initial commitHEAD master

author: joshua <joshua@joshuayun.com> 2023-12-30 23:54:31 -0500
committer: joshua <joshua@joshuayun.com> 2023-12-30 23:54:31 -0500
commit: 86608c6770cf08c138a2bdab5855072f64be09ef (patch)
tree: 494a61b3ef37e76f9235a0d10f5c93d97290a35f /Drivers/CMSIS/DSP
download: sdr-software-master.tar.gz
757 files changed, 223767 insertions, 0 deletions
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/CMakeLists.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/CMakeLists.txt
new file mode 100644
index 0000000..e7ceca2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/CMakeLists.txt
@@ -0,0 +1,136 @@
+cmake_minimum_required (VERSION 3.6)
+cmake_policy(SET CMP0077 NEW)
+# The tests are assuming that MATRIX_CHECK is enabled when building
+# CMSIS-DSP.
+set(MATRIXCHECK ON)
+set(FASTMATHCOMPUTATIONS OFF)
+option(DUMPPATTERN "Dump test patterns when test is failing" ON)
+
+option(CUSTOMIZE_TESTS "Enable customizations of tests" ON)
+option(BASICMATH_TESTS "Enable Basic Math testing" ON)
+option(COMPLEXMATH_TESTS "Enable Complex Math testing" ON)
+option(CONTROLLER_TESTS "Enable Controller testing" ON)
+option(FASTMATH_TESTS "Enable Fast Math testing" ON)
+option(INTRINSICS_TESTS "Enable Intrinsics testing" ON)
+option(FILTERING_TESTS "Enable Filtering testing" ON)
+option(MATRIX_TESTS "Enable Matrix testing" ON)
+option(STATISTICS_TESTS "Enable Statistics testing" ON)
+option(SUPPORT_TESTS "Enable Support testing" ON)
+option(TRANSFORM_TESTS "Enable Transform testing" ON)
+
+
+project(DSP_Lib_TestSuite)
+
+# Needed to find the config modules
+list(APPEND CMAKE_MODULE_PATH ${CMAKE_CURRENT_SOURCE_DIR}/..)
+
+
+set(ROOT ${CMAKE_CURRENT_SOURCE_DIR}/../../..)
+
+
+file(GLOB MAIN "Common/src/*.c")
+file(GLOB BASICMATH_TESTS_SRC "Common/src/basic_math_tests/*.c")
+file(GLOB COMPLEXMATH_TESTS_SRC "Common/src/complex_math_tests/*.c")
+file(GLOB CONTROLLER_TESTS_SRC "Common/src/controller_tests/*.c")
+file(GLOB FASTMATH_TESTS_SRC "Common/src/fast_math_tests/*.c")
+file(GLOB FILTERING_TESTS_SRC "Common/src/filtering_tests/*.c")
+file(GLOB INTRINSINCS_TESTS_SRC "Common/src/intrinsics_tests/*.c")
+file(GLOB MATRIX_TESTS_SRC "Common/src/matrix_tests/*.c")
+file(GLOB STATISTICS_TESTS_SRC "Common/src/statistics_tests/*.c")
+file(GLOB SUPPORT_TESTS_SRC "Common/src/support_tests/*.c")
+file(GLOB TRANSFORM_TESTS_SRC "Common/src/transform_tests/*.c")
+file(GLOB JTEST_MAIN "Common/JTest/src/*.c")
+
+set(TESTSRC ${MAIN}
+  ${BASICMATH_TESTS_SRC}
+  ${COMPLEXMATH_TESTS_SRC}
+  ${CONTROLLER_TESTS_SRC}
+  ${FASTMATH_TESTS_SRC}
+  ${FILTERING_TESTS_SRC}
+  ${INTRINSINCS_TESTS_SRC}
+  ${MATRIX_TESTS_SRC}
+  ${STATISTICS_TESTS_SRC}
+  ${SUPPORT_TESTS_SRC}
+  ${TRANSFORM_TESTS_SRC}
+  ${JTEST_MAIN}
+  )
+
+set(JINCS 
+  Common/JTest/inc
+  Common/JTest/inc/arr_desc
+  Common/inc/basic_math_tests
+  Common/inc/complex_math_tests
+  Common/inc/controller_tests
+  Common/inc/fast_math_tests
+  Common/inc/filtering_tests
+  Common/inc/intrinsics_tests
+  Common/inc/matrix_tests
+  Common/inc/statistics_tests 
+  Common/inc/support_tests 
+  Common/inc/transform_tests
+  )
+
+add_subdirectory(../Source bin_dsp)
+add_subdirectory(RefLibs bin_ref)
+
+
+add_executable(DSP_Lib_TestSuite)
+
+if (CUSTOMIZE_TESTS)
+      target_compile_definitions(DSP_Lib_TestSuite PRIVATE CUSTOMIZE_TESTS)
+endif()
+
+if (BASICMATH_TESTS)
+      target_compile_definitions(DSP_Lib_TestSuite PRIVATE ENABLE_BASICMATH_TESTS)
+endif()
+if (COMPLEXMATH_TESTS)
+      target_compile_definitions(DSP_Lib_TestSuite PRIVATE ENABLE_COMPLEXMATH_TESTS)
+endif()
+if (CONTROLLER_TESTS)
+      target_compile_definitions(DSP_Lib_TestSuite PRIVATE ENABLE_CONTROLLER_TESTS)
+endif()
+if (FASTMATH_TESTS)
+      target_compile_definitions(DSP_Lib_TestSuite PRIVATE ENABLE_FASTMATH_TESTS)
+endif()
+if (FILTERING_TESTS)
+      target_compile_definitions(DSP_Lib_TestSuite PRIVATE ENABLE_FILTERING_TESTS)
+endif()
+if (INTRINSICS_TESTS)
+      target_compile_definitions(DSP_Lib_TestSuite PRIVATE ENABLE_INTRINSICS_TESTS)
+endif()
+if (MATRIX_TESTS)
+      target_compile_definitions(DSP_Lib_TestSuite PRIVATE ENABLE_MATRIX_TESTS)
+endif()
+if (STATISTICS_TESTS)
+      target_compile_definitions(DSP_Lib_TestSuite PRIVATE ENABLE_STATISTICS_TESTS)
+endif()
+if (SUPPORT_TESTS)
+      target_compile_definitions(DSP_Lib_TestSuite PRIVATE ENABLE_SUPPORT_TESTS)
+endif()
+if (TRANSFORM_TESTS)
+      target_compile_definitions(DSP_Lib_TestSuite PRIVATE ENABLE_TRANSFORM_TESTS)
+endif()
+
+
+if (DUMPPATTERN)
+      target_compile_definitions(DSP_Lib_TestSuite PRIVATE DUMPPATTERN)
+endif()
+
+# Change behavior of configBoot for scatter file
+set(TESTFRAMEWORK ON)
+
+include(configBoot)
+
+file(COPY ${ROOT}/CMSIS/DSP/Examples/ARM/boot/RTE_Components.h DESTINATION tempLink)
+
+target_link_libraries(DSP_Lib_TestSuite PRIVATE CMSISDSP)
+target_link_libraries(DSP_Lib_TestSuite PRIVATE DspRefLibs)
+
+target_sources(DSP_Lib_TestSuite PRIVATE ${TESTSRC})
+
+### Includes
+target_include_directories(DSP_Lib_TestSuite PRIVATE "Common/inc")
+target_include_directories(DSP_Lib_TestSuite PRIVATE "Common/inc/templates")
+target_include_directories(DSP_Lib_TestSuite PRIVATE ${JINCS})
+
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/arr_desc/arr_desc.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/arr_desc/arr_desc.h
new file mode 100644
index 0000000..effab26
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/arr_desc/arr_desc.h
@@ -0,0 +1,220 @@
+#ifndef _ARR_DESC_H_
+#define _ARR_DESC_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+#include <stdint.h>
+#include <string.h>             /* memset() */
+#include "../util/util.h"       /* CONCAT() */
+
+/*--------------------------------------------------------------------------------*/
+/* Type Definitions */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Array-descriptor struct.
+ */
+typedef struct ARR_DESC_struct
+{
+    void *  data_ptr;                /* Pointer to the array contents. */
+    int32_t element_count;           /* Number of current elements. */
+    int32_t element_size;            /* Size of current elements in bytes. */
+    int32_t underlying_size;         /* Size of underlying array in bytes. */
+} ARR_DESC_t;
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Prefix of the array variable's name when creating an array and an array
+ *  descriptor at the same time.
+ */
+#define ARR_DESC_ARR_PREFIX ARR_DESC_ARR_
+
+/**
+ *  Evaluate to the array variable's name when creating an array and an array
+ *  descriptor at the same time.
+ */
+#define ARR_DESC_ARR_NAME(name)                 \
+    CONCAT(ARR_DESC_ARR_PREFIX, name)
+
+/**
+ *  Define an #ARR_DESC_t by itself.
+ *
+ *  @note The user must supply an array to store the data used by the
+ *  #ARR_DESC_t.
+ */
+#define ARR_DESC_INTERNAL_DEFINE(name, data_ptr,                \
+                                 element_count, element_size)   \
+    ARR_DESC_t name = {                                         \
+        data_ptr,                                               \
+        element_count,                                          \
+        element_size,                                           \
+        element_count * element_size                            \
+    }                                                           \
+
+/**
+ *  Define both an array and an #ARR_DESC_t that describes it.
+ *
+ *  @note Use the #CURLY() macro for the content field; it provides the curly
+ *  braces necessary for an array initialization.
+ */
+#define ARR_DESC_DEFINE(type, name, element_count, content)             \
+    type ARR_DESC_ARR_NAME(name)[element_count] = content;              \
+    ARR_DESC_INTERNAL_DEFINE(name,                                      \
+                             &ARR_DESC_ARR_NAME(name),                  \
+                             element_count,                             \
+                             sizeof(type)) /* Note the lacking semicolon */
+
+/**
+ *  Create a #ARR_DESC_t which refers to a subset of the data in another.
+ *
+ *  The new #ARR_DESC_t shares the same underlying array as the aliased
+ *  #ARR_DESC_t, but only describes a subset of the originals values.
+ */
+#define ARR_DESC_DEFINE_SUBSET(name, original, element_cnt)         \
+    ARR_DESC_INTERNAL_DEFINE(name,                                  \
+                             &ARR_DESC_ARR_NAME(original),          \
+                             element_cnt,                           \
+                             sizeof(ARR_DESC_ARR_NAME(original)[0]) \
+        ) /* Note the lacking semicolon */
+
+/**
+ *  Creat an #ARR_DESC_t which points to the data in an existing array.
+ *
+ *  @param start_idx Offset in array_ptr of first element.
+ *  @param element_cnt Number of elements to include in the #ARR_DESC_t.
+ *
+ *  @example
+ *
+ *  float my_floats[4] = {0.0f, 1.0f, 2.0f, 3.0f};
+ *
+ *  ARR_DESC_DEFINE_USING_ARR(my_arr_desc, my_floats, 1, 3);
+ *
+ *  printf("Element 0: %f\n", ARR_DESC_ELT(float, 0, &my_arr_desc));
+ *  printf("Element 1: %f\n", ARR_DESC_ELT(float, 1, &my_arr_desc));
+ *
+ *  Outputs:
+ *
+ *  Element 0: 1.000000
+ *  Element 1: 2.000000
+ *
+ *  @warning There are no checks in place to catch invalid start indices; This
+ *  is left to the user.
+ */
+#define ARR_DESC_DEFINE_USING_ARR(type, name, array_ptr, start_idx, element_cnt) \
+    ARR_DESC_INTERNAL_DEFINE(                                           \
+        name,                                                           \
+        (type *) (array_ptr + start_idx),                               \
+        element_cnt,                                                    \
+        sizeof(type)                                                    \
+        ) /* Note the lacking semicolon*/
+
+/**
+ *  Declare an #ARR_DESC_t object.
+ */
+#define ARR_DESC_DECLARE(name)                              \
+    extern ARR_DESC_t name /* Note the lacking semicolon */
+
+/**
+ *  Evaluate to the number of bytes stored in the #ARR_DESC_t.
+ */
+#define ARR_DESC_BYTES(arr_desc_ptr)                                \
+    ((arr_desc_ptr)->element_count * (arr_desc_ptr)->element_size)
+
+/**
+ *  Set the contents of #ARR_DESC_t to value.
+ */
+#define ARR_DESC_MEMSET(arr_desc_ptr, value, bytes)     \
+    do                                                  \
+    {                                                   \
+        memset((arr_desc_ptr)->data_ptr,                \
+               value,                                   \
+               BOUND(0,                                 \
+                     (arr_desc_ptr)->underlying_size,   \
+                     bytes)                             \
+            );                                          \
+    } while (0)
+
+/**
+ *  Perform a memcpy of 'bytes' bytes from the source #ARR_DESC_t to the
+ *  destination #ARR_DESC_t.
+ */
+#define ARR_DESC_MEMCPY(arr_desc_dest_ptr, arr_desc_src_ptr, bytes) \
+    do                                                              \
+    {                                                               \
+        memcpy((arr_desc_dest_ptr)->data_ptr,                       \
+               (arr_desc_src_ptr)->data_ptr,                        \
+               BOUND(0,                                             \
+                     (arr_desc_dest_ptr)->underlying_size,          \
+                     bytes));                                       \
+    } while (0)
+
+/**
+ *  Evaluate to true if the source #ARR_DESC_t contents will fit into the
+ *  destination #ARR_DESC_t and false otherwise.
+ */
+#define ARR_DESC_COPYABLE(arr_desc_dest_ptr, arr_desc_src_ptr)  \
+      (ARR_DESC_BYTES(arr_desc_src_ptr) <=                      \
+       (arr_desc_dest_ptr)->underlying_size)
+
+/**
+ *  Copy all the data from the source #ARR_DESC_t to the destination
+ *  #ARR_DESC_t.
+ *
+ *  @note If the destination #ARR_DESC_t is too small to fit the source data the
+ *  copy is aborted and nothing happens.
+ */
+#define ARR_DESC_COPY(arr_desc_dest_ptr, arr_desc_src_ptr)      \
+    do                                                          \
+    {                                                           \
+        if (ARR_DESC_COPYABLE(arr_desc_dest_ptr,                 \
+                             arr_desc_src_ptr))                 \
+        {                                                       \
+            ARR_DESC_MEMCPY(arr_desc_dest_ptr,                  \
+                            arr_desc_src_ptr,                   \
+                            ARR_DESC_BYTES(arr_desc_src_ptr));  \
+            /* Update the properties*/                          \
+            (arr_desc_dest_ptr)->element_count =                \
+                (arr_desc_src_ptr)->element_count;              \
+            (arr_desc_dest_ptr)->element_size =                 \
+                (arr_desc_src_ptr)->element_size;               \
+        }                                                       \
+    } while (0)
+
+/**
+ *  Compare the data in two #ARR_DESC_t structs for the specified number of
+ *  bytes.
+ */
+#define ARR_DESC_MEMCMP(arr_desc_ptr_a, arr_desc_ptr_b, bytes)  \
+        memcmp((arr_desc_ptr_a)->data_ptr,                      \
+            (arr_desc_ptr_b)->data_ptr,                         \
+               bytes) /* Note the lacking semicolon */          \
+
+/**
+ *  Zero out the contents of the #ARR_DESC_t.
+ */
+#define ARR_DESC_ZERO(arr_desc_ptr)             \
+        ARR_DESC_MEMSET(arr_desc_ptr,           \
+                        0,                      \
+                        (arr_desc_ptr)->underlying_size)
+
+/**
+ *  Evaluate to the data address in #ARR_DESC_t at offset.
+ */
+#define ARR_DESC_DATA_ADDR(type, arr_desc_ptr, offset)  \
+        ((void*)(((type *)                              \
+                  ((arr_desc_ptr)->data_ptr))           \
+                 + offset))
+
+/**
+ *  Evaluate to the element in #ARR_DESC_t with type at idx.
+ */
+#define ARR_DESC_ELT(type, idx, arr_desc_ptr)           \
+        (*((type *) ARR_DESC_DATA_ADDR(type,            \
+                                       arr_desc_ptr,    \
+                                       idx)))
+
+#endif /* _ARR_DESC_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest.h
new file mode 100644
index 0000000..9d0af06
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest.h
@@ -0,0 +1,17 @@
+#ifndef _JTEST_H_
+#define _JTEST_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "jtest_fw.h"
+#include "jtest_test.h"
+#include "jtest_test_define.h"
+#include "jtest_test_call.h"
+#include "jtest_group.h"
+#include "jtest_group_define.h"
+#include "jtest_group_call.h"
+#include "jtest_cycle.h"
+
+#endif /* _JTEST_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_cycle.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_cycle.h
new file mode 100644
index 0000000..96d13cd
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_cycle.h
@@ -0,0 +1,79 @@
+#ifndef _JTEST_CYCLE_H_
+#define _JTEST_CYCLE_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "jtest_fw.h"           /* JTEST_DUMP_STRF() */
+#include "jtest_systick.h"
+#include "jtest_util.h"         /* STR() */
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Module Variables */
+/*--------------------------------------------------------------------------------*/
+extern const char * JTEST_CYCLE_STRF;
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Wrap the function call, fn_call, to count execution cycles and display the
+ *  results.
+ */
+/* skipp function name + param
+#define JTEST_COUNT_CYCLES(fn_call)                     \
+    do                                                  \
+    {                                                   \
+        uint32_t __jtest_cycle_end_count;               \
+                                                        \
+        JTEST_SYSTICK_RESET(SysTick);                   \
+        JTEST_SYSTICK_START(SysTick);                   \
+                                                        \
+        fn_call;                                        \
+                                                        \
+        __jtest_cycle_end_count =                       \
+            JTEST_SYSTICK_VALUE(SysTick);               \
+                                                        \
+		JTEST_SYSTICK_RESET(SysTick);                   \
+        JTEST_DUMP_STRF(JTEST_CYCLE_STRF,               \
+                        STR(fn_call),                   \
+                        (JTEST_SYSTICK_INITIAL_VALUE -  \
+                         __jtest_cycle_end_count));     \
+    } while (0)
+*/
+#ifndef ARMv7A
+
+#define JTEST_COUNT_CYCLES(fn_call)                     \
+    do                                                  \
+    {                                                   \
+        uint32_t __jtest_cycle_end_count;               \
+                                                        \
+        JTEST_SYSTICK_RESET(SysTick);                   \
+        JTEST_SYSTICK_START(SysTick);                   \
+                                                        \
+        fn_call;                                        \
+                                                        \
+        __jtest_cycle_end_count =                       \
+            JTEST_SYSTICK_VALUE(SysTick);               \
+                                                        \
+		JTEST_SYSTICK_RESET(SysTick);           \
+        JTEST_DUMP_STRF(JTEST_CYCLE_STRF,               \
+                        (JTEST_SYSTICK_INITIAL_VALUE -  \
+                         __jtest_cycle_end_count));     \
+    } while (0)
+
+#else
+/* TODO */
+#define JTEST_COUNT_CYCLES(fn_call)                     \
+    do                                                  \
+    {                                                   \
+		fn_call;   										\
+    } while (0)
+
+#endif
+
+#endif /* _JTEST_CYCLE_H_ */
+
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_define.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_define.h
new file mode 100644
index 0000000..cbec329
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_define.h
@@ -0,0 +1,37 @@
+#ifndef _JTEST_DEFINE_H_
+#define _JTEST_DEFINE_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Makes a symbol for use as a struct name. Names made this way have two parts;
+ *  the first parts is a prefix common to all structs of that class. The second
+ *  is a specifier which differs for each instance of that struct type.
+ */
+#define JTEST_STRUCT_NAME(prefix, specifier)    \
+    CONCAT(prefix, specifier)
+
+/**
+ *  Define a struct with type with a name generated by #JTEST_STRUCT_NAME().
+ */
+#define JTEST_DEFINE_STRUCT(type, struct_name)    \
+    type struct_name
+
+/**
+ *  Declare a struct with type with a name generated by #JTEST_STRUCT_NAME().
+ */
+#define JTEST_DECLARE_STRUCT(struct_definition) \
+    extern struct_definition
+
+/**
+ *  Define and initialize a struct (created with JTEST_DEFINE_STRUCT()) and
+ *  initialize it with init_values.
+ */
+#define JTEST_INIT_STRUCT(struct_definition, init_values)       \
+    struct_definition = {                                       \
+        init_values                                             \
+    }
+
+#endif /* _JTEST_DEFINE_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_fw.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_fw.h
new file mode 100644
index 0000000..8c6df9d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_fw.h
@@ -0,0 +1,282 @@
+#ifndef _JTEST_FW_H_
+#define _JTEST_FW_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include <stdint.h>             /* int32_t */
+#include <string.h>             /* strcpy() */
+#include <stdio.h>              /* sprintf() */
+#include "jtest_pf.h"           /* Extend JTEST_FW_t with Pass/Fail data */
+#include "jtest_group.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Type Definitions */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  A struct used to interface with the Keil Debugger.
+ */
+typedef struct JTEST_FW_struct
+{
+    /* Action Triggers: The Keil debugger monitors these values for changes.  In
+     * response to a change, the debugger executes code on the host. */
+    volatile int32_t test_start;
+    volatile int32_t test_end;
+    volatile int32_t group_start;
+    volatile int32_t group_end;
+    volatile int32_t dump_str;
+    volatile int32_t dump_data;
+    volatile int32_t exit_fw;
+
+    JTEST_GROUP_t * current_group_ptr;
+
+    /* Buffers: The C-code cannot send strings and data directly to the
+     * debugging framework. Instead, the debugger can be told to read 128 byte
+     * (by default) chunks of memory.  Data received in this manner requires
+     * post-processing to be legible.*/
+    char * str_buffer;
+    char * data_buffer;
+
+    /* Pass/Fail Data */
+    JTEST_PF_MEMBERS;
+
+} JTEST_FW_t;
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Default name for the JTEST_FW struct.
+ *
+ *  Define your own if you want the variable containing the #JTEST_FW_t to have
+ *  a different name.
+ */
+#ifndef JTEST_FW
+#define JTEST_FW JTEST_FW
+#endif
+
+/**
+ *  Default name for the JTEST_FW_STR_BUFFER.
+ *
+ *  Define your own if you want the variable containing the char buffer to have
+ *  a different name.
+ */
+#ifndef JTEST_FW_STR_BUFFER
+#define JTEST_FW_STR_BUFFER JTEST_FW_STR_BUFFER
+#endif
+
+/**
+ *  Size of the #JTEST_FW_t, output string-buffer.
+ *
+ *  If you change this value, make sure the "dump_str_fn" and "dump_data_fn"
+ *  functions in jtest_fns.ini uses the same size. If you aren't sure, read the
+ *  documentation Keil Debugger Command 'DISPLAY'.
+ */
+#define JTEST_BUF_SIZE 256
+
+
+/**
+ *  The maximum number of bytes output at once using #JTEST_DUMP_STRF().
+ */
+#define JTEST_STR_MAX_OUTPUT_SIZE 128
+
+/**
+ *  The maximum number of block transimissions needed to send a string from a
+ *  buffer with JTEST_BUF_SIZE.
+ */
+#define JTEST_STR_MAX_OUTPUT_SEGMENTS           \
+    (JTEST_BUF_SIZE / JTEST_STR_MAX_OUTPUT_SIZE)
+
+/**
+ *  Initialize the JTEST framework.
+ */
+#define JTEST_INIT()                                                    \
+    do                                                                  \
+    {                                                                   \
+        JTEST_FW.str_buffer = JTEST_FW_STR_BUFFER;                      \
+    } while (0)
+
+/* Debugger Action-triggering Macros */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Dispatch macro to trigger various actions in the Keil Debugger.
+ */
+#define JTEST_TRIGGER_ACTION(action_name)       \
+    do                                          \
+    {                                           \
+        action_name();                          \
+    } while (0)
+
+/**
+ *  Trigger the "Test Start" action in the Keil Debugger.
+ */
+#define JTEST_ACT_TEST_START()                  \
+    JTEST_TRIGGER_ACTION(test_start)
+
+/**
+ *  Trigger the "Test End" action in the Keil Debugger.
+ */
+#define JTEST_ACT_TEST_END()                    \
+    JTEST_TRIGGER_ACTION(test_end)
+
+
+/**
+ *  Trigger the "Group Start" action in the Keil Debugger.
+ */
+#define JTEST_ACT_GROUP_START()                 \
+    JTEST_TRIGGER_ACTION(group_start)
+
+/**
+ *  Trigger the "Group End" action in the Keil Debugger.
+ */
+#define JTEST_ACT_GROUP_END()                   \
+    JTEST_TRIGGER_ACTION(group_end)
+
+
+/**
+ *  Fill the buffer named buf_name with value and dump it to the Keil debugger
+ *  using action.
+ */
+#if defined(ARMv7A) || defined(FILEIO)
+
+#define JTEST_ACT_DUMP(action, buf_name, value) \
+    do                                          \
+    {                                           \
+        JTEST_CLEAR_BUFFER(buf_name);           \
+	    printf("%s",value);                     \
+        strcpy(JTEST_FW.buf_name, (value));     \
+        JTEST_TRIGGER_ACTION(action);           \
+    } while (0)
+
+#else
+
+#define JTEST_ACT_DUMP(action, buf_name, value) \
+    do                                          \
+    {                                           \
+        JTEST_CLEAR_BUFFER(buf_name);           \
+        strcpy(JTEST_FW.buf_name, (value));     \
+        JTEST_TRIGGER_ACTION(action);           \
+    } while (0)
+
+#endif
+/**
+ *  Trigger the "Exit Framework" action in the Keil Debugger.
+ */
+#define JTEST_ACT_EXIT_FW()                     \
+    do                                          \
+    {                                           \
+        JTEST_TRIGGER_ACTION(exit_fw);          \
+    } while (0)
+
+
+/* Buffer Manipulation Macros */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Clear the JTEST_FW buffer with name buf_name.
+ */
+#define JTEST_CLEAR_BUFFER(buf_name)                    \
+    do                                                  \
+    {                                                   \
+        memset(JTEST_FW.buf_name, 0, JTEST_BUF_SIZE);   \
+    } while (0)
+
+/**
+ *  Clear the memory needed for the JTEST_FW's string buffer.
+ */
+#define JTEST_CLEAR_STR_BUFFER()                \
+        JTEST_CLEAR_BUFFER(str_buffer)
+
+/**
+ *  Clear the memory needed for the JTEST_FW's data buffer.
+ */
+#define JTEST_CLEAR_DATA_BUFFER()               \
+        JTEST_CLEAR_BUFFER(data_buffer)
+
+/**
+ *  Dump the given string to the Keil Debugger.
+ */
+#define JTEST_DUMP_STR(string)                          \
+        JTEST_ACT_DUMP(dump_str, str_buffer, string)
+
+/**
+ *  Dump a formatted string to the Keil Debugger.
+ */
+#if defined(ARMv7A) || defined(FILEIO)
+
+#define JTEST_DUMP_STRF(format_str, ... )                               \
+    do                                                                  \
+    {                                                                   \
+        JTEST_CLEAR_STR_BUFFER();                                       \
+        sprintf(JTEST_FW.str_buffer,format_str, __VA_ARGS__);           \
+        printf("%s",JTEST_FW.str_buffer);                               \
+        jtest_dump_str_segments();                                      \
+    } while (0)
+
+#else
+
+#define JTEST_DUMP_STRF(format_str, ... )                               \
+    do                                                                  \
+    {                                                                   \
+        JTEST_CLEAR_STR_BUFFER();                                       \
+        sprintf(JTEST_FW.str_buffer,format_str, __VA_ARGS__);           \
+        jtest_dump_str_segments();                                      \
+    } while (0)
+
+#endif
+
+/* Pass/Fail Macros */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Increment the number of passed tests in #JTEST_FW.
+ */
+#define JTEST_FW_INC_PASSED(amount)             \
+        JTEST_PF_INC_PASSED(&JTEST_FW, amount)
+
+/**
+ *  Increment the number of passed tests in #JTEST_FW.
+ */
+#define JTEST_FW_INC_FAILED(amount)             \
+        JTEST_PF_INC_FAILED(&JTEST_FW, amount)
+
+/* Manipulating the Current Group */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Evaluate to the current_group_ptr in #JTEST_FW.
+ */
+#define JTEST_CURRENT_GROUP_PTR()               \
+    (JTEST_FW.current_group_ptr)
+
+#define JTEST_SET_CURRENT_GROUP(group_ptr)      \
+    do                                          \
+    {                                           \
+        JTEST_CURRENT_GROUP_PTR() = group_ptr;  \
+    } while (0)
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Global Variables */
+/*--------------------------------------------------------------------------------*/
+extern char JTEST_FW_STR_BUFFER[JTEST_BUF_SIZE];
+extern volatile JTEST_FW_t JTEST_FW;
+
+/*--------------------------------------------------------------------------------*/
+/* Function Prototypes */
+/*--------------------------------------------------------------------------------*/
+void jtest_dump_str_segments(void);
+
+void test_start  (void);
+void test_end    (void);
+void group_start (void);
+void group_end   (void);
+void dump_str    (void);
+void dump_data   (void);
+void exit_fw     (void);
+
+
+#endif /* _JTEST_FW_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_group.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_group.h
new file mode 100644
index 0000000..3b37ae4
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_group.h
@@ -0,0 +1,66 @@
+#ifndef _JTEST_GROUP_H_
+#define _JTEST_GROUP_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "jtest_pf.h"
+#include "jtest_util.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Type Definitions */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  A struct which represents a group of #JTEST_TEST_t structs. This struct is
+ *  used to run the group of tests, and report on their outcomes.
+ */
+typedef struct JTEST_GROUP_struct
+{
+    void (* group_fn_ptr) (void); /**< Pointer to the test group */
+    char * name_str;              /**< Name of the group */
+    
+    /* Extend the #JTEST_GROUP_t with Pass/Fail information.*/
+    JTEST_PF_MEMBERS;
+} JTEST_GROUP_t;
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Set the name of JTEST_GROUP_t.
+ */
+#define JTEST_GROUP_SET_NAME(group_ptr, name)     \
+    JTEST_SET_STRUCT_ATTRIBUTE(group_ptr, name_str, name)
+
+#define JTEST_GROUP_SET_FN(group_ptr, fn_ptr)     \
+    JTEST_SET_STRUCT_ATTRIBUTE(group_ptr, group_fn_ptr, fn_ptr)
+
+/**
+ *  Increment the number of tests passed in the JTEST_GROUP_t pointed to by
+ *  group_ptr.
+ */
+#define JTEST_GROUP_INC_PASSED(group_ptr, amount) \
+    JTEST_PF_INC_PASSED(group_ptr, amount)
+
+/**
+ *  Increment the number of tests failed in the JTEST_GROUP_t pointed to by
+ *  group_ptr.
+ */
+#define JTEST_GROUP_INC_FAILED(group_ptr, amount) \
+    JTEST_PF_INC_FAILED(group_ptr, amount)
+
+/**
+ *  Reset the pass/fail information of the #JTEST_GROUP_t pointed to by
+ *  group_ptr.
+ */
+#define JTEST_GROUP_RESET_PF(group_ptr)         \
+    do                                          \
+    {                                           \
+        JTEST_PF_RESET_PASSED(group_ptr);       \
+        JTEST_PF_RESET_FAILED(group_ptr);       \
+    } while (0)
+
+#endif /* _JTEST_GROUP_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_group_call.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_group_call.h
new file mode 100644
index 0000000..d565a4c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_group_call.h
@@ -0,0 +1,126 @@
+#ifndef _JTEST_GROUP_CALL_H_
+#define _JTEST_GROUP_CALL_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "jtest_fw.h"
+#include <inttypes.h>
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Execute the test in the #JTEST_GROUP_t struct associated witht he identifier
+ *  group_fn.
+ */
+#define JTEST_GROUP_RUN(group_fn)                                   \
+    do                                                              \
+    {                                                               \
+        JTEST_DUMP_STR("Group Name:\n");                            \
+        JTEST_DUMP_STR(JTEST_GROUP_STRUCT_NAME(group_fn).name_str); \
+        JTEST_GROUP_STRUCT_NAME(group_fn).group_fn_ptr();           \
+    } while (0)
+
+
+/**
+ *  Update the enclosing #JTEST_GROUP_t's pass/fail information using the
+ *  current #JTEST_GROUP_t's.
+ *
+ *  @param group_ptr Pointer to the current #JTEST_GROUP_t.
+ *  @param parent_ptr Pointer to the enclosing #JTEST_GROUP_t.
+ *
+ *  @warning Only run this if the current #JTEST_GROUP_t is being called within
+ *  the context of another #JTEST_GROUP_t.
+ */
+#define JTEST_GROUP_UPDATE_PARENT_GROUP_PF(group_ptr, parent_group_ptr) \
+    do                                                                  \
+    {                                                                   \
+        JTEST_GROUP_INC_PASSED(parent_group_ptr,                        \
+                               (group_ptr)->passed);                    \
+        JTEST_GROUP_INC_FAILED(parent_group_ptr,                        \
+                               (group_ptr)->failed);                    \
+    } while (0)
+
+/**
+ *  Update the #JTEST_FW's pass/fail information using the current
+ *  #JTEST_GROUP_t's.
+ */
+#define JTEST_GROUP_UPDATE_FW_PF(group_ptr)                     \
+    do                                                          \
+    {                                                           \
+        JTEST_FW_INC_PASSED((group_ptr)->passed);               \
+        JTEST_FW_INC_FAILED((group_ptr)->failed);               \
+    } while (0)
+
+/**
+ *  Update the enclosing context with the current #JTEST_GROUP_t's pass/fail
+ *  information. If this group isn't in an enclosing group, it updates the
+ *  #JTEST_FW's pass/fail info by default.
+ */
+#define JTEST_GROUP_UPDATE_PARENT_GROUP_OR_FW_PF(group_ptr,         \
+                                                 parent_group_ptr)  \
+    do                                                              \
+    {                                                               \
+        /* Update the pass fail counts in the parent group */       \
+        if (parent_group_ptr /* Null implies Top*/)                 \
+        {                                                           \
+            JTEST_GROUP_UPDATE_PARENT_GROUP_PF(                     \
+                group_ptr,                                          \
+                parent_group_ptr);                                  \
+        } else {                                                    \
+            JTEST_GROUP_UPDATE_FW_PF(                               \
+                group_ptr);                                         \
+        }                                                           \
+    } while (0)
+
+/**
+ *  Dump the results of running the #JTEST_GROUP_t to the Keil Debugger.
+ */
+#define JTEST_GROUP_DUMP_RESULTS(group_ptr)                             \
+        do                                                              \
+        {                                                               \
+            JTEST_DUMP_STRF(                                            \
+                "Tests Run: %" PRIu32 "\n"                              \
+                "----------\n"                                          \
+                "   Passed: %" PRIu32 "\n"                              \
+                "   Failed: %" PRIu32 "\n",                             \
+                (group_ptr)->passed + (group_ptr)->failed,              \
+                (group_ptr)->passed,                                    \
+                (group_ptr)->failed);                                   \
+        } while (0)
+
+/**
+ *  Call the #JTEST_GROUP_t associated with the identifier group_fn.
+ */
+#define JTEST_GROUP_CALL(group_fn)                                      \
+        do                                                              \
+        {   /* Save the current group from JTEST_FW_t before swapping */ \
+            /* it to this group (in order to restore it later )*/       \
+            JTEST_GROUP_t * __jtest_temp_group_ptr =                    \
+                JTEST_CURRENT_GROUP_PTR();                              \
+            JTEST_SET_CURRENT_GROUP(&JTEST_GROUP_STRUCT_NAME(group_fn)); \
+                                                                        \
+            /* Reset this group's pass/fail count. Each group */        \
+            /* should only remember counts for its last execution. */   \
+            JTEST_GROUP_RESET_PF(JTEST_CURRENT_GROUP_PTR());            \
+                                                                        \
+            /* Run the current group */                                 \
+            JTEST_ACT_GROUP_START();                                    \
+            JTEST_GROUP_RUN(group_fn);                                  \
+            JTEST_ACT_GROUP_END();                                      \
+                                                                        \
+            /* Update the pass fail counts in the parent group (or FW) */ \
+            JTEST_GROUP_UPDATE_PARENT_GROUP_OR_FW_PF(                   \
+                JTEST_CURRENT_GROUP_PTR(),                              \
+                __jtest_temp_group_ptr);                                \
+                                                                        \
+            JTEST_GROUP_DUMP_RESULTS(JTEST_CURRENT_GROUP_PTR());        \
+                                                                        \
+            /* Restore the previously current group */                  \
+            JTEST_SET_CURRENT_GROUP(__jtest_temp_group_ptr);            \
+        } while (0)
+
+#endif /* _JTEST_GROUP_CALL_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_group_define.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_group_define.h
new file mode 100644
index 0000000..b3a86c0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_group_define.h
@@ -0,0 +1,87 @@
+#ifndef _JTEST_GROUP_DEFINE_H_
+#define _JTEST_GROUP_DEFINE_H_
+
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "jtest_util.h"
+#include "jtest_define.h"
+#include "jtest_group.h"
+
+/* For defining macros with optional arguments */
+#include "opt_arg/opt_arg.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Prefix for all #JTEST_GROUP_t structs.
+ */
+#define JTEST_GROUP_STRUCT_NAME_PREFIX G_JTEST_GROUP_STRUCT_
+
+/**
+ *  Define test template used by #JTEST_GROUP_t tests.
+ */
+#define JTEST_GROUP_FN_TEMPLATE(group_fn)    \
+    void group_fn(void)
+
+#define JTEST_GROUP_FN_PROTOTYPE JTEST_GROUP_FN_TEMPLATE /**< Alias for
+                                                            #JTEST_GROUP_FN_TEMPLATE. */
+
+/**
+ *  Evaluate to the name of the #JTEST_GROUP_t struct associated with group_fn.
+ */
+#define JTEST_GROUP_STRUCT_NAME(group_fn)    \
+    JTEST_STRUCT_NAME(JTEST_GROUP_STRUCT_NAME_PREFIX, group_fn)
+
+/**
+ *  Define a #JTEST_GROUP_t struct based on the given group_fn.
+ */
+#define JTEST_GROUP_DEFINE_STRUCT(group_fn)  \
+    JTEST_DEFINE_STRUCT(JTEST_GROUP_t,       \
+                        JTEST_GROUP_STRUCT_NAME(group_fn))
+
+/**
+ *  Declare a #JTEST_GROUP_t struct based on the given group_fn.
+ */
+#define JTEST_GROUP_DECLARE_STRUCT(group_fn) \
+    JTEST_DECLARE_STRUCT(JTEST_GROUP_DEFINE_STRUCT(group_fn))
+
+/**
+ *  Contents needed to initialize a JTEST_GROUP_t struct.
+ */
+#define JTEST_GROUP_STRUCT_INIT(group_fn)    \
+    group_fn,                                \
+        STR_NL(group_fn),                       \
+        JTEST_PF_MEMBER_INIT
+
+/**
+ *  Initialize the contents of a #JTEST_GROUP_t struct.
+ */
+#define JTEST_GROUP_INIT(group_fn)           \
+    JTEST_GROUP_DEFINE_STRUCT(group_fn) = {  \
+        JTEST_GROUP_STRUCT_INIT(group_fn)    \
+    }
+
+/* Test Definition Macro */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Define a #JTEST_GROUP_t object and a test function.
+ */
+#define JTEST_DEFINE_GROUP(group_fn)         \
+    JTEST_GROUP_FN_PROTOTYPE(group_fn);      \
+    JTEST_GROUP_INIT(group_fn);              \
+    JTEST_GROUP_FN_PROTOTYPE(group_fn) /* Notice the lacking semicolon */
+
+/**
+ *  Declare a #JTEST_GROUP_t object and a test function prototype.
+ */
+#define JTEST_DECLARE_GROUP(group_fn)        \
+    JTEST_GROUP_FN_PROTOTYPE(group_fn);      \
+    JTEST_GROUP_DECLARE_STRUCT(group_fn) /* Note the lacking semicolon */
+
+#endif /* _JTEST_GROUP_DEFINE_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_pf.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_pf.h
new file mode 100644
index 0000000..2b005b6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_pf.h
@@ -0,0 +1,85 @@
+#ifndef _JTEST_PF_H_
+#define _JTEST_PF_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Purpose */
+/*--------------------------------------------------------------------------------*/
+/* jtest_pf.h Contains macros useful for capturing pass/fail data. */
+
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ * Members that can be added to other structs to extend them pass/fail data and
+ * corresponding functionality.
+ */
+#define JTEST_PF_MEMBERS                            \
+    uint32_t passed;                                \
+    uint32_t failed /* Note the lacking semicolon*/ \
+
+/**
+ *  Used for initializing JTEST_PF_MEMBERS in a struct declaration.
+ */
+#define JTEST_PF_MEMBER_INIT                    \
+    0,                                          \
+    0
+
+/* Member-Incrementing Macros */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Dispatch macro for incrementing #JTEST_PF_MEMBERS.
+ *
+ *  @param xxx Values: 'passed', 'failed'
+ */
+#define JTEST_PF_INC_XXX(xxx, struct_pf_ptr, amount)    \
+    do                                                  \
+    {                                                   \
+        ((struct_pf_ptr)->xxx) += (amount);             \
+    } while (0)
+
+/**
+ *  Specialization of the #JTEST_PF_INC_XXX macro to increment the passed
+ *  member.
+ */
+#define JTEST_PF_INC_PASSED(struct_pf_ptr, amount)  \
+    JTEST_PF_INC_XXX(passed, struct_pf_ptr, amount)
+
+
+/**
+ *  Specialization of the #JTEST_PF_INC_XXX macro to increment the failed
+ *  member.
+ */
+#define JTEST_PF_INC_FAILED(struct_pf_ptr, amount)  \
+    JTEST_PF_INC_XXX(failed, struct_pf_ptr, amount)
+
+
+/* Member-Resetting Macros */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Dispatch macro for setting #JTEST_PF_MEMBERS to zero.
+ *
+ *  @param xxx Values: 'passed', 'failed'
+ */
+#define JTEST_PF_RESET_XXX(xxx, struct_pf_ptr)  \
+    do                                          \
+    {                                           \
+        ((struct_pf_ptr)->xxx) = UINT32_C(0);   \
+    } while (0)
+
+/**
+ *  Specialization of #JTEST_PF_RESET_XXX for the 'passed' member.
+ */
+#define JTEST_PF_RESET_PASSED(struct_pf_ptr)    \
+    JTEST_PF_RESET_XXX(passed, struct_pf_ptr)
+
+/**
+ *  Specialization of #JTEST_PF_RESET_XXX for the 'failed' member.
+ */
+#define JTEST_PF_RESET_FAILED(struct_pf_ptr)    \
+    JTEST_PF_RESET_XXX(failed, struct_pf_ptr)
+
+#endif /* _JTEST_PF_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_systick.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_systick.h
new file mode 100644
index 0000000..9f320b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_systick.h
@@ -0,0 +1,94 @@
+#ifndef _JTEST_SYSTICK_H_
+#define _JTEST_SYSTICK_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes                                                                       */
+/*--------------------------------------------------------------------------------*/
+
+/* Get access to the SysTick structure. */
+#if   defined ARMCM0
+  #include "ARMCM0.h"
+#elif defined ARMCM0P
+  #include "ARMCM0plus.h"
+#elif defined ARMCM0P_MPU
+  #include "ARMCM0plus_MPU.h"
+#elif defined ARMCM3
+  #include "ARMCM3.h"
+#elif defined ARMCM4
+  #include "ARMCM4.h"
+#elif defined ARMCM4_FP
+  #include "ARMCM4_FP.h"
+#elif defined ARMCM7
+  #include "ARMCM7.h" 
+#elif defined ARMCM7_SP
+  #include "ARMCM7_SP.h"
+#elif defined ARMCM7_DP
+  #include "ARMCM7_DP.h"
+#elif defined ARMSC000
+  #include "ARMSC000.h"
+#elif defined ARMSC300
+  #include "ARMSC300.h"
+#elif defined ARMv8MBL
+  #include "ARMv8MBL.h"
+#elif defined ARMv8MML
+  #include "ARMv8MML.h"
+#elif defined ARMv8MML_DSP
+  #include "ARMv8MML_DSP.h"
+#elif defined ARMv8MML_SP
+  #include "ARMv8MML_SP.h"
+#elif defined ARMv8MML_DSP_SP
+  #include "ARMv8MML_DSP_SP.h"
+#elif defined ARMv8MML_DP
+  #include "ARMv8MML_DP.h"
+#elif defined ARMv8MML_DSP_DP
+  #include "ARMv8MML_DSP_DP.h"
+#elif defined ARMv7A
+  /* TODO */
+#else
+  #warning "no appropriate header file found!"
+#endif
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines                                                             */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Initial value for the SysTick module.
+ *
+ *  This is also the maximum value, important as SysTick is a decrementing counter.
+ */
+#define JTEST_SYSTICK_INITIAL_VALUE       0xFFFFFF
+
+/**
+ *  Reset the SysTick, decrementing timer to it's maximum value and disable it.
+ *
+ *  This macro should leave the SysTick timer in a state that's ready for cycle
+ *  counting.
+ */
+#define JTEST_SYSTICK_RESET(systick_ptr)                    \
+    do                                                      \
+    {                                                       \
+        (systick_ptr)->CTRL = SysTick_CTRL_CLKSOURCE_Msk;   \
+                                                            \
+        (systick_ptr)->LOAD = JTEST_SYSTICK_INITIAL_VALUE;  \
+        (systick_ptr)->VAL  = JTEST_SYSTICK_INITIAL_VALUE;  \
+    } while (0)
+
+/**
+ *  Start the SysTick timer, sourced by the processor clock.
+ */
+#define JTEST_SYSTICK_START(systick_ptr)                    \
+    do                                                      \
+    {                                                       \
+        (systick_ptr)->CTRL =                               \
+            SysTick_CTRL_ENABLE_Msk |                       \
+            SysTick_CTRL_CLKSOURCE_Msk;                     \
+    } while (0)
+
+/**
+ *  Evaluate to the current value of the SysTick timer.
+ */
+#define JTEST_SYSTICK_VALUE(systick_ptr)                    \
+    ((systick_ptr)->VAL)
+           
+#endif /* _JTEST_SYSTICK_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_test.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_test.h
new file mode 100644
index 0000000..023145f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_test.h
@@ -0,0 +1,100 @@
+#ifndef _JTEST_TEST_H_
+#define _JTEST_TEST_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include <stdint.h>
+#include "jtest_util.h"
+#include "jtest_test_ret.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Type Definitions */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  A struct which represents a Test in the JTEST framework.  This struct is
+ *  used to enable, run, and describe the test it represents.
+ */
+typedef struct JTEST_TEST_struct
+{
+    JTEST_TEST_RET_t ( * test_fn_ptr)(void); /**< Pointer to the test function. */
+    char   * test_fn_str;                    /**< Name of the test function */
+    char   * fut_str;           /**< Name of the function under test. */
+
+    /**
+     *  Flags that govern how the #JTEST_TEST_t behaves.
+     */
+    union {
+        struct {
+            unsigned enabled : 1;
+            unsigned unused  : 7;
+        } bits;
+        uint8_t byte;           /* Access all flags at once. */
+    } flags;
+    
+} JTEST_TEST_t;
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Assign a test function to the #JTEST_TEST_t struct.
+ */
+#define JTEST_TEST_SET_FN(jtest_test_ptr, fn_ptr)                   \
+    JTEST_SET_STRUCT_ATTRIBUTE(jtest_test_ptr, test_fn_ptr, fn_ptr)
+
+/**
+ *  Specify a function under test (FUT) for the #JTEST_TEST_t struct.
+ */
+#define JTEST_TEST_SET_FUT(jtest_test_ptr, str)                 \
+    JTEST_SET_STRUCT_ATTRIBUTE(jtest_test_ptr, fut_str, str)
+
+/* Macros concerning JTEST_TEST_t flags */
+/*--------------------------------------------------------------------------------*/
+
+#define JTEST_TEST_FLAG_SET 1 /**< Value of a set #JTEST_TEST_t flag. */
+#define JTEST_TEST_FLAG_CLR 0 /**< Value of a cleared #JTEST_TEST_t flag. */
+
+/**
+ *  Evaluate to the flag in #JTEST_TEST_t having flag_name.
+ */
+#define JTEST_TEST_FLAG(jtest_test_ptr, flag_name)  \
+    ((jtest_test_ptr)->flags.bits.flag_name)
+
+/**
+ *  Dispatch macro for setting and clearing #JTEST_TEST_t flags.
+ *
+ *  @param jtest_test_ptr Pointer to a #JTEST_TEST_t struct.
+ *  @param flag_name      Name of the flag to set in #JTEST_TEST_t.flags.bits
+ *  @param xxx            Vaid values: "SET" or "CLR"
+ *
+ *  @note This function depends on JTEST_TEST_FLAG_SET and JTEST_TEST_FLAG_CLR.
+ */
+#define JTEST_TEST_XXX_FLAG(jtest_test_ptr, flag_name, xxx)                  \
+    do                                                                       \
+    {                                                                        \
+        JTEST_TEST_FLAG(jtest_test_ptr, flag_name) = JTEST_TEST_FLAG_##xxx ; \
+    } while (0)
+
+/**
+ *  Specification of #JTEST_TEST_XXX_FLAG to set #JTEST_TEST_t flags.
+ */
+#define JTEST_TEST_SET_FLAG(jtest_test_ptr, flag_name)                       \
+    JTEST_TEST_XXX_FLAG(jtest_test_ptr, flag_name, SET)
+
+/**
+ *  Specification of #JTEST_TEST_XXX_FLAG to clear #JTEST_TEST_t flags.
+ */
+#define JTEST_TEST_CLR_FLAG(jtest_test_ptr, flag_name)                       \
+    JTEST_TEST_XXX_FLAG(jtest_test_ptr, flag_name, CLR)
+
+/**
+ *  Evaluate to true if the #JTEST_TEST_t is enabled.
+ */
+#define JTEST_TEST_IS_ENABLED(jtest_test_ptr)                           \
+    (JTEST_TEST_FLAG(jtest_test_ptr, enabled) == JTEST_TEST_FLAG_SET)
+
+#endif /* _JTEST_TEST_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_test_call.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_test_call.h
new file mode 100644
index 0000000..9325185
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_test_call.h
@@ -0,0 +1,121 @@
+#ifndef _JTEST_TEST_CALL_H_
+#define _JTEST_TEST_CALL_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+#include "jtest_test.h"
+#include "jtest_test_define.h"
+#include "jtest_fw.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Exectute the test in the #JTEST_TEST_t struct associated with the identifier
+ *  test_fn and store the result in retval.
+ */
+#define JTEST_TEST_RUN(retval, test_fn)                                 \
+    do                                                                  \
+    {                                                                   \
+        JTEST_DUMP_STR("Test Name:\n");                                 \
+        JTEST_DUMP_STR(JTEST_TEST_STRUCT_NAME(test_fn).test_fn_str);    \
+        JTEST_DUMP_STR("Function Under Test:\n");                       \
+        JTEST_DUMP_STR(JTEST_TEST_STRUCT_NAME(test_fn).fut_str);        \
+        retval = JTEST_TEST_STRUCT_NAME(test_fn).test_fn_ptr();         \
+    } while (0)
+
+/**
+ *  Update the enclosing #JTEST_GROUP_t's pass/fail information based on
+ *  test_retval.
+ *
+ *  @param test_retval A #JTEST_TEST_RET_enum for the current test.
+ *
+ *  @warning Only use if #JTEST_TEST_t is called in the context of a
+ *  #JTEST_GROUP_t.
+ */
+#define JTEST_TEST_UPDATE_PARENT_GROUP_PF(test_retval)              \
+    do                                                              \
+    {                                                               \
+        /* Update enclosing JTEST_GROUP_t with pass/fail info */    \
+        if (test_retval == JTEST_TEST_PASSED)                       \
+        {                                                           \
+            JTEST_GROUP_INC_PASSED(JTEST_CURRENT_GROUP_PTR(), 1);   \
+        } else {                                                    \
+            JTEST_GROUP_INC_FAILED(JTEST_CURRENT_GROUP_PTR(), 1);   \
+        }                                                           \
+    } while (0)
+
+/**
+ *  Update the #JTEST_FW with pass/fail information based on test_retval.
+ *
+ *  @param test_retval A #JTEST_TEST_RET_enum for the current test.
+ */
+#define JTEST_TEST_UPDATE_FW_PF(test_retval)                        \
+    do                                                              \
+    {                                                               \
+        /* Update the JTEST_FW with pass/fail info */                \
+        if (test_retval == JTEST_TEST_PASSED)                       \
+        {                                                           \
+            JTEST_FW_INC_PASSED( 1);                                \
+        } else {                                                    \
+            JTEST_FW_INC_FAILED(1);                                 \
+        }                                                           \
+    } while (0)
+
+/**
+ *  Update the enclosing JTEST_GROUP_t's pass/fail information, or the
+ *  #JTEST_FW's if this test has no enclosing #JTEST_GROUP_t.
+ *
+ *  @param test_retval A #JTEST_TEST_RET_enum for the current test.
+ */
+#define JTEST_TEST_UPDATE_PARENT_GROUP_OR_FW_PF(test_retval)            \
+    do                                                                  \
+    {                                                                   \
+        /* Update pass-fail information */                              \
+        if (JTEST_CURRENT_GROUP_PTR() /* Non-null */)                    \
+        {                                                               \
+            JTEST_TEST_UPDATE_PARENT_GROUP_PF(test_retval);             \
+        } else {                                                        \
+            JTEST_TEST_UPDATE_FW_PF(test_retval);                       \
+        }                                                               \
+    } while (0)
+
+/**
+ *  Dump the results of the test to the Keil Debugger.
+ */
+#define JTEST_TEST_DUMP_RESULTS(test_retval)        \
+        do                                          \
+        {                                           \
+            if (test_retval == JTEST_TEST_PASSED)   \
+            {                                       \
+                JTEST_DUMP_STR("Test Passed\n");      \
+            } else {                                \
+                JTEST_DUMP_STR("Test Failed\n");      \
+            }                                       \
+        } while (0)
+
+/**
+ *  Call the #JTEST_TEST_t assocaited with the identifier test_fn.
+ */
+#define JTEST_TEST_CALL(test_fn)                                        \
+    do                                                                  \
+    {                                                                   \
+        if (JTEST_TEST_IS_ENABLED(&JTEST_TEST_STRUCT_NAME(test_fn)))    \
+        {                                                               \
+            /* Default to failure */                                    \
+            JTEST_TEST_RET_t __jtest_test_ret = JTEST_TEST_FAILED;      \
+                                                                        \
+            JTEST_ACT_TEST_START();                                     \
+            JTEST_TEST_RUN(__jtest_test_ret, test_fn);                  \
+                                                                        \
+            /* Update pass-fail information */                          \
+            JTEST_TEST_UPDATE_PARENT_GROUP_OR_FW_PF(__jtest_test_ret);  \
+                                                                        \
+            JTEST_TEST_DUMP_RESULTS(__jtest_test_ret);                  \
+            JTEST_ACT_TEST_END();                                       \
+        }                                                               \
+    } while (0)
+
+#endif /* _JTEST_TEST_CALL_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_test_define.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_test_define.h
new file mode 100644
index 0000000..1447dd0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_test_define.h
@@ -0,0 +1,133 @@
+#ifndef _JTEST_TEST_DEFINE_H_
+#define _JTEST_TEST_DEFINE_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "jtest_util.h"
+#include "jtest_define.h"
+#include "jtest_test.h"
+
+/* For defining macros with optional arguments */
+#include "opt_arg/opt_arg.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Prefix for all #JTEST_TEST_t structs.
+ */
+#define JTEST_TEST_STRUCT_NAME_PREFIX G_JTEST_TEST_STRUCT_
+
+/**
+ *  Define test template used by #JTEST_TEST_t tests.
+ */
+#define JTEST_TEST_FN_TEMPLATE(test_fn)                         \
+    JTEST_TEST_RET_t test_fn(void)
+
+#define JTEST_TEST_FN_PROTOTYPE JTEST_TEST_FN_TEMPLATE /**< Alias for
+                                                        * #JTEST_TEST_FN_TEMPLATE. */
+
+/**
+ *  Evaluate to the name of the #JTEST_TEST_t struct associated with test_fn.
+ */
+#define JTEST_TEST_STRUCT_NAME(test_fn)                         \
+    JTEST_STRUCT_NAME(JTEST_TEST_STRUCT_NAME_PREFIX, test_fn)
+
+/**
+ *  Define a #JTEST_TEST_t struct based on the given test_fn.
+ */
+#define JTEST_TEST_DEFINE_STRUCT(test_fn)                   \
+    JTEST_DEFINE_STRUCT(JTEST_TEST_t,                       \
+                        JTEST_TEST_STRUCT_NAME(test_fn))
+
+/**
+ *  Declare a #JTEST_TEST_t struct based on the given test_fn.
+ */
+#define JTEST_TEST_DECLARE_STRUCT(test_fn)      \
+    JTEST_DECLARE_STRUCT(JTEST_TEST_DEFINE_STRUCT(test_fn))
+
+/**
+ *  Contents needed to initialize a JTEST_TEST_t struct.
+ */
+#define JTEST_TEST_STRUCT_INIT(test_fn, fut, enable)    \
+    test_fn,                                            \
+        STR_NL(test_fn),                                   \
+        STR_NL(fut),                                       \
+    {                                                   \
+        {                                               \
+            enable,                                     \
+                0                                       \
+        }                                               \
+    }                                                   \
+        
+
+/**
+ *  Initialize the contents of a #JTEST_TEST_t struct.
+ */
+#define JTEST_TEST_INIT(test_fn, fut, enable)              \
+    JTEST_TEST_DEFINE_STRUCT(test_fn) = {                  \
+        JTEST_TEST_STRUCT_INIT(test_fn, fut, enable)       \
+    }
+
+/* Test Definition Macro */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Define a #JTEST_TEST_t object and a test function.
+ */
+#define _JTEST_DEFINE_TEST(test_fn, fut, enable)           \
+    JTEST_TEST_FN_PROTOTYPE(test_fn);                      \
+    JTEST_TEST_INIT(test_fn, fut, enable);                 \
+    JTEST_TEST_FN_PROTOTYPE(test_fn) /* Notice the lacking semicolon */
+
+/**
+ *  Declare a #JTEST_TEST_t object and a test function prototype.
+ */
+#define JTEST_DECLARE_TEST(test_fn)                                     \
+    JTEST_TEST_FN_PROTOTYPE(test_fn);                                   \
+    JTEST_TEST_DECLARE_STRUCT(test_fn) /* Note the lacking semicolon */
+
+/*--------------------------------------------------------------------------------*/
+/* Macros with optional arguments */
+/*--------------------------------------------------------------------------------*/
+
+/* Top-level Interface */
+#define JTEST_DEFINE_TEST(...)                             \
+    JTEST_DEFINE_TEST_(PP_NARG(__VA_ARGS__), ##__VA_ARGS__)
+
+/* Dispatch Macro*/
+#define JTEST_DEFINE_TEST_(N, ...)                         \
+    SPLICE(JTEST_DEFINE_TEST_, N)(__VA_ARGS__)
+
+/* Default Arguments */
+#define JTEST_DEFINE_TEST_DEFAULT_FUT /* Blank */
+#define JTEST_DEFINE_TEST_DEFAULT_ENABLE                   \
+    JTEST_TRUE                                 /* Tests enabled by
+                                                * default. */ 
+
+/* Dispatch Cases*/
+#define JTEST_DEFINE_TEST_1(_1)                            \
+    _JTEST_DEFINE_TEST(                                    \
+        _1,                                                \
+        JTEST_DEFINE_TEST_DEFAULT_FUT,                     \
+        JTEST_DEFINE_TEST_DEFAULT_ENABLE                   \
+        )
+
+#define JTEST_DEFINE_TEST_2(_1, _2)                        \
+    _JTEST_DEFINE_TEST(                                    \
+        _1,                                                \
+        _2,                                                \
+        JTEST_DEFINE_TEST_DEFAULT_ENABLE                   \
+        )
+
+#define JTEST_DEFINE_TEST_3(_1, _2, _3)                    \
+    _JTEST_DEFINE_TEST(                                    \
+        _1,                                                \
+        _2,                                                \
+        _3                                                 \
+        )
+
+#endif /* _JTEST_TEST_DEFINE_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_test_ret.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_test_ret.h
new file mode 100644
index 0000000..c3176e5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_test_ret.h
@@ -0,0 +1,17 @@
+#ifndef _JTEST_TEST_RET_H_
+#define _JTEST_TEST_RET_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Type Definitions */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Values a #JTEST_TEST_t can return.
+ */
+typedef enum JTEST_TEST_RET_enum
+{
+    JTEST_TEST_PASSED,
+    JTEST_TEST_FAILED
+} JTEST_TEST_RET_t;
+
+#endif /* _JTEST_TEST_RET_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_util.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_util.h
new file mode 100644
index 0000000..3e07d2e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/jtest_util.h
@@ -0,0 +1,27 @@
+#ifndef _JTEST_UTIL_H_
+#define _JTEST_UTIL_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "util/util.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/* Define boolean values for the framework. */
+#define JTEST_TRUE  1           /**< Value used for TRUE in JTEST. */
+#define JTEST_FALSE 0           /**< Value used for FALSE in JTEST. */
+
+/**
+ *  Set the value of the attribute in the struct to by struct_ptr to value.
+ */
+#define JTEST_SET_STRUCT_ATTRIBUTE(struct_ptr, attribute, value)    \
+    do                                                              \
+    {                                                               \
+        (struct_ptr)->attribute = (value);                          \
+    } while (0)
+
+#endif /* _JTEST_UTIL_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/opt_arg/opt_arg.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/opt_arg/opt_arg.h
new file mode 100644
index 0000000..683be1d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/opt_arg/opt_arg.h
@@ -0,0 +1,15 @@
+#ifndef _OPT_ARG_H_
+#define _OPT_ARG_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "pp_narg.h"
+#include "splice.h"
+
+/* If you are Joseph Jaoudi, you have a snippet which expands into an
+   example. If you are not Joseph, but possess his code, study the examples. If
+   you have no examples, turn back contact Joseph. */
+
+#endif /* _OPT_ARG_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/opt_arg/pp_narg.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/opt_arg/pp_narg.h
new file mode 100644
index 0000000..d3248f4
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/opt_arg/pp_narg.h
@@ -0,0 +1,25 @@
+#ifndef _PP_NARG_H_
+#define _PP_NARG_H_
+
+#define PP_NARG(...)                                      \
+    PP_NARG_(__VA_ARGS__,PP_RSEQ_N())
+#define PP_NARG_(...)                                     \
+    PP_ARG_N(__VA_ARGS__)
+#define PP_ARG_N(                                         \
+                 _1, _2, _3, _4, _5, _6, _7, _8, _9,_10,  \
+                 _11,_12,_13,_14,_15,_16,_17,_18,_19,_20, \
+                 _21,_22,_23,_24,_25,_26,_27,_28,_29,_30, \
+                 _31,_32,_33,_34,_35,_36,_37,_38,_39,_40, \
+                 _41,_42,_43,_44,_45,_46,_47,_48,_49,_50, \
+                 _51,_52,_53,_54,_55,_56,_57,_58,_59,_60, \
+                 _61,_62,_63,N,...) N
+#define PP_RSEQ_N()                                       \
+    63,62,61,60,                                          \
+        59,58,57,56,55,54,53,52,51,50,                    \
+        49,48,47,46,45,44,43,42,41,40,                    \
+        39,38,37,36,35,34,33,32,31,30,                    \
+        29,28,27,26,25,24,23,22,21,20,                    \
+        19,18,17,16,15,14,13,12,11,10,                    \
+        9,8,7,6,5,4,3,2,1,0
+
+#endif /* _PP_NARG_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/opt_arg/splice.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/opt_arg/splice.h
new file mode 100644
index 0000000..ec9142b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/opt_arg/splice.h
@@ -0,0 +1,8 @@
+#ifndef _SPLICE_H_
+#define _SPLICE_H_
+
+#define SPLICE(a,b) SPLICE_1(a,b)
+#define SPLICE_1(a,b) SPLICE_2(a,b)
+#define SPLICE_2(a,b) a##b
+
+#endif /* _SPLICE_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/util/util.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/util/util.h
new file mode 100644
index 0000000..f56e0e6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/inc/util/util.h
@@ -0,0 +1,52 @@
+#ifndef _UTIL_H_
+#define _UTIL_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Convert a symbol to a string and add a 'NewLine'.
+ */
+#define STR_NL(x)  STR1_NL(x)
+#define STR1_NL(x) (STR2_NL(x)"\n")
+#define STR2_NL(x) #x
+
+/**
+ *  Convert a symbol to a string.
+ */
+#define STR(x)  STR1(x)
+#define STR1(x) STR2(x)
+#define STR2(x) #x
+
+/**
+ *  Concatenate two symbols.
+ */
+#define CONCAT(a, b)  CONCAT1(a, b)
+#define CONCAT1(a, b) CONCAT2(a, b)
+#define CONCAT2(a, b) a##b
+
+
+/**
+ *  Place curly braces around a varaible number of macro arguments.
+ */
+#define CURLY(...) {__VA_ARGS__}
+
+/**
+ *  Place parenthesis around a variable number of macro arguments.
+ */
+#define PAREN(...) (__VA_ARGS__)
+
+/* Standard min/max macros. */
+#define MIN(x,y) (((x) < (y)) ? (x) : (y) )
+#define MAX(x,y) (((x) > (y)) ? (x) : (y) )
+
+/**
+ *  Bound value using low and high limits.
+ *
+ *  Evaluate to a number in the range, endpoint inclusive.
+ */
+#define BOUND(low, high, value)                 \
+    MAX(MIN(high, value), low)
+
+#endif /* _UTIL_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/src/jtest_cycle.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/src/jtest_cycle.c
new file mode 100644
index 0000000..24d552d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/src/jtest_cycle.c
@@ -0,0 +1,9 @@
+#include "../inc/jtest_cycle.h"
+#include <inttypes.h>
+
+/*--------------------------------------------------------------------------------*/
+/* Define Module Variables */
+/*--------------------------------------------------------------------------------*/
+
+/* const char * JTEST_CYCLE_STRF = "Running: %s\nCycles: %" PRIu32 "\n"; */
+const char * JTEST_CYCLE_STRF = "Cycles: %" PRIu32 "\n"; /* function name + parameter string skipped */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/src/jtest_dump_str_segments.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/src/jtest_dump_str_segments.c
new file mode 100644
index 0000000..c3a9bf8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/src/jtest_dump_str_segments.c
@@ -0,0 +1,36 @@
+#include "jtest_fw.h"
+
+/**
+ *  Dump the JTEST_FW.str_buffer the Keil framework in pieces.
+ *
+ *  The JTEST_FW.str_buffer contains more characters than the Keil framework can
+ *  dump at once. This function dumps them in blocks.
+ */
+void jtest_dump_str_segments(void)
+{
+    uint32_t seg_idx      = 0;
+    uint32_t memmove_idx = 0;
+    uint32_t seg_cnt  =
+        (strlen(JTEST_FW.str_buffer) / JTEST_STR_MAX_OUTPUT_SIZE) + 1;
+
+    for( seg_idx = 0; seg_idx < seg_cnt; ++seg_idx)
+    {
+        JTEST_TRIGGER_ACTION(dump_str);
+
+        if (seg_idx < JTEST_STR_MAX_OUTPUT_SEGMENTS)
+        {
+            memmove_idx = 0;
+            while (memmove_idx < (seg_cnt - seg_idx -1) )
+            {
+                memmove(
+                    JTEST_FW.str_buffer+
+                    (memmove_idx* JTEST_STR_MAX_OUTPUT_SIZE),
+                    JTEST_FW.str_buffer+
+                    ((memmove_idx+1)*JTEST_STR_MAX_OUTPUT_SIZE),
+                    JTEST_BUF_SIZE);
+                ++memmove_idx;
+            }
+        }
+    }
+    return;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/src/jtest_fw.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/src/jtest_fw.c
new file mode 100644
index 0000000..69d7a63
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/src/jtest_fw.c
@@ -0,0 +1,9 @@
+#include "../inc/jtest.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Define Global Variables */
+/*--------------------------------------------------------------------------------*/
+
+char JTEST_FW_STR_BUFFER[JTEST_BUF_SIZE] = {0};
+
+volatile JTEST_FW_t JTEST_FW = {0};
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/src/jtest_trigger_action.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/src/jtest_trigger_action.c
new file mode 100644
index 0000000..a3901da
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/JTest/src/jtest_trigger_action.c
@@ -0,0 +1,37 @@
+
+#include "jtest_fw.h"
+
+void test_start    (void) {
+//  ;
+  JTEST_FW.test_start++;
+}
+
+void test_end      (void) {
+//  ;
+  JTEST_FW.test_end++;
+}
+
+void group_start   (void) {
+//  ;
+  JTEST_FW.group_start++;
+}
+
+void group_end     (void) {
+//  ;
+  JTEST_FW.group_end++;
+}
+
+void dump_str      (void) {
+//  ;
+  JTEST_FW.dump_str++;
+}
+
+void dump_data     (void) {
+//  ;
+  JTEST_FW.dump_data++;
+}
+
+void exit_fw       (void) {
+//  ;
+  JTEST_FW.exit_fw++;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/all_tests.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/all_tests.h
new file mode 100644
index 0000000..df1e998
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/all_tests.h
@@ -0,0 +1,9 @@
+#ifndef _ALL_TESTS_H_
+#define _ALL_TESTS_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Test Groups */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(all_tests);
+
+#endif /* _ALL_TESTS_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/basic_math_tests/basic_math_templates.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/basic_math_tests/basic_math_templates.h
new file mode 100644
index 0000000..958ef78
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/basic_math_tests/basic_math_templates.h
@@ -0,0 +1,267 @@
+#ifndef _BASIC_MATH_TEMPLATES_H_
+#define _BASIC_MATH_TEMPLATES_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+#include "test_templates.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Group Specific Templates */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Compare the outputs used by basic math tests for the function under test and
+ *  the reference function.
+ */
+#define BASIC_MATH_COMPARE_INTERFACE(block_size, output_type)   \
+    TEST_ASSERT_BUFFERS_EQUAL(                                  \
+        basic_math_output_ref.data_ptr,                         \
+        basic_math_output_fut.data_ptr,                         \
+        block_size * sizeof(output_type))
+
+/*
+ * Comparison SNR thresholds for the data types used in basic_math_tests.
+ */
+#define BASIC_MATH_SNR_THRESHOLD_float32_t 120
+#define BASIC_MATH_SNR_THRESHOLD_q31_t 100
+#define BASIC_MATH_SNR_THRESHOLD_q15_t 75
+#define BASIC_MATH_SNR_THRESHOLD_q7_t 25
+
+/**
+ *  Compare reference and fut outputs using SNR.
+ *
+ *  @note The outputs are converted to float32_t before comparison.
+ */
+#define BASIC_MATH_SNR_COMPARE_INTERFACE(block_size, output_type)   \
+    do                                                              \
+    {                                                               \
+        TEST_CONVERT_AND_ASSERT_SNR(                                \
+            basic_math_output_f32_ref,                              \
+            basic_math_output_ref.data_ptr,                         \
+            basic_math_output_f32_fut,                              \
+            basic_math_output_fut.data_ptr,                         \
+            block_size,                                             \
+            output_type,                                            \
+            BASIC_MATH_SNR_THRESHOLD_##output_type                  \
+            );                                                      \
+    } while (0)
+
+
+/**
+ *  Compare reference and fut outputs using SNR.
+ *
+ *  @note The outputs are converted to float32_t before comparison.
+ */
+#define BASIC_MATH_SNR_ELT1_COMPARE_INTERFACE(block_size, output_type)  \
+    do                                                                  \
+    {                                                                   \
+        TEST_CONVERT_AND_ASSERT_SNR(                                    \
+            basic_math_output_f32_ref,                                  \
+            basic_math_output_ref.data_ptr,                             \
+            basic_math_output_f32_fut,                                  \
+            basic_math_output_fut.data_ptr,                             \
+            1,                                                          \
+            output_type,                                                \
+            BASIC_MATH_SNR_THRESHOLD_##output_type                      \
+            );                                                          \
+    } while (0)
+
+
+
+/*--------------------------------------------------------------------------------*/
+/* Input Interfaces */
+/*--------------------------------------------------------------------------------*/
+/*
+ *  General:
+ *  Input interfaces provide inputs to functions inside test templates.  They
+ *  ONLY provide the inputs.  The output variables should be hard coded.
+ *
+ *  The input interfaces must have the following format:
+ *
+ *  ARM_xxx_INPUT_INTERFACE() or
+ *  REF_xxx_INPUT_INTERFACE()
+ *
+ *  The xxx must be lowercase, and is intended to be the indentifying substring
+ *  in the function's name.  Acceptable values are 'sub' or 'add' from the
+ *  functions arm_add_q31.
+ */
+
+#define ARM_abs_INPUT_INTERFACE(input, block_size)              \
+    PAREN(input, basic_math_output_fut.data_ptr, block_size)
+
+#define REF_abs_INPUT_INTERFACE(input, block_size)              \
+    PAREN(input, basic_math_output_ref.data_ptr, block_size)
+
+#define ARM_add_INPUT_INTERFACE(input_a, input_b, block_size)           \
+    PAREN(input_a, input_b, basic_math_output_fut.data_ptr, block_size) \
+
+#define REF_add_INPUT_INTERFACE(input_a, input_b, block_size)           \
+    PAREN(input_a, input_b, basic_math_output_ref.data_ptr, block_size) \
+
+#define ARM_dot_prod_INPUT_INTERFACE(input_a, input_b, block_size)      \
+    PAREN(input_a, input_b, block_size, basic_math_output_fut.data_ptr) \
+
+#define REF_dot_prod_INPUT_INTERFACE(input_a, input_b, block_size)      \
+    PAREN(input_a, input_b, block_size, basic_math_output_ref.data_ptr) \
+
+#define ARM_mult_INPUT_INTERFACE(input_a, input_b, block_size)          \
+    PAREN(input_a, input_b, basic_math_output_fut.data_ptr, block_size) \
+
+#define REF_mult_INPUT_INTERFACE(input_a, input_b, block_size)          \
+    PAREN(input_a, input_b, basic_math_output_ref.data_ptr, block_size) \
+
+#define ARM_negate_INPUT_INTERFACE(input, block_size)           \
+    PAREN(input, basic_math_output_fut.data_ptr, block_size)
+
+#define REF_negate_INPUT_INTERFACE(input, block_size)           \
+    PAREN(input, basic_math_output_ref.data_ptr, block_size)
+
+#define ARM_offset_INPUT_INTERFACE(input, elt, block_size)          \
+    PAREN(input, elt, basic_math_output_fut.data_ptr, block_size)   \
+
+#define REF_offset_INPUT_INTERFACE(input, elt, block_size)          \
+    PAREN(input, elt, basic_math_output_ref.data_ptr, block_size)   \
+
+#define ARM_shift_INPUT_INTERFACE(input, elt, block_size)           \
+    PAREN(input, elt, basic_math_output_fut.data_ptr, block_size)   \
+
+#define REF_shift_INPUT_INTERFACE(input, elt, block_size)           \
+    PAREN(input, elt, basic_math_output_ref.data_ptr, block_size)   \
+
+#define ARM_scale_float_INPUT_INTERFACE(input, elt, block_size)     \
+    PAREN(input, elt, basic_math_output_fut.data_ptr, block_size)   \
+
+#define REF_scale_float_INPUT_INTERFACE(input, elt, block_size)     \
+    PAREN(input, elt, basic_math_output_ref.data_ptr, block_size)   \
+
+/* These two are for the fixed point functions */
+#define ARM_scale_INPUT_INTERFACE(input, elt1, elt2, block_size)        \
+    PAREN(input, elt1, elt2, basic_math_output_fut.data_ptr, block_size) \
+
+#define REF_scale_INPUT_INTERFACE(input, elt1, elt2, block_size)        \
+    PAREN(input, elt1, elt2, basic_math_output_ref.data_ptr, block_size) \
+
+#define ARM_sub_INPUT_INTERFACE(input_a, input_b, block_size)           \
+    PAREN(input_a, input_b, basic_math_output_fut.data_ptr, block_size) \
+
+#define REF_sub_INPUT_INTERFACE(input_a, input_b, block_size)           \
+    PAREN(input_a, input_b, basic_math_output_ref.data_ptr, block_size) \
+
+
+/*--------------------------------------------------------------------------------*/
+/* Test Templates */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Specialization of #TEST_TEMPLATE_BUF1_BLK() for basic math tests.
+ *
+ *  @note This macro relies on the existance of ARM_xxx_INPUT_INTERFACE and
+ *  REF_xxx_INPUT_INTERFACEs.
+ */
+#define BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF1_BLK(fn_name,       \
+                                                 suffix,        \
+                                                 input_type,    \
+                                                 output_type)   \
+    JTEST_DEFINE_TEST(arm_##fn_name##_##suffix##_test,          \
+                      arm_##fn_name##_##suffix)                 \
+    {                                                           \
+        TEST_TEMPLATE_BUF1_BLK(                                 \
+            basic_math_f_all,                                   \
+            basic_math_block_sizes,                             \
+            input_type,                                         \
+            output_type,                                        \
+            arm_##fn_name##_##suffix,                           \
+            ARM_##fn_name##_INPUT_INTERFACE,                    \
+            ref_##fn_name##_##suffix,                           \
+            REF_##fn_name##_INPUT_INTERFACE,                    \
+            BASIC_MATH_COMPARE_INTERFACE);                      \
+    }
+
+/**
+ *  Specialization of #TEST_TEMPLATE_BUF2_BLK() for basic math tests.
+ *
+ *  @note This macro relies on the existance of ARM_xxx_INPUT_INTERFACE and
+ *  REF_xxx_INPUT_INTERFACEs.
+ */
+#define BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF2_BLK(fn_name,               \
+                                                 suffix,                \
+                                                 input_type,            \
+                                                 output_type,           \
+                                                 comparison_interface)  \
+    JTEST_DEFINE_TEST(arm_##fn_name##_##suffix##_test,                  \
+                      arm_##fn_name##_##suffix)                         \
+    {                                                                   \
+        TEST_TEMPLATE_BUF2_BLK(                                         \
+            basic_math_f_all,                                           \
+            basic_math_f_all,                                           \
+            basic_math_block_sizes,                                     \
+            input_type,                                                 \
+            output_type,                                                \
+            arm_##fn_name##_##suffix,                                   \
+            ARM_##fn_name##_INPUT_INTERFACE,                            \
+            ref_##fn_name##_##suffix,                                   \
+            REF_##fn_name##_INPUT_INTERFACE,                            \
+            comparison_interface);                                      \
+    }
+
+/**
+ *  Specialization of #TEST_TEMPLATE_BUF1_ELT1_BLK() for basic math tests.
+ *
+ *  @note This macro relies on the existance of ARM_xxx_INPUT_INTERFACE and
+ *  REF_xxx_INPUT_INTERFACEs.
+ */
+#define BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF1_ELT1_BLK(fn_name,      \
+                                                      suffix,       \
+                                                      input_type,   \
+                                                      elt_type,     \
+                                                      output_type)  \
+    JTEST_DEFINE_TEST(arm_##fn_name##_##suffix##_test,              \
+                      arm_##fn_name##_##suffix)                     \
+    {                                                               \
+        TEST_TEMPLATE_BUF1_ELT1_BLK(                                \
+            basic_math_f_all,                                       \
+            basic_math_elts,                                        \
+            basic_math_block_sizes,                                 \
+            input_type,                                             \
+            elt_type,                                               \
+            output_type,                                            \
+            arm_##fn_name##_##suffix,                               \
+            ARM_##fn_name##_INPUT_INTERFACE,                        \
+            ref_##fn_name##_##suffix,                               \
+            REF_##fn_name##_INPUT_INTERFACE,                        \
+            BASIC_MATH_COMPARE_INTERFACE);                          \
+    }
+
+/**
+ *  Specialization of #TEST_TEMPLATE_BUF1_ELT2_BLK() for basic math tests.
+ *
+ *  @note This macro relies on the existance of ARM_xxx_INPUT_INTERFACE and
+ *  REF_xxx_INPUT_INTERFACEs.
+ */
+#define BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF1_ELT2_BLK(fn_name,      \
+                                                      suffix,       \
+                                                      input_type,   \
+                                                      elt1_type,    \
+                                                      elt2_type,    \
+                                                      output_type)  \
+    JTEST_DEFINE_TEST(arm_##fn_name##_##suffix##_test,              \
+                      arm_##fn_name##_##suffix)                     \
+    {                                                               \
+        TEST_TEMPLATE_BUF1_ELT2_BLK(                                \
+            basic_math_f_all,                                       \
+            basic_math_elts,                                        \
+            basic_math_elts2,                                       \
+            basic_math_block_sizes,                                 \
+            input_type,                                             \
+            elt1_type,                                              \
+            elt2_type,                                              \
+            output_type,                                            \
+            arm_##fn_name##_##suffix,                               \
+            ARM_##fn_name##_INPUT_INTERFACE,                        \
+            ref_##fn_name##_##suffix,                               \
+            REF_##fn_name##_INPUT_INTERFACE,                        \
+            BASIC_MATH_COMPARE_INTERFACE);                          \
+    }
+
+#endif /* _BASIC_MATH_TEMPLATES_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/basic_math_tests/basic_math_test_data.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/basic_math_tests/basic_math_test_data.h
new file mode 100644
index 0000000..2f0b239
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/basic_math_tests/basic_math_test_data.h
@@ -0,0 +1,46 @@
+#ifndef ARM_BASIC_MATH_TEST_DATA_H
+#define ARM_BASIC_MATH_TEST_DATA_H
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "arr_desc.h"
+#include "arm_math.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+#define BASIC_MATH_MAX_INPUT_ELEMENTS 32
+#define BASIC_MATH_BIGGEST_INPUT_TYPE float32_t
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Variables */
+/*--------------------------------------------------------------------------------*/
+
+/* Input/Output Buffers */
+ARR_DESC_DECLARE(basic_math_output_fut);
+ARR_DESC_DECLARE(basic_math_output_ref);
+
+extern BASIC_MATH_BIGGEST_INPUT_TYPE
+basic_math_output_f32_ref[BASIC_MATH_MAX_INPUT_ELEMENTS];
+
+extern BASIC_MATH_BIGGEST_INPUT_TYPE
+basic_math_output_f32_fut[BASIC_MATH_MAX_INPUT_ELEMENTS];
+
+/* Block Sizes*/
+ARR_DESC_DECLARE(basic_math_block_sizes);
+
+/* Numbers */
+ARR_DESC_DECLARE(basic_math_elts);
+ARR_DESC_DECLARE(basic_math_elts2);
+ARR_DESC_DECLARE(basic_math_eltsf);
+
+/* Float Inputs */
+ARR_DESC_DECLARE(basic_math_zeros);
+ARR_DESC_DECLARE(basic_math_f_2);
+ARR_DESC_DECLARE(basic_math_f_15);
+ARR_DESC_DECLARE(basic_math_f_32);
+ARR_DESC_DECLARE(basic_math_f_all);
+
+#endif
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/basic_math_tests/basic_math_test_group.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/basic_math_tests/basic_math_test_group.h
new file mode 100644
index 0000000..ece92c7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/basic_math_tests/basic_math_test_group.h
@@ -0,0 +1,9 @@
+#ifndef _BASIC_MATH_TEST_GROUP_H_
+#define _BASIC_MATH_TEST_GROUP_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Test Groups */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(basic_math_tests);
+
+#endif /* _BASIC_MATH_TEST_GROUP_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/basic_math_tests/basic_math_tests.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/basic_math_tests/basic_math_tests.h
new file mode 100644
index 0000000..0550444
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/basic_math_tests/basic_math_tests.h
@@ -0,0 +1,17 @@
+#ifndef _BASIC_MATH_TESTS_H_
+#define _BASIC_MATH_TESTS_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Test/Group Declarations */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(abs_tests);
+JTEST_DECLARE_GROUP(add_tests);
+JTEST_DECLARE_GROUP(dot_prod_tests);
+JTEST_DECLARE_GROUP(mult_tests);
+JTEST_DECLARE_GROUP(negate_tests);
+JTEST_DECLARE_GROUP(offset_tests);
+JTEST_DECLARE_GROUP(scale_tests);
+JTEST_DECLARE_GROUP(shift_tests);
+JTEST_DECLARE_GROUP(sub_tests);
+
+#endif /* _BASIC_MATH_TESTS_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/complex_math_tests/complex_math_templates.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/complex_math_tests/complex_math_templates.h
new file mode 100644
index 0000000..3b7f22f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/complex_math_tests/complex_math_templates.h
@@ -0,0 +1,222 @@
+#ifndef _COMPLEX_MATH_TEMPLATES_H_
+#define _COMPLEX_MATH_TEMPLATES_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+#include "test_templates.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Group Specific Templates */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Compare the real outputs from the function under test and the reference
+ *  function.
+ */
+#define COMPLEX_MATH_COMPARE_RE_INTERFACE(block_size, output_type)  \
+    TEST_ASSERT_BUFFERS_EQUAL(                                      \
+        complex_math_output_ref_a.data_ptr,                         \
+        complex_math_output_fut_a.data_ptr,                         \
+        block_size * sizeof(output_type))
+
+/**
+ *  Compare the real and imaginary outputs from the function under test and the
+ *  reference function.
+ */
+#define COMPLEX_MATH_COMPARE_CMPLX_INTERFACE(block_size, output_type)   \
+    do                                                                  \
+    {                                                                   \
+        COMPLEX_MATH_COMPARE_RE_INTERFACE(block_size * 2, output_type); \
+    } while (0)
+
+
+/*
+ * Comparison SNR thresholds for the data types used in complex_math_tests.
+ */
+#define COMPLEX_MATH_SNR_THRESHOLD_float32_t 120
+#define COMPLEX_MATH_SNR_THRESHOLD_q31_t 100
+#define COMPLEX_MATH_SNR_THRESHOLD_q15_t 75
+
+/**
+ *  Compare reference and fut outputs using SNR.
+ *
+ *  The output_suffix specifies which output buffers to use for the
+ *  comparison. An output_suffix of 'a' expands to the following buffers:
+ *
+ *  - complex_math_output_f32_ref_a
+ *  - complex_math_output_f32_fut_a
+ *  - complex_math_output_ref_a
+ *  - complex_math_output_fut_a
+ *
+ *  @note The outputs are converted to float32_t before comparison.
+ */
+#define COMPLEX_MATH_SNR_COMPARE_OUT_INTERFACE(block_size,      \
+                                               output_type,     \
+                                               output_suffix)   \
+    do                                                          \
+    {                                                           \
+        TEST_CONVERT_AND_ASSERT_SNR(                            \
+            complex_math_output_f32_ref_##output_suffix,        \
+            complex_math_output_ref_##output_suffix.data_ptr,   \
+            complex_math_output_f32_fut_##output_suffix,        \
+            complex_math_output_fut_##output_suffix.data_ptr,   \
+            block_size,                                         \
+            output_type,                                        \
+            COMPLEX_MATH_SNR_THRESHOLD_##output_type            \
+            );                                                  \
+    } while (0)
+
+/**
+ *  Specification of #COMPLEX_MATH_SNR_COMPARE_INTERFACE() for real outputs.
+ */
+#define COMPLEX_MATH_SNR_COMPARE_RE_INTERFACE(block_size,       \
+                                                   output_type) \
+    COMPLEX_MATH_SNR_COMPARE_OUT_INTERFACE(block_size,          \
+                                           output_type,         \
+                                           a)
+
+/**
+ *  Specification of #COMPLEX_MATH_SNR_COMPARE_INTERFACE() for complex outputs.
+ */
+#define COMPLEX_MATH_SNR_COMPARE_CMPLX_INTERFACE(block_size,    \
+                                                 output_type)   \
+        COMPLEX_MATH_SNR_COMPARE_OUT_INTERFACE(block_size * 2,  \
+                                               output_type,     \
+                                               a)
+
+/**
+ *  Compare reference and fut split outputs using SNR.
+ *
+ *  'Split' refers to two separate output buffers; one for real and one for
+ *  complex.
+ */
+#define COMPLEX_MATH_SNR_COMPARE_SPLIT_INTERFACE(block_size,    \
+                                                 output_type)   \
+        do                                                      \
+        {                                                       \
+            COMPLEX_MATH_SNR_COMPARE_OUT_INTERFACE(block_size,  \
+                                                   output_type, \
+                                                   a);          \
+            COMPLEX_MATH_SNR_COMPARE_OUT_INTERFACE(block_size,  \
+                                                   output_type, \
+                                                   b);          \
+        } while (0)
+
+
+/*--------------------------------------------------------------------------------*/
+/* Input Interfaces */
+/*--------------------------------------------------------------------------------*/
+/*
+ *  General:
+ *  Input interfaces provide inputs to functions inside test templates.  They
+ *  ONLY provide the inputs.  The output variables should be hard coded.
+ *
+ *  The input interfaces must have the following format:
+ *
+ *  ARM_xxx_INPUT_INTERFACE() or
+ *  REF_xxx_INPUT_INTERFACE()
+ *
+ *  The xxx must be lowercase, and is intended to be the indentifying substring
+ *  in the function's name.  Acceptable values are 'sub' or 'add' from the
+ *  functions arm_add_q31.
+ */
+
+#define ARM_cmplx_conj_INPUT_INTERFACE(input, block_size)           \
+    PAREN(input, complex_math_output_fut_a.data_ptr, block_size)
+
+#define REF_cmplx_conj_INPUT_INTERFACE(input, block_size)           \
+    PAREN(input, complex_math_output_ref_a.data_ptr, block_size)
+
+#define ARM_cmplx_dot_prod_INPUT_INTERFACE(input_a, input_b, block_size) \
+    PAREN(input_a, input_b, block_size,                                 \
+          complex_math_output_fut_a.data_ptr,                          \
+          complex_math_output_fut_b.data_ptr)
+
+#define REF_cmplx_dot_prod_INPUT_INTERFACE(input_a, input_b, block_size) \
+    PAREN(input_a, input_b, block_size,                                 \
+          complex_math_output_ref_a.data_ptr,                          \
+          complex_math_output_ref_b.data_ptr)
+
+#define ARM_cmplx_mag_INPUT_INTERFACE(input, block_size)            \
+    PAREN(input, complex_math_output_fut_a.data_ptr, block_size)
+
+#define REF_cmplx_mag_INPUT_INTERFACE(input, block_size)            \
+    PAREN(input, complex_math_output_ref_a.data_ptr, block_size)
+
+#define ARM_cmplx_mag_squared_INPUT_INTERFACE(input, block_size)    \
+    PAREN(input, complex_math_output_fut_a.data_ptr, block_size)
+
+#define REF_cmplx_mag_squared_INPUT_INTERFACE(input, block_size)    \
+    PAREN(input, complex_math_output_ref_a.data_ptr, block_size)
+
+#define ARM_cmplx_mult_cmplx_INPUT_INTERFACE(input_a, input_b, block_size) \
+    PAREN(input_a, input_b, complex_math_output_fut_a.data_ptr, block_size)
+
+#define REF_cmplx_mult_cmplx_INPUT_INTERFACE(input_a, input_b, block_size) \
+    PAREN(input_a, input_b, complex_math_output_ref_a.data_ptr, block_size)
+
+#define ARM_cmplx_mult_real_INPUT_INTERFACE(input_a, input_b, block_size) \
+    PAREN(input_a, input_b, complex_math_output_fut_a.data_ptr, block_size)
+
+#define REF_cmplx_mult_real_INPUT_INTERFACE(input_a, input_b, block_size) \
+    PAREN(input_a, input_b, complex_math_output_ref_a.data_ptr, block_size)
+
+/*--------------------------------------------------------------------------------*/
+/* Test Templates */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Specialization of #TEST_TEMPLATE_BUF1_BLK() for complex math tests.
+ *
+ *  @note This macro relies on the existance of ARM_xxx_INPUT_INTERFACE and
+ *  REF_xxx_INPUT_INTERFACEs.
+ */
+#define COMPLEX_MATH_DEFINE_TEST_TEMPLATE_BUF1_BLK(fn_name,         \
+                                                   suffix,          \
+                                                   input_type,      \
+                                                   output_type,     \
+                                                   comparison_interface) \
+    JTEST_DEFINE_TEST(arm_##fn_name##_##suffix##_test,              \
+                      arm_##fn_name##_##suffix)                     \
+    {                                                               \
+        TEST_TEMPLATE_BUF1_BLK(                                     \
+            complex_math_f_all,                                     \
+            complex_math_block_sizes,                               \
+            input_type,                                             \
+            output_type,                                            \
+            arm_##fn_name##_##suffix,                               \
+            ARM_##fn_name##_INPUT_INTERFACE,                        \
+            ref_##fn_name##_##suffix,                               \
+            REF_##fn_name##_INPUT_INTERFACE,                        \
+            comparison_interface);                                  \
+    }
+
+/**
+ *  Specialization of #TEST_TEMPLATE_BUF2_BLK1() for complex math tests.
+ *
+ *  @note This macro relies on the existance of ARM_xxx_INPUT_INTERFACE and
+ *  REF_xxx_INPUT_INTERFACEs.
+ */
+#define COMPLEX_MATH_DEFINE_TEST_TEMPLATE_BUF2_BLK(fn_name,         \
+                                                   suffix,          \
+                                                   input_type,      \
+                                                   output_type,     \
+                                                   comparison_interface) \
+    JTEST_DEFINE_TEST(arm_##fn_name##_##suffix##_test,              \
+                      arm_##fn_name##_##suffix)                     \
+    {                                                               \
+        TEST_TEMPLATE_BUF2_BLK(                                     \
+            complex_math_f_all,                                     \
+            complex_math_f_all,                                     \
+            complex_math_block_sizes,                               \
+            input_type,                                             \
+            output_type,                                            \
+            arm_##fn_name##_##suffix,                               \
+            ARM_##fn_name##_INPUT_INTERFACE,                        \
+            ref_##fn_name##_##suffix,                               \
+            REF_##fn_name##_INPUT_INTERFACE,                        \
+            comparison_interface);                                  \
+    }
+
+#endif /* _COMPLEX_MATH_TEMPLATES_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/complex_math_tests/complex_math_test_data.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/complex_math_tests/complex_math_test_data.h
new file mode 100644
index 0000000..df561b4
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/complex_math_tests/complex_math_test_data.h
@@ -0,0 +1,50 @@
+#ifndef _COMPLEX_MATH_TEST_DATA_H_
+#define _COMPLEX_MATH_TEST_DATA_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "arr_desc.h"
+#include "arm_math.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+#define COMPLEX_MATH_MAX_INPUT_ELEMENTS 32
+#define COMPLEX_MATH_BIGGEST_INPUT_TYPE float32_t
+
+/*--------------------------------------------------------------------------------*/
+/* Decalare Variables */
+/*--------------------------------------------------------------------------------*/
+
+/* Input/Output Buffers */
+ARR_DESC_DECLARE(complex_math_output_fut_a);
+ARR_DESC_DECLARE(complex_math_output_fut_b);
+ARR_DESC_DECLARE(complex_math_output_ref_a);
+ARR_DESC_DECLARE(complex_math_output_ref_b);
+
+extern COMPLEX_MATH_BIGGEST_INPUT_TYPE
+complex_math_output_f32_ref_a[COMPLEX_MATH_MAX_INPUT_ELEMENTS * 2];
+
+extern COMPLEX_MATH_BIGGEST_INPUT_TYPE
+complex_math_output_f32_ref_b[COMPLEX_MATH_MAX_INPUT_ELEMENTS * 2];
+
+extern COMPLEX_MATH_BIGGEST_INPUT_TYPE
+complex_math_output_f32_fut_a[COMPLEX_MATH_MAX_INPUT_ELEMENTS * 2];
+
+extern COMPLEX_MATH_BIGGEST_INPUT_TYPE
+complex_math_output_f32_fut_b[COMPLEX_MATH_MAX_INPUT_ELEMENTS * 2];
+
+/* Block Sizes*/
+ARR_DESC_DECLARE(complex_math_block_sizes);
+
+/* Float Inputs */
+ARR_DESC_DECLARE(complex_math_zeros);
+ARR_DESC_DECLARE(complex_math_f_2);
+ARR_DESC_DECLARE(complex_math_f_15);
+ARR_DESC_DECLARE(complex_math_f_32);
+ARR_DESC_DECLARE(complex_math_f_all);
+
+
+#endif /* _COMPLEX_MATH_TEST_DATA_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/complex_math_tests/complex_math_test_group.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/complex_math_tests/complex_math_test_group.h
new file mode 100644
index 0000000..5c2ea1f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/complex_math_tests/complex_math_test_group.h
@@ -0,0 +1,9 @@
+#ifndef _COMPLEX_MATH_TEST_GROUP_H_
+#define _COMPLEX_MATH_TEST_GROUP_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Test Groups */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(complex_math_tests);
+
+#endif /* _COMPLEX_MATH_TEST_GROUP_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/complex_math_tests/complex_math_tests.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/complex_math_tests/complex_math_tests.h
new file mode 100644
index 0000000..ab4f0ae
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/complex_math_tests/complex_math_tests.h
@@ -0,0 +1,14 @@
+#ifndef _COMPLEX_MATH_TESTS_H_
+#define _COMPLEX_MATH_TESTS_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Test/Group Declarations */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(cmplx_conj_tests);
+JTEST_DECLARE_GROUP(cmplx_dot_prod_tests);
+JTEST_DECLARE_GROUP(cmplx_mag_tests);
+JTEST_DECLARE_GROUP(cmplx_mag_squared_tests);
+JTEST_DECLARE_GROUP(cmplx_mult_cmplx_tests);
+JTEST_DECLARE_GROUP(cmplx_mult_real_tests);
+
+#endif /* _COMPLEX_MATH_TESTS_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/controller_tests/controller_templates.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/controller_tests/controller_templates.h
new file mode 100644
index 0000000..f7956fb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/controller_tests/controller_templates.h
@@ -0,0 +1,46 @@
+#ifndef _CONTROLLER_TEMPLATES_H_
+#define _CONTROLLER_TEMPLATES_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "test_templates.h"
+#include <string.h>             /* memcpy() */
+
+/*--------------------------------------------------------------------------------*/
+/* Group Specific Templates */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ * Comparison SNR thresholds for the data types used in transform_tests.
+ */
+#define CONTROLLER_SNR_THRESHOLD_float32_t 110
+#define CONTROLLER_SNR_THRESHOLD_q31_t     100
+#define CONTROLLER_SNR_THRESHOLD_q15_t     45
+
+/**
+ *  Compare the outputs from the function under test and the reference
+ *  function using SNR.
+ */
+#define CONTROLLER_SNR_COMPARE_INTERFACE(block_size,    \
+                                         output_type)   \
+    do                                                  \
+    {                                                   \
+        TEST_CONVERT_AND_ASSERT_SNR(                    \
+            controller_output_f32_ref,                  \
+            (output_type *) controller_output_ref,      \
+            controller_output_f32_fut,                  \
+            (output_type *) controller_output_fut,      \
+            block_size,                                 \
+            output_type,                                \
+            CONTROLLER_SNR_THRESHOLD_##output_type      \
+            );                                          \
+    } while (0)
+
+
+/*--------------------------------------------------------------------------------*/
+/* TEST Templates */
+/*--------------------------------------------------------------------------------*/
+
+#endif /* _CONTROLLER_TEMPLATES_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/controller_tests/controller_test_data.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/controller_tests/controller_test_data.h
new file mode 100644
index 0000000..5aa63eb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/controller_tests/controller_test_data.h
@@ -0,0 +1,33 @@
+#ifndef _CONTROLLER_TEST_DATA_H_
+#define _CONTROLLER_TEST_DATA_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+#define CONTROLLER_MAX_LEN 1024
+#define CONTROLLER_MAX_COEFFS_LEN (12 * 3)
+#define TRANFORM_BIGGEST_INPUT_TYPE float32_t
+
+/*--------------------------------------------------------------------------------*/
+/* Variable Declarations */
+/*--------------------------------------------------------------------------------*/
+
+extern float32_t controller_output_fut[CONTROLLER_MAX_LEN];
+extern float32_t controller_output_ref[CONTROLLER_MAX_LEN];
+extern float32_t controller_output_f32_fut[CONTROLLER_MAX_LEN];
+extern float32_t controller_output_f32_ref[CONTROLLER_MAX_LEN];
+extern const float32_t controller_f32_inputs[CONTROLLER_MAX_LEN];
+extern const q31_t controller_q31_inputs[CONTROLLER_MAX_LEN];
+extern const q15_t * controller_q15_inputs;
+extern const float32_t controller_f32_coeffs[CONTROLLER_MAX_COEFFS_LEN];
+extern const q31_t controller_q31_coeffs[CONTROLLER_MAX_COEFFS_LEN];
+extern const q15_t controller_q15_coeffs[CONTROLLER_MAX_COEFFS_LEN];
+
+#endif /* _CONTROLLER_TEST_DATA_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/controller_tests/controller_test_group.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/controller_tests/controller_test_group.h
new file mode 100644
index 0000000..baead25
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/controller_tests/controller_test_group.h
@@ -0,0 +1,9 @@
+#ifndef _CONTROLLER_TEST_GROUP_H_
+#define _CONTROLLER_TEST_GROUP_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Test Group */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(controller_tests);
+
+#endif /* _CONTROLLER_TEST_GROUP_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/controller_tests/controller_tests.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/controller_tests/controller_tests.h
new file mode 100644
index 0000000..41996a8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/controller_tests/controller_tests.h
@@ -0,0 +1,11 @@
+#ifndef _CONTROLLER_TESTS_H_
+#define _CONTROLLER_TESTS_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Test/Group Declarations */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(pid_reset_tests);
+JTEST_DECLARE_GROUP(sin_cos_tests);
+JTEST_DECLARE_GROUP(pid_tests);
+
+#endif /* _CONTROLLER_TESTS_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/fast_math_tests/fast_math_templates.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/fast_math_tests/fast_math_templates.h
new file mode 100644
index 0000000..5b49512
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/fast_math_tests/fast_math_templates.h
@@ -0,0 +1,102 @@
+#ifndef _FAST_MATH_TEMPLATES_H_
+#define _FAST_MATH_TEMPLATES_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "test_templates.h"
+#include <string.h>             /* memcpy() */
+
+/*--------------------------------------------------------------------------------*/
+/* Group Specific Templates */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ * Comparison SNR thresholds for the data types used in transform_tests.
+ */
+#define FAST_MATH_SNR_THRESHOLD_float32_t 95
+#define FAST_MATH_SNR_THRESHOLD_q31_t     95
+#define FAST_MATH_SNR_THRESHOLD_q15_t     45
+
+/**
+ *  Compare the outputs from the function under test and the reference
+ *  function using SNR.
+ */
+#define FAST_MATH_SNR_COMPARE_INTERFACE(block_size,     \
+                                        output_type)    \
+    do                                                  \
+    {                                                   \
+        TEST_CONVERT_AND_ASSERT_SNR(                    \
+            fast_math_output_f32_ref,                   \
+            (output_type *) fast_math_output_ref,       \
+            fast_math_output_f32_fut,                   \
+            (output_type *) fast_math_output_fut,       \
+            block_size,                                 \
+            output_type,                                \
+            FAST_MATH_SNR_THRESHOLD_##output_type       \
+            );                                          \
+    } while (0)
+
+
+/*--------------------------------------------------------------------------------*/
+/* TEST Templates */
+/*--------------------------------------------------------------------------------*/
+
+#define SQRT_TEST_TEMPLATE_ELT1(suffix)                             \
+                                                                    \
+    JTEST_DEFINE_TEST(arm_sqrt_##suffix##_test, arm_sqrt_##suffix)  \
+    {                                                               \
+        uint32_t i;                                                 \
+                                                                    \
+        JTEST_COUNT_CYCLES(                                         \
+            for(i=0;i<FAST_MATH_MAX_LEN;i++)                        \
+            {                                                       \
+                arm_sqrt_##suffix(                                  \
+                    (suffix##_t)fast_math_##suffix##_inputs[i]      \
+                    ,(suffix##_t*)fast_math_output_fut + i);        \
+            });                                                     \
+                                                                    \
+        for(i=0;i<FAST_MATH_MAX_LEN;i++)                            \
+        {                                                           \
+            ref_sqrt_##suffix(                                      \
+                (suffix##_t)fast_math_##suffix##_inputs[i]          \
+                ,(suffix##_t*)fast_math_output_ref + i);            \
+        }                                                           \
+                                                                    \
+        FAST_MATH_SNR_COMPARE_INTERFACE(                            \
+            FAST_MATH_MAX_LEN,                                      \
+            suffix##_t);                                            \
+                                                                    \
+        return JTEST_TEST_PASSED;                                   \
+    }
+
+
+#define SIN_COS_TEST_TEMPLATE_ELT1(suffix, type, func)                  \
+                                                                        \
+        JTEST_DEFINE_TEST(arm_##func##_##suffix##_test, arm_##func##_##suffix) \
+        {                                                               \
+            uint32_t i;                                                 \
+                                                                        \
+            JTEST_COUNT_CYCLES(                                         \
+                for(i=0;i<FAST_MATH_MAX_LEN;i++)                        \
+                {                                                       \
+                    *((type*)fast_math_output_fut + i) = arm_##func##_##suffix( \
+                        fast_math_##suffix##_inputs[i]);                \
+                });                                                     \
+                                                                        \
+            JTEST_COUNT_CYCLES(                                         \
+                for(i=0;i<FAST_MATH_MAX_LEN;i++)                        \
+                {                                                       \
+                    *((type*)fast_math_output_ref + i) = ref_##func##_##suffix( \
+                        fast_math_##suffix##_inputs[i]);                \
+                });                                                     \
+                                                                        \
+            FAST_MATH_SNR_COMPARE_INTERFACE(                            \
+                FAST_MATH_MAX_LEN,                                      \
+                type);                                                  \
+                                                                        \
+            return JTEST_TEST_PASSED;                                   \
+        }
+
+#endif /* _FAST_MATH_TEMPLATES_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/fast_math_tests/fast_math_test_data.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/fast_math_tests/fast_math_test_data.h
new file mode 100644
index 0000000..0279be0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/fast_math_tests/fast_math_test_data.h
@@ -0,0 +1,29 @@
+#ifndef _FAST_MATH_TEST_DATA_H_
+#define _FAST_MATH_TEST_DATA_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+#define FAST_MATH_MAX_LEN 1024
+#define TRANFORM_BIGGEST_INPUT_TYPE float32_t
+
+/*--------------------------------------------------------------------------------*/
+/* Variable Declarations */
+/*--------------------------------------------------------------------------------*/
+
+extern float32_t fast_math_output_fut[FAST_MATH_MAX_LEN];
+extern float32_t fast_math_output_ref[FAST_MATH_MAX_LEN];
+extern float32_t fast_math_output_f32_fut[FAST_MATH_MAX_LEN];
+extern float32_t fast_math_output_f32_ref[FAST_MATH_MAX_LEN];
+extern const float32_t fast_math_f32_inputs[FAST_MATH_MAX_LEN];
+extern const q31_t fast_math_q31_inputs[FAST_MATH_MAX_LEN];
+extern const q15_t * fast_math_q15_inputs;
+
+#endif /* _FAST_MATH_TEST_DATA_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/fast_math_tests/fast_math_test_group.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/fast_math_tests/fast_math_test_group.h
new file mode 100644
index 0000000..3282118
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/fast_math_tests/fast_math_test_group.h
@@ -0,0 +1,9 @@
+#ifndef _FAST_MATH_TEST_GROUP_H_
+#define _FAST_MATH_TEST_GROUP_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Test Groups */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(fast_math_tests);
+
+#endif /* _FAST_MATH_TEST_GROUP_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/filtering_tests/filtering_templates.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/filtering_tests/filtering_templates.h
new file mode 100644
index 0000000..f3eb564
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/filtering_tests/filtering_templates.h
@@ -0,0 +1,91 @@
+#ifndef _FILTERING_TEMPLATES_H_
+#define _FILTERING_TEMPLATES_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+#include "test_templates.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Group Specific Templates */
+/*--------------------------------------------------------------------------------*/
+
+/*
+ * Comparison SNR thresholds for the data types used in statistics_tests.
+ */
+#define FILTERING_SNR_THRESHOLD_float64_t 120
+#define FILTERING_SNR_THRESHOLD_float32_t 99
+#define FILTERING_SNR_THRESHOLD_q31_t 90
+#define FILTERING_SNR_THRESHOLD_q15_t 60
+#define FILTERING_SNR_THRESHOLD_q7_t 30
+
+/**
+ *  Compare reference and fut outputs using SNR.
+ *
+ *  @note The outputs are converted to float32_t before comparison.
+ */
+#define FILTERING_SNR_COMPARE_INTERFACE(block_size,                     \
+                                        output_type)                    \
+    FILTERING_SNR_COMPARE_INTERFACE_OFFSET(0, block_size, output_type)
+
+/**
+ *  Compare reference and fut outputs starting at some offset using SNR.
+ */
+#define FILTERING_SNR_COMPARE_INTERFACE_OFFSET(offset,      \
+                                               block_size,  \
+                                               output_type) \
+    do                                                      \
+    {                                                       \
+        TEST_CONVERT_AND_ASSERT_SNR(                        \
+            filtering_output_f32_ref,                       \
+            (output_type *) filtering_output_ref + offset,  \
+            filtering_output_f32_fut,                       \
+            (output_type *) filtering_output_fut + offset,  \
+            block_size,                                     \
+            output_type,                                    \
+            FILTERING_SNR_THRESHOLD_##output_type           \
+            );                                              \
+    } while (0)                                              
+
+/**
+ *  Compare reference and fut outputs starting at some offset using SNR.
+ *  Special case for float64_t
+ */
+#define FILTERING_DBL_SNR_COMPARE_INTERFACE(block_size,  				\
+                                            output_type) 				\
+    do                                                      		\
+    {                                                       		\
+        TEST_ASSERT_DBL_SNR(                        						\
+            (float64_t*)filtering_output_ref,               \
+            (float64_t*)filtering_output_fut,               \
+            block_size,                                     		\
+            FILTERING_SNR_THRESHOLD_##output_type           		\
+            );                                              		\
+    } while (0)                                              
+		
+/*--------------------------------------------------------------------------------*/
+/* Input Interfaces */
+/*--------------------------------------------------------------------------------*/
+/*
+ *  General:
+ *  Input interfaces provide inputs to functions inside test templates.  They
+ *  ONLY provide the inputs.  The output variables should be hard coded.
+ *
+ *  The input interfaces must have the following format:
+ *
+ *  ARM_xxx_INPUT_INTERFACE() or
+ *  REF_xxx_INPUT_INTERFACE()
+ *
+ *  The xxx must be lowercase, and is intended to be the indentifying substring
+ *  in the function's name.  Acceptable values are 'sub' or 'add' from the
+ *  functions arm_add_q31.
+ */
+
+
+/*--------------------------------------------------------------------------------*/
+/* Test Templates */
+/*--------------------------------------------------------------------------------*/
+
+
+
+#endif /* _FILTERING_TEMPLATES_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/filtering_tests/filtering_test_data.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/filtering_tests/filtering_test_data.h
new file mode 100644
index 0000000..ee07291
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/filtering_tests/filtering_test_data.h
@@ -0,0 +1,81 @@
+#ifndef FILTERING_TEST_DATA_H
+#define FILTERING_TEST_DATA_H
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "arr_desc.h"
+#include "arm_math.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+#define FILTERING_MAX_BLOCKSIZE  33
+#define LMS_MAX_BLOCKSIZE        512
+#define FILTERING_MAX_NUMTAPS		34
+#define FILTERING_MAX_NUMSTAGES  14
+#define FILTERING_MAX_POSTSHIFT  8
+#define FILTERING_MAX_TAP_DELAY	0xFF
+#define FILTERING_MAX_L				3
+#define FILTERING_MAX_M				33
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Variables */
+/*--------------------------------------------------------------------------------*/
+
+/* Input/Output Buffers */
+extern float32_t filtering_output_fut[LMS_MAX_BLOCKSIZE*2];
+extern float32_t filtering_output_ref[LMS_MAX_BLOCKSIZE*2];
+extern float32_t filtering_output_f32_fut[LMS_MAX_BLOCKSIZE*2];
+extern float32_t filtering_output_f32_ref[LMS_MAX_BLOCKSIZE*2];
+extern float32_t filtering_input_lms[LMS_MAX_BLOCKSIZE*2];
+extern float32_t filtering_pState[LMS_MAX_BLOCKSIZE + FILTERING_MAX_NUMTAPS];
+extern float32_t filtering_scratch[FILTERING_MAX_BLOCKSIZE * 3];
+extern float32_t filtering_scratch2[FILTERING_MAX_BLOCKSIZE * 3];
+extern float32_t filtering_coeffs_lms[FILTERING_MAX_NUMTAPS];
+
+extern const float64_t filtering_f64_inputs[FILTERING_MAX_BLOCKSIZE * FILTERING_MAX_M + FILTERING_MAX_NUMTAPS];
+extern const float32_t filtering_f32_inputs[FILTERING_MAX_BLOCKSIZE * FILTERING_MAX_M + FILTERING_MAX_NUMTAPS];
+extern const q31_t filtering_q31_inputs[FILTERING_MAX_BLOCKSIZE * FILTERING_MAX_M + FILTERING_MAX_NUMTAPS];
+extern const q15_t * filtering_q15_inputs;
+extern const q7_t * filtering_q7_inputs;
+
+/* Block Sizes */
+ARR_DESC_DECLARE(filtering_blocksizes);
+ARR_DESC_DECLARE(lms_blocksizes);
+ARR_DESC_DECLARE(filtering_numtaps);
+ARR_DESC_DECLARE(filtering_numtaps2);
+ARR_DESC_DECLARE(filtering_postshifts);
+ARR_DESC_DECLARE(filtering_numstages);
+ARR_DESC_DECLARE(filtering_Ls);
+ARR_DESC_DECLARE(filtering_Ms);
+
+/* Coefficient Lists */
+extern const float64_t filtering_coeffs_f64[FILTERING_MAX_NUMSTAGES * 6 + 2];
+extern const float64_t filtering_coeffs_b_f64[FILTERING_MAX_NUMSTAGES * 6 + 2];
+extern const float32_t filtering_coeffs_f32[FILTERING_MAX_NUMSTAGES * 6 + 2];
+extern const float32_t filtering_coeffs_b_f32[FILTERING_MAX_NUMSTAGES * 6 + 2];
+extern const float32_t *filtering_coeffs_c_f32;
+extern float32_t filtering_coeffs_lms_f32[FILTERING_MAX_NUMTAPS];
+extern const q31_t filtering_coeffs_q31[FILTERING_MAX_NUMSTAGES * 6 + 2];
+extern const q31_t *filtering_coeffs_b_q31;
+extern const q31_t *filtering_coeffs_c_q31;
+extern q31_t filtering_coeffs_lms_q31[FILTERING_MAX_NUMTAPS];
+extern const q15_t filtering_coeffs_q15[FILTERING_MAX_NUMSTAGES * 6 + 4];
+extern const q15_t *filtering_coeffs_b_q15;
+extern const q15_t *filtering_coeffs_c_q15;
+extern q15_t filtering_coeffs_lms_q15[FILTERING_MAX_NUMTAPS];
+extern const q7_t filtering_coeffs_q7[FILTERING_MAX_NUMSTAGES * 6 + 8];
+extern const q7_t *filtering_coeffs_b_q7;
+extern const q7_t *filtering_coeffs_c_q7;
+
+/* Tap Delay Lists */
+extern const int32_t filtering_tap_delay[FILTERING_MAX_NUMTAPS];
+
+/* Numbers */
+
+/* Float Inputs */
+
+#endif
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/filtering_tests/filtering_test_group.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/filtering_tests/filtering_test_group.h
new file mode 100644
index 0000000..a5f6877
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/filtering_tests/filtering_test_group.h
@@ -0,0 +1,9 @@
+#ifndef _FILTERING_TEST_GROUP_H_
+#define _FILTERING_TEST_GROUP_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Test Groups */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(filtering_tests);
+
+#endif /* _FILTERING_TEST_GROUP_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/filtering_tests/filtering_tests.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/filtering_tests/filtering_tests.h
new file mode 100644
index 0000000..4caeca9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/filtering_tests/filtering_tests.h
@@ -0,0 +1,15 @@
+#ifndef _FILTERING_TESTS_H_
+#define _FILTERING_TESTS_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Test/Group Declarations */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DECLARE_GROUP(biquad_tests);
+JTEST_DECLARE_GROUP(conv_tests);
+JTEST_DECLARE_GROUP(correlate_tests);
+JTEST_DECLARE_GROUP(fir_tests);
+JTEST_DECLARE_GROUP(iir_tests);
+JTEST_DECLARE_GROUP(lms_tests);
+
+#endif /* _FILTERING_TESTS_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/intrinsics_tests/intrinsics_templates.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/intrinsics_tests/intrinsics_templates.h
new file mode 100644
index 0000000..5872fe9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/intrinsics_tests/intrinsics_templates.h
@@ -0,0 +1,166 @@
+#ifndef _INTRINSICS_TEMPLATES_H_
+#define _INTRINSICS_TEMPLATES_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "test_templates.h"
+#include <string.h>             /* memcpy() */
+
+/*--------------------------------------------------------------------------------*/
+/* Group Specific Templates */
+/*--------------------------------------------------------------------------------*/
+
+/**
+* Comparison SNR thresholds for the data types used in transform_tests.
+*/
+#define INTRINSICS_SNR_THRESHOLD_q63_t     120
+#define INTRINSICS_SNR_THRESHOLD_q31_t     95
+
+/**
+*  Compare the outputs from the function under test and the reference
+*  function using SNR.
+*/
+#define INTRINSICS_SNR_COMPARE_INTERFACE(block_size,  \
+   output_type)                                       \
+   do                                                 \
+   {                                                  \
+      TEST_CONVERT_AND_ASSERT_SNR(                    \
+         intrinsics_output_f32_ref,                   \
+         (output_type##_t *) intrinsics_output_ref,   \
+         intrinsics_output_f32_fut,                   \
+         (output_type##_t *) intrinsics_output_fut,   \
+         block_size,                                  \
+         output_type,                                 \
+         INTRINSICS_SNR_THRESHOLD_##output_type##_t   \
+      );                                              \
+   } while (0)
+
+
+/*--------------------------------------------------------------------------------*/
+/* TEST Templates */
+/*--------------------------------------------------------------------------------*/
+
+#define INTRINSICS_TEST_TEMPLATE_ELT1(functionName, dataType)              \
+                                                                           \
+   JTEST_DEFINE_TEST(functionName##_test, functionName)                    \
+   {                                                                       \
+      uint32_t i;                                                          \
+                                                                           \
+      JTEST_COUNT_CYCLES(                                                  \
+         for(i=0;i<INTRINSICS_MAX_LEN;i++)                                 \
+         {                                                                 \
+            *((dataType##_t*)intrinsics_output_fut + i) =                  \
+               functionName(                                               \
+                  (dataType##_t)intrinsics_##dataType##_inputs[i]);        \
+         });                                                               \
+                                                                           \
+      for(i=0;i<INTRINSICS_MAX_LEN;i++)                                    \
+      {                                                                    \
+         *((dataType##_t*)intrinsics_output_ref + i) =                     \
+            ref##functionName(                                             \
+               (dataType##_t)intrinsics_##dataType##_inputs[i]);           \
+      }                                                                    \
+                                                                           \
+      INTRINSICS_SNR_COMPARE_INTERFACE(                                    \
+         INTRINSICS_MAX_LEN,                                               \
+         dataType);                                                        \
+                                                                           \
+      return JTEST_TEST_PASSED;                                            \
+   }
+
+#define INTRINSICS_TEST_TEMPLATE_ELT2(functionName, dataType)              \
+                                                                           \
+   JTEST_DEFINE_TEST(functionName##_test, functionName)                    \
+   {                                                                       \
+      uint32_t i;                                                          \
+                                                                           \
+      JTEST_COUNT_CYCLES(                                                  \
+         for(i=0;i<INTRINSICS_MAX_LEN;i++)                                 \
+         {                                                                 \
+            *((dataType##_t*)intrinsics_output_fut + i) =                  \
+               functionName(                                               \
+                  (dataType##_t)intrinsics_##dataType##_inputs[i]          \
+                  ,(dataType##_t)intrinsics_##dataType##_inputs[i]);       \
+         });                                                               \
+                                                                           \
+      for(i=0;i<INTRINSICS_MAX_LEN;i++)                                    \
+      {                                                                    \
+         *((dataType##_t*)intrinsics_output_ref + i) =                     \
+            ref##functionName(                                             \
+               (dataType##_t)intrinsics_##dataType##_inputs[i]             \
+               ,(dataType##_t)intrinsics_##dataType##_inputs[i]);          \
+      }                                                                    \
+                                                                           \
+      INTRINSICS_SNR_COMPARE_INTERFACE(                                    \
+         INTRINSICS_MAX_LEN,                                               \
+         dataType);                                                        \
+                                                                           \
+      return JTEST_TEST_PASSED;                                            \
+   }
+
+#define INTRINSICS_TEST_TEMPLATE_ELT3(functionName, dataType)              \
+                                                                           \
+   JTEST_DEFINE_TEST(functionName##_test, functionName)                    \
+   {                                                                       \
+      uint32_t i;                                                          \
+                                                                           \
+      JTEST_COUNT_CYCLES(                                                  \
+         for(i=0;i<INTRINSICS_MAX_LEN;i++)                                 \
+         {                                                                 \
+            *((dataType##_t*)intrinsics_output_fut + i) =                  \
+               functionName(                                               \
+                  (dataType##_t)intrinsics_##dataType##_inputs[i]          \
+                  ,(dataType##_t)intrinsics_##dataType##_inputs[i]         \
+                  ,(dataType##_t)intrinsics_##dataType##_inputs[i]);       \
+         });                                                               \
+                                                                           \
+      for(i=0;i<INTRINSICS_MAX_LEN;i++)                                    \
+      {                                                                    \
+         *((dataType##_t*)intrinsics_output_ref + i) =                     \
+            ref##functionName(                                             \
+               (dataType##_t)intrinsics_##dataType##_inputs[i]             \
+               ,(dataType##_t)intrinsics_##dataType##_inputs[i]            \
+               ,(dataType##_t)intrinsics_##dataType##_inputs[i]);          \
+      }                                                                    \
+                                                                           \
+      INTRINSICS_SNR_COMPARE_INTERFACE(                                    \
+         INTRINSICS_MAX_LEN,                                               \
+         dataType);                                                        \
+                                                                           \
+      return JTEST_TEST_PASSED;                                            \
+   }
+
+#define INTRINSICS_TEST_TEMPLATE_ELT4(functionName, dataType, dataType2)   \
+   JTEST_DEFINE_TEST(functionName##_test, functionName)                    \
+   {                                                                       \
+      uint32_t i;                                                          \
+                                                                           \
+      JTEST_COUNT_CYCLES(                                                  \
+         for(i=0;i<INTRINSICS_MAX_LEN;i++)                                 \
+         {                                                                 \
+            *((dataType2##_t*)intrinsics_output_fut + i) =                 \
+               functionName(                                               \
+                  (dataType##_t)intrinsics_##dataType##_inputs[i]          \
+                  ,(dataType##_t)intrinsics_##dataType##_inputs[i]         \
+                  ,(dataType2##_t)intrinsics_##dataType2##_inputs[i]);     \
+         });                                                               \
+                                                                           \
+      for(i=0;i<INTRINSICS_MAX_LEN;i++)                                    \
+      {                                                                    \
+         *((dataType2##_t*)intrinsics_output_ref + i) =                    \
+            ref##functionName(                                             \
+               (dataType##_t)intrinsics_##dataType##_inputs[i]             \
+               ,(dataType##_t)intrinsics_##dataType##_inputs[i]            \
+               ,(dataType2##_t)intrinsics_##dataType2##_inputs[i]);        \
+      }                                                                    \
+                                                                           \
+      INTRINSICS_SNR_COMPARE_INTERFACE(                                    \
+         INTRINSICS_MAX_LEN,                                               \
+         dataType2);                                                       \
+                                                                           \
+      return JTEST_TEST_PASSED;                                            \
+   }
+
+#endif /* _INTRINSICS_TEMPLATES_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/intrinsics_tests/intrinsics_test_data.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/intrinsics_tests/intrinsics_test_data.h
new file mode 100644
index 0000000..130e4e8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/intrinsics_tests/intrinsics_test_data.h
@@ -0,0 +1,27 @@
+#ifndef _INTRINSICS_TEST_DATA_H_
+#define _INTRINSICS_TEST_DATA_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "arm_math.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+#define INTRINSICS_MAX_LEN 1024
+
+/*--------------------------------------------------------------------------------*/
+/* Variable Declarations */
+/*--------------------------------------------------------------------------------*/
+
+extern q63_t intrinsics_output_fut[INTRINSICS_MAX_LEN];
+extern q63_t intrinsics_output_ref[INTRINSICS_MAX_LEN];
+extern float32_t intrinsics_output_f32_fut[INTRINSICS_MAX_LEN];
+extern float32_t intrinsics_output_f32_ref[INTRINSICS_MAX_LEN];
+extern const q63_t intrinsics_q63_inputs[INTRINSICS_MAX_LEN];
+extern const q31_t *intrinsics_q31_inputs;
+
+#endif /* _INTRINSICS_TEST_DATA_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/intrinsics_tests/intrinsics_test_group.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/intrinsics_tests/intrinsics_test_group.h
new file mode 100644
index 0000000..d21d626
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/intrinsics_tests/intrinsics_test_group.h
@@ -0,0 +1,9 @@
+#ifndef _INTRINSICS_TEST_GROUP_H_
+#define _INTRINSICS_TEST_GROUP_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Test Groups */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(intrinsics_tests);
+
+#endif /* _INTRINSICS_TEST_GROUP_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/math_helper.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/math_helper.h
new file mode 100644
index 0000000..1ca7acb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/math_helper.h
@@ -0,0 +1,52 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010 ARM Limited. All rights reserved.
+*
+* $Date:        29. November 2010
+* $Revision:    V1.0.3
+*
+* Project:      CMSIS DSP Library
+*
+* Title:        math_helper.h
+*
+*
+* Description:	Prototypes of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Version 1.0.3 2010/11/29
+*    Re-organized the CMSIS folders and updated documentation.
+*
+* Version 1.0.2 2010/11/11
+*    Documentation updated.
+*
+* Version 1.0.1 2010/10/05
+*    Production release and review comments incorporated.
+*
+* Version 1.0.0 2010/09/20
+*    Production release and review comments incorporated.
+*
+* Version 0.0.7  2010/06/10
+*    Misra-C changes done
+* -------------------------------------------------------------------- */
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+#include "arm_math.h"
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);
+double arm_snr_f64(double *pRef, double *pTest,  uint32_t buffSize);
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/matrix_tests/matrix_templates.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/matrix_tests/matrix_templates.h
new file mode 100644
index 0000000..98f3552
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/matrix_tests/matrix_templates.h
@@ -0,0 +1,370 @@
+#ifndef _MATRIX_TEMPLATES_H_
+#define _MATRIX_TEMPLATES_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+#include "test_templates.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Group Specific Templates */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Compare the outputs from the function under test and the reference
+ *  function.
+ */
+#define MATRIX_COMPARE_INTERFACE(output_type, output_content_type)  \
+    TEST_ASSERT_BUFFERS_EQUAL(                                      \
+        ((output_type *) &matrix_output_ref)->pData,                \
+        ((output_type *) &matrix_output_fut)->pData,                \
+        ((output_type *) &matrix_output_fut)->numRows *             \
+        ((output_type *) &matrix_output_ref)->numCols *             \
+        sizeof(output_content_type))
+
+/**
+ * Comparison SNR thresholds for the data types used in matrix_tests.
+ */
+#define MATRIX_SNR_THRESHOLD 120
+
+/**
+ *  Compare the outputs from the function under test and the reference
+ *  function using SNR.
+ */
+#define MATRIX_SNR_COMPARE_INTERFACE(output_type, output_content_type)  \
+    do                                                                  \
+    {                                                                   \
+        TEST_CONVERT_AND_ASSERT_SNR(                                    \
+            (float32_t *)matrix_output_f32_ref,                         \
+            ((output_type *) &matrix_output_ref)->pData,                \
+            (float32_t *)matrix_output_f32_fut,                         \
+            ((output_type *) &matrix_output_ref)->pData,                \
+            ((output_type *) &matrix_output_fut)->numRows *             \
+            ((output_type *) &matrix_output_ref)->numCols,              \
+            output_content_type,                                        \
+            MATRIX_SNR_THRESHOLD                                        \
+            );                                                          \
+    } while (0)
+
+/**
+ *  Compare the outputs from the function under test and the reference
+ *  function using SNR. This is special for float64_t
+ */
+#define MATRIX_DBL_SNR_COMPARE_INTERFACE(output_type)                   \
+    do                                                                  \
+    {                                                                   \
+        TEST_ASSERT_DBL_SNR(                                            \
+            (float64_t *)matrix_output_f32_ref,                         \
+            (float64_t *)matrix_output_f32_fut,                         \
+            ((output_type *) &matrix_output_fut)->numRows *             \
+            ((output_type *) &matrix_output_ref)->numCols,              \
+            MATRIX_SNR_THRESHOLD                                        \
+            );                                                          \
+    } while (0)
+
+/*--------------------------------------------------------------------------------*/
+/* Input Interfaces */
+/*--------------------------------------------------------------------------------*/
+/*
+ *  General:
+ *  Input interfaces provide inputs to functions inside test templates.  They
+ *  ONLY provide the inputs.  The output variables should be hard coded.
+ *
+ *  The input interfaces must have the following format:
+ *
+ *  ARM_xxx_INPUT_INTERFACE() or
+ *  REF_xxx_INPUT_INTERFACE()
+ *
+ *  The xxx must be lowercase, and is intended to be the indentifying substring
+ *  in the function's name.  Acceptable values are 'sub' or 'add' from the
+ *  functions arm_add_q31.
+ */
+
+#define ARM_mat_add_INPUT_INTERFACE(input_a_ptr, input_b_ptr)    \
+    PAREN(input_a_ptr, input_b_ptr, (void *) &matrix_output_fut)
+
+#define REF_mat_add_INPUT_INTERFACE(input_a_ptr, input_b_ptr)    \
+    PAREN(input_a_ptr, input_b_ptr, (void *) &matrix_output_ref)
+
+#define ARM_mat_cmplx_mult_INPUT_INTERFACE(input_a_ptr, input_b_ptr)    \
+    PAREN(input_a_ptr, input_b_ptr, (void *) &matrix_output_fut)
+
+#define REF_mat_cmplx_mult_INPUT_INTERFACE(input_a_ptr, input_b_ptr)    \
+    PAREN(input_a_ptr, input_b_ptr, (void *) &matrix_output_ref)
+
+#define ARM_mat_inverse_INPUT_INTERFACE(input_ptr)  \
+    PAREN(input_ptr, (void *) &matrix_output_fut)
+
+#define REF_mat_inverse_INPUT_INTERFACE(input_ptr)  \
+    PAREN(input_ptr, (void *) &matrix_output_ref)
+
+#define ARM_mat_mult_INPUT_INTERFACE(input_a_ptr, input_b_ptr)      \
+    PAREN(input_a_ptr, input_b_ptr, (void *) &matrix_output_fut)
+
+#define REF_mat_mult_INPUT_INTERFACE(input_a_ptr, input_b_ptr)      \
+    PAREN(input_a_ptr, input_b_ptr, (void *) &matrix_output_ref)
+
+#define ARM_mat_mult_fast_INPUT_INTERFACE(input_a_ptr, input_b_ptr) \
+    PAREN(input_a_ptr, input_b_ptr, (void *) &matrix_output_fut)
+
+#define REF_mat_mult_fast_INPUT_INTERFACE(input_a_ptr, input_b_ptr) \
+    PAREN(input_a_ptr, input_b_ptr, (void *) &matrix_output_ref)
+
+#define ARM_mat_sub_INPUT_INTERFACE(input_a_ptr, input_b_ptr)    \
+    PAREN(input_a_ptr, input_b_ptr, (void *) &matrix_output_fut)
+
+#define REF_mat_sub_INPUT_INTERFACE(input_a_ptr, input_b_ptr)    \
+    PAREN(input_a_ptr, input_b_ptr, (void *) &matrix_output_ref)
+
+#define ARM_mat_trans_INPUT_INTERFACE(input_ptr)    \
+    PAREN(input_ptr, (void *) &matrix_output_fut)
+
+#define REF_mat_trans_INPUT_INTERFACE(input_ptr)    \
+    PAREN(input_ptr, (void *) &matrix_output_ref)
+
+/*--------------------------------------------------------------------------------*/
+/* Dimension Validation Interfaces */
+/*--------------------------------------------------------------------------------*/
+
+#define MATRIX_TEST_VALID_ADDITIVE_DIMENSIONS(input_type,   \
+                                              matrix_a_ptr, \
+                                              matrix_b_ptr) \
+    ((((input_type) (matrix_a_ptr))->numRows ==             \
+      ((input_type) (matrix_b_ptr))->numRows) &&            \
+     (((input_type) (matrix_a_ptr))->numCols ==             \
+      ((input_type) (matrix_b_ptr))->numCols))
+
+#define MATRIX_TEST_VALID_MULTIPLICATIVE_DIMENSIONS(input_type,     \
+                                                    matrix_a_ptr,   \
+                                                    matrix_b_ptr)   \
+    (((input_type) (matrix_a_ptr))->numCols ==                      \
+     ((input_type) (matrix_b_ptr))->numRows)
+
+#define MATRIX_TEST_VALID_SQUARE_DIMENSIONS(input_type, \
+                                            matrix_ptr) \
+    (((input_type)(matrix_ptr))->numRows ==             \
+     ((input_type)(matrix_ptr))->numCols)
+
+#define MATRIX_TEST_VALID_DIMENSIONS_ALWAYS(input_type, \
+                                            matrix_ptr) \
+    (1 == 1)                                            \
+
+/*--------------------------------------------------------------------------------*/
+/* Output Configuration Interfaces */
+/*--------------------------------------------------------------------------------*/
+/* The matrix tests assume the output matrix is always the correct size.  These
+ * interfaces size the properly size the output matrices according to the input
+ * matrices and the operation at hand.*/
+
+#define MATRIX_TEST_CONFIG_ADDITIVE_OUTPUT(input_type,      \
+                                           matrix_a_ptr,    \
+                                           matrix_b_ptr)    \
+    do                                                      \
+    {                                                       \
+        ((input_type) &matrix_output_fut)->numRows =        \
+            ((input_type)(matrix_a_ptr))->numRows;          \
+        ((input_type) &matrix_output_fut)->numCols =        \
+            ((input_type)(matrix_a_ptr))->numCols;          \
+        ((input_type) &matrix_output_ref)->numRows =        \
+            ((input_type)(matrix_a_ptr))->numRows;          \
+        ((input_type) &matrix_output_ref)->numCols =        \
+            ((input_type)(matrix_a_ptr))->numCols;          \
+    } while (0)
+
+#define MATRIX_TEST_CONFIG_MULTIPLICATIVE_OUTPUT(input_type,    \
+                                                 matrix_a_ptr,  \
+                                                 matrix_b_ptr)  \
+    do                                                          \
+    {                                                           \
+        ((input_type) &matrix_output_fut)->numRows =            \
+            ((input_type)(matrix_a_ptr))->numRows;              \
+        ((input_type) &matrix_output_fut)->numCols =            \
+            ((input_type)(matrix_b_ptr))->numCols;              \
+        ((input_type) &matrix_output_ref)->numRows =            \
+            ((input_type)(matrix_a_ptr))->numRows;              \
+        ((input_type) &matrix_output_ref)->numCols =            \
+            ((input_type)(matrix_b_ptr))->numCols;              \
+    } while (0)
+
+#define MATRIX_TEST_CONFIG_SAMESIZE_OUTPUT(input_type,  \
+                                           matrix_ptr)  \
+    do                                                  \
+    {                                                   \
+        ((input_type) &matrix_output_fut)->numRows =    \
+            ((input_type)(matrix_ptr))->numRows;        \
+        ((input_type) &matrix_output_fut)->numCols =    \
+            ((input_type)(matrix_ptr))->numCols;        \
+        ((input_type) &matrix_output_ref)->numRows =    \
+            ((input_type)(matrix_ptr))->numRows;        \
+        ((input_type) &matrix_output_ref)->numCols =    \
+            ((input_type)(matrix_ptr))->numCols;        \
+    } while (0)
+
+#define MATRIX_TEST_CONFIG_TRANSPOSE_OUTPUT(input_type,     \
+                                            matrix_ptr)     \
+        do                                                  \
+        {                                                   \
+            ((input_type) &matrix_output_fut)->numRows =    \
+                ((input_type)(matrix_ptr))->numCols;        \
+            ((input_type) &matrix_output_fut)->numCols =    \
+                ((input_type)(matrix_ptr))->numRows;        \
+            ((input_type) &matrix_output_ref)->numRows =    \
+                ((input_type)(matrix_ptr))->numCols;        \
+            ((input_type) &matrix_output_ref)->numCols =    \
+                ((input_type)(matrix_ptr))->numRows;        \
+        } while (0)
+
+/*--------------------------------------------------------------------------------*/
+/* TEST Templates */
+/*--------------------------------------------------------------------------------*/
+
+#define MATRIX_TEST_TEMPLATE_ELT1(arr_desc_inputs,                      \
+                                  input_type,                           \
+                                  output_type, output_content_type,     \
+                                  fut, fut_arg_interface,               \
+                                  ref, ref_arg_interface,               \
+                                  output_config_interface,              \
+                                  dim_validation_interface,             \
+                                  compare_interface)                    \
+    do                                                                  \
+    {                                                                   \
+        TEMPLATE_DO_ARR_DESC(                                           \
+            input_idx, input_type, input, arr_desc_inputs               \
+            ,                                                           \
+            JTEST_DUMP_STRF("Matrix Dimensions: %dx%d\n",               \
+                         (int)input->numRows,                           \
+                         (int)input->numCols);                          \
+                                                                        \
+            if (dim_validation_interface(input_type,                     \
+                                        input)) {                       \
+                output_config_interface(input_type,                     \
+                                        input);                         \
+                TEST_CALL_FUT_AND_REF(                                  \
+                    fut, fut_arg_interface(input),                      \
+                    ref, ref_arg_interface(input));                     \
+                compare_interface(output_type,                          \
+                                  output_content_type);                 \
+            } else {                                                    \
+                arm_status matrix_test_retval;                          \
+                TEST_CALL_FUT(                                          \
+                    matrix_test_retval = fut,                           \
+                    fut_arg_interface(input));                          \
+                                                                        \
+                /* If dimensions are known bad, the fut should */       \
+                /* detect it. */                                        \
+                if ( matrix_test_retval != ARM_MATH_SIZE_MISMATCH) {     \
+                    return JTEST_TEST_FAILED;                           \
+                }                                                       \
+            });                                                         \
+        return JTEST_TEST_PASSED;                                       \
+    } while (0)
+
+
+#define MATRIX_TEST_TEMPLATE_ELT2(arr_desc_inputs_a,                    \
+                                  arr_desc_inputs_b,                    \
+                                  input_type,                           \
+                                  output_type, output_content_type,     \
+                                  fut, fut_arg_interface,               \
+                                  ref, ref_arg_interface,               \
+                                  output_config_interface,              \
+                                  dim_validation_interface,             \
+                                  compare_interface)                    \
+    do                                                                  \
+    {                                                                   \
+        TEMPLATE_DO_ARR_DESC(                                           \
+            input_a_idx, input_type, input_a, arr_desc_inputs_a         \
+            ,                                                           \
+            input_type input_b = ARR_DESC_ELT(                          \
+                input_type, input_a_idx,                                \
+                &(arr_desc_inputs_b));                                  \
+                                                                        \
+            JTEST_DUMP_STRF("Matrix Dimensions: A %dx%d  B %dx%d\n",    \
+                     (int)input_a->numRows,                             \
+                     (int)input_a->numCols,                             \
+                     (int)input_b->numRows,                             \
+                     (int)input_b->numCols);                            \
+                                                                        \
+            if (dim_validation_interface(input_type,                     \
+                                        input_a,                        \
+                                        input_b)) {                     \
+                                                                        \
+                output_config_interface(input_type,                     \
+                                        input_a,                        \
+                                        input_b);                       \
+                                                                        \
+                TEST_CALL_FUT_AND_REF(                                  \
+                    fut, fut_arg_interface(input_a, input_b),           \
+                    ref, ref_arg_interface(input_a, input_b));          \
+                                                                        \
+                compare_interface(output_type, output_content_type);    \
+                                                                        \
+            } else {                                                    \
+                arm_status matrix_test_retval;                          \
+                TEST_CALL_FUT(                                          \
+                    matrix_test_retval = fut, fut_arg_interface(input_a, input_b)); \
+                                                                        \
+                /* If dimensions are known bad, the fut should */       \
+                /* detect it. */                                        \
+                if ( matrix_test_retval != ARM_MATH_SIZE_MISMATCH) {     \
+                    return JTEST_TEST_FAILED;                           \
+                }                                                       \
+            });                                                         \
+        return JTEST_TEST_PASSED;                                       \
+    } while (0)
+
+/**
+ *  Specialization of #MATRIX_TEST_TEMPLATE_ELT2() for matrix tests.
+ *
+ *  @note This macro relies on the existance of ARM_xxx_INPUT_INTERFACE and
+ *  REF_xxx_INPUT_INTERFACEs.
+ */
+#define MATRIX_DEFINE_TEST_TEMPLATE_ELT2(fn_name, suffix,           \
+                                         output_config_interface,   \
+                                         dim_validation_interface,  \
+                                         comparison_interface)      \
+        JTEST_DEFINE_TEST(arm_##fn_name##_##suffix##_test,          \
+                          arm_##fn_name##_##suffix)                 \
+        {                                                           \
+            MATRIX_TEST_TEMPLATE_ELT2(                              \
+                matrix_##suffix##_a_inputs,                         \
+                matrix_##suffix##_b_inputs,                         \
+                arm_matrix_instance_##suffix * ,                    \
+                arm_matrix_instance_##suffix,                       \
+                TYPE_FROM_ABBREV(suffix),                           \
+                arm_##fn_name##_##suffix,                           \
+                ARM_##fn_name##_INPUT_INTERFACE,                    \
+                ref_##fn_name##_##suffix,                           \
+                REF_##fn_name##_INPUT_INTERFACE,                    \
+                output_config_interface,                            \
+                dim_validation_interface,                           \
+                comparison_interface);                              \
+        }                                                           \
+
+/**
+ *  Specialization of #MATRIX_TEST_TEMPLATE_ELT1() for matrix tests.
+ *
+ *  @note This macro relies on the existance of ARM_xxx_INPUT_INTERFACE and
+ *  REF_xxx_INPUT_INTERFACEs.
+ */
+#define MATRIX_DEFINE_TEST_TEMPLATE_ELT1(fn_name, suffix,           \
+                                         output_config_interface,   \
+                                         dim_validation_interface)  \
+        JTEST_DEFINE_TEST(arm_##fn_name##_##suffix##_test,          \
+                          arm_##fn_name##_##suffix)                 \
+        {                                                           \
+            MATRIX_TEST_TEMPLATE_ELT1(                              \
+                matrix_##suffix##_a_inputs,                         \
+                arm_matrix_instance_##suffix * ,                    \
+                arm_matrix_instance_##suffix,                       \
+                TYPE_FROM_ABBREV(suffix),                           \
+                arm_##fn_name##_##suffix,                           \
+                ARM_##fn_name##_INPUT_INTERFACE,                    \
+                ref_##fn_name##_##suffix,                           \
+                REF_##fn_name##_INPUT_INTERFACE,                    \
+                output_config_interface,                            \
+                dim_validation_interface,                           \
+                MATRIX_COMPARE_INTERFACE);                          \
+        }                                                           \
+
+
+#endif /* _MATRIX_TEMPLATES_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/matrix_tests/matrix_test_data.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/matrix_tests/matrix_test_data.h
new file mode 100644
index 0000000..5940ae3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/matrix_tests/matrix_test_data.h
@@ -0,0 +1,54 @@
+#ifndef _MATRIX_TEST_DATA_H_
+#define _MATRIX_TEST_DATA_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "arr_desc.h"
+#include "arm_math.h"           /* float32_t */
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+#define MATRIX_TEST_MAX_ROWS 4
+#define MATRIX_TEST_MAX_COLS 4
+#define MATRIX_TEST_BIGGEST_INPUT_TYPE float64_t
+#define MATRIX_TEST_MAX_ELTS (MATRIX_TEST_MAX_ROWS * MATRIX_TEST_MAX_COLS)
+#define MATRIX_MAX_COEFFS_LEN 16
+#define MATRIX_MAX_SHIFTS_LEN 5
+
+/**
+ *  Declare the matrix inputs defined by MATRIX_DEFINE_INPUTS.
+ */
+#define MATRIX_DECLARE_INPUTS(suffix)               \
+    ARR_DESC_DECLARE(matrix_##suffix##_a_inputs);   \
+    ARR_DESC_DECLARE(matrix_##suffix##_b_inputs);   \
+    ARR_DESC_DECLARE(matrix_##suffix##_invertible_inputs)
+
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Variables */
+/*--------------------------------------------------------------------------------*/
+
+/* Input/Output Buffers */
+extern arm_matrix_instance_f32 matrix_output_fut;
+extern arm_matrix_instance_f32 matrix_output_ref;
+extern arm_matrix_instance_f64 matrix_output_fut64;
+extern arm_matrix_instance_f64 matrix_output_ref64;
+extern MATRIX_TEST_BIGGEST_INPUT_TYPE matrix_output_f32_fut[MATRIX_TEST_MAX_ELTS];
+extern MATRIX_TEST_BIGGEST_INPUT_TYPE matrix_output_f32_ref[MATRIX_TEST_MAX_ELTS];
+extern MATRIX_TEST_BIGGEST_INPUT_TYPE matrix_output_scratch[MATRIX_TEST_MAX_ELTS];
+
+/* Matrix Inputs */
+MATRIX_DECLARE_INPUTS(f64);
+MATRIX_DECLARE_INPUTS(f32);
+MATRIX_DECLARE_INPUTS(q31);
+MATRIX_DECLARE_INPUTS(q15);
+
+extern const float32_t matrix_f32_scale_values[MATRIX_MAX_COEFFS_LEN];
+extern const q31_t matrix_q31_scale_values[MATRIX_MAX_COEFFS_LEN];
+extern const q15_t matrix_q15_scale_values[MATRIX_MAX_COEFFS_LEN];
+extern const int32_t matrix_shift_values[MATRIX_MAX_SHIFTS_LEN];
+
+#endif /* _MATRIX_TEST_DATA_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/matrix_tests/matrix_test_group.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/matrix_tests/matrix_test_group.h
new file mode 100644
index 0000000..017b125
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/matrix_tests/matrix_test_group.h
@@ -0,0 +1,9 @@
+#ifndef _MATRIX_TEST_GROUP_H_
+#define _MATRIX_TEST_GROUP_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Test Groups */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(matrix_tests);
+
+#endif /* _MATRIX_TEST_GROUP_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/matrix_tests/matrix_tests.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/matrix_tests/matrix_tests.h
new file mode 100644
index 0000000..9947c02
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/matrix_tests/matrix_tests.h
@@ -0,0 +1,17 @@
+#ifndef _MATRIX_TESTS_H_
+#define _MATRIX_TESTS_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Test/Group Declarations */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(mat_add_tests);
+JTEST_DECLARE_GROUP(mat_cmplx_mult_tests);
+JTEST_DECLARE_GROUP(mat_init_tests);
+JTEST_DECLARE_GROUP(mat_inverse_tests);
+JTEST_DECLARE_GROUP(mat_mult_tests);
+JTEST_DECLARE_GROUP(mat_mult_fast_tests);
+JTEST_DECLARE_GROUP(mat_sub_tests);
+JTEST_DECLARE_GROUP(mat_trans_tests);
+JTEST_DECLARE_GROUP(mat_scale_tests);
+
+#endif /* _MATRIX_TESTS_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/statistics_tests/statistics_templates.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/statistics_tests/statistics_templates.h
new file mode 100644
index 0000000..ddca35c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/statistics_tests/statistics_templates.h
@@ -0,0 +1,157 @@
+#ifndef _STATISTICS_TEMPLATES_H_
+#define _STATISTICS_TEMPLATES_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "test_templates.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Group Specific Templates */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Compare the outputs from the function under test and the reference function.
+ */
+#define STATISTICS_COMPARE_INTERFACE(block_size,    \
+                                     output_type)   \
+    do                                              \
+    {                                               \
+        TEST_ASSERT_BUFFERS_EQUAL(                  \
+            statistics_output_ref.data_ptr,         \
+            statistics_output_fut.data_ptr,         \
+            1 * sizeof(output_type) /* All fns return one value*/   \
+            );                                      \
+        TEST_ASSERT_EQUAL(                          \
+            statistics_idx_fut,                     \
+            statistics_idx_ref);                    \
+    } while (0)                                      \
+
+/*
+ * Comparison SNR thresholds for the data types used in statistics_tests.
+ */
+#define STATISTICS_SNR_THRESHOLD_float32_t 120
+#define STATISTICS_SNR_THRESHOLD_q31_t 100
+#define STATISTICS_SNR_THRESHOLD_q15_t 60
+#define STATISTICS_SNR_THRESHOLD_q7_t 30
+
+/**
+ *  Compare reference and fut outputs using SNR.
+ *
+ *  @note The outputs are converted to float32_t before comparison.
+ */
+#define STATISTICS_SNR_COMPARE_INTERFACE(block_size,    \
+                                         output_type)   \
+    do                                                  \
+    {                                                   \
+        TEST_CONVERT_AND_ASSERT_SNR(                    \
+            statistics_output_f32_ref,                  \
+            statistics_output_ref.data_ptr,             \
+            statistics_output_f32_fut,                  \
+            statistics_output_fut.data_ptr,             \
+                1, /* All fns return one element*/      \
+            output_type,                                \
+            STATISTICS_SNR_THRESHOLD_##output_type      \
+            );                                          \
+    } while (0)
+
+
+
+/*--------------------------------------------------------------------------------*/
+/* Input Interfaces */
+/*--------------------------------------------------------------------------------*/
+/*
+ *  General:
+ *  Input interfaces provide inputs to functions inside test templates.  They
+ *  ONLY provide the inputs.  The output variables should be hard coded.
+ *
+ *  The input interfaces must have the following format:
+ *
+ *  ARM_xxx_INPUT_INTERFACE() or
+ *  REF_xxx_INPUT_INTERFACE()
+ *
+ *  The xxx must be lowercase, and is intended to be the indentifying substring
+ *  in the function's name.  Acceptable values are 'sub' or 'add' from the
+ *  functions arm_add_q31.
+ */
+
+#define ARM_max_INPUT_INTERFACE(input, block_size)              \
+    PAREN(input, block_size,                                    \
+          statistics_output_fut.data_ptr, &statistics_idx_fut)
+
+#define REF_max_INPUT_INTERFACE(input, block_size)              \
+    PAREN(input, block_size,                                    \
+          statistics_output_ref.data_ptr, &statistics_idx_ref)
+
+#define ARM_mean_INPUT_INTERFACE(input, block_size)             \
+    PAREN(input, block_size, statistics_output_fut.data_ptr)
+
+#define REF_mean_INPUT_INTERFACE(input, block_size)             \
+    PAREN(input, block_size, statistics_output_ref.data_ptr)
+
+#define ARM_min_INPUT_INTERFACE(input, block_size)              \
+    PAREN(input, block_size,                                    \
+          statistics_output_fut.data_ptr, &statistics_idx_fut)
+
+#define REF_min_INPUT_INTERFACE(input, block_size)              \
+    PAREN(input, block_size,                                    \
+          statistics_output_ref.data_ptr, &statistics_idx_ref)
+
+#define ARM_power_INPUT_INTERFACE(input, block_size)            \
+    PAREN(input, block_size, statistics_output_fut.data_ptr)
+
+#define REF_power_INPUT_INTERFACE(input, block_size)            \
+    PAREN(input, block_size, statistics_output_ref.data_ptr)
+
+#define ARM_rms_INPUT_INTERFACE(input, block_size)              \
+    PAREN(input, block_size, statistics_output_fut.data_ptr)
+
+#define REF_rms_INPUT_INTERFACE(input, block_size)              \
+    PAREN(input, block_size, statistics_output_ref.data_ptr)
+
+#define ARM_std_INPUT_INTERFACE(input, block_size)              \
+    PAREN(input, block_size, statistics_output_fut.data_ptr)
+
+#define REF_std_INPUT_INTERFACE(input, block_size)              \
+    PAREN(input, block_size, statistics_output_ref.data_ptr)
+
+#define ARM_var_INPUT_INTERFACE(input, block_size)              \
+    PAREN(input, block_size, statistics_output_fut.data_ptr)
+
+#define REF_var_INPUT_INTERFACE(input, block_size)              \
+    PAREN(input, block_size, statistics_output_ref.data_ptr)
+
+
+/*--------------------------------------------------------------------------------*/
+/* Test Templates */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Specialization of #TEST_TEMPLATE_BUF1_BLK() for statistics tests.
+ *
+ *  @note This macro relies on the existance of ARM_xxx_INPUT_INTERFACE and
+ *  REF_xxx_INPUT_INTERFACEs.
+ */
+#define STATISTICS_DEFINE_TEST_TEMPLATE_BUF1_BLK(fn_name,       \
+                                                 suffix,        \
+                                                 input_type,    \
+                                                 output_type,   \
+                                                 comparison_interface)  \
+    JTEST_DEFINE_TEST(arm_##fn_name##_##suffix##_test,          \
+                      arm_##fn_name##_##suffix)                 \
+    {                                                           \
+        TEST_TEMPLATE_BUF1_BLK(                                 \
+            statistics_f_all,                                   \
+            statistics_block_sizes,                             \
+            input_type,                                         \
+            output_type,                                        \
+            arm_##fn_name##_##suffix,                           \
+            ARM_##fn_name##_INPUT_INTERFACE,                    \
+            ref_##fn_name##_##suffix,                           \
+            REF_##fn_name##_INPUT_INTERFACE,                    \
+            comparison_interface);                              \
+    }
+
+
+#endif /* _STATISTICS_TEMPLATES_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/statistics_tests/statistics_test_data.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/statistics_tests/statistics_test_data.h
new file mode 100644
index 0000000..3e1ee09
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/statistics_tests/statistics_test_data.h
@@ -0,0 +1,44 @@
+#ifndef _STATISTICS_TEST_DATA_H_
+#define _STATISTICS_TEST_DATA_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "arr_desc.h"
+#include "arm_math.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+#define STATISTICS_MAX_INPUT_ELEMENTS 32
+#define STATISTICS_BIGGEST_INPUT_TYPE float32_t
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Variables */
+/*--------------------------------------------------------------------------------*/
+
+/* Input/Output Buffers */
+ARR_DESC_DECLARE(statistics_output_fut);
+ARR_DESC_DECLARE(statistics_output_ref);
+extern uint32_t statistics_idx_fut;
+extern uint32_t statistics_idx_ref;
+
+extern STATISTICS_BIGGEST_INPUT_TYPE
+statistics_output_f32_ref[STATISTICS_MAX_INPUT_ELEMENTS];
+
+extern STATISTICS_BIGGEST_INPUT_TYPE
+statistics_output_f32_fut[STATISTICS_MAX_INPUT_ELEMENTS];
+
+
+/* Block Sizes */
+ARR_DESC_DECLARE(statistics_block_sizes);
+
+/* Float Inputs */
+ARR_DESC_DECLARE(statistics_zeros);
+ARR_DESC_DECLARE(statistics_f_2);
+ARR_DESC_DECLARE(statistics_f_15);
+ARR_DESC_DECLARE(statistics_f_32);
+ARR_DESC_DECLARE(statistics_f_all);
+
+#endif /* _STATISTICS_TEST_DATA_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/statistics_tests/statistics_test_group.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/statistics_tests/statistics_test_group.h
new file mode 100644
index 0000000..d1446ed
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/statistics_tests/statistics_test_group.h
@@ -0,0 +1,9 @@
+#ifndef _STATISTICS_TEST_GROUP_H_
+#define _STATISTICS_TEST_GROUP_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Test Groups */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(statistics_tests);
+
+#endif /* _STATISTICS_TEST_GROUP_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/statistics_tests/statistics_tests.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/statistics_tests/statistics_tests.h
new file mode 100644
index 0000000..20df03e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/statistics_tests/statistics_tests.h
@@ -0,0 +1,15 @@
+#ifndef _STATISTICS_TESTS_H_
+#define _STATISTICS_TESTS_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Test/Group Declarations */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(max_tests);
+JTEST_DECLARE_GROUP(mean_tests);
+JTEST_DECLARE_GROUP(min_tests);
+JTEST_DECLARE_GROUP(power_tests);
+JTEST_DECLARE_GROUP(rms_tests);
+JTEST_DECLARE_GROUP(std_tests);
+JTEST_DECLARE_GROUP(var_tests);
+
+#endif /* _STATISTICS_TESTS_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/support_tests/support_templates.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/support_tests/support_templates.h
new file mode 100644
index 0000000..bc94791
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/support_tests/support_templates.h
@@ -0,0 +1,120 @@
+#ifndef _SUPPORT_TEMPLATES_H_
+#define _SUPPORT_TEMPLATES_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "test_templates.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Group Specific Templates */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Compare the outputs from the function under test and the reference function.
+ */
+#define SUPPORT_COMPARE_INTERFACE(block_size,   \
+                                  output_type)  \
+    do                                          \
+    {                                           \
+        TEST_ASSERT_BUFFERS_EQUAL(              \
+            support_output_ref.data_ptr,        \
+            support_output_fut.data_ptr,        \
+            block_size * sizeof(output_type));  \
+    } while (0)                                  \
+
+/*--------------------------------------------------------------------------------*/
+/* Input Interfaces */
+/*--------------------------------------------------------------------------------*/
+/*
+ *  General:
+ *  Input interfaces provide inputs to functions inside test templates.  They
+ *  ONLY provide the inputs.  The output variables should be hard coded.
+ *
+ *  The input interfaces must have the following format:
+ *
+ *  ARM_xxx_INPUT_INTERFACE() or
+ *  REF_xxx_INPUT_INTERFACE()
+ *
+ *  The xxx must be lowercase, and is intended to be the indentifying substring
+ *  in the function's name.  Acceptable values are 'sub' or 'add' from the
+ *  functions arm_add_q31.
+ */
+
+#define ARM_copy_INPUT_INTERFACE(input, block_size)         \
+    PAREN(input, support_output_fut.data_ptr, block_size)
+
+#define REF_copy_INPUT_INTERFACE(input, block_size)         \
+    PAREN(input, support_output_ref.data_ptr, block_size)
+
+#define ARM_fill_INPUT_INTERFACE(elt, block_size)       \
+    PAREN(elt, support_output_fut.data_ptr, block_size)
+
+#define REF_fill_INPUT_INTERFACE(elt, block_size)       \
+    PAREN(elt, support_output_ref.data_ptr, block_size)
+
+#define ARM_x_to_y_INPUT_INTERFACE(input, block_size)       \
+    PAREN(input, support_output_fut.data_ptr, block_size)
+
+#define REF_x_to_y_INPUT_INTERFACE(input, block_size)       \
+    PAREN(input, support_output_ref.data_ptr, block_size)
+
+/*--------------------------------------------------------------------------------*/
+/* Test Templates */
+/*--------------------------------------------------------------------------------*/
+
+
+/**
+ *  Specialization of #TEST_TEMPLATE_BUF1_BLK() for support tests.
+ *
+ *  @note This macro relies on the existance of ARM_xxx_INPUT_INTERFACE and
+ *  REF_xxx_INPUT_INTERFACEs.
+ */
+#define SUPPORT_DEFINE_TEST_TEMPLATE_BUF1_BLK(fn_name,              \
+                                              suffix,               \
+                                              input_type,           \
+                                              output_type,          \
+                                              comparison_interface) \
+    JTEST_DEFINE_TEST(arm_##fn_name##_##suffix##_test,              \
+                      arm_##fn_name##_##suffix)                     \
+    {                                                               \
+        TEST_TEMPLATE_BUF1_BLK(                                     \
+            support_f_all,                                          \
+            support_block_sizes,                                    \
+            input_type,                                             \
+            output_type,                                            \
+            arm_##fn_name##_##suffix,                               \
+            ARM_##fn_name##_INPUT_INTERFACE,                        \
+            ref_##fn_name##_##suffix,                               \
+            REF_##fn_name##_INPUT_INTERFACE,                        \
+            comparison_interface);                                  \
+    }
+
+/**
+ *  Specialization of #TEST_TEMPLATE_ELT1_BLK() for support tests.
+ *
+ *  @note This macro relies on the existance of ARM_xxx_INPUT_INTERFACE and
+ *  REF_xxx_INPUT_INTERFACEs.
+ */
+#define SUPPORT_DEFINE_TEST_TEMPLATE_ELT1_BLK(fn_name,              \
+                                              suffix,               \
+                                              elt_type,             \
+                                              output_type,          \
+                                              comparison_interface) \
+    JTEST_DEFINE_TEST(arm_##fn_name##_##suffix##_test,              \
+                      arm_##fn_name##_##suffix)                     \
+    {                                                               \
+        TEST_TEMPLATE_ELT1_BLK(                                     \
+            support_elts,                                           \
+            support_block_sizes,                                    \
+            elt_type,                                               \
+            output_type,                                            \
+            arm_##fn_name##_##suffix,                               \
+            ARM_##fn_name##_INPUT_INTERFACE,                        \
+            ref_##fn_name##_##suffix,                               \
+            REF_##fn_name##_INPUT_INTERFACE,                        \
+            comparison_interface);                                  \
+    }
+
+#endif /* _SUPPORT_TEMPLATES_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/support_tests/support_test_data.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/support_tests/support_test_data.h
new file mode 100644
index 0000000..cc6c636
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/support_tests/support_test_data.h
@@ -0,0 +1,31 @@
+#ifndef ARM_SUPPORT_TEST_DATA_H
+#define ARM_SUPPORT_TEST_DATA_H
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "arr_desc.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Variables */
+/*--------------------------------------------------------------------------------*/
+
+/* Input/Output Buffers */
+ARR_DESC_DECLARE(support_output_fut);
+ARR_DESC_DECLARE(support_output_ref);
+
+/* Block Sizes*/
+ARR_DESC_DECLARE(support_block_sizes);
+
+/* Numbers */
+ARR_DESC_DECLARE(support_elts);
+
+/* Float Inputs */
+ARR_DESC_DECLARE(support_zeros);
+ARR_DESC_DECLARE(support_f_2);
+ARR_DESC_DECLARE(support_f_15);
+ARR_DESC_DECLARE(support_f_32);
+ARR_DESC_DECLARE(support_f_all);
+
+#endif
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/support_tests/support_test_group.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/support_tests/support_test_group.h
new file mode 100644
index 0000000..ef3a768
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/support_tests/support_test_group.h
@@ -0,0 +1,9 @@
+#ifndef _SUPPORT_TEST_GROUP_H_
+#define _SUPPORT_TEST_GROUP_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Test Groups */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(support_tests);
+
+#endif /* _SUPPORT_TEST_GROUP_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/support_tests/support_tests.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/support_tests/support_tests.h
new file mode 100644
index 0000000..2eab273
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/support_tests/support_tests.h
@@ -0,0 +1,11 @@
+#ifndef _SUPPORT_TESTS_H_
+#define _SUPPORT_TESTS_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Test/Group Declarations */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(copy_tests);
+JTEST_DECLARE_GROUP(fill_tests);
+JTEST_DECLARE_GROUP(x_to_y_tests);
+
+#endif /* _SUPPORT_TESTS_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/templates/template.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/templates/template.h
new file mode 100644
index 0000000..e4577d1
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/templates/template.h
@@ -0,0 +1,88 @@
+#ifndef _TEMPLATE_H_
+#define _TEMPLATE_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Looping and Iteration */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Template for the general structure of a loop.
+ */
+#define TEMPLATE_LOOP(setup, loop_def, body)    \
+    do                                          \
+    {                                           \
+        setup;                                  \
+        loop_def {                              \
+            body;                               \
+        }                                       \
+    } while (0)
+
+/**
+ *  Template for looping over an array-like sequence.
+ */
+#define TEMPLATE_DO_ARR_LIKE(iter_idx, type,                            \
+                             arr, arr_length,                           \
+                             iter_elem_setup,                           \
+                             body)                                      \
+    do                                                                  \
+    {                                                                   \
+        TEMPLATE_LOOP(                                                  \
+            int iter_idx,                                               \
+            for(iter_idx = 0; iter_idx < (arr_length); ++iter_idx),     \
+            iter_elem_setup;                                            \
+            body);                                                      \
+    } while (0)
+
+/**
+ *  Template for looping over the contents of an array.
+ */
+#define TEMPLATE_DO_ARR(iter_idx, type, iter_elem, arr, arr_length, body) \
+    do                                                                  \
+    {                                                                   \
+        TEMPLATE_DO_ARR_LIKE(                                           \
+            iter_idx, type, arr, arr_length,                            \
+            type iter_elem = (arr)[iter_idx],                           \
+            body);                                                      \
+    } while (0)
+
+/**
+ *  Template for looping over the contents of an #ARR_DESC.
+ */
+#define TEMPLATE_DO_ARR_DESC(iter_idx, type, iter_elem, arr_desc, body) \
+    do                                                                  \
+    {                                                                   \
+        TEMPLATE_DO_ARR_LIKE(                                           \
+            iter_idx, type, arr_desc, (arr_desc).element_count,         \
+            type iter_elem = ARR_DESC_ELT(type, iter_idx, &(arr_desc)), \
+            body);                                                      \
+    } while (0)
+
+/*--------------------------------------------------------------------------------*/
+/* Test Definition */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Template for the general structure of a test.
+ */
+#define TEMPLATE_TEST(setup, body, teardown)    \
+        do                                      \
+        {                                       \
+            setup;                              \
+            body;                               \
+            teardown;                           \
+        } while (0)
+
+/**
+ *  Template for calling a function.
+ *
+ *  @note Surround function arguments with the #PAREN() macro.
+ *
+ *  @example
+ *  void my_func(int arg1, int arg2);
+ *
+ *  TEMPLATE_CALL_FN(my_func, PAREN(3, 7));
+ */
+#define TEMPLATE_CALL_FN(fn, fn_args)           \
+        fn fn_args
+
+#endif /* _TEMPLATE_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/templates/test_templates.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/templates/test_templates.h
new file mode 100644
index 0000000..3fa7c66
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/templates/test_templates.h
@@ -0,0 +1,466 @@
+#ifndef _TEST_TEMPLATES_H_
+#define _TEST_TEMPLATES_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+#include "template.h"
+#include <string.h>             /* memcmp() */
+#include <inttypes.h>           /* PRIu32 */
+#include "math_helper.h"        /* arm_snr_f32() */
+
+/*--------------------------------------------------------------------------------*/
+/* Function Aliases for use in Templates. */
+/*--------------------------------------------------------------------------------*/
+#define ref_q31_t_to_float ref_q31_to_float
+#define ref_q15_t_to_float ref_q15_to_float
+#define ref_q7_t_to_float  ref_q7_to_float
+#define ref_float_to_q31_t ref_float_to_q31
+#define ref_float_to_q15_t ref_float_to_q15
+#define ref_float_to_q7_t  ref_float_to_q7
+#define ref_float32_t_to_float ref_copy_f32
+#define ref_float_to_float32_t ref_copy_f32
+
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Call the function-under-test.
+ */
+#define TEST_CALL_FUT(fut, fut_args)                    \
+    JTEST_COUNT_CYCLES(TEMPLATE_CALL_FN(fut, fut_args))
+
+/**
+ *  Call the reference-function.
+ */
+#define TEST_CALL_REF(ref, ref_args)            \
+    TEMPLATE_CALL_FN(ref, ref_args)
+
+/**
+ *  Call the function-under-test and the reference-function.
+ */
+#define TEST_CALL_FUT_AND_REF(fut, fut_args, ref, ref_args) \
+    do {                                                    \
+        TEST_CALL_FUT(fut, fut_args);                       \
+        TEST_CALL_REF(ref, ref_args);                       \
+    } while (0)
+
+/**
+ *  This macro eats a variable number of arguments and evaluates to a null
+ *  statement.
+ */
+#define TEST_NULL_STATEMENT(...) (void) "TEST_NULL_STATEMENT"
+
+/**
+ *  A function name, Usable in any template where a fut or ref name is accepted,
+ *  that evaluates to a #TEST_NULL_STATEMENT().
+ */
+#define TEST_NULL_FN TEST_NULL_STATEMENT
+
+/**
+ *  Assert that buffers A and B are byte-equivalent for a number of bytes.
+ */
+
+#define TEST_ASSERT_BUFFERS_EQUAL(buf_a, buf_b, bytes)\
+    do                                                \
+    {                                                 \
+        if (memcmp(buf_a, buf_b, bytes) != 0)         \
+        {                                             \
+            return JTEST_TEST_FAILED;                 \
+        }                                             \
+    } while (0)
+
+
+
+
+/**
+ *  Assert that the two entities are equal.
+ */
+#define TEST_ASSERT_EQUAL(a, b)      \
+    do                               \
+    {                                \
+        if ((a) != (b))              \
+        {                            \
+            return JTEST_TEST_FAILED;\
+        }                            \
+    } while (0)
+
+/**
+ *  Convert elements to from src_type to float.
+ */
+#define TEST_CONVERT_TO_FLOAT(src_ptr, dst_ptr, block_size, src_type)   \
+    do                                                                  \
+    {                                                                   \
+        ref_##src_type##_to_float(                                      \
+            src_ptr,                                                    \
+            dst_ptr,                                                    \
+            block_size);                                                \
+        } while (0)                                                      \
+
+/**
+ *  Convert elements to from float to dst_type .
+ */
+#define TEST_CONVERT_FLOAT_TO(src_ptr, dst_ptr, block_size, dst_type)   \
+    do                                                                  \
+    {                                                                   \
+        ref_float_to_##dst_type(                                        \
+            src_ptr,                                                    \
+            dst_ptr,                                                    \
+            block_size);                                                \
+    } while (0)                                                          \
+
+/**
+ *  Assert that the SNR between a reference and test sample is above a given
+ *  threshold.
+ */
+
+#define TEST_ASSERT_SNR(ref_ptr, tst_ptr, block_size, threshold)  \
+    do                                                            \
+    {                                                             \
+        float32_t snr = arm_snr_f32(ref_ptr, tst_ptr, block_size);\
+        if ( snr <= threshold)                                    \
+        {                                                         \
+            JTEST_DUMP_STRF("SNR: %f\n", snr);                    \
+            return JTEST_TEST_FAILED;                             \
+        }                                                         \
+    } while (0)
+
+
+/**
+ *  Assert that the SNR between a reference and test sample is above a given
+ *  threshold.  Special case for float64_t
+ */
+
+#define TEST_ASSERT_DBL_SNR(ref_ptr, tst_ptr, block_size, threshold)\
+    do                                                              \
+    {                                                               \
+        float64_t snr = arm_snr_f64(ref_ptr, tst_ptr, block_size);  \
+        if ( snr <= threshold)                                      \
+        {                                                           \
+            JTEST_DUMP_STRF("SNR: %f\n", snr);                      \
+            return JTEST_TEST_FAILED;                               \
+        }                                                           \
+    } while (0)
+
+
+/**
+ *  Compare test and reference elements by converting to float and
+ *  calculating an SNR.
+ *
+ *  This macro is a merger of the #TEST_CONVERT_TO_FLOAT() and
+ *  #TEST_ASSERT_SNR() macros.
+ */
+#define TEST_CONVERT_AND_ASSERT_SNR(ref_dst_ptr, ref_src_ptr,   \
+                                    tst_dst_ptr, tst_src_ptr,   \
+                                    block_size,                 \
+                                    tst_src_type,               \
+                                    threshold)                  \
+        do                                                      \
+        {                                                       \
+            TEST_CONVERT_TO_FLOAT(ref_src_ptr,                  \
+                                  ref_dst_ptr,                  \
+                                  block_size,                   \
+                                  tst_src_type);                \
+            TEST_CONVERT_TO_FLOAT(tst_src_ptr,                  \
+                                  tst_dst_ptr,                  \
+                                  block_size,                   \
+                                  tst_src_type);                \
+            TEST_ASSERT_SNR(ref_dst_ptr,                        \
+                            tst_dst_ptr,                        \
+                            block_size,                         \
+                            threshold);                         \
+        } while (0)
+
+/**
+ *  Execute statements only if the combination of block size, function type
+ *  specifier, and input ARR_DESC_t are valid.
+ *
+ *  @example An ARR_DESC_t that contains 64 bytes cant service a 32 element
+ *  block size if they are extracted in float32_t increments.
+ *
+ *  8 * 32 = 256 > 64.
+ */
+#define TEST_DO_VALID_BLOCKSIZE(block_size, fn_type_spec,   \
+                                input_arr_desc, body)       \
+    do                                                      \
+    {                                                       \
+        if (block_size * sizeof(fn_type_spec) <=             \
+           ARR_DESC_BYTES(input_arr_desc))                  \
+        {                                                   \
+            JTEST_DUMP_STRF("Block Size: %"PRIu32"\n", block_size); \
+            body;                                           \
+        }                                                   \
+    } while (0)                                              \
+
+/**
+ *  Template for tests that rely on one input buffer and a blocksize parameter.
+ *
+ *  The buffer is an #ARR_DESC_t.  It is iterated over and it's values are
+ *  passed to the function under test and reference functions through their
+ *  appropriate argument interfaces.  The argument interfaces this template to
+ *  execute structurally similar functions.
+ *
+ */
+#define TEST_TEMPLATE_BUF1_BLK(arr_desc_inputs,                         \
+                              arr_desc_block_sizes,                     \
+                              input_type, output_type,                  \
+                              fut, fut_arg_interface,                   \
+                              ref, ref_arg_interface,                   \
+                              compare_interface)                        \
+    do                                                                  \
+    {                                                                   \
+        TEMPLATE_DO_ARR_DESC(                                           \
+            input_idx, ARR_DESC_t *, input_ptr, arr_desc_inputs         \
+            ,                                                           \
+            TEMPLATE_DO_ARR_DESC(                                       \
+                block_size_idx, uint32_t, block_size, arr_desc_block_sizes \
+                ,                                                       \
+                void *   input_data_ptr = input_ptr->data_ptr;          \
+                                                                        \
+                TEST_DO_VALID_BLOCKSIZE(                                \
+                    block_size, input_type, input_ptr                   \
+                    ,                                                   \
+                    TEST_CALL_FUT_AND_REF(                              \
+                        fut, fut_arg_interface(                         \
+                            input_data_ptr, block_size),                \
+                        ref, ref_arg_interface(                         \
+                            input_data_ptr, block_size));               \
+                                                                        \
+                    compare_interface(block_size, output_type))));      \
+                                                                        \
+        return JTEST_TEST_PASSED;                                       \
+                                                                        \
+    } while (0)
+
+/**
+ *  Template for tests that rely on an input buffer and an element.
+ *
+ *  An element can is any thing which doesn't walk and talk like a
+ *  sequence. Examples include numbers, and structures.
+ */
+#define TEST_TEMPLATE_BUF1_ELT1(arr_desc_inputs,                        \
+                                arr_desc_elts,                          \
+                                input_type, elt_type, output_type,      \
+                                fut, fut_arg_interface,                 \
+                                ref, ref_arg_interface,                 \
+                                compare_interface)                      \
+        do                                                              \
+        {                                                               \
+            TEMPLATE_DO_ARR_DESC(                                       \
+                input_idx, ARR_DESC_t *, input_ptr, arr_desc_inputs     \
+                ,                                                       \
+                TEMPLATE_DO_ARR_DESC(                                   \
+                    elt_idx, elt_type, elt, arr_desc_elts               \
+                    ,                                                   \
+                    void * input_data_ptr = input_ptr->data_ptr;        \
+                    TEST_CALL_FUT_AND_REF(                              \
+                        fut, fut_arg_interface(input_data_ptr, elt),    \
+                        ref, ref_arg_interface(input_data_ptr, elt));   \
+                                                                        \
+                    compare_interface(output_type)));                   \
+            return JTEST_TEST_PASSED;                                   \
+        } while (0)
+
+/**
+ *  Template for tests that rely on an input buffer, an element, and a blocksize
+ *  parameter.
+ */
+#define TEST_TEMPLATE_BUF1_ELT1_BLK(arr_desc_inputs,                \
+                                    arr_desc_elts,                  \
+                                    arr_desc_block_sizes,           \
+                                    input_type, elt_type, output_type,  \
+                                    fut, fut_arg_interface,         \
+                                    ref, ref_arg_interface,         \
+                                    compare_interface);             \
+    do                                                              \
+    {                                                               \
+        TEMPLATE_DO_ARR_DESC(                                       \
+            inut_idx, ARR_DESC_t *, input_ptr, arr_desc_inputs      \
+            ,                                                       \
+            TEMPLATE_DO_ARR_DESC(                                   \
+                block_size_idx, uint32_t, block_size,               \
+                arr_desc_block_sizes                                \
+                ,                                                   \
+                TEMPLATE_DO_ARR_DESC(                               \
+                    elt_idx, elt_type, elt, arr_desc_elts           \
+                    ,                                               \
+                    void * input_data_ptr = input_ptr->data_ptr;    \
+                    TEST_DO_VALID_BLOCKSIZE(                        \
+                        block_size, input_type, input_ptr,          \
+                                              \
+                        TEST_CALL_FUT_AND_REF(                      \
+                            fut, fut_arg_interface(                 \
+                                input_data_ptr, elt, block_size),   \
+                            ref, ref_arg_interface(                 \
+                                input_data_ptr, elt, block_size));  \
+                        compare_interface(block_size, output_type))))); \
+        return JTEST_TEST_PASSED;                                   \
+    } while (0)
+
+/**
+ *  Template for tests that rely on an input buffer, two elements, and a blocksize
+ *  parameter.
+ */
+#define TEST_TEMPLATE_BUF1_ELT2_BLK(arr_desc_inputs,                    \
+                                    arr_desc_elt1s,                     \
+                                    arr_desc_elt2s,                     \
+                                    arr_desc_block_sizes,               \
+                                    input_type, elt1_type,              \
+                                    elt2_type, output_type,             \
+                                    fut, fut_arg_interface,             \
+                                    ref, ref_arg_interface,             \
+                                    compare_interface)                  \
+        do                                                              \
+        {                                                               \
+            TEMPLATE_DO_ARR_DESC(                                       \
+                inut_idx, ARR_DESC_t *, input_ptr, arr_desc_inputs      \
+                ,                                                       \
+                TEMPLATE_DO_ARR_DESC(                                   \
+                    block_size_idx, uint32_t, block_size,               \
+                    arr_desc_block_sizes                                \
+                    ,                                                   \
+                    TEMPLATE_DO_ARR_DESC(                               \
+                        elt1_idx, elt1_type, elt1, arr_desc_elt1s       \
+                        ,                                               \
+                        TEMPLATE_DO_ARR_DESC(                           \
+                            elt2_idx, elt2_type, elt2, arr_desc_elt2s   \
+                            ,                                           \
+                            void * input_data_ptr = input_ptr->data_ptr; \
+                            TEST_DO_VALID_BLOCKSIZE(                    \
+                                block_size, input_type, input_ptr,      \
+                                TEST_CALL_FUT_AND_REF(                  \
+                                    fut, fut_arg_interface(             \
+                                        input_data_ptr, elt1, elt2, block_size), \
+                                    ref, ref_arg_interface(             \
+                                        input_data_ptr, elt1, elt2, block_size)); \
+                                compare_interface(block_size, output_type)))))); \
+            return JTEST_TEST_PASSED;                                   \
+        } while (0)
+
+/**
+ *  Template for tests that rely on two input buffers and a blocksize parameter.
+ *
+ *  The two #ARR_DESC_t, input buffers are iterated through in parallel. The
+ *  length of the first #ARR_DESC_t determines the length of the iteration.
+ */
+#define TEST_TEMPLATE_BUF2_BLK(arr_desc_inputs_a,                       \
+                              arr_desc_inputs_b,                        \
+                              arr_desc_block_sizes,                     \
+                              input_type, output_type,                  \
+                              fut, fut_arg_interface,                   \
+                              ref, ref_arg_interface,                   \
+                              compare_interface)                        \
+    do                                                                  \
+    {                                                                   \
+        /* Iterate over two input arrays in parallel.*/                 \
+        TEMPLATE_DO_ARR_DESC(                                           \
+            input_idx, ARR_DESC_t *, input_ptr, arr_desc_inputs_a       \
+            ,                                                           \
+            TEMPLATE_DO_ARR_DESC(                                       \
+                block_size_idx, uint32_t, block_size, arr_desc_block_sizes, \
+                void * input_a_ptr = input_ptr->data_ptr;               \
+                void * input_b_ptr = ARR_DESC_ELT(                      \
+                    ARR_DESC_t *, input_idx,                            \
+                    &(arr_desc_inputs_b))->data_ptr;                    \
+                                                                        \
+                TEST_DO_VALID_BLOCKSIZE(                                \
+                    block_size, input_type, input_ptr                   \
+                    ,                                                   \
+                    TEST_CALL_FUT_AND_REF(                              \
+                        fut, fut_arg_interface(                         \
+                            input_a_ptr, input_b_ptr, block_size),      \
+                        ref, ref_arg_interface(                         \
+                            input_a_ptr, input_b_ptr, block_size));     \
+                                                                        \
+                    compare_interface(block_size, output_type))));      \
+        return JTEST_TEST_PASSED;                                       \
+    } while (0)
+
+/**
+ *  Test template that uses a single element.
+ */
+#define TEST_TEMPLATE_ELT1(arr_desc_elts,                       \
+                           elt_type, output_type,               \
+                           fut, fut_arg_interface,              \
+                           ref, ref_arg_interface,              \
+                           compare_interface)                   \
+        do                                                      \
+        {                                                       \
+            TEMPLATE_DO_ARR_DESC(                               \
+                elt_idx, elt_type, elt, arr_desc_elts           \
+                ,                                               \
+                TEST_CALL_FUT_AND_REF(                          \
+                    fut, fut_arg_interface(                     \
+                        elt),                                   \
+                    ref, ref_arg_interface(                     \
+                        elt));                                  \
+                /* Comparison interfaces typically accept */    \
+                /* a block_size. Pass a dummy value 1.*/        \
+                compare_interface(1, output_type));             \
+            return JTEST_TEST_PASSED;                           \
+        } while (0)
+
+/**
+ *  Test template that iterates over two sets of elements in parallel.
+ *
+ *  The length of the first set determines the number of iteratsions.
+ */
+#define TEST_TEMPLATE_ELT2(arr_desc_elts_a,                     \
+                           arr_desc_elts_b,                     \
+                           elt_a_type, elt_b_type, output_type, \
+                           fut, fut_arg_interface,              \
+                           ref, ref_arg_interface,              \
+                           compare_interface)                   \
+        do                                                      \
+        {                                                       \
+            TEMPLATE_DO_ARR_DESC(                               \
+                elt_a_idx, elt_a_type, elt_a, arr_desc_elts_a   \
+                ,                                               \
+                elt_b_type * elt_b = ARR_DESC_ELT(              \
+                    elt_b_type,                                 \
+                    elt_a_idx,                                  \
+                    arr_desc_elts_b);                           \
+                                                                \
+                TEST_CALL_FUT_AND_REF(                          \
+                    fut, fut_arg_interface(                     \
+                        elt_a, elt_b),                          \
+                    ref, ref_arg_interface(                     \
+                        elt_a, elt_b));                         \
+                /* Comparison interfaces typically accept */    \
+                /* a block_size. Pass a dummy value 1.*/        \
+                compare_interface(1, output_type));             \
+            return JTEST_TEST_PASSED;                           \
+        } while (0)
+
+/**
+ *  Test template that uses an element and a block size.
+ */
+#define TEST_TEMPLATE_ELT1_BLK(arr_desc_elts,                       \
+                               arr_desc_block_sizes,                \
+                               elt_type, output_type,               \
+                               fut, fut_arg_interface,              \
+                               ref, ref_arg_interface,              \
+                               compare_interface)                   \
+        do                                                          \
+        {                                                           \
+            TEMPLATE_DO_ARR_DESC(                                   \
+                block_size_idx, uint32_t, block_size,               \
+                arr_desc_block_sizes                                \
+                ,                                                   \
+                TEMPLATE_DO_ARR_DESC(                               \
+                    elt_idx, elt_type, elt, arr_desc_elts           \
+                    ,                                               \
+                    JTEST_DUMP_STRF("Block Size: %d\n",             \
+                         (int)block_size);                          \
+                    TEST_CALL_FUT_AND_REF(                          \
+                        fut, fut_arg_interface(                     \
+                            elt, block_size),                       \
+                        ref, ref_arg_interface(                     \
+                            elt, block_size));                      \
+                    compare_interface(block_size, output_type)));   \
+            return JTEST_TEST_PASSED;                               \
+        } while (0)
+
+#endif /* _TEST_TEMPLATES_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/transform_tests/transform_templates.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/transform_tests/transform_templates.h
new file mode 100644
index 0000000..c6314b5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/transform_tests/transform_templates.h
@@ -0,0 +1,181 @@
+#ifndef _TRANSFORM_TEMPLATES_H_
+#define _TRANSFORM_TEMPLATES_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "test_templates.h"
+#include <string.h>             /* memcpy() */
+
+/*--------------------------------------------------------------------------------*/
+/* Group Specific Templates */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ * Comparison SNR thresholds for the data types used in transform_tests.
+ */
+#define TRANSFORM_SNR_THRESHOLD_float32_t 90
+#define TRANSFORM_SNR_THRESHOLD_q31_t     90
+#define TRANSFORM_SNR_THRESHOLD_q15_t     30
+
+#define DCT4_TRANSFORM_SNR_THRESHOLD_float32_t 80
+#define DCT4_TRANSFORM_SNR_THRESHOLD_q31_t     75
+#define DCT4_TRANSFORM_SNR_THRESHOLD_q15_t     11
+
+/**
+ *  Compare the outputs from the function under test and the reference
+ *  function using SNR.
+ */
+#define TRANSFORM_SNR_COMPARE_INTERFACE(block_size,     \
+                                        output_type)    \
+    do                                                  \
+    {                                                   \
+        TEST_CONVERT_AND_ASSERT_SNR(                    \
+            transform_fft_output_f32_ref,               \
+            (output_type *) transform_fft_output_ref,   \
+            transform_fft_output_f32_fut,               \
+            (output_type *) transform_fft_output_fut,   \
+            block_size,                                 \
+            output_type,                                \
+            TRANSFORM_SNR_THRESHOLD_##output_type       \
+            );                                          \
+    } while (0)
+    
+/**
+ *  Compare the outputs from the function under test and the reference
+ *  function using SNR.
+ */
+#define DCT_TRANSFORM_SNR_COMPARE_INTERFACE(block_size,  \
+                                            output_type) \
+    do                                                   \
+    {                                                    \
+        TEST_CONVERT_AND_ASSERT_SNR(                     \
+            transform_fft_output_f32_ref,                \
+            (output_type *) transform_fft_output_ref,    \
+            transform_fft_output_f32_fut,                \
+            (output_type *) transform_fft_output_fut,    \
+            block_size,                                  \
+            output_type,                                 \
+            DCT4_TRANSFORM_SNR_THRESHOLD_##output_type   \
+            );                                           \
+    } while (0)                                           \
+
+/**
+ *  Specialization on #TRANSFORM_SNR_COMPARE_INTERFACE() to fix the block_size
+ *  for complex datasets.
+ */
+#define TRANSFORM_SNR_COMPARE_CMPLX_INTERFACE(block_size, output_type)  \
+    /* Complex numbers have two components*/                            \
+    TRANSFORM_SNR_COMPARE_INTERFACE(block_size * 2, output_type )
+
+/**
+ * This macro copys data from the input_ptr into input arrays.
+ *
+ * Some functions modify their input data; in order to provide the same data to
+ * multiple tests, copies must be made so the changes from one function don't
+ * impact the others.
+ */
+#define TRANSFORM_COPY_INPUTS(input_ptr,        \
+                              bytes)            \
+    do                                          \
+    {                                           \
+        memcpy(                                 \
+            transform_fft_input_fut,            \
+            input_ptr,                          \
+            bytes);                             \
+        memcpy(                                 \
+            transform_fft_input_ref,            \
+            input_ptr,                          \
+            bytes);                             \
+    } while (0)
+
+/**
+ * This macro copys data from the input_ptr into input arrays. It also creates
+ * symmetric input data for rfft inverse.
+ *
+ * The 4.534234f just makes the middle entry of the array semi random.  It's
+ * actual value doesn't seem to matter much.
+ *
+ * Some functions modify their input data; in order to provide the same data to
+ * multiple tests, copies must be made so the changes from one function don't
+ * impact the others.
+ */
+#define TRANSFORM_PREPARE_INVERSE_INPUTS(input_ptr,                              \
+                              fftlen, input_type, bytes)                         \
+    do                                                                           \
+    {                                                                            \
+        uint32_t i;                                                              \
+                                                                                 \
+        memcpy(                                                                  \
+            transform_fft_input_fut,                                             \
+            input_ptr,                                                           \
+            bytes);                                                              \
+                                                                                 \
+        ((input_type*)transform_fft_input_fut)[1] = 0;                           \
+        ((input_type*)transform_fft_input_fut)[fftlen + 0] = 0;                  \
+        ((input_type*)transform_fft_input_fut)[fftlen + 1] = 0;                  \
+        for(i=1;i<fftlen/2;i++)                                                  \
+        {                                                                        \
+           *((input_type*)transform_fft_input_fut + fftlen + 2*i + 0) =          \
+               *((input_type*)transform_fft_input_fut + fftlen - 2*i + 0);       \
+           *((input_type*)transform_fft_input_fut + fftlen + 2*i + 1) =          \
+               -(*((input_type*)transform_fft_input_fut + fftlen - 2*i + 1));    \
+                                                                                 \
+        }                                                                        \
+                                                                                 \
+        memcpy(                                                                  \
+            transform_fft_input_ref,                                             \
+            transform_fft_input_fut,                                             \
+            bytes * 2);                                                          \
+    } while (0)
+
+/**
+ * This macro copys data from the input_ptr into the in-place input arrays.
+ *
+ * Some functions modify their input data; in order to provide the same data to
+ * multiple tests, copies must be made so the changes from one function don't
+ * impact the others.
+ */
+#define TRANSFORM_PREPARE_INPLACE_INPUTS_DOWNSHIFT(input_ptr,       \
+                                         bytes,                     \
+                                         type)                      \
+    do                                                              \
+    {                                                               \
+        uint32_t i;                                                 \
+        memcpy(                                                     \
+            transform_fft_inplace_input_fut,                        \
+            input_ptr,                                              \
+            bytes);                                                 \
+        memcpy(                                                     \
+            transform_fft_inplace_input_ref,                        \
+            input_ptr,                                              \
+            bytes);                                                 \
+        for(i=0;i<bytes/sizeof(type);i++) {                         \
+            *((type*)transform_fft_inplace_input_fut + i) >>= 1;    \
+            *((type*)transform_fft_inplace_input_ref + i) >>= 1;}   \
+    } while (0)
+
+/**
+ * This macro copys data from the input_ptr into the in-place input arrays.
+ *
+ * Some functions modify their input data; in order to provide the same data to
+ * multiple tests, copies must be made so the changes from one function don't
+ * impact the others.
+ */
+#define TRANSFORM_PREPARE_INPLACE_INPUTS(input_ptr, \
+                                         bytes)     \
+    do                                              \
+    {                                               \
+        memcpy(                                     \
+            transform_fft_inplace_input_fut,        \
+            input_ptr,                              \
+            bytes);                                 \
+        memcpy(                                     \
+            transform_fft_inplace_input_ref,        \
+            input_ptr,                              \
+            bytes);                                 \
+    } while (0)
+
+
+#endif /* _TRANSFORM_TEMPLATES_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/transform_tests/transform_test_data.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/transform_tests/transform_test_data.h
new file mode 100644
index 0000000..bda5e12
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/transform_tests/transform_test_data.h
@@ -0,0 +1,48 @@
+#ifndef _TRANSFORM_TEST_DATA_H_
+#define _TRANSFORM_TEST_DATA_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Includes */
+/*--------------------------------------------------------------------------------*/
+
+#include "arr_desc.h"
+#include "arm_math.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+#define TRANSFORM_MAX_FFT_LEN 4096
+#define TRANFORM_BIGGEST_INPUT_TYPE float32_t
+
+/*--------------------------------------------------------------------------------*/
+/* Variable Declarations */
+/*--------------------------------------------------------------------------------*/
+
+/* Lengths are multiplied by 2 to accomodate complex numbers*/
+extern float32_t transform_fft_output_fut[TRANSFORM_MAX_FFT_LEN * 2];
+extern float32_t transform_fft_output_ref[TRANSFORM_MAX_FFT_LEN * 2];
+extern float32_t transform_fft_input_fut[TRANSFORM_MAX_FFT_LEN * 2];
+extern float32_t transform_fft_input_ref[TRANSFORM_MAX_FFT_LEN * 2];
+extern float32_t transform_fft_output_f32_fut[TRANSFORM_MAX_FFT_LEN * 2];
+extern float32_t transform_fft_output_f32_ref[TRANSFORM_MAX_FFT_LEN * 2];
+extern float32_t * transform_fft_inplace_input_fut;
+extern float32_t * transform_fft_inplace_input_ref;
+extern float32_t transform_fft_f32_inputs[TRANSFORM_MAX_FFT_LEN * 2];
+extern q31_t transform_fft_q31_inputs[TRANSFORM_MAX_FFT_LEN * 2];
+extern q15_t * transform_fft_q15_inputs;
+extern q15_t dct4_transform_fft_q15_inputs[TRANSFORM_MAX_FFT_LEN * 2];
+
+/* FFT Lengths */
+ARR_DESC_DECLARE(transform_radix2_fftlens);
+ARR_DESC_DECLARE(transform_radix4_fftlens);
+ARR_DESC_DECLARE(transform_rfft_fftlens);
+ARR_DESC_DECLARE(transform_rfft_fast_fftlens);
+ARR_DESC_DECLARE(transform_dct_fftlens);
+
+/* CFFT Structs */
+ARR_DESC_DECLARE(transform_cfft_f32_structs);
+ARR_DESC_DECLARE(transform_cfft_q31_structs);
+ARR_DESC_DECLARE(transform_cfft_q15_structs);
+
+#endif /* _TRANSFORM_TEST_DATA_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/transform_tests/transform_test_group.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/transform_tests/transform_test_group.h
new file mode 100644
index 0000000..c1c7c9e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/transform_tests/transform_test_group.h
@@ -0,0 +1,9 @@
+#ifndef _TRANSFORM_TEST_GROUP_H_
+#define _TRANSFORM_TEST_GROUP_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Declare Test Groups */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(transform_tests);
+
+#endif /* _TRANSFORM_TEST_GROUP_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/transform_tests/transform_tests.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/transform_tests/transform_tests.h
new file mode 100644
index 0000000..874c83f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/transform_tests/transform_tests.h
@@ -0,0 +1,13 @@
+#ifndef _TRANSFORM_TESTS_H_
+#define _TRANSFORM_TESTS_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Test/Group Declarations */
+/*--------------------------------------------------------------------------------*/
+JTEST_DECLARE_GROUP(cfft_tests);
+JTEST_DECLARE_GROUP(cfft_family_tests);
+JTEST_DECLARE_GROUP(dct4_tests);
+JTEST_DECLARE_GROUP(rfft_tests);
+JTEST_DECLARE_GROUP(rfft_fast_tests);
+
+#endif /* _TRANSFORM_TESTS_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/type_abbrev.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/type_abbrev.h
new file mode 100644
index 0000000..5909124
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/inc/type_abbrev.h
@@ -0,0 +1,37 @@
+#ifndef _TYPE_ABBREV_H_
+#define _TYPE_ABBREV_H_
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Expand the abbreviation for a type into the type itself.
+ */
+#define TYPE_FROM_ABBREV(abbrev)                \
+    TYPE_ABBREV_##abbrev                        \
+
+/**
+ *  Expand the type to an abbreviation for that type.
+ *
+ *  Inverse of #TYPE_FROM_ABBREV().
+ *
+ *  @note Should be able to get a type back by writing.
+ *  TYPE_FROM_ABBREV(ABBREV_FROM_TYPE(type))
+ */
+#define ABBREV_FROM_TYPE(type)                  \
+    TYPE_SUFFIX_##type
+
+#define TYPE_ABBREV_f64 float64_t
+#define TYPE_ABBREV_f32 float32_t
+#define TYPE_ABBREV_q31 q31_t
+#define TYPE_ABBREV_q15 q15_t
+#define TYPE_ABBREV_q7  q7_t
+
+#define TYPE_SUFFIX_float64_t f64
+#define TYPE_SUFFIX_float32_t f32
+#define TYPE_SUFFIX_q31_t q31
+#define TYPE_SUFFIX_q15_t q15
+#define TYPE_SUFFIX_q7_t q7
+
+#endif /* _TYPE_ABBREV_H_ */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCC/Retarget.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCC/Retarget.c
new file mode 100644
index 0000000..ffac3df
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCC/Retarget.c
@@ -0,0 +1,52 @@
+/*----------------------------------------------------------------------------
+ * Name:    Retarget.c
+ * Purpose: 'Retarget' layer for target-dependent low level functions
+ * Note(s):
+ *----------------------------------------------------------------------------
+ * This file is part of the uVision/ARM development tools.
+ * This software may only be used under the terms of a valid, current,
+ * end user licence from KEIL for a compatible version of KEIL software
+ * development tools. Nothing else gives you the right to use this software.
+ *
+ * This software is supplied "AS IS" without warranties of any kind.
+ *
+ * Copyright (c) 2011 Keil - An ARM Company. All rights reserved.
+ *----------------------------------------------------------------------------*/
+
+#include <stdio.h>
+#include <rt_misc.h>
+#include "Serial.h"
+
+#pragma import(__use_no_semihosting_swi)
+
+
+
+struct __FILE { int handle; /* Add whatever you need here */ };
+FILE __stdout;
+FILE __stdin;
+
+
+int fputc(int c, FILE *f) {
+  return (SER_PutChar(c));
+}
+
+
+int fgetc(FILE *f) {
+  return (SER_GetChar());
+}
+
+
+int ferror(FILE *f) {
+  /* Your implementation of ferror */
+  return EOF;
+}
+
+
+void _ttywrch(int c) {
+  SER_PutChar(c);
+}
+
+
+void _sys_exit(int return_code) {
+label:  goto label;  /* endless loop */
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCC/startup_armv6-m.s b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCC/startup_armv6-m.s
new file mode 100644
index 0000000..5c78027
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCC/startup_armv6-m.s
@@ -0,0 +1,111 @@
+;/* File: startup_armv6-m.s
+; * Purpose: startup file for armv7-m architecture devices.
+; *          Should be used with ARMCC
+; * Version: V2.00
+; * Date: 16 November 2015
+; *
+; */
+;/* Copyright (c) 2011 - 2014 ARM LIMITED
+;
+;   All rights reserved.
+;   Redistribution and use in source and binary forms, with or without
+;   modification, are permitted provided that the following conditions are met:
+;   - Redistributions of source code must retain the above copyright
+;     notice, this list of conditions and the following disclaimer.
+;   - Redistributions in binary form must reproduce the above copyright
+;     notice, this list of conditions and the following disclaimer in the
+;     documentation and/or other materials provided with the distribution.
+;   - Neither the name of ARM nor the names of its contributors may be used
+;     to endorse or promote products derived from this software without
+;     specific prior written permission.
+;   *
+;   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+;   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+;   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+;   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+;   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+;   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+;   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+;   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+;   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+;   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+;   POSSIBILITY OF SUCH DAMAGE.
+;   ---------------------------------------------------------------------------*/
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA    RESET, DATA, READONLY
+                IMPORT  ||Image$$ARM_LIB_STACK$$ZI$$Limit||
+                EXPORT  __Vectors
+                EXPORT  __Vectors_End
+                EXPORT  __Vectors_Size
+
+__Vectors       DCD     ||Image$$ARM_LIB_STACK$$ZI$$Limit||              ; Top of Stack
+                DCD     Reset_Handler             ; Reset Handler
+                DCD     NMI_Handler               ; NMI Handler
+                DCD     HardFault_Handler         ; Hard Fault Handler
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     SVC_Handler               ; SVCall Handler
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     PendSV_Handler            ; PendSV Handler
+                DCD     SysTick_Handler           ; SysTick Handler
+__Vectors_End
+
+__Vectors_Size  EQU     __Vectors_End - __Vectors
+
+                AREA    |.text|, CODE, READONLY
+
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT  Reset_Handler             [WEAK]
+                IMPORT  SystemInit
+                IMPORT  __main
+                LDR     R0, =SystemInit
+                BLX     R0
+                LDR     R0, =__main
+                BX      R0
+                ENDP
+
+
+; Dummy Exception Handlers (infinite loops which can be modified)
+
+NMI_Handler     PROC
+                EXPORT  NMI_Handler               [WEAK]
+                BKPT #0
+                B       .
+                ENDP
+HardFault_Handler\
+                PROC
+                EXPORT  HardFault_Handler         [WEAK]
+                BKPT #0
+                B       .
+                ENDP
+SVC_Handler     PROC
+                EXPORT  SVC_Handler               [WEAK]
+                B       .
+                ENDP
+PendSV_Handler  PROC
+                EXPORT  PendSV_Handler            [WEAK]
+                B       .
+                ENDP
+SysTick_Handler PROC
+                EXPORT  SysTick_Handler           [WEAK]
+                B       .
+                ENDP
+
+                ALIGN
+
+                END
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCC/startup_armv7-m.s b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCC/startup_armv7-m.s
new file mode 100644
index 0000000..11e5886
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCC/startup_armv7-m.s
@@ -0,0 +1,134 @@
+;/* File: startup_armv7-m.s
+; * Purpose: startup file for armv7-m architecture devices.
+; *          Should be used with ARMCC
+; * Version: V2.00
+; * Date: 16 November 2015
+; *
+; */
+;/* Copyright (c) 2011 - 2014 ARM LIMITED
+;
+;   All rights reserved.
+;   Redistribution and use in source and binary forms, with or without
+;   modification, are permitted provided that the following conditions are met:
+;   - Redistributions of source code must retain the above copyright
+;     notice, this list of conditions and the following disclaimer.
+;   - Redistributions in binary form must reproduce the above copyright
+;     notice, this list of conditions and the following disclaimer in the
+;     documentation and/or other materials provided with the distribution.
+;   - Neither the name of ARM nor the names of its contributors may be used
+;     to endorse or promote products derived from this software without
+;     specific prior written permission.
+;   *
+;   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+;   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+;   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+;   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+;   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+;   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+;   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+;   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+;   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+;   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+;   POSSIBILITY OF SUCH DAMAGE.
+;   ---------------------------------------------------------------------------*/
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA    RESET, DATA, READONLY
+                IMPORT  ||Image$$ARM_LIB_STACK$$ZI$$Limit||
+                EXPORT  __Vectors
+                EXPORT  __Vectors_End
+                EXPORT  __Vectors_Size
+
+__Vectors       DCD     ||Image$$ARM_LIB_STACK$$ZI$$Limit||              ; Top of Stack
+                DCD     Reset_Handler             ; Reset Handler
+                DCD     NMI_Handler               ; NMI Handler
+                DCD     HardFault_Handler         ; Hard Fault Handler
+                DCD     MemManage_Handler         ; MPU Fault Handler
+                DCD     BusFault_Handler          ; Bus Fault Handler
+                DCD     UsageFault_Handler        ; Usage Fault Handler
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     0                         ; Reserved
+                DCD     SVC_Handler               ; SVCall Handler
+                DCD     DebugMon_Handler          ; Debug Monitor Handler
+                DCD     0                         ; Reserved
+                DCD     PendSV_Handler            ; PendSV Handler
+                DCD     SysTick_Handler           ; SysTick Handler
+__Vectors_End
+
+__Vectors_Size  EQU     __Vectors_End - __Vectors
+
+                AREA    |.text|, CODE, READONLY
+
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT  Reset_Handler             [WEAK]
+                IMPORT  SystemInit
+                IMPORT  __main
+                LDR     R0, =SystemInit
+                BLX     R0
+                LDR     R0, =__main
+                BX      R0
+                ENDP
+
+
+; Dummy Exception Handlers (infinite loops which can be modified)
+
+NMI_Handler     PROC
+                EXPORT  NMI_Handler               [WEAK]
+                BKPT #0
+                B       .
+                ENDP
+HardFault_Handler\
+                PROC
+                EXPORT  HardFault_Handler         [WEAK]
+                BKPT #0
+                B       .
+                ENDP
+MemManage_Handler\
+                PROC
+                EXPORT  MemManage_Handler         [WEAK]
+                BKPT #0
+                B       .
+                ENDP
+BusFault_Handler\
+                PROC
+                EXPORT  BusFault_Handler          [WEAK]
+                BKPT #0
+                B       .
+                ENDP
+UsageFault_Handler\
+                PROC
+                EXPORT  UsageFault_Handler        [WEAK]
+                BKPT #0
+                B       .
+                ENDP
+SVC_Handler     PROC
+                EXPORT  SVC_Handler               [WEAK]
+                B       .
+                ENDP
+DebugMon_Handler\
+                PROC
+                EXPORT  DebugMon_Handler          [WEAK]
+                B       .
+                ENDP
+PendSV_Handler  PROC
+                EXPORT  PendSV_Handler            [WEAK]
+                B       .
+                ENDP
+SysTick_Handler PROC
+                EXPORT  SysTick_Handler           [WEAK]
+                B       .
+                ENDP
+
+                ALIGN
+
+                END
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCLANG/startup_armv6-m.S b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCLANG/startup_armv6-m.S
new file mode 100644
index 0000000..c87b893
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCLANG/startup_armv6-m.S
@@ -0,0 +1,127 @@
+/* File: startup_armv6-m.S
+ * Purpose: startup file for armv6-m architecture devices.
+ *          Should be used with ARMCLANG
+ * Version: V2.00
+ * Date: 16 November 2015
+ *
+ */
+/* Copyright (c) 2011 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+/*
+  ;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+*/
+
+
+    .syntax unified
+    .arch   armv6-m
+
+/* .eabi_attribute Tag_ABI_align8_preserved,1    www.support.code-red-tech.com/CodeRedWiki/Preserve8 */
+.eabi_attribute 25, 1   /* Tag_ABI_align_preserved */
+
+    .global    Image$$ARM_LIB_STACK$$ZI$$Limit
+
+
+    .section RESET, "x"
+    .align  2
+    .globl  __Vectors
+    .globl  __Vectors_End
+    .globl  __Vectors_Size
+__Vectors:
+    .long   Image$$ARM_LIB_STACK$$ZI$$Limit            /* Top of Stack */
+    .long   Reset_Handler         /* Reset Handler */
+    .long   NMI_Handler           /* NMI Handler */
+    .long   HardFault_Handler     /* Hard Fault Handler */
+    .long   0                     /* Reserved */
+    .long   0                     /* Reserved */
+    .long   0                     /* Reserved */
+    .long   0                     /* Reserved */
+    .long   0                     /* Reserved */
+    .long   0                     /* Reserved */
+    .long   0                     /* Reserved */
+    .long   SVC_Handler           /* SVCall Handler */
+    .long   0                     /* Reserved */
+    .long   0                     /* Reserved */
+    .long   PendSV_Handler        /* PendSV Handler */
+    .long   SysTick_Handler       /* SysTick Handler */
+__Vectors_End:
+
+    .equ    __Vectors_Size, __Vectors_End - __Vectors
+
+
+    .text
+    .thumb
+    .align  2
+
+    .globl  Reset_Handler
+    .weak   Reset_Handler
+    .type   Reset_Handler, %function
+    .thumb_func
+Reset_Handler:
+    bl      SystemInit
+    bl      __main
+
+    .globl  NMI_Handler
+    .weak   NMI_Handler
+    .type   NMI_Handler, %function
+    .thumb_func
+NMI_Handler:
+    bkpt    #0
+    b       .
+
+    .globl  HardFault_Handler
+    .weak   HardFault_Handler
+    .type   HardFault_Handler, %function
+    .thumb_func
+HardFault_Handler:
+    bkpt    #0
+    b       .
+
+    .globl  SVC_Handler
+    .weak   SVC_Handler
+    .type   SVC_Handler, %function
+    .thumb_func
+SVC_Handler:
+    bkpt    #0
+    b       .
+
+    .globl  PendSV_Handler
+    .weak   PendSV_Handler
+    .type   PendSV_Handler, %function
+    .thumb_func
+PendSV_Handler:
+    bkpt    #0
+    b       .
+
+    .globl  SysTick_Handler
+    .weak   SysTick_Handler
+    .type   SysTick_Handler, %function
+    .thumb_func
+SysTick_Handler:
+    bkpt    #0
+    b       .
+
+    .end
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCLANG/startup_armv7-m.S b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCLANG/startup_armv7-m.S
new file mode 100644
index 0000000..bf6c54e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/ARMCLANG/startup_armv7-m.S
@@ -0,0 +1,159 @@
+/* File: startup_armv7-m.S
+ * Purpose: startup file for armv7-m architecture devices.
+ *          Should be used with ARMCLANG
+ * Version: V2.00
+ * Date: 16 November 2015
+ *
+ */
+/* Copyright (c) 2011 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+/*
+  ;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+*/
+
+
+    .syntax unified
+    .arch   armv7-m
+
+/* .eabi_attribute Tag_ABI_align8_preserved,1    www.support.code-red-tech.com/CodeRedWiki/Preserve8 */
+.eabi_attribute 25, 1   /* Tag_ABI_align_preserved */
+
+    .global    Image$$ARM_LIB_STACK$$ZI$$Limit
+
+
+    .section RESET, "x"
+    .align  2
+    .globl  __Vectors
+    .globl  __Vectors_End
+    .globl  __Vectors_Size
+__Vectors:
+    .long   Image$$ARM_LIB_STACK$$ZI$$Limit            /* Top of Stack */
+    .long   Reset_Handler         /* Reset Handler */
+    .long   NMI_Handler           /* NMI Handler */
+    .long   HardFault_Handler     /* Hard Fault Handler */
+    .long   MemManage_Handler     /* MPU Fault Handler */
+    .long   BusFault_Handler      /* Bus Fault Handler */
+    .long   UsageFault_Handler    /* Usage Fault Handler */
+    .long   0                     /* Reserved */
+    .long   0                     /* Reserved */
+    .long   0                     /* Reserved */
+    .long   0                     /* Reserved */
+    .long   SVC_Handler           /* SVCall Handler */
+    .long   DebugMon_Handler      /* Debug Monitor Handler */
+    .long   0                     /* Reserved */
+    .long   PendSV_Handler        /* PendSV Handler */
+    .long   SysTick_Handler       /* SysTick Handler */
+__Vectors_End:
+
+    .equ    __Vectors_Size, __Vectors_End - __Vectors
+
+
+    .text
+    .thumb
+    .align  2
+
+    .globl  Reset_Handler
+    .weak   Reset_Handler
+    .type   Reset_Handler, %function
+    .thumb_func
+Reset_Handler:
+    bl      SystemInit
+    bl      __main
+
+    .globl  NMI_Handler
+    .weak   NMI_Handler
+    .type   NMI_Handler, %function
+    .thumb_func
+NMI_Handler:
+    bkpt    #0
+    b       .
+
+    .globl  HardFault_Handler
+    .weak   HardFault_Handler
+    .type   HardFault_Handler, %function
+    .thumb_func
+HardFault_Handler:
+    bkpt    #0
+    b       .
+
+    .globl  MemManage_Handler
+    .weak   MemManage_Handler
+    .type   MemManage_Handler, %function
+    .thumb_func
+MemManage_Handler:
+    bkpt    #0
+    b       .
+
+    .globl  BusFault_Handler
+    .weak   BusFault_Handler
+    .type   BusFault_Handler, %function
+    .thumb_func
+BusFault_Handler:
+    bkpt    #0
+    b       .
+
+    .globl  UsageFault_Handler
+    .weak   UsageFault_Handler
+    .type   UsageFault_Handler, %function
+    .thumb_func
+UsageFault_Handler:
+    bkpt    #0
+    b       .
+
+    .globl  SVC_Handler
+    .weak   SVC_Handler
+    .type   SVC_Handler, %function
+    .thumb_func
+SVC_Handler:
+    bkpt    #0
+    b       .
+
+    .globl  DebugMon_Handler
+    .weak   DebugMon_Handler
+    .type   DebugMon_Handler, %function
+    .thumb_func
+DebugMon_Handler:
+    bkpt    #0
+    b       .
+
+    .globl  PendSV_Handler
+    .weak   PendSV_Handler
+    .type   PendSV_Handler, %function
+    .thumb_func
+PendSV_Handler:
+    bkpt    #0
+    b       .
+
+    .globl  SysTick_Handler
+    .weak   SysTick_Handler
+    .type   SysTick_Handler, %function
+    .thumb_func
+SysTick_Handler:
+    bkpt    #0
+    b       .
+
+    .end
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/GCC/Retarget.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/GCC/Retarget.c
new file mode 100644
index 0000000..0ab6c13
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/GCC/Retarget.c
@@ -0,0 +1,106 @@
+/*----------------------------------------------------------------------------
+ * Name:    Retarget.c
+ * Purpose: 'Retarget' layer for target-dependent low level functions
+ * Note(s):
+ *----------------------------------------------------------------------------
+ * This file is part of the uVision/ARM development tools.
+ * This software may only be used under the terms of a valid, current,
+ * end user licence from KEIL for a compatible version of KEIL software
+ * development tools. Nothing else gives you the right to use this software.
+ *
+ * This software is supplied "AS IS" without warranties of any kind.
+ *
+ * Copyright (c) 2012 Keil - An ARM Company. All rights reserved.
+ *----------------------------------------------------------------------------*/
+
+#include <sys/stat.h>
+#include <string.h>
+#include <errno.h>
+
+int SER_PutChar (int c) {
+
+  return (c);
+}
+
+int SER_GetChar (void) {
+
+  return (-1);
+}
+
+/*-- GCC - Newlib runtime support --------------------------------------------*/
+
+extern int  __HeapBase;
+extern int  __HeapLimit;
+
+int _open (const char * path, int flags, ...) 
+{
+  return (-1);
+}
+
+int _close (int fd) 
+{
+  return (-1);
+}
+
+int _lseek (int fd, int ptr, int dir) 
+{
+  return (0);
+}
+
+int __attribute__((weak)) _fstat (int fd, struct stat * st) 
+{
+  memset (st, 0, sizeof (* st));
+  st->st_mode = S_IFCHR;
+  return (0);
+}
+
+int _isatty (int fd) 
+{
+  return (1);
+}
+
+int _read (int fd, char * ptr, int len) 
+{
+  char c;
+  int  i;
+
+  for (i = 0; i < len; i++) 
+  {
+    c = SER_GetChar();
+    if (c == 0x0D) break;
+    *ptr++ = c;
+    SER_PutChar(c);
+  }
+  return (len - i);
+}
+
+int _write (int fd, char * ptr, int len) 
+{
+  int i;
+
+  for (i = 0; i < len; i++) SER_PutChar (*ptr++);
+  return (i);
+}
+
+caddr_t _sbrk (int incr) 
+{
+  static char * heap;
+         char * prev_heap;
+
+  if (heap == NULL) 
+  {
+    heap = (char *)&__HeapBase;
+  }
+  
+  prev_heap = heap;
+
+  if ((heap + incr) > (char *)&__HeapLimit) 
+  {
+    errno = ENOMEM;
+    return (caddr_t) -1;
+  }
+  
+  heap += incr;
+
+  return (caddr_t) prev_heap;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/GCC/startup_armv6-m.S b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/GCC/startup_armv6-m.S
new file mode 100644
index 0000000..c928912
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/GCC/startup_armv6-m.S
@@ -0,0 +1,263 @@
+/* File: startup_armv6-m.S
+ * Purpose: startup file for armv6-m architecture devices.
+ *          Should be used with GCC for ARM Embedded Processors
+ * Version: V2.00
+ * Date: 16 November 2015
+ *
+ */
+/* Copyright (c) 2011 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+	.syntax	unified
+	.arch	armv6-m
+
+	.section .stack
+	.align	3
+#ifdef __STACK_SIZE
+	.equ	Stack_Size, __STACK_SIZE
+#else
+	.equ	Stack_Size, 0x00000400
+#endif
+	.globl	__StackTop
+	.globl	__StackLimit
+__StackLimit:
+	.space	Stack_Size
+	.size	__StackLimit, . - __StackLimit
+__StackTop:
+	.size	__StackTop, . - __StackTop
+
+	.section .heap
+	.align	3
+#ifdef __HEAP_SIZE
+	.equ	Heap_Size, __HEAP_SIZE
+#else
+	.equ	Heap_Size, 0x00000C00
+#endif
+	.globl	__HeapBase
+	.globl	__HeapLimit
+__HeapBase:
+	.if	Heap_Size
+	.space	Heap_Size
+	.endif
+	.size	__HeapBase, . - __HeapBase
+__HeapLimit:
+	.size	__HeapLimit, . - __HeapLimit
+
+	.section .vectors
+	.align 2
+	.globl	__Vectors
+__Vectors:
+	.long	__StackTop            /* Top of Stack */
+	.long	Reset_Handler         /* Reset Handler */
+	.long	NMI_Handler           /* NMI Handler */
+	.long	HardFault_Handler     /* Hard Fault Handler */
+	.long	0                     /* Reserved */
+	.long	0                     /* Reserved */
+	.long	0                     /* Reserved */
+	.long	0                     /* Reserved */
+	.long	0                     /* Reserved */
+	.long	0                     /* Reserved */
+	.long	0                     /* Reserved */
+	.long	SVC_Handler           /* SVCall Handler */
+	.long	0                     /* Reserved */
+	.long	0                     /* Reserved */
+	.long	PendSV_Handler        /* PendSV Handler */
+	.long	SysTick_Handler       /* SysTick Handler */
+
+	.size	__Vectors, . - __Vectors
+
+	.text
+	.thumb
+	.thumb_func
+	.align	1
+	.globl	Reset_Handler
+	.type	Reset_Handler, %function
+Reset_Handler:
+/*  Firstly it copies data from read only memory to RAM. There are two schemes
+ *  to copy. One can copy more than one sections. Another can only copy
+ *  one section.  The former scheme needs more instructions and read-only
+ *  data to implement than the latter.
+ *  Macro __STARTUP_COPY_MULTIPLE is used to choose between two schemes.  */
+
+#ifdef __STARTUP_COPY_MULTIPLE
+/*  Multiple sections scheme.
+ *
+ *  Between symbol address __copy_table_start__ and __copy_table_end__,
+ *  there are array of triplets, each of which specify:
+ *    offset 0: LMA of start of a section to copy from
+ *    offset 4: VMA of start of a section to copy to
+ *    offset 8: size of the section to copy. Must be multiply of 4
+ *
+ *  All addresses must be aligned to 4 bytes boundary.
+ */
+	ldr	r4, =__copy_table_start__
+	ldr	r5, =__copy_table_end__
+
+.L_loop0:
+	cmp	r4, r5
+	bge	.L_loop0_done
+	ldr	r1, [r4]
+	ldr	r2, [r4, #4]
+	ldr	r3, [r4, #8]
+
+.L_loop0_0:
+	subs	r3, #4
+	blt	.L_loop0_0_done
+	ldr	r0, [r1, r3]
+	str	r0, [r2, r3]
+	b	.L_loop0_0
+
+.L_loop0_0_done:
+	adds	r4, #12
+	b	.L_loop0
+
+.L_loop0_done:
+#else
+/*  Single section scheme.
+ *
+ *  The ranges of copy from/to are specified by following symbols
+ *    __etext: LMA of start of the section to copy from. Usually end of text
+ *    __data_start__: VMA of start of the section to copy to
+ *    __data_end__: VMA of end of the section to copy to
+ *
+ *  All addresses must be aligned to 4 bytes boundary.
+ */
+	ldr	r1, =__etext
+	ldr	r2, =__data_start__
+	ldr	r3, =__data_end__
+
+	subs	r3, r2
+	ble	.L_loop1_done
+
+.L_loop1:
+	subs	r3, #4
+	ldr	r0, [r1,r3]
+	str	r0, [r2,r3]
+	bgt	.L_loop1
+
+.L_loop1_done:
+#endif /*__STARTUP_COPY_MULTIPLE */
+
+/*  This part of work usually is done in C library startup code. Otherwise,
+ *  define this macro to enable it in this startup.
+ *
+ *  There are two schemes too. One can clear multiple BSS sections. Another
+ *  can only clear one section. The former is more size expensive than the
+ *  latter.
+ *
+ *  Define macro __STARTUP_CLEAR_BSS_MULTIPLE to choose the former.
+ *  Otherwise efine macro __STARTUP_CLEAR_BSS to choose the later.
+ */
+#ifdef __STARTUP_CLEAR_BSS_MULTIPLE
+/*  Multiple sections scheme.
+ *
+ *  Between symbol address __copy_table_start__ and __copy_table_end__,
+ *  there are array of tuples specifying:
+ *    offset 0: Start of a BSS section
+ *    offset 4: Size of this BSS section. Must be multiply of 4
+ */
+	ldr	r3, =__zero_table_start__
+	ldr	r4, =__zero_table_end__
+
+.L_loop2:
+	cmp	r3, r4
+	bge	.L_loop2_done
+	ldr	r1, [r3]
+	ldr	r2, [r3, #4]
+	movs	r0, 0
+
+.L_loop2_0:
+	subs	r2, #4
+	blt	.L_loop2_0_done
+	str	r0, [r1, r2]
+	b	.L_loop2_0
+.L_loop2_0_done:
+
+	adds	r3, #8
+	b	.L_loop2
+.L_loop2_done:
+#elif defined (__STARTUP_CLEAR_BSS)
+/*  Single BSS section scheme.
+ *
+ *  The BSS section is specified by following symbols
+ *    __bss_start__: start of the BSS section.
+ *    __bss_end__: end of the BSS section.
+ *
+ *  Both addresses must be aligned to 4 bytes boundary.
+ */
+	ldr	r1, =__bss_start__
+	ldr	r2, =__bss_end__
+
+	movs	r0, 0
+
+	subs	r2, r1
+	ble	.L_loop3_done
+
+.L_loop3:
+	subs	r2, #4
+	str	r0, [r1, r2]
+	bgt	.L_loop3
+.L_loop3_done:
+#endif /* __STARTUP_CLEAR_BSS_MULTIPLE || __STARTUP_CLEAR_BSS */
+
+#ifndef __NO_SYSTEM_INIT
+	bl	SystemInit
+#endif
+
+#ifndef __START
+#define __START _start
+#endif
+	bl	__START
+
+	.pool
+	.size	Reset_Handler, . - Reset_Handler
+
+	.align	1
+	.thumb_func
+	.weak	Default_Handler
+	.type	Default_Handler, %function
+Default_Handler:
+    bkpt #0
+	b	.
+	.size	Default_Handler, . - Default_Handler
+
+/*    Macro to define default handlers. Default handler
+ *    will be weak symbol and just dead loops. They can be
+ *    overwritten by other handlers */
+	.macro	def_irq_handler	handler_name
+	.weak	\handler_name
+	.set	\handler_name, Default_Handler
+	.endm
+
+	def_irq_handler	NMI_Handler
+	def_irq_handler	HardFault_Handler
+	def_irq_handler	SVC_Handler
+	def_irq_handler	PendSV_Handler
+	def_irq_handler	SysTick_Handler
+
+	.end
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/GCC/startup_armv7-m.S b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/GCC/startup_armv7-m.S
new file mode 100644
index 0000000..2320877
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/GCC/startup_armv7-m.S
@@ -0,0 +1,257 @@
+/* File: startup_armv7-m.S
+ * Purpose: startup file for armv7-m architecture devices.
+ *          Should be used with GCC for ARM Embedded Processors
+ * Version: V2.00
+ * Date: 16 November 2015
+ *
+ */
+/* Copyright (c) 2011 - 2015 ARM LIMITED
+
+   All rights reserved.
+   Redistribution and use in source and binary forms, with or without
+   modification, are permitted provided that the following conditions are met:
+   - Redistributions of source code must retain the above copyright
+     notice, this list of conditions and the following disclaimer.
+   - Redistributions in binary form must reproduce the above copyright
+     notice, this list of conditions and the following disclaimer in the
+     documentation and/or other materials provided with the distribution.
+   - Neither the name of ARM nor the names of its contributors may be used
+     to endorse or promote products derived from this software without
+     specific prior written permission.
+   *
+   THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+   AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+   ARE DISCLAIMED. IN NO EVENT SHALL COPYRIGHT HOLDERS AND CONTRIBUTORS BE
+   LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+   CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+   SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+   INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+   CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+   ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+   POSSIBILITY OF SUCH DAMAGE.
+   ---------------------------------------------------------------------------*/
+
+
+	.syntax	unified
+	.arch	armv7-m
+
+	.section .stack
+	.align	3
+#ifdef __STACK_SIZE
+	.equ	Stack_Size, __STACK_SIZE
+#else
+	.equ	Stack_Size, 0x00000400
+#endif
+	.globl	__StackTop
+	.globl	__StackLimit
+__StackLimit:
+	.space	Stack_Size
+	.size	__StackLimit, . - __StackLimit
+__StackTop:
+	.size	__StackTop, . - __StackTop
+
+	.section .heap
+	.align	3
+#ifdef __HEAP_SIZE
+	.equ	Heap_Size, __HEAP_SIZE
+#else
+	.equ	Heap_Size, 0x00000C00
+#endif
+	.globl	__HeapBase
+	.globl	__HeapLimit
+__HeapBase:
+	.if	Heap_Size
+	.space	Heap_Size
+	.endif
+	.size	__HeapBase, . - __HeapBase
+__HeapLimit:
+	.size	__HeapLimit, . - __HeapLimit
+
+	.section .vectors
+	.align	2
+	.globl	__Vectors
+__Vectors:
+	.long	__StackTop            /* Top of Stack */
+	.long	Reset_Handler         /* Reset Handler */
+	.long	NMI_Handler           /* NMI Handler */
+	.long	HardFault_Handler     /* Hard Fault Handler */
+	.long	MemManage_Handler     /* MPU Fault Handler */
+	.long	BusFault_Handler      /* Bus Fault Handler */
+	.long	UsageFault_Handler    /* Usage Fault Handler */
+	.long	0                     /* Reserved */
+	.long	0                     /* Reserved */
+	.long	0                     /* Reserved */
+	.long	0                     /* Reserved */
+	.long	SVC_Handler           /* SVCall Handler */
+	.long	DebugMon_Handler      /* Debug Monitor Handler */
+	.long	0                     /* Reserved */
+	.long	PendSV_Handler        /* PendSV Handler */
+	.long	SysTick_Handler       /* SysTick Handler */
+
+	.size	__Vectors, . - __Vectors
+
+	.text
+	.thumb
+	.thumb_func
+	.align	2
+	.globl	Reset_Handler
+	.type	Reset_Handler, %function
+Reset_Handler:
+/*  Firstly it copies data from read only memory to RAM. There are two schemes
+ *  to copy. One can copy more than one sections. Another can only copy
+ *  one section.  The former scheme needs more instructions and read-only
+ *  data to implement than the latter.
+ *  Macro __STARTUP_COPY_MULTIPLE is used to choose between two schemes.  */
+
+#ifdef __STARTUP_COPY_MULTIPLE
+/*  Multiple sections scheme.
+ *
+ *  Between symbol address __copy_table_start__ and __copy_table_end__,
+ *  there are array of triplets, each of which specify:
+ *    offset 0: LMA of start of a section to copy from
+ *    offset 4: VMA of start of a section to copy to
+ *    offset 8: size of the section to copy. Must be multiply of 4
+ *
+ *  All addresses must be aligned to 4 bytes boundary.
+ */
+	ldr	r4, =__copy_table_start__
+	ldr	r5, =__copy_table_end__
+
+.L_loop0:
+	cmp	r4, r5
+	bge	.L_loop0_done
+	ldr	r1, [r4]
+	ldr	r2, [r4, #4]
+	ldr	r3, [r4, #8]
+
+.L_loop0_0:
+	subs	r3, #4
+	ittt	ge
+	ldrge	r0, [r1, r3]
+	strge	r0, [r2, r3]
+	bge	.L_loop0_0
+
+	adds	r4, #12
+	b	.L_loop0
+
+.L_loop0_done:
+#else
+/*  Single section scheme.
+ *
+ *  The ranges of copy from/to are specified by following symbols
+ *    __etext: LMA of start of the section to copy from. Usually end of text
+ *    __data_start__: VMA of start of the section to copy to
+ *    __data_end__: VMA of end of the section to copy to
+ *
+ *  All addresses must be aligned to 4 bytes boundary.
+ */
+	ldr	r1, =__etext
+	ldr	r2, =__data_start__
+	ldr	r3, =__data_end__
+
+.L_loop1:
+	cmp	r2, r3
+	ittt	lt
+	ldrlt	r0, [r1], #4
+	strlt	r0, [r2], #4
+	blt	.L_loop1
+#endif /*__STARTUP_COPY_MULTIPLE */
+
+/*  This part of work usually is done in C library startup code. Otherwise,
+ *  define this macro to enable it in this startup.
+ *
+ *  There are two schemes too. One can clear multiple BSS sections. Another
+ *  can only clear one section. The former is more size expensive than the
+ *  latter.
+ *
+ *  Define macro __STARTUP_CLEAR_BSS_MULTIPLE to choose the former.
+ *  Otherwise efine macro __STARTUP_CLEAR_BSS to choose the later.
+ */
+#ifdef __STARTUP_CLEAR_BSS_MULTIPLE
+/*  Multiple sections scheme.
+ *
+ *  Between symbol address __copy_table_start__ and __copy_table_end__,
+ *  there are array of tuples specifying:
+ *    offset 0: Start of a BSS section
+ *    offset 4: Size of this BSS section. Must be multiply of 4
+ */
+	ldr	r3, =__zero_table_start__
+	ldr	r4, =__zero_table_end__
+
+.L_loop2:
+	cmp	r3, r4
+	bge	.L_loop2_done
+	ldr	r1, [r3]
+	ldr	r2, [r3, #4]
+	movs	r0, 0
+
+.L_loop2_0:
+	subs	r2, #4
+	itt	ge
+	strge	r0, [r1, r2]
+	bge	.L_loop2_0
+
+	adds	r3, #8
+	b	.L_loop2
+.L_loop2_done:
+#elif defined (__STARTUP_CLEAR_BSS)
+/*  Single BSS section scheme.
+ *
+ *  The BSS section is specified by following symbols
+ *    __bss_start__: start of the BSS section.
+ *    __bss_end__: end of the BSS section.
+ *
+ *  Both addresses must be aligned to 4 bytes boundary.
+ */
+	ldr	r1, =__bss_start__
+	ldr	r2, =__bss_end__
+
+	movs	r0, 0
+.L_loop3:
+	cmp	r1, r2
+	itt	lt
+	strlt	r0, [r1], #4
+	blt	.L_loop3
+#endif /* __STARTUP_CLEAR_BSS_MULTIPLE || __STARTUP_CLEAR_BSS */
+
+#ifndef __NO_SYSTEM_INIT
+	bl	SystemInit
+#endif
+
+#ifndef __START
+#define __START _start
+#endif
+	bl	__START
+
+	.pool
+	.size	Reset_Handler, . - Reset_Handler
+
+	.align	1
+	.thumb_func
+	.weak	Default_Handler
+	.type	Default_Handler, %function
+Default_Handler:
+    bkpt #0
+	b	.
+	.size	Default_Handler, . - Default_Handler
+
+/*    Macro to define default handlers. Default handler
+ *    will be weak symbol and just dead loops. They can be
+ *    overwritten by other handlers */
+	.macro	def_irq_handler	handler_name
+	.weak	\handler_name
+	.set	\handler_name, Default_Handler
+	.endm
+
+	def_irq_handler	NMI_Handler
+	def_irq_handler	HardFault_Handler
+	def_irq_handler	MemManage_Handler
+	def_irq_handler	BusFault_Handler
+	def_irq_handler	UsageFault_Handler
+	def_irq_handler	SVC_Handler
+	def_irq_handler	DebugMon_Handler
+	def_irq_handler	PendSV_Handler
+	def_irq_handler	SysTick_Handler
+
+	.end
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/startup_generic.S b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/startup_generic.S
new file mode 100644
index 0000000..b8d454e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/startup_generic.S
@@ -0,0 +1,68 @@
+
+#if defined (__CC_ARM)
+  #if   (defined (ARMCM0))
+    #include "ARMCC\startup_armv6-m.s"
+  #elif (defined (ARMCM0P) || defined (ARMCM0P_MPU))
+    #include "ARMCC\startup_armv6-m.s"
+  #elif (defined (ARMCM3))
+    #include "ARMCC\startup_armv7-m.s"
+  #elif (defined (ARMCM4) || defined (ARMCM4_FP))
+    #include "ARMCC\startup_armv7-m.s"
+  #elif (defined (ARMCM7) || defined (ARMCM7_SP) || defined (ARMCM7_DP))
+    #include "ARMCC\startup_armv7-m.s"
+  #elif (defined (ARMv8MBL))
+    #include "ARMCC\startup_armv6-m.s"
+  #elif (defined (ARMv8MML)    || defined (ARMv8MML_DSP)    || \
+         defined (ARMv8MML_SP) || defined (ARMv8MML_DSP_SP) || \
+         defined (ARMv8MML_DP) || defined (ARMv8MML_DSP_DP)   )
+    #include "ARMCC\startup_armv7-m.s"
+  #else
+    #error "No appropriate startup file found!"
+  #endif
+
+#elif defined (__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050)
+  #if   (defined (ARMCM0))
+    #include "ARMCLANG\startup_armv6-m.S"
+  #elif (defined (ARMCM0P) || defined (ARMCM0P_MPU))
+    #include "ARMCLANG\startup_armv6-m.S"
+  #elif (defined (ARMCM3))
+    #include "ARMCLANG\startup_armv7-m.S"
+  #elif (defined (ARMCM4) || defined (ARMCM4_FP))
+    #include "ARMCLANG\startup_armv7-m.S"
+  #elif (defined (ARMCM7) || defined (ARMCM7_SP) || defined (ARMCM7_DP))
+    #include "ARMCLANG\startup_armv7-m.S"
+  #elif (defined (ARMv8MBL))
+    #include "ARMCLANG\startup_armv6-m.S"
+  #elif (defined (ARMv8MML)    || defined (ARMv8MML_DSP)    || \
+         defined (ARMv8MML_SP) || defined (ARMv8MML_DSP_SP) || \
+         defined (ARMv8MML_DP) || defined (ARMv8MML_DSP_DP)   )
+    #include "ARMCLANG\startup_armv7-m.S"
+  #else
+    #error "No appropriate startup file found!"
+  #endif
+
+#elif defined (__GNUC__)
+  #if   (defined (ARMCM0))
+    #include "GCC\startup_armv6-m.S"
+  #elif (defined (ARMCM0P) || defined (ARMCM0P_MPU))
+    #include "GCC\startup_armv6-m.S"
+  #elif (defined (ARMCM3))
+    #include "GCC\startup_armv7-m.S"
+  #elif (defined (ARMCM4) || defined (ARMCM4_FP))
+    #include "GCC\startup_armv7-m.S"
+  #elif (defined (ARMCM7) || defined (ARMCM7_SP) || defined (ARMCM7_DP))
+    #include "GCC\startup_armv7-m.S"
+  #elif (defined (ARMv8MBL))
+    #include "GCC\startup_armv6-m.S"
+  #elif (defined (ARMv8MML)    || defined (ARMv8MML_DSP)    || \
+         defined (ARMv8MML_SP) || defined (ARMv8MML_DSP_SP) || \
+         defined (ARMv8MML_DP) || defined (ARMv8MML_DSP_DP)   )
+    #include "GCC\startup_armv7-m.S"
+  #else
+    #error "No appropriate startup file found!"
+  #endif
+
+#else
+  #error "Compiler not supported!"
+#endif
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM0.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM0.c
new file mode 100644
index 0000000..b272255
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM0.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device Series
+ * @version  V5.00
+ * @date     07. September 2016
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2016 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            ( 5000000UL)      /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (5U * XTAL)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM23.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM23.c
new file mode 100644
index 0000000..791ee34
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM23.c
@@ -0,0 +1,82 @@
+/**************************************************************************//**
+ * @file     system_ARMCM23.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM23 Device Series
+ * @version  V5.00
+ * @date     21. October 2016
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2016 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM23)
+  #include "ARMCM23.h"
+#elif defined (ARMCM23_TZ)
+  #include "ARMCM23_TZ.h"
+
+  #if defined (__ARM_FEATURE_CMSE) &&  (__ARM_FEATURE_CMSE == 3U)
+    #include "partition_ARMCM23.h"
+  #endif
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            ( 5000000UL)      /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (5U * XTAL)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3U)
+  TZ_SAU_Setup();
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM3.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM3.c
new file mode 100644
index 0000000..2544c43
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM3.c
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device Series
+ * @version  V5.00
+ * @date     07. September 2016
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2016 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            ( 5000000UL)      /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (5U * XTAL)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM33.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM33.c
new file mode 100644
index 0000000..287119c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM33.c
@@ -0,0 +1,99 @@
+/**************************************************************************//**
+ * @file     system_ARMCM33.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM33 Device Series
+ * @version  V5.00
+ * @date     02. November 2016
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2016 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM33)
+  #include "ARMCM33.h"
+#elif defined (ARMCM33_TZ)
+  #include "ARMCM33_TZ.h"
+
+  #if defined (__ARM_FEATURE_CMSE) &&  (__ARM_FEATURE_CMSE == 3U)
+    #include "partition_ARMCM33.h"
+  #endif
+#elif defined (ARMCM33_DSP_FP)
+  #include "ARMCM33_DSP_FP.h"
+#elif defined (ARMCM33_DSP_FP_TZ)
+  #include "ARMCM33_DSP_FP_TZ.h"
+
+  #if defined (__ARM_FEATURE_CMSE) &&  (__ARM_FEATURE_CMSE == 3U)
+    #include "partition_ARMCM33.h"
+  #endif
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            ( 5000000UL)      /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (5U * XTAL)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* set CP10 Full Access */
+                 (3U << 11U*2U)  );         /* set CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3U)
+  TZ_SAU_Setup();
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM4.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM4.c
new file mode 100644
index 0000000..cea212e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM4.c
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device Series
+ * @version  V5.00
+ * @date     07. September 2016
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2016 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            ( 5000000UL)      /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (5U * XTAL)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* set CP10 Full Access */
+                 (3U << 11U*2U)  );         /* set CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM7.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM7.c
new file mode 100644
index 0000000..6a99c08
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMCM7.c
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device Series
+ * @version  V5.00
+ * @date     07. September 2016
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2016 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            ( 5000000UL)      /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (5U * XTAL)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* set CP10 Full Access */
+                 (3U << 11U*2U)  );         /* set CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMSC000.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMSC000.c
new file mode 100644
index 0000000..7fda345
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMSC000.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMSC000.c
+ * @brief    CMSIS Device System Source File for
+ *           for ARMSC000 Device Series
+ * @version  V5.00
+ * @date     07. September 2016
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2016 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMSC000.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            ( 5000000UL)      /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (5U * XTAL)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMSC300.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMSC300.c
new file mode 100644
index 0000000..3db4ee7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMSC300.c
@@ -0,0 +1,72 @@
+/**************************************************************************//**
+ * @file     system_ARMSC300.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMSC300 Device Series
+ * @version  V5.00
+ * @date     07. September 2016
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2016 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMSC300.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            ( 5000000UL)      /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (5U * XTAL)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMv8MBL.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMv8MBL.c
new file mode 100644
index 0000000..8310b8f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMv8MBL.c
@@ -0,0 +1,76 @@
+/**************************************************************************//**
+ * @file     system_ARMv8MBL.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMv8MBL Device Series
+ * @version  V5.00
+ * @date     07. September 2016
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2016 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMv8MBL.h"
+
+#if defined (__ARM_FEATURE_CMSE) &&  (__ARM_FEATURE_CMSE == 3U)
+  #include "partition_ARMv8MBL.h"
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            ( 5000000UL)      /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (5U * XTAL)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3U)
+  TZ_SAU_Setup();
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMv8MML.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMv8MML.c
new file mode 100644
index 0000000..bd77100
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_ARMv8MML.c
@@ -0,0 +1,99 @@
+/**************************************************************************//**
+ * @file     system_ARMv8MML.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMv8MML Device Series
+ * @version  V5.00
+ * @date     02. November 2016
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2016 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMv8MML)
+  #include "ARMv8MML.h"
+#elif defined (ARMv8MML_DSP)
+  #include "ARMv8MML_DSP.h"
+#elif defined (ARMv8MML_SP)
+  #include "ARMv8MML_SP.h"
+#elif defined (ARMv8MML_DSP_SP)
+  #include "ARMv8MML_DSP_SP.h"
+#elif defined (ARMv8MML_DP)
+  #include "ARMv8MML_DP.h"
+#elif defined (ARMv8MML_DSP_DP)
+  #include "ARMv8MML_DSP_DP.h"
+#else
+  #error device not specified!
+#endif
+
+#if defined (__ARM_FEATURE_CMSE) &&  (__ARM_FEATURE_CMSE == 3U)
+  #include "partition_ARMv8MML.h"
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            ( 5000000UL)      /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (5U * XTAL)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* set CP10 Full Access */
+                 (3U << 11U*2U)  );         /* set CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+#if defined (__ARM_FEATURE_CMSE) && (__ARM_FEATURE_CMSE == 3U)
+  TZ_SAU_Setup();
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_generic.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_generic.c
new file mode 100644
index 0000000..37d82ab
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/platform/system_generic.c
@@ -0,0 +1,27 @@
+
+#if   (defined (ARMCM0))
+  #include "system_ARMCM0.c"
+
+#elif (defined (ARMCM0P))
+  #include "system_ARMCM0plus.c"
+
+#elif (defined (ARMCM3))
+  #include "system_ARMCM3.c"
+
+#elif (defined (ARMCM4) || defined (ARMCM4_FP))
+  #include "system_ARMCM4.c"
+
+#elif (defined (ARMCM7) || defined (ARMCM7_SP) || defined (ARMCM7_DP))
+  #include "system_ARMCM7.c"
+
+#elif defined (ARMv8MBL)
+  #include "system_ARMv8MBL.c"
+
+#elif (defined (ARMv8MML)    || defined (ARMv8MML_DSP)    || \
+       defined (ARMv8MML_SP) || defined (ARMv8MML_DSP_SP) || \
+       defined (ARMv8MML_DP) || defined (ARMv8MML_DSP_DP)   )
+  #include "system_ARMv8MML.c"
+
+#else
+  #error "No appropriate system file found!"
+#endif
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/all_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/all_tests.c
new file mode 100644
index 0000000..1e471f9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/all_tests.c
@@ -0,0 +1,62 @@
+#include "jtest.h"
+#include "basic_math_test_group.h"
+#include "complex_math_test_group.h"
+#include "controller_test_group.h"
+#include "fast_math_test_group.h"
+#include "filtering_test_group.h"
+#include "matrix_test_group.h"
+#include "statistics_test_group.h"
+#include "support_test_group.h"
+#include "transform_test_group.h"
+#include "intrinsics_test_group.h"
+
+JTEST_DEFINE_GROUP(all_tests)
+{
+  /*
+    To skip a test, comment it out
+  */
+#if !defined(CUSTOMIZE_TESTS) || defined(ENABLE_BASICMATH_TESTS)
+  JTEST_GROUP_CALL(basic_math_tests);
+#endif 
+
+#if !defined(CUSTOMIZE_TESTS) || defined(ENABLE_COMPLEXMATH_TESTS)
+  JTEST_GROUP_CALL(complex_math_tests);
+#endif
+
+#if !defined(CUSTOMIZE_TESTS) || defined(ENABLE_CONTROLLER_TESTS)
+  JTEST_GROUP_CALL(controller_tests);
+#endif
+
+#if !defined(CUSTOMIZE_TESTS) || defined(ENABLE_FASTMATH_TESTS)
+  JTEST_GROUP_CALL(fast_math_tests);
+#endif
+
+#if !defined(CUSTOMIZE_TESTS) || defined(ENABLE_FILTERING_TESTS)
+  /* Biquad df2T_f32 will fail with Neon. The test must be updated.
+  Neon implementation is requiring a different initialization.
+  */
+  JTEST_GROUP_CALL(filtering_tests);
+#endif
+
+#if !defined(CUSTOMIZE_TESTS) || defined(ENABLE_MATRIX_TESTS)
+  JTEST_GROUP_CALL(matrix_tests);
+#endif 
+
+#if !defined(CUSTOMIZE_TESTS) || defined(ENABLE_STATISTICS_TESTS)
+  JTEST_GROUP_CALL(statistics_tests);
+#endif()
+
+#if !defined(CUSTOMIZE_TESTS) || defined(ENABLE_SUPPORT_TESTS)
+  JTEST_GROUP_CALL(support_tests);
+#endif
+
+#if !defined(CUSTOMIZE_TESTS) || defined(ENABLE_TRANSFORM_TESTS)
+  JTEST_GROUP_CALL(transform_tests);
+#endif
+
+#if !defined(CUSTOMIZE_TESTS) || defined(ENABLE_INTRINSICS_TESTS)
+  JTEST_GROUP_CALL(intrinsics_tests);
+#endif
+
+  return;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/abs_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/abs_tests.c
new file mode 100644
index 0000000..6e6bedb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/abs_tests.c
@@ -0,0 +1,32 @@
+#include "jtest.h"
+#include "basic_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "basic_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_ABS_TEST(suffix)              \
+    BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF1_BLK(   \
+        abs,                                    \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix))
+    
+JTEST_ARM_ABS_TEST(f32);
+JTEST_ARM_ABS_TEST(q31);
+JTEST_ARM_ABS_TEST(q15);
+JTEST_ARM_ABS_TEST(q7 );
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(abs_tests)
+{
+    JTEST_TEST_CALL(arm_abs_f32_test);
+    JTEST_TEST_CALL(arm_abs_q31_test);
+    JTEST_TEST_CALL(arm_abs_q15_test);
+    JTEST_TEST_CALL(arm_abs_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/add_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/add_tests.c
new file mode 100644
index 0000000..a2d043c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/add_tests.c
@@ -0,0 +1,33 @@
+#include "jtest.h"
+#include "basic_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "basic_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_ADD_TEST(suffix)              \
+    BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF2_BLK(   \
+        add,                                    \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        BASIC_MATH_COMPARE_INTERFACE)
+
+JTEST_ARM_ADD_TEST(f32);
+JTEST_ARM_ADD_TEST(q31);
+JTEST_ARM_ADD_TEST(q15);
+JTEST_ARM_ADD_TEST(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(add_tests)
+{
+    JTEST_TEST_CALL(arm_add_f32_test);
+    JTEST_TEST_CALL(arm_add_q31_test);
+    JTEST_TEST_CALL(arm_add_q15_test);
+    JTEST_TEST_CALL(arm_add_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/basic_math_test_common_data.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/basic_math_test_common_data.c
new file mode 100644
index 0000000..86728f9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/basic_math_test_common_data.c
@@ -0,0 +1,101 @@
+#include "basic_math_test_data.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Input/Output Buffers */
+/*--------------------------------------------------------------------------------*/
+
+ARR_DESC_DEFINE(BASIC_MATH_BIGGEST_INPUT_TYPE,
+                basic_math_output_fut,
+                BASIC_MATH_MAX_INPUT_ELEMENTS,
+                CURLY(0));
+
+ARR_DESC_DEFINE(BASIC_MATH_BIGGEST_INPUT_TYPE,
+                basic_math_output_ref,
+                BASIC_MATH_MAX_INPUT_ELEMENTS,
+                CURLY(0));
+
+BASIC_MATH_BIGGEST_INPUT_TYPE
+basic_math_output_f32_ref[BASIC_MATH_MAX_INPUT_ELEMENTS];
+
+BASIC_MATH_BIGGEST_INPUT_TYPE
+basic_math_output_f32_fut[BASIC_MATH_MAX_INPUT_ELEMENTS];
+
+/*--------------------------------------------------------------------------------*/
+/* Block Sizes */
+/*--------------------------------------------------------------------------------*/
+
+/* 
+  To change test parameter values add/remove values inside CURLY and update 
+  the preceeding parameter to reflect the number of values inside CURLY. 
+*/
+
+ARR_DESC_DEFINE(uint32_t,
+                basic_math_block_sizes,
+                4,
+                CURLY( 2, 7, 15, 32));
+
+/*--------------------------------------------------------------------------------*/
+/* Numbers */
+/*--------------------------------------------------------------------------------*/
+
+/* 
+  To change test parameter values add/remove values inside CURLY and update 
+  the preceeding parameter to reflect the number of values inside CURLY. 
+*/
+
+ARR_DESC_DEFINE(uint32_t,
+                basic_math_elts,
+                4,
+                CURLY( 0, 1, 0x80000000, 0x7fffffff));
+
+ARR_DESC_DEFINE(int8_t,
+                basic_math_elts2,
+                5,
+                CURLY( 0, 3, -3, -7, 7));
+
+ARR_DESC_DEFINE(float32_t,
+                basic_math_eltsf,
+                6,
+                CURLY( 0.0f, 1.0f, 1.254001, -1.665584, -127.435646, 245.34634267));
+
+/*--------------------------------------------------------------------------------*/
+/* Test Data */
+/*--------------------------------------------------------------------------------*/
+
+ARR_DESC_DEFINE(float32_t,
+                basic_math_f_32,
+                32,
+                CURLY(
+                      -0.432565, -1.665584,  0.125332,  0.287676, -1.146471,
+                       1.190915,  1.189164, -0.037633,  0.327292,  0.174639,
+                      -0.186709,  0.725791, -0.588317,  2.183186, -0.136396,
+                       0.113931,  1.066768,  0.059281, -0.095648, -0.832349,
+                       0.294411, -1.336182,  0.714325,  1.623562, -0.691776,
+                       0.857997,  1.254001, -1.593730, -1.440964,  0.571148,
+                      -0.399886,  0.689997
+                      ));
+
+/* Alias the 32 element array with wrappers that end sooner. */
+ARR_DESC_DEFINE_SUBSET(basic_math_f_15,
+                       basic_math_f_32,
+                       15);
+
+ARR_DESC_DEFINE_SUBSET(basic_math_f_2,
+                       basic_math_f_32,
+                       2);
+
+ARR_DESC_DEFINE(float32_t,
+                basic_math_zeros,
+                32,
+                CURLY(0));
+
+/* Aggregate all float datasets. */
+ARR_DESC_DEFINE(ARR_DESC_t *,
+                basic_math_f_all,
+                4,
+                CURLY(
+                      &basic_math_zeros,
+                      &basic_math_f_2,
+                      &basic_math_f_15,
+                      &basic_math_f_32
+                      ));
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/basic_math_test_group.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/basic_math_test_group.c
new file mode 100644
index 0000000..7b219fe
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/basic_math_test_group.c
@@ -0,0 +1,17 @@
+#include "jtest.h"
+#include "basic_math_tests.h"
+
+JTEST_DEFINE_GROUP(basic_math_tests)
+{
+    JTEST_GROUP_CALL(abs_tests);
+    JTEST_GROUP_CALL(add_tests);
+    JTEST_GROUP_CALL(dot_prod_tests);
+    JTEST_GROUP_CALL(mult_tests);
+    JTEST_GROUP_CALL(negate_tests);
+    JTEST_GROUP_CALL(offset_tests);
+    JTEST_GROUP_CALL(scale_tests); 
+    JTEST_GROUP_CALL(shift_tests);
+    JTEST_GROUP_CALL(sub_tests);
+
+    return;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/dot_prod_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/dot_prod_tests.c
new file mode 100644
index 0000000..ed758a1
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/dot_prod_tests.c
@@ -0,0 +1,33 @@
+#include "jtest.h"
+#include "basic_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "basic_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_DOT_PROD_TEST(suffix)         \
+    BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF2_BLK(   \
+        dot_prod,                               \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        BASIC_MATH_SNR_ELT1_COMPARE_INTERFACE)
+
+JTEST_ARM_DOT_PROD_TEST(f32);
+JTEST_ARM_DOT_PROD_TEST(q31);
+JTEST_ARM_DOT_PROD_TEST(q15);
+JTEST_ARM_DOT_PROD_TEST(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(dot_prod_tests)
+{
+    JTEST_TEST_CALL(arm_dot_prod_f32_test);
+    JTEST_TEST_CALL(arm_dot_prod_q31_test);
+    JTEST_TEST_CALL(arm_dot_prod_q15_test);
+    JTEST_TEST_CALL(arm_dot_prod_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/mult_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/mult_tests.c
new file mode 100644
index 0000000..a94bf68
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/mult_tests.c
@@ -0,0 +1,33 @@
+#include "jtest.h"
+#include "basic_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "basic_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_MULT_TEST(suffix, compare_interface)  \
+    BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF2_BLK(   \
+        mult,                                   \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        compare_interface)
+
+JTEST_ARM_MULT_TEST(f32, BASIC_MATH_COMPARE_INTERFACE);
+JTEST_ARM_MULT_TEST(q31, BASIC_MATH_SNR_COMPARE_INTERFACE);
+JTEST_ARM_MULT_TEST(q15, BASIC_MATH_COMPARE_INTERFACE);
+JTEST_ARM_MULT_TEST(q7 , BASIC_MATH_COMPARE_INTERFACE);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(mult_tests)
+{
+    JTEST_TEST_CALL(arm_mult_f32_test);
+    JTEST_TEST_CALL(arm_mult_q31_test);
+    JTEST_TEST_CALL(arm_mult_q15_test);
+    JTEST_TEST_CALL(arm_mult_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/negate_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/negate_tests.c
new file mode 100644
index 0000000..276cdac
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/negate_tests.c
@@ -0,0 +1,32 @@
+#include "jtest.h"
+#include "basic_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "basic_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_NEGATE_TEST(suffix)           \
+    BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF1_BLK(   \
+        negate,                                 \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix))
+    
+JTEST_ARM_NEGATE_TEST(f32);
+JTEST_ARM_NEGATE_TEST(q31);
+JTEST_ARM_NEGATE_TEST(q15);
+JTEST_ARM_NEGATE_TEST(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(negate_tests)
+{
+    JTEST_TEST_CALL(arm_negate_f32_test);
+    JTEST_TEST_CALL(arm_negate_q31_test);
+    JTEST_TEST_CALL(arm_negate_q15_test);
+    JTEST_TEST_CALL(arm_negate_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/offset_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/offset_tests.c
new file mode 100644
index 0000000..4e10f78
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/offset_tests.c
@@ -0,0 +1,33 @@
+#include "jtest.h"
+#include "basic_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "basic_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_OFFSET_TEST(suffix)               \
+    BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF1_ELT1_BLK(  \
+        offset,                                     \
+        suffix,                                     \
+        TYPE_FROM_ABBREV(suffix),                   \
+        TYPE_FROM_ABBREV(suffix),                   \
+        TYPE_FROM_ABBREV(suffix))
+
+JTEST_ARM_OFFSET_TEST(f32);
+JTEST_ARM_OFFSET_TEST(q31);
+JTEST_ARM_OFFSET_TEST(q15);
+JTEST_ARM_OFFSET_TEST(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(offset_tests)
+{
+    JTEST_TEST_CALL(arm_offset_f32_test);
+    JTEST_TEST_CALL(arm_offset_q31_test);
+    JTEST_TEST_CALL(arm_offset_q15_test);
+    JTEST_TEST_CALL(arm_offset_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/scale_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/scale_tests.c
new file mode 100644
index 0000000..2839a8f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/scale_tests.c
@@ -0,0 +1,52 @@
+#include "jtest.h"
+#include "basic_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "basic_math_templates.h"
+#include "type_abbrev.h"
+
+
+#define JTEST_ARM_SCALE_TEST(suffix)                \
+    BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF1_ELT2_BLK(  \
+        scale,                                      \
+        suffix,                                     \
+        TYPE_FROM_ABBREV(suffix),                   \
+        TYPE_FROM_ABBREV(suffix), /*elt1_type*/     \
+        int8_t, /*elt2_type*/                       \
+        TYPE_FROM_ABBREV(suffix))
+
+/* float32_t defined separately because it has less arguments */
+JTEST_DEFINE_TEST(arm_scale_f32_test,
+                  arm_scale_f32)
+{
+    TEST_TEMPLATE_BUF1_ELT1_BLK(
+        basic_math_f_all,
+        basic_math_eltsf,
+        basic_math_block_sizes,
+        float32_t,
+        float32_t,
+        float32_t,
+        arm_scale_f32,
+        ARM_scale_float_INPUT_INTERFACE,
+        ref_scale_f32,
+        REF_scale_float_INPUT_INTERFACE,
+        BASIC_MATH_COMPARE_INTERFACE);
+}
+
+JTEST_ARM_SCALE_TEST(q31);
+JTEST_ARM_SCALE_TEST(q15);
+JTEST_ARM_SCALE_TEST(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(scale_tests)
+{
+    JTEST_TEST_CALL(arm_scale_f32_test);
+    JTEST_TEST_CALL(arm_scale_q31_test);
+    JTEST_TEST_CALL(arm_scale_q15_test);
+    JTEST_TEST_CALL(arm_scale_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/shift_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/shift_tests.c
new file mode 100644
index 0000000..ed83b63
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/shift_tests.c
@@ -0,0 +1,31 @@
+#include "jtest.h"
+#include "basic_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "basic_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_SHIFT_TEST(suffix)                \
+    BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF1_ELT1_BLK(  \
+        shift,                                      \
+        suffix,                                     \
+        TYPE_FROM_ABBREV(suffix),                   \
+        int8_t, /*elt_type*/                        \
+        TYPE_FROM_ABBREV(suffix))
+
+JTEST_ARM_SHIFT_TEST(q31);
+JTEST_ARM_SHIFT_TEST(q15);
+JTEST_ARM_SHIFT_TEST(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(shift_tests)
+{
+    JTEST_TEST_CALL(arm_shift_q31_test);
+    JTEST_TEST_CALL(arm_shift_q15_test);
+    JTEST_TEST_CALL(arm_shift_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/sub_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/sub_tests.c
new file mode 100644
index 0000000..a486842
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/basic_math_tests/sub_tests.c
@@ -0,0 +1,33 @@
+#include "jtest.h"
+#include "basic_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "basic_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_SUB_TEST(suffix)              \
+    BASIC_MATH_DEFINE_TEST_TEMPLATE_BUF2_BLK(   \
+        sub,                                    \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        BASIC_MATH_COMPARE_INTERFACE)
+
+JTEST_ARM_SUB_TEST(f32);
+JTEST_ARM_SUB_TEST(q31);
+JTEST_ARM_SUB_TEST(q15);
+JTEST_ARM_SUB_TEST(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(sub_tests)
+{
+    JTEST_TEST_CALL(arm_sub_f32_test);
+    JTEST_TEST_CALL(arm_sub_q31_test);
+    JTEST_TEST_CALL(arm_sub_q15_test);
+    JTEST_TEST_CALL(arm_sub_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_conj_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_conj_tests.c
new file mode 100644
index 0000000..7fcc0bc
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_conj_tests.c
@@ -0,0 +1,31 @@
+#include "jtest.h"
+#include "complex_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "complex_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_CMPLX_CONJ_TEST(suffix)           \
+    COMPLEX_MATH_DEFINE_TEST_TEMPLATE_BUF1_BLK(     \
+        cmplx_conj,                                 \
+        suffix,                                     \
+        TYPE_FROM_ABBREV(suffix),                   \
+        TYPE_FROM_ABBREV(suffix),                   \
+        COMPLEX_MATH_SNR_COMPARE_CMPLX_INTERFACE)
+
+JTEST_ARM_CMPLX_CONJ_TEST(f32);
+JTEST_ARM_CMPLX_CONJ_TEST(q31);
+JTEST_ARM_CMPLX_CONJ_TEST(q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(cmplx_conj_tests)
+{
+    JTEST_TEST_CALL(arm_cmplx_conj_f32_test);
+    JTEST_TEST_CALL(arm_cmplx_conj_q31_test);
+    JTEST_TEST_CALL(arm_cmplx_conj_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_dot_prod_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_dot_prod_tests.c
new file mode 100644
index 0000000..bcdaf5b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_dot_prod_tests.c
@@ -0,0 +1,31 @@
+#include "jtest.h"
+#include "complex_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "complex_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_CMPLX_DOT_PROD_TEST(suffix, comparison_interface) \
+    COMPLEX_MATH_DEFINE_TEST_TEMPLATE_BUF2_BLK(                     \
+        cmplx_dot_prod,                                             \
+        suffix,                                                     \
+        TYPE_FROM_ABBREV(suffix),                                   \
+        TYPE_FROM_ABBREV(suffix),                                   \
+        comparison_interface)
+
+JTEST_ARM_CMPLX_DOT_PROD_TEST(f32, COMPLEX_MATH_SNR_COMPARE_SPLIT_INTERFACE);
+JTEST_ARM_CMPLX_DOT_PROD_TEST(q31, COMPLEX_MATH_SNR_COMPARE_SPLIT_INTERFACE);
+JTEST_ARM_CMPLX_DOT_PROD_TEST(q15, COMPLEX_MATH_SNR_COMPARE_SPLIT_INTERFACE);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(cmplx_dot_prod_tests)
+{
+    JTEST_TEST_CALL(arm_cmplx_dot_prod_f32_test);
+    JTEST_TEST_CALL(arm_cmplx_dot_prod_q31_test);
+    JTEST_TEST_CALL(arm_cmplx_dot_prod_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_mag_squared_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_mag_squared_tests.c
new file mode 100644
index 0000000..9ca11fc
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_mag_squared_tests.c
@@ -0,0 +1,31 @@
+#include "jtest.h"
+#include "complex_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "complex_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_CMPLX_MAG_SQUARED_TEST(suffix)    \
+    COMPLEX_MATH_DEFINE_TEST_TEMPLATE_BUF1_BLK(     \
+        cmplx_mag_squared,                          \
+        suffix,                                     \
+        TYPE_FROM_ABBREV(suffix),                   \
+        TYPE_FROM_ABBREV(suffix),                   \
+        COMPLEX_MATH_COMPARE_RE_INTERFACE)
+
+JTEST_ARM_CMPLX_MAG_SQUARED_TEST(f32);
+JTEST_ARM_CMPLX_MAG_SQUARED_TEST(q31);
+JTEST_ARM_CMPLX_MAG_SQUARED_TEST(q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(cmplx_mag_squared_tests)
+{
+    JTEST_TEST_CALL(arm_cmplx_mag_squared_f32_test);
+    JTEST_TEST_CALL(arm_cmplx_mag_squared_q31_test);
+    JTEST_TEST_CALL(arm_cmplx_mag_squared_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_mag_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_mag_tests.c
new file mode 100644
index 0000000..8711957
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_mag_tests.c
@@ -0,0 +1,31 @@
+#include "jtest.h"
+#include "complex_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "complex_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_CMPLX_MAG_TEST(suffix, comparison_interface)  \
+    COMPLEX_MATH_DEFINE_TEST_TEMPLATE_BUF1_BLK(                 \
+        cmplx_mag,                                              \
+        suffix,                                                 \
+        TYPE_FROM_ABBREV(suffix),                               \
+        TYPE_FROM_ABBREV(suffix),                               \
+        comparison_interface)
+
+JTEST_ARM_CMPLX_MAG_TEST(f32, COMPLEX_MATH_COMPARE_RE_INTERFACE);
+JTEST_ARM_CMPLX_MAG_TEST(q31, COMPLEX_MATH_SNR_COMPARE_RE_INTERFACE);
+JTEST_ARM_CMPLX_MAG_TEST(q15, COMPLEX_MATH_SNR_COMPARE_RE_INTERFACE);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(cmplx_mag_tests)
+{
+    JTEST_TEST_CALL(arm_cmplx_mag_f32_test);
+    JTEST_TEST_CALL(arm_cmplx_mag_q31_test);
+    JTEST_TEST_CALL(arm_cmplx_mag_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_mult_cmplx_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_mult_cmplx_tests.c
new file mode 100644
index 0000000..22c5a70
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_mult_cmplx_tests.c
@@ -0,0 +1,31 @@
+#include "jtest.h"
+#include "complex_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "complex_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_CMPLX_MULT_CMPLX_TEST(suffix) \
+    COMPLEX_MATH_DEFINE_TEST_TEMPLATE_BUF2_BLK( \
+        cmplx_mult_cmplx,                       \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        COMPLEX_MATH_COMPARE_CMPLX_INTERFACE)
+
+JTEST_ARM_CMPLX_MULT_CMPLX_TEST(f32);
+JTEST_ARM_CMPLX_MULT_CMPLX_TEST(q31);
+JTEST_ARM_CMPLX_MULT_CMPLX_TEST(q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(cmplx_mult_cmplx_tests)
+{
+    JTEST_TEST_CALL(arm_cmplx_mult_cmplx_f32_test);
+    JTEST_TEST_CALL(arm_cmplx_mult_cmplx_q31_test);
+    JTEST_TEST_CALL(arm_cmplx_mult_cmplx_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_mult_real_test.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_mult_real_test.c
new file mode 100644
index 0000000..fce7b82
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/cmplx_mult_real_test.c
@@ -0,0 +1,31 @@
+#include "jtest.h"
+#include "complex_math_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "complex_math_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_CMPLX_MULT_REAL_TEST(suffix, comparison_interface)    \
+    COMPLEX_MATH_DEFINE_TEST_TEMPLATE_BUF2_BLK(                         \
+        cmplx_mult_real,                                                \
+        suffix,                                                         \
+        TYPE_FROM_ABBREV(suffix),                                       \
+        TYPE_FROM_ABBREV(suffix),                                       \
+        comparison_interface)
+
+JTEST_ARM_CMPLX_MULT_REAL_TEST(f32, COMPLEX_MATH_COMPARE_CMPLX_INTERFACE);
+JTEST_ARM_CMPLX_MULT_REAL_TEST(q31, COMPLEX_MATH_SNR_COMPARE_CMPLX_INTERFACE);
+JTEST_ARM_CMPLX_MULT_REAL_TEST(q15, COMPLEX_MATH_COMPARE_CMPLX_INTERFACE);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(cmplx_mult_real_tests)
+{
+    JTEST_TEST_CALL(arm_cmplx_mult_real_f32_test);
+    JTEST_TEST_CALL(arm_cmplx_mult_real_q31_test);
+    JTEST_TEST_CALL(arm_cmplx_mult_real_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/complex_math_test_common_data.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/complex_math_test_common_data.c
new file mode 100644
index 0000000..396dc2f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/complex_math_test_common_data.c
@@ -0,0 +1,114 @@
+#include "complex_math_test_data.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Input/Output Buffers */
+/*--------------------------------------------------------------------------------*/
+
+ARR_DESC_DEFINE(COMPLEX_MATH_BIGGEST_INPUT_TYPE,
+                complex_math_output_fut_a,
+                COMPLEX_MATH_MAX_INPUT_ELEMENTS * 2 /*Complex data has two parts*/,
+                CURLY(0));
+
+ARR_DESC_DEFINE(COMPLEX_MATH_BIGGEST_INPUT_TYPE,
+                complex_math_output_fut_b,
+                COMPLEX_MATH_MAX_INPUT_ELEMENTS * 2 /*Complex data has two parts*/,
+                CURLY(0));
+
+ARR_DESC_DEFINE(COMPLEX_MATH_BIGGEST_INPUT_TYPE,
+                complex_math_output_ref_a,
+                COMPLEX_MATH_MAX_INPUT_ELEMENTS * 2 /*Complex data has two parts*/,
+                CURLY(0));
+
+
+ARR_DESC_DEFINE(COMPLEX_MATH_BIGGEST_INPUT_TYPE,
+                complex_math_output_ref_b,
+                COMPLEX_MATH_MAX_INPUT_ELEMENTS * 2 /*Complex data has two parts*/,
+                CURLY(0));
+
+
+COMPLEX_MATH_BIGGEST_INPUT_TYPE
+complex_math_output_f32_ref_a[COMPLEX_MATH_MAX_INPUT_ELEMENTS * 2];
+
+COMPLEX_MATH_BIGGEST_INPUT_TYPE
+complex_math_output_f32_ref_b[COMPLEX_MATH_MAX_INPUT_ELEMENTS * 2];
+
+COMPLEX_MATH_BIGGEST_INPUT_TYPE
+complex_math_output_f32_fut_a[COMPLEX_MATH_MAX_INPUT_ELEMENTS * 2];
+
+COMPLEX_MATH_BIGGEST_INPUT_TYPE
+complex_math_output_f32_fut_b[COMPLEX_MATH_MAX_INPUT_ELEMENTS * 2];
+
+/*--------------------------------------------------------------------------------*/
+/* Block Sizes */
+/*--------------------------------------------------------------------------------*/
+
+ARR_DESC_DEFINE(uint32_t,
+                complex_math_block_sizes,
+                4,
+                CURLY(1, 2, 15, 32));
+
+/*--------------------------------------------------------------------------------*/
+/* Test Data */
+/*--------------------------------------------------------------------------------*/
+
+ARR_DESC_DEFINE(float32_t,
+                complex_math_f_32,
+                32 * 2 /*Complex data has two parts*/,
+                CURLY(
+                      -0.432564811528220680 ,	0.815622288876143300,	
+                      -1.665584378238097000 ,	0.711908323500893280,	
+                      0.125332306474830680  ,	1.290249754932477000,	
+                      0.287676420358548850  ,	0.668600505682040320,	
+                      -1.146471350681463700 ,	1.190838074243369100,	
+                      1.190915465642998800  ,	-1.202457114773944000,	
+                      1.189164201652103100  ,	-0.019789557768770449,	
+                      -0.037633276593317645 ,	-0.156717298831980680,	
+                      0.327292361408654140  ,	-1.604085562001158500,	
+                      0.174639142820924520  ,	0.257304234677489860,	
+                      -0.186708577681439360 ,	-1.056472928081482400,	
+                      0.725790548293302700  ,	1.415141485872338600,	
+                      -0.588316543014188680 ,	-0.805090404196879830,	
+                      2.183185818197101100  ,	0.528743010962224870,	
+                      -0.136395883086595700 ,	0.219320672667622370,	
+                      0.113931313520809620  ,	-0.921901624355539130,	
+                      1.066768211359188800  ,	-2.170674494305262500,	
+                      0.059281460523605348  ,	-0.059187824521191180,	
+                      -0.095648405483669041 ,	-1.010633706474247400,	
+                      -0.832349463650022490 ,	0.614463048895480980,	
+                      0.294410816392640380  ,	0.507740785341985520,	
+                      -1.336181857937804000 ,	1.692429870190521400,	
+                      0.714324551818952160  ,	0.591282586924175900,	
+                      1.623562064446270700  ,	-0.643595202682526120,	
+                      -0.691775701702286750 ,	0.380337251713910140,	
+                      0.857996672828262640  ,	-1.009115524340785000,	
+                      1.254001421602532400  ,	-0.019510669530289293,	
+                      -1.593729576447476800 ,	-0.048220789145312269,	
+                      -1.440964431901020000 ,	0.000043191841625545,	
+                      0.571147623658177950  ,	-0.317859451247687890,	
+                      -0.399885577715363150 ,	1.095003738787492500,	
+                      0.689997375464345140  ,	-1.873990257640960800
+                      ));
+
+ARR_DESC_DEFINE_SUBSET(complex_math_f_15,
+                       complex_math_f_32,
+                       15 * 2 /*Complex data has two parts*/);
+
+ARR_DESC_DEFINE_SUBSET(complex_math_f_2,
+                       complex_math_f_32,
+                       2 * 2 /*Complex data has two parts*/);
+
+ARR_DESC_DEFINE(float32_t,
+                complex_math_zeros,
+                32 * 2 /*Complex data has two parts*/,
+                CURLY(0));
+
+/* Aggregate all float datasets */
+ARR_DESC_DEFINE(ARR_DESC_t *,
+                complex_math_f_all,
+                4,
+                CURLY(
+                      &complex_math_zeros,
+                      &complex_math_f_2,
+                      &complex_math_f_15,
+                      &complex_math_f_32
+                      ));
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/complex_math_test_group.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/complex_math_test_group.c
new file mode 100644
index 0000000..38546fb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/complex_math_tests/complex_math_test_group.c
@@ -0,0 +1,14 @@
+#include "jtest.h"
+#include "complex_math_tests.h"
+
+JTEST_DEFINE_GROUP(complex_math_tests)
+{
+    JTEST_GROUP_CALL(cmplx_conj_tests);
+    JTEST_GROUP_CALL(cmplx_dot_prod_tests);
+    JTEST_GROUP_CALL(cmplx_mag_tests);
+    JTEST_GROUP_CALL(cmplx_mag_squared_tests);
+    JTEST_GROUP_CALL(cmplx_mult_cmplx_tests);
+    JTEST_GROUP_CALL(cmplx_mult_real_tests);
+    
+    return;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/controller_test_common_data.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/controller_test_common_data.c
new file mode 100644
index 0000000..661a487
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/controller_test_common_data.c
@@ -0,0 +1,499 @@
+#include "controller_test_data.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Input/Output Buffers */
+/*--------------------------------------------------------------------------------*/
+
+float32_t controller_output_fut[CONTROLLER_MAX_LEN] = {0};
+float32_t controller_output_ref[CONTROLLER_MAX_LEN] = {0};
+float32_t controller_output_f32_fut[CONTROLLER_MAX_LEN] = {0};
+float32_t controller_output_f32_ref[CONTROLLER_MAX_LEN] = {0};
+
+const q31_t controller_q31_inputs[CONTROLLER_MAX_LEN] =
+{
+		0xC14A5524, 0xCCABDA17, 0xAD6F5B56, 0xFDAFCE3B, 0xA9B226EB, 0x41F6F6A,
+		0xA5CE38BF, 0x3A978AFA, 0xBA44B82A, 0x855C0F8, 0x3D060524, 0x93D5E570,
+		0x97D7791D, 0xFFE0C38C, 0x26749841, 0xC0A6EE54, 0x218EC386, 0x39FF3726,
+		0x8DC1F7CA, 0x702F2CF5, 0xC1142FF1, 0xEC1476AB, 0x15F640DD, 0xE62CCE49,
+		0x3805DE7E, 0xF70871FE, 0xCF8BD360, 0x8D19A8A0, 0xD764F821, 0xA58558CF,
+		0x8C0CE04D, 0x50A46C19, 0x66D2370D, 0x50FA359A, 0xB646AE24, 0x6CE00F5C,
+		0xE6D48948, 0xB55BD831, 0x3B72950A, 0x9EB69530, 0x73394127, 0x773FA6F4,
+		0x9805A980, 0x838DE587, 0x9CF597F4, 0xA2AD1691, 0xFA81A473, 0x7CDC7D7F,
+		0x4A5190D0, 0xED895BB9, 0x8FD60F35, 0x1A21D530, 0xA0EB6DDA, 0xBDE6A516,
+		0x2501A3E1, 0x5ED893C8, 0xE1E175B1, 0xACBBB2F3, 0xED350907, 0xDB140D7E,
+		0xEEAE272D, 0xBE229841, 0xC18BFB88, 0xA6BB9B80, 0xBCF090E4, 0x24DB166C,
+		0xF9AB7E42, 0x62DF28D1, 0xC7004665, 0xE3F56FC6, 0x419E0C75, 0x46BE9F38,
+		0x2432B9B2, 0x758D83E0, 0xDCE12926, 0x3F57CB74, 0x1F4458E2, 0xF1DD639,
+		0x83A1FB49, 0x173AFC76, 0x86EF7531, 0x48D32F34, 0x7D3E3063, 0x8F2FB549,
+		0x5C314C9, 0x18CBEB6D, 0xA6F8B697, 0x447B9E9C, 0x2E32BA33, 0xD074D715,
+		0x81ACD746, 0xE55A4E04, 0x4891860F, 0x1DA3EB4F, 0xE0E6A27F, 0x20BFDEB4,
+		0xD0B3A25B, 0x40C10544, 0xC15656C, 0x15405EAE, 0x9858E3E1, 0xA36A9C4E,
+		0x88BD21F9, 0xAACF7A68, 0x773665E5, 0xCEDFDF66, 0x617A9610, 0x524FC968,
+		0xC2D086CD, 0x5F008079, 0x24DCA447, 0x6A4F5599, 0xB706CD4A, 0x1DE70608,
+		0xA33A2EE5, 0x137E488E, 0x98061B7B, 0x4079D69D, 0xA4A897D5, 0xC4CEC8F5,
+		0xD75F7883, 0x22406802, 0xF1AD70BB, 0x9D4ADD79, 0xBCBC7CE4, 0xB358C0D8,
+		0x85792E47, 0xA7ADAC05, 0x3D19EEAB, 0x331AC0AF, 0x33035831, 0x13D93987,
+		0xFC542094, 0x845F317E, 0xDDC4BF8B, 0x1379E50C, 0x5C20193F, 0xFDD58298,
+		0x9D482B82, 0x4A6BE062, 0xDC8A757B, 0x272917C1, 0x90E1EFBC, 0x355AD882,
+		0xE6F8EA35, 0x604555A1, 0x7DFFFBB, 0xF58AE216, 0x9A11B463, 0xD3541BAD,
+		0xA1576756, 0x483BED8D, 0x1F05AFCC, 0xCEA63DFB, 0x55B84677, 0xFB2E04F2,
+		0x787AF96C, 0x84A12CD3, 0x460A9BD, 0x9DB22DD8, 0x1A8C7F28, 0x861E452E,
+		0x932D3F78, 0x7652D852, 0x73357BBA, 0xEBBB0A58, 0x62536AFA, 0x3F6B65EF,
+		0x6DC57B58, 0x9EB798CE, 0xE6B0A740, 0xDFF68B47, 0x3247FB8F, 0xFFF3D302,
+		0xA9FD3E40, 0x475A43D1, 0x6FF9528A, 0x2018A09D, 0x47E0F9C9, 0x4CF5F6D3,
+		0x2807CE34, 0xDD6FD8ED, 0x234045D1, 0x51CEB5F9, 0x25297896, 0x6443A0FE,
+		0x8F4449A9, 0xD4C3E1C6, 0xF01D52F1, 0x4E09C820, 0xF18F0810, 0xE1548689,
+		0xF9DE5A1F, 0x5286DC23, 0x48AC3A4B, 0xEA0C1BE0, 0xA1B785DB, 0x7086465D,
+		0x1CC10929, 0x1E1D716E, 0xED231D4C, 0x2049D108, 0xB8FF9971, 0x949CF8D4,
+		0x441F1E8B, 0xC3D95372, 0x69C324B4, 0xA10BFDC9, 0xC781DE78, 0x82476137,
+		0xE163DDF, 0x390DEEC2, 0xAF68CE5B, 0x8E680ABD, 0x8223A615, 0x92593380,
+		0x7B1465FE, 0x865AE957, 0x930F53EB, 0xED772EF7, 0x10E916B6, 0xE3BCFA68,
+		0x2ACB80BB, 0xE51C5590, 0x994714B5, 0xF30984EE, 0x59BBE1B4, 0xB4867DBC,
+		0xB91C706C, 0xBC16C218, 0xA8931CD0, 0x129A66AB, 0x13171F4D, 0x62882872,
+		0x4B167FD4, 0xE6902F4C, 0xFA794932, 0xD4B152C, 0xB0856EA9, 0x39466D55,
+		0x3669E451, 0x8F5B9E8C, 0x877A3C6A, 0x51B956B4, 0x367EAD2A, 0x9D2C662A,
+		0x78FB6880, 0x4E6D40B6, 0x4070EFDC, 0x4DF9679C, 0x20306EDB, 0xE381AAE7,
+		0xA55DA748, 0x9B8B617B, 0x3E036FAD, 0x84E4C4A7, 0xD5A3F517, 0x669BA988,
+		0x98FDDE8C, 0x67BD85CE, 0x34BBB46C, 0x76994800, 0x85B9D8B6, 0x6DFA2FEF,
+		0x205DB5C, 0x9F843C4C, 0x72721B52, 0x73EF6B86, 0x5FB98B61, 0xC323DDAC,
+		0x31D424B4, 0xF68C0D7E, 0x162FAF9D, 0x7B2A7A99, 0xF9392693, 0xC42D12C0,
+		0x8692A73E, 0xD9A1EE80, 0xDD956856, 0x44E7BDAC, 0x8D874532, 0x5F5C9DD0,
+		0x5D167858, 0x8559FEA2, 0x9D821476, 0xD9654ED2, 0x594C0DC7, 0x1A87B506,
+		0x3F693200, 0x7A651AB5, 0xA0CCBC8A, 0x9F9E662C, 0x78EF631, 0x2A09DA0,
+		0xB088C72F, 0x92EE0D42, 0x360DCD5F, 0xF333FE48, 0x8D63CC06, 0x233A8ACB,
+		0x706651ED, 0x7AA5C079, 0x262239D1, 0x3EBBEBB6, 0xA25A4F3D, 0x32581A06,
+		0x6E6FD780, 0x5773F7C7, 0x75ED1DDC, 0x90DF2D15, 0xBC79A9BC, 0xB7175917,
+		0x354E381C, 0x762AADD7, 0xF643DAC1, 0xF3BBF49E, 0xD2FECE7E, 0x6C8140F4,
+		0xD7694875, 0x92D30822, 0xC742A7CF, 0xB792ED98, 0x121CFE24, 0xA04E1EE7,
+		0x58CE268, 0x215A080, 0x316CB323, 0xFAB14A31, 0xE1C13C03, 0xFD8EF4F1,
+		0xF3F446D0, 0x6C6CEA0A, 0xBBFDF9FB, 0x67242969, 0xBE55A4EB, 0x8FF5534,
+		0x52F0DF1C, 0x9710ADE3, 0xD40F4A21, 0x7984E8E7, 0x419545EB, 0x993F7880,
+		0xAB246B20, 0x408AABC4, 0xCBF6EA49, 0xC0894C55, 0x4CAA6398, 0xA47856E9,
+		0xAF2AE47D, 0x22F55D33, 0xF0D37915, 0xD0634C72, 0xD983671, 0x2BCC5AF8,
+		0x9A77D48, 0xC11B5CFA, 0xF107CD7E, 0x3A6B3593, 0xE1425F05, 0x6271812A,
+		0x5B838310, 0xBD8418CA, 0x10A58792, 0x239F7137, 0xA13D5071, 0x7F9930D4,
+		0xA462664F, 0x54180F8E, 0x291585BA, 0xE586B87A, 0x144B2C12, 0x98E425C7,
+		0xBAA4B373, 0x18F0D03C, 0x99462AC0, 0xD8B4D2EF, 0x72473895, 0xA6BF5435,
+		0xEDAD53B, 0xE0912FA6, 0x5C33F331, 0x3D93CD7, 0x4D03D752, 0x20699929,
+		0xB89962F9, 0x36E781E9, 0xF58B642C, 0x5FCA69E3, 0x5960A7F4, 0xAD5AAFD0,
+		0xDF18324A, 0x3DB1E5AA, 0x76BA3876, 0x1BC29AF6, 0xBCC18841, 0x73A60174,
+		0x625BFF58, 0x67C57724, 0x4458E53C, 0xE157B095, 0x2B370837, 0x83DF6CE3,
+		0xDD08EEFA, 0x3F52A7C2, 0x191B4785, 0x60843D82, 0xB0DE11F1, 0x105EA26C,
+		0x6E1C7AA2, 0x47AADD14, 0xB6676D03, 0x3B8D4DF6, 0x737A694, 0x409521DC,
+		0x744206A, 0xC722023F, 0x2BE4EAD5, 0x63E11D76, 0xCA4A09AB, 0x5CF2D2B9,
+		0x31586916, 0xCDFD7D84, 0xB203F634, 0xAD7329D4, 0xC524582F, 0x2E53E6C1,
+		0xBB0E019B, 0xB8538C6A, 0x6A2542D, 0x8A6A00E5, 0x119725CC, 0x5406D347,
+		0x1B6FFAF1, 0xECCF71F1, 0x981117F2, 0x7167CA76, 0x74F4B880, 0x77A55F47,
+		0x59EADB62, 0x4A331D95, 0xBCBBA76F, 0xA45C4D50, 0xC718D5, 0x87CE05D1,
+		0x60D47AD5, 0xA5CA9C40, 0xB0061766, 0xE69B39DF, 0xBD5F1320, 0x9930EAD3,
+		0xA8B38325, 0x8DD090F, 0x6A6EEF37, 0x2DF16F66, 0xAB514C7E, 0x31109C58,
+		0xFD48C7FC, 0x515341CA, 0x77AB8EA6, 0x41328DAF, 0xBAF8D31E, 0xA4B31611,
+		0xED37F331, 0x7A832A22, 0xA22591C7, 0x722D1F89, 0x3B19CF18, 0x261B8A4D,
+		0xC3F6F6DB, 0xCF8CED61, 0x990FA250, 0xA02E72A9, 0x560DCEA2, 0xB08E67B4,
+		0x3674E663, 0x97CC3852, 0xA7EB2EAC, 0xFFDE0AA8, 0xA64719A, 0x23269EDD,
+		0x3C0B339E, 0x86284D40, 0x48D82ECB, 0xA4D4CCF8, 0x43631B91, 0x4BF0C248,
+		0xB6497B9B, 0x6827BC58, 0xE30B7AF9, 0xA0CCBF26, 0x6C3B7B71, 0xD744B3ED,
+		0xFA25D2F6, 0x4CDE642D, 0xD65B8142, 0xA6F9207F, 0xE7A207BE, 0xDB506684,
+		0x44DA4780, 0x9175EA0C, 0x156104AF, 0x4155E1B0, 0x6E3A6886, 0x9DBA1EA2,
+		0x5423D9C8, 0xCC024E22, 0x758F852A, 0x1DD6395, 0x2D19CBAD, 0xE164F5A1,
+		0xC2084602, 0x89C274AD, 0x13CB5562, 0xD7FE2D5B, 0xE07A4EE5, 0x1672BA91,
+		0x4F624CCF, 0x2E5EA4A3, 0x28FEEFAF, 0xBDDA6EF4, 0x32AFD40C, 0x99A5FB3B,
+		0xDD1D73A3, 0xA342CB3E, 0xA78445F5, 0x53979C3B, 0x427D7943, 0x5221B58C,
+		0xA6CE9A5E, 0xFB50ECA4, 0xBB86E36E, 0x60839F6D, 0xC5E1C2F3, 0xA1B7FB04,
+		0xFBB65E0C, 0x78B80F5E, 0xFD8D972B, 0x3BF3BA90, 0x2D572D9, 0x2B5BC920,
+		0xB6A0DE01, 0xD274D306, 0xC7C6C855, 0x9CAA669B, 0xB04AA641, 0x4D6B1760,
+		0x3E17ED79, 0xD23241B0, 0xA4A6F957, 0xCBDE76AF, 0x4E5F9493, 0x4C215DA5,
+		0x33A052B, 0x1A4D80C2, 0x40AEEBCA, 0x390D106B, 0xE9E8E018, 0x5AF3D6CF,
+		0xE35E1D4, 0xC4FB1C6, 0x14B6299B, 0x8D2E25F0, 0xCCBF932A, 0xC5AC18B6,
+		0x2227567D, 0x86B5CE2F, 0x26344534, 0x22C515EC, 0x2442B70D, 0xEC3721C6,
+		0x34EF687D, 0x9C06323A, 0xEAF3EA60, 0x60396F52, 0xEAE78AA1, 0xC9D06CBC,
+		0x6F95F6C8, 0x584CC258, 0xBA9A27BB, 0x66DF8D47, 0x9D4804EA, 0x57DD9E67,
+		0xF89C7895, 0xF5336111, 0x25C122C8, 0x62742114, 0xCFBF6D26, 0xBF9F6482,
+		0xE6F02CD9, 0x11083202, 0xC99E2618, 0x7EBC9351, 0x440112F1, 0xC9DFFBC1,
+		0x3BF4DC25, 0xB1BA7FA0, 0x61AF9AED, 0x6B1F7D29, 0xAD865294, 0xE3E01129,
+		0x7E9E77A5, 0x100435D7, 0x9FE3A71, 0x88597C81, 0x722849FA, 0x31C5A0AF,
+		0xFBA178DC, 0x7F102D31, 0x5CA07864, 0x950E6F98, 0x82C34882, 0x5D041F11,
+		0x8C613C57, 0xD398CFD1, 0x426F38AD, 0x5599AB1D, 0xFAFA078D, 0xAB25B413,
+		0xD94B32CF, 0xB288FE38, 0x2893BB46, 0x9A0B4168, 0xA91BCA94, 0x653A5E8D,
+		0x2174EBBE, 0xDEFE6415, 0x30DA429C, 0xD0C5E40C, 0xB4719AA4, 0xD29CE7A6,
+		0x905957CD, 0xCD287499, 0x83CA0AA7, 0xA8385832, 0x25A0CA02, 0xC20D47A4,
+		0xB562F556, 0x4BC19E4C, 0xD9E215C7, 0x27E838B4, 0xC58612F4, 0xA2827F6F,
+		0xC49DCDBA, 0x679B7362, 0x4E495845, 0xCFD2F0D1, 0x395E76A0, 0x375A655E,
+		0x92E2058F, 0x73F9F0CA, 0x61EFF3B3, 0x51FFD362, 0xE7410345, 0x7FDA8B3B,
+		0xA219E2E8, 0x17ABE543, 0x26557412, 0x4B30084D, 0xA68E191D, 0xFE0D93DF,
+		0x73EF127D, 0x4DECDDB1, 0x77FAF45F, 0xD6002898, 0x92DD0A40, 0x157F6DDF,
+		0xC2A55F8E, 0x4359F924, 0xFB630C3F, 0x338B6B58, 0xB2945F75, 0x4FA23A0E,
+		0x836EB8C0, 0xB3B18FD, 0x86114337, 0x24668ACB, 0x99BB82F0, 0x924C8A47,
+		0xBA959701, 0x81155ABF, 0x8C612D71, 0x36074CA7, 0xD1668C41, 0xE35F58C7,
+		0x7FC2802D, 0x8E6A7CF3, 0x65B07D07, 0x815F6A6B, 0x791BF0DD, 0x6E47D719,
+		0xC24394C7, 0xE84A6EB, 0xF194AFEE, 0x464A2F52, 0x677579FD, 0xEBA775AE,
+		0x1F6EEFF, 0x9A795237, 0x78D9D45F, 0x9D0B344D, 0xBBD34AB7, 0x2F85B12A,
+		0x16C5C2AD, 0x3990985D, 0x88DF3351, 0x82811AA5, 0x6D351F41, 0x4066A69D,
+		0x86B660BF, 0x6EDB4768, 0xDDD78CF0, 0xB5D74F6E, 0xE89E220C, 0x91439687,
+		0x947CC9C9, 0x3857E2BD, 0x302F8AE4, 0x1DABE7F8, 0x4832D6C9, 0x37D58FCB,
+		0x4EA8A711, 0xCD7BAC98, 0x19DBF8BC, 0xD8DE8DC2, 0xEAFF7E7B, 0xB7629C93,
+		0x792C6E19, 0xF7009192, 0xFF88439D, 0x2E196A66, 0xEC71B78C, 0xEAF4BB3A,
+		0x7C16225E, 0x668F337, 0xCBEE1608, 0x6D5B5552, 0x345DC590, 0x681209CC,
+		0x7B24A819, 0xD08A1416, 0x99888FE3, 0x9FC7288A, 0x24BD8502, 0xEA1D9678,
+		0x20EECA0, 0x59BEA057, 0x5ADE91EB, 0xDEA8E49D, 0xFA200E6F, 0x9149C81D,
+		0xF2281E93, 0x8A5B0451, 0x67312D58, 0xE3B849F1, 0xD2217960, 0x7CDF59F3,
+		0x33C775C0, 0x9EBA8799, 0x7DF9506, 0xB4E96110, 0xB8FCF3E3, 0xDEA059B2,
+		0x8229B6EA, 0x316486F6, 0x43919185, 0x6C0D90F3, 0x1C6F3DF8, 0x38DB92A9,
+		0x5CD41244, 0x2C9F0A7B, 0xDF4A315F, 0xF7CE9C66, 0x4C800860, 0x318D53E0,
+		0xF105C20D, 0xD753E1F2, 0x750810BA, 0xA17ECCA5, 0x2010140, 0x4D884763,
+		0xC2BB0DA7, 0xB2D5BA74, 0x141CECD4, 0x887FDFC3, 0xC64B53, 0x2D2A85F6,
+		0x15532B45, 0x5D5CBCE1, 0xBEB9A16A, 0xA214611B, 0x9FC5AC5F, 0x11AE5DD7,
+		0xA0B9A5A9, 0xFC648AF4, 0x740009AC, 0xED0E0321, 0xB8E6A61, 0x8910C544,
+		0xC74F26C8, 0x9525CCF3, 0xB41AEB59, 0xE61984CE, 0x598B2197, 0xA412E59D,
+		0xE1976DD4, 0xB29BBE16, 0x88FD9FB0, 0xB04006F3, 0xB45E309, 0xD5CC15F1,
+		0xD9DAF630, 0xDC809335, 0x803ED52, 0xB537F5A5, 0xA994F6EB, 0xF5288568,
+		0xF66FD264, 0x2EA2B3A6, 0x647619F3, 0xFFB38C7A, 0x1BC03B9, 0xB6BC3061,
+		0xBF30596E, 0xBE2AD27B, 0x8AC04220, 0x641979A3, 0x9ECCBB89, 0xA144FBC1,
+		0x4E8FAE26, 0x8C5A9D90, 0x299ED467, 0xD7C9C7E3, 0x1D4865ED, 0x76F31C3D,
+		0xCEE81CDF, 0xB479195E, 0x6FFB3AE1, 0xDC8A398, 0x300F7364, 0xC7940AFA,
+		0x3B85BE3E, 0xD98CC40D, 0xA24A3D89, 0x3A674204, 0x22888A38, 0x2E77F2D,
+		0xA2841C9C, 0xCF0689C3, 0x9FE98922, 0x89335017, 0x2D6B69A7, 0xFEDB63F9,
+		0x899AF4EF, 0x9F9F9B40, 0xA4BE97E8, 0xA51DAF7A, 0x16AC50D3, 0xA8D7ED6,
+		0xED193443, 0x7615EF1B, 0xB0DF6A4E, 0x64FFE794, 0xE3DB2C9A, 0x7435B022,
+		0x556E825C, 0x23802AF9, 0xC25098A4, 0xE75A18BB, 0x70B2A7B9, 0x7FB81BF,
+		0x63EF910, 0x6C669591, 0x6574DD2B, 0xCF6E379D, 0xD2B3AFAC, 0x1E6A1101,
+		0x1DE22385, 0x2338191F, 0xC69704B6, 0xCBABC599, 0x54EB4809, 0x7839BE6D,
+		0xD50017DD, 0x39B1A0E1, 0x288D52D3, 0x2D52668C, 0x20D22A68, 0x4E1207D1,
+		0x3FCC0EFE, 0x47F3FE64, 0x25177A90, 0xB4BFDD4D, 0xDA8DBDCE, 0x6F7275A8,
+		0x6BEAA655, 0xAA1810FC, 0xE4DB593A, 0x8A4D4BC0, 0x2C402E93, 0xF1C0F7F9,
+		0x6F0CC577, 0x70412414, 0x752F9DC1, 0xD82E38EA, 0xAC455F7B, 0x4DCD4EDB,
+		0x92BC2696, 0xFB03F135, 0x4FCA1F8C, 0xBD5E75F6, 0x502F41B0, 0x3616D3F1,
+		0x2E5B8E31, 0x2026EB19, 0x57E783D7, 0x467BBE00, 0x4703ABA3, 0x1F776B9C,
+		0xE2570A84, 0xFEC7DB48, 0x1BD5012, 0xFD0A2D5D, 0x7FCC29F2, 0x291304B6,
+		0x99D5D8ED, 0xC7551C8, 0xFD12F38F, 0xBADE8892, 0xDF749997, 0xA5DAE2F,
+		0x2B9FA269, 0x5C13CFED, 0x15E9A399, 0x54437F4E, 0xA72DB2AB, 0x56186AA1,
+		0xFE4DB55C, 0xA34D7836, 0x2A879760, 0xC63FA94, 0xAC18B207, 0x5FC78B3,
+		0x7F10621E, 0xA769E6B2, 0xEC9F4A11, 0xCE3F982C, 0x62BA2EF5, 0xA5F239CD,
+		0x73D63FED, 0xE36E9F5E, 0x8AC1DA0E, 0x3F3DB3EB, 0x738326EA, 0x35C366B1,
+		0xCD476E86, 0x82F6B208, 0xF11A9FC1, 0x426AC396, 0x7E4D1B93, 0x75E4EDB7,
+		0xAF3C44A7, 0x51A5EF5C, 0xFAD2463D, 0x8A5639CA, 0xC995AC78, 0xCC4BE4F6,
+		0x3AFE7F8D, 0x66993D04, 0x4386FF37, 0xCBC1C6C2, 0x55A8F5EC, 0xE81A9A75,
+		0x30A67E1B, 0x4A4A7D0C, 0x20F7F993, 0x1891805, 0x738976AD, 0xD426E7D6,
+		0x3C5CEEBF, 0x4499187F, 0xABF17C97, 0x447C317F, 0x68D8419C, 0x7AAB6456,
+		0x421BCF29, 0xF6740F9C, 0x8916BB8D, 0x3D72AAB, 0x9AD54DD7, 0x7549C6EE,
+		0x7317342B, 0xA18546D4, 0x1056BDA7, 0x54BBCCCE, 0x8CE63E46, 0x5D146234,
+		0x33BE6C63, 0xB250C4E5, 0x89D72335, 0x87C36BA, 0xB65530CC, 0x2DFAC48C,
+		0x1663D16F, 0x59B80AA, 0x950274EA, 0x92532D4A, 0x3CEF802D, 0x492FBDA5,
+		0xA63A2574, 0xEF8005C2, 0x94A18651, 0xAF627ABA, 0x6829B238, 0xA698F646,
+		0xD2598516, 0x10144D36, 0xD9B1D1B9, 0xAB2ACF05, 0x5395B699, 0xA7851C75,
+		0x1806C6F3, 0xAE970306, 0x3284B145, 0x98F4FE8F
+};
+
+/* The source data is random across the q31_t range. Accessing it by word should
+   remain random. */
+const q15_t * controller_q15_inputs = (q15_t *) controller_q31_inputs;
+
+const float32_t controller_f32_inputs[CONTROLLER_MAX_LEN] =
+{
+		43.0264275639 , -17.0525215570 , -94.8488973910 , -8.1924989580  ,
+		7.2830326091   , 66.8368719314  , 33.9778190671  , 117.8652289772 ,
+		-129.6077797465, -14.6420815368 , 18.0239223278  , 20.6760530292  ,
+		55.0375037651  , 1.8674609862   , -85.6534302408 , -33.5750364909 ,
+		29.2110949614  , 110.4727049460 , -94.1914619387 , -1.4084169343  ,
+		83.5181653041  , 47.3073514127  , -13.3420621181 , 30.3389699104  ,
+		12.1188124277  , 100.9730921941 , -114.0146362390, -77.5823200409 ,
+		37.2019034618  , 40.0026301128  , -58.3387276630 , -34.9472398600 ,
+		-5.1169678311  , -87.7660091118 , -150.5888601131, 56.0349370503  ,
+		50.2168884079  , -74.2313236767 , 22.3648603560  , -6.8676387051  ,
+		74.8957303680  , -90.1292012823 , -55.1436241586 , -66.6732976100 ,
+		-6.7918147615  , 7.7612697081   , 35.7892605979  , -20.0470508830 ,
+		41.8369017546  , -143.7378056984, -41.9127158600 , -108.3531841158,
+		-57.1917422289 , -124.2808828105, 38.9316388820  , -77.9212517405 ,
+		37.1990818377  , -28.9545952748 , -155.6371057564, 45.8088886393  ,
+		36.2537018275  , -6.5727656016  , -104.2070491921, 45.5583813729  ,
+		-19.7674717059 , -80.4802190947 , -1.4444563441  , -42.2142256438 ,
+		36.6546339194  , -57.0866498590 , 44.4677067511  , 65.7285753407  ,
+		-103.8158864647, 25.4348723711  , -153.5419639389, 39.3608409474  ,
+		49.1658103436  , 79.5570602275  , 75.2944095996  , 58.9394700746  ,
+		-53.1018534392 , 33.4172444014  , 35.6224682287  , -64.4353396418 ,
+		-125.8464291251, -47.6072111617 , -26.2177687594 , -12.0061322096 ,
+		-17.7887967585 , -28.2926175090 , -62.0691715749 , 40.5098573604  ,
+		-191.1123732593, 119.6750713043 , 19.6182375803  , -26.7615252921 ,
+		2.2957847015   , -108.3436451287, -50.5906164995 , -5.6360985100  ,
+		-11.6772204201 , -84.2765293757 , -60.9317810068 , 82.0446350218  ,
+		-70.2048296348 , 72.8738253222  , 60.2450218115  , 114.2741231228 ,
+		46.8180775285  , 6.9915412654   , -8.9909197429  , -78.9165936808 ,
+		66.4731535459  , -68.4235455651 , -79.8254597080 , -10.6308477115 ,
+		-62.6161569330 , -55.7744410292 , -11.8408366528 , 98.1034940997  ,
+		35.8213741877  , -54.4694482732 , 86.9631830044  , -53.0343838122 ,
+		-47.4898642865 , -47.2010929590 , -31.3312639685 , -23.0908245172 ,
+		12.0258009869  , -5.1098204703  , -9.8420230737  , -107.3328761158,
+		44.6810431959  , -17.9083820345 , -60.9753512872 , -7.5915088994  ,
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+		-7.4546621940  , -52.0657517138 , -49.0404829633 , -114.6910280126,
+		-117.6819819437, -32.7856729408 , 31.8232065591  , 12.1192973039  ,
+		35.2678513420  , -1.0336778293  , 30.7021249679  , 127.0442906046 ,
+		-84.8457819393 , 28.9862843096  , -47.3524701726 , -126.1094998460,
+		-2.9700276582  , -2.4956545870  , -53.8624121141 , -85.2114117637 ,
+		76.9057985618  , 137.1205201755 , -19.0830817212 , 14.3407526579  ,
+		-56.5921994449 , -25.6084873186 , -44.9470801106 , -133.3139496090,
+		0.3487447576   , 33.4499716730  , 34.7126257844  , -9.3307383323  ,
+		27.2996276947  , 10.8765676134  , -91.1032360444 , -90.9584216222 ,
+		1.6981490570   , 96.8557438791  , 56.7726390913  , -44.3246449237 ,
+		52.3260643361  , 21.5551140465  , 27.4535327381  , 2.0072717479   ,
+		7.4823125629   , 77.1185863870  , 16.1372262663  , -10.7206012957
+};
+
+const float32_t controller_f32_coeffs[CONTROLLER_MAX_COEFFS_LEN] =
+{
+	/* S->Kp, S->Ki, S->Kd; */
+	0.0000000000  , -1.0336778293 , 56.7726390913 ,
+	0.3487447576  , 0.0000000000  , 27.4535327381 ,
+	-29.1580893235, 1.6981490570  , 0.0000000000  ,
+	0.0000000000  , 0.0000000000  , -2.4956545870 ,
+	0.0000000000  , 8.7065613044  , 0.0000000000  ,
+	0.0000000000  , 0.0000000000  , 0.0000000000  ,
+	18.1550954005 , -5.9782002429 , 2.0072717479  ,
+	33.1212995259 , -82.1480936443, -10.5479715135,
+	-23.6296332202, 49.1171161163 , 53.1636857935 ,
+	7.2830326091  , 66.8368719314 , 33.9778190671 ,
+	9.4452708243  , 5.3300080251  , 39.0483916714 ,
+	6.9915412654  , -8.9909197429 , -78.9165936808
+};
+
+const q31_t controller_q31_coeffs[CONTROLLER_MAX_COEFFS_LEN] =
+{
+	0x00000000,	0xFEF760E4,	0x38C5CBAD,
+	0x00594756,	0x00000000,	0x1B741AB9,
+	0xE2D78775,	0x01B2B9E6,	0x00000000,
+	0x00000000,	0x00000000,	0xFD811CC8,
+	0x00000000,	0x08B4E134,	0x00000000,
+	0x00000000,	0x00000000,	0x00000000,
+	0x1227B455,	0xFA0594AB,	0x0201DC90,
+	0x211F0D7C,	0xADDA1689,	0xF573B824,
+	0xE85ED05B,	0x311DFB52,	0x3529E750,
+	0x074874D3,	0x42D63D3D,	0x21FA525A,
+	0x0971FD45,	0x05547B68,	0x270C6366,
+	0x06FDD5A6,	0xF7025315,	0xB1155A1E
+};
+
+
+const q15_t controller_q15_coeffs[CONTROLLER_MAX_COEFFS_LEN] =
+{
+	0x0000,	0xFEF7,	0x38C6,
+	0x0059,	0x0000,	0x1B74,
+	0xE2D8,	0x01B3,	0x0000,
+	0x0000,	0x0000,	0xFD81,
+	0x0000,	0x08B5,	0x0000,
+	0x0000,	0x0000,	0x0000,
+	0x1228,	0xFA06,	0x0202,
+	0x211F,	0xADDA,	0xF574,
+	0xE85F,	0x311E,	0x352A,
+	0x0748,	0x42D6,	0x21FA,
+	0x0972,	0x0554,	0x270C,
+	0x06FE,	0xF702,	0xB115
+};
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/controller_test_group.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/controller_test_group.c
new file mode 100644
index 0000000..0f9709e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/controller_test_group.c
@@ -0,0 +1,13 @@
+#include "jtest.h"
+#include "controller_tests.h"
+
+JTEST_DEFINE_GROUP(controller_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_GROUP_CALL(pid_reset_tests);
+    JTEST_GROUP_CALL(pid_tests);
+    JTEST_GROUP_CALL(sin_cos_tests);
+    return;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/pid_reset_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/pid_reset_tests.c
new file mode 100644
index 0000000..a930dbb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/pid_reset_tests.c
@@ -0,0 +1,52 @@
+#include "jtest.h"
+#include "arr_desc.h"
+#include "arm_math.h"
+#include "type_abbrev.h"
+#include "test_templates.h"
+
+/* Bucket of zeros. For comparison with the output of arm_pid_reset_xxx. */
+ARR_DESC_DEFINE(float32_t, zeroes, 3, CURLY(0));
+
+/**
+ *  Define a JTEST_TEST_t for the function arm_pid_reset_xxx function having
+ *  suffix.
+ */
+#define ARM_PID_RESET_TEST(suffix)                                      \
+    JTEST_DEFINE_TEST(arm_pid_reset_##suffix##_test,                    \
+                      arm_pid_reset_##suffix)                           \
+    {                                                                   \
+        /* Initialise the pid_instance */                               \
+        arm_pid_instance_##suffix pid_inst = { 0 };                     \
+            pid_inst.state[0] = (TYPE_FROM_ABBREV(suffix)) 0xffffffff;  \
+            pid_inst.state[1] = (TYPE_FROM_ABBREV(suffix)) 0xffffffff;  \
+            pid_inst.state[2] = (TYPE_FROM_ABBREV(suffix)) 0xffffffff;  \
+                                                                        \
+            /* Display cycle count and run test */                      \
+            JTEST_COUNT_CYCLES(arm_pid_reset_##suffix(&pid_inst));      \
+                                                                        \
+            /* Test correctness */                                      \
+            TEST_ASSERT_BUFFERS_EQUAL(                                  \
+                pid_inst.state,                                         \
+                zeroes.data_ptr,                                        \
+                3 * sizeof(TYPE_FROM_ABBREV(suffix)));                  \
+                                                                        \
+            return JTEST_TEST_PASSED;                                   \
+    }
+
+ARM_PID_RESET_TEST(f32);
+ARM_PID_RESET_TEST(q31);
+ARM_PID_RESET_TEST(q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(pid_reset_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_pid_reset_f32_test);
+    JTEST_TEST_CALL(arm_pid_reset_q31_test);
+    JTEST_TEST_CALL(arm_pid_reset_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/pid_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/pid_tests.c
new file mode 100644
index 0000000..2e1c56e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/pid_tests.c
@@ -0,0 +1,79 @@
+#include "jtest.h"
+#include "arr_desc.h"
+#include "arm_math.h"
+#include "ref.h"
+#include "type_abbrev.h"
+#include "test_templates.h"
+#include "controller_test_data.h"
+#include "controller_templates.h"
+
+/**
+ *  Define a JTEST_TEST_t for the function arm_pid_xxx function having
+ *  suffix.
+ */
+#define ARM_PID_TEST(suffix,type)                                       \
+    JTEST_DEFINE_TEST(arm_pid_##suffix##_test, arm_pid_##suffix)        \
+    {                                                                   \
+            uint32_t i,j;                                               \
+                                                                        \
+            arm_pid_instance_##suffix fut_pid_inst = { 0 };             \
+            arm_pid_instance_##suffix ref_pid_inst = { 0 };             \
+                                                                        \
+            for(i=0;i<CONTROLLER_MAX_COEFFS_LEN/3;i++)                  \
+            {                                                           \
+                fut_pid_inst.Kp = controller_##suffix##_coeffs[i*3+0];  \
+                fut_pid_inst.Ki = controller_##suffix##_coeffs[i*3+1];  \
+                fut_pid_inst.Kd = controller_##suffix##_coeffs[i*3+2];  \
+                ref_pid_inst.Kp = controller_##suffix##_coeffs[i*3+0];  \
+                ref_pid_inst.Ki = controller_##suffix##_coeffs[i*3+1];  \
+                ref_pid_inst.Kd = controller_##suffix##_coeffs[i*3+2];  \
+                                                                        \
+                arm_pid_init_##suffix(&fut_pid_inst, 1);                \
+                arm_pid_init_##suffix(&ref_pid_inst, 1);                \
+                                                                        \
+                /* Display parameter values */                          \
+                JTEST_DUMP_STRF("Block Size: %d\n",                     \
+                                (int)CONTROLLER_MAX_LEN);               \
+                                                                        \
+                /* Display cycle count and run test */                  \
+                JTEST_COUNT_CYCLES(                                     \
+                    for(j=0;j<CONTROLLER_MAX_LEN;j++)                   \
+                    {                                                   \
+                       *((type*)controller_output_fut + j) =            \
+                           arm_pid_##suffix(&fut_pid_inst,              \
+                           controller_##suffix##_inputs[j]);            \
+                    });                                                 \
+                                                                        \
+                for(j=0;j<CONTROLLER_MAX_LEN;j++)                       \
+                {                                                       \
+                   *((type*)controller_output_ref + j) =                \
+                        ref_pid_##suffix(&ref_pid_inst,                 \
+                        controller_##suffix##_inputs[j]);               \
+                }                                                       \
+                                                                        \
+                /* Test correctness */                                  \
+                CONTROLLER_SNR_COMPARE_INTERFACE(                       \
+                        CONTROLLER_MAX_LEN,                             \
+                        type);                                          \
+            }                                                           \
+                                                                        \
+            return JTEST_TEST_PASSED;                                   \
+    }
+
+ARM_PID_TEST(f32,float32_t);
+ARM_PID_TEST(q31,q31_t);
+ARM_PID_TEST(q15,q15_t);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(pid_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_pid_f32_test);
+    JTEST_TEST_CALL(arm_pid_q31_test);
+    JTEST_TEST_CALL(arm_pid_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/sin_cos_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/sin_cos_tests.c
new file mode 100644
index 0000000..e3887ac
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/controller_tests/sin_cos_tests.c
@@ -0,0 +1,151 @@
+#include "jtest.h"
+#include "arr_desc.h"
+#include "arm_math.h"
+#include "ref.h"
+#include "type_abbrev.h"
+#include "test_templates.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Input Data */
+/*--------------------------------------------------------------------------------*/
+
+ARR_DESC_DEFINE(float32_t,
+                arm_sin_cos_degrees_f32,
+                9,
+                CURLY(
+                    0,
+                    17,
+                    45,
+                    90,
+                    180,
+                    360,
+                    362,
+                    -73,
+                    -191.111
+                      ));
+
+/* The Q31 version of the function maps numbers in the range [-1, 0.9999999]
+ * to degrees in the range [-180, 179]*/
+ARR_DESC_DEFINE(q31_t,
+                arm_sin_cos_degrees_q31,
+                6,
+                CURLY(
+                    0,
+                    0x80000000, /* -1 */
+                    0x7fffffff, /* 0.99999 */
+                    /* Randoms */
+                    0xf7badafa,
+                    0x285954a1,
+                    0xb9d09511
+                      ));
+
+/*--------------------------------------------------------------------------------*/
+/* Output Variables */
+/*--------------------------------------------------------------------------------*/
+float32_t sin_val_fut = 0;
+float32_t cos_val_fut = 0;
+float32_t sin_val_ref = 0;
+float32_t cos_val_ref = 0;
+
+/*--------------------------------------------------------------------------------*/
+/* Test Definitions */
+/*--------------------------------------------------------------------------------*/
+
+#define MAX_DELTA_f32 50.0e-8f
+#define ABS(x) ((x) > 0 ? (x) : -(x))
+
+/*
+  Function to test correctness of sin_cos output by comparing it with reference library
+*/
+#define COMPARISON_INTERFACE(type, threshold)                           \
+    if ( (ABS((type) sin_val_ref - (type) sin_val_fut) >                 \
+         (type) threshold ) ||                                          \
+        (ABS((type) cos_val_ref - (type) cos_val_fut) >                 \
+         (type) threshold))                                             \
+    {                                                                   \
+        JTEST_DUMP_STRF("Error: %f %f\n",                               \
+                        ABS((type) sin_val_ref - (type) sin_val_fut),   \
+                        ABS((type) cos_val_ref - (type) cos_val_fut));  \
+        return JTEST_TEST_FAILED;                                       \
+    }
+
+/*
+  Sine and cosine test function for float32_t input
+*/
+JTEST_DEFINE_TEST(arm_sin_cos_f32_test, arm_sin_cos_f32)
+{
+    /* Test function for all input degree values */
+    TEMPLATE_DO_ARR_DESC(
+        degree_idx, TYPE_FROM_ABBREV(f32),
+        degree, arm_sin_cos_degrees_f32
+        ,
+        /* Display cycle count and run test */
+        JTEST_COUNT_CYCLES(
+            arm_sin_cos_f32(
+                degree,
+                (TYPE_FROM_ABBREV(f32) *) &sin_val_fut,
+                (TYPE_FROM_ABBREV(f32) *) &cos_val_fut)
+        );
+        ref_sin_cos_f32(
+            degree,
+            (TYPE_FROM_ABBREV(f32) *) &sin_val_ref,
+            (TYPE_FROM_ABBREV(f32) *) &cos_val_ref);
+
+        /* Test correctness */
+        COMPARISON_INTERFACE(
+            TYPE_FROM_ABBREV(f32),
+            MAX_DELTA_f32));
+
+    return JTEST_TEST_PASSED;
+}
+
+
+/*
+  Sine and cosine test function for q31_t input
+*/
+JTEST_DEFINE_TEST(arm_sin_cos_q31_test,
+                  arm_sin_cos_q31)
+{
+    /* Test function for all input degree values */
+    TEMPLATE_DO_ARR_DESC(
+        degree_idx, TYPE_FROM_ABBREV(q31),
+        degree, arm_sin_cos_degrees_q31
+        ,
+        /* Display cycle count and run test */
+        JTEST_COUNT_CYCLES(
+            arm_sin_cos_q31(
+                degree,
+                (TYPE_FROM_ABBREV(q31) *) &sin_val_fut,
+                (TYPE_FROM_ABBREV(q31) *) &cos_val_fut)
+        );
+        ref_sin_cos_q31(
+            degree,
+            (TYPE_FROM_ABBREV(q31) *) &sin_val_ref,
+            (TYPE_FROM_ABBREV(q31) *) &cos_val_ref);
+
+        /* Convert q31 numbers to float for comparison purposes. */
+        ref_q31_t_to_float((TYPE_FROM_ABBREV(q31) *) &sin_val_fut, &sin_val_fut, 1);
+        ref_q31_t_to_float((TYPE_FROM_ABBREV(q31) *) &cos_val_fut, &cos_val_fut, 1);
+        ref_q31_t_to_float((TYPE_FROM_ABBREV(q31) *) &sin_val_ref, &sin_val_ref, 1);
+        ref_q31_t_to_float((TYPE_FROM_ABBREV(q31) *) &cos_val_ref, &cos_val_ref, 1);
+
+        /* Test correctness */
+        COMPARISON_INTERFACE(
+            TYPE_FROM_ABBREV(f32),
+            MAX_DELTA_f32));
+
+    return JTEST_TEST_PASSED;
+}
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(sin_cos_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_sin_cos_f32_test);
+    JTEST_TEST_CALL(arm_sin_cos_q31_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/fast_math_tests/fast_math_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/fast_math_tests/fast_math_tests.c
new file mode 100644
index 0000000..50ec433
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/fast_math_tests/fast_math_tests.c
@@ -0,0 +1,38 @@
+#include "jtest.h"
+#include "ref.h"
+#include "arr_desc.h"
+#include "fast_math_templates.h"
+#include "fast_math_test_data.h"
+#include "type_abbrev.h"
+
+SQRT_TEST_TEMPLATE_ELT1(q31);
+SQRT_TEST_TEMPLATE_ELT1(q15);
+
+SIN_COS_TEST_TEMPLATE_ELT1(f32, float32_t, sin);
+SIN_COS_TEST_TEMPLATE_ELT1(q31, q31_t, sin);
+SIN_COS_TEST_TEMPLATE_ELT1(q15, q15_t, sin);
+
+SIN_COS_TEST_TEMPLATE_ELT1(f32, float32_t, cos);
+SIN_COS_TEST_TEMPLATE_ELT1(q31, q31_t, cos);
+SIN_COS_TEST_TEMPLATE_ELT1(q15, q15_t, cos);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(fast_math_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_sqrt_q31_test);
+    JTEST_TEST_CALL(arm_sqrt_q15_test);
+
+    JTEST_TEST_CALL(arm_sin_f32_test);
+    JTEST_TEST_CALL(arm_sin_q31_test);
+    JTEST_TEST_CALL(arm_sin_q15_test);
+
+    JTEST_TEST_CALL(arm_cos_f32_test);
+    JTEST_TEST_CALL(arm_cos_q31_test);
+    JTEST_TEST_CALL(arm_cos_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/fast_math_tests/fast_math_tests_common_data.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/fast_math_tests/fast_math_tests_common_data.c
new file mode 100644
index 0000000..1b2d99e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/fast_math_tests/fast_math_tests_common_data.c
@@ -0,0 +1,370 @@
+#include "fast_math_test_data.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Input/Output Buffers */
+/*--------------------------------------------------------------------------------*/
+
+float32_t fast_math_output_fut[FAST_MATH_MAX_LEN] = {0};
+float32_t fast_math_output_ref[FAST_MATH_MAX_LEN] = {0};
+float32_t fast_math_output_f32_fut[FAST_MATH_MAX_LEN] = {0};
+float32_t fast_math_output_f32_ref[FAST_MATH_MAX_LEN] = {0};
+
+const q31_t fast_math_q31_inputs[FAST_MATH_MAX_LEN] =
+{
+    0x414A5524, 0x4CAB5A17, 0x2D6F5B56, 0x7DAF4E3B, 0x29B226EB, 0x41F6F6A ,
+    0x25CE38BF, 0x3A970AFA, 0x3A44382A, 0x05540F8 , 0x3D060524, 0x13D56570,
+    0x17D7791D, 0x7FE0438C, 0x26741841, 0x40A66E54, 0x218E4386, 0x39FF3726,
+    0x0DC177CA, 0x702F2CF5, 0x41142FF1, 0x6C1476AB, 0x15F640DD, 0x662C4E49,
+    0x38055E7E, 0x770871FE, 0x4F8B5360, 0x0D1928A0, 0x57647821, 0x258558CF,
+    0x0C0C604D, 0x50A46C19, 0x66D2370D, 0x50FA359A, 0x36462E24, 0x6CE00F5C,
+    0x66D40948, 0x355B5831, 0x3B72150A, 0x1EB61530, 0x73394127, 0x773F26F4,
+    0x18052980, 0x038D6587, 0x1CF517F4, 0x22AD1691, 0x7A812473, 0x7CDC7D7F,
+    0x4A5110D0, 0x6D895BB9, 0x0FD60F35, 0x1A215530, 0x20EB6DDA, 0x3DE62516,
+    0x250123E1, 0x5ED813C8, 0x61E175B1, 0x2CBB32F3, 0x6D350907, 0x5B140D7E,
+    0x6EAE272D, 0x3E221841, 0x418B7B88, 0x26BB1B80, 0x3CF010E4, 0x24DB166C,
+    0x79AB7E42, 0x62DF28D1, 0x47004665, 0x63F56FC6, 0x419E0C75, 0x46BE1F38,
+    0x243239B2, 0x758D03E0, 0x5CE12926, 0x3F574B74, 0x1F4458E2, 0x71D5639 ,
+    0x03A17B49, 0x173A7C76, 0x06EF7531, 0x48D32F34, 0x7D3E3063, 0x0F2F3549,
+    0x5C314C9 , 0x18CB6B6D, 0x26F83697, 0x447B1E9C, 0x2E323A33, 0x50745715,
+    0x01AC5746, 0x655A4E04, 0x4891060F, 0x1DA36B4F, 0x60E6227F, 0x20BF5EB4,
+    0x50B3225B, 0x40C10544, 0x415656C , 0x15405EAE, 0x185863E1, 0x236A1C4E,
+    0x08BD21F9, 0x2ACF7A68, 0x773665E5, 0x4EDF5F66, 0x617A1610, 0x524F4968,
+    0x42D006CD, 0x5F000079, 0x24DC2447, 0x6A4F5599, 0x37064D4A, 0x1DE70608,
+    0x233A2EE5, 0x137E488E, 0x18061B7B, 0x4079569D, 0x24A817D5, 0x44CE48F5,
+    0x575F7883, 0x22406802, 0x71AD70BB, 0x1D4A5D79, 0x3CBC7CE4, 0x335840D8,
+    0x05792E47, 0x27AD2C05, 0x3D196EAB, 0x331A40AF, 0x33035831, 0x13D93987,
+    0x7C542094, 0x045F317E, 0x5DC43F8B, 0x1379650C, 0x5C20193F, 0x7DD50298,
+    0x1D482B82, 0x4A6B6062, 0x5C8A757B, 0x272917C1, 0x10E16FBC, 0x355A5882,
+    0x66F86A35, 0x604555A1, 0x7DF7FBB , 0x758A6216, 0x1A113463, 0x53541BAD,
+    0x21576756, 0x483B6D8D, 0x1F052FCC, 0x4EA63DFB, 0x55B84677, 0x7B2E04F2,
+    0x787A796C, 0x04A12CD3, 0x46029BD , 0x1DB22DD8, 0x1A8C7F28, 0x061E452E,
+    0x132D3F78, 0x76525852, 0x73357BBA, 0x6BBB0A58, 0x62536AFA, 0x3F6B65EF,
+    0x6DC57B58, 0x1EB718CE, 0x66B02740, 0x5FF60B47, 0x32477B8F, 0x7FF35302,
+    0x29FD3E40, 0x475A43D1, 0x6FF9528A, 0x2018209D, 0x47E079C9, 0x4CF576D3,
+    0x28074E34, 0x5D6F58ED, 0x234045D1, 0x51CE35F9, 0x25297896, 0x644320FE,
+    0x0F4449A9, 0x54C361C6, 0x701D52F1, 0x4E094820, 0x718F0810, 0x61540689,
+    0x79DE5A1F, 0x52865C23, 0x48AC3A4B, 0x6A0C1BE0, 0x21B705DB, 0x7086465D,
+    0x1CC10929, 0x1E1D716E, 0x6D231D4C, 0x20495108, 0x38FF1971, 0x149C78D4,
+    0x441F1E8B, 0x43D95372, 0x69C324B4, 0x210B7DC9, 0x47815E78, 0x02476137,
+    0x6163DDF , 0x390D6EC2, 0x2F684E5B, 0x0E680ABD, 0x02232615, 0x12593380,
+    0x7B1465FE, 0x065A6957, 0x130F53EB, 0x6D772EF7, 0x10E916B6, 0x63BC7A68,
+    0x2ACB00BB, 0x651C5590, 0x194714B5, 0x730904EE, 0x59BB61B4, 0x34867DBC,
+    0x391C706C, 0x3C164218, 0x28931CD0, 0x129A66AB, 0x13171F4D, 0x62882872,
+    0x4B167FD4, 0x66902F4C, 0x7A794932, 0x54B152C , 0x30856EA9, 0x39466D55,
+    0x36696451, 0x0F5B1E8C, 0x077A3C6A, 0x51B956B4, 0x367E2D2A, 0x1D2C662A,
+    0x78FB6880, 0x4E6D40B6, 0x40706FDC, 0x4DF9679C, 0x20306EDB, 0x63812AE7,
+    0x255D2748, 0x1B8B617B, 0x3E036FAD, 0x04E444A7, 0x55A37517, 0x669B2988,
+    0x18FD5E8C, 0x67BD05CE, 0x34BB346C, 0x76994800, 0x05B958B6, 0x6DFA2FEF,
+    0x2055B5C , 0x1F843C4C, 0x72721B52, 0x73EF6B86, 0x5FB90B61, 0x43235DAC,
+    0x31D424B4, 0x768C0D7E, 0x162F2F9D, 0x7B2A7A99, 0x79392693, 0x442D12C0,
+    0x0692273E, 0x59A16E80, 0x5D956856, 0x44E73DAC, 0x0D874532, 0x5F5C1DD0,
+    0x5D167858, 0x05597EA2, 0x1D821476, 0x59654ED2, 0x594C0DC7, 0x1A873506,
+    0x3F693200, 0x7A651AB5, 0x20CC3C8A, 0x1F9E662C, 0x78E7631 , 0x2A01DA0 ,
+    0x3088472F, 0x12EE0D42, 0x360D4D5F, 0x73337E48, 0x0D634C06, 0x233A0ACB,
+    0x706651ED, 0x7AA54079, 0x262239D1, 0x3EBB6BB6, 0x225A4F3D, 0x32581A06,
+    0x6E6F5780, 0x577377C7, 0x75ED1DDC, 0x10DF2D15, 0x3C7929BC, 0x37175917,
+    0x354E381C, 0x762A2DD7, 0x76435AC1, 0x73BB749E, 0x52FE4E7E, 0x6C8140F4,
+    0x57694875, 0x12D30822, 0x474227CF, 0x37926D98, 0x121C7E24, 0x204E1EE7,
+    0x58C6268 , 0x2152080 , 0x316C3323, 0x7AB14A31, 0x61C13C03, 0x7D8E74F1,
+    0x73F446D0, 0x6C6C6A0A, 0x3BFD79FB, 0x67242969, 0x3E5524EB, 0x0FF5534 ,
+    0x52F05F1C, 0x17102DE3, 0x540F4A21, 0x798468E7, 0x419545EB, 0x193F7880,
+    0x2B246B20, 0x408A2BC4, 0x4BF66A49, 0x40894C55, 0x4CAA6398, 0x247856E9,
+    0x2F2A647D, 0x22F55D33, 0x70D37915, 0x50634C72, 0x5983671 , 0x2BCC5AF8,
+    0x1A77D48 , 0x411B5CFA, 0x71074D7E, 0x3A6B3593, 0x61425F05, 0x6271012A,
+    0x5B830310, 0x3D8418CA, 0x10A50792, 0x239F7137, 0x213D5071, 0x7F9930D4,
+    0x2462664F, 0x54180F8E, 0x291505BA, 0x6586387A, 0x144B2C12, 0x18E425C7,
+    0x3AA43373, 0x18F0503C, 0x19462AC0, 0x58B452EF, 0x72473895, 0x26BF5435,
+    0x6DA553B , 0x60912FA6, 0x5C337331, 0x3D93CD7 , 0x4D035752, 0x20691929,
+    0x389962F9, 0x36E701E9, 0x758B642C, 0x5FCA69E3, 0x596027F4, 0x2D5A2FD0,
+    0x5F18324A, 0x3DB165AA, 0x76BA3876, 0x1BC21AF6, 0x3CC10841, 0x73A60174,
+    0x625B7F58, 0x67C57724, 0x4458653C, 0x61573095, 0x2B370837, 0x03DF6CE3,
+    0x5D086EFA, 0x3F5227C2, 0x191B4785, 0x60843D82, 0x30DE11F1, 0x105E226C,
+    0x6E1C7AA2, 0x47AA5D14, 0x36676D03, 0x3B8D4DF6, 0x7372694 , 0x409521DC,
+    0x744206A , 0x4722023F, 0x2BE46AD5, 0x63E11D76, 0x4A4A09AB, 0x5CF252B9,
+    0x31586916, 0x4DFD7D84, 0x32037634, 0x2D7329D4, 0x4524582F, 0x2E5366C1,
+    0x3B0E019B, 0x38530C6A, 0x6A2542D , 0x0A6A00E5, 0x119725CC, 0x54065347,
+    0x1B6F7AF1, 0x6CCF71F1, 0x181117F2, 0x71674A76, 0x74F43880, 0x77A55F47,
+    0x59EA5B62, 0x4A331D95, 0x3CBB276F, 0x245C4D50, 0x4718D5  , 0x07CE05D1,
+    0x60D47AD5, 0x25CA1C40, 0x30061766, 0x669B39DF, 0x3D5F1320, 0x19306AD3,
+    0x28B30325, 0x0DD090F , 0x6A6E6F37, 0x2DF16F66, 0x2B514C7E, 0x31101C58,
+    0x7D4847FC, 0x515341CA, 0x77AB0EA6, 0x41320DAF, 0x3AF8531E, 0x24B31611,
+    0x6D377331, 0x7A832A22, 0x222511C7, 0x722D1F89, 0x3B194F18, 0x261B0A4D,
+    0x43F676DB, 0x4F8C6D61, 0x190F2250, 0x202E72A9, 0x560D4EA2, 0x308E67B4,
+    0x36746663, 0x17CC3852, 0x27EB2EAC, 0x7FDE0AA8, 0x264719A , 0x23261EDD,
+    0x3C0B339E, 0x06284D40, 0x48D82ECB, 0x24D44CF8, 0x43631B91, 0x4BF04248,
+    0x36497B9B, 0x68273C58, 0x630B7AF9, 0x20CC3F26, 0x6C3B7B71, 0x574433ED,
+    0x7A2552F6, 0x4CDE642D, 0x565B0142, 0x26F9207F, 0x67A207BE, 0x5B506684,
+    0x44DA4780, 0x11756A0C, 0x156104AF, 0x415561B0, 0x6E3A6886, 0x1DBA1EA2,
+    0x542359C8, 0x4C024E22, 0x758F052A, 0x1DD6395 , 0x2D194BAD, 0x616475A1,
+    0x42084602, 0x09C274AD, 0x13CB5562, 0x57FE2D5B, 0x607A4EE5, 0x16723A91,
+    0x4F624CCF, 0x2E5E24A3, 0x28FE6FAF, 0x3DDA6EF4, 0x32AF540C, 0x19A57B3B,
+    0x5D1D73A3, 0x23424B3E, 0x278445F5, 0x53971C3B, 0x427D7943, 0x5221358C,
+    0x26CE1A5E, 0x7B506CA4, 0x3B86636E, 0x60831F6D, 0x45E142F3, 0x21B77B04,
+    0x7BB65E0C, 0x78B80F5E, 0x7D8D172B, 0x3BF33A90, 0x2D572D9 , 0x2B5B4920,
+    0x36A05E01, 0x52745306, 0x47C64855, 0x1CAA669B, 0x304A2641, 0x4D6B1760,
+    0x3E176D79, 0x523241B0, 0x24A67957, 0x4BDE76AF, 0x4E5F1493, 0x4C215DA5,
+    0x33A052B , 0x1A4D00C2, 0x40AE6BCA, 0x390D106B, 0x69E86018, 0x5AF356CF,
+    0x63561D4 , 0x44F31C6 , 0x14B6299B, 0x0D2E25F0, 0x4CBF132A, 0x45AC18B6,
+    0x2227567D, 0x06B54E2F, 0x26344534, 0x22C515EC, 0x2442370D, 0x6C3721C6,
+    0x34EF687D, 0x1C06323A, 0x6AF36A60, 0x60396F52, 0x6AE70AA1, 0x49D06CBC,
+    0x6F9576C8, 0x584C4258, 0x3A9A27BB, 0x66DF0D47, 0x1D4804EA, 0x57DD1E67,
+    0x789C7895, 0x75336111, 0x25C122C8, 0x62742114, 0x4FBF6D26, 0x3F9F6482,
+    0x66F02CD9, 0x11083202, 0x499E2618, 0x7EBC1351, 0x440112F1, 0x49DF7BC1,
+    0x3BF45C25, 0x31BA7FA0, 0x61AF1AED, 0x6B1F7D29, 0x2D865294, 0x63E01129,
+    0x7E9E77A5, 0x100435D7, 0x1FE3A71 , 0x08597C81, 0x722849FA, 0x31C520AF,
+    0x7BA178DC, 0x7F102D31, 0x5CA07864, 0x150E6F98, 0x02C34882, 0x5D041F11,
+    0x0C613C57, 0x53984FD1, 0x426F38AD, 0x55992B1D, 0x7AFA078D, 0x2B253413,
+    0x594B32CF, 0x32887E38, 0x28933B46, 0x1A0B4168, 0x291B4A94, 0x653A5E8D,
+    0x21746BBE, 0x5EFE6415, 0x30DA429C, 0x50C5640C, 0x34711AA4, 0x529C67A6,
+    0x105957CD, 0x4D287499, 0x03CA0AA7, 0x28385832, 0x25A04A02, 0x420D47A4,
+    0x35627556, 0x4BC11E4C, 0x59E215C7, 0x27E838B4, 0x458612F4, 0x22827F6F,
+    0x449D4DBA, 0x679B7362, 0x4E495845, 0x4FD270D1, 0x395E76A0, 0x375A655E,
+    0x12E2058F, 0x73F970CA, 0x61EF73B3, 0x51FF5362, 0x67410345, 0x7FDA0B3B,
+    0x221962E8, 0x17AB6543, 0x26557412, 0x4B30084D, 0x268E191D, 0x7E0D13DF,
+    0x73EF127D, 0x4DEC5DB1, 0x77FA745F, 0x56002898, 0x12DD0A40, 0x157F6DDF,
+    0x42A55F8E, 0x43597924, 0x7B630C3F, 0x338B6B58, 0x32945F75, 0x4FA23A0E,
+    0x036E38C0, 0x33B18FD , 0x06114337, 0x24660ACB, 0x19BB02F0, 0x124C0A47,
+    0x3A951701, 0x01155ABF, 0x0C612D71, 0x36074CA7, 0x51660C41, 0x635F58C7,
+    0x7FC2002D, 0x0E6A7CF3, 0x65B07D07, 0x015F6A6B, 0x791B70DD, 0x6E475719,
+    0x424314C7, 0x68426EB , 0x71942FEE, 0x464A2F52, 0x677579FD, 0x6BA775AE,
+    0x1F66EFF , 0x1A795237, 0x78D9545F, 0x1D0B344D, 0x3BD34AB7, 0x2F85312A,
+    0x16C542AD, 0x3990185D, 0x08DF3351, 0x02811AA5, 0x6D351F41, 0x4066269D,
+    0x06B660BF, 0x6EDB4768, 0x5DD70CF0, 0x35D74F6E, 0x689E220C, 0x11431687,
+    0x147C49C9, 0x385762BD, 0x302F0AE4, 0x1DAB67F8, 0x483256C9, 0x37D50FCB,
+    0x4EA82711, 0x4D7B2C98, 0x19DB78BC, 0x58DE0DC2, 0x6AFF7E7B, 0x37621C93,
+    0x792C6E19, 0x77001192, 0x7F88439D, 0x2E196A66, 0x6C71378C, 0x6AF43B3A,
+    0x7C16225E, 0x6687337 , 0x4BEE1608, 0x6D5B5552, 0x345D4590, 0x681209CC,
+    0x7B242819, 0x508A1416, 0x19880FE3, 0x1FC7288A, 0x24BD0502, 0x6A1D1678,
+    0x20E6CA0 , 0x59BE2057, 0x5ADE11EB, 0x5EA8649D, 0x7A200E6F, 0x1149481D,
+    0x72281E93, 0x0A5B0451, 0x67312D58, 0x63B849F1, 0x52217960, 0x7CDF59F3,
+    0x33C775C0, 0x1EBA0799, 0x7DF1506 , 0x34E96110, 0x38FC73E3, 0x5EA059B2,
+    0x022936EA, 0x316406F6, 0x43911185, 0x6C0D10F3, 0x1C6F3DF8, 0x38DB12A9,
+    0x5CD41244, 0x2C9F0A7B, 0x5F4A315F, 0x77CE1C66, 0x4C800860, 0x318D53E0,
+    0x7105420D, 0x575361F2, 0x750810BA, 0x217E4CA5, 0x2010140 , 0x4D884763,
+    0x42BB0DA7, 0x32D53A74, 0x141C6CD4, 0x087F5FC3, 0x464B53  , 0x2D2A05F6,
+    0x15532B45, 0x5D5C3CE1, 0x3EB9216A, 0x2214611B, 0x1FC52C5F, 0x11AE5DD7,
+    0x20B925A9, 0x7C640AF4, 0x740009AC, 0x6D0E0321, 0x38E6A61 , 0x09104544,
+    0x474F26C8, 0x15254CF3, 0x341A6B59, 0x661904CE, 0x598B2197, 0x2412659D,
+    0x61976DD4, 0x329B3E16, 0x08FD1FB0, 0x304006F3, 0x3456309 , 0x55CC15F1,
+    0x59DA7630, 0x5C801335, 0x0036D52 , 0x353775A5, 0x299476EB, 0x75280568,
+    0x766F5264, 0x2EA233A6, 0x647619F3, 0x7FB30C7A, 0x1BC03B9 , 0x36BC3061,
+    0x3F30596E, 0x3E2A527B, 0x0AC04220, 0x641979A3, 0x1ECC3B89, 0x21447BC1,
+    0x4E8F2E26, 0x0C5A1D90, 0x299E5467, 0x57C947E3, 0x1D4865ED, 0x76F31C3D,
+    0x4EE81CDF, 0x3479195E, 0x6FFB3AE1, 0x5C82398 , 0x300F7364, 0x47940AFA,
+    0x3B853E3E, 0x598C440D, 0x224A3D89, 0x3A674204, 0x22880A38, 0x2E77F2D ,
+    0x22841C9C, 0x4F0609C3, 0x1FE90922, 0x09335017, 0x2D6B69A7, 0x7EDB63F9,
+    0x099A74EF, 0x1F9F1B40, 0x24BE17E8, 0x251D2F7A, 0x16AC50D3, 0x28D7ED6 ,
+    0x6D193443, 0x76156F1B, 0x30DF6A4E, 0x64FF6794, 0x63DB2C9A, 0x74353022,
+    0x556E025C, 0x23802AF9, 0x425018A4, 0x675A18BB, 0x70B227B9, 0x7FB01BF ,
+    0x63E7910 , 0x6C661591, 0x65745D2B, 0x4F6E379D, 0x52B32FAC, 0x1E6A1101,
+    0x1DE22385, 0x2338191F, 0x469704B6, 0x4BAB4599, 0x54EB4809, 0x78393E6D,
+    0x550017DD, 0x39B120E1, 0x288D52D3, 0x2D52668C, 0x20D22A68, 0x4E1207D1,
+    0x3FCC0EFE, 0x47F37E64, 0x25177A90, 0x34BF5D4D, 0x5A8D3DCE, 0x6F7275A8,
+    0x6BEA2655, 0x2A1810FC, 0x64DB593A, 0x0A4D4BC0, 0x2C402E93, 0x71C077F9,
+    0x6F0C4577, 0x70412414, 0x752F1DC1, 0x582E38EA, 0x2C455F7B, 0x4DCD4EDB,
+    0x12BC2696, 0x7B037135, 0x4FCA1F8C, 0x3D5E75F6, 0x502F41B0, 0x361653F1,
+    0x2E5B0E31, 0x20266B19, 0x57E703D7, 0x467B3E00, 0x47032BA3, 0x1F776B9C,
+    0x62570A84, 0x7EC75B48, 0x1BD5012 , 0x7D0A2D5D, 0x7FCC29F2, 0x291304B6,
+    0x19D558ED, 0x47551C8 , 0x7D12738F, 0x3ADE0892, 0x5F741997, 0x25D2E2F ,
+    0x2B9F2269, 0x5C134FED, 0x15E92399, 0x54437F4E, 0x272D32AB, 0x56186AA1,
+    0x7E4D355C, 0x234D7836, 0x2A871760, 0x4637A94 , 0x2C183207, 0x5FC78B3 ,
+    0x7F10621E, 0x276966B2, 0x6C9F4A11, 0x4E3F182C, 0x62BA2EF5, 0x25F239CD,
+    0x73D63FED, 0x636E1F5E, 0x0AC15A0E, 0x3F3D33EB, 0x738326EA, 0x35C366B1,
+    0x4D476E86, 0x02F63208, 0x711A1FC1, 0x426A4396, 0x7E4D1B93, 0x75E46DB7,
+    0x2F3C44A7, 0x51A56F5C, 0x7AD2463D, 0x0A5639CA, 0x49952C78, 0x4C4B64F6,
+    0x3AFE7F8D, 0x66993D04, 0x43867F37, 0x4BC146C2, 0x55A875EC, 0x681A1A75,
+    0x30A67E1B, 0x4A4A7D0C, 0x20F77993, 0x1891805 , 0x738976AD, 0x542667D6,
+    0x3C5C6EBF, 0x4499187F, 0x2BF17C97, 0x447C317F, 0x68D8419C, 0x7AAB6456,
+    0x421B4F29, 0x76740F9C, 0x09163B8D, 0x3D72AAB , 0x1AD54DD7, 0x754946EE,
+    0x7317342B, 0x218546D4, 0x10563DA7, 0x54BB4CCE, 0x0CE63E46, 0x5D146234,
+    0x33BE6C63, 0x325044E5, 0x09D72335, 0x07C36BA , 0x365530CC, 0x2DFA448C,
+    0x1663516F, 0x59B00AA , 0x150274EA, 0x12532D4A, 0x3CEF002D, 0x492F3DA5,
+    0x263A2574, 0x6F8005C2, 0x14A10651, 0x2F627ABA, 0x68293238, 0x26987646,
+    0x52590516, 0x10144D36, 0x59B151B9, 0x2B2A4F05, 0x53953699, 0x27851C75,
+    0x180646F3, 0x2E970306, 0x32843145, 0x18F4FE8F
+};
+
+/* The source data is random across the q31_t range. Accessing it by word should
+   remain random. */
+const q15_t * fast_math_q15_inputs = (q15_t *) fast_math_q31_inputs;
+
+const float32_t fast_math_f32_inputs[FAST_MATH_MAX_LEN] =
+{
+    /* Special values close to increments of pi/2 */
+    -0.0,       0.0,        -1.5E-07,   1.5E-07,    1.5707964,  1.5707965,
+    -1.5707964, -1.5707965, 3.1415925,  3.1415927,  -3.1415925, -3.1415927, 
+    6.2831855,  6.283186,   -6.2831855, -6.283186, 
+
+    /* Test some slightly larger values too */
+    10.1,       -13.2,
+
+    /* Random values (0, 2pi) */
+    -1.3684878, 1.1444261, 0.2627620, 0.6719343, 3.8732286, 5.9040643,
+    -2.2271110, 2.5800587, 6.1848498, 5.9412493, 4.2514839, 6.2096863,
+    -4.8181437, 2.1155439, 4.1618680, 1.5341357, 1.8567268, 4.2736867,
+    -3.3165594, 2.5861183, 3.7864876, 4.7156566, 3.6664471, 3.4670146,
+    -3.6666823, 3.2158594, 0.5189454, 4.5211925, 6.2590334, 2.2276047,
+    -6.1025991, 2.1768018, 5.5703194, 2.8569321, 2.5976403, 1.3680509,
+    -0.7895111, 1.9409676, 4.5622487, 4.9189303, 4.3591961, 0.0615894,
+    -5.2980657, 5.7951829, 4.8440482, 0.2680398, 2.3762136, 4.4254964,
+    -4.5836656, 1.4091744, 1.6905207, 4.2287795, 3.0001720, 3.9189258,
+    -1.4856273, 1.1129014, 5.2128031, 4.8187110, 5.8715002, 0.6778860,
+    -1.1449692, 0.6226340, 3.0772767, 1.2141962, 5.6290528, 0.6225986,
+    -0.2775005, 3.5015887, 4.8537297, 1.9599772, 1.1245801, 2.1297213,
+    -1.3203840, 3.2053828, 5.6948550, 3.9516457, 0.6379562, 2.4558128,
+    -0.3431663, 3.1496534, 2.7125841, 6.2678565, 5.0994494, 3.0514394,
+    -5.6199810, 0.8642307, 2.4504731, 5.8267510, 5.7647838, 4.4835177,
+    3.8851284, 2.1569414, 5.8812331, 0.7839784, 4.5904032, 4.0619375,
+    5.2348483, 2.5024810, 4.7112719, 5.2478452, 2.0260784, 3.4699621,
+    6.1520498, 3.4514073, 2.0761128, 3.8922546, 2.2659464, 4.7532896,
+    2.6006151, 3.0934955, 4.3652005, 6.1118673, 2.0593452, 5.2640727,
+    4.6437278, 5.9952549, 0.2005758, 2.2422740, 4.1635768, 1.7687265,
+    1.4475395, 4.4681525, 3.9243074, 3.7109036, 4.1496541, 0.2987948,
+    2.1914796, 2.8358565, 1.5136507, 4.4927603, 5.3795520, 1.7687650,
+    4.5933278, 0.8655898, 5.2572843, 0.8708603, 3.6958286, 2.3006310,
+    5.0690197, 3.1653480, 3.0762120, 5.5106597, 2.2188555, 2.8239372,
+    6.0540393, 0.2657649, 6.1132775, 1.1888217, 4.1916405, 3.6847088,
+    4.2418564, 2.2683684, 3.8973243, 5.0966113, 0.1209983, 0.5269928,
+    6.1248595, 4.0925498, 1.4529100, 2.5352096, 0.7666775, 1.6866509,
+    1.6200953, 2.0839142, 0.9565145, 2.1865966, 0.7644026, 5.5552975,
+    0.5923686, 5.8436176, 2.5071164, 0.2978322, 2.1511962, 4.6242118,
+    4.9931353, 3.4237447, 4.3116692, 5.6148598, 0.3442670, 1.9079607,
+    0.2902301, 1.2282167, 4.5249352, 4.5349096, 5.5153742, 3.6595342,
+    0.4441228, 5.7977751, 5.0288862, 1.7966571, 3.4159368, 6.1875316,
+    4.4967379, 5.2714014, 2.7222564, 2.9570223, 3.5230663, 1.6907520,
+    4.7062218, 3.1660203, 4.0640250, 1.9336225, 0.8716326, 2.9881129,
+    2.2773988, 4.9518627, 4.9027432, 4.2003861, 0.8388295, 0.1354396,
+    3.5175829, 1.8901016, 5.9024853, 6.1631993, 1.8008890, 5.0317023,
+    5.6304337, 3.7543702, 5.5544410, 5.9296402, 3.4504620, 4.5765894,
+    3.6238793, 0.1624673, 2.8056369, 4.0608350, 3.2748147, 2.3393094,
+    5.8881908, 5.2121085, 5.3349614, 2.3407017, 3.7270886, 5.4824095,
+    5.8653636, 4.2000849, 1.2992148, 4.1082644, 0.4527132, 2.5555406,
+    4.1904544, 5.8667713, 5.0953493, 3.0445066, 4.7547955, 2.6203864,
+    6.1059115, 6.2076281, 5.4295991, 2.4434288, 2.8572272, 1.5499814,
+    4.9286757, 5.5470323, 5.7410198, 3.5078076, 3.7627993, 0.9354200,
+    5.6530665, 2.8299063, 1.2922774, 5.6526739, 4.7914663, 5.5448250,
+    1.7903950, 4.2300036, 4.1737937, 0.7716694, 2.5592571, 1.7296789,
+    4.5029688, 1.7805566, 5.6309835, 5.1935484, 2.4506089, 3.1284165,
+    4.3655898, 5.2424950, 3.8304163, 3.6111801, 2.0485834, 2.8678003,
+    4.4849099, 5.5568808, 4.5292698, 0.1169475, 4.2397456, 2.7552322,
+    2.7509053, 0.7353640, 5.1187960, 2.0411269, 1.5470969, 2.1533307,
+    2.3605433, 3.4340988, 3.5306485, 2.4870244, 2.5015301, 3.2381477,
+    4.1313862, 5.9747764, 4.5386496, 2.5137752, 5.2268018, 0.8440727,
+    0.3799239, 0.5293398, 0.0000000, 2.0371338, 1.8958053, 0.0733938,
+    3.3923238, 0.5992443, 0.9205800, 3.9655772, 5.3992694, 6.1212150,
+    3.5866836, 6.2633946, 3.4780043, 3.2387210, 2.0777367, 2.7017810,
+    3.0901098, 0.4463392, 5.5778300, 0.4061048, 2.7406309, 5.1938664,
+    2.4789345, 3.8545764, 5.1436714, 5.5683790, 5.8503469, 1.1987353,
+    1.6247202, 5.6414565, 3.7282025, 3.1657206, 3.8503962, 5.1485818,
+    3.3419582, 1.2696753, 2.8518968, 2.6886436, 6.0698884, 3.8959208,
+    4.3692639, 4.5249277, 2.1796068, 3.2483466, 3.4978155, 0.9832885,
+    3.5315023, 4.3655778, 2.6794992, 5.2544420, 4.5954405, 2.2621418,
+    2.8539005, 2.4277593, 4.8729535, 4.6135614, 2.7035154, 4.3589760,
+    5.9389515, 4.9274787, 4.4332387, 0.6869673, 2.4500066, 3.7127639,
+    2.8863700, 0.3162955, 1.4368865, 5.2413645, 0.0982985, 5.4268554,
+    0.4905223, 4.2037186, 3.1429204, 1.3696954, 3.5915675, 0.7677371,
+    4.2170618, 3.7673071, 0.3517086, 0.3540136, 0.9581898, 0.1232828,
+    2.7342886, 5.2290017, 3.8791769, 3.2680695, 5.4278441, 0.6138541,
+    5.7054603, 0.6786889, 3.2483864, 0.8994758, 3.5146290, 0.0287746,
+    4.8172051, 5.3325973, 5.7605579, 6.2013046, 3.1738449, 1.7053924,
+    0.6330341, 3.1909083, 3.6794907, 4.7933610, 0.5212697, 4.1569315,
+    3.2482749, 1.0747264, 5.8971330, 3.7101152, 2.7685894, 5.9182512,
+    4.1212281, 2.8396586, 5.2759745, 3.3465722, 3.4801751, 4.2729777,
+    2.3071222, 1.5035072, 3.6374836, 5.4468120, 2.5558538, 0.7075818,
+    2.7887656, 1.8861142, 2.5219880, 5.2361777, 2.5360737, 2.4515477,
+    2.2647672, 0.8812504, 1.6344462, 0.5454754, 2.6979830, 1.6165554,
+    1.8695956, 2.6694641, 0.7490013, 3.1105972, 4.4384875, 1.5304166,
+    4.9327408, 0.4655185, 2.4748426, 0.0213259, 1.3865538, 0.0081717,
+    1.1886509, 0.8952537, 1.6843712, 1.0988793, 0.8711572, 3.7629093,
+    5.6615138, 5.9022971, 1.3897429, 3.0327137, 2.3625475, 3.2910070,
+    1.6642436, 0.4295011, 2.7415239, 1.0923508, 0.1640358, 5.9984205,
+    2.7055177, 6.0416507, 4.7903915, 0.0461730, 4.2728088, 4.4356194,
+    4.0534637, 3.4702651, 1.3704176, 4.8529200, 1.4327442, 2.3302118,
+    5.5978709, 5.3807748, 2.5285646, 1.9981730, 3.8241692, 5.7189253,
+    5.7120324, 3.7170973, 2.0896078, 5.3599569, 2.7796679, 5.6822331,
+    0.2084724, 3.3453343, 4.5018856, 1.1265867, 2.1144987, 1.1794352,
+    2.0227281, 2.5375066, 3.4467437, 0.3062336, 3.4729184, 1.7266910,
+    1.5174002, 1.5277262, 0.9686124, 6.0093412, 5.8789338, 5.1441345,
+    4.5758041, 1.1046577, 2.2642776, 1.1862024, 0.0075297, 1.9881224,
+    4.3958232, 3.9285942, 3.4121603, 2.7585521, 1.8059588, 3.1520171,
+    4.7849358, 4.7903511, 3.6194660, 4.6977042, 4.0560129, 0.7742111,
+    3.1692252, 2.1819072, 0.5789810, 0.9289656, 1.2451370, 4.2239985,
+    2.7112647, 4.3630684, 1.6134250, 0.0613154, 3.3444332, 1.7554715,
+    5.9453394, 5.6953510, 2.4673100, 0.1561700, 4.2187618, 5.2600982,
+    6.1041123, 0.3577199, 2.8294680, 3.6597688, 4.3142726, 4.5203293,
+    4.0843265, 4.5673388, 2.3489542, 3.6541880, 0.7295941, 0.3622530,
+    6.1560465, 1.7896003, 3.7383338, 6.0454361, 1.1672793, 1.2129049,
+    2.1466132, 5.8615704, 2.4546365, 1.7166712, 0.9547117, 2.4951084,
+    2.3544507, 0.8238180, 2.7334414, 0.5749942, 3.8618151, 0.0689837,
+    3.6019012, 4.9620190, 1.4788531, 2.8149909, 3.5773830, 0.3857966,
+    3.1182750, 4.0357856, 1.3902536, 5.2593808, 6.1014456, 5.3179177,
+    3.1792883, 1.7522271, 4.6911344, 1.4886775, 6.0151778, 3.8972087,
+    3.7715583, 1.0845061, 0.5676653, 1.6038597, 5.3945577, 5.7244031,
+    4.3959286, 4.5564551, 1.4444168, 3.6194506, 5.0933266, 2.5374227,
+    6.2105471, 0.5654792, 2.0165320, 3.2132771, 0.3808010, 4.5596317,
+    3.4969429, 3.3260664, 5.2149334, 5.3957421, 4.9576149, 1.9970040,
+    2.8413032, 4.7263877, 0.6902815, 0.6895316, 1.6957291, 3.2963937,
+    6.1113470, 4.4636294, 1.9594738, 1.8312791, 5.3429527, 5.7280497,
+    4.0166905, 1.6045389, 0.5571039, 5.2669152, 3.6738954, 5.9571429,
+    0.3834561, 3.6734096, 1.7913869, 5.2007946, 1.2000032, 2.7804978,
+    2.4718774, 5.1935175, 4.2529065, 1.3044083, 1.9987109, 0.8407592,
+    4.2189258, 3.5876427, 1.0666779, 0.9277486, 2.9912971, 5.7057758,
+    3.4694180, 0.2069675, 0.3384307, 5.0583614, 2.8360719, 2.4042372,
+    4.9614777, 2.2888819, 3.3448533, 4.4714710, 5.4756485, 2.0652177,
+    4.0848120, 6.1250762, 0.4773170, 3.6883502, 2.6005256, 1.9423615,
+    1.6577182, 4.7674690, 6.2531264, 1.1722630, 4.9080805, 1.2302350,
+    6.2351753, 5.0407581, 2.6654950, 4.5795867, 3.1312479, 5.0830358,
+    2.2400117, 0.4602021, 3.7133088, 5.7188788, 1.2174673, 2.7166470,
+    4.7071094, 0.2462034, 5.9459353, 4.7983010, 3.5111731, 1.1551193,
+    3.1287047, 3.2537199, 6.2470131, 5.3711915, 6.0469623, 4.2659122,
+    2.5352740, 5.8746469, 3.0126903, 1.4563896, 2.4899651, 4.4301324,
+    3.5095299, 4.7540509, 6.2547920, 6.0471349, 3.3619258, 6.0561746,
+    0.7264988, 0.3232592, 1.9122808, 3.6454528, 3.3361480, 5.6624574,
+    3.3963785, 2.7142142, 3.4096772, 4.4762342, 0.1047703, 5.0323343,
+    0.8954125, 3.0063438, 1.6137441, 2.3190715, 4.1579916, 1.0656836,
+    1.7516517, 1.2454643, 1.2256706, 2.0535941, 5.5313259, 2.9600203,
+    2.5382144, 1.1261446, 6.0879353, 2.5601199, 5.3060708, 3.8662016,
+    2.3663172, 5.5114955, 4.9313732, 2.9213939, 5.1143679, 5.6450910,
+    2.6969853, 2.1006537, 3.7488443, 5.6673754, 4.4112136, 2.3716204,
+    4.6178643, 5.9948046, 3.4105954, 3.3935850, 1.9547595, 0.4475800,
+    1.1434170, 0.5842667, 2.9121888, 0.0586379, 5.7492774, 4.0384655,
+    0.0089162, 0.1909163, 1.3098570, 2.8586366, 0.7996361, 0.0543350,
+    4.5683759, 2.2249794, 4.9036865, 2.7435946, 2.7429546, 0.3092155,
+    0.3118464, 0.5723993, 3.7324447, 1.5147758, 5.2864780, 5.3860266,
+    6.0545540, 3.0718480, 1.3842492, 1.4213108, 3.3727372, 4.7884765,
+    2.1838288, 2.8980046, 4.0169897, 5.7637923, 1.0151904, 4.4964699,
+    3.6300404, 2.7224978, 5.5558613, 2.4696170, 1.1245340, 3.9793522,
+    3.9207111, 2.0605178, 5.0451799, 6.2799046, 6.1636676, 0.7981966,
+    1.4592079, 0.1484872, 3.8166117, 0.6962355, 2.5601436, 5.5548184,
+    3.4440198, 2.3185147, 1.3090764, 2.7705283, 6.0079576, 0.7792778,
+    2.9578927, 5.3840384, 0.2726304, 4.3456090, 6.1511471, 1.7798247,
+    0.8405677, 4.3057392, 5.7142715, 3.8382030, 5.6547587, 1.2153801,
+    4.7401894, 2.1756202, 2.6303011, 0.9784166, 5.1459324, 3.9265103,
+    4.6405120, 5.0586705, 0.4223724, 5.9739917, 3.1263686, 4.7447217,
+    4.6646686, 5.2221411, 0.9833301, 2.8733554, 3.8836400, 5.8570808,
+    -5.2470141, 5.6261119, 3.6600718, 3.6615062, 5.3716581, 0.2190677,
+    -5.5632585, 2.5618482, 0.2285950, 4.6881858, 0.9728179, 0.9042027,
+    -3.8073530, 1.5989503, 2.0367209, 2.5245268, 2.5533189, 2.4265105,
+    -3.8314979, 1.0486053, 1.1818174, 0.5945707, 2.0306392, 4.8355201,
+    -1.4710068, 4.6518534, 4.3531065, 5.1778361, 5.2023364, 1.8432851,
+    -1.9438243, 3.2862931, 2.0439139, 5.2266206, 5.0912323, 3.4997233,
+    -1.6522518, 4.2761236, 1.4680860, 2.8678051, 2.4163051, 3.3841326,
+    -6.2310582, 4.7451897, 6.1603795, 1.4751828, 3.3210347, 0.3231823,
+    -4.7555888, 3.7823504, 5.3857498, 6.2095284, 5.8401232, 2.5730582,
+    -0.0021455, 3.3984387, 1.3052100, 1.3777994, 2.0471011, 0.6028680,
+    -4.6968925, 4.7030205, 3.4136510, 2.1245480, 5.2297066, 3.4719134,
+    -6.0164208, 5.6098372, 2.2399783, 3.4331443, 2.1782657, 3.9131853,
+    -5.0053405, 4.6864702, 0.7887674, 5.1672539, 0.1580253, 2.6039335,
+    -4.5955687, 4.9095176, 2.3077255, 4.6801428, 5.6062801, 1.5243220,
+    -0.8142818, 1.4141432, 2.1992023, 1.8038058, 5.8275790, 0.3224138,
+    -3.7238350, 1.0235240, 5.2678588, 1.0528164, 3.1554195, 6.2789723,
+    -2.2330890, 0.2957980, 1.3424690, 2.4996969, 2.0964990, 1.4426353,
+    -5.8818165, 4.2926017, 6.0451393, 2.7518666, 5.9083095, 0.0366581,
+    -3.8346722, 5.0333074, 1.4638661, 5.8588735, 4.7957215, 5.1927356,
+    -3.6031780, 4.9799375, 2.0674268, 1.4040530, 1.9627813, 3.6726693,
+    -5.2145043, 1.8250297, 2.5293238, 5.4164658, 3.8625225, 6.2278165,
+    -1.2798778, 5.1975080, 4.2465638, 1.5641957, 2.9894493, 2.5074636,
+    -3.7663816, 5.0298329, 0.6601666, 5.1612735, 5.2847013, 2.2274284,
+    -2.7022061, 3.5954850, 4.4034117, 4.6650751, 4.7619266, 2.4449681,
+    -2.6973871, 6.0088907, 3.6000853, 5.3389611
+};
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/biquad_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/biquad_tests.c
new file mode 100644
index 0000000..3157d1c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/biquad_tests.c
@@ -0,0 +1,244 @@
+#include "jtest.h"
+#include "filtering_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "filtering_templates.h"
+#include "type_abbrev.h"
+
+#define BIQUAD_DEFINE_TEST(suffix, instance_name, config_suffix, output_type)    \
+   JTEST_DEFINE_TEST(arm_biquad_cascade_##config_suffix##_##suffix##_test,       \
+         arm_biquad_cascade_##config_suffix##_##suffix)                          \
+   {                                                                             \
+      instance_name biquad_inst_fut = { 0 };                                     \
+      instance_name biquad_inst_ref = { 0 };                                     \
+                                                                                 \
+      TEMPLATE_DO_ARR_DESC(                                                      \
+            blocksize_idx, uint32_t, blockSize, filtering_blocksizes             \
+            ,                                                                    \
+         TEMPLATE_DO_ARR_DESC(                                                   \
+               numstages_idx, uint16_t, numStages, filtering_numstages           \
+               ,                                                                 \
+               /* Initialize the BIQUAD Instances */                             \
+               arm_biquad_cascade_##config_suffix##_init_##suffix(               \
+                     &biquad_inst_fut, numStages,                                \
+                     (output_type*)filtering_coeffs_b_##suffix,                  \
+                     (void *) filtering_pState);                                 \
+                                                                                 \
+               /* Display test parameter values */                               \
+               JTEST_DUMP_STRF("Block Size: %d\n"                                \
+                               "Number of Stages: %d\n",                         \
+                               (int)blockSize,                                   \
+                               (int)numStages);                                  \
+                                                                                 \
+               JTEST_COUNT_CYCLES(                                               \
+                     arm_biquad_cascade_##config_suffix##_##suffix(              \
+                           &biquad_inst_fut,                                     \
+                           (void *) filtering_##suffix##_inputs,                 \
+                           (void *) filtering_output_fut,                        \
+                           blockSize));                                          \
+                                                                                 \
+               arm_biquad_cascade_##config_suffix##_init_##suffix(               \
+                     &biquad_inst_ref, numStages,                                \
+                     (output_type*)filtering_coeffs_b_##suffix,                  \
+                     (void *) filtering_pState);                                 \
+                                                                                 \
+               ref_biquad_cascade_##config_suffix##_##suffix(                    \
+                     &biquad_inst_ref,                                           \
+                     (void *) filtering_##suffix##_inputs,                       \
+                     (void *) filtering_output_ref,                              \
+                     blockSize);                                                 \
+                                                                                 \
+               FILTERING_SNR_COMPARE_INTERFACE(                                  \
+                     blockSize,                                                  \
+                     output_type)));                                             \
+                                                                                 \
+            return JTEST_TEST_PASSED;                                            \
+   }
+
+#define BIQUAD_WITH_POSTSHIFT_DEFINE_TEST(suffix, config_suffix, speed, output_type)   \
+   JTEST_DEFINE_TEST(arm_biquad_cascade_##config_suffix##speed##_##suffix##_test,      \
+         arm_biquad_cascade_##config_suffix##speed##_##suffix)                         \
+   {                                                                                   \
+      arm_biquad_casd_##config_suffix##_inst_##suffix biquad_inst_fut = { 0 };         \
+      arm_biquad_casd_##config_suffix##_inst_##suffix biquad_inst_ref = { 0 };         \
+                                                                                       \
+      TEMPLATE_DO_ARR_DESC(                                                            \
+            blocksize_idx, uint32_t, blockSize, filtering_blocksizes                   \
+            ,                                                                          \
+         TEMPLATE_DO_ARR_DESC(                                                         \
+               numstages_idx, uint16_t, numStages, filtering_numstages                 \
+               ,                                                                       \
+            TEMPLATE_DO_ARR_DESC(                                                      \
+                  postshifts_idx, uint8_t, postShift, filtering_postshifts             \
+                  ,                                                                    \
+                  /* Display test parameter values */                                  \
+                  JTEST_DUMP_STRF("Block Size: %d\n"                                   \
+                                  "Number of Stages: %d\n"                             \
+                                  "Post Shift: %d\n",                                  \
+                                  (int)blockSize,                                      \
+                                  (int)numStages,                                      \
+                                  (int)postShift);                                     \
+                                                                                       \
+                  /* Initialize the BIQUAD Instances */                                \
+                  arm_biquad_cascade_##config_suffix##_init_##suffix(                  \
+                        &biquad_inst_fut, numStages,                                   \
+                        (output_type*)filtering_coeffs_b_##suffix,                     \
+                        (void *) filtering_pState, postShift);                         \
+                                                                                       \
+                  JTEST_COUNT_CYCLES(                                                  \
+                        arm_biquad_cascade_##config_suffix##speed##_##suffix(          \
+                              &biquad_inst_fut,                                        \
+                              (void *) filtering_##suffix##_inputs,                    \
+                              (void *) filtering_output_fut,                           \
+                              blockSize));                                             \
+                                                                                       \
+                  arm_biquad_cascade_##config_suffix##_init_##suffix(                  \
+                        &biquad_inst_ref, numStages,                                   \
+                        (output_type*)filtering_coeffs_b_##suffix,                     \
+                        (void *) filtering_pState, postShift);                         \
+                                                                                       \
+                  ref_biquad_cascade_##config_suffix##speed##_##suffix(                \
+                        &biquad_inst_ref,                                              \
+                        (void *) filtering_##suffix##_inputs,                          \
+                        (void *) filtering_output_ref,                                 \
+                        blockSize);                                                    \
+                                                                                       \
+                  FILTERING_SNR_COMPARE_INTERFACE(                                     \
+                        blockSize,                                                     \
+                        output_type))));                                               \
+                                                                                       \
+            return JTEST_TEST_PASSED;                                                  \
+   }
+
+
+JTEST_DEFINE_TEST(arm_biquad_cas_df1_32x64_q31_test,
+      arm_biquad_cas_df1_32x64_q31)
+{
+   arm_biquad_cas_df1_32x64_ins_q31 biquad_inst_fut = { 0 };
+   arm_biquad_cas_df1_32x64_ins_q31 biquad_inst_ref = { 0 };
+
+   TEMPLATE_DO_ARR_DESC(
+         blocksize_idx, uint32_t, blockSize, filtering_blocksizes
+         ,
+      TEMPLATE_DO_ARR_DESC(
+            numstages_idx, uint16_t, numStages, filtering_numstages
+            ,
+         TEMPLATE_DO_ARR_DESC(
+               postshifts_idx, uint8_t, postShift, filtering_postshifts
+               ,
+               /* Initialize the BIQUAD Instances */
+               arm_biquad_cas_df1_32x64_init_q31(
+                     &biquad_inst_fut, numStages,
+                     (q31_t*)filtering_coeffs_b_q31,
+                     (void *) filtering_pState, postShift);
+
+              /* Display test parameter values */
+              JTEST_DUMP_STRF("Block Size: %d\n"
+                              "Number of Stages: %d\n",
+                              (int)blockSize,
+                              (int)numStages);
+
+               JTEST_COUNT_CYCLES(
+                     arm_biquad_cas_df1_32x64_q31(
+                           &biquad_inst_fut,
+                           (void *) filtering_q31_inputs,
+                           (void *) filtering_output_fut,
+                           blockSize));
+
+               arm_biquad_cas_df1_32x64_init_q31(
+                     &biquad_inst_ref, numStages,
+                     (q31_t*)filtering_coeffs_b_q31,
+                     (void *) filtering_pState, postShift);
+
+               ref_biquad_cas_df1_32x64_q31(
+                     &biquad_inst_ref,
+                     (void *) filtering_q31_inputs,
+                     (void *) filtering_output_ref,
+                     blockSize);
+
+               FILTERING_SNR_COMPARE_INTERFACE(
+                     blockSize,
+                     q31_t))));
+
+         return JTEST_TEST_PASSED;
+}
+
+JTEST_DEFINE_TEST(arm_biquad_cascade_df2T_f64_test,
+     arm_biquad_cascade_df2T_f64)
+{
+  arm_biquad_cascade_df2T_instance_f64 biquad_inst_fut = { 0 };
+  arm_biquad_cascade_df2T_instance_f64 biquad_inst_ref = { 0 };
+
+  TEMPLATE_DO_ARR_DESC(
+        blocksize_idx, uint32_t, blockSize, filtering_blocksizes
+        ,
+     TEMPLATE_DO_ARR_DESC(
+           numstages_idx, uint16_t, numStages, filtering_numstages
+           ,
+           /* Display test parameter values */
+           JTEST_DUMP_STRF("Block Size: %d\n"
+                           "Number of Stages: %d\n",
+                           (int)blockSize,
+                           (int)numStages);
+
+           /* Initialize the BIQUAD Instances */
+           arm_biquad_cascade_df2T_init_f64(
+                 &biquad_inst_fut, numStages,
+                 (float64_t*)filtering_coeffs_b_f64,
+                 (void *) filtering_pState);
+
+           JTEST_COUNT_CYCLES(
+                 arm_biquad_cascade_df2T_f64(
+                       &biquad_inst_fut,
+                       (void *) filtering_f64_inputs,
+                       (void *) filtering_output_fut,
+                       blockSize));
+
+           arm_biquad_cascade_df2T_init_f64(
+                 &biquad_inst_ref, numStages,
+                 (float64_t*)filtering_coeffs_b_f64,
+                 (void *) filtering_pState);
+
+           ref_biquad_cascade_df2T_f64(
+                 &biquad_inst_ref,
+                 (void *) filtering_f64_inputs,
+                 (void *) filtering_output_ref,
+                 blockSize);
+
+           FILTERING_DBL_SNR_COMPARE_INTERFACE(
+                 blockSize,
+                 float64_t)));
+
+        return JTEST_TEST_PASSED;
+}
+
+
+BIQUAD_DEFINE_TEST(f32,arm_biquad_casd_df1_inst_f32, df1,float32_t);
+BIQUAD_DEFINE_TEST(f32,arm_biquad_cascade_df2T_instance_f32,df2T,float32_t);
+BIQUAD_DEFINE_TEST(f32,arm_biquad_cascade_stereo_df2T_instance_f32,stereo_df2T,float32_t);
+BIQUAD_WITH_POSTSHIFT_DEFINE_TEST(q31,df1,,q31_t);
+BIQUAD_WITH_POSTSHIFT_DEFINE_TEST(q15,df1,,q15_t);
+BIQUAD_WITH_POSTSHIFT_DEFINE_TEST(q31,df1,_fast,q31_t);
+BIQUAD_WITH_POSTSHIFT_DEFINE_TEST(q15,df1,_fast,q15_t);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(biquad_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+   JTEST_TEST_CALL(arm_biquad_cascade_df1_f32_test);
+   JTEST_TEST_CALL(arm_biquad_cascade_df2T_f32_test);
+   JTEST_TEST_CALL(arm_biquad_cascade_stereo_df2T_f32_test);
+   JTEST_TEST_CALL(arm_biquad_cascade_df2T_f64_test);
+   JTEST_TEST_CALL(arm_biquad_cascade_df1_q31_test);
+   JTEST_TEST_CALL(arm_biquad_cascade_df1_q15_test);
+   JTEST_TEST_CALL(arm_biquad_cascade_df1_fast_q31_test);
+   JTEST_TEST_CALL(arm_biquad_cascade_df1_fast_q15_test);
+   JTEST_TEST_CALL(arm_biquad_cas_df1_32x64_q31_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/conv_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/conv_tests.c
new file mode 100644
index 0000000..dcff668
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/conv_tests.c
@@ -0,0 +1,473 @@
+#include "jtest.h"
+#include "filtering_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "filtering_templates.h"
+#include "type_abbrev.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Header Stuff */
+/*--------------------------------------------------------------------------------*/
+
+#define CONV_MAX_INPUT_ELTS  32
+#define CONV_MAX_OUTPUT_ELTS (CONV_MAX_INPUT_ELTS * 2)
+
+#define CONV_TEST_VALID_PARTIAL_PARAMS(input_a_len, input_b_len,           \
+                                       first_index, num_points)            \
+    (((((input_a_len) + (input_b_len) - 1)) >= num_points + first_index )  \
+    && (num_points > 0))
+
+/*--------------------------------------------------------------------------------*/
+/* Input Interfaces */
+/*--------------------------------------------------------------------------------*/
+/*
+ *  General:
+ *  Input interfaces provide inputs to functions inside test templates.  They
+ *  ONLY provide the inputs.  The output variables should be hard coded.
+ *
+ *  The input interfaces must have the following format:
+ *
+ *  ARM_xxx_INPUT_INTERFACE() or
+ *  REF_xxx_INPUT_INTERFACE()
+ *
+ *  The xxx must be lowercase, and is intended to be the indentifying substring
+ *  in the function's name.  Acceptable values are 'sub' or 'add' from the
+ *  functions arm_add_q31.
+ */
+
+#define CONV_arm_conv_INPUT_INTERFACE(input_a, input_a_len, input_b, input_b_len) \
+    PAREN(input_a, input_a_len, input_b, input_b_len, (void*)filtering_output_fut)
+
+#define CONV_ref_conv_INPUT_INTERFACE(input_a, input_a_len, input_b, input_b_len) \
+    PAREN(input_a, input_a_len, input_b, input_b_len, (void*)filtering_output_ref)
+
+#define CONV_arm_conv_opt_INPUT_INTERFACE(              \
+    input_a, input_a_len,                               \
+    input_b, input_b_len)                               \
+    PAREN(input_a, input_a_len, input_b, input_b_len,   \
+          (void*) filtering_output_fut,                 \
+          (void*) filtering_scratch,                    \
+          (void*) filtering_scratch2)
+
+#define CONV_ref_conv_opt_INPUT_INTERFACE(              \
+    input_a, input_a_len,                               \
+    input_b, input_b_len)                               \
+    PAREN(input_a, input_a_len, input_b, input_b_len,   \
+          (void*) filtering_output_ref,                 \
+          (void*) filtering_scratch,                    \
+          (void*) filtering_scratch2)
+
+#define CONV_arm_conv_fast_INPUT_INTERFACE(input_a, input_a_len,        \
+                                           input_b, input_b_len)        \
+    PAREN(input_a, input_a_len, input_b, input_b_len, (void*)filtering_output_fut)
+
+#define CONV_ref_conv_fast_INPUT_INTERFACE(input_a, input_a_len,        \
+                                           input_b, input_b_len)        \
+    PAREN(input_a, input_a_len, input_b, input_b_len, (void*)filtering_output_ref)
+
+#define CONV_arm_conv_fast_opt_INPUT_INTERFACE(         \
+    input_a, input_a_len,                               \
+    input_b, input_b_len)                               \
+    PAREN(input_a, input_a_len, input_b, input_b_len,   \
+          (void*) filtering_output_fut,                 \
+          (void*) filtering_scratch,                    \
+          (void*) filtering_scratch2)
+
+#define CONV_ref_conv_fast_opt_INPUT_INTERFACE(         \
+    input_a, input_a_len,                               \
+    input_b, input_b_len)                               \
+    PAREN(input_a, input_a_len, input_b, input_b_len,   \
+          (void*) filtering_output_ref,                 \
+          (void*) filtering_scratch,                    \
+          (void*) filtering_scratch2)
+
+#define CONV_arm_conv_partial_INPUT_INTERFACE(input_a, input_a_len,     \
+                                              input_b, input_b_len,     \
+                                              first_index, num_points)  \
+    PAREN(input_a, input_a_len, input_b, input_b_len,                   \
+          (void*)filtering_output_fut, first_index, num_points)
+
+#define CONV_ref_conv_partial_INPUT_INTERFACE(input_a, input_a_len,     \
+                                              input_b, input_b_len,     \
+                                              first_index, num_points)  \
+    PAREN(input_a, input_a_len, input_b, input_b_len,                   \
+          (void*)filtering_output_ref, first_index, num_points)
+
+#define CONV_arm_conv_partial_fast_INPUT_INTERFACE(input_a, input_a_len,   \
+                                              input_b, input_b_len,        \
+                                              first_index, num_points)     \
+    PAREN(input_a, input_a_len, input_b, input_b_len,                      \
+          (void*)filtering_output_fut, first_index, num_points)
+
+#define CONV_ref_conv_partial_fast_INPUT_INTERFACE(input_a, input_a_len,   \
+                                              input_b, input_b_len,        \
+                                              first_index, num_points)     \
+    PAREN(input_a, input_a_len, input_b, input_b_len,                      \
+          (void*)filtering_output_ref, first_index, num_points)
+
+#define CONV_arm_conv_partial_opt_INPUT_INTERFACE(input_a, input_a_len, \
+                                              input_b, input_b_len,     \
+                                              first_index, num_points)  \
+    PAREN(input_a, input_a_len, input_b, input_b_len,                   \
+          (void*)filtering_output_fut, first_index, num_points,         \
+          (void*) filtering_scratch,                                    \
+          (void*) filtering_scratch2)
+
+#define CONV_ref_conv_partial_opt_INPUT_INTERFACE(input_a, input_a_len, \
+                                              input_b, input_b_len,     \
+                                              first_index, num_points)  \
+    PAREN(input_a, input_a_len, input_b, input_b_len,                   \
+          (void*)filtering_output_ref, first_index, num_points,         \
+          (void*) filtering_scratch,                                    \
+          (void*) filtering_scratch2)
+
+#define CONV_arm_conv_partial_fast_opt_INPUT_INTERFACE(input_a, input_a_len,  \
+                                              input_b, input_b_len,           \
+                                              first_index, num_points)        \
+    PAREN(input_a, input_a_len, input_b, input_b_len,                         \
+          (void*)filtering_output_fut, first_index, num_points,               \
+          (void*) filtering_scratch,                                          \
+          (void*) filtering_scratch2)
+
+#define CONV_ref_conv_partial_fast_opt_INPUT_INTERFACE(input_a, input_a_len,  \
+                                              input_b, input_b_len,           \
+                                              first_index, num_points)        \
+    PAREN(input_a, input_a_len, input_b, input_b_len,                         \
+          (void*)filtering_output_ref, first_index, num_points,               \
+          (void*) filtering_scratch,                                          \
+          (void*) filtering_scratch2)
+
+/*--------------------------------------------------------------------------------*/
+/* Convolution Inputs */
+/*--------------------------------------------------------------------------------*/
+
+/* The following symbols alias the filtering_q31_inputs array:
+ *
+ * - filtering_q15_inputs
+ * - filtering_q7_inputs
+ *
+ * The aliasing conflicts with the instantiation of #ARR_DESC_t structs.
+ *
+ * These macro-level aliases allow the #CONV_DEFINE_RAND_INPUT_ARR_DESCS() macro
+ * to correctly select the filtering_q31_input or filtering_f32_input array,
+ * within a template, by type_suffix.
+ *
+ */
+#define CONV_f32_INPUTS filtering_f32_inputs
+#define CONV_q31_INPUTS filtering_q31_inputs
+#define CONV_q15_INPUTS filtering_q31_inputs
+#define CONV_q7_INPUTS  filtering_q31_inputs
+
+/**
+ *  Defines #ARR_DESC_t objects that wrap existing, type-specific, common
+ *  inputs.
+ */
+#define CONV_DEFINE_RAND_INPUT_ARR_DESCS(type_suffix)           \
+    ARR_DESC_DEFINE_USING_ARR(                                  \
+        TYPE_FROM_ABBREV(type_suffix),                          \
+        conv_input_rand1_##type_suffix,                         \
+        CONV_##type_suffix##_INPUTS,                            \
+        0,                                                      \
+        CONV_MAX_INPUT_ELTS);                                   \
+                                                                \
+    ARR_DESC_DEFINE_USING_ARR(                                  \
+        TYPE_FROM_ABBREV(type_suffix),                          \
+        conv_input_rand2_##type_suffix,                         \
+        CONV_##type_suffix##_INPUTS,                            \
+        1,                                                      \
+        CONV_MAX_INPUT_ELTS)  /* Note the lacking semicolon */
+
+CONV_DEFINE_RAND_INPUT_ARR_DESCS(f32);
+CONV_DEFINE_RAND_INPUT_ARR_DESCS(q31);
+CONV_DEFINE_RAND_INPUT_ARR_DESCS(q15);
+CONV_DEFINE_RAND_INPUT_ARR_DESCS(q7);
+ARR_DESC_DEFINE(float32_t, conv_input_zeros, CONV_MAX_INPUT_ELTS, CURLY(0));
+
+/**
+ *  Define Input #ARR_DESC_t arrays by type suffix.
+ *
+ *  Taking inputs in parallel from the 'a' and 'b' arrays yields the following
+ *  test cases (star is convolution):
+ *
+ *  - zero_array   * zero_array
+ *  - zero_array   * random_array
+ *  - random_array * zero_array
+ *  - random_array * different_random_arary
+ */
+#define CONV_DEFINE_ALL_INPUTS(type_suffix)                 \
+    ARR_DESC_DEFINE(ARR_DESC_t *,                           \
+                    conv_##type_suffix##_a_inputs,          \
+                    4,                                      \
+                    CURLY(                                  \
+                        &conv_input_zeros,                  \
+                        &conv_input_zeros,                  \
+                        &conv_input_rand1_##type_suffix,    \
+                        &conv_input_rand1_##type_suffix     \
+                        ));                                 \
+    ARR_DESC_DEFINE(ARR_DESC_t *,                           \
+                    conv_##type_suffix##_b_inputs,          \
+                    4,                                      \
+                    CURLY(                                  \
+                        &conv_input_zeros,                  \
+                        &conv_input_rand1_##type_suffix,    \
+                        &conv_input_zeros,                  \
+                        &conv_input_rand2_##type_suffix     \
+                        )) /* Note the lacking semicolon */
+
+CONV_DEFINE_ALL_INPUTS(f32);
+CONV_DEFINE_ALL_INPUTS(q31);
+CONV_DEFINE_ALL_INPUTS(q15);
+CONV_DEFINE_ALL_INPUTS(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Convolution Lengths */
+/*--------------------------------------------------------------------------------*/
+
+/*
+ *  The conv_lens_a and conv_lens_b #ARR_DESC_t objects are accessed in parallel
+ *  to provide convolution-length pairs. Taken in parallel they provide the
+ *  following cases:
+ *
+ *  - 1 * 1    : Shortest convolution possible.
+ *  - 1 * 2    : Short convolution   , one side is degenerate .
+ *  - 17 * 1   : Medium convolution  , one side is degenerate .
+ *  - 15 * MAX : Longest convolution , one side is degenerate .
+ *  MAX * MAX  : Longest convolution.
+ */
+ARR_DESC_DEFINE(uint32_t,
+                conv_lens_a,
+                5,
+                CURLY(
+                    1,
+                    1,
+                    17,
+                    15,
+                    CONV_MAX_INPUT_ELTS
+                    ));
+
+ARR_DESC_DEFINE(uint32_t,
+                conv_lens_b,
+                5,
+                CURLY(
+                    1,
+                    2,
+                    1,
+                    CONV_MAX_INPUT_ELTS,
+                    CONV_MAX_INPUT_ELTS
+                    ));
+
+/*--------------------------------------------------------------------------------*/
+/* Partial Indexing */
+/*--------------------------------------------------------------------------------*/
+
+ARR_DESC_DEFINE(uint32_t,
+                first_index_arr_desc,
+                4,
+                CURLY(
+                    0,
+                    1,
+                    CONV_MAX_INPUT_ELTS / 2,
+                    CONV_MAX_INPUT_ELTS
+                    ));
+
+ARR_DESC_DEFINE(uint32_t,
+                num_points_arr_desc,
+                3,
+                CURLY(
+                    1,
+                    CONV_MAX_OUTPUT_ELTS / 2,
+                    CONV_MAX_OUTPUT_ELTS
+                    ));
+
+/*--------------------------------------------------------------------------------*/
+/* Convolution Tests */
+/*--------------------------------------------------------------------------------*/
+
+#define CONV_TEST_TEMPLATE(fut, fut_arg_interface,                            \
+                           ref, ref_arg_interface,                            \
+                           suffix, output_type)                               \
+    JTEST_DEFINE_TEST(fut##_tests, fut)                                       \
+    {                                                                         \
+        TEMPLATE_DO_ARR_DESC(                                                 \
+            input_idx, ARR_DESC_t *, input_ptr, conv_##suffix##_a_inputs      \
+            ,                                                                 \
+            void * input_a_ptr = input_ptr->data_ptr;                         \
+            void * input_b_ptr = ARR_DESC_ELT(                                \
+                ARR_DESC_t *, input_idx,                                      \
+                &(conv_##suffix##_b_inputs))->data_ptr;                       \
+                                                                              \
+            TEMPLATE_DO_ARR_DESC(                                             \
+                conv_len_idx, uint32_t, conv_len_a, conv_lens_a               \
+                ,                                                             \
+                uint32_t conv_len_b = ARR_DESC_ELT(                           \
+                    uint32_t, conv_len_idx, &(conv_lens_b));                  \
+                                                                              \
+                JTEST_DUMP_STRF("Input A Length: %d\n"                        \
+                                "Input B Length: %d\n",                       \
+                                (int)conv_len_a,                              \
+                                (int)conv_len_b);                             \
+                                                                              \
+                TEST_CALL_FUT_AND_REF(                                        \
+                    fut, fut_arg_interface(                                   \
+                        input_a_ptr, conv_len_a, input_b_ptr, conv_len_b),    \
+                    ref, ref_arg_interface(                                   \
+                        input_a_ptr, conv_len_a, input_b_ptr, conv_len_b));   \
+                                                                              \
+                FILTERING_SNR_COMPARE_INTERFACE(                              \
+                    conv_len_a + conv_len_b - 1,                              \
+                    output_type)));                                           \
+                                                                              \
+        return JTEST_TEST_PASSED;                                             \
+    }                                                                         \
+                                                                              \
+
+#define CONV_PARTIAL_TEST_TEMPLATE(fut, fut_arg_interface,                    \
+                                   ref, ref_arg_interface,                    \
+                                   suffix, output_type)                       \
+    JTEST_DEFINE_TEST(fut##_tests, fut)                                       \
+    {                                                                         \
+        TEMPLATE_DO_ARR_DESC(                                                 \
+            input_idx, ARR_DESC_t *, input_ptr, conv_##suffix##_a_inputs      \
+            ,                                                                 \
+            void * input_a_ptr = input_ptr->data_ptr;                         \
+            void * input_b_ptr = ARR_DESC_ELT(                                \
+                ARR_DESC_t *, input_idx,                                      \
+                &(conv_##suffix##_b_inputs))->data_ptr;                       \
+            TEMPLATE_DO_ARR_DESC(                                             \
+                conv_len_idx, uint32_t, conv_len_a, conv_lens_a               \
+                ,                                                             \
+                uint32_t conv_len_b = ARR_DESC_ELT(                           \
+                    uint32_t, conv_len_idx, &(conv_lens_b));                  \
+                                                                              \
+                TEMPLATE_DO_ARR_DESC(                                         \
+                    first_index_idx, uint32_t, first_index,                   \
+                    first_index_arr_desc                                      \
+                    ,                                                         \
+                    TEMPLATE_DO_ARR_DESC(                                     \
+                        num_points_idx, uint32_t, num_points,                 \
+                        num_points_arr_desc                                   \
+                        ,                                                     \
+                        if (CONV_TEST_VALID_PARTIAL_PARAMS(                   \
+                                conv_len_a, conv_len_b,                       \
+                                first_index, num_points))                     \
+                        {                                                     \
+                            /* Display test parameter values */               \
+                            JTEST_DUMP_STRF("Input A Length: %d\n"            \
+                                            "Input B Length: %d\n"            \
+                                            "First Sample Index: %d\n"        \
+                                            "Number of Output Points: %d\n",  \
+                                            (int)conv_len_a,                  \
+                                            (int)conv_len_b,                  \
+                                            (int)first_index,                 \
+                                            (int)num_points);                 \
+                                                                              \
+                           memset(filtering_output_ref,0,                     \
+                                 (2*CONV_MAX_INPUT_ELTS)*sizeof(output_type)); \
+                           memset(filtering_output_fut,0,                     \
+                                 (2*CONV_MAX_INPUT_ELTS)*sizeof(output_type)); \
+                                                                              \
+                            TEST_CALL_FUT_AND_REF(                            \
+                                fut, fut_arg_interface(                       \
+                                    input_a_ptr, conv_len_a,                  \
+                                    input_b_ptr, conv_len_b,                  \
+                                    first_index, num_points),                 \
+                                ref, ref_arg_interface(                       \
+                                    input_a_ptr, conv_len_a,                  \
+                                    input_b_ptr, conv_len_b,                  \
+                                    first_index, num_points));                \
+                                                                              \
+                            FILTERING_SNR_COMPARE_INTERFACE_OFFSET(           \
+                                first_index,                                  \
+                                num_points,                                   \
+                                output_type);                                 \
+                        } else {                                              \
+                            /* FUT should return ARM_MATH_ARGUMENT_ERROR*/    \
+                            /* if first_index and num_points don't make */    \
+                            /* sense*/                                        \
+                                                                              \
+                            arm_status conv_test_retval;                      \
+                            TEST_CALL_FUT(                                    \
+                                conv_test_retval = fut,                       \
+                                fut_arg_interface(                            \
+                                    input_a_ptr, conv_len_a,                  \
+                                    input_b_ptr, conv_len_b,                  \
+                                    first_index, num_points));                \
+                                                                              \
+                            if (conv_test_retval != ARM_MATH_ARGUMENT_ERROR) { \
+                                JTEST_DUMP_STR("FUT failed to raise error."); \
+                                /* return JTEST_TEST_FAILED; */               \
+                            }                                                 \
+                        }))));                                                \
+                                                                              \
+        return JTEST_TEST_PASSED;                                             \
+    }
+
+#define CONV_DEFINE_TEST(fn_name, suffix, output_type, test_template)   \
+    test_template(                                                      \
+        arm_##fn_name##_##suffix,                                       \
+        CONV_arm_##fn_name##_INPUT_INTERFACE,                           \
+        ref_##fn_name##_##suffix,                                       \
+        CONV_ref_##fn_name##_INPUT_INTERFACE,                           \
+        suffix,                                                         \
+        output_type                                                     \
+        ) /* Note the lacking semicolon*/
+
+/* Tests on functions without partial outputs */
+CONV_DEFINE_TEST(conv          , f32, float32_t, CONV_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv          , q31, q31_t    , CONV_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv          , q15, q15_t    , CONV_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv          , q7 , q7_t     , CONV_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_opt      , q15, q15_t    , CONV_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_opt      , q7 , q7_t     , CONV_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_fast     , q31, q31_t    , CONV_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_fast     , q15, q15_t    , CONV_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_fast_opt , q15, q15_t    , CONV_TEST_TEMPLATE);
+
+/* Tests on functions with partial outputs  */
+CONV_DEFINE_TEST(conv_partial          , f32, float32_t, CONV_PARTIAL_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_partial          , q31, q31_t    , CONV_PARTIAL_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_partial          , q15, q15_t    , CONV_PARTIAL_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_partial          , q7 , q7_t     , CONV_PARTIAL_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_partial_fast     , q31, q31_t    , CONV_PARTIAL_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_partial_fast     , q15, q15_t    , CONV_PARTIAL_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_partial_fast_opt , q15, q15_t    , CONV_PARTIAL_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_partial_opt      , q15, q15_t    , CONV_PARTIAL_TEST_TEMPLATE);
+CONV_DEFINE_TEST(conv_partial_opt      , q7 , q7_t     , CONV_PARTIAL_TEST_TEMPLATE);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(conv_tests)
+{
+  /*
+    To skip a test, comment it out.
+  */
+  JTEST_TEST_CALL(arm_conv_f32_tests);
+  JTEST_TEST_CALL(arm_conv_q31_tests);
+  JTEST_TEST_CALL(arm_conv_q15_tests);
+  JTEST_TEST_CALL(arm_conv_q7_tests);
+
+  JTEST_TEST_CALL(arm_conv_opt_q15_tests);
+  JTEST_TEST_CALL(arm_conv_opt_q7_tests);
+
+  JTEST_TEST_CALL(arm_conv_fast_q31_tests);
+  JTEST_TEST_CALL(arm_conv_fast_q15_tests);
+
+  JTEST_TEST_CALL(arm_conv_fast_opt_q15_tests);
+
+  JTEST_TEST_CALL(arm_conv_partial_f32_tests);
+  JTEST_TEST_CALL(arm_conv_partial_q31_tests);
+  JTEST_TEST_CALL(arm_conv_partial_q15_tests);
+  JTEST_TEST_CALL(arm_conv_partial_q7_tests);
+
+  JTEST_TEST_CALL(arm_conv_partial_fast_q31_tests);
+  JTEST_TEST_CALL(arm_conv_partial_fast_q15_tests);
+
+  JTEST_TEST_CALL(arm_conv_partial_fast_opt_q15_tests);
+
+  JTEST_TEST_CALL(arm_conv_partial_opt_q15_tests);
+  JTEST_TEST_CALL(arm_conv_partial_opt_q7_tests);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/correlate_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/correlate_tests.c
new file mode 100644
index 0000000..689b075
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/correlate_tests.c
@@ -0,0 +1,310 @@
+#include "jtest.h"
+#include "filtering_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "filtering_templates.h"
+#include "type_abbrev.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Header Stuff */
+/*--------------------------------------------------------------------------------*/
+
+#define CORRELATE_MAX_INPUT_ELTS  32
+#define CORRELATE_MAX_OUTPUT_ELTS (CORRELATE_MAX_INPUT_ELTS * 2)
+
+/*--------------------------------------------------------------------------------*/
+/* Input Interfaces */
+/*--------------------------------------------------------------------------------*/
+/*
+ *  General:
+ *  Input interfaces provide inputs to functions inside test templates.  They
+ *  ONLY provide the inputs.  The output variables should be hard coded.
+ *
+ *  The input interfaces must have the following format:
+ *
+ *  ARM_xxx_INPUT_INTERFACE() or
+ *  REF_xxx_INPUT_INTERFACE()
+ *
+ *  The xxx must be lowercase, and is intended to be the indentifying substring
+ *  in the function's name.  Acceptable values are 'sub' or 'add' from the
+ *  functions arm_add_q31.
+ */
+
+#define CORRELATE_arm_correlate_INPUT_INTERFACE(input_a, input_a_len, input_b, input_b_len) \
+    PAREN(input_a, input_a_len, input_b, input_b_len, (void*)filtering_output_fut)
+
+#define CORRELATE_ref_correlate_INPUT_INTERFACE(input_a, input_a_len, input_b, input_b_len) \
+    PAREN(input_a, input_a_len, input_b, input_b_len, (void*)filtering_output_ref)
+
+#define CORRELATE_arm_correlate_opt_INPUT_INTERFACE(    \
+    input_a, input_a_len,                               \
+    input_b, input_b_len)                               \
+    PAREN(input_a, input_a_len, input_b, input_b_len,   \
+          (void*) filtering_output_fut,                 \
+          (void*) filtering_scratch)
+
+#define CORRELATE_arm_correlate_opt_q7_INPUT_INTERFACE(  \
+    input_a, input_a_len,                                \
+    input_b, input_b_len)                                \
+    PAREN(input_a, input_a_len, input_b, input_b_len,    \
+          (void*) filtering_output_fut,                  \
+          (void*) filtering_scratch,                     \
+          (void*) filtering_scratch2)
+
+#define CORRELATE_ref_correlate_opt_INPUT_INTERFACE(    \
+    input_a, input_a_len,                               \
+    input_b, input_b_len)                               \
+    PAREN(input_a, input_a_len, input_b, input_b_len,   \
+          (void*) filtering_output_ref,                 \
+          (void*) filtering_scratch)
+
+#define CORRELATE_ref_correlate_opt_q7_INPUT_INTERFACE( \
+    input_a, input_a_len,                               \
+    input_b, input_b_len)                               \
+    PAREN(input_a, input_a_len, input_b, input_b_len,   \
+          (void*) filtering_output_ref,                 \
+          (void*) filtering_scratch,                    \
+          (void*) filtering_scratch2)
+
+#define CORRELATE_arm_correlate_fast_INPUT_INTERFACE(input_a, input_a_len,          \
+                                           input_b, input_b_len)                    \
+    PAREN(input_a, input_a_len, input_b, input_b_len, (void*)filtering_output_fut)
+
+#define CORRELATE_ref_correlate_fast_INPUT_INTERFACE(input_a, input_a_len,          \
+                                           input_b, input_b_len)                    \
+    PAREN(input_a, input_a_len, input_b, input_b_len, (void*)filtering_output_ref)
+
+#define CORRELATE_arm_correlate_fast_opt_INPUT_INTERFACE(   \
+    input_a, input_a_len,                                   \
+    input_b, input_b_len)                                   \
+    PAREN(input_a, input_a_len, input_b, input_b_len,       \
+          (void*) filtering_output_fut,                     \
+          (void*) filtering_scratch)
+
+#define CORRELATE_ref_correlate_fast_opt_INPUT_INTERFACE(   \
+    input_a, input_a_len,                                   \
+    input_b, input_b_len)                                   \
+    PAREN(input_a, input_a_len, input_b, input_b_len,       \
+          (void*) filtering_output_ref,                     \
+          (void*) filtering_scratch)
+
+/*--------------------------------------------------------------------------------*/
+/* Convolution Inputs */
+/*--------------------------------------------------------------------------------*/
+
+/* The following symbols alias the filtering_q31_inputs array:
+ *
+ * - filtering_q15_inputs
+ * - filtering_q7_inputs
+ *
+ * The aliasing conflicts with the instantiation of #ARR_DESC_t structs.
+ *
+ * These macro-level aliases allow the #CORRELATE_DEFINE_RAND_INPUT_ARR_DESCS() macro
+ * to correctly select the filtering_q31_input or filtering_f32_input array,
+ * within a template, by type_suffix.
+ *
+ */
+#define CORRELATE_f32_INPUTS filtering_f32_inputs
+#define CORRELATE_q31_INPUTS filtering_q31_inputs
+#define CORRELATE_q15_INPUTS filtering_q31_inputs
+#define CORRELATE_q7_INPUTS  filtering_q31_inputs
+
+/**
+ *  Defines #ARR_DESC_t objects that wrap existing, type-specific, common
+ *  inputs.
+ */
+#define CORRELATE_DEFINE_RAND_INPUT_ARR_DESCS(type_suffix)      \
+    ARR_DESC_DEFINE_USING_ARR(                                  \
+        TYPE_FROM_ABBREV(type_suffix),                          \
+        correlate_input_rand1_##type_suffix,                    \
+        CORRELATE_##type_suffix##_INPUTS,                       \
+        0,                                                      \
+        CORRELATE_MAX_INPUT_ELTS);                              \
+                                                                \
+    ARR_DESC_DEFINE_USING_ARR(                                  \
+        TYPE_FROM_ABBREV(type_suffix),                          \
+        correlate_input_rand2_##type_suffix,                    \
+        CORRELATE_##type_suffix##_INPUTS,                       \
+        1,                                                      \
+        CORRELATE_MAX_INPUT_ELTS)  /* Note the lacking semicolon */
+
+CORRELATE_DEFINE_RAND_INPUT_ARR_DESCS(f32);
+CORRELATE_DEFINE_RAND_INPUT_ARR_DESCS(q31);
+CORRELATE_DEFINE_RAND_INPUT_ARR_DESCS(q15);
+CORRELATE_DEFINE_RAND_INPUT_ARR_DESCS(q7);
+ARR_DESC_DEFINE(float32_t, correlate_input_zeros, CORRELATE_MAX_INPUT_ELTS, CURLY(0));
+
+/**
+ *  Define Input #ARR_DESC_t arrays by type suffix.
+ *
+ *  Taking inputs in parallel from the 'a' and 'b' arrays yields the following
+ *  test cases (star is correlate):
+ *
+ *  - zero_array   * zero_array
+ *  - zero_array   * random_array
+ *  - random_array * zero_array
+ *  - random_array * different_random_arary
+ */
+#define CORRELATE_DEFINE_ALL_INPUTS(type_suffix)                  \
+    ARR_DESC_DEFINE(ARR_DESC_t *,                                 \
+                    correlate_##type_suffix##_a_inputs,           \
+                    4,                                            \
+                    CURLY(                                        \
+                        &correlate_input_zeros,                   \
+                        &correlate_input_zeros,                   \
+                        &correlate_input_rand1_##type_suffix,     \
+                        &correlate_input_rand1_##type_suffix      \
+                        ));                                       \
+    ARR_DESC_DEFINE(ARR_DESC_t *,                                 \
+                    correlate_##type_suffix##_b_inputs,           \
+                    4,                                            \
+                    CURLY(                                        \
+                        &correlate_input_zeros,                   \
+                        &correlate_input_rand1_##type_suffix,     \
+                        &correlate_input_zeros,                   \
+                        &correlate_input_rand2_##type_suffix      \
+                        )) /* Note the lacking semicolon */
+
+CORRELATE_DEFINE_ALL_INPUTS(f32);
+CORRELATE_DEFINE_ALL_INPUTS(q31);
+CORRELATE_DEFINE_ALL_INPUTS(q15);
+CORRELATE_DEFINE_ALL_INPUTS(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Convolution Lengths */
+/*--------------------------------------------------------------------------------*/
+
+/*
+ *  The correlate_lens_a and correlate_lens_b #ARR_DESC_t objects are accessed in parallel
+ *  to provide correlate-length pairs. Taken in parallel they provide the
+ *  following cases:
+ *
+ *  - 1 * 1    : Shortest correlate possible.
+ *  - 1 * 2    : Short correlate , one side is degenerate.
+ *  - 17 * 1   : Medium correlate, one side is degenerate.
+ *  - 15 * MAX : Longest correlate.
+ *  MAX * MAX  : Longest correlate.
+ */
+ARR_DESC_DEFINE(uint32_t,
+                correlate_lens_a,
+                5,
+                CURLY(
+                    1,
+                    1,
+                    17,
+                    15,
+                    CORRELATE_MAX_INPUT_ELTS
+                    ));
+
+ARR_DESC_DEFINE(uint32_t,
+                correlate_lens_b,
+                5,
+                CURLY(
+                    1,
+                    2,
+                    1,
+                    CORRELATE_MAX_INPUT_ELTS,
+                    CORRELATE_MAX_INPUT_ELTS
+                    ));
+
+/*--------------------------------------------------------------------------------*/
+/* Convolution Tests */
+/*--------------------------------------------------------------------------------*/
+
+#define CORRELATE_TEST_TEMPLATE(fut, fut_arg_interface,                                \
+                           ref, ref_arg_interface,                                     \
+                           suffix, output_type)                                        \
+    JTEST_DEFINE_TEST(fut##_tests, fut)                                                \
+    {                                                                                  \
+        TEMPLATE_DO_ARR_DESC(                                                          \
+            input_idx, ARR_DESC_t *, input_ptr, correlate_##suffix##_a_inputs          \
+            ,                                                                          \
+            void * input_a_ptr = input_ptr->data_ptr;                                  \
+            void * input_b_ptr = ARR_DESC_ELT(                                         \
+                ARR_DESC_t *, input_idx,                                               \
+                &(correlate_##suffix##_b_inputs))->data_ptr;                           \
+                                                                                       \
+            TEMPLATE_DO_ARR_DESC(                                                      \
+                correlate_len_idx, uint32_t, correlate_len_a, correlate_lens_a         \
+                ,                                                                      \
+                uint32_t correlate_len_b = ARR_DESC_ELT(                               \
+                    uint32_t, correlate_len_idx, &(correlate_lens_b));                 \
+                                                                                       \
+                /* Display test parameter values */                                    \
+                 JTEST_DUMP_STRF("Input A Length: %d\n"                                \
+                                 "Input B Length: %d\n",                               \
+                                (int)correlate_len_a,                                  \
+                                (int)correlate_len_b);                                 \
+                                                                                       \
+                memset(filtering_output_ref,0,                                         \
+                      (2*CORRELATE_MAX_INPUT_ELTS)*sizeof(output_type));               \
+                memset(filtering_output_fut,0,                                         \
+                      (2*CORRELATE_MAX_INPUT_ELTS)*sizeof(output_type));               \
+                                                                                       \
+                TEST_CALL_FUT_AND_REF(                                                 \
+                    fut, fut_arg_interface(                                            \
+                        input_a_ptr, correlate_len_a, input_b_ptr, correlate_len_b),   \
+                    ref, ref_arg_interface(                                            \
+                        input_a_ptr, correlate_len_a, input_b_ptr, correlate_len_b));  \
+                                                                                       \
+                FILTERING_SNR_COMPARE_INTERFACE(                                       \
+                    correlate_len_a + correlate_len_b - 2,                             \
+                    output_type)));                                                    \
+                                                                                       \
+        return JTEST_TEST_PASSED;                                                      \
+    }
+
+#define CORRELATE_DEFINE_TEST(fn_name, suffix, output_type, test_template)    \
+    test_template(                                                            \
+        arm_##fn_name##_##suffix,                                             \
+        CORRELATE_arm_##fn_name##_INPUT_INTERFACE,                            \
+        ref_##fn_name##_##suffix,                                             \
+        CORRELATE_ref_##fn_name##_INPUT_INTERFACE,                            \
+        suffix,                                                               \
+        output_type                                                           \
+        ) /* Note the lacking semicolon*/
+
+/* Tests on functions without partial outputs */
+CORRELATE_DEFINE_TEST(correlate          , f32, float32_t, CORRELATE_TEST_TEMPLATE);
+CORRELATE_DEFINE_TEST(correlate          , q31, q31_t    , CORRELATE_TEST_TEMPLATE);
+CORRELATE_DEFINE_TEST(correlate          , q15, q15_t    , CORRELATE_TEST_TEMPLATE);
+CORRELATE_DEFINE_TEST(correlate          , q7 , q7_t     , CORRELATE_TEST_TEMPLATE);
+CORRELATE_DEFINE_TEST(correlate_opt      , q15, q15_t    , CORRELATE_TEST_TEMPLATE);
+
+CORRELATE_TEST_TEMPLATE(
+   arm_correlate_opt_q7,
+   CORRELATE_arm_correlate_opt_q7_INPUT_INTERFACE,
+   ref_correlate_opt_q7,
+   CORRELATE_ref_correlate_opt_q7_INPUT_INTERFACE,
+   q7,
+   q7_t
+   );
+
+CORRELATE_DEFINE_TEST(correlate_fast     , q31, q31_t    , CORRELATE_TEST_TEMPLATE);
+CORRELATE_DEFINE_TEST(correlate_fast     , q15, q15_t    , CORRELATE_TEST_TEMPLATE);
+CORRELATE_DEFINE_TEST(correlate_fast_opt , q15, q15_t    , CORRELATE_TEST_TEMPLATE);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(correlate_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_correlate_f32_tests);
+    JTEST_TEST_CALL(arm_correlate_q31_tests);
+    JTEST_TEST_CALL(arm_correlate_q15_tests);
+    JTEST_TEST_CALL(arm_correlate_q7_tests);
+
+    JTEST_TEST_CALL(arm_correlate_opt_q15_tests);
+    JTEST_TEST_CALL(arm_correlate_opt_q7_tests);
+
+    JTEST_TEST_CALL(arm_correlate_fast_q31_tests);
+    JTEST_TEST_CALL(arm_correlate_fast_q15_tests);
+
+    JTEST_TEST_CALL(arm_correlate_fast_opt_q15_tests);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/filtering_test_common_data.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/filtering_test_common_data.c
new file mode 100644
index 0000000..0bea4de
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/filtering_test_common_data.c
@@ -0,0 +1,757 @@
+#include "filtering_test_data.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Input/Output Buffers */
+/*--------------------------------------------------------------------------------*/
+
+//must be max(LMS_MAX_BLOCKSIZE*2, FILTERING_MAX_BLOCKSIZE * FILTERING_MAX_L)
+float32_t filtering_output_fut[LMS_MAX_BLOCKSIZE*2] = {0};
+float32_t filtering_output_ref[LMS_MAX_BLOCKSIZE*2] = {0};
+float32_t filtering_output_f32_fut[LMS_MAX_BLOCKSIZE*2] = {0};
+float32_t filtering_output_f32_ref[LMS_MAX_BLOCKSIZE*2] = {0};
+float32_t filtering_input_lms[LMS_MAX_BLOCKSIZE*2] = {0};
+__ALIGNED(8) float32_t filtering_pState[LMS_MAX_BLOCKSIZE + FILTERING_MAX_NUMTAPS] = {0};
+float32_t filtering_scratch[FILTERING_MAX_BLOCKSIZE * 3] = {0};
+float32_t filtering_scratch2[FILTERING_MAX_BLOCKSIZE * 3] = {0};
+float32_t filtering_coeffs_lms[FILTERING_MAX_NUMTAPS];
+
+const q31_t filtering_q31_inputs[FILTERING_MAX_BLOCKSIZE * FILTERING_MAX_M + FILTERING_MAX_NUMTAPS] =
+{
+    0xC14A5524, 0xCCABDA17, 0xAD6F5B56, 0xFDAFCE3B, 0xA9B226EB,
+    0x41F6F6A, 0xA5CE38BF, 0x3A978AFA, 0xBA44B82A, 0x855C0F8,
+    0x3D060524, 0x93D5E570, 0x97D7791D, 0xFFE0C38C, 0x26749841,
+    0xC0A6EE54, 0x218EC386, 0x39FF3726, 0x8DC1F7CA, 0x702F2CF5,
+    0xC1142FF1, 0xEC1476AB, 0x15F640DD, 0xE62CCE49, 0x3805DE7E,
+    0xF70871FE, 0xCF8BD360, 0x8D19A8A0, 0xD764F821, 0xA58558CF,
+    0x8C0CE04D, 0x50A46C19, 0x66D2370D, 0x50FA359A, 0xB646AE24,
+    0x6CE00F5C, 0xE6D48948, 0xB55BD831, 0x3B72950A, 0x9EB69530,
+    0x73394127, 0x773FA6F4, 0x9805A980, 0x838DE587, 0x9CF597F4,
+    0xA2AD1691, 0xFA81A473, 0x7CDC7D7F, 0x4A5190D0, 0xED895BB9,
+    0x8FD60F35, 0x1A21D530, 0xA0EB6DDA, 0xBDE6A516, 0x2501A3E1,
+    0x5ED893C8, 0xE1E175B1, 0xACBBB2F3, 0xED350907, 0xDB140D7E,
+    0xEEAE272D, 0xBE229841, 0xC18BFB88, 0xA6BB9B80, 0xBCF090E4,
+    0x24DB166C, 0xF9AB7E42, 0x62DF28D1, 0xC7004665, 0xE3F56FC6,
+    0x419E0C75, 0x46BE9F38, 0x2432B9B2, 0x758D83E0, 0xDCE12926,
+    0x3F57CB74, 0x1F4458E2, 0xF1DD639, 0x83A1FB49, 0x173AFC76,
+    0x86EF7531, 0x48D32F34, 0x7D3E3063, 0x8F2FB549, 0x5C314C9,
+    0x18CBEB6D, 0xA6F8B697, 0x447B9E9C, 0x2E32BA33, 0xD074D715,
+    0x81ACD746, 0xE55A4E04, 0x4891860F, 0x1DA3EB4F, 0xE0E6A27F,
+    0x20BFDEB4, 0xD0B3A25B, 0x40C10544, 0xC15656C, 0x15405EAE,
+    0x9858E3E1, 0xA36A9C4E, 0x88BD21F9, 0xAACF7A68, 0x773665E5,
+    0xCEDFDF66, 0x617A9610, 0x524FC968, 0xC2D086CD, 0x5F008079,
+    0x24DCA447, 0x6A4F5599, 0xB706CD4A, 0x1DE70608, 0xA33A2EE5,
+    0x137E488E, 0x98061B7B, 0x4079D69D, 0xA4A897D5, 0xC4CEC8F5,
+    0xD75F7883, 0x22406802, 0xF1AD70BB, 0x9D4ADD79, 0xBCBC7CE4,
+    0xB358C0D8, 0x85792E47, 0xA7ADAC05, 0x3D19EEAB, 0x331AC0AF,
+    0x33035831, 0x13D93987, 0xFC542094, 0x845F317E, 0xDDC4BF8B,
+    0x1379E50C, 0x5C20193F, 0xFDD58298, 0x9D482B82, 0x4A6BE062,
+    0xDC8A757B, 0x272917C1, 0x90E1EFBC, 0x355AD882, 0xE6F8EA35,
+    0x604555A1, 0x7DFFFBB, 0xF58AE216, 0x9A11B463, 0xD3541BAD,
+    0xA1576756, 0x483BED8D, 0x1F05AFCC, 0xCEA63DFB, 0x55B84677,
+    0xFB2E04F2, 0x787AF96C, 0x84A12CD3, 0x460A9BD, 0x9DB22DD8,
+    0x1A8C7F28, 0x861E452E, 0x932D3F78, 0x7652D852, 0x73357BBA,
+    0xEBBB0A58, 0x62536AFA, 0x3F6B65EF, 0x6DC57B58, 0x9EB798CE,
+    0xE6B0A740, 0xDFF68B47, 0x3247FB8F, 0xFFF3D302, 0xA9FD3E40,
+    0x475A43D1, 0x6FF9528A, 0x2018A09D, 0x47E0F9C9, 0x4CF5F6D3,
+    0x2807CE34, 0xDD6FD8ED, 0x234045D1, 0x51CEB5F9, 0x25297896,
+    0x6443A0FE, 0x8F4449A9, 0xD4C3E1C6, 0xF01D52F1, 0x4E09C820,
+    0xF18F0810, 0xE1548689, 0xF9DE5A1F, 0x5286DC23, 0x48AC3A4B,
+    0xEA0C1BE0, 0xA1B785DB, 0x7086465D, 0x1CC10929, 0x1E1D716E,
+    0xED231D4C, 0x2049D108, 0xB8FF9971, 0x949CF8D4, 0x441F1E8B,
+    0xC3D95372, 0x69C324B4, 0xA10BFDC9, 0xC781DE78, 0x82476137,
+    0xE163DDF, 0x390DEEC2, 0xAF68CE5B, 0x8E680ABD, 0x8223A615,
+    0x92593380, 0x7B1465FE, 0x865AE957, 0x930F53EB, 0xED772EF7,
+    0x10E916B6, 0xE3BCFA68, 0x2ACB80BB, 0xE51C5590, 0x994714B5,
+    0xF30984EE, 0x59BBE1B4, 0xB4867DBC, 0xB91C706C, 0xBC16C218,
+    0xA8931CD0, 0x129A66AB, 0x13171F4D, 0x62882872, 0x4B167FD4,
+    0xE6902F4C, 0xFA794932, 0xD4B152C, 0xB0856EA9, 0x39466D55,
+    0x3669E451, 0x8F5B9E8C, 0x877A3C6A, 0x51B956B4, 0x367EAD2A,
+    0x9D2C662A, 0x78FB6880, 0x4E6D40B6, 0x4070EFDC, 0x4DF9679C,
+    0x20306EDB, 0xE381AAE7, 0xA55DA748, 0x9B8B617B, 0x3E036FAD,
+    0x84E4C4A7, 0xD5A3F517, 0x669BA988, 0x98FDDE8C, 0x67BD85CE,
+    0x34BBB46C, 0x76994800, 0x85B9D8B6, 0x6DFA2FEF, 0x205DB5C,
+    0x9F843C4C, 0x72721B52, 0x73EF6B86, 0x5FB98B61, 0xC323DDAC,
+    0x31D424B4, 0xF68C0D7E, 0x162FAF9D, 0x7B2A7A99, 0xF9392693,
+    0xC42D12C0, 0x8692A73E, 0xD9A1EE80, 0xDD956856, 0x44E7BDAC,
+    0x8D874532, 0x5F5C9DD0, 0x5D167858, 0x8559FEA2, 0x9D821476,
+    0xD9654ED2, 0x594C0DC7, 0x1A87B506, 0x3F693200, 0x7A651AB5,
+    0xA0CCBC8A, 0x9F9E662C, 0x78EF631, 0x2A09DA0, 0xB088C72F,
+    0x92EE0D42, 0x360DCD5F, 0xF333FE48, 0x8D63CC06, 0x233A8ACB,
+    0x706651ED, 0x7AA5C079, 0x262239D1, 0x3EBBEBB6, 0xA25A4F3D,
+    0x32581A06, 0x6E6FD780, 0x5773F7C7, 0x75ED1DDC, 0x90DF2D15,
+    0xBC79A9BC, 0xB7175917, 0x354E381C, 0x762AADD7, 0xF643DAC1,
+    0xF3BBF49E, 0xD2FECE7E, 0x6C8140F4, 0xD7694875, 0x92D30822,
+    0xC742A7CF, 0xB792ED98, 0x121CFE24, 0xA04E1EE7, 0x58CE268,
+    0x215A080, 0x316CB323, 0xFAB14A31, 0xE1C13C03, 0xFD8EF4F1,
+    0xF3F446D0, 0x6C6CEA0A, 0xBBFDF9FB, 0x67242969, 0xBE55A4EB,
+    0x8FF5534, 0x52F0DF1C, 0x9710ADE3, 0xD40F4A21, 0x7984E8E7,
+    0x419545EB, 0x993F7880, 0xAB246B20, 0x408AABC4, 0xCBF6EA49,
+    0xC0894C55, 0x4CAA6398, 0xA47856E9, 0xAF2AE47D, 0x22F55D33,
+    0xF0D37915, 0xD0634C72, 0xD983671, 0x2BCC5AF8, 0x9A77D48,
+    0xC11B5CFA, 0xF107CD7E, 0x3A6B3593, 0xE1425F05, 0x6271812A,
+    0x5B838310, 0xBD8418CA, 0x10A58792, 0x239F7137, 0xA13D5071,
+    0x7F9930D4, 0xA462664F, 0x54180F8E, 0x291585BA, 0xE586B87A,
+    0x144B2C12, 0x98E425C7, 0xBAA4B373, 0x18F0D03C, 0x99462AC0,
+    0xD8B4D2EF, 0x72473895, 0xA6BF5435, 0xEDAD53B, 0xE0912FA6,
+    0x5C33F331, 0x3D93CD7, 0x4D03D752, 0x20699929, 0xB89962F9,
+    0x36E781E9, 0xF58B642C, 0x5FCA69E3, 0x5960A7F4, 0xAD5AAFD0,
+    0xDF18324A, 0x3DB1E5AA, 0x76BA3876, 0x1BC29AF6, 0xBCC18841,
+    0x73A60174, 0x625BFF58, 0x67C57724, 0x4458E53C, 0xE157B095,
+    0x2B370837, 0x83DF6CE3, 0xDD08EEFA, 0x3F52A7C2, 0x191B4785,
+    0x60843D82, 0xB0DE11F1, 0x105EA26C, 0x6E1C7AA2, 0x47AADD14,
+    0xB6676D03, 0x3B8D4DF6, 0x737A694, 0x409521DC, 0x744206A,
+    0xC722023F, 0x2BE4EAD5, 0x63E11D76, 0xCA4A09AB, 0x5CF2D2B9,
+    0x31586916, 0xCDFD7D84, 0xB203F634, 0xAD7329D4, 0xC524582F,
+    0x2E53E6C1, 0xBB0E019B, 0xB8538C6A, 0x6A2542D, 0x8A6A00E5,
+    0x119725CC, 0x5406D347, 0x1B6FFAF1, 0xECCF71F1, 0x981117F2,
+    0x7167CA76, 0x74F4B880, 0x77A55F47, 0x59EADB62, 0x4A331D95,
+    0xBCBBA76F, 0xA45C4D50, 0xC718D5, 0x87CE05D1, 0x60D47AD5,
+    0xA5CA9C40, 0xB0061766, 0xE69B39DF, 0xBD5F1320, 0x9930EAD3,
+    0xA8B38325, 0x8DD090F, 0x6A6EEF37, 0x2DF16F66, 0xAB514C7E,
+    0x31109C58, 0xFD48C7FC, 0x515341CA, 0x77AB8EA6, 0x41328DAF,
+    0xBAF8D31E, 0xA4B31611, 0xED37F331, 0x7A832A22, 0xA22591C7,
+    0x722D1F89, 0x3B19CF18, 0x261B8A4D, 0xC3F6F6DB, 0xCF8CED61,
+    0x990FA250, 0xA02E72A9, 0x560DCEA2, 0xB08E67B4, 0x3674E663,
+    0x97CC3852, 0xA7EB2EAC, 0xFFDE0AA8, 0xA64719A, 0x23269EDD,
+    0x3C0B339E, 0x86284D40, 0x48D82ECB, 0xA4D4CCF8, 0x43631B91,
+    0x4BF0C248, 0xB6497B9B, 0x6827BC58, 0xE30B7AF9, 0xA0CCBF26,
+    0x6C3B7B71, 0xD744B3ED, 0xFA25D2F6, 0x4CDE642D, 0xD65B8142,
+    0xA6F9207F, 0xE7A207BE, 0xDB506684, 0x44DA4780, 0x9175EA0C,
+    0x156104AF, 0x4155E1B0, 0x6E3A6886, 0x9DBA1EA2, 0x5423D9C8,
+    0xCC024E22, 0x758F852A, 0x1DD6395, 0x2D19CBAD, 0xE164F5A1,
+    0xC2084602, 0x89C274AD, 0x13CB5562, 0xD7FE2D5B, 0xE07A4EE5,
+    0x1672BA91, 0x4F624CCF, 0x2E5EA4A3, 0x28FEEFAF, 0xBDDA6EF4,
+    0x32AFD40C, 0x99A5FB3B, 0xDD1D73A3, 0xA342CB3E, 0xA78445F5,
+    0x53979C3B, 0x427D7943, 0x5221B58C, 0xA6CE9A5E, 0xFB50ECA4,
+    0xBB86E36E, 0x60839F6D, 0xC5E1C2F3, 0xA1B7FB04, 0xFBB65E0C,
+    0x78B80F5E, 0xFD8D972B, 0x3BF3BA90, 0x2D572D9, 0x2B5BC920,
+    0xB6A0DE01, 0xD274D306, 0xC7C6C855, 0x9CAA669B, 0xB04AA641,
+    0x4D6B1760, 0x3E17ED79, 0xD23241B0, 0xA4A6F957, 0xCBDE76AF,
+    0x4E5F9493, 0x4C215DA5, 0x33A052B, 0x1A4D80C2, 0x40AEEBCA,
+    0x390D106B, 0xE9E8E018, 0x5AF3D6CF, 0xE35E1D4, 0xC4FB1C6,
+    0x14B6299B, 0x8D2E25F0, 0xCCBF932A, 0xC5AC18B6, 0x2227567D,
+    0x86B5CE2F, 0x26344534, 0x22C515EC, 0x2442B70D, 0xEC3721C6,
+    0x34EF687D, 0x9C06323A, 0xEAF3EA60, 0x60396F52, 0xEAE78AA1,
+    0xC9D06CBC, 0x6F95F6C8, 0x584CC258, 0xBA9A27BB, 0x66DF8D47,
+    0x9D4804EA, 0x57DD9E67, 0xF89C7895, 0xF5336111, 0x25C122C8,
+    0x62742114, 0xCFBF6D26, 0xBF9F6482, 0xE6F02CD9, 0x11083202,
+    0xC99E2618, 0x7EBC9351, 0x440112F1, 0xC9DFFBC1, 0x3BF4DC25,
+    0xB1BA7FA0, 0x61AF9AED, 0x6B1F7D29, 0xAD865294, 0xE3E01129,
+    0x7E9E77A5, 0x100435D7, 0x9FE3A71, 0x88597C81, 0x722849FA,
+    0x31C5A0AF, 0xFBA178DC, 0x7F102D31, 0x5CA07864, 0x950E6F98,
+    0x82C34882, 0x5D041F11, 0x8C613C57, 0xD398CFD1, 0x426F38AD,
+    0x5599AB1D, 0xFAFA078D, 0xAB25B413, 0xD94B32CF, 0xB288FE38,
+    0x2893BB46, 0x9A0B4168, 0xA91BCA94, 0x653A5E8D, 0x2174EBBE,
+    0xDEFE6415, 0x30DA429C, 0xD0C5E40C, 0xB4719AA4, 0xD29CE7A6,
+    0x905957CD, 0xCD287499, 0x83CA0AA7, 0xA8385832, 0x25A0CA02,
+    0xC20D47A4, 0xB562F556, 0x4BC19E4C, 0xD9E215C7, 0x27E838B4,
+    0xC58612F4, 0xA2827F6F, 0xC49DCDBA, 0x679B7362, 0x4E495845,
+    0xCFD2F0D1, 0x395E76A0, 0x375A655E, 0x92E2058F, 0x73F9F0CA,
+    0x61EFF3B3, 0x51FFD362, 0xE7410345, 0x7FDA8B3B, 0xA219E2E8,
+    0x17ABE543, 0x26557412, 0x4B30084D, 0xA68E191D, 0xFE0D93DF,
+    0x73EF127D, 0x4DECDDB1, 0x77FAF45F, 0xD6002898, 0x92DD0A40,
+    0x157F6DDF, 0xC2A55F8E, 0x4359F924, 0xFB630C3F, 0x338B6B58,
+    0xB2945F75, 0x4FA23A0E, 0x836EB8C0, 0xB3B18FD, 0x86114337,
+    0x24668ACB, 0x99BB82F0, 0x924C8A47, 0xBA959701, 0x81155ABF,
+    0x8C612D71, 0x36074CA7, 0xD1668C41, 0xE35F58C7, 0x7FC2802D,
+    0x8E6A7CF3, 0x65B07D07, 0x815F6A6B, 0x791BF0DD, 0x6E47D719,
+    0xC24394C7, 0xE84A6EB, 0xF194AFEE, 0x464A2F52, 0x677579FD,
+    0xEBA775AE, 0x1F6EEFF, 0x9A795237, 0x78D9D45F, 0x9D0B344D,
+    0xBBD34AB7, 0x2F85B12A, 0x16C5C2AD, 0x3990985D, 0x88DF3351,
+    0x82811AA5, 0x6D351F41, 0x4066A69D, 0x86B660BF, 0x6EDB4768,
+    0xDDD78CF0, 0xB5D74F6E, 0xE89E220C, 0x91439687, 0x947CC9C9,
+    0x3857E2BD, 0x302F8AE4, 0x1DABE7F8, 0x4832D6C9, 0x37D58FCB,
+    0x4EA8A711, 0xCD7BAC98, 0x19DBF8BC, 0xD8DE8DC2, 0xEAFF7E7B,
+    0xB7629C93, 0x792C6E19, 0xF7009192, 0xFF88439D, 0x2E196A66,
+    0xEC71B78C, 0xEAF4BB3A, 0x7C16225E, 0x668F337, 0xCBEE1608,
+    0x6D5B5552, 0x345DC590, 0x681209CC, 0x7B24A819, 0xD08A1416,
+    0x99888FE3, 0x9FC7288A, 0x24BD8502, 0xEA1D9678, 0x20EECA0,
+    0x59BEA057, 0x5ADE91EB, 0xDEA8E49D, 0xFA200E6F, 0x9149C81D,
+    0xF2281E93, 0x8A5B0451, 0x67312D58, 0xE3B849F1, 0xD2217960,
+    0x7CDF59F3, 0x33C775C0, 0x9EBA8799, 0x7DF9506, 0xB4E96110,
+    0xB8FCF3E3, 0xDEA059B2, 0x8229B6EA, 0x316486F6, 0x43919185,
+    0x6C0D90F3, 0x1C6F3DF8, 0x38DB92A9, 0x5CD41244, 0x2C9F0A7B,
+    0xDF4A315F, 0xF7CE9C66, 0x4C800860, 0x318D53E0, 0xF105C20D,
+    0xD753E1F2, 0x750810BA, 0xA17ECCA5, 0x2010140, 0x4D884763,
+    0xC2BB0DA7, 0xB2D5BA74, 0x141CECD4, 0x887FDFC3, 0xC64B53,
+    0x2D2A85F6, 0x15532B45, 0x5D5CBCE1, 0xBEB9A16A, 0xA214611B,
+    0x9FC5AC5F, 0x11AE5DD7, 0xA0B9A5A9, 0xFC648AF4, 0x740009AC,
+    0xED0E0321, 0xB8E6A61, 0x8910C544, 0xC74F26C8, 0x9525CCF3,
+    0xB41AEB59, 0xE61984CE, 0x598B2197, 0xA412E59D, 0xE1976DD4,
+    0xB29BBE16, 0x88FD9FB0, 0xB04006F3, 0xB45E309, 0xD5CC15F1,
+    0xD9DAF630, 0xDC809335, 0x803ED52, 0xB537F5A5, 0xA994F6EB,
+    0xF5288568, 0xF66FD264, 0x2EA2B3A6, 0x647619F3, 0xFFB38C7A,
+    0x1BC03B9, 0xB6BC3061, 0xBF30596E, 0xBE2AD27B, 0x8AC04220,
+    0x641979A3, 0x9ECCBB89, 0xA144FBC1, 0x4E8FAE26, 0x8C5A9D90,
+    0x299ED467, 0xD7C9C7E3, 0x1D4865ED, 0x76F31C3D, 0xCEE81CDF,
+    0xB479195E, 0x6FFB3AE1, 0xDC8A398, 0x300F7364, 0xC7940AFA,
+    0x3B85BE3E, 0xD98CC40D, 0xA24A3D89, 0x3A674204, 0x22888A38,
+    0x2E77F2D, 0xA2841C9C, 0xCF0689C3, 0x9FE98922, 0x89335017,
+    0x2D6B69A7, 0xFEDB63F9, 0x899AF4EF, 0x9F9F9B40, 0xA4BE97E8,
+    0xA51DAF7A, 0x16AC50D3, 0xA8D7ED6, 0xED193443, 0x7615EF1B,
+    0xB0DF6A4E, 0x64FFE794, 0xE3DB2C9A, 0x7435B022, 0x556E825C,
+    0x23802AF9, 0xC25098A4, 0xE75A18BB, 0x70B2A7B9, 0x7FB81BF,
+    0x63EF910, 0x6C669591, 0x6574DD2B, 0xCF6E379D, 0xD2B3AFAC,
+    0x1E6A1101, 0x1DE22385, 0x2338191F, 0xC69704B6, 0xCBABC599,
+    0x54EB4809, 0x7839BE6D, 0xD50017DD, 0x39B1A0E1, 0x288D52D3,
+    0x2D52668C, 0x20D22A68, 0x4E1207D1, 0x3FCC0EFE, 0x47F3FE64,
+    0x25177A90, 0xB4BFDD4D, 0xDA8DBDCE, 0x6F7275A8, 0x6BEAA655,
+    0xAA1810FC, 0xE4DB593A, 0x8A4D4BC0, 0x2C402E93, 0xF1C0F7F9,
+    0x6F0CC577, 0x70412414, 0x752F9DC1, 0xD82E38EA, 0xAC455F7B,
+    0x4DCD4EDB, 0x92BC2696, 0xFB03F135, 0x4FCA1F8C, 0xBD5E75F6,
+    0x502F41B0, 0x3616D3F1, 0x2E5B8E31, 0x2026EB19, 0x57E783D7,
+    0x467BBE00, 0x4703ABA3, 0x1F776B9C, 0xE2570A84, 0xFEC7DB48,
+    0x1BD5012, 0xFD0A2D5D, 0x7FCC29F2, 0x291304B6, 0x99D5D8ED,
+    0xC7551C8, 0xFD12F38F, 0xBADE8892, 0xDF749997, 0xA5DAE2F,
+    0x2B9FA269, 0x5C13CFED, 0x15E9A399, 0x54437F4E, 0xA72DB2AB,
+    0x56186AA1, 0xFE4DB55C, 0xA34D7836, 0x2A879760, 0xC63FA94,
+    0xAC18B207, 0x5FC78B3, 0x7F10621E, 0xA769E6B2, 0xEC9F4A11,
+    0xCE3F982C, 0x62BA2EF5, 0xA5F239CD, 0x73D63FED, 0xE36E9F5E,
+    0x8AC1DA0E, 0x3F3DB3EB, 0x738326EA, 0x35C366B1, 0xCD476E86,
+    0x82F6B208, 0xF11A9FC1, 0x426AC396, 0x7E4D1B93, 0x75E4EDB7,
+    0xAF3C44A7, 0x51A5EF5C, 0xFAD2463D, 0x8A5639CA, 0xC995AC78,
+    0xCC4BE4F6, 0x3AFE7F8D, 0x66993D04, 0x4386FF37, 0xCBC1C6C2,
+    0x55A8F5EC, 0xE81A9A75, 0x30A67E1B, 0x4A4A7D0C, 0x20F7F993,
+    0x1891805, 0x738976AD, 0xD426E7D6, 0x3C5CEEBF, 0x4499187F,
+    0xABF17C97, 0x447C317F, 0x68D8419C, 0x7AAB6456, 0x421BCF29,
+    0xF6740F9C, 0x8916BB8D, 0x3D72AAB, 0x9AD54DD7, 0x7549C6EE,
+    0x7317342B, 0xA18546D4, 0x1056BDA7, 0x54BBCCCE, 0x8CE63E46,
+    0x5D146234, 0x33BE6C63, 0xB250C4E5, 0x89D72335, 0x87C36BA,
+    0xB65530CC, 0x2DFAC48C, 0x1663D16F, 0x59B80AA, 0x950274EA,
+    0x92532D4A, 0x3CEF802D, 0x492FBDA5, 0xA63A2574, 0xEF8005C2,
+    0x94A18651, 0xAF627ABA, 0x6829B238, 0xA698F646, 0xD2598516,
+    0x10144D36, 0xD9B1D1B9, 0xAB2ACF05, 0x5395B699, 0xA7851C75,
+    0x1806C6F3, 0xAE970306, 0x3284B145, 0x98F4FE8F, 0xECDD35CC,
+    0xDDC1EE0E, 0xC4848865, 0x925826BD, 0x4078BE39, 0x68A8561A,
+    0x323045DC, 0xA933B37F, 0xBA2AEE2E, 0x4F24F65D, 0x349EE246,
+    0xF97B9D0E, 0x46DC5759, 0x4529F425, 0x80D17B42, 0x8E16F709,
+    0x1B42206A, 0x4934A526, 0x391BB6DE, 0xB52EF45C, 0x26C30290,
+    0xCBA23CAA, 0xA501A8C3, 0xD922C4F8, 0xE8824E53, 0x6F4255DC,
+    0x5960B544, 0x58BC69D6, 0xCA936323, 0xFDDF053C, 0xC2E002D6,
+    0x7D750755, 0x8A3F9CD1, 0x35F8F6F8, 0xFB7BD154, 0x65CFF94F,
+    0x390A58DD, 0xD97C4093, 0x501CA2A3, 0x8EA5DEBC, 0xCA93461F,
+    0xE02D984C, 0x126F8517, 0x39FDD887, 0x46241AE9, 0x777E854D,
+    0xE2B36349, 0x58E3FA9F, 0x971DEF1E, 0x8E156228, 0xC0E14E9,
+    0xA9A01BE6, 0xB318C990, 0x971680D6, 0xA1F359CE, 0x487E23F4,
+    0x7DE465B0, 0x4E4C905E, 0x2A652959, 0x116FF167, 0x5C74AAB9,
+    0x467BBE00, 0x4703ABA3, 0x1F776B9C, 0xE2570A84, 0xFEC7DB48,
+    0x1BD5012, 0xFD0A2D5D, 0x7FCC29F2, 0x291304B6, 0x99D5D8ED,
+    0xC7551C8, 0xFD12F38F, 0xBADE8892, 0xDF749997, 0xA5DAE2F,
+    0x2B9FA269, 0x5C13CFED, 0x15E9A399, 0x54437F4E, 0xA72DB2AB,
+    0x56186AA1, 0xFE4DB55C, 0xA34D7836, 0x2A879760, 0xC63FA94,
+    0xAC18B207, 0x5FC78B3, 0x7F10621E, 0xA769E6B2, 0xEC9F4A11,
+    0xCE3F982C, 0x62BA2EF5, 0xA5F239CD, 0x4FEFC920, 0x28DF4EB8,
+    0x29EBF45A, 0x1E350CF6
+ };
+
+/* The source data is random across the q31_t range. Accessing it by word should
+   remain random. */
+const q15_t * filtering_q15_inputs = (q15_t *) filtering_q31_inputs;
+const q7_t * filtering_q7_inputs = (q7_t *) filtering_q31_inputs;
+
+const float32_t filtering_f32_inputs[FILTERING_MAX_BLOCKSIZE * FILTERING_MAX_M + FILTERING_MAX_NUMTAPS] =
+{
+    43.0264275639  , -17.0525215570 , -94.8488973910 , -8.1924989580  , 7.2830326091   , 66.8368719314  , 33.9778190671  , 117.8652289772 ,
+    -129.6077797465, -14.6420815368 , 18.0239223278  , 20.6760530292  , 55.0375037651  , 1.8674609862   , -85.6534302408 , -33.5750364909 ,
+    29.2110949614  , 110.4727049460 , -94.1914619387 , -1.4084169343  , 83.5181653041  , 47.3073514127  , -13.3420621181 , 30.3389699104  ,
+    12.1188124277  , 100.9730921941 , -114.0146362390, -77.5823200409 , 37.2019034618  , 40.0026301128  , -58.3387276630 , -34.9472398600 ,
+    -5.1169678311  , -87.7660091118 , -150.5888601131, 56.0349370503  , 50.2168884079  , -74.2313236767 , 22.3648603560  , -6.8676387051  ,
+    74.8957303680  , -90.1292012823 , -55.1436241586 , -66.6732976100 , -6.7918147615  , 7.7612697081   , 35.7892605979  , -20.0470508830 ,
+    41.8369017546  , -143.7378056984, -41.9127158600 , -108.3531841158, -57.1917422289 , -124.2808828105, 38.9316388820  , -77.9212517405 ,
+    37.1990818377  , -28.9545952748 , -155.6371057564, 45.8088886393  , 36.2537018275  , -6.5727656016  , -104.2070491921, 45.5583813729  ,
+    -19.7674717059 , -80.4802190947 , -1.4444563441  , -42.2142256438 , 36.6546339194  , -57.0866498590 , 44.4677067511  , 65.7285753407  ,
+    -103.8158864647, 25.4348723711  , -153.5419639389, 39.3608409474  , 49.1658103436  , 79.5570602275  , 75.2944095996  , 58.9394700746  ,
+    -53.1018534392 , 33.4172444014  , 35.6224682287  , -64.4353396418 , -125.8464291251, -47.6072111617 , -26.2177687594 , -12.0061322096 ,
+    -17.7887967585 , -28.2926175090 , -62.0691715749 , 40.5098573604  , -191.1123732593, 119.6750713043 , 19.6182375803  , -26.7615252921 ,
+    2.2957847015   , -108.3436451287, -50.5906164995 , -5.6360985100  , -11.6772204201 , -84.2765293757 , -60.9317810068 , 82.0446350218  ,
+    -70.2048296348 , 72.8738253222  , 60.2450218115  , 114.2741231228 , 46.8180775285  , 6.9915412654   , -8.9909197429  , -78.9165936808 ,
+    66.4731535459  , -68.4235455651 , -79.8254597080 , -10.6308477115 , -62.6161569330 , -55.7744410292 , -11.8408366528 , 98.1034940997  ,
+    35.8213741877  , -54.4694482732 , 86.9631830044  , -53.0343838122 , -47.4898642865 , -47.2010929590 , -31.3312639685 , -23.0908245172 ,
+    12.0258009869  , -5.1098204703  , -9.8420230737  , -107.3328761158, 44.6810431959  , -17.9083820345 , -60.9753512872 , -7.5915088994  ,
+    17.2250813329  , 57.9176125648  , 124.3004161362 , -63.1950908493 , 120.5788885640 , -44.1734238117 , -91.7408095116 , -43.5696066595 ,
+    -49.9560710099 , -167.8513443296, -70.9437505499 , -46.4109705355 , -64.2264526456 , -13.9995803916 , -100.9548186356, 9.9101010575   ,
+    -50.0615130815 , -55.7590145012 , -60.3195153388 , 61.7913378549  , -102.0850899209, 53.2360193126  , -25.8997883369 , 75.1445512333  ,
+    -113.8148602310, 17.8027281119  , -19.5006822722 , -44.2169628471 , 107.5017084384 , -113.7909124666, -43.9735396033 , 7.6880981388   ,
+    46.7384653508  , 9.9047443751   , 81.8646964362  , 132.3812863877 , -95.6959050236 , -68.5015813484 , 65.8586404494  , 18.5039353889  ,
+    -30.1786166621 , -90.3098515667 , -22.9356228552 , -20.5778272423 , -2.2127786675  , -35.4418447703 , -51.8722915974 , -107.9024439078,
+    -51.5940748232 , -51.7463262677 , 74.2795485984  , 94.2205022462  , 9.7016384049   , -47.3556083155 , -36.7822314478 , -151.6455525363,
+    -15.7183814485 , 78.2063383182  , 0.1516414969   , 37.9304181609  , 20.6185902740  , -22.2164106778 , 6.1160554677   , 2.4061326953   ,
+    -111.6681824598, -60.0858917090 , 75.1698614693  , -76.5787410444 , 28.3391655715  , -2.4946186443  , -68.0378899682 , 104.0893199171 ,
+    -51.8319647254 , 38.8521710524  , 75.9114239564  , 73.9206172905  , -103.2533029987, 6.9002718274   , -36.6346436319 , -25.1990926265 ,
+    1.5852145953   , -50.6438436795 , 21.5018844428  , -151.9305562846, -51.7326681814 , 21.4475994143  , 42.2564011921  , -74.0520586926 ,
+    49.7370635809  , -13.2957534126 , 36.6746826778  , -31.7005492589 , 148.4894964268 , 79.7890632353  , 16.8856024809  , 16.1690460177  ,
+    39.2665169484  , 117.2461167794 , -37.4827984831 , -47.8387803604 , -95.7025286193 , 34.3058214285  , -124.9536456028, 56.1640195764  ,
+    94.3636873606  , 35.3992852810  , -38.3920852159 , -100.5738062016, -29.7837022314 , 42.9133913996  , -34.2715618187 , -14.3589115627 ,
+    -16.5935468750 , 20.4574192236  , -88.7897972666 , -38.6285080386 , 53.3203422726  , 98.5991486746  , 122.7305462474 , 67.7902817187  ,
+    5.1764117389   , 5.0632821624   , 21.9288789574  , -78.3140512638 , -21.2069682335 , 23.6342010925  , 34.4445769455  , 59.1346766615  ,
+    28.9978778000  , 39.8121180845  , -17.1650033520 , -56.9174900874 , 17.8157086148  , -112.8801457350, -122.4019040408, 140.8669393157 ,
+    -65.4664329639 , 40.6952775518  , 32.7260891658  , -43.2565155866 , 19.3945751928  , -20.1815002000 , -67.6601711640 , -18.1921178207 ,
+    -35.6802153684 , 49.9550290306  , 131.4925251016 , -31.2940938167 , -5.2848453344  , -109.5580577933, 20.2437599390  , -8.8782958734  ,
+    54.1836717264  , 7.2555852190   , -3.5698316137  , -51.9236786262 , 6.7861547980   , -104.4814551670, 45.8458629668  , 70.0890876844  ,
+    38.3572837740  , 61.8024165129  , 68.0176962024  , -12.8193934080 , -21.4661610917 , -0.9377108815  , -74.2100679061 , 71.0490808147  ,
+    91.9813889497  , -14.5797640164 , 3.5036749129   , -138.3605478356, -48.1501349794 , -16.0636922482 , -12.1334197606 , 15.0562207637  ,
+    -34.0878176054 , 55.1075126157  , 97.3829871877  , 0.2053358099   , -94.8713267382 , 51.5460954054  , 21.2966946363  , 58.1331025047  ,
+    -23.4599044132 , -19.3315856528 , -8.4497193577  , -1.9594679356  , -33.1906549336 , -144.6825417978, -57.1218958072 , 35.7353406097  ,
+    61.4666549819  , 14.6536253128  , 82.1632196866  , -44.6230161723 , -91.1022589278 , -18.5737673927 , -136.8975612334, 56.9606788003  ,
+    70.7059960183  , -68.2829345081 , -10.2629800455 , -53.6385325047 , -68.7928766204 , 88.2444688302  , 83.1412324801  , -102.9206928160,
+    -68.2329763159 , -69.7552955469 , 108.2132269009 , -28.2582329307 , 5.6685898328   , -36.0392956840 , 43.3269513128  , -8.6436416796  ,
+    -16.5054886972 , 11.5008791788  , 39.6923606683  , -28.9039554061 , 13.5938214364  , -23.6296332202 , 49.1171161163  , 53.1636857935  ,
+    -62.9672053166 , -54.2594757384 , 48.3838956696  , 8.0469071555   , -33.6472086213 , -120.5381752144, 55.0880453111  , 17.8990740563  ,
+    144.9402232336 , 101.7886229203 , -73.3666393712 , -16.4721379138 , -12.7447935685 , 101.8245160983 , -49.7026860415 , -15.1227790364 ,
+    65.7430288442  , -131.8695390036, 10.2750933946  , 90.9752774838  , -26.5859990591 , -95.6962772568 , 76.2174589344  , 24.8796848060  ,
+    -38.8938223046 , 54.1687774852  , -37.3585968996 , -34.6848570502 , 33.0151011570  , -55.8345877671 , -3.9009101671  , -31.5024971691 ,
+    -9.6863895491  , 91.8719195957  , -58.9993249744 , -25.6887030614 , -8.0829472205  , 4.6386491741   , -71.4019697167 , -21.3734669095 ,
+    86.2079144404  , 79.6823974266  , -0.0910915997  , 44.8067718095  , 58.7204020766  , 72.6856808976  , -50.3373732478 , -116.1175365534,
+    -15.0884909384 , 5.4593772059   , -63.6553527905 , 37.3460388205  , -32.2399421679 , 95.7569350513  , -7.3700141964  , -56.0370832967 ,
+    -41.7377150439 , -42.0042856519 , 12.5134312941  , 93.7845584531  , -32.4801087157 , -33.3976050318 , -24.2252126001 , -46.3199064467 ,
+    -20.3704610276 , 15.8571376404  , 88.9127217235  , -33.1132582267 , -1.0005675836  , -28.1780471904 , 150.9349379135 , 38.0600520828  ,
+    36.4338677563  , -3.3709201641  , 29.7709773016  , 16.5064119077  , 21.3147729463  , 110.6714300904 , 18.8406036507  , 14.8963298097  ,
+    50.9975960392  , 16.3991140350  , -194.0805845907, -41.6723945839 , -74.8991127408 , -6.4587655805  , -0.6883628218  , -49.8709647175 ,
+    194.2265120473 , 64.3043624521  , 16.0040882780  , 68.4032551772  , -43.4050313128 , 84.6826289824  , -28.1357565943 , 134.6895584120 ,
+    -7.9746152680  , -95.6692886462 , -48.9444370342 , 79.4479343188  , -50.5345228122 , 52.4800633307  , -14.7735051703 , -20.1510237050 ,
+    22.5049816980  , 64.4191999102  , 24.8385648232  , 99.4265041360  , 62.0189508473  , -28.3892600378 , -109.8842008564, -79.0407483407 ,
+    18.3408112020  , 49.1650536089  , 31.5419844924  , -36.1160722679 , -132.9148081329, 10.4053531567  , -129.2463715470, -43.4602207151 ,
+    -24.2420653292 , 91.5388317556  , 21.4762248190  , -44.3810909139 , 18.4098011282  , -45.8691164539 , -20.9831197962 , 16.2076792914  ,
+    66.0224147666  , -13.6794615513 , 101.2163279622 , -62.4462618603 , 22.2040981785  , -52.3208382802 , -24.7909079016 , 58.5150375093  ,
+    18.8569705105  , -55.6083430939 , 131.0273367422 , -34.5209015065 , 121.4357296573 , -77.2590299593 , -51.5929566898 , 5.0247131098   ,
+    -23.8451707592 , -4.5912313547  , 31.1387246821  , 61.7019310824  , 49.1912429744  , -50.5836913031 , -74.8182600630 , -21.6209317022 ,
+    20.9409464654  , -72.7870824583 , -28.3530746820 , -45.0794425434 , -13.4910629905 , -62.0158772255 , -34.1421181246 , 44.2844972784  ,
+    8.4213193211   , 79.9349022793  , 60.0160502260  , 32.2272994080  , -72.2893887746 , 17.3063698247  , -134.6335742431, 64.6499736261  ,
+    7.1411921919   , -37.5517577873 , 6.2405670930   , 117.1920927305 , 128.7420689815 , -3.1556854963  , -13.4100422909 , -11.9336372907 ,
+    -8.6022400553  , -102.0033506666, -78.4696575074 , 15.0765861403  , -111.5219718576, -13.4162786508 , 38.2437013694  , 61.1637732561  ,
+    -34.4804160003 , 107.4438003830 , -79.4193067813 , -81.1842853968 , -26.2622970331 , 132.3205425408 , -119.1464268477, 67.3048866598  ,
+    103.3266736715 , -58.1865815617 , 27.6231908601  , -11.2004371750 , 26.0340617206  , 12.5696123916  , 0.6442714420   , -30.7393043544 ,
+    1.5314955897   , 49.9110088250  , -106.1358721920, 51.1608329944  , -32.8684239794 , -27.7215905745 , -11.6450303367 , -36.7731678028 ,
+    59.9383486599  , -4.6301990580  , 5.0361682939   , -10.5669407980 , 124.0908762205 , 35.8305364082  , -123.6216777114, -74.2569079167 ,
+    -56.7651776816 , 16.0736385582  , 23.5030632215  , -110.6764295938, 44.3086821806  , 9.4452708243   , 5.3300080251   , 39.0483916714  ,
+    151.4550562868 , 62.8957092621  , -116.8103461233, 5.1129927759   , -33.2252515135 , -9.4522506046  , 22.7026048372  , -15.5264414569 ,
+    71.2087620034  , 19.1191568332  , 50.3019546809  , -5.6096922409  , 22.9344126462  , -7.7591876203  , 31.8949515564  , -58.4253952381 ,
+    66.4341297173  , -19.0583083044 , 96.7695087855  , 20.4934280047  , 4.9544603116   , -20.8288135920 , -173.2659655408, -62.4883621640 ,
+    -48.5528422703 , 12.1437504278  , 60.2482234666  , -19.6072312919 , -34.6320214291 , 129.0089698963 , -50.9042160618 , 98.3952661477  ,
+    -4.7051792479  , -13.1768910826 , 69.5138802139  , 58.5748201565  , -45.9385652563 , 151.7952104306 , 34.2541941013  , -58.0417838381 ,
+    28.1480473670  , 46.4006562684  , 97.7001828545  , 4.0855607626   , -32.6097018162 , 16.8913949959  , 105.7266202978 , -89.3978374651 ,
+    -60.9338593128 , -41.2220734230 , 49.9393070783  , 95.0974764854  , 49.2498366456  , 58.6214364590  , 34.1113830569  , 45.6634098874  ,
+    -22.5356086770 , -97.1978653617 , 86.5565049535  , 70.6118545777  , -30.6978082909 , 118.7238621666 , 14.5922386932  , 11.3449652072  ,
+    65.6007783405  , 82.6369678204  , -52.0390492248 , -47.0160551227 , -95.5142448634 , 99.7162626888  , -36.5523815090 , -42.8042935534 ,
+    68.3566199798  , -13.8451547552 , -71.1629911780 , 36.2989433752  , -32.4867163365 , 112.4079947071 , -75.6295117422 , 47.5276421639  ,
+    51.8078250755  , -26.8715188457 , -9.6291144797  , 40.1999849640  , -38.4634033246 , 40.9764960915  , -26.1715730268 , 36.5996396515  ,
+    -26.9924731886 , 53.7879986570  , -83.1658398348 , 23.6381378489  , 43.8794937753  , -55.4133836419 , 90.0266130838  , 14.1036181982  ,
+    -18.1225736715 , 85.1363181151  , -62.5970846379 , -18.5291947838 , -25.7341986703 , -49.7061342931 , -59.0442763971 , 50.8960636803  ,
+    -87.6471123430 , -36.7217762531 , 22.5952364054  , 11.1107885650  , -0.5377327229  , 160.8145792630 , 73.3103441505  , 10.1656872354  ,
+    -50.4554350397 , -57.3478171016 , -15.4201715357 , -26.9135446491 , -4.9891264771  , -37.0226770057 , -80.9919535641 , 50.4418660876  ,
+    -25.8517575250 , -69.9538258421 , -17.5730160671 , 15.9405836751  , 113.9545230349 , -46.1040379057 , -94.2458635014 , -69.0338522452 ,
+    43.5813790265  , 107.1836101171 , -55.1012654323 , -77.1529555887 , -33.1530320656 , -94.5582659641 , -53.6837586872 , 27.0680381378  ,
+    93.9385415207  , -61.0955216188 , 18.0530957225  , 7.9150142320   , -12.1218191587 , 34.0173961457  , 40.0084937565  , 9.8119275580   ,
+    44.2065861274  , -1.8718514394  , 67.4740024215  , 46.7391150131  , 207.2404815875 , 45.1635364462  , 43.3580102761  , -44.0244218674 ,
+    83.2387206007  , -8.6441851856  , 12.3993902588  , -22.5091685270 , -19.8332981376 , 97.9196509289  , -76.6720306234 , 28.9740705859  ,
+    121.9415248016 , 9.6656982611   , -51.0996453694 , 37.3704374740  , 74.7589840907  , -113.4066752631, 120.0029566342 , -105.3786221360,
+    81.8152755619  , -13.4979932982 , -21.4680758393 , -85.1088235539 , -65.3610798409 , -35.0444139470 , -48.0220794487 , -41.6210317362 ,
+    33.1212995259  , -82.1480936443 , -10.5479715135 , 76.4601917004  , 42.1983651157  , 92.6104239912  , -42.3536237955 , -24.5644182272 ,
+    30.4446637772  , -90.2899420489 , 63.6723540422  , 103.0895811428 , 64.1706769263  , -10.7069812309 , 21.8927240409  , 6.3571071738   ,
+    57.1457649358  , -52.9866276448 , 66.0981829072  , -29.5372056881 , -79.2252039810 , -136.2440652798, -57.0106422562 , 86.8203548141  ,
+    66.4244149837  , 53.3230426111  , -66.1283059222 , -131.0402660353, 8.0548411081   , 122.9088988100 , 1.2626894208   , -60.5059112373 ,
+    -68.8707203082 , -6.4747987200  , 85.8411327244  , 99.9624156733  , 90.4197864338  , -35.9630441182 , -22.9158275507 , -17.3660128776 ,
+    16.7845345761  , 34.7219749782  , -39.3513765878 , 1.0460702756   , -60.9494500182 , 20.0900333387  , -85.9636743832 , 88.4400782168  ,
+    15.0729628728  , 61.5499846243  , 11.8579871757  , 107.8617581581 , -42.9393027864 , -62.8422307621 , -19.0589600542 , 4.0750325807   ,
+    -36.0651825425 , 55.7638724501  , -10.4691736080 , -55.5672537178 , -61.2061519915 , -21.1885348576 , -131.2535612498, 24.7463552676  ,
+    22.9426321237  , 14.3038202264  , -138.0926317438, -59.0892900856 , -162.5416439986, 7.1307658250   , -141.1236672256, -4.7173618068  ,
+    -16.7741532807 , -68.2615451173 , -2.6608701102  , 84.1978109826  , -11.3446202072 , 59.9630033088  , -1.8994925010  , -37.9301641959 ,
+    -119.4435600954, -11.4587491646 , 12.2423215240  , -7.3169898616  , -67.0373621128 , 36.0198843055  , 53.9791315249  , -134.5885680695,
+    -83.8330811965 , -16.6714816463 , -8.8498552035  , -24.0513088196 , -22.9444328877 , -37.7961441531 , 25.1975736186  , -136.1611637464,
+    -5.0843464033  , -10.3939554694 , 20.7422826935  , 75.6854136623  , 46.4179626736  , -57.0052830175 , 7.3457235521   , -51.5504447254 ,
+    -158.4375751701, -200.2426967181, -48.1234996261 , 1.6623945527   , 21.1746524375  , 99.4092980367  , -2.3206772903  , 45.7989166757  ,
+    2.0181548348   , -88.0556010969 , -59.1527212096 , 47.3607925077  , -10.4181140309 , 56.3558125650  , -8.9799125560  , -30.0376711812 ,
+    -36.7132904688 , 35.7785050392  , -13.0763909369 , -2.1855594714  , 18.1550954005  , -28.6711803575 , -55.4495172398 , -2.8812973198  ,
+    -59.9575059158 , 40.0588875786  , 57.4713686602  , -3.2835144853  , -36.7193552111 , -64.9415131516 , -166.9555466445, -23.5556853844 ,
+    -54.9408569587 , -35.2310451959 , 21.3345143458  , 65.7590671151  , 51.2214538168  , 46.1271939944  , -42.2235267919 , 127.2329928299 ,
+    105.2391778600 , 17.6726845966  , -129.9021148044, 8.7065613044   , -94.0987112511 , -3.5375742950  , -23.1385452379 , 60.6219530633  ,
+    92.5445564235  , 48.5111974469  , -52.5699309159 , -60.0634811685 , 25.9034368684  , 140.0249495491 , 1.5918852392   , 38.0266038291  ,
+    17.5588710703  , 3.4294066089   , -27.6748782173 , 59.6182974489  , -35.2924781853 , -38.6198576115 , -13.6119803198 , 7.8375587489   ,
+    22.7250686519  , -28.3524510951 , -34.4269062817 , 22.6464817325  , -61.6528147860 , -5.9782002429  , 61.4730771294  , 43.5582379527  ,
+    55.6862408270  , 87.8745651631  , 46.3401042715  , -19.8780979663 , 74.1272633369  , 29.8590452377  , -12.8665765140 , 34.2931401219  ,
+    53.9279617551  , -16.9017895140 , -70.1527553166 , -79.6367897992 , 109.3728271017 , -129.2214826835, -53.4644539730 , -51.5654458993 ,
+    17.6062148433  , 3.5090251835   , 74.2615941204  , -109.3431097845, 40.1403465151  , 28.8714561280  , 94.0868659302  , -19.0047033845 ,
+    -60.0967410050 , -19.0998457619 , -67.2027075128 , 72.0711434846  , -17.8737851232 , 123.7050551274 , 132.6331504104 , 25.5018761009  ,
+    -36.7817189239 , -29.1580893235 , -6.5848563828  , 90.2868948516  , -35.7017258498 , -68.5675432955 , -52.4888589786 , 47.1377730021  ,
+    -7.4546621940  , -52.0657517138 , -49.0404829633 , -114.6910280126, -117.6819819437, -32.7856729408 , 31.8232065591  , 12.1192973039  ,
+    35.2678513420  , -1.0336778293  , 30.7021249679  , 127.0442906046 , -84.8457819393 , 28.9862843096  , -47.3524701726 , -126.1094998460,
+    -2.9700276582  , -2.4956545870  , -53.8624121141 , -85.2114117637 , 76.9057985618  , 137.1205201755 , -19.0830817212 , 14.3407526579  ,
+    -56.5921994449 , -25.6084873186 , -44.9470801106 , -133.3139496090, 0.3487447576   , 33.4499716730  , 34.7126257844  , -9.3307383323  ,
+    27.2996276947  , 10.8765676134  , -91.1032360444 , -90.9584216222 , 1.6981490570   , 96.8557438791  , 56.7726390913  , -44.3246449237 ,
+    52.3260643361  , 21.5551140465  , 27.4535327381  , 2.0072717479   , 7.4823125629   , 77.1185863870  , 16.1372262663  , -10.7206012957 ,
+    66.8830091413  , 49.3523828287  , 54.0855375598  , 30.8570349345  , -10.9255375390 , 62.3910624674  , 30.9238561381  , 0.3352881853   ,
+    72.1022806197  , -28.8319885008 , 23.3335288806  , 46.8999035980  , -67.0984424822 , -164.7917209112, 42.5767681360  , -92.4668227688 ,
+    43.8491734282  , -17.1126540408 , 37.4819594334  , 69.0774409673  , -39.3530526854 , -14.0693747124 , -60.2520781215 , -80.3860105519 ,
+    32.6689956840  , 15.3393042576  , -18.5529761307 , 97.3942151573  , -4.4462855745  , 13.7614349817  , 158.3358780719 , -44.7258299667 ,
+    -17.7741912819 , 116.5136962268 , -33.6261057820 , 22.8344441288  , -155.1423976144, 5.7070117893   , -22.7906543902 , -45.0633909283 ,
+    -13.9329987929 , -66.0848932507 , 1.1383038109   , 123.8386958483 , 67.6662401589  , 45.9152963554  , -27.4397697462 , 97.9596747354  ,
+    -6.3544655181  , 29.0832146722  , 96.3468162499  , 32.4535976137  , -91.0650399301 , 2.7293262791   , 70.7853483111  , -92.3655274571 ,
+    69.0359217256  , 83.1530567979  , 35.8375091111  , 7.3393552348   , -95.1770165365 , 76.4905790891  , 55.6253140577  , -29.5315327050 ,
+    -16.5935468750 , 20.4574192236  , -88.7897972666 , -38.6285080386 , 53.3203422726  , 98.5991486746  , 122.7305462474 , 67.7902817187  ,
+    5.1764117389   , 5.0632821624   , 21.9288789574  , -78.3140512638 , -21.2069682335 , 23.6342010925  , 34.4445769455  , 59.1346766615  ,
+    28.9978778000  , 39.8121180845  , -17.1650033520 , -56.9174900874 , 17.8157086148  , -112.8801457350, -122.4019040408, 140.8669393157 ,
+    -65.4664329639 , 40.6952775518  , 32.7260891658  , -43.2565155866 , 19.3945751928  , -20.1815002000 , -67.6601711640 , -18.1921178207 ,
+    -35.6802153684 , -19.6571455162
+};
+
+const float64_t filtering_f64_inputs[FILTERING_MAX_BLOCKSIZE * FILTERING_MAX_M + FILTERING_MAX_NUMTAPS] =
+{
+    43.0264275639  , -17.0525215570 , -94.8488973910 , -8.1924989580  , 7.2830326091   , 66.8368719314  , 33.9778190671  , 117.8652289772 ,
+    -129.6077797465, -14.6420815368 , 18.0239223278  , 20.6760530292  , 55.0375037651  , 1.8674609862   , -85.6534302408 , -33.5750364909 ,
+    29.2110949614  , 110.4727049460 , -94.1914619387 , -1.4084169343  , 83.5181653041  , 47.3073514127  , -13.3420621181 , 30.3389699104  ,
+    12.1188124277  , 100.9730921941 , -114.0146362390, -77.5823200409 , 37.2019034618  , 40.0026301128  , -58.3387276630 , -34.9472398600 ,
+    -5.1169678311  , -87.7660091118 , -150.5888601131, 56.0349370503  , 50.2168884079  , -74.2313236767 , 22.3648603560  , -6.8676387051  ,
+    74.8957303680  , -90.1292012823 , -55.1436241586 , -66.6732976100 , -6.7918147615  , 7.7612697081   , 35.7892605979  , -20.0470508830 ,
+    41.8369017546  , -143.7378056984, -41.9127158600 , -108.3531841158, -57.1917422289 , -124.2808828105, 38.9316388820  , -77.9212517405 ,
+    37.1990818377  , -28.9545952748 , -155.6371057564, 45.8088886393  , 36.2537018275  , -6.5727656016  , -104.2070491921, 45.5583813729  ,
+    -19.7674717059 , -80.4802190947 , -1.4444563441  , -42.2142256438 , 36.6546339194  , -57.0866498590 , 44.4677067511  , 65.7285753407  ,
+    -103.8158864647, 25.4348723711  , -153.5419639389, 39.3608409474  , 49.1658103436  , 79.5570602275  , 75.2944095996  , 58.9394700746  ,
+    -53.1018534392 , 33.4172444014  , 35.6224682287  , -64.4353396418 , -125.8464291251, -47.6072111617 , -26.2177687594 , -12.0061322096 ,
+    -17.7887967585 , -28.2926175090 , -62.0691715749 , 40.5098573604  , -191.1123732593, 119.6750713043 , 19.6182375803  , -26.7615252921 ,
+    2.2957847015   , -108.3436451287, -50.5906164995 , -5.6360985100  , -11.6772204201 , -84.2765293757 , -60.9317810068 , 82.0446350218  ,
+    -70.2048296348 , 72.8738253222  , 60.2450218115  , 114.2741231228 , 46.8180775285  , 6.9915412654   , -8.9909197429  , -78.9165936808 ,
+    66.4731535459  , -68.4235455651 , -79.8254597080 , -10.6308477115 , -62.6161569330 , -55.7744410292 , -11.8408366528 , 98.1034940997  ,
+    35.8213741877  , -54.4694482732 , 86.9631830044  , -53.0343838122 , -47.4898642865 , -47.2010929590 , -31.3312639685 , -23.0908245172 ,
+    12.0258009869  , -5.1098204703  , -9.8420230737  , -107.3328761158, 44.6810431959  , -17.9083820345 , -60.9753512872 , -7.5915088994  ,
+    17.2250813329  , 57.9176125648  , 124.3004161362 , -63.1950908493 , 120.5788885640 , -44.1734238117 , -91.7408095116 , -43.5696066595 ,
+    -49.9560710099 , -167.8513443296, -70.9437505499 , -46.4109705355 , -64.2264526456 , -13.9995803916 , -100.9548186356, 9.9101010575   ,
+    -50.0615130815 , -55.7590145012 , -60.3195153388 , 61.7913378549  , -102.0850899209, 53.2360193126  , -25.8997883369 , 75.1445512333  ,
+    -113.8148602310, 17.8027281119  , -19.5006822722 , -44.2169628471 , 107.5017084384 , -113.7909124666, -43.9735396033 , 7.6880981388   ,
+    46.7384653508  , 9.9047443751   , 81.8646964362  , 132.3812863877 , -95.6959050236 , -68.5015813484 , 65.8586404494  , 18.5039353889  ,
+    -30.1786166621 , -90.3098515667 , -22.9356228552 , -20.5778272423 , -2.2127786675  , -35.4418447703 , -51.8722915974 , -107.9024439078,
+    -51.5940748232 , -51.7463262677 , 74.2795485984  , 94.2205022462  , 9.7016384049   , -47.3556083155 , -36.7822314478 , -151.6455525363,
+    -15.7183814485 , 78.2063383182  , 0.1516414969   , 37.9304181609  , 20.6185902740  , -22.2164106778 , 6.1160554677   , 2.4061326953   ,
+    -111.6681824598, -60.0858917090 , 75.1698614693  , -76.5787410444 , 28.3391655715  , -2.4946186443  , -68.0378899682 , 104.0893199171 ,
+    -51.8319647254 , 38.8521710524  , 75.9114239564  , 73.9206172905  , -103.2533029987, 6.9002718274   , -36.6346436319 , -25.1990926265 ,
+    1.5852145953   , -50.6438436795 , 21.5018844428  , -151.9305562846, -51.7326681814 , 21.4475994143  , 42.2564011921  , -74.0520586926 ,
+    49.7370635809  , -13.2957534126 , 36.6746826778  , -31.7005492589 , 148.4894964268 , 79.7890632353  , 16.8856024809  , 16.1690460177  ,
+    39.2665169484  , 117.2461167794 , -37.4827984831 , -47.8387803604 , -95.7025286193 , 34.3058214285  , -124.9536456028, 56.1640195764  ,
+    94.3636873606  , 35.3992852810  , -38.3920852159 , -100.5738062016, -29.7837022314 , 42.9133913996  , -34.2715618187 , -14.3589115627 ,
+    -16.5935468750 , 20.4574192236  , -88.7897972666 , -38.6285080386 , 53.3203422726  , 98.5991486746  , 122.7305462474 , 67.7902817187  ,
+    5.1764117389   , 5.0632821624   , 21.9288789574  , -78.3140512638 , -21.2069682335 , 23.6342010925  , 34.4445769455  , 59.1346766615  ,
+    28.9978778000  , 39.8121180845  , -17.1650033520 , -56.9174900874 , 17.8157086148  , -112.8801457350, -122.4019040408, 140.8669393157 ,
+    -65.4664329639 , 40.6952775518  , 32.7260891658  , -43.2565155866 , 19.3945751928  , -20.1815002000 , -67.6601711640 , -18.1921178207 ,
+    -35.6802153684 , 49.9550290306  , 131.4925251016 , -31.2940938167 , -5.2848453344  , -109.5580577933, 20.2437599390  , -8.8782958734  ,
+    54.1836717264  , 7.2555852190   , -3.5698316137  , -51.9236786262 , 6.7861547980   , -104.4814551670, 45.8458629668  , 70.0890876844  ,
+    38.3572837740  , 61.8024165129  , 68.0176962024  , -12.8193934080 , -21.4661610917 , -0.9377108815  , -74.2100679061 , 71.0490808147  ,
+    91.9813889497  , -14.5797640164 , 3.5036749129   , -138.3605478356, -48.1501349794 , -16.0636922482 , -12.1334197606 , 15.0562207637  ,
+    -34.0878176054 , 55.1075126157  , 97.3829871877  , 0.2053358099   , -94.8713267382 , 51.5460954054  , 21.2966946363  , 58.1331025047  ,
+    -23.4599044132 , -19.3315856528 , -8.4497193577  , -1.9594679356  , -33.1906549336 , -144.6825417978, -57.1218958072 , 35.7353406097  ,
+    61.4666549819  , 14.6536253128  , 82.1632196866  , -44.6230161723 , -91.1022589278 , -18.5737673927 , -136.8975612334, 56.9606788003  ,
+    70.7059960183  , -68.2829345081 , -10.2629800455 , -53.6385325047 , -68.7928766204 , 88.2444688302  , 83.1412324801  , -102.9206928160,
+    -68.2329763159 , -69.7552955469 , 108.2132269009 , -28.2582329307 , 5.6685898328   , -36.0392956840 , 43.3269513128  , -8.6436416796  ,
+    -16.5054886972 , 11.5008791788  , 39.6923606683  , -28.9039554061 , 13.5938214364  , -23.6296332202 , 49.1171161163  , 53.1636857935  ,
+    -62.9672053166 , -54.2594757384 , 48.3838956696  , 8.0469071555   , -33.6472086213 , -120.5381752144, 55.0880453111  , 17.8990740563  ,
+    144.9402232336 , 101.7886229203 , -73.3666393712 , -16.4721379138 , -12.7447935685 , 101.8245160983 , -49.7026860415 , -15.1227790364 ,
+    65.7430288442  , -131.8695390036, 10.2750933946  , 90.9752774838  , -26.5859990591 , -95.6962772568 , 76.2174589344  , 24.8796848060  ,
+    -38.8938223046 , 54.1687774852  , -37.3585968996 , -34.6848570502 , 33.0151011570  , -55.8345877671 , -3.9009101671  , -31.5024971691 ,
+    -9.6863895491  , 91.8719195957  , -58.9993249744 , -25.6887030614 , -8.0829472205  , 4.6386491741   , -71.4019697167 , -21.3734669095 ,
+    86.2079144404  , 79.6823974266  , -0.0910915997  , 44.8067718095  , 58.7204020766  , 72.6856808976  , -50.3373732478 , -116.1175365534,
+    -15.0884909384 , 5.4593772059   , -63.6553527905 , 37.3460388205  , -32.2399421679 , 95.7569350513  , -7.3700141964  , -56.0370832967 ,
+    -41.7377150439 , -42.0042856519 , 12.5134312941  , 93.7845584531  , -32.4801087157 , -33.3976050318 , -24.2252126001 , -46.3199064467 ,
+    -20.3704610276 , 15.8571376404  , 88.9127217235  , -33.1132582267 , -1.0005675836  , -28.1780471904 , 150.9349379135 , 38.0600520828  ,
+    36.4338677563  , -3.3709201641  , 29.7709773016  , 16.5064119077  , 21.3147729463  , 110.6714300904 , 18.8406036507  , 14.8963298097  ,
+    50.9975960392  , 16.3991140350  , -194.0805845907, -41.6723945839 , -74.8991127408 , -6.4587655805  , -0.6883628218  , -49.8709647175 ,
+    194.2265120473 , 64.3043624521  , 16.0040882780  , 68.4032551772  , -43.4050313128 , 84.6826289824  , -28.1357565943 , 134.6895584120 ,
+    -7.9746152680  , -95.6692886462 , -48.9444370342 , 79.4479343188  , -50.5345228122 , 52.4800633307  , -14.7735051703 , -20.1510237050 ,
+    22.5049816980  , 64.4191999102  , 24.8385648232  , 99.4265041360  , 62.0189508473  , -28.3892600378 , -109.8842008564, -79.0407483407 ,
+    18.3408112020  , 49.1650536089  , 31.5419844924  , -36.1160722679 , -132.9148081329, 10.4053531567  , -129.2463715470, -43.4602207151 ,
+    -24.2420653292 , 91.5388317556  , 21.4762248190  , -44.3810909139 , 18.4098011282  , -45.8691164539 , -20.9831197962 , 16.2076792914  ,
+    66.0224147666  , -13.6794615513 , 101.2163279622 , -62.4462618603 , 22.2040981785  , -52.3208382802 , -24.7909079016 , 58.5150375093  ,
+    18.8569705105  , -55.6083430939 , 131.0273367422 , -34.5209015065 , 121.4357296573 , -77.2590299593 , -51.5929566898 , 5.0247131098   ,
+    -23.8451707592 , -4.5912313547  , 31.1387246821  , 61.7019310824  , 49.1912429744  , -50.5836913031 , -74.8182600630 , -21.6209317022 ,
+    20.9409464654  , -72.7870824583 , -28.3530746820 , -45.0794425434 , -13.4910629905 , -62.0158772255 , -34.1421181246 , 44.2844972784  ,
+    8.4213193211   , 79.9349022793  , 60.0160502260  , 32.2272994080  , -72.2893887746 , 17.3063698247  , -134.6335742431, 64.6499736261  ,
+    7.1411921919   , -37.5517577873 , 6.2405670930   , 117.1920927305 , 128.7420689815 , -3.1556854963  , -13.4100422909 , -11.9336372907 ,
+    -8.6022400553  , -102.0033506666, -78.4696575074 , 15.0765861403  , -111.5219718576, -13.4162786508 , 38.2437013694  , 61.1637732561  ,
+    -34.4804160003 , 107.4438003830 , -79.4193067813 , -81.1842853968 , -26.2622970331 , 132.3205425408 , -119.1464268477, 67.3048866598  ,
+    103.3266736715 , -58.1865815617 , 27.6231908601  , -11.2004371750 , 26.0340617206  , 12.5696123916  , 0.6442714420   , -30.7393043544 ,
+    1.5314955897   , 49.9110088250  , -106.1358721920, 51.1608329944  , -32.8684239794 , -27.7215905745 , -11.6450303367 , -36.7731678028 ,
+    59.9383486599  , -4.6301990580  , 5.0361682939   , -10.5669407980 , 124.0908762205 , 35.8305364082  , -123.6216777114, -74.2569079167 ,
+    -56.7651776816 , 16.0736385582  , 23.5030632215  , -110.6764295938, 44.3086821806  , 9.4452708243   , 5.3300080251   , 39.0483916714  ,
+    151.4550562868 , 62.8957092621  , -116.8103461233, 5.1129927759   , -33.2252515135 , -9.4522506046  , 22.7026048372  , -15.5264414569 ,
+    71.2087620034  , 19.1191568332  , 50.3019546809  , -5.6096922409  , 22.9344126462  , -7.7591876203  , 31.8949515564  , -58.4253952381 ,
+    66.4341297173  , -19.0583083044 , 96.7695087855  , 20.4934280047  , 4.9544603116   , -20.8288135920 , -173.2659655408, -62.4883621640 ,
+    -48.5528422703 , 12.1437504278  , 60.2482234666  , -19.6072312919 , -34.6320214291 , 129.0089698963 , -50.9042160618 , 98.3952661477  ,
+    -4.7051792479  , -13.1768910826 , 69.5138802139  , 58.5748201565  , -45.9385652563 , 151.7952104306 , 34.2541941013  , -58.0417838381 ,
+    28.1480473670  , 46.4006562684  , 97.7001828545  , 4.0855607626   , -32.6097018162 , 16.8913949959  , 105.7266202978 , -89.3978374651 ,
+    -60.9338593128 , -41.2220734230 , 49.9393070783  , 95.0974764854  , 49.2498366456  , 58.6214364590  , 34.1113830569  , 45.6634098874  ,
+    -22.5356086770 , -97.1978653617 , 86.5565049535  , 70.6118545777  , -30.6978082909 , 118.7238621666 , 14.5922386932  , 11.3449652072  ,
+    65.6007783405  , 82.6369678204  , -52.0390492248 , -47.0160551227 , -95.5142448634 , 99.7162626888  , -36.5523815090 , -42.8042935534 ,
+    68.3566199798  , -13.8451547552 , -71.1629911780 , 36.2989433752  , -32.4867163365 , 112.4079947071 , -75.6295117422 , 47.5276421639  ,
+    51.8078250755  , -26.8715188457 , -9.6291144797  , 40.1999849640  , -38.4634033246 , 40.9764960915  , -26.1715730268 , 36.5996396515  ,
+    -26.9924731886 , 53.7879986570  , -83.1658398348 , 23.6381378489  , 43.8794937753  , -55.4133836419 , 90.0266130838  , 14.1036181982  ,
+    -18.1225736715 , 85.1363181151  , -62.5970846379 , -18.5291947838 , -25.7341986703 , -49.7061342931 , -59.0442763971 , 50.8960636803  ,
+    -87.6471123430 , -36.7217762531 , 22.5952364054  , 11.1107885650  , -0.5377327229  , 160.8145792630 , 73.3103441505  , 10.1656872354  ,
+    -50.4554350397 , -57.3478171016 , -15.4201715357 , -26.9135446491 , -4.9891264771  , -37.0226770057 , -80.9919535641 , 50.4418660876  ,
+    -25.8517575250 , -69.9538258421 , -17.5730160671 , 15.9405836751  , 113.9545230349 , -46.1040379057 , -94.2458635014 , -69.0338522452 ,
+    43.5813790265  , 107.1836101171 , -55.1012654323 , -77.1529555887 , -33.1530320656 , -94.5582659641 , -53.6837586872 , 27.0680381378  ,
+    93.9385415207  , -61.0955216188 , 18.0530957225  , 7.9150142320   , -12.1218191587 , 34.0173961457  , 40.0084937565  , 9.8119275580   ,
+    44.2065861274  , -1.8718514394  , 67.4740024215  , 46.7391150131  , 207.2404815875 , 45.1635364462  , 43.3580102761  , -44.0244218674 ,
+    83.2387206007  , -8.6441851856  , 12.3993902588  , -22.5091685270 , -19.8332981376 , 97.9196509289  , -76.6720306234 , 28.9740705859  ,
+    121.9415248016 , 9.6656982611   , -51.0996453694 , 37.3704374740  , 74.7589840907  , -113.4066752631, 120.0029566342 , -105.3786221360,
+    81.8152755619  , -13.4979932982 , -21.4680758393 , -85.1088235539 , -65.3610798409 , -35.0444139470 , -48.0220794487 , -41.6210317362 ,
+    33.1212995259  , -82.1480936443 , -10.5479715135 , 76.4601917004  , 42.1983651157  , 92.6104239912  , -42.3536237955 , -24.5644182272 ,
+    30.4446637772  , -90.2899420489 , 63.6723540422  , 103.0895811428 , 64.1706769263  , -10.7069812309 , 21.8927240409  , 6.3571071738   ,
+    57.1457649358  , -52.9866276448 , 66.0981829072  , -29.5372056881 , -79.2252039810 , -136.2440652798, -57.0106422562 , 86.8203548141  ,
+    66.4244149837  , 53.3230426111  , -66.1283059222 , -131.0402660353, 8.0548411081   , 122.9088988100 , 1.2626894208   , -60.5059112373 ,
+    -68.8707203082 , -6.4747987200  , 85.8411327244  , 99.9624156733  , 90.4197864338  , -35.9630441182 , -22.9158275507 , -17.3660128776 ,
+    16.7845345761  , 34.7219749782  , -39.3513765878 , 1.0460702756   , -60.9494500182 , 20.0900333387  , -85.9636743832 , 88.4400782168  ,
+    15.0729628728  , 61.5499846243  , 11.8579871757  , 107.8617581581 , -42.9393027864 , -62.8422307621 , -19.0589600542 , 4.0750325807   ,
+    -36.0651825425 , 55.7638724501  , -10.4691736080 , -55.5672537178 , -61.2061519915 , -21.1885348576 , -131.2535612498, 24.7463552676  ,
+    22.9426321237  , 14.3038202264  , -138.0926317438, -59.0892900856 , -162.5416439986, 7.1307658250   , -141.1236672256, -4.7173618068  ,
+    -16.7741532807 , -68.2615451173 , -2.6608701102  , 84.1978109826  , -11.3446202072 , 59.9630033088  , -1.8994925010  , -37.9301641959 ,
+    -119.4435600954, -11.4587491646 , 12.2423215240  , -7.3169898616  , -67.0373621128 , 36.0198843055  , 53.9791315249  , -134.5885680695,
+    -83.8330811965 , -16.6714816463 , -8.8498552035  , -24.0513088196 , -22.9444328877 , -37.7961441531 , 25.1975736186  , -136.1611637464,
+    -5.0843464033  , -10.3939554694 , 20.7422826935  , 75.6854136623  , 46.4179626736  , -57.0052830175 , 7.3457235521   , -51.5504447254 ,
+    -158.4375751701, -200.2426967181, -48.1234996261 , 1.6623945527   , 21.1746524375  , 99.4092980367  , -2.3206772903  , 45.7989166757  ,
+    2.0181548348   , -88.0556010969 , -59.1527212096 , 47.3607925077  , -10.4181140309 , 56.3558125650  , -8.9799125560  , -30.0376711812 ,
+    -36.7132904688 , 35.7785050392  , -13.0763909369 , -2.1855594714  , 18.1550954005  , -28.6711803575 , -55.4495172398 , -2.8812973198  ,
+    -59.9575059158 , 40.0588875786  , 57.4713686602  , -3.2835144853  , -36.7193552111 , -64.9415131516 , -166.9555466445, -23.5556853844 ,
+    -54.9408569587 , -35.2310451959 , 21.3345143458  , 65.7590671151  , 51.2214538168  , 46.1271939944  , -42.2235267919 , 127.2329928299 ,
+    105.2391778600 , 17.6726845966  , -129.9021148044, 8.7065613044   , -94.0987112511 , -3.5375742950  , -23.1385452379 , 60.6219530633  ,
+    92.5445564235  , 48.5111974469  , -52.5699309159 , -60.0634811685 , 25.9034368684  , 140.0249495491 , 1.5918852392   , 38.0266038291  ,
+    17.5588710703  , 3.4294066089   , -27.6748782173 , 59.6182974489  , -35.2924781853 , -38.6198576115 , -13.6119803198 , 7.8375587489   ,
+    22.7250686519  , -28.3524510951 , -34.4269062817 , 22.6464817325  , -61.6528147860 , -5.9782002429  , 61.4730771294  , 43.5582379527  ,
+    55.6862408270  , 87.8745651631  , 46.3401042715  , -19.8780979663 , 74.1272633369  , 29.8590452377  , -12.8665765140 , 34.2931401219  ,
+    53.9279617551  , -16.9017895140 , -70.1527553166 , -79.6367897992 , 109.3728271017 , -129.2214826835, -53.4644539730 , -51.5654458993 ,
+    17.6062148433  , 3.5090251835   , 74.2615941204  , -109.3431097845, 40.1403465151  , 28.8714561280  , 94.0868659302  , -19.0047033845 ,
+    -60.0967410050 , -19.0998457619 , -67.2027075128 , 72.0711434846  , -17.8737851232 , 123.7050551274 , 132.6331504104 , 25.5018761009  ,
+    -36.7817189239 , -29.1580893235 , -6.5848563828  , 90.2868948516  , -35.7017258498 , -68.5675432955 , -52.4888589786 , 47.1377730021  ,
+    -7.4546621940  , -52.0657517138 , -49.0404829633 , -114.6910280126, -117.6819819437, -32.7856729408 , 31.8232065591  , 12.1192973039  ,
+    35.2678513420  , -1.0336778293  , 30.7021249679  , 127.0442906046 , -84.8457819393 , 28.9862843096  , -47.3524701726 , -126.1094998460,
+    -2.9700276582  , -2.4956545870  , -53.8624121141 , -85.2114117637 , 76.9057985618  , 137.1205201755 , -19.0830817212 , 14.3407526579  ,
+    -56.5921994449 , -25.6084873186 , -44.9470801106 , -133.3139496090, 0.3487447576   , 33.4499716730  , 34.7126257844  , -9.3307383323  ,
+    27.2996276947  , 10.8765676134  , -91.1032360444 , -90.9584216222 , 1.6981490570   , 96.8557438791  , 56.7726390913  , -44.3246449237 ,
+    52.3260643361  , 21.5551140465  , 27.4535327381  , 2.0072717479   , 7.4823125629   , 77.1185863870  , 16.1372262663  , -10.7206012957 ,
+    66.8830091413  , 49.3523828287  , 54.0855375598  , 30.8570349345  , -10.9255375390 , 62.3910624674  , 30.9238561381  , 0.3352881853   ,
+    72.1022806197  , -28.8319885008 , 23.3335288806  , 46.8999035980  , -67.0984424822 , -164.7917209112, 42.5767681360  , -92.4668227688 ,
+    43.8491734282  , -17.1126540408 , 37.4819594334  , 69.0774409673  , -39.3530526854 , -14.0693747124 , -60.2520781215 , -80.3860105519 ,
+    32.6689956840  , 15.3393042576  , -18.5529761307 , 97.3942151573  , -4.4462855745  , 13.7614349817  , 158.3358780719 , -44.7258299667 ,
+    -17.7741912819 , 116.5136962268 , -33.6261057820 , 22.8344441288  , -155.1423976144, 5.7070117893   , -22.7906543902 , -45.0633909283 ,
+    -13.9329987929 , -66.0848932507 , 1.1383038109   , 123.8386958483 , 67.6662401589  , 45.9152963554  , -27.4397697462 , 97.9596747354  ,
+    -6.3544655181  , 29.0832146722  , 96.3468162499  , 32.4535976137  , -91.0650399301 , 2.7293262791   , 70.7853483111  , -92.3655274571 ,
+    69.0359217256  , 83.1530567979  , 35.8375091111  , 7.3393552348   , -95.1770165365 , 76.4905790891  , 55.6253140577  , -29.5315327050 ,
+    -16.5935468750 , 20.4574192236  , -88.7897972666 , -38.6285080386 , 53.3203422726  , 98.5991486746  , 122.7305462474 , 67.7902817187  ,
+    5.1764117389   , 5.0632821624   , 21.9288789574  , -78.3140512638 , -21.2069682335 , 23.6342010925  , 34.4445769455  , 59.1346766615  ,
+    28.9978778000  , 39.8121180845  , -17.1650033520 , -56.9174900874 , 17.8157086148  , -112.8801457350, -122.4019040408, 140.8669393157 ,
+    -65.4664329639 , 40.6952775518  , 32.7260891658  , -43.2565155866 , 19.3945751928  , -20.1815002000 , -67.6601711640 , -18.1921178207 ,
+    -35.6802153684 , -19.6571455162
+};
+
+/*--------------------------------------------------------------------------------*/
+/* Blocksizes */
+/*--------------------------------------------------------------------------------*/
+ARR_DESC_DEFINE(uint32_t,
+                filtering_blocksizes,
+                5,
+                CURLY(
+                      1, 7, 14, 32, FILTERING_MAX_BLOCKSIZE));
+
+ARR_DESC_DEFINE(uint32_t,
+                lms_blocksizes,
+                3,
+                CURLY(
+                      128, 256, LMS_MAX_BLOCKSIZE));
+
+ARR_DESC_DEFINE(uint16_t,
+                filtering_numtaps,
+                5,
+                CURLY(
+                      4, 6, 14, 32, FILTERING_MAX_NUMTAPS));
+
+ARR_DESC_DEFINE(uint16_t,
+                filtering_numtaps2,
+                5,
+                CURLY(
+                      6, 12, 18, 24, 30));
+
+ARR_DESC_DEFINE(uint16_t,
+                filtering_numstages,
+                3,
+                CURLY(
+                      1, 7, FILTERING_MAX_NUMSTAGES));
+
+ARR_DESC_DEFINE(uint8_t,
+                filtering_postshifts,
+                3,
+                CURLY(
+                      0, 1, FILTERING_MAX_POSTSHIFT));
+
+ARR_DESC_DEFINE(uint8_t,
+                filtering_Ls,
+                3,
+                CURLY(
+                      1, 2, FILTERING_MAX_L));
+
+ARR_DESC_DEFINE(uint8_t,
+                filtering_Ms,
+                6,
+                CURLY(
+                      1, 2, 4, 7, 11, FILTERING_MAX_M));
+
+
+/*--------------------------------------------------------------------------------*/
+/* Coefficient Lists */
+/*--------------------------------------------------------------------------------*/
+
+// There must be at least max( FILTERING_MAX_NUMTAPS + 2 , FILTERING_MAX_NUMSTAGES * 6 + 2) coefficients
+const float32_t filtering_coeffs_f32[FILTERING_MAX_NUMSTAGES * 6 + 2] =
+{
+	-13.0572f, 0.0f     , -97.4724f, 8.4111f  , -7.2193f , -53.7577f, 22.2630f ,
+   -1.0509f  , -25.9198f, 26.5207f , -12.6697f, -78.7453f, -0.6540f , 0.3119f  ,
+   13.4595f  , -6.7225f , -4.1313f , -38.5974f, 3.2700f  , -51.6191f, -22.4314f,
+   0.2481f   , 32.9779f , -37.6421f, 5.4469f  , -7.0023f , 24.3657f , 9.9140f  ,
+   0.2870f   , -13.0499f, 29.3333f , -53.1396f, -2.7555f , 0.5377f  , 35.3491f ,
+   -3.7134f  , 0.8548f  , 4.7469f  , -10.5865f, -2.7285f , -1.5912f , -13.3502f,
+   6.8532f   , -8.2304f , -8.1193f , 3.8257f  , -2.1703f , 13.5727f , 14.2736f ,
+   -0.9855f  , -8.9334f , -13.8883f, 11.8430f , -2.2024f , 0.9795f  , 15.6191f ,
+   5.2121f   , 10.8102f , -9.4171f , 6.0411f  , -0.9131f , 10.6992f , -3.2634f ,
+   7.5849f   , -4.9305f , -6.0549f , -7.9409f , 1.5827f  , 13.3177f , 8.6727f  ,
+   -13.2268f , 11.1239f , 0.2481f  , 32.9779f , -37.6421f, 5.4469f  , -13.8883f,
+   11.8430f  , -2.2024f , 0.9795f  , 15.6191f , 0.2481f  , 32.9779f , -37.6421f,
+   3.2700f   , -51.6191f
+};
+const float64_t filtering_coeffs_f64[FILTERING_MAX_NUMSTAGES * 6 + 2] =
+{
+	-13.0572f, 0.0f     , -97.4724f, 8.4111f  , -7.2193f , -53.7577f, 22.2630f ,
+   -1.0509f  , -25.9198f, 26.5207f , -12.6697f, -78.7453f, -0.6540f , 0.3119f  ,
+   13.4595f  , -6.7225f , -4.1313f , -38.5974f, 3.2700f  , -51.6191f, -22.4314f,
+   0.2481f   , 32.9779f , -37.6421f, 5.4469f  , -7.0023f , 24.3657f , 9.9140f  ,
+   0.2870f   , -13.0499f, 29.3333f , -53.1396f, -2.7555f , 0.5377f  , 35.3491f ,
+   -3.7134f  , 0.8548f  , 4.7469f  , -10.5865f, -2.7285f , -1.5912f , -13.3502f,
+   6.8532f   , -8.2304f , -8.1193f , 3.8257f  , -2.1703f , 13.5727f , 14.2736f ,
+   -0.9855f  , -8.9334f , -13.8883f, 11.8430f , -2.2024f , 0.9795f  , 15.6191f ,
+   5.2121f   , 10.8102f , -9.4171f , 6.0411f  , -0.9131f , 10.6992f , -3.2634f ,
+   7.5849f   , -4.9305f , -6.0549f , -7.9409f , 1.5827f  , 13.3177f , 8.6727f  ,
+   -13.2268f , 11.1239f , 0.2481f  , 32.9779f , -37.6421f, 5.4469f  , -13.8883f,
+   11.8430f  , -2.2024f , 0.9795f  , 15.6191f , 0.2481f  , 32.9779f , -37.6421f,
+   3.2700f   , -51.6191f
+};
+
+const float32_t filtering_coeffs_b_f32[FILTERING_MAX_NUMSTAGES * 6 + 2] =
+{
+	-0.0572f, 0.0f    , -0.4724f, 0.4111f , -0.9999f, -0.7577f, 0.2630f ,
+   -0.0509f, -1.0000f, 0.5207f , -0.6697f, -0.7453f, -0.6540f, 0.3119f ,
+   0.4595f , -0.7225f, -0.1313f, -0.5974f, 0.2700f , -0.6191f, -0.4314f,
+   0.2481f , 0.9779f , -0.6421f, 0.4469f , -0.0023f, 0.3657f , 0.9140f ,
+   0.2870f , -0.0499f, 0.3333f , -0.1396f, -0.7555f, 0.5377f , 0.3491f ,
+   0.2369f , -0.5310f, -0.5904f, 0.6263f , 0.0205f , 0.1088f , -0.2926f,
+   -0.4187f, -0.5094f, 0.4479f , -0.3594f, -0.3102f, 0.6748f , 0.7620f ,
+   0.0033f , -0.9195f, 0.3192f , -0.1705f, 0.5524f , -0.5025f, 0.4898f ,
+   -0.0119f, -0.3982f, -0.7818f, -0.9186f, -0.0944f, 0.7228f , 0.7014f ,
+   0.4850f , -0.6814f, 0.4914f , -0.6286f, 0.5130f , -0.8585f, 0.3000f ,
+   0.6068f , 0.4978f , -0.7225f, -0.1313f, -0.5974f, 0.2700f , -0.6191f,
+   0.2481f , 0.9779f , -0.6421f, 0.4469f , -0.0023f, 0.3657f , 0.9140f ,
+   0.2369f , -0.5310f
+};
+
+const float64_t filtering_coeffs_b_f64[FILTERING_MAX_NUMSTAGES * 6 + 2] =
+{
+	-0.0572f, 0.0f    , -0.4724f, 0.4111f , -0.9999f, -0.7577f, 0.2630f ,
+   -0.0509f, -1.0000f, 0.5207f , -0.6697f, -0.7453f, -0.6540f, 0.3119f ,
+   0.4595f , -0.7225f, -0.1313f, -0.5974f, 0.2700f , -0.6191f, -0.4314f,
+   0.2481f , 0.9779f , -0.6421f, 0.4469f , -0.0023f, 0.3657f , 0.9140f ,
+   0.2870f , -0.0499f, 0.3333f , -0.1396f, -0.7555f, 0.5377f , 0.3491f ,
+   0.2369f , -0.5310f, -0.5904f, 0.6263f , 0.0205f , 0.1088f , -0.2926f,
+   -0.4187f, -0.5094f, 0.4479f , -0.3594f, -0.3102f, 0.6748f , 0.7620f ,
+   0.0033f , -0.9195f, 0.3192f , -0.1705f, 0.5524f , -0.5025f, 0.4898f ,
+   -0.0119f, -0.3982f, -0.7818f, -0.9186f, -0.0944f, 0.7228f , 0.7014f ,
+   0.4850f , -0.6814f, 0.4914f , -0.6286f, 0.5130f , -0.8585f, 0.3000f ,
+   0.6068f , 0.4978f , -0.7225f, -0.1313f, -0.5974f, 0.2700f , -0.6191f,
+   0.2481f , 0.9779f , -0.6421f, 0.4469f , -0.0023f, 0.3657f , 0.9140f ,
+   0.2369f , -0.5310f
+};
+
+const float32_t *filtering_coeffs_c_f32 = filtering_coeffs_b_f32 + 1;
+
+const q31_t filtering_coeffs_q31[FILTERING_MAX_NUMSTAGES * 6 + 2] =
+{
+	0xEEDA759C, 0x00000000, 0x80000000, 0x0B0BA027, 0xF6850544, 0xB967E3EC,
+	0x1D3C4F64, 0xFFFFFFFF, 0xDDF65B14, 0x22D3A62D, 0xEF5CBB89, 0x98979EE0,
+	0xFF242597, 0x0068D9E9, 0x11ACC4F3, 0xF72C0F21, 0xFA9326BC, 0xCD506BD5,
+	0x044B50CD, 0xBC36D4BC, 0xE28B1589, 0x0053690B, 0x2B4E6639, 0xCE919690,
+	0x0727234D, 0xF6CDFB14, 0x1FFF2FCF, 0x0D04DC35, 0x00607E4D, 0xEEDCF04A,
+	0x268530EF, 0xBA37B050, 0x7FFFFFFF, 0xEF5CBB89, 0x00000000, 0x2B4E6639,
+	0xFF242597, 0x0068D9E9, 0x11ACC4F3, 0xF72C0F21, 0xFA9326BC, 0xCD506BD5,
+	0x1D3C4F64, 0xFFFFFFFF, 0xDDF65B14, 0x22D3A62D, 0xEF5CBB89, 0x98979EE0,
+	0x044B50CD, 0xBC36D4BC, 0xE28B1589, 0x0053690B, 0x2B4E6639, 0xCE919690,
+	0x0727234D, 0xF6CDFB14, 0x1FFF2FCF, 0x0D04DC35, 0x00607E4D, 0xEEDCF04A,
+   0xE28B1589, 0x0053690B, 0x044B50CD, 0xBC36D4BC, 0xE28B1589, 0xB967E3EC,
+	0x044B50CD, 0xBC36D4BC, 0xE28B1589, 0x0053690B, 0x2B4E6639, 0xCE919690,
+   0x1FFF2FCF, 0x0D04DC35, 0x00607E4D, 0xEEDCF04A, 0xFFFFFFFF, 0xDDF65B14,
+	0xFF242597, 0x0068D9E9, 0x11ACC4F3, 0xF72C0F21, 0xFA9326BC, 0xCD506BD5,
+   0x2B4E6639, 0xCE919690
+};
+
+const q31_t *filtering_coeffs_b_q31 = filtering_coeffs_q31 + 1;
+const q31_t *filtering_coeffs_c_q31 = filtering_coeffs_q31 + 2;
+
+//fourth coefficient MUST be zero for arm_biquad_cascade_df1_fast_q15 to work
+//every 6th coefficient after that must also be zero
+const q15_t filtering_coeffs_q15[FILTERING_MAX_NUMSTAGES * 6 + 4] =
+{
+	0xBA37, 0xEEDA, 0x8000, 0x0000, 0x0B0B, 0xF685, 0xB967,
+	0x1D3C, 0xFFFF, 0x0000, 0x22D3, 0xEF5C, 0x9897,
+	0xFF24, 0x0068, 0x0000, 0xF72C, 0xFA93, 0xCD50,
+	0x044B, 0xBC36, 0x0000, 0x0053, 0x2B4E, 0xCE91,
+	0x0727, 0xF6CD, 0x0000, 0x0D04, 0x0060, 0xEEDC,
+	0x2685, 0xBA37, 0x0000, 0xDDF6, 0x0000, 0x2B4E,
+	0xFF24, 0x0068, 0x0000, 0xF72C, 0xFA93, 0xCD50,
+	0x1D3C, 0xFFFF, 0x0000, 0x22D3, 0xEF5C, 0x9897,
+	0x044B, 0xBC36, 0x0000, 0x0053, 0x2B4E, 0xCE91,
+	0x0727, 0xF6CD, 0x0000, 0x0D04, 0x0060, 0xEEDC,
+   0xE28B, 0x0053, 0x0000, 0xBC36, 0xE28B, 0xB967,
+	0x044B, 0xBC36, 0x0000, 0x0053, 0x2B4E, 0xCE91,
+	0x044B, 0xBC36, 0x0000, 0x0053, 0x2B4E, 0xCE91,
+	0x0727, 0xF6CD, 0x0000, 0x0D04, 0x0060, 0xEEDC,
+   0xE28B, 0x11AC, 0x0000,
+};
+
+const q15_t *filtering_coeffs_b_q15 = filtering_coeffs_q15 + 2;
+const q15_t *filtering_coeffs_c_q15 = filtering_coeffs_q15 + 4;
+
+const q7_t filtering_coeffs_q7[FILTERING_MAX_NUMSTAGES * 6 + 8] =
+{
+	0xEE, 0x00, 0x80, 0x0B, 0xF6, 0xB9,
+	0x1D, 0xFF, 0xDD, 0x22, 0xEF, 0x98,
+	0xFF, 0x00, 0x11, 0xF7, 0xFA, 0xCD,
+	0x04, 0xBC, 0xE2, 0x00, 0x2B, 0xCE,
+	0x07, 0xF6, 0x1F, 0x0D, 0x00, 0xEE,
+	0x26, 0xBA, 0x7F, 0x00, 0x80, 0x2B,
+	0xFF, 0x00, 0x11, 0xF7, 0xFA, 0xCD,
+	0x1D, 0xFF, 0xDD, 0x22, 0xEF, 0x98,
+	0x04, 0xBC, 0xE2, 0x00, 0x2B, 0xCE,
+	0x07, 0xF6, 0x1F, 0x0D, 0x00, 0xEE,
+   0xE2, 0x00, 0x04, 0xBC, 0xE2, 0xB9,
+	0x04, 0xBC, 0xE2, 0x00, 0x2B, 0xCE,
+	0x07, 0xF6, 0x1F, 0x0D, 0x00, 0xEE,
+	0x26, 0xBA, 0x7F, 0x00, 0x80, 0x2B,
+	0x07, 0xF6, 0x1F, 0x0D, 0x00, 0xEE,
+   0xFA, 0xCD
+};
+
+const q7_t *filtering_coeffs_b_q7 = filtering_coeffs_q7 + 4;
+const q7_t *filtering_coeffs_c_q7 = filtering_coeffs_q7 + 8;
+
+/*--------------------------------------------------------------------------------*/
+/* Tap Delay Lists */
+/*--------------------------------------------------------------------------------*/
+//const int32_t filtering_tap_delay[FILTERING_MAX_NUMTAPS] = {
+//	0xEE, 0x00, 0x10, 0x0B, 0xF6, 0xD9,
+//	0x1D, 0xFF, 0xDD, 0x1A, 0xEF, 0xE8,
+//	0xFF, 0x00, 0x11, 0xF7, 0xFA, 0xDD,
+//	0x04, 0xEC, 0xE2, 0x00, 0x2B, 0xFE,
+//	0x07, 0xF6, 0x1F, 0x0D, 0x00, 0xEE,
+//	0x20, 0xDF, 0x21
+//};
+
+const int32_t filtering_tap_delay[FILTERING_MAX_NUMTAPS] = {
+	0x00, 0x01, 0x10, 0x0B, 0x03, 0x05,
+	0x1D, 0x21, 0x11, 0x1A, 0x1F, 0x07,
+	0x20, 0x01, 0x10, 0x0B, 0x03, 0x05,
+	0x1D, 0x21, 0x11, 0x1A, 0x1F, 0x07,
+	0x00, 0x01, 0x10, 0x0B, 0x03, 0x05,
+	0x1D, 0x21, 0x11
+};
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/filtering_test_group.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/filtering_test_group.c
new file mode 100644
index 0000000..fb59448
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/filtering_test_group.c
@@ -0,0 +1,17 @@
+#include "jtest.h"
+#include "filtering_tests.h"
+
+JTEST_DEFINE_GROUP(filtering_tests)
+{
+  /*
+    To skip a test, comment it out.
+  */
+  JTEST_GROUP_CALL(biquad_tests);
+  JTEST_GROUP_CALL(conv_tests);
+  JTEST_GROUP_CALL(correlate_tests);
+  JTEST_GROUP_CALL(fir_tests);
+  JTEST_GROUP_CALL(iir_tests);
+  JTEST_GROUP_CALL(lms_tests);
+
+  return;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/fir_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/fir_tests.c
new file mode 100644
index 0000000..40e52b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/fir_tests.c
@@ -0,0 +1,402 @@
+#include "jtest.h"
+#include "filtering_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "filtering_templates.h"
+#include "type_abbrev.h"
+
+#define FIR_DEFINE_TEST(suffix, config_suffix, output_type)             \
+   JTEST_DEFINE_TEST(arm_fir##config_suffix##_##suffix##_test,          \
+         arm_fir##config_suffix##_##suffix)                             \
+   {                                                                    \
+      arm_fir_instance_##suffix fir_inst_fut = { 0 };                   \
+      arm_fir_instance_##suffix fir_inst_ref = { 0 };                   \
+                                                                        \
+      TEMPLATE_DO_ARR_DESC(                                             \
+            blocksize_idx, uint32_t, blockSize, filtering_blocksizes    \
+            ,                                                           \
+         TEMPLATE_DO_ARR_DESC(                                          \
+               numtaps_idx, uint16_t, numTaps, filtering_numtaps        \
+               ,                                                        \
+               /* Initialize the FIR Instances */                       \
+               arm_fir_init_##suffix(                                   \
+                     &fir_inst_fut, numTaps,                            \
+                     (output_type*)filtering_coeffs_##suffix,           \
+                     (void *) filtering_pState, blockSize);             \
+                                                                        \
+              /* Display test parameter values */                       \
+              JTEST_DUMP_STRF("Block Size: %d\n"                        \
+                              "Number of Taps: %d\n",                   \
+                         (int)blockSize,                                \
+                         (int)numTaps);                                 \
+                                                                        \
+               JTEST_COUNT_CYCLES(                                      \
+                     arm_fir##config_suffix##_##suffix(                 \
+                           &fir_inst_fut,                               \
+                           (void *) filtering_##suffix##_inputs,        \
+                           (void *) filtering_output_fut,               \
+                           blockSize));                                 \
+                                                                        \
+               arm_fir_init_##suffix(                                   \
+                     &fir_inst_ref, numTaps,                            \
+                     (output_type*)filtering_coeffs_##suffix,           \
+                     (void *) filtering_pState, blockSize);             \
+                                                                        \
+               ref_fir##config_suffix##_##suffix(                       \
+                     &fir_inst_ref,                                     \
+                     (void *) filtering_##suffix##_inputs,              \
+                     (void *) filtering_output_ref,                     \
+                     blockSize);                                        \
+                                                                        \
+               FILTERING_SNR_COMPARE_INTERFACE(                         \
+                     blockSize,                                         \
+                     output_type)));                                    \
+                                                                        \
+            return JTEST_TEST_PASSED;                                   \
+   }
+
+#define FIR_INTERPOLATE_DEFINE_TEST(suffix, output_type)                      \
+   JTEST_DEFINE_TEST(arm_fir_interpolate_##suffix##_test,                     \
+         arm_fir_interpolate_##suffix)                                        \
+   {                                                                          \
+      arm_fir_interpolate_instance_##suffix fir_inst_fut = { 0 };             \
+      arm_fir_interpolate_instance_##suffix fir_inst_ref = { 0 };             \
+                                                                              \
+      TEMPLATE_DO_ARR_DESC(                                                   \
+            blocksize_idx, uint32_t, blockSize, filtering_blocksizes          \
+            ,                                                                 \
+         TEMPLATE_DO_ARR_DESC(                                                \
+               numtaps_idx, uint16_t, numTaps, filtering_numtaps2             \
+               ,                                                              \
+            TEMPLATE_DO_ARR_DESC(                                             \
+                  L_idx, uint8_t, L, filtering_Ls                             \
+                  ,                                                           \
+                  /* Display test parameter values */                         \
+                  JTEST_DUMP_STRF("Block Size: %d\n"                          \
+                                 "Number of Taps: %d\n"                       \
+                                 "Upsample factor: %d\n",                     \
+                                (int)blockSize,                               \
+                                (int)numTaps,                                 \
+                                (int)L);                                      \
+                                                                              \
+                  /* Initialize the FIR Instances */                          \
+                  arm_fir_interpolate_init_##suffix(                          \
+                        &fir_inst_fut, L, numTaps,                            \
+                        (output_type*)filtering_coeffs_##suffix,              \
+                        (void *) filtering_pState, blockSize);                \
+                                                                              \
+                  JTEST_COUNT_CYCLES(                                         \
+                        arm_fir_interpolate_##suffix(                         \
+                              &fir_inst_fut,                                  \
+                              (void *) filtering_##suffix##_inputs,           \
+                              (void *) filtering_output_fut,                  \
+                              blockSize));                                    \
+                                                                              \
+                  arm_fir_interpolate_init_##suffix(                          \
+                        &fir_inst_ref, L, numTaps,                            \
+                        (output_type*)filtering_coeffs_##suffix,              \
+                        (void *) filtering_pState, blockSize);                \
+                                                                              \
+                  ref_fir_interpolate_##suffix(                               \
+                        &fir_inst_ref,                                        \
+                        (void *) filtering_##suffix##_inputs,                 \
+                        (void *) filtering_output_ref,                        \
+                        blockSize);                                           \
+                                                                              \
+                  FILTERING_SNR_COMPARE_INTERFACE(                            \
+                        blockSize * (uint32_t)L,                              \
+                        output_type))));                                      \
+                                                                              \
+            return JTEST_TEST_PASSED;                                         \
+   }
+
+#define FIR_DECIMATE_DEFINE_TEST(suffix, config_suffix, output_type)       \
+   JTEST_DEFINE_TEST(arm_fir_decimate##config_suffix##_##suffix##_test,    \
+         arm_fir_decimate##config_suffix##_##suffix)                       \
+   {                                                                       \
+      arm_fir_decimate_instance_##suffix fir_inst_fut = { 0 };             \
+      arm_fir_decimate_instance_##suffix fir_inst_ref = { 0 };             \
+                                                                           \
+      TEMPLATE_DO_ARR_DESC(                                                \
+            blocksize_idx, uint32_t, blockSize, filtering_blocksizes       \
+            ,                                                              \
+         TEMPLATE_DO_ARR_DESC(                                             \
+               numtaps_idx, uint16_t, numTaps, filtering_numtaps           \
+               ,                                                           \
+            TEMPLATE_DO_ARR_DESC(                                          \
+                  M_idx, uint8_t, M, filtering_Ms                          \
+                  ,                                                        \
+                  if (blockSize % M == 0)                                   \
+                  {                                                        \
+                     /* Display test parameter values */                   \
+                     JTEST_DUMP_STRF("Block Size: %d\n"                    \
+                                     "Number of Taps: %d\n"                \
+                                     "Decimation Factor: %d\n",            \
+                                     (int)blockSize,                       \
+                                     (int)numTaps,                         \
+                                     (int)M);                              \
+                                                                           \
+                     /* Initialize the FIR Instances */                    \
+                     arm_fir_decimate_init_##suffix(                       \
+                           &fir_inst_fut, numTaps, M,                      \
+                           (output_type*)filtering_coeffs_##suffix,        \
+                           (void *) filtering_pState, blockSize);          \
+                                                                           \
+                     JTEST_COUNT_CYCLES(                                   \
+                           arm_fir_decimate##config_suffix##_##suffix(     \
+                                 &fir_inst_fut,                            \
+                                 (void *) filtering_##suffix##_inputs,     \
+                                 (void *) filtering_output_fut,            \
+                                 blockSize));                              \
+                                                                           \
+                     arm_fir_decimate_init_##suffix(                       \
+                           &fir_inst_ref, numTaps, M,                      \
+                           (output_type*)filtering_coeffs_##suffix,        \
+                           (void *) filtering_pState, blockSize);          \
+                                                                           \
+                     ref_fir_decimate##config_suffix##_##suffix(           \
+                           &fir_inst_ref,                                  \
+                           (void *) filtering_##suffix##_inputs,           \
+                           (void *) filtering_output_ref,                  \
+                           blockSize);                                     \
+                                                                           \
+                     FILTERING_SNR_COMPARE_INTERFACE(                      \
+                           blockSize / M,                                  \
+                           output_type);                                   \
+                  })));                                                    \
+                                                                           \
+            return JTEST_TEST_PASSED;                                      \
+   }
+
+#define FIR_LATTICE_DEFINE_TEST(suffix, output_type)                       \
+   JTEST_DEFINE_TEST(arm_fir_lattice_##suffix##_test,                      \
+         arm_fir_lattice_##suffix)                                         \
+   {                                                                       \
+      arm_fir_lattice_instance_##suffix fir_inst_fut = { 0 };              \
+      arm_fir_lattice_instance_##suffix fir_inst_ref = { 0 };              \
+                                                                           \
+      TEMPLATE_DO_ARR_DESC(                                                \
+            blocksize_idx, uint32_t, blockSize, filtering_blocksizes       \
+            ,                                                              \
+         TEMPLATE_DO_ARR_DESC(                                             \
+               numstages_idx, uint16_t, numStages, filtering_numstages     \
+               ,                                                           \
+               /* Display test parameter values */                         \
+               JTEST_DUMP_STRF("Block Size: %d\n"                          \
+                               "Number of Stages: %d\n",                   \
+                               (int)blockSize,                             \
+                               (int)numStages);                            \
+                                                                           \
+               /* Initialize the FIR Instances */                          \
+               arm_fir_lattice_init_##suffix(                              \
+                     &fir_inst_fut, numStages,                             \
+                     (output_type*)filtering_coeffs_##suffix,              \
+                     (void *) filtering_pState);                           \
+                                                                           \
+               JTEST_COUNT_CYCLES(                                         \
+                     arm_fir_lattice_##suffix(                             \
+                           &fir_inst_fut,                                  \
+                           (void *) filtering_##suffix##_inputs,           \
+                           (void *) filtering_output_fut,                  \
+                           blockSize));                                    \
+                                                                           \
+               arm_fir_lattice_init_##suffix(                              \
+                     &fir_inst_ref, numStages,                             \
+                     (output_type*)filtering_coeffs_##suffix,              \
+                     (void *) filtering_pState);                           \
+                                                                           \
+               ref_fir_lattice_##suffix(                                   \
+                     &fir_inst_ref,                                        \
+                     (void *) filtering_##suffix##_inputs,                 \
+                     (void *) filtering_output_ref,                        \
+                     blockSize);                                           \
+                                                                           \
+               FILTERING_SNR_COMPARE_INTERFACE(                            \
+                     blockSize,                                            \
+                     output_type)));                                       \
+                                                                           \
+            return JTEST_TEST_PASSED;                                      \
+   }
+
+
+#define FIR_SPARSE_DEFINE_TEST(suffix, output_type)                     \
+   JTEST_DEFINE_TEST(arm_fir_sparse_##suffix##_test,                    \
+         arm_fir_sparse_##suffix)                                       \
+   {                                                                    \
+      arm_fir_sparse_instance_##suffix fir_inst_fut = { 0 };            \
+      arm_fir_sparse_instance_##suffix fir_inst_ref = { 0 };            \
+                                                                        \
+      TEMPLATE_DO_ARR_DESC(                                             \
+            blocksize_idx, uint32_t, blockSize, filtering_blocksizes    \
+            ,                                                           \
+         TEMPLATE_DO_ARR_DESC(                                          \
+               numtaps_idx, uint16_t, numTaps, filtering_numtaps        \
+               ,                                                        \
+               /* Display test parameter values */                      \
+               JTEST_DUMP_STRF("Block Size: %d\n"                       \
+                               "Number of Taps: %d\n"                   \
+                               "Tap Delay: %d\n",                       \
+                               (int)blockSize,                          \
+                               (int)numTaps,                            \
+                               (int)FILTERING_MAX_TAP_DELAY);           \
+                                                                        \
+               /* Initialize the FIR Instances */                       \
+               arm_fir_sparse_init_##suffix(                            \
+                     &fir_inst_fut, numTaps,                            \
+                     (output_type*)filtering_coeffs_##suffix,           \
+                     (void *) filtering_pState,                         \
+                     (int32_t*)filtering_tap_delay,                     \
+                     FILTERING_MAX_TAP_DELAY, blockSize);               \
+                                                                        \
+               JTEST_COUNT_CYCLES(                                      \
+                     arm_fir_sparse_##suffix(                           \
+                           &fir_inst_fut,                               \
+                           (void *) filtering_##suffix##_inputs,        \
+                           (void *) filtering_output_fut,               \
+                           (void *) filtering_scratch,                  \
+                           blockSize));                                 \
+                                                                        \
+               arm_fir_sparse_init_##suffix(                            \
+                     &fir_inst_ref, numTaps,                            \
+                     (output_type*)filtering_coeffs_##suffix,           \
+                     (void *) filtering_pState,                         \
+                     (int32_t*)filtering_tap_delay,                     \
+                     FILTERING_MAX_TAP_DELAY, blockSize);               \
+                                                                        \
+               ref_fir_sparse_##suffix(                                 \
+                     &fir_inst_ref,                                     \
+                     (void *) filtering_##suffix##_inputs,              \
+                     (void *) filtering_output_ref,                     \
+                     (void *) filtering_scratch,                        \
+                     blockSize);                                        \
+                                                                        \
+               FILTERING_SNR_COMPARE_INTERFACE(                         \
+                     blockSize,                                         \
+                     output_type)));                                    \
+                                                                        \
+            return JTEST_TEST_PASSED;                                   \
+   }
+
+#define FIR_SPARSE2_DEFINE_TEST(suffix, output_type)                    \
+   JTEST_DEFINE_TEST(arm_fir_sparse_##suffix##_test,                    \
+         arm_fir_sparse_##suffix)                                       \
+   {                                                                    \
+      arm_fir_sparse_instance_##suffix fir_inst_fut = { 0 };            \
+      arm_fir_sparse_instance_##suffix fir_inst_ref = { 0 };            \
+                                                                        \
+      TEMPLATE_DO_ARR_DESC(                                             \
+            blocksize_idx, uint32_t, blockSize, filtering_blocksizes    \
+            ,                                                           \
+         TEMPLATE_DO_ARR_DESC(                                          \
+               numtaps_idx, uint16_t, numTaps, filtering_numtaps        \
+               ,                                                        \
+              /* Display test parameter values */                       \
+              JTEST_DUMP_STRF("Block Size: %d\n"                        \
+                              "Number of Taps: %d\n"                    \
+                              "Tap Delay: %d\n",                        \
+                              (int)blockSize,                           \
+                              (int)numTaps,                             \
+                              (int)FILTERING_MAX_TAP_DELAY);            \
+                                                                        \
+               /* Initialize the FIR Instances */                       \
+               arm_fir_sparse_init_##suffix(                            \
+                     &fir_inst_fut, numTaps,                            \
+                     (output_type*)filtering_coeffs_##suffix,           \
+                     (void *) filtering_pState,                         \
+                     (int32_t*)filtering_tap_delay,                     \
+                     FILTERING_MAX_TAP_DELAY, blockSize);               \
+                                                                        \
+               JTEST_COUNT_CYCLES(                                      \
+                     arm_fir_sparse_##suffix(                           \
+                           &fir_inst_fut,                               \
+                           (void *) filtering_##suffix##_inputs,        \
+                           (void *) filtering_output_fut,               \
+                           (void *) filtering_scratch,                  \
+                           (void *) filtering_scratch2,                 \
+                           blockSize));                                 \
+                                                                        \
+               arm_fir_sparse_init_##suffix(                            \
+                     &fir_inst_ref, numTaps,                            \
+                     (output_type*)filtering_coeffs_##suffix,           \
+                     (void *) filtering_pState,                         \
+                     (int32_t*)filtering_tap_delay,                     \
+                     FILTERING_MAX_TAP_DELAY, blockSize);               \
+                                                                        \
+               ref_fir_sparse_##suffix(                                 \
+                     &fir_inst_ref,                                     \
+                     (void *) filtering_##suffix##_inputs,              \
+                     (void *) filtering_output_ref,                     \
+                     (void *) filtering_scratch,                        \
+                     (void *) filtering_scratch2,                       \
+                     blockSize);                                        \
+                                                                        \
+               FILTERING_SNR_COMPARE_INTERFACE(                         \
+                     blockSize,                                         \
+                     output_type)));                                    \
+                                                                        \
+            return JTEST_TEST_PASSED;                                   \
+   }
+
+FIR_DEFINE_TEST(f32,,float32_t);
+FIR_DEFINE_TEST(q31,,q31_t);
+FIR_DEFINE_TEST(q15,,q15_t);
+FIR_DEFINE_TEST(q31,_fast,q31_t);
+FIR_DEFINE_TEST(q15,_fast,q15_t);
+FIR_DEFINE_TEST(q7,,q7_t);
+
+FIR_LATTICE_DEFINE_TEST(f32,float32_t);
+FIR_LATTICE_DEFINE_TEST(q31,q31_t);
+FIR_LATTICE_DEFINE_TEST(q15,q15_t);
+
+FIR_INTERPOLATE_DEFINE_TEST(f32,float32_t);
+FIR_INTERPOLATE_DEFINE_TEST(q31,q31_t);
+FIR_INTERPOLATE_DEFINE_TEST(q15,q15_t);
+
+FIR_DECIMATE_DEFINE_TEST(f32,,float32_t);
+FIR_DECIMATE_DEFINE_TEST(q31,,q31_t);
+FIR_DECIMATE_DEFINE_TEST(q15,,q15_t);
+FIR_DECIMATE_DEFINE_TEST(q31,_fast,q31_t);
+FIR_DECIMATE_DEFINE_TEST(q15,_fast,q15_t);
+
+FIR_SPARSE_DEFINE_TEST(f32,float32_t);
+FIR_SPARSE_DEFINE_TEST(q31,q31_t);
+FIR_SPARSE2_DEFINE_TEST(q15,q15_t);
+FIR_SPARSE2_DEFINE_TEST(q7,q7_t);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(fir_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+   JTEST_TEST_CALL(arm_fir_f32_test);
+   JTEST_TEST_CALL(arm_fir_q31_test);
+   JTEST_TEST_CALL(arm_fir_q15_test);
+   JTEST_TEST_CALL(arm_fir_q7_test);
+   JTEST_TEST_CALL(arm_fir_fast_q31_test);
+   JTEST_TEST_CALL(arm_fir_fast_q15_test);
+
+   JTEST_TEST_CALL(arm_fir_lattice_f32_test);
+   JTEST_TEST_CALL(arm_fir_lattice_q31_test);
+   JTEST_TEST_CALL(arm_fir_lattice_q15_test);
+
+   JTEST_TEST_CALL(arm_fir_interpolate_f32_test);
+   JTEST_TEST_CALL(arm_fir_interpolate_q31_test);
+   JTEST_TEST_CALL(arm_fir_interpolate_q15_test);
+
+   JTEST_TEST_CALL(arm_fir_decimate_f32_test);
+   JTEST_TEST_CALL(arm_fir_decimate_q31_test);
+   JTEST_TEST_CALL(arm_fir_decimate_q15_test);
+   JTEST_TEST_CALL(arm_fir_decimate_fast_q31_test);
+   JTEST_TEST_CALL(arm_fir_decimate_fast_q15_test);
+
+   JTEST_TEST_CALL(arm_fir_sparse_f32_test);
+   JTEST_TEST_CALL(arm_fir_sparse_q31_test);
+   JTEST_TEST_CALL(arm_fir_sparse_q15_test);
+   JTEST_TEST_CALL(arm_fir_sparse_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/iir_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/iir_tests.c
new file mode 100644
index 0000000..8d31c3f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/iir_tests.c
@@ -0,0 +1,76 @@
+#include "jtest.h"
+#include "filtering_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "filtering_templates.h"
+#include "type_abbrev.h"
+
+#define IIR_DEFINE_TEST(suffix, output_type)                                              \
+   JTEST_DEFINE_TEST(arm_iir_lattice_##suffix##_test,                                     \
+         arm_iir_lattice_##suffix)                                                        \
+   {                                                                                      \
+      arm_iir_lattice_instance_##suffix iir_inst_fut = { 0 };                             \
+      arm_iir_lattice_instance_##suffix iir_inst_ref = { 0 };                             \
+                                                                                          \
+      TEMPLATE_DO_ARR_DESC(                                                               \
+            blocksize_idx, uint32_t, blockSize, filtering_blocksizes                      \
+            ,                                                                             \
+         TEMPLATE_DO_ARR_DESC(                                                            \
+               numstages_idx, uint16_t, numStages, filtering_numstages                    \
+               ,                                                                          \
+              /* Display test parameter values */                                         \
+              JTEST_DUMP_STRF("Block Size: %d\n"                                          \
+                              "Number of Stages: %d\n",                                   \
+                              (int)blockSize,                                             \
+                              (int)numStages);                                            \
+                                                                                          \
+               /* Initialize the IIR Instances */                                         \
+               arm_iir_lattice_init_##suffix(                                             \
+                     &iir_inst_fut, numStages, (output_type*)filtering_coeffs_b_##suffix, \
+                     (output_type*)filtering_coeffs_c_##suffix,                           \
+                     (void *) filtering_pState, blockSize);                               \
+                                                                                          \
+               JTEST_COUNT_CYCLES(                                                        \
+                     arm_iir_lattice_##suffix(                                            \
+                           &iir_inst_fut,                                                 \
+                           (void *) filtering_##suffix##_inputs,                          \
+                           (void *) filtering_output_fut,                                 \
+                           blockSize));                                                   \
+                                                                                          \
+               arm_iir_lattice_init_##suffix(                                             \
+                     &iir_inst_ref, numStages, (output_type*)filtering_coeffs_b_##suffix, \
+                     (output_type*)filtering_coeffs_c_##suffix,                           \
+                     (void *) filtering_pState, blockSize);                               \
+                                                                                          \
+               ref_iir_lattice_##suffix(                                                  \
+                     &iir_inst_ref,                                                       \
+                     (void *) filtering_##suffix##_inputs,                                \
+                     (void *) filtering_output_ref,                                       \
+                     blockSize);                                                          \
+                                                                                          \
+               FILTERING_SNR_COMPARE_INTERFACE(                                           \
+                     blockSize,                                                           \
+                     output_type)));                                                      \
+                                                                                          \
+            return JTEST_TEST_PASSED;                                                     \
+   }
+
+IIR_DEFINE_TEST(f32, float32_t);
+IIR_DEFINE_TEST(q31, q31_t);
+IIR_DEFINE_TEST(q15, q15_t);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(iir_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+   JTEST_TEST_CALL(arm_iir_lattice_f32_test);
+   JTEST_TEST_CALL(arm_iir_lattice_q31_test);
+   JTEST_TEST_CALL(arm_iir_lattice_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/lms_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/lms_tests.c
new file mode 100644
index 0000000..06e96b6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/filtering_tests/lms_tests.c
@@ -0,0 +1,219 @@
+#include "jtest.h"
+#include "filtering_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "filtering_templates.h"
+#include "type_abbrev.h"
+
+static const float32_t mu_f32 = 0.00854f;//1.0f;
+static const float32_t mu2_f32 = 1.0f;
+static const q31_t mu_q31 = 0x7fffffff;
+static const q15_t mu_q15 = 0x7fff;
+
+#define LMS_DEFINE_TEST(suffix, config_suffix, output_type, mu)                        \
+   JTEST_DEFINE_TEST(arm_lms##config_suffix##_##suffix##_test,                         \
+         arm_lms##config_suffix##_##suffix)                                            \
+   {                                                                                   \
+      arm_lms##config_suffix##_instance_##suffix lms_inst_fut = { 0 };                 \
+      arm_lms##config_suffix##_instance_##suffix lms_inst_ref = { 0 };                 \
+      arm_fir_instance_##suffix fir_inst = { 0 };                                      \
+      uint32_t i;                                                                      \
+                                                                                       \
+      TEMPLATE_DO_ARR_DESC(                                                            \
+            blocksize_idx, uint32_t, blockSize, lms_blocksizes                         \
+            ,                                                                          \
+         TEMPLATE_DO_ARR_DESC(                                                         \
+               numtaps_idx, uint16_t, numTaps, filtering_numtaps                       \
+               ,                                                                       \
+               /* Initialize the FIR Instances */                                      \
+               arm_fir_init_##suffix(                                                  \
+                     &fir_inst, numTaps,                                               \
+                     (output_type*)filtering_coeffs_##suffix,                          \
+                     (void *) filtering_pState, blockSize);                            \
+                                                                                       \
+               ref_fir_##suffix(                                                       \
+                     &fir_inst,                                                        \
+                     (void *) filtering_##suffix##_inputs,                             \
+                     (void *) filtering_input_lms,                                     \
+                     blockSize);                                                       \
+                                                                                       \
+               for(i=0;i<numTaps;i++)                                                  \
+               {                                                                       \
+                  *((output_type*)filtering_coeffs_lms + i) = (output_type)0;          \
+               }                                                                       \
+                                                                                       \
+               for(i=0;i<blockSize;i++)                                                \
+               {                                                                       \
+                  /* scaled down so that lms will converge           */                \
+                  /* scaled down by almost the max of the abs(input) */                \
+                  *((output_type*)filtering_input_lms + i) =                           \
+                        *((output_type*)filtering_input_lms + i) / 200.0f;             \
+                                                                                       \
+                  *((output_type*)filtering_output_f32_fut + i) =                      \
+                        *((output_type*)filtering_##suffix##_inputs + i) / 200.0f;     \
+               }                                                                       \
+                                                                                       \
+               /* Display test parameter values */                                     \
+               JTEST_DUMP_STRF("Block Size: %d\n"                                      \
+                               "Number of Taps: %d\n",                                 \
+                               (int)blockSize,                                         \
+                               (int)numTaps);                                          \
+                                                                                       \
+               /* Initialize the LMS Instances */                                      \
+               arm_lms##config_suffix##_init_##suffix(                                 \
+                     &lms_inst_fut, numTaps,                                           \
+                     (output_type*)filtering_coeffs_lms,                               \
+                     (void *) filtering_pState, mu, blockSize);                        \
+                                                                                       \
+               JTEST_COUNT_CYCLES(                                                     \
+                     arm_lms##config_suffix##_##suffix(                                \
+                           &lms_inst_fut,                                              \
+                           (void *) filtering_output_f32_fut,                          \
+                           (void *) filtering_input_lms,                               \
+                           (void *) filtering_output_fut,                              \
+                           (void *) ((output_type*)filtering_output_fut+blockSize),    \
+                           blockSize));                                                \
+                                                                                       \
+               for(i=0;i<numTaps;i++)                                                  \
+               {                                                                       \
+                  *((output_type*)filtering_coeffs_lms + i) = (output_type)0;          \
+               }                                                                       \
+                                                                                       \
+               arm_lms##config_suffix##_init_##suffix(                                 \
+                     &lms_inst_ref, numTaps,                                           \
+                     (output_type*)filtering_coeffs_lms,                               \
+                     (void *) filtering_pState, mu, blockSize);                        \
+                                                                                       \
+               ref_lms##config_suffix##_##suffix(                                      \
+                     &lms_inst_ref,                                                    \
+                     (void *) filtering_output_f32_fut,                                \
+                     (void *) filtering_input_lms,                                     \
+                     (void *) filtering_output_ref,                                    \
+                     (void *) ((output_type*)filtering_output_fut+blockSize),          \
+                     blockSize);                                                       \
+                                                                                       \
+               FILTERING_SNR_COMPARE_INTERFACE(                                        \
+                     blockSize,                                                        \
+                     output_type)));                                                   \
+                                                                                       \
+            return JTEST_TEST_PASSED;                                                  \
+   }
+
+#define LMS_WITH_POSTSHIFT_DEFINE_TEST(suffix, config_suffix, output_type)             \
+   JTEST_DEFINE_TEST(arm_lms##config_suffix##_##suffix##_test,                         \
+         arm_lms##config_suffix##_##suffix)                                            \
+   {                                                                                   \
+      arm_lms##config_suffix##_instance_##suffix lms_inst_fut = { 0 };                 \
+      arm_lms##config_suffix##_instance_##suffix lms_inst_ref = { 0 };                 \
+      arm_fir_instance_##suffix fir_inst = { 0 };                                      \
+      uint32_t i;                                                                      \
+                                                                                       \
+      TEMPLATE_DO_ARR_DESC(                                                            \
+            blocksize_idx, uint32_t, blockSize, lms_blocksizes                         \
+            ,                                                                          \
+         TEMPLATE_DO_ARR_DESC(                                                         \
+               numtaps_idx, uint16_t, numTaps, filtering_numtaps                       \
+               ,                                                                       \
+               TEMPLATE_DO_ARR_DESC(                                                   \
+                     postshifts_idx, uint8_t, postShift, filtering_postshifts          \
+                     ,                                                                 \
+                  /* Initialize the FIR Instances */                                   \
+                  arm_fir_init_##suffix(                                               \
+                        &fir_inst, numTaps,                                            \
+                        (output_type*)filtering_coeffs_##suffix,                       \
+                        (void *) filtering_pState, blockSize);                         \
+                                                                                       \
+                  ref_fir_##suffix(                                                    \
+                        &fir_inst,                                                     \
+                        (void *) filtering_##suffix##_inputs,                          \
+                        (void *) filtering_input_lms,                                  \
+                        blockSize);                                                    \
+                                                                                       \
+                  for(i=0;i<numTaps;i++)                                               \
+                  {                                                                    \
+                     *((output_type*)filtering_coeffs_lms + i) = (output_type)0;       \
+                  }                                                                    \
+                                                                                       \
+                  for(i=0;i<blockSize;i++)                                             \
+                  {                                                                    \
+                     /* scaled down so that lms will converge */                       \
+                     /* scaled down by log2(numTaps) bits     */                       \
+                     *((output_type*)filtering_output_f32_fut + i) =                   \
+                           *((output_type*)filtering_##suffix##_inputs + i) >> 6;      \
+                  }                                                                    \
+                                                                                       \
+                  /* Display test parameter values */                                  \
+                  JTEST_DUMP_STRF("Block Size: %d\n"                                   \
+                                  "Number of Taps: %d\n"                               \
+                                  "Post Shift: %d\n",                                  \
+                                  (int)blockSize,                                      \
+                                  (int)numTaps,                                        \
+                                  (int)postShift);                                     \
+                                                                                       \
+                  /* Initialize the LMS Instances */                                   \
+                  arm_lms##config_suffix##_init_##suffix(                              \
+                        &lms_inst_fut, numTaps,                                        \
+                        (output_type*)filtering_coeffs_lms,                            \
+                        (void *) filtering_pState, mu_##suffix, blockSize, postShift); \
+                                                                                       \
+                  JTEST_COUNT_CYCLES(                                                  \
+                        arm_lms##config_suffix##_##suffix(                             \
+                              &lms_inst_fut,                                           \
+                              (void *) filtering_output_f32_fut,                       \
+                              (void *) filtering_input_lms,                            \
+                              (void *) filtering_output_fut,                           \
+                              (void *) ((output_type*)filtering_output_fut+blockSize), \
+                              blockSize));                                             \
+                                                                                       \
+                  for(i=0;i<numTaps;i++)                                               \
+                  {                                                                    \
+                     *((output_type*)filtering_coeffs_lms + i) = (output_type)0;       \
+                  }                                                                    \
+                                                                                       \
+                  arm_lms##config_suffix##_init_##suffix(                              \
+                        &lms_inst_ref, numTaps,                                        \
+                        (output_type*)filtering_coeffs_lms,                            \
+                        (void *) filtering_pState, mu_##suffix, blockSize, postShift); \
+                                                                                       \
+                  ref_lms##config_suffix##_##suffix(                                   \
+                        &lms_inst_ref,                                                 \
+                        (void *) filtering_output_f32_fut,                             \
+                        (void *) filtering_input_lms,                                  \
+                        (void *) filtering_output_ref,                                 \
+                        (void *) ((output_type*)filtering_output_ref+blockSize),       \
+                        blockSize);                                                    \
+                                                                                       \
+                  FILTERING_SNR_COMPARE_INTERFACE(                                     \
+                        blockSize,                                                     \
+                        output_type))));                                               \
+                                                                                       \
+            return JTEST_TEST_PASSED;                                                  \
+   }
+
+LMS_DEFINE_TEST(f32,,float32_t, mu_f32);
+LMS_WITH_POSTSHIFT_DEFINE_TEST(q31,,q31_t);
+LMS_WITH_POSTSHIFT_DEFINE_TEST(q15,,q15_t);
+
+LMS_DEFINE_TEST(f32,_norm,float32_t, mu2_f32);
+LMS_WITH_POSTSHIFT_DEFINE_TEST(q31,_norm,q31_t);
+LMS_WITH_POSTSHIFT_DEFINE_TEST(q15,_norm,q15_t);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(lms_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+   JTEST_TEST_CALL(arm_lms_f32_test);
+   JTEST_TEST_CALL(arm_lms_q31_test);
+   JTEST_TEST_CALL(arm_lms_q15_test);
+
+   JTEST_TEST_CALL(arm_lms_norm_f32_test);
+   JTEST_TEST_CALL(arm_lms_norm_q31_test);
+   JTEST_TEST_CALL(arm_lms_norm_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/intrinsics_tests/intrinsics_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/intrinsics_tests/intrinsics_tests.c
new file mode 100644
index 0000000..5e826e7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/intrinsics_tests/intrinsics_tests.c
@@ -0,0 +1,62 @@
+#include "jtest.h"
+#include "ref.h"
+#include "arr_desc.h"
+#include "intrinsics_templates.h"
+#include "intrinsics_test_data.h"
+#include "type_abbrev.h"
+
+INTRINSICS_TEST_TEMPLATE_ELT2(__QADD8, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__QSUB8, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__QADD16, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__SHADD16, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__QSUB16, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__SHSUB16, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__QASX, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__SHASX, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__QSAX, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__SHSAX, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__SMUSDX, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__SMUADX, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__QADD, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__QSUB, q31);
+INTRINSICS_TEST_TEMPLATE_ELT3(__SMLAD, q31);
+INTRINSICS_TEST_TEMPLATE_ELT3(__SMLADX, q31);
+INTRINSICS_TEST_TEMPLATE_ELT3(__SMLSDX, q31);
+INTRINSICS_TEST_TEMPLATE_ELT4(__SMLALD, q31, q63);
+INTRINSICS_TEST_TEMPLATE_ELT4(__SMLALDX, q31, q63);
+INTRINSICS_TEST_TEMPLATE_ELT2(__SMUAD, q31);
+INTRINSICS_TEST_TEMPLATE_ELT2(__SMUSD, q31);
+INTRINSICS_TEST_TEMPLATE_ELT1(__SXTB16, q31);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(intrinsics_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+   JTEST_TEST_CALL(__QADD8_test);
+   JTEST_TEST_CALL(__QSUB8_test);
+   JTEST_TEST_CALL(__QADD16_test);
+   JTEST_TEST_CALL(__SHADD16_test);
+   JTEST_TEST_CALL(__QSUB16_test);
+   JTEST_TEST_CALL(__SHSUB16_test);
+   JTEST_TEST_CALL(__QASX_test);
+   JTEST_TEST_CALL(__SHASX_test);
+   JTEST_TEST_CALL(__QSAX_test);
+   JTEST_TEST_CALL(__SHSAX_test);
+   JTEST_TEST_CALL(__SMUSDX_test);
+   JTEST_TEST_CALL(__SMUADX_test);
+   JTEST_TEST_CALL(__QADD_test);
+   JTEST_TEST_CALL(__QSUB_test);
+   JTEST_TEST_CALL(__SMLAD_test);
+   JTEST_TEST_CALL(__SMLADX_test);
+   JTEST_TEST_CALL(__SMLSDX_test);
+   JTEST_TEST_CALL(__SMLALD_test);
+   JTEST_TEST_CALL(__SMLALDX_test);
+   JTEST_TEST_CALL(__SMUAD_test);
+   JTEST_TEST_CALL(__SMUSD_test);
+   JTEST_TEST_CALL(__SXTB16_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/intrinsics_tests/intrinsics_tests_common_data.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/intrinsics_tests/intrinsics_tests_common_data.c
new file mode 100644
index 0000000..621656d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/intrinsics_tests/intrinsics_tests_common_data.c
@@ -0,0 +1,189 @@
+#include "intrinsics_test_data.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Input/Output Buffers */
+/*--------------------------------------------------------------------------------*/
+
+q63_t intrinsics_output_fut[INTRINSICS_MAX_LEN] = {0};
+q63_t intrinsics_output_ref[INTRINSICS_MAX_LEN] = {0};
+float32_t intrinsics_output_f32_fut[INTRINSICS_MAX_LEN] = {0};
+float32_t intrinsics_output_f32_ref[INTRINSICS_MAX_LEN] = {0};
+
+const q63_t intrinsics_q63_inputs[INTRINSICS_MAX_LEN] =
+{
+    0xF7D2D6F5414A5524, 0x5297DAF44CAB5A17, 0x54129B222D6F5B56, 0x54141F6F7DAF4E3B, 0x44C414A529B226EB, 0x22D4CAB541F6F6A ,
+    0x6053A44325CE38BF, 0x33D055403A970AFA, 0x0133D0603A44382A, 0x32513D5605540F8 , 0x03A25CE33D060524, 0x03A3A97013D56570,
+    0x3402674117D7791D, 0x72140A667FE0438C, 0x439218E426741841, 0x11739FF340A66E54, 0x67F17D77218E4386, 0x4267FE0439FF3726,
+    0x46C411420DC177CA, 0x7156C147702F2CF5, 0x26615F6441142FF1, 0x20D662C46C1476AB, 0x7700DC1715F640DD, 0x441702F2662C4E49,
+    0x50D4F8B538055E7E, 0x5570D192770871FE, 0x725576474F8B5360, 0x538258550D1928A0, 0x2773805557647821, 0x74F77087258558CF,
+    0x05066D230C0C604D, 0x63650FA350A46C19, 0x66C3646266D2370D, 0x30C6CE0050FA359A, 0x3500C0C636462E24, 0x26650A466CE00F5C,
+    0x21E3B72166D40948, 0x0731EB61355B5831, 0x577733943B72150A, 0x166773F21EB61530, 0x13566D4073394127, 0x43B355B5773F26F4,
+    0x7221CF5118052980, 0x27A22AD1038D6587, 0x67C7A8121CF517F4, 0x1187CDC722AD1691, 0x103180527A812473, 0x21C038D67CDC7D7F,
+    0x21A0FD604A5110D0, 0x1201A2156D895BB9, 0x53D20EB60FD60F35, 0x04A3DE621A215530, 0x56D4A51120EB6DDA, 0x60F6D8953DE62516,
+    0x02C61E17250123E1, 0x26D2CBB35ED813C8, 0x15B6D35061E175B1, 0x7255B1402CBB32F3, 0x35E250126D350907, 0x0615ED815B140D7E,
+    0x126418B76EAE272D, 0x23C26BB13E221841, 0x1243CF01418B7B88, 0x76E24DB126BB1B80, 0x13E6EAE23CF010E4, 0x1413E22124DB166C,
+    0x1634700479AB7E42, 0x74163F5662DF28D1, 0x246419E047004665, 0x47946BE163F56FC6, 0x66279AB7419E0C75, 0x04762DF246BE1F38,
+    0x63F5CE12243239B2, 0x31F3F574758D03E0, 0x0711F4455CE12926, 0x22471D563F574B74, 0x475243231F4458E2, 0x55C758D071D5639 ,
+    0x34806EF703A17B49, 0x77D48D32173A7C76, 0x70F7D3E306EF7531, 0x7030F2F348D32F34, 0x21703A177D3E3063, 0x306173A70F2F3549,
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+    0x01D302F0147C49C9, 0x4481DAB6385762BD, 0x63748325302F0AE4, 0x01437D501DAB67F8, 0x638147C4483256C9, 0x5303857637D50FCB,
+    0x15819DB74EA82711, 0x26A58DE04D7B2C98, 0x2376AFF719DB78BC, 0x74E3762158DE0DC2, 0x04D4EA826AFF7E7B, 0x7194D7B237621C93,
+    0x32E7F884792C6E19, 0x66C2E19677001192, 0x16A6C7137F88439D, 0x4796AF432E196A66, 0x677792C66C71378C, 0x37F770016AF43B3A,
+    0x06D4BEE17C16225E, 0x2346D5B56687337 , 0x368345D44BEE1608, 0x17C681206D5B5552, 0x5667C162345D4590, 0x44B66873681209CC,
+    0x11F198807B242819, 0x2241FC72508A1416, 0x16A24BD019880FE3, 0x07B6A1D11FC7288A, 0x2507B24224BD0502, 0x019508A16A1D1678,
+    0x45E5ADE120E6CA0 , 0xC7A5EA8659BE2057, 0x2117A2005ADE11EB, 0x120114945EA8649D, 0x65920E6C7A200E6F, 0x05A59BE21149481D,
+    0x5636731272281E93, 0x15263B840A5B0451, 0x07C5221767312D58, 0x2727CDF563B849F1, 0x40A7228152217960, 0x7670A5B07CDF59F3,
+    0x5347DF1533C775C0, 0x73834E961EBA0799, 0x05E38FC77DF1506 , 0x5335EA0534E96110, 0x61E33C7738FC73E3, 0x77D1EBA05EA059B2,
+    0x16C43911022936EA, 0x31C6C0D1316406F6, 0x0381C6F343911185, 0x10238DB16C0D10F3, 0x131022931C6F3DF8, 0x3433164038DB12A9,
+    0x5775F4A35CD41244, 0x14C77CE12C9F0A7B, 0x0314C8005F4A315F, 0x35C318D577CE1C66, 0x12C5CD414C800860, 0x05F2C9F0318D53E0,
+    0x421750817105420D, 0x420217E4575361F2, 0x64D20101750810BA, 0x1714D884217E4CA5, 0x457710542010140 , 0x175575364D884763,
+    0x008141C642BB0DA7, 0x046087F532D53A74, 0x32D464B5141C6CD4, 0x6422D2A0087F5FC3, 0x53242BB0464B53  , 0x51432D532D2A05F6,
+    0x5223EB9215532B45, 0x21F221465D5C3CE1, 0x3111FC523EB9216A, 0x21511AE52214611B, 0x65D155321FC52C5F, 0x23E5D5C311AE5DD7,
+    0x46D7400020B925A9, 0x2386D0E07C640AF4, 0x00938E6A740009AC, 0x020091046D0E0321, 0x07C20B9238E6A61 , 0xA747C64009104544,
+    0x666341A6474F26C8, 0x2596619015254CF3, 0x424598B2341A6B59, 0x64724126661904CE, 0x015474F2598B2197, 0x234152542412659D,
+    0x13008FD161976DD4, 0x63430400329B3E16, 0x3553456308FD1FB0, 0x16155CC1304006F3, 0x032619763456309 , 0x308329B355CC15F1,
+    0x0350036D59DA7630, 0x729353775C801335, 0x175299470036D52 , 0xD5975280353775A5, 0x75C59DA7299476EB, 0x7005C80175280568,
+    0x37F64761766F5264, 0x51B7FB302EA233A6, 0x3361BC03647619F3, 0x17636BC37FB30C7A, 0x02E766F51BC03B9 , 0x3642EA2336BC3061,
+    0x7640AC043F30596E, 0x51E641973E2A527B, 0x5211ECC30AC04220, 0x43F21447641979A3, 0x73E3F3051ECC3B89, 0x30A3E2A521447BC1,
+    0x157299E54E8F2E26, 0x21D57C940C5A1D90, 0x1761D486299E5467, 0x54E76F3157C947E3, 0x40C4E8F21D4865ED, 0x6290C5A176F31C3D,
+    0x05C6FFB34EE81CDF, 0x1305C8233479195E, 0x147300F76FFB3AE1, 0x34E479405C82398 , 0x3344EE81300F7364, 0x76F3479147940AFA,
+    0xF3A224A33B853E3E, 0x3223A674598C440D, 0x42E22880224A3D89, 0x33B2E77F3A674204, 0x4593B85322880A38, 0x022598C42E77F2D ,
+    0x6091FE9022841C9C, 0x12D093354F0609C3, 0x07E2D6B61FE90922, 0x0227EDB609335017, 0x54F228412D6B69A7, 0x61F4F0607EDB63F9,
+    0xE2524BE1099A74EF, 0x716251D21F9F1B40, 0x12816AC524BE17E8, 0x10928D7E251D2F7A, 0x21F099A716AC50D3, 0x5241F9F128D7ED6 ,
+    0x36430DF66D193443, 0x36364FF676156F1B, 0x67463DB230DF6A4E, 0x66D7435364FF6794, 0x6766D19363DB2C9A, 0x2307615674353022,
+    0x16742501556E025C, 0x070675A123802AF9, 0x27F70B22425018A4, 0x1557FB01675A18BB, 0x123556E070B227B9, 0x242238027FB01BF ,
+    0x14F6574563E7910 , 0x9524F6E36C661591, 0x11E52B3265745D2B, 0x5631E6A14F6E379D, 0x36C63E7952B32FAC, 0x2656C6611E6A1101,
+    0x34B469701DE22385, 0x2544BAB42338191F, 0x17854EB4469704B6, 0x01D783934BAB4599, 0x4231DE2254EB4809, 0x4462338178393E6D,
+    0x02D288D5550017DD, 0x1202D52639B120E1, 0x24E20D22288D52D3, 0x5554E1202D52668C, 0x6395500120D22A68, 0x22839B124E1207D1,
+    0x734251773FCC0EFE, 0x05A34BF547F37E64, 0x76F5A8D325177A90, 0x73F6F72734BF5D4D, 0x5473FCC05A8D3DCE, 0x32547F376F7275A8,
+    0x70A64DB56BEA2655, 0x22C0A4D42A1810FC, 0x1712C40264DB593A, 0x56B71C070A4D4BC0, 0x42A6BEA22C402E93, 0x2642A18171C077F9,
+    0x458752F16F0C4577, 0x42C582E370412414, 0x24D2C455752F1DC1, 0x16F4DCD4582E38EA, 0x3706F0C42C455F7B, 0x575704124DCD4EDB,
+    0x53D4FCA112BC2696, 0x2503D5E77B037135, 0x736502F44FCA1F8C, 0x112361653D5E75F6, 0x77B12BC2502F41B0, 0x44F7B037361653F1,
+    0x64657E702E5B0E31, 0x047467B320266B19, 0x61F4703257E703D7, 0x02E1F776467B3E00, 0x3202E5B047032BA3, 0x257202661F776B9C,
+    0x07D1BD5062570A84, 0x07F7D0A27EC75B48, 0x5297FCC21BD5012 , 0x062291307D0A2D5D, 0x27E625707FCC29F2, 0x21B7EC75291304B6,
+    0xE3A7D12719D558ED, 0x55F3ADE047551C8 , 0x1255F7417D12738F, 0x71925D2E3ADE0892, 0x04719D555F741997, 0x17D4755125D2E2F ,
+    0x65415E922B9F2269, 0x227544375C134FED, 0x456272D315E92399, 0x22B5618654437F4E, 0x75C2B9F2272D32AB, 0x3155C13456186AA1,
+    0x8462A8717E4D355C, 0x32C4637A234D7836, 0x75F2C1832A871760, 0x17E5FC784637A94 , 0xA237E4D32C183207, 0x32A234D75FC78B3 ,
+    0x34E6C9F47F10621E, 0x6624E3F1276966B2, 0x62562BA26C9F4A11, 0x47F25F234E3F182C, 0x1277F10662BA2EF5, 0x26C2769625F239CD,
+    0x63F0AC1573D63FED, 0x3733F3D3636E1F5E, 0x135738320AC15A0E, 0x57335C363F3D33EB, 0x36373D63738326EA, 0x20A636E135C366B1,
+    0x642711A14D476E86, 0x67E426A402F63208, 0x3757E4D1711A1FC1, 0x14D75E46426A4396, 0x4024D4767E4D1B93, 0x17102F6375E46DB7,
+    0x60A7AD242F3C44A7, 0x4490A56351A56F5C, 0x64C499527AD2463D, 0x42F4C4B60A5639CA, 0x3512F3C449952C78, 0x27A51A564C4B64F6,
+    0x14B438673AFE7F8D, 0x7554BC1466993D04, 0x36855A8743867F37, 0x73A681A14BC146C2, 0x4663AFE755A875EC, 0x74366993681A1A75,
+    0x61820F7730A67E1B, 0x773189184A4A7D0C, 0x7547389720F77993, 0x730542661891805 , 0x84A30A67738976AD, 0x7204A4A7542667D6,
+    0x6442BF173C5C6EBF, 0x668447C34499187F, 0x17A68D842BF17C97, 0x73C7AAB6447C317F, 0x3443C5C668D8419C, 0x42B449917AAB6456,
+    0x43D09163421B4F29, 0x41A3D72A76740F9C, 0x0751AD5409163B8D, 0x342754943D72AAB , 0xA76421B41AD54DD7, 0x40976740754946EE,
+    0x654105637317342B, 0x30C54BB4218546D4, 0x45D0CE6310563DA7, 0x3735D14654BB4CCE, 0x421731730CE63E46, 0x310218545D146234,
+    0x40709D7233BE6C63, 0x63607C36325044E5, 0x42D3655309D72335, 0x2332DFA407C36BA , 0x63233BE6365530CC, 0x309325042DFA448C,
+    0x312150271663516F, 0x53C1253259B00AA , 0x0493CEF0150274EA, 0x716492F312532D4A, 0x259166353CEF002D, 0x01559B00492F3DA5,
+    0x72F14A10263A2574, 0x2682F6276F8005C2, 0x0266829314A10651, 0x026269872F627ABA, 0x76F263A268293238, 0x3146F80026987646,
+    0x12B59B1552590516, 0x0532B2A410144D36, 0x4275395359B151B9, 0x552278512B2A4F05, 0x4105259053953699, 0x3591014427851C75,
+    0xF4F32843180646F3, 0x54718F4F2E970306, 0x6623953632843145, 0x318D315E18F4FE8F
+};
+
+/* The source data is random across the q63_t range. Accessing it by word should
+   remain random. */
+const q31_t * intrinsics_q31_inputs = (q31_t *) intrinsics_q63_inputs;
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/main.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/main.c
new file mode 100644
index 0000000..3bb7ff9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/main.c
@@ -0,0 +1,31 @@
+#include "jtest.h"
+#include "all_tests.h"
+#include "arm_math.h"
+
+
+#if defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050) && !defined (__MICROLIB)
+__asm(" .global __ARM_use_no_argv\n");
+#endif
+
+
+void debug_init(void)
+{
+    uint32_t * SHCSR_ptr = (uint32_t *) 0xE000ED24; /* System Handler Control and State Register */
+    *SHCSR_ptr |= 0x70000;             /* Enable  UsageFault, BusFault, and MemManage fault*/
+}
+
+int main(void)
+{
+#if !defined(FILEIO)
+    debug_init();
+#endif
+
+    JTEST_INIT();               /* Initialize test framework. */
+
+    JTEST_GROUP_CALL(all_tests); /* Run all tests. */
+
+    JTEST_ACT_EXIT_FW();        /* Exit test framework.  */
+#if !defined(FILEIO)
+    while (1);                   /* Never return. */
+#endif
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/math_helper.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/math_helper.c
new file mode 100644
index 0000000..4b73d49
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/math_helper.c
@@ -0,0 +1,509 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010 ARM Limited. All rights reserved.
+*
+* $Date:        29. November 2010
+* $Revision:    V1.0.3
+*
+* Project:      CMSIS DSP Library
+*
+* Title:        math_helper.c
+*
+* Description:  Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Version 1.0.3 2010/11/29
+*    Re-organized the CMSIS folders and updated documentation.
+*
+* Version 1.0.2 2010/11/11
+*    Documentation updated.
+*
+* Version 1.0.1 2010/10/05
+*    Production release and review comments incorporated.
+*
+* Version 1.0.0 2010/09/20
+*    Production release and review comments incorporated.
+*
+* Version 0.0.7  2010/06/10
+*    Misra-C changes done
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*       Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*       Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief  Caluclation of SNR
+ * @param  float*   Pointer to the reference buffer
+ * @param  float*   Pointer to the test buffer
+ * @param  uint32_t     total number of samples
+ * @return float    SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+      /* Checking for a NAN value in pRef array */
+      test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+      if (temp == 0x7FC00000)
+      {
+        return(100000.0);
+      }
+
+      /* Checking for a NAN value in pTest array */
+      test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+      if (temp == 0x7FC00000)
+      {
+        return(100000.0);
+      }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+    }
+
+    /* Checking for a NAN value in EnergyError */
+    test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if (temp == 0x7FC00000)
+    {
+        return(100000.0);
+    }
+
+
+  SNR = 10 * log10f (EnergySignal / EnergyError);
+
+    /* Checking for a NAN value in SNR */
+    test =   (int *)(&SNR);
+    temp =  *test;
+
+    if (temp == 0x7FC00000)
+    {
+        return(100000.0);
+    }
+
+	return (SNR);
+
+}
+
+
+
+double arm_snr_f64(double *pRef, double *pTest, uint32_t buffSize)
+{
+  double EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  double SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+      /* Checking for a NAN value in pRef array */
+      test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+      if (temp == 0x7FC00000)
+      {
+        return(100000.0);
+      }
+
+      /* Checking for a NAN value in pTest array */
+      test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+      if (temp == 0x7FC00000)
+      {
+        return(100000.0);
+      }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+    }
+
+    /* Checking for a NAN value in EnergyError */
+    test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if (temp == 0x7FC00000)
+    {
+        return(100000.0);
+    }
+
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+    /* Checking for a NAN value in SNR */
+    test =   (int *)(&SNR);
+    temp =  *test;
+
+    if (temp == 0x7FC00000)
+    {
+        return(10000.0);
+    }
+
+  return (SNR);
+
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param  q15_t*       Pointer to input buffer
+ * @param  uint32_t     blockSize
+ * @param  uint32_t     guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Converts float to fixed in q12.20 format
+ * @param  uint32_t     number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q15_t*   Pointer to Ref buffer
+ * @param  q15_t*   Pointer to Test buffer
+ * @param  uint32_t     number of samples in the buffer
+ * @return none
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+    diff = pIn[i] - pOut[i];
+    diffCrnt = (diff > 0) ? diff : -diff;
+
+    if (diffCrnt > maxDiff)
+    {
+        maxDiff = diffCrnt;
+    }
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param  q31_t*   Pointer to Ref buffer
+ * @param  q31_t*   Pointer to Test buffer
+ * @param  uint32_t     number of samples in the buffer
+ * @return none
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+    diff = pIn[i] - pOut[i];
+    diffCrnt = (diff > 0) ? diff : -diff;
+
+    if (diffCrnt > maxDiff)
+    {
+        maxDiff = diffCrnt;
+    }
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t*   Pointer to input buffer
+ * @param  uint32_t     blockSize
+ * @param  uint32_t     guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+                                 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param  q31_t*   Pointer to input buffer
+ * @param  uint32_t     blockSize
+ * @param  uint32_t     guard_bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+                                uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/**
+ * @brief  Caluclates number of guard bits
+ * @param  uint32_t     number of additions
+ * @return none
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/**
+ * @brief  Converts Q15 to floating-point
+ * @param  uint32_t     number of samples in the buffer
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t * pIn,
+                           uint32_t numSamples,
+                           uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/**
+ * @brief  Calculates pow(2, numShifts)
+ * @param  uint32_t     number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }
+
+  return(val);
+}
+
+
+
+/**
+ * @brief  Converts float to fixed q14
+ * @param  uint32_t     number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t * pOut,
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t     number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut,
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param  uint32_t     number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t * pOut,
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/**
+ * @brief  Converts float to fixed q28 format
+ * @param  uint32_t     number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t * pOut,
+                       uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+    /* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Clip the float values to +/- 1
+ * @param  pIn      input buffer
+ * @param  numSamples   number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if (pIn[i] > 1.0f)
+      {
+        pIn[i] = 1.0;
+      }
+      else if ( pIn[i] < -1.0f)
+      {
+        pIn[i] = -1.0;
+      }
+
+    }
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_add_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_add_tests.c
new file mode 100644
index 0000000..c536899
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_add_tests.c
@@ -0,0 +1,31 @@
+#include "jtest.h"
+#include "matrix_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "matrix_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_MAT_ADD_TEST(suffix)          \
+    MATRIX_DEFINE_TEST_TEMPLATE_ELT2(           \
+        mat_add,                                \
+        suffix,                                 \
+        MATRIX_TEST_CONFIG_ADDITIVE_OUTPUT,     \
+        MATRIX_TEST_VALID_ADDITIVE_DIMENSIONS,  \
+        MATRIX_COMPARE_INTERFACE)
+
+JTEST_ARM_MAT_ADD_TEST(f32);
+JTEST_ARM_MAT_ADD_TEST(q31);
+JTEST_ARM_MAT_ADD_TEST(q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(mat_add_tests)
+{
+    JTEST_TEST_CALL(arm_mat_add_f32_test);
+    JTEST_TEST_CALL(arm_mat_add_q31_test);
+    JTEST_TEST_CALL(arm_mat_add_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_cmplx_mult_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_cmplx_mult_tests.c
new file mode 100644
index 0000000..50cd57e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_cmplx_mult_tests.c
@@ -0,0 +1,59 @@
+#include "jtest.h"
+#include "matrix_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "matrix_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_MAT_CMPLX_MULT_TEST(suffix, comparison_interface) \
+    MATRIX_DEFINE_TEST_TEMPLATE_ELT2(                               \
+        mat_cmplx_mult,                                             \
+        suffix,                                                     \
+        MATRIX_TEST_CONFIG_MULTIPLICATIVE_OUTPUT,                   \
+        MATRIX_TEST_VALID_MULTIPLICATIVE_DIMENSIONS,                \
+        comparison_interface)
+
+JTEST_ARM_MAT_CMPLX_MULT_TEST(f32, MATRIX_SNR_COMPARE_INTERFACE);
+JTEST_ARM_MAT_CMPLX_MULT_TEST(q31, MATRIX_COMPARE_INTERFACE);
+
+/*--------------------------------------------------------------------------------*/
+/* Q15 Uses a Different interface than the others. */
+/*--------------------------------------------------------------------------------*/
+
+#define ARM_mat_cmplx_mult_q15_INPUT_INTERFACE(input_a_ptr, input_b_ptr) \
+    PAREN(input_a_ptr, input_b_ptr,                                     \
+          (void *) &matrix_output_fut,                                  \
+          (q15_t *) matrix_output_scratch)
+
+JTEST_DEFINE_TEST(arm_mat_cmplx_mult_q15_test, arm_mat_cmplx_mult_q15)
+{
+    MATRIX_TEST_TEMPLATE_ELT2(
+        matrix_q15_a_inputs,
+        matrix_q15_b_inputs,
+        arm_matrix_instance_q15 * ,
+        arm_matrix_instance_q15,
+        TYPE_FROM_ABBREV(q15),
+        arm_mat_cmplx_mult_q15,
+        ARM_mat_cmplx_mult_q15_INPUT_INTERFACE,
+        ref_mat_cmplx_mult_q15,
+        REF_mat_cmplx_mult_INPUT_INTERFACE,
+        MATRIX_TEST_CONFIG_MULTIPLICATIVE_OUTPUT,
+        MATRIX_TEST_VALID_MULTIPLICATIVE_DIMENSIONS,
+        MATRIX_COMPARE_INTERFACE);
+}
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(mat_cmplx_mult_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_mat_cmplx_mult_f32_test);
+    JTEST_TEST_CALL(arm_mat_cmplx_mult_q31_test);
+    JTEST_TEST_CALL(arm_mat_cmplx_mult_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_init_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_init_tests.c
new file mode 100644
index 0000000..7d879ee
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_init_tests.c
@@ -0,0 +1,58 @@
+#include "jtest.h"
+#include "matrix_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "matrix_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_MAT_INIT_TEST(suffix)                     \
+    JTEST_DEFINE_TEST(arm_mat_init_##suffix##_test,         \
+                      arm_mat_init_##suffix)                \
+    {                                                       \
+        const uint16_t rows = 4;                            \
+        const uint16_t cols = 2;                            \
+        arm_matrix_instance_##suffix  matrix = {0};         \
+        /*  TYPE_FROM_ABBREV(suffix) data[rows*cols] = {0}; */ \
+            TYPE_FROM_ABBREV(suffix) data[4*2] = {0}; \
+                                                            \
+            arm_mat_init_##suffix(&matrix,                  \
+                                  rows,                     \
+                                  cols,                     \
+                                  data);                    \
+                                                            \
+                JTEST_DUMP_STRF("Matrix Dimensions: %dx%d\n", \
+                     (int)matrix.numRows,                   \
+                     (int)matrix.numCols);                  \
+                                                            \
+                if ((matrix.numRows == rows) &&             \
+                    (matrix.numCols == cols) &&             \
+                    (matrix.pData == data))                 \
+                {                                           \
+                    return JTEST_TEST_PASSED;               \
+                }                                           \
+                else                                        \
+                {                                           \
+                    return JTEST_TEST_FAILED;               \
+                }                                           \
+                                                            \
+    }
+
+JTEST_ARM_MAT_INIT_TEST(f32);
+JTEST_ARM_MAT_INIT_TEST(q31);
+JTEST_ARM_MAT_INIT_TEST(q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(mat_init_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_mat_init_f32_test);
+    JTEST_TEST_CALL(arm_mat_init_q31_test);
+    JTEST_TEST_CALL(arm_mat_init_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_inverse_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_inverse_tests.c
new file mode 100644
index 0000000..372ac1d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_inverse_tests.c
@@ -0,0 +1,92 @@
+#include "jtest.h"
+#include "matrix_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "matrix_templates.h"
+#include "type_abbrev.h"
+
+JTEST_DEFINE_TEST(arm_mat_inverse_f32_test, arm_mat_inverse_f32)
+{
+    TEMPLATE_DO_ARR_DESC(
+        mat_idx, arm_matrix_instance_f32 *, mat_ptr, matrix_f32_invertible_inputs
+        ,
+        JTEST_DUMP_STRF("Matrix Dimensions: %dx%d\n",                
+                 (int)mat_ptr->numRows,                         
+                 (int)mat_ptr->numCols); 
+      
+        if (MATRIX_TEST_VALID_SQUARE_DIMENSIONS(arm_matrix_instance_f32 *, mat_ptr))
+        {
+            MATRIX_TEST_CONFIG_SAMESIZE_OUTPUT(arm_matrix_instance_f32 *, mat_ptr);
+
+            /* arm_mat_inverse_f32() modifies its source input. Use the scratch
+             * buffer to store a copy of the intended input. */
+            {
+                float32_t * original_pdata_ptr = mat_ptr->pData;
+
+                memcpy(matrix_output_scratch,
+                       mat_ptr->pData,
+                       mat_ptr->numRows * mat_ptr->numCols * sizeof(float32_t));
+                mat_ptr->pData = (void*) &matrix_output_scratch;
+
+                JTEST_COUNT_CYCLES(arm_mat_inverse_f32(mat_ptr, &matrix_output_fut));
+                mat_ptr->pData = original_pdata_ptr;
+            }
+
+            ref_mat_inverse_f32(mat_ptr, &matrix_output_ref);
+
+            MATRIX_SNR_COMPARE_INTERFACE(arm_matrix_instance_f32,
+                                         float32_t);
+        });
+
+    return JTEST_TEST_PASSED;
+}
+
+JTEST_DEFINE_TEST(arm_mat_inverse_f64_test, arm_mat_inverse_f64)
+{
+    TEMPLATE_DO_ARR_DESC(
+        mat_idx, arm_matrix_instance_f64 *, mat_ptr, matrix_f64_invertible_inputs
+        ,
+        JTEST_DUMP_STRF("Matrix Dimensions: %dx%d\n",                
+                         (int)mat_ptr->numRows,                         
+                         (int)mat_ptr->numCols);    
+                         
+        if (MATRIX_TEST_VALID_SQUARE_DIMENSIONS(arm_matrix_instance_f64 *, mat_ptr))
+        {
+            MATRIX_TEST_CONFIG_SAMESIZE_OUTPUT(arm_matrix_instance_f64 *, mat_ptr);
+
+            /* arm_mat_inverse_f64() modifies its source input. Use the scratch
+             * buffer to store a copy of the intended input. */
+            {
+                float64_t * original_pdata_ptr = mat_ptr->pData;
+
+                memcpy(matrix_output_scratch,
+                       mat_ptr->pData,
+                       mat_ptr->numRows * mat_ptr->numCols * sizeof(float64_t));
+                mat_ptr->pData = (void*) &matrix_output_scratch;
+
+                JTEST_COUNT_CYCLES(arm_mat_inverse_f64(mat_ptr, &matrix_output_fut64));
+                mat_ptr->pData = original_pdata_ptr;
+            }
+
+            ref_mat_inverse_f64(mat_ptr, &matrix_output_ref64);
+
+            MATRIX_DBL_SNR_COMPARE_INTERFACE(arm_matrix_instance_f64);
+        });
+
+    return JTEST_TEST_PASSED;
+}
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(mat_inverse_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_mat_inverse_f32_test);
+    JTEST_TEST_CALL(arm_mat_inverse_f64_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_mult_fast_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_mult_fast_tests.c
new file mode 100644
index 0000000..313aa04
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_mult_fast_tests.c
@@ -0,0 +1,57 @@
+#include "jtest.h"
+#include "matrix_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "matrix_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_MAT_MULT_FAST_TEST(suffix)            \
+    MATRIX_DEFINE_TEST_TEMPLATE_ELT2(                   \
+        mat_mult_fast,                                  \
+        suffix,                                         \
+        MATRIX_TEST_CONFIG_MULTIPLICATIVE_OUTPUT,       \
+        MATRIX_TEST_VALID_MULTIPLICATIVE_DIMENSIONS,    \
+        MATRIX_SNR_COMPARE_INTERFACE)
+
+JTEST_ARM_MAT_MULT_FAST_TEST(q31);
+
+/*--------------------------------------------------------------------------------*/
+/* Q15 Uses a Different interface than the others. */
+/*--------------------------------------------------------------------------------*/
+
+#define ARM_mat_mult_fast_q15_INPUT_INTERFACE(input_a_ptr, input_b_ptr) \
+    PAREN(input_a_ptr, input_b_ptr,                                     \
+          (void *) &matrix_output_fut,                                  \
+          (q15_t *) matrix_output_scratch)
+
+JTEST_DEFINE_TEST(arm_mat_mult_fast_q15_test, arm_mat_mult_fast_q15)
+{
+    MATRIX_TEST_TEMPLATE_ELT2(
+        matrix_q15_a_inputs,
+        matrix_q15_b_inputs,
+        arm_matrix_instance_q15 * ,
+        arm_matrix_instance_q15,
+        TYPE_FROM_ABBREV(q15),
+        arm_mat_mult_fast_q15,
+        ARM_mat_mult_fast_q15_INPUT_INTERFACE,
+        ref_mat_mult_fast_q15,
+        REF_mat_mult_fast_INPUT_INTERFACE,
+        MATRIX_TEST_CONFIG_MULTIPLICATIVE_OUTPUT,
+        MATRIX_TEST_VALID_MULTIPLICATIVE_DIMENSIONS,
+        MATRIX_SNR_COMPARE_INTERFACE);
+}
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(mat_mult_fast_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_mat_mult_fast_q31_test);
+    JTEST_TEST_CALL(arm_mat_mult_fast_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_mult_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_mult_tests.c
new file mode 100644
index 0000000..c74bdc8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_mult_tests.c
@@ -0,0 +1,59 @@
+#include "jtest.h"
+#include "matrix_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "matrix_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_MAT_MULT_TEST(suffix)                 \
+    MATRIX_DEFINE_TEST_TEMPLATE_ELT2(                   \
+        mat_mult,                                       \
+        suffix,                                         \
+        MATRIX_TEST_CONFIG_MULTIPLICATIVE_OUTPUT,       \
+        MATRIX_TEST_VALID_MULTIPLICATIVE_DIMENSIONS,    \
+        MATRIX_COMPARE_INTERFACE)
+
+JTEST_ARM_MAT_MULT_TEST(f32);
+JTEST_ARM_MAT_MULT_TEST(q31);
+
+/*--------------------------------------------------------------------------------*/
+/* Q15 Uses a Different interface than the others. */
+/*--------------------------------------------------------------------------------*/
+
+#define ARM_mat_mult_q15_INPUT_INTERFACE(input_a_ptr, input_b_ptr) \
+    PAREN(input_a_ptr, input_b_ptr,                                     \
+          (void *) &matrix_output_fut,                                  \
+          (q15_t *) matrix_output_scratch)
+
+JTEST_DEFINE_TEST(arm_mat_mult_q15_test, arm_mat_mult_q15)
+{
+    MATRIX_TEST_TEMPLATE_ELT2(
+        matrix_q15_a_inputs,
+        matrix_q15_b_inputs,
+        arm_matrix_instance_q15 * ,
+        arm_matrix_instance_q15,
+        TYPE_FROM_ABBREV(q15),
+        arm_mat_mult_q15,
+        ARM_mat_mult_q15_INPUT_INTERFACE,
+        ref_mat_mult_q15,
+        REF_mat_mult_INPUT_INTERFACE,
+        MATRIX_TEST_CONFIG_MULTIPLICATIVE_OUTPUT,
+        MATRIX_TEST_VALID_MULTIPLICATIVE_DIMENSIONS,
+        MATRIX_COMPARE_INTERFACE);
+}
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(mat_mult_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_mat_mult_f32_test);
+    JTEST_TEST_CALL(arm_mat_mult_q31_test);
+    JTEST_TEST_CALL(arm_mat_mult_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_scale_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_scale_tests.c
new file mode 100644
index 0000000..63fba94
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_scale_tests.c
@@ -0,0 +1,90 @@
+#include "jtest.h"
+#include "matrix_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "matrix_templates.h"
+#include "type_abbrev.h"
+
+/* This is for the two fixed point cases */
+#define JTEST_ARM_MAT_SCALE_TEST(suffix,type)                           \
+    JTEST_DEFINE_TEST(arm_mat_scale_##suffix##_test, arm_mat_scale_##suffix) \
+    {                                                                   \
+        uint32_t i,j;                                                   \
+                                                                        \
+        TEMPLATE_DO_ARR_DESC(                                           \
+            mat_idx, arm_matrix_instance_##suffix *,                    \
+            mat_ptr, matrix_##suffix##_b_inputs                         \
+            ,                                                           \
+            MATRIX_TEST_CONFIG_SAMESIZE_OUTPUT(                         \
+                arm_matrix_instance_##suffix *, mat_ptr);               \
+                                                                        \
+            for(i=0;i<MATRIX_MAX_COEFFS_LEN;i++)                        \
+            {                                                           \
+                for(j=0;j<MATRIX_MAX_SHIFTS_LEN;j++)                    \
+                {                                                       \
+                    JTEST_DUMP_STRF("Matrix Dimensions: %dx%d\n",       \
+                         (int)mat_ptr->numRows,                         \
+                         (int)mat_ptr->numCols);                        \
+                                                                        \
+                    JTEST_COUNT_CYCLES(                                 \
+                        arm_mat_scale_##suffix(mat_ptr,                 \
+                                               matrix_##suffix##_scale_values[i], \
+                                               matrix_shift_values[j],  \
+                                               (arm_matrix_instance_##suffix*) &matrix_output_fut)); \
+                                                                        \
+                    ref_mat_scale_##suffix(mat_ptr,                     \
+                                           matrix_##suffix##_scale_values[i], \
+                                           matrix_shift_values[j],      \
+                                           (arm_matrix_instance_##suffix*) &matrix_output_ref); \
+                                                                        \
+                        MATRIX_SNR_COMPARE_INTERFACE(arm_matrix_instance_##suffix, \
+                                                     type);             \
+                }                                                       \
+            });                                                         \
+                                                                        \
+        return JTEST_TEST_PASSED;                                       \
+    }
+
+JTEST_DEFINE_TEST(arm_mat_scale_f32_test, arm_mat_scale_f32)
+{
+    uint32_t i;
+
+    TEMPLATE_DO_ARR_DESC(
+        mat_idx, arm_matrix_instance_f32 *, mat_ptr, matrix_f32_b_inputs
+        ,
+        MATRIX_TEST_CONFIG_SAMESIZE_OUTPUT(arm_matrix_instance_f32 *, mat_ptr);
+
+        for(i=0;i<MATRIX_MAX_COEFFS_LEN;i++)
+        {
+            JTEST_DUMP_STRF("Matrix Dimensions: %dx%d\n",                
+                         (int)mat_ptr->numRows,                         
+                         (int)mat_ptr->numCols);                        
+            JTEST_COUNT_CYCLES(arm_mat_scale_f32(mat_ptr, matrix_f32_scale_values[i], &matrix_output_fut));
+
+            ref_mat_scale_f32(mat_ptr, matrix_f32_scale_values[i], &matrix_output_ref);
+
+            MATRIX_SNR_COMPARE_INTERFACE(arm_matrix_instance_f32,
+                                         float32_t);
+        });
+
+    return JTEST_TEST_PASSED;
+}
+
+JTEST_ARM_MAT_SCALE_TEST(q31,q31_t);
+JTEST_ARM_MAT_SCALE_TEST(q15,q15_t);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(mat_scale_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_mat_scale_f32_test);
+    JTEST_TEST_CALL(arm_mat_scale_q31_test);
+    JTEST_TEST_CALL(arm_mat_scale_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_sub_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_sub_tests.c
new file mode 100644
index 0000000..245c28e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_sub_tests.c
@@ -0,0 +1,34 @@
+#include "jtest.h"
+#include "matrix_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "matrix_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_MAT_SUB_TEST(suffix)          \
+    MATRIX_DEFINE_TEST_TEMPLATE_ELT2(           \
+        mat_sub,                                \
+        suffix,                                 \
+        MATRIX_TEST_CONFIG_ADDITIVE_OUTPUT,     \
+        MATRIX_TEST_VALID_ADDITIVE_DIMENSIONS,  \
+        MATRIX_COMPARE_INTERFACE)
+
+JTEST_ARM_MAT_SUB_TEST(f32);
+JTEST_ARM_MAT_SUB_TEST(q31);
+JTEST_ARM_MAT_SUB_TEST(q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(mat_sub_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_mat_sub_f32_test);
+    JTEST_TEST_CALL(arm_mat_sub_q31_test);
+    JTEST_TEST_CALL(arm_mat_sub_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_trans_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_trans_tests.c
new file mode 100644
index 0000000..e49c80b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/mat_trans_tests.c
@@ -0,0 +1,33 @@
+#include "jtest.h"
+#include "matrix_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "matrix_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_MAT_TRANS_TEST(suffix)        \
+    MATRIX_DEFINE_TEST_TEMPLATE_ELT1(           \
+        mat_trans,                              \
+        suffix,                                 \
+        MATRIX_TEST_CONFIG_TRANSPOSE_OUTPUT,    \
+        MATRIX_TEST_VALID_DIMENSIONS_ALWAYS)
+
+JTEST_ARM_MAT_TRANS_TEST(f32);
+JTEST_ARM_MAT_TRANS_TEST(q31);
+JTEST_ARM_MAT_TRANS_TEST(q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(mat_trans_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_mat_trans_f32_test);
+    JTEST_TEST_CALL(arm_mat_trans_q31_test);
+    JTEST_TEST_CALL(arm_mat_trans_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/matrix_test_common_data.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/matrix_test_common_data.c
new file mode 100644
index 0000000..123c0d7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/matrix_test_common_data.c
@@ -0,0 +1,259 @@
+#include "arm_math.h"
+#include "matrix_test_data.h"
+#include "type_abbrev.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Input/Output Buffers */
+/*--------------------------------------------------------------------------------*/
+
+MATRIX_TEST_BIGGEST_INPUT_TYPE matrix_output_fut_data[2*MATRIX_TEST_MAX_ELTS] = {0};
+MATRIX_TEST_BIGGEST_INPUT_TYPE matrix_output_ref_data[2*MATRIX_TEST_MAX_ELTS] = {0};
+MATRIX_TEST_BIGGEST_INPUT_TYPE matrix_output_scratch[MATRIX_TEST_MAX_ELTS] = {0};
+
+MATRIX_TEST_BIGGEST_INPUT_TYPE matrix_output_f32_fut[MATRIX_TEST_MAX_ELTS];
+MATRIX_TEST_BIGGEST_INPUT_TYPE matrix_output_f32_ref[MATRIX_TEST_MAX_ELTS];
+
+arm_matrix_instance_f32 matrix_output_fut = {
+    0,
+    0,
+    (float32_t *) &matrix_output_fut_data
+};
+
+arm_matrix_instance_f32 matrix_output_ref = {
+    0,
+    0,
+    (float32_t *) &matrix_output_ref_data
+};
+
+arm_matrix_instance_f64 matrix_output_fut64 = {
+    0,
+    0,
+    (float64_t *) &matrix_output_fut_data
+};
+
+arm_matrix_instance_f64 matrix_output_ref64 = {
+    0,
+    0,
+    (float64_t *) &matrix_output_ref_data
+};
+
+/*--------------------------------------------------------------------------------*/
+/* Data Buckets */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Pool of random data to base matrix inputs from.
+ */
+float32_t matrix_f32_100_rand[100] = {
+/*    -45.0345569674258, first number negativ causes fault in 1x1 multiplay with 0.
+                         AC6 DSP_Lib calculatas a -0.0 which is not a 0.0 in memcmp!
+ */
+     45.0345569674258,  -11.0261163038747, -14.6841428777929,
+    0.0345569674258,    -11.0261163038747, -14.6841428777929,
+    -20.3679194392227,  27.5712678608402,  -12.1390617339732,
+    -19.8753669720509,  42.3379642103244,  -23.7788252219155,
+    -23.7517765301667,  40.2716109915281,  -25.8308714086167,
+    32.1194040197959,   24.4692807074156,  -1.32083675968276,
+    31.1580458282477,   -2.90766514824093, -6.97926086704160,
+    10.2843089382083,   30.1014622769739,  44.4787189721646,
+    -9.60878544118853,  -48.4596562348445, -31.1044984967456,
+    -6.41414114190809,  3.28255887994549,  -26.9511839788442,
+    -31.5183679875864,  21.1215780433683,  -47.0779722437854,
+    -0.913590753192006, -40.3545474831611, -45.6976198342192,
+    18.6775433365315,   -5.32162505701938, -14.9272896423117,
+    34.4308792695389,   40.4880968679893,  -27.8253265982760,
+    42.8854139478045,   -1.07473615999811, -36.8026707393665,
+    -33.1009970537296,  -31.6488844262730, -19.3650527983443,
+    43.9001561999887,   -30.5235710432951, 47.9748378356085,
+    -38.2582349144194,  23.0330862855453,  -16.2280590178623,
+    44.2050590775485,   14.9115474956452,  -13.1515403509664,
+    0.850865538112700,  37.5942811492984,  -27.4078219027601,
+    -6.11300268738968,  -20.3324126781673, -1.13910261964209,
+    40.0053846417662,   45.6134540229802,  23.1722385658670,
+    12.5618560729690,   1.07715641721097,  5.01563428984222,
+    -32.9291952852141,  -38.8880776559401, -18.1221698074118,
+    7.85250610234389,   -13.0753218879785, 7.52085950784656,
+    14.7745963136307,   28.0227435151377,  31.7627708322262,
+    12.2475086001227,   -27.2335702183447, -24.1935304087933,
+    -7.58332402861928,  -26.2716420228479, -38.8797244706213,
+    -44.0220457052844,  -4.90762935690551, -41.8874231134215,
+    29.4831416883453,   8.70447045314168,  -6.43013158961009,
+    -9.12801538874479,  0.785828466111815, -4.11511718200689,
+    28.0252068321138,   -26.5220086627594, 4.70088922863450,
+    42.9385970968730,   14.4318130193692,  -29.2257707266972,
+    46.3088539286913
+};
+
+float64_t matrix_f64_100_rand[100] = {
+//    -45.0345569674258,  -11.0261163038747, -14.6841428777929,
+     45.0345569674258,  -11.0261163038747, -14.6841428777929,
+    0.0345569674258,    -11.0261163038747, -14.6841428777929,
+    -20.3679194392227,  27.5712678608402,  -12.1390617339732,
+    -19.8753669720509,  42.3379642103244,  -23.7788252219155,
+    -23.7517765301667,  40.2716109915281,  -25.8308714086167,
+    32.1194040197959,   24.4692807074156,  -1.32083675968276,
+    31.1580458282477,   -2.90766514824093, -6.97926086704160,
+    10.2843089382083,   30.1014622769739,  44.4787189721646,
+    -9.60878544118853,  -48.4596562348445, -31.1044984967456,
+    -6.41414114190809,  3.28255887994549,  -26.9511839788442,
+    -31.5183679875864,  21.1215780433683,  -47.0779722437854,
+    -0.913590753192006, -40.3545474831611, -45.6976198342192,
+    18.6775433365315,   -5.32162505701938, -14.9272896423117,
+    34.4308792695389,   40.4880968679893,  -27.8253265982760,
+    42.8854139478045,   -1.07473615999811, -36.8026707393665,
+    -33.1009970537296,  -31.6488844262730, -19.3650527983443,
+    43.9001561999887,   -30.5235710432951, 47.9748378356085,
+    -38.2582349144194,  23.0330862855453,  -16.2280590178623,
+    44.2050590775485,   14.9115474956452,  -13.1515403509664,
+    0.850865538112700,  37.5942811492984,  -27.4078219027601,
+    -6.11300268738968,  -20.3324126781673, -1.13910261964209,
+    40.0053846417662,   45.6134540229802,  23.1722385658670,
+    12.5618560729690,   1.07715641721097,  5.01563428984222,
+    -32.9291952852141,  -38.8880776559401, -18.1221698074118,
+    7.85250610234389,   -13.0753218879785, 7.52085950784656,
+    14.7745963136307,   28.0227435151377,  31.7627708322262,
+    12.2475086001227,   -27.2335702183447, -24.1935304087933,
+    -7.58332402861928,  -26.2716420228479, -38.8797244706213,
+    -44.0220457052844,  -4.90762935690551, -41.8874231134215,
+    29.4831416883453,   8.70447045314168,  -6.43013158961009,
+    -9.12801538874479,  0.785828466111815, -4.11511718200689,
+    28.0252068321138,   -26.5220086627594, 4.70088922863450,
+    42.9385970968730,   14.4318130193692,  -29.2257707266972,
+    46.3088539286913
+};
+
+MATRIX_TEST_BIGGEST_INPUT_TYPE matrix_zeros[MATRIX_TEST_MAX_ELTS] = {0};
+
+const float32_t matrix_f32_scale_values[MATRIX_MAX_COEFFS_LEN] =
+{
+        43.0264275639  , -17.0525215570 , -94.8488973910 , -8.1924989580  ,
+        7.2830326091   , 66.8368719314  , 33.9778190671  , 117.8652289772 ,
+        -129.6077797465, -14.6420815368 , 18.0239223278  , 1.0000000000   ,
+        55.0375037651  , 1.8674609862   , 0.00000000000  , -33.5750364909
+};
+
+const q31_t matrix_q31_scale_values[MATRIX_MAX_COEFFS_LEN] =
+{
+    0x0201DC90, 0x211F0D7C, 0x80000000, 0xF573B824,
+    0xE85ED05B, 0x311DFB52, 0x3529E750, 0x00000000,
+    0x7FFFFFFF, 0x21FA525A, 0x0971FD45, 0x05547B68,
+    0x270C6366, 0x06FDD5A6, 0xF7025315, 0xB1155A1E
+};
+
+const q15_t matrix_q15_scale_values[MATRIX_MAX_COEFFS_LEN] =
+{
+    0x0201, 0x211F, 0x8000, 0xF573,
+    0xE85E, 0x311D, 0x3529, 0x0000,
+    0x7FFF, 0x21FA, 0x0971, 0x0554,
+    0x270C, 0x06FD, 0xF702, 0xB115
+};
+
+const int32_t matrix_shift_values[MATRIX_MAX_SHIFTS_LEN] =
+{
+    -16, -7, 0, 7, 16
+};
+
+/*--------------------------------------------------------------------------------*/
+/* Matrix Definitions */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Define matrices by suffix (f32, q31, q15) for use in test cases.
+ *
+ *  The rand1 and rand2 suffixes get their data from the same pool of random
+ *  data, but their starting points differ by 1 element.
+ *
+ *  Makes available:
+ *  - matrix_`suffix`_1x1_rand1/2
+ *  - matrix_`suffix`_1x4_rand1/2
+ *  - matrix_`suffix`_2x4_rand1/2
+ *  - matrix_`suffix`_4x4_rand1/2
+ */
+#define MATRIX_DEFINE_MATRICES(suffix)                              \
+    arm_matrix_instance_##suffix matrix_##suffix##_1x1_rand1 =      \
+        {1, 1, (TYPE_FROM_ABBREV(suffix) *) matrix_f32_100_rand };  \
+    arm_matrix_instance_##suffix matrix_##suffix##_1x1_rand2 =      \
+        {1, 1, (TYPE_FROM_ABBREV(suffix) *) (matrix_f32_100_rand+1)}; \
+    arm_matrix_instance_##suffix matrix_##suffix##_1x1_zeros =      \
+        {1, 1, (TYPE_FROM_ABBREV(suffix) *) matrix_zeros};          \
+                                                                    \
+    arm_matrix_instance_##suffix matrix_##suffix##_1x4_rand1 =      \
+        {1, 4, (TYPE_FROM_ABBREV(suffix) *) matrix_f32_100_rand };  \
+    arm_matrix_instance_##suffix matrix_##suffix##_1x4_rand2 =      \
+        {1, 4, (TYPE_FROM_ABBREV(suffix) *) (matrix_f32_100_rand+1)}; \
+    arm_matrix_instance_##suffix matrix_##suffix##_1x4_zeros =      \
+        {1, 4, (TYPE_FROM_ABBREV(suffix) *) matrix_zeros};          \
+                                                                    \
+    arm_matrix_instance_##suffix matrix_##suffix##_2x4_rand1 =      \
+        {2, 4, (TYPE_FROM_ABBREV(suffix) *) matrix_f32_100_rand };  \
+    arm_matrix_instance_##suffix matrix_##suffix##_2x4_rand2 =      \
+        {2, 4, (TYPE_FROM_ABBREV(suffix) *) (matrix_f32_100_rand+1)}; \
+    arm_matrix_instance_##suffix matrix_##suffix##_2x4_zeros =      \
+        {2, 4, (TYPE_FROM_ABBREV(suffix) *) matrix_zeros};          \
+                                                                    \
+    arm_matrix_instance_##suffix matrix_##suffix##_4x4_rand1 =      \
+        {4, 4, (TYPE_FROM_ABBREV(suffix) *) matrix_f32_100_rand };  \
+    arm_matrix_instance_##suffix matrix_##suffix##_4x4_rand2 =      \
+        {4, 4, (TYPE_FROM_ABBREV(suffix) *) (matrix_f32_100_rand+1)}; \
+    arm_matrix_instance_##suffix matrix_##suffix##_4x4_zeros =      \
+        {4, 4, (TYPE_FROM_ABBREV(suffix) *) matrix_zeros}
+
+MATRIX_DEFINE_MATRICES(f64);
+MATRIX_DEFINE_MATRICES(f32);
+MATRIX_DEFINE_MATRICES(q31);
+MATRIX_DEFINE_MATRICES(q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Matrix-Input Arrays */
+/*--------------------------------------------------------------------------------*/
+
+/* Define Input #ARR_DESC_t by suffix.
+ *
+ * Taking inputs in parallel from the 'a' and 'b' arrays yields the following
+ * test cases:
+ * - 1x1 multiplication by zero
+ * - 1x1 multiplication between random numbers
+ * - 1x1 * 1x4 valid dimension interaction
+ * - 1x1 * 2x4 invalid dimension interaction
+ * - 2x4 * 4x4 larger valid dimension interaction
+ * - 4x4 * 4x4 larger valid dimension interaction
+ */
+#define MATRIX_DEFINE_INPUTS(suffix)                        \
+    ARR_DESC_DEFINE(arm_matrix_instance_##suffix *,         \
+                    matrix_##suffix##_a_inputs,             \
+                    6,                                      \
+                    CURLY(                                  \
+                        &matrix_##suffix##_1x1_rand1,       \
+                        &matrix_##suffix##_1x1_rand1,       \
+                        &matrix_##suffix##_1x1_rand1,       \
+                        &matrix_##suffix##_1x1_rand1,       \
+                        &matrix_##suffix##_2x4_rand1,       \
+                        &matrix_##suffix##_4x4_rand1        \
+                        ));                                 \
+                                                            \
+    ARR_DESC_DEFINE(arm_matrix_instance_##suffix *,         \
+                    matrix_##suffix##_b_inputs,             \
+                    6,                                      \
+                    CURLY(                                  \
+                        &matrix_##suffix##_1x1_zeros,       \
+                        &matrix_##suffix##_1x1_rand2,       \
+                        &matrix_##suffix##_1x4_rand2,       \
+                        &matrix_##suffix##_2x4_rand2,       \
+                        &matrix_##suffix##_4x4_rand2,       \
+                        &matrix_##suffix##_4x4_rand2        \
+                        ));                                 \
+                                                            \
+    ARR_DESC_DEFINE(arm_matrix_instance_##suffix *,         \
+                    matrix_##suffix##_invertible_inputs,    \
+                    4,                                      \
+                    CURLY(                                  \
+                        &matrix_##suffix##_1x1_rand1,       \
+                        &matrix_##suffix##_1x1_rand2,       \
+                        &matrix_##suffix##_4x4_rand1,       \
+                        &matrix_##suffix##_4x4_rand2        \
+                        ))                                  \
+
+MATRIX_DEFINE_INPUTS(f64);
+MATRIX_DEFINE_INPUTS(f32);
+MATRIX_DEFINE_INPUTS(q31);
+MATRIX_DEFINE_INPUTS(q15);
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/matrix_test_group.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/matrix_test_group.c
new file mode 100644
index 0000000..c87439d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/matrix_tests/matrix_test_group.c
@@ -0,0 +1,19 @@
+#include "jtest.h"
+#include "matrix_tests.h"
+
+JTEST_DEFINE_GROUP(matrix_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_GROUP_CALL(mat_add_tests);
+    JTEST_GROUP_CALL(mat_cmplx_mult_tests);
+    JTEST_GROUP_CALL(mat_init_tests);
+    JTEST_GROUP_CALL(mat_inverse_tests);
+    JTEST_GROUP_CALL(mat_mult_tests);
+    JTEST_GROUP_CALL(mat_mult_fast_tests);
+    JTEST_GROUP_CALL(mat_sub_tests);
+    JTEST_GROUP_CALL(mat_trans_tests);
+    JTEST_GROUP_CALL(mat_scale_tests);
+    return;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/max_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/max_tests.c
new file mode 100644
index 0000000..d60973b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/max_tests.c
@@ -0,0 +1,36 @@
+#include "jtest.h"
+#include "statistics_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "statistics_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_MAX_TEST(suffix)              \
+    STATISTICS_DEFINE_TEST_TEMPLATE_BUF1_BLK(   \
+        max,                                    \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        STATISTICS_COMPARE_INTERFACE)
+
+JTEST_ARM_MAX_TEST(f32);
+JTEST_ARM_MAX_TEST(q31);
+JTEST_ARM_MAX_TEST(q15);
+JTEST_ARM_MAX_TEST(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(max_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_max_f32_test);
+    JTEST_TEST_CALL(arm_max_q31_test);
+    JTEST_TEST_CALL(arm_max_q15_test);
+    JTEST_TEST_CALL(arm_max_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/mean_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/mean_tests.c
new file mode 100644
index 0000000..291c10a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/mean_tests.c
@@ -0,0 +1,36 @@
+#include "jtest.h"
+#include "statistics_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "statistics_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_MEAN_TEST(suffix)             \
+    STATISTICS_DEFINE_TEST_TEMPLATE_BUF1_BLK(   \
+        mean,                                   \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        STATISTICS_COMPARE_INTERFACE)
+
+JTEST_ARM_MEAN_TEST(f32);
+JTEST_ARM_MEAN_TEST(q31);
+JTEST_ARM_MEAN_TEST(q15);
+JTEST_ARM_MEAN_TEST(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(mean_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_mean_f32_test);
+    JTEST_TEST_CALL(arm_mean_q31_test);
+    JTEST_TEST_CALL(arm_mean_q15_test);
+    JTEST_TEST_CALL(arm_mean_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/min_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/min_tests.c
new file mode 100644
index 0000000..9d831d0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/min_tests.c
@@ -0,0 +1,36 @@
+#include "jtest.h"
+#include "statistics_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "statistics_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_MIN_TEST(suffix)              \
+    STATISTICS_DEFINE_TEST_TEMPLATE_BUF1_BLK(   \
+        min,                                    \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        STATISTICS_COMPARE_INTERFACE)
+
+JTEST_ARM_MIN_TEST(f32);
+JTEST_ARM_MIN_TEST(q31);
+JTEST_ARM_MIN_TEST(q15);
+JTEST_ARM_MIN_TEST(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(min_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_min_f32_test);
+    JTEST_TEST_CALL(arm_min_q31_test);
+    JTEST_TEST_CALL(arm_min_q15_test);
+    JTEST_TEST_CALL(arm_min_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/power_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/power_tests.c
new file mode 100644
index 0000000..12c30ea
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/power_tests.c
@@ -0,0 +1,36 @@
+#include "jtest.h"
+#include "statistics_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "statistics_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_POWER_TEST(suffix, output_type)   \
+    STATISTICS_DEFINE_TEST_TEMPLATE_BUF1_BLK(       \
+        power,                                      \
+        suffix,                                     \
+        TYPE_FROM_ABBREV(suffix),                   \
+        TYPE_FROM_ABBREV(suffix),                   \
+        STATISTICS_SNR_COMPARE_INTERFACE)
+
+JTEST_ARM_POWER_TEST(f32, float32_t);
+JTEST_ARM_POWER_TEST(q31, q63_t);
+JTEST_ARM_POWER_TEST(q15, q63_t);
+JTEST_ARM_POWER_TEST(q7,  q31_t);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(power_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_power_f32_test);
+    JTEST_TEST_CALL(arm_power_q31_test);
+    JTEST_TEST_CALL(arm_power_q15_test);
+    JTEST_TEST_CALL(arm_power_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/rms_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/rms_tests.c
new file mode 100644
index 0000000..d9b1a24
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/rms_tests.c
@@ -0,0 +1,34 @@
+#include "jtest.h"
+#include "statistics_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "statistics_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_RMS_TEST(suffix)              \
+    STATISTICS_DEFINE_TEST_TEMPLATE_BUF1_BLK(   \
+        rms,                                    \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        STATISTICS_SNR_COMPARE_INTERFACE)
+
+JTEST_ARM_RMS_TEST(f32);
+JTEST_ARM_RMS_TEST(q31);
+JTEST_ARM_RMS_TEST(q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(rms_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_rms_f32_test);
+    JTEST_TEST_CALL(arm_rms_q31_test);
+    JTEST_TEST_CALL(arm_rms_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/statistics_test_common_data.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/statistics_test_common_data.c
new file mode 100644
index 0000000..ebf4580
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/statistics_test_common_data.c
@@ -0,0 +1,94 @@
+#include "statistics_test_data.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Input/Output Buffers */
+/*--------------------------------------------------------------------------------*/
+
+
+ARR_DESC_DEFINE(STATISTICS_BIGGEST_INPUT_TYPE,
+                statistics_output_fut,
+                STATISTICS_MAX_INPUT_ELEMENTS,
+                CURLY(0));
+
+ARR_DESC_DEFINE(STATISTICS_BIGGEST_INPUT_TYPE,
+                statistics_output_ref,
+                STATISTICS_MAX_INPUT_ELEMENTS,
+                CURLY(0));
+
+uint32_t statistics_idx_fut = 0;
+uint32_t statistics_idx_ref = 0;
+
+STATISTICS_BIGGEST_INPUT_TYPE
+statistics_output_f32_ref[STATISTICS_MAX_INPUT_ELEMENTS];
+
+STATISTICS_BIGGEST_INPUT_TYPE
+statistics_output_f32_fut[STATISTICS_MAX_INPUT_ELEMENTS];
+
+/*--------------------------------------------------------------------------------*/
+/* Block Sizes */
+/*--------------------------------------------------------------------------------*/
+
+/* 
+  To change test parameter values add/remove values inside CURLY and update 
+  the preceeding parameter to reflect the number of values inside CURLY. 
+*/
+
+ARR_DESC_DEFINE(uint32_t,
+                statistics_block_sizes,
+                4,
+                CURLY(1, 2, 15, 32));
+
+/*--------------------------------------------------------------------------------*/
+/* Test Data */
+/*--------------------------------------------------------------------------------*/
+
+ARR_DESC_DEFINE(float32_t,
+                statistics_f_32,
+                32,
+                CURLY(
+                    -0.0865129623056441 , -0.3331168756476194,
+                    0.0250664612949661  , 0.0575352840717098,
+                    -0.2292942701362928 , 0.2381830931285998,
+                    0.2378328403304206  ,  -0.0075266553186635,
+                    0.0654584722817308  , 0.0349278285641849,
+                    -0.0373417155362879 , 0.1451581096586606,
+                    -0.1176633086028378 , 0.4366371636394202,
+                    -0.0272791766173191 , 0.0227862627041619,
+                    0.2133536422718378  ,  0.0118562921047211,
+                    -0.0191296810967338 , -0.1664698927300045,
+                    0.0588821632785281  , -0.2672363715875608,
+                    0.1428649103637904  ,  0.3247124128892542,
+                    -0.1383551403404573 , 0.1715993345656525,
+                    0.2508002843205065  , -0.3187459152894954,
+                    -0.2881928863802040 , 0.1142295247316356,
+                    -0.0799771155430726 , 0.1379994750928690
+                    ));
+
+
+ARR_DESC_DEFINE_SUBSET(statistics_f_31,
+                       statistics_f_32,
+                       31);
+
+ARR_DESC_DEFINE_SUBSET(statistics_f_15,
+                       statistics_f_32,
+                       15);
+
+ARR_DESC_DEFINE_SUBSET(statistics_f_2,
+                       statistics_f_32,
+                       2);
+
+ARR_DESC_DEFINE(float32_t,
+                statistics_zeros,
+                32,
+                CURLY(0));
+
+/* Aggregate all float datasets */
+ARR_DESC_DEFINE(ARR_DESC_t *,
+                statistics_f_all,
+                4,
+                CURLY(
+                    &statistics_zeros,
+                    &statistics_f_2,
+                    &statistics_f_15,
+                    &statistics_f_32
+                    ));
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/statistics_test_group.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/statistics_test_group.c
new file mode 100644
index 0000000..6a610a6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/statistics_test_group.c
@@ -0,0 +1,14 @@
+#include "jtest.h"
+#include "statistics_tests.h"
+
+JTEST_DEFINE_GROUP(statistics_tests)
+{
+    JTEST_GROUP_CALL(max_tests);
+    JTEST_GROUP_CALL(mean_tests);
+    JTEST_GROUP_CALL(min_tests);
+    JTEST_GROUP_CALL(power_tests);
+    JTEST_GROUP_CALL(rms_tests);
+    JTEST_GROUP_CALL(std_tests);
+    JTEST_GROUP_CALL(var_tests);
+    return;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/std_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/std_tests.c
new file mode 100644
index 0000000..b80ed71
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/std_tests.c
@@ -0,0 +1,34 @@
+#include "jtest.h"
+#include "statistics_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "statistics_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_STD_TEST(suffix)              \
+    STATISTICS_DEFINE_TEST_TEMPLATE_BUF1_BLK(   \
+        std,                                    \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        STATISTICS_SNR_COMPARE_INTERFACE)
+
+JTEST_ARM_STD_TEST(f32);
+JTEST_ARM_STD_TEST(q31);
+JTEST_ARM_STD_TEST(q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(std_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_std_f32_test);
+    JTEST_TEST_CALL(arm_std_q31_test);
+    JTEST_TEST_CALL(arm_std_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/var_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/var_tests.c
new file mode 100644
index 0000000..3aa7c27
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/statistics_tests/var_tests.c
@@ -0,0 +1,34 @@
+#include "jtest.h"
+#include "statistics_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "statistics_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_VAR_TEST(suffix)              \
+    STATISTICS_DEFINE_TEST_TEMPLATE_BUF1_BLK(   \
+        var,                                    \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        STATISTICS_SNR_COMPARE_INTERFACE)
+
+JTEST_ARM_VAR_TEST(f32);
+JTEST_ARM_VAR_TEST(q31);
+JTEST_ARM_VAR_TEST(q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(var_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_var_f32_test);
+    JTEST_TEST_CALL(arm_var_q31_test);
+    JTEST_TEST_CALL(arm_var_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/copy_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/copy_tests.c
new file mode 100644
index 0000000..3804f63
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/copy_tests.c
@@ -0,0 +1,33 @@
+#include "jtest.h"
+#include "support_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "support_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_COPY_TEST(suffix)             \
+    SUPPORT_DEFINE_TEST_TEMPLATE_BUF1_BLK(      \
+        copy,                                   \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        SUPPORT_COMPARE_INTERFACE)
+
+JTEST_ARM_COPY_TEST(f32);
+JTEST_ARM_COPY_TEST(q31);
+JTEST_ARM_COPY_TEST(q15);
+JTEST_ARM_COPY_TEST(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(copy_tests)
+{
+    JTEST_TEST_CALL(arm_copy_f32_test);
+    JTEST_TEST_CALL(arm_copy_q31_test);
+    JTEST_TEST_CALL(arm_copy_q15_test);
+    JTEST_TEST_CALL(arm_copy_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/fill_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/fill_tests.c
new file mode 100644
index 0000000..fc5892d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/fill_tests.c
@@ -0,0 +1,36 @@
+#include "jtest.h"
+#include "support_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "support_templates.h"
+#include "type_abbrev.h"
+
+#define JTEST_ARM_FILL_TEST(suffix)             \
+    SUPPORT_DEFINE_TEST_TEMPLATE_ELT1_BLK(      \
+        fill,                                   \
+        suffix,                                 \
+        TYPE_FROM_ABBREV(suffix),               \
+        TYPE_FROM_ABBREV(suffix),               \
+        SUPPORT_COMPARE_INTERFACE)
+
+JTEST_ARM_FILL_TEST(f32);
+JTEST_ARM_FILL_TEST(q31);
+JTEST_ARM_FILL_TEST(q15);
+JTEST_ARM_FILL_TEST(q7);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(fill_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_fill_f32_test);
+    JTEST_TEST_CALL(arm_fill_q31_test);
+    JTEST_TEST_CALL(arm_fill_q15_test);
+    JTEST_TEST_CALL(arm_fill_q7_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/support_test_common_data.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/support_test_common_data.c
new file mode 100644
index 0000000..f4b5911
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/support_test_common_data.c
@@ -0,0 +1,85 @@
+#include "arm_math.h"
+#include "support_test_data.h"
+
+#define MAX_INPUT_ELEMENTS 32
+#define BIGGEST_INPUT_TYPE float32_t
+
+/*--------------------------------------------------------------------------------*/
+/* Input/Output Buffers */
+/*--------------------------------------------------------------------------------*/
+
+ARR_DESC_DEFINE(BIGGEST_INPUT_TYPE,
+                support_output_fut,
+                MAX_INPUT_ELEMENTS,
+                CURLY(0));
+
+ARR_DESC_DEFINE(BIGGEST_INPUT_TYPE,
+                support_output_ref,
+                MAX_INPUT_ELEMENTS,
+                CURLY(0));
+
+/*--------------------------------------------------------------------------------*/
+/* Block Sizes */
+/*--------------------------------------------------------------------------------*/
+
+/* 
+  To change test parameter values add/remove values inside CURLY and update 
+  the preceeding parameter to reflect the number of values inside CURLY. 
+*/
+
+ARR_DESC_DEFINE(uint32_t,
+                support_block_sizes,
+                4,
+                CURLY( 2, 7, 15, 32));
+
+/*--------------------------------------------------------------------------------*/
+/* Numbers */
+/*--------------------------------------------------------------------------------*/
+
+ARR_DESC_DEFINE(uint32_t,
+                support_elts,
+                4,
+                CURLY( 0, 1, 0x80000000, 0x7fffffff));
+
+/*--------------------------------------------------------------------------------*/
+/* Test Data */
+/*--------------------------------------------------------------------------------*/
+
+ARR_DESC_DEFINE(float32_t,
+                support_f_32,
+                32,
+                CURLY(
+                      0.24865986 , -0.13364227, -0.27233250 , -7.33488200,
+                      0.42190653 , 1.17435880 , -0.49824914 , 0.87883663,
+                      0.63066370 , 1.80275680 , -84.83916000, -2.06773800,
+                      7.63452500 , 1.01487610 , -0.65785825 , 1.78019030,
+                      -0.34160388, 0.68546050 , -1.81721590 , -0.10340453,
+                      -4.48600340, -1.69763480, -1.26022340 , -1.58457480,
+                      0.51993870 , 2.83526470 , -0.21502694 , -0.57690346,
+                      -0.22945681, 0.79509383 , 0.07275216  , -2.16279080
+                      ));
+
+/* Alias the 32 element array with wrappers that end sooner. */
+ARR_DESC_DEFINE_SUBSET(support_f_15,
+                       support_f_32,
+                       15);
+
+ARR_DESC_DEFINE_SUBSET(support_f_2,
+                       support_f_32,
+                       2);
+
+ARR_DESC_DEFINE(float32_t,
+                support_zeros,
+                32,
+                CURLY(0));
+
+/* Aggregate all float datasets. */
+ARR_DESC_DEFINE(ARR_DESC_t *,
+                support_f_all,
+                4,
+                CURLY(
+                      &support_zeros,
+                      &support_f_2,
+                      &support_f_15,
+                      &support_f_32
+                      ));
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/support_test_group.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/support_test_group.c
new file mode 100644
index 0000000..7cc2732
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/support_test_group.c
@@ -0,0 +1,10 @@
+#include "jtest.h"
+#include "support_tests.h"
+
+JTEST_DEFINE_GROUP(support_tests)
+{
+    JTEST_GROUP_CALL(copy_tests);
+    JTEST_GROUP_CALL(fill_tests);
+    JTEST_GROUP_CALL(x_to_y_tests);
+    return;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/x_to_y_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/x_to_y_tests.c
new file mode 100644
index 0000000..4667031
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/support_tests/x_to_y_tests.c
@@ -0,0 +1,80 @@
+#include "jtest.h"
+#include "support_test_data.h"
+#include "arr_desc.h"
+#include "arm_math.h"           /* FUTs */
+#include "ref.h"                /* Reference Functions */
+#include "test_templates.h"
+#include "support_templates.h"
+#include "type_abbrev.h"
+
+/* Aliases to play nicely with templates. */
+#define arm_f32_to_q31 arm_float_to_q31
+#define arm_f32_to_q15 arm_float_to_q15
+#define arm_f32_to_q7  arm_float_to_q7
+#define arm_q31_to_f32 arm_q31_to_float
+#define arm_q15_to_f32 arm_q15_to_float
+#define arm_q7_to_f32  arm_q7_to_float
+#define ref_f32_to_q31 ref_float_to_q31
+#define ref_f32_to_q15 ref_float_to_q15
+#define ref_f32_to_q7  ref_float_to_q7
+#define ref_q31_to_f32 ref_q31_to_float
+#define ref_q15_to_f32 ref_q15_to_float
+#define ref_q7_to_f32  ref_q7_to_float
+
+#define JTEST_ARM_X_TO_Y_TEST(prefix, suffix)               \
+    JTEST_DEFINE_TEST(arm_##prefix##_to_##suffix##_test,    \
+                      arm_##prefix##_to_##suffix)           \
+    {                                                       \
+        TEST_TEMPLATE_BUF1_BLK(                             \
+            support_f_all,                                  \
+            support_block_sizes,                            \
+            TYPE_FROM_ABBREV(prefix),                       \
+            TYPE_FROM_ABBREV(suffix),                       \
+            arm_##prefix##_to_##suffix,                     \
+            ARM_x_to_y_INPUT_INTERFACE,                     \
+            ref_##prefix##_to_##suffix,                     \
+            REF_x_to_y_INPUT_INTERFACE,                     \
+            SUPPORT_COMPARE_INTERFACE);                     \
+    }
+
+JTEST_ARM_X_TO_Y_TEST(f32, q31);
+JTEST_ARM_X_TO_Y_TEST(f32, q15);
+JTEST_ARM_X_TO_Y_TEST(f32, q7);
+
+JTEST_ARM_X_TO_Y_TEST(q31, f32);
+JTEST_ARM_X_TO_Y_TEST(q31, q15);
+JTEST_ARM_X_TO_Y_TEST(q31, q7);
+
+JTEST_ARM_X_TO_Y_TEST(q15, f32);
+JTEST_ARM_X_TO_Y_TEST(q15, q31);
+JTEST_ARM_X_TO_Y_TEST(q15, q7);
+
+JTEST_ARM_X_TO_Y_TEST(q7, f32);
+JTEST_ARM_X_TO_Y_TEST(q7, q31);
+JTEST_ARM_X_TO_Y_TEST(q7, q15);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group. */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(x_to_y_tests)
+{
+    /*
+      To skip a test, comment it out.
+    */
+    JTEST_TEST_CALL(arm_f32_to_q31_test);
+    JTEST_TEST_CALL(arm_f32_to_q15_test);
+    JTEST_TEST_CALL(arm_f32_to_q7_test);
+
+    JTEST_TEST_CALL(arm_q31_to_f32_test);
+    JTEST_TEST_CALL(arm_q31_to_q15_test);
+    JTEST_TEST_CALL(arm_q31_to_q7_test);
+
+    JTEST_TEST_CALL(arm_q15_to_f32_test);
+    JTEST_TEST_CALL(arm_q15_to_q31_test);
+    JTEST_TEST_CALL(arm_q15_to_q7_test);
+
+    JTEST_TEST_CALL(arm_q7_to_f32_test);
+    JTEST_TEST_CALL(arm_q7_to_q31_test);
+    JTEST_TEST_CALL(arm_q7_to_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/cfft_family_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/cfft_family_tests.c
new file mode 100644
index 0000000..d3e775e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/cfft_family_tests.c
@@ -0,0 +1,183 @@
+#include "jtest.h"
+#include "ref.h"
+#include "arr_desc.h"
+#include "transform_templates.h"
+#include "transform_test_data.h"
+#include "type_abbrev.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Macros and Defines */
+/*--------------------------------------------------------------------------------*/
+
+#define CFFT_FN_NAME(fn_specifier, type_suffix) \
+    arm_cfft_##fn_specifier##_##type_suffix     \
+
+#define CFFT_TEST_NAME(fn_specifier, type_suffix, config_suffix)        \
+    arm_cfft_##fn_specifier##_##type_suffix##_##config_suffix##_test    \
+
+/*--------------------------------------------------------------------------------*/
+/* Function Aliases */
+/*--------------------------------------------------------------------------------*/
+
+/* These aliases allow expansions in the CFFT_FAMILY_DEFINE_TEST() template to
+   make sense */
+#define arm_cfft_mag_init_f32 arm_cfft_radix4_init_f32
+#define arm_cfft_mag_init_q31 arm_cfft_radix4_init_q31
+#define arm_cfft_mag_init_q15 arm_cfft_radix4_init_q15
+#define arm_cfft_mag_instance_f32 arm_cfft_radix4_instance_f32
+#define arm_cfft_mag_instance_q31 arm_cfft_radix4_instance_q31
+#define arm_cfft_mag_instance_q15 arm_cfft_radix4_instance_q15
+#define transform_mag_fftlens transform_radix4_fftlens
+
+/*--------------------------------------------------------------------------------*/
+/* Test Definition */
+/*--------------------------------------------------------------------------------*/
+
+/**
+ *  Defines a test for the family of CFFT transforms.
+ *
+ *  The family of CFFT transforms includes:
+ *
+ *  - arm_cfft_radix4_xxx
+ *  - arm_cfft_radix2_xxx
+ *  - arm_cfft_mag_xxx
+ *
+ *  Where xxx can be f32, q31, or q15.
+ *
+ *  @param fn_specifier Allowed values: radix4, radix2, mag.
+ *  @param type_suffix  Allowed values: f32, q31, q15.
+ *
+ *  @param config_suffix Used to differentiate test names based configuration
+ *  (in this case whether the ifft_flag is set or not.)
+
+ *  @param comparison_interface Macro name used to compare reference and fut
+ *  outputs.
+ *
+ *  @param output_tpe The type of variable contained in the output
+ *  (e.g. float32_t, uint32_t, etc).
+ *
+ *  @param ifft_flag Determines whether the arm_cfft_instance_xxx is configured
+ *  for an inverse FFT.
+ */
+#define CFFT_FAMILY_DEFINE_TEST(fn_specifier,                               \
+                                type_suffix,                                \
+                                config_suffix, /* Delineate between test configs*/ \
+                                comparison_interface,                       \
+                                output_type,                                \
+                                ifft_flag)                                  \
+    JTEST_DEFINE_TEST(CFFT_TEST_NAME(fn_specifier, type_suffix,             \
+                                     config_suffix),                        \
+                      CFFT_FN_NAME(fn_specifier, type_suffix))              \
+    {                                                                       \
+        arm_cfft_##fn_specifier##_instance_##type_suffix cfft_inst_fut;     \
+        arm_cfft_##fn_specifier##_instance_##type_suffix cfft_inst_ref;     \
+                                                                            \
+        TEMPLATE_DO_ARR_DESC(                                               \
+            fftlen_idx, uint16_t, fftlen, transform_##fn_specifier##_fftlens \
+            ,                                                               \
+                                                                            \
+            /* Initialize the cfft instance */                              \
+            arm_cfft_##fn_specifier##_init_##type_suffix(                   \
+                &cfft_inst_fut, fftlen, ifft_flag, (uint8_t)1);             \
+            arm_cfft_##fn_specifier##_init_##type_suffix(                   \
+                &cfft_inst_ref, fftlen, ifft_flag, (uint8_t)1);             \
+                                                                            \
+            TRANSFORM_PREPARE_INPLACE_INPUTS(                               \
+                transform_fft_##type_suffix##_inputs,                       \
+                fftlen *                                                    \
+                sizeof(TYPE_FROM_ABBREV(type_suffix)) *                     \
+                2 /*complex_inputs*/);                                      \
+                                                                            \
+            /* Display parameter values */                                  \
+            JTEST_DUMP_STRF("Block Size: %d\n"                              \
+                            "Inverse-transform flag: %d\n",                 \
+                            (int)fftlen,                                    \
+                            (int)ifft_flag);                                \
+                                                                            \
+            /* Display cycle count and run test */                          \
+            JTEST_COUNT_CYCLES(                                             \
+                arm_cfft_##fn_specifier##_##type_suffix(                    \
+                    &cfft_inst_fut,                                         \
+                    (void*) transform_fft_inplace_input_fut));              \
+                                                                            \
+            ref_cfft_##fn_specifier##_##type_suffix(                        \
+                &cfft_inst_ref,                                             \
+                (void *) transform_fft_inplace_input_ref);                  \
+                                                                            \
+            /* Test correctness */                                          \
+            comparison_interface(                                           \
+                fftlen,                                                     \
+                output_type));                                              \
+                                                                            \
+        return JTEST_TEST_PASSED;                                           \
+    }
+
+/**
+ *  Bulk wrapper for all tests instantiated using #CFFT_FAMILY_DEFINE_TEST().
+ *
+ *  This macro allows several test definitions to share the same config_suffix
+ *  and ifft_flag settings.
+ */
+#define CFFT_FAMILY_DEFINE_ALL_TESTS(config_suffix, ifft_flag)      \
+    /* Radix2 tests*/                                               \
+    CFFT_FAMILY_DEFINE_TEST(radix2, q31, config_suffix,             \
+                            TRANSFORM_SNR_COMPARE_CMPLX_INTERFACE,  \
+                            TYPE_FROM_ABBREV(q31),                  \
+                            ifft_flag);                             \
+    CFFT_FAMILY_DEFINE_TEST(radix2, q15, config_suffix,             \
+                            TRANSFORM_SNR_COMPARE_CMPLX_INTERFACE,  \
+                            TYPE_FROM_ABBREV(q15),                  \
+                            ifft_flag);                             \
+    /* Radix4 tests*/                                               \
+    CFFT_FAMILY_DEFINE_TEST(radix4, q31, config_suffix,             \
+                            TRANSFORM_SNR_COMPARE_CMPLX_INTERFACE,  \
+                            TYPE_FROM_ABBREV(q31),                  \
+                            ifft_flag);                             \
+    CFFT_FAMILY_DEFINE_TEST(radix4, q15, config_suffix,             \
+                            TRANSFORM_SNR_COMPARE_CMPLX_INTERFACE,  \
+                            TYPE_FROM_ABBREV(q15),                  \
+                            ifft_flag)
+    /* /\* Mag tests*\/                                                  \ */
+    /* CFFT_FAMILY_DEFINE_TEST(mag, f32, config_suffix,                \ */
+    /*                         TRANSFORM_SNR_COMPARE_INTERFACE,        \ */
+    /*                         TYPE_FROM_ABBREV(f32),                  \ */
+    /*                         ifft_flag);                             \ */
+    /* CFFT_FAMILY_DEFINE_TEST(mag, q31, config_suffix,                \ */
+    /*                         TRANSFORM_SNR_COMPARE_INTERFACE,        \ */
+    /*                         TYPE_FROM_ABBREV(q31),                  \ */
+    /*                         ifft_flag);                             \ */
+    /* CFFT_FAMILY_DEFINE_TEST(mag, q15, config_suffix,                \ */
+    /*                         TRANSFORM_SNR_COMPARE_INTERFACE,        \ */
+    /*                         TYPE_FROM_ABBREV(q15),                  \ */
+    /*                         ifft_flag) */
+
+CFFT_FAMILY_DEFINE_ALL_TESTS(forward, 0U);
+CFFT_FAMILY_DEFINE_ALL_TESTS(inverse, 1U);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(cfft_family_tests)
+{
+    /* Forward FFT tests */
+    JTEST_TEST_CALL(arm_cfft_radix2_q31_forward_test);
+    JTEST_TEST_CALL(arm_cfft_radix2_q15_forward_test);
+    JTEST_TEST_CALL(arm_cfft_radix4_q31_forward_test);
+    JTEST_TEST_CALL(arm_cfft_radix4_q15_forward_test);
+
+    /* Inverse FFT Tests */
+    JTEST_TEST_CALL(arm_cfft_radix2_q31_inverse_test);
+    JTEST_TEST_CALL(arm_cfft_radix2_q15_inverse_test);
+    JTEST_TEST_CALL(arm_cfft_radix4_q31_inverse_test);
+    JTEST_TEST_CALL(arm_cfft_radix4_q15_inverse_test);
+
+    /* Magnitude tests removed from the DSP Library. Keeping them here in case
+       minds are changed. */
+    /* JTEST_TEST_CALL(arm_cfft_mag_f32_forward_test); */
+    /* JTEST_TEST_CALL(arm_cfft_mag_q31_forward_test); */
+    /* JTEST_TEST_CALL(arm_cfft_mag_q15_forward_test); */
+    /* JTEST_TEST_CALL(arm_cfft_mag_f32_inverse_test); */
+    /* JTEST_TEST_CALL(arm_cfft_mag_q31_inverse_test); */
+    /* JTEST_TEST_CALL(arm_cfft_mag_q15_inverse_test); */
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/cfft_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/cfft_tests.c
new file mode 100644
index 0000000..f26c6f6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/cfft_tests.c
@@ -0,0 +1,144 @@
+#include "jtest.h"
+#include "ref.h"
+#include "arr_desc.h"
+#include "transform_templates.h"
+#include "transform_test_data.h"
+
+#define CFFT_SNR_THRESHOLD 120
+
+/*
+  CFFT function test template. Arguments are: inverse-transform flag, function
+  suffix (q7/q15/q31/f32) and the output type (q7_t, q15_t, q31_t, float32_t)
+*/
+#define CFFT_TEST_BODY(ifft_flag, suffix, output_type)                                  \
+    do                                                                                  \
+    {                                                                                   \
+        /* Go through all arm_cfft_instances */                                         \
+        TEMPLATE_DO_ARR_DESC(                                                           \
+            cfft_inst_idx, const arm_cfft_instance_##suffix *, cfft_inst_ptr,           \
+            transform_cfft_##suffix##_structs                                           \
+            ,                                                                           \
+                                                                                        \
+            TRANSFORM_PREPARE_INPLACE_INPUTS(                                           \
+                transform_fft_##suffix##_inputs,                                        \
+                cfft_inst_ptr->fftLen *                                                 \
+                sizeof(output_type) *                                                   \
+                2 /*complex_inputs*/);                                                  \
+                                                                                        \
+                /* Display parameter values */                                          \
+                JTEST_DUMP_STRF("Block Size: %d\n"                                      \
+                                "Inverse-transform flag: %d\n",                         \
+                                (int)cfft_inst_ptr->fftLen,                             \
+                                (int)ifft_flag);                                        \
+                                                                                        \
+            /* Display cycle count and run test */                                      \
+            JTEST_COUNT_CYCLES(                                                         \
+                arm_cfft_##suffix(cfft_inst_ptr,                                        \
+                             (void *) transform_fft_inplace_input_fut,                  \
+                             ifft_flag,              /* IFFT Flag */                    \
+                             1));            /* Bitreverse flag */                      \
+            ref_cfft_##suffix(cfft_inst_ptr,                                            \
+                         (void *) transform_fft_inplace_input_ref,                      \
+                         ifft_flag,         /* IFFT Flag */                             \
+                         1);        /* Bitreverse flag */                               \
+                                                                                        \
+            /* Test correctness */                                                      \
+            TRANSFORM_SNR_COMPARE_CMPLX_INTERFACE(                                      \
+                cfft_inst_ptr->fftLen,                                                  \
+                output_type));                                                          \
+                                                                                        \
+        return JTEST_TEST_PASSED;                                                       \
+    } while (0)
+
+
+/*
+  CFFT function with downshift test template. Arguments are: inverse-transform flag,
+  function suffix (q7/q15/q31/f32) and the output type (q7_t, q15_t, q31_t, float32_t)
+*/
+#define CFFT_DOWNSHIFT_INPUT_TEST_BODY(ifft_flag, suffix, output_type)                  \
+    do                                                                                  \
+    {                                                                                   \
+        /* Go through all arm_cfft_instances */                                         \
+        TEMPLATE_DO_ARR_DESC(                                                           \
+            cfft_inst_idx, const arm_cfft_instance_##suffix *, cfft_inst_ptr,           \
+            transform_cfft_##suffix##_structs                                           \
+            ,                                                                           \
+                                                                                        \
+            TRANSFORM_PREPARE_INPLACE_INPUTS_DOWNSHIFT(                                 \
+                transform_fft_##suffix##_inputs,                                        \
+                cfft_inst_ptr->fftLen *                                                 \
+                sizeof(output_type) *                                                   \
+                2 /*complex_inputs*/, output_type);                                     \
+                                                                                        \
+            /* Display parameter values */                                              \
+            JTEST_DUMP_STRF("Block Size: %d\n"                                          \
+                            "Inverse-transform flag: %d\n",                             \
+                            (int)cfft_inst_ptr->fftLen,                                 \
+                            (int)ifft_flag);                                            \
+                                                                                        \
+            /* Display cycle count and run test */                                      \
+            JTEST_COUNT_CYCLES(                                                         \
+                arm_cfft_##suffix(cfft_inst_ptr,                                        \
+                             (void *) transform_fft_inplace_input_fut,                  \
+                             ifft_flag,              /* IFFT Flag */                    \
+                             1));            /* Bitreverse flag */                      \
+            ref_cfft_##suffix(cfft_inst_ptr,                                            \
+                         (void *) transform_fft_inplace_input_ref,                      \
+                         ifft_flag,         /* IFFT Flag */                             \
+                         1);        /* Bitreverse flag */                               \
+                                                                                        \
+            /* Test correctness */                                                      \
+            TRANSFORM_SNR_COMPARE_CMPLX_INTERFACE(                                      \
+                cfft_inst_ptr->fftLen,                                                  \
+                output_type));                                                          \
+                                                                                        \
+        return JTEST_TEST_PASSED;                                                       \
+    } while (0)
+
+
+/* Test declarations */
+JTEST_DEFINE_TEST(cfft_f32_test, cfft_f32)
+{
+    CFFT_TEST_BODY((uint8_t) 0, f32, float32_t);
+}
+
+JTEST_DEFINE_TEST(cfft_f32_ifft_test, cfft_f32)
+{
+    CFFT_TEST_BODY((uint8_t) 1, f32, float32_t);
+}
+
+JTEST_DEFINE_TEST(cfft_q31_test, cfft_q31)
+{
+    CFFT_TEST_BODY((uint8_t) 0, q31, q31_t);
+}
+
+JTEST_DEFINE_TEST(cfft_q31_ifft_test, cfft_q31)
+{
+    CFFT_TEST_BODY((uint8_t) 1, q31, q31_t);
+}
+
+JTEST_DEFINE_TEST(cfft_q15_test, cfft_q15)
+{
+    CFFT_TEST_BODY((uint8_t) 0, q15, q15_t);
+}
+
+JTEST_DEFINE_TEST(cfft_q15_ifft_test, cfft_q15)
+{
+    CFFT_TEST_BODY((uint8_t) 1, q15, q15_t);
+}
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(cfft_tests)
+{
+    JTEST_TEST_CALL(cfft_f32_test);
+    JTEST_TEST_CALL(cfft_f32_ifft_test);
+
+    JTEST_TEST_CALL(cfft_q31_test);
+    JTEST_TEST_CALL(cfft_q31_ifft_test);
+
+    JTEST_TEST_CALL(cfft_q15_test);
+    JTEST_TEST_CALL(cfft_q15_ifft_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/dct4_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/dct4_tests.c
new file mode 100644
index 0000000..aae5a42
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/dct4_tests.c
@@ -0,0 +1,197 @@
+#include "jtest.h"
+#include "ref.h"
+#include "arm_math.h"
+#include "arr_desc.h"
+#include "transform_templates.h"
+#include "transform_test_data.h"
+#include "type_abbrev.h"
+#include <math.h>               /* sqrtf() */
+
+/*--------------------------------------------------------------------------------*/
+/* Aliases to aid macro expansion */
+/*--------------------------------------------------------------------------------*/
+#define ref_sqrt_f32(x) sqrtf(x)
+
+/*--------------------------------------------------------------------------------*/
+/* Test Definitions */
+/*--------------------------------------------------------------------------------*/
+
+/*
+DCT function test template. Arguments are: function configuration suffix
+(q7/q15/q31/f32) and input type (q7_t/q15_t/q31_t/float32_t)
+*/
+#define DCT4_DEFINE_TEST(suffix, input_type)                            \
+    JTEST_DEFINE_TEST(arm_dct4_##suffix##_test, arm_dct4_##suffix)      \
+    {                                                                   \
+        CONCAT(arm_dct4_instance_,suffix) dct4_inst_fut        = {0};   \
+        CONCAT(arm_rfft_instance_,suffix) rfft_inst_fut        = {0};   \
+        CONCAT(arm_cfft_radix4_instance_,suffix) cfft_inst_fut = {0};   \
+                                                                        \
+        CONCAT(arm_dct4_instance_,suffix) dct4_inst_ref        = {0};   \
+        CONCAT(arm_rfft_instance_,suffix) rfft_inst_ref        = {0};   \
+        CONCAT(arm_cfft_radix4_instance_,suffix) cfft_inst_ref = {0};   \
+                                                                        \
+        /* Go through all dct lengths */                                \
+        TEMPLATE_DO_ARR_DESC(                                           \
+            fftlen_idx, uint16_t, fftlen, transform_dct_fftlens         \
+            ,                                                           \
+                                                                        \
+            float32_t normalize_f32 =                                   \
+                  ref_sqrt_f32((2.0f/(float32_t)fftlen));               \
+            input_type normalize;                                       \
+                                                                        \
+            /* Calculate normalized DCT4 value for input_type. */       \
+            TEST_CONVERT_FLOAT_TO(&normalize_f32, &normalize,           \
+                                  1, input_type);                       \
+                                                                        \
+            /* Initialize the DCT4, RFFT, and CFFT instances */         \
+            arm_dct4_init_##suffix(                                     \
+                &dct4_inst_fut, &rfft_inst_fut, &cfft_inst_fut,         \
+                fftlen,                                                 \
+                fftlen/2,                                               \
+                normalize);                                             \
+                                                                        \
+            arm_dct4_init_##suffix(                                     \
+                &dct4_inst_ref, &rfft_inst_ref, &cfft_inst_ref,         \
+                fftlen,                                                 \
+                fftlen/2,                                               \
+                normalize);                                             \
+                                                                        \
+             memset( transform_fft_input_fut,0,                         \
+                     fftlen*sizeof(input_type));                        \
+                                                                        \
+            TRANSFORM_PREPARE_INPLACE_INPUTS(                           \
+                transform_fft_##suffix##_inputs,                        \
+                fftlen * sizeof(input_type));                           \
+                                                                        \
+            /* Display parameter values */                              \
+            JTEST_DUMP_STRF("Block Size: %d\n",                         \
+                         (int)fftlen);                                  \
+                                                                        \
+            /* Input provided as a scratch buffer. Inplace input is     \
+             * actual input. Display cycle count and run test*/         \
+            JTEST_COUNT_CYCLES(                                         \
+                arm_dct4_##suffix(                                      \
+                    &dct4_inst_fut,                                     \
+                    (void *) transform_fft_input_fut,                   \
+                    (void *) transform_fft_inplace_input_fut));         \
+                                                                        \
+             memset( transform_fft_input_ref,0,                         \
+                     fftlen*sizeof(input_type));                        \
+                                                                        \
+            /* Input provided as a scratch buffer. Inplace input is */  \
+            /* actual input. */                                         \
+            ref_dct4_##suffix(                                          \
+                &dct4_inst_ref,                                         \
+                (void *) transform_fft_input_ref,                       \
+                (void *) transform_fft_inplace_input_ref);              \
+                                                                        \
+            /* Test correctness */                                      \
+            DCT_TRANSFORM_SNR_COMPARE_INTERFACE(                        \
+                fftlen,                                                 \
+                input_type));                                           \
+                                                                        \
+        return JTEST_TEST_PASSED;                                       \
+    }
+
+/*
+  DCT function test template for fixed point data. Arguments are: function
+  suffix (q7/q15/q31/f32), input type (q7_t/q15_t/q31_t/float32_t) and prefix
+  (dct_4)
+*/
+#define DCT4_FIXED_POINT_DEFINE_TEST(suffix, input_type, prefix)           \
+    JTEST_DEFINE_TEST(arm_dct4_##suffix##_test, arm_dct4_##suffix)         \
+    {                                                                      \
+        CONCAT(arm_dct4_instance_,suffix) dct4_inst_fut        = {0};      \
+        CONCAT(arm_rfft_instance_,suffix) rfft_inst_fut        = {0};      \
+        CONCAT(arm_cfft_radix4_instance_,suffix) cfft_inst_fut = {0};      \
+                                                                           \
+        CONCAT(arm_dct4_instance_,suffix) dct4_inst_ref        = {0};      \
+        CONCAT(arm_rfft_instance_,suffix) rfft_inst_ref        = {0};      \
+        CONCAT(arm_cfft_radix4_instance_,suffix) cfft_inst_ref = {0};      \
+                                                                           \
+        TEMPLATE_DO_ARR_DESC(                                              \
+            fftlen_idx, uint16_t, fftlen, transform_dct_fftlens            \
+            ,                                                              \
+            uint32_t i;                                                    \
+            float32_t normalize_f32 =                                      \
+                  ref_sqrt_f32((2.0f/(float32_t)fftlen));                  \
+            input_type normalize;                                          \
+                                                                           \
+            /* Calculate normalized DCT4 value for input_type. */          \
+            TEST_CONVERT_FLOAT_TO(&normalize_f32, &normalize,              \
+                                  1, input_type);                          \
+                                                                           \
+            /* Initialize the DCT4, RFFT, and CFFT instances */            \
+            arm_dct4_init_##suffix(                                        \
+                &dct4_inst_fut, &rfft_inst_fut, &cfft_inst_fut,            \
+                fftlen,                                                    \
+                fftlen/2,                                                  \
+                normalize);                                                \
+                                                                           \
+            arm_dct4_init_##suffix(                                        \
+                &dct4_inst_ref, &rfft_inst_ref, &cfft_inst_ref,            \
+                fftlen,                                                    \
+                fftlen/2,                                                  \
+                normalize);                                                \
+                                                                           \
+             /* Input samples need to be downscaled by 1 bit to            \
+              * avoid saturations in the Q31 DCT process,                  \
+              * as the conversion from DCT2 to DCT4 involves               \
+              * one subtraction.                                           \
+              */                                                           \
+             for(i=0; i < fftlen; i++)                                     \
+             {                                                             \
+               ((input_type*)transform_fft_inplace_input_fut)[i] =         \
+                        prefix##transform_fft_##suffix##_inputs[i] >> 1;   \
+               ((input_type*)transform_fft_inplace_input_ref)[i] =         \
+                        prefix##transform_fft_##suffix##_inputs[i] >> 1;   \
+             }                                                             \
+                                                                           \
+             memset( transform_fft_input_fut,0,                            \
+                     fftlen*sizeof(input_type));                           \
+                                                                           \
+             /* Display test parameter values */                           \
+            JTEST_DUMP_STRF("Block Size: %d\n",                            \
+                         (int)fftlen);                                     \
+                                                                           \
+            /* Input provided as a scratch buffer. Inplace input is        \
+             * actual input. */                                            \
+            JTEST_COUNT_CYCLES(                                            \
+                arm_dct4_##suffix(                                         \
+                    &dct4_inst_fut,                                        \
+                    (void *) transform_fft_input_fut,                      \
+                    (void *) transform_fft_inplace_input_fut));            \
+                                                                           \
+             memset( transform_fft_input_ref,0,                            \
+                     fftlen*sizeof(input_type));                           \
+                                                                           \
+            /* Input provided as a scratch buffer. Inplace input is */     \
+            /* actual input. */                                            \
+            ref_dct4_##suffix(                                             \
+                &dct4_inst_ref,                                            \
+                (void *) transform_fft_input_ref,                          \
+                (void *) transform_fft_inplace_input_ref);                 \
+                                                                           \
+            /* Test correctness */                                         \
+            DCT_TRANSFORM_SNR_COMPARE_INTERFACE(                           \
+                fftlen,                                                    \
+                input_type));                                              \
+                                                                           \
+        return JTEST_TEST_PASSED;                                          \
+    }
+
+DCT4_DEFINE_TEST(f32, float32_t);
+DCT4_FIXED_POINT_DEFINE_TEST(q31, q31_t,);
+DCT4_FIXED_POINT_DEFINE_TEST(q15, q15_t, dct4_);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(dct4_tests)
+{
+    JTEST_TEST_CALL(arm_dct4_f32_test);
+    JTEST_TEST_CALL(arm_dct4_q31_test);
+    JTEST_TEST_CALL(arm_dct4_q15_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/rfft_fast_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/rfft_fast_tests.c
new file mode 100644
index 0000000..d8a8e17
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/rfft_fast_tests.c
@@ -0,0 +1,75 @@
+#include "jtest.h"
+#include "ref.h"
+#include "arr_desc.h"
+#include "transform_templates.h"
+#include "transform_test_data.h"
+#include "type_abbrev.h"
+
+/*
+FFT fast function test template. Arguments are: function configuration suffix
+(q7/q15/q31/f32) and inverse-transform flag
+*/
+#define RFFT_FAST_DEFINE_TEST(config_suffix, ifft_flag)                 \
+    JTEST_DEFINE_TEST(arm_rfft_fast_f32_##config_suffix##_test,         \
+                      arm_fft_f32)                                      \
+    {                                                                   \
+        arm_rfft_fast_instance_f32 rfft_inst_fut = {{0}, 0, 0};         \
+        arm_rfft_fast_instance_f32 rfft_inst_ref = {{0}, 0, 0};         \
+                                                                        \
+        /* Go through all FFT lengths */                                \
+        TEMPLATE_DO_ARR_DESC(                                           \
+            fftlen_idx, uint16_t, fftlen, transform_rfft_fast_fftlens   \
+            ,                                                           \
+                                                                        \
+            /* Initialize the RFFT and CFFT Instances */                \
+            arm_rfft_fast_init_f32(                                     \
+                &rfft_inst_fut, fftlen);                                \
+                                                                        \
+            arm_rfft_fast_init_f32(                                     \
+                &rfft_inst_ref, fftlen);                                \
+                                                                        \
+            TRANSFORM_COPY_INPUTS(                                      \
+                transform_fft_f32_inputs,                               \
+                fftlen *                                                \
+                sizeof(float32_t));                                     \
+                                                                        \
+            /* Display parameter values */                              \
+            JTEST_DUMP_STRF("Block Size: %d\n"                          \
+                            "Inverse-transform flag: %d\n",             \
+                         (int)fftlen,                                   \
+                         (int)ifft_flag);                               \
+                                                                        \
+            /* Display cycle count and run test */                      \
+            JTEST_COUNT_CYCLES(                                         \
+                arm_rfft_fast_f32(                                      \
+                    &rfft_inst_fut,                                     \
+                    (void *) transform_fft_input_fut,                   \
+                    (void *) transform_fft_output_fut,                  \
+                    ifft_flag));                                        \
+                                                                        \
+            ref_rfft_fast_f32(                                          \
+                &rfft_inst_ref,                                         \
+                (void *) transform_fft_input_ref,                       \
+                (void *) transform_fft_output_ref,                      \
+                ifft_flag);                                             \
+                                                                        \
+            /* Test correctness */                                      \
+            TRANSFORM_SNR_COMPARE_INTERFACE(                            \
+                fftlen,                                                 \
+                float32_t));                                            \
+                                                                        \
+        return JTEST_TEST_PASSED;                                       \
+    }
+
+RFFT_FAST_DEFINE_TEST(forward, 0U);
+RFFT_FAST_DEFINE_TEST(inverse, 1U);
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(rfft_fast_tests)
+{
+    JTEST_TEST_CALL(arm_rfft_fast_f32_forward_test);
+    JTEST_TEST_CALL(arm_rfft_fast_f32_inverse_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/rfft_tests.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/rfft_tests.c
new file mode 100644
index 0000000..6fbc8e6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/rfft_tests.c
@@ -0,0 +1,94 @@
+#include "jtest.h"
+#include "ref.h"
+#include "arr_desc.h"
+#include "transform_templates.h"
+#include "transform_test_data.h"
+#include "type_abbrev.h"
+
+/*
+  FFT function test template. Arguments are: function suffix (q7/q15/q31/f32)
+  function configuration suffix (same as function suffix), inverse-transform flag,
+  input and output type (both q7_t/q15_t/q31_t/float32_t)
+*/
+#define RFFT_DEFINE_TEST(suffix, config_suffix,                         \
+                         ifft_flag, input_type, output_type)            \
+    JTEST_DEFINE_TEST(arm_rfft_##suffix##_##config_suffix##_test,       \
+                      arm_rfft_##suffix)                                \
+    {                                                                   \
+        CONCAT(arm_rfft_instance_, suffix) rfft_inst_fut = {0};         \
+        CONCAT(arm_rfft_instance_, suffix) rfft_inst_ref = {0};         \
+                                                                        \
+        /* Go through all arm_rfft lengths */                           \
+        TEMPLATE_DO_ARR_DESC(                                           \
+            fftlen_idx, uint16_t, fftlen, transform_rfft_fftlens        \
+            ,                                                           \
+                                                                        \
+            /* Initialize the RFFT and CFFT Instances */                \
+            arm_rfft_init_##suffix(                                     \
+                &rfft_inst_fut,                                         \
+                (uint32_t) fftlen, ifft_flag, 1U);                      \
+                                                                        \
+            arm_rfft_init_##suffix(                                     \
+                &rfft_inst_ref,                                         \
+                (uint32_t) fftlen, ifft_flag, 1U);                      \
+                                                                        \
+            if (ifft_flag)                                               \
+            {                                                           \
+               TRANSFORM_PREPARE_INVERSE_INPUTS(                        \
+                   transform_fft_##suffix##_inputs,                     \
+                   fftlen, input_type,                                  \
+                   fftlen *                                             \
+                   sizeof(input_type));                                 \
+            }                                                           \
+            else                                                        \
+            {                                                           \
+               TRANSFORM_COPY_INPUTS(                                   \
+                   transform_fft_##suffix##_inputs,                     \
+                   fftlen *                                             \
+                   sizeof(input_type));                                 \
+            }                                                           \
+                                                                        \
+            /* Display parameter values */                              \
+            JTEST_DUMP_STRF("Block Size: %d\n"                          \
+                            "Inverse-transform flag: %d\n",             \
+                         (int)fftlen,                                   \
+                         (int)ifft_flag);                               \
+                                                                        \
+            /* Display cycle count and run test */                      \
+            JTEST_COUNT_CYCLES(                                         \
+                arm_rfft_##suffix(                                      \
+                    &rfft_inst_fut,                                     \
+                    (void *) transform_fft_input_fut,                   \
+                    (void *) transform_fft_output_fut));                \
+                                                                        \
+            ref_rfft_##suffix(                                          \
+                &rfft_inst_ref,                                         \
+                (void *) transform_fft_input_ref,                       \
+                (void *) transform_fft_output_ref);                     \
+                                                                        \
+            /* Test correctness */                                      \
+            TRANSFORM_SNR_COMPARE_INTERFACE(                            \
+                fftlen,                                                 \
+                output_type));                                          \
+                                                                        \
+            return JTEST_TEST_PASSED;                                   \
+    }
+
+RFFT_DEFINE_TEST(q31, forward, 0U, TYPE_FROM_ABBREV(q31), TYPE_FROM_ABBREV(q31));
+RFFT_DEFINE_TEST(q15, forward, 0U, TYPE_FROM_ABBREV(q15), TYPE_FROM_ABBREV(q15));
+//RFFT_DEFINE_TEST(f32, inverse, 1U, TYPE_FROM_ABBREV(f32), TYPE_FROM_ABBREV(f32));
+RFFT_DEFINE_TEST(q31, inverse, 1U, TYPE_FROM_ABBREV(q31), TYPE_FROM_ABBREV(q31));
+RFFT_DEFINE_TEST(q15, inverse, 1U, TYPE_FROM_ABBREV(q15), TYPE_FROM_ABBREV(q15));
+
+/*--------------------------------------------------------------------------------*/
+/* Collect all tests in a group */
+/*--------------------------------------------------------------------------------*/
+
+JTEST_DEFINE_GROUP(rfft_tests)
+{
+    JTEST_TEST_CALL(arm_rfft_q31_forward_test);
+    JTEST_TEST_CALL(arm_rfft_q15_forward_test);
+    //JTEST_TEST_CALL(arm_rfft_f32_inverse_test);
+    JTEST_TEST_CALL(arm_rfft_q31_inverse_test);
+    JTEST_TEST_CALL(arm_rfft_q15_inverse_test);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/transform_test_group.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/transform_test_group.c
new file mode 100644
index 0000000..f071068
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/transform_test_group.c
@@ -0,0 +1,11 @@
+#include "jtest.h"
+#include "transform_tests.h"
+
+JTEST_DEFINE_GROUP(transform_tests)
+{
+    JTEST_GROUP_CALL(cfft_tests);
+    JTEST_GROUP_CALL(cfft_family_tests);
+    JTEST_GROUP_CALL(rfft_tests);
+    JTEST_GROUP_CALL(rfft_fast_tests);
+    JTEST_GROUP_CALL(dct4_tests);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/transform_tests_common_data.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/transform_tests_common_data.c
new file mode 100644
index 0000000..98987b3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/Common/src/transform_tests/transform_tests_common_data.c
@@ -0,0 +1,3311 @@
+#include "transform_test_data.h"
+#include "arm_const_structs.h"
+
+/*--------------------------------------------------------------------------------*/
+/* Input/Output Buffers */
+/*--------------------------------------------------------------------------------*/
+
+float32_t transform_fft_output_fut[TRANSFORM_MAX_FFT_LEN * 2] = {0};
+float32_t transform_fft_output_ref[TRANSFORM_MAX_FFT_LEN * 2] = {0};
+float32_t transform_fft_input_fut[TRANSFORM_MAX_FFT_LEN * 2] = {0};
+float32_t transform_fft_input_ref[TRANSFORM_MAX_FFT_LEN * 2] = {0};
+float32_t transform_fft_output_f32_fut[TRANSFORM_MAX_FFT_LEN * 2] = {0};
+float32_t transform_fft_output_f32_ref[TRANSFORM_MAX_FFT_LEN * 2] = {0};
+
+/* Some of the transform function modify their inputs in-place, so that they
+ * become the outputs. */
+float32_t * transform_fft_inplace_input_fut = transform_fft_output_fut;
+float32_t * transform_fft_inplace_input_ref = transform_fft_output_ref;
+
+q31_t transform_fft_q31_inputs[TRANSFORM_MAX_FFT_LEN * 2] =
+{
+    0xC14A5524, 0xCCABDA17, 0xAD6F5B56, 0xFDAFCE3B, 0xA9B226EB,
+    0x41F6F6A, 0xA5CE38BF, 0x3A978AFA, 0xBA44B82A, 0x855C0F8,
+    0x3D060524, 0x93D5E570, 0x97D7791D, 0xFFE0C38C, 0x26749841,
+    0xC0A6EE54, 0x218EC386, 0x39FF3726, 0x8DC1F7CA, 0x702F2CF5,
+    0xC1142FF1, 0xEC1476AB, 0x15F640DD, 0xE62CCE49, 0x3805DE7E,
+    0xF70871FE, 0xCF8BD360, 0x8D19A8A0, 0xD764F821, 0xA58558CF,
+    0x8C0CE04D, 0x50A46C19, 0x66D2370D, 0x50FA359A, 0xB646AE24,
+    0x6CE00F5C, 0xE6D48948, 0xB55BD831, 0x3B72950A, 0x9EB69530,
+    0x73394127, 0x773FA6F4, 0x9805A980, 0x838DE587, 0x9CF597F4,
+    0xA2AD1691, 0xFA81A473, 0x7CDC7D7F, 0x4A5190D0, 0xED895BB9,
+    0x8FD60F35, 0x1A21D530, 0xA0EB6DDA, 0xBDE6A516, 0x2501A3E1,
+    0x5ED893C8, 0xE1E175B1, 0xACBBB2F3, 0xED350907, 0xDB140D7E,
+    0xEEAE272D, 0xBE229841, 0xC18BFB88, 0xA6BB9B80, 0xBCF090E4,
+    0x24DB166C, 0xF9AB7E42, 0x62DF28D1, 0xC7004665, 0xE3F56FC6,
+    0x419E0C75, 0x46BE9F38, 0x2432B9B2, 0x758D83E0, 0xDCE12926,
+    0x3F57CB74, 0x1F4458E2, 0xF1DD639, 0x83A1FB49, 0x173AFC76,
+    0x86EF7531, 0x48D32F34, 0x7D3E3063, 0x8F2FB549, 0x5C314C9,
+    0x18CBEB6D, 0xA6F8B697, 0x447B9E9C, 0x2E32BA33, 0xD074D715,
+    0x81ACD746, 0xE55A4E04, 0x4891860F, 0x1DA3EB4F, 0xE0E6A27F,
+    0x20BFDEB4, 0xD0B3A25B, 0x40C10544, 0xC15656C, 0x15405EAE,
+    0x9858E3E1, 0xA36A9C4E, 0x88BD21F9, 0xAACF7A68, 0x773665E5,
+    0xCEDFDF66, 0x617A9610, 0x524FC968, 0xC2D086CD, 0x5F008079,
+    0x24DCA447, 0x6A4F5599, 0xB706CD4A, 0x1DE70608, 0xA33A2EE5,
+    0x137E488E, 0x98061B7B, 0x4079D69D, 0xA4A897D5, 0xC4CEC8F5,
+    0xD75F7883, 0x22406802, 0xF1AD70BB, 0x9D4ADD79, 0xBCBC7CE4,
+    0xB358C0D8, 0x85792E47, 0xA7ADAC05, 0x3D19EEAB, 0x331AC0AF,
+    0x33035831, 0x13D93987, 0xFC542094, 0x845F317E, 0xDDC4BF8B,
+    0x1379E50C, 0x5C20193F, 0xFDD58298, 0x9D482B82, 0x4A6BE062,
+    0xDC8A757B, 0x272917C1, 0x90E1EFBC, 0x355AD882, 0xE6F8EA35,
+    0x604555A1, 0x7DFFFBB, 0xF58AE216, 0x9A11B463, 0xD3541BAD,
+    0xA1576756, 0x483BED8D, 0x1F05AFCC, 0xCEA63DFB, 0x55B84677,
+    0xFB2E04F2, 0x787AF96C, 0x84A12CD3, 0x460A9BD, 0x9DB22DD8,
+    0x1A8C7F28, 0x861E452E, 0x932D3F78, 0x7652D852, 0x73357BBA,
+    0xEBBB0A58, 0x62536AFA, 0x3F6B65EF, 0x6DC57B58, 0x9EB798CE,
+    0xE6B0A740, 0xDFF68B47, 0x3247FB8F, 0xFFF3D302, 0xA9FD3E40,
+    0x475A43D1, 0x6FF9528A, 0x2018A09D, 0x47E0F9C9, 0x4CF5F6D3,
+    0x2807CE34, 0xDD6FD8ED, 0x234045D1, 0x51CEB5F9, 0x25297896,
+    0x6443A0FE, 0x8F4449A9, 0xD4C3E1C6, 0xF01D52F1, 0x4E09C820,
+    0xF18F0810, 0xE1548689, 0xF9DE5A1F, 0x5286DC23, 0x48AC3A4B,
+    0xEA0C1BE0, 0xA1B785DB, 0x7086465D, 0x1CC10929, 0x1E1D716E,
+    0xED231D4C, 0x2049D108, 0xB8FF9971, 0x949CF8D4, 0x441F1E8B,
+    0xC3D95372, 0x69C324B4, 0xA10BFDC9, 0xC781DE78, 0x82476137,
+    0xE163DDF, 0x390DEEC2, 0xAF68CE5B, 0x8E680ABD, 0x8223A615,
+    0x92593380, 0x7B1465FE, 0x865AE957, 0x930F53EB, 0xED772EF7,
+    0x10E916B6, 0xE3BCFA68, 0x2ACB80BB, 0xE51C5590, 0x994714B5,
+    0xF30984EE, 0x59BBE1B4, 0xB4867DBC, 0xB91C706C, 0xBC16C218,
+    0xA8931CD0, 0x129A66AB, 0x13171F4D, 0x62882872, 0x4B167FD4,
+    0xE6902F4C, 0xFA794932, 0xD4B152C, 0xB0856EA9, 0x39466D55,
+    0x3669E451, 0x8F5B9E8C, 0x877A3C6A, 0x51B956B4, 0x367EAD2A,
+    0x9D2C662A, 0x78FB6880, 0x4E6D40B6, 0x4070EFDC, 0x4DF9679C,
+    0x20306EDB, 0xE381AAE7, 0xA55DA748, 0x9B8B617B, 0x3E036FAD,
+    0x84E4C4A7, 0xD5A3F517, 0x669BA988, 0x98FDDE8C, 0x67BD85CE,
+    0x34BBB46C, 0x76994800, 0x85B9D8B6, 0x6DFA2FEF, 0x205DB5C,
+    0x9F843C4C, 0x72721B52, 0x73EF6B86, 0x5FB98B61, 0xC323DDAC,
+    0x31D424B4, 0xF68C0D7E, 0x162FAF9D, 0x7B2A7A99, 0xF9392693,
+    0xC42D12C0, 0x8692A73E, 0xD9A1EE80, 0xDD956856, 0x44E7BDAC,
+    0x8D874532, 0x5F5C9DD0, 0x5D167858, 0x8559FEA2, 0x9D821476,
+    0xD9654ED2, 0x594C0DC7, 0x1A87B506, 0x3F693200, 0x7A651AB5,
+    0xA0CCBC8A, 0x9F9E662C, 0x78EF631, 0x2A09DA0, 0xB088C72F,
+    0x92EE0D42, 0x360DCD5F, 0xF333FE48, 0x8D63CC06, 0x233A8ACB,
+    0x706651ED, 0x7AA5C079, 0x262239D1, 0x3EBBEBB6, 0xA25A4F3D,
+    0x32581A06, 0x6E6FD780, 0x5773F7C7, 0x75ED1DDC, 0x90DF2D15,
+    0xBC79A9BC, 0xB7175917, 0x354E381C, 0x762AADD7, 0xF643DAC1,
+    0xF3BBF49E, 0xD2FECE7E, 0x6C8140F4, 0xD7694875, 0x92D30822,
+    0xC742A7CF, 0xB792ED98, 0x121CFE24, 0xA04E1EE7, 0x58CE268,
+    0x215A080, 0x316CB323, 0xFAB14A31, 0xE1C13C03, 0xFD8EF4F1,
+    0xF3F446D0, 0x6C6CEA0A, 0xBBFDF9FB, 0x67242969, 0xBE55A4EB,
+    0x8FF5534, 0x52F0DF1C, 0x9710ADE3, 0xD40F4A21, 0x7984E8E7,
+    0x419545EB, 0x993F7880, 0xAB246B20, 0x408AABC4, 0xCBF6EA49,
+    0xC0894C55, 0x4CAA6398, 0xA47856E9, 0xAF2AE47D, 0x22F55D33,
+    0xF0D37915, 0xD0634C72, 0xD983671, 0x2BCC5AF8, 0x9A77D48,
+    0xC11B5CFA, 0xF107CD7E, 0x3A6B3593, 0xE1425F05, 0x6271812A,
+    0x5B838310, 0xBD8418CA, 0x10A58792, 0x239F7137, 0xA13D5071,
+    0x7F9930D4, 0xA462664F, 0x54180F8E, 0x291585BA, 0xE586B87A,
+    0x144B2C12, 0x98E425C7, 0xBAA4B373, 0x18F0D03C, 0x99462AC0,
+    0xD8B4D2EF, 0x72473895, 0xA6BF5435, 0xEDAD53B, 0xE0912FA6,
+    0x5C33F331, 0x3D93CD7, 0x4D03D752, 0x20699929, 0xB89962F9,
+    0x36E781E9, 0xF58B642C, 0x5FCA69E3, 0x5960A7F4, 0xAD5AAFD0,
+    0xDF18324A, 0x3DB1E5AA, 0x76BA3876, 0x1BC29AF6, 0xBCC18841,
+    0x73A60174, 0x625BFF58, 0x67C57724, 0x4458E53C, 0xE157B095,
+    0x2B370837, 0x83DF6CE3, 0xDD08EEFA, 0x3F52A7C2, 0x191B4785,
+    0x60843D82, 0xB0DE11F1, 0x105EA26C, 0x6E1C7AA2, 0x47AADD14,
+    0xB6676D03, 0x3B8D4DF6, 0x737A694, 0x409521DC, 0x744206A,
+    0xC722023F, 0x2BE4EAD5, 0x63E11D76, 0xCA4A09AB, 0x5CF2D2B9,
+    0x31586916, 0xCDFD7D84, 0xB203F634, 0xAD7329D4, 0xC524582F,
+    0x2E53E6C1, 0xBB0E019B, 0xB8538C6A, 0x6A2542D, 0x8A6A00E5,
+    0x119725CC, 0x5406D347, 0x1B6FFAF1, 0xECCF71F1, 0x981117F2,
+    0x7167CA76, 0x74F4B880, 0x77A55F47, 0x59EADB62, 0x4A331D95,
+    0xBCBBA76F, 0xA45C4D50, 0xC718D5, 0x87CE05D1, 0x60D47AD5,
+    0xA5CA9C40, 0xB0061766, 0xE69B39DF, 0xBD5F1320, 0x9930EAD3,
+    0xA8B38325, 0x8DD090F, 0x6A6EEF37, 0x2DF16F66, 0xAB514C7E,
+    0x31109C58, 0xFD48C7FC, 0x515341CA, 0x77AB8EA6, 0x41328DAF,
+    0xBAF8D31E, 0xA4B31611, 0xED37F331, 0x7A832A22, 0xA22591C7,
+    0x722D1F89, 0x3B19CF18, 0x261B8A4D, 0xC3F6F6DB, 0xCF8CED61,
+    0x990FA250, 0xA02E72A9, 0x560DCEA2, 0xB08E67B4, 0x3674E663,
+    0x97CC3852, 0xA7EB2EAC, 0xFFDE0AA8, 0xA64719A, 0x23269EDD,
+    0x3C0B339E, 0x86284D40, 0x48D82ECB, 0xA4D4CCF8, 0x43631B91,
+    0x4BF0C248, 0xB6497B9B, 0x6827BC58, 0xE30B7AF9, 0xA0CCBF26,
+    0x6C3B7B71, 0xD744B3ED, 0xFA25D2F6, 0x4CDE642D, 0xD65B8142,
+    0xA6F9207F, 0xE7A207BE, 0xDB506684, 0x44DA4780, 0x9175EA0C,
+    0x156104AF, 0x4155E1B0, 0x6E3A6886, 0x9DBA1EA2, 0x5423D9C8,
+    0xCC024E22, 0x758F852A, 0x1DD6395, 0x2D19CBAD, 0xE164F5A1,
+    0xC2084602, 0x89C274AD, 0x13CB5562, 0xD7FE2D5B, 0xE07A4EE5,
+    0x1672BA91, 0x4F624CCF, 0x2E5EA4A3, 0x28FEEFAF, 0xBDDA6EF4,
+    0x32AFD40C, 0x99A5FB3B, 0xDD1D73A3, 0xA342CB3E, 0xA78445F5,
+    0x53979C3B, 0x427D7943, 0x5221B58C, 0xA6CE9A5E, 0xFB50ECA4,
+    0xBB86E36E, 0x60839F6D, 0xC5E1C2F3, 0xA1B7FB04, 0xFBB65E0C,
+    0x78B80F5E, 0xFD8D972B, 0x3BF3BA90, 0x2D572D9, 0x2B5BC920,
+    0xB6A0DE01, 0xD274D306, 0xC7C6C855, 0x9CAA669B, 0xB04AA641,
+    0x4D6B1760, 0x3E17ED79, 0xD23241B0, 0xA4A6F957, 0xCBDE76AF,
+    0x4E5F9493, 0x4C215DA5, 0x33A052B, 0x1A4D80C2, 0x40AEEBCA,
+    0x390D106B, 0xE9E8E018, 0x5AF3D6CF, 0xE35E1D4, 0xC4FB1C6,
+    0x14B6299B, 0x8D2E25F0, 0xCCBF932A, 0xC5AC18B6, 0x2227567D,
+    0x86B5CE2F, 0x26344534, 0x22C515EC, 0x2442B70D, 0xEC3721C6,
+    0x34EF687D, 0x9C06323A, 0xEAF3EA60, 0x60396F52, 0xEAE78AA1,
+    0xC9D06CBC, 0x6F95F6C8, 0x584CC258, 0xBA9A27BB, 0x66DF8D47,
+    0x9D4804EA, 0x57DD9E67, 0xF89C7895, 0xF5336111, 0x25C122C8,
+    0x62742114, 0xCFBF6D26, 0xBF9F6482, 0xE6F02CD9, 0x11083202,
+    0xC99E2618, 0x7EBC9351, 0x440112F1, 0xC9DFFBC1, 0x3BF4DC25,
+    0xB1BA7FA0, 0x61AF9AED, 0x6B1F7D29, 0xAD865294, 0xE3E01129,
+    0x7E9E77A5, 0x100435D7, 0x9FE3A71, 0x88597C81, 0x722849FA,
+    0x31C5A0AF, 0xFBA178DC, 0x7F102D31, 0x5CA07864, 0x950E6F98,
+    0x82C34882, 0x5D041F11, 0x8C613C57, 0xD398CFD1, 0x426F38AD,
+    0x5599AB1D, 0xFAFA078D, 0xAB25B413, 0xD94B32CF, 0xB288FE38,
+    0x2893BB46, 0x9A0B4168, 0xA91BCA94, 0x653A5E8D, 0x2174EBBE,
+    0xDEFE6415, 0x30DA429C, 0xD0C5E40C, 0xB4719AA4, 0xD29CE7A6,
+    0x905957CD, 0xCD287499, 0x83CA0AA7, 0xA8385832, 0x25A0CA02,
+    0xC20D47A4, 0xB562F556, 0x4BC19E4C, 0xD9E215C7, 0x27E838B4,
+    0xC58612F4, 0xA2827F6F, 0xC49DCDBA, 0x679B7362, 0x4E495845,
+    0xCFD2F0D1, 0x395E76A0, 0x375A655E, 0x92E2058F, 0x73F9F0CA,
+    0x61EFF3B3, 0x51FFD362, 0xE7410345, 0x7FDA8B3B, 0xA219E2E8,
+    0x17ABE543, 0x26557412, 0x4B30084D, 0xA68E191D, 0xFE0D93DF,
+    0x73EF127D, 0x4DECDDB1, 0x77FAF45F, 0xD6002898, 0x92DD0A40,
+    0x157F6DDF, 0xC2A55F8E, 0x4359F924, 0xFB630C3F, 0x338B6B58,
+    0xB2945F75, 0x4FA23A0E, 0x836EB8C0, 0xB3B18FD, 0x86114337,
+    0x24668ACB, 0x99BB82F0, 0x924C8A47, 0xBA959701, 0x81155ABF,
+    0x8C612D71, 0x36074CA7, 0xD1668C41, 0xE35F58C7, 0x7FC2802D,
+    0x8E6A7CF3, 0x65B07D07, 0x815F6A6B, 0x791BF0DD, 0x6E47D719,
+    0xC24394C7, 0xE84A6EB, 0xF194AFEE, 0x464A2F52, 0x677579FD,
+    0xEBA775AE, 0x1F6EEFF, 0x9A795237, 0x78D9D45F, 0x9D0B344D,
+    0xBBD34AB7, 0x2F85B12A, 0x16C5C2AD, 0x3990985D, 0x88DF3351,
+    0x82811AA5, 0x6D351F41, 0x4066A69D, 0x86B660BF, 0x6EDB4768,
+    0xDDD78CF0, 0xB5D74F6E, 0xE89E220C, 0x91439687, 0x947CC9C9,
+    0x3857E2BD, 0x302F8AE4, 0x1DABE7F8, 0x4832D6C9, 0x37D58FCB,
+    0x4EA8A711, 0xCD7BAC98, 0x19DBF8BC, 0xD8DE8DC2, 0xEAFF7E7B,
+    0xB7629C93, 0x792C6E19, 0xF7009192, 0xFF88439D, 0x2E196A66,
+    0xEC71B78C, 0xEAF4BB3A, 0x7C16225E, 0x668F337, 0xCBEE1608,
+    0x6D5B5552, 0x345DC590, 0x681209CC, 0x7B24A819, 0xD08A1416,
+    0x99888FE3, 0x9FC7288A, 0x24BD8502, 0xEA1D9678, 0x20EECA0,
+    0x59BEA057, 0x5ADE91EB, 0xDEA8E49D, 0xFA200E6F, 0x9149C81D,
+    0xF2281E93, 0x8A5B0451, 0x67312D58, 0xE3B849F1, 0xD2217960,
+    0x7CDF59F3, 0x33C775C0, 0x9EBA8799, 0x7DF9506, 0xB4E96110,
+    0xB8FCF3E3, 0xDEA059B2, 0x8229B6EA, 0x316486F6, 0x43919185,
+    0x6C0D90F3, 0x1C6F3DF8, 0x38DB92A9, 0x5CD41244, 0x2C9F0A7B,
+    0xDF4A315F, 0xF7CE9C66, 0x4C800860, 0x318D53E0, 0xF105C20D,
+    0xD753E1F2, 0x750810BA, 0xA17ECCA5, 0x2010140, 0x4D884763,
+    0xC2BB0DA7, 0xB2D5BA74, 0x141CECD4, 0x887FDFC3, 0xC64B53,
+    0x2D2A85F6, 0x15532B45, 0x5D5CBCE1, 0xBEB9A16A, 0xA214611B,
+    0x9FC5AC5F, 0x11AE5DD7, 0xA0B9A5A9, 0xFC648AF4, 0x740009AC,
+    0xED0E0321, 0xB8E6A61, 0x8910C544, 0xC74F26C8, 0x9525CCF3,
+    0xB41AEB59, 0xE61984CE, 0x598B2197, 0xA412E59D, 0xE1976DD4,
+    0xB29BBE16, 0x88FD9FB0, 0xB04006F3, 0xB45E309, 0xD5CC15F1,
+    0xD9DAF630, 0xDC809335, 0x803ED52, 0xB537F5A5, 0xA994F6EB,
+    0xF5288568, 0xF66FD264, 0x2EA2B3A6, 0x647619F3, 0xFFB38C7A,
+    0x1BC03B9, 0xB6BC3061, 0xBF30596E, 0xBE2AD27B, 0x8AC04220,
+    0x641979A3, 0x9ECCBB89, 0xA144FBC1, 0x4E8FAE26, 0x8C5A9D90,
+    0x299ED467, 0xD7C9C7E3, 0x1D4865ED, 0x76F31C3D, 0xCEE81CDF,
+    0xB479195E, 0x6FFB3AE1, 0xDC8A398, 0x300F7364, 0xC7940AFA,
+    0x3B85BE3E, 0xD98CC40D, 0xA24A3D89, 0x3A674204, 0x22888A38,
+    0x2E77F2D, 0xA2841C9C, 0xCF0689C3, 0x9FE98922, 0x89335017,
+    0x2D6B69A7, 0xFEDB63F9, 0x899AF4EF, 0x9F9F9B40, 0xA4BE97E8,
+    0xA51DAF7A, 0x16AC50D3, 0xA8D7ED6, 0xED193443, 0x7615EF1B,
+    0xB0DF6A4E, 0x64FFE794, 0xE3DB2C9A, 0x7435B022, 0x556E825C,
+    0x23802AF9, 0xC25098A4, 0xE75A18BB, 0x70B2A7B9, 0x7FB81BF,
+    0x63EF910, 0x6C669591, 0x6574DD2B, 0xCF6E379D, 0xD2B3AFAC,
+    0x1E6A1101, 0x1DE22385, 0x2338191F, 0xC69704B6, 0xCBABC599,
+    0x54EB4809, 0x7839BE6D, 0xD50017DD, 0x39B1A0E1, 0x288D52D3,
+    0x2D52668C, 0x20D22A68, 0x4E1207D1, 0x3FCC0EFE, 0x47F3FE64,
+    0x25177A90, 0xB4BFDD4D, 0xDA8DBDCE, 0x6F7275A8, 0x6BEAA655,
+    0xAA1810FC, 0xE4DB593A, 0x8A4D4BC0, 0x2C402E93, 0xF1C0F7F9,
+    0x6F0CC577, 0x70412414, 0x752F9DC1, 0xD82E38EA, 0xAC455F7B,
+    0x4DCD4EDB, 0x92BC2696, 0xFB03F135, 0x4FCA1F8C, 0xBD5E75F6,
+    0x502F41B0, 0x3616D3F1, 0x2E5B8E31, 0x2026EB19, 0x57E783D7,
+    0x467BBE00, 0x4703ABA3, 0x1F776B9C, 0xE2570A84, 0xFEC7DB48,
+    0x1BD5012, 0xFD0A2D5D, 0x7FCC29F2, 0x291304B6, 0x99D5D8ED,
+    0xC7551C8, 0xFD12F38F, 0xBADE8892, 0xDF749997, 0xA5DAE2F,
+    0x2B9FA269, 0x5C13CFED, 0x15E9A399, 0x54437F4E, 0xA72DB2AB,
+    0x56186AA1, 0xFE4DB55C, 0xA34D7836, 0x2A879760, 0xC63FA94,
+    0xAC18B207, 0x5FC78B3, 0x7F10621E, 0xA769E6B2, 0xEC9F4A11,
+    0xCE3F982C, 0x62BA2EF5, 0xA5F239CD, 0x73D63FED, 0xE36E9F5E,
+    0x8AC1DA0E, 0x3F3DB3EB, 0x738326EA, 0x35C366B1, 0xCD476E86,
+    0x82F6B208, 0xF11A9FC1, 0x426AC396, 0x7E4D1B93, 0x75E4EDB7,
+    0xAF3C44A7, 0x51A5EF5C, 0xFAD2463D, 0x8A5639CA, 0xC995AC78,
+    0xCC4BE4F6, 0x3AFE7F8D, 0x66993D04, 0x4386FF37, 0xCBC1C6C2,
+    0x55A8F5EC, 0xE81A9A75, 0x30A67E1B, 0x4A4A7D0C, 0x20F7F993,
+    0x1891805, 0x738976AD, 0xD426E7D6, 0x3C5CEEBF, 0x4499187F,
+    0xABF17C97, 0x447C317F, 0x68D8419C, 0x7AAB6456, 0x421BCF29,
+    0xF6740F9C, 0x8916BB8D, 0x3D72AAB, 0x9AD54DD7, 0x7549C6EE,
+    0x7317342B, 0xA18546D4, 0x1056BDA7, 0x54BBCCCE, 0x8CE63E46,
+    0x5D146234, 0x33BE6C63, 0xB250C4E5, 0x89D72335, 0x87C36BA,
+    0xB65530CC, 0x2DFAC48C, 0x1663D16F, 0x59B80AA, 0x950274EA,
+    0x92532D4A, 0x3CEF802D, 0x492FBDA5, 0xA63A2574, 0xEF8005C2,
+    0x94A18651, 0xAF627ABA, 0x6829B238, 0xA698F646, 0xD2598516,
+    0x10144D36, 0xD9B1D1B9, 0xAB2ACF05, 0x5395B699, 0xA7851C75,
+    0x1806C6F3, 0xAE970306, 0x3284B145, 0x98F4FE8F, 0xECDD35CC,
+    0xDDC1EE0E, 0xC4848865, 0x925826BD, 0x4078BE39, 0x68A8561A,
+    0x323045DC, 0xA933B37F, 0xBA2AEE2E, 0x4F24F65D, 0x349EE246,
+    0xF97B9D0E, 0x46DC5759, 0x4529F425, 0x80D17B42, 0x8E16F709,
+    0x1B42206A, 0x4934A526, 0x391BB6DE, 0xB52EF45C, 0x26C30290,
+    0xCBA23CAA, 0xA501A8C3, 0xD922C4F8, 0xE8824E53, 0x6F4255DC,
+    0x5960B544, 0x58BC69D6, 0xCA936323, 0xFDDF053C, 0xC2E002D6,
+    0x7D750755, 0x8A3F9CD1, 0x35F8F6F8, 0xFB7BD154, 0x65CFF94F,
+    0x390A58DD, 0xD97C4093, 0x501CA2A3, 0x8EA5DEBC, 0xCA93461F,
+    0xE02D984C, 0x126F8517, 0x39FDD887, 0x46241AE9, 0x777E854D,
+    0xE2B36349, 0x58E3FA9F, 0x971DEF1E, 0x8E156228, 0xC0E14E9,
+    0xA9A01BE6, 0xB318C990, 0x971680D6, 0xA1F359CE, 0x487E23F4,
+    0x7DE465B0, 0x4E4C905E, 0x2A652959, 0x116FF167, 0x5C74AAB9,
+    0x4FEFC920, 0x28DF4EB8, 0x29EBF45A, 0x1E350CF6, 0x7134F224,
+    0x22CCF1B6, 0x3890ACCD, 0x9BC304F0, 0x7A37B14E, 0xF3724F9C,
+    0xDAC493BE, 0x504692EB, 0x82A56D75, 0x42BC73F0, 0xADA92177,
+    0x2D9D9FD2, 0x41D874F, 0xEFCFD8FE, 0x8E83A5A2, 0xB84AF0DA,
+    0x65F9B035, 0x6DF4EEE0, 0x7D403714, 0x1CCB8B3A, 0x25B30F14,
+    0x5384B044, 0xD21FB429, 0x2C407A2, 0x88622917, 0x92D49C25,
+    0x845AA406, 0x532D7675, 0xC0B7713D, 0x30E6933B, 0xD270DE3B,
+    0x78771A87, 0x1949A28, 0xAEC00040, 0x10A092F4, 0xBD9D5066,
+    0xDE166CB7, 0xE8ECE4D3, 0x867417C9, 0xCF0657E4, 0xD7D550F7,
+    0xCD472B6D, 0x8CD0F002, 0xD7D47B7C, 0xA2E5475F, 0x2B66B40,
+    0x397A7C9F, 0x6C4BC024, 0x9FDA402, 0xD981917E, 0xA3A6C8E,
+    0xC9A42042, 0xCF0D1D5B, 0x1A96C11B, 0x9271030B, 0x4BD5D13C,
+    0xCDA08C03, 0x1E4B3256, 0xDBB263E, 0x94B1E758, 0x5CF0232F,
+    0xC76F252E, 0x27FF7F55, 0xA55DC287, 0x72886B75, 0x38AA73C2,
+    0xA5759CFB, 0xF0A75C8C, 0x7059CBE3, 0x6519FBE2, 0x8C3B4162,
+    0x5A19A4DE, 0x9D93E753, 0xA9EDF8B5, 0xD68126CD, 0xEA6A7399,
+    0xA73005B4, 0x45BC5168, 0xABD166BA, 0x4D0CC0DF, 0xE1376FF9,
+    0x393FB309, 0xE995744E, 0xD5EF71BE, 0x66C2BF35, 0x88D62A85,
+    0x14121E08, 0x7006CE98, 0x7F0A7076, 0x7DB9C751, 0xDC7056CD,
+    0xC1517CD, 0x65BCE88, 0x1B0F1E71, 0x54C2DA11, 0x101BFDD8,
+    0x28096AAD, 0xC365859F, 0xACE13396, 0x7CB432BC, 0xB19EA011,
+    0xAD9BC7D2, 0x3AF387B1, 0xCCE30470, 0x5335FC46, 0x40D13C16,
+    0xD548B4CC, 0xC476A7BD, 0x66BC0663, 0xB7C6960F, 0x12D1E821,
+    0x9A536C48, 0x42641630, 0x740C9A48, 0xF61664E8, 0x3B11E69A,
+    0xBD79E1F1, 0x3F930B7D, 0xD98B085D, 0x2151962F, 0xD4D7F80E,
+    0x88975123, 0x5302989, 0x12F5CA2B, 0x37C29573, 0xD1D2A3A6,
+    0x46DA55DA, 0x2EC8C098, 0x802A42DF, 0xD07A11E5, 0xD5BF4B16,
+    0x171BCB96, 0xB5843001, 0x57BDCAA7, 0xDDD36F33, 0x633D0AA0,
+    0x313B7064, 0x68BD30CE, 0xC986B6C3, 0x2271824F, 0x9951E552,
+    0x15939472, 0xDC668F83, 0x1D98A441, 0xA4A1676, 0x631C444B,
+    0x6EB61C7C, 0x8EEE0B5E, 0x23F82C1F, 0x6C4B53C1, 0x41116D6,
+    0xEBC1627A, 0xC8839049, 0x7F07A8F6, 0xD1F74661, 0x7D9892DD,
+    0xF010EC90, 0x37C8A4F4, 0x6ABA986E, 0x68B1E4F6, 0x8066EE05,
+    0x5E964158, 0x88D477A6, 0x776CF1E1, 0xB7AB3B60, 0x183D58C0,
+    0xA7E13F2F, 0xDD435AD0, 0xF37DF46E, 0xD3F3F774, 0xB6B24A9A,
+    0xC097D9F2, 0x54EE718C, 0x4469BDB, 0x4F20DAC, 0xB4002AD5,
+    0x2E7AB56, 0xCDB4B18C, 0xF2ACE62D, 0x54BD40DE, 0x46DCCA2,
+    0x5B7F32F9, 0xA8CB257D, 0xB138C149, 0x71474D19, 0x6F71C293,
+    0xD88FBC7D, 0x9E0A7F86, 0x14B92605, 0x1CBACDC, 0x29159263,
+    0xBB719E18, 0xD41B37EE, 0xA236E27E, 0xE916BAE3, 0xED34D9DA,
+    0xFDDE09B6, 0x4FE72C56, 0x16927460, 0x8CFFF9A, 0xA9465741,
+    0x2B1CD6E0, 0x6BA277FD, 0xE06F70EC, 0x7CB2715, 0xFEDC13C8,
+    0x7049632E, 0xC6448831, 0xF72CA3A, 0x9B2BE231, 0xC16A8438,
+    0x948EB7E, 0x64041803, 0x82A43295, 0x226D95CE, 0x84AFC1EE,
+    0xB2EF3B82, 0xAC18A45C, 0x74DE3ADE, 0xD0E6FAD4, 0xE10C242E,
+    0x797DF7BA, 0x812CD7B8, 0xED45B681, 0x8F6CCDE8, 0xC2376DFF,
+    0xCABE35D6, 0xD450395B, 0x13493CE3, 0x870E1BF5, 0x7B0BF341,
+    0xEBD572F2, 0xAE22B3F1, 0x7ED22DF8, 0xEFE826ED, 0xF147F4BD,
+    0xA12DA6F2, 0xF3871967, 0xE4423B70, 0x298472D9, 0x45E03E3D,
+    0x2BE705AC, 0x41E3AE6C, 0xA29DF92C, 0x54B33739, 0x8EA8F7A9,
+    0xDEFF7BC9, 0x77D06961, 0x71981BA1, 0xBA5A5647, 0x4A8E0E2E,
+    0x9F519F5D, 0x31BBA940, 0x3D3A0532, 0x7090F0AD, 0x8B47D658,
+    0x8D198BAF, 0x9ED929B6, 0x323BB81, 0x97210404, 0x7B8790DA,
+    0xD8438C25, 0xDFBB1C93, 0x2C3F415B, 0x14738C42, 0xB46C2C7A,
+    0xA3627CAB, 0xFC540D08, 0xE8227979, 0x672B87FE, 0xB257C949,
+    0x9C2B31FF, 0x97AAACA8, 0xC662B448, 0x5BFEFC7C, 0xC2FDEDDE,
+    0xAD306CED, 0x639A2576, 0x9ECC1378, 0xA72D71B3, 0x94E11CDB,
+    0x8BF14832, 0x945C1728, 0x49AE595B, 0x526DD500, 0x40A7D344,
+    0x8EB1DA34, 0x731E17C5, 0xA7CF41A4, 0xCB068104, 0xC842B8E,
+    0x7F5733E1, 0xAC9CB3B, 0x2E3F58C0, 0xFD8BC4F, 0xFFBCBBAA,
+    0x620248F9, 0x27AC344D, 0xF2E5958B, 0x773EBC3A, 0xEA6078F7,
+    0x6B32D1D7, 0xC00DF984, 0xE73C86AA, 0x712026DB, 0x2CE271FF,
+    0x38578573, 0x816605D0, 0x673509A9, 0x8D693AC8, 0x2533C371,
+    0x6783E269, 0xC5731F9, 0xF2A8041E, 0xBB3C008F, 0x2B290D9A,
+    0x122A4BA4, 0x645A69B, 0xB86CC256, 0x9369B8C3, 0x90CF4CEB,
+    0x573005D0, 0x4F7DB793, 0xD6AC972E, 0x178BFB66, 0xC430DCEE,
+    0xD1A8138B, 0xBF6EC4C8, 0x693E6FAF, 0x54119B44, 0x9C904669,
+    0x4D95F608, 0xDB59E550, 0xD85DDBBC, 0xD15818AE, 0x680778D8,
+    0x3B67A234, 0xEBE9DAF3, 0xEB8E049B, 0xDD9E0EB8, 0x5D4FB1FB,
+    0xCEA62C1C, 0x948AF719, 0xA7E58E36, 0x800EAD97, 0xCD895A65,
+    0x72E63F92, 0xA9A82DD3, 0x8CC07793, 0xE70EBE82, 0x1F69534,
+    0xAB727A31, 0x1582EF9, 0x7247F677, 0x5FFD7E2C, 0x950EA9DF,
+    0xFF38A172, 0xDD75DB84, 0x3A416207, 0xD6A23DA7, 0x3BBE70D0,
+    0x538C25CA, 0x2958DF9, 0xD7B9C83E, 0x61F35964, 0x1E05B36,
+    0xDD57CDCF, 0x997335B, 0x3A65762A, 0xC5836CD0, 0x9EF2B7F1,
+    0x5094196, 0x6949A654, 0xB7FD3E5D, 0x6070C271, 0x30364C38,
+    0xDCAFFFA5, 0xCD4ED281, 0x9865FE7C, 0x75F665AD, 0x6ABADB10,
+    0xAB43129, 0x26B7A5B8, 0xA321DDBD, 0x467AD732, 0x153A1AE,
+    0xAD6B1842, 0xBE19B6BE, 0xC1E22C82, 0x73372EA5, 0xF9EF4AD7,
+    0x24C81977, 0xD8451807, 0xCD10ADC8, 0x8FBD95E2, 0xE0789969,
+    0xC77A80F2, 0xF1165BCE, 0x3488C653, 0x16F3E378, 0x8D71B29A,
+    0x628EC98A, 0x40963234, 0xF918E028, 0x9A584D33, 0xC174E2FE,
+    0x417C5145, 0x1C751175, 0xB21E0C12, 0x30218ECC, 0x9D7731BD,
+    0xA07DBA0F, 0xE7504D39, 0x3E37F16B, 0xD3BAB050, 0x6F3DE64,
+    0x1998A7BA, 0xA61A6D07, 0x424FBED7, 0xCD6B3236, 0x68E71248,
+    0x58CC3DFB, 0x584FA4F5, 0xFFE8E2BD, 0x9F0E3D75, 0x788DD779,
+    0x978ED891, 0x7E1BFFC8, 0xB812A1C9, 0x5CCC1A32, 0xF1A47219,
+    0xD6BA6E71, 0xAFA86EB5, 0x28D128E2, 0x9EDD53B, 0x9AAB7E9C,
+    0x493B76F2, 0x31C5C89, 0xCE5FC3B6, 0x974CC3F5, 0xCBBD90FB,
+    0x61DE988E, 0x99B927CB, 0x972EFCCD, 0x2719AD6, 0xE06E4B29,
+    0x48215B1, 0x37EDE8E4, 0xABF9F87F, 0x8BC1C626, 0x5B19EC05,
+    0x212A2AE1, 0x28446975, 0x20D04126, 0xFC453267, 0x967D9524,
+    0xDF1CDF8, 0xFB17DCA3, 0x11E68AC6, 0x3AD7D667, 0xD133EF43,
+    0x5EC41DA3, 0x587AA639, 0x17ADAE3, 0x816DF77A, 0x37D0726A,
+    0x49DC33D9, 0x6C9737E, 0xA6A2F950, 0xEC5F352C, 0x50D1E06D,
+    0xC10009A6, 0x2F70F8BE, 0x382269B1, 0x4C29E7CB, 0xBD474FF3,
+    0xD19A4F6, 0xC3CCE458, 0xE09B348, 0xD15A0DC5, 0x1C10D20E,
+    0x4AFDED15, 0x3C109DC1, 0xD8C117F5, 0xB501DDF5, 0x39C92B5F,
+    0xE76FCA13, 0x76DBAA1B, 0xB0730EBF, 0x67DD1FBC, 0xD8B87AB6,
+    0xA826225B, 0xAB2F7089, 0x499FA36D, 0xF26455B, 0xDC79F8EF,
+    0x987E765E, 0xA13E60C7, 0x500C7803, 0x492C871D, 0x970DE4EE,
+    0xD1423DC1, 0xB66048A3, 0x804895AB, 0xC079A15F, 0x5E6FD682,
+    0xE936476E, 0x8DECE38F, 0x76A011D, 0x53575B91, 0xB263D36A,
+    0x8F2624C1, 0x26B34937, 0x75A7EC2F, 0xE33ED24, 0xBF1BE7C7,
+    0x8D6BA785, 0x1D9FE802, 0xB8F4EC20, 0xD5C714B2, 0xC1326D06,
+    0xFCA78B3F, 0xC0065015, 0xA4B9F286, 0x53F92A8B, 0xF4B02DBB,
+    0xEC47E64C, 0xA29FFB12, 0xBA94FFB2, 0xB6980EB2, 0x7415C83F,
+    0x93F91A24, 0x4C6F7615, 0x34431174, 0xC7D63B4, 0xB1599158,
+    0xA3A01FCE, 0xBD477764, 0x6B16EC41, 0x772D8BF5, 0x90F0A785,
+    0x8F72672C, 0x7AD22CDC, 0x70824998, 0x1BED16D5, 0x596E84FF,
+    0x48B5B4F4, 0xB20D0B81, 0xF00F7AFF, 0x80F618DA, 0xD10AFE11,
+    0xA8EA3109, 0x91BA5E43, 0x31345A01, 0xEB0EF0F8, 0xCC6E7FB5,
+    0x3348AE52, 0xEBB124D9, 0x447E58B1, 0xF2A3D592, 0x7F3EE5D8,
+    0xD3D7B836, 0x9C98DCD4, 0x27F0B7A0, 0xA9655FD9, 0xAB48E5F8,
+    0x7F996D8E, 0xAC13B08B, 0x2530AC6D, 0xAA542552, 0xD4E6B42A,
+    0x6432AA64, 0xEAC84F76, 0x41D5F959, 0xCDE91DDF, 0xA0AA485A,
+    0x6453698, 0x277C18A4, 0x161A497, 0x66FECAE2, 0x1B64683,
+    0x948DD228, 0x1F3C5950, 0xFFC271FB, 0x15C4DF12, 0x7C78252B,
+    0x9D4EBB89, 0xE6FA1D49, 0x6B032100, 0xB65DD3CC, 0x106BC9B5,
+    0xE0223D45, 0xF7779B03, 0x4B0EA0C2, 0x3CB5AAF2, 0x9A458E5F,
+    0x524090ED, 0x3BB1F18F, 0xB4DD065E, 0xA8F13E4F, 0xC4949ABB,
+    0xD8142D31, 0x99069DE6, 0x989D2A16, 0xC72D929, 0xA2AC5754,
+    0x7E29B714, 0x6E25C15F, 0xE8777078, 0x467DDCEA, 0xF94B2ACB,
+    0xDF429476, 0x69AE316, 0x363C664D, 0x85D6AA1E, 0xD727E39E,
+    0x5AF440A3, 0x2F0BB16D, 0x461D52D, 0x610559B6, 0xC28066D9,
+    0x3C13AE61, 0xA965B865, 0x2BCE3D4A, 0x361C4848, 0x46B94657,
+    0xF2AE634D, 0xD7FD4B8B, 0x70C175D8, 0x33128DF, 0xB9718A3B,
+    0x8EF80C0F, 0xAB12E738, 0x124B8055, 0x43448325, 0x9F05E427,
+    0xA0A9F843, 0x57A9A3FA, 0x492EEA32, 0xE73D2B18, 0xF3113C2C,
+    0x2BA9B42D, 0xFF0B320, 0x3A18CD71, 0x59804367, 0xC37F9B87,
+    0xB8A990, 0xAFE9F267, 0x1892892B, 0x25B9C66D, 0x52D4056E,
+    0xCC1508CA, 0xAD213DB2, 0x8B43F743, 0xAA9705AD, 0x9BC756A2,
+    0x43F42526, 0x596FEE87, 0x2B8AFF32, 0x46DEDB48, 0xBF06317C,
+    0x876D4CF2, 0x16951456, 0x2B051AFD, 0xFD093E9D, 0x2F113180,
+    0x77BFC4C0, 0x29200C52, 0x182D384E, 0x54AE29E0, 0xF90961E8,
+    0x6072B8F8, 0x3D346F4E, 0x9AA5DBA4, 0xE5E22EC6, 0x392170DA,
+    0x40939B9B, 0x65B89151, 0xC54AB94, 0xAD7280BC, 0xA3D4395E,
+    0x3B5754D2, 0x9E77A6A2, 0x9A737F56, 0x9B2D432D, 0x8FDDA7E7,
+    0x5958516E, 0x7F52CD74, 0xC1761A50, 0x2B80C01F, 0x5AA99F54,
+    0x36FAA395, 0x5DB4B3AD, 0x82024C73, 0x988CEFE0, 0xB44498C0,
+    0xF9561A4, 0x280470E6, 0x6966F3A0, 0x47E374F4, 0xF00F4CFF,
+    0xBC5C4DB2, 0xE287924F, 0x1ED57369, 0x484FE06D, 0xE92E6564,
+    0x7429DAD2, 0x1473AF49, 0x9619E0CD, 0xE6EC2B63, 0xF7A983B5,
+    0xEC43C28F, 0x4C98EBE7, 0xA61FDF89, 0xA867E5ED, 0x1088A7C,
+    0xCF1CEAE8, 0x223AA207, 0x686F4F7B, 0xEBB013E1, 0xDDC01886,
+    0x77478D4E, 0x2FFCEAEB, 0xFCA58846, 0x1208668E, 0x32F8252,
+    0x65C9F3ED, 0xC7584B2F, 0xF3EB26B2, 0x90890270, 0x5D97ED04,
+    0xF5B5B18A, 0xCF415DF9, 0x4CF4683F, 0xE2E3F29F, 0x850E4BEF,
+    0xDBABF6E2, 0xBD183286, 0x2F36215C, 0xD8CA1DD3, 0x4309CC6F,
+    0x9FA52446, 0xBD94348E, 0x8693D9B6, 0x61E880C2, 0xA1851D5E,
+    0xAAB94F80, 0xF8919C00, 0x74D82ECA, 0x4466A1B6, 0xA0A98E8C,
+    0x95B6D1D, 0xE5393A4C, 0x5A40CFFB, 0x67013370, 0x571B0FDA,
+    0x9E7E805C, 0x15E32653, 0x2CFE7902, 0xA02E0906, 0xA8883783,
+    0x7A68B719, 0x3402833A, 0x68BFD324, 0xE0B43DA3, 0xF9DB0F,
+    0xC9510610, 0x690D30B, 0xE79AB417, 0xC917E4C0, 0x7B05CE55,
+    0xE116EFDB, 0x69E3B158, 0xF91ED58D, 0x1832D16A, 0x91F4EA17,
+    0x3D24C408, 0x76A2C6D0, 0x99B19825, 0x2BF52475, 0xAD49289D,
+    0x66238CD7, 0xAC1571F5, 0xA2EABC02, 0x889337AE, 0x3219AFFB,
+    0x104B8779, 0x810488A8, 0xAC35416A, 0x2C6DEF85, 0x2ED109F5,
+    0xCC8C6732, 0x97CD8E90, 0x339F3E81, 0x91486206, 0x2708D41D,
+    0x1F2B19A7, 0x51A60303, 0x5E90E440, 0xB63092C8, 0xF1031823,
+    0x971A06, 0xB624F6A2, 0x58AC0181, 0xA983D599, 0xA776D877,
+    0xB727FE1, 0x55AC01B1, 0x4298EA17, 0x4D6BB9AA, 0x31C55C65,
+    0x6A266780, 0x4FD92256, 0x817DB37A, 0x46A14DF1, 0xEC7D9F14,
+    0x98D1C1B7, 0x911DF80D, 0xBFBF24E1, 0x9B4DBC6A, 0xE1F71BA4,
+    0x9EE5E44A, 0xD1868C4C, 0x6FB45D76, 0x11EC8672, 0x1CED7F0C,
+    0x1524A040, 0xA49DE9D3, 0x99FF328A, 0xC392F619, 0x52A856CC,
+    0xDB0B0AE6, 0x67F0162E, 0x2C20D410, 0x4E23C4D, 0x828032EA,
+    0xC2E7DFFA, 0x908CF524, 0x919F61EE, 0xF001C6F, 0xA81DDF65,
+    0x5EC56647, 0x28385ACF, 0xBDD764C0, 0x75C853AB, 0xDF0ADD73,
+    0xEEA9C63D, 0x804949F5, 0x658ACD0A, 0xD12F3F50, 0x1FD4F7EE,
+    0x7F023D80, 0xD2CB08B5, 0x477EA9A1, 0x872DB719, 0x7B8B6AE9,
+    0x84F6AC4, 0x81634EB4, 0xD1A89CF, 0xB3F4F3B9, 0x3A6B024B,
+    0xAA2CA2C5, 0x9C902C0C, 0xC40E4135, 0x3C6E612F, 0x11219414,
+    0x1F184277, 0x11B6B30C, 0xDD8A6A5A, 0xA0D21C9D, 0x55377022,
+    0xD0708FBD, 0x8D761020, 0x54FCFCFC, 0x477801BD, 0xD6919EB8,
+    0x9AD29078, 0x36F8D9B8, 0xAE525B8C, 0xCA7ED140, 0x2D8F8B97,
+    0xD1B79EAA, 0x2E26FB2A, 0xFB396E32, 0x399129A3, 0x28B55FA1,
+    0x2ECB2CF0, 0xDF1CBF7C, 0xDE57A70D, 0x33410B33, 0x7C5759BF,
+    0xF534264B, 0x16C8C221, 0x874A3A63, 0xD05808ED, 0x679674BC,
+    0x24B060C9, 0x4B162B53, 0xC7D01208, 0xE753DE61, 0xFA9840E4,
+    0xA4FEC439, 0x4143E13F, 0x327E9EE8, 0x319D901E, 0xC40FC209,
+    0xB1E1FFFC, 0xE737D52B, 0xD074E058, 0xAD8892EE, 0x86B93396,
+    0x49C13F4B, 0x60A5721C, 0xD4C4F599, 0x14B38EBB, 0x86BA655,
+    0x95F4E0C, 0x4217E99A, 0xD0CA3861, 0xBDD3617B, 0xB0BDBF4D,
+    0x99E3389A, 0x8200DCFA, 0xEC22C8AC, 0xBA8DDB32, 0x3F7DDFC8,
+    0xC7DDC171, 0x211CF31, 0xCC31A0C7, 0x99A84F32, 0xC9FFD317,
+    0x2267733A, 0xFBD05569, 0x306BC05F, 0x6E2685D5, 0x43FBF7D1,
+    0x5A2DB2D3, 0xE6491D4B, 0xAD078066, 0x7CAF7AAD, 0x2B1FEBA5,
+    0x3418A0EC, 0xC359E9B7, 0xB024E024, 0x58F22A6B, 0x18EEE710,
+    0x4755B9C5, 0x528D3273, 0xC8F9255, 0x635E5F9D, 0xABDF5BAD,
+    0x8410F054, 0xEA068528, 0x438345EB, 0x56EF340, 0xBD86A7DE,
+    0x543A126A, 0x5F259D83, 0x67EDA87A, 0xFF24F98E, 0x684E6504,
+    0xE4EB57B, 0xD2D3B758, 0x4474D10F, 0xA94594B7, 0x3E4BEB07,
+    0x95C3F257, 0x478B6FA8, 0xBCC7EFD8, 0x1023D258, 0xB4ACD6C0,
+    0x36129B10, 0x16D7D9A3, 0xEA63BE7E, 0x25EC12A1, 0x21B95589,
+    0x3A673799, 0xB8E04594, 0xAE98693C, 0x9879B8F9, 0x601A3F62,
+    0xCF9897C0, 0x87CD1798, 0x629788F1, 0xC1337B31, 0x59D84E67,
+    0xF13FA484, 0x5E8C7B3F, 0x7DEDE9F6, 0x9779F496, 0x74C4EE89,
+    0xB3D9AC8F, 0x44118EFC, 0xB4FE8E45, 0xC9934560, 0x93D739E8,
+    0xCD013773, 0x102411F1, 0x9DB63EFB, 0x63165875, 0xB8B97E98,
+    0x6B4223D0, 0x6F34352B, 0xDB038A46, 0xC187163E, 0x17FE20D8,
+    0x82A1BC9F, 0xB6860AAF, 0x11D5F9E0, 0x5371E14E, 0x20BC8445,
+    0x607589A0, 0x8DDCCF44, 0xCDCD53C2, 0xCBCB32D8, 0xC512E661,
+    0x1EB4E6CE, 0x228E99A0, 0x28EE0177, 0x76ED3F3D, 0xA3DA3300,
+    0x17C57F91, 0xA1855C6, 0x3531FA3, 0xA93A8241, 0xC45D540C,
+    0x365D42EF, 0x2CA39696, 0xE460F7D1, 0xCA32CCB3, 0xA6D9D934,
+    0xAD01079C, 0x9B07D89C, 0x226CE0A5, 0x60D67762, 0xD35A4B7B,
+    0xFF0A698F, 0xDB73BF89, 0xF41FBA9A, 0xCACDF26D, 0xBF594213,
+    0xCD4D3E90, 0xD12F3EB8, 0xE689D238, 0x8CD4C0CA, 0xEB3E841E,
+    0xA513EF0F, 0x2DF4B65D, 0x90161625, 0x9C02AC36, 0x208F328D,
+    0x12BF5D93, 0x7C8C355C, 0x3CDFCA22, 0x29381080, 0x3FF6CA14,
+    0x9F269C74, 0x8A48070B, 0x3BDF51BD, 0x85932156, 0xA7B6F9FF,
+    0x80554507, 0x43820D97, 0x59B7214A, 0xFC3ECC27, 0xED39DB19,
+    0x2B9BDB43, 0xABD4E298, 0xC2C5953E, 0xD3DB0C09, 0x66EC81DA,
+    0x7F41EDE1, 0x5146E8D7, 0x49171DF2, 0xB334BF9A, 0x3AADC9E6,
+    0x56E12468, 0xA2D4B032, 0x662B1F49, 0x9C448B1F, 0xA219526C,
+    0x56D66A27, 0x41609345, 0x8E685EFA, 0x392DA3A4, 0xDE58C26B,
+    0x9C779FC9, 0xCA834F65, 0xA1E34DC4, 0xEC5BE6EA, 0x3737B7AB,
+    0x2E9B7D0A, 0x929E96B9, 0xE38B0019, 0xC1E4115B, 0xD8141740,
+    0x66977F67, 0x7D4CE4B3, 0x245AB554, 0x26F98B88, 0xEC78F24D,
+    0xE1F34C1A, 0x5737AD34, 0xC1A19AC6, 0x3291E363, 0x4E824FF3,
+    0xAC42BDF3, 0x7C2DACE8, 0x8D5C97F6, 0xD120875, 0xC4E5C39D,
+    0xE22AE85D, 0x290FF39D, 0xD495E52A, 0x95414374, 0xD65757A6,
+    0x1E7657F9, 0xF5073D56, 0xC2AA7589, 0xC166A0B3, 0xA0DF8CDE,
+    0x4057EAE5, 0xBAC4DD2F, 0xB51F621F, 0xA96F90E3, 0x392B5D6F,
+    0xC31E9CA1, 0xCCC02FD3, 0x5181074, 0x7BC15C18, 0xCA9232A4,
+    0xD1D104E9, 0x5F0C5D3, 0x4947F6D2, 0x3C923E97, 0x6B486C35,
+    0x9C8ADA96, 0x175C4D87, 0x39A1A0FE, 0x417F201B, 0xD080E114,
+    0x4847B147, 0xFD634E49, 0xBC0BF4CA, 0xECABB1DF, 0x869B0263,
+    0xCD797C28, 0xD2A4683, 0xD50F6A0B, 0x2CA40138, 0x8DA4EB55,
+    0x5D198E5A, 0xA98DB40D, 0x96CA0E68, 0xA8D92294, 0xC4813E60,
+    0x81CD6B09, 0xEBBEBF80, 0x6777688, 0xCDAF6EC5, 0xEB85653E,
+    0x3BB780DD, 0x73718A21, 0x70E8A324, 0x654DE06A, 0x2CB2494A,
+    0xFC1DA829, 0x64059A2F, 0x61CE9D0D, 0x5BC51CAB, 0xDF7DE6AE,
+    0x1596B477, 0xB0F9EA86, 0x9D87D85B, 0x877620A7, 0x586F3AD6,
+    0x96AE645E, 0x65E9D5D7, 0xDB69CEB, 0x2753EF35, 0xC226F633,
+    0xBD373F9D, 0xF2A0E198, 0x4372EEC3, 0xA66F7010, 0xD30E1D18,
+    0x152C0DFB, 0xEB86FC75, 0xC208FE7E, 0xB36625A4, 0xBBE2DE8,
+    0xEC49F9C9, 0xCE724FFE, 0x2D509471, 0xCA6C24B6, 0x1BA93DDF,
+    0xEABE9550, 0xB512D359, 0x83F76766, 0xC8267976, 0x7E50802B,
+    0xE3EC2199, 0xD3269B8E, 0xC515B0CE, 0xB5752537, 0x70474BD,
+    0x7F50EBE, 0xF9FC0B38, 0xD899D19C, 0x317AA41D, 0x6B706374,
+    0x66479538, 0x560455A3, 0xD770DD85, 0x55BB61BD, 0x6DE6723A,
+    0x3F89034B, 0x9C9650BC, 0xE569992C, 0x7B8F4D95, 0x3FB7C516,
+    0x7C28C04B, 0xA12DE6B9, 0x8CFC5AFE, 0xA734A25A, 0xCF1483E8,
+    0x1AB22339, 0xAA94F43F, 0x16319A1E, 0x2C9AA4D0, 0xE9D2618,
+    0x790B699B, 0x3AD9C3A1, 0x55A778DA, 0x6517152F, 0x2139AB74,
+    0x12F762CC, 0x4BE02E6F, 0xE69400F7, 0xDC48DCD0, 0x563DB028,
+    0x32299125, 0x7C9145A9, 0xFB88067B, 0xF070F6FF, 0x3D9A42FF,
+    0xC5D20DC, 0xF96F7EE1, 0xA9C209A3, 0x9A192F36, 0x3E158AD,
+    0x1265DF79, 0x2E49E297, 0x99D3A002, 0xE6AFDDCB, 0x3B56751D,
+    0xB248A31F, 0xE6BE0FFD, 0xBBAB635E, 0xB383C45C, 0xA9DC9F2D,
+    0x735CE03F, 0x69992E32, 0xD1E6A77, 0xE38A7F46, 0xC1E59620,
+    0xFAE7F99A, 0xBDFB440C, 0x9F53F99C, 0x224EA340, 0xAB5D1AF0,
+    0x35F3126D, 0x99430549, 0x83E12C62, 0x6403957B, 0x7B119103,
+    0xC8382BAB, 0x99A85991, 0x9BF370AF, 0xDFA83CAF, 0xDBEC2CC3,
+    0x416D8EBA, 0x774E58FF, 0x29C222F, 0x3DE60561, 0xDF038931,
+    0x8297C377, 0x9867C08, 0x58ADEAED, 0xD88F0856, 0x6E4C2A39,
+    0x2599DF28, 0xD7A6D06A, 0x433B35BE, 0xDAD3175B, 0xC358D423,
+    0x84BF4580, 0xE7D3BE65, 0x9EC8CDBA, 0xCE901946, 0xC4B4D088,
+    0x98B1245D, 0xFBB0CC10, 0xE8CB9C76, 0xDE665AF2, 0x28E46D8B,
+    0xF7012A56, 0xE29F8C07, 0x8BF87AFB, 0x2907C051, 0x820923CB,
+    0xC3E95542, 0x6AB5559E, 0x314BD068, 0x1CEB5637, 0xD1D830D,
+    0xC442D6C2, 0x5F6074F4, 0x37F08A2A, 0x21F782BE, 0xF378B1AE,
+    0xB7FC74DA, 0x4ACB450F, 0x365F3092, 0xFB0C842C, 0x5DD80554,
+    0x741C4F79, 0x290716E0, 0x76E56BA9, 0x10006310, 0x42A183C7,
+    0x5F1FB962, 0x8DE2BA39, 0x6176B6D9, 0xFC059A44, 0x9907DE39,
+    0x71A5EA7B, 0x42309616, 0x1DDE34DD, 0xF0DFA4BF, 0xF69B5E2F,
+    0xD145268, 0x49A3E7B, 0x90508840, 0x861DE564, 0x904730CB,
+    0xC844CD6F, 0xD5A2CEB6, 0xCE895F0D, 0x73EEE4D6, 0xEB4565CF,
+    0x533ED4ED, 0xF4AAB655, 0x591BC278, 0xBD1D929D, 0x80AD7DA6,
+    0x527B3C51, 0x40F627DD, 0xDA420FFD, 0xB9A6F685, 0x5F6D9BC2,
+    0x4F67DE58, 0xFB5F87F0, 0x47540936, 0xB2083BC8, 0xAD48DD69,
+    0x63F7CA5A, 0x28D5372D, 0x61DA54B0, 0x7DA88170, 0xA2DA7B83,
+    0xE1D70E32, 0xA3ADEA46, 0x97026868, 0x60FA4303, 0xA4104416,
+    0x3DB4A8CC, 0x72F0F53B, 0xFF270297, 0xD5600E97, 0xD7D25D62,
+    0x46DBCAC5, 0xFD61775D, 0x93E100DB, 0xBFE0E0C0, 0x8CE51426,
+    0x8216C272, 0xE7300A56, 0x5A61C30E, 0xA7667C78, 0xBD23D39B,
+    0xDC425756, 0x7AE9A42B, 0x249E8C42, 0xABB91D5C, 0xBD1334D5,
+    0x8BCE967D, 0x5CF89EEA, 0xDB125339, 0x225E3C4C, 0xC5DDA12,
+    0xA92903F8, 0xF2F29634, 0xD2AB3419, 0x396DAE59, 0xA02C965E,
+    0x450B8DEF, 0x1E4911B2, 0x4F94BA94, 0x6802E7C0, 0x779671B7,
+    0xC0B06A93, 0x65BF0119, 0x3D672B7F, 0xE7E68CA, 0xF173FBF,
+    0x503C50F4, 0x3D8CA779, 0xD9BC10B2, 0xE6B89F78, 0xFC04B6F2,
+    0x74B0E1B4, 0x3BB8594A, 0x5866C0E6, 0x125FBE40, 0x21239465,
+    0xC00E2791, 0xD7957B76, 0x331D18CA, 0x87D0C340, 0x8D7347DF,
+    0x296D2AA1, 0x8EAA71DF, 0x1D477388, 0x4F666705, 0x211D2B0D,
+    0xA41C0741, 0xD8F7CEEC, 0x4C6EDC5E, 0xFE5DC02A, 0xAA83AED3,
+    0x9AE501A6, 0xFF82168C, 0xDC638114, 0x4C345BA0, 0xDD7E0F1D,
+    0x4C072ABD, 0xFF606768, 0x3CE74279, 0x93DED13D, 0xAB7A9752,
+    0xAF27666, 0x784EDE4F, 0x7F4BE8A7, 0x9A45141D, 0x69E507FF,
+    0x78BAC3AC, 0xDB2A62AC, 0x52561515, 0xA9DFA9A8, 0xCC51778C,
+    0x886CC6A, 0x5246AD23, 0x68A7480, 0xBC267A85, 0x1FF771F4,
+    0x5199BC1E, 0xF8CCD05A, 0x7BD65764, 0xC61A33FA, 0xC9F24B8E,
+    0xBC0B1D9F, 0xE43E103, 0xBE3D7AAF, 0x39154AD2, 0x941C2098,
+    0x1C26174D, 0xC63D21F1, 0xFBC6D732, 0x8C43AE71, 0x1495C044,
+    0x9483EE96, 0x909A94F0, 0xC1B02D9E, 0xDF9A2114, 0x2F4883E9,
+    0x4806958A, 0x209A2722, 0xFE514205, 0xEB85D85F, 0xC25BED82,
+    0xEB2CEABE, 0x8B2A2EDA, 0x68641725, 0x10570304, 0xE53EE68B,
+    0xC43FB1C1, 0x8F763232, 0x41ECC1D0, 0xE3E44CBD, 0xA1A68EC0,
+    0xDAFA770A, 0x6996A5A8, 0x38407C06, 0x4FAD77B4, 0xE30E2912,
+    0x47EE2FD, 0x2CDA167F, 0x88F915F1, 0xF3DF6195, 0x530FBEDE,
+    0x2CFC1C0C, 0x47B21171, 0xDEC1A586, 0x2031A43A, 0xDAAD77AD,
+    0x8BE637E6, 0xA6AC1EBB, 0x6AB9F2A3, 0xBFB5ED6C, 0x15792C44,
+    0xFD3AB89D, 0x27A7E24E, 0x3E76999F, 0x77EE2E6A, 0xE505F3B7,
+    0x429839A6, 0x6BEE7B15, 0xF61F0084, 0xFC20752C, 0x4BF79989,
+    0xC8B4F8E8, 0x46B33427, 0x9F4BA3E8, 0x41B9354D, 0xEED27E23,
+    0xA7FC575F, 0x279180C5, 0x141C3A06, 0x2C2FCEF9, 0x4403AA1F,
+    0xD4496B6C, 0x25C33091, 0x452C754, 0x80534A0, 0x80842F72,
+    0x3DB756B1, 0xEFD010BD, 0x1DE7F9EA, 0x5F9B1769, 0x55D9839F,
+    0xD5B11F46, 0x941D69AE, 0x8C4F3D35, 0xE710E268, 0x2DFBC983,
+    0x5D417C19, 0x7C2561F9, 0x25415FCF, 0xF331B119, 0x235B632F,
+    0x9B1463A9, 0x8249E513, 0xB6F14826, 0x1005E62C, 0x2B1B4F3E,
+    0xEF793550, 0xA90F6AA2, 0x77BFECE6, 0xA6E1C13E, 0xBCB6E143,
+    0x2496D0ED, 0xF4A8D5F0, 0x29C27A0C, 0x7D231D55, 0xB8526623,
+    0xDDDCB82C, 0x2A18B465, 0xB5FD564D, 0xA9647CB5, 0x4300919B,
+    0x9FB2B27A, 0xDB25B0D9, 0xBB5D5711, 0xAA747FC4, 0xAA831194,
+    0x9603ED14, 0xAF921A0E, 0xFA1447D7, 0x8B766768, 0xE8F1C89E,
+    0xB7985D4, 0x6C5C1AEE, 0x2EA66EF3, 0xD176E7D9, 0x228CD940,
+    0xD90C84B4, 0x36253A66, 0xADD7AE4F, 0xF25D5CA5, 0xD34F702F,
+    0xA535AA29, 0xFCF10FB, 0x3D075696, 0x63EF7EF3, 0x81554091,
+    0xC7EEFC78, 0xE0DCDB21, 0x62EFF001, 0x9ACFD7CD, 0xAEBA43ED,
+    0x371BA99B, 0x508B7A31, 0xFF447B05, 0xA239F5D2, 0xA5620A57,
+    0xA16B995A, 0xC334401E, 0x535F51AB, 0xAEA26D82, 0x81D72269,
+    0x3C0BA1D2, 0x80590850, 0x818A26AA, 0xC43E6B02, 0xF72DFB63,
+    0xE7AE3F6A, 0xD31AB683, 0xB99D787A, 0x691FFB53, 0x37EA1E35,
+    0xC2C9FFF8, 0x2A13F6D4, 0x4CC79564, 0x6DD5F2DE, 0xC53560B,
+    0x5A562B6F, 0x3F2C49F1, 0x6953F4CC, 0x8BA12AF2, 0x98A08428,
+    0xA1EF80B3, 0xA977E388, 0x1A3DD9D1, 0x687A3424, 0x2759B568,
+    0xC626A765, 0x7887651E, 0xFC9005E1, 0xE84376A4, 0x387BCF66,
+    0xF7AA4980, 0xBAEE372C, 0xE89CF460, 0xA275FC1A, 0xA5EF8668,
+    0x899F85CE, 0x9CB086A3, 0xF16158AC, 0x4C49EBC0, 0xDCE10FAA,
+    0x4B46ABDA, 0x56947FA1, 0xAD4E7245, 0x54C23373, 0x8B0B6C4D,
+    0x82590F05, 0x5E292D4C, 0x277B63C5, 0x9D51D8CF, 0x86D379EF,
+    0x52CBEF63, 0x7A62AF4C, 0xAC1FA33E, 0x25D454AE, 0x1CDA792D,
+    0x17434813, 0x759F50A7, 0xEEB0D38A, 0xB30964A6, 0x941230A0,
+    0xA464FA3C, 0x9F8685AF, 0xB9A018F4, 0x8080362, 0x2D565F63,
+    0xAB60790A, 0x67252A3C, 0x1715B01D, 0x5384E7F3, 0x79299519,
+    0xA9786ABE, 0x1107A1FC, 0xE0D9B037, 0x4DD34883, 0xA7D476E3,
+    0x5B194AE9, 0x89E50FB1, 0xA9676565, 0xC77CF621, 0x93612BF2,
+    0xE027B80, 0x359C7FBF, 0x39B166FB, 0x1F3B28DF, 0x2848DE70,
+    0xFFE261DD, 0xB78D413C, 0xE011DD7B, 0x286F752B, 0x74A8D775,
+    0x5E540B67, 0xFAF973F, 0xC0035501, 0xB0F16059, 0x1C981017,
+    0xD4871112, 0x9745C0BC, 0x6D85B805, 0xA40253E8, 0x2B0D55CD,
+    0x8FF7EDC4, 0x47EB4ECB, 0xC41A2F17, 0x41C9702F, 0x8549DEE0,
+    0x865FD46C, 0x64A1F181, 0x24E64D11, 0x13337A33, 0xE8CB0924,
+    0x8A2DC003, 0x113C04C7, 0x1CA62E13, 0xC360E708, 0x57DE03AB,
+    0x4D8F2BB5, 0x2CE2E2A1, 0x2580C90D, 0xBF162A7C, 0xEB1490A8,
+    0xBCABC2A7, 0xFBC4C25C, 0xBC83AB6A, 0x25C47DCB, 0x8FE447A9,
+    0x2C0F77CF, 0x6D896845, 0x63CEF5AE, 0xB2FF0326, 0x14D71520,
+    0xA1C15C8E, 0xE53550FB, 0x676B299D, 0xC20A5C14, 0xDB3EC54,
+    0x359733CE, 0x8A619B1E, 0xCDB53E, 0xD285EED5, 0xA6E0181E,
+    0xB81AA3EF, 0x41F8E1A2, 0xE3DEDC6D, 0x4F7CBE5B, 0x24006857,
+    0xACB9B719, 0x4E725B2D, 0x8536AF54, 0x329509E7, 0x72E7C0A7,
+    0xBA97CC78, 0xD822798F, 0x9DFC6780, 0x63E263CA, 0x7B2397A5,
+    0xA42C0C0B, 0x1D5EC588, 0x292F1E7C, 0x2BF5A75, 0xFCD8786B,
+    0x14EB1952, 0x84031982, 0xA0800A40, 0x629C9211, 0x3B17F481,
+    0x50861D9D, 0x8371A304, 0xB3D21511, 0x720E2C6C, 0x5A07F87E,
+    0x868F95BD, 0x8617E7B, 0xD7762105, 0x90707C5A, 0x777473F4,
+    0x67737DC4, 0xC4154562, 0x1840CEB3, 0x373635EE, 0x4E6D4EBA,
+    0x1736A5EC, 0x4D3E335B, 0x59FDB9A1, 0x9162B39A, 0x3F9E1502,
+    0xF661B3DA, 0x77BE0255, 0x65EC8603, 0x21FCA0B, 0x55291C5C,
+    0x69F57B1, 0x5DE1E0D6, 0xA6296E1D, 0x595A45F8, 0x90B166DF,
+    0x61ABB34E, 0xC6D48B5B, 0xB05EF88F, 0x368B0C6E, 0x94C36250,
+    0xB435D440, 0xEFB62847, 0x1473E647, 0x9A101218, 0xC7AA11BF,
+    0x80C241E3, 0xAF648F26, 0xDF48753D, 0x7073509A, 0xAB52665F,
+    0xD1ECCFC0, 0x7BE293F1, 0x396CA014, 0x84336AB9, 0xF9B7E448,
+    0x9566C90E, 0x239F7C25, 0x91A452B3, 0x1E9A4F1C, 0xCCE286F6,
+    0xF46520D6, 0x2943A671, 0xAAA30DCF, 0x28D190CE, 0x88E3D0C9,
+    0x423944F0, 0x81E6712, 0x2714B6B2, 0xF927748, 0x59A5430F,
+    0xCBA530A9, 0x91E12A0E, 0x92598CBE, 0xE61058F5, 0x2604B4B,
+    0x4CB7C3A7, 0x43B5812F, 0xFD90660, 0xD73DF50D, 0xAD3AE409,
+    0xF74D721B, 0xCC2A88D1, 0xCED79510, 0xE64714DD, 0x3BDF0A8A,
+    0xC2C7B689, 0x25B387D8, 0x968DA1A2, 0x8EA5D185, 0xF05F03E1,
+    0xFDDC5B50, 0x78AECEF, 0xE32FBBA2, 0xD512F0AD, 0x5410D1B5,
+    0xDBFD9FFF, 0xC0F2DD4E, 0xF66F8DBA, 0xF5EBA3C8, 0x65F96FE3,
+    0xF7C8962D, 0x8E48A78, 0x255BEDC7, 0xE8FD3698, 0xFD1C4903,
+    0xFDE9830, 0xCDBCF434, 0x16540D39, 0x418EF731, 0xB2F80637,
+    0xDFCC0C9D, 0xB53DC5BC, 0x5A68B10C, 0xC4DCB3DD, 0x8B3778F4,
+    0x7788B194, 0xECBD4903, 0xFD390223, 0x79598BFB, 0xBDECB9D9,
+    0x29576BE3, 0x220F82A5, 0xDBB262F6, 0x1876EF0, 0xE2D9C444,
+    0x32D5ADEF, 0x5F8739ED, 0xAF427122, 0x171E7D7D, 0xA5468BB4,
+    0x94451936, 0x51565032, 0x3CE3CD5, 0xF231F54, 0x98614C6E,
+    0xCE18455D, 0x958D2BD2, 0xA5934FE0, 0x3543931E, 0x77D9C2FB,
+    0x3D3ED736, 0x6762E077, 0xF1B052A, 0x88AF353B, 0xB2A38925,
+    0x8C919686, 0x715EEAAC, 0x34BA46DD, 0xEB486F1C, 0xDF58D7CA,
+    0x90B97BE6, 0x37335293, 0x499414CC, 0x7F725BAF, 0x5ABEBF8,
+    0xE9344F69, 0x1C110FD, 0xA937AD4C, 0xA7CDD9C0, 0x750FD5FE,
+    0x7A7B6D40, 0x41EA948A, 0xA10EE17C, 0x7689C967, 0x9F411C02,
+    0x6C40C3FD, 0xA6FFC648, 0xC6D6F914, 0xA100AF92, 0x4CD97ED5,
+    0x17D9CCBF, 0x915833F, 0x788D78C0, 0xC81903A3, 0x6DE5BAF0,
+    0x3E4D6DCC, 0x98415810, 0xEC23B7AD, 0x822471B0, 0xD2CF5D5A,
+    0xA1BACAD5, 0x40843135, 0x430135A, 0xA7655BAD, 0x7A2472BE,
+    0xCC3D44CC, 0xD1BC9E10, 0x7C215C92, 0x717FA7DD, 0x7EF7D128,
+    0x1BC85798, 0x7C6E19CA, 0xE3FAB7E4, 0xBC884D38, 0x3E220CA,
+    0xE7AE4D8, 0xC8EDD021, 0xF3F05D3E, 0xDE302EB8, 0x40CEFF27,
+    0x56C0550A, 0x96162C92, 0xC004EA48, 0xE0C29A65, 0x496AE22B,
+    0xC7468E6F, 0x8E31BD1F, 0xA53763CF, 0x166CC258, 0x1A2B9CC4,
+    0xDBBADE7B, 0xF8D21AC9, 0xB21CA593, 0xB92F0DEE, 0x9A4391F,
+    0xCDB4D373, 0xB687B3F5, 0x877BF0A0, 0xFD7395DD, 0x1C56AA87,
+    0xCA146BB9, 0x21A2314B, 0x8207A2AC, 0xAA874DC0, 0x4F404E64,
+    0xB69FDE48, 0x324FD456, 0x45F19CF, 0xFC7E6D0E, 0xC8A01C04,
+    0x76C63378, 0xC526F7B3, 0xFDCD2EEF, 0xFFB2F9B9, 0x2DDE75AF,
+    0x5ADF2F86, 0xC9AC84D3, 0x70FF53A0, 0x3FB077C, 0xC2795B30,
+    0xF5438170, 0x557D7080, 0xB784684E, 0xCD089E1D, 0x332B71B0,
+    0x493C3C2A, 0x1D1DED89, 0x8240E170, 0xA7D17522, 0x48C542AD,
+    0xCB357D8F, 0x21E37C1, 0x3B000B34, 0xAAAE4818, 0xCD1EB4B3,
+    0x1736CA0E, 0xDDF8EA2B, 0x76E21C4C, 0x6EE99A3C, 0x27F71B20,
+    0xF6AE929C, 0x3C9CAF6C, 0x5CA7DA97, 0x8EF033C5, 0x8C7EC36B,
+    0x3CB1CFAD, 0x1C5ABBB7, 0xDEF7A78C, 0x9CBC4A73, 0xB3871393,
+    0x8C61DF59, 0x54DF941C, 0xCDD23FE8, 0x758EAD7E, 0x49BE795B,
+    0xC960C6B, 0xE9B76479, 0xC88843F7, 0x82DC3137, 0xEDEE1A1E,
+    0xC6568A7D, 0x42F7F484, 0xA6115655, 0x494779B5, 0xD95FE16A,
+    0xB2AB15F4, 0x64C185B3, 0x9A46066E, 0x8BAE077E, 0xBAAE323F,
+    0x79A965C6, 0x764B71F0, 0x3654F6D3, 0x96B4B2AB, 0x15C2B523,
+    0x720AF416, 0xE6D0F423, 0xFAE44868, 0x6E776BC2, 0x264D41A8,
+    0x3FE4BEE, 0x1598B97B, 0x15A70419, 0xA13CD124, 0x751A09E2,
+    0xF7F7C12B, 0x718AC211, 0x11D03CD1, 0x2F9247BE, 0x77C210E1,
+    0xA2268AAB, 0x2E99F0DD, 0x949D5CC5, 0xA8A309F2, 0x749EC6BE,
+    0x5BD5124A, 0x8BF599E9, 0x3919AD4F, 0xA40901C2, 0xA1D4CC03,
+    0x6ADCA36F, 0x9D5CCB0F, 0x870E2A58, 0xCEBC6333, 0xB2FA28A4,
+    0x579C76A, 0x444849D0, 0x33887308, 0xB3BE3C75, 0x93745501,
+    0xC289F137, 0x89739C7, 0x97C73423, 0xD627FB64, 0x6EE36F05,
+    0x1F4B4B98, 0xFBB7A8AC, 0x60941E62, 0xC3A8ABDC, 0x4AC5E7C9,
+    0x88ACE940, 0x5AA2AE59, 0x9F10C0B7, 0x8F45920B, 0x5FDE21BE,
+    0x1D47779A, 0x3ED27D8B, 0x69FF2BB1, 0xCB1409FB, 0xF27F4FFF,
+    0xA19E3DDC, 0x206050FD, 0xAD98C2D5, 0x4DA4BC0C, 0x95D9B019,
+    0x556ABBFA, 0xBC78B5A, 0xF0F224F8, 0xA9785F8F, 0xED1CE98C,
+    0xD368072E, 0xE212ACE5, 0xBB7F76E0, 0xB02F237F, 0x6D85C5AF,
+    0x31539988, 0x4312BA19, 0x1D5023A7, 0x7320504B, 0x70563ABD,
+    0x2553791A, 0xE9768150, 0xC1B2AF4B, 0x3AF0FD24, 0x3818D0E8,
+    0x7F356F58, 0x98A15B0D, 0xAFA943C4, 0xB2B38831, 0x2E411F37,
+    0xE3D5AF87, 0x67BEEC5A, 0x825E60CC, 0x1C44D856, 0x1A59493A,
+    0x13BAABCF, 0xAEAA4D44, 0x5CFF2A6E, 0xFB47865B, 0xE778E607,
+    0x101500E8, 0x2C17E66A, 0xA0B30350, 0xFC649CDF, 0x8B9802D9,
+    0xAB87D61A, 0x21F38439, 0xD3D11051, 0x1FDA9955, 0xCB9313B8,
+    0x327D1A94, 0x35293099, 0xB803B298, 0x5B8E6883, 0xFA309C3,
+    0xDFDA8B2, 0xDF89211F, 0x9918F18E, 0xF0C05CB1, 0x71D8A4B7,
+    0xE681031D, 0x537012F6, 0x4DF822F2, 0x34B75C8C, 0x4429F85E,
+    0x5D3C4C4D, 0xFB0FC6C7, 0x25F4ECDD, 0xB19D5EFD, 0xD70FD7CF,
+    0xD95C45D5, 0xCDAC06B8, 0x9C3B963B, 0xAB2F2A9C, 0x4D3D4F7D,
+    0x12692C03, 0xB1AEF97E, 0xF243EFA7, 0x78C4C8DF, 0x182D9C17,
+    0x8D2AF450, 0x7596BD9B, 0xE8E7C9C2, 0x86F617F8, 0x1F37A708,
+    0x3F648305, 0x27FF6DF6, 0x4D5FF17D, 0xA9541C2D, 0x9773013,
+    0x78B2313C, 0x82C0B20F, 0xD36A4F02, 0x8DB2BC4F, 0x9296D8BF,
+    0xA983CC7, 0x31AEE908, 0x48CD7E6F, 0x9CB1DD7F, 0xAB89D57,
+    0x5156132E, 0x6345AA59, 0x8D2CB12D, 0x94D3AE56, 0xA4E91B27,
+    0xEE58338, 0x8620EA15, 0x5454D04E, 0x1142ACF0, 0xCA059044,
+    0x31811D8A, 0xD498290, 0xB65F1B67, 0x462745F3, 0xA899191C,
+    0xB9C19F48, 0x824659FE, 0x9A257101, 0xC330F34B, 0x42109127,
+    0x9DA8504B, 0x6C3A989F, 0x5F426E6C, 0x2B922D32, 0x373C66FD,
+    0xAFE3418B, 0xE3788682, 0x83B46626, 0xD0106A4E, 0xFD10B903,
+    0xB0F6531C, 0xC65419E0, 0x3963952B, 0xB8799DF9, 0x3EEB8C1D,
+    0x5C4D3C08, 0x6DD028A6, 0xA55678A0, 0xB8247141, 0xC1267586,
+    0xF6746B19, 0x46C38465, 0x483D24B, 0x99BF79DC, 0x78F778C3,
+    0xAFF40193, 0x58872B07, 0x6DA7F4FA, 0x66B5CEA3, 0xDD2D8C79,
+    0x2A8D289B, 0xB5789670, 0x66AEFCE3, 0x56FB52B3, 0x20FE3BE1,
+    0xCCDFB492, 0xB0F263E8, 0xD0707433, 0x5E58F5DC, 0x4ABEBE63,
+    0x8A45CD95, 0x97037830, 0xBDB1F1B5, 0xA1BE2990, 0x57B718FA,
+    0xD50EC023, 0x810DD849, 0xE650D43F, 0x3895C77D, 0xE142C382,
+    0x35551E5B, 0x3B94330, 0xE92D8A91, 0x50BC837D, 0x61499A8F,
+    0x2639B468, 0xF8FF36E1, 0x74956FC6, 0xFF0F4192, 0x6BBA0C53,
+    0x5B44FF85, 0xBBE4A1DF, 0x12D6CB14, 0x6C679A10, 0x3C0F554D,
+    0xECBADA32, 0x8A99BA10, 0x738C03C4, 0xB8902AC3, 0x7008D470,
+    0x49BC2ED9, 0xFBE19B5A, 0xA1E4879A, 0x36129694, 0x94987C3C,
+    0xE54B84D8, 0x9CFAEF1E, 0x527127DC, 0xA8FCAE0, 0x8699252C,
+    0xDAAD4629, 0xC41F3866, 0x2559C272, 0xB1C25848, 0x3F9B1702,
+    0x7C448BF3, 0x8CCEDF5C, 0x3A37F712, 0xFB9E4F83, 0x5754E801,
+    0xB38FD367, 0x780F4825, 0x959330C4, 0xF6276BE5, 0xAE3E2018,
+    0x182DC907, 0x88E733F9, 0x6FF870A, 0x79EF2D01, 0x3EAC0D6D,
+    0x20D4FF88, 0xAE6EB8C1, 0x80810451, 0xC228E035, 0xBD942803,
+    0x3F3733F2, 0x9F8F16F6, 0xAAA65031, 0x55E839BC, 0x7EAD3461,
+    0x5F5BEE8A, 0x8668BDBA, 0x399366DB, 0x2A54237E, 0x776789E,
+    0x7B171AF5, 0x8C9FCB92, 0xD87465F2, 0xFA3CAAB5, 0xBA5B131E,
+    0x1FD2D438, 0xDCAA9DA, 0xE1BF0AAA, 0x1EAEA8AE, 0xEB46A646,
+    0x989D1EA2, 0x98E8B45F, 0x12A2415B, 0xD107D293, 0x5F54D087,
+    0x95AF5C33, 0x2A12BA88, 0x6381D0FF, 0x688EA1E0, 0xACC60CA2,
+    0xF19636C6, 0xD4D465E2, 0x2A50DC57, 0xFB595CCF, 0xF5C63674,
+    0xB4965626, 0xB903D3D0, 0xD9581548, 0xBBD9E82E, 0xE22BCEF3,
+    0x9FE759D, 0x6E8D8F4E, 0x655325D2, 0xE1986814, 0xEA2B93BF,
+    0x88085C18, 0xF82BFCB0, 0x3FCF713F, 0xADE03EDC, 0x2D2DDCBC,
+    0xEDE2694E, 0xF6DFB11D, 0x5CF35A5A, 0xD38C82D3, 0x52DE32CF,
+    0xB88EA70E, 0xF7FB134F, 0xAEC78D1E, 0x58402C66, 0x54CD1763,
+    0x78A7EB4, 0x88F49C30, 0xDC17F8C0, 0x9C49A368, 0x926E18EB,
+    0x4DD461E1, 0xA6BD8F3C, 0x6D2E4C31, 0x657506D9, 0x445EF83F,
+    0x77E28461, 0xF715400F, 0xBB76D1D, 0x9B670CD2, 0xCEB9EB90,
+    0x7F297088, 0xD3929A52, 0x9B62909, 0x46474012, 0x3D74DFDF,
+    0x46288EF0, 0xF0C51C07, 0xEC642B66, 0x3C76B83C, 0x1E72D08F,
+    0x9F95DC1E, 0x106883C5, 0xB6A867BD, 0xA532C423, 0x95076036,
+    0xA9DBEA73, 0xA3F8C65D, 0x799CF6BF, 0xA4508346, 0xB37CACB2,
+    0xF6A07B5A, 0xA2C24137, 0x2E1D8DEF, 0xD28C26AD, 0xCE745089,
+    0x3B7D9638, 0x7189CE82, 0xBC3F7850, 0x5660A9B8, 0x13895B5C,
+    0xFA59A643, 0x9B0FF4AF, 0xFD2B4FD3, 0x4C0C4E52, 0x272631DE,
+    0xA52FAE47, 0x65850A25, 0xD51ACF2B, 0xD206E6EB, 0x3CDC96EB,
+    0xA6FF9E3A, 0xFC601E27, 0x658EF7F0, 0xB45FF508, 0x36A9A571,
+    0xCE75E7E9, 0xC4BF9261, 0x3A261099, 0xF1B1CE3E, 0x3D28A165,
+    0x3435D2FF, 0x70830AAE, 0x8DFE14F7, 0x3E27CDC1, 0x97BE4BA1,
+    0x33F8D0E2, 0x9B2E7BCD, 0x1923B1C, 0xAA248E78, 0xFDA8AEB9,
+    0x7825E511, 0xBF20B777, 0x218E4234, 0x7B5D1181, 0xA08988A0,
+    0xD9009231, 0xEB15A567, 0x47E045A0, 0x3C515808, 0x35194ACB,
+    0xA476304A, 0xEF738BD6, 0xD035FB8C, 0x3B2013F4, 0x4DE60F26,
+    0x361431DC, 0x82ECB228, 0xAB22266, 0x4E056EEE, 0x6642D288,
+    0x48D851E3, 0xE05D55D9, 0xDC2D6D4F, 0x158F7F48, 0x5D7F7D5A,
+    0xC2835158, 0x793509C5, 0x479DF33C, 0xDEF0696A, 0x9FC2BECD,
+    0xF4EFC675, 0xF8D1FF02, 0x493D3BD6, 0x7FA1C10F, 0x641B324D,
+    0x996DBDDD, 0x24098529, 0x81CCFC35, 0x47F0BE17, 0x5E241815,
+    0xF7F62788, 0x261CDAF5, 0x10CBC4B8, 0x5D6C6A7B, 0xD671AE81,
+    0xB2C8DCD9, 0xD215CB7E, 0x3403AB1B, 0xA7C5999, 0x4675A50,
+    0x369C560C, 0x32C619D9, 0x4FD2E12E, 0xB4A20359, 0x37E93502,
+    0x5EC0CE10, 0xB374340, 0xB0DF0419, 0x5960ED4F, 0xF0A7770E,
+    0x7F504F30, 0x54A92972, 0x3E9848B8, 0xCD980ABE, 0xDE69D570,
+    0xA9FDFFBD, 0x9812C681, 0xDAFCCF4E, 0x2B636CB5, 0xB2B9FF2D,
+    0xB9972800, 0x701231C6, 0x2E1108F8, 0x8C323A3E, 0x20A17A77,
+    0xF2C6CC7, 0x44C5FD1C, 0x731622D4, 0x9BF0C91E, 0xB61CD1B1,
+    0x61FA9CF2, 0x5E460518, 0xF75A1C06, 0x417CCEE2, 0xB45E0FB5,
+    0x53DC30E8, 0x500CBD7F, 0xED61DAE3, 0xEFE91818, 0xB56814BA,
+    0xD37D84C8, 0xD5DA9ED7, 0x5F40F92, 0xF1507FAD, 0x2CC74A65,
+    0x32AA6279, 0x33731317, 0x30E09F03, 0xE1D9C403, 0xC21E638A,
+    0xA7394D05, 0x3879F710, 0xDBB52C37, 0xB7780268, 0xE268E178,
+    0x9F8072D3, 0x97CC035A, 0xEE65287D, 0xA197441A, 0x21C8AFA4,
+    0xB81B50A9, 0xAF6ACC93, 0x7BB55B77, 0x564A0BD4, 0x17F7A6A9,
+    0x36627846, 0xDCE746EA, 0xBB9762DE, 0x47B5B8F0, 0xEF5DA4AD,
+    0x1922E420, 0x15F9299D, 0x243DAB0D, 0x953C67A3, 0xF3DA71D8,
+    0x57122A3E, 0x423A78B, 0xC4A53000, 0xFBE92583, 0x968F3AE,
+    0x61629123, 0x792FA07B, 0xBF45729D, 0x99DDD38E, 0xA14565FC,
+    0x268E9E3F, 0x7EC9286, 0xCCA1D92A, 0xF06519DA, 0x22396664,
+    0xD5DAC24D, 0x71BB4DD5, 0x7D329BB3, 0x401DAB69, 0x19D3E40A,
+    0xB6F40F32, 0xE8D1CAF8, 0x5CD5F35D, 0x6F662316, 0xD38D1A6C,
+    0xF86E720F, 0xE165D1B9, 0x1BC14E79, 0xC19FB43D, 0x891C013B,
+    0x44AED4DC, 0xA7351AAC, 0x5F707A18, 0x3850148, 0x4A425E1,
+    0xF7DD6EBD, 0xE0C3FD0E, 0x8266A425, 0x3BA17650, 0x48753ADB,
+    0x679FA015, 0x88771712, 0x2174B185, 0x29F9A85A, 0x1560964A,
+    0x198E4FCD, 0xD3410A86, 0x9186793D, 0xDAFC5C35, 0x971F4CC8,
+    0x1F8F0E8B, 0x11A884F2, 0x66E6D2AC, 0xE85ECDB0, 0x86C76472,
+    0xDF3B3320, 0xEEF446A6, 0x834CF19B, 0xECEA602A, 0x46C680AD,
+    0x807BA92F, 0x4B3FC42B, 0xEC229845, 0x3FE389C1, 0x63E042D7,
+    0x6C855119, 0x7B1ADF33, 0xE1B9CAE0, 0x62C20BAE, 0xEDF0E919,
+    0xA50FC7EB, 0x2399262F, 0xD6F88130, 0xE2ADA5DB, 0x7D07BC3C,
+    0x36A922F3, 0x7693B84E, 0x3015CD0C, 0x1D1047A7, 0x5D3A75A5,
+    0xEE6F1CA9, 0x734BD19F, 0x3308DD73, 0xCEBBC9FA, 0xF79DD5A6,
+    0xA41CF168, 0xED762FD8, 0x6642159, 0xA63C5CD6, 0xCB96A282,
+    0xA29D9F5C, 0x45CC6CD4, 0x344611EF, 0xC345FE03, 0xC55ADDE0,
+    0xB2B8374C, 0x14F730B1, 0x301D9266, 0xA2D98FD8, 0xBC107DF,
+    0x59905EE3, 0xDB3560DF, 0x1D49F4F3, 0x785F8E0B, 0x8B116097,
+    0x56154F60, 0xE312D829, 0xE0AFAE9B, 0xEAE3692E, 0x95915B8F,
+    0x83BEEE75, 0x48C1C92, 0x8166D95E, 0x697FECA8, 0x135DEBF9,
+    0xF83E6507, 0x11570809, 0x4862CBDE, 0x820E288D, 0x6CA59B2B,
+    0x49DF6AD5, 0x86F41C43, 0xDD128A28, 0x601198A0, 0x3DDD49CB,
+    0x95F3ACCE, 0x500CD9D6, 0xF54A50F2, 0x9936957B, 0x7C881875,
+    0x743B055D, 0x44FD7934, 0xAF2253BB, 0xA2F4A27C, 0xBA8E1C2B,
+    0xCCFA3259, 0x892FC73F, 0x283E74B4, 0x86119027, 0x87961F02,
+    0x1D015187, 0xBA83B762, 0x61948B32, 0xAC741667, 0xFA9E0E39,
+    0xD440D9CB, 0xED93F9F, 0x5FA97905, 0x2F5F82D8, 0x92EC7646,
+    0xC60B3F9, 0xAA28822A, 0x7BA7CD3D, 0x3E41A20B, 0xDE4441A9,
+    0xC75E539B, 0xD9D568C2, 0x2DCAE06, 0x7762550, 0x21C2D5EE,
+    0x95CB6C94, 0xE31FC800, 0x3C03C172, 0xE166E564, 0x359C5102,
+    0x7F717599, 0xBE301B47, 0xB207FA5C, 0x38B8B24B, 0xE6EFF05D,
+    0x9F09D305, 0x31A27808, 0xC56D934F, 0xB440BD60, 0x52B1AAC4,
+    0x78654045, 0x106A67B8, 0xF2A861E5, 0xC45D72B0, 0xA8FF8296,
+    0x97F475A6, 0xDC222733, 0x7A835D7A, 0x45774E9A, 0x9E558C34,
+    0x1124605D, 0x1689FED3, 0x70AB9928, 0xADBF8E55, 0x9C09EE27,
+    0xF95A8C49, 0x75CD52D7, 0x4FC7275A, 0xA46C29F6, 0x747D788,
+    0xA3347E5, 0x5B08AB02, 0x13CDC08C, 0xEDB65176, 0x6B36600A,
+    0x26F5AD2A, 0x39949D1, 0xA1C8F6E5, 0xEBF0CEFF, 0xAB60A06B,
+    0x10E522E8, 0x80E056D8, 0x1B301392, 0xDC3E0B07, 0xE10174EE,
+    0x25DC4733, 0xB4E5A24A, 0x4B569CFE, 0xCCFE9F0D, 0x19BDC038,
+    0xF8A0A718, 0x9944E8E0, 0x9591528, 0xBF27BDF1, 0x2C160255,
+    0xF9E2F1B, 0xCE4FD96B, 0x703B2A77, 0xDB6EB2A7, 0xBFC2FA6A,
+    0x11D00F81, 0x9540FD8D, 0x75849882, 0x183AC87C, 0x91DD1783,
+    0xA3A0CC0D, 0x47F1CED1, 0x4DA4EE62, 0x819BA59E, 0xD5DA1DA5,
+    0xDC218BF5, 0x899CC3A1, 0x1DECAD82, 0x77E193A5, 0x9F390C10,
+    0xF5FCD674, 0x1E43657A, 0x6B61D25E, 0x99B9140E, 0xFEFB9CF9,
+    0x6569445D, 0x14C9A2AF, 0x85A33FB1, 0xE4029ADE, 0x4FABD0FB,
+    0xDE02379B, 0x65C8311F, 0x3CF60630, 0xC8B179FF, 0x9D83CE64,
+    0xFF683C7E, 0x6D796948, 0x249B0AFA, 0xC5A65FDF, 0x252DA26D,
+    0xFE92E52E, 0x90D081E5, 0xC5A8E180, 0xEBDB0943, 0xB0E7C78B,
+    0xD5A89E4D, 0x684EE280, 0x8AAB613C, 0x6BD1547, 0xD12F7355,
+    0x9C5D1363, 0x91E410A4, 0xDC841FBA, 0x703A9371, 0x79F8663,
+    0x553650FC, 0x633CA726, 0x20107BD7, 0x2565F252, 0xCDD93830,
+    0x3446CF7, 0x92B6B42A, 0xA070B2D1, 0x5E0384D1, 0x7CC5A19C,
+    0x6890558F, 0x10D308AA, 0xDFF3016C, 0x1093AA3B, 0x8927683A,
+    0x9259502B, 0x2B544B7C, 0x419B1B1A, 0x22D9E939, 0x568ECCEE,
+    0x4F3CE09B, 0x8B990521, 0x8D6906A3, 0xC15DEDC4, 0x98384A4A,
+    0x8F2F2652, 0xEDB9D614, 0x1D010AC3, 0xA2CDC134, 0xEEE9A9ED,
+    0x241DB9A2, 0xE9DB9AE7, 0x7A788F9E, 0xBD0778B7, 0x27373539,
+    0x7C6B4A4B, 0x3C7A6B37, 0xDE1C625, 0xC1256E67, 0xB8E69163,
+    0xCC05D09B, 0x728A1427, 0xECAC2530, 0x1DD40BC8, 0xEFE42E56,
+    0xB4266BE0, 0x9AD3F869, 0xDDFC2F60, 0xEF29B3F7, 0x7C15F90A,
+    0x705C2992, 0x99AC7AEA, 0xCF1F09A0, 0xB41F14D9, 0xBF3C252C,
+    0xF3483286, 0xD3AC398E, 0xB84BC93D, 0x6B780D11, 0xF682D379,
+    0xB8A062C2, 0x9A003A9E, 0xF18F54FC, 0xDE81BB83, 0xE84C5234,
+    0x37CB67FA, 0xDB685C6, 0xBF2BF28D, 0x8CDE583, 0x94CCD0BD,
+    0x8BCAF516, 0x31BE93C2, 0x3ED4B623, 0xCD23346E, 0x8254E7A0,
+    0x6091EF1F, 0x17A42562, 0xC9821677, 0x447B6623, 0x19D9356C,
+    0x4A1C1953, 0xD1F3B7F9, 0x99F8388D, 0x62F22304, 0x5EDF1ECA,
+    0xB6C9FC2F, 0x42968E22, 0x531BD76E, 0x25E6A95A, 0xA1669784,
+    0x8B915BD2, 0xA5E21483, 0x5ABE3226, 0x605C0E15, 0xFDE713CC,
+    0xFAC58D3B, 0x44FAF6E8, 0x41E2D699, 0x8EE11E34, 0xB03BE4F6,
+    0x75054C0D, 0x1AF2D37, 0xF38E6829, 0xE7F2A519, 0xC9CF2CFF,
+    0x996DDE8, 0x395AC493, 0x42AFF184, 0xB380B71C, 0x11AA0B90,
+    0x66DC636, 0x56557CA8, 0xCB8CAA43, 0x9EBF806E, 0x63F66159,
+    0xA011191D, 0x17B0AED3, 0xB9621251, 0x2B189E3, 0xD45A5D7,
+    0x23009D12, 0x5DEB7918, 0xFDFB1FC8, 0x46808A73, 0x91D29330,
+    0xF872C15D, 0x7BE90206, 0x257E9FCB, 0x2E52FF67, 0x1852DDF9,
+    0x6A2C5C49, 0x6ACF891B, 0x29FFB0E2, 0x76E32CD2, 0x588799,
+    0xD71D970E, 0x9B079EC8, 0xEBD25420, 0xDDB60276, 0x761B106F,
+    0x871473C4, 0xBC697CE2, 0x5378E0E9, 0x8DAECE28, 0xE5B275FA,
+    0x6E6E332, 0x853884E7, 0xD0FFF1A2, 0x722D372, 0xDD5A754D,
+    0x87CDDA3C, 0xA9B629C0, 0xAB2E650D, 0x1709413D, 0xDAE63819,
+    0xC60DE8CA, 0x9F344BD6, 0x8E651EF9, 0x3B6A8019, 0x95CC1296,
+    0xB12DAEAB, 0x8D550156, 0xF14E85AA, 0xD2547469, 0x6336E320,
+    0x223B05B9, 0xB88AD493, 0xEE14916F, 0xC78AF1FE, 0x65FC2787,
+    0x778FA85F, 0xBA23A57E, 0x957EA954, 0xAE4F9577, 0x47C38D4F,
+    0xDB7BCDC9, 0xBA13E42E, 0x46B01094, 0x1A15F5E4, 0x315AB789,
+    0x9E44B54F, 0x8C690B2F, 0xDC4954CD, 0xF176F3FF, 0x9B154C06,
+    0x112BD6D0, 0xCB120BBC, 0x11101771, 0x1F29A19D, 0xC3F8193A,
+    0x805D6739, 0xE3B00ACB, 0x23DD9494, 0x4F88EBA5, 0xE6F32E0E,
+    0x4B76F089, 0x43B66BEB, 0xF2420B12, 0x2CFC5E01, 0x1C68D3DC,
+    0x30C1BD38, 0xF3A0FCCA, 0x2AF13CD5, 0x13E38185, 0x2DEE2A21,
+    0xFC318E26, 0x1954D4B6, 0x3FB86424, 0x24D698F1, 0x4AB76D48,
+    0xA9E87BD9, 0xCE1DD2F2, 0xF5904D9F, 0xF614DB18, 0xF83111D,
+    0x1FB56EFD, 0x5CBD08D8, 0x2D8D4884, 0xE388C534, 0x413D5BB8,
+    0xEB6D14D6, 0xAE54E361, 0xF73D926B, 0x43F27197, 0x7C50A2E5,
+    0x10EDBD6C, 0xD151B569, 0x47C50C06, 0x8FD59E74, 0x551C6841,
+    0x2EC2B6DC, 0x5CEAB3A9, 0x1E6A1609, 0x3FB07FED, 0xC0D5849A,
+    0x6354A21B, 0xEBF18830, 0x2BB3EBBD, 0x9D4DF510, 0xBBBE1103,
+    0x918D6DDF, 0x3FEE7A8B, 0x4FC47254, 0xE0E1EA65, 0xF3DDB31A,
+    0xADF8DE67, 0xADA31FAF, 0x2BC0B8A2, 0x184B7432, 0xFDB2E733,
+    0x236B014, 0x21062C, 0x8FAAD8D7, 0xA1DA7E44, 0x3EF7F42F,
+    0xA67AAB82, 0x9238F0D8, 0x42F93C63, 0xEF0F4BA1, 0xE61DC644,
+    0x994EF92C, 0x71A58613, 0x371665E5, 0x82E77BA1, 0x2FFA1DAE,
+    0xFE19AAA0, 0x95C72A53, 0x6A21395F, 0xC03F853C, 0xBC7B73BC,
+    0xED62A949, 0x4F7D3C52, 0xCACFB353, 0xA1629BE9, 0x16255784,
+    0xAE465FC4, 0xE7FC2626, 0x5E9B0FC2, 0xD109084D, 0xE30E7B89,
+    0x94CD7424, 0x6127AF6E, 0x7D08ED7, 0xFA0B9293, 0x450A112F,
+    0xD0D79344, 0xA204F8B0, 0x5F825780, 0xD681148D, 0x71C6AE83,
+    0x1DF62587, 0x99ABC8A6, 0xCFEE8131, 0xFCD11719, 0xD0D48B0E,
+    0xCC4A710E, 0x7414791C, 0x22167734, 0xD17FE049, 0x5BF15C46,
+    0x30B718E0, 0x6E85104E, 0x52F72575, 0xA17F09E1, 0xCDA7B24E,
+    0xDAF7D03B, 0x3632D94B, 0xBAF4E9EE, 0x390CD998, 0x168C055E,
+    0xBC2D8D0D, 0x35E9F642, 0x89757E1A, 0x2BB98011, 0xC19BCD15,
+    0xEEB73587, 0x6A5194EB, 0xC2C1B4BA, 0x3C8F73FC, 0x8F075D29,
+    0x42D39406, 0x6674167A, 0xC0904A73, 0x1158FE6B, 0x4CAD2FAD,
+    0x9A7EC8A5, 0x651960A6, 0xD0329ECA, 0xF5130525, 0xCC7C40CD,
+    0x259AA3D8, 0x9669412D, 0xB92D39A5, 0x29B217D2, 0x27A07E25,
+    0x9AFFD359, 0x7E8F5AC9, 0xCF7C0F61, 0x5B4F8D7D, 0x31C4E97E,
+    0xBDB9599C, 0xA85BD7E0, 0x87F0BAAB, 0x2852E628, 0x377BD41D,
+    0x4B54844, 0xDABF47AE, 0xA1B7AF6B, 0xCCF57165, 0xA90C4348,
+    0xDC1CE2FB, 0x42582D37, 0x2892F4E0, 0xB89AC8E9, 0xB2718E40,
+    0x93BCCE08, 0x5606C693, 0x1952D10D, 0x96609D8F, 0xEE3BC3C7,
+    0x2DFA50E8, 0x5582FD75, 0xBDC2618C, 0xA3D922EE, 0x8F766106,
+    0x184ED901, 0xDAABDE09, 0x40CBD4E2, 0x4A9A2A70, 0x9814D393,
+    0xE394A090, 0x9EA06A4F, 0x2EC8C8A2, 0xFD2EAFF0, 0x2F6C96B5,
+    0xBB17EF37, 0xDA677FE2, 0x2357E330, 0xA8C9DDED, 0x735A7B2C,
+    0x41C2B39C, 0x787E099A, 0xFBF8204F, 0xA56A4B69, 0x7DE2860,
+    0x34299BB3, 0xD1CAE881, 0x5F452DDC, 0x700904E8, 0xC3B47017,
+    0xF7040305, 0x5C42BE94, 0x88AAAE53, 0x9FCAAD72, 0x2774D420,
+    0xDD685357, 0x80499592, 0xC5FB26E7, 0x90BA598F, 0x4A13D60A,
+    0xC6D5F72, 0x97C35532, 0x6580493F, 0x9D31E266, 0xEF926A38,
+    0xF68CF9C6, 0xF770C570, 0xCA18C06A, 0xFA2BB2, 0xFBA375DC,
+    0xC2FE76ED, 0xB91611FA, 0x528A8EA5, 0x360A527, 0xF631D04B,
+    0xF0C67ECF, 0x4E490A69, 0x19DB46F0, 0x497DFBF4, 0x58E490FC,
+    0x24A51378, 0x186BDC14, 0x90E633A3, 0x6D6F8D95, 0x2FDE02DD,
+    0x4B2714A6, 0x6FC87FE0, 0x21569667, 0xDCC31F06, 0xC9D9DFD0,
+    0x830AA4A4, 0x78FBFE69, 0xDF17CD55, 0x3952AAA7, 0x9A4B5A7D,
+    0xB1EBF3EF, 0x4F3BC1C9, 0xDFEEBF40, 0xAB130CC8, 0x1EB84425,
+    0x4625E802, 0x20B990D6, 0x4E36869F, 0x5EEC0472, 0x29194460,
+    0xCA425ECA, 0xEB0742C, 0x17D07C02, 0xF38BCA14, 0xBC9D555E,
+    0xF15822E7, 0x89CF96E0, 0xAA848F9C, 0x90731AC9, 0x86EECBE3,
+    0x308F3257, 0x5FF375DC, 0x1E62C041, 0xFDB6A3E7, 0xDFEBED8E,
+    0x8FC77E76, 0x6973E542, 0x2AD1616C, 0x99B549C6, 0xD28CF364,
+    0x88C87768, 0xECA2CFB, 0xA0D0B060, 0x42DFFD8, 0xAF80A6DE,
+    0xFF323760, 0x1CB2DAAA, 0xD11DE4FC, 0xEEBF565A, 0x9C986CAC,
+    0xC1C95B3F, 0x6868BF0, 0xF5604930, 0x316DD9EF, 0x1231D331,
+    0x95E38E67, 0x7D30C191, 0x354804BA, 0x265EE5E, 0xC6728C70,
+    0xD36F32D0, 0xBBEA0ECA, 0xD055ED76, 0x9135E317, 0x8A7B9770,
+    0x4D1344B0, 0xE9F29AE3, 0x7BA303B9, 0x2C38AEC, 0x82ABCBA6,
+    0x7729F177, 0x71793932, 0x6FE6E38D, 0x1F8416B, 0x147D8310,
+    0x6A962FEC, 0xFE2F100E, 0x4FB1D511, 0x3D38AB33, 0x58ADC416,
+    0x64B07504, 0x458CC4B4, 0x584BC93E, 0xDE49B6D1, 0x7347876,
+    0x4A2C3EB6, 0xDF5DE09C, 0xBFD376DC, 0xC9F451C5, 0x5F793A0,
+    0x892952A2, 0x15060767, 0xE1E3B589, 0x4D513C3F, 0xAF3D2CC7,
+    0x289DAA2E, 0x8C711417, 0x62E5E006, 0x3BECED98, 0x99E73ACC,
+    0xDE156054, 0x1283655B, 0x5123FC41, 0x3DE21841, 0xC032F050,
+    0x94B5151F, 0xA5577757, 0xCC0C8DF, 0xBDB52821, 0xD530FAAD,
+    0xD070D8FC, 0x46F5BB68, 0xB02DFF88, 0xD4923EA8, 0xC85A5622,
+    0x93E834A3, 0x38E84468, 0x79408C75, 0xCCB635, 0xE76BADA2,
+    0xC2296DA1, 0x711543BB, 0xF441F4A2, 0xBD18127C, 0x8385BFB9,
+    0xD350D4D, 0x90FAF999, 0xABD1A695, 0xFCEE12C7, 0xF428912A,
+    0xC9759F80, 0x6DB6491, 0xD1421D30, 0xBC398DC4, 0xB8E0A889,
+    0xC854AA72, 0x82CAAF64, 0xBB6A65BC, 0x6DCB2D0B, 0xD215ADB,
+    0xF45033DE, 0xC1300029, 0x665C61DF, 0x756D1875, 0xBD2CF722,
+    0xC477E3C7, 0xDDD97C9B, 0x89AE48E4, 0x65000FDC, 0x1FD717CD,
+    0xBEEA764A, 0x8FC2DCB7, 0xA162EFB3, 0xD4AC2490, 0xCDA9A72A,
+    0xBFB4EE17, 0x66C73CBB, 0x6B7CB021, 0xCC5AF099, 0x5389E8B7,
+    0x7668286B, 0x31A223BC, 0xA66475FF, 0x9C3DDA93, 0x2F3171FE,
+    0xDB89A7DA, 0x1699616B, 0xA380F010, 0xB05D7388, 0xD774EA44,
+    0x64D6091C, 0xF23298F8, 0x71C88081, 0xF90C4A04, 0x2FBEEA4F,
+    0x2F9178BB, 0xF8723D8A, 0x1C07FCC8, 0x36D24E08, 0xE02A8B61,
+    0xFD6312AE, 0xA7DDCE9B, 0xAE45AC52, 0xCA2EC55C, 0xEEC6BE42,
+    0x244F3D79, 0x994FB339, 0x8316CC43, 0xE3CEC898, 0x8D37639,
+    0x833D21BB, 0x4333A2F7, 0x95F3B0C0, 0x7258174C, 0xBFCF0EF7,
+    0x9A7F4883, 0x71F2406B, 0x16B2BA04, 0xE1BCEA70, 0xE3C6798A,
+    0x3FBF481C, 0xF5A8D117, 0xB37ED250, 0x49AB5E0D, 0x2793A7EB,
+    0x45DF69A7, 0x4EE4B815, 0x98259530, 0xC223CA40, 0xDB7B208A,
+    0x4AD3C0F7, 0xE7C33E50, 0x49FD7631, 0xA228021B, 0x2C27FCB2,
+    0x5F77BCF4, 0x65D593D4, 0x7C700797, 0x6E67920A, 0xEABAF033,
+    0xBFC8B68B, 0x8835B368, 0x90CACC99, 0x6B90E022, 0xF2466D89,
+    0x432DED25, 0xEFC94B45, 0x3116C3E, 0x1BBFBC45, 0x8FBC3D21,
+    0xFB2039AA, 0x50679156, 0x450F8837, 0x73C7F87D, 0xC27898A7,
+    0x7F48E602, 0x5064FCB3, 0x1EB6F58F, 0xE647C845, 0xBC8E84EC,
+    0x5C4B8FFC, 0x440A88B7, 0xA490480E, 0x371DC115, 0xE1F236FE,
+    0x4D65A2C5, 0xA965B0B7, 0xD05512FB, 0xDFAB9656, 0x191C627C,
+    0x56B7FAC3, 0xF304A2E4, 0xC7ED6DF0, 0xD09B8C49, 0x1A1E777B,
+    0xE70746BA, 0xEB582E9C, 0xFA6014DD, 0xB3B67784, 0xD3F64D81,
+    0x318872EA, 0x4D241611, 0x134DF119, 0x2EA55DFA, 0x71A8D182,
+    0x15AFE856, 0xD5CD885A, 0x5EA2B899, 0xF87BC7FC, 0x25DE8D6,
+    0x93837315, 0x341C3698, 0x58534F, 0xF10652DF, 0x18C92AA4,
+    0x17E969AB, 0xC12D08D, 0x6B0D0FBD, 0x40ACD3E2, 0x8C3AD43C,
+    0xFDE55C9D, 0x25A58094, 0xBBCAB168, 0x2F06ECA1, 0x9D23A101,
+    0x6F850449, 0x769C743A, 0xB63FD349, 0x3B3C852F, 0x1EC89061,
+    0xFE8C7369, 0xA19C0F73, 0xB682F1D3, 0x48DAE3D4, 0x7F9FD390,
+    0xEF784A6E, 0xCB23F15, 0x7BEB1E0E, 0xCBE90203, 0x6979F11D,
+    0x251C50A4, 0xDAD9C59F, 0x5E4E5BFD, 0xCCD4DF48, 0x72BD66E,
+    0xE7FB1B35, 0x75B4B83B, 0x29E9282A, 0x2590317D, 0x7835F9A1,
+    0x25D3602C, 0xCFEC2E4F, 0x9CA2B0E7, 0xA4714302, 0x8F3D53C4,
+    0xDE00F109, 0xC26D6273, 0x3E8DC623, 0xE3A972E2, 0xF67DF096,
+    0x781682A5, 0x6C16F144, 0x49DC8D17, 0xB2EB82EA, 0x3CB93D91,
+    0x44D4D3C4, 0x556040F, 0x1406DD74, 0x55FA83ED, 0x91C35357,
+    0xF5A1C63, 0xA64E34D0, 0x7DF58C80, 0x62E97E52, 0xFBA1A2FE,
+    0x8CB29D60, 0xDC1AEDE5, 0xB260BBF, 0x1AD9C6A6, 0xC60E9788,
+    0xAD9DFA42, 0x2E422C17, 0x51CB5E86, 0xEB840466, 0x2666D5D8,
+    0x7A0F7C62, 0xDE052A31, 0x6F0330C4, 0x9142D4AD, 0xDC8578C9,
+    0x978F3E76, 0xEE43CB4D, 0x14E7EFC7, 0xB50B064B, 0xD7FB2900,
+    0x67C4F4A3, 0x4D1193D7, 0x5091FB73, 0x3EB9C846, 0x960BE069,
+    0x88250E7E, 0x94503385, 0x1C1F244A, 0xCFD72CE3, 0x8CD5F105,
+    0x2B34131F, 0x60D266E2, 0x16BA806A, 0x25C25A42, 0x5FF6C068,
+    0xD23A191F, 0x7AB5C53D, 0x9EA37FBB, 0xD1AD4B07, 0x40BCB39C,
+    0xF45C8526, 0x80FEF5BF, 0x197D6D43, 0xD56FD4D0, 0xF39E498B,
+    0xFB4F6847, 0x84DF289A, 0x2246F5CF, 0xF979B823, 0x42DCD843,
+    0x1AB1BB0C, 0xABEC5FCE, 0x6E7EBC1, 0xE013DB54, 0x73BC8A04,
+    0x88D0F71E, 0x4D93B6D8, 0x57B0B7CF, 0x99371728, 0x86B129E9,
+    0xF4EB3DD2, 0x6956AA9D, 0x4C84AA0, 0xFD22CA10, 0x36E6915F,
+    0xC830D7EA, 0x1EE1666, 0x1036A43F, 0x3FC86E7C, 0xF10F9CD2,
+    0xEFF5F21B, 0xBF9082E0, 0xDD0DD00C, 0x80524F27, 0xDD5A3222,
+    0xEA53B93F, 0x7FDA09AC, 0x89840C97, 0xC3A9BDCF, 0x1EC26899,
+    0xEBCAF99C, 0x2EBB3226, 0x936A3254, 0x2E1E1786, 0x57E4CB9C,
+    0xE5CDBE5, 0xFBA2458C, 0x48F3D0EF, 0x74FD06AB, 0x96C30795,
+    0x14FEF0E9, 0x2F5FBA0C, 0x3CCEA60E, 0x7BA0354A, 0xCD7329FF,
+    0xD4169550, 0x5FAA5E66, 0xF0C25CA2, 0xEBCC8065, 0x3F147D8F,
+    0x5ED3293E, 0x6457117D, 0xE4CF4B98, 0x11F1E74E, 0xC13F47EC,
+    0xBC7E22DC, 0x22512D19, 0x9140ACBB, 0x490D52F, 0x3E2D54C2,
+    0x9FCBBC1B, 0x89646A33, 0x9FE4B65F, 0x92CE9ECC, 0xFBD59FB9,
+    0xCE95DAD1, 0xBBCDE794, 0x9C0FA1C6, 0xCFD90F8B, 0x494C1770,
+    0x21AD2AAE, 0x58EC00A6, 0xB0848A25, 0xEC4FEB5E, 0xFF1517EC,
+    0x52871C07, 0x105E05B0, 0x178B1913, 0x18023805, 0xB16BBC6B,
+    0xF8522A7F, 0xB17DEC22, 0x3808ACAC, 0xBC5B9043, 0xBEC01BA4,
+    0xBC6CDA0B, 0x17906D50, 0x8422829F, 0x51C9AFB9, 0x54F78CEF,
+    0x72CEEA16, 0x76A74B94, 0x7EC063E2, 0x51C65B1D, 0xD97ED9B8,
+    0xDE89F034, 0xB5AEEFA0, 0xB88D3E9D, 0x9D4C57AE, 0xC8CEA9C1,
+    0x941A74D3, 0x8E2FC33, 0xEDCEB551, 0xB91FA3E4, 0x8BA2261F,
+    0xE558E0F2, 0xA4E81979, 0xAAE31455, 0x70B62249, 0xD48D1A67,
+    0x11767EB6, 0x823DFECA, 0xC815C538, 0x2AB67EE6, 0x22FA86BA,
+    0xD7A1F96C, 0xBA96E382, 0xB75B3FB7, 0xCB705FAF, 0xD1B9D3E2,
+    0xD4C8DC2F, 0xF954B0A5, 0xDABE493B, 0xCA3FBB37, 0xBBDC387C,
+    0xA30C87D6, 0xB5B493D5, 0x584F5615, 0x90FB6370, 0x5544A92D,
+    0x980F7FA2, 0xF1459235, 0x130B11BD, 0xC7A44998, 0xFEBCA776,
+    0x7943BE84, 0x72C99B04, 0x353F6042, 0x66F5C2F2, 0x9C5B2CC5,
+    0x9FF06E41, 0xAC9E5492, 0xFF9A1CC8, 0x4429DE05, 0x97845307,
+    0xDBA36668, 0x40BEBB2F, 0x606DBA6A, 0xDE7A4225, 0x9AF7FB71,
+    0xE97A0E6C, 0x99C2AA59, 0xE00C525B, 0x5D4F9521, 0x89C5D7BB,
+    0x18481C9F, 0xA27A1F59, 0x2A6267A3, 0xC467981A, 0xE04CE94D,
+    0xAAB2AC1D, 0x5FD1AC86, 0x8F33E395, 0xE1FBE285, 0x636C2961,
+    0xD838584E, 0x2F845D90, 0xAD52A8ED, 0x8F8C841B, 0x829A3861,
+    0xAA0FF413, 0xA079F240, 0xB15D507B, 0x93722B10, 0x833AF929,
+    0x4FB5B879, 0xEDD3031D, 0xE22CE740, 0x9ADF835A, 0x13A0C7A3,
+    0xD5791B98, 0x99D9409F, 0x9F776A0E, 0x8665EC9F, 0x7301EF7C,
+    0x9B341035, 0x59EADE7F, 0x242C1ECA, 0x20FD13FD, 0xE22DAF76,
+    0x3859E84D, 0x6ED83DA, 0x54ABF391, 0xC43F4740, 0x4661F86,
+    0xC6442213, 0x7FEAF294, 0xC0CAC024, 0x38B9FA9C, 0xFFF33259,
+    0x1AD86335, 0xB365445F, 0x54B58378, 0xFD7AE96A, 0xE019B245,
+    0xCF51C4EC, 0x604D7EE, 0x7B40C023, 0xA5E168B0, 0xD7B8C643,
+    0x91C028D3, 0xCB939A6B, 0x169B0123, 0x96FF8CFA, 0xFCB3E126,
+    0xB95C01B1, 0x1758BFB6, 0x50F50968, 0xF774D536, 0xC5A8BFE7,
+    0xE2496BE, 0x6FB8D434, 0x3F7FEDB9, 0x9BDEE991, 0x1CBD2009,
+    0x2CE74DB4, 0x1CB51025, 0xE965ECE6, 0x89100034, 0xA089E8C0,
+    0x5860A65B, 0x9C4D349E, 0x54898852, 0xD07C9738, 0xBC677E89,
+    0x75B5D0C1, 0xCFD435AF, 0xED550357, 0xAED9301, 0xDCD1734A,
+    0xEDCD21D7, 0x69F6A592, 0xEF8009F7, 0x44374358, 0x9405770D,
+    0x668AC4FA, 0x50507E61, 0x2DB19DDC, 0xA9BDD137, 0xFB722699,
+    0xBC067E88, 0x88740174, 0x717CCEDC, 0x9F7F1E11, 0x389F4CC,
+    0xCF4D0018, 0x24588FF1, 0x25C9F951, 0xDA660468, 0x6C09D91C,
+    0xC9F788E, 0xDD4DF43F, 0x8B04484A, 0xC7F67DDB, 0xD2939F8B,
+    0x96BCFDE5, 0xF6DD10D8, 0x1124A3BC, 0x7C281FBB, 0x5FAFA71B,
+    0x58A9C493, 0x4747793C, 0xD3B79E72, 0x357AA675, 0x8E94A74B,
+    0x1994025, 0x95D10FB8, 0x5C64AE63, 0x9E37973F, 0xFCE67009,
+    0x8480F94E, 0x34DA26F7, 0x126CFB46, 0x206AAA6B, 0xBA0A6200,
+    0x8DF3F67F, 0x4936802F, 0x950F62F8, 0x17E64C44, 0xC70E523E,
+    0x2F910727, 0xAF7C5BC, 0x9EA24508, 0x1E945729, 0x55E48FBD,
+    0x897CB57, 0x8C134FEB, 0x54E68223, 0x91912044, 0x7A461BDB,
+    0xCE91309, 0x72135AF, 0xBF94D484, 0xDD752690, 0x32248D12,
+    0xEA092355, 0xC24CA220, 0xE8A95D65, 0xE4E2EAE6, 0x664763E9,
+    0x71F1AA47, 0x832550FF, 0xFFA73B6B, 0x96F5DFF6, 0x60CB9B66,
+    0x75F29F5C, 0xF863AC8F, 0xF16993FC, 0x3503801C, 0x3D1E8B2,
+    0x583CDFF6, 0x62AD49F2, 0x8261843F, 0x826EA9B6, 0x5E2EF3,
+    0x8D3848EC, 0x7391A581, 0xDFC466FB, 0xB38DCBD1, 0x4145C3C0,
+    0x73F322D7, 0x2B55F284, 0x6B19FBA6, 0xD9446AD1, 0x36C330C5,
+    0xB71E4B29, 0xF29F504E, 0xB4FA4CFB, 0x290B6941, 0xA2197E21,
+    0xF2AAE27F, 0x1A1728B5, 0xAFF5632, 0x6AEE763B, 0x2962A376,
+    0x965D67E7, 0x231A8B76, 0xBD3596FC, 0xD4AE3E8D, 0x58D4D740,
+    0x4EA3B6DC, 0x5479A7F5, 0x110A4791, 0x9A772A63, 0x728C4794,
+    0x6D6A0801, 0x3F89D9E1, 0x326D1BC4, 0x49B3798, 0x5E2B3CA8,
+    0x742C385A, 0x89450FE0, 0x24236A74, 0x81AC9891, 0x7BEF3C66,
+    0xACECD674, 0x29009073, 0x94D6BDBF, 0xF2C6CDF4, 0xDBC21EE3,
+    0xC65C89A4, 0x35DC5337, 0xBA281430, 0x787521B0, 0xADF8317E,
+    0xD5739B77, 0x8567F3A2, 0x374E0CAC, 0x5AFFF50F, 0x9654D41,
+    0x4A86EDEF, 0xE16C9A62, 0x59D15E49, 0xA69769C8, 0xA9197100,
+    0x1E04CB9F, 0xA926CCB8, 0x5047C429, 0xB7E369C, 0x812F5F0A,
+    0xA53EA5BA, 0x9AE5C105, 0xD4C7CC5D, 0xC99E02F9, 0x5BCDFE96,
+    0xCDBAA854, 0xCF209B89, 0xBE08E9B, 0x5C73AED2, 0xBD959602,
+    0x63C309AB, 0xEE289A4, 0xEDA954C9, 0x5C54F616, 0x3BC34487,
+    0x47A3C772, 0xAB0084A4, 0x2CFB8D44, 0xF5F8411D, 0x43F6361D,
+    0x12B8467F, 0xCDC437A5, 0xAC96A375, 0x7962CD18, 0x5D728EF4,
+    0x66B11DEF, 0x73C87A6, 0xA35AEF9A, 0xC84F12F7, 0xB1EDE9B4,
+    0x2F6A1752, 0xCF8DA321, 0x2E37F4E0, 0x4985F516, 0x684E49AF,
+    0x56287772, 0xF74F95EF, 0xD994FF05, 0xC1D23E99, 0x81214F78,
+    0xA5DF2934, 0xC2B686DB, 0xABC54017, 0x6918D067, 0x737A798C,
+    0x3904B21C, 0xD4CB6EFF, 0xC256E4F8, 0x38B0CD4D, 0xE2D27089,
+    0x75A00DC2, 0xDC1D5E7B, 0xE2295307, 0x2F0A683C, 0xD00AF450,
+    0xE45C3252, 0xD86804C8, 0xF9628DB9, 0xEA011DB9, 0x6A67523A,
+    0x488B54B3, 0xA292CDEA, 0xB1D1D89A, 0x17415325, 0x3EAD3D80,
+    0x5D092525, 0xB5880E29, 0x1104A8AF, 0xBC177790, 0xEC730159,
+    0x11B0A1AD, 0xB809FD7C, 0xB23FE31, 0xCCBED7C8, 0x45B7F7BF,
+    0x9491B0EB, 0x1B1A90F9, 0xE34F4317, 0xF060A5B3, 0xF795EF1,
+    0x8254A941, 0xC6CC30E4, 0x770FC40C, 0x17EC9C1F, 0x20DA83EF,
+    0xF9CCBFC9, 0x9D0675AD, 0xACEA7EB3, 0x56326F5C, 0x74D4DF3A,
+    0xA8FF9A9, 0x8F55E3E2, 0x5B0D12F1, 0x12DDB28C, 0x95FADBED,
+    0x81F48694, 0xABEE8392, 0x90E96B15, 0x2C44972E, 0x4E2D3A4F,
+    0xE8D34D14, 0x83C03E59, 0xDC295E2E, 0xDDEA452F, 0xC2A2A33F,
+    0x617210DE, 0x69542DB0, 0x1DD96D24, 0x3E3871D0, 0x9DDDAF6C,
+    0xBD326CD5, 0xD87CE143, 0xF3C79B3A, 0x7F811CCD, 0xDE1B1502,
+    0x8075EA04, 0x9D09F1DC, 0x8CCBD152, 0x669F35C, 0xC9414276,
+    0xA2BFFE0E, 0xF8AAE650, 0x190C1AE7, 0x2DBB4A7D, 0x575B247D,
+    0x3A599D3E, 0xB09B4DFC, 0xCE4904A0, 0x63C72670, 0x15A3BD05,
+    0x799B50CD, 0x19A2718C, 0x4142750D, 0x9013BE74, 0x21288938,
+    0x590BD2BB, 0xE4303149, 0x46B308C0, 0xD2BB7D56, 0x1BFB248,
+    0x943B2E72, 0xCAB18644, 0xFCC921C4, 0x5308C4D9, 0x9098CEE2,
+    0x435B219F, 0x69F1BBE5, 0x155216D4, 0x83F2A4A5, 0xE177744D,
+    0x37DF6FDE, 0x9D9EA50A, 0xDFA8D408, 0x6C72E71E, 0xEA617E3E,
+    0xDAD6C13B, 0xB83A850D, 0x45F6BEB5, 0x6AFB346D, 0x400B29FB,
+    0xBC8E57DE, 0xC6C1081A, 0x4F6A9545, 0xF878303F, 0xB9E519DC,
+    0xCCF25FBA, 0xCAE069A5, 0xB79B082E, 0xF70BB7E7, 0xE6A5535C,
+    0xB769EA37, 0xE07CCBCE, 0xA9F04406, 0xBB7E5A7A, 0x10C986,
+    0x5EB448A0, 0x3B154163, 0xCB832FD3, 0x50100140, 0x6963216B,
+    0xEF480040, 0x75B83F45, 0x4A07D8C5, 0xEFDF39B2, 0xDB139034,
+    0x5BE9C8C9, 0x1915F818, 0x852ACD9, 0x58BFF825, 0x64AF5C20,
+    0x1F13AFAA, 0x8A5A1E9D, 0x57870533, 0x98A418CB, 0xCEBDAD9D,
+    0xFA54CB95, 0x707D0BBA, 0x26EE1F10, 0x428CAAC6, 0x33AC77D0,
+    0x6879957E, 0x522DCDE5, 0xE29E9579, 0x4AB0C59C, 0xB5FA1395,
+    0x4C0BA116, 0x297A0F00, 0x440CD4CD, 0x63BCFEC0, 0xAC14638B,
+    0x3C7DF738, 0xC213D3AE, 0x5CA0779D, 0xB49A3458, 0x678D95A9,
+    0x281735D2, 0x1911DA83, 0x3A5EA479, 0x2C1090F6, 0x40C0D5E7,
+    0x33AD6433, 0x49B076BB, 0xA1C1D333, 0x80474C82, 0xC62FE221,
+    0x87F4E57A, 0x4C5C1506, 0xAD5E1E10, 0xE435A8C6, 0x96D7E0E8,
+    0x53E54D01, 0x7EECEA8B, 0x699C41E0, 0x181C6479, 0xAE6E687E,
+    0x2FD27BB7, 0xDF60DD39, 0xC38A3AC, 0x5AC51EC3, 0x8F1205E1,
+    0xBD71109C, 0xCB2CCA62, 0x236D9D16, 0x45ACA6BD, 0xB33BDCE1,
+    0xE1D9134F, 0x410F24FB, 0x3BF34DF6, 0xB799F963, 0x1B2D4C07,
+    0x8D92C15, 0x9CA0073, 0x76772A47, 0xFBB63B16, 0x78F3C3B7,
+    0xF118B4A6, 0x8E86A34A, 0x56693D7E, 0x381EA186, 0xCB9B430D,
+    0xAD11DC36, 0x599B3370, 0x7A6B80C0, 0xF2A282DC, 0xF58F96FF,
+    0x97AADB3A, 0x5AA06FD, 0x44A43553, 0xBE8097C6, 0x4CF5002D,
+    0xBADE20DD, 0xFEC25B7, 0xC8B50C4E, 0xF0C899D4, 0x815F9958,
+    0x77772B46, 0x7413F82A, 0x7203A939, 0xF4623F73, 0x35EE625C,
+    0x2723BC68, 0x33790B09, 0xA58391E4, 0xA27C7C25, 0xBC032556,
+    0x1D812AD4, 0x301BB65D, 0x22FAF223, 0xDCBB79DE, 0x78CE1CBF,
+    0x570C796B, 0x17EF8909, 0x8E2C32E5, 0xB54FF82F, 0x7702F70,
+    0x1C0A78C2, 0xCB3078DF, 0x7155531A, 0xEAC77450, 0xB9DC2EDF,
+    0xA8B6A1A6, 0x57FC52F0, 0x6B5543E4, 0x40679BEA, 0xE46813E7,
+    0x65525695, 0x6C9CD43C, 0x5E5BD786, 0x44212626, 0x847A8357,
+    0x7E39813D, 0x9FE22F0E, 0x29EC985A, 0xC91CF47C, 0xB31A26AC,
+    0xA4C8B43C, 0x8EAB7865, 0xF6F2F67E, 0x3F73A8DC, 0x4FAF5455,
+    0xE1253CAD, 0x3001A083, 0x532DEAE4, 0x6A110DF6, 0x585D0FDE,
+    0x19071CC0, 0x1A351A69, 0x2FEAD890, 0x33902499, 0xA218C193,
+    0x2294A970, 0xB0544EA1, 0xC54B25F0, 0x6C89048C, 0xC8203390,
+    0x237F30DA, 0xE8F10E5F, 0x6B57E331, 0x43744B6E, 0x2EEF4BB4,
+    0xEBD13AA, 0xA9024B04, 0x22895C31, 0x321C459A, 0xFCEFD3EE,
+    0x94772392, 0xA094B3F3, 0xC070FBB2, 0xF30ADCDF, 0x8D294C6E,
+    0x89E4C299, 0x47DE058E, 0x841A807E, 0xDEA7608F, 0x3A45D7AE,
+    0xFE08A063, 0xF2C65E08, 0x4C653ADB, 0x8E4BED1C, 0xC85C1323,
+    0x63DF1750, 0x4EF4B72F, 0x209903A9, 0x3ECCC1C6, 0x4283795A,
+    0x205AC943, 0x38B1ABE3, 0x1241AC5D, 0x7C645871, 0x747695BB,
+    0x29206570, 0x31BACE6E, 0xFDEEDAC9, 0x4DEFF536, 0xCD6CFDC0,
+    0xEB0FAB42, 0x7DFA5EB6, 0x8363D9BA, 0xCFCD2514, 0x69FEB823,
+    0x10BDBDCD, 0xE4C27020, 0x56DCF966, 0x9C97BD95, 0xCDAB9269,
+    0x8316F55E, 0xC62F7354, 0x5415281A, 0x31EBDCED, 0xCDF7A05D,
+    0x5F674F71, 0xF70EE58B, 0x26037964, 0x584174B4, 0xFEA5520C,
+    0xD01A8007, 0x7F2772E8, 0xC2FF1456, 0x7B2CA1FB, 0xE938BBD0,
+    0xD96CCCF2, 0x9AE8088B, 0xF3A25E6B, 0x3780417E, 0xB9E2917D,
+    0x95872990, 0x12D99C68, 0x2FC5DDB0, 0x55437D2B, 0xDB9C14B7,
+    0x6BBE6AF9, 0xFBDC9201, 0xDCB32A70, 0x1CABF45D, 0xD8BCBF4F,
+    0x271AE6A5, 0xD34B8953, 0x58BBFB3A, 0x537F049A, 0x55B51226,
+    0xCD809DC9, 0x846DB4EB, 0xED476D72, 0xEFC8F8AF, 0x6AA3228D,
+    0xA363F656, 0x2207127, 0xA1BBE245, 0x2AB58A00, 0x637810C9,
+    0x91F61AD, 0x347D333B, 0x1E9598E3, 0x2E7BD8C6, 0x8DCE469F,
+    0x73B82620, 0x9257D4E0, 0xD9580F88, 0xE8EF6D53, 0x2D9FAC45,
+    0xB56E2C6, 0x9B369045, 0xB50702C6, 0x955D3700, 0x577CC21E,
+    0xED02FCBA, 0x73320B99, 0xB55DE16B, 0x7F578129, 0x3F6FD052,
+    0xF211A764, 0x9B7F9204, 0xC61EDC01, 0x1363AA4F, 0xEFAF1CF2,
+    0xE5AF97EC, 0xEEAD4FB7, 0xF41B649, 0x373087FB, 0xE81355EB,
+    0xE04FF410, 0xFD04F4F7, 0xFA269CEE, 0xBE8D7535, 0x5FC007DE,
+    0xCF085F76, 0x94D7201F, 0xAF49F41D, 0x8D6E7F, 0x9D63B6ED,
+    0x9A2A0877, 0xF06123D9, 0x6624C891, 0x508266E4, 0x6921EAA4,
+    0xD6E69A49, 0xCDA0F920, 0xA5870B5E, 0x1A93A2CF, 0xE3A030C6,
+    0x6EC03FE5, 0x37FDBDF6, 0xBEFD0BFF, 0x3D3CBD0E, 0x2DDBFD7D,
+    0x8B58AE2B, 0xCAD61AF3, 0x624F4677, 0xC402CF5E, 0x431D2CC1,
+    0x5C205AE5, 0xFC3B8ED4, 0x501C36DA, 0xBC9217E5, 0x6752573D,
+    0x3BE702E, 0x8E06CF12, 0x81494C86, 0xB2DC2F63, 0x792EC845,
+    0xC6BDEDB5, 0xB255BA4B, 0x6C66C28D, 0xD1A16904, 0x93ABFF21,
+    0x94827FC4, 0x87825689, 0x314D1F33, 0xC0D8B98A, 0xC84AC57D,
+    0xEBDB0F92, 0xBA4F473B, 0x61130498, 0xA534064B, 0x3DC04FBD,
+    0xD0A701F2, 0xA671765D, 0x17464B7E, 0x4CCCB84, 0xC297BAED,
+    0xAAF8C84A, 0x631313F, 0x8E0FD926, 0x1699F616, 0xD9808C9D,
+    0x55BF5BC2, 0x27FD10B0, 0xAE975927, 0x92B3F52F, 0x9025C6B3,
+    0x95E5E313, 0x4CB83334, 0xE4A1E7B8, 0x74F7D3D5, 0xDDDC42B9,
+    0x5A89BEF1, 0xF66A6AE5, 0x33730C23, 0xEB7F079E, 0x742FEF19,
+    0x2C68CAC5, 0x2410679F, 0x9D1632DA, 0x458F4AAD, 0x8889E6AE,
+    0xA3B48216, 0xC9AF4AEC, 0xA506C8F6, 0xB6AF9E59, 0xC6340436,
+    0xA6B294E, 0xF35CF92B, 0xEB3A4113, 0x98070AD1, 0x9E61E01E,
+    0x58C2893A, 0xCC1F8C34, 0xCAD665A0, 0xD0414D39, 0x643BDCD8,
+    0x8AF801AD, 0x9ADBB106, 0x2BD02351, 0x8F890436, 0x546747D0,
+    0x6DC33C48, 0x95FA7FD6, 0x5F12C5A5, 0x5DF2761D, 0x9A9B2F8A,
+    0x8C61276B, 0xACCC7F4, 0x37A5829D, 0xF1A0F1, 0xAAED57E0,
+    0x180CD2A3, 0xDC393CA7, 0x504E7405, 0x89DE2F7, 0xA4D8C4EA,
+    0xD8BECE01, 0xD664017C, 0xF57FA30, 0x6049928D, 0x9832E166,
+    0x176AAC31, 0xA793F88A, 0xCFFA8B54, 0xA30DF1EF, 0x3B6C7611,
+    0xDEFC961, 0x9BFB79F1, 0x1483D430, 0xC3A77C0C, 0x42AC1FA0,
+    0xFA3605B6, 0x9A2EBDF0, 0x684D414E, 0xD9308E10, 0x64D68C19,
+    0xA8A9B67B, 0xF5E7B9D4, 0xC7B70ACE, 0xA6EB6DB8, 0x8A22FBE2,
+    0x3AFFDDA1, 0xFB61F7D5, 0xE057717B, 0x846D96CB, 0x20A4B400,
+    0x574089BB, 0x9F3D2DBD, 0xEEDDDB4B, 0x5E64EA6B, 0x6781DC90,
+    0xCFD86A6, 0xA92441CD, 0xAC5DCCD6, 0xE6BB5582, 0x32FA6B3F,
+    0x3ABB8A64, 0xA49D2003, 0xA965E430, 0xEC4053BB, 0x95859D40,
+    0x2672832, 0xCAC3E608, 0xF8C13A53, 0xB04EC2A3, 0x87F54941,
+    0x62A3A924, 0xE0B48702, 0xE8700446, 0x95BD4B11, 0xCFCFDF9A,
+    0x19F67E7D, 0x60853AC6, 0x468F963, 0x298066B9, 0xEE53E89A,
+    0xFC63E607, 0x6FA101E5, 0x8B2F1F84, 0x24AE7C1C, 0x385008FF,
+    0x96E75EB6, 0xF1175277, 0xE5B4A577, 0xB0C97AC, 0xC21CC45A,
+    0x5C680DF8, 0xDEB046DC, 0x1487FC03, 0x1D90CE3C, 0x712563BF,
+    0x65A26CD9, 0x4D094F62, 0xB5DFE29C, 0xF58B2A62, 0x9420A9DC,
+    0xCEC7537F, 0xC46D1FCA, 0xAD5D7B10, 0x68777A24, 0x6C096D2,
+    0xD787D72, 0xC7743F50, 0xB3D05F4D, 0x53E0A7E3, 0x9E627C6D,
+    0x1AA0959F, 0xD1E00E47, 0x8874BA26, 0xCEAC0958, 0x10F67BBD,
+    0x712C6597, 0x3478BD73, 0x4D6F116, 0xD30BC24B, 0xB98C565A,
+    0xD7C5B116, 0xA8CDAC4F, 0x4144673, 0x848F37E3, 0xADD946EE,
+    0x6F17EAE3, 0xEA0FA265, 0x41DB99E0, 0x6BCFDA5A, 0xB46ECED5,
+    0xAF67610E, 0xC7E9DF2C, 0x5CC6F0C6, 0xAB2C2BA, 0x6BCC3881,
+    0xE482C243, 0xD8053417, 0xFFDB6E41, 0xF13EEB84, 0xE8292661,
+    0xEB9940A6, 0xF0B45F98, 0x1CA82AF4, 0xCCA7771D, 0xDD5F3CFE,
+    0x58BD8E91, 0xDF9E3342, 0xA1003957, 0x4621AF52, 0xF926F465,
+    0x209925AD, 0xB1C72F09, 0x3FAB8ED, 0xA15C0A17, 0xDBE73D2C,
+    0xF917CE51, 0xED047661, 0x7361B752, 0x1AAA57A8, 0x31445667,
+    0xFEC0FD81, 0xE3073574, 0x7D36F720, 0xF418181A, 0x1CB8758E,
+    0x8E85AFBA, 0x407E9AD9, 0xF724E308, 0xD030D3ED, 0x4610418E,
+    0xE799EA4D, 0xF8B68F92, 0xB84B9ACD, 0x4B8168C0, 0x9888977,
+    0x216F3B3E, 0x5C49C1DB, 0x759E718D, 0x7C4309FF, 0xBF6DEE2C,
+    0xE566F231, 0x774B0A7A, 0xBE55CCFF, 0x3081B8CD, 0x2284369E,
+    0x2FDF7473, 0x3AF68AC7, 0x6047E9B8, 0x3743BA0E, 0x691D261,
+    0xADC440E1, 0x24150207, 0xFBFE466C, 0xF767E860, 0x8157332E,
+    0xFB54D774, 0x1AF34C22, 0x74E05695, 0x2101FD57, 0x2904274C,
+    0xA1294E9A, 0xF43CA18F, 0x4FA79EB5, 0xAFD1C9EE, 0x6EB3953F,
+    0xDDFCB3AA, 0xDB48F7BA, 0xE1742183, 0x8A78CEBD, 0x225CD669,
+    0xD76B771A, 0x3520113, 0x428B2892, 0x3A5CE8DD, 0xAB4AC42C,
+    0x2928BE8D, 0xC34E3031, 0x93F0CB9B, 0xB7A6FDB4, 0xEEB2B85E,
+    0xC393597B, 0x9D8457EF, 0x91F0F0FA, 0xC54AEA3C, 0xC639521,
+    0xB668AFE4, 0xE4CCE3CD, 0x86223A5D, 0x6A51A2EB, 0x4333C505,
+    0x3233B8B7, 0x1D01F51E, 0xF0C691A6, 0x699EBC2C, 0x7FEE8DBC,
+    0xCC50E42A, 0x7951DB68, 0x8CF01752, 0x33D33841, 0xB46E353A,
+    0x700B65B, 0x59ACA844, 0x38631893, 0xC32D0F92, 0x6897EFDD,
+    0x3F93BCDD, 0xD50E33C3, 0xD0075F1D, 0xB3CB6096, 0x875896CB,
+    0x5DF6651, 0x8E2D197F, 0xCDF68F10, 0xC74018CE, 0x83E6C42A,
+    0x994DEA76, 0xF932D8AF, 0x98775C2D, 0xF79CAAE5, 0xF2BEB839,
+    0x7318C6DB, 0x3AFD6D85, 0x37F18BDF, 0x10194867, 0xA73B5205,
+    0x3F06A1BD, 0xBC8026DF, 0x531CF753, 0xCAFAED74, 0x817C9E70,
+    0x32338A3F, 0xA5177C74, 0x9A3C131F, 0x90F9AF0, 0xE9281B62,
+    0xEDD87C1E, 0x16577CB0, 0x5E3F7AC3, 0x4E49E1EA, 0x495C1B67,
+    0xC282F5FE, 0xF8993B1, 0x47563C68, 0x49FA0716, 0x26A55B80,
+    0xDF870F8D, 0xFBB8DDA5, 0x130EA4E3, 0xB0B66F1A, 0xD7B92F0F,
+    0x55FD4759, 0x6D11AC86, 0x8AB0B6F8, 0xD8C8C8B0, 0x758DA8A,
+    0x9CD589F, 0xB808C0A0, 0xB2C7A3F3, 0xBA40DA44, 0x937532CF,
+    0x279CFDB2, 0x545896EA, 0x387A8F38, 0xB2E5F9D0, 0x7566CA0D,
+    0x51B45DC4, 0xA93B6EAE, 0x1C22D8D5, 0xEB96BD1D, 0xB8F40750,
+    0xCB7DCF85, 0x188F6018, 0x95BA817E, 0xF7C19E4E, 0xAAF97DDA,
+    0xE5BD967B, 0x1604352F, 0x3758C3BB, 0xE2FA13D1, 0xE3666F4E,
+    0x218059EA, 0x2F4750EA, 0x2F065B46, 0x8FC4F43F, 0x2F45422F,
+    0x45928A5E, 0x77055776, 0xBB8103E1, 0x160EFF29, 0xA704F79B,
+    0x6655E735, 0x2C19DC79, 0xE407A7CD, 0x9F4AE1F0, 0xBED7DCE5,
+    0xA870A304, 0xDC413709, 0x903181E, 0x7C1F6803, 0x44971A01,
+    0xF7A81ED1, 0x5DDFB023, 0x2D90CFBB, 0x7F7A432A, 0x35F3F5B0,
+    0x7D935FC5, 0x1D99E7BB, 0x8EFC82B0, 0xAB0DEF56, 0x70702FA1,
+    0xCF0064DF, 0xDD9DEAA9, 0xF05F927B, 0xB483A6DD, 0x9B7388B8,
+    0x2FD82389, 0xAC982F20, 0xC86AD76F, 0x15C6977C, 0xAB10A137,
+    0x1433E4A0, 0x2762D44, 0x1CB5399B, 0x310A54D8, 0xD4B8623A,
+    0x40FAB5F3, 0xC2D51618, 0xC1F4AF55, 0x17C18E1C, 0x4F37D33F,
+    0x2DC9F168, 0xF5BB9754, 0x716FB1F4, 0x7CFB1CE8, 0x1333224D,
+    0x344C13B3, 0x7798CB50, 0xB4278C76, 0xD7CC1B03, 0x168B21E5,
+    0xF7D77AAB, 0x3B651846, 0x639EB0CD, 0x68EB3E8B, 0xEC82FE45,
+    0x622A71DE, 0xAA05B6CB, 0x878B59B1, 0x3E7FB616, 0x1D650408,
+    0xF21F8C64, 0x9BF7BF7A, 0xA0874898, 0xFE4E3C6E, 0xFA36122E,
+    0x1BCDF4FB, 0xC371B365, 0x8F791BB3, 0x9833AD98, 0xE84887FC,
+    0xF8988AB6, 0x180916E2, 0xB587E39C, 0xD5C884C6, 0x27B6BFEB,
+    0xD8868D1E, 0x689DA503, 0x936B4EFC, 0xDE0DB3C, 0x7950FDCB,
+    0xA61C81C5, 0x9F1C93B2, 0xC983179A, 0x6F847EB0, 0x6F7F899D,
+    0xD270412, 0xCC255717, 0x763112A0, 0x8725C96D, 0x48BC2863,
+    0x85F13BF0, 0x6D8E0251, 0xB7E66CC3, 0xA4F5829F, 0x8779F381,
+    0x16A5E04F, 0x3DF42C14, 0x367F06A3, 0x3BF8666C, 0xC6649CFB,
+    0x4DD9808F, 0xB4F9AFD, 0xC2642410, 0x9740E4F6, 0x8FB667BE,
+    0x4D4B0D3E, 0xE9B236F7, 0x6E30550C, 0x79DA7B48, 0xE721889D,
+    0x79D9B21A, 0xA06B8C2E, 0x997B1696, 0x4383FC27, 0x8B77D293,
+    0x6FAE2A9F, 0xB45ED194, 0xF38E2C59, 0xEAA0D05C, 0xA3BC449A,
+    0x6EB0BB4B, 0x6B242CFF, 0x7FCA0B8A, 0x47221D33, 0x4E18FE39,
+    0xF4691580, 0x6D03D791, 0x3B937AC5, 0x9CB761C3, 0x42812232,
+    0xFB987D6C, 0x86AD164E, 0x5D8CED49, 0x22D6D058, 0x42FADF98,
+    0x9363A1B3, 0x83C6DB74, 0x7AF44F4E, 0x20086D60, 0x7A37665E,
+    0xC4A29C82, 0x330F278B, 0x8750B539, 0xDD2E83D0, 0xB8E002B1,
+    0xF2A9323F, 0x91B60885, 0xDE83F01D, 0xACA126, 0x2F0FADA2,
+    0xC0E879A6, 0x7C715655, 0x16642BA2, 0x43B9C083, 0x95F6789D,
+    0xE6576886, 0x46BEF133, 0x84199FC3, 0xC45BA082, 0x26489AC1,
+    0xA4FE268A, 0x633A25B0, 0x4FCD341D, 0x8E7374B3, 0x7F8A3466,
+    0xC82B53F7, 0x2E2114DC, 0x59213BE7, 0xE72A2395, 0xAC5F982B,
+    0x8F63E9D8, 0xA68BA42E, 0xF0E30E92, 0x580FD13A, 0xB2FCB7EA,
+    0xF3E4C077, 0x2C8588B, 0xC31F5E5, 0x104982D9, 0x2C2F03E3,
+    0x8F1791C, 0xCE14310F, 0x1696133B, 0x1BC68D6D, 0xFC488B95,
+    0xE0E7FC31, 0xBDF0152B, 0x24F78B82, 0x45BD4367, 0xC89AF4B9,
+    0x9698650F, 0xFB2E131A, 0x82B7A451, 0x9F6990FE, 0xB6EDE6BB,
+    0x68D5D90, 0x51FE559E, 0x9B54ECE, 0xC09D3AB2, 0xD9BA990B,
+    0x4CF02BC, 0x70067D7, 0x3568DF20, 0xFF1D7AE4, 0xF1C67DE3,
+    0x5ACC7F95, 0x89ED16EB, 0x6EDCDC94, 0xDF367991, 0xF1D48A79,
+    0x21AA30FB, 0xADA2B5B3, 0xC40A5761, 0x5769556B, 0x5E1510A2,
+    0x5741566A, 0x25B88D83, 0xFD22574E, 0x6E9B2CD2, 0xF5CE960B,
+    0x67F938EF, 0x1A1E3672, 0xFBCE5BDB, 0x756BACAB, 0x2F177A71,
+    0x31F3EFC6, 0xB8263FBA, 0x9A1F772A, 0x84DC1FB0, 0xC907ED89,
+    0xAD3C6092, 0xC225B6C8, 0x37EE4F54, 0x4BDDACF2, 0xB5E944CB,
+    0xDC26F39E, 0x3BCE02DC, 0xC01F2632, 0x89AFE3ED, 0x600757F7,
+    0x4804A684, 0xC4F3FCB8, 0xEBCAA904, 0xE0069A2E, 0xA2FBD213,
+    0xDB736C4, 0xA6930699, 0x71FB43C0, 0xF66C955C, 0xFBD39B5,
+    0xC87D1801, 0xE9D2DD1A, 0x78DA23CE, 0xCADBA5C9, 0x77015761,
+    0xF5581BDF, 0xDEB4DAA0, 0xAF7E41B0, 0x71347196, 0xF8A29A93,
+    0x8DA3BAE6, 0x73396AAD, 0xD4DF7765, 0x326AFF23, 0x27888A0C,
+    0xE48AC062, 0xB9F18047, 0xDE9830DA, 0x8EF78C4D, 0xFBC1896E,
+    0x9BB566A6, 0xB640ED13, 0x8B0D9D1E, 0xD84B471D, 0x4040EFB4,
+    0xF6DF7908, 0xCB8ACF04, 0x253494DD, 0xA85F6D88, 0x1326822,
+    0x61EFDFB8, 0x1C78154F, 0xB13866B1, 0x3ABE5DBB, 0xBB5907BF,
+    0xA1A57FDF, 0x410549C8, 0xA9A364F4, 0x2A371B73, 0x24AC7296,
+    0xA01C035C, 0xE839029C, 0x6E12051E, 0xE6A549FD, 0x345F10FF,
+    0x3BB57347, 0xBDBF3A6A, 0x2A41C3C8, 0x6E0232B0, 0xAE66D42E,
+    0x3BE90433, 0xE185FBF2, 0x9BCA91FE, 0xF4FFB74E, 0x142B6971,
+    0xA75CD7B, 0x9B900DDD, 0xEC56B79, 0x2FE0CD8D, 0x87BE8237,
+    0xB38A7226, 0xB5D8B437, 0xAAADC41D, 0x8014E227, 0x38D84DD1,
+    0xEDF5294F, 0x862F0F, 0xD69F77F6, 0x409C3B68, 0x2F12B0FC,
+    0x32A670B9, 0x5746EE2, 0x96B4901A, 0x57208639, 0xA282A77D,
+    0xE9D9F48E, 0x651ADDA6, 0xFF5E974C, 0x37C833C, 0x41F2BD58,
+    0xDFE1D009, 0x32222DA6, 0x22201781, 0x64A06BAF, 0x8F188902,
+    0xA9C2A07B, 0x617C7DF7, 0x842DA704, 0x40AFDB72, 0x49625110,
+    0x72484F13, 0x7340AC89, 0x6C6A2F36, 0x828EF5F9, 0x20344923,
+    0x21D3304F, 0xD6EEB7C3, 0x8F99732F, 0xEBA045D5, 0x5C0065D4,
+    0xEEB5E899, 0x1B079C47, 0x6198EE3B, 0x946A805F, 0x7C19F966,
+    0x75E8F043, 0xFD9880BE, 0x47BF619, 0x9C001ADB, 0x7438184B,
+    0xA3787EF2, 0xA461EF4E, 0xEB515D0E, 0x64EFA69D, 0xD41F3145,
+    0xD08A900B, 0x495968AC, 0x746639C9, 0x43E85DCB, 0x62E55B3,
+    0x6B913D8E, 0x2685D73B, 0xE4F98C19, 0xB404BD4B, 0xFEA327C5,
+    0x1E0CC908, 0x71BC53EA, 0x530AAECB, 0xBD2977B, 0xB661A52,
+    0x86560EE2, 0x250E2591, 0xDA57D5B3, 0x347D3C22, 0x6CE15221,
+    0x6E5288EB, 0xA79875F3, 0xCA89972F, 0x36E93777, 0x257262E1,
+    0xD1D4E5A4, 0xF7ED5D52, 0xECE58036, 0x644ACA69, 0xCA36DFB8,
+    0x60EAB44D, 0x46FB8AB3, 0x81E6C199, 0xD5AA5C63, 0x4A7CB01D,
+    0xFCC109CD, 0xD999C46B, 0x3FA4C688, 0xC95C0FBE, 0xA1E9DD3,
+    0xBE9EAEF6, 0x1A3014D7, 0x729A662, 0xDC8178FD, 0x7FCAA1EF,
+    0xD4005420, 0x2A904DAD, 0xEE7E52DB, 0x886C0F23, 0x12D49E10,
+    0x2B3F3B39, 0x3373A6C6, 0x5D0759F5, 0x8CF5EF25, 0xCE02371C,
+    0x2FFEEFDE, 0x5D9CFD69, 0x2B5BB7D0, 0x5A378EA9, 0x5BED8331,
+    0x9C1A37CA, 0x702799F, 0x4D37A8EB, 0x370CEDF8, 0x43B95BE0,
+    0xA0C1E534, 0x204130B2, 0x8E4995AC, 0xCF1C3C28, 0x3E901F78,
+    0xB0F43C57, 0xED4B7492, 0xABD3C5CD, 0xEA95ABC4, 0xE03B739A,
+    0x58388E80, 0xFDF22044, 0xF4379C7E, 0x87CFA0C, 0xAE9CA79E,
+    0x41DCB004, 0x8F69512D, 0x73ED4756, 0xE215297A, 0xD931A6AD,
+    0x59866B3D, 0x61825B1D, 0x4F5099E1, 0x25AE168B, 0x1272D5C6,
+    0xBE071035, 0x24314F71, 0x82F4B23F, 0x6C7F3385, 0x36CF0505,
+    0xB71C0E3D, 0xE9F881D0, 0x27F0C290, 0xF4BE30D7, 0x88315CE8,
+    0x9E04FD20, 0xDE197591, 0xCF0D2FF4, 0x67A4C473, 0x158447BF,
+    0xA4B37C88, 0x27918292, 0x5FDE3DF0, 0xE8A93C3D, 0x886287E8,
+    0x746E199B, 0x9A894103, 0x7A529374, 0xA195E2AF, 0xAA3EB0C6,
+    0xF70788A9, 0xCE2B7F30, 0x9C4724AA, 0x902EB7A8, 0x2CBBB407,
+    0x3799651F, 0x9016E9D0, 0xD1C0ABC8, 0xC7684FDD, 0xE4670051,
+    0x25B69E83, 0x1CEC9BBF, 0xD066D2B4, 0x2AD4BF14, 0x7AFBD3CF,
+    0xCB8E5EFA, 0x63B67572, 0x89F7E3F3, 0x8E8D39E6, 0x60617ECD,
+    0x9EECEA31, 0x59E57FAB, 0x807AFCD6, 0xFD0397B8, 0x3C57D963,
+    0x9A972CF5, 0xFC47B628, 0x9CCFAA8B, 0x405869C3, 0x3CC128C1,
+    0xE154C33E, 0xBE53F87D, 0xD23C7947, 0x4CBEB3BB, 0x1F068FFA,
+    0x8A7D350A, 0xB822F33E, 0xFB3BB431, 0x741D2D0F, 0x81FAFE09,
+    0x80B8BA3C, 0x30B4BE94, 0x4B2A2909, 0x31740925, 0xE68C0BC9,
+    0x8E7F31D4, 0x29DA2599, 0xB9D267C9, 0xEDE811D2, 0x8BC7CBC3,
+    0x69DDA8B6, 0x879E1212, 0xF915F0F1, 0xBBCDB1AD, 0x3A01011A,
+    0x7CD005C4, 0x475FC718, 0xF03F454B, 0x7457F264, 0xB22D9DFD,
+    0x569DE931, 0xB585EFEB, 0x9A183445, 0x9CB353AC, 0xE3AA9817,
+    0x32E0722, 0xF0C7595E, 0x316DBD6A, 0x96D0F65C, 0xA6F0ECCE,
+    0xCB8A9494, 0x5B077241, 0xD36BBC7, 0x9C4CD0F9, 0x108F5B32,
+    0xC43C599A, 0x7B10108A, 0xA4106EE9, 0x3860CF99, 0x87B782C,
+    0xF667524C, 0x129929C, 0xEA85C1D5, 0x1A07973E, 0xB9524891,
+    0xBC02BD1F, 0xF378D7F, 0xD0BED4D7, 0x5B782DE2, 0x738681A,
+    0x4BA1192C, 0x46DF1224, 0x4529AED7, 0x9B1DB01D, 0x810AA334,
+    0x661982C8, 0xD3B32F94, 0xF50AC9D6, 0xCE9107C4, 0x203078BF,
+    0x6B0F3B2B, 0xCF63520C, 0xACA9E5BF, 0x7FBE448E, 0x51BD1E2F,
+    0xDF958295, 0x114A9693, 0x60FCBB39, 0x6669B642, 0xC490D54,
+    0xD19C8DBC, 0x14CC7B2A, 0x7106D506, 0xAFDADD98, 0xAF398DF4,
+    0x88AC5400, 0x1912BF0A, 0x5389D050, 0x5AF6233, 0xF10842A3,
+    0x94DD7008, 0x93812804, 0xD8111DFD, 0xB7C97490, 0x7748A45E,
+    0xE70A47A0, 0xC29B718E, 0x55783AEC, 0xA2789E21, 0x97488EBC,
+    0xD9222F6A, 0xBF74BDD2, 0x9A983E5C, 0x6CC067D5, 0xBCFDD3B2,
+    0xD7A2A5FE, 0x4733F2F5, 0xC7AA3556, 0x1CDB485D, 0x31755CA0,
+    0xB9F8E9A7, 0x1346410D, 0x7D885AD7, 0xA30030D8, 0x9813B41C,
+    0x8A64EFD4, 0x273F4CED, 0xFEDDC3FD, 0xF34D9687, 0x6B67F2DC,
+    0x13F72B5A, 0x96445DDB, 0xAC94658B, 0x8FBF54BC, 0xA7C13389,
+    0x95814EA3, 0x7823E5BC, 0x544C27DB, 0xECE6439B, 0xD1141B27,
+    0x7A95ACF4, 0x806E58E7, 0xD07B5422, 0xFD0353AE, 0xC1840431,
+    0x1DD89E9, 0xA102016D, 0x3730505, 0x1F91E46A, 0x3279C793,
+    0xA060010D, 0x9BF86C80, 0xD0C35484, 0x33E81EF7, 0x1C4D3EA7,
+    0x6C2A9935, 0xD65E2FB1, 0xBB1CA42E, 0xEA3E3609, 0x7B478C84,
+    0x70C1DF93, 0xA872CA92, 0x7C025178, 0xF3B19C7D, 0x6F2BD89B,
+    0x1AD7BBDC, 0x39A48FCC, 0xAB5B72E1, 0x821761B9, 0xD2368C1,
+    0x20ABB349, 0x29A3F960, 0xFDB18DF1, 0xC4118A52, 0x5E28E88A,
+    0x549A3386, 0xD81024CE, 0x82DAD5E0, 0xB20BCD42, 0x9DEA0D36,
+    0x49A4992D, 0xAFCB2026, 0xCE7536E8, 0x2C191A65, 0x24FEE0D6,
+    0xA769AB6D, 0xF47E292E, 0xCB501191, 0x6DE13907, 0xF1343277,
+    0xB32AA746, 0xB055DB9E, 0x87CB8583, 0xA546A4C3, 0xF06F809C,
+    0x8FE7A8AA, 0xD0E4037F, 0xD81FCF88, 0xF85830C2, 0x3D6F4840,
+    0x5A43700E, 0xCD300C58, 0x3B81C27C, 0x8AF86EA8, 0xF65935FC,
+    0x46367D7, 0x7FB75E63, 0xBB28A406, 0x173F982, 0xCB92DD14,
+    0xAAA0B1D1, 0x1BCA8892, 0x64D21, 0xFF081A44, 0x8706E93B,
+    0xB7DEFAD9, 0x4A6DEF76, 0xDA1670DF, 0x94ABCEBA, 0x465DA4C6,
+    0x2484496C, 0x97BB3321, 0xEFB09CB, 0x2988AA2E, 0x2722344E,
+    0x5301B744, 0xC5E16C47, 0xF7E05D01, 0xCBE7C20F, 0x4882A6EA,
+    0x7168CF40, 0xA98A2747, 0x35F8E15A, 0x5FAF49F9, 0xD2008D24,
+    0xCC45A63, 0x858A3255, 0xE4C095B6, 0x7074F7A5, 0x699C98FD,
+    0xF0BFE2EA, 0xBDA35C64, 0xE83B891D, 0x7CD09FEA, 0xE8735FDD,
+    0xFEA27F06, 0x631D71D3, 0xA08136CD, 0x42395363, 0xDCBA6E41,
+    0x1562897, 0x4B1061A9, 0xB4F9640B, 0x38D24E3E, 0x76DF4423,
+    0x94B5ED97, 0xFE6AB3B6, 0x6B329B8B, 0x37AFD275, 0xC9ABA12A,
+    0xEC9693B, 0xD49B5585, 0xE0C2BEF7, 0x315D40A8, 0x34FBE3A,
+    0xEBE81550, 0x569F6FC8, 0x5A9C8404, 0x9DBA0090, 0xFE985DE8,
+    0xFF4209AE, 0x89F9E7AF, 0xF841164C, 0x6B4B8F5D, 0x95CB1085,
+    0x1990660C, 0x31263B36, 0xCF8F435C, 0xDEBCF88A, 0xD1EE25C2,
+    0x53D80B69, 0x9EB8F01C, 0xD682EA3C, 0xEEE79205, 0xA7EFAC65,
+    0xE9AA6899, 0x3C1E197E, 0xC8ABE1E9, 0x7BEFE9CA, 0xE792E7D4,
+    0xA955D60F, 0x3FE8A02F, 0xC963FDC1, 0xB3D53E43, 0xE28FFC12,
+    0x7D5BECCC, 0x18E9F223, 0xBC8B0465, 0x7ED8EEFE, 0xBB90FFEE,
+    0x904A9F3A, 0xBC467FF, 0x8AD43A15, 0xF3FC404A, 0x2492D5F4,
+    0xBB3F5025, 0xBED0B8BF, 0x467FE6C2, 0x36E55C77, 0x8E2CAC4F,
+    0xD12D325F, 0x68A4D268, 0xB1AA0895, 0x755B98FC, 0x2314C4FF,
+    0xC3667346, 0x8003B9E8, 0x1185476D, 0x227B69D8, 0x5BADD019,
+    0xB06567BF, 0x2B837581, 0x9E11F7, 0x158E67AE, 0x339AA6FC,
+    0x8FE50AD9, 0x65902A97, 0x42917220, 0xF9AD39C, 0x2DAAD225,
+    0x9673B896, 0xFAE150D6, 0xBEDE3417, 0xD233D722, 0x7E67F33C,
+    0x6E150E30, 0xC856792A, 0x28EF69BA, 0xE2AC7866, 0x928D0A4A,
+    0x8032C4A9, 0x3D413533, 0xC1BA5CCA, 0xD2BDAC83, 0x94198A14,
+    0x3A25972F, 0x253EC030, 0x42D7A1F5, 0x97C28C1C, 0xBE4D0710,
+    0x92F31B62, 0x73CA2F55, 0x15FC5417, 0xEF76B1C6, 0x655A963D,
+    0xBC17C3FD, 0xD5BED3BC, 0xAB0E4857, 0x38BAD61A, 0x8C17E47F,
+    0xE3C27887, 0x45D2A34, 0x6D48333A, 0xF400B767, 0x6ACF41B0,
+    0x88DA15A9, 0x3FA0EAB1, 0xAF7B3786, 0x87F182FF, 0x4112A079,
+    0x53360864, 0xDB5CE625, 0x630678D7, 0x63E01F17, 0x7BF658F1,
+    0xB5E4F1A3, 0xB30E4393, 0x27454C31, 0x8E7E0E2, 0x2151A5F,
+    0x2892E2B2, 0x92B53840, 0x1EB3D483, 0xA4273A65, 0xF0CC632,
+    0x99AC2694, 0xE0A19111, 0xC7FBA613, 0x46C8F873, 0x88A27741,
+    0x7E9A5972, 0xC2E76F79, 0xA5CA8180, 0xA28FF0EE, 0x2A1F7DE1,
+    0xCC130B22, 0x50ECFD8A, 0xF5BAA999, 0x5FA2EC9C, 0xC1B5C5C4,
+    0x90EC0E5D, 0x9C26620A, 0xA97D2935, 0xE1C08B89, 0xCB574B80,
+    0xB3DE8B61, 0x1AF89CA0, 0xFD4A77DC, 0xED9485E1, 0xAF804C92,
+    0x6B8EB167, 0xDCC836B6, 0x85A7FFFD, 0xD4E9A94A, 0x77DDCC31,
+    0x8897B5F9, 0xA4FA88D3, 0x8ECB3E82, 0xBC175E89, 0x963A073E,
+    0x547520C7, 0xEEB81BFB, 0x1D8B1867, 0x78833A4, 0xE40A0CCB,
+    0xF8D5452F, 0x954BDCF6, 0xAC228FFA, 0xE6B32DF3, 0x181ED541,
+    0xACE26A73, 0xF1C1440D, 0xA1B93EDD, 0xE90FF70A, 0xF6741843,
+    0x4DF581AC, 0xBE785B32, 0x751509B5, 0xC30AD864, 0xC18D8A72,
+    0x3BF07FD4, 0x827B4CBA, 0x7DD39A4F, 0x2CFEFE25, 0xE071F371,
+    0xC0C3F6CB, 0x1FD70F85, 0xFDABDA88, 0x8F308991, 0x4CD794F9,
+    0x5D18B022, 0xC13D5FC2, 0xD84337F, 0xED868BB8, 0x9904CD2,
+    0x7551499C, 0x124B262, 0x5139C2A5, 0xEF56F59B, 0xE8B87B40,
+    0x2F030010, 0x42D2E271, 0x4E344F3F, 0xC87CDFE1, 0x44A615C7,
+    0xC32DB543, 0xCFC889E4, 0x60078825, 0x786F5917, 0x2DF9E82,
+    0xEE26DA93, 0x48D0C94, 0xE97D5456, 0xF487F2EB, 0x35A47D65,
+    0x183DA0CA, 0x1A7E1218, 0x8D2674C5, 0xB38D0910, 0x5D9C871C,
+    0x7B463ED1, 0xBBC90FFD, 0x31DED99F, 0x5171DCFA, 0xF9413D0B,
+    0x632A00FD, 0x7B6DA34C, 0xA475C597, 0x8E157360, 0x5911736B,
+    0xCA19D544, 0xF487D465, 0x6E749BB9, 0x888BFB52, 0x3FDAD497,
+    0xDB5D401A, 0x7015A4EC, 0xC1F571, 0xB2D7671A, 0x8203032F,
+    0x5A755E9, 0x24F25BF5, 0x4D2AC51B, 0xE5950FA7, 0x20196F5B,
+    0x68E90D90, 0x5D24196C, 0x9CFCD1C0, 0x745C0318, 0xEEB977E8,
+    0x14AA16D, 0x80662EE1, 0x7BD55DE3, 0x35EE2B08, 0xD3E8051F,
+    0x3D0EA4B5, 0xD551399E, 0x8FF94435, 0xDD4E34ED, 0x9139E4A3,
+    0xE6AF7E5E, 0xE1ED4EAF, 0x638D2846, 0x7084F7EB, 0xF9705E17,
+    0x2E7A89DC, 0x45855252, 0xBA8E51C7, 0x8510425C, 0xA97AF6D,
+    0xF0C27DA, 0x9E00CA15, 0x3BCC0651, 0xEEC38CA9, 0x19597B08,
+    0x4C68AB5D, 0x16CA41DB, 0x35EFBEF9, 0x1E441529, 0x25131FA1,
+    0xC3D8483C, 0xD8650832, 0x60D271E3, 0x47C92A47, 0x9EFBB554,
+    0xBF5DBFBF, 0xFF421FA2, 0x3A38F28, 0xAE4EE06B, 0x819945D1,
+    0xC43101, 0xA3EE9278, 0x5BAE3EE4, 0x57ACE55E, 0xC3D95551,
+    0xC00717B0, 0x38EC1B28, 0x123597, 0x6314F3F7, 0xB3F99DAB,
+    0x7226CE1E, 0xE8350DE6, 0xD7C582CA, 0xBB1D38D, 0x54E656FE,
+    0x400B60BD, 0x48291A06, 0x97819179, 0x850BF937, 0x93888A87,
+    0xF51E684F, 0x4B111E, 0xC6B37E02, 0x6C923547, 0xEF25AF3B,
+    0x8C12CE8E, 0x89296F4F, 0x3BE2C3DA, 0x8A29A35B, 0xBBE2E80C,
+    0x79D0188D, 0xBD4320BC, 0xAFF4F0A9, 0x7FAE6C37, 0xCCA1777E,
+    0xB06D2AE1, 0x26B6398C, 0x5A3E5876, 0xE814DF4E, 0xC43E9677,
+    0x4C962CE8, 0x6C274FF8, 0x8B5A1A03, 0x963E1401, 0xD8CE0DF7,
+    0x659190E7, 0x3AD63330, 0x894BFEDB, 0xEB4CF73A, 0x3731BC86,
+    0x30FE0433, 0x94F5FD2, 0x8417999C, 0x337E86B8, 0xAFE08EF6,
+    0x5B5F05DC, 0x8001C95F, 0x8C8092DC, 0x5EBC7995, 0xDCBE88EE,
+    0x9C602950, 0xE3376596, 0x5D80E318, 0xAF3AC8C3, 0x8C7EDCC6,
+    0x3E795E7, 0xDA8987AB, 0x7B7B4E3C, 0x3239CD40, 0x1B527DED,
+    0xC95DEF29, 0xE40D047D, 0xE53C10C5, 0x5BAF528B, 0xA47921F9,
+    0x6DCB9B0A, 0x7EA11040, 0xBBEFCCD5, 0x502F33FA, 0xAB5EBE8F,
+    0xD59C448, 0x8C34FF3D, 0x4A3255A2, 0x4CFFDCB1, 0x3880A182,
+    0x3499DAAF, 0xA1319450, 0xC550CCE5, 0x51026E2C, 0x73C4F05D,
+    0x21F5FAAC, 0xE1C31B7D, 0xA390E6E6, 0x7B1582ED, 0xB92B4C3B,
+    0x41C1128E, 0xF728F655, 0x3BC8AE16, 0x8A2A4E57, 0x9A8A7DE,
+    0x86065598, 0x4328A574, 0xDBDAFC7D, 0x2C5EE98, 0xEAB5CE80,
+    0xF7E8F60C, 0x7B4C3C0E, 0xE4A2F720, 0x90330B1D, 0xB6783BF2,
+    0x48A8C26B, 0x847F1AAC, 0x351DB247, 0x43E84AC5, 0xAF726AA3,
+    0x5CB4C059, 0x2C5784DE, 0xBA1111FB, 0x9F427968, 0xE41D29D1,
+    0x2CAA8CA7, 0x764C8B63, 0xBDAA6F10, 0x280277B6, 0xE4A908B6,
+    0xA6A9783, 0xD0643B01, 0x44FE52AD, 0x60B04A5, 0x194C190E,
+    0xF73DA669, 0x12EE11C8, 0x2C769D96, 0x694787A4, 0x9FB03623,
+    0xAC6F837C, 0xFC1E5935, 0x16246787, 0x4F94B817, 0xA3A4281F,
+    0x1535252D, 0x13F8F1CB, 0xAAF6A508, 0xB38E10E, 0x7A4B238,
+    0xC6A47410, 0xC864256, 0xF3C25E27, 0x94CE51D4, 0xF4ECAEEA,
+    0x32684D74, 0x1AC8765, 0xDE6F6313, 0xF8C09409, 0xFB21FD21,
+    0x6DB586BA, 0x241894B5, 0x65806E1F, 0x4B9D0DE7, 0x32DDDD16,
+    0x3B16F0B0, 0xB56CAAF0, 0xC533ED5C, 0xADE48431, 0xB5893123,
+    0xE977699C, 0xB295808B, 0x7A252898, 0xE3748392, 0x687A8ACD,
+    0xB792504E, 0xBF4E2D8A, 0xB5EC4376, 0x754D9C34, 0x17BE53CC,
+    0xC817A127, 0x732346E2, 0x29593976, 0x41D6AF89, 0x9072FAEC,
+    0xC2B22666, 0x16A150DF, 0x4D379A36, 0xE732017F, 0xA6D12516,
+    0xEA3DB9B5, 0x6E4C766B, 0xCA0ADEF5, 0x75E98F68, 0xC31687C3,
+    0x62F16F66, 0x6486B129, 0xE237231B, 0xC6653007, 0x2BE06DFC,
+    0x2BC32DC4, 0x9E3DD054, 0x47AA701E, 0x7741E537, 0xA09F9CD8,
+    0x9D40881, 0x4F02F58, 0x6A5F31BB, 0x32BBBD23, 0x4520EB05,
+    0x1DBFDD00, 0x6CCEC7D, 0x48CFC70C, 0xB41FBC13, 0x5B377E90,
+    0x3B87923D, 0xC09F6D28, 0xC1CF24FB, 0xDD6BE459, 0x8B8BDD37,
+    0xF7B103C8, 0xC1611360, 0xA8B8FCC8, 0xC16D4E2, 0x6AD23606,
+    0x951A051, 0x6FC3B984, 0x95876867, 0xA0E1A04C, 0x8267F62C,
+    0xC4B69588, 0xF53421DF, 0xC348685B, 0x59769E2B, 0x21F0FF90,
+    0x2B978BB4, 0x3FDA987B, 0x216F4FFF, 0x95C68589, 0x2286F5D8,
+    0x81E2702D, 0x88E2D01F, 0xE6F6B356, 0x2EA0C31, 0xA5E11CAF,
+    0xE17DC578, 0x2115A0EA, 0x8DC2B323, 0xEB86957, 0xF3C7BECB,
+    0xBCD805EC, 0x1121C3F5, 0xE6DEF224, 0x8EA2EE24, 0x2703D7B7,
+    0x24D73574, 0x4068552C, 0xA85F5B6A, 0x65B563E, 0x4050954C,
+    0xC7043820, 0x91E4A088, 0x19084C84, 0x7250FB54, 0xC1EC72,
+    0x9FDB2412, 0x3B78E4E9, 0x588C2D17, 0x345C3232, 0xBC7CCB29,
+    0xCB5F1F0A, 0x24EDD656, 0x7A9F0605, 0xC2EDB0E5, 0x7F01D20D,
+    0x8EB211A2, 0x74AC4C1A, 0x37EDEDDB, 0x55B9AFF2, 0x100C4193,
+    0x43CDF2C3, 0x9C75E7C1, 0xC43ABEFF, 0xB9704827, 0xDD4E6376,
+    0xEA5FA0D3, 0xC6E14A66, 0xCB163673, 0x9515389, 0x5D3D30C5,
+    0xD1FF8777, 0xC1347921, 0x21A5BAC, 0xD6CB5F87, 0xC6CE680B,
+    0x46D1E5FB, 0x9B98BC15, 0x8D1446D6, 0x184659E7, 0xAAC79D5A,
+    0x773E019E, 0xA1B9F814, 0x933D3D0B, 0x11DB7615, 0xC206A22A,
+    0xE4EF5BA1, 0xF0EFA194, 0xDE0E6C2B, 0xBE185B42, 0xC28FDE0C,
+    0xE416DD8A, 0xC636753F, 0xAFD119E, 0xB0198B17, 0x94C4115C,
+    0x76EDF82A, 0x66818700, 0x6F003485, 0x993DFB2B, 0xF5A1F91E,
+    0xDAB0080C, 0x7DF290D2, 0x72F65E9B, 0xBC126473, 0xF6050B10,
+    0xB7380CA, 0x3352530, 0x9A403054, 0xB12581C1, 0x6F8E0370,
+    0xBB5C1ED1, 0xCE738AFF, 0xE9F605DB, 0xA976BFE4, 0x68C9D107,
+    0xA2BD1833, 0x545ACCE2, 0x965FBAF, 0x12D998F, 0x2C16B1CD,
+    0xB20788BF, 0x96AADE36, 0xDF821415, 0xF1EBD654, 0x33F3C413,
+    0xF2F2A6BF, 0x2DFB0ABA, 0x96845EC5, 0xB24622DD, 0xA83EEE5F,
+    0x49DF9AF8, 0xB8DCFB8A, 0x16F7643, 0x436EFD30, 0xD90C9F8,
+    0x9C10CD4E, 0x600CB15B, 0xE686606A, 0x5EC0502C, 0x23B2DCE5,
+    0xDD5DE18D, 0x235A755C, 0xCB58A693, 0xACBEAFDE, 0xCA201FB5,
+    0x2AE90380, 0x4F7455EC, 0xCA923312, 0x1BD202DD, 0x2D92B9E3,
+    0xA2670F18, 0x831728C, 0x77D33D8C, 0x12400BDA, 0x9508A626,
+    0x9253042B, 0x63C70C8C, 0x5496452F, 0x9237D610, 0x10448F3A,
+    0x9303C709, 0x660D7EC, 0xDF6750F0, 0xBC4F14F2, 0x8F59720C,
+    0xEE5AB051, 0xD5EC1228, 0xCC3E04CE, 0xE9E4D3B9, 0x8676FA58,
+    0xF523860E, 0xF87D9BED, 0x4A6D02C9, 0xC5AD6CF0, 0x65F09045,
+    0x8C620984, 0xDC40B4CD, 0x4216C291, 0x7A44C04B, 0x1E2B5D31,
+    0xA0E77B7D, 0x12076C51, 0x22262FA1, 0x483B54F1, 0x2A7EF465,
+    0xD1395E25, 0xB564369F, 0xC94A47A4, 0xFD678BAA, 0xECEE926A,
+    0xE41A06AE, 0xE8F293C1, 0x3EB052BE, 0xD0959EF1, 0x93FF1935,
+    0x4D65E4F1, 0xE87FC1F9, 0x3BD4BB2B, 0xD5F24F5B, 0x54FF70D4,
+    0x968C7B60, 0x44F9BDE4, 0xF4894BDF, 0x3CFDDF7B, 0xD5CC3F10,
+    0xD7F952C2, 0xEA3DCB60, 0xEFDAC96A, 0xBBF8F5EB, 0x41526813,
+    0x714E3D51, 0x5E15A386, 0x1286AF4F, 0x5E1E5A3E, 0x676C9938,
+    0xA716071B, 0x14D79998, 0x5CB794ED, 0xD815EDED, 0xCB1CA55A,
+    0x9D6D74FD, 0xBE032C25, 0xF3FE1425, 0xC0CB5217, 0x3931A93F,
+    0x82DB8222, 0xD8FF587F, 0x5AD4E8AC, 0xBCF00442, 0x4298A961,
+    0x9F8CC3C2, 0x60E2347F, 0x7E090E, 0x691B735, 0x3D4C4D83,
+    0x5612B097, 0x7B8DA321, 0x2C28A057, 0xF8FE8901, 0xDA39D0DD,
+    0x465CE561, 0xA78756, 0x3B771E01, 0xE638B09, 0x201853B5,
+    0xF934D7D2, 0xBD515A83, 0xC1B5C34E, 0x89159FA9, 0x2DDE3EBE,
+    0xE27771DB, 0xB5983F05, 0xA3FD869D, 0x8ABA53CB, 0x55C8606C,
+    0xDAB769C3, 0x4C4C2EAC, 0x18EE2A56, 0x88452A07, 0x9767C386,
+    0x5C0418D6, 0xF79CA785, 0xF291195D, 0x9B0C286F, 0x68460BED,
+    0xBF0079E5, 0x9906D932, 0x2F9E5535, 0x2A3C4947, 0xF0E240C3,
+    0xE835A264, 0x43F38C0, 0x82DAADD8, 0x313612B1, 0x560D56FB,
+    0x61BD734A, 0x58FD6B36, 0x2C45C40B, 0x55F70159, 0xA21A817D,
+    0xAAA6FCE, 0x85BFDFB9, 0x1C71DE25, 0x56CB4C2C, 0x50FD91E5,
+    0xF2340E88, 0x72BD5702, 0xB4FFBD3A, 0x1B35B171, 0xE94A34BD,
+    0xC4C77575, 0x95B10420, 0x2471BC3F, 0xCB429841, 0x6DC5347F,
+    0xC93CF782, 0xF1D26B2C, 0xEB2A260F, 0x67C3AE9, 0x34A56A4,
+    0xF1F3D01B, 0xD8295F22, 0x7F9E5D4A, 0xE4DB3DEA, 0xE1531DCB,
+    0x2C5FF857, 0x73622A7C, 0xC2691F1, 0xBC622B61, 0xE6A08C89,
+    0xBA1807D4, 0x43ADBE43, 0xD90D427C, 0xC7A5C24, 0x613ED316,
+    0xEC810B10, 0x1049BF74, 0x9A14C123, 0xA7B24E7E, 0x73254165,
+    0x2C54081E, 0x14FF25AA, 0x7A12F3B4, 0xB4DF7C56, 0x89BFE8FC,
+    0x5D5A04A6, 0xBE007173, 0x829DF863, 0x63E5E57D, 0x58F64C28,
+    0x31A38144, 0xE843289B, 0xB48DFAF1, 0x2B335C2A, 0xEC3C96CE,
+    0x255543F6, 0x33F17311, 0x3C60C51A, 0xE5D0D660, 0x5E162559,
+    0xA2D9416, 0x9DDE4967, 0x28156A65, 0x71650796, 0x74EE54D1,
+    0x3E8C19F7, 0x797C1E42, 0x2C536DFD, 0x2F3EED4D, 0x3BFC7C95,
+    0x8EAEF87D, 0x18F5B02A, 0xA3532651, 0x24508E13, 0x280B9049,
+    0xE4FC61CB, 0x388BA30F, 0xEC180A43, 0xBFDE77A4, 0x98CDB399,
+    0xF82B586D, 0x38525AE7, 0x9D857BE8, 0xDD939D18, 0xD5CA6EBA,
+    0xB70DDBA, 0xDFF43867, 0xD06AB2D0, 0xD8C78BB, 0x78F6AE4F,
+    0x4C9A58CC, 0x9F9AA50E, 0x7D6A3912, 0xD897C7E4, 0x82F5939D,
+    0xA4A9FFF5, 0x2CB56FDE, 0x3E082D4B, 0xB829DC58, 0xE4515CEB,
+    0xCE585A33, 0x27901244, 0x68860E95, 0xE156A451, 0x9E351FE0,
+    0xC69BD757, 0x4B2C4A2B, 0xD5DE5A91, 0x3557B0DE, 0x99E910B0,
+    0x975BE470, 0xDB4DE130, 0xE4C6DA1D, 0xC2BC058F, 0x37544906,
+    0x12CC200E, 0x54569133, 0x6586FC03, 0xF183C0CF, 0x642583E,
+    0xFBE882CD, 0x8A098C35, 0xE8300988, 0xFE835E55, 0xEA74FD24,
+    0xF3127AB2, 0xEE8379F2, 0x3F136FD2, 0x472AA942, 0x3BC1A7D7,
+    0x5B6A8A98, 0xF039CCF3, 0x5E55425B, 0x3F801B4, 0x44556FB4,
+    0xCC966D37, 0x56E32B90, 0x2BCDA2E5, 0xC70F1125, 0x8C2A015C,
+    0x3D37FCA7, 0x2118A4EF, 0xCE051A9C, 0xCB84DCB9, 0x8451C9E0,
+    0x4BDB1900, 0x8FC71D5D, 0xF61FD749, 0xA696D2E0, 0x6EED502A,
+    0xB345CE8B, 0x76FCDA8E, 0xBE4A45F8, 0x8375E9E7, 0x625FF29B,
+    0xCEC61240, 0x3876B21D, 0xBA8C8F59, 0x8CD169C6, 0x9F82251F,
+    0x2E6EC495, 0x99319E, 0xB0160B46, 0x8B77EDD8, 0x6217902B,
+    0x76FA6AD0, 0xB541F2BC, 0x961EA91C, 0x6F554C1F, 0xBD92328D,
+    0xA9C077FD, 0x90A5311C, 0xEFE9B1FB, 0x9C84AA8C, 0x812517C3,
+    0xFE71D7F4, 0xC4F6A5BF, 0x8B75A262, 0xC726EB36, 0x5F803035,
+    0xCECDE2B7, 0xF61152A8, 0x78557ED1, 0x50F3BB55, 0xDD830290,
+    0xB125B524, 0xC8683B0D, 0xE5FD573B, 0x48B13066, 0x62AE556E,
+    0x5A637C89, 0x498D69F, 0x3F3A5BE5, 0xB98B86D7, 0x20CF4AF4,
+    0xA3E55E7D, 0xEE93FC6F, 0xCCA95763, 0x5B3C5706, 0x8342B013,
+    0xA0C7BDB9, 0x83D686E4, 0x6934B64, 0x324D75C3, 0x9A100C81,
+    0x72E7E9AE, 0xC729A8AC, 0x9E8489E0, 0xFE5BC233, 0x64709AE9,
+    0x113437BC, 0x296DEBC0, 0xC4376603, 0x9F0CD7EE, 0x6412AB97,
+    0x3EECEFCD, 0x62DCD50, 0x15DFF1, 0xEEFDCF8E, 0x119849C1,
+    0xDAAC93FF, 0xD531AF57, 0x82A10F47, 0xD55B7A97, 0x2F3A268B,
+    0x4F1CC181, 0xAE01C1AC, 0xF3CF6F61, 0xE8BDAED5, 0x7397FD99,
+    0xDD36A03C, 0x9BAED7C3, 0x51404903, 0xB9867B61, 0x3880A4FD,
+    0x42B90A49, 0xA94696C1, 0x546DEA1D, 0xEE73A3DE, 0x1A4BAC37,
+    0xBC6AF7AE, 0x7DD5B57B, 0xD2F121F, 0xD2BCCA1E, 0xD5DC4753,
+    0xA135C08C, 0x78E97831, 0x9B91C00B, 0xFFF2C044, 0x147B797F,
+    0x299CFB60, 0x71083BB, 0xB39A6C4F, 0x4814E3E1, 0xBD246AB0,
+    0xBCD61250, 0x2D0870, 0xC660435C, 0xCA11681E, 0xADA4C80E,
+    0x790C8875, 0x8C4F0D08, 0x48D90C74, 0xE874E9AA, 0xA8013EE8,
+    0xB2D23A7A, 0xAF73A16E, 0x2485512C, 0x698E0CB2, 0x2FF566C9,
+    0xC1B0C3C6, 0x2BE17C0E, 0xC42C3907, 0xD8A2EA94, 0x8991D24C,
+    0x19B939F1, 0xF936F8B3, 0xA72D7EF1, 0x97EED001, 0xBF9C5156,
+    0x75F08A67, 0x9AFD5756, 0x5D9D359C, 0xF905B7EC, 0x2B1553E1,
+    0x9E0FD4E1, 0x8DC4814C, 0x89F28E6D, 0x14174915, 0x1F3A4217,
+    0xA8F367F9, 0x93EE87C5, 0xAD70C6D8, 0xF04D465C, 0xE403D72B,
+    0xA686EC0F, 0xCD3A5728, 0xA1BD007, 0x9E21E401, 0xAE8517CF,
+    0x6DDB79FC, 0x8CB2C475, 0x6F71544, 0xBEAC91CF, 0x4739DC4E,
+    0x6CF4F788, 0x36BAD9AC, 0xF23568D4, 0x250BAB0A, 0x4633384F,
+    0x54F6F251, 0x454F9605, 0xCB1A346, 0x632E207F, 0x3017539C,
+    0x174A33ED, 0xBDCFD2DE, 0xC17F3D39, 0x17B8A9A2, 0xC267FB51,
+    0x9322387D, 0x348760C, 0x3C14D7E0, 0xE4E4254E, 0xCA72AA41,
+    0xB6102ED3, 0x6317A3F, 0xD3B6B9F7, 0xA8C71BB7, 0x6E452957,
+    0x3F896E32, 0xE38A4A58, 0x9893F432, 0x110A21D4, 0xE835FEBE,
+    0x90F51080, 0xD0AC5AF, 0x4FCB9903, 0xFE547785, 0x144B285D,
+    0xD0ECC753, 0xAE503BA4, 0x57CEAABC, 0x95713FE6, 0x5B0F4F86,
+    0xD94BD751, 0x4017F139, 0xF60F5E1D, 0xB9A63351, 0xF7F94F6A,
+    0x7E556ECC, 0xBFDB8642, 0xB70D07D, 0x351BEA77, 0xD1F3CAD,
+    0xA3D7EF4D, 0x1EAA28E3, 0x98A2EA79, 0xD8647392, 0x1B896804,
+    0x35CA6A08, 0x305258F, 0xE58BD955, 0xABCB6278, 0x87CF1146,
+    0x13145966, 0x45BB55CD, 0x818AA368, 0xA027F11F, 0x64C427A3,
+    0xEC831B99, 0xF2BD53F9, 0x7FDA7301, 0x35BE80D4, 0x5256E6FB,
+    0xC97D33AE, 0x30921709, 0xC2724BEC, 0x78F5436F, 0x4F5749CD,
+    0x9007F551, 0x327C31C0, 0x89782D13, 0x119AD125, 0xB1071A01,
+    0x63100C70, 0x83120035, 0xA8E2E403, 0x7E213FA3, 0xBF06AAC4,
+    0xBA68C4D9, 0x4B568927, 0x1DDD40F, 0x10FC10E8, 0xBBD7230A,
+    0x96475640, 0x8C8E6EC1, 0x44A1134A, 0xEF0F40F0, 0x51E2A5E0,
+    0x61AE6D65, 0x9DE72FD6, 0xB1711336, 0x90BEB84, 0xD610EFC6,
+    0x3D231F91, 0xB5885164, 0x2CB2112C, 0x36F50789, 0x3DEF2AB9,
+    0x1D9DC1DA, 0xA37DB070, 0x2AA92EB, 0x2D57ED6E, 0xD6E2C2CD,
+    0xB78FC54C, 0x767A565E, 0x1D1F5AAE, 0x89F256DB, 0x716A97D,
+    0x1344431D, 0xFAF015FB, 0xFED59649, 0xC479882A, 0xEEFC3D1E,
+    0x840AE162, 0xD963A347, 0x75462C25, 0xDA990E07, 0x9A57DE31,
+    0x74A35F20, 0x91852CD6, 0x3F16DE14, 0x5FA6A255, 0x47D00F85,
+    0x1B4836C9, 0xC73D0290, 0xE301026B, 0x592068D6, 0x7C32A301,
+    0x3A3C04C4, 0xB5BD3BAF, 0xB8C3BF60, 0x76723A1B, 0xD05BC35E,
+    0x7679021C, 0x6298096, 0x590BA59C, 0xBB30A2F6, 0xE5F6B06C,
+    0x21BD2A9E, 0xAC68D7DA, 0xEDA2ED5A, 0xA10E60FA, 0xABDBF569,
+    0x17F5868E, 0x82AA8505, 0x384BD8FC, 0x68DC2746, 0x8F029C0D,
+    0x3755EB11, 0xAEF4BB79, 0x453B87BA, 0x9926977F, 0x1FA1B806,
+    0xC905618, 0x9BFE8E92, 0xF6F68A5A, 0xAA955D92, 0x44F57A4A,
+    0x2186E272, 0x62EB01DA, 0x85A2D502, 0xB087955D, 0x26FF2BA0,
+    0x8D462C04, 0xE024573B, 0x609CDBD7, 0xA99B9D19, 0xFEEB3F60,
+    0x12903A0D, 0x46480C6, 0xDD0BD1B9, 0x6C60C43, 0x5E11A4FE,
+    0x935E9E58, 0x8A7F6D33, 0xA505132D, 0xBB2E3E12, 0xF48633F4,
+    0xF3BA8CF7, 0xC25D4EDD, 0x788672B8, 0xB2812608, 0xACB3A62,
+    0x2EEB679A, 0x443A71B9, 0xC42F4B12, 0xD28B3482, 0x5571FA8A,
+    0x5C0B3D55, 0x8B8619C6, 0xF564F10C, 0xD9A7C914, 0xFBD1EF46,
+    0xCEABC573, 0xEC609D28, 0x5839413B, 0x5019E901, 0x248FFF30,
+    0x7BFFB801, 0x7FD46584, 0x43702812, 0x3A5A0880, 0x7E3E9EDA,
+    0xCA4623E3, 0x2FB87A70, 0xFE70D956, 0xCE9EB3E6, 0x9A2CD2F1,
+    0x92EFB0C8, 0xC7E23873, 0x53B63A86, 0xB9D93548, 0x3C022B2,
+    0xCF4F22A6, 0x981E70BC, 0x4A05F3AB, 0xD763E93B, 0x6EAF767D,
+    0x4162629D, 0xD82A25E7, 0x6CDD19A3, 0x13524F68, 0xE5F23FDC,
+    0xB37F311F, 0x35FD43B6, 0x36626469, 0x1E409CF6, 0xE4C04F9D,
+    0xC1B58001, 0xD131078F, 0x9DE279A, 0x80B62212, 0x526405DD,
+    0xC17777C1, 0x7045FCDC, 0x53862AEC, 0x5D583056, 0xEB532222,
+    0x5837EA32, 0x719C06A4, 0x43D4F131, 0x577C6DDB, 0x9E5815A7,
+    0x8189DDD9, 0x170F154F, 0xEF813B20, 0x4DD83A53, 0xB09A28FD,
+    0x8D0DBED5, 0x1836596D, 0xC5BB2696, 0xA69FC859, 0xD6FF5E0D,
+    0xCCC65761, 0xC818C6F7, 0x7A25F980, 0xF949133, 0xC515C093,
+    0xA8AD04B5, 0x6768AC1C, 0xB5BE2C4A, 0x4F04616F, 0xBD28E4E3,
+    0x4CCA6347, 0x5F61C031
+};
+
+/* The source data is random across the q31_t range. Accessing it by word should
+   remain random. */
+q15_t * transform_fft_q15_inputs = (q15_t *) transform_fft_q31_inputs;
+
+q15_t dct4_transform_fft_q15_inputs[TRANSFORM_MAX_FFT_LEN * 2] =
+{
+   0x0000, 0x2d5c, 0x54d5, 0x714b, 0x7f0d, 0x7c51, 0x6972, 0x48e4, 
+   0x1edf, 0xf0da, 0xc4cb, 0xa06c, 0x8874, 0x8001, 0x882a, 0x9fe2, 
+   0xc413, 0xf00c, 0x1e16, 0x4839, 0x68fc, 0x7c1f, 0x7f25, 0x71ab, 
+   0x5570, 0x2e1e, 0x00cf, 0xd367, 0xabc7, 0x8f16, 0x810d, 0x837e, 
+   0x9619, 0xb672, 0xe057, 0x0e58, 0x3a7c, 0x5f0a, 0x7741, 0x7ffe, 
+   0x781e, 0x60a7, 0x3ca4, 0x10c2, 0xe2b4, 0xb873, 0x977b, 0x8415, 
+   0x80c3, 0x8df6, 0xa9f6, 0xd121, 0xfe61, 0x2bd6, 0x539c, 0x7087, 
+   0x7ed8, 0x7cb1, 0x6a5c, 0x4a38, 0x2072, 0xf277, 0xc63d, 0xa182, 
+   0x890b, 0x8005, 0x879b, 0x9ed2, 0xc2a6, 0xee70, 0x1c81, 0x46e0, 
+   0x680c, 0x7bb7, 0x7f53, 0x7268, 0x56a3, 0x2fa0, 0x026f, 0xd4ed, 
+   0xad02, 0x8fdc, 0x8145, 0x8321, 0x9531, 0xb51f, 0xdec5, 0x0cba, 
+   0x390a, 0x5df1, 0x76a8, 0x7ff7, 0x78ab, 0x61b5, 0x3e10, 0x125e, 
+   0xe449, 0xb9cd, 0x986d, 0x847f, 0x8099, 0x8d3c, 0xa8c4, 0xcf9f, 
+   0xfcc2, 0x2a4f, 0x5260, 0x6fbf, 0x7e9d, 0x7d0c, 0x6b40, 0x4b89, 
+   0x2203, 0xf414, 0xc7b1, 0xa29c, 0x89a7, 0x800e, 0x8710, 0x9dc5, 
+   0xc13a, 0xecd5, 0x1aec, 0x4585, 0x6718, 0x7b4a, 0x7f7b, 0x7320, 
+   0x57d3, 0x3121, 0x040e, 0xd675, 0xae40, 0x90a7, 0x8182, 0x82c8, 
+   0x944f, 0xb3d0, 0xdd35, 0x0b1d, 0x3795, 0x5cd5, 0x760a, 0x7fec, 
+   0x7933, 0x62bf, 0x3f7a, 0x13f8, 0xe5df, 0xbb2a, 0x9964, 0x84ef, 
+   0x8073, 0x8c86, 0xa796, 0xce20, 0xfb23, 0x28c6, 0x5120, 0x6ef2, 
+   0x7e5e, 0x7d63, 0x6c21, 0x4cd7, 0x2393, 0xf5b2, 0xc927, 0xa3ba, 
+   0x8a47, 0x801c, 0x868b, 0x9cbd, 0xbfd1, 0xeb3b, 0x1955, 0x4427, 
+   0x6620, 0x7ad7, 0x7f9d, 0x73d3, 0x5900, 0x329f, 0x05ad, 0xd7ff, 
+   0xaf81, 0x9176, 0x81c4, 0x8274, 0x9370, 0xb284, 0xdba6, 0x097f, 
+   0x361d, 0x5bb5, 0x7566, 0x7fda, 0x79b6, 0x63c6, 0x40e2, 0x1592, 
+   0xe777, 0xbc8a, 0x9a5e, 0x8564, 0x8053, 0x8bd5, 0xa66b, 0xcca2, 
+   0xf983, 0x273c, 0x4fdd, 0x6e21, 0x7e19, 0x7db3, 0x6cfd, 0x4e21, 
+   0x2521, 0xf750, 0xca9f, 0xa4dc, 0x8aed, 0x8030, 0x860a, 0x9bb9, 
+   0xbe6b, 0xe9a1, 0x17bd, 0x42c6, 0x6523, 0x7a60, 0x7fbb, 0x7481, 
+   0x5a29, 0x341c, 0x074c, 0xd98a, 0xb0c6, 0x924a, 0x820b, 0x8226, 
+   0x9297, 0xb13b, 0xda18, 0x07e0, 0x34a4, 0x5a92, 0x74bf, 0x7fc4, 
+   0x7a34, 0x64c8, 0x4247, 0x172b, 0xe90f, 0xbdec, 0x9b5d, 0x85dd, 
+   0x8038, 0x8b29, 0xa544, 0xcb27, 0xf7e5, 0x25af, 0x4e97, 0x6d4b, 
+   0x7dcf, 0x7dff, 0x6dd5, 0x4f69, 0x26ae, 0xf8ef, 0xcc1a, 0xa601, 
+   0x8b97, 0x8049, 0x858f, 0x9ab9, 0xbd08, 0xe809, 0x1625, 0x4162, 
+   0x6422, 0x79e4, 0x7fd3, 0x752b, 0x5b4e, 0x3596, 0x08eb, 0xdb17, 
+   0xb20e, 0x9322, 0x8258, 0x81dd, 0x91c1, 0xaff5, 0xd88c, 0x0641, 
+   0x3328, 0x596a, 0x7412, 0x7fa8, 0x7aad, 0x65c6, 0x43a9, 0x18c3, 
+   0xeaa8, 0xbf51, 0x9c5f, 0x865c, 0x8023, 0x8a82, 0xa421, 0xc9ad, 
+   0xf646, 0x2422, 0x4d4d, 0x6c70, 0x7d80, 0x7e46, 0x6ea8, 0x50ad, 
+   0x2839, 0xfa8e, 0xcd97, 0xa72b, 0x8c46, 0x8067, 0x8518, 0x99bd, 
+   0xbba7, 0xe671, 0x148b, 0x3ffb, 0x631e, 0x7963, 0x7fe6, 0x75d0, 
+   0x5c6f, 0x370f, 0x0a89, 0xdca6, 0xb359, 0x93ff, 0x82a9, 0x8199, 
+   0x90f0, 0xaeb2, 0xd702, 0x04a2, 0x31aa, 0x583f, 0x7360, 0x7f88, 
+   0x7b21, 0x66c0, 0x4508, 0x1a5a, 0xec42, 0xc0b9, 0x9d66, 0x86e0, 
+   0x8012, 0x89e0, 0xa302, 0xc836, 0xf4a8, 0x2292, 0x4c01, 0x6b91, 
+   0x7d2c, 0x7e87, 0x6f76, 0x51ee, 0x29c3, 0xfc2d, 0xcf16, 0xa858, 
+   0x8cfa, 0x808b, 0x84a7, 0x98c5, 0xba4a, 0xe4da, 0x12f1, 0x3e92, 
+   0x6215, 0x78dc, 0x7ff4, 0x7670, 0x5d8c, 0x3884, 0x0c27, 0xde36, 
+   0xb4a7, 0x94e0, 0x8300, 0x815a, 0x9024, 0xad73, 0xd579, 0x0303, 
+   0x302a, 0x5711, 0x72aa, 0x7f61, 0x7b90, 0x67b5, 0x4664, 0x1bf0, 
+   0xeddd, 0xc223, 0x9e71, 0x8769, 0x8007, 0x8942, 0xa1e6, 0xc6c2, 
+   0xf30b, 0x2102, 0x4ab1, 0x6aae, 0x7cd2, 0x7ec3, 0x7040, 0x532b, 
+   0x2b4b, 0xfdcc, 0xd097, 0xa988, 0x8db3, 0x80b4, 0x843a, 0x97d1, 
+   0xb8ef, 0xe345, 0x1155, 0x3d27, 0x6108, 0x7851, 0x7ffc, 0x770b, 
+   0x5ea6, 0x39f8, 0x0dc4, 0xdfc7, 0xb5f8, 0x95c5, 0x835c, 0x8120, 
+   0x8f5d, 0xac37, 0xd3f2, 0x0164, 0x2ea8, 0x55de, 0x71ef, 0x7f36, 
+   0x7bfa, 0x68a7, 0x47be, 0x1d85, 0xef79, 0xc390, 0x9f80, 0x87f6, 
+   0x8001, 0x88a9, 0xa0cf, 0xc54f, 0xf16e, 0x1f70, 0x495e, 0x69c6, 
+   0x7c74, 0x7efa, 0x7106, 0x5465, 0x2cd1, 0xff6c, 0xd219, 0xaabc, 
+   0x8e70, 0x80e2, 0x83d3, 0x96e2, 0xb796, 0xe1b1, 0x0fb9, 0x3bb8, 
+   0x5ff7, 0x77c1, 0x7fff, 0x77a1, 0x5fbc, 0x3b69, 0x0f61, 0xe15a, 
+   0xb74d, 0x96af, 0x83bd, 0x80ec, 0x8e9a, 0xaaff, 0xd26d, 0xffc5, 
+   0x2d24, 0x54a8, 0x712f, 0x7f05, 0x7c5f, 0x6994, 0x4914, 0x1f19, 
+   0xf115, 0xc500, 0xa093, 0x8889, 0x8001, 0x8816, 0x9fbb, 0xc3df, 
+   0xefd1, 0x1ddc, 0x4808, 0x68da, 0x7c10, 0x7f2c, 0x71c6, 0x559c, 
+   0x2e55, 0x010a, 0xd39e, 0xabf4, 0x8f32, 0x8115, 0x8371, 0x95f7, 
+   0xb641, 0xe01e, 0x0e1d, 0x3a48, 0x5ee2, 0x772c, 0x7ffd, 0x7832, 
+   0x60cd, 0x3cd8, 0x10fd, 0xe2ee, 0xb8a4, 0x979e, 0x8423, 0x80bd, 
+   0x8ddb, 0xa9ca, 0xd0ea, 0xfe26, 0x2b9f, 0x536f, 0x706b, 0x7ed0, 
+   0x7cbf, 0x6a7c, 0x4a68, 0x20ab, 0xf2b2, 0xc672, 0xa1aa, 0x8921, 
+   0x8006, 0x8787, 0x9eab, 0xc272, 0xee36, 0x1c48, 0x46af, 0x67ea, 
+   0x7ba8, 0x7f59, 0x7282, 0x56cf, 0x2fd7, 0x02aa, 0xd525, 0xad2f, 
+   0x8ff9, 0x814d, 0x8314, 0x9511, 0xb4ef, 0xde8c, 0x0c80, 0x38d5, 
+   0x5dc9, 0x7692, 0x7ff6, 0x78bf, 0x61db, 0x3e44, 0x1298, 0xe483, 
+   0xb9ff, 0x9890, 0x848f, 0x8093, 0x8d22, 0xa899, 0xcf68, 0xfc87, 
+   0x2a17, 0x5232, 0x6fa2, 0x7e95, 0x7d19, 0x6b61, 0x4bb8, 0x223c, 
+   0xf44f, 0xc7e6, 0xa2c5, 0x89bd, 0x8010, 0x86fd, 0x9d9f, 0xc107, 
+   0xec9b, 0x1ab2, 0x4553, 0x66f5, 0x7b3a, 0x7f80, 0x7339, 0x57fe, 
+   0x3157, 0x0449, 0xd6ad, 0xae6d, 0x90c4, 0x818b, 0x82bc, 0x942f, 
+   0xb3a0, 0xdcfc, 0x0ae2, 0x375f, 0x5cad, 0x75f3, 0x7fe9, 0x7946, 
+   0x62e5, 0x3fae, 0x1433, 0xe619, 0xbb5c, 0x9987, 0x84ff, 0x806f, 
+   0x8c6d, 0xa76b, 0xcde9, 0xfae7, 0x288e, 0x50f2, 0x6ed5, 0x7e54, 
+   0x7d6e, 0x6c41, 0x4d06, 0x23cc, 0xf5ed, 0xc95c, 0xa3e3, 0x8a5f, 
+   0x801f, 0x8678, 0x9c98, 0xbf9e, 0xeb00, 0x191b, 0x43f5, 0x65fc, 
+   0x7ac7, 0x7fa2, 0x73ec, 0x592a, 0x32d6, 0x05e8, 0xd837, 0xafaf, 
+   0x9194, 0x81ce, 0x8269, 0x9351, 0xb255, 0xdb6d, 0x0944, 0x35e8, 
+   0x5b8c, 0x754f, 0x7fd8, 0x79c8, 0x63eb, 0x4115, 0x15cc, 0xe7b1, 
+   0xbcbc, 0x9a82, 0x8575, 0x804f, 0x8bbd, 0xa641, 0xcc6c, 0xf948, 
+   0x2703, 0x4faf, 0x6e03, 0x7e0f, 0x7dbf, 0x6d1c, 0x4e50, 0x255a, 
+   0xf78b, 0xcad5, 0xa505, 0x8b05, 0x8033, 0x85f8, 0x9b94, 0xbe39, 
+   0xe967, 0x1783, 0x4293, 0x64ff, 0x7a4f, 0x7fbf, 0x749a, 0x5a52, 
+   0x3452, 0x0787, 0xd9c3, 0xb0f4, 0x9268, 0x8216, 0x821b, 0x9278, 
+   0xb10c, 0xd9e0, 0x07a5, 0x346e, 0x5a68, 0x74a6, 0x7fc0, 0x7a46, 
+   0x64ec, 0x4279, 0x1765, 0xe949, 0xbe1f, 0x9b81, 0x85ef, 0x8035, 
+   0x8b11, 0xa51b, 0xcaf1, 0xf7aa, 0x2577, 0x4e68, 0x6d2c, 0x7dc4, 
+   0x7e0a, 0x6df3, 0x4f97, 0x26e6, 0xf92a, 0xcc50, 0xa62c, 0x8bb0, 
+   0x804d, 0x857d, 0x9a95, 0xbcd6, 0xe7cf, 0x15ea, 0x412f, 0x63fe, 
+   0x79d2, 0x7fd6, 0x7543, 0x5b77, 0x35cc, 0x0925, 0xdb50, 0xb23d, 
+   0x9341, 0x8263, 0x81d3, 0x91a3, 0xafc7, 0xd854, 0x0606, 0x32f2, 
+   0x5940, 0x73f9, 0x7fa4, 0x7abe, 0x65ea, 0x43db, 0x18fd, 0xeae2, 
+   0xbf84, 0x9c85, 0x866f, 0x8020, 0x8a6b, 0xa3f8, 0xc978, 0xf60b, 
+   0x23e9, 0x4d1e, 0x6c51, 0x7d74, 0x7e4f, 0x6ec5, 0x50db, 0x2871, 
+   0xfac9, 0xcdcd, 0xa755, 0x8c60, 0x806c, 0x8508, 0x9999, 0xbb75, 
+   0xe637, 0x1451, 0x3fc8, 0x62f8, 0x7950, 0x7fe8, 0x75e7, 0x5c98, 
+   0x3744, 0x0ac4, 0xdcdf, 0xb388, 0x941e, 0x82b5, 0x8190, 0x90d3, 
+   0xae85, 0xd6ca, 0x0467, 0x3173, 0x5814, 0x7347, 0x7f82, 0x7b31, 
+   0x66e3, 0x453a, 0x1a94, 0xec7d, 0xc0ec, 0x9d8c, 0x86f3, 0x8011, 
+   0x89c9, 0xa2d9, 0xc801, 0xf46d, 0x2259, 0x4bd1, 0x6b71, 0x7d1f, 
+   0x7e90, 0x6f93, 0x521b, 0x29fb, 0xfc68, 0xcf4c, 0xa883, 0x8d14, 
+   0x8090, 0x8497, 0x98a2, 0xba18, 0xe4a1, 0x12b6, 0x3e5f, 0x61ef, 
+   0x78c9, 0x7ff5, 0x7686, 0x5db5, 0x38b9, 0x0c61, 0xde6f, 0xb4d7, 
+   0x9500, 0x830d, 0x8152, 0x9007, 0xad46, 0xd541, 0x02c8, 0x2ff3, 
+   0x56e5, 0x7290, 0x7f5c, 0x7ba0, 0x67d8, 0x4696, 0x1c2a, 0xee17, 
+   0xc257, 0x9e97, 0x877d, 0x8006, 0x892c, 0xa1be, 0xc68d, 0xf2d0, 
+   0x20c8, 0x4a81, 0x6a8d, 0x7cc5, 0x7ecc, 0x705d, 0x5358, 0x2b82, 
+   0xfe08, 0xd0ce, 0xa9b4, 0x8dce, 0x80ba, 0x842b, 0x97af, 0xb8bd, 
+   0xe30b, 0x111b, 0x3cf3, 0x60e1, 0x783d, 0x7ffd, 0x7721, 0x5ece, 
+   0x3a2d, 0x0dff, 0xe000, 0xb629, 0x95e6, 0x836a, 0x8119, 0x8f41, 
+   0xac0b, 0xd3bb, 0x0129, 0x2e71, 0x55b2, 0x71d4, 0x7f2f, 0x7c09, 
+   0x68c9, 0x47ef, 0x1dbf, 0xefb3, 0xc3c4, 0x9fa7, 0x880b, 0x8001, 
+   0x8894, 0xa0a7, 0xc51b, 0xf133, 0x1f36, 0x492d, 0x69a5, 0x7c66, 
+   0x7f02, 0x7121, 0x5492, 0x2d08, 0xffa7, 0xd251, 0xaae8, 0x8e8b, 
+   0x80e9, 0x83c5, 0x96c1, 0xb766, 0xe177, 0x0f7f, 0x3b84, 0x5fd0, 
+   0x77ac, 0x7fff, 0x77b6, 0x5fe3, 0x3b9d, 0x0f9b, 0xe193, 0xb77d, 
+   0x96d1, 0x83cc, 0x80e5, 0x8e7e, 0xaad3, 0xd236, 0xff8a, 0x2ced, 
+   0x547c, 0x7114, 0x7efe, 0x7c6d, 0x69b5, 0x4945, 0x1f52, 0xf150, 
+   0xc534, 0xa0ba, 0x889e, 0x8001, 0x8801, 0x9f94, 0xc3ab, 0xef97, 
+   0x1da3, 0x47d7, 0x68b8, 0x7c02, 0x7f33, 0x71e1, 0x55c8, 0x2e8c, 
+   0x0145, 0xd3d6, 0xac20, 0x8f4e, 0x811c, 0x8363, 0x95d6, 0xb611, 
+   0xdfe5, 0x0de2, 0x3a13, 0x5eba, 0x7716, 0x7ffd, 0x7847, 0x60f4, 
+   0x3d0c, 0x1137, 0xe327, 0xb8d5, 0x97c0, 0x8432, 0x80b7, 0x8dc1, 
+   0xa99f, 0xd0b3, 0xfdeb, 0x2b67, 0x5342, 0x704f, 0x7ec8, 0x7ccc, 
+   0x6a9d, 0x4a98, 0x20e4, 0xf2ed, 0xc6a6, 0xa1d2, 0x8937, 0x8007, 
+   0x8773, 0x9e85, 0xc23e, 0xedfb, 0x1c0e, 0x467e, 0x67c7, 0x7b98, 
+   0x7f5e, 0x729d, 0x56fa, 0x300e, 0x02e5, 0xd55c, 0xad5c, 0x9015, 
+   0x8156, 0x8307, 0x94f0, 0xb4c0, 0xde53, 0x0c45, 0x38a0, 0x5da1, 
+   0x767b, 0x7ff5, 0x78d2, 0x6201, 0x3e78, 0x12d3, 0xe4bd, 0xba30, 
+   0x98b3, 0x849e, 0x808e, 0x8d08, 0xa86e, 0xcf32, 0xfc4c, 0x29df, 
+   0x5205, 0x6f85, 0x7e8c, 0x7d25, 0x6b81, 0x4be8, 0x2275, 0xf48a, 
+   0xc81b, 0xa2ed, 0x89d4, 0x8011, 0x86ea, 0x9d7a, 0xc0d3, 0xec60, 
+   0x1a78, 0x4522, 0x66d2, 0x7b2a, 0x7f85, 0x7353, 0x5829, 0x318e, 
+   0x0484, 0xd6e5, 0xae9b, 0x90e1, 0x8194, 0x82b0, 0x940f, 0xb371, 
+   0xdcc3, 0x0aa7, 0x372a, 0x5c84, 0x75dc, 0x7fe7, 0x7959, 0x630a, 
+   0x3fe1, 0x146d, 0xe653, 0xbb8e, 0x99aa, 0x8510, 0x806a, 0x8c53, 
+   0xa741, 0xcdb3, 0xfaac, 0x2856, 0x50c4, 0x6eb7, 0x7e4b, 0x7d7a, 
+   0x6c60, 0x4d35, 0x2404, 0xf628, 0xc992, 0xa40c, 0x8a76, 0x8021, 
+   0x8666, 0x9c72, 0xbf6b, 0xeac6, 0x18e1, 0x43c2, 0x65d8, 0x7ab6, 
+   0x7fa6, 0x7405, 0x5955, 0x330c, 0x0623, 0xd86f, 0xafdd, 0x91b2, 
+   0x81d8, 0x825e, 0x9332, 0xb226, 0xdb34, 0x0909, 0x35b2, 0x5b63, 
+   0x7537, 0x7fd5, 0x79db, 0x6410, 0x4148, 0x1607, 0xe7eb, 0xbcee, 
+   0x9aa6, 0x8586, 0x804b, 0x8ba4, 0xa617, 0xcc36, 0xf90d, 0x26cb, 
+   0x4f80, 0x6de4, 0x7e05, 0x7dca, 0x6d3b, 0x4e7f, 0x2592, 0xf7c6, 
+   0xcb0b, 0xa52f, 0x8b1d, 0x8037, 0x85e6, 0x9b6f, 0xbe06, 0xe92d, 
+   0x1749, 0x4261, 0x64db, 0x7a3d, 0x7fc2, 0x74b2, 0x5a7c, 0x3488, 
+   0x07c2, 0xd9fb, 0xb123, 0x9287, 0x8220, 0x8211, 0x9259, 0xb0de, 
+   0xd9a7, 0x076a, 0x3438, 0x5a3e, 0x748e, 0x7fbd, 0x7a57, 0x6511, 
+   0x42ac, 0x179f, 0xe983, 0xbe51, 0x9ba6, 0x8601, 0x8032, 0x8af9, 
+   0xa4f1, 0xcabb, 0xf76f, 0x253e, 0x4e39, 0x6d0d, 0x7db9, 0x7e14, 
+   0x6e11, 0x4fc5, 0x271f, 0xf965, 0xcc86, 0xa656, 0x8bc9, 0x8051, 
+   0x856c, 0x9a70, 0xbca3, 0xe795, 0x15b0, 0x40fc, 0x63d9, 0x79c0, 
+   0x7fd9, 0x755a, 0x5ba0, 0x3602, 0x0960, 0xdb89, 0xb26c, 0x9360, 
+   0x826e, 0x81c9, 0x9185, 0xaf99, 0xd81c, 0x05cb, 0x32bb, 0x5916, 
+   0x73e0, 0x7fa0, 0x7acf, 0x660d, 0x440d, 0x1937, 0xeb1d, 0xbfb7, 
+   0x9caa, 0x8681, 0x801e, 0x8a53, 0xa3cf, 0xc942, 0xf5d0, 0x23b0, 
+   0x4cef, 0x6c31, 0x7d69, 0x7e59, 0x6ee3, 0x5108, 0x28a9, 0xfb04, 
+   0xce04, 0xa780, 0x8c79, 0x8071, 0x84f7, 0x9976, 0xbb43, 0xe5fd, 
+   0x1416, 0x3f95, 0x62d3, 0x793d, 0x7feb, 0x75fe, 0x5cc0, 0x3779, 
+   0x0aff, 0xdd18, 0xb3b8, 0x943e, 0x82c2, 0x8186, 0x90b6, 0xae57, 
+   0xd692, 0x042c, 0x313d, 0x57ea, 0x732d, 0x7f7d, 0x7b41, 0x6706, 
+   0x456b, 0x1ace, 0xecb7, 0xc120, 0x9db2, 0x8706, 0x800f, 0x89b2, 
+   0xa2b1, 0xc7cc, 0xf433, 0x2220, 0x4ba1, 0x6b51, 0x7d13, 0x7e99, 
+   0x6fb0, 0x5248, 0x2a32, 0xfca3, 0xcf83, 0xa8ae, 0x8d2e, 0x8096, 
+   0x8487, 0x987f, 0xb9e6, 0xe467, 0x127c, 0x3e2b, 0x61c9, 0x78b5, 
+   0x7ff7, 0x769c, 0x5ddd, 0x38ee, 0x0c9c, 0xdea8, 0xb507, 0x9521, 
+   0x831a, 0x8149, 0x8feb, 0xad19, 0xd50a, 0x028d, 0x2fbc, 0x56ba, 
+   0x7275, 0x7f56, 0x7baf, 0x67fa, 0x46c7, 0x1c64, 0xee52, 0xc28b, 
+   0x9ebe, 0x8791, 0x8005, 0x8916, 0xa196, 0xc658, 0xf295, 0x208f, 
+   0x4a51, 0x6a6c, 0x7cb8, 0x7ed4, 0x7079, 0x5385, 0x2bba, 0xfe43, 
+   0xd104, 0xa9df, 0x8de8, 0x80c0, 0x841c, 0x978d, 0xb88c, 0xe2d2, 
+   0x10e0, 0x3cbf, 0x60bb, 0x7828, 0x7ffe, 0x7736, 0x5ef5, 0x3a61, 
+   0x0e39, 0xe03a, 0xb659, 0x9608, 0x8377, 0x8111, 0x8f25, 0xabde, 
+   0xd383, 0x00ee, 0x2e3a, 0x5586, 0x71b9, 0x7f29, 0x7c17, 0x68eb, 
+   0x4820, 0x1df8, 0xefee, 0xc3f9, 0x9fce, 0x8820, 0x8001, 0x887f, 
+   0xa080, 0xc4e6, 0xf0f8, 0x1efd, 0x48fd, 0x6983, 0x7c58, 0x7f09, 
+   0x713d, 0x54be, 0x2d3f, 0xffe2, 0xd288, 0xab15, 0x8ea7, 0x80f0, 
+   0x83b6, 0x969f, 0xb735, 0xe13e, 0x0f44, 0x3b50, 0x5fa9, 0x7797, 
+   0x7fff, 0x77cb, 0x600a, 0x3bd2, 0x0fd6, 0xe1cd, 0xb7ae, 0x96f3, 
+   0x83da, 0x80de, 0x8e63, 0xaaa7, 0xd1ff, 0xff4f, 0x2cb6, 0x5450, 
+   0x70f8, 0x7ef7, 0x7c7b, 0x69d6, 0x4975, 0x1f8b, 0xf18a, 0xc569, 
+   0xa0e2, 0x88b4, 0x8002, 0x87ed, 0x9f6d, 0xc377, 0xef5c, 0x1d69, 
+   0x47a6, 0x6896, 0x7bf3, 0x7f39, 0x71fc, 0x55f4, 0x2ec3, 0x0181, 
+   0xd40d, 0xac4d, 0x8f6a, 0x8124, 0x8356, 0x95b5, 0xb5e1, 0xdfab, 
+   0x0da7, 0x39de, 0x5e93, 0x7700, 0x7ffc, 0x785b, 0x611b, 0x3d40, 
+   0x1172, 0xe361, 0xb906, 0x97e2, 0x8441, 0x80b1, 0x8da6, 0xa973, 
+   0xd07c, 0xfdb0, 0x2b30, 0x5315, 0x7032, 0x7ebf, 0x7cd9, 0x6abe, 
+   0x4ac8, 0x211d, 0xf327, 0xc6db, 0xa1fa, 0x894d, 0x8008, 0x875f, 
+   0x9e5f, 0xc20a, 0xedc1, 0x1bd4, 0x464c, 0x67a4, 0x7b89, 0x7f64, 
+   0x72b7, 0x5726, 0x3045, 0x0320, 0xd594, 0xad89, 0x9032, 0x815e, 
+   0x82fa, 0x94d0, 0xb490, 0xde1a, 0x0c0a, 0x386b, 0x5d79, 0x7665, 
+   0x7ff3, 0x78e6, 0x6227, 0x3eab, 0x130d, 0xe4f7, 0xba62, 0x98d6, 
+   0x84ae, 0x8088, 0x8cee, 0xa843, 0xcefb, 0xfc10, 0x29a8, 0x51d8, 
+   0x6f68, 0x7e83, 0x7d32, 0x6ba1, 0x4c18, 0x22ae, 0xf4c5, 0xc850, 
+   0xa316, 0x89eb, 0x8013, 0x86d7, 0x9d54, 0xc0a0, 0xec26, 0x1a3e, 
+   0x44f0, 0x66af, 0x7b19, 0x7f8a, 0x736d, 0x5854, 0x31c4, 0x04bf, 
+   0xd71d, 0xaec9, 0x90ff, 0x819d, 0x82a4, 0x93ef, 0xb342, 0xdc8a, 
+   0x0a6c, 0x36f5, 0x5c5b, 0x75c5, 0x7fe5, 0x796c, 0x6330, 0x4014, 
+   0x14a7, 0xe68d, 0xbbc0, 0x99ce, 0x8520, 0x8065, 0x8c3a, 0xa716, 
+   0xcd7c, 0xfa71, 0x281e, 0x5097, 0x6e99, 0x7e41, 0x7d86, 0x6c80, 
+   0x4d64, 0x243d, 0xf663, 0xc9c7, 0xa435, 0x8a8d, 0x8024, 0x8653, 
+   0x9c4d, 0xbf38, 0xea8c, 0x18a7, 0x4390, 0x65b4, 0x7aa5, 0x7fab, 
+   0x741e, 0x597f, 0x3342, 0x065e, 0xd8a8, 0xb00b, 0x91d0, 0x81e2, 
+   0x8252, 0x9313, 0xb1f7, 0xdafc, 0x08ce, 0x357c, 0x5b39, 0x751f, 
+   0x7fd2, 0x79ed, 0x6434, 0x417b, 0x1641, 0xe825, 0xbd20, 0x9aca, 
+   0x8597, 0x8047, 0x8b8b, 0xa5ed, 0xcc00, 0xf8d2, 0x2693, 0x4f52, 
+   0x6dc6, 0x7dfa, 0x7dd4, 0x6d5a, 0x4ead, 0x25cb, 0xf801, 0xcb41, 
+   0xa559, 0x8b35, 0x803a, 0x85d5, 0x9b4b, 0xbdd3, 0xe8f3, 0x170f, 
+   0x422e, 0x64b6, 0x7a2c, 0x7fc6, 0x74ca, 0x5aa6, 0x34be, 0x07fd, 
+   0xda34, 0xb151, 0x92a5, 0x822b, 0x8206, 0x923b, 0xb0af, 0xd96f, 
+   0x072f, 0x3402, 0x5a14, 0x7475, 0x7fb9, 0x7a69, 0x6535, 0x42de, 
+   0x17da, 0xe9bd, 0xbe84, 0x9bcb, 0x8613, 0x802f, 0x8ae1, 0xa4c8, 
+   0xca85, 0xf734, 0x2506, 0x4e0a, 0x6cee, 0x7dae, 0x7e1e, 0x6e2f, 
+   0x4ff3, 0x2757, 0xf9a0, 0xccbc, 0xa680, 0x8be1, 0x8055, 0x855b, 
+   0x9a4d, 0xbc71, 0xe75a, 0x1576, 0x40c9, 0x63b4, 0x79ad, 0x7fdc, 
+   0x7572, 0x5bca, 0x3637, 0x099b, 0xdbc1, 0xb29b, 0x9380, 0x827a, 
+   0x81bf, 0x9168, 0xaf6b, 0xd7e4, 0x0590, 0x3285, 0x58eb, 0x73c7, 
+   0x7f9b, 0x7adf, 0x6631, 0x443f, 0x1971, 0xeb57, 0xbfea, 0x9ccf, 
+   0x8694, 0x801b, 0x8a3c, 0xa3a6, 0xc90d, 0xf596, 0x2377, 0x4cc0, 
+   0x6c12, 0x7d5d, 0x7e62, 0x6f00, 0x5136, 0x28e1, 0xfb3f, 0xce3a, 
+   0xa7ab, 0x8c93, 0x8076, 0x84e7, 0x9952, 0xbb12, 0xe5c3, 0x13dc, 
+   0x3f62, 0x62ad, 0x792a, 0x7fed, 0x7615, 0x5ce9, 0x37ae, 0x0b39, 
+   0xdd50, 0xb3e7, 0x945e, 0x82ce, 0x817d, 0x9099, 0xae2a, 0xd65a, 
+   0x03f1, 0x3106, 0x57bf, 0x7313, 0x7f78, 0x7b51, 0x6729, 0x459d, 
+   0x1b08, 0xecf1, 0xc153, 0x9dd8, 0x871a, 0x800d, 0x899c, 0xa288, 
+   0xc797, 0xf3f8, 0x21e7, 0x4b72, 0x6b31, 0x7d06, 0x7ea2, 0x6fcd, 
+   0x5276, 0x2a6a, 0xfcde, 0xcfba, 0xa8d9, 0x8d48, 0x809c, 0x8478, 
+   0x985c, 0xb9b5, 0xe42d, 0x1241, 0x3df7, 0x61a2, 0x78a1, 0x7ff8, 
+   0x76b3, 0x5e05, 0x3923, 0x0cd7, 0xdee1, 0xb537, 0x9541, 0x8327, 
+   0x8141, 0x8fce, 0xacec, 0xd4d2, 0x0252, 0x2f86, 0x568e, 0x725b, 
+   0x7f50, 0x7bbe, 0x681d, 0x46f8, 0x1c9d, 0xee8d, 0xc2bf, 0x9ee4, 
+   0x87a5, 0x8004, 0x8900, 0xa16f, 0xc623, 0xf25a, 0x2056, 0x4a20, 
+   0x6a4c, 0x7cab, 0x7edb, 0x7095, 0x53b2, 0x2bf1, 0xfe7e, 0xd13c, 
+   0xaa0b, 0x8e03, 0x80c7, 0x840d, 0x976b, 0xb85b, 0xe298, 0x10a6, 
+   0x3c8b, 0x6094, 0x7814, 0x7ffe, 0x774c, 0x5f1d, 0x3a96, 0x0e74, 
+   0xe073, 0xb689, 0x9629, 0x8385, 0x810a, 0x8f09, 0xabb2, 0xd34c, 
+   0x00b2, 0x2e03, 0x555a, 0x719e, 0x7f22, 0x7c26, 0x690c, 0x4850, 
+   0x1e32, 0xf028, 0xc42d, 0x9ff5, 0x8835, 0x8001, 0x886a, 0xa059, 
+   0xc4b2, 0xf0be, 0x1ec4, 0x48cc, 0x6962, 0x7c4a, 0x7f10, 0x7158, 
+   0x54ea, 0x2d77, 0x001c, 0xd2bf, 0xab41, 0x8ec2, 0x80f7, 0x83a8, 
+   0x967d, 0xb705, 0xe105, 0x0f09, 0x3b1b, 0x5f81, 0x7782, 0x7fff, 
+   0x77e0, 0x6031, 0x3c06, 0x1011, 0xe206, 0xb7df, 0x9715, 0x83e8, 
+   0x80d7, 0x8e48, 0xaa7b, 0xd1c7, 0xff14, 0x2c7e, 0x5423, 0x70dc, 
+   0x7eef, 0x7c88, 0x69f8, 0x49a6, 0x1fc5, 0xf1c5, 0xc59d, 0xa10a, 
+   0x88c9, 0x8002, 0x87d8, 0x9f46, 0xc343, 0xef21, 0x1d30, 0x4775, 
+   0x6874, 0x7be4, 0x7f40, 0x7217, 0x561f, 0x2efa, 0x01bc, 0xd445, 
+   0xac7a, 0x8f86, 0x812c, 0x8348, 0x9594, 0xb5b1, 0xdf72, 0x0d6c, 
+   0x39aa, 0x5e6b, 0x76ea, 0x7ffb, 0x786f, 0x6141, 0x3d74, 0x11ac, 
+   0xe39b, 0xb938, 0x9805, 0x8451, 0x80ab, 0x8d8b, 0xa947, 0xd045, 
+   0xfd75, 0x2af8, 0x52e8, 0x7016, 0x7eb7, 0x7ce6, 0x6ade, 0x4af8, 
+   0x2156, 0xf362, 0xc710, 0xa222, 0x8963, 0x8009, 0x874b, 0x9e38, 
+   0xc1d6, 0xed86, 0x1b9b, 0x461b, 0x6782, 0x7b79, 0x7f6a, 0x72d1, 
+   0x5751, 0x307b, 0x035b, 0xd5cc, 0xadb6, 0x904f, 0x8167, 0x82ed, 
+   0x94b0, 0xb460, 0xdde1, 0x0bcf, 0x3836, 0x5d50, 0x764e, 0x7ff1, 
+   0x78f9, 0x624d, 0x3edf, 0x1347, 0xe530, 0xba93, 0x98f9, 0x84be, 
+   0x8083, 0x8cd4, 0xa818, 0xcec5, 0xfbd5, 0x2970, 0x51aa, 0x6f4b, 
+   0x7e7a, 0x7d3e, 0x6bc1, 0x4c47, 0x22e7, 0xf500, 0xc885, 0xa33e, 
+   0x8a02, 0x8015, 0x86c4, 0x9d2e, 0xc06d, 0xebeb, 0x1a04, 0x44be, 
+   0x668b, 0x7b09, 0x7f8f, 0x7386, 0x587f, 0x31fb, 0x04fa, 0xd755, 
+   0xaef6, 0x911c, 0x81a7, 0x8298, 0x93d0, 0xb312, 0xdc51, 0x0a31, 
+   0x36bf, 0x5c32, 0x75ad, 0x7fe2, 0x797e, 0x6355, 0x4047, 0x14e2, 
+   0xe6c7, 0xbbf2, 0x99f2, 0x8531, 0x8060, 0x8c21, 0xa6ec, 0xcd46, 
+   0xfa36, 0x27e6, 0x5069, 0x6e7b, 0x7e37, 0x7d91, 0x6c9f, 0x4d93, 
+   0x2476, 0xf69e, 0xc9fd, 0xa45f, 0x8aa5, 0x8027, 0x8641, 0x9c28, 
+   0xbf05, 0xea51, 0x186d, 0x435e, 0x6590, 0x7a94, 0x7faf, 0x7437, 
+   0x59a9, 0x3378, 0x0699, 0xd8e0, 0xb039, 0x91ee, 0x81ec, 0x8247, 
+   0x92f4, 0xb1c8, 0xdac3, 0x0893, 0x3547, 0x5b10, 0x7507, 0x7fce, 
+   0x79ff, 0x6459, 0x41ad, 0x167b, 0xe85f, 0xbd53, 0x9aee, 0x85a8, 
+   0x8043, 0x8b73, 0xa5c3, 0xcbca, 0xf897, 0x265a, 0x4f24, 0x6da7, 
+   0x7df0, 0x7ddf, 0x6d78, 0x4edc, 0x2603, 0xf83c, 0xcb77, 0xa583, 
+   0x8b4d, 0x803e, 0x85c3, 0x9b26, 0xbda1, 0xe8b8, 0x16d5, 0x41fb, 
+   0x6492, 0x7a1a, 0x7fc9, 0x74e2, 0x5ad0, 0x34f4, 0x0838, 0xda6c, 
+   0xb180, 0x92c4, 0x8236, 0x81fc, 0x921d, 0xb081, 0xd937, 0x06f4, 
+   0x33cc, 0x59ea, 0x745d, 0x7fb5, 0x7a7a, 0x6559, 0x4311, 0x1814, 
+   0xe9f8, 0xbeb7, 0x9bef, 0x8625, 0x802b, 0x8ac9, 0xa49e, 0xca50, 
+   0xf6f9, 0x24cd, 0x4ddc, 0x6ccf, 0x7da3, 0x7e28, 0x6e4d, 0x5022, 
+   0x278f, 0xf9db, 0xccf3, 0xa6aa, 0x8bfa, 0x805a, 0x854a, 0x9a29, 
+   0xbc3f, 0xe720, 0x153c, 0x4096, 0x638f, 0x799b, 0x7fdf, 0x7589, 
+   0x5bf3, 0x366d, 0x09d6, 0xdbfa, 0xb2ca, 0x939f, 0x8286, 0x81b5, 
+   0x914a, 0xaf3d, 0xd7ab, 0x0555, 0x324f, 0x58c1, 0x73ad, 0x7f96, 
+   0x7af0, 0x6655, 0x4471, 0x19ab, 0xeb91, 0xc01e, 0x9cf5, 0x86a7, 
+   0x8019, 0x8a25, 0xa37d, 0xc8d8, 0xf55b, 0x233e, 0x4c90, 0x6bf2, 
+   0x7d51, 0x7e6c, 0x6f1e, 0x5164, 0x2919, 0xfb7a, 0xce71, 0xa7d6, 
+   0x8cac, 0x807b, 0x84d7, 0x992f, 0xbae0, 0xe589, 0x13a1, 0x3f2e, 
+   0x6287, 0x7917, 0x7fef, 0x762b, 0x5d12, 0x37e4, 0x0b74, 0xdd89, 
+   0xb417, 0x947e, 0x82da, 0x8174, 0x907c, 0xadfc, 0xd622, 0x03b6, 
+   0x30d0, 0x5793, 0x72f9, 0x7f73, 0x7b61, 0x674c, 0x45cf, 0x1b42, 
+   0xed2c, 0xc187, 0x9dfe, 0x872d, 0x800b, 0x8985, 0xa260, 0xc762, 
+   0xf3bd, 0x21ae, 0x4b42, 0x6b10, 0x7cfa, 0x7eaa, 0x6fea, 0x52a3, 
+   0x2aa2, 0xfd1a, 0xcff1, 0xa905, 0x8d63, 0x80a1, 0x8468, 0x983a, 
+   0xb984, 0xe3f4, 0x1207, 0x3dc4, 0x617c, 0x788e, 0x7ff9, 0x76c9, 
+   0x5e2d, 0x3958, 0x0d12, 0xdf1a, 0xb567, 0x9562, 0x8334, 0x8139, 
+   0x8fb2, 0xacbf, 0xd49a, 0x0217, 0x2f4f, 0x5663, 0x7240, 0x7f49, 
+   0x7bcd, 0x683f, 0x4729, 0x1cd7, 0xeec7, 0xc2f3, 0x9f0b, 0x87b9, 
+   0x8003, 0x88eb, 0xa147, 0xc5ee, 0xf220, 0x201d, 0x49f0, 0x6a2b, 
+   0x7c9d, 0x7ee3, 0x70b1, 0x53de, 0x2c29, 0xfeb9, 0xd173, 0xaa37, 
+   0x8e1e, 0x80cd, 0x83ff, 0x9749, 0xb82a, 0xe25f, 0x106b, 0x3c56, 
+   0x606d, 0x7800, 0x7fff, 0x7761, 0x5f44, 0x3aca, 0x0eaf, 0xe0ac, 
+   0xb6ba, 0x964a, 0x8393, 0x8102, 0x8eed, 0xab85, 0xd314, 0x0077, 
+   0x2dcc, 0x552e, 0x7183, 0x7f1b, 0x7c34, 0x692e, 0x4881, 0x1e6b, 
+   0xf063, 0xc461, 0xa01c, 0x8849, 0x8001, 0x8855, 0xa031, 0xc47d, 
+   0xf083, 0x1e8a, 0x489c, 0x6940, 0x7c3c, 0x7f17, 0x7174, 0x5516, 
+   0x2dae, 0x0057, 0xd2f6, 0xab6d, 0x8ede, 0x80fe, 0x839a, 0x965c, 
+   0xb6d4, 0xe0cb, 0x0ecf, 0x3ae7, 0x5f5a, 0x776c, 0x7fff, 0x77f4, 
+   0x6058, 0x3c3a, 0x104b, 0xe240, 0xb810, 0x9736, 0x83f7, 0x80d1, 
+   0x8e2d, 0xaa4f, 0xd190, 0xfed9, 0x2c47, 0x53f7, 0x70c0, 0x7ee7, 
+   0x7c96, 0x6a19, 0x49d6, 0x1ffe, 0xf200, 0xc5d2, 0xa131, 0x88df, 
+   0x8003, 0x87c4, 0x9f20, 0xc30f, 0xeee7, 0x1cf6, 0x4744, 0x6852, 
+   0x7bd5, 0x7f46, 0x7232, 0x564b, 0x2f31, 0x01f7, 0xd47c, 0xaca7, 
+   0x8fa3, 0x8134, 0x833b, 0x9574, 0xb581, 0xdf39, 0x0d32, 0x3975, 
+   0x5e43, 0x76d5, 0x7ffa, 0x7883, 0x6167, 0x3da8, 0x11e7, 0xe3d4, 
+   0xb969, 0x9827, 0x8460, 0x80a5, 0x8d71, 0xa91c, 0xd00e, 0xfd3a, 
+   0x2ac0, 0x52bb, 0x6ff9, 0x7eaf, 0x7cf3, 0x6aff, 0x4b28, 0x2190, 
+   0xf39d, 0xc745, 0xa24a, 0x8979, 0x800b, 0x8738, 0x9e12, 0xc1a3, 
+   0xed4c, 0x1b61, 0x45e9, 0x675f, 0x7b6a, 0x7f70, 0x72eb, 0x577c, 
+   0x30b2, 0x0396, 0xd604, 0xade4, 0x906c, 0x8170, 0x82e1, 0x9490, 
+   0xb430, 0xdda8, 0x0b94, 0x3800, 0x5d28, 0x7638, 0x7ff0, 0x790c, 
+   0x6273, 0x3f12, 0x1382, 0xe56a, 0xbac5, 0x991c, 0x84ce, 0x807e, 
+   0x8cba, 0xa7ed, 0xce8e, 0xfb9a, 0x2938, 0x517d, 0x6f2e, 0x7e71, 
+   0x7d4a, 0x6be1, 0x4c77, 0x2320, 0xf53b, 0xc8bb, 0xa367, 0x8a19, 
+   0x8018, 0x86b1, 0x9d09, 0xc039, 0xebb1, 0x19ca, 0x448c, 0x6668, 
+   0x7af9, 0x7f94, 0x73a0, 0x58aa, 0x3231, 0x0535, 0xd78d, 0xaf24, 
+   0x913a, 0x81b0, 0x828c, 0x93b0, 0xb2e3, 0xdc19, 0x09f6, 0x368a, 
+   0x5c09, 0x7596, 0x7fe0, 0x7991, 0x637a, 0x407a, 0x151c, 0xe701, 
+   0xbc24, 0x9a15, 0x8541, 0x805c, 0x8c08, 0xa6c1, 0xcd10, 0xf9fb, 
+   0x27ae, 0x503b, 0x6e5e, 0x7e2d, 0x7d9d, 0x6cbe, 0x4dc2, 0x24ae, 
+   0xf6d9, 0xca33, 0xa488, 0x8abd, 0x802a, 0x862f, 0x9c03, 0xbed2, 
+   0xea17, 0x1833, 0x432c, 0x656c, 0x7a83, 0x7fb3, 0x744f, 0x59d3, 
+   0x33ae, 0x06d4, 0xd918, 0xb068, 0x920c, 0x81f6, 0x823c, 0x92d5, 
+   0xb199, 0xda8b, 0x0858, 0x3511, 0x5ae6, 0x74ef, 0x7fcb, 0x7a10, 
+   0x647e, 0x41e0, 0x16b5, 0xe899, 0xbd85, 0x9b13, 0x85ba, 0x8040, 
+   0x8b5a, 0xa599, 0xcb94, 0xf85c, 0x2622, 0x4ef5, 0x6d89, 0x7de5, 
+   0x7dea, 0x6d97, 0x4f0b, 0x263c, 0xf877, 0xcbad, 0xa5ac, 0x8b66, 
+   0x8041, 0x85b2, 0x9b02, 0xbd6e, 0xe87e, 0x169b, 0x41c9, 0x646d, 
+   0x7a08, 0x7fcd, 0x74fa, 0x5af9, 0x3529, 0x0873, 0xdaa5, 0xb1af, 
+   0x92e3, 0x8241, 0x81f1, 0x91fe, 0xb053, 0xd8fe, 0x06b9, 0x3396, 
+   0x59c0, 0x7444, 0x7fb1, 0x7a8b, 0x657d, 0x4343, 0x184e, 0xea32, 
+   0xbeea, 0x9c14, 0x8637, 0x8028, 0x8ab2, 0xa475, 0xca1a, 0xf6be, 
+   0x2494, 0x4dad, 0x6cb0, 0x7d97, 0x7e32, 0x6e6b, 0x5050, 0x27c7, 
+   0xfa16, 0xcd29, 0xa6d5, 0x8c13, 0x805e, 0x853a, 0x9a05, 0xbc0d, 
+   0xe6e7, 0x1501, 0x4063, 0x6369, 0x7988, 0x7fe1, 0x75a1, 0x5c1c, 
+   0x36a2, 0x0a11, 0xdc33, 0xb2f9, 0x93bf, 0x8291, 0x81ac, 0x912c, 
+   0xaf0f, 0xd773, 0x051a, 0x3218, 0x5896, 0x7394, 0x7f92, 0x7b00, 
+   0x6678, 0x44a3, 0x19e5, 0xebcc, 0xc051, 0x9d1a, 0x86b9, 0x8017, 
+   0x8a0e, 0xa354, 0xc8a2, 0xf520, 0x2306, 0x4c61, 0x6bd2, 0x7d45, 
+   0x7e75, 0x6f3b, 0x5191, 0x2951, 0xfbb5, 0xcea7, 0xa800, 0x8cc6, 
+   0x8080, 0x84c7, 0x990c, 0xbaae, 0xe550, 0x1367, 0x3efb, 0x6262, 
+   0x7904, 0x7ff0, 0x7642, 0x5d3a, 0x3819, 0x0baf, 0xddc2, 0xb446, 
+   0x949e, 0x82e7, 0x816c, 0x905f, 0xadcf, 0xd5ea, 0x037b, 0x3099, 
+   0x5768, 0x72df, 0x7f6d, 0x7b71, 0x676f, 0x4600, 0x1b7b, 0xed66, 
+   0xc1ba, 0x9e24, 0x8741, 0x800a, 0x896f, 0xa238, 0xc72d, 0xf382, 
+   0x2175, 0x4b12, 0x6af0, 0x7ced, 0x7eb3, 0x7006, 0x52d0, 0x2ada, 
+   0xfd55, 0xd027, 0xa930, 0x8d7d, 0x80a7, 0x8459, 0x9817, 0xb952, 
+   0xe3ba, 0x11cc, 0x3d90, 0x6156, 0x787a, 0x7ffa, 0x76df, 0x5e55, 
+   0x398d, 0x0d4d, 0xdf53, 0xb597, 0x9583, 0x8341, 0x8131, 0x8f96, 
+   0xac92, 0xd463, 0x01dc, 0x2f18, 0x5637, 0x7226, 0x7f43, 0x7bdc, 
+   0x6861, 0x475a, 0x1d11, 0xef02, 0xc327, 0x9f32, 0x87cd, 0x8003, 
+   0x88d5, 0xa11f, 0xc5ba, 0xf1e5, 0x1fe4, 0x49c0, 0x6a0a, 0x7c90, 
+   0x7eeb, 0x70cd, 0x540b, 0x2c60, 0xfef4, 0xd1aa, 0xaa63, 0x8e39, 
+   0x80d4, 0x83f0, 0x9727, 0xb7f9, 0xe225, 0x1030, 0x3c22, 0x6046, 
+   0x77eb, 0x7fff, 0x7776, 0x5f6c, 0x3aff, 0x0eea, 0xe0e6, 0xb6ea, 
+   0x966b, 0x83a1, 0x80fb, 0x8ed1, 0xab59, 0xd2dd, 0x003c, 0x2d95, 
+   0x5502, 0x7167, 0x7f14, 0x7c42, 0x6950, 0x48b2, 0x1ea4, 0xf09e, 
+   0xc495, 0xa043, 0x885e, 0x8001, 0x8840, 0xa00a, 0xc449, 0xf048, 
+   0x1e51, 0x486b, 0x691f, 0x7c2e, 0x7f1e, 0x718f, 0x5543, 0x2de5, 
+   0x0092, 0xd32e, 0xab9a, 0x8efa, 0x8105, 0x838c, 0x963b, 0xb6a4, 
+   0xe092, 0x0e94, 0x3ab2, 0x5f32, 0x7757, 0x7fff, 0x7809, 0x607f, 
+   0x3c6e, 0x1086, 0xe279, 0xb841, 0x9758, 0x8405, 0x80ca, 0x8e12, 
+   0xaa23, 0xd159, 0xfe9e, 0x2c0f, 0x53ca, 0x70a4, 0x7ee0, 0x7ca3, 
+   0x6a3a, 0x4a06, 0x2037, 0xf23b, 0xc607, 0xa159, 0x88f5, 0x8004, 
+   0x87b0, 0x9ef9, 0xc2db, 0xeeac, 0x1cbd, 0x4713, 0x682f, 0x7bc6, 
+   0x7f4c, 0x724c, 0x5677, 0x2f68, 0x0232, 0xd4b4, 0xacd4, 0x8fbf, 
+   0x813c, 0x832e, 0x9553, 0xb551, 0xdf00, 0x0cf7, 0x3940, 0x5e1b, 
+   0x76bf, 0x7ff9, 0x7897, 0x618e, 0x3ddb, 0x1221, 0xe40e, 0xb99a, 
+   0x984a, 0x846f, 0x809f, 0x8d57, 0xa8f1, 0xcfd7, 0xfcfe, 0x2a88, 
+   0x528e, 0x6fdd, 0x7ea6, 0x7cff, 0x6b1f, 0x4b58, 0x21c9, 0xf3d8, 
+   0xc77a, 0xa273, 0x8990, 0x800c, 0x8724, 0x9dec, 0xc16f, 0xed11, 
+   0x1b27, 0x45b8, 0x673c, 0x7b5a, 0x7f75, 0x7305, 0x57a7, 0x30e9, 
+   0x03d1, 0xd63c, 0xae11, 0x9089, 0x8179, 0x82d4, 0x9470, 0xb401, 
+   0xdd6f, 0x0b59, 0x37cb, 0x5cff, 0x7621, 0x7fee, 0x7920, 0x6299, 
+   0x3f46, 0x13bc, 0xe5a4, 0xbaf7, 0x993f, 0x84de, 0x8079, 0x8ca0, 
+   0xa7c2, 0xce58, 0xfb5f, 0x2900, 0x514f, 0x6f10, 0x7e67, 0x7d56, 
+   0x6c00, 0x4ca6, 0x2359, 0xf576, 0xc8f0, 0xa390, 0x8a30, 0x801a, 
+   0x869e, 0x9ce3, 0xc006, 0xeb77, 0x1991, 0x445a, 0x6644, 0x7ae8, 
+   0x7f99, 0x73b9, 0x58d4, 0x3268, 0x0570, 0xd7c5, 0xaf52, 0x9157, 
+   0x81ba, 0x8280, 0x9391, 0xb2b4, 0xdbe0, 0x09bb, 0x3654, 0x5be0, 
+   0x757f, 0x7fdd, 0x79a3, 0x63a0, 0x40ae, 0x1556, 0xe73b, 0xbc56, 
+   0x9a39, 0x8552, 0x8058, 0x8bef, 0xa697, 0xccda, 0xf9c0, 0x2775, 
+   0x500c, 0x6e40, 0x7e23, 0x7da8, 0x6cdd, 0x4df1, 0x24e7, 0xf714, 
+   0xca68, 0xa4b1, 0x8ad4, 0x802d, 0x861d, 0x9bdf, 0xbea0, 0xe9dd, 
+   0x17f9, 0x42f9, 0x6548, 0x7a72, 0x7fb7, 0x7468, 0x59fd, 0x33e4, 
+   0x070f, 0xd950, 0xb096, 0x922a, 0x8200, 0x8231, 0x92b6, 0xb16b, 
+   0xda52, 0x081d, 0x34db, 0x5abd, 0x74d7, 0x7fc8, 0x7a22, 0x64a2, 
+   0x4213, 0x16ef, 0xe8d3, 0xbdb8, 0x9b37, 0x85cb, 0x803c, 0x8b42, 
+   0xa56f, 0xcb5e, 0xf821, 0x25e9, 0x4ec7, 0x6d6a, 0x7dda, 0x7df4, 
+   0x6db5, 0x4f39, 0x2674, 0xf8b2, 0xcbe3, 0xa5d6, 0x8b7e, 0x8045, 
+   0x85a0, 0x9ade, 0xbd3c, 0xe844, 0x1660, 0x4196, 0x6448, 0x79f6, 
+   0x7fd0, 0x7512, 0x5b23, 0x355f, 0x08ae, 0xdadd, 0xb1dd, 0x9302, 
+   0x824c, 0x81e7, 0x91e0, 0xb024, 0xd8c6, 0x067e, 0x3360, 0x5996, 
+   0x742b, 0x7fad, 0x7a9c, 0x65a1, 0x4375, 0x1888, 0xea6c, 0xbf1d, 
+   0x9c39, 0x8649, 0x8026, 0x8a9a, 0xa44c, 0xc9e4, 0xf683, 0x245c, 
+   0x4d7e, 0x6c90, 0x7d8c, 0x7e3c, 0x6e89, 0x507e, 0x2800, 0xfa51, 
+   0xcd5f, 0xa6ff, 0x8c2c, 0x8063, 0x8529, 0x99e1, 0xbbdb, 0xe6ad, 
+   0x14c7, 0x4030, 0x6344, 0x7976, 0x7fe4, 0x75b8, 0x5c45, 0x36d8, 
+   0x0a4c, 0xdc6c, 0xb328, 0x93de, 0x829d, 0x81a2, 0x910f, 0xaee1, 
+   0xd73b, 0x04df, 0x31e2, 0x586b, 0x737b, 0x7f8d, 0x7b11, 0x669b, 
+   0x44d5, 0x1a1f, 0xec06, 0xc084, 0x9d40, 0x86cc, 0x8014, 0x89f7, 
+   0xa32c, 0xc86d, 0xf4e5, 0x22cd, 0x4c31, 0x6bb2, 0x7d38, 0x7e7e, 
+   0x6f58, 0x51bf, 0x2989, 0xfbf0, 0xcede, 0xa82b, 0x8ce0, 0x8085, 
+   0x84b7, 0x98e9, 0xba7c, 0xe516, 0x132d, 0x3ec7, 0x623c, 0x78f0, 
+   0x7ff2, 0x7659, 0x5d63, 0x384e, 0x0bea, 0xddfb, 0xb476, 0x94bf, 
+   0x82f3, 0x8163, 0x9042, 0xada2, 0xd5b2, 0x0340, 0x3062, 0x573d, 
+   0x72c5, 0x7f67, 0x7b80, 0x6792, 0x4632, 0x1bb5, 0xeda1, 0xc1ee, 
+   0x9e4a, 0x8754, 0x8009, 0x8959, 0xa210, 0xc6f8, 0xf347, 0x213c, 
+   0x4ae2, 0x6acf, 0x7ce0, 0x7ebb, 0x7023, 0x52fd, 0x2b11, 0xfd90, 
+   0xd05e, 0xa95b, 0x8d98, 0x80ad, 0x844a, 0x97f5, 0xb921, 0xe380, 
+   0x1191, 0x3d5c, 0x612f, 0x7866, 0x7ffb, 0x76f4, 0x5e7d, 0x39c2, 
+   0x0d87, 0xdf8c, 0xb5c7, 0x95a4, 0x834e, 0x8129, 0x8f79, 0xac65, 
+   0xd42b, 0x01a1, 0x2ee1, 0x560b, 0x720b, 0x7f3d, 0x7beb, 0x6884, 
+   0x478c, 0x1d4a, 0xef3c, 0xc35b, 0x9f58, 0x87e1, 0x8002, 0x88bf, 
+   0xa0f7, 0xc585, 0xf1aa, 0x1faa, 0x4990, 0x69e8, 0x7c82, 0x7ef3, 
+   0x70e9, 0x5438, 0x2c98, 0xff2f, 0xd1e1, 0xaa8f, 0x8e54, 0x80db, 
+   0x83e2, 0x9705, 0xb7c9, 0xe1ec, 0x0ff6, 0x3bee, 0x601f, 0x77d6, 
+   0x7fff, 0x778b, 0x5f93, 0x3b33, 0x0f24, 0xe11f, 0xb71b, 0x968d, 
+   0x83af, 0x80f3, 0x8eb6, 0xab2c, 0xd2a6, 0x0001, 0x2d5d, 0x54d6, 
+   0x714c, 0x7f0d, 0x7c50, 0x6971, 0x48e3, 0x1ede, 0xf0d9, 0xc4ca, 
+   0xa06b, 0x8873, 0x8001, 0x882b, 0x9fe3, 0xc415, 0xf00e, 0x1e17, 
+   0x483a, 0x68fd, 0x7c1f, 0x7f25, 0x71aa, 0x556f, 0x2e1c, 0x00ce, 
+   0xd365, 0xabc6, 0x8f16, 0x810d, 0x837f, 0x9619, 0xb673, 0xe059, 
+   0x0e59, 0x3a7e, 0x5f0b, 0x7742, 0x7ffe, 0x781d, 0x60a6, 0x3ca2, 
+   0x10c0, 0xe2b3, 0xb872, 0x977a, 0x8414, 0x80c4, 0x8df7, 0xa9f7, 
+   0xd122, 0xfe63, 0x2bd8, 0x539d, 0x7088, 0x7ed8, 0x7cb1, 0x6a5b, 
+   0x4a36, 0x2070, 0xf275, 0xc63b, 0xa181, 0x890a, 0x8005, 0x879b, 
+   0x9ed3, 0xc2a7, 0xee72, 0x1c83, 0x46e2, 0x680d, 0x7bb7, 0x7f52, 
+   0x7267, 0x56a2, 0x2f9f, 0x026d, 0xd4ec, 0xad01, 0x8fdb, 0x8145, 
+   0x8321, 0x9532, 0xb521, 0xdec7, 0x0cbc, 0x390b, 0x5df3, 0x76a8, 
+   0x7ff7, 0x78aa, 0x61b4, 0x3e0f, 0x125c, 0xe448, 0xb9cc, 0x986c, 
+   0x847f, 0x8099, 0x8d3c, 0xa8c5, 0xcfa1, 0xfcc3, 0x2a51, 0x5261, 
+   0x6fc0, 0x7e9e, 0x7d0c, 0x6b40, 0x4b87, 0x2202, 0xf413, 0xc7af, 
+   0xa29b, 0x89a6, 0x800e, 0x8711, 0x9dc6, 0xc13c, 0xecd7, 0x1aed, 
+   0x4586, 0x6719, 0x7b4a, 0x7f7a, 0x731f, 0x57d2, 0x311f, 0x040c, 
+   0xd674, 0xae3f, 0x90a6, 0x8182, 0x82c8, 0x9450, 0xb3d1, 0xdd36, 
+   0x0b1e, 0x3796, 0x5cd7, 0x760a, 0x7fec, 0x7933, 0x62be, 0x3f79, 
+   0x13f7, 0xe5de, 0xbb28, 0x9963, 0x84ee, 0x8074, 0x8c87, 0xa797, 
+   0xce21, 0xfb24, 0x28c8, 0x5121, 0x6ef3, 0x7e5e, 0x7d62, 0x6c20, 
+   0x4cd5, 0x2391, 0xf5b1, 0xc925, 0xa3b9, 0x8a47, 0x801c, 0x868b, 
+   0x9cbe, 0xbfd3, 0xeb3c, 0x1957, 0x4428, 0x6621, 0x7ad8, 0x7f9d, 
+   0x73d2, 0x58ff, 0x329e, 0x05ab, 0xd7fd, 0xaf80, 0x9175, 0x81c4, 
+   0x8275, 0x9371, 0xb285, 0xdba7, 0x0980, 0x361f, 0x5bb7, 0x7567, 
+   0x7fdb, 0x79b6, 0x63c5, 0x40e1, 0x1591, 0xe775, 0xbc88, 0x9a5d, 
+   0x8563, 0x8053, 0x8bd6, 0xa66d, 0xcca3, 0xf985, 0x273d, 0x4fde, 
+   0x6e22, 0x7e19, 0x7db3, 0x6cfc, 0x4e20, 0x2520, 0xf74f, 0xca9e, 
+   0xa4db, 0x8aec, 0x8030, 0x860b, 0x9bba, 0xbe6d, 0xe9a3, 0x17bf, 
+   0x42c7, 0x6524, 0x7a61, 0x7fbb, 0x7481, 0x5a27, 0x341b, 0x074a, 
+   0xd989, 0xb0c4, 0x9249, 0x820b, 0x8226, 0x9297, 0xb13c, 0xda1a, 
+   0x07e2, 0x34a5, 0x5a93, 0x74bf, 0x7fc4, 0x7a34, 0x64c7, 0x4245, 
+   0x172a, 0xe90d, 0xbdeb, 0x9b5c, 0x85dd, 0x8038, 0x8b2a, 0xa546, 
+   0xcb28, 0xf7e6, 0x25b1, 0x4e98, 0x6d4c, 0x7dcf, 0x7dff, 0x6dd4, 
+   0x4f67, 0x26ac, 0xf8ed, 0xcc19, 0xa600, 0x8b97, 0x8049, 0x858f, 
+   0x9aba, 0xbd09, 0xe80a, 0x1626, 0x4163, 0x6424, 0x79e4, 0x7fd3, 
+   0x752a, 0x5b4c, 0x3595, 0x08e9, 0xdb16, 0xb20c, 0x9321, 0x8257, 
+   0x81dd, 0x91c2, 0xaff6, 0xd88e, 0x0643, 0x3329, 0x596c, 0x7412, 
+   0x7fa9, 0x7aad, 0x65c5, 0x43a7, 0x18c2, 0xeaa6, 0xbf50, 0x9c5e, 
+   0x865c, 0x8023, 0x8a83, 0xa422, 0xc9af, 0xf648, 0x2423, 0x4d4f, 
+   0x6c71, 0x7d80, 0x7e46, 0x6ea7, 0x50ac, 0x2838, 0xfa8c, 0xcd95, 
+   0xa72a, 0x8c46, 0x8067, 0x8518, 0x99be, 0xbba9, 0xe673, 0x148d, 
+   0x3ffd, 0x631f, 0x7963, 0x7fe6, 0x75cf, 0x5c6e, 0x370d, 0x0a87, 
+   0xdca4, 0xb357, 0x93fe, 0x82a9, 0x8199, 0x90f1, 0xaeb4, 0xd703, 
+   0x04a4, 0x31ab, 0x5840, 0x7361, 0x7f88, 0x7b21, 0x66bf, 0x4507, 
+   0x1a59, 0xec41, 0xc0b7, 0x9d65, 0x86df, 0x8012, 0x89e0, 0xa303, 
+   0xc838, 0xf4aa, 0x2294, 0x4c02, 0x6b92, 0x7d2c, 0x7e87, 0x6f75, 
+   0x51ec, 0x29c1, 0xfc2c, 0xcf14, 0xa856, 0x8cfa, 0x808b, 0x84a7, 
+   0x98c6, 0xba4b, 0xe4dc, 0x12f2, 0x3e94, 0x6216, 0x78dd, 0x7ff4, 
+   0x766f, 0x5d8b, 0x3883, 0x0c25, 0xde34, 0xb4a6, 0x94df, 0x8300, 
+   0x815a, 0x9025, 0xad74, 0xd57b, 0x0305, 0x302c, 0x5712, 0x72ab, 
+   0x7f62, 0x7b90, 0x67b4, 0x4663, 0x1bef, 0xeddb, 0xc222, 0x9e70, 
+   0x8768, 0x8007, 0x8943, 0xa1e8, 0xc6c3, 0xf30c, 0x2103, 0x4ab2, 
+   0x6aaf, 0x7cd3, 0x7ec3, 0x703f, 0x532a, 0x2b49, 0xfdcb, 0xd095, 
+   0xa987, 0x8db2, 0x80b3, 0x843b, 0x97d2, 0xb8f0, 0xe347, 0x1157, 
+   0x3d28, 0x6109, 0x7852, 0x7ffc, 0x770a, 0x5ea5, 0x39f7, 0x0dc2, 
+   0xdfc6, 0xb5f7, 0x95c4, 0x835c, 0x8121, 0x8f5d, 0xac39, 0xd3f4, 
+   0x0165, 0x2eaa, 0x55df, 0x71f0, 0x7f36, 0x7bfa, 0x68a6, 0x47bd, 
+   0x1d84, 0xef77, 0xc38f, 0x9f7f, 0x87f6, 0x8001, 0x88aa, 0xa0d0, 
+   0xc551, 0xf16f, 0x1f71, 0x495f, 0x69c7, 0x7c74, 0x7efa, 0x7105, 
+   0x5464, 0x2ccf, 0xff6a, 0xd218, 0xaabb, 0x8e6f, 0x80e1, 0x83d3, 
+   0x96e3, 0xb798, 0xe1b2, 0x0fbb, 0x3bba, 0x5ff8, 0x77c1, 0x7fff, 
+   0x77a0, 0x5fbb, 0x3b68, 0x0f5f, 0xe158, 0xb74b, 0x96ae, 0x83bd, 
+   0x80ec, 0x8e9a, 0xab00, 0xd26f, 0xffc7, 0x2d26, 0x54aa, 0x7130, 
+   0x7f06, 0x7c5e, 0x6993, 0x4913, 0x1f17, 0xf113, 0xc4fe, 0xa092, 
+   0x8889, 0x8001, 0x8816, 0x9fbc, 0xc3e1, 0xefd3, 0x1dde, 0x4809, 
+   0x68db, 0x7c11, 0x7f2c, 0x71c5, 0x559b, 0x2e53, 0x0109, 0xd39d, 
+   0xabf3, 0x8f31, 0x8115, 0x8371, 0x95f8, 0xb643, 0xe01f, 0x0e1e, 
+   0x3a49, 0x5ee3, 0x772c, 0x7ffd, 0x7832, 0x60cc, 0x3cd6, 0x10fb, 
+   0xe2ec, 0xb8a3, 0x979d, 0x8423, 0x80bd, 0x8ddc, 0xa9cb, 0xd0eb, 
+   0xfe28, 0x2ba0, 0x5370, 0x706c, 0x7ed0, 0x7cbe, 0x6a7b, 0x4a67, 
+   0x20aa, 0xf2b0, 0xc670, 0xa1a9, 0x8920, 0x8006, 0x8787, 0x9eac, 
+   0xc273, 0xee37, 0x1c49, 0x46b0, 0x67eb, 0x7ba8, 0x7f58, 0x7281, 
+   0x56ce, 0x2fd6, 0x02a8, 0xd523, 0xad2e, 0x8ff8, 0x814d, 0x8314, 
+   0x9512, 0xb4f1, 0xde8e, 0x0c81, 0x38d6, 0x5dca, 0x7692, 0x7ff6, 
+   0x78be, 0x61da, 0x3e43, 0x1296, 0xe481, 0xb9fd, 0x988f, 0x848e, 
+   0x8093, 0x8d22, 0xa89a, 0xcf6a, 0xfc88, 0x2a19, 0x5234, 0x6fa3, 
+   0x7e95, 0x7d19, 0x6b60, 0x4bb7, 0x223b, 0xf44e, 0xc7e4, 0xa2c3, 
+   0x89bd, 0x8010, 0x86fe, 0x9da0, 0xc108, 0xec9c, 0x1ab4, 0x4555
+};
+   
+float32_t transform_fft_f32_inputs[TRANSFORM_MAX_FFT_LEN * 2] =
+{
+    43.0264275639,	-17.0525215570,	-94.8488973910,	-8.1924989580,	7.2830326091,	66.8368719314,	33.9778190671,	117.8652289772,	
+    -129.6077797465,	-14.6420815368,	18.0239223278,	20.6760530292,	55.0375037651,	1.8674609862,	-85.6534302408,	-33.5750364909,	
+    29.2110949614,	110.4727049460,	-94.1914619387,	-1.4084169343,	83.5181653041,	47.3073514127,	-13.3420621181,	30.3389699104,	
+    12.1188124277,	100.9730921941,	-114.0146362390,	-77.5823200409,	37.2019034618,	40.0026301128,	-58.3387276630,	-34.9472398600,	
+    -5.1169678311,	-87.7660091118,	-150.5888601131,	56.0349370503,	50.2168884079,	-74.2313236767,	22.3648603560,	-6.8676387051,	
+    74.8957303680,	-90.1292012823,	-55.1436241586,	-66.6732976100,	-6.7918147615,	7.7612697081,	35.7892605979,	-20.0470508830,	
+    41.8369017546,	-143.7378056984,	-41.9127158600,	-108.3531841158,	-57.1917422289,	-124.2808828105,	38.9316388820,	-77.9212517405,	
+    37.1990818377,	-28.9545952748,	-155.6371057564,	45.8088886393,	36.2537018275,	-6.5727656016,	-104.2070491921,	45.5583813729,	
+    -19.7674717059,	-80.4802190947,	-1.4444563441,	-42.2142256438,	36.6546339194,	-57.0866498590,	44.4677067511,	65.7285753407,	
+    -103.8158864647,	25.4348723711,	-153.5419639389,	39.3608409474,	49.1658103436,	79.5570602275,	75.2944095996,	58.9394700746,	
+    -53.1018534392,	33.4172444014,	35.6224682287,	-64.4353396418,	-125.8464291251,	-47.6072111617,	-26.2177687594,	-12.0061322096,	
+    -17.7887967585,	-28.2926175090,	-62.0691715749,	40.5098573604,	-191.1123732593,	119.6750713043,	19.6182375803,	-26.7615252921,	
+    2.2957847015,	-108.3436451287,	-50.5906164995,	-5.6360985100,	-11.6772204201,	-84.2765293757,	-60.9317810068,	82.0446350218,	
+    -70.2048296348,	72.8738253222,	60.2450218115,	114.2741231228,	46.8180775285,	6.9915412654,	-8.9909197429,	-78.9165936808,	
+    66.4731535459,	-68.4235455651,	-79.8254597080,	-10.6308477115,	-62.6161569330,	-55.7744410292,	-11.8408366528,	98.1034940997,	
+    35.8213741877,	-54.4694482732,	86.9631830044,	-53.0343838122,	-47.4898642865,	-47.2010929590,	-31.3312639685,	-23.0908245172,	
+    12.0258009869,	-5.1098204703,	-9.8420230737,	-107.3328761158,	44.6810431959,	-17.9083820345,	-60.9753512872,	-7.5915088994,	
+    17.2250813329,	57.9176125648,	124.3004161362,	-63.1950908493,	120.5788885640,	-44.1734238117,	-91.7408095116,	-43.5696066595,	
+    -49.9560710099,	-167.8513443296,	-70.9437505499,	-46.4109705355,	-64.2264526456,	-13.9995803916,	-100.9548186356,	9.9101010575,	
+    -50.0615130815,	-55.7590145012,	-60.3195153388,	61.7913378549,	-102.0850899209,	53.2360193126,	-25.8997883369,	75.1445512333,	
+    -113.8148602310,	17.8027281119,	-19.5006822722,	-44.2169628471,	107.5017084384,	-113.7909124666,	-43.9735396033,	7.6880981388,	
+    46.7384653508,	9.9047443751,	81.8646964362,	132.3812863877,	-95.6959050236,	-68.5015813484,	65.8586404494,	18.5039353889,	
+    -30.1786166621,	-90.3098515667,	-22.9356228552,	-20.5778272423,	-2.2127786675,	-35.4418447703,	-51.8722915974,	-107.9024439078,	
+    -51.5940748232,	-51.7463262677,	74.2795485984,	94.2205022462,	9.7016384049,	-47.3556083155,	-36.7822314478,	-151.6455525363,	
+    -15.7183814485,	78.2063383182,	0.1516414969,	37.9304181609,	20.6185902740,	-22.2164106778,	6.1160554677,	2.4061326953,	
+    -111.6681824598,	-60.0858917090,	75.1698614693,	-76.5787410444,	28.3391655715,	-2.4946186443,	-68.0378899682,	104.0893199171,	
+    -51.8319647254,	38.8521710524,	75.9114239564,	73.9206172905,	-103.2533029987,	6.9002718274,	-36.6346436319,	-25.1990926265,	
+    1.5852145953,	-50.6438436795,	21.5018844428,	-151.9305562846,	-51.7326681814,	21.4475994143,	42.2564011921,	-74.0520586926,	
+    49.7370635809,	-13.2957534126,	36.6746826778,	-31.7005492589,	148.4894964268,	79.7890632353,	16.8856024809,	16.1690460177,	
+    39.2665169484,	117.2461167794,	-37.4827984831,	-47.8387803604,	-95.7025286193,	34.3058214285,	-124.9536456028,	56.1640195764,	
+    94.3636873606,	35.3992852810,	-38.3920852159,	-100.5738062016,	-29.7837022314,	42.9133913996,	-34.2715618187,	-14.3589115627,	
+    -16.5935468750,	20.4574192236,	-88.7897972666,	-38.6285080386,	53.3203422726,	98.5991486746,	122.7305462474,	67.7902817187,	
+    5.1764117389,	5.0632821624,	21.9288789574,	-78.3140512638,	-21.2069682335,	23.6342010925,	34.4445769455,	59.1346766615,	
+    28.9978778000,	39.8121180845,	-17.1650033520,	-56.9174900874,	17.8157086148,	-112.8801457350,	-122.4019040408,	140.8669393157,	
+    -65.4664329639,	40.6952775518,	32.7260891658,	-43.2565155866,	19.3945751928,	-20.1815002000,	-67.6601711640,	-18.1921178207,	
+    -35.6802153684,	49.9550290306,	131.4925251016,	-31.2940938167,	-5.2848453344,	-109.5580577933,	20.2437599390,	-8.8782958734,	
+    54.1836717264,	7.2555852190,	-3.5698316137,	-51.9236786262,	6.7861547980,	-104.4814551670,	45.8458629668,	70.0890876844,	
+    38.3572837740,	61.8024165129,	68.0176962024,	-12.8193934080,	-21.4661610917,	-0.9377108815,	-74.2100679061,	71.0490808147,	
+    91.9813889497,	-14.5797640164,	3.5036749129,	-138.3605478356,	-48.1501349794,	-16.0636922482,	-12.1334197606,	15.0562207637,	
+    -34.0878176054,	55.1075126157,	97.3829871877,	0.2053358099,	-94.8713267382,	51.5460954054,	21.2966946363,	58.1331025047,	
+    -23.4599044132,	-19.3315856528,	-8.4497193577,	-1.9594679356,	-33.1906549336,	-144.6825417978,	-57.1218958072,	35.7353406097,	
+    61.4666549819,	14.6536253128,	82.1632196866,	-44.6230161723,	-91.1022589278,	-18.5737673927,	-136.8975612334,	56.9606788003,	
+    70.7059960183,	-68.2829345081,	-10.2629800455,	-53.6385325047,	-68.7928766204,	88.2444688302,	83.1412324801,	-102.9206928160,	
+    -68.2329763159,	-69.7552955469,	108.2132269009,	-28.2582329307,	5.6685898328,	-36.0392956840,	43.3269513128,	-8.6436416796,	
+    -16.5054886972,	11.5008791788,	39.6923606683,	-28.9039554061,	13.5938214364,	-23.6296332202,	49.1171161163,	53.1636857935,	
+    -62.9672053166,	-54.2594757384,	48.3838956696,	8.0469071555,	-33.6472086213,	-120.5381752144,	55.0880453111,	17.8990740563,	
+    144.9402232336,	101.7886229203,	-73.3666393712,	-16.4721379138,	-12.7447935685,	101.8245160983,	-49.7026860415,	-15.1227790364,	
+    65.7430288442,	-131.8695390036,	10.2750933946,	90.9752774838,	-26.5859990591,	-95.6962772568,	76.2174589344,	24.8796848060,	
+    -38.8938223046,	54.1687774852,	-37.3585968996,	-34.6848570502,	33.0151011570,	-55.8345877671,	-3.9009101671,	-31.5024971691,	
+    -9.6863895491,	91.8719195957,	-58.9993249744,	-25.6887030614,	-8.0829472205,	4.6386491741,	-71.4019697167,	-21.3734669095,	
+    86.2079144404,	79.6823974266,	-0.0910915997,	44.8067718095,	58.7204020766,	72.6856808976,	-50.3373732478,	-116.1175365534,	
+    -15.0884909384,	5.4593772059,	-63.6553527905,	37.3460388205,	-32.2399421679,	95.7569350513,	-7.3700141964,	-56.0370832967,	
+    -41.7377150439,	-42.0042856519,	12.5134312941,	93.7845584531,	-32.4801087157,	-33.3976050318,	-24.2252126001,	-46.3199064467,	
+    -20.3704610276,	15.8571376404,	88.9127217235,	-33.1132582267,	-1.0005675836,	-28.1780471904,	150.9349379135,	38.0600520828,	
+    36.4338677563,	-3.3709201641,	29.7709773016,	16.5064119077,	21.3147729463,	110.6714300904,	18.8406036507,	14.8963298097,	
+    50.9975960392,	16.3991140350,	-194.0805845907,	-41.6723945839,	-74.8991127408,	-6.4587655805,	-0.6883628218,	-49.8709647175,	
+    194.2265120473,	64.3043624521,	16.0040882780,	68.4032551772,	-43.4050313128,	84.6826289824,	-28.1357565943,	134.6895584120,	
+    -7.9746152680,	-95.6692886462,	-48.9444370342,	79.4479343188,	-50.5345228122,	52.4800633307,	-14.7735051703,	-20.1510237050,	
+    22.5049816980,	64.4191999102,	24.8385648232,	99.4265041360,	62.0189508473,	-28.3892600378,	-109.8842008564,	-79.0407483407,	
+    18.3408112020,	49.1650536089,	31.5419844924,	-36.1160722679,	-132.9148081329,	10.4053531567,	-129.2463715470,	-43.4602207151,	
+    -24.2420653292,	91.5388317556,	21.4762248190,	-44.3810909139,	18.4098011282,	-45.8691164539,	-20.9831197962,	16.2076792914,	
+    66.0224147666,	-13.6794615513,	101.2163279622,	-62.4462618603,	22.2040981785,	-52.3208382802,	-24.7909079016,	58.5150375093,	
+    18.8569705105,	-55.6083430939,	131.0273367422,	-34.5209015065,	121.4357296573,	-77.2590299593,	-51.5929566898,	5.0247131098,	
+    -23.8451707592,	-4.5912313547,	31.1387246821,	61.7019310824,	49.1912429744,	-50.5836913031,	-74.8182600630,	-21.6209317022,	
+    20.9409464654,	-72.7870824583,	-28.3530746820,	-45.0794425434,	-13.4910629905,	-62.0158772255,	-34.1421181246,	44.2844972784,	
+    8.4213193211,	79.9349022793,	60.0160502260,	32.2272994080,	-72.2893887746,	17.3063698247,	-134.6335742431,	64.6499736261,	
+    7.1411921919,	-37.5517577873,	6.2405670930,	117.1920927305,	128.7420689815,	-3.1556854963,	-13.4100422909,	-11.9336372907,	
+    -8.6022400553,	-102.0033506666,	-78.4696575074,	15.0765861403,	-111.5219718576,	-13.4162786508,	38.2437013694,	61.1637732561,	
+    -34.4804160003,	107.4438003830,	-79.4193067813,	-81.1842853968,	-26.2622970331,	132.3205425408,	-119.1464268477,	67.3048866598,	
+    103.3266736715,	-58.1865815617,	27.6231908601,	-11.2004371750,	26.0340617206,	12.5696123916,	0.6442714420,	-30.7393043544,	
+    1.5314955897,	49.9110088250,	-106.1358721920,	51.1608329944,	-32.8684239794,	-27.7215905745,	-11.6450303367,	-36.7731678028,	
+    59.9383486599,	-4.6301990580,	5.0361682939,	-10.5669407980,	124.0908762205,	35.8305364082,	-123.6216777114,	-74.2569079167,	
+    -56.7651776816,	16.0736385582,	23.5030632215,	-110.6764295938,	44.3086821806,	9.4452708243,	5.3300080251,	39.0483916714,	
+    151.4550562868,	62.8957092621,	-116.8103461233,	5.1129927759,	-33.2252515135,	-9.4522506046,	22.7026048372,	-15.5264414569,	
+    71.2087620034,	19.1191568332,	50.3019546809,	-5.6096922409,	22.9344126462,	-7.7591876203,	31.8949515564,	-58.4253952381,	
+    66.4341297173,	-19.0583083044,	96.7695087855,	20.4934280047,	4.9544603116,	-20.8288135920,	-173.2659655408,	-62.4883621640,	
+    -48.5528422703,	12.1437504278,	60.2482234666,	-19.6072312919,	-34.6320214291,	129.0089698963,	-50.9042160618,	98.3952661477,	
+    -4.7051792479,	-13.1768910826,	69.5138802139,	58.5748201565,	-45.9385652563,	151.7952104306,	34.2541941013,	-58.0417838381,	
+    28.1480473670,	46.4006562684,	97.7001828545,	4.0855607626,	-32.6097018162,	16.8913949959,	105.7266202978,	-89.3978374651,	
+    -60.9338593128,	-41.2220734230,	49.9393070783,	95.0974764854,	49.2498366456,	58.6214364590,	34.1113830569,	45.6634098874,	
+    -22.5356086770,	-97.1978653617,	86.5565049535,	70.6118545777,	-30.6978082909,	118.7238621666,	14.5922386932,	11.3449652072,	
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+    -111.1986222065,	-32.0863426915,	-56.7330383564,	32.5073363806,	-7.1087996309,	-68.2226145792,	-157.6532604957,	45.2078386315,	
+    -2.8603211008,	33.3371110420,	37.7846637198,	-18.6405663742,	-91.0982111740,	23.2221097945,	-24.3522827840,	78.9413600618,	
+    62.8360928143,	-19.9242767252,	56.5032728402,	-5.5496240010,	8.6994906960,	83.5527376759,	-21.2346885874,	64.0836232315,	
+    22.9623722574,	-87.9578765280,	1.3523030640,	176.4067098705,	67.9036978634,	7.2537723049,	-122.2309062335,	-63.8632909466,	
+    -38.4903796734,	-16.2974411834,	2.3970826418,	64.3700072918,	-67.9197915888,	-116.4026668750,	67.5231031500,	34.6374455493,	
+    4.1311157296,	-2.9105015532,	70.8086558293,	39.2725441796,	33.8256743917,	-3.5843642097,	116.7643833804,	20.1092238787,	
+    -25.9766854190,	-51.9950492522,	3.5926636209,	-58.7583611171,	3.2768807331,	-83.5901878329,	68.7090363388,	31.4832422043,	
+    72.9380572718,	-165.9742811160,	33.9362033271,	-10.9519428632,	13.0808211304,	15.6672709051,	31.7224492437,	-24.1934977704,	
+    -111.0830116867,	11.6282084172,	-66.2259706857,	-1.9963673172,	30.0622960183,	53.3456859503,	-37.0919419160,	67.5944964290,	
+    18.5935153812,	48.9664966150,	67.3157768914,	-160.7111991618,	-25.1223842933,	-47.4479071245,	-16.7582679230,	-13.6039270052,	
+    1.7293472100,	-24.1741877419,	-76.9727398203,	-56.3783736939,	-66.9556303947,	-54.3511473684,	30.2542211582,	-66.8893229449,	
+    -73.2990092912,	239.3981985262,	-64.2850340511,	89.9092075497,	-15.3525489059,	53.3827372899,	-14.3319916122,	-115.0721596412,	
+    -50.4530123160,	44.0976786926,	52.2019557554,	72.6630207131,	27.5803572747,	33.4737730840,	-170.7640086205,	152.9204474548,	
+    -44.5872734278,	-41.0667502536,	26.6175854758,	-13.0179143239,	40.8518134705,	23.2781614140,	22.8861340709,	165.4158655103,	
+    45.0461105030,	-17.0077443894,	-2.3871329828,	-86.8854944700,	-38.5465304439,	51.8040803063,	-92.8924802068,	-113.2325293603,	
+    51.3604041632,	-18.3429725256,	-42.5989033884,	-38.9445115750,	-85.8273183104,	-56.4224331649,	17.4997720376,	89.3766578841,	
+    23.9239370283,	82.3838988229,	47.4013397563,	-28.0666334287,	77.6218433875,	-52.2133433307,	89.2938264737,	43.2058195424,	
+    49.4518987655,	-5.6570623864,	19.8577713391,	-33.2615393471,	73.6654400011,	27.5602339563,	-47.1471825605,	-34.0693505588,	
+    111.0944675938,	57.0173259682,	-63.4190502251,	46.5969999331,	49.3458328432,	-41.3853156260,	39.2494112424,	40.7148228670,	
+    -20.3911372187,	31.8352000294,	-0.9980198147,	22.2804091174,	54.0978218332,	-82.3683192993,	85.9892355872,	-58.3154306688,	
+    -104.2068911293,	91.0603181519,	32.9518095573,	20.8407188930,	34.7499759595,	81.9688480501,	-63.1013763435,	0.0064684915,	
+    -24.5056101811,	69.9306176471,	-27.5369930597,	-39.0144381716,	-14.4923929902,	-54.3182594365,	-130.3292318388,	-48.8158919788,	
+    53.2734036714,	-104.1048090944,	-70.0965204183,	3.6382745923,	83.6579656965,	23.1622465812,	126.4691310854,	102.9799547579,	
+    70.8617976147,	-8.1455978101,	-28.4590640876,	108.1156467676,	-1.9738076313,	-75.4909376542,	57.5780163484,	45.3155422582,	
+    -38.1742907476,	-52.1803902400,	-59.7016262432,	-23.3823853194,	-45.5457749841,	-10.5523915014,	-110.6271933849,	-32.0113288878,	
+    -86.9215548382,	87.4068451718,	70.9885834348,	25.1206930472,	30.7108505789,	115.6076847444,	-40.5697084903,	-56.6781054555,	
+    -31.4854227803,	-31.9552555012,	25.7938108182,	25.4540472201,	76.7058033375,	2.3905659773,	-5.9779298940,	-152.8056710400,	
+    -51.7485397077,	28.1462240336,	33.9693389366,	-71.9881317816,	-105.0496130632,	64.2276458511,	96.2519735406,	48.6822690044,	
+    -19.6594071488,	24.8884631741,	-33.0716823639,	-69.5612618256,	-25.2898319495,	98.8036926982,	-24.3703282453,	53.1789051370,	
+    86.5743876344,	18.0109802577,	68.3663740236,	112.3369755598,	-45.4492280850,	-151.6437874688,	-38.2167192413,	24.2163999975,	
+    -66.3294468430,	-150.1009914497,	-29.4992082835,	-92.1308610284,	-1.2762556067,	23.1500238372,	69.3063510487,	-69.0471660018,	
+    42.5150200276,	120.6653379806,	-152.6729845687,	48.9591377076,	2.7191539126,	0.2888762146,	-3.0784673164,	32.5853754582,	
+    -81.3351116851,	25.2072127071,	-36.3659441163,	-28.6250561447,	95.3073017008,	-75.7486406052,	65.1012680265,	-64.6031857772,	
+    56.1240652498,	-10.8517181129,	-3.7575141784,	42.9554134355,	32.9784965739,	-25.0327158003,	-147.2361479829,	-122.4898965848,	
+    -64.6526214445,	57.1527521244,	25.3983254376,	-74.5887309421,	105.2278400890,	118.4451948788,	-10.9195498541,	-45.2849091353,	
+    79.1200975888,	-60.8806018590,	-12.2957628012,	-10.2289743666,	77.2465842566,	-19.1618580885,	-50.3947630673,	130.5843172047,	
+    20.1829697245,	-24.4247513916,	71.3800655588,	-30.9467657000,	1.5373397590,	53.9054414421,	-87.7905799212,	58.1774557931,	
+    -154.0660955458,	119.2331706772,	7.0800339615,	-83.0564977313,	-99.0630549412,	64.4241699198,	27.5103964537,	36.9348345670,	
+    -10.4954521840,	-23.2759360131,	-167.1583158447,	-50.1929188975,	-17.1065117999,	-86.3978192131,	8.3733101608,	-19.6093068970,	
+    37.0486109491,	45.4922144870,	176.0647013511,	-14.1950922727,	16.7968812286,	-84.3138225875,	-53.2207464331,	-14.8171496969,	
+    65.2824157581,	93.3387940939,	-46.2740703075,	92.8129768305,	-57.1890439907,	27.2969064938,	-67.1547095718,	132.0520323271,	
+    -80.7686358272,	31.4140691769,	-52.8148627904,	-54.8739580131,	-149.8514804755,	56.0153122854,	-71.3742949563,	36.6095599948,	
+    42.3294500451,	1.2055515804,	-109.4906983981,	-71.9482696076,	-21.4390953534,	98.8949510272,	74.3069855376,	-35.1569830360,	
+    -34.9626381657,	64.2761847423,	64.7596378221,	-28.4775450749,	20.1459803277,	-26.5247867780,	-32.4734659348,	-27.8310906478,	
+    50.7956581065,	36.0746451268,	22.7531905225,	-13.9681530928,	49.5451440618,	-13.8510794385,	19.4999565108,	56.8774616945,	
+    -11.9205397259,	-71.7174333027,	138.8034243907,	-37.8252215401,	-38.5743154556,	-22.5072374207,	12.6209402643,	69.3207345010,	
+    70.3534390616,	71.5844311614,	4.0715727994,	25.4390606947,	-51.0777668722,	138.3617611366,	-34.2478029347,	-58.8492260984,	
+    -108.6623124843,	58.3034938571,	-36.9304647333,	116.5902412201,	-24.4020501110,	-74.7544840602,	67.7889120207,	-9.1455389450,	
+    -46.4456521441,	83.2551857934,	-113.9346066504,	46.2851467498,	-17.4102217179,	41.6989724702,	-23.8829078702,	76.1395799790,	
+    -27.1608730178,	-133.8787483532,	-59.9242635982,	120.5266415560,	124.9797395465,	35.5722660007,	-20.2412573812,	20.5492611902,	
+    -111.8745990845,	41.7389321101,	44.5758622786,	54.2189628306,	-44.4745944890,	-75.9761098966,	104.0472151578,	113.7219003284,	
+    33.0330354214,	-6.0923562541,	-14.8744671800,	62.5024055272,	3.7922184446,	1.1256712478,	-30.2126827228,	-83.4988699637,	
+    -103.7060854897,	-65.4982917403,	30.8897494352,	66.1124672663,	65.0983461952,	-52.5486436649,	-4.5556524541,	-26.5924272500,	
+    -94.1546367179,	-0.3559369287,	-45.0649519841,	-68.1274094478,	-7.0521865275,	-5.6612786174,	-12.5790011432,	51.2524661231,	
+    -3.6515125298,	92.9598974936,	-21.0468658542,	-40.8243392179,	-7.4342227950,	11.1119231703,	37.3371820746,	21.3179018153,	
+    50.2932980480,	-24.1611515405,	-41.7851721122,	-24.8691439055,	-28.3180388219,	121.1894536511,	15.7968116384,	17.9498027226,	
+    -55.3386005430,	-80.6689826830,	31.9394747713,	-28.1978017432,	-1.5538441529,	-4.0360096323,	73.9611531119,	17.7253526010,	
+    -24.8578563772,	18.4583438017,	75.2580204243,	-13.6139802015,	24.6918362443,	-63.0552815767,	-4.0312608443,	-14.8879121339,	
+    -2.8237511683,	-81.5024576341,	-4.2344562157,	107.1587476255,	-131.2910041645,	-25.6467586377,	0.4733397655,	62.8634326464,	
+    63.1852609425,	16.5913941858,	-96.6896044528,	81.2969911064,	18.2956425408,	-81.6677471269,	-39.2708721333,	-34.3080597347,	
+    22.5610412882,	57.2574226391,	77.9308780964,	-39.9342842346,	58.5581960994,	-5.7939281526,	104.9927182940,	-99.3837066580,	
+    25.9917768621,	-32.1605915683,	-30.4589523848,	64.8295771021,	-28.2183758982,	-37.9771330859,	-178.0772548046,	84.2925125233,	
+    45.4981954662,	49.2815212900,	-45.1224250038,	-5.9322404186,	-6.1309915876,	76.9070873365,	-11.5475730308,	18.2569564924,	
+    -124.4953563688,	53.8646820493,	-40.0231506068,	-74.3908746450,	-63.2011642999,	-18.9826189881,	69.7917580387,	-34.8403308318,	
+    -36.4625632706,	17.1934091336,	-20.8063613141,	-1.9067935434,	5.2259139474,	60.8368210348,	81.3087550974,	-42.6679999668,	
+    -95.5963552311,	-115.2609753741,	11.1809831183,	-48.3640194531,	75.1073797772,	30.8228127170,	-15.0904157375,	11.0538529673,	
+    107.4505154927,	-66.3486660110,	-32.0311111189,	38.4346222125,	8.9422998706,	-57.6098106212,	15.9132097612,	-132.1845158340,	
+    36.1916704283,	-10.5055186124,	-87.5658217149,	107.8931306399,	96.0334082800,	53.7264664477,	-72.0623965686,	-1.9038197721,	
+    26.1152808779,	119.6235796272,	48.3325601149,	117.6457486801,	28.0275495741,	-11.7030018715,	52.9236279862,	100.1176831736,	
+    -83.2423151898,	7.5280868233,	-15.3686195277,	-5.3432329923,	-27.9181052724,	-64.4492860287,	129.7502751613,	-82.3246020383,	
+    37.3256155504,	34.7298938660,	-57.0561320806,	-44.9581455455,	93.3481469867,	-54.3803550243,	26.4501204966,	18.8116878139,	
+    -74.4902220818,	15.4659232518,	-49.1948332727,	34.0006040345,	56.7177639954,	-28.8367897421,	83.8692564278,	35.6745892475,	
+    -45.7509262432,	30.3970223242,	106.1786129556,	-35.7843870107,	7.1339227808,	13.0894885560,	56.4666438735,	-23.8687514544,	
+    -111.5694112759,	-58.7858061292,	-61.2783887765,	44.1738302093,	54.7407844064,	14.3538652267,	108.5956394164,	-22.3846808158,	
+    2.5449431771,	70.3512724427,	29.5403015688,	-0.7212818796,	143.3497258886,	-17.2553350633,	-99.7681623907,	42.6913312311,	
+    35.7338157369,	-54.6728371746,	-38.0299088541,	10.1471440532,	-124.7095236710,	-190.8743243033,	139.7543496645,	-42.2528776639,	
+    39.0975372290,	27.8686903911,	22.7337255980,	42.7990612235,	-41.6771094483,	-23.0843729437,	49.7020046877,	11.0018909876,	
+    -16.5079644797,	-158.2821637063,	42.1950179525,	-30.4282660128,	67.9797563487,	-53.8121334664,	52.8306609341,	-5.2861803454,	
+    59.3808475761,	158.1836295178,	-26.8953096767,	78.8646320997,	-113.9365510474,	-37.1949934282,	53.6970193167,	-9.6523467804,	
+    7.7358952669,	-74.6220593088,	107.4394203873,	17.2364088475,	-36.5357935724,	-23.9301386540,	17.8174243490,	14.1204969615,	
+    -8.2599377000,	4.2743586584,	-46.4363395746,	-63.5670279031,	9.6872641411,	21.0630349930,	108.9834586896,	-124.7597975398,	
+    29.4251821664,	23.8313097730,	-40.8359610210,	91.9520219869,	95.7936525792,	-109.5783337883,	-60.1100153384,	-19.9591228893,	
+};
+
+/*--------------------------------------------------------------------------------*/
+/* FFT Lengths */
+/*--------------------------------------------------------------------------------*/
+
+/* 
+  To change test parameter values add/remove values inside CURLY and update 
+  the preceeding parameter to reflect the number of values inside CURLY. 
+*/
+
+ARR_DESC_DEFINE(uint16_t,
+                transform_radix2_fftlens,
+                7,
+                CURLY(
+                      16, 32, 64, 128, 256,
+                      512, 1024/*, 2048 , 4096 */));
+
+ARR_DESC_DEFINE(uint16_t,
+                transform_radix4_fftlens,
+                4,
+                CURLY(
+                      16, 64, 256, 1024/* , 4096 */));
+
+ARR_DESC_DEFINE(uint16_t,
+                transform_rfft_fftlens,
+                6,
+                CURLY(
+                      32, 64, 128, 256,
+                      512, 1024/*, 2048 , 4096, 8192*/));
+                    
+ARR_DESC_DEFINE(uint16_t,
+                transform_dct_fftlens,
+                3,
+                CURLY(
+                      128, 512, 2048/*, 8192*/));
+
+ARR_DESC_DEFINE(uint16_t,
+                transform_rfft_fast_fftlens,
+                7,
+                CURLY(
+                      32, 64, 128, 256,
+                      512, 1024, 2048));
+
+/*--------------------------------------------------------------------------------*/
+/* CFFT_F32 Structs */
+/*--------------------------------------------------------------------------------*/
+
+/* Uses radix2 lengths */
+ARR_DESC_DEFINE(const arm_cfft_instance_f32 *,
+                transform_cfft_f32_structs,
+                5,
+                CURLY(
+                    &arm_cfft_sR_f32_len16,
+                    &arm_cfft_sR_f32_len32,
+                    &arm_cfft_sR_f32_len64,
+                    &arm_cfft_sR_f32_len128,
+                    &arm_cfft_sR_f32_len256/*,
+                       &arm_cfft_sR_f32_len512, */
+                    /* &arm_cfft_sR_f32_len1024, */
+                    /* &arm_cfft_sR_f32_len2048, */
+                    /* &arm_cfft_sR_f32_len4096 */
+                    ));
+
+/*--------------------------------------------------------------------------------*/
+/* CFFT_Q31 Structs */
+/*--------------------------------------------------------------------------------*/
+
+/* Uses radix2 lengths */
+ARR_DESC_DEFINE(const arm_cfft_instance_q31 *,
+                transform_cfft_q31_structs,
+                5,
+                CURLY(
+                    &arm_cfft_sR_q31_len16,
+                    &arm_cfft_sR_q31_len32,
+                    &arm_cfft_sR_q31_len64,
+                    &arm_cfft_sR_q31_len128,
+                    &arm_cfft_sR_q31_len256/*,
+                       &arm_cfft_sR_q31_len512, */
+                    /* &arm_cfft_sR_q31_len1024, */
+                    /* &arm_cfft_sR_q31_len2048, */
+                    /* &arm_cfft_sR_q31_len4096 */
+                    ));
+
+/*--------------------------------------------------------------------------------*/
+/* CFFT_q15 Structs */
+/*--------------------------------------------------------------------------------*/
+
+/* Uses radix2 lengths */
+ARR_DESC_DEFINE(const arm_cfft_instance_q15 *,
+                transform_cfft_q15_structs,
+                5,
+                CURLY(
+                    &arm_cfft_sR_q15_len16,
+                    &arm_cfft_sR_q15_len32,
+                    &arm_cfft_sR_q15_len64,
+                    &arm_cfft_sR_q15_len128,
+                    &arm_cfft_sR_q15_len256/*,
+                       &arm_cfft_sR_q15_len512, */
+                    /* &arm_cfft_sR_q15_len1024, */
+                    /* &arm_cfft_sR_q15_len2048, */
+                    /* &arm_cfft_sR_q15_len4096 */
+                    ));
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MBLl_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MBLl_config.txt
new file mode 100644
index 0000000..00ed7ca
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MBLl_config.txt
@@ -0,0 +1,11 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MMLl_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MMLl_config.txt
new file mode 100644
index 0000000..c6863de
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MMLl_config.txt
@@ -0,0 +1,13 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.FPU=0                                            # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+cpu0.DSP=0                                            # (bool  , init-time) default = '1'      : Set whether the model has the DSP extension
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MMLld_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MMLld_config.txt
new file mode 100644
index 0000000..8c29693
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MMLld_config.txt
@@ -0,0 +1,13 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.FPU=0                                            # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+cpu0.DSP=1                                            # (bool  , init-time) default = '1'      : Set whether the model has the DSP extension
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MMLldfsp_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MMLldfsp_config.txt
new file mode 100644
index 0000000..d9eb125
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MMLldfsp_config.txt
@@ -0,0 +1,13 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.FPU=1                                            # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+cpu0.DSP=1                                            # (bool  , init-time) default = '1'      : Set whether the model has the DSP extension
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MMLlfsp_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MMLlfsp_config.txt
new file mode 100644
index 0000000..bb967fe
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/ARMv8MMLlfsp_config.txt
@@ -0,0 +1,13 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.FPU=1                                            # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+cpu0.DSP=0                                            # (bool  , init-time) default = '1'      : Set whether the model has the DSP extension
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM0l_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM0l_config.txt
new file mode 100644
index 0000000..9f2cb42
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM0l_config.txt
@@ -0,0 +1,8 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm0ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm0ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm0ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm0ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM3l_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM3l_config.txt
new file mode 100644
index 0000000..0a9b07f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM3l_config.txt
@@ -0,0 +1,8 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm3ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm3ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm3ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm3ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM4l_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM4l_config.txt
new file mode 100644
index 0000000..674c929
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM4l_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm4ct.vfp-present=0                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm4ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm4ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm4ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm4ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM4lf_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM4lf_config.txt
new file mode 100644
index 0000000..92c17ff
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM4lf_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm4ct.vfp-present=1                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm4ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm4ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm4ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm4ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM7l_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM7l_config.txt
new file mode 100644
index 0000000..2bc5193
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM7l_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm7ct.vfp-present=0                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm7ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm7ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm7ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm7ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM7lfdp_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM7lfdp_config.txt
new file mode 100644
index 0000000..e7f7596
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM7lfdp_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm7ct.vfp-present=1                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm7ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm7ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm7ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm7ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM7lfsp_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM7lfsp_config.txt
new file mode 100644
index 0000000..e7f7596
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP/cortexM7lfsp_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm7ct.vfp-present=1                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm7ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm7ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm7ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm7ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/CMSIS/RTX_Config.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/CMSIS/RTX_Config.c
new file mode 100644
index 0000000..719a5ca
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/CMSIS/RTX_Config.c
@@ -0,0 +1,63 @@
+/*
+ * Copyright (c) 2013-2017 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ *
+ * -----------------------------------------------------------------------------
+ *
+ * $Revision:   V5.1.0
+ *
+ * Project:     CMSIS-RTOS RTX
+ * Title:       RTX Configuration
+ *
+ * -----------------------------------------------------------------------------
+ */
+ 
+#include "cmsis_compiler.h"
+#include "rtx_os.h"
+ 
+// OS Idle Thread
+__WEAK __NO_RETURN void osRtxIdleThread (void *argument) {
+  (void)argument;
+
+  for (;;) {}
+}
+ 
+// OS Error Callback function
+__WEAK uint32_t osRtxErrorNotify (uint32_t code, void *object_id) {
+  (void)object_id;
+
+  switch (code) {
+    case osRtxErrorStackUnderflow:
+      // Stack underflow detected for thread (thread_id=object_id)
+      break;
+    case osRtxErrorISRQueueOverflow:
+      // ISR Queue overflow detected when inserting object (object_id)
+      break;
+    case osRtxErrorTimerQueueOverflow:
+      // User Timer Callback Queue overflow detected for timer (timer_id=object_id)
+      break;
+    case osRtxErrorClibSpace:
+      // Standard C/C++ library libspace not available: increase OS_THREAD_LIBSPACE_NUM
+      break;
+    case osRtxErrorClibMutex:
+      // Standard C/C++ library mutex initialization failed
+      break;
+    default:
+      break;
+  }
+  for (;;) {}
+return 0U;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/CMSIS/RTX_Config.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/CMSIS/RTX_Config.h
new file mode 100644
index 0000000..f9bb303
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/CMSIS/RTX_Config.h
@@ -0,0 +1,578 @@
+/*
+ * Copyright (c) 2013-2019 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ *
+ * -----------------------------------------------------------------------------
+ *
+ * $Revision:   V5.5.0
+ *
+ * Project:     CMSIS-RTOS RTX
+ * Title:       RTX Configuration definitions
+ *
+ * -----------------------------------------------------------------------------
+ */
+ 
+#ifndef RTX_CONFIG_H_
+#define RTX_CONFIG_H_
+ 
+#ifdef   _RTE_
+#include "RTE_Components.h"
+#ifdef    RTE_RTX_CONFIG_H
+#include  RTE_RTX_CONFIG_H
+#endif
+#endif
+ 
+//-------- <<< Use Configuration Wizard in Context Menu >>> --------------------
+ 
+// <h>System Configuration
+// =======================
+ 
+//   <o>Global Dynamic Memory size [bytes] <0-1073741824:8>
+//   <i> Defines the combined global dynamic memory size.
+//   <i> Default: 4096
+#ifndef OS_DYNAMIC_MEM_SIZE
+#define OS_DYNAMIC_MEM_SIZE         4096
+#endif
+ 
+//   <o>Kernel Tick Frequency [Hz] <1-1000000>
+//   <i> Defines base time unit for delays and timeouts.
+//   <i> Default: 1000 (1ms tick)
+#ifndef OS_TICK_FREQ
+#define OS_TICK_FREQ                1000
+#endif
+ 
+//   <e>Round-Robin Thread switching
+//   <i> Enables Round-Robin Thread switching.
+#ifndef OS_ROBIN_ENABLE
+#define OS_ROBIN_ENABLE             1
+#endif
+ 
+//     <o>Round-Robin Timeout <1-1000>
+//     <i> Defines how many ticks a thread will execute before a thread switch.
+//     <i> Default: 5
+#ifndef OS_ROBIN_TIMEOUT
+#define OS_ROBIN_TIMEOUT            5
+#endif
+ 
+//   </e>
+ 
+//   <o>ISR FIFO Queue 
+//      <4=>  4 entries    <8=>   8 entries   <12=>  12 entries   <16=>  16 entries
+//     <24=> 24 entries   <32=>  32 entries   <48=>  48 entries   <64=>  64 entries
+//     <96=> 96 entries  <128=> 128 entries  <196=> 196 entries  <256=> 256 entries
+//   <i> RTOS Functions called from ISR store requests to this buffer.
+//   <i> Default: 16 entries
+#ifndef OS_ISR_FIFO_QUEUE
+#define OS_ISR_FIFO_QUEUE           16
+#endif
+ 
+//   <q>Object Memory usage counters
+//   <i> Enables object memory usage counters (requires RTX source variant).
+#ifndef OS_OBJ_MEM_USAGE
+#define OS_OBJ_MEM_USAGE            0
+#endif
+ 
+// </h>
+ 
+// <h>Thread Configuration
+// =======================
+ 
+//   <e>Object specific Memory allocation
+//   <i> Enables object specific memory allocation.
+#ifndef OS_THREAD_OBJ_MEM
+#define OS_THREAD_OBJ_MEM           0
+#endif
+ 
+//     <o>Number of user Threads <1-1000>
+//     <i> Defines maximum number of user threads that can be active at the same time.
+//     <i> Applies to user threads with system provided memory for control blocks.
+#ifndef OS_THREAD_NUM
+#define OS_THREAD_NUM               1
+#endif
+ 
+//     <o>Number of user Threads with default Stack size <0-1000>
+//     <i> Defines maximum number of user threads with default stack size.
+//     <i> Applies to user threads with zero stack size specified.
+#ifndef OS_THREAD_DEF_STACK_NUM
+#define OS_THREAD_DEF_STACK_NUM     0
+#endif
+ 
+//     <o>Total Stack size [bytes] for user Threads with user-provided Stack size <0-1073741824:8>
+//     <i> Defines the combined stack size for user threads with user-provided stack size.
+//     <i> Applies to user threads with user-provided stack size and system provided memory for stack.
+//     <i> Default: 0
+#ifndef OS_THREAD_USER_STACK_SIZE
+#define OS_THREAD_USER_STACK_SIZE   0
+#endif
+ 
+//   </e>
+ 
+//   <o>Default Thread Stack size [bytes] <96-1073741824:8>
+//   <i> Defines stack size for threads with zero stack size specified.
+//   <i> Default: 256
+#ifndef OS_STACK_SIZE
+#define OS_STACK_SIZE               512
+#endif
+ 
+//   <o>Idle Thread Stack size [bytes] <72-1073741824:8>
+//   <i> Defines stack size for Idle thread.
+//   <i> Default: 256
+#ifndef OS_IDLE_THREAD_STACK_SIZE
+#define OS_IDLE_THREAD_STACK_SIZE   512
+#endif
+ 
+//   <o>Idle Thread TrustZone Module Identifier
+//   <i> Defines TrustZone Thread Context Management Identifier.
+//   <i> Applies only to cores with TrustZone technology.
+//   <i> Default: 0 (not used)
+#ifndef OS_IDLE_THREAD_TZ_MOD_ID
+#define OS_IDLE_THREAD_TZ_MOD_ID    0
+#endif
+ 
+//   <q>Stack overrun checking
+//   <i> Enables stack overrun check at thread switch.
+//   <i> Enabling this option increases slightly the execution time of a thread switch.
+#ifndef OS_STACK_CHECK
+#define OS_STACK_CHECK              1
+#endif
+ 
+//   <q>Stack usage watermark
+//   <i> Initializes thread stack with watermark pattern for analyzing stack usage.
+//   <i> Enabling this option increases significantly the execution time of thread creation.
+#ifndef OS_STACK_WATERMARK
+#define OS_STACK_WATERMARK          0
+#endif
+ 
+//   <o>Processor mode for Thread execution 
+//     <0=> Unprivileged mode 
+//     <1=> Privileged mode
+//   <i> Default: Privileged mode
+#ifndef OS_PRIVILEGE_MODE
+#define OS_PRIVILEGE_MODE           1
+#endif
+ 
+// </h>
+ 
+// <h>Timer Configuration
+// ======================
+ 
+//   <e>Object specific Memory allocation
+//   <i> Enables object specific memory allocation.
+#ifndef OS_TIMER_OBJ_MEM
+#define OS_TIMER_OBJ_MEM            0
+#endif
+ 
+//     <o>Number of Timer objects <1-1000>
+//     <i> Defines maximum number of objects that can be active at the same time.
+//     <i> Applies to objects with system provided memory for control blocks.
+#ifndef OS_TIMER_NUM
+#define OS_TIMER_NUM                1
+#endif
+ 
+//   </e>
+ 
+//   <o>Timer Thread Priority
+//      <8=> Low
+//     <16=> Below Normal  <24=> Normal  <32=> Above Normal
+//     <40=> High
+//     <48=> Realtime
+//   <i> Defines priority for timer thread
+//   <i> Default: High
+#ifndef OS_TIMER_THREAD_PRIO
+#define OS_TIMER_THREAD_PRIO        40
+#endif
+ 
+//   <o>Timer Thread Stack size [bytes] <0-1073741824:8>
+//   <i> Defines stack size for Timer thread.
+//   <i> May be set to 0 when timers are not used.
+//   <i> Default: 256
+#ifndef OS_TIMER_THREAD_STACK_SIZE
+#define OS_TIMER_THREAD_STACK_SIZE  256
+#endif
+ 
+//   <o>Timer Thread TrustZone Module Identifier
+//   <i> Defines TrustZone Thread Context Management Identifier.
+//   <i> Applies only to cores with TrustZone technology.
+//   <i> Default: 0 (not used)
+#ifndef OS_TIMER_THREAD_TZ_MOD_ID
+#define OS_TIMER_THREAD_TZ_MOD_ID   0
+#endif
+ 
+//   <o>Timer Callback Queue entries <0-256>
+//   <i> Number of concurrent active timer callback functions.
+//   <i> May be set to 0 when timers are not used.
+//   <i> Default: 4
+#ifndef OS_TIMER_CB_QUEUE
+#define OS_TIMER_CB_QUEUE           4
+#endif
+ 
+// </h>
+ 
+// <h>Event Flags Configuration
+// ============================
+ 
+//   <e>Object specific Memory allocation
+//   <i> Enables object specific memory allocation.
+#ifndef OS_EVFLAGS_OBJ_MEM
+#define OS_EVFLAGS_OBJ_MEM          0
+#endif
+ 
+//     <o>Number of Event Flags objects <1-1000>
+//     <i> Defines maximum number of objects that can be active at the same time.
+//     <i> Applies to objects with system provided memory for control blocks.
+#ifndef OS_EVFLAGS_NUM
+#define OS_EVFLAGS_NUM              1
+#endif
+ 
+//   </e>
+ 
+// </h>
+ 
+// <h>Mutex Configuration
+// ======================
+ 
+//   <e>Object specific Memory allocation
+//   <i> Enables object specific memory allocation.
+#ifndef OS_MUTEX_OBJ_MEM
+#define OS_MUTEX_OBJ_MEM            0
+#endif
+ 
+//     <o>Number of Mutex objects <1-1000>
+//     <i> Defines maximum number of objects that can be active at the same time.
+//     <i> Applies to objects with system provided memory for control blocks.
+#ifndef OS_MUTEX_NUM
+#define OS_MUTEX_NUM                1
+#endif
+ 
+//   </e>
+ 
+// </h>
+ 
+// <h>Semaphore Configuration
+// ==========================
+ 
+//   <e>Object specific Memory allocation
+//   <i> Enables object specific memory allocation.
+#ifndef OS_SEMAPHORE_OBJ_MEM
+#define OS_SEMAPHORE_OBJ_MEM        0
+#endif
+ 
+//     <o>Number of Semaphore objects <1-1000>
+//     <i> Defines maximum number of objects that can be active at the same time.
+//     <i> Applies to objects with system provided memory for control blocks.
+#ifndef OS_SEMAPHORE_NUM
+#define OS_SEMAPHORE_NUM            1
+#endif
+ 
+//   </e>
+ 
+// </h>
+ 
+// <h>Memory Pool Configuration
+// ============================
+ 
+//   <e>Object specific Memory allocation
+//   <i> Enables object specific memory allocation.
+#ifndef OS_MEMPOOL_OBJ_MEM
+#define OS_MEMPOOL_OBJ_MEM          0
+#endif
+ 
+//     <o>Number of Memory Pool objects <1-1000>
+//     <i> Defines maximum number of objects that can be active at the same time.
+//     <i> Applies to objects with system provided memory for control blocks.
+#ifndef OS_MEMPOOL_NUM
+#define OS_MEMPOOL_NUM              1
+#endif
+ 
+//     <o>Data Storage Memory size [bytes] <0-1073741824:8>
+//     <i> Defines the combined data storage memory size.
+//     <i> Applies to objects with system provided memory for data storage.
+//     <i> Default: 0
+#ifndef OS_MEMPOOL_DATA_SIZE
+#define OS_MEMPOOL_DATA_SIZE        0
+#endif
+ 
+//   </e>
+ 
+// </h>
+ 
+// <h>Message Queue Configuration
+// ==============================
+ 
+//   <e>Object specific Memory allocation
+//   <i> Enables object specific memory allocation.
+#ifndef OS_MSGQUEUE_OBJ_MEM
+#define OS_MSGQUEUE_OBJ_MEM         0
+#endif
+ 
+//     <o>Number of Message Queue objects <1-1000>
+//     <i> Defines maximum number of objects that can be active at the same time.
+//     <i> Applies to objects with system provided memory for control blocks.
+#ifndef OS_MSGQUEUE_NUM
+#define OS_MSGQUEUE_NUM             1
+#endif
+ 
+//     <o>Data Storage Memory size [bytes] <0-1073741824:8>
+//     <i> Defines the combined data storage memory size.
+//     <i> Applies to objects with system provided memory for data storage.
+//     <i> Default: 0
+#ifndef OS_MSGQUEUE_DATA_SIZE
+#define OS_MSGQUEUE_DATA_SIZE       0
+#endif
+ 
+//   </e>
+ 
+// </h>
+ 
+// <h>Event Recorder Configuration
+// ===============================
+ 
+//   <e>Global Initialization
+//   <i> Initialize Event Recorder during 'osKernelInitialize'.
+#ifndef OS_EVR_INIT
+#define OS_EVR_INIT                 0
+#endif
+ 
+//     <q>Start recording
+//     <i> Start event recording after initialization.
+#ifndef OS_EVR_START
+#define OS_EVR_START                1
+#endif
+ 
+//     <h>Global Event Filter Setup
+//     <i> Initial recording level applied to all components.
+//       <o.0>Error events
+//       <o.1>API function call events
+//       <o.2>Operation events
+//       <o.3>Detailed operation events
+//     </h>
+#ifndef OS_EVR_LEVEL
+#define OS_EVR_LEVEL                0x00U
+#endif
+ 
+//     <h>RTOS Event Filter Setup
+//     <i> Recording levels for RTX components.
+//     <i> Only applicable if events for the respective component are generated.
+ 
+//       <h>Memory Management
+//       <i> Recording level for Memory Management events.
+//         <o.0>Error events
+//         <o.1>API function call events
+//         <o.2>Operation events
+//         <o.3>Detailed operation events
+//       </h>
+#ifndef OS_EVR_MEMORY_LEVEL 
+#define OS_EVR_MEMORY_LEVEL         0x01U
+#endif
+ 
+//       <h>Kernel
+//       <i> Recording level for Kernel events.
+//         <o.0>Error events
+//         <o.1>API function call events
+//         <o.2>Operation events
+//         <o.3>Detailed operation events
+//       </h>
+#ifndef OS_EVR_KERNEL_LEVEL 
+#define OS_EVR_KERNEL_LEVEL         0x01U
+#endif
+ 
+//       <h>Thread
+//       <i> Recording level for Thread events.
+//         <o.0>Error events
+//         <o.1>API function call events
+//         <o.2>Operation events
+//         <o.3>Detailed operation events
+//       </h>
+#ifndef OS_EVR_THREAD_LEVEL 
+#define OS_EVR_THREAD_LEVEL         0x05U
+#endif
+ 
+//       <h>Generic Wait
+//       <i> Recording level for Generic Wait events.
+//         <o.0>Error events
+//         <o.1>API function call events
+//         <o.2>Operation events
+//         <o.3>Detailed operation events
+//       </h>
+#ifndef OS_EVR_WAIT_LEVEL 
+#define OS_EVR_WAIT_LEVEL           0x01U
+#endif
+ 
+//       <h>Thread Flags
+//       <i> Recording level for Thread Flags events.
+//         <o.0>Error events
+//         <o.1>API function call events
+//         <o.2>Operation events
+//         <o.3>Detailed operation events
+//       </h>
+#ifndef OS_EVR_THFLAGS_LEVEL 
+#define OS_EVR_THFLAGS_LEVEL        0x01U
+#endif
+ 
+//       <h>Event Flags
+//       <i> Recording level for Event Flags events.
+//         <o.0>Error events
+//         <o.1>API function call events
+//         <o.2>Operation events
+//         <o.3>Detailed operation events
+//       </h>
+#ifndef OS_EVR_EVFLAGS_LEVEL 
+#define OS_EVR_EVFLAGS_LEVEL        0x01U
+#endif
+ 
+//       <h>Timer
+//       <i> Recording level for Timer events.
+//         <o.0>Error events
+//         <o.1>API function call events
+//         <o.2>Operation events
+//         <o.3>Detailed operation events
+//       </h>
+#ifndef OS_EVR_TIMER_LEVEL 
+#define OS_EVR_TIMER_LEVEL          0x01U
+#endif
+ 
+//       <h>Mutex
+//       <i> Recording level for Mutex events.
+//         <o.0>Error events
+//         <o.1>API function call events
+//         <o.2>Operation events
+//         <o.3>Detailed operation events
+//       </h>
+#ifndef OS_EVR_MUTEX_LEVEL 
+#define OS_EVR_MUTEX_LEVEL          0x01U
+#endif
+ 
+//       <h>Semaphore
+//       <i> Recording level for Semaphore events.
+//         <o.0>Error events
+//         <o.1>API function call events
+//         <o.2>Operation events
+//         <o.3>Detailed operation events
+//       </h>
+#ifndef OS_EVR_SEMAPHORE_LEVEL 
+#define OS_EVR_SEMAPHORE_LEVEL      0x01U
+#endif
+ 
+//       <h>Memory Pool
+//       <i> Recording level for Memory Pool events.
+//         <o.0>Error events
+//         <o.1>API function call events
+//         <o.2>Operation events
+//         <o.3>Detailed operation events
+//       </h>
+#ifndef OS_EVR_MEMPOOL_LEVEL 
+#define OS_EVR_MEMPOOL_LEVEL        0x01U
+#endif
+ 
+//       <h>Message Queue
+//       <i> Recording level for Message Queue events.
+//         <o.0>Error events
+//         <o.1>API function call events
+//         <o.2>Operation events
+//         <o.3>Detailed operation events
+//       </h>
+#ifndef OS_EVR_MSGQUEUE_LEVEL 
+#define OS_EVR_MSGQUEUE_LEVEL       0x01U
+#endif
+ 
+//     </h>
+ 
+//   </e>
+ 
+//   <h>RTOS Event Generation
+//   <i> Enables event generation for RTX components (requires RTX source variant).
+ 
+//     <q>Memory Management
+//     <i> Enables Memory Management event generation.
+#ifndef OS_EVR_MEMORY
+#define OS_EVR_MEMORY               1
+#endif
+ 
+//     <q>Kernel
+//     <i> Enables Kernel event generation.
+#ifndef OS_EVR_KERNEL
+#define OS_EVR_KERNEL               1
+#endif
+ 
+//     <q>Thread
+//     <i> Enables Thread event generation.
+#ifndef OS_EVR_THREAD
+#define OS_EVR_THREAD               1
+#endif
+ 
+//     <q>Generic Wait
+//     <i> Enables Generic Wait event generation.
+#ifndef OS_EVR_WAIT
+#define OS_EVR_WAIT                 1
+#endif
+ 
+//     <q>Thread Flags
+//     <i> Enables Thread Flags event generation.
+#ifndef OS_EVR_THFLAGS
+#define OS_EVR_THFLAGS              1
+#endif
+ 
+//     <q>Event Flags
+//     <i> Enables Event Flags event generation.
+#ifndef OS_EVR_EVFLAGS
+#define OS_EVR_EVFLAGS              1
+#endif
+ 
+//     <q>Timer
+//     <i> Enables Timer event generation.
+#ifndef OS_EVR_TIMER
+#define OS_EVR_TIMER                1
+#endif
+ 
+//     <q>Mutex
+//     <i> Enables Mutex event generation.
+#ifndef OS_EVR_MUTEX
+#define OS_EVR_MUTEX                1
+#endif
+ 
+//     <q>Semaphore
+//     <i> Enables Semaphore event generation.
+#ifndef OS_EVR_SEMAPHORE
+#define OS_EVR_SEMAPHORE            1
+#endif
+ 
+//     <q>Memory Pool
+//     <i> Enables Memory Pool event generation.
+#ifndef OS_EVR_MEMPOOL
+#define OS_EVR_MEMPOOL              1
+#endif
+ 
+//     <q>Message Queue
+//     <i> Enables Message Queue event generation.
+#ifndef OS_EVR_MSGQUEUE
+#define OS_EVR_MSGQUEUE             1
+#endif
+ 
+//   </h>
+ 
+// </h>
+ 
+// Number of Threads which use standard C/C++ library libspace
+// (when thread specific memory allocation is not used).
+#if (OS_THREAD_OBJ_MEM == 0)
+#define OS_THREAD_LIBSPACE_NUM      4
+#else
+#define OS_THREAD_LIBSPACE_NUM      OS_THREAD_NUM
+#endif
+ 
+//------------- <<< end of configuration section >>> ---------------------------
+ 
+#endif  // RTX_CONFIG_H_
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/CMSIS/handlers.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/CMSIS/handlers.c
new file mode 100644
index 0000000..ee65ce4
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/CMSIS/handlers.c
@@ -0,0 +1,153 @@
+/*
+ * Copyright (c) 2013-2017 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ *
+ * -----------------------------------------------------------------------------
+ *
+ * Project:     CMSIS-RTOS RTX
+ * Title:       Exception handlers (C functions)
+ *
+ * -----------------------------------------------------------------------------
+ */
+#include "RTE_Components.h"
+#include CMSIS_device_header
+
+
+//Fault Status Register (IFSR/DFSR) definitions
+#define FSR_ALIGNMENT_FAULT                  0x01   //DFSR only. Fault on first lookup
+#define FSR_INSTRUCTION_CACHE_MAINTENANCE    0x04   //DFSR only - async/external
+#define FSR_SYNC_EXT_TTB_WALK_FIRST          0x0c   //sync/external
+#define FSR_SYNC_EXT_TTB_WALK_SECOND         0x0e   //sync/external
+#define FSR_SYNC_PARITY_TTB_WALK_FIRST       0x1c   //sync/external
+#define FSR_SYNC_PARITY_TTB_WALK_SECOND      0x1e   //sync/external
+#define FSR_TRANSLATION_FAULT_FIRST          0x05   //MMU Fault - internal
+#define FSR_TRANSLATION_FAULT_SECOND         0x07   //MMU Fault - internal
+#define FSR_ACCESS_FLAG_FAULT_FIRST          0x03   //MMU Fault - internal
+#define FSR_ACCESS_FLAG_FAULT_SECOND         0x06   //MMU Fault - internal
+#define FSR_DOMAIN_FAULT_FIRST               0x09   //MMU Fault - internal
+#define FSR_DOMAIN_FAULT_SECOND              0x0b   //MMU Fault - internal
+#define FSR_PERMISSION_FAULT_FIRST           0x0f   //MMU Fault - internal
+#define FSR_PERMISSION_FAULT_SECOND          0x0d   //MMU Fault - internal
+#define FSR_DEBUG_EVENT                      0x02   //internal
+#define FSR_SYNC_EXT_ABORT                   0x08   //sync/external
+#define FSR_TLB_CONFLICT_ABORT               0x10   //sync/external
+#define FSR_LOCKDOWN                         0x14   //internal
+#define FSR_COPROCESSOR_ABORT                0x1a   //internal
+#define FSR_SYNC_PARITY_ERROR                0x19   //sync/external
+#define FSR_ASYNC_EXTERNAL_ABORT             0x16   //DFSR only - async/external
+#define FSR_ASYNC_PARITY_ERROR               0x18   //DFSR only - async/external
+
+void CDAbtHandler(uint32_t DFSR, uint32_t DFAR, uint32_t LR) {
+    uint32_t FS = (DFSR & (1 << 10)) >> 6 | (DFSR & 0x0f); //Store Fault Status
+
+    switch(FS) {
+        //Synchronous parity errors - retry
+        case FSR_SYNC_PARITY_ERROR:
+        case FSR_SYNC_PARITY_TTB_WALK_FIRST:
+        case FSR_SYNC_PARITY_TTB_WALK_SECOND:
+            return;
+
+        //Your code here. Value in DFAR is invalid for some fault statuses.
+        case FSR_ALIGNMENT_FAULT:
+        case FSR_INSTRUCTION_CACHE_MAINTENANCE:
+        case FSR_SYNC_EXT_TTB_WALK_FIRST:
+        case FSR_SYNC_EXT_TTB_WALK_SECOND:
+        case FSR_TRANSLATION_FAULT_FIRST:
+        case FSR_TRANSLATION_FAULT_SECOND:
+        case FSR_ACCESS_FLAG_FAULT_FIRST:
+        case FSR_ACCESS_FLAG_FAULT_SECOND:
+        case FSR_DOMAIN_FAULT_FIRST:
+        case FSR_DOMAIN_FAULT_SECOND:
+        case FSR_PERMISSION_FAULT_FIRST:
+        case FSR_PERMISSION_FAULT_SECOND:
+        case FSR_DEBUG_EVENT:
+        case FSR_SYNC_EXT_ABORT:
+        case FSR_TLB_CONFLICT_ABORT:
+        case FSR_LOCKDOWN:
+        case FSR_COPROCESSOR_ABORT:
+        case FSR_ASYNC_EXTERNAL_ABORT: //DFAR invalid
+        case FSR_ASYNC_PARITY_ERROR:   //DFAR invalid
+        default:
+            while(1);
+    }
+}
+
+void CPAbtHandler(uint32_t IFSR, uint32_t IFAR, uint32_t LR) {
+    uint32_t FS = (IFSR & (1 << 10)) >> 6 | (IFSR & 0x0f); //Store Fault Status
+
+    switch(FS) {
+        //Synchronous parity errors - retry
+        case FSR_SYNC_PARITY_ERROR:
+        case FSR_SYNC_PARITY_TTB_WALK_FIRST:
+        case FSR_SYNC_PARITY_TTB_WALK_SECOND:
+            return;
+
+        //Your code here. Value in IFAR is invalid for some fault statuses.
+        case FSR_SYNC_EXT_TTB_WALK_FIRST:
+        case FSR_SYNC_EXT_TTB_WALK_SECOND:
+        case FSR_TRANSLATION_FAULT_FIRST:
+        case FSR_TRANSLATION_FAULT_SECOND:
+        case FSR_ACCESS_FLAG_FAULT_FIRST:
+        case FSR_ACCESS_FLAG_FAULT_SECOND:
+        case FSR_DOMAIN_FAULT_FIRST:
+        case FSR_DOMAIN_FAULT_SECOND:
+        case FSR_PERMISSION_FAULT_FIRST:
+        case FSR_PERMISSION_FAULT_SECOND:
+        case FSR_DEBUG_EVENT: //IFAR invalid
+        case FSR_SYNC_EXT_ABORT:
+        case FSR_TLB_CONFLICT_ABORT:
+        case FSR_LOCKDOWN:
+        case FSR_COPROCESSOR_ABORT:
+        default:
+            while(1);
+    }
+}
+
+
+//returns amount to decrement lr by
+//this will be 0 when we have emulated the instruction and want to execute the next instruction
+//this will be 2 when we have performed some maintenance and want to retry the instruction in Thumb (state == 2)
+//this will be 4 when we have performed some maintenance and want to retry the instruction in ARM   (state == 4)
+uint32_t CUndefHandler(uint32_t opcode, uint32_t state, uint32_t LR) {
+    const int THUMB = 2;
+    const int ARM = 4;
+    //Lazy VFP/NEON initialisation and switching
+
+    // (ARM ARM section A7.5) VFP data processing instruction?
+    // (ARM ARM section A7.6) VFP/NEON register load/store instruction?
+    // (ARM ARM section A7.8) VFP/NEON register data transfer instruction?
+    // (ARM ARM section A7.9) VFP/NEON 64-bit register data transfer instruction?
+    if ((state == ARM   && ((opcode & 0x0C000000) >> 26 == 0x03)) ||
+        (state == THUMB && ((opcode & 0xEC000000) >> 26 == 0x3B))) {
+        if (((opcode & 0x00000E00) >> 9) == 5) {
+            __FPU_Enable();
+            return state;
+        }
+    }
+
+    // (ARM ARM section A7.4) NEON data processing instruction?
+    if ((state == ARM   && ((opcode & 0xFE000000) >> 24 == 0xF2)) ||
+        (state == THUMB && ((opcode & 0xEF000000) >> 24 == 0xEF)) ||
+    // (ARM ARM section A7.7) NEON load/store instruction?
+        (state == ARM   && ((opcode >> 24) == 0xF4)) ||
+        (state == THUMB && ((opcode >> 24) == 0xF9))) {
+            __FPU_Enable();
+            return state;
+    }
+
+    //Add code here for other Undef cases
+    while(1);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/mem_ARMCA5.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/mem_ARMCA5.h
new file mode 100644
index 0000000..96fc081
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/mem_ARMCA5.h
@@ -0,0 +1,94 @@
+/**************************************************************************//**
+ * @file     mem_ARMCA5.h
+ * @brief    Memory base and size definitions (used in scatter file)
+ * @version  V1.00
+ * @date     10. January 2018
+ *
+ * @note
+ *
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __MEM_ARMCA5_H
+#define __MEM_ARMCA5_H
+
+/*----------------------------------------------------------------------------
+  User Stack & Heap size definition
+ *----------------------------------------------------------------------------*/
+/*
+//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+*/
+
+/*--------------------- ROM Configuration ------------------------------------
+//
+// <h> ROM Configuration
+//   <o0> ROM Base Address <0x0-0xFFFFFFFF:8>
+//   <o1> ROM Size (in Bytes) <0x0-0xFFFFFFFF:8>
+// </h>
+ *----------------------------------------------------------------------------*/
+#define __ROM_BASE       0x80000000
+#define __ROM_SIZE       0x00200000
+
+/*--------------------- RAM Configuration -----------------------------------
+// <h> RAM Configuration
+//   <o0> RAM Base Address    <0x0-0xFFFFFFFF:8>
+//   <o1> RAM Total Size (in Bytes) <0x0-0xFFFFFFFF:8>
+//   <o2> RW_DATA Size (in Bytes) <0x0-0xFFFFFFFF:8>
+//   <o3> ZI_DATA Size (in Bytes) <0x0-0xFFFFFFFF:8>
+//   <h> Stack / Heap Configuration
+//     <o4>  Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+//     <o5>  Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+//     <h> Exceptional Modes
+//       <o6> UND Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+//       <o7> ABT Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+//       <o8> SVC Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+//       <o9> IRQ Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+//       <o10> FIQ Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+//     </h>
+//   </h>
+// </h>
+ *----------------------------------------------------------------------------*/
+#define __RAM_BASE       0x80200000
+#define __RAM_SIZE       0x00200000
+
+#define __RW_DATA_SIZE   0x00100000
+#define __ZI_DATA_SIZE   0x000F0000
+
+#define __STACK_SIZE     0x00001000
+#define __HEAP_SIZE      0x00008000
+
+#define __UND_STACK_SIZE 0x00000100
+#define __ABT_STACK_SIZE 0x00000100
+#define __SVC_STACK_SIZE 0x00000100
+#define __IRQ_STACK_SIZE 0x00000100
+#define __FIQ_STACK_SIZE 0x00000100
+
+/*----------------------------------------------------------------------------*/
+
+/*--------------------- TTB Configuration ------------------------------------
+//
+// <h> TTB Configuration
+//   <o0> TTB Base Address <0x0-0xFFFFFFFF:8>
+//   <o1> TTB Size (in Bytes) <0x0-0xFFFFFFFF:8>
+// </h>
+ *----------------------------------------------------------------------------*/
+#define __TTB_BASE       0x80500000
+#define __TTB_SIZE       0x00004000
+
+#endif /* __MEM_ARMCA5_H */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/mmu_ARMCA5.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/mmu_ARMCA5.c
new file mode 100644
index 0000000..91f1432
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/mmu_ARMCA5.c
@@ -0,0 +1,235 @@
+/**************************************************************************//**
+ * @file     mmu_ARMCA5.c
+ * @brief    MMU Configuration for ARM Cortex-A5 Device Series
+ * @version  V1.1.0
+ * @date     23. November 2018
+ *
+ * @note
+ *
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+/* Memory map description from: DUI0447G_v2m_p1_trm.pdf 4.2.2 ARM Cortex-A Series memory map
+
+                                                     Memory Type
+0xffffffff |--------------------------|             ------------
+           |       FLAG SYNC          |             Device Memory
+0xfffff000 |--------------------------|             ------------
+           |         Fault            |                Fault
+0xfff00000 |--------------------------|             ------------
+           |                          |                Normal
+           |                          |
+           |      Daughterboard       |
+           |         memory           |
+           |                          |
+0x80505000 |--------------------------|             ------------
+           |TTB (L2 Sync Flags   ) 4k |                Normal
+0x80504C00 |--------------------------|             ------------
+           |TTB (L2 Peripherals-B) 16k|                Normal
+0x80504800 |--------------------------|             ------------
+           |TTB (L2 Peripherals-A) 16k|                Normal
+0x80504400 |--------------------------|             ------------
+           |TTB (L2 Priv Periphs)  4k |                Normal
+0x80504000 |--------------------------|             ------------
+           |    TTB (L1 Descriptors)  |                Normal
+0x80500000 |--------------------------|             ------------
+           |           Heap           |                Normal
+           |--------------------------|             ------------
+           |          Stack           |                Normal
+0x80400000 |--------------------------|             ------------
+           |         ZI Data          |                Normal
+0x80300000 |--------------------------|             ------------
+           |         RW Data          |                Normal
+0x80200000 |--------------------------|             ------------
+           |         RO Data          |                Normal
+           |--------------------------|             ------------
+           |         RO Code          |              USH Normal
+0x80000000 |--------------------------|             ------------
+           |      Daughterboard       |                Fault
+           |      HSB AXI buses       |
+0x40000000 |--------------------------|             ------------
+           |      Daughterboard       |                Fault
+           |  test chips peripherals  |
+0x2c002000 |--------------------------|             ------------
+           |     Private Address      |            Device Memory
+0x2c000000 |--------------------------|             ------------
+           |      Daughterboard       |                Fault
+           |  test chips peripherals  |
+0x20000000 |--------------------------|             ------------
+           |       Peripherals        |           Device Memory RW/RO
+           |                          |              & Fault
+0x00000000 |--------------------------|
+*/
+
+// L1 Cache info and restrictions about architecture of the caches (CCSIR register):
+// Write-Through support *not* available
+// Write-Back support available.
+// Read allocation support available.
+// Write allocation support available.
+
+//Note: You should use the Shareable attribute carefully.
+//For cores without coherency logic (such as SCU) marking a region as shareable forces the processor to not cache that region regardless of the inner cache settings.
+//Cortex-A versions of RTX use LDREX/STREX instructions relying on Local monitors. Local monitors will be used only when the region gets cached, regions that are not cached will use the Global Monitor.
+//Some Cortex-A implementations do not include Global Monitors, so wrongly setting the attribute Shareable may cause STREX to fail.
+
+//Recall: When the Shareable attribute is applied to a memory region that is not Write-Back, Normal memory, data held in this region is treated as Non-cacheable.
+//When SMP bit = 0, Inner WB/WA Cacheable Shareable attributes are treated as Non-cacheable.
+//When SMP bit = 1, Inner WB/WA Cacheable Shareable attributes are treated as Cacheable.
+
+
+//Following MMU configuration is expected
+//SCTLR.AFE == 1 (Simplified access permissions model - AP[2:1] define access permissions, AP[0] is an access flag)
+//SCTLR.TRE == 0 (TEX remap disabled, so memory type and attributes are described directly by bits in the descriptor)
+//Domain 0 is always the Client domain
+//Descriptors should place all memory in domain 0
+
+#include "ARMCA5.h"
+
+
+// L2 table pointers
+//----------------------------------------
+#define PRIVATE_TABLE_L2_BASE_4k       (0x80504000) //Map 4k Private Address space
+#define SYNC_FLAGS_TABLE_L2_BASE_4k    (0x80504C00) //Map 4k Flag synchronization
+#define PERIPHERAL_A_TABLE_L2_BASE_64k (0x80504400) //Map 64k Peripheral #1 0x1C000000 - 0x1C00FFFFF
+#define PERIPHERAL_B_TABLE_L2_BASE_64k (0x80504800) //Map 64k Peripheral #2 0x1C100000 - 0x1C1FFFFFF
+
+//--------------------- PERIPHERALS -------------------
+#define PERIPHERAL_A_FAULT (0x00000000 + 0x1c000000) //0x1C000000-0x1C00FFFF (1M)
+#define PERIPHERAL_B_FAULT (0x00100000 + 0x1c000000) //0x1C100000-0x1C10FFFF (1M)
+
+//--------------------- SYNC FLAGS --------------------
+#define FLAG_SYNC     0xFFFFF000
+#define F_SYNC_BASE   0xFFF00000  //1M aligned
+
+//Import symbols from linker
+extern uint32_t Image$$VECTORS$$Base;
+extern uint32_t Image$$RW_DATA$$Base;
+extern uint32_t Image$$ZI_DATA$$Base;
+extern uint32_t Image$$TTB$$ZI$$Base;
+
+static uint32_t Sect_Normal;     //outer & inner wb/wa, non-shareable, executable, rw, domain 0, base addr 0
+static uint32_t Sect_Normal_Cod; //outer & inner wb/wa, non-shareable, executable, ro, domain 0, base addr 0
+static uint32_t Sect_Normal_RO;  //as Sect_Normal_Cod, but not executable
+static uint32_t Sect_Normal_RW;  //as Sect_Normal_Cod, but writeable and not executable
+static uint32_t Sect_Device_RO;  //device, non-shareable, non-executable, ro, domain 0, base addr 0
+static uint32_t Sect_Device_RW;  //as Sect_Device_RO, but writeable
+
+/* Define global descriptors */
+static uint32_t Page_L1_4k  = 0x0;  //generic
+static uint32_t Page_L1_64k = 0x0;  //generic
+static uint32_t Page_4k_Device_RW;  //Shared device, not executable, rw, domain 0
+static uint32_t Page_64k_Device_RW; //Shared device, not executable, rw, domain 0
+
+void MMU_CreateTranslationTable(void)
+{
+    mmu_region_attributes_Type region;
+
+    //Create 4GB of faulting entries
+    MMU_TTSection (&Image$$TTB$$ZI$$Base, 0, 4096, DESCRIPTOR_FAULT);
+
+    /*
+     * Generate descriptors. Refer to core_ca.h to get information about attributes
+     *
+     */
+    //Create descriptors for Vectors, RO, RW, ZI sections
+    section_normal(Sect_Normal, region);
+    section_normal_cod(Sect_Normal_Cod, region);
+    section_normal_ro(Sect_Normal_RO, region);
+    section_normal_rw(Sect_Normal_RW, region);
+    //Create descriptors for peripherals
+    section_device_ro(Sect_Device_RO, region);
+    section_device_rw(Sect_Device_RW, region);
+    //Create descriptors for 64k pages
+    page64k_device_rw(Page_L1_64k, Page_64k_Device_RW, region);
+    //Create descriptors for 4k pages
+    page4k_device_rw(Page_L1_4k, Page_4k_Device_RW, region);
+
+
+    /*
+     *  Define MMU flat-map regions and attributes
+     *
+     */
+
+    //Define Image
+    MMU_TTSection (&Image$$TTB$$ZI$$Base, (uint32_t)&Image$$VECTORS$$Base, 2, Sect_Normal_Cod);
+    MMU_TTSection (&Image$$TTB$$ZI$$Base, (uint32_t)&Image$$RW_DATA$$Base, 1, Sect_Normal_RW);
+    MMU_TTSection (&Image$$TTB$$ZI$$Base, (uint32_t)&Image$$ZI_DATA$$Base, 1, Sect_Normal_RW);
+
+    //all DRAM executable, rw, cacheable - applications may choose to divide memory into ro executable
+    MMU_TTSection (&Image$$TTB$$ZI$$Base, (uint32_t)&Image$$TTB$$ZI$$Base, 2043, Sect_Normal);
+
+    //--------------------- PERIPHERALS -------------------
+    MMU_TTSection (&Image$$TTB$$ZI$$Base, VE_A5_MP_FLASH_BASE0    , 64, Sect_Device_RO);
+    MMU_TTSection (&Image$$TTB$$ZI$$Base, VE_A5_MP_FLASH_BASE1    , 64, Sect_Device_RO);
+    MMU_TTSection (&Image$$TTB$$ZI$$Base, VE_A5_MP_SRAM_BASE      , 64, Sect_Device_RW);
+    MMU_TTSection (&Image$$TTB$$ZI$$Base, VE_A5_MP_VRAM_BASE      , 32, Sect_Device_RW);
+    MMU_TTSection (&Image$$TTB$$ZI$$Base, VE_A5_MP_ETHERNET_BASE  , 16, Sect_Device_RW);
+    MMU_TTSection (&Image$$TTB$$ZI$$Base, VE_A5_MP_USB_BASE       , 16, Sect_Device_RW);
+
+    // Create (16 * 64k)=1MB faulting entries to cover peripheral range 0x1C000000-0x1C00FFFF
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, PERIPHERAL_A_FAULT      , 16, Page_L1_64k, (uint32_t *)PERIPHERAL_A_TABLE_L2_BASE_64k, DESCRIPTOR_FAULT);
+    // Define peripheral range 0x1C000000-0x1C00FFFF
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_DAP_BASE       ,  1, Page_L1_64k, (uint32_t *)PERIPHERAL_A_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_SYSTEM_REG_BASE,  1, Page_L1_64k, (uint32_t *)PERIPHERAL_A_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_SERIAL_BASE    ,  1, Page_L1_64k, (uint32_t *)PERIPHERAL_A_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_AACI_BASE      ,  1, Page_L1_64k, (uint32_t *)PERIPHERAL_A_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_MMCI_BASE      ,  1, Page_L1_64k, (uint32_t *)PERIPHERAL_A_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_KMI0_BASE      ,  2, Page_L1_64k, (uint32_t *)PERIPHERAL_A_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_UART_BASE      ,  4, Page_L1_64k, (uint32_t *)PERIPHERAL_A_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_WDT_BASE       ,  1, Page_L1_64k, (uint32_t *)PERIPHERAL_A_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+
+    // Create (16 * 64k)=1MB faulting entries to cover peripheral range 0x1C100000-0x1C10FFFF
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, PERIPHERAL_B_FAULT      , 16, Page_L1_64k, (uint32_t *)PERIPHERAL_B_TABLE_L2_BASE_64k, DESCRIPTOR_FAULT);
+    // Define peripheral range 0x1C100000-0x1C10FFFF
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_TIMER_BASE     ,  2, Page_L1_64k, (uint32_t *)PERIPHERAL_B_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_DVI_BASE       ,  1, Page_L1_64k, (uint32_t *)PERIPHERAL_B_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_RTC_BASE       ,  1, Page_L1_64k, (uint32_t *)PERIPHERAL_B_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_UART4_BASE     ,  1, Page_L1_64k, (uint32_t *)PERIPHERAL_B_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+    MMU_TTPage64k(&Image$$TTB$$ZI$$Base, VE_A5_MP_CLCD_BASE      ,  1, Page_L1_64k, (uint32_t *)PERIPHERAL_B_TABLE_L2_BASE_64k, Page_64k_Device_RW);
+
+    // Create (256 * 4k)=1MB faulting entries to cover private address space. Needs to be marked as Device memory
+    MMU_TTPage4k (&Image$$TTB$$ZI$$Base, __get_CBAR()            ,256,  Page_L1_4k, (uint32_t *)PRIVATE_TABLE_L2_BASE_4k, DESCRIPTOR_FAULT);
+    // Define private address space entry.
+    MMU_TTPage4k (&Image$$TTB$$ZI$$Base, __get_CBAR()            ,  3,  Page_L1_4k, (uint32_t *)PRIVATE_TABLE_L2_BASE_4k, Page_4k_Device_RW);
+    // Define L2CC entry.  Uncomment if PL310 is present
+    //    MMU_TTPage4k (&Image$$TTB$$ZI$$Base, VE_A5_MP_PL310_BASE     ,  1,  Page_L1_4k, (uint32_t *)PRIVATE_TABLE_L2_BASE_4k, Page_4k_Device_RW);
+
+    // Create (256 * 4k)=1MB faulting entries to synchronization space (Useful if some non-cacheable DMA agent is present in the SoC)
+    MMU_TTPage4k (&Image$$TTB$$ZI$$Base, F_SYNC_BASE , 256, Page_L1_4k, (uint32_t *)SYNC_FLAGS_TABLE_L2_BASE_4k, DESCRIPTOR_FAULT);
+    // Define synchronization space entry.
+    MMU_TTPage4k (&Image$$TTB$$ZI$$Base, FLAG_SYNC   ,   1, Page_L1_4k, (uint32_t *)SYNC_FLAGS_TABLE_L2_BASE_4k, Page_4k_Device_RW);
+
+    /* Set location of level 1 page table
+    ; 31:14 - Translation table base addr (31:14-TTBCR.N, TTBCR.N is 0 out of reset)
+    ; 13:7  - 0x0
+    ; 6     - IRGN[0] 0x1  (Inner WB WA)
+    ; 5     - NOS     0x0  (Non-shared)
+    ; 4:3   - RGN     0x01 (Outer WB WA)
+    ; 2     - IMP     0x0  (Implementation Defined)
+    ; 1     - S       0x0  (Non-shared)
+    ; 0     - IRGN[1] 0x0  (Inner WB WA) */
+    __set_TTBR0(((uint32_t)&Image$$TTB$$ZI$$Base) | 0x48);
+    __ISB();
+
+    /* Set up domain access control register
+    ; We set domain 0 to Client and all other domains to No Access.
+    ; All translation table entries specify domain 0 */
+    __set_DACR(1);
+    __ISB();
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/startup_ARMCA5.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/startup_ARMCA5.c
new file mode 100644
index 0000000..19c343b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/startup_ARMCA5.c
@@ -0,0 +1,138 @@
+/******************************************************************************
+ * @file     startup_ARMCA5.c
+ * @brief    CMSIS Device System Source File for Arm Cortex-A5 Device Series
+ * @version  V1.00
+ * @date     10. January 2018
+ *
+ * @note
+ *
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <ARMCA5.h>
+
+/*----------------------------------------------------------------------------
+  Definitions
+ *----------------------------------------------------------------------------*/
+#define USR_MODE 0x10            // User mode
+#define FIQ_MODE 0x11            // Fast Interrupt Request mode
+#define IRQ_MODE 0x12            // Interrupt Request mode
+#define SVC_MODE 0x13            // Supervisor mode
+#define ABT_MODE 0x17            // Abort mode
+#define UND_MODE 0x1B            // Undefined Instruction mode
+#define SYS_MODE 0x1F            // System mode
+
+/*----------------------------------------------------------------------------
+  Internal References
+ *----------------------------------------------------------------------------*/
+void Vectors       (void) __attribute__ ((naked, section("RESET")));
+void Reset_Handler (void) __attribute__ ((naked));
+
+/*----------------------------------------------------------------------------
+  Exception / Interrupt Handler
+ *----------------------------------------------------------------------------*/
+void Undef_Handler (void) __attribute__ ((weak, alias("Default_Handler")));
+void SVC_Handler   (void) __attribute__ ((weak, alias("Default_Handler")));
+void PAbt_Handler  (void) __attribute__ ((weak, alias("Default_Handler")));
+void DAbt_Handler  (void) __attribute__ ((weak, alias("Default_Handler")));
+void IRQ_Handler   (void) __attribute__ ((weak, alias("Default_Handler")));
+void FIQ_Handler   (void) __attribute__ ((weak, alias("Default_Handler")));
+
+/*----------------------------------------------------------------------------
+  Exception / Interrupt Vector Table
+ *----------------------------------------------------------------------------*/
+void Vectors(void) {
+  __ASM volatile(
+  "LDR    PC, =Reset_Handler                        \n"
+  "LDR    PC, =Undef_Handler                        \n"
+  "LDR    PC, =SVC_Handler                          \n"
+  "LDR    PC, =PAbt_Handler                         \n"
+  "LDR    PC, =DAbt_Handler                         \n"
+  "NOP                                              \n"
+  "LDR    PC, =IRQ_Handler                          \n"
+  "LDR    PC, =FIQ_Handler                          \n"
+  );
+}
+
+/*----------------------------------------------------------------------------
+  Reset Handler called on controller reset
+ *----------------------------------------------------------------------------*/
+void Reset_Handler(void) {
+  __ASM volatile(
+
+  // Mask interrupts
+  "CPSID   if                                      \n"
+
+  // Put any cores other than 0 to sleep
+  "MRC     p15, 0, R0, c0, c0, 5                   \n"  // Read MPIDR
+  "ANDS    R0, R0, #3                              \n"
+  "goToSleep:                                      \n"
+  "WFINE                                           \n"
+  "BNE     goToSleep                               \n"
+
+  // Reset SCTLR Settings
+  "MRC     p15, 0, R0, c1, c0, 0                   \n"  // Read CP15 System Control register
+  "BIC     R0, R0, #(0x1 << 12)                    \n"  // Clear I bit 12 to disable I Cache
+  "BIC     R0, R0, #(0x1 <<  2)                    \n"  // Clear C bit  2 to disable D Cache
+  "BIC     R0, R0, #0x1                            \n"  // Clear M bit  0 to disable MMU
+  "BIC     R0, R0, #(0x1 << 11)                    \n"  // Clear Z bit 11 to disable branch prediction
+  "BIC     R0, R0, #(0x1 << 13)                    \n"  // Clear V bit 13 to disable hivecs
+  "MCR     p15, 0, R0, c1, c0, 0                   \n"  // Write value back to CP15 System Control register
+  "ISB                                             \n"
+
+  // Configure ACTLR
+  "MRC     p15, 0, r0, c1, c0, 1                   \n"  // Read CP15 Auxiliary Control Register
+  "ORR     r0, r0, #(1 <<  1)                      \n"  // Enable L2 prefetch hint (UNK/WI since r4p1)
+  "MCR     p15, 0, r0, c1, c0, 1                   \n"  // Write CP15 Auxiliary Control Register
+
+  // Set Vector Base Address Register (VBAR) to point to this application's vector table
+  "LDR    R0, =Vectors                             \n"
+  "MCR    p15, 0, R0, c12, c0, 0                   \n"
+
+  // Setup Stack for each exceptional mode
+  "CPS    #0x11                                    \n"
+  "LDR    SP, =Image$$FIQ_STACK$$ZI$$Limit         \n"
+  "CPS    #0x12                                    \n"
+  "LDR    SP, =Image$$IRQ_STACK$$ZI$$Limit         \n"
+  "CPS    #0x13                                    \n"
+  "LDR    SP, =Image$$SVC_STACK$$ZI$$Limit         \n"
+  "CPS    #0x17                                    \n"
+  "LDR    SP, =Image$$ABT_STACK$$ZI$$Limit         \n"
+  "CPS    #0x1B                                    \n"
+  "LDR    SP, =Image$$UND_STACK$$ZI$$Limit         \n"
+  "CPS    #0x1F                                    \n"
+  "LDR    SP, =Image$$ARM_LIB_STACK$$ZI$$Limit     \n"
+
+  // Call SystemInit
+  "BL     SystemInit                               \n"
+
+  // Unmask interrupts
+  "CPSIE  if                                       \n"
+
+  // Call __main
+  "BL     __main                                   \n"
+  );
+}
+
+/*----------------------------------------------------------------------------
+  Default Handler for Exceptions / Interrupts
+ *----------------------------------------------------------------------------*/
+void Default_Handler(void) {
+  while(1);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/system_ARMCA5.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/system_ARMCA5.c
new file mode 100644
index 0000000..cca3026
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/system_ARMCA5.c
@@ -0,0 +1,93 @@
+/******************************************************************************
+ * @file     system_ARMCA5.c
+ * @brief    CMSIS Device System Source File for Arm Cortex-A5 Device Series
+ * @version  V1.0.1
+ * @date     13. February 2019
+ *
+ * @note
+ *
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2019 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "RTE_Components.h"
+#include CMSIS_device_header
+#include "irq_ctrl.h"
+
+#define  SYSTEM_CLOCK  12000000U
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System Initialization
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+/* do not use global variables because this function is called before
+   reaching pre-main. RW section may be overwritten afterwards.          */
+
+  // Invalidate entire Unified TLB
+  __set_TLBIALL(0);
+
+  // Invalidate entire branch predictor array
+  __set_BPIALL(0);
+  __DSB();
+  __ISB();
+
+  //  Invalidate instruction cache and flush branch target cache
+  __set_ICIALLU(0);
+  __DSB();
+  __ISB();
+
+  //  Invalidate data cache
+  L1C_InvalidateDCacheAll();
+
+#if ((__FPU_PRESENT == 1) && (__FPU_USED == 1))
+  // Enable FPU
+  __FPU_Enable();
+#endif
+
+  // Create Translation Table
+  MMU_CreateTranslationTable();
+
+  // Enable MMU
+  MMU_Enable();
+
+  // Enable Caches
+  L1C_EnableCaches();
+  L1C_EnableBTAC();
+
+#if (__L2C_PRESENT == 1) 
+  // Enable GIC
+  L2C_Enable();
+#endif
+
+  // IRQ Initialize
+  IRQ_Initialize();
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/system_ARMCA5.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/system_ARMCA5.h
new file mode 100644
index 0000000..4b61321
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/Device/ARMCA5/system_ARMCA5.h
@@ -0,0 +1,65 @@
+/******************************************************************************
+ * @file     system_ARMCA5.h
+ * @brief    CMSIS Device System Header File for Arm Cortex-A5 Device Series
+ * @version  V1.00
+ * @date     10. January 2018
+ *
+ * @note
+ *
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef __SYSTEM_ARMCA5_H
+#define __SYSTEM_ARMCA5_H
+
+#ifdef __cplusplus
+extern "C" {
+#endif
+
+#include <stdint.h>
+
+extern uint32_t SystemCoreClock;     /*!< System Clock Frequency (Core Clock)  */
+
+/**
+  \brief Setup the microcontroller system.
+
+   Initialize the System and update the SystemCoreClock variable.
+ */
+extern void SystemInit (void);
+
+
+/**
+  \brief  Update SystemCoreClock variable.
+
+   Updates the SystemCoreClock with current core Clock retrieved from cpu registers.
+ */
+extern void SystemCoreClockUpdate (void);
+
+/**
+  \brief  Create Translation Table.
+
+   Creates Memory Management Unit Translation Table.
+ */
+extern void MMU_CreateTranslationTable(void);
+
+#ifdef __cplusplus
+}
+#endif
+
+#endif /* __SYSTEM_ARMCA5_H */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/RTE_Components.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/RTE_Components.h
new file mode 100644
index 0000000..ca6dcf3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/RTE/RTE_Components.h
@@ -0,0 +1,20 @@
+/*
+ * Auto generated Run-Time-Environment Component Configuration File
+ *      *** Do not modify ! ***
+ *
+ * Project: DspLibTest_FVP_A5
+ * RTE configuration: DspLibTest_FVP_A5.rteconfig
+*/
+#ifndef RTE_COMPONENTS_H
+#define RTE_COMPONENTS_H
+
+/*
+ * Define the Device Header File:
+*/
+#define CMSIS_device_header "ARMCA5.h"
+
+#define RTE_CMSIS_RTOS2                 /* CMSIS-RTOS2 */
+        #define RTE_CMSIS_RTOS2_RTX5            /* CMSIS-RTOS2 Keil RTX5 */
+        #define RTE_CMSIS_RTOS2_RTX5_SOURCE     /* CMSIS-RTOS2 Keil RTX5 Source */
+
+#endif /* RTE_COMPONENTS_H */
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/main.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/main.c
new file mode 100644
index 0000000..a6b31da
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_FVP_A5/main.c
@@ -0,0 +1,34 @@
+/* -------------------------------------------------------------------------- 
+ * Copyright (c) 2013-2017 ARM Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ *
+ *---------------------------------------------------------------------------*/
+
+#include <stdio.h>
+
+#include "jtest.h"
+#include "all_tests.h"
+#include "arm_math.h"
+
+
+int main (void) {
+
+  JTEST_INIT();                 /* Initialize test framework. */
+  JTEST_GROUP_CALL(all_tests);  /* Run all tests. */
+  JTEST_ACT_EXIT_FW();          /* Exit test framework.  */
+
+  while(1);						/* Never return */
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_MPS2/HowTo.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_MPS2/HowTo.txt
new file mode 100644
index 0000000..865ac15
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_MPS2/HowTo.txt
@@ -0,0 +1,29 @@
+
+Used board:
+   MPS2+.
+
+Used BIOS:
+  mbb_v121.ebf         ; use this for ULINKpro
+  mbb_v220.ebf         ; CMSIS-DAP
+
+Used Images:
+  AN382\an382_v3.txt   ; Cortex-M0
+  AN385\an385_v3.txt   ; Cortex-M3
+  AN386\an386_v3.txt   ; Cortex-M4
+  AN500\an500_v1.txt   ; Cortex-M7
+  AN505\an505_v2.txt   ; Cortex-M33 (IoT Kit)
+  AN519\an519_v1.txt   ; Cortex-M23 (IoT Kit)
+
+Used Debugger:
+  IoT Kit:
+    ULINKpro, JTAG, 25MHz, HW Reset
+  other:
+    ULINKpro, JTAG, 25MHz, Autodetect
+
+Memory Settings:
+  IoT Kit:
+    ROM: 0x10000000
+    RAM: 0x38000000    
+  other:
+    ROM: 0x00000000
+    RAM: 0x20000000
+\ No newline at end of file
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MBLl_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MBLl_config.txt
new file mode 100644
index 0000000..00ed7ca
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MBLl_config.txt
@@ -0,0 +1,11 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MMLl_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MMLl_config.txt
new file mode 100644
index 0000000..c6863de
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MMLl_config.txt
@@ -0,0 +1,13 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.FPU=0                                            # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+cpu0.DSP=0                                            # (bool  , init-time) default = '1'      : Set whether the model has the DSP extension
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MMLld_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MMLld_config.txt
new file mode 100644
index 0000000..8c29693
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MMLld_config.txt
@@ -0,0 +1,13 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.FPU=0                                            # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+cpu0.DSP=1                                            # (bool  , init-time) default = '1'      : Set whether the model has the DSP extension
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MMLldfsp_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MMLldfsp_config.txt
new file mode 100644
index 0000000..d9eb125
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MMLldfsp_config.txt
@@ -0,0 +1,13 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.FPU=1                                            # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+cpu0.DSP=1                                            # (bool  , init-time) default = '1'      : Set whether the model has the DSP extension
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MMLlfsp_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MMLlfsp_config.txt
new file mode 100644
index 0000000..bb967fe
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/ARMv8MMLlfsp_config.txt
@@ -0,0 +1,13 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.FPU=1                                            # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+cpu0.DSP=0                                            # (bool  , init-time) default = '1'      : Set whether the model has the DSP extension
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM0l_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM0l_config.txt
new file mode 100644
index 0000000..9f2cb42
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM0l_config.txt
@@ -0,0 +1,8 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm0ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm0ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm0ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm0ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM3l_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM3l_config.txt
new file mode 100644
index 0000000..0a9b07f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM3l_config.txt
@@ -0,0 +1,8 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm3ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm3ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm3ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm3ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM4l_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM4l_config.txt
new file mode 100644
index 0000000..674c929
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM4l_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm4ct.vfp-present=0                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm4ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm4ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm4ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm4ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM4lf_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM4lf_config.txt
new file mode 100644
index 0000000..92c17ff
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM4lf_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm4ct.vfp-present=1                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm4ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm4ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm4ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm4ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM7l_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM7l_config.txt
new file mode 100644
index 0000000..2bc5193
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM7l_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm7ct.vfp-present=0                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm7ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm7ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm7ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm7ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM7lfdp_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM7lfdp_config.txt
new file mode 100644
index 0000000..e7f7596
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM7lfdp_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm7ct.vfp-present=1                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm7ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm7ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm7ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm7ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM7lfsp_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM7lfsp_config.txt
new file mode 100644
index 0000000..e7f7596
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_FVP/cortexM7lfsp_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm7ct.vfp-present=1                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm7ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm7ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm7ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm7ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MBLl_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MBLl_config.txt
new file mode 100644
index 0000000..00ed7ca
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MBLl_config.txt
@@ -0,0 +1,11 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MMLl_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MMLl_config.txt
new file mode 100644
index 0000000..c6863de
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MMLl_config.txt
@@ -0,0 +1,13 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.FPU=0                                            # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+cpu0.DSP=0                                            # (bool  , init-time) default = '1'      : Set whether the model has the DSP extension
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MMLld_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MMLld_config.txt
new file mode 100644
index 0000000..8c29693
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MMLld_config.txt
@@ -0,0 +1,13 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.FPU=0                                            # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+cpu0.DSP=1                                            # (bool  , init-time) default = '1'      : Set whether the model has the DSP extension
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MMLldfsp_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MMLldfsp_config.txt
new file mode 100644
index 0000000..d9eb125
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MMLldfsp_config.txt
@@ -0,0 +1,13 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.FPU=1                                            # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+cpu0.DSP=1                                            # (bool  , init-time) default = '1'      : Set whether the model has the DSP extension
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MMLlfsp_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MMLlfsp_config.txt
new file mode 100644
index 0000000..bb967fe
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/ARMv8MMLlfsp_config.txt
@@ -0,0 +1,13 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+cpu0.FPU=1                                            # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+cpu0.DSP=0                                            # (bool  , init-time) default = '1'      : Set whether the model has the DSP extension
+cpu0.semihosting-enable=0                             # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+cpu0.min_sync_level=0x3                               # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+cpu0.cpi_mul=0x1                                      # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.cpi_div=0x1                                      # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+cpu0.SECEXT=0                                         # (bool  , init-time) default = '1'      : Whether the ARMv8-M Security Extensions are included
+idau.NUM_IDAU_REGION=0x0                              # (int   , init-time) default = '0xA'    : 
+fvp_mps2.DISABLE_GATING=1                             # (bool  , init-time) default = '0'      : Disable Memory gating logic
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM0l_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM0l_config.txt
new file mode 100644
index 0000000..9f2cb42
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM0l_config.txt
@@ -0,0 +1,8 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm0ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm0ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm0ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm0ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM3l_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM3l_config.txt
new file mode 100644
index 0000000..0a9b07f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM3l_config.txt
@@ -0,0 +1,8 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm3ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm3ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm3ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm3ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM4l_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM4l_config.txt
new file mode 100644
index 0000000..674c929
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM4l_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm4ct.vfp-present=0                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm4ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm4ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm4ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm4ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM4lf_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM4lf_config.txt
new file mode 100644
index 0000000..92c17ff
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM4lf_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm4ct.vfp-present=1                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm4ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm4ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm4ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm4ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM7l_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM7l_config.txt
new file mode 100644
index 0000000..2bc5193
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM7l_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm7ct.vfp-present=0                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm7ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm7ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm7ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm7ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM7lfdp_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM7lfdp_config.txt
new file mode 100644
index 0000000..e7f7596
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM7lfdp_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm7ct.vfp-present=1                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm7ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm7ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm7ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm7ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM7lfsp_config.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM7lfsp_config.txt
new file mode 100644
index 0000000..e7f7596
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/DspLibTest_SV_MPS2/cortexM7lfsp_config.txt
@@ -0,0 +1,9 @@
+# Parameters:
+# instance.parameter=value       #(type, mode) default = 'def value' : description : [min..max]
+#----------------------------------------------------------------------------------------------
+armcortexm7ct.vfp-present=1                           # (bool  , init-time) default = '1'      : Set whether the model has VFP support
+armcortexm7ct.semihosting-enable=0                    # (bool  , init-time) default = '1'      : Enable semihosting SVC traps. Applications that do not use semihosting must set this parameter to false.
+armcortexm7ct.min_sync_level=0x3                      # (int   , run-time ) default = '0x0'    : force minimum syncLevel (0=off=default,1=syncState,2=postInsnIO,3=postInsnAll) : [0x0..0x3]
+armcortexm7ct.cpi_mul=0x1                             # (int   , run-time ) default = '0x1'    : multiplier for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+armcortexm7ct.cpi_div=0x1                             # (int   , run-time ) default = '0x1'    : divider for calculating CPI (Cycles Per Instruction) : [0x1..0x7FFFFFFF]
+#----------------------------------------------------------------------------------------------
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/HowTo.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/HowTo.txt
new file mode 100644
index 0000000..b4f61db
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/HowTo.txt
@@ -0,0 +1,137 @@
+HowTo DSP_Lib_TestSuite     18.02.2019
+=======================================
+
+This file describes the folder structure, content, prerequisites and instructions to validate the
+build of the CMSIS-DSP library. This is done by processing input data sets using the DSP Library
+functions executing on a target simulator or hardware. The output data sets are then compared 
+with the reference data set produced by unoptimized DSP functions and a Signal to Noise Ratio (SNR)
+is computed. If the SNR is below a defined threshold the test is considered "passed".
+
+
+Folder structure
+----------------
+	.\DSP_Lib_TestSuite                                       Batch files for building the reference libraries and running the tests.
+	.\DSP_Lib_TestSuite\Common
+	.\DSP_Lib_TestSuite\Common\inc                            DSP_Lib test include files
+	.\DSP_Lib_TestSuite\Common\JTest                          JTEST Test Framework + INI files for uVision
+	.\DSP_Lib_TestSuite\Common\platform                       ARM/GCC device startup/system files
+	.\DSP_Lib_TestSuite\Common\src                            DSP_Lib test source files
+	.\DSP_Lib_TestSuite\DspLibTest_FVP                        ARM/GCC DSP_Lib test projects for Fixed Virtual Platforms
+	.\DSP_Lib_TestSuite\DspLibTest_MPS2                       ARM/GCC DSP_Lib test projects for MPS2
+	.\DSP_Lib_TestSuite\DspLibTest_Simulator                  ARM/GCC DSP_Lib test projects for uVision simulator
+	.\DSP_Lib_TestSuite\RefLibs                               ARM/GCC DSP_Lib reference libraries (and projects)
+
+
+
+Prerequisites
+--------------
+ - Python (running on Windows). Tested with ActivePython 2.7.8.10.
+ - Keil MDK-ARM (tested with MDK-ARM 5.22: http://www2.keil.com/mdk5)
+ - ULINKpro debug adapter (http://www2.keil.com/mdk5/ulink)
+ - MPS2 (Cortex-M Prototyping System:https://www.arm.com/products/tools/development-boards/versatile-express/cortex-m-prototyping-system.php)
+ - CMSIS 5.0.0 (https://github.com/ARM-software/CMSIS_5/releases/tag/5.0.0)
+
+
+Setup
+------
+ - remove 'read-only' tag from folder .\CMSIS\DSP\Lib
+   (required for rebuild of the DSP_Lib libraries)
+
+ - open a Windows command window in folder .\CMSIS\DSP\DSP_Lib_TestSuite.
+
+
+
+How to run the tests
+---------------------
+
+a) build the DSP_Lib libraries:
+ - batch file: buildDspLibs.bat 
+   Note: only require if the DSP_Lib source code got updated or the desired configuration is missing
+   buildDspLibs.bat overwrites the prebuild libraries in .\CMSIS\DSP\Lib.
+   Log files of the build process are generated in folder .\CMSIS\DSP\DSP_Lib/[ARM|GCC]
+ - run:  buildDspLibs.bat in a Windows command window in folder .\CMSIS\DSP\DSP_Lib_TestSuite
+         buildDspLibs ARM        -> builds the ARMCC libraries
+         buildDspLibs GCC        -> builds the GCC libraries
+
+b) build the reference libraries:
+ - batch file: buildRefLibs.bat
+   
+   Log files of the build process are generated in folder .\CMSIS\DSP\DSP_Lib_TestSuite\RefLibs/[ARM|GCC]
+ - run: buildRefLibs.bat in a Windows command window in folder .\CMSIS\DSP\DSP_Lib_TestSuite
+        buildRefLibs ARM        -> builds the ARMCC reference libraries
+        buildRefLibs GCC        -> builds the GCC reference libraries
+
+c) running an individual test using uVision (MDK-ARM):
+ - batch file: runTest.bat
+ - run:  runTest.bat in a Windows command window in folder .\CMSIS\DSP\DSP_Lib_TestSuite
+         runTest                                -> prints usage information
+    e.g. runTest ARM cortexM4lf Simulator       -> runs the test for toolchain ARM, Cortex-M4 littel endian with FPU, uVision Simulator.
+
+   Tests running on MPS2 requires additional steps to setup. See section 'MPS2'.
+
+d) parsing the test output log file
+ - script: parseLog.py 
+ - run:  parseLog.py python script in a Windows command window in folder .\CMSIS\DSP\DSP_Lib_TestSuite
+   command line options should match the invocation of the runTest executed before.
+   e.g: runTest ARM cortexM4lf Simulator  ->  python parseLog.py ARM cortexM4lf Simulator
+   
+ - check the test log
+   depending on your test parameters change into the required folder
+      .\DSP_Lib_TestSuite\DspLibTest_[FVP|MPS2|Simulator]\[ARM|GCC]\Logs
+   the folder will contain the following files (e.g. for a 'runTest') :
+       DspLibTest_Simulator.log                    raw result of the last test run.
+       DspLibTest_Simulator_cortexM4lf.log         raw result of a cortexM4lf test run
+       DspLibTest_Simulator_cortexM4lf_build.log   build result of cortexM4lf test
+       DspLibTest_Simulator_cortexM4lf_parsed.log  parsed log of raw result of a cortexM4lf test run
+       DspLibTest_Simulator_cortexM4lf_time.log    log how long the test took (some tests e.g. M0 take really a long time!).
+   'runTest' produces files of the format:     DspLibTest_<test>_<core>...
+
+
+Differences between the tests for FVP, MPS2, Simulator
+------------------------------------------------------
+ - all tests are identical except for:
+    'Simulator' uses uVision with uVision simulator and generates also code coverage information
+         can be used for little/big endian tests
+         ! do not use 'Simulator' for M7 with FPU      -> no uVision simulation available.
+         ! do not use 'Simulator' for ARMv8-M devices  -> no uVision simulation available.
+    'MPS2' uses uVision with ULINKpro debugger and MPS2. No code coverage information is generated.
+         can be used for little endian only (because of the lack of MPS2 FPGA images).
+    'FVP' uses uVision with Models debugger. No code coverage information is generated.
+         can be used for little/big endian tests.
+         ! config files must be prepared.
+         ! uVision target for big endianess are not yet prepared.
+
+
+Setup 'MPS2'
+-------------
+ - load the appropriate FPGA image to the MPS2 board matching the CPU of the test builds prior to running the test
+ - check if ULINKpro can connect with the configured debug connection (JTAG or SWD) as this must
+   match the protocol implemented in the FPGA image.
+ 
+
+How to select tests for "run all tests"
+----------------------------------------
+ - edit .\CMSIS\DSP\DSP_Lib_TestSuite\Common\src\all_tests.c
+   comment out all unwanted test groups.
+   e.g.  //    JTEST_GROUP_CALL(complex_math_tests);
+
+ - edit .\CMSIS\DSP\DSP_Lib_TestSuite\Common\src\<test group>/<test group>_group.c
+   comment out all unwanted sub test groups.
+   e.g. file .\DSP_Lib_TestSuite\Common\src\basic_math_tests\basic_math_test_group.c ->  //    JTEST_GROUP_CALL(abs_tests);
+
+ - edit .\CMSIS\DSP\DSP_Lib_TestSuite\Common\src\<test group>/<test>_tests.c
+   comment out all unwanted tests.
+   e.g. file .\DSP_Lib_TestSuite\Common\src\basic_math_tests\abs_tests.c  ->  //    JTEST_TEST_CALL(arm_abs_f32_test);
+
+
+Notes
+-----
+ - How to use ARM Clang (ARM Compiler 6):
+   in uVision 'Options for Target' tab you can select which compiler to use
+   by default uVision uses ARMCC V5 for Cortex-M devices and ARMCLANG V6 only for ARMv8M.
+   Only ARMv8M cores have been tested using ARMCLANG
+
+ - test data used for the tests is used as provided by DSP Concepts.
+
+ - some tests run for a very long time before they finish. This is expected
+ 
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/HowTo_SV.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/HowTo_SV.txt
new file mode 100644
index 0000000..41a295c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/HowTo_SV.txt
@@ -0,0 +1,117 @@
+HowTo DSP_Lib_TestSuite  (Source Variant)   18.02.2019
+======================================================
+
+This file describes the folder structure, content, prerequisites and instructions to validate the
+build of the CMSIS-DSP library. This is done by processing input data sets using the DSP Library
+functions executing on a target simulator or hardware. The output data sets are then compared 
+with the reference data set produced by unoptimized DSP functions and a Signal to Noise Ratio (SNR)
+is computed. If the SNR is below a defined threshold the test is considered "passed".
+
+
+Folder structure
+----------------
+	.\DSP_Lib_TestSuite                                       Batch files for building the reference libraries and running the tests.
+	.\DSP_Lib_TestSuite\Common
+	.\DSP_Lib_TestSuite\Common\inc                            DSP_Lib test include files
+	.\DSP_Lib_TestSuite\Common\JTest                          JTEST Test Framework + INI files for uVision
+	.\DSP_Lib_TestSuite\Common\platform                       ARM/GCC device startup/system files
+	.\DSP_Lib_TestSuite\Common\src                            DSP_Lib test source files
+	.\DSP_Lib_TestSuite\DspLibTest_FVP                        ARM/GCC DSP_Lib test projects for Fixed Virtual Platforms
+	.\DSP_Lib_TestSuite\DspLibTest_MPS2                       ARM/GCC DSP_Lib test projects for MPS2
+	.\DSP_Lib_TestSuite\DspLibTest_Simulator                  ARM/GCC DSP_Lib test projects for uVision simulator
+	.\DSP_Lib_TestSuite\RefLibs                               ARM/GCC DSP_Lib reference libraries (and projects)
+
+
+
+Prerequisites
+--------------
+ - Python (running on Windows). Tested with ActivePython 2.7.8.10.
+ - Keil MDK-ARM (tested with MDK-ARM 5.22: http://www2.keil.com/mdk5)
+ - ULINKpro debug adapter (http://www2.keil.com/mdk5/ulink)
+ - MPS2 (Cortex-M Prototyping System:https://www.arm.com/products/tools/development-boards/versatile-express/cortex-m-prototyping-system.php)
+ - CMSIS 5.0.0 (https://github.com/ARM-software/CMSIS_5/releases/tag/5.0.0)
+
+
+Setup
+------
+ - open a Windows command window in folder .\CMSIS\DSP\DSP_Lib_TestSuite.
+
+
+
+How to run the tests
+---------------------
+
+a) running an individual test using uVision (MDK-ARM):
+ - batch file: runTest_SV.bat
+ - run:  runTest_SV.bat in a Windows command window in folder .\CMSIS\DSP\DSP_Lib_TestSuite
+         runTest_SV                                -> prints usage information
+    e.g. runTest_SV ARM cortexM4lf Simulator       -> runs the test for toolchain ARM, Cortex-M4 littel endian with FPU, uVision Simulator.
+
+   Tests running on MPS2 requires additional steps to setup. See section 'MPS2'.
+
+d) parsing the test output log file
+ - script: parseLog_SV.py 
+ - run:  parseLog_SV.py python script in a Windows command window in folder .\CMSIS\DSP\DSP_Lib_TestSuite
+   command line options should match the invocation of the runTest executed before.
+   e.g: runTest ARM cortexM4lf Simulator  ->  python parseLog.py ARM cortexM4lf Simulator
+   
+ - check the test log
+   depending on your test parameters change into the required folder
+      .\DSP_Lib_TestSuite\DspLibTest_[FVP|MPS2|Simulator]\[ARM|GCC]\Logs
+   the folder will contain the following files (e.g. for a 'runTest') :
+       DspLibTest_Simulator.log                    raw result of the last test run.
+       DspLibTest_Simulator_cortexM4lf.log         raw result of a cortexM4lf test run
+       DspLibTest_Simulator_cortexM4lf_build.log   build result of cortexM4lf test
+       DspLibTest_Simulator_cortexM4lf_parsed.log  parsed log of raw result of a cortexM4lf test run
+       DspLibTest_Simulator_cortexM4lf_time.log    log how long the test took (some tests e.g. M0 take really a long time!).
+   'runTest' produces files of the format:     DspLibTest_<test>_<core>...
+
+
+Differences between the tests for FVP, MPS2, Simulator
+------------------------------------------------------
+ - all tests are identical except for:
+    'Simulator' uses uVision with uVision simulator and generates also code coverage information
+         can be used for little/big endian tests
+         ! do not use 'Simulator' for M7 with FPU      -> no uVision simulation available.
+         ! do not use 'Simulator' for ARMv8-M devices  -> no uVision simulation available.
+    'MPS2' uses uVision with ULINKpro debugger and MPS2. No code coverage information is generated.
+         can be used for little endian only (because of the lack of MPS2 FPGA images).
+    'FVP' uses uVision with Models debugger. No code coverage information is generated.
+         can be used for little/big endian tests.
+         ! config files must be prepared.
+         ! uVision target for big endianess are not yet prepared.
+
+
+Setup 'MPS2'
+-------------
+ - load the appropriate FPGA image to the MPS2 board matching the CPU of the test builds prior to running the test
+ - check if ULINKpro can connect with the configured debug connection (JTAG or SWD) as this must
+   match the protocol implemented in the FPGA image.
+ 
+
+How to select tests for "run all tests"
+----------------------------------------
+ - edit .\CMSIS\DSP\DSP_Lib_TestSuite\Common\src\all_tests.c
+   comment out all unwanted test groups.
+   e.g.  //    JTEST_GROUP_CALL(complex_math_tests);
+
+ - edit .\CMSIS\DSP\DSP_Lib_TestSuite\Common\src\<test group>/<test group>_group.c
+   comment out all unwanted sub test groups.
+   e.g. file .\DSP_Lib_TestSuite\Common\src\basic_math_tests\basic_math_test_group.c ->  //    JTEST_GROUP_CALL(abs_tests);
+
+ - edit .\CMSIS\DSP\DSP_Lib_TestSuite\Common\src\<test group>/<test>_tests.c
+   comment out all unwanted tests.
+   e.g. file .\DSP_Lib_TestSuite\Common\src\basic_math_tests\abs_tests.c  ->  //    JTEST_TEST_CALL(arm_abs_f32_test);
+
+
+Notes
+-----
+ - How to use ARM Clang (ARM Compiler 6):
+   in uVision 'Options for Target' tab you can select which compiler to use
+   by default uVision uses ARMCC V5 for Cortex-M devices and ARMCLANG V6 only for ARMv8M.
+   Only ARMv8M cores have been tested using ARMCLANG
+
+ - test data used for the tests is used as provided by DSP Concepts.
+
+ - some tests run for a very long time before they finish. This is expected
+ 
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/CMakeLists.txt b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/CMakeLists.txt
new file mode 100644
index 0000000..fd42f1e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/CMakeLists.txt
@@ -0,0 +1,78 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(DspRefLibs)
+
+# Needed to find the config modules
+list(APPEND CMAKE_MODULE_PATH ${CMAKE_CURRENT_SOURCE_DIR}/../..)
+
+
+
+
+set(REFSRC src/BasicMathFunctions/abs.c
+  src/BasicMathFunctions/add.c
+  src/BasicMathFunctions/dot_prod.c
+  src/BasicMathFunctions/mult.c
+  src/BasicMathFunctions/negate.c
+  src/BasicMathFunctions/offset.c
+  src/BasicMathFunctions/scale.c
+  src/BasicMathFunctions/shift.c
+  src/BasicMathFunctions/sub.c
+  src/ComplexMathFunctions/cmplx_conj.c
+  src/ComplexMathFunctions/cmplx_dot_prod.c
+  src/ComplexMathFunctions/cmplx_mag.c
+  src/ComplexMathFunctions/cmplx_mag_squared.c
+  src/ComplexMathFunctions/cmplx_mult_cmplx.c
+  src/ComplexMathFunctions/cmplx_mult_real.c
+  src/ControllerFunctions/pid.c
+  src/ControllerFunctions/sin_cos.c
+  src/FastMathFunctions/cos.c
+  src/FastMathFunctions/sin.c
+  src/FastMathFunctions/sqrt.c
+  src/FilteringFunctions/biquad.c
+  src/FilteringFunctions/conv.c
+  src/FilteringFunctions/correlate.c
+  src/FilteringFunctions/fir.c
+  src/FilteringFunctions/fir_decimate.c
+  src/FilteringFunctions/fir_interpolate.c
+  src/FilteringFunctions/fir_lattice.c
+  src/FilteringFunctions/fir_sparse.c
+  src/FilteringFunctions/iir_lattice.c
+  src/FilteringFunctions/lms.c
+  src/HelperFunctions/mat_helper.c
+  src/HelperFunctions/ref_helper.c
+  src/Intrinsics/intrinsics.c
+  src/MatrixFunctions/mat_add.c
+  src/MatrixFunctions/mat_cmplx_mult.c
+  src/MatrixFunctions/mat_inverse.c
+  src/MatrixFunctions/mat_mult.c
+  src/MatrixFunctions/mat_scale.c
+  src/MatrixFunctions/mat_sub.c
+  src/MatrixFunctions/mat_trans.c
+  src/StatisticsFunctions/max.c
+  src/StatisticsFunctions/mean.c
+  src/StatisticsFunctions/min.c
+  src/StatisticsFunctions/power.c
+  src/StatisticsFunctions/rms.c
+  src/StatisticsFunctions/std.c
+  src/StatisticsFunctions/var.c
+  src/SupportFunctions/copy.c
+  src/SupportFunctions/fill.c
+  src/SupportFunctions/fixed_to_fixed.c
+  src/SupportFunctions/fixed_to_float.c
+  src/SupportFunctions/float_to_fixed.c
+  src/TransformFunctions/bitreversal.c
+  src/TransformFunctions/cfft.c
+  src/TransformFunctions/dct4.c
+  src/TransformFunctions/rfft.c
+  )
+
+add_library(DspRefLibs STATIC ${REFSRC})
+
+include(config)
+configdsp(DspRefLibs ../../Source)
+
+### Includes
+target_include_directories(DspRefLibs PUBLIC "inc")
+target_include_directories(DspRefLibs PUBLIC "../../Include")
+
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/inc/ref.h b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/inc/ref.h
new file mode 100644
index 0000000..04f9b3b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/inc/ref.h
@@ -0,0 +1,1401 @@
+
+#ifndef _REF_H
+#define _REF_H
+
+#include <math.h>
+#include <stdint.h>
+#include "arm_math.h"
+
+#ifdef	__cplusplus
+extern "C"
+{
+#endif
+
+#ifndef PI
+#define PI					3.14159265358979f
+#endif
+
+  /**
+   * @brief 8-bit fractional data type in 1.7 format.
+   */
+//  typedef int8_t q7_t;
+
+  /**
+   * @brief 16-bit fractional data type in 1.15 format.
+   */
+//  typedef int16_t q15_t;
+
+  /**
+   * @brief 32-bit fractional data type in 1.31 format.
+   */
+//  typedef int32_t q31_t;
+
+  /**
+   * @brief 64-bit fractional data type in 1.63 format.
+   */
+//  typedef int64_t q63_t;
+
+  /**
+   * @brief 32-bit floating-point type definition.
+   */
+//  typedef float float32_t;
+
+  /**
+   * @brief 64-bit floating-point type definition.
+   */
+//  typedef double float64_t;
+
+
+  /**
+   * @brief Error status returned by some functions in the library.
+   */
+
+  typedef enum
+  {
+    REF_Q7 = 0,
+    REF_Q15,
+    REF_Q31,
+    REF_F32,
+  } dataType;
+
+
+#ifndef FLT_MAX
+#define FLT_MAX  3.40282347e+38F
+#endif 
+
+#define DBL_MAX  1.79769313486231571e+308
+
+#ifndef FLT_MIN
+#define FLT_MIN  1.175494351e-38F
+#endif
+#define DBL_MIN  2.22507385850720138e-308
+
+#define SCHAR_MIN (-128)
+    /* mimimum value for an object of type signed char */
+#define SCHAR_MAX 127
+    /* maximum value for an object of type signed char */
+#define UCHAR_MAX 255
+    /* maximum value for an object of type unsigned char */
+#define SHRT_MIN  (-0x8000)
+    /* minimum value for an object of type short int */
+#define SHRT_MAX  0x7fff
+    /* maximum value for an object of type short int */
+#define USHRT_MAX 65535
+    /* maximum value for an object of type unsigned short int */
+#define INT_MIN   (~0x7fffffff)  /* -2147483648 and 0x80000000 are unsigned */
+    /* minimum value for an object of type int */
+#define INT_MAX   0x7fffffff
+    /* maximum value for an object of type int */
+#define UINT_MAX  0xffffffffU
+    /* maximum value for an object of type unsigned int */
+#define LONG_MIN  (~0x7fffffffL)
+    /* minimum value for an object of type long int */
+#define LONG_MAX  0x7fffffffL
+    /* maximum value for an object of type long int */
+#define ULONG_MAX 0xffffffffUL
+    /* maximum value for an object of type unsigned long int */
+
+	/*
+	 * Ref Lib Global Variables
+	 */
+extern float32_t scratchArray[];
+extern arm_cfft_instance_f32 ref_cfft_sR_f32_len8192;
+
+	/*
+	 * Ref Lib Functions
+	 */
+
+	/*
+	 * Helper Functions
+	 */
+q31_t ref_sat_n(q31_t num, uint32_t bits);
+
+q31_t ref_sat_q31(q63_t num);
+
+q15_t ref_sat_q15(q31_t num);
+
+q7_t ref_sat_q7(q15_t num);
+
+float32_t ref_pow(float32_t a, uint32_t b);
+
+extern float32_t tempMatrixArray[];
+
+float32_t ref_detrm(float32_t *pSrc, float32_t *temp, uint32_t size);
+
+void ref_cofact(float32_t *pSrc, float32_t *pDst, float32_t *temp, uint32_t size);
+
+float64_t ref_detrm64(float64_t *pSrc, float64_t *temp, uint32_t size);
+
+void ref_cofact64(float64_t *pSrc, float64_t *pDst, float64_t *temp, uint32_t size);
+
+	/*
+	 * Basic Math Functions
+	 */
+void ref_abs_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_abs_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_abs_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_abs_q7(
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+void ref_add_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_add_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_add_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_add_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+void ref_dot_prod_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  uint32_t blockSize,
+  float32_t * result);
+
+void ref_dot_prod_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  uint32_t blockSize,
+  q63_t * result);
+
+void ref_dot_prod_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  uint32_t blockSize,
+  q63_t * result);
+
+void ref_dot_prod_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  uint32_t blockSize,
+  q31_t * result);
+
+void ref_mult_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_mult_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_mult_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_mult_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+void ref_negate_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_negate_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_negate_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_negate_q7(
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+void ref_offset_f32(
+  float32_t * pSrc,
+  float32_t offset,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_offset_q31(
+  q31_t * pSrc,
+  q31_t offset,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_offset_q15(
+  q15_t * pSrc,
+  q15_t offset,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_offset_q7(
+  q7_t * pSrc,
+  q7_t offset,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+void ref_scale_f32(
+  float32_t * pSrc,
+  float32_t scale,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_scale_q31(
+  q31_t * pSrc,
+  q31_t scaleFract,
+  int8_t shift,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_scale_q15(
+  q15_t * pSrc,
+  q15_t scaleFract,
+  int8_t shift,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_scale_q7(
+  q7_t * pSrc,
+  q7_t scaleFract,
+  int8_t shift,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+void ref_shift_q31(
+  q31_t * pSrc,
+  int8_t shiftBits,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_shift_q15(
+  q15_t * pSrc,
+  int8_t shiftBits,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_shift_q7(
+  q7_t * pSrc,
+  int8_t shiftBits,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+void ref_sub_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_sub_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_sub_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_sub_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+	/*
+	 * Complex Math Functions
+	 */
+void ref_cmplx_conj_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples);
+
+void ref_cmplx_conj_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples);
+
+void ref_cmplx_conj_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples);
+
+void ref_cmplx_dot_prod_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  uint32_t numSamples,
+  float32_t * realResult,
+  float32_t * imagResult);
+
+void ref_cmplx_dot_prod_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  uint32_t numSamples,
+  q63_t * realResult,
+  q63_t * imagResult);
+
+void ref_cmplx_dot_prod_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  uint32_t numSamples,
+  q31_t * realResult,
+  q31_t * imagResult);
+
+void ref_cmplx_mag_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples);
+
+void ref_cmplx_mag_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples);
+
+void ref_cmplx_mag_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples);
+
+void ref_cmplx_mag_squared_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples);
+
+void ref_cmplx_mag_squared_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples);
+
+void ref_cmplx_mag_squared_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples);
+
+void ref_cmplx_mult_cmplx_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t numSamples);
+
+void ref_cmplx_mult_cmplx_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t numSamples);
+
+void ref_cmplx_mult_cmplx_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t numSamples);
+
+void ref_cmplx_mult_real_f32(
+  float32_t * pSrcCmplx,
+  float32_t * pSrcReal,
+  float32_t * pCmplxDst,
+  uint32_t numSamples);
+
+void ref_cmplx_mult_real_q31(
+  q31_t * pSrcCmplx,
+  q31_t * pSrcReal,
+  q31_t * pCmplxDst,
+  uint32_t numSamples);
+
+void ref_cmplx_mult_real_q15(
+  q15_t * pSrcCmplx,
+  q15_t * pSrcReal,
+  q15_t * pCmplxDst,
+  uint32_t numSamples);
+
+	/*
+	 * Controller Functions
+	 */
+void ref_sin_cos_f32(
+  float32_t theta,
+  float32_t * pSinVal,
+  float32_t * pCosVal);
+
+void ref_sin_cos_q31(
+  q31_t theta,
+  q31_t * pSinVal,
+  q31_t * pCosVal);
+
+float32_t ref_pid_f32(
+	arm_pid_instance_f32 * S,
+	float32_t in);
+
+q31_t ref_pid_q31(
+	arm_pid_instance_q31 * S,
+	q31_t in);
+
+q15_t ref_pid_q15(
+	arm_pid_instance_q15 * S,
+	q15_t in);
+
+	/*
+	 * Fast Math Functions
+	 */
+#define ref_sin_f32(a) sinf(a)
+
+q31_t ref_sin_q31(q31_t x);
+
+q15_t ref_sin_q15(q15_t x);
+
+#define ref_cos_f32(a) cosf(a)
+
+q31_t ref_cos_q31(q31_t x);
+
+q15_t ref_cos_q15(q15_t x);
+
+arm_status ref_sqrt_q31(q31_t in, q31_t * pOut);
+
+arm_status ref_sqrt_q15(q15_t in, q15_t * pOut);
+
+	/*
+	 * Filtering Functions
+	 */
+void ref_biquad_cascade_df2T_f32(
+	const arm_biquad_cascade_df2T_instance_f32 * S,
+	float32_t * pSrc,
+	float32_t * pDst,
+	uint32_t blockSize);
+	
+void ref_biquad_cascade_stereo_df2T_f32(
+	const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+	float32_t * pSrc,
+	float32_t * pDst,
+	uint32_t blockSize);
+	
+void ref_biquad_cascade_df2T_f64(
+	const arm_biquad_cascade_df2T_instance_f64 * S,
+	float64_t * pSrc,
+	float64_t * pDst,
+	uint32_t blockSize);
+
+void ref_biquad_cascade_df1_f32(
+  const arm_biquad_casd_df1_inst_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+  
+void ref_biquad_cas_df1_32x64_q31(
+  const arm_biquad_cas_df1_32x64_ins_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_biquad_cascade_df1_q31(
+  const arm_biquad_casd_df1_inst_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_biquad_cascade_df1_fast_q31(
+  const arm_biquad_casd_df1_inst_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_biquad_cascade_df1_fast_q15(
+  const arm_biquad_casd_df1_inst_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_biquad_cascade_df1_q15(
+  const arm_biquad_casd_df1_inst_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_conv_f32(
+  float32_t * pSrcA,
+  uint32_t 		srcALen,
+  float32_t * pSrcB,
+  uint32_t 		srcBLen,
+  float32_t * pDst);
+
+arm_status ref_conv_partial_f32(
+  float32_t * pSrcA,
+  uint32_t srcALen,
+  float32_t * pSrcB,
+  uint32_t srcBLen,
+  float32_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
+
+void ref_conv_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst);
+
+void ref_conv_fast_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst);
+
+arm_status ref_conv_partial_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
+
+arm_status ref_conv_partial_fast_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
+
+void ref_conv_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst);
+
+#define ref_conv_opt_q15(pSrcA, srcALen, pSrcB, srcBLen, pDst,  \
+                         pScratch1, pScratch2)                  \
+    ref_conv_q15(pSrcA, srcALen, pSrcB, srcBLen, pDst)
+
+void ref_conv_fast_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst);
+  
+void ref_conv_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  q15_t * pScratch1,
+  q15_t * pScratch2);
+
+arm_status ref_conv_partial_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
+
+#define ref_conv_partial_opt_q15(pSrcA, srcALen, pSrcB, srcBLen, pDst,  \
+                                 firstIndex, numPoints,                 \
+                                 pScratch1, pScratch2)                  \
+    ref_conv_partial_q15(pSrcA, srcALen, pSrcB, srcBLen, pDst,          \
+                         firstIndex, numPoints)
+
+arm_status ref_conv_partial_fast_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
+  
+arm_status ref_conv_partial_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints,
+  q15_t * pScratch1,
+  q15_t * pScratch2);
+
+void ref_conv_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst);
+
+#define ref_conv_opt_q7(pSrcA, srcALen, pSrcB, srcBLen, pDst,   \
+                        pScratch1, pScratch2)                   \
+    ref_conv_q7(pSrcA, srcALen, pSrcB, srcBLen, pDst)
+
+arm_status ref_conv_partial_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints);
+
+#define ref_conv_partial_opt_q7(pSrcA, srcALen, pSrcB, srcBLen, pDst,   \
+                                firstIndex, numPoints,                  \
+                                pScratch1, pScratch2)                   \
+    ref_conv_partial_q7(pSrcA, srcALen, pSrcB, srcBLen, pDst,           \
+                        firstIndex, numPoints)
+
+void ref_correlate_f32(
+  float32_t * pSrcA,
+  uint32_t srcALen,
+  float32_t * pSrcB,
+  uint32_t srcBLen,
+  float32_t * pDst);
+
+void ref_correlate_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst);
+
+void ref_correlate_fast_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst);
+
+void ref_correlate_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst);
+
+#define ref_correlate_opt_q15(pSrcA, srcALen, pSrcB, srcBLen, pDst,  \
+                         pScratch1)                                  \
+    ref_correlate_q15(pSrcA, srcALen, pSrcB, srcBLen, pDst)
+
+void ref_correlate_fast_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst);
+
+void ref_correlate_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  q15_t * pScratch);
+    
+void ref_correlate_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst);
+
+#define ref_correlate_opt_q7(pSrcA, srcALen, pSrcB, srcBLen, pDst,   \
+                        pScratch1, pScratch2)                        \
+    ref_correlate_q7(pSrcA, srcALen, pSrcB, srcBLen, pDst)
+
+void ref_fir_f32(
+	const arm_fir_instance_f32 * S,
+	float32_t * pSrc,
+	float32_t * pDst,
+	uint32_t blockSize);
+
+void ref_fir_q31(
+  const arm_fir_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_fast_q31(
+  const arm_fir_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_q15(
+  const arm_fir_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_fast_q15(
+  const arm_fir_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_q7(
+  const arm_fir_instance_q7 * S,
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_decimate_f32(
+  const arm_fir_decimate_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_decimate_q31(
+  const arm_fir_decimate_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_decimate_fast_q31(
+  const arm_fir_decimate_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_decimate_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_decimate_fast_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_lattice_f32(
+  const arm_fir_lattice_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_lattice_q31(
+  const arm_fir_lattice_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_lattice_q15(
+  const arm_fir_lattice_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_sparse_f32(
+  arm_fir_sparse_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  float32_t * pScratchIn,
+  uint32_t blockSize);
+
+void ref_fir_sparse_q31(
+  arm_fir_sparse_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  q31_t * pScratchIn,
+  uint32_t blockSize);
+
+void ref_fir_sparse_q15(
+  arm_fir_sparse_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  q15_t * pScratchIn,
+  q31_t * pScratchOut,
+  uint32_t blockSize);
+
+void ref_fir_sparse_q7(
+  arm_fir_sparse_instance_q7 * S,
+  q7_t *pSrc,
+  q7_t *pDst,
+  q7_t *pScratchIn,
+  q31_t * pScratchOut,
+  uint32_t blockSize);
+
+void ref_iir_lattice_f32(
+  const arm_iir_lattice_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_iir_lattice_q31(
+  const arm_iir_lattice_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_iir_lattice_q15(
+  const arm_iir_lattice_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_lms_f32(
+  const arm_lms_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pRef,
+  float32_t * pOut,
+  float32_t * pErr,
+  uint32_t blockSize);
+
+void ref_lms_norm_f32(
+  arm_lms_norm_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pRef,
+  float32_t * pOut,
+  float32_t * pErr,
+  uint32_t blockSize);
+
+void ref_lms_q31(
+  const arm_lms_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pRef,
+  q31_t * pOut,
+  q31_t * pErr,
+  uint32_t blockSize);
+
+void ref_lms_norm_q31(
+  arm_lms_norm_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pRef,
+  q31_t * pOut,
+  q31_t * pErr,
+  uint32_t blockSize);
+
+void ref_lms_q15(
+  const arm_lms_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pRef,
+  q15_t * pOut,
+  q15_t * pErr,
+  uint32_t blockSize);
+
+void ref_lms_norm_q15(
+  arm_lms_norm_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pRef,
+  q15_t * pOut,
+  q15_t * pErr,
+  uint32_t blockSize);
+
+void ref_fir_interpolate_f32(
+  const arm_fir_interpolate_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_interpolate_q31(
+  const arm_fir_interpolate_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_fir_interpolate_q15(
+  const arm_fir_interpolate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+	/*
+	 * Matrix Functions
+	 */
+arm_status ref_mat_cmplx_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst);
+
+arm_status ref_mat_cmplx_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst);
+
+arm_status ref_mat_cmplx_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst);
+
+arm_status ref_mat_inverse_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  arm_matrix_instance_f32 * pDst);
+
+arm_status ref_mat_inverse_f64(
+  const arm_matrix_instance_f64 * pSrc,
+  arm_matrix_instance_f64 * pDst);
+
+arm_status ref_mat_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst);
+
+arm_status ref_mat_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst);
+
+/* Alias for testing purposes*/
+#define ref_mat_mult_fast_q31 ref_mat_mult_q31
+
+arm_status ref_mat_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst);
+
+/* Alias for testing purposes*/
+#define ref_mat_mult_fast_q15 ref_mat_mult_q15
+
+arm_status ref_mat_scale_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  float32_t scale,
+  arm_matrix_instance_f32 * pDst);
+
+arm_status ref_mat_scale_q31(
+  const arm_matrix_instance_q31 * pSrc,
+  q31_t scale,
+  int32_t shift,
+  arm_matrix_instance_q31 * pDst);
+
+arm_status ref_mat_scale_q15(
+  const arm_matrix_instance_q15 * pSrc,
+  q15_t scale,
+  int32_t shift,
+  arm_matrix_instance_q15 * pDst);
+
+arm_status ref_mat_sub_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst);
+
+arm_status ref_mat_sub_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst);
+
+arm_status ref_mat_sub_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst);
+
+arm_status ref_mat_trans_f64(
+  const arm_matrix_instance_f64 * pSrc,
+  arm_matrix_instance_f64 * pDst);
+
+arm_status ref_mat_trans_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  arm_matrix_instance_f32 * pDst);
+
+arm_status ref_mat_trans_q31(
+  const arm_matrix_instance_q31 * pSrc,
+  arm_matrix_instance_q31 * pDst);
+
+arm_status ref_mat_trans_q15(
+  const arm_matrix_instance_q15 * pSrc,
+  arm_matrix_instance_q15 * pDst);
+
+arm_status ref_mat_add_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst);
+
+arm_status ref_mat_add_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst);
+
+arm_status ref_mat_add_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst);
+
+	/*
+	 * Statistics Functions
+	 */
+void ref_max_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult,
+  uint32_t * pIndex);
+
+void ref_max_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult,
+  uint32_t * pIndex);
+
+void ref_max_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult,
+  uint32_t * pIndex);
+
+void ref_max_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q7_t * pResult,
+  uint32_t * pIndex);
+
+void ref_mean_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult);
+
+void ref_mean_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult);
+
+void ref_mean_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult);
+
+void ref_mean_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q7_t * pResult);
+
+void ref_min_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult,
+  uint32_t * pIndex);
+
+void ref_min_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult,
+  uint32_t * pIndex);
+
+void ref_min_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult,
+  uint32_t * pIndex);
+
+void ref_min_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q7_t * pResult,
+  uint32_t * pIndex);
+
+void ref_power_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult);
+
+void ref_power_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q63_t * pResult);
+
+void ref_power_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q63_t * pResult);
+
+void ref_power_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult);
+
+void ref_rms_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult);
+
+void ref_rms_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult);
+
+void ref_rms_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult);
+
+void ref_std_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult);
+
+void ref_std_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult);
+
+void ref_std_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult);
+
+void ref_var_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult);
+
+void ref_var_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult);
+
+void ref_var_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult);
+
+	/*
+	 * Support Functions
+	 */
+void ref_copy_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_copy_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_copy_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_copy_q7(
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+void ref_fill_f32(
+  float32_t value,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_fill_q31(
+  q31_t value,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_fill_q15(
+  q15_t value,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_fill_q7(
+  q7_t value,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+void ref_q31_to_q15(
+  q31_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_q31_to_q7(
+  q31_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+void ref_q15_to_q31(
+  q15_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_q15_to_q7(
+  q15_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+void ref_q7_to_q31(
+  q7_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_q7_to_q15(
+  q7_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_q63_to_float(
+  q63_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_q31_to_float(
+  q31_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_q15_to_float(
+  q15_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_q7_to_float(
+  q7_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize);
+
+void ref_float_to_q31(
+  float32_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize);
+
+void ref_float_to_q15(
+  float32_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize);
+
+void ref_float_to_q7(
+  float32_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize);
+
+	/*
+	 * Transform Functions
+	 */
+void ref_cfft_f32(
+   const arm_cfft_instance_f32 * S,
+   float32_t * p1,
+   uint8_t ifftFlag,
+   uint8_t bitReverseFlag);
+	 
+void ref_cfft_q31(
+	const arm_cfft_instance_q31 * S,
+    q31_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag);
+	 
+void ref_cfft_q15(
+	const arm_cfft_instance_q15 * S,
+    q15_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag);
+
+void ref_cfft_radix2_f32(
+	const arm_cfft_radix2_instance_f32 * S,
+	float32_t * pSrc);
+
+void ref_cfft_radix2_q31(
+	const arm_cfft_radix2_instance_q31 * S,
+	q31_t * pSrc);
+
+void ref_cfft_radix2_q15(
+	const arm_cfft_radix2_instance_q15 * S,
+	q15_t * pSrc);
+
+void ref_cfft_radix4_f32(
+	const arm_cfft_radix4_instance_f32 * S,
+	float32_t * pSrc);
+
+void ref_cfft_radix4_q31(
+	const arm_cfft_radix4_instance_q31 * S,
+	q31_t * pSrc);
+
+void ref_cfft_radix4_q15(
+	const arm_cfft_radix4_instance_q15 * S,
+	q15_t * pSrc);
+
+void ref_rfft_f32(
+	arm_rfft_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst);
+
+void ref_rfft_fast_f32(
+	arm_rfft_fast_instance_f32 * S,
+	float32_t * p, float32_t * pOut,
+	uint8_t ifftFlag);
+
+void ref_rfft_q31(
+  const arm_rfft_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst);
+
+void ref_rfft_q15(
+  const arm_rfft_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst);
+
+void ref_dct4_f32(
+  const arm_dct4_instance_f32 * S,
+  float32_t * pState,
+  float32_t * pInlineBuffer);
+
+void ref_dct4_q31(
+  const arm_dct4_instance_q31 * S,
+  q31_t * pState,
+  q31_t * pInlineBuffer);
+
+void ref_dct4_q15(
+  const arm_dct4_instance_q15 * S,
+  q15_t * pState,
+  q15_t * pInlineBuffer);
+
+	/*
+	 * Intrinsics
+	 */
+q31_t ref__QADD8(q31_t x, q31_t y);
+q31_t ref__QSUB8(q31_t x, q31_t y);
+q31_t ref__QADD16(q31_t x, q31_t y);
+q31_t ref__SHADD16(q31_t x, q31_t y);
+q31_t ref__QSUB16(q31_t x, q31_t y);
+q31_t ref__SHSUB16(q31_t x, q31_t y);
+q31_t ref__QASX(q31_t x, q31_t y);
+q31_t ref__SHASX(q31_t x, q31_t y);
+q31_t ref__QSAX(q31_t x, q31_t y);
+q31_t ref__SHSAX(q31_t x, q31_t y);
+q31_t ref__SMUSDX(q31_t x, q31_t y);
+q31_t ref__SMUADX(q31_t x, q31_t y);
+q31_t ref__QADD(q31_t x, q31_t y);
+q31_t ref__QSUB(q31_t x, q31_t y);
+q31_t ref__SMLAD(q31_t x, q31_t y, q31_t sum);
+q31_t ref__SMLADX(q31_t x, q31_t y, q31_t sum);
+q31_t ref__SMLSDX(q31_t x, q31_t y, q31_t sum);
+q63_t ref__SMLALD(q31_t x, q31_t y, q63_t sum);
+q63_t ref__SMLALDX(q31_t x, q31_t y, q63_t sum);
+q31_t ref__SMUAD(q31_t x, q31_t y);
+q31_t ref__SMUSD(q31_t x, q31_t y);
+q31_t ref__SXTB16(q31_t x);
+
+#ifdef	__cplusplus
+}
+#endif
+
+#endif
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/BasicMathFunctions.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/BasicMathFunctions.c
new file mode 100644
index 0000000..2bb5d8b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/BasicMathFunctions.c
@@ -0,0 +1,11 @@
+
+#include "abs.c"
+#include "add.c"
+#include "dot_prod.c"
+#include "mult.c"
+#include "negate.c"
+#include "offset.c"
+#include "scale.c"
+#include "shift.c"
+#include "sub.c"
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/abs.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/abs.c
new file mode 100644
index 0000000..baca23f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/abs.c
@@ -0,0 +1,53 @@
+#include "ref.h"
+
+void ref_abs_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i] < 0 ? -pSrc[i] : pSrc[i];
+	}
+}
+
+void ref_abs_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i] < 0 ? -pSrc[i] : pSrc[i];
+	}
+}
+
+void ref_abs_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i] < 0 ? -pSrc[i] : pSrc[i];
+	}
+}
+
+void ref_abs_q7(
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i] < 0 ? -pSrc[i] : pSrc[i];
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/add.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/add.c
new file mode 100644
index 0000000..489c8a0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/add.c
@@ -0,0 +1,57 @@
+#include "ref.h"
+
+void ref_add_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrcA[i] + pSrcB[i];
+	}
+}
+
+void ref_add_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ref_sat_q31( (q63_t)pSrcA[i] + pSrcB[i] );
+	}
+}
+
+void ref_add_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ref_sat_q15( (q31_t)pSrcA[i] + pSrcB[i] );
+	}
+}
+
+void ref_add_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ref_sat_q7( (q15_t)pSrcA[i] + pSrcB[i] );
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/dot_prod.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/dot_prod.c
new file mode 100644
index 0000000..08f6178
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/dot_prod.c
@@ -0,0 +1,65 @@
+#include "ref.h"
+
+void ref_dot_prod_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  uint32_t blockSize,
+  float32_t * result)
+{
+	uint32_t i;
+  float32_t sum = 0.0f;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		sum += pSrcA[i] * pSrcB[i];
+	}
+  *result = sum;
+}
+
+void ref_dot_prod_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  uint32_t blockSize,
+  q63_t * result)
+{
+	uint32_t i;
+  q63_t sum = 0.0f;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		sum += ((q63_t)pSrcA[i] * pSrcB[i]) >> 14; //16.48
+	}
+  *result = sum;
+}
+
+void ref_dot_prod_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  uint32_t blockSize,
+  q63_t * result)
+{
+	uint32_t i;
+  q63_t sum = 0.0f;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		sum += (q31_t)pSrcA[i] * pSrcB[i]; //34.30
+	}
+  *result = sum;
+}
+
+void ref_dot_prod_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  uint32_t blockSize,
+  q31_t * result)
+{
+	uint32_t i;
+  q31_t sum = 0.0f;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		sum += (q31_t)pSrcA[i] * pSrcB[i]; //18.14
+	}
+  *result = sum;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/mult.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/mult.c
new file mode 100644
index 0000000..a77c870
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/mult.c
@@ -0,0 +1,64 @@
+#include "ref.h"
+
+void ref_mult_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrcA[i] * pSrcB[i];
+	}
+}
+
+void ref_mult_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	q63_t temp;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		temp = ((q63_t)pSrcA[i] * pSrcB[i]) >> 32;
+		temp = temp << 1;
+		pDst[i] = ref_sat_q31(temp);
+	}
+}
+
+void ref_mult_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	q31_t temp;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		temp = ((q31_t)pSrcA[i] * pSrcB[i]) >> 15; //this comment is for JD, this is specifically 15 and not 16 like the q31 case might imply.  This is because CMSIS DSP lib does it this way.  No other reason.
+		pDst[i] = ref_sat_q15(temp);
+	}
+}
+
+void ref_mult_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	q15_t temp;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		temp = ((q15_t)pSrcA[i] * pSrcB[i]) >> 7;
+		pDst[i] = ref_sat_q7(temp);
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/negate.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/negate.c
new file mode 100644
index 0000000..192da1b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/negate.c
@@ -0,0 +1,53 @@
+#include "ref.h"
+
+void ref_negate_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = -pSrc[i];
+	}
+}
+
+void ref_negate_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = -pSrc[i];
+	}
+}
+
+void ref_negate_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = -pSrc[i];
+	}
+}
+
+void ref_negate_q7(
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = -pSrc[i];
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/offset.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/offset.c
new file mode 100644
index 0000000..b076e75
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/offset.c
@@ -0,0 +1,57 @@
+#include "ref.h"
+
+void ref_offset_f32(
+  float32_t * pSrc,
+  float32_t offset,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i] + offset;
+	}
+}
+
+void ref_offset_q31(
+  q31_t * pSrc,
+  q31_t offset,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ref_sat_q31( (q63_t)pSrc[i] + offset );
+	}
+}
+
+void ref_offset_q15(
+  q15_t * pSrc,
+  q15_t offset,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ref_sat_q15( (q31_t)pSrc[i] + offset );
+	}
+}
+
+void ref_offset_q7(
+  q7_t * pSrc,
+  q7_t offset,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ref_sat_q7( (q15_t)pSrc[i] + offset );
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/scale.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/scale.c
new file mode 100644
index 0000000..5ab655c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/scale.c
@@ -0,0 +1,69 @@
+#include "ref.h"
+
+void ref_scale_f32(
+  float32_t * pSrc,
+  float32_t scale,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i] * scale;
+	}
+}
+
+void ref_scale_q31(
+  q31_t * pSrc,
+  q31_t scaleFract,
+  int8_t shift,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+  int8_t kShift = shift + 1;                     /* Shift to apply after scaling */
+  int8_t sign = (kShift & 0x80);
+	q63_t temp;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		temp = ((q63_t) pSrc[i] * scaleFract) >> 32;
+		if (sign)
+			pDst[i] = temp >> -kShift;
+		else
+			pDst[i] = ref_sat_q31( (q63_t)temp << kShift );
+	}
+}
+
+void ref_scale_q15(
+  q15_t * pSrc,
+  q15_t scaleFract,
+  int8_t shift,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+  int8_t kShift = 15 - shift;                      /* Shift to apply after scaling */
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ref_sat_q15(((q31_t) pSrc[i] * scaleFract) >> kShift);
+	}
+}
+
+void ref_scale_q7(
+  q7_t * pSrc,
+  q7_t scaleFract,
+  int8_t shift,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+  int8_t kShift = 7 - shift;                      /* Shift to apply after scaling */
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ref_sat_q7(((q15_t) pSrc[i] * scaleFract) >> kShift);
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/shift.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/shift.c
new file mode 100644
index 0000000..3bc53ad
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/shift.c
@@ -0,0 +1,73 @@
+#include "ref.h"
+
+void ref_shift_q31(
+  q31_t * pSrc,
+  int8_t shiftBits,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	if (shiftBits < 0)
+	{
+		for(i=0;i<blockSize;i++)
+		{
+			pDst[i] = pSrc[i] << shiftBits;
+		}
+	}
+	else
+	{
+		for(i=0;i<blockSize;i++)
+		{
+			pDst[i] = pSrc[i] >> -shiftBits;
+		}
+	}
+}
+
+void ref_shift_q15(
+  q15_t * pSrc,
+  int8_t shiftBits,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	if (shiftBits < 0)
+	{
+		for(i=0;i<blockSize;i++)
+		{
+			pDst[i] = pSrc[i] << shiftBits;
+		}
+	}
+	else
+	{
+		for(i=0;i<blockSize;i++)
+		{
+			pDst[i] = pSrc[i] >> -shiftBits;
+		}
+	}
+}
+
+void ref_shift_q7(
+  q7_t * pSrc,
+  int8_t shiftBits,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	if (shiftBits < 0)
+	{
+		for(i=0;i<blockSize;i++)
+		{
+			pDst[i] = pSrc[i] << shiftBits;
+		}
+	}
+	else
+	{
+		for(i=0;i<blockSize;i++)
+		{
+			pDst[i] = pSrc[i] >> -shiftBits;
+		}
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/sub.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/sub.c
new file mode 100644
index 0000000..da89e95
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/BasicMathFunctions/sub.c
@@ -0,0 +1,57 @@
+#include "ref.h"
+
+void ref_sub_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrcA[i] - pSrcB[i];
+	}
+}
+
+void ref_sub_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ref_sat_q31( (q63_t)pSrcA[i] - pSrcB[i] );
+	}
+}
+
+void ref_sub_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ref_sat_q15( (q31_t)pSrcA[i] - pSrcB[i] );
+	}
+}
+
+void ref_sub_q7(
+  q7_t * pSrcA,
+  q7_t * pSrcB,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ref_sat_q7( (q15_t)pSrcA[i] - pSrcB[i] );
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/ComplexMathFunctions.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/ComplexMathFunctions.c
new file mode 100644
index 0000000..d28aad8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/ComplexMathFunctions.c
@@ -0,0 +1,8 @@
+
+#include "cmplx_conj.c"
+#include "cmplx_dot_prod.c"
+#include "cmplx_mag.c"
+#include "cmplx_mag_squared.c"
+#include "cmplx_mult_cmplx.c"
+#include "cmplx_mult_real.c"
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_conj.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_conj.c
new file mode 100644
index 0000000..6b80de0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_conj.c
@@ -0,0 +1,40 @@
+#include "ref.h"
+
+void ref_cmplx_conj_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		pDst[i] = pSrc[i];
+		pDst[i+1] = -pSrc[i+1];
+	}
+}
+
+void ref_cmplx_conj_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		pDst[i] = pSrc[i];
+		pDst[i+1] = -pSrc[i+1];
+	}
+}
+
+void ref_cmplx_conj_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		pDst[i] = pSrc[i];
+		pDst[i+1] = -pSrc[i+1];
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_dot_prod.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_dot_prod.c
new file mode 100644
index 0000000..19b1e1c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_dot_prod.c
@@ -0,0 +1,72 @@
+#include "ref.h"
+
+void ref_cmplx_dot_prod_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  uint32_t numSamples,
+  float32_t * realResult,
+  float32_t * imagResult)
+{
+	float32_t sumr, sumi;
+	uint32_t i;
+	
+	sumr = 0;
+	sumi = 0;
+	
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		sumr += pSrcA[i] * pSrcB[i]   - pSrcA[i+1] * pSrcB[i+1];
+		sumi += pSrcA[i] * pSrcB[i+1] + pSrcA[i+1] * pSrcB[i];
+	}
+	
+	*realResult = sumr;
+	*imagResult = sumi;
+}
+
+void ref_cmplx_dot_prod_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  uint32_t numSamples,
+  q63_t * realResult,
+  q63_t * imagResult)
+{
+	q63_t sumr, sumi;
+	uint32_t i;
+	
+	sumr = 0;
+	sumi = 0;
+	
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		//shifting down 14 here to provide guard bits
+		sumr += (((q63_t)pSrcA[i] * pSrcB[i]  ) >> 14) - (((q63_t)pSrcA[i+1] * pSrcB[i+1]) >> 14);
+		sumi += (((q63_t)pSrcA[i] * pSrcB[i+1]) >> 14) + (((q63_t)pSrcA[i+1] * pSrcB[i]  ) >> 14);
+	}
+	
+	*realResult = sumr;
+	*imagResult = sumi;
+}
+
+void ref_cmplx_dot_prod_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  uint32_t numSamples,
+  q31_t * realResult,
+  q31_t * imagResult)
+{
+	q63_t sumr, sumi;
+	uint32_t i;
+	
+	sumr = 0;
+	sumi = 0;
+	
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		sumr += (q31_t)pSrcA[i] * pSrcB[i]   - (q31_t)pSrcA[i+1] * pSrcB[i+1];
+		sumi += (q31_t)pSrcA[i] * pSrcB[i+1] + (q31_t)pSrcA[i+1] * pSrcB[i];
+	}
+	
+	//shifting down 6 at the end here because there are already 32 guard bits available, this method is more accurate
+	*realResult = (q31_t)(sumr >> 6);
+	*imagResult = (q31_t)(sumi >> 6);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_mag.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_mag.c
new file mode 100644
index 0000000..b5ac28d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_mag.c
@@ -0,0 +1,49 @@
+#include "ref.h"
+
+void ref_cmplx_mag_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		*pDst++ = sqrtf(pSrc[i] * pSrc[i] + pSrc[i+1] * pSrc[i+1]);
+	}
+}
+
+void ref_cmplx_mag_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	q31_t acc0,acc1,out;
+	
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		acc0 = (q31_t)(((q63_t)pSrc[i] * pSrc[i]) >> 33);
+		acc1 = (q31_t)(((q63_t)pSrc[i+1] * pSrc[i+1]) >> 33);
+		out = acc0 + acc1;
+		*pDst++ = (q31_t)(sqrtf((float)out / 2147483648.0f) * 2147483648.0f);
+	}
+}
+
+void ref_cmplx_mag_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	q31_t acc0,acc1;
+	q15_t out;
+	
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		acc0 = pSrc[i] * pSrc[i];
+		acc1 = pSrc[i+1] * pSrc[i+1];
+		out = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+		*pDst++ = (q15_t)(sqrtf((float)out / 32768.0f) * 32768.0f);
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_mag_squared.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_mag_squared.c
new file mode 100644
index 0000000..aec7bd5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_mag_squared.c
@@ -0,0 +1,46 @@
+#include "ref.h"
+
+void ref_cmplx_mag_squared_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		*pDst++ = pSrc[i] * pSrc[i] + pSrc[i+1] * pSrc[i+1];
+	}
+}
+
+void ref_cmplx_mag_squared_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	q31_t acc0,acc1;
+	
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		acc0 = (q31_t)(((q63_t)pSrc[i] * pSrc[i]) >> 33);
+		acc1 = (q31_t)(((q63_t)pSrc[i+1] * pSrc[i+1]) >> 33);
+		*pDst++ = acc0 + acc1;
+	}
+}
+
+void ref_cmplx_mag_squared_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	q31_t acc0,acc1;
+	
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		acc0 = pSrc[i] * pSrc[i];
+		acc1 = pSrc[i+1] * pSrc[i+1];
+		*pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_mult_cmplx.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_mult_cmplx.c
new file mode 100644
index 0000000..c7a5409
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_mult_cmplx.c
@@ -0,0 +1,56 @@
+#include "ref.h"
+
+void ref_cmplx_mult_cmplx_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		pDst[i]   = pSrcA[i] * pSrcB[i]   - pSrcA[i+1] * pSrcB[i+1];
+		pDst[i+1] = pSrcA[i] * pSrcB[i+1] + pSrcA[i+1] * pSrcB[i];
+	}
+}
+
+void ref_cmplx_mult_cmplx_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	q31_t mul1, mul2, mul3, mul4;
+	
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		mul1 = ((q63_t)pSrcA[i]   * pSrcB[i])   >> 33;
+		mul2 = ((q63_t)pSrcA[i+1] * pSrcB[i+1]) >> 33;
+		mul3 = ((q63_t)pSrcA[i]   * pSrcB[i+1]) >> 33;
+		mul4 = ((q63_t)pSrcA[i+1] * pSrcB[i])   >> 33;
+		pDst[i]   = mul1 - mul2;
+		pDst[i+1] = mul3 + mul4;
+	}
+}
+
+void ref_cmplx_mult_cmplx_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	q31_t mul1, mul2, mul3, mul4;
+	
+	for(i=0;i<numSamples*2;i+=2)
+	{
+		mul1 = ((q31_t)pSrcA[i]   * pSrcB[i])   >> 17;
+		mul2 = ((q31_t)pSrcA[i+1] * pSrcB[i+1]) >> 17;
+		mul3 = ((q31_t)pSrcA[i]   * pSrcB[i+1]) >> 17;
+		mul4 = ((q31_t)pSrcA[i+1] * pSrcB[i])   >> 17;
+		pDst[i]   = mul1 - mul2;
+		pDst[i+1] = mul3 + mul4;
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_mult_real.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_mult_real.c
new file mode 100644
index 0000000..dc4928e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ComplexMathFunctions/cmplx_mult_real.c
@@ -0,0 +1,52 @@
+#include "ref.h"
+
+void ref_cmplx_mult_real_f32(
+  float32_t * pSrcCmplx,
+  float32_t * pSrcReal,
+  float32_t * pCmplxDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	
+	for(i=0;i<numSamples;i++)
+	{
+		pCmplxDst[2*i+0] = pSrcCmplx[2*i+0] * pSrcReal[i];
+		pCmplxDst[2*i+1] = pSrcCmplx[2*i+1] * pSrcReal[i];
+	}
+}
+
+void ref_cmplx_mult_real_q31(
+  q31_t * pSrcCmplx,
+  q31_t * pSrcReal,
+  q31_t * pCmplxDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	q31_t tempR, tempI;
+	
+	for(i=0;i<numSamples;i++)
+	{
+		tempR = ((q63_t) pSrcCmplx[2*i+0] * pSrcReal[i]) >> 32;
+		tempI = ((q63_t) pSrcCmplx[2*i+1] * pSrcReal[i]) >> 32;
+		pCmplxDst[2*i+0] = ref_sat_n(tempR, 31) << 1;
+		pCmplxDst[2*i+1] = ref_sat_n(tempI, 31) << 1;
+	}
+}
+
+void ref_cmplx_mult_real_q15(
+  q15_t * pSrcCmplx,
+  q15_t * pSrcReal,
+  q15_t * pCmplxDst,
+  uint32_t numSamples)
+{
+	uint32_t i;
+	q31_t tempR, tempI;
+	
+	for(i=0;i<numSamples;i++)
+	{
+		tempR = ((q31_t) pSrcCmplx[2*i+0] * pSrcReal[i]) >> 15;
+		tempI = ((q31_t) pSrcCmplx[2*i+1] * pSrcReal[i]) >> 15;
+		pCmplxDst[2*i+0] = ref_sat_q15(tempR);
+		pCmplxDst[2*i+1] = ref_sat_q15(tempI);
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ControllerFunctions/ControllerFunctions.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ControllerFunctions/ControllerFunctions.c
new file mode 100644
index 0000000..b26e912
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ControllerFunctions/ControllerFunctions.c
@@ -0,0 +1,4 @@
+
+#include "pid.c"
+#include "sin_cos.c"
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ControllerFunctions/pid.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ControllerFunctions/pid.c
new file mode 100644
index 0000000..51aa633
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ControllerFunctions/pid.c
@@ -0,0 +1,97 @@
+#include "ref.h"
+
+float32_t ref_pid_f32(
+	arm_pid_instance_f32 * S,
+	float32_t in)
+{
+	float32_t out;
+
+	/* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]  */
+	out = S->state[2] + S->A0 * in + S->A1 * S->state[0] + S->A2 * S->state[1];
+
+	/* Update state */
+	S->state[1] = S->state[0];
+	S->state[0] = in;
+	S->state[2] = out;
+
+	/* return to application */
+	return (out);
+}
+
+q31_t ref_pid_q31(
+	arm_pid_instance_q31 * S,
+	q31_t in)
+{
+	q63_t acc;
+	q31_t out;
+
+	/* acc = A0 * x[n]  */
+	acc = (q63_t) S->A0 * in;
+
+	/* acc += A1 * x[n-1] */
+	acc += (q63_t) S->A1 * S->state[0];
+
+	/* acc += A2 * x[n-2]  */
+	acc += (q63_t) S->A2 * S->state[1];
+
+	/* convert output to 1.31 format to add y[n-1] */
+	out = (q31_t) (acc >> 31U);
+
+	/* out += y[n-1] */
+	out += S->state[2];
+
+	/* Update state */
+	S->state[1] = S->state[0];
+	S->state[0] = in;
+	S->state[2] = out;
+
+	/* return to application */
+	return (out);
+}
+
+q15_t ref_pid_q15(
+	arm_pid_instance_q15 * S,
+	q15_t in)
+{
+	q63_t acc;
+	q15_t out;
+	q15_t A1, A2;
+	
+#if defined (ARM_MATH_DSP)
+   
+#ifndef  ARM_MATH_BIG_ENDIAN
+	A2 = S->A1 >> 16;
+	A1 = (q15_t)S->A1;	
+#else
+	A1 = S->A1 >> 16;
+	A2 = (q15_t)S->A1;	
+#endif
+   
+#else
+	
+	A1 = S->A1;
+	A2 = S->A2;
+	
+#endif	
+	
+	/* acc = A0 * x[n]  */
+	acc = ((q31_t) S->A0) * in;
+
+	/* acc += A1 * x[n-1] + A2 * x[n-2]  */
+	acc += (q31_t) A1 * S->state[0];
+	acc += (q31_t) A2 * S->state[1];
+
+	/* acc += y[n-1] */
+	acc += (q31_t) S->state[2] << 15;
+
+	/* saturate the output */
+	out = ref_sat_q15(acc >> 15);
+
+	/* Update state */
+	S->state[1] = S->state[0];
+	S->state[0] = in;
+	S->state[2] = out;
+
+	/* return to application */
+	return (out);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ControllerFunctions/sin_cos.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ControllerFunctions/sin_cos.c
new file mode 100644
index 0000000..22c91a0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/ControllerFunctions/sin_cos.c
@@ -0,0 +1,21 @@
+#include "ref.h"
+
+void ref_sin_cos_f32(
+  float32_t theta,
+  float32_t * pSinVal,
+  float32_t * pCosVal)
+{
+	//theta is given in degrees
+	*pSinVal = sinf(theta * 6.28318530717959f / 360.0f);
+	*pCosVal = cosf(theta * 6.28318530717959f / 360.0f);
+}
+
+void ref_sin_cos_q31(
+  q31_t theta,
+  q31_t * pSinVal,
+  q31_t * pCosVal)
+{
+	//theta is given in the range [-1,1) to represent [-pi,pi)
+	*pSinVal = (q31_t)(sinf((float32_t)theta * 3.14159265358979f / 2147483648.0f) * 2147483648.0f);
+	*pCosVal = (q31_t)(cosf((float32_t)theta * 3.14159265358979f / 2147483648.0f) * 2147483648.0f);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FastMathFunctions/FastMathFunctions.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FastMathFunctions/FastMathFunctions.c
new file mode 100644
index 0000000..2ea0f98
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FastMathFunctions/FastMathFunctions.c
@@ -0,0 +1,5 @@
+
+#include "cos.c"
+#include "sin.c"
+#include "sqrt.c"
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FastMathFunctions/cos.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FastMathFunctions/cos.c
new file mode 100644
index 0000000..ab6c98e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FastMathFunctions/cos.c
@@ -0,0 +1,11 @@
+#include "ref.h"
+
+q31_t ref_cos_q31(q31_t x)
+{
+	return (q31_t)(cosf((float32_t)x * 6.28318530717959f / 2147483648.0f) * 2147483648.0f);
+}
+
+q15_t ref_cos_q15(q15_t x)
+{
+	return (q15_t)(cosf((float32_t)x * 6.28318530717959f / 32768.0f) * 32768.0f);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FastMathFunctions/sin.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FastMathFunctions/sin.c
new file mode 100644
index 0000000..3f303a5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FastMathFunctions/sin.c
@@ -0,0 +1,11 @@
+#include "ref.h"
+
+q31_t ref_sin_q31(q31_t x)
+{
+	return (q31_t)(sinf((float32_t)x * 6.28318530717959f / 2147483648.0f) * 2147483648.0f);
+}
+
+q15_t ref_sin_q15(q15_t x)
+{
+	return (q15_t)(sinf((float32_t)x * 6.28318530717959f / 32768.0f) * 32768.0f);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FastMathFunctions/sqrt.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FastMathFunctions/sqrt.c
new file mode 100644
index 0000000..9dc34af
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FastMathFunctions/sqrt.c
@@ -0,0 +1,15 @@
+#include "ref.h"
+
+arm_status ref_sqrt_q31(q31_t in, q31_t * pOut)
+{
+	*pOut = (q31_t)(sqrtf((float32_t)in / 2147483648.0f) * 2147483648.0f);
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_sqrt_q15(q15_t in, q15_t * pOut)
+{
+	*pOut = (q15_t)(sqrtf((float32_t)in / 32768.0f) * 32768.0f);
+	
+	return ARM_MATH_SUCCESS;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/FilteringFunctions.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/FilteringFunctions.c
new file mode 100644
index 0000000..a1eeaaa
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/FilteringFunctions.c
@@ -0,0 +1,12 @@
+
+#include "biquad.c"
+#include "conv.c"
+#include "correlate.c"
+#include "fir.c"
+#include "fir_decimate.c"
+#include "fir_interpolate.c"
+#include "fir_lattice.c"
+#include "fir_sparse.c"
+#include "iir_lattice.c"
+#include "lms.c"
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/biquad.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/biquad.c
new file mode 100644
index 0000000..78634cd
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/biquad.c
@@ -0,0 +1,713 @@
+#include "ref.h"
+
+void ref_biquad_cascade_df2T_f32(
+	const arm_biquad_cascade_df2T_instance_f32 * S,
+	float32_t * pSrc,
+	float32_t * pDst,
+	uint32_t blockSize)
+{
+        float32_t *pIn = pSrc;                         /*  source pointer            */
+        float32_t *pOut = pDst;                        /*  destination pointer       */
+        float32_t *pState = S->pState;                 /*  State pointer             */
+  const float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
+        float32_t acc;                                 /*  accumulator               */
+        float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
+        float32_t Xn;                                  /*  temporary input           */
+        float32_t d1, d2;                              /*  state variables           */
+        uint32_t sample, stage = S->numStages;         /*  loop counters             */
+
+   do
+   {
+      /* Reading the coefficients */
+      b0 = *pCoeffs++;
+      b1 = *pCoeffs++;
+      b2 = *pCoeffs++;
+      a1 = *pCoeffs++;
+      a2 = *pCoeffs++;
+
+      /*Reading the state values */
+      d1 = pState[0];
+      d2 = pState[1];
+
+      sample = blockSize;
+
+      while (sample > 0U)
+      {
+         /* Read the input */
+         Xn = *pIn++;
+
+         /* y[n] = b0 * x[n] + d1 */
+         acc = (b0 * Xn) + d1;
+
+         /* Store the result in the accumulator in the destination buffer. */
+         *pOut++ = acc;
+
+         /* Every time after the output is computed state should be updated. */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         d1 = (b1 * Xn + a1 * acc) + d2;
+
+         /* d2 = b2 * x[n] + a2 * y[n] */
+         d2 = (b2 * Xn) + (a2 * acc);
+
+         /* decrement the loop counter */
+         sample--;
+      }
+
+      /* Store the updated state variables back into the state array */
+      *pState++ = d1;
+      *pState++ = d2;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /*Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement the loop counter */
+      stage--;
+
+   } while (stage > 0U);
+}
+
+
+void ref_biquad_cascade_stereo_df2T_f32(
+	const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+	      float32_t * pSrc,
+	      float32_t * pDst,
+	      uint32_t blockSize)
+{
+        float32_t *pIn = pSrc;                         /*  source pointer            */
+        float32_t *pOut = pDst;                        /*  destination pointer       */
+        float32_t *pState = S->pState;                 /*  State pointer             */
+  const float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
+        float32_t acc1a, acc1b;                        /*  accumulator               */
+        float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
+        float32_t Xn1a, Xn1b;                          /*  temporary input           */
+        float32_t d1a, d2a, d1b, d2b;                  /*  state variables           */
+        uint32_t sample, stage = S->numStages;         /*  loop counters             */
+
+    do
+    {
+        /* Reading the coefficients */
+        b0 = *pCoeffs++;
+        b1 = *pCoeffs++;
+        b2 = *pCoeffs++;
+        a1 = *pCoeffs++;
+        a2 = *pCoeffs++;
+
+        /*Reading the state values */
+        d1a = pState[0];
+        d2a = pState[1];
+        d1b = pState[2];
+        d2b = pState[3];
+
+        sample = blockSize;
+
+        while (sample > 0U)
+        {
+            /* Read the input */
+            Xn1a = *pIn++; //Channel a
+            Xn1b = *pIn++; //Channel b
+
+            /* y[n] = b0 * x[n] + d1 */
+            acc1a = (b0 * Xn1a) + d1a;
+            acc1b = (b0 * Xn1b) + d1b;
+
+            /* Store the result in the accumulator in the destination buffer. */
+            *pOut++ = acc1a;
+            *pOut++ = acc1b;
+
+            /* Every time after the output is computed state should be updated. */
+            /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+            d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+            d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+            /* d2 = b2 * x[n] + a2 * y[n] */
+            d2a = (b2 * Xn1a) + (a2 * acc1a);
+            d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+            /* decrement the loop counter */
+            sample--;
+        }
+
+        /* Store the updated state variables back into the state array */
+        *pState++ = d1a;
+        *pState++ = d2a;
+        *pState++ = d1b;
+        *pState++ = d2b;
+
+        /* The current stage input is given as the output to the next stage */
+        pIn = pDst;
+
+        /*Reset the output working pointer */
+        pOut = pDst;
+
+        /* decrement the loop counter */
+        stage--;
+
+    } while (stage > 0U);
+	
+}
+
+void ref_biquad_cascade_df2T_f64(
+	const arm_biquad_cascade_df2T_instance_f64 * S,
+	float64_t * pSrc,
+	float64_t * pDst,
+	uint32_t blockSize)
+{
+   float64_t *pIn = pSrc;                         /*  source pointer            */
+   float64_t *pOut = pDst;                        /*  destination pointer       */
+   float64_t *pState = S->pState;                 /*  State pointer             */
+   float64_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
+   float64_t acc;                                 /*  accumulator               */
+   float64_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
+   float64_t Xn;                                  /*  temporary input           */
+   float64_t d1, d2;                              /*  state variables           */
+   uint32_t sample, stage = S->numStages;         /*  loop counters             */
+
+   do
+   {
+      /* Reading the coefficients */
+      b0 = *pCoeffs++;
+      b1 = *pCoeffs++;
+      b2 = *pCoeffs++;
+      a1 = *pCoeffs++;
+      a2 = *pCoeffs++;
+
+      /*Reading the state values */
+      d1 = pState[0];
+      d2 = pState[1];
+
+      sample = blockSize;
+
+      while (sample > 0U)
+      {
+         /* Read the input */
+         Xn = *pIn++;
+
+         /* y[n] = b0 * x[n] + d1 */
+         acc = (b0 * Xn) + d1;
+
+         /* Store the result in the accumulator in the destination buffer. */
+         *pOut++ = acc;
+
+         /* Every time after the output is computed state should be updated. */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         d1 = (b1 * Xn + a1 * acc) + d2;
+
+         /* d2 = b2 * x[n] + a2 * y[n] */
+         d2 = (b2 * Xn) + (a2 * acc);
+
+         /* decrement the loop counter */
+         sample--;
+      }
+
+      /* Store the updated state variables back into the state array */
+      *pState++ = d1;
+      *pState++ = d2;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /*Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement the loop counter */
+      stage--;
+
+   } while (stage > 0U);
+}
+
+void ref_biquad_cascade_df1_f32(
+  const arm_biquad_casd_df1_inst_f32 * S,
+        float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        float32_t *pIn = pSrc;                         /*  source pointer            */
+        float32_t *pOut = pDst;                        /*  destination pointer       */
+        float32_t *pState = S->pState;                 /*  pState pointer            */
+  const float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
+        float32_t acc;                                 /*  Simulates the accumulator */
+        float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
+        float32_t Xn1, Xn2, Yn1, Yn2;                  /*  Filter pState variables   */
+        float32_t Xn;                                  /*  temporary input           */
+        uint32_t sample, stage = S->numStages;         /*  loop counters             */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the pState values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    /*      The variables acc holds the output value that is computed:        
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1]   + a2 * y[n-2]        
+     */
+
+    sample = blockSize;
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = acc;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:    */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc   */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = acc;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent numStages  occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset the output pointer */
+    pOut = pDst;
+
+    /* decrement the loop counter */
+    stage--;
+
+  } while (stage > 0U);
+}
+
+void ref_biquad_cas_df1_32x64_q31(
+  const arm_biquad_cas_df1_32x64_ins_q31 * S,
+        q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        q31_t *pIn = pSrc;                             /*  input pointer initialization  			*/
+        q31_t *pOut = pDst;                            /*  output pointer initialization 			*/
+        q63_t *pState = S->pState;                     /*  state pointer initialization  			*/
+  const q31_t *pCoeffs = S->pCoeffs;                   /*  coeff pointer initialization  			*/
+        q63_t acc;                                     /*  accumulator                   			*/
+        q31_t Xn1, Xn2;                                /*  Input Filter state variables  			*/
+        q63_t Yn1, Yn2;                                /*  Output Filter state variables 			*/
+        q31_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           			*/
+        q31_t Xn;                                      /*  temporary input               			*/
+        int32_t shift = (int32_t) S->postShift + 1;    /*  Shift to be applied to the output 	*/
+        uint32_t sample, stage = S->numStages;         /*  loop counters                     	*/
+        q31_t acc_l, acc_h;                            /*  temporary output               		*/
+        uint32_t uShift = ((uint32_t) S->postShift + 1U);
+        uint32_t lShift = 32U - uShift;                /*  Shift to be applied to the output 	*/
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    sample = blockSize;
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc = (q63_t)Xn*b0 + (q63_t)Xn1*b1 + (q63_t)Xn2*b2;
+      /* acc +=  a1 * y[n-1] */
+      acc += mult32x64(Yn1, a1);
+      /* acc +=  a2 * y[n-2] */
+      acc += mult32x64(Yn2, a2);
+
+      /* Every time after the output is computed state should be updated. */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+
+      /* The result is converted to 1.63, Yn1 variable is reused  */
+      Yn1 = acc << shift;
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer in 1.31 format. */
+      *pOut++ = acc_h;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /*  The first stage output is given as input to the second stage. */
+    pIn = pDst;
+
+    /* Reset to destination buffer working pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = (q63_t) Xn1;
+    *pState++ = (q63_t) Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while (--stage);
+}
+
+void ref_biquad_cascade_df1_q31(
+  const arm_biquad_casd_df1_inst_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{	
+        q63_t acc;                                     /*  accumulator                   */
+        uint32_t uShift = ((uint32_t) S->postShift + 1U);
+        uint32_t lShift = 32U - uShift;                /*  Shift to be applied to the output */
+        q31_t *pIn = pSrc;                             /*  input pointer initialization  */
+        q31_t *pOut = pDst;                            /*  output pointer initialization */
+        q31_t *pState = S->pState;                     /*  pState pointer initialization */
+  const q31_t *pCoeffs = S->pCoeffs;                   /*  coeff pointer initialization  */
+        q31_t Xn1, Xn2, Yn1, Yn2;                      /*  Filter state variables        */
+        q31_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
+        q31_t Xn;                                      /*  temporary input               */
+        uint32_t sample, stage = S->numStages;         /*  loop counters                 */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    /*      The variables acc holds the output value that is computed:         
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]         
+     */
+
+    sample = blockSize;
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) b0 *Xn;
+
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) b1 *Xn1;
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) b2 *Xn2;
+      /* acc +=  a1 * y[n-1] */
+      acc += (q63_t) a1 *Yn1;
+      /* acc +=  a2 * y[n-2] */
+      acc += (q63_t) a2 *Yn2;
+
+      /* The result is converted to 1.31  */
+      acc = acc >> lShift;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1    */
+      /* Xn1 = Xn     */
+      /* Yn2 = Yn1    */
+      /* Yn1 = acc    */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = (q31_t) acc;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = (q31_t) acc;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent stages occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset to destination pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while (--stage);
+}
+
+
+void ref_biquad_cascade_df1_fast_q31(
+  const arm_biquad_casd_df1_inst_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+        q31_t acc = 0;                                 /*  accumulator                   */
+        q31_t Xn1, Xn2, Yn1, Yn2;                      /*  Filter state variables        */
+        q31_t b0, b1, b2, a1, a2;                      /*  Filter coefficients           */
+        q31_t *pIn = pSrc;                             /*  input pointer initialization  */
+        q31_t *pOut = pDst;                            /*  output pointer initialization */
+        q31_t *pState = S->pState;                     /*  pState pointer initialization */
+  const q31_t *pCoeffs = S->pCoeffs;                   /*  coeff pointer initialization  */
+        q31_t Xn;                                      /*  temporary input               */
+        int32_t shift = (int32_t) S->postShift + 1;    /*  Shift to be applied to the output */
+        uint32_t sample, stage = S->numStages;         /*  loop counters                     */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+		
+    sample = blockSize;
+
+   while (sample > 0U)
+   {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */    
+      mult_32x32_keep32_R(acc, b0, Xn);
+      multAcc_32x32_keep32_R(acc, b1, Xn1);
+      multAcc_32x32_keep32_R(acc, b2, Xn2);
+      multAcc_32x32_keep32_R(acc, a1, Yn1);
+      multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+      /* The result is converted to 1.31  */
+      acc <<= shift;
+
+      /* Every time after the output is computed state should be updated. */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = acc;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = acc;
+
+      /* decrement the loop counter */
+      sample--;
+   }
+
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent stages occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset to destination pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while (--stage);
+}
+
+void ref_biquad_cascade_df1_fast_q15(
+  const arm_biquad_casd_df1_inst_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	      q15_t *pIn = pSrc;                             			/*  Source pointer                           */
+	      q15_t *pOut = pDst;                            			/*  Destination pointer                      */
+	      q15_t b0, b1, b2, a1, a2;                      			/*  Filter coefficients           				*/
+	      q15_t Xn1, Xn2, Yn1, Yn2;                      			/*  Filter state variables        				*/
+	      q15_t Xn;                                      			/*  temporary input               				*/
+	      q31_t acc;                                     			/*  Accumulator                              */
+	      int32_t shift = (15 - (int32_t) S->postShift); 			/*  Post shift                               */
+	      q15_t *pState = S->pState;                     			/*  State pointer                            */
+  const q15_t *pCoeffs = S->pCoeffs;                   			/*  Coefficient pointer                      */
+        uint32_t sample, stage = (uint32_t) S->numStages;   /*  Stage loop counter                          */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    pCoeffs++;  // skip the 0 coefficient
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    sample = blockSize;
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc = (q31_t)b0*Xn + (q31_t)b1*Xn1 + (q31_t)b2*Xn2 + (q31_t)a1*Yn1 + (q31_t)a2*Yn2;
+
+      /* The result is converted to 1.15  */
+      acc = ref_sat_q15(acc >> shift);
+
+      /* Every time after the output is computed state should be updated. */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = (q15_t) acc;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = (q15_t) acc;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent stages occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset to destination pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while (--stage);
+}
+
+void ref_biquad_cascade_df1_q15(
+  const arm_biquad_casd_df1_inst_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	      q15_t *pIn = pSrc;                             			/*  Source pointer                           */
+	      q15_t *pOut = pDst;                            			/*  Destination pointer                      */
+	      q15_t b0, b1, b2, a1, a2;                      			/*  Filter coefficients           				*/
+	      q15_t Xn1, Xn2, Yn1, Yn2;                      			/*  Filter state variables        				*/
+	      q15_t Xn;                                      			/*  temporary input               				*/
+	      q63_t acc;                                     			/*  Accumulator                              */
+	      int32_t shift = (15 - (int32_t) S->postShift); 			/*  Post shift                               */
+	      q15_t *pState = S->pState;                     			/*  State pointer                            */
+  const q15_t *pCoeffs = S->pCoeffs;                   			/*  Coefficient pointer                      */
+        uint32_t sample, stage = (uint32_t) S->numStages;   /*  Stage loop counter                          */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    pCoeffs++;  // skip the 0 coefficient
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    sample = blockSize;
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc = (q31_t)b0*Xn + (q31_t)b1*Xn1 + (q31_t)b2*Xn2 + (q31_t)a1*Yn1 + (q31_t)a2*Yn2;
+
+      /* The result is converted to 1.15  */
+      acc = ref_sat_q15(acc >> shift);
+
+      /* Every time after the output is computed state should be updated. */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = (q15_t) acc;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = (q15_t) acc;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent stages occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset to destination pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while (--stage);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/conv.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/conv.c
new file mode 100644
index 0000000..dc1b103
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/conv.c
@@ -0,0 +1,350 @@
+#include "ref.h"
+
+void ref_conv_f32(
+  float32_t * pSrcA,
+  uint32_t 		srcALen,
+  float32_t * pSrcB,
+  uint32_t 		srcBLen,
+  float32_t * pDst)
+{
+  float32_t sum;                                 /* Accumulator */
+  uint32_t i, j;                                 /* loop counters */
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0; i < srcALen + srcBLen - 1; i++)
+  {
+    /* Initialize sum with zero to carry out MAC operations */
+    sum = 0.0f;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((i - j < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += pSrcB[i - j] * pSrcA[j];
+      }
+    }
+    /* Store the output in the destination buffer */
+    pDst[i] = sum;
+  }
+}
+
+arm_status ref_conv_partial_f32(
+  float32_t * pSrcA,
+  uint32_t srcALen,
+  float32_t * pSrcB,
+  uint32_t srcBLen,
+  float32_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints)
+{
+	ref_conv_f32(pSrcA,srcALen,pSrcB,srcBLen,pDst);
+	
+	return ARM_MATH_SUCCESS;
+}
+
+void ref_conv_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst)
+{
+  q63_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counter */
+
+  /* Loop to calculate output of convolution for output length number of times */
+  for (i = 0; i < srcALen + srcBLen - 1; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((i - j < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += (q63_t) pSrcA[j] * (pSrcB[i - j]);
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = (q31_t)(sum >> 31U);
+  }
+}
+
+void ref_conv_fast_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst)
+{
+  q31_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counter */
+
+  /* Loop to calculate output of convolution for output length number of times */
+  for (i = 0; i < srcALen + srcBLen - 1; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((i - j < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+				sum = (q31_t) ((((q63_t)sum << 32) +
+                      ((q63_t)pSrcA[j] * pSrcB[i - j])) >> 32);
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = (q31_t)(sum << 1U);
+  }
+}
+
+arm_status ref_conv_partial_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints)
+{
+	ref_conv_q31(pSrcA,srcALen,pSrcB,srcBLen,pDst);
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_conv_partial_fast_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints)
+{
+	ref_conv_fast_q31(pSrcA,srcALen,pSrcB,srcBLen,pDst);
+   
+	return ARM_MATH_SUCCESS;
+}
+
+void ref_conv_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst)
+{
+  q63_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counter */
+
+  /* Loop to calculate output of convolution for output length number of times */
+  for (i = 0; i < srcALen + srcBLen - 1; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((i - j < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += (q31_t)pSrcA[j] * pSrcB[i - j];
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = ref_sat_q15(sum >> 15U);
+  }
+}
+
+arm_status ref_conv_partial_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints,
+  q15_t * pScratch1,
+  q15_t * pScratch2)
+{
+  q31_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counter */
+
+  /* Loop to calculate output of convolution for output length number of times */
+  for (i = 0; i < srcALen + srcBLen - 1; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((i - j < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += (q31_t)pSrcA[j] * pSrcB[i - j];
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = ref_sat_q15(sum >> 15U);
+  }
+	
+  return ARM_MATH_SUCCESS;
+}
+
+void ref_conv_fast_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst)
+{
+  q31_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counter */
+
+  /* Loop to calculate output of convolution for output length number of times */
+  for (i = 0; i < srcALen + srcBLen - 1; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((i - j < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += (q31_t)pSrcA[j] * pSrcB[i - j];
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = sum >> 15U;
+  }
+}
+
+void ref_conv_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  q15_t * pScratch1,
+  q15_t * pScratch2)
+{
+  q31_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counter */
+
+  /* Loop to calculate output of convolution for output length number of times */
+  for (i = 0; i < srcALen + srcBLen - 1; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((i - j < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += (q31_t)pSrcA[j] * pSrcB[i - j];
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = ref_sat_q15(sum >> 15U);
+  }
+}
+
+arm_status ref_conv_partial_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints)
+{
+	ref_conv_q15(pSrcA,srcALen,pSrcB,srcBLen,pDst);
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_conv_partial_fast_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints)
+{
+	ref_conv_fast_q15(pSrcA,srcALen,pSrcB,srcBLen,pDst);
+	
+	return ARM_MATH_SUCCESS;
+}
+
+
+void ref_conv_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst)
+{
+  q31_t sum;                                     /* Accumulator */
+  uint32_t i, j;                                 /* loop counter */
+
+  /* Loop to calculate output of convolution for output length number of times */
+  for (i = 0; i < srcALen + srcBLen - 1; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((i - j < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += (q15_t)pSrcA[j] * pSrcB[i - j];
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = (q7_t)ref_sat_q7(sum >> 7);
+  }
+}
+
+arm_status ref_conv_partial_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst,
+  uint32_t firstIndex,
+  uint32_t numPoints)
+{	
+	ref_conv_q7(pSrcA,srcALen,pSrcB,srcBLen,pDst);
+	
+	return ARM_MATH_SUCCESS;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/correlate.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/correlate.c
new file mode 100644
index 0000000..ff1d95b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/correlate.c
@@ -0,0 +1,513 @@
+#include "ref.h"
+
+void ref_correlate_f32(
+  float32_t * pSrcA,
+  uint32_t srcALen,
+  float32_t * pSrcB,
+  uint32_t srcBLen,
+  float32_t * pDst)
+{
+  float32_t *pIn1 = pSrcA;                       /* inputA pointer 			*/
+  float32_t *pIn2 = pSrcB + (srcBLen - 1U);      /* inputB pointer 			*/
+  float32_t sum;                                 /* Accumulator 				*/
+  uint32_t i = 0U, j;                            /* loop counters 			*/
+  uint32_t inv = 0U;                             /* Reverse order flag 	*/
+  uint32_t tot = 0U;                             /* Length 							*/
+
+  /* The algorithm implementation is based on the lengths of the inputs. 
+   * srcB is always made to slide across srcA. 
+   * So srcBLen is always considered as shorter or equal to srcALen 
+   * But CORR(x, y) is reverse of CORR(y, x) 
+   * So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer 
+   * and a variable, inv is set to 1 
+   * If lengths are not equal then zero pad has to be done to make the two    
+   * inputs of same length. But to improve the performance, we include zeroes    
+   * in the output instead of zero padding either of the the inputs
+   * If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the    
+   * starting of the output buffer 
+   * If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the   
+   * ending of the output buffer 
+   * Once the zero padding is done the remaining of the output is calcualted   
+   * using convolution but with the shorter signal time shifted. 
+	 */
+
+  /* Calculate the length of the remaining sequence */
+  tot = srcALen + srcBLen - 2U;
+
+  if (srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    /* Initialise the pointer after zero padding */
+    pDst += srcALen - srcBLen;
+  }
+  else if (srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + srcALen - 1U;
+
+    /* Initialisation of the pointer after zero padding */
+    pDst += tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+  }
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0U; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0.0f;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((i - j < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += pIn1[j] * pIn2[-((int32_t)i - j)];
+      }
+    }
+    /* Store the output in the destination buffer */
+    if (inv == 1)
+      *pDst-- = sum;
+    else
+      *pDst++ = sum;
+  }
+}
+
+void ref_correlate_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst)
+{
+  q31_t *pIn1 = pSrcA;                           /* inputA pointer               */
+  q31_t *pIn2 = pSrcB + (srcBLen - 1U);          /* inputB pointer               */
+  q63_t sum;                                     /* Accumulators                  */
+  uint32_t i = 0U, j;                            /* loop counters */
+  uint32_t inv = 0U;                             /* Reverse order flag */
+  uint32_t tot = 0U;                             /* Length */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2U);
+
+  if (srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if (srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1U);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+
+  }
+
+  /* Loop to calculate correlation for output length number of times */
+  for (i = 0U; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to correlation equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((((i - j) < srcBLen) && (j < srcALen)))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q63_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+      }
+    }
+    /* Store the output in the destination buffer */
+    if (inv == 1)
+      *pDst-- = (q31_t)(sum >> 31U);
+    else
+      *pDst++ = (q31_t)(sum >> 31U);
+  }
+}
+
+void ref_correlate_fast_q31(
+  q31_t * pSrcA,
+  uint32_t srcALen,
+  q31_t * pSrcB,
+  uint32_t srcBLen,
+  q31_t * pDst)
+{
+  q31_t *pIn1 = pSrcA;                           /* inputA pointer               */
+  q31_t *pIn2 = pSrcB + (srcBLen - 1U);          /* inputB pointer               */
+  q63_t sum;                                     /* Accumulators                  */
+  uint32_t i = 0U, j;                            /* loop counters */
+  uint32_t inv = 0U;                             /* Reverse order flag */
+  uint32_t tot = 0U;                             /* Length */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2U);
+
+  if (srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if (srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1U);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+
+  }
+
+  /* Loop to calculate correlation for output length number of times */
+  for (i = 0U; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to correlation equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((((i - j) < srcBLen) && (j < srcALen)))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+												((q63_t) pIn1[j] * pIn2[-((int32_t) i - j)])) >> 32);
+      }
+    }
+    /* Store the output in the destination buffer */
+    if (inv == 1)
+      *pDst-- = (q31_t)(sum << 1U);
+    else
+      *pDst++ = (q31_t)(sum << 1U);
+  }          
+}
+
+void ref_correlate_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst)
+{
+  q15_t *pIn1 = pSrcA;                           /* inputA pointer               */
+  q15_t *pIn2 = pSrcB + (srcBLen - 1U);          /* inputB pointer               */
+  q63_t sum;                                     /* Accumulators                  */
+  uint32_t i = 0U, j;                            /* loop counters */
+  uint32_t inv = 0U;                             /* Reverse order flag */
+  uint32_t tot = 0U;                             /* Length */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2U);
+
+  if (srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if (srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1U);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+
+  }
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0U; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((((i - j) < srcBLen) && (j < srcALen)))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q31_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+      }
+    }
+    /* Store the output in the destination buffer */
+    if (inv == 1)
+      *pDst-- = (q15_t) ref_sat_q15(sum >> 15U);
+    else
+      *pDst++ = (q15_t) ref_sat_q15(sum >> 15U);
+  }
+}
+
+void ref_correlate_fast_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst)
+{
+  q15_t *pIn1 = pSrcA;                           /* inputA pointer               */
+  q15_t *pIn2 = pSrcB + (srcBLen - 1U);          /* inputB pointer               */
+  q63_t sum;                                     /* Accumulators                  */
+  uint32_t i = 0U, j;                            /* loop counters */
+  uint32_t inv = 0U;                             /* Reverse order flag */
+  uint32_t tot = 0U;                             /* Length */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2U);
+
+  if (srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if (srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1U);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+
+  }
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0U; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((((i - j) < srcBLen) && (j < srcALen)))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q31_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+      }
+    }
+    /* Store the output in the destination buffer */
+    if (inv == 1)
+      *pDst-- = (q15_t)(sum >> 15U);
+    else
+      *pDst++ = (q15_t)(sum >> 15U);
+  }
+}
+
+void ref_correlate_fast_opt_q15(
+  q15_t * pSrcA,
+  uint32_t srcALen,
+  q15_t * pSrcB,
+  uint32_t srcBLen,
+  q15_t * pDst,
+  q15_t * pScratch)
+{
+  q15_t *pIn1 = pSrcA;                           /* inputA pointer               */
+  q15_t *pIn2 = pSrcB + (srcBLen - 1U);          /* inputB pointer               */
+  q31_t sum;                                     /* Accumulators                  */
+  uint32_t i = 0U, j;                            /* loop counters */
+  uint32_t inv = 0U;                             /* Reverse order flag */
+  uint32_t tot = 0U;                             /* Length */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2U);
+
+  if (srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if (srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1U);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+
+  }
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0U; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((((i - j) < srcBLen) && (j < srcALen)))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q31_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+      }
+    }
+    /* Store the output in the destination buffer */
+    if (inv == 1)
+      *pDst-- = (q15_t) ref_sat_q15(sum >> 15U);
+    else
+      *pDst++ = (q15_t) ref_sat_q15(sum >> 15U);
+  }
+}
+
+void ref_correlate_q7(
+  q7_t * pSrcA,
+  uint32_t srcALen,
+  q7_t * pSrcB,
+  uint32_t srcBLen,
+  q7_t * pDst)
+{
+  q7_t *pIn1 = pSrcA;                            /* inputA pointer */
+  q7_t *pIn2 = pSrcB + (srcBLen - 1U);           /* inputB pointer */
+  q31_t sum;                                     /* Accumulator */
+  uint32_t i = 0U, j;                            /* loop counters */
+  uint32_t inv = 0U;                             /* Reverse order flag */
+  uint32_t tot = 0U;                             /* Length */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2U);
+
+  if (srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if (srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1U);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+
+  }
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0U; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((((i - j) < srcBLen) && (j < srcALen)))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q15_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+      }
+    }
+    /* Store the output in the destination buffer */
+    if (inv == 1)
+      *pDst-- = (q7_t) __SSAT((sum >> 7U), 8U);
+    else
+      *pDst++ = (q7_t) __SSAT((sum >> 7U), 8U);
+  }
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir.c
new file mode 100644
index 0000000..9867f4c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir.c
@@ -0,0 +1,325 @@
+#include "ref.h"
+
+void ref_fir_f32(
+	const arm_fir_instance_f32 * S,
+	      float32_t * pSrc,
+	      float32_t * pDst,
+	      uint32_t blockSize)
+{
+        float32_t *pState = S->pState;                 /* State pointer */
+	const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t i;                    								/* Loop counters */
+        float32_t acc;
+
+   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+   /* pStateCurnt points to the location where the new input data should be written */
+   pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+   while (blockSize > 0U)
+   {
+      /* Copy one sample at a time into state buffer */
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set the accumulator to zero */
+      acc = 0.0f;
+
+			for(i=0;i<numTaps;i++)
+			{
+				/* Perform the multiply-accumulates */
+				acc += pState[i] * pCoeffs[i];
+			}
+
+      /* The result is store in the destination buffer. */
+      *pDst++ = acc;
+
+      /* Advance state pointer by 1 for the next sample */
+      pState++;
+
+      blockSize--;
+   }
+
+   /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+   /* Points to the start of the state buffer */
+   pStateCurnt = S->pState;
+
+   /* Copy data */
+	 for(i=0;i<numTaps-1;i++)
+	 {
+      pStateCurnt[i] = pState[i];
+	 }
+}
+
+void ref_fir_q31(
+  const arm_fir_instance_q31 * S,
+        q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                 /* State pointer */
+	const q31_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        q31_t *pStateCurnt;                        /* Points to the current sample of the state */
+        uint32_t numTaps = S->numTaps;             /* Number of filter coefficients in the filter */
+        uint32_t i;                                /* Loop counter */
+        q63_t acc;
+
+   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+   /* pStateCurnt points to the location where the new input data should be written */
+   pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+   while (blockSize > 0U)
+   {
+      /* Copy one sample at a time into state buffer */
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set the accumulator to zero */
+      acc = 0.0f;
+
+			for(i=0;i<numTaps;i++)
+			{
+				/* Perform the multiply-accumulates */
+				acc += (q63_t)pState[i] * pCoeffs[i];
+			}
+
+      /* The result is store in the destination buffer. */
+      *pDst++ = (q31_t)(acc >> 31);
+
+      /* Advance state pointer by 1 for the next sample */
+      pState++;
+
+      blockSize--;
+   }
+
+   /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+   /* Points to the start of the state buffer */
+   pStateCurnt = S->pState;
+
+   /* Copy data */
+	 for(i=0;i<numTaps-1;i++)
+	 {
+      pStateCurnt[i] = pState[i];
+	 }
+}
+
+void ref_fir_fast_q31(
+  const arm_fir_instance_q31 * S,
+        q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                 /* State pointer */
+	const q31_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        q31_t *pStateCurnt;                        /* Points to the current sample of the state */
+        uint32_t numTaps = S->numTaps;             /* Number of filter coefficients in the filter */
+        uint32_t i;                                /* Loop counter */
+        q31_t acc;
+
+   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+   /* pStateCurnt points to the location where the new input data should be written */
+   pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+   while (blockSize > 0U)
+   {
+      /* Copy one sample at a time into state buffer */
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set the accumulator to zero */
+      acc = 0.0f;
+
+			for(i=0;i<numTaps;i++)
+			{
+				/* Perform the multiply-accumulates */
+				acc = (q31_t) (((((q63_t) acc) << 32) + ((q63_t) pState[i] * pCoeffs[i]) + 0x80000000LL ) >> 32);
+			}
+
+      /* The result is store in the destination buffer. */
+      *pDst++ = (q31_t)(acc << 1);
+
+      /* Advance state pointer by 1 for the next sample */
+      pState++;
+
+      blockSize--;
+   }
+
+   /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+   /* Points to the start of the state buffer */
+   pStateCurnt = S->pState;
+
+   /* Copy data */
+	 for(i=0;i<numTaps-1;i++)
+	 {
+      pStateCurnt[i] = pState[i];
+	 }
+}
+
+void ref_fir_q15(
+  const arm_fir_instance_q15 * S,
+        q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                 /* State pointer */
+	const q15_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        q15_t *pStateCurnt;                        /* Points to the current sample of the state */
+        uint32_t numTaps = S->numTaps;             /* Number of filter coefficients in the filter */
+        uint32_t i;                                /* Loop counter */
+        q63_t acc;
+
+   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+   /* pStateCurnt points to the location where the new input data should be written */
+   pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+   while (blockSize > 0U)
+   {
+      /* Copy one sample at a time into state buffer */
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set the accumulator to zero */
+      acc = 0.0f;
+
+			for(i=0;i<numTaps;i++)
+			{
+				/* Perform the multiply-accumulates */
+				acc += (q31_t)pState[i] * pCoeffs[i];
+			}
+
+      /* The result is store in the destination buffer. */
+      *pDst++ = ref_sat_q15(acc >> 15);
+
+      /* Advance state pointer by 1 for the next sample */
+      pState++;
+
+      blockSize--;
+   }
+
+   /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+   /* Points to the start of the state buffer */
+   pStateCurnt = S->pState;
+
+   /* Copy data */
+	 for(i=0;i<numTaps;i++)
+	 {
+      pStateCurnt[i] = pState[i];
+	 }
+}
+
+void ref_fir_fast_q15(
+  const arm_fir_instance_q15 * S,
+        q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                 /* State pointer */
+	const q15_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        q15_t *pStateCurnt;                        /* Points to the current sample of the state */
+        uint32_t numTaps = S->numTaps;             /* Number of filter coefficients in the filter */
+        uint32_t i;                                /* Loop counter */
+        q31_t acc;
+
+   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+   /* pStateCurnt points to the location where the new input data should be written */
+   pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+   while (blockSize > 0U)
+   {
+      /* Copy one sample at a time into state buffer */
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set the accumulator to zero */
+      acc = 0.0f;
+
+			for(i=0;i<numTaps;i++)
+			{
+				/* Perform the multiply-accumulates */
+				acc += (q31_t)pState[i] * pCoeffs[i];
+			}
+
+      /* The result is store in the destination buffer. */
+      *pDst++ = ref_sat_q15(acc >> 15);
+
+      /* Advance state pointer by 1 for the next sample */
+      pState++;
+
+      blockSize--;
+   }
+
+   /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+   /* Points to the start of the state buffer */
+   pStateCurnt = S->pState;
+
+   /* Copy data */
+	 for(i=0;i<numTaps-1;i++)
+	 {
+      pStateCurnt[i] = pState[i];
+	 }
+}
+
+void ref_fir_q7(
+  const arm_fir_instance_q7 * S,
+        q7_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        q7_t *pState = S->pState;                 /* State pointer */
+	const q7_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        q7_t *pStateCurnt;                        /* Points to the current sample of the state */
+        uint32_t numTaps = S->numTaps;            /* Number of filter coefficients in the filter */
+        uint32_t i;                               /* Loop counter */
+        q31_t acc;
+
+   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+   /* pStateCurnt points to the location where the new input data should be written */
+   pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+   while (blockSize > 0U)
+   {
+      /* Copy one sample at a time into state buffer */
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set the accumulator to zero */
+      acc = 0.0f;
+
+			for(i=0;i<numTaps;i++)
+			{
+				/* Perform the multiply-accumulates */
+				acc += (q31_t)pState[i] * pCoeffs[i];
+			}
+
+      /* The result is store in the destination buffer. */
+      *pDst++ = ref_sat_q7(acc >> 7);
+
+      /* Advance state pointer by 1 for the next sample */
+      pState++;
+
+      blockSize--;
+   }
+
+   /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+   /* Points to the start of the state buffer */
+   pStateCurnt = S->pState;
+
+   /* Copy data */
+	 for(i=0;i<numTaps-1;i++)
+	 {
+      pStateCurnt[i] = pState[i];
+	 }
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir_decimate.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir_decimate.c
new file mode 100644
index 0000000..a743e73
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir_decimate.c
@@ -0,0 +1,386 @@
+#include "ref.h"
+
+void ref_fir_decimate_f32(
+  const arm_fir_decimate_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+        float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+        float32_t sum0;                                /* Accumulator */
+        float32_t x0, c0;                              /* Temporary variables to hold state and coefficient values */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t i, blkCnt;  									 				 /* Loop counters */
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + numTaps - 1U;
+
+  /* Total number of output samples to be computed */
+  blkCnt = blockSize / S->M;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+    } while (--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0.0f;
+
+		for(i=0;i<numTaps;i++)
+		{
+      /* Read coefficients */
+      c0 = pCoeffs[i];
+
+      /* Fetch 1 state variable */
+      x0 = pState[i];
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+		}
+
+    /* Advance the state pointer by the decimation factor           
+     * to process the next group of decimation factor number samples */
+    pState += S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = sum0;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+  /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  /* Copy numTaps number of values */
+  i = numTaps - 1U;
+
+  /* copy data */
+  while (i > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+}
+
+void ref_fir_decimate_q31(
+  const arm_fir_decimate_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                     /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+        q63_t sum0;                                    /* Accumulator */
+        uint32_t numTaps = S->numTaps;                 /* Number of taps */
+        uint32_t i, blkCnt;  													 /* Loop counters */
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + numTaps - 1U;
+
+  /* Total number of output samples to be computed */
+  blkCnt = blockSize / S->M;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0;
+
+		for(i=0;i<numTaps;i++)
+		{
+      /* Read coefficients */
+      c0 = pCoeffs[i];
+
+      /* Fetch 1 state variable */
+      x0 = pState[i];
+
+      /* Perform the multiply-accumulate */
+      sum0 += (q63_t)x0 * c0;
+		}
+
+    /* Advance the state pointer by the decimation factor           
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = (q31_t) (sum0 >> 31);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = numTaps - 1U;
+
+  /* copy data */
+  while (i > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+}
+
+void ref_fir_decimate_fast_q31(
+  const arm_fir_decimate_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                     /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+        q31_t sum0;                                    /* Accumulator */
+        uint32_t numTaps = S->numTaps;                 /* Number of taps */
+        uint32_t i, blkCnt;  													 /* Loop counters */
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + numTaps - 1U;
+
+  /* Total number of output samples to be computed */
+  blkCnt = blockSize / S->M;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0;
+
+		for(i=0;i<numTaps;i++)
+		{
+      /* Read coefficients */
+      c0 = pCoeffs[i];
+
+      /* Fetch 1 state variable */
+      x0 = pState[i];
+
+      /* Perform the multiply-accumulate */
+			sum0 = (q31_t)((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32);
+		}
+
+    /* Advance the state pointer by the decimation factor           
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = (q31_t) (sum0 << 1);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = numTaps - 1U;
+
+  /* copy data */
+  while (i > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+}
+
+void ref_fir_decimate_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+        q63_t sum0;                                    /* Accumulator */
+        uint32_t numTaps = S->numTaps;                 /* Number of taps */
+        uint32_t i, blkCnt;  													 /* Loop counters */
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + numTaps - 1U;
+
+  /* Total number of output samples to be computed */
+  blkCnt = blockSize / S->M;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0;
+
+		for(i=0;i<numTaps;i++)
+		{
+      /* Read coefficients */
+      c0 = pCoeffs[i];
+
+      /* Fetch 1 state variable */
+      x0 = pState[i];
+
+      /* Perform the multiply-accumulate */
+      sum0 += (q31_t)x0 * c0;
+		}
+
+    /* Advance the state pointer by the decimation factor           
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = ref_sat_q15(sum0 >> 15);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = numTaps - 1U;
+
+  /* copy data */
+  while (i > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+}
+
+void ref_fir_decimate_fast_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q15_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+        q31_t sum0;                                    /* Accumulator */
+        uint32_t numTaps = S->numTaps;                 /* Number of taps */
+        uint32_t i, blkCnt;  													 /* Loop counters */
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + numTaps - 1U;
+
+  /* Total number of output samples to be computed */
+  blkCnt = blockSize / S->M;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0;
+
+		for(i=0;i<numTaps;i++)
+		{
+      /* Read coefficients */
+      c0 = pCoeffs[i];
+
+      /* Fetch 1 state variable */
+      x0 = pState[i];
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+		}
+
+    /* Advance the state pointer by the decimation factor           
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = ref_sat_q15(sum0 >> 15);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last numTaps - 1 samples to the start of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = numTaps - 1U;
+
+  /* copy data */
+  while (i > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+}
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir_interpolate.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir_interpolate.c
new file mode 100644
index 0000000..4341621
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir_interpolate.c
@@ -0,0 +1,291 @@
+#include "ref.h"
+
+void ref_fir_interpolate_f32(
+  const arm_fir_interpolate_instance_f32 * S,
+        float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+        float32_t *ptr1;                               /* Temporary pointer for state buffer */
+  const float32_t *ptr2;                               /* Temporary pointer for coefficient buffer */
+        float32_t sum;                                 /* Accumulator */
+        uint32_t i, blkCnt;                            /* Loop counters */
+        uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
+
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + phaseLen - 1;
+
+  /* Total number of intput samples */
+  blkCnt = blockSize;
+
+  /* Loop over the blockSize. */
+  while (blkCnt > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      sum = 0.0f;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + i - 1;
+
+      /* Loop over the polyPhase length */
+      tapCnt = phaseLen;
+
+      while (tapCnt > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *ptr1++ * *ptr2;
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = sum;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1           
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last phaseLen - 1 samples to the start of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  tapCnt = phaseLen - 1U;
+
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+}
+
+void ref_fir_interpolate_q31(
+  const arm_fir_interpolate_instance_q31 * S,
+        q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                     /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q31_t *ptr1;                                   /* Temporary pointer for state buffer */
+  const q31_t *ptr2;                                   /* Temporary pointer for coefficient buffer */
+        q63_t sum;                                     /* Accumulator */
+        q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+        uint32_t i, blkCnt;                            /* Loop counters */
+        uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
+
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (q31_t)phaseLen - 1;
+
+  /* Total number of intput samples */
+  blkCnt = blockSize;
+
+  /* Loop over the blockSize. */
+  while (blkCnt > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      sum = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + i - 1;
+
+      tapCnt = phaseLen;
+
+      while (tapCnt > 0U)
+      {
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *ptr1++;
+
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) x0 *c0;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = (q31_t)(sum >> 31);
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1           
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  tapCnt = phaseLen - 1U;
+
+  /* copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+}
+
+void ref_fir_interpolate_q15(
+  const arm_fir_interpolate_instance_q15 * S,
+        q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer                                            */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer                                      */
+        q15_t *pStateCurnt;                            /* Points to the current sample of the state                */
+        q15_t *ptr1;                                   /* Temporary pointer for state buffer */
+  const q15_t *ptr2;                                   /* Temporary pointer for coefficient buffer */
+        q63_t sum;                                     /* Accumulator */
+        q15_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+        uint32_t i, blkCnt, tapCnt;                    /* Loop counters                                            */
+        uint16_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
+
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + phaseLen - 1;
+
+  /* Total number of intput samples */
+  blkCnt = blockSize;
+
+  /* Loop over the blockSize. */
+  while (blkCnt > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      sum = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + i - 1;
+
+      /* Loop over the polyPhase length */
+      tapCnt = (uint32_t)phaseLen;
+
+      while (tapCnt > 0U)
+      {
+        /* Read the coefficient */
+        c0 = *ptr2;
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0 = *ptr1++;
+
+        /* Perform the multiply-accumulate */
+        sum += (q31_t) x0 * c0;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* Store the result after converting to 1.15 format in the destination buffer */
+      *pDst++ = ref_sat_q15(sum >> 15);
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1           
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.         
+   ** Now copy the last phaseLen - 1 samples to the start of the state buffer.       
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = (uint32_t) phaseLen - 1U;
+
+  while (i > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir_lattice.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir_lattice.c
new file mode 100644
index 0000000..d04d560
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir_lattice.c
@@ -0,0 +1,241 @@
+#include "ref.h"
+
+void ref_fir_lattice_f32(
+  const arm_fir_lattice_instance_f32 * S,
+        float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        float32_t *pState;                             /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *px;                                 /* temporary state pointer */
+  const float32_t *pk;                                 /* temporary coefficient pointer */
+        float32_t fcurr, fnext, gcurr, gnext;          /* temporary variables */
+        uint32_t numStages = S->numStages;             /* Length of the filter */
+        uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
+
+  pState = &S->pState[0];
+
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* f0(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize coeff pointer */
+    pk = pCoeffs;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* read g0(n-1) from state buffer */
+    gcurr = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext = fcurr + ((*pk) * gcurr);
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext = (fcurr * (*pk++)) + gcurr;
+
+    /* save f0(n) in state buffer */
+    *px++ = fcurr;
+
+    /* f1(n) is saved in fcurr            
+       for next stage processing */
+    fcurr = fnext;
+
+    stageCnt = (numStages - 1U);
+
+    /* stage loop */
+    while (stageCnt > 0U)
+    {
+      /* read g2(n) from state buffer */
+      gcurr = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext = fcurr + ((*pk) * gcurr);
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext = (fcurr * (*pk++)) + gcurr;
+
+      /* f1(n) is saved in fcurr1            
+         for next stage processing */
+      fcurr = fnext;
+
+      stageCnt--;
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr;
+
+    blkCnt--;
+  }
+}
+
+void ref_fir_lattice_q31(
+  const arm_fir_lattice_instance_q31 * S,
+        q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        q31_t *pState;                                 /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *px;                                     /* temporary state pointer */
+  const q31_t *pk;                                     /* temporary coefficient pointer */
+        q31_t fcurr, fnext, gcurr, gnext;              /* temporary variables */
+        uint32_t numStages = S->numStages;             /* Length of the filter */
+        uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
+
+  pState = &S->pState[0];
+
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* f0(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize coeff pointer */
+    pk = pCoeffs;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* read g0(n-1) from state buffer */
+    gcurr = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext = (q31_t) (((q63_t) gcurr * (*pk)) >> 31) + fcurr;
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext = (q31_t) (((q63_t) fcurr * (*pk++)) >> 31) + gcurr;
+    /* save g1(n) in state buffer */
+    *px++ = fcurr;
+
+    /* f1(n) is saved in fcurr1            
+       for next stage processing */
+    fcurr = fnext;
+
+    stageCnt = (numStages - 1U);
+
+    /* stage loop */
+    while (stageCnt > 0U)
+    {
+      /* read g2(n) from state buffer */
+      gcurr = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext = (q31_t) (((q63_t) gcurr * (*pk)) >> 31) + fcurr;
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext = (q31_t) (((q63_t) fcurr * (*pk++)) >> 31) + gcurr;
+
+      /* f1(n) is saved in fcurr1            
+         for next stage processing */
+      fcurr = fnext;
+
+      stageCnt--;
+
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr;
+
+    blkCnt--;
+
+  }
+}
+
+void ref_fir_lattice_q15(
+  const arm_fir_lattice_instance_q15 * S,
+        q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        q15_t *pState;                                 /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *px;                                     /* temporary state pointer */
+  const q15_t *pk;                                     /* temporary coefficient pointer */
+        q31_t fcurnt, fnext, gcurnt, gnext;            /* temporary variables */
+        uint32_t numStages = S->numStages;             /* Length of the filter */
+        uint32_t blkCnt, stageCnt;                     /* temporary variables for counts */
+
+  pState = &S->pState[0];
+
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* f0(n) = x(n) */
+    fcurnt = *pSrc++;
+
+    /* Initialize coeff pointer */
+    pk = (pCoeffs);
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* read g0(n-1) from state buffer */
+    gcurnt = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext = ((gcurnt * (*pk)) >> 15U) + fcurnt;
+    fnext = ref_sat_q15(fnext);
+
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext = ((fcurnt * (*pk++)) >> 15U) + gcurnt;
+    gnext = ref_sat_q15(gnext);
+
+    /* save f0(n) in state buffer */
+    *px++ = (q15_t) fcurnt;
+
+    /* f1(n) is saved in fcurnt            
+       for next stage processing */
+    fcurnt = fnext;
+
+    stageCnt = (numStages - 1U);
+
+    /* stage loop */
+    while (stageCnt > 0U)
+    {
+      /* read g1(n-1) from state buffer */
+      gcurnt = *px;
+
+      /* save g0(n-1) in state buffer */
+      *px++ = (q15_t) gnext;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext = ((gcurnt * (*pk)) >> 15U) + fcurnt;
+      fnext = ref_sat_q15(fnext);
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext = ((fcurnt * (*pk++)) >> 15U) + gcurnt;
+      gnext = ref_sat_q15(gnext);
+
+
+      /* f1(n) is saved in fcurnt            
+         for next stage processing */
+      fcurnt = fnext;
+
+      stageCnt--;
+
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = ref_sat_q15(fcurnt);
+
+
+    blkCnt--;
+
+  }
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir_sparse.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir_sparse.c
new file mode 100644
index 0000000..73f074c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/fir_sparse.c
@@ -0,0 +1,485 @@
+#include "ref.h"
+
+void ref_fir_sparse_f32(
+        arm_fir_sparse_instance_f32 * S,
+        float32_t * pSrc,
+        float32_t * pDst,
+        float32_t * pScratchIn,
+        uint32_t blockSize)
+{
+        float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *px;                                 /* Scratch buffer pointer */
+        float32_t *py = pState;                        /* Temporary pointers for state buffer */
+        float32_t *pb = pScratchIn;                    /* Temporary pointers for scratch buffer */
+        float32_t *pOut;                               /* Destination pointer */
+        int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
+        uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
+        uint16_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter  */
+        int32_t readIndex;                             /* Read index of the state buffer */
+        uint32_t tapCnt, blkCnt;                       /* loop counters */
+        float32_t coeff = *pCoeffs++;                  /* Read the first coefficient value */
+
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1,
+                        (int32_t *) pSrc, 1, blockSize);
+
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if (readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                       (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+                       blockSize);
+
+  /* Working pointer for the scratch buffer */
+  px = pb;
+
+  /* Working pointer for destination buffer */
+  pOut = pDst;
+
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiplications and store in destination buffer */
+    *pOut++ = *px++ * coeff;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 1U;
+
+  while (tapCnt > 0U)
+  {
+    /* Load the coefficient value and
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if (readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+                         blockSize);
+
+    /* Working pointer for the scratch buffer */
+    px = pb;
+
+    /* Working pointer for destination buffer */
+    pOut = pDst;
+
+    blkCnt = blockSize;
+
+    while (blkCnt > 0U)
+    {
+      /* Perform Multiply-Accumulate */
+      *pOut++ += *px++ * coeff;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Decrement the tap loop counter */
+    tapCnt--;
+  }
+}
+
+void ref_fir_sparse_q31(
+        arm_fir_sparse_instance_q31 * S,
+        q31_t * pSrc,
+        q31_t * pDst,
+        q31_t * pScratchIn,
+        uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                     /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *px;                                     /* Scratch buffer pointer */
+        q31_t *py = pState;                            /* Temporary pointers for state buffer */
+        q31_t *pb = pScratchIn;                        /* Temporary pointers for scratch buffer */
+        q31_t *pOut;                                   /* Destination pointer */
+        q63_t out;                                     /* Temporary output variable */
+        int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
+        uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
+        uint16_t numTaps = S->numTaps;                 /* Filter order */
+        int32_t readIndex;                             /* Read index of the state buffer */
+        uint32_t tapCnt, blkCnt;                       /* loop counters */
+        q31_t coeff = *pCoeffs++;                      /* Read the first coefficient value */
+        q31_t in;
+
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1,
+                        (int32_t *) pSrc, 1, blockSize);
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if (readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                       (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+                       blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pOut = pDst;
+  
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiplications and store in the destination buffer */
+    *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 1U;
+
+  while (tapCnt > 0U)
+  {
+    /* Load the coefficient value and           
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if (readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                         (int32_t *) pb, (int32_t *) pb, blockSize, 1,
+                         blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pOut = pDst;
+
+    blkCnt = blockSize;
+
+    while (blkCnt > 0U)
+    {
+      /* Perform Multiply-Accumulate */
+      out = *pOut;
+      out += ((q63_t) * px++ * coeff) >> 32;
+      *pOut++ = (q31_t) (out);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Decrement the tap loop counter */
+    tapCnt--;
+  }
+
+  /* Working output pointer is updated */
+  pOut = pDst;
+
+  /* Output is converted into 1.31 format. */
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    in = *pOut << 1;
+    *pOut++ = in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+void ref_fir_sparse_q15(
+        arm_fir_sparse_instance_q15 * S,
+        q15_t * pSrc,
+        q15_t * pDst,
+        q15_t * pScratchIn,
+        q31_t * pScratchOut,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pIn = pSrc;                             /* Working pointer for input */
+        q15_t *pOut = pDst;                            /* Working pointer for output */
+        q15_t *px;                                     /* Temporary pointers for scratch buffer */
+        q15_t *pb = pScratchIn;                        /* Temporary pointers for scratch buffer */
+        q15_t *py = pState;                            /* Temporary pointers for state buffer */
+        int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
+        uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
+        uint16_t numTaps = S->numTaps;                 /* Filter order */
+        int32_t readIndex;                             /* Read index of the state buffer */
+        uint32_t tapCnt, blkCnt;                       /* loop counters */
+        q15_t coeff = *pCoeffs++;                      /* Read the first coefficient value */
+        q31_t *pScr2 = pScratchOut;                    /* Working pointer for pScratchOut */
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_q15(py, delaySize, &S->stateIndex, 1, pIn, 1, blockSize);
+
+  /* Loop over the number of taps. */
+  tapCnt = numTaps;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if (readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_q15(py, delaySize, &readIndex, 1,
+                       pb, pb, blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pScratchOut = pScr2;
+
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Perform multiplication and store in the scratch buffer */
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 1U;
+
+  while (tapCnt > 0U)
+  {
+    /* Load the coefficient value and           
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = (S->stateIndex - blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if (readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_q15(py, delaySize, &readIndex, 1,
+                         pb, pb, blockSize, 1, blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pScratchOut = pScr2;
+
+    blkCnt = blockSize;
+
+    while (blkCnt > 0U)
+    {
+      /* Perform Multiply-Accumulate */
+      *pScratchOut++ += (q31_t) * px++ * coeff;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Decrement the tap loop counter */
+    tapCnt--;
+  }
+
+  /* All the output values are in pScratchOut buffer.       
+     Convert them into 1.15 format, saturate and store in the destination buffer. */
+  /* Loop over the blockSize. */
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16);
+    blkCnt--;
+  }
+}
+
+void ref_fir_sparse_q7(
+        arm_fir_sparse_instance_q7 * S,
+        q7_t *pSrc,
+        q7_t *pDst,
+        q7_t *pScratchIn,
+        q31_t * pScratchOut,
+        uint32_t blockSize)
+{
+        q7_t *pState = S->pState;                      /* State pointer */
+  const q7_t *pCoeffs = S->pCoeffs;                    /* Coefficient pointer */
+        q7_t *px;                                      /* Scratch buffer pointer */
+        q7_t *py = pState;                             /* Temporary pointers for state buffer */
+        q7_t *pb = pScratchIn;                         /* Temporary pointers for scratch buffer */
+        q7_t *pOut = pDst;                             /* Destination pointer */
+        int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
+        uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
+        uint16_t numTaps = S->numTaps;                 /* Filter order */
+        int32_t readIndex;                             /* Read index of the state buffer */
+        uint32_t tapCnt, blkCnt;                       /* loop counters */
+        q7_t coeff = *pCoeffs++;                       /* Read the coefficient value */
+        q31_t *pScr2 = pScratchOut;                    /* Working pointer for scratch buffer of output values */
+        q31_t in;
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1,
+                       blockSize);
+
+  /* Loop over the number of taps. */
+  tapCnt = numTaps;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if (readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
+                      (int32_t) blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pScratchOut = pScr2;
+
+  /* Loop over the blockSize */
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Perform multiplication and store in the scratch buffer */
+    *pScratchOut++ = ((q31_t) * px++ * coeff);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 1U;
+
+  while (tapCnt > 0U)
+  {
+    /* Load the coefficient value and           
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if (readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb,
+                        (int32_t) blockSize, 1, blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pScratchOut = pScr2;
+
+    /* Loop over the blockSize */
+    blkCnt = blockSize;
+
+    while (blkCnt > 0U)
+    {
+      /* Perform Multiply-Accumulate */
+      in = *pScratchOut + ((q31_t) * px++ * coeff);
+      *pScratchOut++ = in;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Decrement the tap loop counter */
+    tapCnt--;
+  }
+
+  /* All the output values are in pScratchOut buffer.       
+     Convert them into 1.15 format, saturate and store in the destination buffer. */
+  /* Loop over the blockSize. */
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/iir_lattice.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/iir_lattice.c
new file mode 100644
index 0000000..ab37d5f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/iir_lattice.c
@@ -0,0 +1,271 @@
+#include "ref.h"
+
+void ref_iir_lattice_f32(
+  const arm_iir_lattice_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t fcurr, fnext = 0, gcurr, gnext;      /* Temporary variables for lattice stages */
+  float32_t acc;                                 /* Accumlator */
+  uint32_t blkCnt, tapCnt;                       /* temporary variables for counts */
+  float32_t *px1, *px2, *pk, *pv;                /* temporary pointers for state and coef */
+  uint32_t numStages = S->numStages;             /* number of stages */
+  float32_t *pState;                             /* State pointer */
+  float32_t *pStateCurnt;                        /* State current pointer */
+
+  blkCnt = blockSize;
+  pState = &S->pState[0];
+
+  /* Sample processing */
+  while (blkCnt > 0U)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize state read pointer */
+    px1 = pState;
+    /* Initialize state write pointer */
+    px2 = pState;
+    /* Set accumulator to zero */
+    acc = 0.0f;
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+    /* Process sample for numStages */
+    tapCnt = numStages;
+
+    while (tapCnt > 0U)
+    {
+      gcurr = *px1++;
+      /* Process sample for last taps */
+      fnext = fcurr - (*pk) * gcurr;
+      gnext = fnext * (*pk++) + gcurr;
+
+      /* Output samples for last taps */
+      acc += gnext * (*pv++);
+      *px2++ = gnext;
+      fcurr = fnext;
+
+      /* Decrementing loop counter */
+      tapCnt--;
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += fnext * (*pv);
+
+    *px2++ = fnext;
+
+    /* write out into pDst */
+    *pDst++ = acc;
+
+    /* Advance the state pointer by 1 to process the next group of samples */
+    pState = pState + 1U;
+    blkCnt--;
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer           
+     for the preperation of next frame process */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  tapCnt = numStages;
+
+  /* Copy the data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+}
+
+void ref_iir_lattice_q31(
+  const arm_iir_lattice_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t fcurr, fnext = 0, gcurr = 0, gnext;      /* Temporary variables for lattice stages */
+  q63_t acc;                                     /* Accumlator */
+  uint32_t blkCnt, tapCnt;                       /* Temporary variables for counts */
+  q31_t *px1, *px2, *pk, *pv;                    /* Temporary pointers for state and coef */
+  uint32_t numStages = S->numStages;             /* number of stages */
+  q31_t *pState;                                 /* State pointer */
+  q31_t *pStateCurnt;                            /* State current pointer */
+
+  blkCnt = blockSize;
+  pState = &S->pState[0];
+
+  /* Sample processing */
+  while (blkCnt > 0U)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize state read pointer */
+    px1 = pState;
+    /* Initialize state write pointer */
+    px2 = pState;
+    /* Set accumulator to zero */
+    acc = 0;
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+    tapCnt = numStages;
+
+    while (tapCnt > 0U)
+    {
+      gcurr = *px1++;
+      /* Process sample */
+      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+      fnext =
+        ref_sat_q31(((q63_t) fcurr -
+                         ((q31_t) (((q63_t) gcurr * (*pk)) >> 31))));
+      /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+      gnext =
+        ref_sat_q31(((q63_t) gcurr +
+                         ((q31_t) (((q63_t) fnext * (*pk++)) >> 31))));
+      /* Output samples */
+      /* y(n) += gN(n) * vN  */
+      acc += ((q63_t) gnext * *pv++);
+      /* write gN-1(n-1) into state for next sample processing */
+      *px2++ = gnext;
+      /* Update f values for next coefficient processing */
+      fcurr = fnext;
+
+      tapCnt--;
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += (q63_t) fnext *(*pv++);
+
+    *px2++ = fnext;
+
+    /* write out into pDst */
+    *pDst++ = (q31_t) (acc >> 31U);
+
+    /* Advance the state pointer by 1 to process the next group of samples */
+    pState = pState + 1U;
+    blkCnt--;
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer           
+     for the preperation of next frame process */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  tapCnt = numStages;
+
+  /* Copy the remaining q31_t data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+}
+
+void ref_iir_lattice_q15(
+  const arm_iir_lattice_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  q31_t fcurr, fnext = 0, gcurr = 0, gnext;      /* Temporary variables for lattice stages */
+  uint32_t stgCnt;                               /* Temporary variables for counts */
+  q63_t acc;                                     /* Accumlator */
+  uint32_t blkCnt, tapCnt;                       /* Temporary variables for counts */
+  q15_t *px1, *px2, *pk, *pv;                    /* temporary pointers for state and coef */
+  uint32_t numStages = S->numStages;             /* number of stages */
+  q15_t *pState;                                 /* State pointer */
+  q15_t *pStateCurnt;                            /* State current pointer */
+  q15_t out;                                     /* Temporary variable for output */
+
+  blkCnt = blockSize;
+  pState = &S->pState[0];
+
+  /* Sample processing */
+  while (blkCnt > 0U)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize state read pointer */
+    px1 = pState;
+    /* Initialize state write pointer */
+    px2 = pState;
+    /* Set accumulator to zero */
+    acc = 0;
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+    tapCnt = numStages;
+
+    while (tapCnt > 0U)
+    {
+      gcurr = *px1++;
+      /* Process sample */
+      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+      fnext = fcurr - ((gcurr * (*pk)) >> 15);
+      fnext = ref_sat_q15(fnext);
+      /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+      gnext = ((fnext * (*pk++)) >> 15) + gcurr;
+      gnext = ref_sat_q15(gnext);
+      /* Output samples */
+      /* y(n) += gN(n) * vN */
+      acc += (q31_t) ((gnext * (*pv++)));
+      /* write gN(n) into state for next sample processing */
+      *px2++ = (q15_t) gnext;
+      /* Update f values for next coefficient processing */
+      fcurr = fnext;
+
+      tapCnt--;
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += (q31_t) ((fnext * (*pv++)));
+
+    out = ref_sat_q15(acc >> 15);
+    *px2++ = (q15_t) fnext;
+
+    /* write out into pDst */
+    *pDst++ = out;
+
+    /* Advance the state pointer by 1 to process the next group of samples */
+    pState = pState + 1U;
+    blkCnt--;
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer           
+     for the preperation of next frame process */
+  /* Points to the start of the state buffer */
+  pStateCurnt = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  stgCnt = numStages;
+
+  /* copy data */
+  while (stgCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    stgCnt--;
+  }
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/lms.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/lms.c
new file mode 100644
index 0000000..fee99f9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/FilteringFunctions/lms.c
@@ -0,0 +1,695 @@
+#include "ref.h"
+
+void ref_lms_f32(
+  const arm_lms_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pRef,
+  float32_t * pOut,
+  float32_t * pErr,
+  uint32_t blockSize)
+{
+  float32_t *pState = S->pState;                 /* State pointer */
+  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+  float32_t mu = S->mu;                          /* Adaptive factor */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t i, blkCnt;                     			 /* Loop counters */
+  float32_t sum, e, d;                           /* accumulator, error, reference data sample */
+  float32_t w = 0.0f;                            /* weight factor */
+
+  e = 0.0f;
+  d = 0.0f;
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[numTaps - 1U]);
+
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    sum = 0.0f;
+		
+		for(i=0;i<numTaps;i++)
+		{ /* Perform the multiply-accumulate */
+      sum += pState[i] * pCoeffs[i];
+		}
+
+    /* The result is stored in the destination buffer. */
+    *pOut++ = sum;
+
+    /* Compute and store error */
+    d = *pRef++;
+    e = d - sum;
+    *pErr++ = e;
+
+    /* Weighting factor for the LMS version */
+    w = e * mu;
+		
+		for(i=0;i<numTaps;i++)
+		{ /* Perform the multiply-accumulate */
+      pCoeffs[i] += w * pState[i];
+		}
+
+    /* Advance state pointer by 1 for the next sample */
+    pState++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
+   * start of the state buffer. This prepares the state buffer for the        
+   * next function call. */
+	for(i=0;i<numTaps-1;i++)
+  {
+    S->pState[i] = pState[i];
+  }
+}
+
+void ref_lms_norm_f32(
+  arm_lms_norm_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pRef,
+  float32_t * pOut,
+  float32_t * pErr,
+  uint32_t blockSize)
+{
+  float32_t *pState = S->pState;                 /* State pointer */
+  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+  float32_t mu = S->mu;                          /* Adaptive factor */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t i, blkCnt;                    				 /* Loop counters */
+  float32_t energy;                              /* Energy of the input */
+  float32_t sum, e, d;                           /* accumulator, error, reference data sample */
+  float32_t w, x0, in;                           /* weight factor, temporary variable to hold input sample and state */
+
+  /* Initializations of error,  difference, Coefficient update */
+  e = 0.0f;
+  d = 0.0f;
+  w = 0.0f;
+
+  energy = S->energy;
+  x0 = S->x0;
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[numTaps - 1U]);
+
+  for(blkCnt = blockSize; blkCnt > 0U; blkCnt--)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy -= x0 * x0;
+    energy += in * in;
+
+    /* Set the accumulator to zero */
+    sum = 0.0f;
+		
+		for(i=0;i<numTaps;i++)
+		{ /* Perform the multiply-accumulate */
+      sum += pState[i] * pCoeffs[i];
+		}
+
+    /* The result in the accumulator is stored in the destination buffer. */
+    *pOut++ = sum;
+
+    /* Compute and store error */
+    d = *pRef++;
+    e = d - sum;
+    *pErr++ = e;
+
+    /* Calculation of Weighting factor for updating filter coefficients */
+    /* epsilon value 0.000000119209289f */
+    w = e * mu / (energy + 0.000000119209289f);
+
+		for(i=0;i<numTaps;i++)
+    {
+      /* Perform the multiply-accumulate */
+      pCoeffs[i] += w * pState[i];
+    }
+
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState++;
+  }
+
+  S->energy = energy;
+  S->x0 = x0;
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
+   * start of the state buffer. This prepares the state buffer for the        
+   * next function call. */
+	for(i=0;i<numTaps-1;i++)
+  {
+    S->pState[i] = pState[i];
+  }
+}
+
+void ref_lms_q31(
+  const arm_lms_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pRef,
+  q31_t * pOut,
+  q31_t * pErr,
+  uint32_t blockSize)
+{
+  q31_t *pState = S->pState;                     /* State pointer */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q31_t mu = S->mu;                              /* Adaptive factor */
+  q31_t *px;                                     /* Temporary pointer for state */
+  q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+  q63_t acc;                                     /* Accumulator */
+  q31_t e = 0;                                   /* error of data sample */
+  q31_t alpha;                                   /* Intermediate constant for taps update */
+  q31_t coef;                                    /* Temporary variable for coef */
+  q31_t acc_l, acc_h;                            /*  temporary input */
+  uint32_t uShift = (uint32_t)S->postShift + 1;
+  uint32_t lShift = 32U - uShift;                /*  Shift to be applied to the output */
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+  for(blkCnt = blockSize; blkCnt > 0U; blkCnt--)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (q63_t)(*px++) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Converting the result to 1.31 format */
+    /* Store the result from accumulator into the destination buffer. */
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    acc = (uint32_t)acc_l >> lShift | acc_h << uShift;
+
+    *pOut++ = (q31_t)acc;
+
+    /* Compute and store error */
+    e = *pRef++ - (q31_t)acc;
+
+    *pErr++ = (q31_t)e;
+
+    /* Weighting factor for the LMS version */
+    alpha = (q31_t)(((q63_t)e * mu) >> 31);
+
+    /* Initialize pState pointer */
+    /* Advance state pointer by 1 for the next sample */
+    px = pState++;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      coef = (q31_t)(((q63_t) alpha * (*px++)) >> 32);
+      *pb = ref_sat_q31((q63_t)*pb + (coef << 1));
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+  }
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the     
+     start of the state buffer. This prepares the state buffer for the   
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /*  Copy (numTaps - 1U) samples  */
+  tapCnt = numTaps - 1;
+
+  /* Copy the data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+}
+
+void ref_lms_norm_q31(
+  arm_lms_norm_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pRef,
+  q31_t * pOut,
+  q31_t * pErr,
+  uint32_t blockSize)
+{
+  q31_t *pState = S->pState;                     /* State pointer */
+  q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q31_t *px, *pb;                                /* Temporary pointers for state and coefficient buffers */
+  q31_t mu = S->mu;                              /* Adaptive factor */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+  q63_t energy;                                  /* Energy of the input */
+  q63_t acc;                                     /* Accumulator */
+  q31_t e = 0, d = 0;                            /* error, reference data sample */
+  q31_t w = 0, in;                               /* weight factor and state */
+  q31_t x0;                                      /* temporary variable to hold input sample */   
+  q63_t errorXmu;                   				 /* Temporary variables to store error and mu product and reciprocal of energy */
+  q31_t coef;                                    /* Temporary variable for coef */
+  q31_t acc_l, acc_h;                            /*  temporary input */
+  uint32_t uShift = ((uint32_t) S->postShift + 1U);
+  uint32_t lShift = 32U - uShift;                /*  Shift to be applied to the output */
+
+  energy = S->energy;
+  x0 = S->x0;
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+  for(blkCnt = blockSize; blkCnt > 0U; blkCnt--)
+  {
+
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy = (q31_t)((((q63_t)energy << 32) - (((q63_t)x0 * x0) << 1)) >> 32) & 0xffffffff;
+    energy = (q31_t)(((((q63_t)in * in) << 1) + ((q63_t)energy << 32)) >> 32) & 0xffffffff;
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Converting the result to 1.31 format */
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    acc = (uint32_t)acc_l >> lShift | acc_h << uShift;
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q31_t)acc;
+
+    /* Compute and store error */
+    d = *pRef++;
+    e = d - (q31_t)acc;
+    *pErr++ = e;
+
+    /* Calculation of product of (e * mu) */
+    errorXmu = (q63_t)e * mu;
+
+    /* Weighting factor for the normalized version */
+    w = ref_sat_q31(errorXmu / (energy + DELTA_Q31));
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* coef is in 2.30 format */
+      coef = (q31_t)(((q63_t)w * (*px++)) >> 32);
+      /* get coef in 1.31 format by left shifting */
+      *pb = ref_sat_q31((q63_t)*pb + (coef << 1U));
+      /* update coefficient buffer to next coefficient */
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Read the sample from state buffer */
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState++;
+  }
+
+  /* Save energy and x0 values for the next frame */
+  S->energy = (q31_t)energy;
+  S->x0 = x0;
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the     
+     start of the state buffer. This prepares the state buffer for the        
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* Loop for (numTaps - 1U) samples copy */
+  tapCnt = numTaps - 1;
+
+  /* Copy the remaining q31_t data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+}
+
+void ref_lms_q15(
+  const arm_lms_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pRef,
+  q15_t * pOut,
+  q15_t * pErr,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q15_t mu = S->mu;                              /* Adaptive factor */
+  q15_t *px;                                     /* Temporary pointer for state */
+  q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+  q63_t acc;                                     /* Accumulator */
+  q15_t e = 0;                                   /* error of data sample */
+  q15_t alpha;                                   /* Intermediate constant for taps update */
+  q31_t coef;                                    /* Teporary variable for coefficient */
+  q31_t acc_l, acc_h;
+  int32_t lShift = 15 - (int32_t)S->postShift;   /*  Post shift  */
+  int32_t uShift = 32 - lShift;
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+  for(blkCnt = blockSize; blkCnt > 0U; blkCnt--)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (q63_t)((q31_t)(*px++) * (*pb++));
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    /* Apply shift for lower part of acc and upper part of acc */
+    acc = (uint32_t)acc_l >> lShift | acc_h << uShift;
+
+    /* Converting the result to 1.15 format and saturate the output */
+    acc = ref_sat_q15(acc);
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q15_t)acc;
+
+    /* Compute and store error */
+    e = *pRef++ - (q15_t)acc;
+
+    *pErr++ = (q15_t)e;
+
+    /* Compute alpha i.e. intermediate constant for taps update */
+    alpha = (q15_t)(((q31_t)e * mu) >> 15);
+
+    /* Initialize pState pointer */
+    /* Advance state pointer by 1 for the next sample */
+    px = pState++;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) ref_sat_q15(coef);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+  }
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
+     start of the state buffer. This prepares the state buffer for the   
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /*  Copy (numTaps - 1U) samples  */
+  tapCnt = numTaps - 1;
+
+  /* Copy the data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+}
+
+void ref_lms_norm_q15(
+  arm_lms_norm_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pRef,
+  q15_t * pOut,
+  q15_t * pErr,
+  uint32_t blockSize)
+{
+  q15_t *pState = S->pState;                     /* State pointer */
+  q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+  q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+  q15_t *px, *pb;                                /* Temporary pointers for state and coefficient buffers */
+  q15_t mu = S->mu;                              /* Adaptive factor */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+  q31_t energy;                                  /* Energy of the input */
+  q63_t acc;                                     /* Accumulator */
+  q15_t e = 0, d = 0;                            /* error, reference data sample */
+  q15_t w = 0, in;                               /* weight factor and state */
+  q15_t x0;                                      /* temporary variable to hold input sample */
+  q15_t errorXmu, oneByEnergy;                   /* Temporary variables to store error and mu product and reciprocal of energy */
+  //q31_t errorXmu;                   				 /* Temporary variables to store error and mu product and reciprocal of energy */
+  q15_t postShift;                               /* Post shift to be applied to weight after reciprocal calculation */
+  q31_t coef;                                    /* Teporary variable for coefficient */
+  q31_t acc_l, acc_h;
+  int32_t lShift = 15 - (int32_t)S->postShift;  /*  Post shift  */
+  int32_t uShift = 32 - lShift;
+
+  energy = S->energy;
+  x0 = S->x0;
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+  for(blkCnt = blockSize; blkCnt > 0U; blkCnt--)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize pCoeffs pointer */
+    pb = pCoeffs;
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy -= (((q31_t)x0 * x0) >> 15) & 0xffff;
+    energy += (((q31_t)in * in) >> 15) & 0xffff;
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (q31_t)*px++ * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    /* Apply shift for lower part of acc and upper part of acc */
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+    /* Converting the result to 1.15 format and saturate the output */
+    acc = ref_sat_q15(acc);
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q15_t) acc;
+
+    /* Compute and store error */
+    d = *pRef++;
+    e = d - (q15_t) acc;
+    *pErr++ = e;
+    
+#if 0
+    /* Calculation of e * mu value */
+    errorXmu = (q31_t) e * mu;
+
+    /* Calculation of (e * mu) /energy value */
+    acc = errorXmu / (energy + DELTA_Q15);
+#endif
+
+    /* Calculation of 1/energy */
+    postShift = arm_recip_q15((q15_t) energy + DELTA_Q15,
+                              &oneByEnergy, S->recipTable);
+
+    /* Calculation of e * mu value */
+    errorXmu = (q15_t) (((q31_t) e * mu) >> 15);
+
+    /* Calculation of (e * mu) * (1/energy) value */
+    acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift));
+    
+    /* Weighting factor for the normalized version */
+    w = ref_sat_q15((q31_t)acc);
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop over numTaps number of values */
+    tapCnt = numTaps;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      coef = *pb + (((q31_t)w * (*px++)) >> 15);
+      *pb++ = ref_sat_q15(coef);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Read the sample from state buffer */
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1U;
+  }
+
+  /* Save energy and x0 values for the next frame */
+  S->energy = (q15_t)energy;
+  S->x0 = x0;
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the        
+     satrt of the state buffer. This prepares the state buffer for the        
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* copy (numTaps - 1U) data */
+  tapCnt = numTaps - 1;
+
+  /* copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/HelperFunctions/HelperFunctions.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/HelperFunctions/HelperFunctions.c
new file mode 100644
index 0000000..557e969
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/HelperFunctions/HelperFunctions.c
@@ -0,0 +1,4 @@
+
+#include "mat_helper.c"
+#include "ref_helper.c"
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/HelperFunctions/mat_helper.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/HelperFunctions/mat_helper.c
new file mode 100644
index 0000000..0174ccf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/HelperFunctions/mat_helper.c
@@ -0,0 +1,193 @@
+#include "ref.h"
+
+float32_t ref_detrm(float32_t *pSrc, float32_t *temp, uint32_t size)
+{
+   float32_t s = 1, det = 0;
+   int i, j, m, n, c;
+
+   if ( size == 1 )
+   {
+      return ( pSrc[ 0 ] );
+   }
+   else
+   {
+      det = 0;
+
+      for ( c = 0;c < size;c++ )
+      {
+         m = 0;
+         n = 0;
+
+         for ( i = 0;i < size;i++ )
+         {
+            for ( j = 0;j < size;j++ )
+            {
+               temp[ i*size + j ] = 0;
+
+               if ( i != 0 && j != c )
+               {
+                  temp[ m*(size-1) + n ] = pSrc[ i*size + j ];
+
+                  if ( n < ( size - 2 ) )
+                  {
+                     n++;
+                  }
+                  else
+                  {
+                     n = 0;
+                     m++;
+                  }
+               }
+            }
+         }
+
+         det += s * ( pSrc[ c ] * ref_detrm( temp, temp + size*size, size - 1 ) );
+         s = -s;
+      }
+   }
+   
+   return ( det );
+}
+
+
+void ref_cofact(float32_t *pSrc, float32_t *pDst, float32_t *temp, uint32_t size)
+{
+   int p, q, m, n, i, j;
+	
+	 if (size == 1)
+	 {
+		 pDst[0] = 1;
+		 return;
+	 }
+
+   for ( q = 0;q < size;q++ )
+   {
+      for ( p = 0;p < size;p++ )
+      {
+         m = 0;
+         n = 0;
+
+         for ( i = 0;i < size;i++ )
+         {
+            for ( j = 0;j < size;j++ )
+            {
+               temp[ i*size + j ] = 0;
+
+               if ( i != q && j != p )
+               {
+                  temp[ m*(size-1) + n ] = pSrc[ i*size + j ];
+
+                  if ( n < ( size - 2 ) )
+									{
+										n++;
+									}
+                  else
+                  {
+                     n = 0;
+                     m++;
+                  }
+               }
+            }
+         }
+
+         pDst[ q*size + p ] = ref_pow( -1, q + p ) * ref_detrm( temp, temp + (size-1)*(size-1), size - 1 );
+      }
+   }
+}
+
+
+
+float64_t ref_detrm64(float64_t *pSrc, float64_t *temp, uint32_t size)
+{
+   float64_t s = 1, det = 0;
+   int i, j, m, n, c;
+
+   if ( size == 1 )
+   {
+      return ( pSrc[ 0 ] );
+   }
+   else
+   {
+      det = 0;
+
+      for ( c = 0;c < size;c++ )
+      {
+         m = 0;
+         n = 0;
+
+         for ( i = 0;i < size;i++ )
+         {
+            for ( j = 0;j < size;j++ )
+            {
+               temp[ i*size + j ] = 0;
+
+               if ( i != 0 && j != c )
+               {
+                  temp[ m*(size-1) + n ] = pSrc[ i*size + j ];
+
+                  if ( n < ( size - 2 ) )
+                  {
+                     n++;
+                  }
+                  else
+                  {
+                     n = 0;
+                     m++;
+                  }
+               }
+            }
+         }
+
+         det += s * ( pSrc[ c ] * ref_detrm64( temp, temp + size*size, size - 1 ) );
+         s = -s;
+      }
+   }
+   
+   return ( det );
+}
+
+
+void ref_cofact64(float64_t *pSrc, float64_t *pDst, float64_t *temp, uint32_t size)
+{
+   int p, q, m, n, i, j;
+	
+	 if (size == 1)
+	 {
+		 pDst[0] = 1;
+		 return;
+	 }
+
+   for ( q = 0;q < size;q++ )
+   {
+      for ( p = 0;p < size;p++ )
+      {
+         m = 0;
+         n = 0;
+
+         for ( i = 0;i < size;i++ )
+         {
+            for ( j = 0;j < size;j++ )
+            {
+               temp[ i*size + j ] = 0;
+
+               if ( i != q && j != p )
+               {
+                  temp[ m*(size-1) + n ] = pSrc[ i*size + j ];
+
+                  if ( n < ( size - 2 ) )
+									{
+										n++;
+									}
+                  else
+                  {
+                     n = 0;
+                     m++;
+                  }
+               }
+            }
+         }
+
+         pDst[ q*size + p ] = ref_pow( -1, q + p ) * ref_detrm64( temp, temp + (size-1)*(size-1), size - 1 );
+      }
+   }
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/HelperFunctions/ref_helper.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/HelperFunctions/ref_helper.c
new file mode 100644
index 0000000..57ecf1b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/HelperFunctions/ref_helper.c
@@ -0,0 +1,103 @@
+#include "ref.h"
+
+float32_t scratchArray[8192*2]; 
+
+arm_cfft_instance_f32 ref_cfft_sR_f32_len8192 = { 8192, 0, 0, 0 };
+	
+q31_t ref_sat_n(q31_t num, uint32_t bits)
+{
+	int32_t posMax, negMin;
+	uint32_t i;
+
+	posMax = 1;
+	for (i = 0; i < (bits - 1); i++)
+	{
+		posMax = posMax * 2;
+	}
+
+	if (num > 0)
+	{
+		posMax = (posMax - 1);
+
+		if (num > posMax)
+		{
+			num = posMax;
+		}
+	}
+	else
+	{
+		negMin = -posMax;
+
+		if (num < negMin)
+		{
+			num = negMin;
+		}
+	}
+	return (num);
+}
+
+q31_t ref_sat_q31(q63_t num)
+{
+	if (num > (q63_t)INT_MAX)
+	{
+		return INT_MAX;
+	}
+	else if (num < (q63_t)0xffffffff80000000ll)
+	{
+		return INT_MIN;
+	}
+	else
+	{
+		return (q31_t)num;
+	}
+}
+
+q15_t ref_sat_q15(q31_t num)
+{
+	if (num > (q31_t)SHRT_MAX)
+	{
+		return SHRT_MAX;
+	}
+	else if (num < (q31_t)0xffff8000)
+	{
+		return SHRT_MIN;
+	}
+	else
+	{
+		return (q15_t)num;
+	}
+}
+
+q7_t ref_sat_q7(q15_t num)
+{
+	if (num > (q15_t)SCHAR_MAX)
+	{
+		return SCHAR_MAX;
+	}
+	else if (num < (q15_t)0xff80)
+	{
+		return SCHAR_MIN;
+	}
+	else
+	{
+		return (q7_t)num;
+	}
+}
+
+float32_t ref_pow(float32_t a, uint32_t b)
+{
+	uint32_t i;
+	float32_t r = a;
+	
+	for(i=1;i<b;i++) 
+	{
+		r *= a;
+	}
+	
+	if ( b == 0)
+	{
+		return 1;
+	}
+	
+	return r;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/Intrinsics/Intrinsics_.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/Intrinsics/Intrinsics_.c
new file mode 100644
index 0000000..1536829
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/Intrinsics/Intrinsics_.c
@@ -0,0 +1,3 @@
+
+#include "intrinsics.c"
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/Intrinsics/intrinsics.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/Intrinsics/intrinsics.c
new file mode 100644
index 0000000..7412adb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/Intrinsics/intrinsics.c
@@ -0,0 +1,238 @@
+#include "ref.h"
+
+q31_t ref__QADD8(q31_t x, q31_t y)
+{
+   q31_t sum;
+   q7_t r, s, t, u;
+
+   r = (q7_t) x;
+   s = (q7_t) y;
+
+   r = ref_sat_n((q31_t) (r + s), 8);
+   s = ref_sat_n(((q31_t) (((x << 16) >> 24) + ((y << 16) >> 24))), 8);
+   t = ref_sat_n(((q31_t) (((x << 8) >> 24) + ((y << 8) >> 24))), 8);
+   u = ref_sat_n(((q31_t) ((x >> 24) + (y >> 24))), 8);
+
+   sum =
+      (((q31_t) u << 24) & 0xFF000000) | (((q31_t) t << 16) & 0x00FF0000) |
+      (((q31_t) s << 8) & 0x0000FF00) | (r & 0x000000FF);
+
+   return sum;
+
+}
+
+q31_t ref__QSUB8(q31_t x, q31_t y)
+{
+   q31_t sum;
+   q31_t r, s, t, u;
+
+   r = (q7_t) x;
+   s = (q7_t) y;
+
+   r = ref_sat_n((r - s), 8);
+   s = ref_sat_n(((q31_t) (((x << 16) >> 24) - ((y << 16) >> 24))), 8) << 8;
+   t = ref_sat_n(((q31_t) (((x << 8) >> 24) - ((y << 8) >> 24))), 8) << 16;
+   u = ref_sat_n(((q31_t) ((x >> 24) - (y >> 24))), 8) << 24;
+
+   sum = (u & 0xFF000000) | (t & 0x00FF0000) | (s & 0x0000FF00) | (r & 0x000000FF);
+
+   return sum;
+}
+
+q31_t ref__QADD16(q31_t x, q31_t y)
+{
+   q31_t sum;
+   q31_t r, s;
+
+   r = (q15_t) x;
+   s = (q15_t) y;
+
+   r = ref_sat_q15(r + s);
+   s = (q31_t)ref_sat_q15(((q31_t) ((x >> 16) + (y >> 16)))) << 16;
+
+   sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
+
+   return sum;
+
+}
+
+q31_t ref__SHADD16(q31_t x, q31_t y)
+{
+   q31_t sum;
+   q31_t r, s;
+
+   r = (q15_t) x;
+   s = (q15_t) y;
+
+   r = (r + s) >> 1;
+   s = ((q31_t) (((x >> 16) + (y >> 16)) >> 1) << 16);
+
+   sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
+
+   return sum;
+
+}
+
+q31_t ref__QSUB16(q31_t x, q31_t y)
+{
+   q31_t sum;
+   q31_t r, s;
+
+   r = (q15_t) x;
+   s = (q15_t) y;
+
+   r = ref_sat_q15(r - s);
+   s = (q31_t)ref_sat_q15(((q31_t) ((x >> 16) - (y >> 16)))) << 16;
+
+   sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
+
+   return sum;
+}
+
+q31_t ref__SHSUB16(q31_t x, q31_t y)
+{
+   q31_t diff;
+   q31_t r, s;
+
+   r = (q15_t) x;
+   s = (q15_t) y;
+
+   r = ((r >> 1) - (s >> 1));
+   s = (((x >> 17) - (y >> 17)) << 16);
+
+   diff = (s & 0xFFFF0000) | (r & 0x0000FFFF);
+
+   return diff;
+}
+
+q31_t ref__QASX(q31_t x, q31_t y)
+{
+   q31_t sum = 0;
+	q31_t xL, xH, yL, yH;
+	
+   // extract bottom halfword and sign extend
+	xL = (q15_t)(x & 0xffff);
+   // extract bottom halfword and sign extend
+	yL = (q15_t)(y & 0xffff);
+   // extract top halfword and sign extend
+   xH = (q15_t)(x >> 16);
+   // extract top halfword and sign extend
+   yH = (q15_t)(y >> 16);
+   
+   sum = (((q31_t)ref_sat_q15(xH + yL )) << 16) |
+         (((q31_t)ref_sat_q15(xL - yH )) & 0xffff);
+
+   return sum;
+}
+
+q31_t ref__SHASX(q31_t x, q31_t y)
+{
+   q31_t sum;
+   q31_t r, s;
+
+   r = (q15_t) x;
+   s = (q15_t) y;
+
+    r = (r - (y >> 16)) / 2;
+    s = (((x >> 16) + s) << 15);
+
+   sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
+
+   return sum;
+}
+
+q31_t ref__QSAX(q31_t x, q31_t y)
+{
+   q31_t sum = 0;
+	q31_t xL, xH, yL, yH;
+	
+   // extract bottom halfword and sign extend
+	xL = (q15_t)(x & 0xffff);
+   // extract bottom halfword and sign extend
+	yL = (q15_t)(y & 0xffff);
+   // extract top halfword and sign extend
+   xH = (q15_t)(x >> 16);
+   // extract top halfword and sign extend
+   yH = (q15_t)(y >> 16);
+   
+   sum = (((q31_t)ref_sat_q15(xH - yL )) << 16) |
+         (((q31_t)ref_sat_q15(xL + yH )) & 0xffff);
+
+   return sum;
+}
+
+q31_t ref__SHSAX(q31_t x, q31_t y)
+{
+   q31_t sum;
+   q31_t r, s;
+
+   r = (q15_t) x;
+   s = (q15_t) y;
+
+    r = (r + (y >> 16)) / 2;
+    s = (((x >> 16) - s) << 15);
+
+   sum = (s & 0xFFFF0000) | (r & 0x0000FFFF);
+
+   return sum;
+}
+
+q31_t ref__SMUSDX(q31_t x, q31_t y)
+{
+   return ((q31_t) (((q15_t) x * (q15_t) (y >> 16)) - ((q15_t) (x >> 16) * (q15_t) y)));
+}
+
+q31_t ref__SMUADX(q31_t x, q31_t y)
+{
+   return ((q31_t) (((q15_t) x * (q15_t) (y >> 16)) + ((q15_t) (x >> 16) * (q15_t) y)));
+}
+
+q31_t ref__QADD(q31_t x, q31_t y)
+{
+   return ref_sat_q31((q63_t) x + y);
+}
+
+q31_t ref__QSUB(q31_t x, q31_t y)
+{
+   return ref_sat_q31((q63_t) x - y);
+}
+
+q31_t ref__SMLAD(q31_t x, q31_t y, q31_t sum)
+{
+   return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y));
+}
+
+q31_t ref__SMLADX(q31_t x, q31_t y, q31_t sum)
+{
+   return (sum + ((q15_t) (x >> 16) * (q15_t) (y)) + ((q15_t) x * (q15_t) (y >> 16)));
+}
+
+q31_t ref__SMLSDX(q31_t x, q31_t y, q31_t sum)
+{
+   return (sum - ((q15_t) (x >> 16) * (q15_t) (y)) + ((q15_t) x * (q15_t) (y >> 16)));
+}
+
+q63_t ref__SMLALD(q31_t x, q31_t y, q63_t sum)
+{
+   return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y));
+}
+
+q63_t ref__SMLALDX(q31_t x, q31_t y, q63_t sum)
+{
+   return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + ((q15_t) x * (q15_t) (y >> 16));
+}
+
+q31_t ref__SMUAD(q31_t x, q31_t y)
+{
+   return (((x >> 16) * (y >> 16)) + (((x << 16) >> 16) * ((y << 16) >> 16)));
+}
+
+q31_t ref__SMUSD(q31_t x, q31_t y)
+{
+   return (-((x >> 16) * (y >> 16)) + (((x << 16) >> 16) * ((y << 16) >> 16)));
+}
+
+q31_t ref__SXTB16(q31_t x)
+{
+   return ((((x << 24) >> 24) & 0x0000FFFF) | (((x << 8) >> 8) & 0xFFFF0000));
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/MatrixFunctions.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/MatrixFunctions.c
new file mode 100644
index 0000000..b285455
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/MatrixFunctions.c
@@ -0,0 +1,9 @@
+
+#include "mat_add.c"
+#include "mat_cmplx_mult.c"
+#include "mat_inverse.c"
+#include "mat_mult.c"
+#include "mat_scale.c"
+#include "mat_sub.c"
+#include "mat_trans.c"
+
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_add.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_add.c
new file mode 100644
index 0000000..a6e0067
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_add.c
@@ -0,0 +1,58 @@
+#include "ref.h"
+
+arm_status ref_mat_add_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+	uint32_t i;
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+
+	/* Total number of samples in the input matrix */
+	numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+	
+	for(i=0;i<numSamples;i++)
+	{
+		pDst->pData[i] = pSrcA->pData[i] + pSrcB->pData[i];
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_add_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst)
+{
+	uint32_t i;
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+
+	/* Total number of samples in the input matrix */
+	numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+	
+	for(i=0;i<numSamples;i++)
+	{
+		pDst->pData[i] = ref_sat_q31( (q63_t)pSrcA->pData[i] + pSrcB->pData[i]);
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_add_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst)
+{
+	uint32_t i;
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+
+	/* Total number of samples in the input matrix */
+	numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+	
+	for(i=0;i<numSamples;i++)
+	{
+		pDst->pData[i] = ref_sat_q15( (q31_t)pSrcA->pData[i] + pSrcB->pData[i]);
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_cmplx_mult.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_cmplx_mult.c
new file mode 100644
index 0000000..9364619
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_cmplx_mult.c
@@ -0,0 +1,118 @@
+#include "ref.h"
+
+arm_status ref_mat_cmplx_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+	uint32_t r,c,i,outR,outC,innerSize;
+	float32_t sumR,sumI;
+	float32_t a0,b0,c0,d0;
+	
+	outR = pSrcA->numRows;
+	outC = pSrcB->numCols;
+	innerSize = pSrcA->numCols;
+	
+	for(r=0;r<outR;r++)
+	{
+		for(c=0;c<outC;c++)
+		{
+			sumR = 0;
+			sumI = 0;
+			
+			for(i=0;i<innerSize;i++)
+			{
+				a0 = pSrcA->pData[2*(r*innerSize + i) + 0];
+				b0 = pSrcA->pData[2*(r*innerSize + i) + 1];
+				c0 = pSrcB->pData[2*(i*outC + c) + 0]; 
+				d0 = pSrcB->pData[2*(i*outC + c) + 1];	
+				
+				sumR += a0 * c0 - b0 * d0;
+				sumI += b0 * c0 + a0 * d0;
+			}
+			
+			pDst->pData[2*(r*outC + c) + 0] = sumR;
+			pDst->pData[2*(r*outC + c) + 1] = sumI;
+		}
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_cmplx_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst)
+{
+	uint32_t r,c,i,outR,outC,innerSize;
+	q63_t sumR,sumI;
+	q31_t a0,b0,c0,d0;
+	
+	outR = pSrcA->numRows;
+	outC = pSrcB->numCols;
+	innerSize = pSrcA->numCols;
+	
+	for(r=0;r<outR;r++)
+	{
+		for(c=0;c<outC;c++)
+		{
+			sumR = 0;
+			sumI = 0;
+			
+			for(i=0;i<innerSize;i++)
+			{
+				a0 = pSrcA->pData[2*(r*innerSize + i) + 0];
+				b0 = pSrcA->pData[2*(r*innerSize + i) + 1];
+				c0 = pSrcB->pData[2*(i*outC + c) + 0]; 
+				d0 = pSrcB->pData[2*(i*outC + c) + 1];	
+				
+				sumR += (q63_t)a0 * c0 - (q63_t)b0 * d0;
+				sumI += (q63_t)b0 * c0 + (q63_t)a0 * d0;
+			}
+			
+			pDst->pData[2*(r*outC + c) + 0] = ref_sat_q31(sumR >> 31);
+			pDst->pData[2*(r*outC + c) + 1] = ref_sat_q31(sumI >> 31);
+		}
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_cmplx_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst)
+{
+	uint32_t r,c,i,outR,outC,innerSize;
+	q63_t sumR,sumI;
+	q15_t a0,b0,c0,d0;
+	
+	outR = pSrcA->numRows;
+	outC = pSrcB->numCols;
+	innerSize = pSrcA->numCols;
+	
+	for(r=0;r<outR;r++)
+	{
+		for(c=0;c<outC;c++)
+		{
+			sumR = 0;
+			sumI = 0;
+			
+			for(i=0;i<innerSize;i++)
+			{
+				a0 = pSrcA->pData[2*(r*innerSize + i) + 0];
+				b0 = pSrcA->pData[2*(r*innerSize + i) + 1];
+				c0 = pSrcB->pData[2*(i*outC + c) + 0]; 
+				d0 = pSrcB->pData[2*(i*outC + c) + 1];	
+				
+				sumR += (q31_t)a0 * c0 - (q31_t)b0 * d0;
+				sumI += (q31_t)b0 * c0 + (q31_t)a0 * d0;
+			}
+			
+			pDst->pData[2*(r*outC + c) + 0] = ref_sat_q15(sumR >> 15);
+			pDst->pData[2*(r*outC + c) + 1] = ref_sat_q15(sumI >> 15);
+		}
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_inverse.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_inverse.c
new file mode 100644
index 0000000..74d3ccc
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_inverse.c
@@ -0,0 +1,57 @@
+#include "ref.h"
+
+arm_status ref_mat_inverse_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  arm_matrix_instance_f32 * pDst)
+{
+	float32_t det;
+	uint32_t i, size;
+	arm_matrix_instance_f32 tmp;
+	
+	tmp.numCols = pSrc->numCols;
+	tmp.numRows = pSrc->numRows;
+	tmp.pData = scratchArray;
+	
+	det = ref_detrm(pSrc->pData,scratchArray,pSrc->numCols);
+	
+	size = pSrc->numCols * pSrc->numCols;
+	
+	ref_cofact(pSrc->pData,scratchArray,scratchArray + size,pSrc->numCols);
+	
+	ref_mat_trans_f32(&tmp,pDst);	
+	
+	for(i=0;i<size;i++)
+	{
+		pDst->pData[i] /= det;
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_inverse_f64(
+  const arm_matrix_instance_f64 * pSrc,
+  arm_matrix_instance_f64 * pDst)
+{
+	float64_t det;
+	uint32_t i, size;
+	arm_matrix_instance_f64 tmp;
+	
+	tmp.numCols = pSrc->numCols;
+	tmp.numRows = pSrc->numRows;
+	tmp.pData = (float64_t*)scratchArray;
+	
+	det = ref_detrm64(pSrc->pData,(float64_t*)scratchArray,pSrc->numCols);
+	
+	size = pSrc->numCols * pSrc->numCols;
+	
+	ref_cofact64(pSrc->pData,(float64_t*)scratchArray,(float64_t*)scratchArray + size,pSrc->numCols);
+	
+	ref_mat_trans_f64(&tmp,pDst);	
+	
+	for(i=0;i<size;i++)
+	{
+		pDst->pData[i] /= det;
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_mult.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_mult.c
new file mode 100644
index 0000000..e9ef432
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_mult.c
@@ -0,0 +1,91 @@
+#include "ref.h"
+
+arm_status ref_mat_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+	uint32_t r,c,i,outR,outC,innerSize;
+	float32_t sum;
+	
+	outR = pSrcA->numRows;
+	outC = pSrcB->numCols;
+	innerSize = pSrcA->numCols;
+	
+	for(r=0;r<outR;r++)
+	{
+		for(c=0;c<outC;c++)
+		{
+			sum = 0;
+			
+			for(i=0;i<innerSize;i++)
+			{
+				sum += pSrcA->pData[r*innerSize + i] * pSrcB->pData[i*outC + c];
+			}
+			
+			pDst->pData[r*outC + c] = sum;
+		}
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst)
+{
+	uint32_t r,c,i,outR,outC,innerSize;
+	q63_t sum;
+	
+	outR = pSrcA->numRows;
+	outC = pSrcB->numCols;
+	innerSize = pSrcA->numCols;
+	
+	for(r=0;r<outR;r++)
+	{
+		for(c=0;c<outC;c++)
+		{
+			sum = 0;
+			
+			for(i=0;i<innerSize;i++)
+			{
+				sum += (q63_t)(pSrcA->pData[r*innerSize + i]) * pSrcB->pData[i*outC + c];
+			}
+			
+			pDst->pData[r*outC + c] = ref_sat_q31(sum >> 31);
+		}
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst)
+{
+	uint32_t r,c,i,outR,outC,innerSize;
+	q63_t sum;
+	
+	outR = pSrcA->numRows;
+	outC = pSrcB->numCols;
+	innerSize = pSrcA->numCols;
+	
+	for(r=0;r<outR;r++)
+	{
+		for(c=0;c<outC;c++)
+		{
+			sum = 0;
+			
+			for(i=0;i<innerSize;i++)
+			{
+				sum += (q31_t)(pSrcA->pData[r*innerSize + i]) * pSrcB->pData[i*outC + c];
+			}
+			
+			pDst->pData[r*outC + c] = ref_sat_q15(sum >> 15);
+		}
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_scale.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_scale.c
new file mode 100644
index 0000000..d426ad6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_scale.c
@@ -0,0 +1,64 @@
+#include "ref.h"
+
+arm_status ref_mat_scale_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  float32_t scale,
+  arm_matrix_instance_f32 * pDst)
+{
+	uint32_t i;
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+
+	/* Total number of samples in the input matrix */
+	numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+	
+	for(i=0;i<numSamples;i++)
+	{
+		pDst->pData[i] = pSrc->pData[i] * scale;
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_scale_q31(
+  const arm_matrix_instance_q31 * pSrc,
+  q31_t scale,
+  int32_t shift,
+  arm_matrix_instance_q31 * pDst)
+{
+	uint32_t i;
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+	int32_t totShift = shift + 1; 
+	q31_t tmp;
+
+	/* Total number of samples in the input matrix */
+	numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+	
+	for(i=0;i<numSamples;i++)
+	{
+		tmp = ((q63_t)pSrc->pData[i] * scale) >> 32;
+		pDst->pData[i] = ref_sat_q31((q63_t)tmp << totShift );
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_scale_q15(
+  const arm_matrix_instance_q15 * pSrc,
+  q15_t scale,
+  int32_t shift,
+  arm_matrix_instance_q15 * pDst)
+{
+	uint32_t i;
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+	int32_t totShift = 15 - shift;
+
+	/* Total number of samples in the input matrix */
+	numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+	
+	for(i=0;i<numSamples;i++)
+	{
+		pDst->pData[i] = ref_sat_q15( ((q31_t)pSrc->pData[i] * scale) >> totShift);
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_sub.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_sub.c
new file mode 100644
index 0000000..bbd23f0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_sub.c
@@ -0,0 +1,58 @@
+#include "ref.h"
+
+arm_status ref_mat_sub_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+	uint32_t i;
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+
+	/* Total number of samples in the input matrix */
+	numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+	
+	for(i=0;i<numSamples;i++)
+	{
+		pDst->pData[i] = pSrcA->pData[i] - pSrcB->pData[i];
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_sub_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+  arm_matrix_instance_q31 * pDst)
+{
+	uint32_t i;
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+
+	/* Total number of samples in the input matrix */
+	numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+	
+	for(i=0;i<numSamples;i++)
+	{
+		pDst->pData[i] = ref_sat_q31( (q63_t)pSrcA->pData[i] - pSrcB->pData[i]);
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_sub_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+  arm_matrix_instance_q15 * pDst)
+{
+	uint32_t i;
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+
+	/* Total number of samples in the input matrix */
+	numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+	
+	for(i=0;i<numSamples;i++)
+	{
+		pDst->pData[i] = ref_sat_q15( (q31_t)pSrcA->pData[i] - pSrcB->pData[i]);
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_trans.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_trans.c
new file mode 100644
index 0000000..8cb9a8d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/MatrixFunctions/mat_trans.c
@@ -0,0 +1,77 @@
+#include "ref.h"
+
+arm_status ref_mat_trans_f64(
+  const arm_matrix_instance_f64 * pSrc,
+  arm_matrix_instance_f64 * pDst)
+{
+	uint64_t r,c;
+	uint64_t numR = pSrc->numRows;
+	uint64_t numC = pSrc->numCols;
+	
+	for(r=0;r<numR;r++)
+	{
+		for(c=0;c<numC;c++)
+		{
+			pDst->pData[c*numR + r] = pSrc->pData[r*numC + c];
+		}
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_trans_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  arm_matrix_instance_f32 * pDst)
+{
+	uint32_t r,c;
+	uint32_t numR = pSrc->numRows;
+	uint32_t numC = pSrc->numCols;
+	
+	for(r=0;r<numR;r++)
+	{
+		for(c=0;c<numC;c++)
+		{
+			pDst->pData[c*numR + r] = pSrc->pData[r*numC + c];
+		}
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_trans_q31(
+  const arm_matrix_instance_q31 * pSrc,
+  arm_matrix_instance_q31 * pDst)
+{
+	uint32_t r,c;
+	uint32_t numR = pSrc->numRows;
+	uint32_t numC = pSrc->numCols;
+	
+	for(r=0;r<numR;r++)
+	{
+		for(c=0;c<numC;c++)
+		{
+			pDst->pData[c*numR + r] = pSrc->pData[r*numC + c];
+		}
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
+
+arm_status ref_mat_trans_q15(
+  const arm_matrix_instance_q15 * pSrc,
+  arm_matrix_instance_q15 * pDst)
+{
+	uint32_t r,c;
+	uint32_t numR = pSrc->numRows;
+	uint32_t numC = pSrc->numCols;
+	
+	for(r=0;r<numR;r++)
+	{
+		for(c=0;c<numC;c++)
+		{
+			pDst->pData[c*numR + r] = pSrc->pData[r*numC + c];
+		}
+	}
+	
+	return ARM_MATH_SUCCESS;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/StatisticsFunctions.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/StatisticsFunctions.c
new file mode 100644
index 0000000..6791b3e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/StatisticsFunctions.c
@@ -0,0 +1,8 @@
+
+#include "max.c"
+#include "mean.c"
+#include "min.c"
+#include "power.c"
+#include "rms.c"
+#include "std.c"
+#include "var.c"
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/max.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/max.c
new file mode 100644
index 0000000..02b4127
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/max.c
@@ -0,0 +1,85 @@
+#include "ref.h"
+
+void ref_max_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult,
+  uint32_t * pIndex)
+{
+	uint32_t i, ind=0;
+	float32_t max=-FLT_MAX;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		if (max < pSrc[i])
+		{
+			max = pSrc[i];
+			ind = i;
+		}
+	}
+	*pResult = max;
+	*pIndex = ind;
+}
+
+void ref_max_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult,
+  uint32_t * pIndex)
+{
+	uint32_t i, ind=0;
+	q31_t max=INT_MIN;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		if (max < pSrc[i])
+		{
+			max = pSrc[i];
+			ind = i;
+		}
+	}
+	*pResult = max;
+	*pIndex = ind;
+}
+
+void ref_max_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult,
+  uint32_t * pIndex)
+{
+	uint32_t i, ind=0;
+	q15_t max=SHRT_MIN;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		if (max < pSrc[i])
+		{
+			max = pSrc[i];
+			ind = i;
+		}
+	}
+	*pResult = max;
+	*pIndex = ind;
+}
+
+void ref_max_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q7_t * pResult,
+  uint32_t * pIndex)
+{
+	uint32_t i, ind=0;
+	q7_t max=SCHAR_MIN;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		if (max < pSrc[i])
+		{
+			max = pSrc[i];
+			ind = i;
+		}
+	}
+	*pResult = max;
+	*pIndex = ind;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/mean.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/mean.c
new file mode 100644
index 0000000..d4b4da4
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/mean.c
@@ -0,0 +1,61 @@
+#include "ref.h"
+
+void ref_mean_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+	uint32_t i;
+	float32_t sum=0;
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sum += pSrc[i];
+	}
+	*pResult = sum / (float32_t)blockSize;
+}
+
+void ref_mean_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult)
+{
+	uint32_t i;
+	q63_t sum=0;
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sum += pSrc[i];
+	}
+	*pResult = (q31_t) (sum / (int32_t) blockSize);
+}
+
+void ref_mean_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult)
+{
+	uint32_t i;
+	q31_t sum=0;
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sum += pSrc[i];
+	}
+	*pResult = (q15_t) (sum / (int32_t) blockSize);
+}
+
+void ref_mean_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q7_t * pResult)
+{
+	uint32_t i;
+	q31_t sum=0;
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sum += pSrc[i];
+	}
+	*pResult = (q7_t) (sum / (int32_t) blockSize);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/min.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/min.c
new file mode 100644
index 0000000..6072b1a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/min.c
@@ -0,0 +1,85 @@
+#include "ref.h"
+
+void ref_min_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult,
+  uint32_t * pIndex)
+{
+	uint32_t i, ind=0;
+	float32_t min=FLT_MAX;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		if (min > pSrc[i])
+		{
+			min = pSrc[i];
+			ind = i;
+		}
+	}
+	*pResult = min;
+	*pIndex = ind;
+}
+
+void ref_min_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult,
+  uint32_t * pIndex)
+{
+	uint32_t i, ind=0;
+	q31_t min=INT_MAX;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		if (min > pSrc[i])
+		{
+			min = pSrc[i];
+			ind = i;
+		}
+	}
+	*pResult = min;
+	*pIndex = ind;
+}
+
+void ref_min_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult,
+  uint32_t * pIndex)
+{
+	uint32_t i, ind=0;
+	q15_t min=SHRT_MAX;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		if (min > pSrc[i])
+		{
+			min = pSrc[i];
+			ind = i;
+		}
+	}
+	*pResult = min;
+	*pIndex = ind;
+}
+
+void ref_min_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q7_t * pResult,
+  uint32_t * pIndex)
+{
+	uint32_t i, ind=0;
+	q7_t min=SCHAR_MAX;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		if (min > pSrc[i])
+		{
+			min = pSrc[i];
+			ind = i;
+		}
+	}
+	*pResult = min;
+	*pIndex = ind;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/power.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/power.c
new file mode 100644
index 0000000..8202e04
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/power.c
@@ -0,0 +1,61 @@
+#include "ref.h"
+
+void ref_power_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+	uint32_t i;
+	float32_t sumsq=0;
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sumsq += pSrc[i] * pSrc[i];
+	}
+	*pResult = sumsq;
+}
+
+void ref_power_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q63_t * pResult)
+{
+	uint32_t i;
+	q63_t sumsq=0;
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sumsq += ((q63_t)pSrc[i] * pSrc[i]) >> 14;
+	}
+	*pResult = sumsq;
+}
+
+void ref_power_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q63_t * pResult)
+{
+	uint32_t i;
+	q63_t sumsq=0;
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sumsq += (q63_t)pSrc[i] * pSrc[i];
+	}
+	*pResult = sumsq;
+}
+
+void ref_power_q7(
+  q7_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult)
+{
+	uint32_t i;
+	q31_t sumsq=0;
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sumsq += (q31_t)pSrc[i] * pSrc[i];
+	}
+	*pResult = sumsq;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/rms.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/rms.c
new file mode 100644
index 0000000..94943a9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/rms.c
@@ -0,0 +1,65 @@
+#include "ref.h"
+
+void ref_rms_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+	uint32_t i;
+	float32_t sumsq=0;
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sumsq += pSrc[i] * pSrc[i];
+	}
+	*pResult = sqrtf(sumsq / (float32_t)blockSize);
+}
+
+void ref_rms_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult)
+{
+	uint32_t i;
+    uint64_t sumsq = 0;             /* accumulator (can get never negative. changed type from q63 to uint64 */
+	q63_t tmp1;
+	q31_t tmp2;
+  
+  float help_float;
+  
+	for(i=0;i<blockSize;i++)
+	{
+			sumsq += (q63_t)pSrc[i] * pSrc[i];
+	}
+	tmp1 = (sumsq / (q63_t)blockSize) >> 31;
+	tmp2 = ref_sat_q31(tmp1);
+
+  /* GCC M0 problem: __aeabi_f2iz(QNAN) returns not 0 */
+  help_float = (sqrtf((float)tmp2 / 2147483648.0f) * 2147483648.0f);
+  /* Checking for a NAN value in help_float */
+  if (((*((int *)(&help_float))) & 0x7FC00000) == 0x7FC00000) {
+      help_float = 0;
+  }
+  *pResult = (q31_t)(help_float);
+
+//  *pResult = (q31_t)(sqrtf((float)tmp2 / 2147483648.0f) * 2147483648.0f);
+}
+
+void ref_rms_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult)
+{
+	uint32_t i;
+	q63_t sumsq=0;
+	q31_t tmp1;
+	q15_t tmp2;
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sumsq += (q63_t)pSrc[i] * pSrc[i];
+	}
+	tmp1 = (sumsq / (q63_t)blockSize) >> 15;
+	tmp2 = ref_sat_q15(tmp1);
+	*pResult = (q15_t)(sqrtf((float)tmp2 / 32768.0f) * 32768.0f);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/std.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/std.c
new file mode 100644
index 0000000..c0c1ba3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/std.c
@@ -0,0 +1,74 @@
+#include "ref.h"
+
+void ref_std_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+	uint32_t i;
+	float32_t sum=0, sumsq=0;
+	
+	if (blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sum += pSrc[i];
+			sumsq += pSrc[i] * pSrc[i];
+	}
+	*pResult = sqrtf((sumsq - sum * sum / (float32_t)blockSize) / ((float32_t)blockSize - 1));
+}
+
+void ref_std_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult)
+{
+	uint32_t i;
+	q63_t sum=0, sumsq=0;
+	q31_t in;
+	
+	if (blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+	
+	for(i=0;i<blockSize;i++)
+	{
+			in = pSrc[i] >> 8;
+			sum += in;
+			sumsq += (q63_t)in * in;
+	}
+	sumsq /= (q63_t)(blockSize - 1);
+	sum = sum * sum / (q63_t)(blockSize * (blockSize - 1));
+	*pResult = (q31_t)(sqrtf((float)( (sumsq - sum) >> 15) / 2147483648.0f ) * 2147483648.0f);
+}
+
+void ref_std_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult)
+{
+	uint32_t i;
+	q31_t sum=0;
+	q63_t sumsq=0;
+	
+	if (blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sum += pSrc[i];
+			sumsq += (q63_t)pSrc[i] * pSrc[i];
+	}
+	sumsq /= (q63_t)(blockSize - 1);
+	sum = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1)));
+	*pResult = (q15_t)(sqrtf((float)ref_sat_q15( (sumsq - sum) >> 15) / 32768.0f ) * 32768.0f);
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/var.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/var.c
new file mode 100644
index 0000000..f5da3a6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/StatisticsFunctions/var.c
@@ -0,0 +1,70 @@
+#include "ref.h"
+
+void ref_var_f32(
+  float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+	uint32_t i;
+	float32_t sum=0, sumsq=0;
+	
+	if (blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sum += pSrc[i];
+			sumsq += pSrc[i] * pSrc[i];
+	}
+	*pResult = (sumsq - sum * sum / (float32_t)blockSize) / ((float32_t)blockSize - 1);
+}
+
+void ref_var_q31(
+  q31_t * pSrc,
+  uint32_t blockSize,
+  q31_t * pResult)
+{
+	uint32_t i;
+	q63_t sum=0, sumsq=0;
+	q31_t in;
+	
+	if (blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+	
+	for(i=0;i<blockSize;i++)
+	{
+			in = pSrc[i] >> 8;
+			sum += in;
+			sumsq += (q63_t)in * in;
+	}
+	*pResult = (sumsq - sum * sum / (q31_t)blockSize) / ((q31_t)blockSize - 1) >> 15;
+}
+
+void ref_var_q15(
+  q15_t * pSrc,
+  uint32_t blockSize,
+  q15_t * pResult)
+{
+	uint32_t i;
+	q31_t sum=0;
+	q63_t sumsq=0;
+	
+	if (blockSize == 1)
+	{
+		*pResult = 0;
+		return;
+	}
+	
+	for(i=0;i<blockSize;i++)
+	{
+			sum += pSrc[i];
+			sumsq += (q63_t)pSrc[i] * pSrc[i];
+	}
+	*pResult = (q31_t)((sumsq - (q63_t)sum * sum / (q63_t)blockSize) / ((q63_t)blockSize - 1)) >> 15;
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/SupportFunctions.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/SupportFunctions.c
new file mode 100644
index 0000000..9abab56
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/SupportFunctions.c
@@ -0,0 +1,6 @@
+
+#include "copy.c"
+#include "fill.c"
+#include "fixed_to_fixed.c"
+#include "fixed_to_float.c"
+#include "float_to_fixed.c"
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/copy.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/copy.c
new file mode 100644
index 0000000..08089f5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/copy.c
@@ -0,0 +1,53 @@
+#include "ref.h"
+
+void ref_copy_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i];
+	}
+}
+
+void ref_copy_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i];
+	}
+}
+
+void ref_copy_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i];
+	}
+}
+
+void ref_copy_q7(
+  q7_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i];
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/fill.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/fill.c
new file mode 100644
index 0000000..6082351
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/fill.c
@@ -0,0 +1,53 @@
+#include "ref.h"
+
+void ref_fill_f32(
+  float32_t value,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = value;
+	}
+}
+
+void ref_fill_q31(
+  q31_t value,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = value;
+	}
+}
+
+void ref_fill_q15(
+  q15_t value,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = value;
+	}
+}
+
+void ref_fill_q7(
+  q7_t value,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = value;
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/fixed_to_fixed.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/fixed_to_fixed.c
new file mode 100644
index 0000000..f0c1d0f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/fixed_to_fixed.c
@@ -0,0 +1,79 @@
+#include "ref.h"
+
+void ref_q31_to_q15(
+  q31_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i] >> 16;
+	}
+}
+
+void ref_q31_to_q7(
+  q31_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i] >> 24;
+	}
+}
+
+void ref_q15_to_q31(
+  q15_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ((q31_t)pSrc[i]) << 16;
+	}
+}
+
+void ref_q15_to_q7(
+  q15_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = pSrc[i] >> 8;
+	}
+}
+
+void ref_q7_to_q31(
+  q7_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ((q31_t)pSrc[i]) << 24;
+	}
+}
+
+void ref_q7_to_q15(
+  q7_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ((q15_t)pSrc[i]) << 8;
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/fixed_to_float.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/fixed_to_float.c
new file mode 100644
index 0000000..296a50e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/fixed_to_float.c
@@ -0,0 +1,53 @@
+#include "ref.h"
+
+void ref_q63_to_float(
+  q63_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ((float32_t)pSrc[i]) / 9223372036854775808.0f;
+	}
+}
+
+void ref_q31_to_float(
+  q31_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ((float32_t)pSrc[i]) / 2147483648.0f;
+	}
+}
+	
+void ref_q15_to_float(
+  q15_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ((float32_t)pSrc[i]) / 32768.0f;
+	}
+}
+	
+void ref_q7_to_float(
+  q7_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		pDst[i] = ((float32_t)pSrc[i]) / 128.0f;
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/float_to_fixed.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/float_to_fixed.c
new file mode 100644
index 0000000..107556b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/SupportFunctions/float_to_fixed.c
@@ -0,0 +1,52 @@
+#include "ref.h"
+
+void ref_float_to_q31(
+  float32_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	float32_t in;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		in = pSrc[i];
+		in *= 2147483648.0f;				//scale up
+		in += in > 0.0f ? 0.5f : -0.5f;		//round
+		pDst[i] = ref_sat_q31((q63_t)in);	//cast and saturate
+	}
+}
+	
+void ref_float_to_q15(
+  float32_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	float32_t in;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		in = pSrc[i];
+		in *= 32768.0f;
+		in += in > 0.0f ? 0.5f : -0.5f;
+		pDst[i] = ref_sat_q15((q31_t)in);
+	}
+}
+	
+void ref_float_to_q7(
+  float32_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+	uint32_t i;
+	float32_t in;
+	
+	for(i=0;i<blockSize;i++)
+	{
+		in = pSrc[i];
+		in *= 128.0f;
+		in += in > 0.0f ? 0.5f : -0.5f;
+		pDst[i] = ref_sat_q7((q15_t)in);
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/TransformFunctions.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/TransformFunctions.c
new file mode 100644
index 0000000..d100918
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/TransformFunctions.c
@@ -0,0 +1,4 @@
+
+#include "cfft.c"
+#include "dct4.c"
+#include "rfft.c"
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/bitreversal.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/bitreversal.c
new file mode 100644
index 0000000..b5a4068
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/bitreversal.c
@@ -0,0 +1,30 @@
+#include "ref.h"
+
+
+;/*    
+;* @brief  In-place bit reversal function.   
+;* @param[in, out] *pSrc        points to the in-place buffer of unknown 32-bit data type. 
+;* @param[in]      bitRevLen    bit reversal table length
+;* @param[in]      *pBitRevTab  points to bit reversal table.   
+;* @return none.   
+;*/
+void ref_arm_bitreversal_32(uint32_t *pSrc, uint32_t bitRevLen, uint32_t *pBitRevTab)
+{
+	uint32_t a,b,i,tmp;
+	
+	for(i=0; i<bitRevLen; i++) 
+	{
+		 a = pBitRevTab[2*i];
+		 b = pBitRevTab[2*i + 1];
+
+	//real
+		 tmp = pSrc[a];
+		 pSrc[a] = pSrc[b];
+		 pSrc[b] = tmp;
+
+	//complex
+		 tmp = pSrc[a+1];
+		 pSrc[a+1] = pSrc[b+1];
+		 pSrc[b+1] = tmp;
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/cfft.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/cfft.c
new file mode 100644
index 0000000..ede4da6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/cfft.c
@@ -0,0 +1,598 @@
+#include "ref.h"
+#include "arm_const_structs.h"
+	 
+void ref_cfft_f32(
+   const arm_cfft_instance_f32 * S, 
+   float32_t * p1,
+   uint8_t ifftFlag,
+   uint8_t bitReverseFlag)
+{
+	int n, mmax, m, j, istep, i;
+	float32_t wtemp, wr, wpr, wpi, wi, theta;
+	float32_t tempr, tempi;
+	float32_t *  data = p1;
+	uint32_t N = S->fftLen;
+	int32_t dir = (ifftFlag) ? -1 : 1;
+
+	// decrement pointer since the original version used fortran style indexing.
+	data--;
+
+	n = N << 1;
+	j = 1;
+	for (i = 1; i < n; i += 2) {
+		if (j > i) {
+			tempr = data[j];     data[j] = data[i];     data[i] = tempr;
+			tempr = data[j+1]; data[j+1] = data[i+1]; data[i+1] = tempr;
+		}
+		m = n >> 1;
+		while (m >= 2 && j > m) {
+			j -= m;
+			m >>= 1;
+		}
+		j += m;
+	}
+	mmax = 2;
+	while (n > mmax) {
+		istep = 2*mmax;
+		theta = -6.283185307179586f/(dir*mmax);
+		wtemp = sinf(0.5f*theta);
+		wpr = -2.0f*wtemp*wtemp;
+		wpi = sinf(theta);
+		wr = 1.0f;
+		wi = 0.0f;
+		for (m = 1; m < mmax; m += 2) {
+			for (i = m; i <= n; i += istep) {
+				j =i + mmax;
+				tempr = wr*data[j]   - wi*data[j+1];
+				tempi = wr*data[j+1] + wi*data[j];
+				data[j]   = data[i]   - tempr;
+				data[j+1] = data[i+1] - tempi;
+				data[i] += tempr;
+				data[i+1] += tempi;
+			}
+			wr = (wtemp = wr)*wpr - wi*wpi + wr;
+			wi = wi*wpr + wtemp*wpi + wi;
+		}
+		mmax = istep;
+	}
+
+	// Inverse transform is scaled by 1/N
+	if (ifftFlag)
+	{
+		data++;
+		for(i = 0; i<2*N; i++)
+		{
+			data[i] /= N;
+		}
+	}
+}
+
+void ref_cfft_q31(
+	const arm_cfft_instance_q31 * S,
+    q31_t * p1,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag)
+{
+	uint32_t i;
+	float32_t *fSrc = (float32_t*)p1;
+	
+	for(i=0;i<S->fftLen*2;i++)
+	{
+		//read the q31 data, cast to float, scale down for float
+		fSrc[i] = (float32_t)p1[i] / 2147483648.0f;
+	}
+	
+	switch(S->fftLen)
+	{
+   case 16: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len16, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 32: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len32, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 64: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len64, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 128: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len128, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 256: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len256, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 512: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len512, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 1024: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len1024, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 2048: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len2048, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 4096: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len4096, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+	}
+	
+	if (ifftFlag)
+	{
+		for(i=0;i<S->fftLen*2;i++)
+		{
+			//read the float data, scale up for q31, cast to q31
+			p1[i] = (q31_t)( fSrc[i] * 2147483648.0f );
+		}
+	}
+	else
+	{
+		for(i=0;i<S->fftLen*2;i++)
+		{
+			//read the float data, scale up for q31, cast to q31
+			p1[i] = (q31_t)( fSrc[i] * 2147483648.0f / (float32_t)S->fftLen);
+		}
+	}
+}
+
+void ref_cfft_q15(
+	const arm_cfft_instance_q15 * S,
+    q15_t * pSrc,
+    uint8_t ifftFlag,
+    uint8_t bitReverseFlag)
+{
+	uint32_t i;
+	float32_t *fSrc = (float32_t*)pSrc;
+	
+	for(i=0;i<S->fftLen*2;i++)
+	{
+		//read the q15 data, cast to float, scale down for float, place in temporary buffer
+		scratchArray[i] = (float32_t)pSrc[i] / 32768.0f;
+	}
+	
+	for(i=0;i<S->fftLen*2;i++)
+	{
+		//copy from temp buffer to final buffer
+		fSrc[i] = scratchArray[i];
+	}
+	
+	switch(S->fftLen)
+	{
+   case 16: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len16, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 32: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len32, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 64: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len64, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 128: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len128, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 256: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len256, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 512: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len512, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 1024: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len1024, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 2048: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len2048, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+   
+   case 4096: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len4096, fSrc, ifftFlag, bitReverseFlag);
+		 break;
+	}
+	
+	if (ifftFlag)
+	{
+		for(i=0;i<S->fftLen*2;i++)
+		{
+			//read the float data, scale up for q15, cast to q15
+			pSrc[i] = (q15_t)( fSrc[i] * 32768.0f );
+		}
+	}
+	else
+	{
+		for(i=0;i<S->fftLen*2;i++)
+		{
+			//read the float data, scale up for q15, cast to q15
+			pSrc[i] = (q15_t)( fSrc[i] * 32768.0f / (float32_t)S->fftLen);
+		}
+	}
+}
+
+void ref_cfft_radix2_f32(
+	const arm_cfft_radix2_instance_f32 * S,
+	float32_t * pSrc)
+{
+	switch(S->fftLen)
+	{
+   case 16: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len16, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 32: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len32, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 64: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len64, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 128: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len128, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 256: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len256, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 512: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len512, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 1024: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len1024, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 2048: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len2048, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 4096: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len4096, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+	}
+}
+
+void ref_cfft_radix2_q31(
+	const arm_cfft_radix2_instance_q31 * S,
+	q31_t * pSrc)
+{
+	uint32_t i;
+	float32_t *fSrc = (float32_t*)pSrc;
+	
+	for(i=0;i<S->fftLen*2;i++)
+	{
+		//read the q31 data, cast to float, scale down for float
+		fSrc[i] = (float32_t)pSrc[i] / 2147483648.0f;
+	}
+	
+	switch(S->fftLen)
+	{
+   case 16: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len16, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 32: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len32, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 64: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len64, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 128: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len128, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 256: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len256, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 512: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len512, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 1024: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len1024, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 2048: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len2048, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 4096: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len4096, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+	}
+	
+	if (S->ifftFlag)
+	{
+		for(i=0;i<S->fftLen*2;i++)
+		{
+			//read the float data, scale up for q31, cast to q31
+			pSrc[i] = (q31_t)( fSrc[i] * 2147483648.0f );
+		}
+	}
+	else
+	{
+		for(i=0;i<S->fftLen*2;i++)
+		{
+			//read the float data, scale up for q31, cast to q31
+			pSrc[i] = (q31_t)( fSrc[i] * 2147483648.0f / (float32_t)S->fftLen);
+		}
+	}
+}
+
+void ref_cfft_radix2_q15(
+	const arm_cfft_radix2_instance_q15 * S,
+	q15_t * pSrc)
+{
+	uint32_t i;
+	float32_t *fSrc = (float32_t*)pSrc;
+	
+	for(i=0;i<S->fftLen*2;i++)
+	{
+		//read the q15 data, cast to float, scale down for float, place in temporary buffer
+		scratchArray[i] = (float32_t)pSrc[i] / 32768.0f;
+	}
+	
+	for(i=0;i<S->fftLen*2;i++)
+	{
+		//copy from temp buffer to final buffer
+		fSrc[i] = scratchArray[i];
+	}
+	
+	switch(S->fftLen)
+	{
+   case 16: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len16, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 32: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len32, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 64: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len64, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 128: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len128, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 256: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len256, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 512: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len512, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 1024: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len1024, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 2048: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len2048, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 4096: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len4096, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+	}
+	
+	if (S->ifftFlag)
+	{
+		for(i=0;i<S->fftLen*2;i++)
+		{
+		//read the float data, scale up for q15, cast to q15
+		pSrc[i] = (q15_t)( fSrc[i] * 32768.0f );
+		}
+	}
+	else
+	{
+		for(i=0;i<S->fftLen*2;i++)
+		{
+		//read the float data, scale up for q15, cast to q15
+		pSrc[i] = (q15_t)( fSrc[i] * 32768.0f / (float32_t)S->fftLen);
+		}
+	}
+}
+
+void ref_cfft_radix4_f32(
+	const arm_cfft_radix4_instance_f32 * S,
+	float32_t * pSrc)
+{		
+	switch(S->fftLen)
+	{
+   case 16: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len16, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 32: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len32, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 64: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len64, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 128: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len128, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 256: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len256, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 512: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len512, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 1024: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len1024, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 2048: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len2048, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 4096: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len4096, pSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+	}
+}
+
+void ref_cfft_radix4_q31(
+	const arm_cfft_radix4_instance_q31 * S,
+	q31_t * pSrc)
+{
+	uint32_t i;
+	float32_t *fSrc = (float32_t*)pSrc;
+	
+	for(i=0;i<S->fftLen*2;i++)
+	{
+		//read the q31 data, cast to float, scale down for float
+		fSrc[i] = (float32_t)pSrc[i] / 2147483648.0f;
+	}
+	
+	switch(S->fftLen)
+	{
+   case 16: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len16, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 32: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len32, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 64: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len64, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 128: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len128, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 256: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len256, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 512: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len512, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 1024: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len1024, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 2048: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len2048, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 4096: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len4096, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+	}
+	
+	if (S->ifftFlag)
+	{
+		for(i=0;i<S->fftLen*2;i++)
+		{
+			//read the float data, scale up for q31, cast to q31
+			pSrc[i] = (q31_t)( fSrc[i] * 2147483648.0f );
+		}
+	}
+	else
+	{
+		for(i=0;i<S->fftLen*2;i++)
+		{
+			//read the float data, scale up for q31, cast to q31
+			pSrc[i] = (q31_t)( fSrc[i] * 2147483648.0f / (float32_t)S->fftLen);
+		}
+	}
+}
+
+void ref_cfft_radix4_q15(
+	const arm_cfft_radix4_instance_q15 * S,
+	q15_t * pSrc)
+{
+	uint32_t i;
+	float32_t *fSrc = (float32_t*)pSrc;
+	
+	for(i=0;i<S->fftLen*2;i++)
+	{
+		//read the q15 data, cast to float, scale down for float, place in temporary buffer
+		scratchArray[i] = (float32_t)pSrc[i] / 32768.0f;
+	}
+	
+	for(i=0;i<S->fftLen*2;i++)
+	{
+		//copy from temp buffer to final buffer
+		fSrc[i] = scratchArray[i];
+	}
+	
+	switch(S->fftLen)
+	{
+   case 16: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len16, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 32: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len32, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 64: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len64, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 128: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len128, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 256: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len256, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 512: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len512, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 1024: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len1024, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 2048: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len2048, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+   
+   case 4096: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len4096, fSrc, S->ifftFlag, S->bitReverseFlag);
+		 break;
+	}
+	
+	if (S->ifftFlag)
+	{
+		for(i=0;i<S->fftLen*2;i++)
+		{
+		//read the float data, scale up for q15, cast to q15
+		pSrc[i] = (q15_t)( fSrc[i] * 32768.0f );
+		}
+	}
+	else
+	{
+		for(i=0;i<S->fftLen*2;i++)
+		{
+		//read the float data, scale up for q15, cast to q15
+		pSrc[i] = (q15_t)( fSrc[i] * 32768.0f / (float32_t)S->fftLen);
+		}
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/dct4.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/dct4.c
new file mode 100644
index 0000000..9c1f207
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/dct4.c
@@ -0,0 +1,89 @@
+#include "ref.h"
+
+void ref_dct4_f32(
+  const arm_dct4_instance_f32 * S,
+  float32_t * pState,
+  float32_t * pInlineBuffer)
+{
+	uint32_t n,k;
+	float32_t sum;
+   float32_t pi_by_N = 3.14159265358979f / (float32_t)S->N;
+   float32_t tmp;
+   float32_t normalize = sqrtf(2.0f / (float32_t)S->N);
+	
+	for(k=0;k<S->N;k++)
+	{
+		sum=0.0f;
+      tmp = ((float32_t)k + 0.5f)*pi_by_N;
+		for(n=0;n<S->N;n++)
+		{
+			sum += pInlineBuffer[n] * cosf(tmp * ((float32_t)n + 0.5f));
+		}
+		scratchArray[k] = normalize * sum;
+	}
+	
+	for(k=0;k<S->N;k++)
+	{
+		pInlineBuffer[k] = scratchArray[k];
+	}
+}
+
+void ref_dct4_q31(
+  const arm_dct4_instance_q31 * S,
+  q31_t * pState,
+  q31_t * pInlineBuffer)
+{
+	arm_dct4_instance_f32 SS;
+	float32_t *fSrc = (float32_t*)pInlineBuffer;
+	uint32_t i;
+	
+	SS.N = S->N;
+	
+	for(i=0;i<S->N;i++)
+	{
+		//read the q31 data, cast to float, scale down for float
+		fSrc[i] = (float32_t)pInlineBuffer[i] / 2147483648.0f;
+	}
+	
+	ref_dct4_f32(&SS,(float32_t*)0,fSrc);
+	
+	for(i=0;i<S->N;i++)
+	{
+		fSrc[i] = fSrc[i] * 2147483648.0f / (float32_t)S->N ;
+		fSrc[i] += (fSrc[i] > 0) ? 0.5f : -0.5f;
+		pInlineBuffer[i] = (q31_t)fSrc[i];
+	}
+}
+
+void ref_dct4_q15(
+  const arm_dct4_instance_q15 * S,
+  q15_t * pState,
+  q15_t * pInlineBuffer)
+{
+	arm_dct4_instance_f32 SS;
+	float32_t *fSrc = (float32_t*)pInlineBuffer;
+	uint32_t i;
+	
+	SS.N = S->N;
+	
+	for(i=0;i<S->N;i++)
+	{
+		//read the q15 data, cast to float, scale down for float, place in temporary buffer
+		scratchArray[i] = (float32_t)pInlineBuffer[i] / 32768.0f;
+	}
+	
+	for(i=0;i<S->N;i++)
+	{
+		//copy from temp buffer to final buffer
+		fSrc[i] = scratchArray[i];
+	}
+	
+	ref_dct4_f32(&SS,(float32_t*)0,fSrc);
+	
+	for(i=0;i<S->N;i++)
+	{
+		fSrc[i] = fSrc[i] * 32768.0f / (float32_t)S->N;
+		fSrc[i] += (fSrc[i] > 0) ? 0.5f : -0.5f;
+		pInlineBuffer[i] = (q15_t)fSrc[i];
+	}
+}
diff --git a/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/rfft.c b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/rfft.c
new file mode 100644
index 0000000..79738f0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/DSP_Lib_TestSuite/RefLibs/src/TransformFunctions/rfft.c
@@ -0,0 +1,302 @@
+#include "ref.h"	
+#include "arm_const_structs.h"
+	
+void ref_rfft_f32(
+	arm_rfft_instance_f32 * S,
+  float32_t * pSrc,
+  float32_t * pDst)
+{
+	uint32_t i;
+	
+	if (S->ifftFlagR)
+	{
+		for(i=0;i<S->fftLenReal*2;i++)
+		{
+			pDst[i] = pSrc[i];
+		}
+	}
+	else
+	{
+		for(i=0;i<S->fftLenReal;i++)
+		{
+			pDst[2*i+0] = pSrc[i];
+			pDst[2*i+1] = 0.0f;
+		}
+	}
+	
+	switch(S->fftLenReal)
+	{   
+   case 128: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len128, pDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+   
+   case 512: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len512, pDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+   
+   case 2048: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len2048, pDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+   
+   case 8192: 
+		 ref_cfft_f32(&ref_cfft_sR_f32_len8192, pDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	}
+	
+	if (S->ifftFlagR)
+	{
+		//throw away the imaginary part which should be all zeros
+		for(i=0;i<S->fftLenReal;i++)
+		{
+			pDst[i] = pDst[2*i];
+		}
+	}
+}
+	
+void ref_rfft_fast_f32(
+	arm_rfft_fast_instance_f32 * S,
+	float32_t * p, float32_t * pOut,
+	uint8_t ifftFlag)
+{
+	uint32_t i,j;
+	
+	if (ifftFlag)
+	{
+		for(i=0;i<S->fftLenRFFT;i++)
+		{
+			pOut[i] = p[i];
+		}
+		//unpack first sample's complex part into middle sample's real part
+		pOut[S->fftLenRFFT] = pOut[1];
+		pOut[S->fftLenRFFT+1] = 0;
+		pOut[1] = 0;
+		j=4;
+		for(i = S->fftLenRFFT / 2 + 1;i < S->fftLenRFFT;i++)
+		{
+			pOut[2*i+0] = p[2*i+0 - j];
+			pOut[2*i+1] = -p[2*i+1 - j];
+			j+=4;
+		}
+	}
+	else
+	{
+		for(i=0;i<S->fftLenRFFT;i++)
+		{
+			pOut[2*i+0] = p[i];
+			pOut[2*i+1] = 0.0f;
+		}
+	}
+	
+	switch(S->fftLenRFFT)
+	{   
+   case 32: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len32, pOut, ifftFlag, 1);
+		 break;
+   
+   case 64: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len64, pOut, ifftFlag, 1);
+		 break;
+   
+   case 128: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len128, pOut, ifftFlag, 1);
+		 break;
+   
+   case 256: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len256, pOut, ifftFlag, 1);
+		 break;
+   
+   case 512: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len512, pOut, ifftFlag, 1);
+		 break;
+   
+   case 1024: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len1024, pOut, ifftFlag, 1);
+		 break;
+   
+   case 2048: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len2048, pOut, ifftFlag, 1);
+		 break;
+   
+   case 4096: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len4096, pOut, ifftFlag, 1);
+		 break;
+	}
+	
+	if (ifftFlag)
+	{
+		//throw away the imaginary part which should be all zeros
+		for(i=0;i<S->fftLenRFFT;i++)
+		{
+			pOut[i] = pOut[2*i];
+		}
+	}
+	else
+	{
+		//pack last sample's real part into first sample's complex part
+		pOut[1] = pOut[S->fftLenRFFT];
+	}
+}
+	
+void ref_rfft_q31(
+  const arm_rfft_instance_q31 * S,
+  q31_t * pSrc,
+  q31_t * pDst)
+{
+	uint32_t i;
+	float32_t *fDst = (float32_t*)pDst;
+	
+	if (S->ifftFlagR)
+	{
+		for(i=0;i<S->fftLenReal*2;i++)
+		{
+			fDst[i] = (float32_t)pSrc[i] / 2147483648.0f;
+		}
+	}
+	else
+	{
+		for(i=0;i<S->fftLenReal;i++)
+		{
+			fDst[2*i+0] = (float32_t)pSrc[i] / 2147483648.0f;
+			fDst[2*i+1] = 0.0f;
+		}
+	}
+	
+	switch(S->fftLenReal)
+	{
+   case 32: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len32, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	 
+   case 64: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len64, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	 
+   case 128: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len128, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	 
+   case 256: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len256, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	 
+   case 512: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len512, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	 
+   case 1024: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len1024, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+   
+   case 2048: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len2048, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+   
+   case 4096: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len4096, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+   
+   case 8192: 
+		 ref_cfft_f32(&ref_cfft_sR_f32_len8192, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	}
+	
+	if (S->ifftFlagR)
+	{
+		//throw away the imaginary part which should be all zeros		
+		for(i=0;i<S->fftLenReal;i++)
+		{
+			//read the float data, scale up for q31, cast to q31
+			pDst[i] = (q31_t)( fDst[2*i] * 2147483648.0f);
+		}
+	}
+	else
+	{
+		for(i=0;i<S->fftLenReal;i++)
+		{
+			//read the float data, scale up for q31, cast to q31
+			pDst[i] = (q31_t)( fDst[i] * 2147483648.0f / (float32_t)S->fftLenReal);
+		}
+	}
+}
+
+void ref_rfft_q15(
+  const arm_rfft_instance_q15 * S,
+  q15_t * pSrc,
+  q15_t * pDst)
+{
+	uint32_t i;
+	float32_t *fDst = (float32_t*)pDst;
+	
+	
+	if (S->ifftFlagR)
+	{
+		for(i=0;i<S->fftLenReal*2;i++)
+		{
+			fDst[i] = (float32_t)pSrc[i] / 32768.0f;
+		}
+	}
+	else
+	{
+		for(i=0;i<S->fftLenReal;i++)
+		{
+			//read the q15 data, cast to float, scale down for float
+			fDst[2*i+0] = (float32_t)pSrc[i] / 32768.0f;
+			fDst[2*i+1] = 0.0f;
+		}
+	}
+	
+	switch(S->fftLenReal)
+	{   
+   case 32: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len32, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	 
+   case 64: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len64, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	 
+   case 128: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len128, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	 
+   case 256: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len256, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	 
+   case 512: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len512, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	 
+   case 1024: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len1024, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+   
+   case 2048: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len2048, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+   
+   case 4096: 
+		 ref_cfft_f32(&arm_cfft_sR_f32_len4096, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+   
+   case 8192: 
+		 ref_cfft_f32(&ref_cfft_sR_f32_len8192, fDst, S->ifftFlagR, S->bitReverseFlagR);
+		 break;
+	}
+	
+	if (S->ifftFlagR)
+	{
+		//throw away the imaginary part which should be all zeros
+		for(i=0;i<S->fftLenReal;i++)
+		{
+			pDst[i] = (q15_t)( fDst[2*i] * 32768.0f);
+		}
+	}
+	else
+	{
+		for(i=0;i<S->fftLenReal;i++)
+		{
+			pDst[i] = (q15_t)( fDst[i] * 32768.0f / (float32_t)S->fftLenReal);
+		}
+	}
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/Abstract.txt b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/Abstract.txt
new file mode 100644
index 0000000..7ac021f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_class_marks_example for
+  Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
+
+The example is configured for uVision Simulator
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM0/startup_ARMCM0.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM0/startup_ARMCM0.s
new file mode 100644
index 0000000..bdb4be7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM0/startup_ARMCM0.s
@@ -0,0 +1,159 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM0.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM0 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    ( 22 * 4)                           ; Interrupts 10 .. 31 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM0/system_ARMCM0.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM0/system_ARMCM0.c
new file mode 100644
index 0000000..d735adf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM0/system_ARMCM0.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM3/startup_ARMCM3.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM3/startup_ARMCM3.s
new file mode 100644
index 0000000..81a33d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM3/startup_ARMCM3.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM3.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM3 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM3/system_ARMCM3.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM3/system_ARMCM3.c
new file mode 100644
index 0000000..5578e23
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM3/system_ARMCM3.c
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
new file mode 100644
index 0000000..93f7f27
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM4.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM4 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
new file mode 100644
index 0000000..cfac6b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
new file mode 100644
index 0000000..f9d954a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM7.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM7 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
new file mode 100644
index 0000000..affc835
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/arm_class_marks_example_f32.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/arm_class_marks_example_f32.c
new file mode 100644
index 0000000..e6842de
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_class_marks_example/arm_class_marks_example_f32.c
@@ -0,0 +1,211 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_class_marks_example_f32.c
+*
+* Description:   Example code to calculate Minimum, Maximum
+*                Mean, std and variance of marks obtained in a class
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup ClassMarks Class Marks Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use the Maximum, Minimum, Mean, Standard Deviation, Variance
+ * and Matrix functions to calculate statistical values of marks obtained in a class.
+ *
+ * \note This example also demonstrates the usage of static initialization.
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testMarks_f32 points to the marks scored by 20 students in 4 subjects
+ * \li \c max_marks     Maximum of all marks
+ * \li \c min_marks     Minimum of all marks
+ * \li \c mean          Mean of all marks
+ * \li \c var           Variance of the marks
+ * \li \c std           Standard deviation of the marks
+ * \li \c numStudents   Total number of students in the class
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_mat_init_f32()
+ * - arm_mat_mult_f32()
+ * - arm_max_f32()
+ * - arm_min_f32()
+ * - arm_mean_f32()
+ * - arm_std_f32()
+ * - arm_var_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_class_marks_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_class_marks_example_f32.c
+  */
+#include "arm_math.h"
+
+#define USE_STATIC_INIT
+
+ /* ----------------------------------------------------------------------
+** Global defines
+** ------------------------------------------------------------------- */
+
+#define TEST_LENGTH_SAMPLES   (20*4)
+
+/* ----------------------------------------------------------------------
+** List of Marks scored by 20 students for 4 subjects
+** ------------------------------------------------------------------- */
+const float32_t testMarks_f32[TEST_LENGTH_SAMPLES] =
+{
+  42.000000,  37.000000,  81.000000,  28.000000,
+  83.000000,  72.000000,  36.000000,  38.000000,
+  32.000000,  51.000000,  63.000000,  64.000000,
+  97.000000,  82.000000,  95.000000,  90.000000,
+  66.000000,  51.000000,  54.000000,  42.000000,
+  67.000000,  56.000000,  45.000000,  57.000000,
+  67.000000,  69.000000,  35.000000,  52.000000,
+  29.000000,  81.000000,  58.000000,  47.000000,
+  38.000000,  76.000000, 100.000000,  29.000000,
+  33.000000,  47.000000,  29.000000,  50.000000,
+  34.000000,  41.000000,  61.000000,  46.000000,
+  52.000000,  50.000000,  48.000000,  36.000000,
+  47.000000,  55.000000,  44.000000,  40.000000,
+ 100.000000,  94.000000,  84.000000,  37.000000,
+  32.000000,  71.000000,  47.000000,  77.000000,
+  31.000000,  50.000000,  49.000000,  35.000000,
+  63.000000,  67.000000,  40.000000,  31.000000,
+  29.000000,  68.000000,  61.000000,  38.000000,
+  31.000000,  28.000000,  28.000000,  76.000000,
+  55.000000,  33.000000,  29.000000,  39.000000
+};
+
+
+/* ----------------------------------------------------------------------
+* Number of subjects X 1
+* ------------------------------------------------------------------- */
+const float32_t testUnity_f32[4] =
+{
+  1.000,  1.000,   1.000,  1.000
+};
+
+
+/* ----------------------------------------------------------------------
+** f32 Output buffer
+** ------------------------------------------------------------------- */
+static float32_t testOutput[TEST_LENGTH_SAMPLES];
+
+
+/* ------------------------------------------------------------------
+* Global defines
+*------------------------------------------------------------------- */
+#define   NUMSTUDENTS  20
+#define     NUMSUBJECTS  4
+
+/* ------------------------------------------------------------------
+* Global variables
+*------------------------------------------------------------------- */
+
+ uint32_t    numStudents = 20;
+ uint32_t    numSubjects = 4;
+float32_t    max_marks, min_marks, mean, std, var;
+ uint32_t    student_num;
+
+/* ----------------------------------------------------------------------------------
+* Main f32 test function.  It returns maximum marks secured and student number
+* ------------------------------------------------------------------------------- */
+
+int32_t main()
+{
+
+#ifndef  USE_STATIC_INIT
+
+  arm_matrix_instance_f32 srcA;
+  arm_matrix_instance_f32 srcB;
+  arm_matrix_instance_f32 dstC;
+
+  /* Input and output matrices initializations */
+  arm_mat_init_f32(&srcA, numStudents, numSubjects, (float32_t *)testMarks_f32);
+  arm_mat_init_f32(&srcB, numSubjects, 1, (float32_t *)testUnity_f32);
+  arm_mat_init_f32(&dstC, numStudents, 1, testOutput);
+
+#else
+
+  /* Static Initializations of Input and output matrix sizes and array */
+  arm_matrix_instance_f32 srcA = {NUMSTUDENTS, NUMSUBJECTS, (float32_t *)testMarks_f32};
+  arm_matrix_instance_f32 srcB = {NUMSUBJECTS, 1, (float32_t *)testUnity_f32};
+  arm_matrix_instance_f32 dstC = {NUMSTUDENTS, 1, testOutput};
+
+#endif
+
+
+  /* ----------------------------------------------------------------------
+  *Call the Matrix multiplication process function
+  * ------------------------------------------------------------------- */
+  arm_mat_mult_f32(&srcA, &srcB, &dstC);
+
+  /* ----------------------------------------------------------------------
+  ** Call the Max function to calculate max marks among numStudents
+  ** ------------------------------------------------------------------- */
+  arm_max_f32(testOutput, numStudents, &max_marks, &student_num);
+
+  /* ----------------------------------------------------------------------
+  ** Call the Min function to calculate min marks among numStudents
+  ** ------------------------------------------------------------------- */
+  arm_min_f32(testOutput, numStudents, &min_marks, &student_num);
+
+  /* ----------------------------------------------------------------------
+  ** Call the Mean function to calculate mean
+  ** ------------------------------------------------------------------- */
+  arm_mean_f32(testOutput, numStudents, &mean);
+
+  /* ----------------------------------------------------------------------
+  ** Call the std function to calculate standard deviation
+  ** ------------------------------------------------------------------- */
+  arm_std_f32(testOutput, numStudents, &std);
+
+  /* ----------------------------------------------------------------------
+  ** Call the var function to calculate variance
+  ** ------------------------------------------------------------------- */
+  arm_var_f32(testOutput, numStudents, &var);
+
+  while (1);                             /* main function does not return */
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/Abstract.txt b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/Abstract.txt
new file mode 100644
index 0000000..7ef79e2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_convolution_example for
+  Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
+
+The example is configured for uVision Simulator.
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM0/startup_ARMCM0.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM0/startup_ARMCM0.s
new file mode 100644
index 0000000..bdb4be7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM0/startup_ARMCM0.s
@@ -0,0 +1,159 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM0.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM0 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    ( 22 * 4)                           ; Interrupts 10 .. 31 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM0/system_ARMCM0.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM0/system_ARMCM0.c
new file mode 100644
index 0000000..d735adf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM0/system_ARMCM0.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM3/startup_ARMCM3.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM3/startup_ARMCM3.s
new file mode 100644
index 0000000..81a33d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM3/startup_ARMCM3.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM3.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM3 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM3/system_ARMCM3.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM3/system_ARMCM3.c
new file mode 100644
index 0000000..5578e23
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM3/system_ARMCM3.c
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
new file mode 100644
index 0000000..93f7f27
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM4.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM4 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
new file mode 100644
index 0000000..cfac6b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
new file mode 100644
index 0000000..f9d954a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM7.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM7 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
new file mode 100644
index 0000000..affc835
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/arm_convolution_example_f32.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/arm_convolution_example_f32.c
new file mode 100644
index 0000000..e4665fe
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/arm_convolution_example_f32.c
@@ -0,0 +1,247 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_convolution_example_f32.c
+*
+* Description:   Example code demonstrating Convolution of two input signals using fft.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup ConvolutionExample Convolution Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the convolution theorem with the use of the Complex FFT, Complex-by-Complex
+ * Multiplication, and Support Functions.
+ *
+ * \par Algorithm:
+ * \par
+ * The convolution theorem states that convolution in the time domain corresponds to
+ * multiplication in the frequency domain. Therefore, the Fourier transform of the convoution of
+ * two signals is equal to the product of their individual Fourier transforms.
+ * The Fourier transform of a signal can be evaluated efficiently using the Fast Fourier Transform (FFT).
+ * \par
+ * Two input signals, <code>a[n]</code> and <code>b[n]</code>, with lengths \c n1 and \c n2 respectively,
+ * are zero padded so that their lengths become \c N, which is greater than or equal to <code>(n1+n2-1)</code>
+ * and is a power of 4 as FFT implementation is radix-4.
+ * The convolution of <code>a[n]</code> and <code>b[n]</code> is obtained by taking the FFT of the input
+ * signals, multiplying the Fourier transforms of the two signals, and taking the inverse FFT of
+ * the multiplied result.
+ * \par
+ * This is denoted by the following equations:
+ * <pre> A[k] = FFT(a[n],N)
+ * B[k] = FFT(b[n],N)
+ * conv(a[n], b[n]) = IFFT(A[k] * B[k], N)</pre>
+ * where <code>A[k]</code> and <code>B[k]</code> are the N-point FFTs of the signals <code>a[n]</code>
+ * and <code>b[n]</code> respectively.
+ * The length of the convolved signal is <code>(n1+n2-1)</code>.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html Convolution.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInputA_f32 points to the first input sequence
+ * \li \c srcALen length of the first input sequence
+ * \li \c testInputB_f32 points to the second input sequence
+ * \li \c srcBLen length of the second input sequence
+ * \li \c outLen length of convolution output sequence, <code>(srcALen + srcBLen - 1)</code>
+ * \li \c AxB points to the output array where the product of individual FFTs of inputs is stored.
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_fill_f32()
+ * - arm_copy_f32()
+ * - arm_cfft_radix4_init_f32()
+ * - arm_cfft_radix4_f32()
+ * - arm_cmplx_mult_cmplx_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_convolution_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_convolution_example_f32.c
+  */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE   128
+#define DELTA           (0.000001f)
+#define SNR_THRESHOLD   90
+
+/* ----------------------------------------------------------------------
+* Declare I/O buffers
+* ------------------------------------------------------------------- */
+float32_t Ak[MAX_BLOCKSIZE];        /* Input A */
+float32_t Bk[MAX_BLOCKSIZE];        /* Input B */
+float32_t AxB[MAX_BLOCKSIZE * 2];   /* Output */
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point Convolution example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+float32_t testInputA_f32[64] =
+{
+  -0.808920,   1.357369,   1.180861,  -0.504544,   1.762637,  -0.703285,
+   1.696966,   0.620571,  -0.151093,  -0.100235,  -0.872382,  -0.403579,
+  -0.860749,  -0.382648,  -1.052338,   0.128113,  -0.646269,   1.093377,
+  -2.209198,   0.471706,   0.408901,   1.266242,   0.598252,   1.176827,
+  -0.203421,   0.213596,  -0.851964,  -0.466958,   0.021841,  -0.698938,
+  -0.604107,   0.461778,  -0.318219,   0.942520,   0.577585,   0.417619,
+   0.614665,   0.563679,  -1.295073,  -0.764437,   0.952194,  -0.859222,
+  -0.618554,  -2.268542,  -1.210592,   1.655853,  -2.627219,  -0.994249,
+  -1.374704,   0.343799,   0.025619,   1.227481,  -0.708031,   0.069355,
+  -1.845228,  -1.570886,   1.010668,  -1.802084,   1.630088,   1.286090,
+  -0.161050,  -0.940794,   0.367961,   0.291907
+
+};
+
+float32_t testInputB_f32[64] =
+{
+   0.933724,   0.046881,   1.316470,   0.438345,   0.332682,   2.094885,
+   0.512081,   0.035546,   0.050894,  -2.320371,   0.168711,  -1.830493,
+  -0.444834,  -1.003242,  -0.531494,  -1.365600,  -0.155420,  -0.757692,
+  -0.431880,  -0.380021,   0.096243,  -0.695835,   0.558850,  -1.648962,
+   0.020369,  -0.363630,   0.887146,   0.845503,  -0.252864,  -0.330397,
+   1.269131,  -1.109295,  -1.027876,   0.135940,   0.116721,  -0.293399,
+  -1.349799,   0.166078,  -0.802201,   0.369367,  -0.964568,  -2.266011,
+   0.465178,   0.651222,  -0.325426,   0.320245,  -0.784178,  -0.579456,
+   0.093374,   0.604778,  -0.048225,   0.376297,  -0.394412,   0.578182,
+  -1.218141,  -1.387326,   0.692462,  -0.631297,   0.153137,  -0.638952,
+  0.635474,   -0.970468,   1.334057,  -0.111370
+};
+
+const float testRefOutput_f32[127] =
+{
+   -0.818943,    1.229484,  -0.533664,    1.016604,   0.341875,  -1.963656,
+    5.171476,    3.478033,   7.616361,    6.648384,   0.479069,   1.792012,
+   -1.295591,   -7.447818,   0.315830,  -10.657445,  -2.483469,  -6.524236,
+   -7.380591,   -3.739005,  -8.388957,    0.184147,  -1.554888,   3.786508,
+   -1.684421,    5.400610,  -1.578126,    7.403361,   8.315999,   2.080267,
+   11.077776,    2.749673,   7.138962,    2.748762,   0.660363,   0.981552,
+    1.442275,    0.552721,  -2.576892,    4.703989,   0.989156,   8.759344,
+   -0.564825,   -3.994680,   0.954710,   -5.014144,   6.592329,   1.599488,
+  -13.979146,   -0.391891,  -4.453369,   -2.311242,  -2.948764,   1.761415,
+   -0.138322,   10.433007,  -2.309103,    4.297153,   8.535523,   3.209462,
+    8.695819,    5.569919,   2.514304,    5.582029,   2.060199,   0.642280,
+    7.024616,    1.686615,  -6.481756,    1.343084,  -3.526451,   1.099073,
+   -2.965764,   -0.173723,  -4.111484,    6.528384,  -6.965658,   1.726291,
+    1.535172,   11.023435,   2.338401,   -4.690188,   1.298210,   3.943885,
+    8.407885,    5.168365,   0.684131,    1.559181,   1.859998,   2.852417,
+    8.574070,   -6.369078,   6.023458,   11.837963,  -6.027632,   4.469678,
+   -6.799093,   -2.674048,   6.250367,   -6.809971,  -3.459360,   9.112410,
+   -2.711621,   -1.336678,   1.564249,   -1.564297,  -1.296760,   8.904013,
+   -3.230109,    6.878013,  -7.819823,    3.369909,  -1.657410,  -2.007358,
+   -4.112825,    1.370685,  -3.420525,   -6.276605,   3.244873,  -3.352638,
+    1.545372,    0.902211,   0.197489,   -1.408732,   0.523390,   0.348440, 0
+};
+
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+uint32_t srcALen = 64;   /* Length of Input A */
+uint32_t srcBLen = 64;   /* Length of Input B */
+uint32_t outLen;         /* Length of convolution output */
+float32_t snr;           /* output SNR */
+
+int32_t main(void)
+{
+  arm_status status;                           /* Status of the example */
+  arm_cfft_radix4_instance_f32 cfft_instance;  /* CFFT Structure instance */
+
+  /* CFFT Structure instance pointer */
+  arm_cfft_radix4_instance_f32 *cfft_instance_ptr =
+      (arm_cfft_radix4_instance_f32*) &cfft_instance;
+
+  /* output length of convolution */
+  outLen = srcALen + srcBLen - 1;
+
+  /* Initialise the fft input buffers with all zeros */
+  arm_fill_f32(0.0,  Ak, MAX_BLOCKSIZE);
+  arm_fill_f32(0.0,  Bk, MAX_BLOCKSIZE);
+
+  /* Copy the input values to the fft input buffers */
+  arm_copy_f32(testInputA_f32,  Ak, MAX_BLOCKSIZE/2);
+  arm_copy_f32(testInputB_f32,  Bk, MAX_BLOCKSIZE/2);
+
+  /* Initialize the CFFT function to compute 64 point fft */
+  status = arm_cfft_radix4_init_f32(cfft_instance_ptr, 64, 0, 1);
+
+  /* Transform input a[n] from time domain to frequency domain A[k] */
+  arm_cfft_radix4_f32(cfft_instance_ptr, Ak);
+  /* Transform input b[n] from time domain to frequency domain B[k] */
+  arm_cfft_radix4_f32(cfft_instance_ptr, Bk);
+
+  /* Complex Multiplication of the two input buffers in frequency domain */
+  arm_cmplx_mult_cmplx_f32(Ak, Bk, AxB, MAX_BLOCKSIZE/2);
+
+  /* Initialize the CIFFT function to compute 64 point ifft */
+  status = arm_cfft_radix4_init_f32(cfft_instance_ptr, 64, 1, 1);
+
+  /* Transform the multiplication output from frequency domain to time domain,
+     that gives the convolved output  */
+  arm_cfft_radix4_f32(cfft_instance_ptr, AxB);
+
+  /* SNR Calculation */
+  snr = arm_snr_f32((float32_t *)testRefOutput_f32, AxB, srcALen + srcBLen - 1);
+
+  /* Compare the SNR with threshold to test whether the
+     computed output is matched with the reference output values. */
+  if ( snr > SNR_THRESHOLD)
+  {
+    status = ARM_MATH_SUCCESS;
+  }
+
+  if ( status != ARM_MATH_SUCCESS)
+  {
+    while (1);
+  }
+
+  while (1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.c
new file mode 100644
index 0000000..f615e6f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:        17. January 2013
+* $Revision: 	V1.4.0  b
+*
+* Project: 	    CMSIS DSP Library
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief  Caluclation of SNR
+ * @param[in]  pRef 	Pointer to the reference buffer
+ * @param[in]  pTest	Pointer to the test buffer
+ * @param[in]  buffSize	total number of samples
+ * @return     SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if (temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Converts float to fixed in q12.20 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to outputbuffer
+ * @param[in]  numSamples  number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/**
+ * @brief  Caluclates number of guard bits
+ * @param[in]  num_adds 	number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/**
+ * @brief  Apply guard bits to buffer
+ * @param[in,out]  pIn         pointer to input buffer
+ * @param[in]      numSamples  number of samples in the input buffer
+ * @param[in]      guard_bits  guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+						   uint32_t numSamples,
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/**
+ * @brief  Calculates pow(2, numShifts)
+ * @param[in]  numShifts 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }
+
+  return(val);
+}
+
+
+
+/**
+ * @brief  Converts float to fixed q14
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/**
+ * @brief  Converts float to fixed q28 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Clip the float values to +/- 1
+ * @param[in,out]  pIn           input buffer
+ * @param[in]      numSamples    number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if (pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if ( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+
+    }
+}
+
+
+
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.h b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.h
new file mode 100644
index 0000000..5a18734
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_convolution_example/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/Abstract.txt b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/Abstract.txt
new file mode 100644
index 0000000..f889251
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_dotproduct_example for
+  Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
+
+The example is configured for uVision Simulator.
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM0/startup_ARMCM0.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM0/startup_ARMCM0.s
new file mode 100644
index 0000000..bdb4be7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM0/startup_ARMCM0.s
@@ -0,0 +1,159 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM0.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM0 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    ( 22 * 4)                           ; Interrupts 10 .. 31 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM0/system_ARMCM0.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM0/system_ARMCM0.c
new file mode 100644
index 0000000..d735adf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM0/system_ARMCM0.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM3/startup_ARMCM3.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM3/startup_ARMCM3.s
new file mode 100644
index 0000000..81a33d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM3/startup_ARMCM3.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM3.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM3 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM3/system_ARMCM3.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM3/system_ARMCM3.c
new file mode 100644
index 0000000..5578e23
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM3/system_ARMCM3.c
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
new file mode 100644
index 0000000..93f7f27
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM4.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM4 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
new file mode 100644
index 0000000..cfac6b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
new file mode 100644
index 0000000..f9d954a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM7.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM7 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
new file mode 100644
index 0000000..affc835
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/arm_dotproduct_example_f32.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/arm_dotproduct_example_f32.c
new file mode 100644
index 0000000..5a05071
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_dotproduct_example/arm_dotproduct_example_f32.c
@@ -0,0 +1,178 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_dotproduct_example_f32.c
+*
+* Description:   Example code computing dot product of two vectors.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup DotproductExample Dot Product Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use of the Multiply and Add functions to perform the dot product.
+ * The dot product of two vectors is obtained by multiplying corresponding elements
+ * and summing the products.
+
+ * \par Algorithm:
+ * \par
+ * The two input vectors \c A and \c B with length \c n, are multiplied element-by-element
+ * and then added to obtain dot product.
+ * \par
+ * This is denoted by the following equation:
+ *         <pre>  dotProduct = A[0] * B[0] + A[1] * B[1] + ... + A[n-1] * B[n-1]</pre>
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html dotProduct.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c srcA_buf_f32 points to first input vector
+ * \li \c srcB_buf_f32 points to second input vector
+ * \li \c testOutput   stores dot product of the two input vectors.
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_mult_f32()
+ * - arm_add_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_dotproduct_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_dotproduct_example_f32.c
+  */
+
+#include <math.h>
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE     32
+#define DELTA           (0.000001f)
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point Dot Product example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+/* ----------------------------------------------------------------------
+** Test input data of srcA for blockSize 32
+** ------------------------------------------------------------------- */
+float32_t srcA_buf_f32[MAX_BLOCKSIZE] =
+{
+  -0.4325648115282207,  -1.6655843782380970,  0.1253323064748307,
+   0.2876764203585489,  -1.1464713506814637,  1.1909154656429988,
+   1.1891642016521031,  -0.0376332765933176,  0.3272923614086541,
+   0.1746391428209245,  -0.1867085776814394,  0.7257905482933027,
+  -0.5883165430141887,   2.1831858181971011, -0.1363958830865957,
+   0.1139313135208096,   1.0667682113591888,  0.0592814605236053,
+  -0.0956484054836690,  -0.8323494636500225,  0.2944108163926404,
+  -1.3361818579378040,   0.7143245518189522,  1.6235620644462707,
+  -0.6917757017022868,   0.8579966728282626,  1.2540014216025324,
+  -1.5937295764474768,  -1.4409644319010200,  0.5711476236581780,
+  -0.3998855777153632,   0.6899973754643451
+};
+
+/* ----------------------------------------------------------------------
+** Test input data of srcB for blockSize 32
+** ------------------------------------------------------------------- */
+float32_t srcB_buf_f32[MAX_BLOCKSIZE] =
+{
+   1.7491401329284098,  0.1325982188803279,   0.3252281811989881,
+  -0.7938091410349637,  0.3149236145048914,  -0.5272704888029532,
+   0.9322666565031119,  1.1646643544607362,  -2.0456694357357357,
+  -0.6443728590041911,  1.7410657940825480,   0.4867684246821860,
+   1.0488288293660140,  1.4885752747099299,   1.2705014969484090,
+  -1.8561241921210170,  2.1343209047321410,   1.4358467535865909,
+  -0.9173023332875400, -1.1060770780029008,   0.8105708062681296,
+   0.6985430696369063, -0.4015827425012831,   1.2687512030669628,
+  -0.7836083053674872,  0.2132664971465569,   0.7878984786088954,
+   0.8966819356782295, -0.1869172943544062,   1.0131816724341454,
+   0.2484350696132857,  0.0596083377937976
+};
+
+/* Reference dot product output */
+float32_t  refDotProdOut = 5.9273644806352142;
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+float32_t multOutput[MAX_BLOCKSIZE];  /* Intermediate output */
+float32_t testOutput;  /* Final ouput */
+
+arm_status status;   /* Status of the example */
+
+int32_t main(void)
+{
+  uint32_t i;       /* Loop counter */
+  float32_t diff;     /* Difference between reference and test outputs */
+
+  /* Multiplication of two input buffers */
+  arm_mult_f32(srcA_buf_f32, srcB_buf_f32, multOutput, MAX_BLOCKSIZE);
+
+  /* Accumulate the multiplication output values to
+     get the dot product of the two inputs */
+  for(i=0; i< MAX_BLOCKSIZE; i++)
+  {
+    arm_add_f32(&testOutput, &multOutput[i], &testOutput, 1);
+  }
+
+  /* absolute value of difference between ref and test */
+  diff = fabsf(refDotProdOut - testOutput);
+
+  /* Comparison of dot product value with reference */
+  if (diff > DELTA)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  if ( status == ARM_MATH_TEST_FAILURE)
+  {
+    while (1);
+  }
+
+  while (1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/Abstract.txt b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/Abstract.txt
new file mode 100644
index 0000000..37bea21
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_fft_bin_example for
+  Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
+
+The example is configured for uVision Simulator.
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM0/startup_ARMCM0.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM0/startup_ARMCM0.s
new file mode 100644
index 0000000..bdb4be7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM0/startup_ARMCM0.s
@@ -0,0 +1,159 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM0.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM0 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    ( 22 * 4)                           ; Interrupts 10 .. 31 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM0/system_ARMCM0.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM0/system_ARMCM0.c
new file mode 100644
index 0000000..d735adf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM0/system_ARMCM0.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM3/startup_ARMCM3.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM3/startup_ARMCM3.s
new file mode 100644
index 0000000..81a33d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM3/startup_ARMCM3.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM3.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM3 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM3/system_ARMCM3.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM3/system_ARMCM3.c
new file mode 100644
index 0000000..5578e23
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM3/system_ARMCM3.c
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
new file mode 100644
index 0000000..93f7f27
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM4.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM4 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
new file mode 100644
index 0000000..cfac6b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
new file mode 100644
index 0000000..f9d954a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM7.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM7 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
new file mode 100644
index 0000000..affc835
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_data.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_data.c
new file mode 100644
index 0000000..10f3e12
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_data.c
@@ -0,0 +1,308 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	     	arm_fft_bin_data.c
+*   
+* Description:	 Data file used for example code
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+ * -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+Test Input signal contains 10KHz signal + Uniformly distributed white noise
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32_10khz[2048] = 
+{   
+-0.865129623056441, 	0.000000000000000, 	-2.655020678073846, 	0.000000000000000, 	0.600664612949661, 	0.000000000000000, 	0.080378093886515, 	0.000000000000000, 	
+-2.899160484012034, 	0.000000000000000, 	2.563004262857762, 	0.000000000000000, 	3.078328403304206, 	0.000000000000000, 	0.105906778385130, 	0.000000000000000, 	
+0.048366940168201, 	0.000000000000000, 	-0.145696461188734, 	0.000000000000000, 	-0.023417155362879, 	0.000000000000000, 	2.127729174988954, 	0.000000000000000, 	
+-1.176633086028377, 	0.000000000000000, 	3.690223557991855, 	0.000000000000000, 	-0.622791766173194, 	0.000000000000000, 	0.722837373872203, 	0.000000000000000, 	
+2.739754205367484, 	0.000000000000000, 	-0.062610410524552, 	0.000000000000000, 	-0.891296810967338, 	0.000000000000000, 	-1.845872258871811, 	0.000000000000000, 	
+1.195039415434387, 	0.000000000000000, 	-2.177388969045026, 	0.000000000000000, 	1.078649103637905, 	0.000000000000000, 	2.570976050490193, 	0.000000000000000, 	
+-1.383551403404574, 	0.000000000000000, 	2.392141424058873, 	0.000000000000000, 	2.858002843205065, 	0.000000000000000, 	-3.682433899725536, 	0.000000000000000, 	
+-3.488146646451150, 	0.000000000000000, 	1.323468578888120, 	0.000000000000000, 	-0.099771155430726, 	0.000000000000000, 	1.561168082500454, 	0.000000000000000, 	
+1.025026795103179, 	0.000000000000000, 	0.928841900171200, 	0.000000000000000, 	2.930499509864950, 	0.000000000000000, 	2.013349089766430, 	0.000000000000000, 	
+2.381676148486737, 	0.000000000000000, 	-3.081062307950236, 	0.000000000000000, 	-0.389579115537544, 	0.000000000000000, 	0.181540149166620, 	0.000000000000000, 	
+-2.601953341353208, 	0.000000000000000, 	0.333435137783218, 	0.000000000000000, 	-2.812945856162965, 	0.000000000000000, 	2.649109640172910, 	0.000000000000000, 	
+-1.003963025744654, 	0.000000000000000, 	1.552460768755035, 	0.000000000000000, 	0.088641345335247, 	0.000000000000000, 	-2.519951327113426, 	0.000000000000000, 	
+-4.341348988610527, 	0.000000000000000, 	0.557772429359965, 	0.000000000000000, 	-1.671267412948494, 	0.000000000000000, 	0.733951350960387, 	0.000000000000000, 	
+0.409263788034864, 	0.000000000000000, 	3.566033071952806, 	0.000000000000000, 	1.882565173848352, 	0.000000000000000, 	-1.106017073793287, 	0.000000000000000, 	
+0.154456720778718, 	0.000000000000000, 	-2.513205795512153, 	0.000000000000000, 	0.310978660939421, 	0.000000000000000, 	0.579706500111723, 	0.000000000000000, 	
+0.000086383683251, 	0.000000000000000, 	-1.311866980897721, 	0.000000000000000, 	1.840007477574986, 	0.000000000000000, 	-3.253005768451345, 	0.000000000000000, 	
+1.462584328739432, 	0.000000000000000, 	1.610103610851738, 	0.000000000000000, 	0.761914676858907, 	0.000000000000000, 	0.974541361089834, 	0.000000000000000, 	
+0.686845845885983, 	0.000000000000000, 	1.849153122025191, 	0.000000000000000, 	0.787800410401453, 	0.000000000000000, 	-1.187438909666279, 	0.000000000000000, 	
+-0.754937911044720, 	0.000000000000000, 	0.084373858395232, 	0.000000000000000, 	-2.600269011710521, 	0.000000000000000, 	-0.962982842142644, 	0.000000000000000, 	
+-0.369328108540868, 	0.000000000000000, 	0.810791418361879, 	0.000000000000000, 	3.587016488699641, 	0.000000000000000, 	-0.520776145083723, 	0.000000000000000, 	
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+0.991348618739939, 	0.000000000000000, 	1.974804904926325, 	0.000000000000000, 	0.975783450796698, 	0.000000000000000, 	-3.057119549071503, 	0.000000000000000, 	
+-3.899429237481194, 	0.000000000000000, 	0.362439009175350, 	0.000000000000000, 	-1.124461670265618, 	0.000000000000000, 	1.806000360163583, 	0.000000000000000, 	
+-2.768333362600288, 	0.000000000000000, 	0.244387897900379, 	0.000000000000000, 	0.908767296720926, 	0.000000000000000, 	1.254669374391882, 	0.000000000000000, 	
+-1.420441929463686, 	0.000000000000000, 	-0.875658895966293, 	0.000000000000000, 	0.183824603376167, 	0.000000000000000, 	-3.361653917011686, 	0.000000000000000, 	
+-0.796615630227952, 	0.000000000000000, 	-1.660226542658673, 	0.000000000000000, 	1.654439358307226, 	0.000000000000000, 	2.782812946709771, 	0.000000000000000, 	
+1.418064412811531, 	0.000000000000000, 	-0.819645647243761, 	0.000000000000000, 	0.807724772592699, 	0.000000000000000, 	-0.941967976379298, 	0.000000000000000, 	
+-2.312768306047469, 	0.000000000000000, 	0.872426936477443, 	0.000000000000000, 	0.919528961530845, 	0.000000000000000, 	-2.084904575264847, 	0.000000000000000, 	
+-1.972464868459322, 	0.000000000000000, 	-1.050687203338466, 	0.000000000000000, 	1.659579707007902, 	0.000000000000000, 	-1.820640014705855, 	0.000000000000000, 	
+-1.195078061671045, 	0.000000000000000, 	-1.639773173762048, 	0.000000000000000, 	1.616744338157063, 	0.000000000000000, 	4.019216096811563, 	0.000000000000000, 	
+3.461021102549681, 	0.000000000000000, 	1.642352734361484, 	0.000000000000000, 	-0.046354693720813, 	0.000000000000000, 	-0.041936252359677, 	0.000000000000000, 	
+-2.393307519480551, 	0.000000000000000, 	-0.341471634615121, 	0.000000000000000, 	-0.392073595257017, 	0.000000000000000, 	-0.219299018372730, 	0.000000000000000, 	
+-2.016391579662071, 	0.000000000000000, 	-0.653096251969787, 	0.000000000000000, 	1.466353155666821, 	0.000000000000000, 	-2.872058864320412, 	0.000000000000000, 	
+-2.157180779503830, 	0.000000000000000, 	0.723257479841560, 	0.000000000000000, 	3.769951308104384, 	0.000000000000000, 	-1.923392042420024, 	0.000000000000000, 	
+0.644899359942840, 	0.000000000000000, 	-2.090226891621437, 	0.000000000000000, 	-0.277043982890403, 	0.000000000000000, 	-0.528271428321112, 	0.000000000000000, 	
+2.518120645960652, 	0.000000000000000, 	1.040820431111488, 	0.000000000000000, 	-4.560583754742486, 	0.000000000000000, 	-0.226899614918836, 	0.000000000000000, 	
+1.713331231108959, 	0.000000000000000, 	-3.293941019163642, 	0.000000000000000, 	-1.113331444648290, 	0.000000000000000, 	-1.032308423149906, 	0.000000000000000, 	
+1.593774272982443, 	0.000000000000000, 	-1.246840475090529, 	0.000000000000000, 	-0.190344684920137, 	0.000000000000000, 	-1.719386356896355, 	0.000000000000000, 	
+-2.827721754659679, 	0.000000000000000, 	-0.092438285279020, 	0.000000000000000, 	-0.565844430675246, 	0.000000000000000, 	-1.077916121691716, 	0.000000000000000, 	
+-1.208665809504693, 	0.000000000000000, 	-2.996014266381254, 	0.000000000000000, 	2.888573323402423, 	0.000000000000000, 	2.829507048720695, 	0.000000000000000, 	
+-0.859177034120755, 	0.000000000000000, 	-1.969302377743254, 	0.000000000000000, 	0.777437674525362, 	0.000000000000000, 	-0.124910190157646, 	0.000000000000000, 	
+0.129875493115290, 	0.000000000000000, 	-4.192139262163992, 	0.000000000000000, 	3.023496047962126, 	0.000000000000000, 	1.149775163736637, 	0.000000000000000, 	
+2.038151304801731, 	0.000000000000000, 	3.016122489841263, 	0.000000000000000, 	-4.829481812137012, 	0.000000000000000, 	-1.668436615909279, 	0.000000000000000, 	
+0.958586784636918, 	0.000000000000000, 	1.550652410058678, 	0.000000000000000, 	-1.456305257976716, 	0.000000000000000, 	-0.079588392344731, 	0.000000000000000, 	
+-2.453213599392345, 	0.000000000000000, 	0.296795909127105, 	0.000000000000000, 	-0.253426616607643, 	0.000000000000000, 	1.418937160028195, 	0.000000000000000, 	
+-1.672949529066915, 	0.000000000000000, 	-1.620990298572947, 	0.000000000000000, 	-1.085103073196045, 	0.000000000000000, 	0.738606361195386, 	0.000000000000000, 	
+-2.097831202853255, 	0.000000000000000, 	2.711952282071310, 	0.000000000000000, 	1.498539238246888, 	0.000000000000000, 	1.317457282535915, 	0.000000000000000, 	
+-0.302765938349717, 	0.000000000000000, 	-0.044623707947201, 	0.000000000000000, 	2.337405215062395, 	0.000000000000000, 	-3.980689173859100, 	0.000000000000000, 	
+
+
+};
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_example_f32.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_example_f32.c
new file mode 100644
index 0000000..91d15b5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fft_bin_example/arm_fft_bin_example_f32.c
@@ -0,0 +1,158 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:	     arm_fft_bin_example_f32.c
+*
+* Description:   Example code demonstrating calculation of Max energy bin of
+*                frequency domain of input signal.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup FrequencyBin Frequency Bin Example
+ *
+ * \par Description
+ * \par
+ * Demonstrates the calculation of the maximum energy bin in the frequency
+ * domain of the input signal with the use of Complex FFT, Complex
+ * Magnitude, and Maximum functions.
+ *
+ * \par Algorithm:
+ * \par
+ * The input test signal contains a 10 kHz signal with uniformly distributed white noise.
+ * Calculating the FFT of the input signal will give us the maximum energy of the
+ * bin corresponding to the input frequency of 10 kHz.
+ *
+ * \par Block Diagram:
+ * \image html FFTBin.gif "Block Diagram"
+ * \par
+ * The figure below shows the time domain signal of 10 kHz signal with
+ * uniformly distributed white noise, and the next figure shows the input
+ * in the frequency domain. The bin with maximum energy corresponds to 10 kHz signal.
+ * \par
+ * \image html FFTBinInput.gif "Input signal in Time domain"
+ * \image html FFTBinOutput.gif "Input signal in Frequency domain"
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32_10khz points to the input data
+ * \li \c testOutput points to the output data
+ * \li \c fftSize length of FFT
+ * \li \c ifftFlag flag for the selection of CFFT/CIFFT
+ * \li \c doBitReverse Flag for selection of normal order or bit reversed order
+ * \li \c refIndex reference index value at which maximum energy of bin ocuurs
+ * \li \c testIndex calculated index value at which maximum energy of bin ocuurs
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_cfft_f32()
+ * - arm_cmplx_mag_f32()
+ * - arm_max_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_fft_bin_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_fft_bin_example_f32.c
+  */
+
+
+#include "arm_math.h"
+#include "arm_const_structs.h"
+
+#define TEST_LENGTH_SAMPLES 2048
+
+/* -------------------------------------------------------------------
+* External Input and Output buffer Declarations for FFT Bin Example
+* ------------------------------------------------------------------- */
+extern float32_t testInput_f32_10khz[TEST_LENGTH_SAMPLES];
+static float32_t testOutput[TEST_LENGTH_SAMPLES/2];
+
+/* ------------------------------------------------------------------
+* Global variables for FFT Bin Example
+* ------------------------------------------------------------------- */
+uint32_t fftSize = 1024;
+uint32_t ifftFlag = 0;
+uint32_t doBitReverse = 1;
+
+/* Reference index at which max energy of bin ocuurs */
+uint32_t refIndex = 213, testIndex = 0;
+
+/* ----------------------------------------------------------------------
+* Max magnitude FFT Bin test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+
+  arm_status status;
+  float32_t maxValue;
+
+  status = ARM_MATH_SUCCESS;
+
+  /* Process the data through the CFFT/CIFFT module */
+  arm_cfft_f32(&arm_cfft_sR_f32_len1024, testInput_f32_10khz, ifftFlag, doBitReverse);
+
+  /* Process the data through the Complex Magnitude Module for
+  calculating the magnitude at each bin */
+  arm_cmplx_mag_f32(testInput_f32_10khz, testOutput, fftSize);
+
+  /* Calculates maxValue and returns corresponding BIN value */
+  arm_max_f32(testOutput, fftSize, &maxValue, &testIndex);
+
+  if (testIndex !=  refIndex)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  /* ----------------------------------------------------------------------
+  ** Loop here if the signals fail the PASS check.
+  ** This denotes a test failure
+  ** ------------------------------------------------------------------- */
+
+  if ( status != ARM_MATH_SUCCESS)
+  {
+    while (1);
+  }
+
+  while (1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/Abstract.txt b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/Abstract.txt
new file mode 100644
index 0000000..9189b7c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_fir_example for
+  Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
+
+The example is configured for uVision Simulator.
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM0/startup_ARMCM0.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM0/startup_ARMCM0.s
new file mode 100644
index 0000000..bdb4be7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM0/startup_ARMCM0.s
@@ -0,0 +1,159 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM0.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM0 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    ( 22 * 4)                           ; Interrupts 10 .. 31 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM0/system_ARMCM0.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM0/system_ARMCM0.c
new file mode 100644
index 0000000..d735adf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM0/system_ARMCM0.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM3/startup_ARMCM3.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM3/startup_ARMCM3.s
new file mode 100644
index 0000000..81a33d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM3/startup_ARMCM3.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM3.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM3 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM3/system_ARMCM3.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM3/system_ARMCM3.c
new file mode 100644
index 0000000..5578e23
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM3/system_ARMCM3.c
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
new file mode 100644
index 0000000..93f7f27
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM4.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM4 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
new file mode 100644
index 0000000..cfac6b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
new file mode 100644
index 0000000..f9d954a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM7.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM7 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
new file mode 100644
index 0000000..affc835
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_data.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_data.c
new file mode 100644
index 0000000..3a95fc5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_data.c
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	     	arm_fir_data.c
+*   
+* Description:	 Data file used for example code
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+ * -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+** Test input signal contains 1000Hz + 15000 Hz
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32_1kHz_15kHz[320] =
+{
++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
+-0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, 
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, 
++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, 
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, 
++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, 
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, 
+-0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
+-0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, 
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, 
++0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, 
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, 
+-0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+-0.8660254038f, -0.4619397663f, -1.3194792169f, -1.1827865776f, -0.5000000000f, -1.1827865776f, -1.3194792169f, -0.4619397663f, 
+-0.8660254038f, -1.2552931065f, -0.3535533906f, -0.4174197128f, -1.0000000000f, -0.1913417162f, +0.0947343455f, -0.5924659585f, 
+-0.0000000000f, +0.5924659585f, -0.0947343455f, +0.1913417162f, +1.0000000000f, +0.4174197128f, +0.3535533906f, +1.2552931065f, 
++0.8660254038f, +0.4619397663f, +1.3194792169f, +1.1827865776f, +0.5000000000f, +1.1827865776f, +1.3194792169f, +0.4619397663f, 
++0.8660254038f, +1.2552931065f, +0.3535533906f, +0.4174197128f, +1.0000000000f, +0.1913417162f, -0.0947343455f, +0.5924659585f, 
++0.0000000000f, -0.5924659585f, +0.0947343455f, -0.1913417162f, -1.0000000000f, -0.4174197128f, -0.3535533906f, -1.2552931065f, 
+};
+
+float32_t refOutput[320] = 
+{
++0.0000000000f, -0.0010797829f, -0.0007681386f, -0.0001982932f, +0.0000644313f, +0.0020854271f, +0.0036891871f, +0.0015855941f, 
+-0.0026280805f, -0.0075907658f, -0.0119390538f, -0.0086665968f, +0.0088981202f, +0.0430539279f, +0.0974468742f, +0.1740405600f, 
++0.2681416601f, +0.3747720089f, +0.4893362230f, +0.6024154672f, +0.7058740791f, +0.7968348987f, +0.8715901940f, +0.9277881093f, 
++0.9682182661f, +0.9934674267f, +1.0012052245f, +0.9925859371f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, 
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, -0.0000000000f, -0.1309866321f, 
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, 
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, 
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, 
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, 
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, 
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, -0.0000000000f, -0.1309866321f, 
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, 
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, 
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, 
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, 
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, 
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, -0.0000000000f, -0.1309866321f, 
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, 
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, 
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, 
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, 
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, 
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, +0.0000000000f, -0.1309866321f, 
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, 
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, 
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, 
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, 
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, 
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, +0.0000000000f, -0.1309866321f, 
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, 
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, 
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, -0.0000000000f, +0.1309866321f, 
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, 
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f, 
++0.7085021596f, +0.6100062330f, +0.5012752767f, +0.3834386057f, +0.2592435399f, +0.1309866321f, +0.0000000000f, -0.1309866321f, 
+-0.2592435399f, -0.3834386057f, -0.5012752767f, -0.6100062330f, -0.7085021596f, -0.7952493046f, -0.8679010068f, -0.9257026822f, 
+-0.9681538347f, -0.9936657199f, -1.0019733630f, -0.9936657199f, -0.9681538347f, -0.9257026822f, -0.8679010068f, -0.7952493046f, 
+-0.7085021596f, -0.6100062330f, -0.5012752767f, -0.3834386057f, -0.2592435399f, -0.1309866321f, +0.0000000000f, +0.1309866321f, 
++0.2592435399f, +0.3834386057f, +0.5012752767f, +0.6100062330f, +0.7085021596f, +0.7952493046f, +0.8679010068f, +0.9257026822f, 
++0.9681538347f, +0.9936657199f, +1.0019733630f, +0.9936657199f, +0.9681538347f, +0.9257026822f, +0.8679010068f, +0.7952493046f 
+};
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_example_f32.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_example_f32.c
new file mode 100644
index 0000000..3dd9f5a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/arm_fir_example_f32.c
@@ -0,0 +1,233 @@
+/* ----------------------------------------------------------------------
+ * Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+ *
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+ * Title:        arm_fir_example_f32.c
+ *
+ * Description:  Example code demonstrating how an FIR filter can be used
+ *               as a low pass filter.
+ *
+ * Target Processor: Cortex-M4/Cortex-M3
+ *
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup FIRLPF FIR Lowpass Filter Example
+ *
+ * \par Description:
+ * \par
+ * Removes high frequency signal components from the input using an FIR lowpass filter.
+ * The example demonstrates how to configure an FIR filter and then pass data through
+ * it in a block-by-block fashion.
+ * \image html FIRLPF_signalflow.gif
+ *
+ * \par Algorithm:
+ * \par
+ * The input signal is a sum of two sine waves:  1 kHz and 15 kHz.
+ * This is processed by an FIR lowpass filter with cutoff frequency 6 kHz.
+ * The lowpass filter eliminates the 15 kHz signal leaving only the 1 kHz sine wave at the output.
+ * \par
+ * The lowpass filter was designed using MATLAB with a sample rate of 48 kHz and
+ * a length of 29 points.
+ * The MATLAB code to generate the filter coefficients is shown below:
+ * <pre>
+ *     h = fir1(28, 6/24);
+ * </pre>
+ * The first argument is the "order" of the filter and is always one less than the desired length.
+ * The second argument is the normalized cutoff frequency.  This is in the range 0 (DC) to 1.0 (Nyquist).
+ * A 6 kHz cutoff with a Nyquist frequency of 24 kHz lies at a normalized frequency of 6/24 = 0.25.
+ * The CMSIS FIR filter function requires the coefficients to be in time reversed order.
+ * <pre>
+ *     fliplr(h)
+ * </pre>
+ * The resulting filter coefficients and are shown below.
+ * Note that the filter is symmetric (a property of linear phase FIR filters)
+ * and the point of symmetry is sample 14.  Thus the filter will have a delay of
+ * 14 samples for all frequencies.
+ * \par
+ * \image html FIRLPF_coeffs.gif
+ * \par
+ * The frequency response of the filter is shown next.
+ * The passband gain of the filter is 1.0 and it reaches 0.5 at the cutoff frequency 6 kHz.
+ * \par
+ * \image html FIRLPF_response.gif
+ * \par
+ * The input signal is shown below.
+ * The left hand side shows the signal in the time domain while the right hand side is a frequency domain representation.
+ * The two sine wave components can be clearly seen.
+ * \par
+ * \image html FIRLPF_input.gif
+ * \par
+ * The output of the filter is shown below.  The 15 kHz component has been eliminated.
+ * \par
+ * \image html FIRLPF_output.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32_1kHz_15kHz points to the input data
+ * \li \c refOutput points to the reference output data
+ * \li \c testOutput points to the test output data
+ * \li \c firStateF32 points to state buffer
+ * \li \c firCoeffs32 points to coefficient buffer
+ * \li \c blockSize number of samples processed at a time
+ * \li \c numBlocks number of frames
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_fir_init_f32()
+ * - arm_fir_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_fir_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_fir_example_f32.c
+ */
+
+/* ----------------------------------------------------------------------
+** Include Files
+** ------------------------------------------------------------------- */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* ----------------------------------------------------------------------
+** Macro Defines
+** ------------------------------------------------------------------- */
+
+#define TEST_LENGTH_SAMPLES  320
+#define SNR_THRESHOLD_F32    140.0f
+#define BLOCK_SIZE            32
+#define NUM_TAPS              29
+
+/* -------------------------------------------------------------------
+ * The input signal and reference output (computed with MATLAB)
+ * are defined externally in arm_fir_lpf_data.c.
+ * ------------------------------------------------------------------- */
+
+extern float32_t testInput_f32_1kHz_15kHz[TEST_LENGTH_SAMPLES];
+extern float32_t refOutput[TEST_LENGTH_SAMPLES];
+
+/* -------------------------------------------------------------------
+ * Declare Test output buffer
+ * ------------------------------------------------------------------- */
+
+static float32_t testOutput[TEST_LENGTH_SAMPLES];
+
+/* -------------------------------------------------------------------
+ * Declare State buffer of size (numTaps + blockSize - 1)
+ * ------------------------------------------------------------------- */
+
+static float32_t firStateF32[BLOCK_SIZE + NUM_TAPS - 1];
+
+/* ----------------------------------------------------------------------
+** FIR Coefficients buffer generated using fir1() MATLAB function.
+** fir1(28, 6/24)
+** ------------------------------------------------------------------- */
+
+const float32_t firCoeffs32[NUM_TAPS] = {
+  -0.0018225230f, -0.0015879294f, +0.0000000000f, +0.0036977508f, +0.0080754303f, +0.0085302217f, -0.0000000000f, -0.0173976984f,
+  -0.0341458607f, -0.0333591565f, +0.0000000000f, +0.0676308395f, +0.1522061835f, +0.2229246956f, +0.2504960933f, +0.2229246956f,
+  +0.1522061835f, +0.0676308395f, +0.0000000000f, -0.0333591565f, -0.0341458607f, -0.0173976984f, -0.0000000000f, +0.0085302217f,
+  +0.0080754303f, +0.0036977508f, +0.0000000000f, -0.0015879294f, -0.0018225230f
+};
+
+/* ------------------------------------------------------------------
+ * Global variables for FIR LPF Example
+ * ------------------------------------------------------------------- */
+
+uint32_t blockSize = BLOCK_SIZE;
+uint32_t numBlocks = TEST_LENGTH_SAMPLES/BLOCK_SIZE;
+
+float32_t  snr;
+
+/* ----------------------------------------------------------------------
+ * FIR LPF Example
+ * ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+  uint32_t i;
+  arm_fir_instance_f32 S;
+  arm_status status;
+  float32_t  *inputF32, *outputF32;
+
+  /* Initialize input and output buffer pointers */
+  inputF32 = &testInput_f32_1kHz_15kHz[0];
+  outputF32 = &testOutput[0];
+
+  /* Call FIR init function to initialize the instance structure. */
+  arm_fir_init_f32(&S, NUM_TAPS, (float32_t *)&firCoeffs32[0], &firStateF32[0], blockSize);
+
+  /* ----------------------------------------------------------------------
+  ** Call the FIR process function for every blockSize samples
+  ** ------------------------------------------------------------------- */
+
+  for(i=0; i < numBlocks; i++)
+  {
+    arm_fir_f32(&S, inputF32 + (i * blockSize), outputF32 + (i * blockSize), blockSize);
+  }
+
+  /* ----------------------------------------------------------------------
+  ** Compare the generated output against the reference output computed
+  ** in MATLAB.
+  ** ------------------------------------------------------------------- */
+
+  snr = arm_snr_f32(&refOutput[0], &testOutput[0], TEST_LENGTH_SAMPLES);
+
+  if (snr < SNR_THRESHOLD_F32)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+  else
+  {
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* ----------------------------------------------------------------------
+  ** Loop here if the signal does not match the reference output.
+  ** ------------------------------------------------------------------- */
+
+  if ( status != ARM_MATH_SUCCESS)
+  {
+    while (1);
+  }
+
+  while (1);                             /* main function does not return */
+}
+
+/** \endlink */
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.c
new file mode 100644
index 0000000..f615e6f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:        17. January 2013
+* $Revision: 	V1.4.0  b
+*
+* Project: 	    CMSIS DSP Library
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief  Caluclation of SNR
+ * @param[in]  pRef 	Pointer to the reference buffer
+ * @param[in]  pTest	Pointer to the test buffer
+ * @param[in]  buffSize	total number of samples
+ * @return     SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if (temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Converts float to fixed in q12.20 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to outputbuffer
+ * @param[in]  numSamples  number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/**
+ * @brief  Caluclates number of guard bits
+ * @param[in]  num_adds 	number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/**
+ * @brief  Apply guard bits to buffer
+ * @param[in,out]  pIn         pointer to input buffer
+ * @param[in]      numSamples  number of samples in the input buffer
+ * @param[in]      guard_bits  guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+						   uint32_t numSamples,
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/**
+ * @brief  Calculates pow(2, numShifts)
+ * @param[in]  numShifts 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }
+
+  return(val);
+}
+
+
+
+/**
+ * @brief  Converts float to fixed q14
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/**
+ * @brief  Converts float to fixed q28 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Clip the float values to +/- 1
+ * @param[in,out]  pIn           input buffer
+ * @param[in]      numSamples    number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if (pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if ( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+
+    }
+}
+
+
+
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.h b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.h
new file mode 100644
index 0000000..5a18734
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_fir_example/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/Abstract.txt b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/Abstract.txt
new file mode 100644
index 0000000..c2452b6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_graphic_equalizer_example for
+  Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
+
+The example is configured for uVision Simulator.
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM0/startup_ARMCM0.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM0/startup_ARMCM0.s
new file mode 100644
index 0000000..bdb4be7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM0/startup_ARMCM0.s
@@ -0,0 +1,159 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM0.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM0 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    ( 22 * 4)                           ; Interrupts 10 .. 31 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM0/system_ARMCM0.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM0/system_ARMCM0.c
new file mode 100644
index 0000000..d735adf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM0/system_ARMCM0.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM3/startup_ARMCM3.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM3/startup_ARMCM3.s
new file mode 100644
index 0000000..81a33d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM3/startup_ARMCM3.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM3.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM3 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM3/system_ARMCM3.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM3/system_ARMCM3.c
new file mode 100644
index 0000000..5578e23
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM3/system_ARMCM3.c
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
new file mode 100644
index 0000000..93f7f27
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM4.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM4 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
new file mode 100644
index 0000000..cfac6b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
new file mode 100644
index 0000000..f9d954a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM7.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM7 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
new file mode 100644
index 0000000..affc835
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_data.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_data.c
new file mode 100644
index 0000000..b6ab8c9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_data.c
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	     	arm_graphic_equalizer_data.c
+*   
+* Description:	 Data file used for example code
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+ * -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+float32_t testRefOutput_f32[320] = {
+
+0.000000000000000000,	0.001898396760225296,	0.004215449094772339,	0.007432077080011368,	0.010948467999696732,	0.015026375651359558,	0.019191544502973557,	0.023574527353048325,	
+0.027919445186853409,	0.032277785241603851,	0.036551639437675476,	0.040732793509960175,	0.044799156486988068,	0.048710610717535019,	0.052476800978183746,	0.056059073656797409,	
+0.059482168406248093,	0.062726479023694992,	0.065821025520563126,	0.068763464689254761,	0.071577839553356171,	0.074270240962505341,	0.076856281608343124,	0.079344697296619415,	
+0.081745062023401260,	0.084067162126302719,	0.086318407207727432,	0.088509257882833481,	0.090647127479314804,	0.092742368578910828,	0.094802625477313995,	0.096837285906076431,	
+0.098853722214698792,	0.100859899073839190,	0.102862443774938580,	0.104867763817310330,	0.106881409883499150,	0.108908228576183320,	0.110952425748109820,	0.113017357885837550,	
+0.115105822682380680,	0.117219865322113040,	0.119361080229282380,	0.121530555188655850,	0.123729091137647630,	0.125957202166318890,	0.128215309232473370,	0.130503740161657330,	
+0.132822841405868530,	0.135173004120588300,	0.137554679065942760,	0.139968376606702800,	0.142414685338735580,	0.144894234836101530,	0.147407654672861100,	0.149955596774816510,	
+0.152538605034351350,	0.155157200992107390,	0.157811731100082400,	0.160502441227436070,	0.163229387253522870,	0.165992442518472670,	0.168791320174932480,	0.171625509858131410,	
+0.174494370818138120,	0.177397061139345170,	0.180332608520984650,	0.183299910277128220,	0.186297744512557980,	0.189324837177991870,	0.192379791289567950,	0.195461250841617580,	
+0.198567759245634080,	0.201697919517755510,	0.204850304871797560,	0.208023533225059510,	0.211216274648904800,	0.214427210390567780,	0.217655111104249950,	0.220898788422346120,	
+0.224157124757766720,	0.227429077029228210,	0.230713658034801480,	0.234009962528944020,	0.237317133694887160,	0.240634419023990630,	0.243961080908775330,	0.247296508401632310,	
+0.250640105456113820,	0.253991369158029560,	0.257349837571382520,	0.260715119540691380,	0.264086868613958360,	0.267464816570281980,	0.270848698914051060,	0.274238351732492450,	
+0.277633611112833020,	0.281034380197525020,	0.284440591931343080,	0.287852220237255100,	0.291269283741712570,	0.294691801071166990,	0.298119872808456420,	0.301553562283515930,	
+0.304993014782667160,	0.308438356965780260,	0.311889752745628360,	0.315347377210855480,	0.318811416625976560,	0.322282072156667710,	0.325759567320346830,	0.329244095832109450,	
+0.332735907286405560,	0.336235217750072480,	0.339742250740528110,	0.343257248401641850,	0.346780419349670410,	0.350311983376741410,	0.353852160274982450,	0.357401121407747270,	
+0.360959105193614960,	0.364526227116584780,	0.368102725595235820,	0.371688675135374070,	0.375284302979707720,	0.378889638930559160,	0.382504884153604510,	0.386130042374134060,	
+0.389765247702598570,	0.393410529941320420,	0.397065933793783190,	0.400731507688760760,	0.404407206922769550,	0.408093083649873730,	0.411789052188396450,	0.415495119988918300,	
+0.419211201369762420,	0.422937240451574330,	0.426673140376806260,	0.430418811738491060,	0.434174135327339170,	0.437938995659351350,	0.441713258624076840,	0.445496778935194020,	
+0.449289388954639430,	0.453090950846672060,	0.456901267170906070,	0.460720170289278030,	0.464547459036111830,	0.468382950872182850,	0.472226426005363460,	0.476077698171138760,	
+0.479936532676219940,	0.483802750706672670,	0.487676106393337250,	0.491556398570537570,	0.495443399995565410,	0.499336875975131990,	0.503236617892980580,	0.507142387330532070,	
+0.511053957045078280,	0.514971107244491580,	0.518893606960773470,	0.522821225225925450,	0.526753749698400500,	0.530690938234329220,	0.534632585942745210,	0.538578454405069350,	
+0.542528338730335240,	0.546481993049383160,	0.550439231097698210,	0.554399792104959490,	0.558363504707813260,	0.562330115586519240,	0.566299438476562500,	0.570271246135234830,	
+0.574245333671569820,	0.578221492469310760,	0.582199502736330030,	0.586179181933403020,	0.590160276740789410,	0.594142623245716090,	0.598125983029603960,	0.602110169827938080,	
+0.606094967573881150,	0.610080175101757050,	0.614065583795309070,	0.618050977587699890,	0.622036151587963100,	0.626020893454551700,	0.630004994571208950,	0.633988231420516970,	
+0.637970402836799620,	0.641951277852058410,	0.645930647850036620,	0.649908289313316350,	0.653883971273899080,	0.657857488840818410,	0.661828581243753430,	0.665797054767608640,	
+0.669762641191482540,	0.673725124448537830,	0.677684243768453600,	0.681639779359102250,	0.685591462999582290,	0.689539063721895220,	0.693482317030429840,	0.697420965880155560,	
+0.701354760676622390,	0.705283410847187040,	0.709206689149141310,	0.713124278932809830,	0.717035952955484390,	0.720941375941038130,	0.724840316921472550,	0.728732451796531680,	
+0.732617516070604320,	0.736495196819305420,	0.740365199744701390,	0.744227230548858640,	0.748080968856811520,	0.751926124095916750,	0.755762357264757160,	0.759589381515979770,	
+0.763406842947006230,	0.767214450985193250,	0.771011855453252790,	0.774798732250928880,	0.778574761003255840,	0.782339565455913540,	0.786092851310968400,	0.789834223687648770,	
+0.793563373386859890,	0.797279909253120420,	0.800983514636754990,	0.804673787206411360,	0.808350402861833570,	0.812012966722249980,	0.815661124885082240,	0.819294504821300510,	
+0.822912722826004030,	0.826515413820743560,	0.830102190375328060,	0.833672653883695600,	0.837226435542106630,	0.840763118118047710,	0.844282336533069610,	0.847783654928207400,	
+0.851266715675592420,	0.854731071740388870,	0.858176350593566890,	0.861602116376161580,	0.865007970482110980,	0.868393491953611370,	0.871758259832859040,	0.875101849436759950,	
+0.878423850983381270,	0.881723806262016300,	0.885001312941312790,	0.888255912810564040,	0.891487173736095430,	0.894694659858942030,	0.897877920418977740,	0.901036512106657030,	
+0.904169965535402300,	0.907277844846248630,	0.910359673202037810,	0.913415014743804930,	0.916443370282649990,	0.919444311410188670,	0.922417331486940380,	0.925361987203359600,	
+0.928277771919965740,	0.931164238601922990,	0.934020876884460450,	0.936847217381000520,	0.939642757177352910,	0.942407000809907910,	0.945139460265636440,	0.947839632630348210,	
+0.950507018715143200,	0.953141096979379650,	0.955741371959447860,	0.958307322114706040,	0.960838429629802700,	0.963334184139966960,	0.965794049203395840,	0.968217510730028150,	
+0.970604017376899720,	0.972953058779239650,	0.975264083594083790,	0.977536566555500030,	0.979769956320524220,	0.981963708996772770,	0.984117280691862110,	0.986230112612247470,	
+0.988301653414964680,	0.990331344306468960,	0.992318630218505860,	0.994262944906950000,	0.996163722127676010,	0.998020399361848830,	0.999832402914762500,	1.001599155366420700,	
+1.003320086747407900,	1.004994612187147100,	1.006622135639190700,	1.008202098309993700,	1.009733878076076500,	1.011216927319765100,	1.012650609016418500,	1.014034371823072400,	
+1.015367589890956900,	1.016649682074785200,	1.017880033701658200,	1.019058048725128200,	1.020183108747005500,	1.021254621446132700,	1.022271949797868700,	1.023234523832798000,	
+
+};
+/* ----------------------------------------------------------------------
+** Test input - logarithmic chirp signal
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32[320] =
+  {
+    0.000000000000000061,	0.002622410992047861,	0.005253663973466970,	0.007893770384930297,	0.010542741395035495,	0.013200587895525877,	0.015867320496454066,	0.018542949521290073,	
+0.021227485001971542,	0.023920936673895138,	0.026623313970853074,	0.029334626019908643,	0.032054881636210709,	0.034784089317753723,	0.037522257240071598,	0.040269393250875855,	
+0.043025504864628375,	0.045790599257054837,	0.048564683259595690,	0.051347763353792118,	0.054139845665610427,	0.056940935959702531,	0.059751039633601337,	0.062570161711849828,	
+0.065398306840066575,	0.068235479278943648,	0.071081682898178900,	0.073936921170339814,	0.076801197164660218,	0.079674513540768196,	0.082556872542344922,	0.085448275990715375,	
+0.088348725278367082,	0.091258221362398390,	0.094176764757897533,	0.097104355531246703,	0.100040993293358240,	0.102986677192832010,	0.105941405909045980,	0.108905177645166230,	
+0.111877990121087980,	0.114859840566297130,	0.117850725712659680,	0.120850641787131110,	0.123859584504392860,	0.126877549059407400,	0.129904530119898690,	0.132940521818751430,	
+0.135985517746334080,	0.139039510942737950,	0.142102493889940090,	0.145174458503884160,	0.148255396126476810,	0.151345297517508140,	0.154444152846483080,	0.157551951684374300,	
+0.160668682995289720,	0.163794335128054890,	0.166928895807713030,	0.170072352126936720,	0.173224690537355760,	0.176385896840798810,	0.179555956180445340,	0.182734853031894270,	
+0.185922571194139130,	0.189119093780459800,	0.192324403209221870,	0.195538481194587030,	0.198761308737133020,	0.201992866114384050,	0.205233132871247170,	0.208482087810360570,	
+0.211739708982344370,	0.215005973675965020,	0.218280858408200220,	0.221564338914212730,	0.224856390137231970,	0.228156986218334190,	0.231466100486134670,	0.234783705446379690,	
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+0.983322049774557390,	0.984625539794035220,	0.985880529000944810,	0.987086427551279730,	0.988242642938953360,	0.989348580047844540,	0.990403641205582440,	0.991407226239099710,	
+0.992358732531984260,	0.993257555083659870,	0.994103086570423680,	0.994894717408374870,	0.995631835818261310,	0.996313827892278070,	0.996940077662846650,	0.997509967173408010,	
+
+  };
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_example_q31.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_example_q31.c
new file mode 100644
index 0000000..c263d18
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/arm_graphic_equalizer_example_q31.c
@@ -0,0 +1,411 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_graphic_equalizer_example_q31.c
+*
+* Description:   Example showing an audio graphic equalizer constructed
+*                out of Biquad filters.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup GEQ5Band Graphic Audio Equalizer Example
+ *
+ * \par Description:
+ * \par
+ * This example demonstrates how a 5-band graphic equalizer can be constructed
+ * using the Biquad cascade functions.
+ * A graphic equalizer is used in audio applications to vary the tonal quality
+ * of the audio.
+ *
+ * \par Block Diagram:
+ * \par
+ * The design is based on a cascade of 5 filter sections.
+ * \image html GEQ_signalflow.gif
+ * Each filter section is 4th order and consists of a cascade of two Biquads.
+ * Each filter has a nominal gain of 0 dB (1.0 in linear units) and
+ * boosts or cuts signals within a specific frequency range.
+ * The edge frequencies between the 5 bands are 100, 500, 2000, and 6000 Hz.
+ * Each band has an adjustable boost or cut in the range of +/- 9 dB.
+ * For example, the band that extends from 500 to 2000 Hz has the response shown below:
+ * \par
+ * \image html GEQ_bandresponse.gif
+ * \par
+ * With 1 dB steps, each filter has a total of 19 different settings.
+ * The filter coefficients for all possible 19 settings were precomputed
+ * in MATLAB and stored in a table.  With 5 different tables, there are
+ * a total of 5 x 19 = 95 different 4th order filters.
+ * All 95 responses are shown below:
+ * \par
+ * \image html GEQ_allbandresponse.gif
+ * \par
+ * Each 4th order filter has 10 coefficents for a grand total of 950 different filter
+ * coefficients that must be tabulated. The input and output data is in Q31 format.
+ * For better noise performance, the two low frequency bands are implemented using the high
+ * precision 32x64-bit Biquad filters. The remaining 3 high frequency bands use standard
+ * 32x32-bit Biquad filters. The input signal used in the example is a logarithmic chirp.
+ * \par
+ * \image html GEQ_inputchirp.gif
+ * \par
+ * The array <code>bandGains</code> specifies the gain in dB to apply in each band.
+ * For example, if <code>bandGains={0, -3, 6, 4, -6};</code> then the output signal will be:
+ * \par
+ * \image html GEQ_outputchirp.gif
+ * \par
+ * \note The output chirp signal follows the gain or boost of each band.
+ * \par
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 points to the input data
+ * \li \c testRefOutput_f32 points to the reference output data
+ * \li \c testOutput points to the test output data
+ * \li \c inputQ31 temporary input buffer
+ * \li \c outputQ31 temporary output buffer
+ * \li \c biquadStateBand1Q31 points to state buffer for band1
+ * \li \c biquadStateBand2Q31 points to state buffer for band2
+ * \li \c biquadStateBand3Q31 points to state buffer for band3
+ * \li \c biquadStateBand4Q31 points to state buffer for band4
+ * \li \c biquadStateBand5Q31 points to state buffer for band5
+ * \li \c coeffTable points to coefficient buffer for all bands
+ * \li \c gainDB gain buffer which has gains applied for all the bands
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_biquad_cas_df1_32x64_init_q31()
+ * - arm_biquad_cas_df1_32x64_q31()
+ * - arm_biquad_cascade_df1_init_q31()
+ * - arm_biquad_cascade_df1_q31()
+ * - arm_scale_q31()
+ * - arm_scale_f32()
+ * - arm_float_to_q31()
+ * - arm_q31_to_float()
+ *
+ * <b> Refer  </b>
+ * \link arm_graphic_equalizer_example_q31.c \endlink
+ *
+ */
+
+
+/** \example arm_graphic_equalizer_example_q31.c
+ */
+
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* Length of the overall data in the test */
+#define TESTLENGTH 320
+
+/* Block size for the underlying processing */
+#define BLOCKSIZE 32
+
+/* Total number of blocks to run */
+#define NUMBLOCKS (TESTLENGTH/BLOCKSIZE)
+
+/* Number of 2nd order Biquad stages per filter */
+#define NUMSTAGES 2
+
+#define SNR_THRESHOLD_F32  98
+
+/* -------------------------------------------------------------------
+ * External Declarations for Input and Output buffers
+ * ------------------------------------------------------------------- */
+
+extern float32_t testInput_f32[TESTLENGTH];
+static float32_t testOutput[TESTLENGTH];
+
+extern float32_t testRefOutput_f32[TESTLENGTH];
+
+/* ----------------------------------------------------------------------
+** Q31 state buffers for Band1, Band2, Band3, Band4, Band5
+** ------------------------------------------------------------------- */
+
+static q63_t biquadStateBand1Q31[4 * 2];
+static q63_t biquadStateBand2Q31[4 * 2];
+static q31_t biquadStateBand3Q31[4 * 2];
+static q31_t biquadStateBand4Q31[4 * 2];
+static q31_t biquadStateBand5Q31[4 * 2];
+
+/* ----------------------------------------------------------------------
+** Q31 input and output buffers
+** ------------------------------------------------------------------- */
+
+q31_t inputQ31[BLOCKSIZE];
+q31_t outputQ31[BLOCKSIZE];
+
+/* ----------------------------------------------------------------------
+** Entire coefficient table.  There are 10 coefficients per 4th order Biquad
+** cascade filter.  The first 10 coefficients correspond to the -9 dB gain
+** setting of band 1; the next 10 coefficient correspond to the -8 dB gain
+** setting of band 1; and so on.  There are 10*19=190 coefficients in total
+** for band 1 (gains = -9, -8, -7, ..., 9).  After this come the 190 coefficients
+** for band 2.
+**
+** The coefficients are in Q29 format and require a postShift of 2.
+** ------------------------------------------------------------------- */
+
+const q31_t coeffTable[950] = {
+
+  /* Band 1, -9 dB gain */
+  535576962, -1071153923, 535576962, 1073741824, -536870912, 535576962, -1063501998, 527979313, 1060865294, -524146981,
+  /* Band 1, -8 dB gain */
+  535723226, -1071446451, 535723226, 1073741824, -536870912, 535723226, -1063568947, 527903217, 1061230578, -524503778,
+  535868593, -1071737186, 535868593, 1073741824, -536870912, 535868593, -1063627467, 527819780, 1061585502, -524850686,
+  536013181, -1072026363, 536013181, 1073741824, -536870912, 536013181, -1063677598, 527728935, 1061930361, -525187972,
+  536157109, -1072314217, 536157109, 1073741824, -536870912, 536157109, -1063719372, 527630607, 1062265438, -525515897,
+  536300492, -1072600983, 536300492, 1073741824, -536870912, 536300492, -1063752815, 527524720, 1062591011, -525834716,
+  536443447, -1072886894, 536443447, 1073741824, -536870912, 536443447, -1063777945, 527411186, 1062907350, -526144676,
+  536586091, -1073172183, 536586091, 1073741824, -536870912, 536586091, -1063794775, 527289917, 1063214717, -526446017,
+  536728541, -1073457082, 536728541, 1073741824, -536870912, 536728541, -1063803308, 527160815, 1063513366, -526738975,
+  536870912, -1073741824, 536870912, 1073741824, -536870912, 536870912, -1063803543, 527023777, 1063803543, -527023777,
+  537013321, -1074026642, 537013321, 1073741824, -536870912, 537013321, -1063795470, 526878696, 1064085490, -527300648,
+  537155884, -1074311768, 537155884, 1073741824, -536870912, 537155884, -1063779073, 526725455, 1064359439, -527569803,
+  537298718, -1074597435, 537298718, 1073741824, -536870912, 537298718, -1063754328, 526563934, 1064625617, -527831454,
+  537441939, -1074883878, 537441939, 1073741824, -536870912, 537441939, -1063721205, 526394005, 1064884245, -528085806,
+  537585666, -1075171331, 537585666, 1073741824, -536870912, 537585666, -1063679666, 526215534, 1065135536, -528333059,
+  537730015, -1075460030, 537730015, 1073741824, -536870912, 537730015, -1063629666, 526028380, 1065379699, -528573409,
+  537875106, -1075750212, 537875106, 1073741824, -536870912, 537875106, -1063571152, 525832396, 1065616936, -528807045,
+  538021057, -1076042114, 538021057, 1073741824, -536870912, 538021057, -1063504065, 525627429, 1065847444, -529034151,
+  538167989, -1076335977, 538167989, 1073741824, -536870912, 538167989, -1063428338, 525413317, 1066071412, -529254907,
+
+  /* Band 2, -9 dB gain */
+  531784976, -1055497692, 523873415, 1066213307, -529420241, 531784976, -1040357886, 509828014, 1028908252, -494627367,
+  /* Band 2, -8 dB gain */
+  532357636, -1056601982, 524400080, 1066115844, -529326645, 532357636, -1040623406, 509562600, 1030462237, -496062122,
+  532927392, -1057707729, 524931110, 1066024274, -529239070, 532927392, -1040848253, 509262081, 1031969246, -497457090,
+  533494678, -1058816094, 525467240, 1065939047, -529157961, 533494678, -1041032161, 508925950, 1033429976, -498812573,
+  534059929, -1059928204, 526009170, 1065860582, -529083734, 534059929, -1041174868, 508553717, 1034845124, -500128887,
+  534623580, -1061045148, 526557561, 1065789260, -529016764, 534623580, -1041276126, 508144920, 1036215393, -501406373,
+  535186068, -1062167969, 527113032, 1065725420, -528957385, 535186068, -1041335703, 507699125, 1037541500, -502645399,
+  535747827, -1063297666, 527676151, 1065669351, -528905879, 535747827, -1041353386, 507215934, 1038824183, -503846368,
+  536309295, -1064435183, 528247436, 1065621289, -528862476, 536309295, -1041328990, 506694984, 1040064203, -505009724,
+  536870912, -1065581413, 528827349, 1065581413, -528827349, 536870912, -1041262354, 506135953, 1041262354, -506135953,
+  537433117, -1066737194, 529416295, 1065549847, -528800610, 537433117, -1041153346, 505538564, 1042419457, -507225588,
+  537996352, -1067903307, 530014622, 1065526651, -528782316, 537996352, -1041001864, 504902578, 1043536370, -508279208,
+  538561061, -1069080480, 530622620, 1065511830, -528772462, 538561061, -1040807833, 504227800, 1044613981, -509297437,
+  539127690, -1070269387, 531240527, 1065505333, -528770987, 539127690, -1040571205, 503514074, 1045653211, -510280946,
+  539696690, -1071470656, 531868525, 1065507054, -528777778, 539696690, -1040291951, 502761277, 1046655011, -511230450,
+  540268512, -1072684867, 532506750, 1065516837, -528792672, 540268512, -1039970063, 501969320, 1047620358, -512146700,
+  540843613, -1073912567, 533155297, 1065534483, -528815459, 540843613, -1039605542, 501138139, 1048550251, -513030484,
+  541422451, -1075154268, 533814224, 1065559750, -528845892, 541422451, -1039198394, 500267687, 1049445708, -513882621,
+  542005489, -1076410460, 534483561, 1065592362, -528883686, 542005489, -1038748624, 499357932, 1050307760, -514703956,
+  518903861, -1001986830, 486725277, 1037235801, -502367695, 518903861, -945834422, 446371043, 902366163, -400700571,
+  520899989, -1005630916, 488289126, 1036926846, -502147311, 520899989, -946490935, 445581846, 907921945, -404936158,
+  522893209, -1009290002, 489869792, 1036650484, -501961419, 522893209, -947006359, 444685310, 913306106, -409075225,
+  524884763, -1012968199, 491470256, 1036407567, -501810737, 524884763, -947377809, 443679533, 918521018, -413116221,
+  526875910, -1016669649, 493093518, 1036198712, -501695739, 526875910, -947602324, 442562672, 923569247, -417057897,
+  528867927, -1020398503, 494742575, 1036024293, -501616651, 528867927, -947676875, 441332970, 928453558, -420899319,
+  530862111, -1024158905, 496420407, 1035884447, -501573457, 530862111, -947598385, 439988777, 933176909, -424639872,
+  532859778, -1027954970, 498129955, 1035779077, -501565907, 532859778, -947363742, 438528571, 937742446, -428279254,
+  534862260, -1031790763, 499874098, 1035707863, -501593525, 534862260, -946969823, 436950987, 942153486, -431817474,
+  536870912, -1035670279, 501655630, 1035670279, -501655630, 536870912, -946413508, 435254839, 946413508, -435254839,
+  538887107, -1039597419, 503477238, 1035665609, -501751354, 538887107, -945691703, 433439146, 950526127, -438591937,
+  540912240, -1043575967, 505341475, 1035692963, -501879659, 540912240, -944801359, 431503152, 954495080, -441829621,
+  542947726, -1047609569, 507250741, 1035751307, -502039364, 542947726, -943739490, 429446349, 958324201, -444968987,
+  544995000, -1051701717, 509207261, 1035839473, -502229165, 544995000, -942503190, 427268492, 962017400, -448011351,
+  547055523, -1055855728, 511213065, 1035956193, -502447657, 547055523, -941089647, 424969617, 965578640, -450958226,
+  549130774, -1060074734, 513269973, 1036100110, -502693359, 549130774, -939496155, 422550049, 969011913, -453811298,
+  551222259, -1064361672, 515379585, 1036269804, -502964731, 551222259, -937720119, 420010407, 972321228, -456572401,
+  553331507, -1068719280, 517543273, 1036463810, -503260192, 553331507, -935759057, 417351601, 975510582, -459243495,
+  555460072, -1073150100, 519762181, 1036680633, -503578144, 555460072, -933610600, 414574832, 978583948, -461826644,
+  494084017, -851422604, 404056273, 930151631, -423619864, 494084017, -673714108, 339502486, 561843007, -265801750,
+  498713542, -859177141, 406587077, 929211656, -423786402, 498713542, -673274906, 338185129, 573719128, -272222942,
+  503369016, -867012190, 409148384, 928362985, -424054784, 503369016, -672533059, 336693984, 585290277, -278599028,
+  508052536, -874935599, 411746438, 927604291, -424422151, 508052536, -671478538, 335026905, 596558312, -284920289,
+  512766286, -882955583, 414387826, 926933782, -424885216, 512766286, -670100998, 333182045, 607525792, -291177811,
+  517512534, -891080712, 417079474, 926349262, -425440318, 517512534, -668389789, 331157902, 618195914, -297363485,
+  522293635, -899319903, 419828635, 925848177, -426083491, 522293635, -666333963, 328953368, 628572440, -303470012,
+  527112032, -907682405, 422642886, 925427679, -426810526, 527112032, -663922286, 326567785, 638659631, -309490882,
+  531970251, -916177781, 425530105, 925084675, -427617023, 531970251, -661143261, 324000998, 648462180, -315420352,
+  536870912, -924815881, 428498454, 924815881, -428498454, 536870912, -657985147, 321253420, 657985147, -321253420,
+  541816719, -933606817, 431556352, 924617870, -429450209, 541816719, -654435997, 318326093, 667233900, -326985786,
+  546810467, -942560921, 434712438, 924487114, -430467639, 546810467, -650483688, 315220754, 676214053, -332613816,
+  551855042, -951688708, 437975532, 924420027, -431546101, 551855042, -646115970, 311939896, 684931422, -338134495,
+  556953421, -961000826, 441354588, 924413001, -432680993, 556953421, -641320513, 308486839, 693391970, -343545389,
+  562108672, -970508005, 444858642, 924462435, -433867780, 562108672, -636084967, 304865786, 701601770, -348844597,
+  567323959, -980220994, 448496743, 924564764, -435102022, 567323959, -630397020, 301081886, 709566963, -354030710,
+  572602539, -990150500, 452277894, 924716482, -436379394, 572602539, -624244471, 297141281, 717293726, -359102767,
+  577947763, -1000307125, 456210977, 924914158, -437695705, 577947763, -617615296, 293051155, 724788245, -364060214,
+  583363084, -1010701292, 460304674, 925154455, -439046908, 583363084, -610497723, 288819761, 732056685, -368902865,
+  387379495, -506912469, 196933274, 840112184, -347208270, 387379495, 506912469, 196933274, -840112184, -347208270,
+  401658082, -532275898, 207149427, 833765363, -343175316, 401658082, 532275898, 207149427, -833765363, -343175316,
+  416472483, -558722695, 217902617, 827270154, -339107319, 416472483, 558722695, 217902617, -827270154, -339107319,
+  431841949, -586290861, 229212798, 820624988, -335007540, 431841949, 586290861, 229212798, -820624988, -335007540,
+  447786335, -615019650, 241100489, 813828443, -330879528, 447786335, 615019650, 241100489, -813828443, -330879528,
+  464326111, -644949597, 253586805, 806879270, -326727141, 464326111, 644949597, 253586805, -806879270, -326727141,
+  481482377, -676122557, 266693475, 799776409, -322554559, 481482377, 676122557, 266693475, -799776409, -322554559,
+  499276882, -708581728, 280442865, 792519013, -318366296, 499276882, 708581728, 280442865, -792519013, -318366296,
+  517732032, -742371685, 294857996, 785106465, -314167221, 517732032, 742371685, 294857996, -785106465, -314167221,
+  536870912, -777538408, 309962566, 777538408, -309962566, 536870912, 777538408, 309962566, -777538408, -309962566,
+  556717294, -814129313, 325780968, 769814766, -305757943, 556717294, 814129313, 325780968, -769814766, -305757943,
+  577295658, -852193284, 342338310, 761935777, -301559360, 577295658, 852193284, 342338310, -761935777, -301559360,
+  598631206, -891780698, 359660433, 753902014, -297373230, 598631206, 891780698, 359660433, -753902014, -297373230,
+  620749877, -932943463, 377773927, 745714425, -293206383, 620749877, 932943463, 377773927, -745714425, -293206383,
+  643678365, -975735041, 396706151, 737374355, -289066077, 643678365, 975735041, 396706151, -737374355, -289066077,
+  667444134, -1020210487, 416485252, 728883588, -284960004, 667444134, 1020210487, 416485252, -728883588, -284960004,
+  692075438, -1066426476, 437140179, 720244375, -280896294, 692075438, 1066426476, 437140179, -720244375, -280896294,
+  717601336, -1114441339, 458700704, 711459472, -276883515, 717601336, 1114441339, 458700704, -711459472, -276883515,
+  744051710, -1164315096, 481197437, 702532174, -272930673, 744051710, 1164315096, 481197437, -702532174, -272930673
+
+};
+
+/* ----------------------------------------------------------------------
+** Desired gains, in dB, per band
+** ------------------------------------------------------------------- */
+
+int gainDB[5] = {0, -3, 6, 4, -6};
+
+float32_t snr;
+
+
+/* ----------------------------------------------------------------------
+ * Graphic equalizer Example
+ * ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+  float32_t  *inputF32, *outputF32;
+  arm_biquad_cas_df1_32x64_ins_q31 S1;
+  arm_biquad_cas_df1_32x64_ins_q31 S2;
+  arm_biquad_casd_df1_inst_q31 S3;
+  arm_biquad_casd_df1_inst_q31 S4;
+  arm_biquad_casd_df1_inst_q31 S5;
+  int i;
+  int32_t status;
+
+  inputF32 = &testInput_f32[0];
+  outputF32 = &testOutput[0];
+
+  /* Initialize the state and coefficient buffers for all Biquad sections */
+
+  arm_biquad_cas_df1_32x64_init_q31(&S1, NUMSTAGES,
+            (q31_t *) &coeffTable[190*0 + 10*(gainDB[0] + 9)],
+            &biquadStateBand1Q31[0], 2);
+
+  arm_biquad_cas_df1_32x64_init_q31(&S2, NUMSTAGES,
+            (q31_t *) &coeffTable[190*1 + 10*(gainDB[1] + 9)],
+            &biquadStateBand2Q31[0], 2);
+
+  arm_biquad_cascade_df1_init_q31(&S3, NUMSTAGES,
+          (q31_t *) &coeffTable[190*2 + 10*(gainDB[2] + 9)],
+          &biquadStateBand3Q31[0], 2);
+
+  arm_biquad_cascade_df1_init_q31(&S4, NUMSTAGES,
+          (q31_t *) &coeffTable[190*3 + 10*(gainDB[3] + 9)],
+          &biquadStateBand4Q31[0], 2);
+
+  arm_biquad_cascade_df1_init_q31(&S5, NUMSTAGES,
+          (q31_t *) &coeffTable[190*4 + 10*(gainDB[4] + 9)],
+          &biquadStateBand5Q31[0], 2);
+
+
+  /* Call the process functions and needs to change filter coefficients
+     for varying the gain of each band */
+
+  for(i=0; i < NUMBLOCKS; i++)
+  {
+
+    /* ----------------------------------------------------------------------
+    ** Convert block of input data from float to Q31
+    ** ------------------------------------------------------------------- */
+
+    arm_float_to_q31(inputF32 + (i*BLOCKSIZE), inputQ31, BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Scale down by 1/8.  This provides additional headroom so that the
+    ** graphic EQ can apply gain.
+    ** ------------------------------------------------------------------- */
+
+    arm_scale_q31(inputQ31, 0x7FFFFFFF, -3, inputQ31, BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Call the Q31 Biquad Cascade DF1 32x64 process function for band1, band2
+    ** ------------------------------------------------------------------- */
+
+    arm_biquad_cas_df1_32x64_q31(&S1, inputQ31, outputQ31, BLOCKSIZE);
+    arm_biquad_cas_df1_32x64_q31(&S2, outputQ31, outputQ31, BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Call the Q31 Biquad Cascade DF1 process function for band3, band4, band5
+    ** ------------------------------------------------------------------- */
+
+    arm_biquad_cascade_df1_q31(&S3, outputQ31, outputQ31, BLOCKSIZE);
+    arm_biquad_cascade_df1_q31(&S4, outputQ31, outputQ31, BLOCKSIZE);
+    arm_biquad_cascade_df1_q31(&S5, outputQ31, outputQ31, BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Convert Q31 result back to float
+    ** ------------------------------------------------------------------- */
+
+    arm_q31_to_float(outputQ31, outputF32 + (i * BLOCKSIZE), BLOCKSIZE);
+
+    /* ----------------------------------------------------------------------
+    ** Scale back up
+    ** ------------------------------------------------------------------- */
+
+    arm_scale_f32(outputF32 + (i * BLOCKSIZE), 8.0f, outputF32 + (i * BLOCKSIZE), BLOCKSIZE);
+  };
+
+  snr = arm_snr_f32(testRefOutput_f32, testOutput, TESTLENGTH);
+
+  if (snr < SNR_THRESHOLD_F32)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+  else
+  {
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* ----------------------------------------------------------------------
+  ** Loop here if the signal does not match the reference output.
+  ** ------------------------------------------------------------------- */
+
+  if ( status != ARM_MATH_SUCCESS)
+  {
+    while (1);
+  }
+
+  while (1);                             /* main function does not return */
+}
+
+/** \endlink */
+
+
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.c
new file mode 100644
index 0000000..f615e6f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:        17. January 2013
+* $Revision: 	V1.4.0  b
+*
+* Project: 	    CMSIS DSP Library
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief  Caluclation of SNR
+ * @param[in]  pRef 	Pointer to the reference buffer
+ * @param[in]  pTest	Pointer to the test buffer
+ * @param[in]  buffSize	total number of samples
+ * @return     SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if (temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Converts float to fixed in q12.20 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to outputbuffer
+ * @param[in]  numSamples  number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/**
+ * @brief  Caluclates number of guard bits
+ * @param[in]  num_adds 	number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/**
+ * @brief  Apply guard bits to buffer
+ * @param[in,out]  pIn         pointer to input buffer
+ * @param[in]      numSamples  number of samples in the input buffer
+ * @param[in]      guard_bits  guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+						   uint32_t numSamples,
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/**
+ * @brief  Calculates pow(2, numShifts)
+ * @param[in]  numShifts 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }
+
+  return(val);
+}
+
+
+
+/**
+ * @brief  Converts float to fixed q14
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/**
+ * @brief  Converts float to fixed q28 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Clip the float values to +/- 1
+ * @param[in,out]  pIn           input buffer
+ * @param[in]      numSamples    number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if (pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if ( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+
+    }
+}
+
+
+
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.h b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.h
new file mode 100644
index 0000000..5a18734
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_graphic_equalizer_example/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/Abstract.txt b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/Abstract.txt
new file mode 100644
index 0000000..9062c48
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_linear_interp_example for
+  Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
+
+The example is configured for uVision Simulator.
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM0/startup_ARMCM0.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM0/startup_ARMCM0.s
new file mode 100644
index 0000000..bdb4be7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM0/startup_ARMCM0.s
@@ -0,0 +1,159 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM0.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM0 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    ( 22 * 4)                           ; Interrupts 10 .. 31 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM0/system_ARMCM0.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM0/system_ARMCM0.c
new file mode 100644
index 0000000..d735adf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM0/system_ARMCM0.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM3/startup_ARMCM3.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM3/startup_ARMCM3.s
new file mode 100644
index 0000000..81a33d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM3/startup_ARMCM3.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM3.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM3 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM3/system_ARMCM3.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM3/system_ARMCM3.c
new file mode 100644
index 0000000..5578e23
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM3/system_ARMCM3.c
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
new file mode 100644
index 0000000..93f7f27
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM4.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM4 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
new file mode 100644
index 0000000..cfac6b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
new file mode 100644
index 0000000..f9d954a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM7.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM7 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
new file mode 100644
index 0000000..affc835
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_data.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_data.c
new file mode 100644
index 0000000..309326e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_data.c
@@ -0,0 +1,23616 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	     	arm_linear_interp_data.c
+*   
+* Description:	 Data file used for example.  Generation method described
+*               below
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+ * -------------------------------------------------------------------- */
+ 
+/* ---------------------------------------------------------------------- 
+* Table generated from following MATLAB Command
+* x = -pi: 0.00005 : (2*pi - 0.00005);
+* y = sin(x);
+* where pi value is 3.141592653589793
+* --------------------------------------------------------------------*/
+
+float arm_linear_interep_table[188495] =  {
+
+
+-0.000000000000000122,	-0.000049999999979173,	-0.000099999999833667,	-0.000149999999437717,	-0.000199999998666767,	-0.000249999997395817,	-0.000299999995500311,	-0.000349999992854362,	
+-0.000399999989333412,	-0.000449999984812462,	-0.000499999979166956,	-0.000549999972271007,	-0.000599999964000057,	-0.000649999954229107,	-0.000699999942833602,	-0.000749999929687653,	
+-0.000799999914666704,	-0.000849999897645755,	-0.000899999878500250,	-0.000949999857104302,	-0.000999999833333354,	-0.001049999807062851,	-0.001099999778166904,	-0.001149999746520957,	
+-0.001199999712000011,	-0.001249999674479510,	-0.001299999633833566,	-0.001349999589937622,	-0.001399999542666680,	-0.001449999491896183,	-0.001499999437500243,	-0.001549999379354304,	
+-0.001599999317333367,	-0.001649999251312876,	-0.001699999181166942,	-0.001749999106771011,	-0.001799999028000082,	-0.001849998944729599,	-0.001899998856833675,	-0.001949998764187754,	
+-0.001999998666666836,	-0.002049998564146365,	-0.002099998456500453,	-0.002149998343604546,	-0.002199998225334087,	-0.002249998101563188,	-0.002299997972167294,	-0.002349997837021405,	
+-0.002399997696000966,	-0.002449997548980088,	-0.002499997395834216,	-0.002549997236438351,	-0.002599997070667937,	-0.002649996898397086,	-0.002699996719501243,	-0.002749996533855408,	
+-0.002799996341335026,	-0.002849996141814208,	-0.002899995935168401,	-0.002949995721272604,	-0.002999995500002261,	-0.003049995271231486,	-0.003099995034835722,	-0.003149994790690415,	
+-0.003199994538669677,	-0.003249994278648952,	-0.003299994010503243,	-0.003349993734107991,	-0.003399993449337312,	-0.003449993156066649,	-0.003499992854171003,	-0.003549992543525819,	
+-0.003599992224005209,	-0.003649991895484619,	-0.003699991557839049,	-0.003749991210943944,	-0.003799990854673418,	-0.003849990488902914,	-0.003899990113507434,	-0.003949989728362423,	
+-0.003999989333341993,	-0.004049988928321590,	-0.004099988513176658,	-0.004149988087781312,	-0.004199987652010995,	-0.004249987205740709,	-0.004299986748845899,	-0.004349986281200678,	
+-0.004399985802680492,	-0.004449985313160341,	-0.004499984812515671,	-0.004549984300620594,	-0.004599983777350557,	-0.004649983242580561,	-0.004699982696186050,	-0.004749982138041138,	
+-0.004799981568021272,	-0.004849980986001451,	-0.004899980391857122,	-0.004949979785462398,	-0.004999979166692725,	-0.005049978535423547,	-0.005099977891528979,	-0.005149977234884466,	
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+};
+
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_example_f32.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_example_f32.c
new file mode 100644
index 0000000..87908ed
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/arm_linear_interp_example_f32.c
@@ -0,0 +1,204 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_linear_interp_example_f32.c
+*
+* Description:   Example code demonstrating usage of sin function
+*                and uses linear interpolation to get higher precision
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup LinearInterpExample Linear Interpolate Example
+ *
+ * <b> CMSIS DSP Software Library -- Linear Interpolate Example  </b>
+ *
+ * <b> Description </b>
+ * This example demonstrates usage of linear interpolate modules and fast math modules.
+ * Method 1 uses fast math sine function to calculate sine values using cubic interpolation and method 2 uses
+ * linear interpolation function and results are compared to reference output.
+ * Example shows linear interpolation function can be used to get higher precision compared to fast math sin calculation.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html linearInterpExampleMethod1.gif "Method 1: Sine caluclation using fast math"
+ * \par
+ * \image html linearInterpExampleMethod2.gif "Method 2: Sine caluclation using interpolation function"
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInputSin_f32         points to the input values for sine calculation
+ * \li \c testRefSinOutput32_f32   points to the reference values caculated from sin() matlab function
+ * \li \c testOutput               points to output buffer calculation from cubic interpolation
+ * \li \c testLinIntOutput         points to output buffer calculation from linear interpolation
+ * \li \c snr1                     Signal to noise ratio for reference and cubic interpolation output
+ * \li \c snr2                     Signal to noise ratio for reference and linear interpolation output
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_sin_f32()
+ * - arm_linear_interp_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_linear_interp_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_linear_interp_example_f32.c
+  */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+#define SNR_THRESHOLD           90
+#define TEST_LENGTH_SAMPLES     10
+#define XSPACING               (0.00005f)
+
+/* ----------------------------------------------------------------------
+* Test input data for F32 SIN function
+* Generated by the MATLAB rand() function
+* randn('state', 0)
+* xi = (((1/4.18318581819710)* randn(blockSize, 1) * 2* pi));
+* --------------------------------------------------------------------*/
+float32_t testInputSin_f32[TEST_LENGTH_SAMPLES] =
+{
+   -0.649716504673081170, -2.501723745497831200,
+    0.188250329003310100,  0.432092748487532540,
+   -1.722010988459680800,  1.788766476323060600,
+    1.786136060975809500, -0.056525543169408797,
+    0.491596272728153760,  0.262309671126153390
+};
+
+/*------------------------------------------------------------------------------
+*  Reference out of SIN F32 function for Block Size = 10
+*  Calculated from sin(testInputSin_f32)
+*------------------------------------------------------------------------------*/
+float32_t testRefSinOutput32_f32[TEST_LENGTH_SAMPLES] =
+{
+   -0.604960695383043530, -0.597090287967934840,
+    0.187140422442966500,  0.418772124875992690,
+   -0.988588831792106880,  0.976338412038794010,
+    0.976903856413481100, -0.056495446835214236,
+    0.472033731854734240,  0.259311907228582830
+};
+
+/*------------------------------------------------------------------------------
+*  Method 1: Test out Buffer Calculated from Cubic Interpolation
+*------------------------------------------------------------------------------*/
+float32_t testOutput[TEST_LENGTH_SAMPLES];
+
+/*------------------------------------------------------------------------------
+*  Method 2: Test out buffer Calculated from Linear Interpolation
+*------------------------------------------------------------------------------*/
+float32_t testLinIntOutput[TEST_LENGTH_SAMPLES];
+
+/*------------------------------------------------------------------------------
+*  External table used for linear interpolation
+*------------------------------------------------------------------------------*/
+extern float arm_linear_interep_table[188495];
+
+/* ----------------------------------------------------------------------
+* Global Variables for caluclating SNR's for Method1 & Method 2
+* ------------------------------------------------------------------- */
+float32_t snr1;
+float32_t snr2;
+
+/* ----------------------------------------------------------------------------
+* Calculation of Sine values from Cubic Interpolation and Linear interpolation
+* ---------------------------------------------------------------------------- */
+int32_t main(void)
+{
+  uint32_t i;
+  arm_status status;
+
+  arm_linear_interp_instance_f32 S = {188495, -3.141592653589793238, XSPACING, &arm_linear_interep_table[0]};
+
+  /*------------------------------------------------------------------------------
+  *  Method 1: Test out Calculated from Cubic Interpolation
+  *------------------------------------------------------------------------------*/
+  for(i=0; i< TEST_LENGTH_SAMPLES; i++)
+  {
+    testOutput[i] = arm_sin_f32(testInputSin_f32[i]);
+  }
+
+  /*------------------------------------------------------------------------------
+  *  Method 2: Test out Calculated from Cubic Interpolation and Linear interpolation
+  *------------------------------------------------------------------------------*/
+
+  for(i=0; i< TEST_LENGTH_SAMPLES; i++)
+  {
+      testLinIntOutput[i] = arm_linear_interp_f32(&S, testInputSin_f32[i]);
+  }
+
+  /*------------------------------------------------------------------------------
+  *            SNR calculation for method 1
+  *------------------------------------------------------------------------------*/
+  snr1 = arm_snr_f32(testRefSinOutput32_f32, testOutput, 2);
+
+  /*------------------------------------------------------------------------------
+  *            SNR calculation for method 2
+  *------------------------------------------------------------------------------*/
+  snr2 = arm_snr_f32(testRefSinOutput32_f32, testLinIntOutput, 2);
+
+  /*------------------------------------------------------------------------------
+  *            Initialise status depending on SNR calculations
+  *------------------------------------------------------------------------------*/
+  if ( snr2 > snr1)
+  {
+    status = ARM_MATH_SUCCESS;
+  }
+  else
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  /* ----------------------------------------------------------------------
+  ** Loop here if the signals fail the PASS check.
+  ** This denotes a test failure
+  ** ------------------------------------------------------------------- */
+  if ( status != ARM_MATH_SUCCESS)
+  {
+    while (1);
+  }
+
+  while (1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.c
new file mode 100644
index 0000000..f615e6f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:        17. January 2013
+* $Revision: 	V1.4.0  b
+*
+* Project: 	    CMSIS DSP Library
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief  Caluclation of SNR
+ * @param[in]  pRef 	Pointer to the reference buffer
+ * @param[in]  pTest	Pointer to the test buffer
+ * @param[in]  buffSize	total number of samples
+ * @return     SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if (temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Converts float to fixed in q12.20 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to outputbuffer
+ * @param[in]  numSamples  number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/**
+ * @brief  Caluclates number of guard bits
+ * @param[in]  num_adds 	number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/**
+ * @brief  Apply guard bits to buffer
+ * @param[in,out]  pIn         pointer to input buffer
+ * @param[in]      numSamples  number of samples in the input buffer
+ * @param[in]      guard_bits  guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+						   uint32_t numSamples,
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/**
+ * @brief  Calculates pow(2, numShifts)
+ * @param[in]  numShifts 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }
+
+  return(val);
+}
+
+
+
+/**
+ * @brief  Converts float to fixed q14
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/**
+ * @brief  Converts float to fixed q28 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Clip the float values to +/- 1
+ * @param[in,out]  pIn           input buffer
+ * @param[in]      numSamples    number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if (pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if ( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+
+    }
+}
+
+
+
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.h b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.h
new file mode 100644
index 0000000..5a18734
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_linear_interp_example/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/Abstract.txt b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/Abstract.txt
new file mode 100644
index 0000000..f45b0e0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_matrix_example for
+  Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
+
+The example is configured for uVision Simulator.
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM0/startup_ARMCM0.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM0/startup_ARMCM0.s
new file mode 100644
index 0000000..bdb4be7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM0/startup_ARMCM0.s
@@ -0,0 +1,159 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM0.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM0 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    ( 22 * 4)                           ; Interrupts 10 .. 31 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM0/system_ARMCM0.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM0/system_ARMCM0.c
new file mode 100644
index 0000000..d735adf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM0/system_ARMCM0.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM3/startup_ARMCM3.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM3/startup_ARMCM3.s
new file mode 100644
index 0000000..81a33d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM3/startup_ARMCM3.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM3.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM3 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM3/system_ARMCM3.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM3/system_ARMCM3.c
new file mode 100644
index 0000000..5578e23
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM3/system_ARMCM3.c
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
new file mode 100644
index 0000000..93f7f27
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM4.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM4 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
new file mode 100644
index 0000000..cfac6b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
new file mode 100644
index 0000000..f9d954a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM7.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM7 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
new file mode 100644
index 0000000..affc835
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/arm_matrix_example_f32.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/arm_matrix_example_f32.c
new file mode 100644
index 0000000..3d7a505
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/arm_matrix_example_f32.c
@@ -0,0 +1,233 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_matrix_example_f32.c
+*
+* Description:   Example code demonstrating least square fit to data
+*                using matrix functions
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup MatrixExample Matrix Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use of Matrix Transpose, Matrix Muliplication, and Matrix Inverse
+ * functions to apply least squares fitting to input data. Least squares fitting is
+ * the procedure for finding the best-fitting curve that minimizes the sum of the
+ * squares of the offsets (least square error) from a given set of data.
+ *
+ * \par Algorithm:
+ * \par
+ * The linear combination of parameters considered is as follows:
+ * \par
+ * <code>A * X = B</code>, where \c X is the unknown value and can be estimated
+ * from \c A & \c B.
+ * \par
+ * The least squares estimate \c X is given by the following equation:
+ * \par
+ * <code>X = Inverse(A<sup>T</sup> * A) *  A<sup>T</sup> * B</code>
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html matrixExample.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c A_f32 input matrix in the linear combination equation
+ * \li \c B_f32 output matrix in the linear combination equation
+ * \li \c X_f32 unknown matrix estimated using \c A_f32 & \c B_f32 matrices
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_mat_init_f32()
+ * - arm_mat_trans_f32()
+ * - arm_mat_mult_f32()
+ * - arm_mat_inverse_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_matrix_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_matrix_example_f32.c
+  */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+#define SNR_THRESHOLD   90
+
+/* --------------------------------------------------------------------------------
+* Test input data(Cycles) taken from FIR Q15 module for differant cases of blockSize
+* and tapSize
+* --------------------------------------------------------------------------------- */
+
+const float32_t B_f32[4] =
+{
+  782.0, 7577.0, 470.0, 4505.0
+};
+
+/* --------------------------------------------------------------------------------
+* Formula to fit is  C1 + C2 * numTaps + C3 * blockSize + C4 * numTaps * blockSize
+* -------------------------------------------------------------------------------- */
+
+const float32_t A_f32[16] =
+{
+  /* Const,   numTaps,   blockSize,   numTaps*blockSize */
+  1.0,     32.0,      4.0,     128.0,
+  1.0,     32.0,     64.0,    2048.0,
+  1.0,     16.0,      4.0,      64.0,
+  1.0,     16.0,     64.0,    1024.0,
+};
+
+
+/* ----------------------------------------------------------------------
+* Temporary buffers  for storing intermediate values
+* ------------------------------------------------------------------- */
+/* Transpose of A Buffer */
+float32_t AT_f32[16];
+/* (Transpose of A * A) Buffer */
+float32_t ATMA_f32[16];
+/* Inverse(Transpose of A * A)  Buffer */
+float32_t ATMAI_f32[16];
+/* Test Output Buffer */
+float32_t X_f32[4];
+
+/* ----------------------------------------------------------------------
+* Reference ouput buffer C1, C2, C3 and C4 taken from MATLAB
+* ------------------------------------------------------------------- */
+const float32_t xRef_f32[4] = {73.0, 8.0, 21.25, 2.875};
+
+float32_t snr;
+
+
+/* ----------------------------------------------------------------------
+* Max magnitude FFT Bin test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+
+  arm_matrix_instance_f32 A;      /* Matrix A Instance */
+  arm_matrix_instance_f32 AT;     /* Matrix AT(A transpose) instance */
+  arm_matrix_instance_f32 ATMA;   /* Matrix ATMA( AT multiply with A) instance */
+  arm_matrix_instance_f32 ATMAI;  /* Matrix ATMAI(Inverse of ATMA) instance */
+  arm_matrix_instance_f32 B;      /* Matrix B instance */
+  arm_matrix_instance_f32 X;      /* Matrix X(Unknown Matrix) instance */
+
+  uint32_t srcRows, srcColumns;  /* Temporary variables */
+  arm_status status;
+
+  /* Initialise A Matrix Instance with numRows, numCols and data array(A_f32) */
+  srcRows = 4;
+  srcColumns = 4;
+  arm_mat_init_f32(&A, srcRows, srcColumns, (float32_t *)A_f32);
+
+  /* Initialise Matrix Instance AT with numRows, numCols and data array(AT_f32) */
+  srcRows = 4;
+  srcColumns = 4;
+  arm_mat_init_f32(&AT, srcRows, srcColumns, AT_f32);
+
+  /* calculation of A transpose */
+  status = arm_mat_trans_f32(&A, &AT);
+
+
+  /* Initialise ATMA Matrix Instance with numRows, numCols and data array(ATMA_f32) */
+  srcRows = 4;
+  srcColumns = 4;
+  arm_mat_init_f32(&ATMA, srcRows, srcColumns, ATMA_f32);
+
+  /* calculation of AT Multiply with A */
+  status = arm_mat_mult_f32(&AT, &A, &ATMA);
+
+  /* Initialise ATMAI Matrix Instance with numRows, numCols and data array(ATMAI_f32) */
+  srcRows = 4;
+  srcColumns = 4;
+  arm_mat_init_f32(&ATMAI, srcRows, srcColumns, ATMAI_f32);
+
+  /* calculation of Inverse((Transpose(A) * A) */
+  status = arm_mat_inverse_f32(&ATMA, &ATMAI);
+
+  /* calculation of (Inverse((Transpose(A) * A)) *  Transpose(A)) */
+  status = arm_mat_mult_f32(&ATMAI, &AT, &ATMA);
+
+  /* Initialise B Matrix Instance with numRows, numCols and data array(B_f32) */
+  srcRows = 4;
+  srcColumns = 1;
+  arm_mat_init_f32(&B, srcRows, srcColumns, (float32_t *)B_f32);
+
+  /* Initialise X Matrix Instance with numRows, numCols and data array(X_f32) */
+  srcRows = 4;
+  srcColumns = 1;
+  arm_mat_init_f32(&X, srcRows, srcColumns, X_f32);
+
+  /* calculation ((Inverse((Transpose(A) * A)) *  Transpose(A)) * B) */
+  status = arm_mat_mult_f32(&ATMA, &B, &X);
+
+  /* Comparison of reference with test output */
+  snr = arm_snr_f32((float32_t *)xRef_f32, X_f32, 4);
+
+  /*------------------------------------------------------------------------------
+  *            Initialise status depending on SNR calculations
+  *------------------------------------------------------------------------------*/
+  if ( snr > SNR_THRESHOLD)
+  {
+    status = ARM_MATH_SUCCESS;
+  }
+  else
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+
+  /* ----------------------------------------------------------------------
+  ** Loop here if the signals fail the PASS check.
+  ** This denotes a test failure
+  ** ------------------------------------------------------------------- */
+  if ( status != ARM_MATH_SUCCESS)
+  {
+    while (1);
+  }
+
+  while (1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.c
new file mode 100644
index 0000000..f615e6f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:        17. January 2013
+* $Revision: 	V1.4.0  b
+*
+* Project: 	    CMSIS DSP Library
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief  Caluclation of SNR
+ * @param[in]  pRef 	Pointer to the reference buffer
+ * @param[in]  pTest	Pointer to the test buffer
+ * @param[in]  buffSize	total number of samples
+ * @return     SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if (temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Converts float to fixed in q12.20 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to outputbuffer
+ * @param[in]  numSamples  number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/**
+ * @brief  Caluclates number of guard bits
+ * @param[in]  num_adds 	number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/**
+ * @brief  Apply guard bits to buffer
+ * @param[in,out]  pIn         pointer to input buffer
+ * @param[in]      numSamples  number of samples in the input buffer
+ * @param[in]      guard_bits  guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+						   uint32_t numSamples,
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/**
+ * @brief  Calculates pow(2, numShifts)
+ * @param[in]  numShifts 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }
+
+  return(val);
+}
+
+
+
+/**
+ * @brief  Converts float to fixed q14
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/**
+ * @brief  Converts float to fixed q28 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Clip the float values to +/- 1
+ * @param[in,out]  pIn           input buffer
+ * @param[in]      numSamples    number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if (pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if ( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+
+    }
+}
+
+
+
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.h b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.h
new file mode 100644
index 0000000..5a18734
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_matrix_example/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/Abstract.txt b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/Abstract.txt
new file mode 100644
index 0000000..d202e78
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_signal_converge_example for
+  Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
+
+The example is configured for uVision Simulator.
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM0/startup_ARMCM0.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM0/startup_ARMCM0.s
new file mode 100644
index 0000000..bdb4be7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM0/startup_ARMCM0.s
@@ -0,0 +1,159 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM0.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM0 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    ( 22 * 4)                           ; Interrupts 10 .. 31 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM0/system_ARMCM0.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM0/system_ARMCM0.c
new file mode 100644
index 0000000..d735adf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM0/system_ARMCM0.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM3/startup_ARMCM3.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM3/startup_ARMCM3.s
new file mode 100644
index 0000000..81a33d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM3/startup_ARMCM3.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM3.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM3 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM3/system_ARMCM3.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM3/system_ARMCM3.c
new file mode 100644
index 0000000..5578e23
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM3/system_ARMCM3.c
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
new file mode 100644
index 0000000..93f7f27
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM4.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM4 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
new file mode 100644
index 0000000..cfac6b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
new file mode 100644
index 0000000..f9d954a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM7.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM7 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
new file mode 100644
index 0000000..affc835
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_data.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_data.c
new file mode 100644
index 0000000..3a2337d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_data.c
@@ -0,0 +1,269 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*   
+* Project: 	    CMSIS DSP Library   
+* Title:	     	arm_signal_converge_data.c
+*   
+* Description:	 Test input data for Floating point LMS Norm FIR filter
+*   
+* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+** Test input data for Floating point LMS Norm FIR filter
+** Generated by the MATLAB randn() function
+** ------------------------------------------------------------------- */
+
+float32_t testInput_f32[1536] = 
+{   
+-0.432565,	-1.665584,	0.125332,	0.287676,	-1.146471,	1.190915,	1.189164,	-0.037633,	
+0.327292,	0.174639,	-0.186709,	0.725791,	-0.588317,	2.183186,	-0.136396,	0.113931,	
+1.066768,	0.059281,	-0.095648,	-0.832349,	0.294411,	-1.336182,	0.714325,	1.623562,	
+-0.691776,	0.857997,	1.254001,	-1.593730,	-1.440964,	0.571148,	-0.399886,	0.689997,	
+0.815622,	0.711908,	1.290250,	0.668601,	1.190838,	-1.202457,	-0.019790,	-0.156717,	
+-1.604086,	0.257304,	-1.056473,	1.415141,	-0.805090,	0.528743,	0.219321,	-0.921902,	
+-2.170674,	-0.059188,	-1.010634,	0.614463,	0.507741,	1.692430,	0.591283,	-0.643595,	
+0.380337,	-1.009116,	-0.019511,	-0.048221,	0.000043,	-0.317859,	1.095004,	-1.873990,	
+0.428183,	0.895638,	0.730957,	0.577857,	0.040314,	0.677089,	0.568900,	-0.255645,	
+-0.377469,	-0.295887,	-1.475135,	-0.234004,	0.118445,	0.314809,	1.443508,	-0.350975,	
+0.623234,	0.799049,	0.940890,	-0.992092,	0.212035,	0.237882,	-1.007763,	-0.742045,	
+1.082295,	-0.131500,	0.389880,	0.087987,	-0.635465,	-0.559573,	0.443653,	-0.949904,	
+0.781182,	0.568961,	-0.821714,	-0.265607,	-1.187777,	-2.202321,	0.986337,	-0.518635,	
+0.327368,	0.234057,	0.021466,	-1.003944,	-0.947146,	-0.374429,	-1.185886,	-1.055903,	
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+-0.072801,	-0.994310,	-0.747358,	-0.030814,	0.988355,	-0.599017,	1.476644,	-0.813801,	
+0.645040,	-1.309919,	-0.867425,	-0.474233,	0.222417,	1.871323,	0.110001,	-0.411341,	
+0.511242,	-1.199117,	-0.096361,	0.445817,	-0.295825,	-0.167996,	0.179543,	0.421118,	
+1.677678,	1.996949,	0.696964,	-1.366382,	0.363045,	-0.567044,	-1.044154,	0.697139,	
+0.484026,	-0.193751,	-0.378095,	-0.886374,	-1.840197,	-1.628195,	-1.173789,	-0.415411,	
+0.175088,	0.229433,	-1.240889,	0.700004,	0.426877,	1.454803,	-0.510186,	-0.006657,	
+-0.525496,	0.717698,	1.088374,	0.500552,	2.771790,	-0.160309,	0.429489,	-1.966817,	
+-0.546019,	-1.888395,	-0.107952,	-1.316144,	-0.672632,	-0.902365,	-0.154798,	0.947242,	
+1.550375,	0.429040,	-0.560795,	0.179304,	-0.771509,	-0.943390,	-1.407569,	-1.906131,	
+-0.065293,	0.672149,	0.206147,	-0.008124,	0.020042,	-0.558447,	1.886079,	-0.219975,	
+-1.414395,	-0.302811,	-0.569574,	-0.121495,	-0.390171,	-0.844287,	-1.737757,	-0.449520,	
+-1.547933,	-0.095776,	0.907714,	2.369602,	0.519768,	0.410525,	1.052585,	0.428784,	
+1.295088,	-0.186053,	0.130733,	-0.657627,	-0.759267,	-0.595170,	0.812400,	0.069541,	
+-1.833687,	1.827363,	0.654075,	-1.544769,	-0.375109,	0.207688,	-0.765615,	-0.106355,	
+0.338769,	1.033461,	-1.404822,	-1.030570,	-0.643372,	0.170787,	1.344839,	1.936273,	
+0.741336,	0.811980,	-0.142808,	-0.099858,	-0.800131,	0.493249,	1.237574,	1.295951,	
+-0.278196,	0.217127,	0.630728,	-0.548549,	0.229632,	0.355311,	0.521284,	-0.615971,	
+1.345803,	0.974922,	-2.377934,	-1.092319,	-0.325710,	-2.012228,	1.567660,	0.233337,	
+0.646420,	-1.129412,	0.197038,	1.696870,	0.726034,	0.792526,	0.603357,	-0.058405,	
+-1.108666,	2.144229,	-1.352821,	0.457021,	0.391175,	2.073013,	-0.323318,	1.468132,	
+-0.502399,	0.209593,	0.754800,	-0.948189,	0.613157,	1.760503,	0.088762,	2.595570,	
+-0.675470,	2.786804,	-0.016827,	0.271651,	-0.914102,	-1.951371,	-0.317418,	0.588333,	
+0.828996,	-1.674851,	-1.922293,	-0.436662,	0.044974,	2.416609,	-0.309892,	0.187583,	
+0.947699,	-0.525703,	-1.115605,	-1.592320,	1.174844,	0.485144,	1.645480,	-0.454233,	
+1.008768,	2.049403,	0.602020,	0.017860,	-1.610426,	1.238752,	0.683587,	-0.780716,	
+0.530979,	2.134498,	0.354361,	0.231700,	1.287980,	-0.013488,	-1.333345,	-0.556343,	
+0.755597,	-0.911854,	1.371684,	0.245580,	0.118845,	0.384690,	-0.070152,	-0.578309,	
+0.469308,	1.299687,	1.634798,	-0.702809,	0.807253,	-1.027451,	1.294496,	0.014930,	
+0.218705,	1.713188,	-2.078805,	0.112917,	-1.086491,	-1.558311,	0.637406,	-0.404576,	
+-0.403325,	0.084076,	-0.435349,	-0.562623,	0.878062,	-0.814650,	-0.258363,	0.493299,	
+-0.802694,	-0.008329,	0.627571,	0.154382,	2.580735,	-1.306246,	1.023526,	0.777795,	
+-0.833884,	-0.586663,	0.065664,	-0.012342,	-0.076987,	-1.558587,	1.702607,	-0.468984,	
+0.094619,	0.287071,	0.919354,	0.510136,	0.245440,	-1.400519,	0.969571,	1.593698,	
+-1.437917,	-1.534230,	-0.074710,	0.081459,	-0.843240,	-0.564640,	-0.028207,	-1.243702,	
+0.733039,	0.059580,	0.149144,	1.595857,	-0.777250,	1.550277,	1.055002,	-0.166654,	
+0.314484,	1.419571,	0.327348,	0.475653,	0.398754,	-0.072770,	1.314784,	0.978279,	
+1.722114,	-0.412302,	0.565133,	0.739851,	0.220138,	1.312807,	0.629152,	-1.107987,	
+-0.447001,	-0.725993,	0.354045,	-0.506772,	-2.103747,	-0.664684,	1.450110,	-0.329805,	
+2.701872,	-1.634939,	-0.536325,	0.547223,	1.492603,	-0.455243,	-0.496416,	1.235260,	
+0.040926,	0.748467,	1.230764,	0.304903,	1.077771,	0.765151,	-1.319580,	-0.509191,	
+0.555116,	-1.957625,	-0.760453,	-2.443886,	-0.659366,	-0.114779,	0.300079,	-0.583996,	
+-3.073745,	1.551042,	-0.407369,	1.428095,	-1.353242,	0.903970,	0.541671,	-0.465020
+};
+
+
+
+/* ----------------------------------------------------------------------
+** Coefficients for 32-tap filter for Floating point LMS FIR filter
+*  FIR high pass filter with cutoff freq 9.6kHz (transition 9.6KHz to 11.52KHz) 
+** ------------------------------------------------------------------- */  
+float32_t lmsNormCoeff_f32[32] = {
+-0.004240,	0.002301,	0.008860,	-0.000000,	-0.019782,	-0.010543,	0.032881,	0.034736,	
+-0.037374,	-0.069586,	0.022397,	0.102169,	0.014185,	-0.115908,	-0.061648,	0.101018,	
+0.101018,	-0.061648,	-0.115908,	0.014185,	0.102169,	0.022397,	-0.069586,	-0.037374,	
+0.034736,	0.032881,	-0.010543,	-0.019782,	-0.000000,	0.008860,	0.002301,	-0.004240	
+
+};
+
+/* ----------------------------------------------------------------------
+** Coefficients for 32-tap filter for Floating point FIR filter
+*  FIR low pass filter with cutoff freq 24Hz (transition 24Hz to 240Hz) 
+** ------------------------------------------------------------------- */  
+const float32_t FIRCoeff_f32[32] = {
+0.004502,	0.005074,	0.006707,	0.009356,	0.012933,	0.017303,	0.022298,	0.027717,	
+0.033338,	0.038930,	0.044258,	0.049098,	0.053243,	0.056519,	0.058784,	0.059941,	
+0.059941,	0.058784,	0.056519,	0.053243,	0.049098,	0.044258,	0.038930,	0.033338,	
+0.027717,	0.022298,	0.017303,	0.012933,	0.009356,	0.006707,	0.005074,	0.004502
+
+};
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_example_f32.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_example_f32.c
new file mode 100644
index 0000000..d984e2f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/arm_signal_converge_example_f32.c
@@ -0,0 +1,259 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_signal_converge_example_f32.c
+*
+* Description:   Example code demonstrating convergence of an adaptive
+*                filter.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+ * -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup SignalConvergence Signal Convergence Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the ability of an adaptive filter to "learn" the transfer function of
+ * a FIR lowpass filter using the Normalized LMS Filter, Finite Impulse
+ * Response (FIR) Filter, and Basic Math Functions.
+ *
+ * \par Algorithm:
+ * \par
+ * The figure below illustrates the signal flow in this example. Uniformly distributed white
+ * noise is passed through an FIR lowpass filter. The output of the FIR filter serves as the
+ * reference input of the adaptive filter (normalized LMS filter). The white noise is input
+ * to the adaptive filter. The adaptive filter learns the transfer function of the FIR filter.
+ * The filter outputs two signals: (1) the output of the internal adaptive FIR filter, and
+ * (2) the error signal which is the difference between the adaptive filter and the reference
+ * output of the FIR filter. Over time as the adaptive filter learns the transfer function
+ * of the FIR filter, the first output approaches the reference output of the FIR filter,
+ * and the error signal approaches zero.
+ * \par
+ * The adaptive filter converges properly even if the input signal has a large dynamic
+ * range (i.e., varies from small to large values). The coefficients of the adaptive filter
+ * are initially zero, and then converge over 1536 samples. The internal function test_signal_converge()
+ * implements the stopping condition. The function checks if all of the values of the error signal have a
+ * magnitude below a threshold DELTA.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html SignalFlow.gif
+ *
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 points to the input data
+ * \li \c firStateF32 points to FIR state buffer
+ * \li \c lmsStateF32 points to Normalised Least mean square FIR filter state buffer
+ * \li \c FIRCoeff_f32 points to coefficient buffer
+ * \li \c lmsNormCoeff_f32 points to Normalised Least mean square FIR filter coefficient buffer
+ * \li \c wire1, wir2, wire3 temporary buffers
+ * \li \c errOutput, err_signal temporary error buffers
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_lms_norm_init_f32()
+ * - arm_fir_init_f32()
+ * - arm_fir_f32()
+ * - arm_lms_norm_f32()
+ * - arm_scale_f32()
+ * - arm_abs_f32()
+ * - arm_sub_f32()
+ * - arm_min_f32()
+ * - arm_copy_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_signal_converge_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_signal_converge_example_f32.c
+  */
+
+#include "arm_math.h"
+#include "math_helper.h"
+
+/* ----------------------------------------------------------------------
+** Global defines for the simulation
+* ------------------------------------------------------------------- */
+
+#define TEST_LENGTH_SAMPLES 1536
+#define NUMTAPS               32
+#define BLOCKSIZE             32
+#define DELTA_ERROR         0.000001f
+#define DELTA_COEFF         0.0001f
+#define MU                  0.5f
+
+#define NUMFRAMES (TEST_LENGTH_SAMPLES / BLOCKSIZE)
+
+/* ----------------------------------------------------------------------
+* Declare FIR state buffers and structure
+* ------------------------------------------------------------------- */
+
+float32_t firStateF32[NUMTAPS + BLOCKSIZE];
+arm_fir_instance_f32 LPF_instance;
+
+/* ----------------------------------------------------------------------
+* Declare LMSNorm state buffers and structure
+* ------------------------------------------------------------------- */
+
+float32_t lmsStateF32[NUMTAPS + BLOCKSIZE];
+float32_t errOutput[TEST_LENGTH_SAMPLES];
+arm_lms_norm_instance_f32 lmsNorm_instance;
+
+
+/* ----------------------------------------------------------------------
+* Function Declarations for Signal Convergence Example
+* ------------------------------------------------------------------- */
+
+arm_status test_signal_converge_example( void );
+
+
+/* ----------------------------------------------------------------------
+* Internal functions
+* ------------------------------------------------------------------- */
+arm_status test_signal_converge(float32_t* err_signal,
+                        uint32_t blockSize);
+
+void getinput(float32_t* input,
+     uint32_t fr_cnt,
+          uint32_t blockSize);
+
+/* ----------------------------------------------------------------------
+* External Declarations for FIR F32 module Test
+* ------------------------------------------------------------------- */
+extern float32_t testInput_f32[TEST_LENGTH_SAMPLES];
+extern float32_t lmsNormCoeff_f32[32];
+extern const float32_t FIRCoeff_f32[32];
+extern arm_lms_norm_instance_f32 lmsNorm_instance;
+
+/* ----------------------------------------------------------------------
+* Declare I/O buffers
+* ------------------------------------------------------------------- */
+
+float32_t wire1[BLOCKSIZE];
+float32_t wire2[BLOCKSIZE];
+float32_t wire3[BLOCKSIZE];
+float32_t err_signal[BLOCKSIZE];
+
+/* ----------------------------------------------------------------------
+* Signal converge test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+  uint32_t i;
+  arm_status status;
+  uint32_t index;
+  float32_t minValue;
+
+  /* Initialize the LMSNorm data structure */
+  arm_lms_norm_init_f32(&lmsNorm_instance, NUMTAPS, lmsNormCoeff_f32, lmsStateF32, MU, BLOCKSIZE);
+
+  /* Initialize the FIR data structure */
+  arm_fir_init_f32(&LPF_instance, NUMTAPS, (float32_t *)FIRCoeff_f32, firStateF32, BLOCKSIZE);
+
+  /* ----------------------------------------------------------------------
+  * Loop over the frames of data and execute each of the processing
+  * functions in the system.
+  * ------------------------------------------------------------------- */
+
+  for(i=0; i < NUMFRAMES; i++)
+  {
+    /* Read the input data - uniformly distributed random noise - into wire1 */
+    arm_copy_f32(testInput_f32 + (i * BLOCKSIZE), wire1, BLOCKSIZE);
+
+    /* Execute the FIR processing function.  Input wire1 and output wire2 */
+    arm_fir_f32(&LPF_instance, wire1, wire2, BLOCKSIZE);
+
+    /* Execute the LMS Norm processing function*/
+
+    arm_lms_norm_f32(&lmsNorm_instance, /* LMSNorm instance */
+         wire1,                         /* Input signal */
+         wire2,                         /* Reference Signal */
+         wire3,                         /* Converged Signal */
+         err_signal,                    /* Error Signal, this will become small as the signal converges */
+         BLOCKSIZE);                    /* BlockSize */
+
+    /* apply overall gain */
+    arm_scale_f32(wire3, 5, wire3, BLOCKSIZE);   /* in-place buffer */
+  }
+
+  status = ARM_MATH_SUCCESS;
+
+  /* -------------------------------------------------------------------------------
+  * Test whether the error signal has reached towards 0.
+  * ----------------------------------------------------------------------------- */
+
+  arm_abs_f32(err_signal, err_signal, BLOCKSIZE);
+  arm_min_f32(err_signal, BLOCKSIZE, &minValue, &index);
+
+  if (minValue > DELTA_ERROR)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  /* ----------------------------------------------------------------------
+  * Test whether the filter coefficients have converged.
+  * ------------------------------------------------------------------- */
+
+  arm_sub_f32((float32_t *)FIRCoeff_f32, lmsNormCoeff_f32, lmsNormCoeff_f32, NUMTAPS);
+
+  arm_abs_f32(lmsNormCoeff_f32, lmsNormCoeff_f32, NUMTAPS);
+  arm_min_f32(lmsNormCoeff_f32, NUMTAPS, &minValue, &index);
+
+  if (minValue > DELTA_COEFF)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+  /* ----------------------------------------------------------------------
+  * Loop here if the signals did not pass the convergence check.
+  * This denotes a test failure
+  * ------------------------------------------------------------------- */
+
+  if ( status != ARM_MATH_SUCCESS)
+  {
+    while (1);
+  }
+
+  while (1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.c
new file mode 100644
index 0000000..f615e6f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.c
@@ -0,0 +1,466 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:        17. January 2013
+* $Revision: 	V1.4.0  b
+*
+* Project: 	    CMSIS DSP Library
+*
+* Title:	    math_helper.c
+*
+* Description:	Definition of all helper functions required.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+*		Include standard header files
+* -------------------------------------------------------------------- */
+#include<math.h>
+
+/* ----------------------------------------------------------------------
+*		Include project header files
+* -------------------------------------------------------------------- */
+#include "math_helper.h"
+
+/**
+ * @brief  Caluclation of SNR
+ * @param[in]  pRef 	Pointer to the reference buffer
+ * @param[in]  pTest	Pointer to the test buffer
+ * @param[in]  buffSize	total number of samples
+ * @return     SNR
+ * The function Caluclates signal to noise ratio for the reference output
+ * and test output
+ */
+
+float arm_snr_f32(float *pRef, float *pTest, uint32_t buffSize)
+{
+  float EnergySignal = 0.0, EnergyError = 0.0;
+  uint32_t i;
+  float SNR;
+  int temp;
+  int *test;
+
+  for (i = 0; i < buffSize; i++)
+    {
+ 	  /* Checking for a NAN value in pRef array */
+	  test =   (int *)(&pRef[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+
+	  /* Checking for a NAN value in pTest array */
+	  test =   (int *)(&pTest[i]);
+      temp =  *test;
+
+	  if (temp == 0x7FC00000)
+	  {
+	  		return(0);
+	  }
+      EnergySignal += pRef[i] * pRef[i];
+      EnergyError += (pRef[i] - pTest[i]) * (pRef[i] - pTest[i]);
+    }
+
+	/* Checking for a NAN value in EnergyError */
+	test =   (int *)(&EnergyError);
+    temp =  *test;
+
+    if (temp == 0x7FC00000)
+    {
+  		return(0);
+    }
+
+
+  SNR = 10 * log10 (EnergySignal / EnergyError);
+
+  return (SNR);
+
+}
+
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q15 (q15_t * input_buf, uint32_t blockSize,
+                            uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Converts float to fixed in q12.20 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to outputbuffer
+ * @param[in]  numSamples  number of samples in the input buffer
+ * @return none
+ * The function converts floating point values to fixed point(q12.20) values
+ */
+
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1048576.0f corresponds to pow(2, 20) */
+      pOut[i] = (q31_t) (pIn[i] * 1048576.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 1.0)
+        {
+          pOut[i] = 0x000FFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Compare MATLAB Reference Output and ARM Test output
+ * @param[in]  pIn         Pointer to Ref buffer
+ * @param[in]  pOut        Pointer to Test buffer
+ * @param[in]  numSamples number of samples in the buffer
+ * @return maximum difference
+ */
+
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+  int32_t diff, diffCrnt = 0;
+  uint32_t maxDiff = 0;
+
+  for (i = 0; i < numSamples; i++)
+  {
+  	diff = pIn[i] - pOut[i];
+  	diffCrnt = (diff > 0) ? diff : -diff;
+
+	if (diffCrnt > maxDiff)
+	{
+		maxDiff = diffCrnt;
+	}
+  }
+
+  return(maxDiff);
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q31 (q31_t * input_buf,
+								 uint32_t blockSize,
+                                 uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+/**
+ * @brief  Provide guard bits for Input buffer
+ * @param[in,out]  input_buf   Pointer to input buffer
+ * @param[in]       blockSize  block Size
+ * @param[in]       guard_bits guard bits
+ * @return none
+ * The function Provides the guard bits for the buffer
+ * to avoid overflow
+ */
+
+void arm_provide_guard_bits_q7 (q7_t * input_buf,
+								uint32_t blockSize,
+                                uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < blockSize; i++)
+    {
+      input_buf[i] = input_buf[i] >> guard_bits;
+    }
+}
+
+
+
+/**
+ * @brief  Caluclates number of guard bits
+ * @param[in]  num_adds 	number of additions
+ * @return guard bits
+ * The function Caluclates the number of guard bits
+ * depending on the numtaps
+ */
+
+uint32_t arm_calc_guard_bits (uint32_t num_adds)
+{
+  uint32_t i = 1, j = 0;
+
+  if (num_adds == 1)
+    {
+      return (0);
+    }
+
+  while (i < num_adds)
+    {
+      i = i * 2;
+      j++;
+    }
+
+  return (j);
+}
+
+/**
+ * @brief  Apply guard bits to buffer
+ * @param[in,out]  pIn         pointer to input buffer
+ * @param[in]      numSamples  number of samples in the input buffer
+ * @param[in]      guard_bits  guard bits
+ * @return none
+ */
+
+void arm_apply_guard_bits (float32_t *pIn,
+						   uint32_t numSamples,
+						   uint32_t guard_bits)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      pIn[i] = pIn[i] * arm_calc_2pow(guard_bits);
+    }
+}
+
+/**
+ * @brief  Calculates pow(2, numShifts)
+ * @param[in]  numShifts 	number of shifts
+ * @return pow(2, numShifts)
+ */
+uint32_t arm_calc_2pow(uint32_t numShifts)
+{
+
+  uint32_t i, val = 1;
+
+  for (i = 0; i < numShifts; i++)
+    {
+      val = val * 2;
+    }
+
+  return(val);
+}
+
+
+
+/**
+ * @brief  Converts float to fixed q14
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q14 (float *pIn, q15_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 16384.0f corresponds to pow(2, 14) */
+      pOut[i] = (q15_t) (pIn[i] * 16384.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFF;
+        }
+
+    }
+
+}
+
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q30 (float *pIn, q31_t * pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 1073741824.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 2.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Converts float to fixed q30 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q29 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	  /* 1073741824.0f corresponds to pow(2, 30) */
+      pOut[i] = (q31_t) (pIn[i] * 536870912.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 4.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+
+/**
+ * @brief  Converts float to fixed q28 format
+ * @param[in]  pIn         pointer to input buffer
+ * @param[out] pOut        pointer to output buffer
+ * @param[in]  numSamples  number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_float_to_q28 (float *pIn, q31_t *pOut, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+	/* 268435456.0f corresponds to pow(2, 28) */
+      pOut[i] = (q31_t) (pIn[i] * 268435456.0f);
+
+      pOut[i] += pIn[i] > 0 ? 0.5 : -0.5;
+
+      if (pIn[i] == (float) 8.0)
+        {
+          pOut[i] = 0x7FFFFFFF;
+        }
+    }
+}
+
+/**
+ * @brief  Clip the float values to +/- 1
+ * @param[in,out]  pIn           input buffer
+ * @param[in]      numSamples    number of samples in the buffer
+ * @return none
+ * The function converts floating point values to fixed point values
+ */
+
+void arm_clip_f32 (float *pIn, uint32_t numSamples)
+{
+  uint32_t i;
+
+  for (i = 0; i < numSamples; i++)
+    {
+      if (pIn[i] > 1.0f)
+	  {
+	    pIn[i] = 1.0;
+	  }
+	  else if ( pIn[i] < -1.0f)
+	  {
+	    pIn[i] = -1.0;
+	  }
+
+    }
+}
+
+
+
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.h b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.h
new file mode 100644
index 0000000..5a18734
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_signal_converge_example/math_helper.h
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------   
+* Copyright (C) 2010-2013 ARM Limited. All rights reserved.   
+*   
+* $Date:        17. January 2013  
+* $Revision: 	V1.4.0   
+*  
+* Project: 	    CMSIS DSP Library 
+*
+* Title:	    math_helper.h
+* 
+* Description:	Prototypes of all helper functions required.  
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*  
+* Redistribution and use in source and binary forms, with or without 
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the 
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE 
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.  
+* -------------------------------------------------------------------- */
+
+
+#include "arm_math.h"
+
+#ifndef MATH_HELPER_H
+#define MATH_HELPER_H
+
+float arm_snr_f32(float *pRef, float *pTest,  uint32_t buffSize);  
+void arm_float_to_q12_20(float *pIn, q31_t * pOut, uint32_t numSamples);
+void arm_provide_guard_bits_q15(q15_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_provide_guard_bits_q31(q31_t *input_buf, uint32_t blockSize, uint32_t guard_bits);
+void arm_float_to_q14(float *pIn, q15_t *pOut, uint32_t numSamples);
+void arm_float_to_q29(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q28(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_float_to_q30(float *pIn, q31_t *pOut, uint32_t numSamples);
+void arm_clip_f32(float *pIn, uint32_t numSamples);
+uint32_t arm_calc_guard_bits(uint32_t num_adds);
+void arm_apply_guard_bits (float32_t * pIn, uint32_t numSamples, uint32_t guard_bits);
+uint32_t arm_compare_fixed_q15(q15_t *pIn, q15_t * pOut, uint32_t numSamples);
+uint32_t arm_compare_fixed_q31(q31_t *pIn, q31_t *pOut, uint32_t numSamples);
+uint32_t arm_calc_2pow(uint32_t guard_bits);
+#endif
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/Abstract.txt b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/Abstract.txt
new file mode 100644
index 0000000..84bd3fd
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_sin_cos_example for
+  Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
+
+The example is configured for uVision Simulator.
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM0/startup_ARMCM0.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM0/startup_ARMCM0.s
new file mode 100644
index 0000000..bdb4be7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM0/startup_ARMCM0.s
@@ -0,0 +1,159 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM0.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM0 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    ( 22 * 4)                           ; Interrupts 10 .. 31 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM0/system_ARMCM0.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM0/system_ARMCM0.c
new file mode 100644
index 0000000..d735adf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM0/system_ARMCM0.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM3/startup_ARMCM3.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM3/startup_ARMCM3.s
new file mode 100644
index 0000000..81a33d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM3/startup_ARMCM3.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM3.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM3 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM3/system_ARMCM3.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM3/system_ARMCM3.c
new file mode 100644
index 0000000..5578e23
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM3/system_ARMCM3.c
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
new file mode 100644
index 0000000..93f7f27
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM4.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM4 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
new file mode 100644
index 0000000..cfac6b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
new file mode 100644
index 0000000..f9d954a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM7.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM7 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
new file mode 100644
index 0000000..affc835
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/arm_sin_cos_example_f32.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/arm_sin_cos_example_f32.c
new file mode 100644
index 0000000..7e2eb00
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_sin_cos_example/arm_sin_cos_example_f32.c
@@ -0,0 +1,161 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         12. March 2014
+* $Revision:     V1.4.3
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_sin_cos_example_f32.c
+*
+* Description:   Example code demonstrating sin and cos calculation of input signal.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup SinCosExample SineCosine Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the Pythagorean trignometric identity with the use of Cosine, Sine, Vector
+ * Multiplication, and Vector Addition functions.
+ *
+ * \par Algorithm:
+ * \par
+ * Mathematically, the Pythagorean trignometric identity is defined by the following equation:
+ *  <pre>sin(x) * sin(x) + cos(x) * cos(x) = 1</pre>
+ * where \c x is the angle in radians.
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html sinCos.gif
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 array of input angle in radians
+ * \li \c testOutput stores sum of the squares of sine and cosine values of input angle
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_cos_f32()
+ * - arm_sin_f32()
+ * - arm_mult_f32()
+ * - arm_add_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_sin_cos_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_sin_cos_example_f32.c
+  */
+
+#include <math.h>
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE   32
+#define DELTA           (0.0001f)
+
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point sin_cos example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+
+const float32_t testInput_f32[MAX_BLOCKSIZE] =
+{
+  -1.244916875853235400,  -4.793533929171324800,   0.360705030233248850,   0.827929644170887320,  -3.299532218312426900,   3.427441903227623800,   3.422401784294607700,  -0.108308165334010680,
+   0.941943896490312180,   0.502609575000365850,  -0.537345278736373500,   2.088817392965764500,  -1.693168684143455700,   6.283185307179590700,  -0.392545884746175080,   0.327893095115825040,
+   3.070147440456292300,   0.170611405884662230,  -0.275275082396073010,  -2.395492805446796300,   0.847311163536506600,  -3.845517018083148800,   2.055818378415868300,   4.672594161978930800,
+  -1.990923030266425800,   2.469305197656249500,   3.609002606064021000,  -4.586736582331667500,  -4.147080139136136300,   1.643756718868359500,  -1.150866392366494800,   1.985805026477433800
+
+
+};
+
+const float32_t testRefOutput_f32 = 1.000000000;
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+uint32_t blockSize = 32;
+float32_t  testOutput;
+float32_t  cosOutput;
+float32_t  sinOutput;
+float32_t  cosSquareOutput;
+float32_t  sinSquareOutput;
+
+/* ----------------------------------------------------------------------
+* Max magnitude FFT Bin test
+* ------------------------------------------------------------------- */
+
+arm_status status;
+
+int32_t main(void)
+{
+  float32_t diff;
+  uint32_t i;
+
+  for(i=0; i< blockSize; i++)
+  {
+    cosOutput = arm_cos_f32(testInput_f32[i]);
+    sinOutput = arm_sin_f32(testInput_f32[i]);
+
+    arm_mult_f32(&cosOutput, &cosOutput, &cosSquareOutput, 1);
+    arm_mult_f32(&sinOutput, &sinOutput, &sinSquareOutput, 1);
+
+    arm_add_f32(&cosSquareOutput, &sinSquareOutput, &testOutput, 1);
+
+    /* absolute value of difference between ref and test */
+    diff = fabsf(testRefOutput_f32 - testOutput);
+
+    /* Comparison of sin_cos value with reference */
+    if (diff > DELTA)
+    {
+       status = ARM_MATH_TEST_FAILURE;
+    }
+
+    if ( status == ARM_MATH_TEST_FAILURE)
+    {
+       while (1);
+    }
+
+  }
+
+  while (1);                             /* main function does not return */
+}
+
+ /** \endlink */
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/Abstract.txt b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/Abstract.txt
new file mode 100644
index 0000000..4dc03b8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/Abstract.txt
@@ -0,0 +1,4 @@
+CMSIS DSP_Lib example arm_variance_example for
+  Cortex-M0, Cortex-M3, Cortex-M4 with FPU and Cortex-M7 with single precision FPU.
+
+The example is configured for uVision Simulator.
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/CMakeLists.txt b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/CMakeLists.txt
new file mode 100644
index 0000000..60f2341
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/CMakeLists.txt
@@ -0,0 +1,46 @@
+cmake_minimum_required (VERSION 3.6)
+project (arm_variance_example VERSION 0.1)
+
+# Needed to include the configBoot module
+list(APPEND CMAKE_MODULE_PATH ${CMAKE_CURRENT_SOURCE_DIR}/../../..)
+
+################################### 
+#
+# LIBRARIES
+#
+###################################
+
+########### 
+#
+# CMSIS DSP
+#
+
+add_subdirectory(../../../Source bin_dsp)
+
+
+################################### 
+#
+# TEST APPLICATION
+#
+###################################
+
+
+add_executable(arm_variance_example)
+
+set(ROOT ${CMAKE_CURRENT_SOURCE_DIR}/../../../../..)
+
+include(configBoot)
+
+target_sources(arm_variance_example PRIVATE arm_variance_example_f32.c)
+
+### Sources and libs
+
+target_link_libraries(arm_variance_example PRIVATE CMSISDSP)
+
+################################### 
+#
+# INSTALLATION
+#
+###################################
+
+install (TARGETS arm_variance_example DESTINATION "${PROJECT_SOURCE_DIR}/varianceExampleBuild.axf")
+\ No newline at end of file
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM0/startup_ARMCM0.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM0/startup_ARMCM0.s
new file mode 100644
index 0000000..bdb4be7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM0/startup_ARMCM0.s
@@ -0,0 +1,159 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM0.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM0 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    ( 22 * 4)                           ; Interrupts 10 .. 31 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM0/system_ARMCM0.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM0/system_ARMCM0.c
new file mode 100644
index 0000000..d735adf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM0/system_ARMCM0.c
@@ -0,0 +1,56 @@
+/**************************************************************************//**
+ * @file     system_ARMCM0.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM0 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM0.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM3/startup_ARMCM3.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM3/startup_ARMCM3.s
new file mode 100644
index 0000000..81a33d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM3/startup_ARMCM3.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM3.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM3 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM3/system_ARMCM3.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM3/system_ARMCM3.c
new file mode 100644
index 0000000..5578e23
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM3/system_ARMCM3.c
@@ -0,0 +1,68 @@
+/**************************************************************************//**
+ * @file     system_ARMCM3.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM3 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "ARMCM3.h"
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
new file mode 100644
index 0000000..93f7f27
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM4_FP/startup_ARMCM4.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM4.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM4 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
new file mode 100644
index 0000000..cfac6b2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM4_FP/system_ARMCM4.c
@@ -0,0 +1,83 @@
+/**************************************************************************//**
+ * @file     system_ARMCM4.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM4 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM4)
+  #include "ARMCM4.h"
+#elif defined (ARMCM4_FP)
+  #include "ARMCM4_FP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
new file mode 100644
index 0000000..f9d954a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM7_SP/startup_ARMCM7.s
@@ -0,0 +1,163 @@
+;/**************************************************************************//**
+; * @file     startup_ARMCM7.s
+; * @brief    CMSIS Core Device Startup File for
+; *           ARMCM7 Device
+; * @version  V5.3.1
+; * @date     09. July 2018
+; ******************************************************************************/
+;/*
+; * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+;//-------- <<< Use Configuration Wizard in Context Menu >>> ------------------
+
+
+;<h> Stack Configuration
+;  <o> Stack Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Stack_Size      EQU      0x00000400
+
+                AREA     STACK, NOINIT, READWRITE, ALIGN=3
+__stack_limit
+Stack_Mem       SPACE    Stack_Size
+__initial_sp
+
+
+;<h> Heap Configuration
+;  <o> Heap Size (in Bytes) <0x0-0xFFFFFFFF:8>
+;</h>
+
+Heap_Size       EQU      0x00000C00
+
+                IF       Heap_Size != 0                      ; Heap is provided
+                AREA     HEAP, NOINIT, READWRITE, ALIGN=3
+__heap_base
+Heap_Mem        SPACE    Heap_Size
+__heap_limit
+                ENDIF
+
+
+                PRESERVE8
+                THUMB
+
+
+; Vector Table Mapped to Address 0 at Reset
+
+                AREA     RESET, DATA, READONLY
+                EXPORT   __Vectors
+                EXPORT   __Vectors_End
+                EXPORT   __Vectors_Size
+
+__Vectors       DCD      __initial_sp                        ;     Top of Stack
+                DCD      Reset_Handler                       ;     Reset Handler
+                DCD      NMI_Handler                         ; -14 NMI Handler
+                DCD      HardFault_Handler                   ; -13 Hard Fault Handler
+                DCD      MemManage_Handler                   ; -12 MPU Fault Handler
+                DCD      BusFault_Handler                    ; -11 Bus Fault Handler
+                DCD      UsageFault_Handler                  ; -10 Usage Fault Handler
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      0                                   ;     Reserved
+                DCD      SVC_Handler                         ;  -5 SVCall Handler
+                DCD      DebugMon_Handler                    ;  -4 Debug Monitor Handler
+                DCD      0                                   ;     Reserved
+                DCD      PendSV_Handler                      ;  -2 PendSV Handler
+                DCD      SysTick_Handler                     ;  -1 SysTick Handler
+
+                ; Interrupts
+                DCD      Interrupt0_Handler                  ;   0 Interrupt 0
+                DCD      Interrupt1_Handler                  ;   1 Interrupt 1
+                DCD      Interrupt2_Handler                  ;   2 Interrupt 2
+                DCD      Interrupt3_Handler                  ;   3 Interrupt 3
+                DCD      Interrupt4_Handler                  ;   4 Interrupt 4
+                DCD      Interrupt5_Handler                  ;   5 Interrupt 5
+                DCD      Interrupt6_Handler                  ;   6 Interrupt 6
+                DCD      Interrupt7_Handler                  ;   7 Interrupt 7
+                DCD      Interrupt8_Handler                  ;   8 Interrupt 8
+                DCD      Interrupt9_Handler                  ;   9 Interrupt 9
+
+                SPACE    (214 * 4)                           ; Interrupts 10 .. 224 are left out
+__Vectors_End
+__Vectors_Size  EQU      __Vectors_End - __Vectors
+
+
+                AREA     |.text|, CODE, READONLY
+
+; Reset Handler
+
+Reset_Handler   PROC
+                EXPORT   Reset_Handler             [WEAK]
+                IMPORT   SystemInit
+                IMPORT   __main
+
+                LDR      R0, =SystemInit
+                BLX      R0
+                LDR      R0, =__main
+                BX       R0
+                ENDP
+
+
+; Macro to define default exception/interrupt handlers.
+; Default handler are weak symbols with an endless loop.
+; They can be overwritten by real handlers.
+                MACRO
+                Set_Default_Handler  $Handler_Name
+$Handler_Name   PROC
+                EXPORT   $Handler_Name             [WEAK]
+                B        .
+                ENDP
+                MEND
+
+
+; Default exception/interrupt handler
+
+                Set_Default_Handler  NMI_Handler
+                Set_Default_Handler  HardFault_Handler
+                Set_Default_Handler  MemManage_Handler
+                Set_Default_Handler  BusFault_Handler
+                Set_Default_Handler  UsageFault_Handler
+                Set_Default_Handler  SVC_Handler
+                Set_Default_Handler  DebugMon_Handler
+                Set_Default_Handler  PendSV_Handler
+                Set_Default_Handler  SysTick_Handler
+
+                Set_Default_Handler  Interrupt0_Handler
+                Set_Default_Handler  Interrupt1_Handler
+                Set_Default_Handler  Interrupt2_Handler
+                Set_Default_Handler  Interrupt3_Handler
+                Set_Default_Handler  Interrupt4_Handler
+                Set_Default_Handler  Interrupt5_Handler
+                Set_Default_Handler  Interrupt6_Handler
+                Set_Default_Handler  Interrupt7_Handler
+                Set_Default_Handler  Interrupt8_Handler
+                Set_Default_Handler  Interrupt9_Handler
+
+                ALIGN
+
+
+; User setup Stack & Heap
+
+                EXPORT   __stack_limit
+                EXPORT   __initial_sp
+                IF       Heap_Size != 0                      ; Heap is provided
+                EXPORT   __heap_base
+                EXPORT   __heap_limit
+                ENDIF
+
+                END
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
new file mode 100644
index 0000000..affc835
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/RTE/Device/ARMCM7_SP/system_ARMCM7.c
@@ -0,0 +1,85 @@
+/**************************************************************************//**
+ * @file     system_ARMCM7.c
+ * @brief    CMSIS Device System Source File for
+ *           ARMCM7 Device
+ * @version  V5.3.1
+ * @date     09. July 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2009-2018 Arm Limited. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#if defined (ARMCM7)
+  #include "ARMCM7.h"
+#elif defined (ARMCM7_SP)
+  #include "ARMCM7_SP.h"
+#elif defined (ARMCM7_DP)
+  #include "ARMCM7_DP.h"
+#else
+  #error device not specified!
+#endif
+
+/*----------------------------------------------------------------------------
+  Define clocks
+ *----------------------------------------------------------------------------*/
+#define  XTAL            (50000000UL)     /* Oscillator frequency */
+
+#define  SYSTEM_CLOCK    (XTAL / 2U)
+
+
+/*----------------------------------------------------------------------------
+  Externals
+ *----------------------------------------------------------------------------*/
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  extern uint32_t __Vectors;
+#endif
+
+/*----------------------------------------------------------------------------
+  System Core Clock Variable
+ *----------------------------------------------------------------------------*/
+uint32_t SystemCoreClock = SYSTEM_CLOCK;  /* System Core Clock Frequency */
+
+
+/*----------------------------------------------------------------------------
+  System Core Clock update function
+ *----------------------------------------------------------------------------*/
+void SystemCoreClockUpdate (void)
+{
+  SystemCoreClock = SYSTEM_CLOCK;
+}
+
+/*----------------------------------------------------------------------------
+  System initialization function
+ *----------------------------------------------------------------------------*/
+void SystemInit (void)
+{
+
+#if defined (__VTOR_PRESENT) && (__VTOR_PRESENT == 1U)
+  SCB->VTOR = (uint32_t) &__Vectors;
+#endif
+
+#if defined (__FPU_USED) && (__FPU_USED == 1U)
+  SCB->CPACR |= ((3U << 10U*2U) |           /* enable CP10 Full Access */
+                 (3U << 11U*2U)  );         /* enable CP11 Full Access */
+#endif
+
+#ifdef UNALIGNED_SUPPORT_DISABLE
+  SCB->CCR |= SCB_CCR_UNALIGN_TRP_Msk;
+#endif
+
+  SystemCoreClock = SYSTEM_CLOCK;
+}
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/arm_variance_example_f32.c b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/arm_variance_example_f32.c
new file mode 100644
index 0000000..b980309
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/arm_variance_example/arm_variance_example_f32.c
@@ -0,0 +1,225 @@
+/* ----------------------------------------------------------------------
+* Copyright (C) 2010-2012 ARM Limited. All rights reserved.
+*
+* $Date:         17. January 2013
+* $Revision:     V1.4.0
+*
+* Project:       CMSIS DSP Library
+* Title:         arm_variance_example_f32.c
+*
+* Description:   Example code demonstrating variance calculation of input sequence.
+*
+* Target Processor: Cortex-M4/Cortex-M3
+*
+* Redistribution and use in source and binary forms, with or without
+* modification, are permitted provided that the following conditions
+* are met:
+*   - Redistributions of source code must retain the above copyright
+*     notice, this list of conditions and the following disclaimer.
+*   - Redistributions in binary form must reproduce the above copyright
+*     notice, this list of conditions and the following disclaimer in
+*     the documentation and/or other materials provided with the
+*     distribution.
+*   - Neither the name of ARM LIMITED nor the names of its contributors
+*     may be used to endorse or promote products derived from this
+*     software without specific prior written permission.
+*
+* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
+* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
+* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
+* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
+* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
+* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+* POSSIBILITY OF SUCH DAMAGE.
+* -------------------------------------------------------------------- */
+
+/**
+ * @ingroup groupExamples
+ */
+
+/**
+ * @defgroup VarianceExample Variance Example
+ *
+ * \par Description:
+ * \par
+ * Demonstrates the use of Basic Math and Support Functions to calculate the variance of an
+ * input sequence with N samples. Uniformly distributed white noise is taken as input.
+ *
+ * \par Algorithm:
+ * \par
+ * The variance of a sequence is the mean of the squared deviation of the sequence from its mean.
+ * \par
+ * This is denoted by the following equation:
+ * <pre> variance = ((x[0] - x') * (x[0] - x') + (x[1] - x') * (x[1] - x') + ... + * (x[n-1] - x') * (x[n-1] - x')) / (N-1)</pre>
+ * where, <code>x[n]</code> is the input sequence, <code>N</code> is the number of input samples, and
+ * <code>x'</code> is the mean value of the input sequence, <code>x[n]</code>.
+ * \par
+ * The mean value <code>x'</code> is defined as:
+ * <pre> x' = (x[0] + x[1] + ... + x[n-1]) / N</pre>
+ *
+ * \par Block Diagram:
+ * \par
+ * \image html Variance.gif
+ *
+ *
+ * \par Variables Description:
+ * \par
+ * \li \c testInput_f32 points to the input data
+ * \li \c wire1, \c wir2, \c wire3 temporary buffers
+ * \li \c blockSize number of samples processed at a time
+ * \li \c refVarianceOut reference variance value
+ *
+ * \par CMSIS DSP Software Library Functions Used:
+ * \par
+ * - arm_dot_prod_f32()
+ * - arm_mult_f32()
+ * - arm_sub_f32()
+ * - arm_fill_f32()
+ * - arm_copy_f32()
+ *
+ * <b> Refer  </b>
+ * \link arm_variance_example_f32.c \endlink
+ *
+ */
+
+
+/** \example arm_variance_example_f32.c
+  */
+
+#include <math.h>
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+* Defines each of the tests performed
+* ------------------------------------------------------------------- */
+#define MAX_BLOCKSIZE   32
+#define DELTA           (0.000001f)
+
+
+/* ----------------------------------------------------------------------
+* Declare I/O buffers
+* ------------------------------------------------------------------- */
+float32_t wire1[MAX_BLOCKSIZE];
+float32_t wire2[MAX_BLOCKSIZE];
+float32_t wire3[MAX_BLOCKSIZE];
+
+/* ----------------------------------------------------------------------
+* Test input data for Floating point Variance example for 32-blockSize
+* Generated by the MATLAB randn() function
+* ------------------------------------------------------------------- */
+
+float32_t testInput_f32[32] =
+{
+  -0.432564811528221,  -1.665584378238097,   0.125332306474831,   0.287676420358549,
+  -1.146471350681464,   1.190915465642999,   1.189164201652103,  -0.037633276593318,
+   0.327292361408654,   0.174639142820925,  -0.186708577681439,   0.725790548293303,
+  -0.588316543014189,   2.183185818197101,  -0.136395883086596,   0.113931313520810,
+   1.066768211359189,   0.059281460523605,  -0.095648405483669,  -0.832349463650022,
+   0.294410816392640,  -1.336181857937804,   0.714324551818952,   1.623562064446271,
+  -0.691775701702287,   0.857996672828263,   1.254001421602532,  -1.593729576447477,
+  -1.440964431901020,   0.571147623658178,  -0.399885577715363,   0.689997375464345
+
+};
+
+/* ----------------------------------------------------------------------
+* Declare Global variables
+* ------------------------------------------------------------------- */
+uint32_t blockSize = 32;
+float32_t  refVarianceOut = 0.903941793931839;
+
+/* ----------------------------------------------------------------------
+* Variance calculation test
+* ------------------------------------------------------------------- */
+
+int32_t main(void)
+{
+  arm_status status;
+  float32_t mean, oneByBlockSize;
+  float32_t variance;
+  float32_t diff;
+
+  status = ARM_MATH_SUCCESS;
+
+#if defined(FILEIO)
+  printf("START\n");
+#endif
+
+ 
+  /* Calculation of mean value of input */
+
+  /* x' = 1/blockSize * (x(0)* 1 + x(1) * 1 + ... + x(n-1) * 1) */
+
+  /* Fill wire1 buffer with 1.0 value */
+  arm_fill_f32(1.0,  wire1, blockSize);
+
+  /* Calculate the dot product of wire1 and wire2 */
+  /* (x(0)* 1 + x(1) * 1 + ...+ x(n-1) * 1) */
+  arm_dot_prod_f32(testInput_f32, wire1, blockSize, &mean);
+
+  /* Calculation of 1/blockSize */
+  oneByBlockSize = 1.0 / (blockSize);
+
+  /* 1/blockSize * (x(0)* 1 + x(1) * 1 + ... + x(n-1) * 1)  */
+  arm_mult_f32(&mean, &oneByBlockSize, &mean, 1);
+
+
+  /* Calculation of variance value of input */
+
+  /* (1/blockSize) * (x(0) - x') * (x(0) - x') + (x(1) - x') * (x(1) - x') + ... + (x(n-1) - x') * (x(n-1) - x') */
+
+  /* Fill wire2 with mean value x' */
+  arm_fill_f32(mean,  wire2, blockSize);
+
+  /* wire3 contains (x-x') */
+  arm_sub_f32(testInput_f32, wire2, wire3, blockSize);
+
+  /* wire2 contains (x-x') */
+  arm_copy_f32(wire3, wire2, blockSize);
+
+  /* (x(0) - x') * (x(0) - x') + (x(1) - x') * (x(1) - x') + ... + (x(n-1) - x') * (x(n-1) - x') */
+  arm_dot_prod_f32(wire2, wire3, blockSize, &variance);
+
+    /* Calculation of 1/blockSize */
+  oneByBlockSize = 1.0 / (blockSize - 1);
+
+  /* Calculation of variance */
+  arm_mult_f32(&variance, &oneByBlockSize, &variance, 1);
+
+  /* absolute value of difference between ref and test */
+  diff = fabsf(refVarianceOut - variance);
+
+  /* Comparison of variance value with reference */
+  
+  if (diff > DELTA)
+  {
+    status = ARM_MATH_TEST_FAILURE;
+  }
+
+
+#if !defined(FILEIO)
+  if ( status != ARM_MATH_SUCCESS)
+  {
+    while (1);
+  }
+
+  while (1);                            /* main function does not return */
+#else
+  if (status == ARM_MATH_SUCCESS)
+  {
+     printf("SUCCESS\n");
+  }
+  else
+  {
+     printf("FAILURE\n");
+  }
+#endif
+}
+
+ /** \endlink */
+
+
diff --git a/Drivers/CMSIS/DSP/Examples/ARM/boot/RTE_Components.h b/Drivers/CMSIS/DSP/Examples/ARM/boot/RTE_Components.h
new file mode 100644
index 0000000..ef3633f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Examples/ARM/boot/RTE_Components.h
@@ -0,0 +1,5 @@
+#ifndef RTE_COMPONENTS_H
+#define RTE_COMPONENTS_H
+
+
+#endif /* RTE_COMPONENTS_H */
+\ No newline at end of file
diff --git a/Drivers/CMSIS/DSP/Include/arm_common_tables.h b/Drivers/CMSIS/DSP/Include/arm_common_tables.h
new file mode 100644
index 0000000..cf6586f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Include/arm_common_tables.h
@@ -0,0 +1,378 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_common_tables.h
+ * Description:  Extern declaration for common tables
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_COMMON_TABLES_H
+#define _ARM_COMMON_TABLES_H
+
+#include "arm_math.h"
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) 
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREV_1024)
+    extern const uint16_t armBitRevTable[1024];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16)
+    extern const float32_t twiddleCoef_16[32];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_32)
+    extern const float32_t twiddleCoef_32[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64)
+    extern const float32_t twiddleCoef_64[128];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_128)
+    extern const float32_t twiddleCoef_128[256];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256)
+    extern const float32_t twiddleCoef_256[512];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_512)
+    extern const float32_t twiddleCoef_512[1024];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024)
+    extern const float32_t twiddleCoef_1024[2048];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048)
+    extern const float32_t twiddleCoef_2048[4096];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096)
+    extern const float32_t twiddleCoef_4096[8192];
+    #define twiddleCoef twiddleCoef_4096
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16)
+    extern const q31_t twiddleCoef_16_q31[24];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32)
+    extern const q31_t twiddleCoef_32_q31[48];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64)
+    extern const q31_t twiddleCoef_64_q31[96];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128)
+    extern const q31_t twiddleCoef_128_q31[192];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256)
+    extern const q31_t twiddleCoef_256_q31[384];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512)
+    extern const q31_t twiddleCoef_512_q31[768];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024)
+    extern const q31_t twiddleCoef_1024_q31[1536];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048)
+    extern const q31_t twiddleCoef_2048_q31[3072];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096)
+    extern const q31_t twiddleCoef_4096_q31[6144];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16)
+    extern const q15_t twiddleCoef_16_q15[24];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32)
+    extern const q15_t twiddleCoef_32_q15[48];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64)
+    extern const q15_t twiddleCoef_64_q15[96];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128)
+    extern const q15_t twiddleCoef_128_q15[192];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256)
+    extern const q15_t twiddleCoef_256_q15[384];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512)
+    extern const q15_t twiddleCoef_512_q15[768];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024)
+    extern const q15_t twiddleCoef_1024_q15[1536];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048)
+    extern const q15_t twiddleCoef_2048_q15[3072];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096)
+    extern const q15_t twiddleCoef_4096_q15[6144];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)
+    extern const float32_t twiddleCoef_rfft_32[32];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64)
+    extern const float32_t twiddleCoef_rfft_64[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128)
+    extern const float32_t twiddleCoef_rfft_128[128];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256)
+    extern const float32_t twiddleCoef_rfft_256[256];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512)
+    extern const float32_t twiddleCoef_rfft_512[512];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024)
+    extern const float32_t twiddleCoef_rfft_1024[1024];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048)
+    extern const float32_t twiddleCoef_rfft_2048[2048];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096)
+    extern const float32_t twiddleCoef_rfft_4096[4096];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  /* floating-point bit reversal tables */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16)
+    #define ARMBITREVINDEXTABLE_16_TABLE_LENGTH ((uint16_t)20)
+    extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_32)
+    #define ARMBITREVINDEXTABLE_32_TABLE_LENGTH ((uint16_t)48)
+    extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_64)
+    #define ARMBITREVINDEXTABLE_64_TABLE_LENGTH ((uint16_t)56)
+    extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_128)
+    #define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208)
+    extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_256)
+    #define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440)
+    extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_512)
+    #define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448)
+    extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_1024)
+    #define ARMBITREVINDEXTABLE_1024_TABLE_LENGTH ((uint16_t)1800)
+    extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_2048)
+    #define ARMBITREVINDEXTABLE_2048_TABLE_LENGTH ((uint16_t)3808)
+    extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_4096)
+    #define ARMBITREVINDEXTABLE_4096_TABLE_LENGTH ((uint16_t)4032)
+    extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  
+  /* fixed-point bit reversal tables */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16)
+    #define ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH ((uint16_t)12)
+    extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32)
+    #define ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH ((uint16_t)24)
+    extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64)
+    #define ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH ((uint16_t)56)
+    extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128)
+    #define ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH ((uint16_t)112)
+    extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256)
+    #define ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH ((uint16_t)240)
+    extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512)
+    #define ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH ((uint16_t)480)
+    extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024)
+    #define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992)
+    extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048)
+    #define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984)
+    extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096)
+    #define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032)
+    extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_F32)
+    extern const float32_t realCoefA[8192];
+    extern const float32_t realCoefB[8192];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q31)
+    extern const q31_t realCoefAQ31[8192];
+    extern const q31_t realCoefBQ31[8192];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q15)
+    extern const q15_t realCoefAQ15[8192];
+    extern const q15_t realCoefBQ15[8192];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128)
+    extern const float32_t Weights_128[256];
+    extern const float32_t cos_factors_128[128];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_512)
+    extern const float32_t Weights_512[1024];
+    extern const float32_t cos_factors_512[512];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_2048)
+    extern const float32_t Weights_2048[4096];
+    extern const float32_t cos_factors_2048[2048];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_8192)
+    extern const float32_t Weights_8192[16384];
+    extern const float32_t cos_factors_8192[8192];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128)
+    extern const q15_t WeightsQ15_128[256];
+    extern const q15_t cos_factorsQ15_128[128];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512)
+    extern const q15_t WeightsQ15_512[1024];
+    extern const q15_t cos_factorsQ15_512[512];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048)
+    extern const q15_t WeightsQ15_2048[4096];
+    extern const q15_t cos_factorsQ15_2048[2048];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192)
+    extern const q15_t WeightsQ15_8192[16384];
+    extern const q15_t cos_factorsQ15_8192[8192];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128)  
+    extern const q31_t WeightsQ31_128[256];
+    extern const q31_t cos_factorsQ31_128[128];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512) 
+    extern const q31_t WeightsQ31_512[1024];
+    extern const q31_t cos_factorsQ31_512[512];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048) 
+    extern const q31_t WeightsQ31_2048[4096];
+    extern const q31_t cos_factorsQ31_2048[2048];
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192) 
+    extern const q31_t WeightsQ31_8192[16384];
+    extern const q31_t cos_factorsQ31_8192[8192];
+  #endif
+    
+#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES)
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q15)
+    extern const q15_t armRecipTableQ15[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q31)
+    extern const q31_t armRecipTableQ31[64];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+  
+  /* Tables for Fast Math Sine and Cosine */
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32)
+    extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31)
+    extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+  
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q15)
+    extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1];
+  #endif /* !defined(ARM_DSP_CONFIG_TABLES) defined(ARM_ALL_FAST_TABLES) */
+
+#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_TABLES) */
+
+#endif /*  ARM_COMMON_TABLES_H */
diff --git a/Drivers/CMSIS/DSP/Include/arm_const_structs.h b/Drivers/CMSIS/DSP/Include/arm_const_structs.h
new file mode 100644
index 0000000..677073e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Include/arm_const_structs.h
@@ -0,0 +1,66 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_const_structs.h
+ * Description:  Constant structs that are initialized for user convenience.
+ *               For example, some can be given as arguments to the arm_cfft_f32() function.
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_CONST_STRUCTS_H
+#define _ARM_CONST_STRUCTS_H
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048;
+   extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096;
+
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len16;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len32;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len64;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len128;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len256;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len512;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048;
+   extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096;
+
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len16;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len32;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len64;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len128;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len256;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len512;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048;
+   extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096;
+
+#endif
diff --git a/Drivers/CMSIS/DSP/Include/arm_math.h b/Drivers/CMSIS/DSP/Include/arm_math.h
new file mode 100644
index 0000000..fb2bce5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Include/arm_math.h
@@ -0,0 +1,7361 @@
+/******************************************************************************
+ * @file     arm_math.h
+ * @brief    Public header file for CMSIS DSP Library
+ * @version  V1.6.0
+ * @date     18. March 2019
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2019 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+/**
+   \mainpage CMSIS DSP Software Library
+   *
+   * Introduction
+   * ------------
+   *
+   * This user manual describes the CMSIS DSP software library,
+   * a suite of common signal processing functions for use on Cortex-M processor based devices.
+   *
+   * The library is divided into a number of functions each covering a specific category:
+   * - Basic math functions
+   * - Fast math functions
+   * - Complex math functions
+   * - Filters
+   * - Matrix functions
+   * - Transform functions
+   * - Motor control functions
+   * - Statistical functions
+   * - Support functions
+   * - Interpolation functions
+   *
+   * The library has separate functions for operating on 8-bit integers, 16-bit integers,
+   * 32-bit integer and 32-bit floating-point values.
+   *
+   * Using the Library
+   * ------------
+   *
+   * The library installer contains prebuilt versions of the libraries in the <code>Lib</code> folder.
+   * - arm_cortexM7lfdp_math.lib (Cortex-M7, Little endian, Double Precision Floating Point Unit)
+   * - arm_cortexM7bfdp_math.lib (Cortex-M7, Big endian, Double Precision Floating Point Unit)
+   * - arm_cortexM7lfsp_math.lib (Cortex-M7, Little endian, Single Precision Floating Point Unit)
+   * - arm_cortexM7bfsp_math.lib (Cortex-M7, Big endian and Single Precision Floating Point Unit on)
+   * - arm_cortexM7l_math.lib (Cortex-M7, Little endian)
+   * - arm_cortexM7b_math.lib (Cortex-M7, Big endian)
+   * - arm_cortexM4lf_math.lib (Cortex-M4, Little endian, Floating Point Unit)
+   * - arm_cortexM4bf_math.lib (Cortex-M4, Big endian, Floating Point Unit)
+   * - arm_cortexM4l_math.lib (Cortex-M4, Little endian)
+   * - arm_cortexM4b_math.lib (Cortex-M4, Big endian)
+   * - arm_cortexM3l_math.lib (Cortex-M3, Little endian)
+   * - arm_cortexM3b_math.lib (Cortex-M3, Big endian)
+   * - arm_cortexM0l_math.lib (Cortex-M0 / Cortex-M0+, Little endian)
+   * - arm_cortexM0b_math.lib (Cortex-M0 / Cortex-M0+, Big endian)
+   * - arm_ARMv8MBLl_math.lib (Armv8-M Baseline, Little endian)
+   * - arm_ARMv8MMLl_math.lib (Armv8-M Mainline, Little endian)
+   * - arm_ARMv8MMLlfsp_math.lib (Armv8-M Mainline, Little endian, Single Precision Floating Point Unit)
+   * - arm_ARMv8MMLld_math.lib (Armv8-M Mainline, Little endian, DSP instructions)
+   * - arm_ARMv8MMLldfsp_math.lib (Armv8-M Mainline, Little endian, DSP instructions, Single Precision Floating Point Unit)
+   *
+   * The library functions are declared in the public file <code>arm_math.h</code> which is placed in the <code>Include</code> folder.
+   * Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single
+   * public header file <code> arm_math.h</code> for Cortex-M cores with little endian and big endian. Same header file will be used for floating point unit(FPU) variants.
+   *
+   *
+   * Examples
+   * --------
+   *
+   * The library ships with a number of examples which demonstrate how to use the library functions.
+   *
+   * Toolchain Support
+   * ------------
+   *
+   * The library has been developed and tested with MDK version 5.14.0.0
+   * The library is being tested in GCC and IAR toolchains and updates on this activity will be made available shortly.
+   *
+   * Building the Library
+   * ------------
+   *
+   * The library installer contains a project file to rebuild libraries on MDK toolchain in the <code>CMSIS\\DSP\\Projects\\ARM</code> folder.
+   * - arm_cortexM_math.uvprojx
+   *
+   *
+   * The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional preprocessor macros detailed above.
+   *
+   * Preprocessor Macros
+   * ------------
+   *
+   * Each library project have different preprocessor macros.
+   *
+   * - ARM_MATH_BIG_ENDIAN:
+   *
+   * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets.
+   *
+   * - ARM_MATH_MATRIX_CHECK:
+   *
+   * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices
+   *
+   * - ARM_MATH_ROUNDING:
+   *
+   * Define macro ARM_MATH_ROUNDING for rounding on support functions
+   *
+   * - ARM_MATH_LOOPUNROLL:
+   *
+   * Define macro ARM_MATH_LOOPUNROLL to enable manual loop unrolling in DSP functions
+   *
+   * - ARM_MATH_NEON:
+   *
+   * Define macro ARM_MATH_NEON to enable Neon versions of the DSP functions.
+   * It is not enabled by default when Neon is available because performances are 
+   * dependent on the compiler and target architecture.
+   *
+   * - ARM_MATH_NEON_EXPERIMENTAL:
+   *
+   * Define macro ARM_MATH_NEON_EXPERIMENTAL to enable experimental Neon versions of 
+   * of some DSP functions. Experimental Neon versions currently do not have better
+   * performances than the scalar versions.
+   *
+   * <hr>
+   * CMSIS-DSP in ARM::CMSIS Pack
+   * -----------------------------
+   *
+   * The following files relevant to CMSIS-DSP are present in the <b>ARM::CMSIS</b> Pack directories:
+   * |File/Folder                      |Content                                                                 |
+   * |---------------------------------|------------------------------------------------------------------------|
+   * |\b CMSIS\\Documentation\\DSP     | This documentation                                                     |
+   * |\b CMSIS\\DSP\\DSP_Lib_TestSuite | DSP_Lib test suite                                                     |
+   * |\b CMSIS\\DSP\\Examples          | Example projects demonstrating the usage of the library functions      |
+   * |\b CMSIS\\DSP\\Include           | DSP_Lib include files                                                  |
+   * |\b CMSIS\\DSP\\Lib               | DSP_Lib binaries                                                       |
+   * |\b CMSIS\\DSP\\Projects          | Projects to rebuild DSP_Lib binaries                                   |
+   * |\b CMSIS\\DSP\\Source            | DSP_Lib source files                                                   |
+   *
+   * <hr>
+   * Revision History of CMSIS-DSP
+   * ------------
+   * Please refer to \ref ChangeLog_pg.
+   */
+
+
+/**
+ * @defgroup groupMath Basic Math Functions
+ */
+
+/**
+ * @defgroup groupFastMath Fast Math Functions
+ * This set of functions provides a fast approximation to sine, cosine, and square root.
+ * As compared to most of the other functions in the CMSIS math library, the fast math functions
+ * operate on individual values and not arrays.
+ * There are separate functions for Q15, Q31, and floating-point data.
+ *
+ */
+
+/**
+ * @defgroup groupCmplxMath Complex Math Functions
+ * This set of functions operates on complex data vectors.
+ * The data in the complex arrays is stored in an interleaved fashion
+ * (real, imag, real, imag, ...).
+ * In the API functions, the number of samples in a complex array refers
+ * to the number of complex values; the array contains twice this number of
+ * real values.
+ */
+
+/**
+ * @defgroup groupFilters Filtering Functions
+ */
+
+/**
+ * @defgroup groupMatrix Matrix Functions
+ *
+ * This set of functions provides basic matrix math operations.
+ * The functions operate on matrix data structures.  For example,
+ * the type
+ * definition for the floating-point matrix structure is shown
+ * below:
+ * <pre>
+ *     typedef struct
+ *     {
+ *       uint16_t numRows;     // number of rows of the matrix.
+ *       uint16_t numCols;     // number of columns of the matrix.
+ *       float32_t *pData;     // points to the data of the matrix.
+ *     } arm_matrix_instance_f32;
+ * </pre>
+ * There are similar definitions for Q15 and Q31 data types.
+ *
+ * The structure specifies the size of the matrix and then points to
+ * an array of data.  The array is of size <code>numRows X numCols</code>
+ * and the values are arranged in row order.  That is, the
+ * matrix element (i, j) is stored at:
+ * <pre>
+ *     pData[i*numCols + j]
+ * </pre>
+ *
+ * \par Init Functions
+ * There is an associated initialization function for each type of matrix
+ * data structure.
+ * The initialization function sets the values of the internal structure fields.
+ * Refer to \ref arm_mat_init_f32(), \ref arm_mat_init_q31() and \ref arm_mat_init_q15()
+ * for floating-point, Q31 and Q15 types,  respectively.
+ *
+ * \par
+ * Use of the initialization function is optional. However, if initialization function is used
+ * then the instance structure cannot be placed into a const data section.
+ * To place the instance structure in a const data
+ * section, manually initialize the data structure.  For example:
+ * <pre>
+ * <code>arm_matrix_instance_f32 S = {nRows, nColumns, pData};</code>
+ * <code>arm_matrix_instance_q31 S = {nRows, nColumns, pData};</code>
+ * <code>arm_matrix_instance_q15 S = {nRows, nColumns, pData};</code>
+ * </pre>
+ * where <code>nRows</code> specifies the number of rows, <code>nColumns</code>
+ * specifies the number of columns, and <code>pData</code> points to the
+ * data array.
+ *
+ * \par Size Checking
+ * By default all of the matrix functions perform size checking on the input and
+ * output matrices. For example, the matrix addition function verifies that the
+ * two input matrices and the output matrix all have the same number of rows and
+ * columns. If the size check fails the functions return:
+ * <pre>
+ *     ARM_MATH_SIZE_MISMATCH
+ * </pre>
+ * Otherwise the functions return
+ * <pre>
+ *     ARM_MATH_SUCCESS
+ * </pre>
+ * There is some overhead associated with this matrix size checking.
+ * The matrix size checking is enabled via the \#define
+ * <pre>
+ *     ARM_MATH_MATRIX_CHECK
+ * </pre>
+ * within the library project settings.  By default this macro is defined
+ * and size checking is enabled. By changing the project settings and
+ * undefining this macro size checking is eliminated and the functions
+ * run a bit faster. With size checking disabled the functions always
+ * return <code>ARM_MATH_SUCCESS</code>.
+ */
+
+/**
+ * @defgroup groupTransforms Transform Functions
+ */
+
+/**
+ * @defgroup groupController Controller Functions
+ */
+
+/**
+ * @defgroup groupStats Statistics Functions
+ */
+
+/**
+ * @defgroup groupSupport Support Functions
+ */
+
+/**
+ * @defgroup groupInterpolation Interpolation Functions
+ * These functions perform 1- and 2-dimensional interpolation of data.
+ * Linear interpolation is used for 1-dimensional data and
+ * bilinear interpolation is used for 2-dimensional data.
+ */
+
+/**
+ * @defgroup groupExamples Examples
+ */
+
+
+#ifndef _ARM_MATH_H
+#define _ARM_MATH_H
+
+/* Compiler specific diagnostic adjustment */
+#if   defined ( __CC_ARM )
+
+#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )
+
+#elif defined ( __GNUC__ )
+  #pragma GCC diagnostic push
+  #pragma GCC diagnostic ignored "-Wsign-conversion"
+  #pragma GCC diagnostic ignored "-Wconversion"
+  #pragma GCC diagnostic ignored "-Wunused-parameter"
+
+#elif defined ( __ICCARM__ )
+
+#elif defined ( __TI_ARM__ )
+
+#elif defined ( __CSMC__ )
+
+#elif defined ( __TASKING__ )
+
+#elif defined ( _MSC_VER )
+
+#else
+  #error Unknown compiler
+#endif
+
+
+/* Included for instrinsics definitions */
+#if !defined ( _MSC_VER )
+#include "cmsis_compiler.h"
+#else
+#include <stdint.h>
+#define __STATIC_FORCEINLINE static __forceinline
+#define __ALIGNED(x) __declspec(align(x))
+#define LOW_OPTIMIZATION_ENTER
+#define LOW_OPTIMIZATION_EXIT
+#define IAR_ONLY_LOW_OPTIMIZATION_ENTER 
+#define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+#endif
+
+#include "string.h"
+#include "math.h"
+#include "float.h"
+
+/* evaluate ARM DSP feature */
+#if (defined (__ARM_FEATURE_DSP) && (__ARM_FEATURE_DSP == 1))
+  #define ARM_MATH_DSP                   1
+#endif
+
+#if defined(__ARM_NEON)
+#include <arm_neon.h>
+#endif
+
+
+#ifdef   __cplusplus
+extern "C"
+{
+#endif
+
+
+  /**
+   * @brief Macros required for reciprocal calculation in Normalized LMS
+   */
+
+#define DELTA_Q31          (0x100)
+#define DELTA_Q15          0x5
+#define INDEX_MASK         0x0000003F
+#ifndef PI
+  #define PI               3.14159265358979f
+#endif
+
+  /**
+   * @brief Macros required for SINE and COSINE Fast math approximations
+   */
+
+#define FAST_MATH_TABLE_SIZE  512
+#define FAST_MATH_Q31_SHIFT   (32 - 10)
+#define FAST_MATH_Q15_SHIFT   (16 - 10)
+#define CONTROLLER_Q31_SHIFT  (32 - 9)
+#define TABLE_SPACING_Q31     0x400000
+#define TABLE_SPACING_Q15     0x80
+
+  /**
+   * @brief Macros required for SINE and COSINE Controller functions
+   */
+  /* 1.31(q31) Fixed value of 2/360 */
+  /* -1 to +1 is divided into 360 values so total spacing is (2/360) */
+#define INPUT_SPACING         0xB60B61
+
+
+  /**
+   * @brief Error status returned by some functions in the library.
+   */
+
+  typedef enum
+  {
+    ARM_MATH_SUCCESS        =  0,        /**< No error */
+    ARM_MATH_ARGUMENT_ERROR = -1,        /**< One or more arguments are incorrect */
+    ARM_MATH_LENGTH_ERROR   = -2,        /**< Length of data buffer is incorrect */
+    ARM_MATH_SIZE_MISMATCH  = -3,        /**< Size of matrices is not compatible with the operation */
+    ARM_MATH_NANINF         = -4,        /**< Not-a-number (NaN) or infinity is generated */
+    ARM_MATH_SINGULAR       = -5,        /**< Input matrix is singular and cannot be inverted */
+    ARM_MATH_TEST_FAILURE   = -6         /**< Test Failed */
+  } arm_status;
+
+  /**
+   * @brief 8-bit fractional data type in 1.7 format.
+   */
+  typedef int8_t q7_t;
+
+  /**
+   * @brief 16-bit fractional data type in 1.15 format.
+   */
+  typedef int16_t q15_t;
+
+  /**
+   * @brief 32-bit fractional data type in 1.31 format.
+   */
+  typedef int32_t q31_t;
+
+  /**
+   * @brief 64-bit fractional data type in 1.63 format.
+   */
+  typedef int64_t q63_t;
+
+  /**
+   * @brief 32-bit floating-point type definition.
+   */
+  typedef float float32_t;
+
+  /**
+   * @brief 64-bit floating-point type definition.
+   */
+  typedef double float64_t;
+
+
+/**
+  @brief definition to read/write two 16 bit values.
+  @deprecated
+ */
+#if   defined ( __CC_ARM )
+  #define __SIMD32_TYPE int32_t __packed
+#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )
+  #define __SIMD32_TYPE int32_t
+#elif defined ( __GNUC__ )
+  #define __SIMD32_TYPE int32_t
+#elif defined ( __ICCARM__ )
+  #define __SIMD32_TYPE int32_t __packed
+#elif defined ( __TI_ARM__ )
+  #define __SIMD32_TYPE int32_t
+#elif defined ( __CSMC__ )
+  #define __SIMD32_TYPE int32_t
+#elif defined ( __TASKING__ )
+  #define __SIMD32_TYPE __un(aligned) int32_t
+#elif defined(_MSC_VER )
+  #define __SIMD32_TYPE int32_t
+#else
+  #error Unknown compiler
+#endif
+
+#define __SIMD32(addr)        (*(__SIMD32_TYPE **) & (addr))
+#define __SIMD32_CONST(addr)  ( (__SIMD32_TYPE * )   (addr))
+#define _SIMD32_OFFSET(addr)  (*(__SIMD32_TYPE * )   (addr))
+#define __SIMD64(addr)        (*(      int64_t **) & (addr))
+
+/* SIMD replacement */
+
+
+/**
+  @brief         Read 2 Q15 from Q15 pointer.
+  @param[in]     pQ15      points to input value
+  @return        Q31 value
+ */
+__STATIC_FORCEINLINE q31_t read_q15x2 (
+  q15_t * pQ15)
+{
+  q31_t val;
+
+  memcpy (&val, pQ15, 4);
+
+  return (val);
+}
+
+/**
+  @brief         Read 2 Q15 from Q15 pointer and increment pointer afterwards.
+  @param[in]     pQ15      points to input value
+  @return        Q31 value
+ */
+__STATIC_FORCEINLINE q31_t read_q15x2_ia (
+  q15_t ** pQ15)
+{
+  q31_t val;
+
+  memcpy (&val, *pQ15, 4);
+  *pQ15 += 2;
+
+  return (val);
+}
+
+/**
+  @brief         Read 2 Q15 from Q15 pointer and decrement pointer afterwards.
+  @param[in]     pQ15      points to input value
+  @return        Q31 value
+ */
+__STATIC_FORCEINLINE q31_t read_q15x2_da (
+  q15_t ** pQ15)
+{
+  q31_t val;
+
+  memcpy (&val, *pQ15, 4);
+  *pQ15 -= 2;
+
+  return (val);
+}
+
+/**
+  @brief         Write 2 Q15 to Q15 pointer and increment pointer afterwards.
+  @param[in]     pQ15      points to input value
+  @param[in]     value     Q31 value
+  @return        none
+ */
+__STATIC_FORCEINLINE void write_q15x2_ia (
+  q15_t ** pQ15,
+  q31_t    value)
+{
+  q31_t val = value;
+
+  memcpy (*pQ15, &val, 4);
+  *pQ15 += 2;
+}
+
+/**
+  @brief         Write 2 Q15 to Q15 pointer.
+  @param[in]     pQ15      points to input value
+  @param[in]     value     Q31 value
+  @return        none
+ */
+__STATIC_FORCEINLINE void write_q15x2 (
+  q15_t * pQ15,
+  q31_t   value)
+{
+  q31_t val = value;
+
+  memcpy (pQ15, &val, 4);
+}
+
+
+/**
+  @brief         Read 4 Q7 from Q7 pointer and increment pointer afterwards.
+  @param[in]     pQ7       points to input value
+  @return        Q31 value
+ */
+__STATIC_FORCEINLINE q31_t read_q7x4_ia (
+  q7_t ** pQ7)
+{
+  q31_t val;
+
+  memcpy (&val, *pQ7, 4);
+  *pQ7 += 4;
+
+  return (val);
+}
+
+/**
+  @brief         Read 4 Q7 from Q7 pointer and decrement pointer afterwards.
+  @param[in]     pQ7       points to input value
+  @return        Q31 value
+ */
+__STATIC_FORCEINLINE q31_t read_q7x4_da (
+  q7_t ** pQ7)
+{
+  q31_t val;
+
+  memcpy (&val, *pQ7, 4);
+  *pQ7 -= 4;
+
+  return (val);
+}
+
+/**
+  @brief         Write 4 Q7 to Q7 pointer and increment pointer afterwards.
+  @param[in]     pQ7       points to input value
+  @param[in]     value     Q31 value
+  @return        none
+ */
+__STATIC_FORCEINLINE void write_q7x4_ia (
+  q7_t ** pQ7,
+  q31_t   value)
+{
+  q31_t val = value;
+
+  memcpy (*pQ7, &val, 4);
+  *pQ7 += 4;
+}
+
+/*
+
+Normally those kind of definitions are in a compiler file
+in Core or Core_A.
+
+But for MSVC compiler it is a bit special. The goal is very specific
+to CMSIS-DSP and only to allow the use of this library from other
+systems like Python or Matlab.
+
+MSVC is not going to be used to cross-compile to ARM. So, having a MSVC
+compiler file in Core or Core_A would not make sense.
+
+*/
+#if defined ( _MSC_VER )
+    __STATIC_FORCEINLINE uint8_t __CLZ(uint32_t data)
+    {
+      if (data == 0U) { return 32U; }
+
+      uint32_t count = 0U;
+      uint32_t mask = 0x80000000U;
+
+      while ((data & mask) == 0U)
+      {
+        count += 1U;
+        mask = mask >> 1U;
+      }
+      return count;
+    }
+
+  __STATIC_FORCEINLINE int32_t __SSAT(int32_t val, uint32_t sat)
+  {
+    if ((sat >= 1U) && (sat <= 32U))
+    {
+      const int32_t max = (int32_t)((1U << (sat - 1U)) - 1U);
+      const int32_t min = -1 - max ;
+      if (val > max)
+      {
+        return max;
+      }
+      else if (val < min)
+      {
+        return min;
+      }
+    }
+    return val;
+  }
+
+  __STATIC_FORCEINLINE uint32_t __USAT(int32_t val, uint32_t sat)
+  {
+    if (sat <= 31U)
+    {
+      const uint32_t max = ((1U << sat) - 1U);
+      if (val > (int32_t)max)
+      {
+        return max;
+      }
+      else if (val < 0)
+      {
+        return 0U;
+      }
+    }
+    return (uint32_t)val;
+  }
+#endif
+
+#ifndef ARM_MATH_DSP
+  /**
+   * @brief definition to pack two 16 bit values.
+   */
+  #define __PKHBT(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) <<    0) & (int32_t)0x0000FFFF) | \
+                                      (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000)  )
+  #define __PKHTB(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) <<    0) & (int32_t)0xFFFF0000) | \
+                                      (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF)  )
+#endif
+
+   /**
+   * @brief definition to pack four 8 bit values.
+   */
+#ifndef ARM_MATH_BIG_ENDIAN
+  #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) <<  0) & (int32_t)0x000000FF) | \
+                                  (((int32_t)(v1) <<  8) & (int32_t)0x0000FF00) | \
+                                  (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) | \
+                                  (((int32_t)(v3) << 24) & (int32_t)0xFF000000)  )
+#else
+  #define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) <<  0) & (int32_t)0x000000FF) | \
+                                  (((int32_t)(v2) <<  8) & (int32_t)0x0000FF00) | \
+                                  (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) | \
+                                  (((int32_t)(v0) << 24) & (int32_t)0xFF000000)  )
+#endif
+
+
+  /**
+   * @brief Clips Q63 to Q31 values.
+   */
+  __STATIC_FORCEINLINE q31_t clip_q63_to_q31(
+  q63_t x)
+  {
+    return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
+      ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x;
+  }
+
+  /**
+   * @brief Clips Q63 to Q15 values.
+   */
+  __STATIC_FORCEINLINE q15_t clip_q63_to_q15(
+  q63_t x)
+  {
+    return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
+      ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15);
+  }
+
+  /**
+   * @brief Clips Q31 to Q7 values.
+   */
+  __STATIC_FORCEINLINE q7_t clip_q31_to_q7(
+  q31_t x)
+  {
+    return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ?
+      ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x;
+  }
+
+  /**
+   * @brief Clips Q31 to Q15 values.
+   */
+  __STATIC_FORCEINLINE q15_t clip_q31_to_q15(
+  q31_t x)
+  {
+    return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ?
+      ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x;
+  }
+
+  /**
+   * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format.
+   */
+  __STATIC_FORCEINLINE q63_t mult32x64(
+  q63_t x,
+  q31_t y)
+  {
+    return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) +
+            (((q63_t) (x >> 32)                * y)      )  );
+  }
+
+  /**
+   * @brief Function to Calculates 1/in (reciprocal) value of Q31 Data type.
+   */
+  __STATIC_FORCEINLINE uint32_t arm_recip_q31(
+        q31_t in,
+        q31_t * dst,
+  const q31_t * pRecipTable)
+  {
+    q31_t out;
+    uint32_t tempVal;
+    uint32_t index, i;
+    uint32_t signBits;
+
+    if (in > 0)
+    {
+      signBits = ((uint32_t) (__CLZ( in) - 1));
+    }
+    else
+    {
+      signBits = ((uint32_t) (__CLZ(-in) - 1));
+    }
+
+    /* Convert input sample to 1.31 format */
+    in = (in << signBits);
+
+    /* calculation of index for initial approximated Val */
+    index = (uint32_t)(in >> 24);
+    index = (index & INDEX_MASK);
+
+    /* 1.31 with exp 1 */
+    out = pRecipTable[index];
+
+    /* calculation of reciprocal value */
+    /* running approximation for two iterations */
+    for (i = 0U; i < 2U; i++)
+    {
+      tempVal = (uint32_t) (((q63_t) in * out) >> 31);
+      tempVal = 0x7FFFFFFFu - tempVal;
+      /*      1.31 with exp 1 */
+      /* out = (q31_t) (((q63_t) out * tempVal) >> 30); */
+      out = clip_q63_to_q31(((q63_t) out * tempVal) >> 30);
+    }
+
+    /* write output */
+    *dst = out;
+
+    /* return num of signbits of out = 1/in value */
+    return (signBits + 1U);
+  }
+
+
+  /**
+   * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type.
+   */
+  __STATIC_FORCEINLINE uint32_t arm_recip_q15(
+        q15_t in,
+        q15_t * dst,
+  const q15_t * pRecipTable)
+  {
+    q15_t out = 0;
+    uint32_t tempVal = 0;
+    uint32_t index = 0, i = 0;
+    uint32_t signBits = 0;
+
+    if (in > 0)
+    {
+      signBits = ((uint32_t)(__CLZ( in) - 17));
+    }
+    else
+    {
+      signBits = ((uint32_t)(__CLZ(-in) - 17));
+    }
+
+    /* Convert input sample to 1.15 format */
+    in = (in << signBits);
+
+    /* calculation of index for initial approximated Val */
+    index = (uint32_t)(in >>  8);
+    index = (index & INDEX_MASK);
+
+    /*      1.15 with exp 1  */
+    out = pRecipTable[index];
+
+    /* calculation of reciprocal value */
+    /* running approximation for two iterations */
+    for (i = 0U; i < 2U; i++)
+    {
+      tempVal = (uint32_t) (((q31_t) in * out) >> 15);
+      tempVal = 0x7FFFu - tempVal;
+      /*      1.15 with exp 1 */
+      out = (q15_t) (((q31_t) out * tempVal) >> 14);
+      /* out = clip_q31_to_q15(((q31_t) out * tempVal) >> 14); */
+    }
+
+    /* write output */
+    *dst = out;
+
+    /* return num of signbits of out = 1/in value */
+    return (signBits + 1);
+  }
+
+#if defined(ARM_MATH_NEON)
+
+static inline float32x4_t __arm_vec_sqrt_f32_neon(float32x4_t  x)
+{
+    float32x4_t x1 = vmaxq_f32(x, vdupq_n_f32(FLT_MIN));
+    float32x4_t e = vrsqrteq_f32(x1);
+    e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e);
+    e = vmulq_f32(vrsqrtsq_f32(vmulq_f32(x1, e), e), e);
+    return vmulq_f32(x, e);
+}
+
+static inline int16x8_t __arm_vec_sqrt_q15_neon(int16x8_t vec)
+{
+    float32x4_t tempF;
+    int32x4_t tempHI,tempLO;
+
+    tempLO = vmovl_s16(vget_low_s16(vec));
+    tempF = vcvtq_n_f32_s32(tempLO,15);
+    tempF = __arm_vec_sqrt_f32_neon(tempF);
+    tempLO = vcvtq_n_s32_f32(tempF,15);
+
+    tempHI = vmovl_s16(vget_high_s16(vec));
+    tempF = vcvtq_n_f32_s32(tempHI,15);
+    tempF = __arm_vec_sqrt_f32_neon(tempF);
+    tempHI = vcvtq_n_s32_f32(tempF,15);
+
+    return(vcombine_s16(vqmovn_s32(tempLO),vqmovn_s32(tempHI)));
+}
+
+static inline int32x4_t __arm_vec_sqrt_q31_neon(int32x4_t vec)
+{
+  float32x4_t temp;
+
+  temp = vcvtq_n_f32_s32(vec,31);
+  temp = __arm_vec_sqrt_f32_neon(temp);
+  return(vcvtq_n_s32_f32(temp,31));
+}
+
+#endif
+
+/*
+ * @brief C custom defined intrinsic functions
+ */
+#if !defined (ARM_MATH_DSP)
+
+  /*
+   * @brief C custom defined QADD8
+   */
+  __STATIC_FORCEINLINE uint32_t __QADD8(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s, t, u;
+
+    r = __SSAT(((((q31_t)x << 24) >> 24) + (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;
+    s = __SSAT(((((q31_t)x << 16) >> 24) + (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;
+    t = __SSAT(((((q31_t)x <<  8) >> 24) + (((q31_t)y <<  8) >> 24)), 8) & (int32_t)0x000000FF;
+    u = __SSAT(((((q31_t)x      ) >> 24) + (((q31_t)y      ) >> 24)), 8) & (int32_t)0x000000FF;
+
+    return ((uint32_t)((u << 24) | (t << 16) | (s <<  8) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QSUB8
+   */
+  __STATIC_FORCEINLINE uint32_t __QSUB8(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s, t, u;
+
+    r = __SSAT(((((q31_t)x << 24) >> 24) - (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;
+    s = __SSAT(((((q31_t)x << 16) >> 24) - (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;
+    t = __SSAT(((((q31_t)x <<  8) >> 24) - (((q31_t)y <<  8) >> 24)), 8) & (int32_t)0x000000FF;
+    u = __SSAT(((((q31_t)x      ) >> 24) - (((q31_t)y      ) >> 24)), 8) & (int32_t)0x000000FF;
+
+    return ((uint32_t)((u << 24) | (t << 16) | (s <<  8) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QADD16
+   */
+  __STATIC_FORCEINLINE uint32_t __QADD16(
+  uint32_t x,
+  uint32_t y)
+  {
+/*  q31_t r,     s;  without initialisation 'arm_offset_q15 test' fails  but 'intrinsic' tests pass! for armCC */
+    q31_t r = 0, s = 0;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) + (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SHADD16
+   */
+  __STATIC_FORCEINLINE uint32_t __SHADD16(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = (((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) + (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QSUB16
+   */
+  __STATIC_FORCEINLINE uint32_t __QSUB16(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) - (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SHSUB16
+   */
+  __STATIC_FORCEINLINE uint32_t __SHSUB16(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = (((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) - (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QASX
+   */
+  __STATIC_FORCEINLINE uint32_t __QASX(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SHASX
+   */
+  __STATIC_FORCEINLINE uint32_t __SHASX(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = (((((q31_t)x << 16) >> 16) - (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined QSAX
+   */
+  __STATIC_FORCEINLINE uint32_t __QSAX(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y      ) >> 16)), 16) & (int32_t)0x0000FFFF;
+    s = __SSAT(((((q31_t)x      ) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SHSAX
+   */
+  __STATIC_FORCEINLINE uint32_t __SHSAX(
+  uint32_t x,
+  uint32_t y)
+  {
+    q31_t r, s;
+
+    r = (((((q31_t)x << 16) >> 16) + (((q31_t)y      ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+    s = (((((q31_t)x      ) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+    return ((uint32_t)((s << 16) | (r      )));
+  }
+
+
+  /*
+   * @brief C custom defined SMUSDX
+   */
+  __STATIC_FORCEINLINE uint32_t __SMUSDX(
+  uint32_t x,
+  uint32_t y)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) -
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16))   ));
+  }
+
+  /*
+   * @brief C custom defined SMUADX
+   */
+  __STATIC_FORCEINLINE uint32_t __SMUADX(
+  uint32_t x,
+  uint32_t y)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16))   ));
+  }
+
+
+  /*
+   * @brief C custom defined QADD
+   */
+  __STATIC_FORCEINLINE int32_t __QADD(
+  int32_t x,
+  int32_t y)
+  {
+    return ((int32_t)(clip_q63_to_q31((q63_t)x + (q31_t)y)));
+  }
+
+
+  /*
+   * @brief C custom defined QSUB
+   */
+  __STATIC_FORCEINLINE int32_t __QSUB(
+  int32_t x,
+  int32_t y)
+  {
+    return ((int32_t)(clip_q63_to_q31((q63_t)x - (q31_t)y)));
+  }
+
+
+  /*
+   * @brief C custom defined SMLAD
+   */
+  __STATIC_FORCEINLINE uint32_t __SMLAD(
+  uint32_t x,
+  uint32_t y,
+  uint32_t sum)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ( ((q31_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMLADX
+   */
+  __STATIC_FORCEINLINE uint32_t __SMLADX(
+  uint32_t x,
+  uint32_t y,
+  uint32_t sum)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ( ((q31_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMLSDX
+   */
+  __STATIC_FORCEINLINE uint32_t __SMLSDX(
+  uint32_t x,
+  uint32_t y,
+  uint32_t sum)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) -
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ( ((q31_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMLALD
+   */
+  __STATIC_FORCEINLINE uint64_t __SMLALD(
+  uint32_t x,
+  uint32_t y,
+  uint64_t sum)
+  {
+/*  return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y)); */
+    return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ( ((q63_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMLALDX
+   */
+  __STATIC_FORCEINLINE uint64_t __SMLALDX(
+  uint32_t x,
+  uint32_t y,
+  uint64_t sum)
+  {
+/*  return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + ((q15_t) x * (q15_t) (y >> 16)); */
+    return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y      ) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ( ((q63_t)sum    )                                  )   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMUAD
+   */
+  __STATIC_FORCEINLINE uint32_t __SMUAD(
+  uint32_t x,
+  uint32_t y)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16))   ));
+  }
+
+
+  /*
+   * @brief C custom defined SMUSD
+   */
+  __STATIC_FORCEINLINE uint32_t __SMUSD(
+  uint32_t x,
+  uint32_t y)
+  {
+    return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) -
+                       ((((q31_t)x      ) >> 16) * (((q31_t)y      ) >> 16))   ));
+  }
+
+
+  /*
+   * @brief C custom defined SXTB16
+   */
+  __STATIC_FORCEINLINE uint32_t __SXTB16(
+  uint32_t x)
+  {
+    return ((uint32_t)(((((q31_t)x << 24) >> 24) & (q31_t)0x0000FFFF) |
+                       ((((q31_t)x <<  8) >>  8) & (q31_t)0xFFFF0000)  ));
+  }
+
+  /*
+   * @brief C custom defined SMMLA
+   */
+  __STATIC_FORCEINLINE int32_t __SMMLA(
+  int32_t x,
+  int32_t y,
+  int32_t sum)
+  {
+    return (sum + (int32_t) (((int64_t) x * y) >> 32));
+  }
+
+#endif /* !defined (ARM_MATH_DSP) */
+
+
+  /**
+   * @brief Instance structure for the Q7 FIR filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;        /**< number of filter coefficients in the filter. */
+          q7_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    const q7_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/
+  } arm_fir_instance_q7;
+
+  /**
+   * @brief Instance structure for the Q15 FIR filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;         /**< number of filter coefficients in the filter. */
+          q15_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    const q15_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/
+  } arm_fir_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 FIR filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;         /**< number of filter coefficients in the filter. */
+          q31_t *pState;            /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    const q31_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps. */
+  } arm_fir_instance_q31;
+
+  /**
+   * @brief Instance structure for the floating-point FIR filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;     /**< number of filter coefficients in the filter. */
+          float32_t *pState;    /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+    const float32_t *pCoeffs;   /**< points to the coefficient array. The array is of length numTaps. */
+  } arm_fir_instance_f32;
+
+  /**
+   * @brief Processing function for the Q7 FIR filter.
+   * @param[in]  S          points to an instance of the Q7 FIR filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_q7(
+  const arm_fir_instance_q7 * S,
+  const q7_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief  Initialization function for the Q7 FIR filter.
+   * @param[in,out] S          points to an instance of the Q7 FIR structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed.
+   */
+  void arm_fir_init_q7(
+        arm_fir_instance_q7 * S,
+        uint16_t numTaps,
+  const q7_t * pCoeffs,
+        q7_t * pState,
+        uint32_t blockSize);
+
+  /**
+   * @brief Processing function for the Q15 FIR filter.
+   * @param[in]  S          points to an instance of the Q15 FIR structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_q15(
+  const arm_fir_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief Processing function for the fast Q15 FIR filter (fast version).
+   * @param[in]  S          points to an instance of the Q15 FIR filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_fast_q15(
+  const arm_fir_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief  Initialization function for the Q15 FIR filter.
+   * @param[in,out] S          points to an instance of the Q15 FIR filter structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter. Must be even and greater than or equal to 4.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed at a time.
+   * @return     The function returns either
+   * <code>ARM_MATH_SUCCESS</code> if initialization was successful or
+   * <code>ARM_MATH_ARGUMENT_ERROR</code> if <code>numTaps</code> is not a supported value.
+   */
+  arm_status arm_fir_init_q15(
+        arm_fir_instance_q15 * S,
+        uint16_t numTaps,
+  const q15_t * pCoeffs,
+        q15_t * pState,
+        uint32_t blockSize);
+
+  /**
+   * @brief Processing function for the Q31 FIR filter.
+   * @param[in]  S          points to an instance of the Q31 FIR filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_q31(
+  const arm_fir_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief Processing function for the fast Q31 FIR filter (fast version).
+   * @param[in]  S          points to an instance of the Q31 FIR filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_fast_q31(
+  const arm_fir_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief  Initialization function for the Q31 FIR filter.
+   * @param[in,out] S          points to an instance of the Q31 FIR structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed at a time.
+   */
+  void arm_fir_init_q31(
+        arm_fir_instance_q31 * S,
+        uint16_t numTaps,
+  const q31_t * pCoeffs,
+        q31_t * pState,
+        uint32_t blockSize);
+
+  /**
+   * @brief Processing function for the floating-point FIR filter.
+   * @param[in]  S          points to an instance of the floating-point FIR structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_f32(
+  const arm_fir_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief  Initialization function for the floating-point FIR filter.
+   * @param[in,out] S          points to an instance of the floating-point FIR filter structure.
+   * @param[in]     numTaps    Number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of samples that are processed at a time.
+   */
+  void arm_fir_init_f32(
+        arm_fir_instance_f32 * S,
+        uint16_t numTaps,
+  const float32_t * pCoeffs,
+        float32_t * pState,
+        uint32_t blockSize);
+
+  /**
+   * @brief Instance structure for the Q15 Biquad cascade filter.
+   */
+  typedef struct
+  {
+          int8_t numStages;        /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+          q15_t *pState;           /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
+    const q15_t *pCoeffs;          /**< Points to the array of coefficients.  The array is of length 5*numStages. */
+          int8_t postShift;        /**< Additional shift, in bits, applied to each output sample. */
+  } arm_biquad_casd_df1_inst_q15;
+
+  /**
+   * @brief Instance structure for the Q31 Biquad cascade filter.
+   */
+  typedef struct
+  {
+          uint32_t numStages;      /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+          q31_t *pState;           /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
+    const q31_t *pCoeffs;          /**< Points to the array of coefficients.  The array is of length 5*numStages. */
+          uint8_t postShift;       /**< Additional shift, in bits, applied to each output sample. */
+  } arm_biquad_casd_df1_inst_q31;
+
+  /**
+   * @brief Instance structure for the floating-point Biquad cascade filter.
+   */
+  typedef struct
+  {
+          uint32_t numStages;      /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+          float32_t *pState;       /**< Points to the array of state coefficients.  The array is of length 4*numStages. */
+    const float32_t *pCoeffs;      /**< Points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_casd_df1_inst_f32;
+
+  /**
+   * @brief Processing function for the Q15 Biquad cascade filter.
+   * @param[in]  S          points to an instance of the Q15 Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df1_q15(
+  const arm_biquad_casd_df1_inst_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief  Initialization function for the Q15 Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the Q15 Biquad cascade structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     postShift  Shift to be applied to the output. Varies according to the coefficients format
+   */
+  void arm_biquad_cascade_df1_init_q15(
+        arm_biquad_casd_df1_inst_q15 * S,
+        uint8_t numStages,
+  const q15_t * pCoeffs,
+        q15_t * pState,
+        int8_t postShift);
+
+  /**
+   * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4.
+   * @param[in]  S          points to an instance of the Q15 Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df1_fast_q15(
+  const arm_biquad_casd_df1_inst_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief Processing function for the Q31 Biquad cascade filter
+   * @param[in]  S          points to an instance of the Q31 Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df1_q31(
+  const arm_biquad_casd_df1_inst_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4.
+   * @param[in]  S          points to an instance of the Q31 Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df1_fast_q31(
+  const arm_biquad_casd_df1_inst_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief  Initialization function for the Q31 Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the Q31 Biquad cascade structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     postShift  Shift to be applied to the output. Varies according to the coefficients format
+   */
+  void arm_biquad_cascade_df1_init_q31(
+        arm_biquad_casd_df1_inst_q31 * S,
+        uint8_t numStages,
+  const q31_t * pCoeffs,
+        q31_t * pState,
+        int8_t postShift);
+
+  /**
+   * @brief Processing function for the floating-point Biquad cascade filter.
+   * @param[in]  S          points to an instance of the floating-point Biquad cascade structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df1_f32(
+  const arm_biquad_casd_df1_inst_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief  Initialization function for the floating-point Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the floating-point Biquad cascade structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
+  void arm_biquad_cascade_df1_init_f32(
+        arm_biquad_casd_df1_inst_f32 * S,
+        uint8_t numStages,
+  const float32_t * pCoeffs,
+        float32_t * pState);
+
+  /**
+   * @brief Instance structure for the floating-point matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    float32_t *pData;     /**< points to the data of the matrix. */
+  } arm_matrix_instance_f32;
+
+
+  /**
+   * @brief Instance structure for the floating-point matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    float64_t *pData;     /**< points to the data of the matrix. */
+  } arm_matrix_instance_f64;
+
+  /**
+   * @brief Instance structure for the Q15 matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    q15_t *pData;         /**< points to the data of the matrix. */
+  } arm_matrix_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 matrix structure.
+   */
+  typedef struct
+  {
+    uint16_t numRows;     /**< number of rows of the matrix.     */
+    uint16_t numCols;     /**< number of columns of the matrix.  */
+    q31_t *pData;         /**< points to the data of the matrix. */
+  } arm_matrix_instance_q31;
+
+  /**
+   * @brief Floating-point matrix addition.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_add_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+        arm_matrix_instance_f32 * pDst);
+
+  /**
+   * @brief Q15 matrix addition.
+   * @param[in]   pSrcA  points to the first input matrix structure
+   * @param[in]   pSrcB  points to the second input matrix structure
+   * @param[out]  pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_add_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst);
+
+  /**
+   * @brief Q31 matrix addition.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_add_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Floating-point, complex, matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_cmplx_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+        arm_matrix_instance_f32 * pDst);
+
+  /**
+   * @brief Q15, complex,  matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_cmplx_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst,
+        q15_t * pScratch);
+
+  /**
+   * @brief Q31, complex, matrix multiplication.
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_cmplx_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Floating-point matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_trans_f32(
+  const arm_matrix_instance_f32 * pSrc,
+        arm_matrix_instance_f32 * pDst);
+
+  /**
+   * @brief Q15 matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_trans_q15(
+  const arm_matrix_instance_q15 * pSrc,
+        arm_matrix_instance_q15 * pDst);
+
+  /**
+   * @brief Q31 matrix transpose.
+   * @param[in]  pSrc  points to the input matrix
+   * @param[out] pDst  points to the output matrix
+   * @return    The function returns either  <code>ARM_MATH_SIZE_MISMATCH</code>
+   * or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_trans_q31(
+  const arm_matrix_instance_q31 * pSrc,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Floating-point matrix multiplication
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+        arm_matrix_instance_f32 * pDst);
+
+  /**
+   * @brief Q15 matrix multiplication
+   * @param[in]  pSrcA   points to the first input matrix structure
+   * @param[in]  pSrcB   points to the second input matrix structure
+   * @param[out] pDst    points to output matrix structure
+   * @param[in]  pState  points to the array for storing intermediate results
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst,
+        q15_t * pState);
+
+  /**
+   * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA   points to the first input matrix structure
+   * @param[in]  pSrcB   points to the second input matrix structure
+   * @param[out] pDst    points to output matrix structure
+   * @param[in]  pState  points to the array for storing intermediate results
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_fast_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst,
+        q15_t * pState);
+
+  /**
+   * @brief Q31 matrix multiplication
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_mult_fast_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Floating-point matrix subtraction
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_sub_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+        arm_matrix_instance_f32 * pDst);
+
+  /**
+   * @brief Q15 matrix subtraction
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_sub_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst);
+
+  /**
+   * @brief Q31 matrix subtraction
+   * @param[in]  pSrcA  points to the first input matrix structure
+   * @param[in]  pSrcB  points to the second input matrix structure
+   * @param[out] pDst   points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_sub_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief Floating-point matrix scaling.
+   * @param[in]  pSrc   points to the input matrix
+   * @param[in]  scale  scale factor
+   * @param[out] pDst   points to the output matrix
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_scale_f32(
+  const arm_matrix_instance_f32 * pSrc,
+        float32_t scale,
+        arm_matrix_instance_f32 * pDst);
+
+  /**
+   * @brief Q15 matrix scaling.
+   * @param[in]  pSrc        points to input matrix
+   * @param[in]  scaleFract  fractional portion of the scale factor
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to output matrix
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_scale_q15(
+  const arm_matrix_instance_q15 * pSrc,
+        q15_t scaleFract,
+        int32_t shift,
+        arm_matrix_instance_q15 * pDst);
+
+  /**
+   * @brief Q31 matrix scaling.
+   * @param[in]  pSrc        points to input matrix
+   * @param[in]  scaleFract  fractional portion of the scale factor
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to output matrix structure
+   * @return     The function returns either
+   * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+   */
+arm_status arm_mat_scale_q31(
+  const arm_matrix_instance_q31 * pSrc,
+        q31_t scaleFract,
+        int32_t shift,
+        arm_matrix_instance_q31 * pDst);
+
+  /**
+   * @brief  Q31 matrix initialization.
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
+void arm_mat_init_q31(
+        arm_matrix_instance_q31 * S,
+        uint16_t nRows,
+        uint16_t nColumns,
+        q31_t * pData);
+
+  /**
+   * @brief  Q15 matrix initialization.
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
+void arm_mat_init_q15(
+        arm_matrix_instance_q15 * S,
+        uint16_t nRows,
+        uint16_t nColumns,
+        q15_t * pData);
+
+  /**
+   * @brief  Floating-point matrix initialization.
+   * @param[in,out] S         points to an instance of the floating-point matrix structure.
+   * @param[in]     nRows     number of rows in the matrix.
+   * @param[in]     nColumns  number of columns in the matrix.
+   * @param[in]     pData     points to the matrix data array.
+   */
+void arm_mat_init_f32(
+        arm_matrix_instance_f32 * S,
+        uint16_t nRows,
+        uint16_t nColumns,
+        float32_t * pData);
+
+
+  /**
+   * @brief Instance structure for the Q15 PID Control.
+   */
+  typedef struct
+  {
+          q15_t A0;           /**< The derived gain, A0 = Kp + Ki + Kd . */
+#if !defined (ARM_MATH_DSP)
+          q15_t A1;
+          q15_t A2;
+#else
+          q31_t A1;           /**< The derived gain A1 = -Kp - 2Kd | Kd.*/
+#endif
+          q15_t state[3];     /**< The state array of length 3. */
+          q15_t Kp;           /**< The proportional gain. */
+          q15_t Ki;           /**< The integral gain. */
+          q15_t Kd;           /**< The derivative gain. */
+  } arm_pid_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 PID Control.
+   */
+  typedef struct
+  {
+          q31_t A0;            /**< The derived gain, A0 = Kp + Ki + Kd . */
+          q31_t A1;            /**< The derived gain, A1 = -Kp - 2Kd. */
+          q31_t A2;            /**< The derived gain, A2 = Kd . */
+          q31_t state[3];      /**< The state array of length 3. */
+          q31_t Kp;            /**< The proportional gain. */
+          q31_t Ki;            /**< The integral gain. */
+          q31_t Kd;            /**< The derivative gain. */
+  } arm_pid_instance_q31;
+
+  /**
+   * @brief Instance structure for the floating-point PID Control.
+   */
+  typedef struct
+  {
+          float32_t A0;          /**< The derived gain, A0 = Kp + Ki + Kd . */
+          float32_t A1;          /**< The derived gain, A1 = -Kp - 2Kd. */
+          float32_t A2;          /**< The derived gain, A2 = Kd . */
+          float32_t state[3];    /**< The state array of length 3. */
+          float32_t Kp;          /**< The proportional gain. */
+          float32_t Ki;          /**< The integral gain. */
+          float32_t Kd;          /**< The derivative gain. */
+  } arm_pid_instance_f32;
+
+
+
+  /**
+   * @brief  Initialization function for the floating-point PID Control.
+   * @param[in,out] S               points to an instance of the PID structure.
+   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
+   */
+  void arm_pid_init_f32(
+        arm_pid_instance_f32 * S,
+        int32_t resetStateFlag);
+
+
+  /**
+   * @brief  Reset function for the floating-point PID Control.
+   * @param[in,out] S  is an instance of the floating-point PID Control structure
+   */
+  void arm_pid_reset_f32(
+        arm_pid_instance_f32 * S);
+
+
+  /**
+   * @brief  Initialization function for the Q31 PID Control.
+   * @param[in,out] S               points to an instance of the Q15 PID structure.
+   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
+   */
+  void arm_pid_init_q31(
+        arm_pid_instance_q31 * S,
+        int32_t resetStateFlag);
+
+
+  /**
+   * @brief  Reset function for the Q31 PID Control.
+   * @param[in,out] S   points to an instance of the Q31 PID Control structure
+   */
+
+  void arm_pid_reset_q31(
+        arm_pid_instance_q31 * S);
+
+
+  /**
+   * @brief  Initialization function for the Q15 PID Control.
+   * @param[in,out] S               points to an instance of the Q15 PID structure.
+   * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
+   */
+  void arm_pid_init_q15(
+        arm_pid_instance_q15 * S,
+        int32_t resetStateFlag);
+
+
+  /**
+   * @brief  Reset function for the Q15 PID Control.
+   * @param[in,out] S  points to an instance of the q15 PID Control structure
+   */
+  void arm_pid_reset_q15(
+        arm_pid_instance_q15 * S);
+
+
+  /**
+   * @brief Instance structure for the floating-point Linear Interpolate function.
+   */
+  typedef struct
+  {
+          uint32_t nValues;           /**< nValues */
+          float32_t x1;               /**< x1 */
+          float32_t xSpacing;         /**< xSpacing */
+          float32_t *pYData;          /**< pointer to the table of Y values */
+  } arm_linear_interp_instance_f32;
+
+  /**
+   * @brief Instance structure for the floating-point bilinear interpolation function.
+   */
+  typedef struct
+  {
+          uint16_t numRows;   /**< number of rows in the data table. */
+          uint16_t numCols;   /**< number of columns in the data table. */
+          float32_t *pData;   /**< points to the data table. */
+  } arm_bilinear_interp_instance_f32;
+
+   /**
+   * @brief Instance structure for the Q31 bilinear interpolation function.
+   */
+  typedef struct
+  {
+          uint16_t numRows;   /**< number of rows in the data table. */
+          uint16_t numCols;   /**< number of columns in the data table. */
+          q31_t *pData;       /**< points to the data table. */
+  } arm_bilinear_interp_instance_q31;
+
+   /**
+   * @brief Instance structure for the Q15 bilinear interpolation function.
+   */
+  typedef struct
+  {
+          uint16_t numRows;   /**< number of rows in the data table. */
+          uint16_t numCols;   /**< number of columns in the data table. */
+          q15_t *pData;       /**< points to the data table. */
+  } arm_bilinear_interp_instance_q15;
+
+   /**
+   * @brief Instance structure for the Q15 bilinear interpolation function.
+   */
+  typedef struct
+  {
+          uint16_t numRows;   /**< number of rows in the data table. */
+          uint16_t numCols;   /**< number of columns in the data table. */
+          q7_t *pData;        /**< points to the data table. */
+  } arm_bilinear_interp_instance_q7;
+
+
+  /**
+   * @brief Q7 vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q15 vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q31 vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Floating-point vector multiplication.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_mult_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q15 CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                 /**< length of the FFT. */
+          uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const q15_t *pTwiddle;                 /**< points to the Sin twiddle factor table. */
+    const uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+  } arm_cfft_radix2_instance_q15;
+
+/* Deprecated */
+  arm_status arm_cfft_radix2_init_q15(
+        arm_cfft_radix2_instance_q15 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix2_q15(
+  const arm_cfft_radix2_instance_q15 * S,
+        q15_t * pSrc);
+
+
+  /**
+   * @brief Instance structure for the Q15 CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                 /**< length of the FFT. */
+          uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const q15_t *pTwiddle;                 /**< points to the twiddle factor table. */
+    const uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+  } arm_cfft_radix4_instance_q15;
+
+/* Deprecated */
+  arm_status arm_cfft_radix4_init_q15(
+        arm_cfft_radix4_instance_q15 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix4_q15(
+  const arm_cfft_radix4_instance_q15 * S,
+        q15_t * pSrc);
+
+  /**
+   * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                 /**< length of the FFT. */
+          uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const q31_t *pTwiddle;                 /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+  } arm_cfft_radix2_instance_q31;
+
+/* Deprecated */
+  arm_status arm_cfft_radix2_init_q31(
+        arm_cfft_radix2_instance_q31 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix2_q31(
+  const arm_cfft_radix2_instance_q31 * S,
+        q31_t * pSrc);
+
+  /**
+   * @brief Instance structure for the Q31 CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                 /**< length of the FFT. */
+          uint8_t ifftFlag;                /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;          /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const q31_t *pTwiddle;                 /**< points to the twiddle factor table. */
+    const uint16_t *pBitRevTable;          /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;       /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;           /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+  } arm_cfft_radix4_instance_q31;
+
+/* Deprecated */
+  void arm_cfft_radix4_q31(
+  const arm_cfft_radix4_instance_q31 * S,
+        q31_t * pSrc);
+
+/* Deprecated */
+  arm_status arm_cfft_radix4_init_q31(
+        arm_cfft_radix4_instance_q31 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+          uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const float32_t *pTwiddle;               /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+          float32_t onebyfftLen;             /**< value of 1/fftLen. */
+  } arm_cfft_radix2_instance_f32;
+
+/* Deprecated */
+  arm_status arm_cfft_radix2_init_f32(
+        arm_cfft_radix2_instance_f32 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix2_f32(
+  const arm_cfft_radix2_instance_f32 * S,
+        float32_t * pSrc);
+
+  /**
+   * @brief Instance structure for the floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+          uint8_t ifftFlag;                  /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+          uint8_t bitReverseFlag;            /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+    const float32_t *pTwiddle;               /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;            /**< points to the bit reversal table. */
+          uint16_t twidCoefModifier;         /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+          uint16_t bitRevFactor;             /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+          float32_t onebyfftLen;             /**< value of 1/fftLen. */
+  } arm_cfft_radix4_instance_f32;
+
+/* Deprecated */
+  arm_status arm_cfft_radix4_init_f32(
+        arm_cfft_radix4_instance_f32 * S,
+        uint16_t fftLen,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+/* Deprecated */
+  void arm_cfft_radix4_f32(
+  const arm_cfft_radix4_instance_f32 * S,
+        float32_t * pSrc);
+
+  /**
+   * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+    const q15_t *pTwiddle;             /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+          uint16_t bitRevLength;             /**< bit reversal table length. */
+  } arm_cfft_instance_q15;
+
+void arm_cfft_q15(
+    const arm_cfft_instance_q15 * S,
+          q15_t * p1,
+          uint8_t ifftFlag,
+          uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+    const q31_t *pTwiddle;             /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+          uint16_t bitRevLength;             /**< bit reversal table length. */
+  } arm_cfft_instance_q31;
+
+void arm_cfft_q31(
+    const arm_cfft_instance_q31 * S,
+          q31_t * p1,
+          uint8_t ifftFlag,
+          uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the floating-point CFFT/CIFFT function.
+   */
+  typedef struct
+  {
+          uint16_t fftLen;                   /**< length of the FFT. */
+    const float32_t *pTwiddle;         /**< points to the Twiddle factor table. */
+    const uint16_t *pBitRevTable;      /**< points to the bit reversal table. */
+          uint16_t bitRevLength;             /**< bit reversal table length. */
+  } arm_cfft_instance_f32;
+
+  void arm_cfft_f32(
+  const arm_cfft_instance_f32 * S,
+        float32_t * p1,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag);
+
+  /**
+   * @brief Instance structure for the Q15 RFFT/RIFFT function.
+   */
+  typedef struct
+  {
+          uint32_t fftLenReal;                      /**< length of the real FFT. */
+          uint8_t ifftFlagR;                        /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+          uint8_t bitReverseFlagR;                  /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+          uint32_t twidCoefRModifier;               /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    const q15_t *pTwiddleAReal;                     /**< points to the real twiddle factor table. */
+    const q15_t *pTwiddleBReal;                     /**< points to the imag twiddle factor table. */
+    const arm_cfft_instance_q15 *pCfft;       /**< points to the complex FFT instance. */
+  } arm_rfft_instance_q15;
+
+  arm_status arm_rfft_init_q15(
+        arm_rfft_instance_q15 * S,
+        uint32_t fftLenReal,
+        uint32_t ifftFlagR,
+        uint32_t bitReverseFlag);
+
+  void arm_rfft_q15(
+  const arm_rfft_instance_q15 * S,
+        q15_t * pSrc,
+        q15_t * pDst);
+
+  /**
+   * @brief Instance structure for the Q31 RFFT/RIFFT function.
+   */
+  typedef struct
+  {
+          uint32_t fftLenReal;                        /**< length of the real FFT. */
+          uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+          uint8_t bitReverseFlagR;                    /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+          uint32_t twidCoefRModifier;                 /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    const q31_t *pTwiddleAReal;                       /**< points to the real twiddle factor table. */
+    const q31_t *pTwiddleBReal;                       /**< points to the imag twiddle factor table. */
+    const arm_cfft_instance_q31 *pCfft;         /**< points to the complex FFT instance. */
+  } arm_rfft_instance_q31;
+
+  arm_status arm_rfft_init_q31(
+        arm_rfft_instance_q31 * S,
+        uint32_t fftLenReal,
+        uint32_t ifftFlagR,
+        uint32_t bitReverseFlag);
+
+  void arm_rfft_q31(
+  const arm_rfft_instance_q31 * S,
+        q31_t * pSrc,
+        q31_t * pDst);
+
+  /**
+   * @brief Instance structure for the floating-point RFFT/RIFFT function.
+   */
+  typedef struct
+  {
+          uint32_t fftLenReal;                        /**< length of the real FFT. */
+          uint16_t fftLenBy2;                         /**< length of the complex FFT. */
+          uint8_t ifftFlagR;                          /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+          uint8_t bitReverseFlagR;                    /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+          uint32_t twidCoefRModifier;                     /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+    const float32_t *pTwiddleAReal;                   /**< points to the real twiddle factor table. */
+    const float32_t *pTwiddleBReal;                   /**< points to the imag twiddle factor table. */
+          arm_cfft_radix4_instance_f32 *pCfft;        /**< points to the complex FFT instance. */
+  } arm_rfft_instance_f32;
+
+  arm_status arm_rfft_init_f32(
+        arm_rfft_instance_f32 * S,
+        arm_cfft_radix4_instance_f32 * S_CFFT,
+        uint32_t fftLenReal,
+        uint32_t ifftFlagR,
+        uint32_t bitReverseFlag);
+
+  void arm_rfft_f32(
+  const arm_rfft_instance_f32 * S,
+        float32_t * pSrc,
+        float32_t * pDst);
+
+  /**
+   * @brief Instance structure for the floating-point RFFT/RIFFT function.
+   */
+typedef struct
+  {
+          arm_cfft_instance_f32 Sint;      /**< Internal CFFT structure. */
+          uint16_t fftLenRFFT;             /**< length of the real sequence */
+    const float32_t * pTwiddleRFFT;        /**< Twiddle factors real stage  */
+  } arm_rfft_fast_instance_f32 ;
+
+arm_status arm_rfft_fast_init_f32 (
+         arm_rfft_fast_instance_f32 * S,
+         uint16_t fftLen);
+
+arm_status arm_rfft_32_fast_init_f32 ( arm_rfft_fast_instance_f32 * S );
+
+arm_status arm_rfft_64_fast_init_f32 ( arm_rfft_fast_instance_f32 * S );
+
+arm_status arm_rfft_128_fast_init_f32 ( arm_rfft_fast_instance_f32 * S );
+
+arm_status arm_rfft_256_fast_init_f32 ( arm_rfft_fast_instance_f32 * S );
+
+arm_status arm_rfft_512_fast_init_f32 ( arm_rfft_fast_instance_f32 * S );
+
+arm_status arm_rfft_1024_fast_init_f32 ( arm_rfft_fast_instance_f32 * S );
+
+arm_status arm_rfft_2048_fast_init_f32 ( arm_rfft_fast_instance_f32 * S );
+
+arm_status arm_rfft_4096_fast_init_f32 ( arm_rfft_fast_instance_f32 * S );
+
+
+  void arm_rfft_fast_f32(
+        arm_rfft_fast_instance_f32 * S,
+        float32_t * p, float32_t * pOut,
+        uint8_t ifftFlag);
+
+  /**
+   * @brief Instance structure for the floating-point DCT4/IDCT4 function.
+   */
+  typedef struct
+  {
+          uint16_t N;                          /**< length of the DCT4. */
+          uint16_t Nby2;                       /**< half of the length of the DCT4. */
+          float32_t normalize;                 /**< normalizing factor. */
+    const float32_t *pTwiddle;                 /**< points to the twiddle factor table. */
+    const float32_t *pCosFactor;               /**< points to the cosFactor table. */
+          arm_rfft_instance_f32 *pRfft;        /**< points to the real FFT instance. */
+          arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */
+  } arm_dct4_instance_f32;
+
+
+  /**
+   * @brief  Initialization function for the floating-point DCT4/IDCT4.
+   * @param[in,out] S          points to an instance of floating-point DCT4/IDCT4 structure.
+   * @param[in]     S_RFFT     points to an instance of floating-point RFFT/RIFFT structure.
+   * @param[in]     S_CFFT     points to an instance of floating-point CFFT/CIFFT structure.
+   * @param[in]     N          length of the DCT4.
+   * @param[in]     Nby2       half of the length of the DCT4.
+   * @param[in]     normalize  normalizing factor.
+   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>fftLenReal</code> is not a supported transform length.
+   */
+  arm_status arm_dct4_init_f32(
+        arm_dct4_instance_f32 * S,
+        arm_rfft_instance_f32 * S_RFFT,
+        arm_cfft_radix4_instance_f32 * S_CFFT,
+        uint16_t N,
+        uint16_t Nby2,
+        float32_t normalize);
+
+
+  /**
+   * @brief Processing function for the floating-point DCT4/IDCT4.
+   * @param[in]     S              points to an instance of the floating-point DCT4/IDCT4 structure.
+   * @param[in]     pState         points to state buffer.
+   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.
+   */
+  void arm_dct4_f32(
+  const arm_dct4_instance_f32 * S,
+        float32_t * pState,
+        float32_t * pInlineBuffer);
+
+
+  /**
+   * @brief Instance structure for the Q31 DCT4/IDCT4 function.
+   */
+  typedef struct
+  {
+          uint16_t N;                          /**< length of the DCT4. */
+          uint16_t Nby2;                       /**< half of the length of the DCT4. */
+          q31_t normalize;                     /**< normalizing factor. */
+    const q31_t *pTwiddle;                     /**< points to the twiddle factor table. */
+    const q31_t *pCosFactor;                   /**< points to the cosFactor table. */
+          arm_rfft_instance_q31 *pRfft;        /**< points to the real FFT instance. */
+          arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */
+  } arm_dct4_instance_q31;
+
+
+  /**
+   * @brief  Initialization function for the Q31 DCT4/IDCT4.
+   * @param[in,out] S          points to an instance of Q31 DCT4/IDCT4 structure.
+   * @param[in]     S_RFFT     points to an instance of Q31 RFFT/RIFFT structure
+   * @param[in]     S_CFFT     points to an instance of Q31 CFFT/CIFFT structure
+   * @param[in]     N          length of the DCT4.
+   * @param[in]     Nby2       half of the length of the DCT4.
+   * @param[in]     normalize  normalizing factor.
+   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.
+   */
+  arm_status arm_dct4_init_q31(
+        arm_dct4_instance_q31 * S,
+        arm_rfft_instance_q31 * S_RFFT,
+        arm_cfft_radix4_instance_q31 * S_CFFT,
+        uint16_t N,
+        uint16_t Nby2,
+        q31_t normalize);
+
+
+  /**
+   * @brief Processing function for the Q31 DCT4/IDCT4.
+   * @param[in]     S              points to an instance of the Q31 DCT4 structure.
+   * @param[in]     pState         points to state buffer.
+   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.
+   */
+  void arm_dct4_q31(
+  const arm_dct4_instance_q31 * S,
+        q31_t * pState,
+        q31_t * pInlineBuffer);
+
+
+  /**
+   * @brief Instance structure for the Q15 DCT4/IDCT4 function.
+   */
+  typedef struct
+  {
+          uint16_t N;                          /**< length of the DCT4. */
+          uint16_t Nby2;                       /**< half of the length of the DCT4. */
+          q15_t normalize;                     /**< normalizing factor. */
+    const q15_t *pTwiddle;                     /**< points to the twiddle factor table. */
+    const q15_t *pCosFactor;                   /**< points to the cosFactor table. */
+          arm_rfft_instance_q15 *pRfft;        /**< points to the real FFT instance. */
+          arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */
+  } arm_dct4_instance_q15;
+
+
+  /**
+   * @brief  Initialization function for the Q15 DCT4/IDCT4.
+   * @param[in,out] S          points to an instance of Q15 DCT4/IDCT4 structure.
+   * @param[in]     S_RFFT     points to an instance of Q15 RFFT/RIFFT structure.
+   * @param[in]     S_CFFT     points to an instance of Q15 CFFT/CIFFT structure.
+   * @param[in]     N          length of the DCT4.
+   * @param[in]     Nby2       half of the length of the DCT4.
+   * @param[in]     normalize  normalizing factor.
+   * @return      arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if <code>N</code> is not a supported transform length.
+   */
+  arm_status arm_dct4_init_q15(
+        arm_dct4_instance_q15 * S,
+        arm_rfft_instance_q15 * S_RFFT,
+        arm_cfft_radix4_instance_q15 * S_CFFT,
+        uint16_t N,
+        uint16_t Nby2,
+        q15_t normalize);
+
+
+  /**
+   * @brief Processing function for the Q15 DCT4/IDCT4.
+   * @param[in]     S              points to an instance of the Q15 DCT4 structure.
+   * @param[in]     pState         points to state buffer.
+   * @param[in,out] pInlineBuffer  points to the in-place input and output buffer.
+   */
+  void arm_dct4_q15(
+  const arm_dct4_instance_q15 * S,
+        q15_t * pState,
+        q15_t * pInlineBuffer);
+
+
+  /**
+   * @brief Floating-point vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q7 vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q15 vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q31 vector addition.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_add_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Floating-point vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q7 vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q15 vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q31 vector subtraction.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_sub_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Multiplies a floating-point vector by a scalar.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  scale      scale factor to be applied
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_scale_f32(
+  const float32_t * pSrc,
+        float32_t scale,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Multiplies a Q7 vector by a scalar.
+   * @param[in]  pSrc        points to the input vector
+   * @param[in]  scaleFract  fractional portion of the scale value
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to the output vector
+   * @param[in]  blockSize   number of samples in the vector
+   */
+  void arm_scale_q7(
+  const q7_t * pSrc,
+        q7_t scaleFract,
+        int8_t shift,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Multiplies a Q15 vector by a scalar.
+   * @param[in]  pSrc        points to the input vector
+   * @param[in]  scaleFract  fractional portion of the scale value
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to the output vector
+   * @param[in]  blockSize   number of samples in the vector
+   */
+  void arm_scale_q15(
+  const q15_t * pSrc,
+        q15_t scaleFract,
+        int8_t shift,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Multiplies a Q31 vector by a scalar.
+   * @param[in]  pSrc        points to the input vector
+   * @param[in]  scaleFract  fractional portion of the scale value
+   * @param[in]  shift       number of bits to shift the result by
+   * @param[out] pDst        points to the output vector
+   * @param[in]  blockSize   number of samples in the vector
+   */
+  void arm_scale_q31(
+  const q31_t * pSrc,
+        q31_t scaleFract,
+        int8_t shift,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q7 vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_q7(
+  const q7_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Floating-point vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q15 vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Q31 vector absolute value.
+   * @param[in]  pSrc       points to the input buffer
+   * @param[out] pDst       points to the output buffer
+   * @param[in]  blockSize  number of samples in each vector
+   */
+  void arm_abs_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Dot product of floating-point vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        uint32_t blockSize,
+        float32_t * result);
+
+
+  /**
+   * @brief Dot product of Q7 vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        uint32_t blockSize,
+        q31_t * result);
+
+
+  /**
+   * @brief Dot product of Q15 vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        uint32_t blockSize,
+        q63_t * result);
+
+
+  /**
+   * @brief Dot product of Q31 vectors.
+   * @param[in]  pSrcA      points to the first input vector
+   * @param[in]  pSrcB      points to the second input vector
+   * @param[in]  blockSize  number of samples in each vector
+   * @param[out] result     output result returned here
+   */
+  void arm_dot_prod_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        uint32_t blockSize,
+        q63_t * result);
+
+
+  /**
+   * @brief  Shifts the elements of a Q7 vector a specified number of bits.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_shift_q7(
+  const q7_t * pSrc,
+        int8_t shiftBits,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Shifts the elements of a Q15 vector a specified number of bits.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_shift_q15(
+  const q15_t * pSrc,
+        int8_t shiftBits,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Shifts the elements of a Q31 vector a specified number of bits.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_shift_q31(
+  const q31_t * pSrc,
+        int8_t shiftBits,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Adds a constant offset to a floating-point vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_f32(
+  const float32_t * pSrc,
+        float32_t offset,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Adds a constant offset to a Q7 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_q7(
+  const q7_t * pSrc,
+        q7_t offset,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Adds a constant offset to a Q15 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_q15(
+  const q15_t * pSrc,
+        q15_t offset,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Adds a constant offset to a Q31 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[in]  offset     is the offset to be added
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_offset_q31(
+  const q31_t * pSrc,
+        q31_t offset,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Negates the elements of a floating-point vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Negates the elements of a Q7 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_q7(
+  const q7_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Negates the elements of a Q15 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Negates the elements of a Q31 vector.
+   * @param[in]  pSrc       points to the input vector
+   * @param[out] pDst       points to the output vector
+   * @param[in]  blockSize  number of samples in the vector
+   */
+  void arm_negate_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Copies the elements of a floating-point vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Copies the elements of a Q7 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_q7(
+  const q7_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Copies the elements of a Q15 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Copies the elements of a Q31 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_copy_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a floating-point vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_f32(
+        float32_t value,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a Q7 vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_q7(
+        q7_t value,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a Q15 vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_q15(
+        q15_t value,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Fills a constant value into a Q31 vector.
+   * @param[in]  value      input value to be filled
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_fill_q31(
+        q31_t value,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+/**
+ * @brief Convolution of floating-point sequences.
+ * @param[in]  pSrcA    points to the first input sequence.
+ * @param[in]  srcALen  length of the first input sequence.
+ * @param[in]  pSrcB    points to the second input sequence.
+ * @param[in]  srcBLen  length of the second input sequence.
+ * @param[out] pDst     points to the location where the output result is written.  Length srcALen+srcBLen-1.
+ */
+  void arm_conv_f32(
+  const float32_t * pSrcA,
+        uint32_t srcALen,
+  const float32_t * pSrcB,
+        uint32_t srcBLen,
+        float32_t * pDst);
+
+
+  /**
+   * @brief Convolution of Q15 sequences.
+   * @param[in]  pSrcA      points to the first input sequence.
+   * @param[in]  srcALen    length of the first input sequence.
+   * @param[in]  pSrcB      points to the second input sequence.
+   * @param[in]  srcBLen    length of the second input sequence.
+   * @param[out] pDst       points to the block of output data  Length srcALen+srcBLen-1.
+   * @param[in]  pScratch1  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2  points to scratch buffer of size min(srcALen, srcBLen).
+   */
+  void arm_conv_opt_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        q15_t * pScratch1,
+        q15_t * pScratch2);
+
+
+/**
+ * @brief Convolution of Q15 sequences.
+ * @param[in]  pSrcA    points to the first input sequence.
+ * @param[in]  srcALen  length of the first input sequence.
+ * @param[in]  pSrcB    points to the second input sequence.
+ * @param[in]  srcBLen  length of the second input sequence.
+ * @param[out] pDst     points to the location where the output result is written.  Length srcALen+srcBLen-1.
+ */
+  void arm_conv_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst);
+
+
+  /**
+   * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.
+   */
+  void arm_conv_fast_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst);
+
+
+  /**
+   * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA      points to the first input sequence.
+   * @param[in]  srcALen    length of the first input sequence.
+   * @param[in]  pSrcB      points to the second input sequence.
+   * @param[in]  srcBLen    length of the second input sequence.
+   * @param[out] pDst       points to the block of output data  Length srcALen+srcBLen-1.
+   * @param[in]  pScratch1  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2  points to scratch buffer of size min(srcALen, srcBLen).
+   */
+  void arm_conv_fast_opt_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        q15_t * pScratch1,
+        q15_t * pScratch2);
+
+
+  /**
+   * @brief Convolution of Q31 sequences.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.
+   */
+  void arm_conv_q31(
+  const q31_t * pSrcA,
+        uint32_t srcALen,
+  const q31_t * pSrcB,
+        uint32_t srcBLen,
+        q31_t * pDst);
+
+
+  /**
+   * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.
+   */
+  void arm_conv_fast_q31(
+  const q31_t * pSrcA,
+        uint32_t srcALen,
+  const q31_t * pSrcB,
+        uint32_t srcBLen,
+        q31_t * pDst);
+
+
+    /**
+   * @brief Convolution of Q7 sequences.
+   * @param[in]  pSrcA      points to the first input sequence.
+   * @param[in]  srcALen    length of the first input sequence.
+   * @param[in]  pSrcB      points to the second input sequence.
+   * @param[in]  srcBLen    length of the second input sequence.
+   * @param[out] pDst       points to the block of output data  Length srcALen+srcBLen-1.
+   * @param[in]  pScratch1  points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2  points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+   */
+  void arm_conv_opt_q7(
+  const q7_t * pSrcA,
+        uint32_t srcALen,
+  const q7_t * pSrcB,
+        uint32_t srcBLen,
+        q7_t * pDst,
+        q15_t * pScratch1,
+        q15_t * pScratch2);
+
+
+  /**
+   * @brief Convolution of Q7 sequences.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length srcALen+srcBLen-1.
+   */
+  void arm_conv_q7(
+  const q7_t * pSrcA,
+        uint32_t srcALen,
+  const q7_t * pSrcB,
+        uint32_t srcBLen,
+        q7_t * pDst);
+
+
+  /**
+   * @brief Partial convolution of floating-point sequences.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_f32(
+  const float32_t * pSrcA,
+        uint32_t srcALen,
+  const float32_t * pSrcB,
+        uint32_t srcBLen,
+        float32_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints);
+
+
+  /**
+   * @brief Partial convolution of Q15 sequences.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @param[in]  pScratch1   points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2   points to scratch buffer of size min(srcALen, srcBLen).
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_opt_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints,
+        q15_t * pScratch1,
+        q15_t * pScratch2);
+
+
+  /**
+   * @brief Partial convolution of Q15 sequences.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints);
+
+
+  /**
+   * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_fast_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints);
+
+
+  /**
+   * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @param[in]  pScratch1   points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2   points to scratch buffer of size min(srcALen, srcBLen).
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_fast_opt_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints,
+        q15_t * pScratch1,
+        q15_t * pScratch2);
+
+
+  /**
+   * @brief Partial convolution of Q31 sequences.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_q31(
+  const q31_t * pSrcA,
+        uint32_t srcALen,
+  const q31_t * pSrcB,
+        uint32_t srcBLen,
+        q31_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints);
+
+
+  /**
+   * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_fast_q31(
+  const q31_t * pSrcA,
+        uint32_t srcALen,
+  const q31_t * pSrcB,
+        uint32_t srcBLen,
+        q31_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints);
+
+
+  /**
+   * @brief Partial convolution of Q7 sequences
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @param[in]  pScratch1   points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2   points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_opt_q7(
+  const q7_t * pSrcA,
+        uint32_t srcALen,
+  const q7_t * pSrcB,
+        uint32_t srcBLen,
+        q7_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints,
+        q15_t * pScratch1,
+        q15_t * pScratch2);
+
+
+/**
+   * @brief Partial convolution of Q7 sequences.
+   * @param[in]  pSrcA       points to the first input sequence.
+   * @param[in]  srcALen     length of the first input sequence.
+   * @param[in]  pSrcB       points to the second input sequence.
+   * @param[in]  srcBLen     length of the second input sequence.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  firstIndex  is the first output sample to start with.
+   * @param[in]  numPoints   is the number of output points to be computed.
+   * @return  Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+   */
+  arm_status arm_conv_partial_q7(
+  const q7_t * pSrcA,
+        uint32_t srcALen,
+  const q7_t * pSrcB,
+        uint32_t srcBLen,
+        q7_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints);
+
+
+  /**
+   * @brief Instance structure for the Q15 FIR decimator.
+   */
+  typedef struct
+  {
+          uint8_t M;                  /**< decimation factor. */
+          uint16_t numTaps;           /**< number of coefficients in the filter. */
+    const q15_t *pCoeffs;             /**< points to the coefficient array. The array is of length numTaps.*/
+          q15_t *pState;              /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+  } arm_fir_decimate_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 FIR decimator.
+   */
+  typedef struct
+  {
+          uint8_t M;                  /**< decimation factor. */
+          uint16_t numTaps;           /**< number of coefficients in the filter. */
+    const q31_t *pCoeffs;             /**< points to the coefficient array. The array is of length numTaps.*/
+          q31_t *pState;              /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+  } arm_fir_decimate_instance_q31;
+
+/**
+  @brief Instance structure for floating-point FIR decimator.
+ */
+typedef struct
+  {
+          uint8_t M;                  /**< decimation factor. */
+          uint16_t numTaps;           /**< number of coefficients in the filter. */
+    const float32_t *pCoeffs;         /**< points to the coefficient array. The array is of length numTaps.*/
+          float32_t *pState;          /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+  } arm_fir_decimate_instance_f32;
+
+
+/**
+  @brief         Processing function for floating-point FIR decimator.
+  @param[in]     S         points to an instance of the floating-point FIR decimator structure
+  @param[in]     pSrc      points to the block of input data
+  @param[out]    pDst      points to the block of output data
+  @param[in]     blockSize number of samples to process
+ */
+void arm_fir_decimate_f32(
+  const arm_fir_decimate_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+/**
+  @brief         Initialization function for the floating-point FIR decimator.
+  @param[in,out] S          points to an instance of the floating-point FIR decimator structure
+  @param[in]     numTaps    number of coefficients in the filter
+  @param[in]     M          decimation factor
+  @param[in]     pCoeffs    points to the filter coefficients
+  @param[in]     pState     points to the state buffer
+  @param[in]     blockSize  number of input samples to process per call
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS      : Operation successful
+                   - \ref ARM_MATH_LENGTH_ERROR : <code>blockSize</code> is not a multiple of <code>M</code>
+ */
+arm_status arm_fir_decimate_init_f32(
+        arm_fir_decimate_instance_f32 * S,
+        uint16_t numTaps,
+        uint8_t M,
+  const float32_t * pCoeffs,
+        float32_t * pState,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q15 FIR decimator.
+   * @param[in]  S          points to an instance of the Q15 FIR decimator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_decimate_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
+   * @param[in]  S          points to an instance of the Q15 FIR decimator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_decimate_fast_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q15 FIR decimator.
+   * @param[in,out] S          points to an instance of the Q15 FIR decimator structure.
+   * @param[in]     numTaps    number of coefficients in the filter.
+   * @param[in]     M          decimation factor.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
+   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+   * <code>blockSize</code> is not a multiple of <code>M</code>.
+   */
+  arm_status arm_fir_decimate_init_q15(
+        arm_fir_decimate_instance_q15 * S,
+        uint16_t numTaps,
+        uint8_t M,
+  const q15_t * pCoeffs,
+        q15_t * pState,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q31 FIR decimator.
+   * @param[in]  S     points to an instance of the Q31 FIR decimator structure.
+   * @param[in]  pSrc  points to the block of input data.
+   * @param[out] pDst  points to the block of output data
+   * @param[in] blockSize number of input samples to process per call.
+   */
+  void arm_fir_decimate_q31(
+  const arm_fir_decimate_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+  /**
+   * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
+   * @param[in]  S          points to an instance of the Q31 FIR decimator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_decimate_fast_q31(
+  const arm_fir_decimate_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q31 FIR decimator.
+   * @param[in,out] S          points to an instance of the Q31 FIR decimator structure.
+   * @param[in]     numTaps    number of coefficients in the filter.
+   * @param[in]     M          decimation factor.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
+   * @return    The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+   * <code>blockSize</code> is not a multiple of <code>M</code>.
+   */
+  arm_status arm_fir_decimate_init_q31(
+        arm_fir_decimate_instance_q31 * S,
+        uint16_t numTaps,
+        uint8_t M,
+  const q31_t * pCoeffs,
+        q31_t * pState,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q15 FIR interpolator.
+   */
+  typedef struct
+  {
+        uint8_t L;                      /**< upsample factor. */
+        uint16_t phaseLength;           /**< length of each polyphase filter component. */
+  const q15_t *pCoeffs;                 /**< points to the coefficient array. The array is of length L*phaseLength. */
+        q15_t *pState;                  /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
+  } arm_fir_interpolate_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 FIR interpolator.
+   */
+  typedef struct
+  {
+        uint8_t L;                      /**< upsample factor. */
+        uint16_t phaseLength;           /**< length of each polyphase filter component. */
+  const q31_t *pCoeffs;                 /**< points to the coefficient array. The array is of length L*phaseLength. */
+        q31_t *pState;                  /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
+  } arm_fir_interpolate_instance_q31;
+
+  /**
+   * @brief Instance structure for the floating-point FIR interpolator.
+   */
+  typedef struct
+  {
+        uint8_t L;                     /**< upsample factor. */
+        uint16_t phaseLength;          /**< length of each polyphase filter component. */
+  const float32_t *pCoeffs;            /**< points to the coefficient array. The array is of length L*phaseLength. */
+        float32_t *pState;             /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */
+  } arm_fir_interpolate_instance_f32;
+
+
+  /**
+   * @brief Processing function for the Q15 FIR interpolator.
+   * @param[in]  S          points to an instance of the Q15 FIR interpolator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_interpolate_q15(
+  const arm_fir_interpolate_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q15 FIR interpolator.
+   * @param[in,out] S          points to an instance of the Q15 FIR interpolator structure.
+   * @param[in]     L          upsample factor.
+   * @param[in]     numTaps    number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficient buffer.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
+   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+   * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.
+   */
+  arm_status arm_fir_interpolate_init_q15(
+        arm_fir_interpolate_instance_q15 * S,
+        uint8_t L,
+        uint16_t numTaps,
+  const q15_t * pCoeffs,
+        q15_t * pState,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q31 FIR interpolator.
+   * @param[in]  S          points to an instance of the Q15 FIR interpolator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_interpolate_q31(
+  const arm_fir_interpolate_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q31 FIR interpolator.
+   * @param[in,out] S          points to an instance of the Q31 FIR interpolator structure.
+   * @param[in]     L          upsample factor.
+   * @param[in]     numTaps    number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficient buffer.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
+   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+   * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.
+   */
+  arm_status arm_fir_interpolate_init_q31(
+        arm_fir_interpolate_instance_q31 * S,
+        uint8_t L,
+        uint16_t numTaps,
+  const q31_t * pCoeffs,
+        q31_t * pState,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the floating-point FIR interpolator.
+   * @param[in]  S          points to an instance of the floating-point FIR interpolator structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of input samples to process per call.
+   */
+  void arm_fir_interpolate_f32(
+  const arm_fir_interpolate_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the floating-point FIR interpolator.
+   * @param[in,out] S          points to an instance of the floating-point FIR interpolator structure.
+   * @param[in]     L          upsample factor.
+   * @param[in]     numTaps    number of filter coefficients in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficient buffer.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     blockSize  number of input samples to process per call.
+   * @return        The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+   * the filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>.
+   */
+  arm_status arm_fir_interpolate_init_f32(
+        arm_fir_interpolate_instance_f32 * S,
+        uint8_t L,
+        uint16_t numTaps,
+  const float32_t * pCoeffs,
+        float32_t * pState,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the high precision Q31 Biquad cascade filter.
+   */
+  typedef struct
+  {
+          uint8_t numStages;       /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+          q63_t *pState;           /**< points to the array of state coefficients.  The array is of length 4*numStages. */
+    const q31_t *pCoeffs;          /**< points to the array of coefficients.  The array is of length 5*numStages. */
+          uint8_t postShift;       /**< additional shift, in bits, applied to each output sample. */
+  } arm_biquad_cas_df1_32x64_ins_q31;
+
+
+  /**
+   * @param[in]  S          points to an instance of the high precision Q31 Biquad cascade filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cas_df1_32x64_q31(
+  const arm_biquad_cas_df1_32x64_ins_q31 * S,
+        q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @param[in,out] S          points to an instance of the high precision Q31 Biquad cascade filter structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     postShift  shift to be applied to the output. Varies according to the coefficients format
+   */
+  void arm_biquad_cas_df1_32x64_init_q31(
+        arm_biquad_cas_df1_32x64_ins_q31 * S,
+        uint8_t numStages,
+  const q31_t * pCoeffs,
+        q63_t * pState,
+        uint8_t postShift);
+
+
+  /**
+   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+   */
+  typedef struct
+  {
+          uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+          float32_t *pState;         /**< points to the array of state coefficients.  The array is of length 2*numStages. */
+    const float32_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_cascade_df2T_instance_f32;
+
+  /**
+   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+   */
+  typedef struct
+  {
+          uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+          float32_t *pState;         /**< points to the array of state coefficients.  The array is of length 4*numStages. */
+    const float32_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_cascade_stereo_df2T_instance_f32;
+
+  /**
+   * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+   */
+  typedef struct
+  {
+          uint8_t numStages;         /**< number of 2nd order stages in the filter.  Overall order is 2*numStages. */
+          float64_t *pState;         /**< points to the array of state coefficients.  The array is of length 2*numStages. */
+          float64_t *pCoeffs;        /**< points to the array of coefficients.  The array is of length 5*numStages. */
+  } arm_biquad_cascade_df2T_instance_f64;
+
+
+  /**
+   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in]  S          points to an instance of the filter data structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df2T_f32(
+  const arm_biquad_cascade_df2T_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels
+   * @param[in]  S          points to an instance of the filter data structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_stereo_df2T_f32(
+  const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in]  S          points to an instance of the filter data structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_biquad_cascade_df2T_f64(
+  const arm_biquad_cascade_df2T_instance_f64 * S,
+        float64_t * pSrc,
+        float64_t * pDst,
+        uint32_t blockSize);
+
+
+#if defined(ARM_MATH_NEON) 
+void arm_biquad_cascade_df2T_compute_coefs_f32(
+  arm_biquad_cascade_df2T_instance_f32 * S,
+  uint8_t numStages,
+  float32_t * pCoeffs);
+#endif
+  /**
+   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the filter data structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
+  void arm_biquad_cascade_df2T_init_f32(
+        arm_biquad_cascade_df2T_instance_f32 * S,
+        uint8_t numStages,
+  const float32_t * pCoeffs,
+        float32_t * pState);
+
+
+  /**
+   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the filter data structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
+  void arm_biquad_cascade_stereo_df2T_init_f32(
+        arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+        uint8_t numStages,
+  const float32_t * pCoeffs,
+        float32_t * pState);
+
+
+  /**
+   * @brief  Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+   * @param[in,out] S          points to an instance of the filter data structure.
+   * @param[in]     numStages  number of 2nd order stages in the filter.
+   * @param[in]     pCoeffs    points to the filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   */
+  void arm_biquad_cascade_df2T_init_f64(
+        arm_biquad_cascade_df2T_instance_f64 * S,
+        uint8_t numStages,
+        float64_t * pCoeffs,
+        float64_t * pState);
+
+
+  /**
+   * @brief Instance structure for the Q15 FIR lattice filter.
+   */
+  typedef struct
+  {
+          uint16_t numStages;                  /**< number of filter stages. */
+          q15_t *pState;                       /**< points to the state variable array. The array is of length numStages. */
+    const q15_t *pCoeffs;                      /**< points to the coefficient array. The array is of length numStages. */
+  } arm_fir_lattice_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 FIR lattice filter.
+   */
+  typedef struct
+  {
+          uint16_t numStages;                  /**< number of filter stages. */
+          q31_t *pState;                       /**< points to the state variable array. The array is of length numStages. */
+    const q31_t *pCoeffs;                      /**< points to the coefficient array. The array is of length numStages. */
+  } arm_fir_lattice_instance_q31;
+
+  /**
+   * @brief Instance structure for the floating-point FIR lattice filter.
+   */
+  typedef struct
+  {
+          uint16_t numStages;                  /**< number of filter stages. */
+          float32_t *pState;                   /**< points to the state variable array. The array is of length numStages. */
+    const float32_t *pCoeffs;                  /**< points to the coefficient array. The array is of length numStages. */
+  } arm_fir_lattice_instance_f32;
+
+
+  /**
+   * @brief Initialization function for the Q15 FIR lattice filter.
+   * @param[in] S          points to an instance of the Q15 FIR lattice structure.
+   * @param[in] numStages  number of filter stages.
+   * @param[in] pCoeffs    points to the coefficient buffer.  The array is of length numStages.
+   * @param[in] pState     points to the state buffer.  The array is of length numStages.
+   */
+  void arm_fir_lattice_init_q15(
+        arm_fir_lattice_instance_q15 * S,
+        uint16_t numStages,
+  const q15_t * pCoeffs,
+        q15_t * pState);
+
+
+  /**
+   * @brief Processing function for the Q15 FIR lattice filter.
+   * @param[in]  S          points to an instance of the Q15 FIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_lattice_q15(
+  const arm_fir_lattice_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for the Q31 FIR lattice filter.
+   * @param[in] S          points to an instance of the Q31 FIR lattice structure.
+   * @param[in] numStages  number of filter stages.
+   * @param[in] pCoeffs    points to the coefficient buffer.  The array is of length numStages.
+   * @param[in] pState     points to the state buffer.   The array is of length numStages.
+   */
+  void arm_fir_lattice_init_q31(
+        arm_fir_lattice_instance_q31 * S,
+        uint16_t numStages,
+  const q31_t * pCoeffs,
+        q31_t * pState);
+
+
+  /**
+   * @brief Processing function for the Q31 FIR lattice filter.
+   * @param[in]  S          points to an instance of the Q31 FIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_lattice_q31(
+  const arm_fir_lattice_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+/**
+ * @brief Initialization function for the floating-point FIR lattice filter.
+ * @param[in] S          points to an instance of the floating-point FIR lattice structure.
+ * @param[in] numStages  number of filter stages.
+ * @param[in] pCoeffs    points to the coefficient buffer.  The array is of length numStages.
+ * @param[in] pState     points to the state buffer.  The array is of length numStages.
+ */
+  void arm_fir_lattice_init_f32(
+        arm_fir_lattice_instance_f32 * S,
+        uint16_t numStages,
+  const float32_t * pCoeffs,
+        float32_t * pState);
+
+
+  /**
+   * @brief Processing function for the floating-point FIR lattice filter.
+   * @param[in]  S          points to an instance of the floating-point FIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_fir_lattice_f32(
+  const arm_fir_lattice_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q15 IIR lattice filter.
+   */
+  typedef struct
+  {
+          uint16_t numStages;                  /**< number of stages in the filter. */
+          q15_t *pState;                       /**< points to the state variable array. The array is of length numStages+blockSize. */
+          q15_t *pkCoeffs;                     /**< points to the reflection coefficient array. The array is of length numStages. */
+          q15_t *pvCoeffs;                     /**< points to the ladder coefficient array. The array is of length numStages+1. */
+  } arm_iir_lattice_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q31 IIR lattice filter.
+   */
+  typedef struct
+  {
+          uint16_t numStages;                  /**< number of stages in the filter. */
+          q31_t *pState;                       /**< points to the state variable array. The array is of length numStages+blockSize. */
+          q31_t *pkCoeffs;                     /**< points to the reflection coefficient array. The array is of length numStages. */
+          q31_t *pvCoeffs;                     /**< points to the ladder coefficient array. The array is of length numStages+1. */
+  } arm_iir_lattice_instance_q31;
+
+  /**
+   * @brief Instance structure for the floating-point IIR lattice filter.
+   */
+  typedef struct
+  {
+          uint16_t numStages;                  /**< number of stages in the filter. */
+          float32_t *pState;                   /**< points to the state variable array. The array is of length numStages+blockSize. */
+          float32_t *pkCoeffs;                 /**< points to the reflection coefficient array. The array is of length numStages. */
+          float32_t *pvCoeffs;                 /**< points to the ladder coefficient array. The array is of length numStages+1. */
+  } arm_iir_lattice_instance_f32;
+
+
+  /**
+   * @brief Processing function for the floating-point IIR lattice filter.
+   * @param[in]  S          points to an instance of the floating-point IIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_iir_lattice_f32(
+  const arm_iir_lattice_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for the floating-point IIR lattice filter.
+   * @param[in] S          points to an instance of the floating-point IIR lattice structure.
+   * @param[in] numStages  number of stages in the filter.
+   * @param[in] pkCoeffs   points to the reflection coefficient buffer.  The array is of length numStages.
+   * @param[in] pvCoeffs   points to the ladder coefficient buffer.  The array is of length numStages+1.
+   * @param[in] pState     points to the state buffer.  The array is of length numStages+blockSize-1.
+   * @param[in] blockSize  number of samples to process.
+   */
+  void arm_iir_lattice_init_f32(
+        arm_iir_lattice_instance_f32 * S,
+        uint16_t numStages,
+        float32_t * pkCoeffs,
+        float32_t * pvCoeffs,
+        float32_t * pState,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q31 IIR lattice filter.
+   * @param[in]  S          points to an instance of the Q31 IIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_iir_lattice_q31(
+  const arm_iir_lattice_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for the Q31 IIR lattice filter.
+   * @param[in] S          points to an instance of the Q31 IIR lattice structure.
+   * @param[in] numStages  number of stages in the filter.
+   * @param[in] pkCoeffs   points to the reflection coefficient buffer.  The array is of length numStages.
+   * @param[in] pvCoeffs   points to the ladder coefficient buffer.  The array is of length numStages+1.
+   * @param[in] pState     points to the state buffer.  The array is of length numStages+blockSize.
+   * @param[in] blockSize  number of samples to process.
+   */
+  void arm_iir_lattice_init_q31(
+        arm_iir_lattice_instance_q31 * S,
+        uint16_t numStages,
+        q31_t * pkCoeffs,
+        q31_t * pvCoeffs,
+        q31_t * pState,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q15 IIR lattice filter.
+   * @param[in]  S          points to an instance of the Q15 IIR lattice structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[out] pDst       points to the block of output data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_iir_lattice_q15(
+  const arm_iir_lattice_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+/**
+ * @brief Initialization function for the Q15 IIR lattice filter.
+ * @param[in] S          points to an instance of the fixed-point Q15 IIR lattice structure.
+ * @param[in] numStages  number of stages in the filter.
+ * @param[in] pkCoeffs   points to reflection coefficient buffer.  The array is of length numStages.
+ * @param[in] pvCoeffs   points to ladder coefficient buffer.  The array is of length numStages+1.
+ * @param[in] pState     points to state buffer.  The array is of length numStages+blockSize.
+ * @param[in] blockSize  number of samples to process per call.
+ */
+  void arm_iir_lattice_init_q15(
+        arm_iir_lattice_instance_q15 * S,
+        uint16_t numStages,
+        q15_t * pkCoeffs,
+        q15_t * pvCoeffs,
+        q15_t * pState,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the floating-point LMS filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;    /**< number of coefficients in the filter. */
+          float32_t *pState;   /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+          float32_t *pCoeffs;  /**< points to the coefficient array. The array is of length numTaps. */
+          float32_t mu;        /**< step size that controls filter coefficient updates. */
+  } arm_lms_instance_f32;
+
+
+  /**
+   * @brief Processing function for floating-point LMS filter.
+   * @param[in]  S          points to an instance of the floating-point LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_lms_f32(
+  const arm_lms_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pRef,
+        float32_t * pOut,
+        float32_t * pErr,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for floating-point LMS filter.
+   * @param[in] S          points to an instance of the floating-point LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to the coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   */
+  void arm_lms_init_f32(
+        arm_lms_instance_f32 * S,
+        uint16_t numTaps,
+        float32_t * pCoeffs,
+        float32_t * pState,
+        float32_t mu,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q15 LMS filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;    /**< number of coefficients in the filter. */
+          q15_t *pState;       /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+          q15_t *pCoeffs;      /**< points to the coefficient array. The array is of length numTaps. */
+          q15_t mu;            /**< step size that controls filter coefficient updates. */
+          uint32_t postShift;  /**< bit shift applied to coefficients. */
+  } arm_lms_instance_q15;
+
+
+  /**
+   * @brief Initialization function for the Q15 LMS filter.
+   * @param[in] S          points to an instance of the Q15 LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to the coefficient buffer.
+   * @param[in] pState     points to the state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   * @param[in] postShift  bit shift applied to coefficients.
+   */
+  void arm_lms_init_q15(
+        arm_lms_instance_q15 * S,
+        uint16_t numTaps,
+        q15_t * pCoeffs,
+        q15_t * pState,
+        q15_t mu,
+        uint32_t blockSize,
+        uint32_t postShift);
+
+
+  /**
+   * @brief Processing function for Q15 LMS filter.
+   * @param[in]  S          points to an instance of the Q15 LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_lms_q15(
+  const arm_lms_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pRef,
+        q15_t * pOut,
+        q15_t * pErr,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q31 LMS filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;    /**< number of coefficients in the filter. */
+          q31_t *pState;       /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+          q31_t *pCoeffs;      /**< points to the coefficient array. The array is of length numTaps. */
+          q31_t mu;            /**< step size that controls filter coefficient updates. */
+          uint32_t postShift;  /**< bit shift applied to coefficients. */
+  } arm_lms_instance_q31;
+
+
+  /**
+   * @brief Processing function for Q31 LMS filter.
+   * @param[in]  S          points to an instance of the Q15 LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_lms_q31(
+  const arm_lms_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pRef,
+        q31_t * pOut,
+        q31_t * pErr,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for Q31 LMS filter.
+   * @param[in] S          points to an instance of the Q31 LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   * @param[in] postShift  bit shift applied to coefficients.
+   */
+  void arm_lms_init_q31(
+        arm_lms_instance_q31 * S,
+        uint16_t numTaps,
+        q31_t * pCoeffs,
+        q31_t * pState,
+        q31_t mu,
+        uint32_t blockSize,
+        uint32_t postShift);
+
+
+  /**
+   * @brief Instance structure for the floating-point normalized LMS filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;     /**< number of coefficients in the filter. */
+          float32_t *pState;    /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+          float32_t *pCoeffs;   /**< points to the coefficient array. The array is of length numTaps. */
+          float32_t mu;         /**< step size that control filter coefficient updates. */
+          float32_t energy;     /**< saves previous frame energy. */
+          float32_t x0;         /**< saves previous input sample. */
+  } arm_lms_norm_instance_f32;
+
+
+  /**
+   * @brief Processing function for floating-point normalized LMS filter.
+   * @param[in]  S          points to an instance of the floating-point normalized LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_lms_norm_f32(
+        arm_lms_norm_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pRef,
+        float32_t * pOut,
+        float32_t * pErr,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for floating-point normalized LMS filter.
+   * @param[in] S          points to an instance of the floating-point LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   */
+  void arm_lms_norm_init_f32(
+        arm_lms_norm_instance_f32 * S,
+        uint16_t numTaps,
+        float32_t * pCoeffs,
+        float32_t * pState,
+        float32_t mu,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Instance structure for the Q31 normalized LMS filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;     /**< number of coefficients in the filter. */
+          q31_t *pState;        /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+          q31_t *pCoeffs;       /**< points to the coefficient array. The array is of length numTaps. */
+          q31_t mu;             /**< step size that controls filter coefficient updates. */
+          uint8_t postShift;    /**< bit shift applied to coefficients. */
+    const q31_t *recipTable;    /**< points to the reciprocal initial value table. */
+          q31_t energy;         /**< saves previous frame energy. */
+          q31_t x0;             /**< saves previous input sample. */
+  } arm_lms_norm_instance_q31;
+
+
+  /**
+   * @brief Processing function for Q31 normalized LMS filter.
+   * @param[in]  S          points to an instance of the Q31 normalized LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_lms_norm_q31(
+        arm_lms_norm_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pRef,
+        q31_t * pOut,
+        q31_t * pErr,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for Q31 normalized LMS filter.
+   * @param[in] S          points to an instance of the Q31 normalized LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   * @param[in] postShift  bit shift applied to coefficients.
+   */
+  void arm_lms_norm_init_q31(
+        arm_lms_norm_instance_q31 * S,
+        uint16_t numTaps,
+        q31_t * pCoeffs,
+        q31_t * pState,
+        q31_t mu,
+        uint32_t blockSize,
+        uint8_t postShift);
+
+
+  /**
+   * @brief Instance structure for the Q15 normalized LMS filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;     /**< Number of coefficients in the filter. */
+          q15_t *pState;        /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+          q15_t *pCoeffs;       /**< points to the coefficient array. The array is of length numTaps. */
+          q15_t mu;             /**< step size that controls filter coefficient updates. */
+          uint8_t postShift;    /**< bit shift applied to coefficients. */
+    const q15_t *recipTable;    /**< Points to the reciprocal initial value table. */
+          q15_t energy;         /**< saves previous frame energy. */
+          q15_t x0;             /**< saves previous input sample. */
+  } arm_lms_norm_instance_q15;
+
+
+  /**
+   * @brief Processing function for Q15 normalized LMS filter.
+   * @param[in]  S          points to an instance of the Q15 normalized LMS filter structure.
+   * @param[in]  pSrc       points to the block of input data.
+   * @param[in]  pRef       points to the block of reference data.
+   * @param[out] pOut       points to the block of output data.
+   * @param[out] pErr       points to the block of error data.
+   * @param[in]  blockSize  number of samples to process.
+   */
+  void arm_lms_norm_q15(
+        arm_lms_norm_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pRef,
+        q15_t * pOut,
+        q15_t * pErr,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Initialization function for Q15 normalized LMS filter.
+   * @param[in] S          points to an instance of the Q15 normalized LMS filter structure.
+   * @param[in] numTaps    number of filter coefficients.
+   * @param[in] pCoeffs    points to coefficient buffer.
+   * @param[in] pState     points to state buffer.
+   * @param[in] mu         step size that controls filter coefficient updates.
+   * @param[in] blockSize  number of samples to process.
+   * @param[in] postShift  bit shift applied to coefficients.
+   */
+  void arm_lms_norm_init_q15(
+        arm_lms_norm_instance_q15 * S,
+        uint16_t numTaps,
+        q15_t * pCoeffs,
+        q15_t * pState,
+        q15_t mu,
+        uint32_t blockSize,
+        uint8_t postShift);
+
+
+  /**
+   * @brief Correlation of floating-point sequences.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
+  void arm_correlate_f32(
+  const float32_t * pSrcA,
+        uint32_t srcALen,
+  const float32_t * pSrcB,
+        uint32_t srcBLen,
+        float32_t * pDst);
+
+
+/**
+ @brief Correlation of Q15 sequences
+ @param[in]  pSrcA     points to the first input sequence
+ @param[in]  srcALen   length of the first input sequence
+ @param[in]  pSrcB     points to the second input sequence
+ @param[in]  srcBLen   length of the second input sequence
+ @param[out] pDst      points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+ @param[in]  pScratch  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+*/
+void arm_correlate_opt_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        q15_t * pScratch);
+
+
+/**
+  @brief Correlation of Q15 sequences.
+  @param[in]  pSrcA    points to the first input sequence
+  @param[in]  srcALen  length of the first input sequence
+  @param[in]  pSrcB    points to the second input sequence
+  @param[in]  srcBLen  length of the second input sequence
+  @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+ */
+  void arm_correlate_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst);
+
+
+/**
+  @brief         Correlation of Q15 sequences (fast version).
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.
+  @return        none
+ */
+void arm_correlate_fast_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst);
+
+
+/**
+  @brief Correlation of Q15 sequences (fast version).
+  @param[in]  pSrcA     points to the first input sequence.
+  @param[in]  srcALen   length of the first input sequence.
+  @param[in]  pSrcB     points to the second input sequence.
+  @param[in]  srcBLen   length of the second input sequence.
+  @param[out] pDst      points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+  @param[in]  pScratch  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ */
+void arm_correlate_fast_opt_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        q15_t * pScratch);
+
+
+  /**
+   * @brief Correlation of Q31 sequences.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
+  void arm_correlate_q31(
+  const q31_t * pSrcA,
+        uint32_t srcALen,
+  const q31_t * pSrcB,
+        uint32_t srcBLen,
+        q31_t * pDst);
+
+
+/**
+  @brief Correlation of Q31 sequences (fast version).
+  @param[in]  pSrcA    points to the first input sequence
+  @param[in]  srcALen  length of the first input sequence
+  @param[in]  pSrcB    points to the second input sequence
+  @param[in]  srcBLen  length of the second input sequence
+  @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+ */
+void arm_correlate_fast_q31(
+  const q31_t * pSrcA,
+        uint32_t srcALen,
+  const q31_t * pSrcB,
+        uint32_t srcBLen,
+        q31_t * pDst);
+
+
+ /**
+   * @brief Correlation of Q7 sequences.
+   * @param[in]  pSrcA      points to the first input sequence.
+   * @param[in]  srcALen    length of the first input sequence.
+   * @param[in]  pSrcB      points to the second input sequence.
+   * @param[in]  srcBLen    length of the second input sequence.
+   * @param[out] pDst       points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   * @param[in]  pScratch1  points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+   * @param[in]  pScratch2  points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+   */
+  void arm_correlate_opt_q7(
+  const q7_t * pSrcA,
+        uint32_t srcALen,
+  const q7_t * pSrcB,
+        uint32_t srcBLen,
+        q7_t * pDst,
+        q15_t * pScratch1,
+        q15_t * pScratch2);
+
+
+  /**
+   * @brief Correlation of Q7 sequences.
+   * @param[in]  pSrcA    points to the first input sequence.
+   * @param[in]  srcALen  length of the first input sequence.
+   * @param[in]  pSrcB    points to the second input sequence.
+   * @param[in]  srcBLen  length of the second input sequence.
+   * @param[out] pDst     points to the block of output data  Length 2 * max(srcALen, srcBLen) - 1.
+   */
+  void arm_correlate_q7(
+  const q7_t * pSrcA,
+        uint32_t srcALen,
+  const q7_t * pSrcB,
+        uint32_t srcBLen,
+        q7_t * pDst);
+
+
+  /**
+   * @brief Instance structure for the floating-point sparse FIR filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;             /**< number of coefficients in the filter. */
+          uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
+          float32_t *pState;            /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+    const float32_t *pCoeffs;           /**< points to the coefficient array. The array is of length numTaps.*/
+          uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
+          int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
+  } arm_fir_sparse_instance_f32;
+
+  /**
+   * @brief Instance structure for the Q31 sparse FIR filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;             /**< number of coefficients in the filter. */
+          uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
+          q31_t *pState;                /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+    const q31_t *pCoeffs;               /**< points to the coefficient array. The array is of length numTaps.*/
+          uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
+          int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
+  } arm_fir_sparse_instance_q31;
+
+  /**
+   * @brief Instance structure for the Q15 sparse FIR filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;             /**< number of coefficients in the filter. */
+          uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
+          q15_t *pState;                /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+    const q15_t *pCoeffs;               /**< points to the coefficient array. The array is of length numTaps.*/
+          uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
+          int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
+  } arm_fir_sparse_instance_q15;
+
+  /**
+   * @brief Instance structure for the Q7 sparse FIR filter.
+   */
+  typedef struct
+  {
+          uint16_t numTaps;             /**< number of coefficients in the filter. */
+          uint16_t stateIndex;          /**< state buffer index.  Points to the oldest sample in the state buffer. */
+          q7_t *pState;                 /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+    const q7_t *pCoeffs;                /**< points to the coefficient array. The array is of length numTaps.*/
+          uint16_t maxDelay;            /**< maximum offset specified by the pTapDelay array. */
+          int32_t *pTapDelay;           /**< points to the array of delay values.  The array is of length numTaps. */
+  } arm_fir_sparse_instance_q7;
+
+
+  /**
+   * @brief Processing function for the floating-point sparse FIR filter.
+   * @param[in]  S           points to an instance of the floating-point sparse FIR structure.
+   * @param[in]  pSrc        points to the block of input data.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  pScratchIn  points to a temporary buffer of size blockSize.
+   * @param[in]  blockSize   number of input samples to process per call.
+   */
+  void arm_fir_sparse_f32(
+        arm_fir_sparse_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        float32_t * pScratchIn,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the floating-point sparse FIR filter.
+   * @param[in,out] S          points to an instance of the floating-point sparse FIR structure.
+   * @param[in]     numTaps    number of nonzero coefficients in the filter.
+   * @param[in]     pCoeffs    points to the array of filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     pTapDelay  points to the array of offset times.
+   * @param[in]     maxDelay   maximum offset time supported.
+   * @param[in]     blockSize  number of samples that will be processed per block.
+   */
+  void arm_fir_sparse_init_f32(
+        arm_fir_sparse_instance_f32 * S,
+        uint16_t numTaps,
+  const float32_t * pCoeffs,
+        float32_t * pState,
+        int32_t * pTapDelay,
+        uint16_t maxDelay,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q31 sparse FIR filter.
+   * @param[in]  S           points to an instance of the Q31 sparse FIR structure.
+   * @param[in]  pSrc        points to the block of input data.
+   * @param[out] pDst        points to the block of output data
+   * @param[in]  pScratchIn  points to a temporary buffer of size blockSize.
+   * @param[in]  blockSize   number of input samples to process per call.
+   */
+  void arm_fir_sparse_q31(
+        arm_fir_sparse_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        q31_t * pScratchIn,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q31 sparse FIR filter.
+   * @param[in,out] S          points to an instance of the Q31 sparse FIR structure.
+   * @param[in]     numTaps    number of nonzero coefficients in the filter.
+   * @param[in]     pCoeffs    points to the array of filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     pTapDelay  points to the array of offset times.
+   * @param[in]     maxDelay   maximum offset time supported.
+   * @param[in]     blockSize  number of samples that will be processed per block.
+   */
+  void arm_fir_sparse_init_q31(
+        arm_fir_sparse_instance_q31 * S,
+        uint16_t numTaps,
+  const q31_t * pCoeffs,
+        q31_t * pState,
+        int32_t * pTapDelay,
+        uint16_t maxDelay,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q15 sparse FIR filter.
+   * @param[in]  S            points to an instance of the Q15 sparse FIR structure.
+   * @param[in]  pSrc         points to the block of input data.
+   * @param[out] pDst         points to the block of output data
+   * @param[in]  pScratchIn   points to a temporary buffer of size blockSize.
+   * @param[in]  pScratchOut  points to a temporary buffer of size blockSize.
+   * @param[in]  blockSize    number of input samples to process per call.
+   */
+  void arm_fir_sparse_q15(
+        arm_fir_sparse_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        q15_t * pScratchIn,
+        q31_t * pScratchOut,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q15 sparse FIR filter.
+   * @param[in,out] S          points to an instance of the Q15 sparse FIR structure.
+   * @param[in]     numTaps    number of nonzero coefficients in the filter.
+   * @param[in]     pCoeffs    points to the array of filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     pTapDelay  points to the array of offset times.
+   * @param[in]     maxDelay   maximum offset time supported.
+   * @param[in]     blockSize  number of samples that will be processed per block.
+   */
+  void arm_fir_sparse_init_q15(
+        arm_fir_sparse_instance_q15 * S,
+        uint16_t numTaps,
+  const q15_t * pCoeffs,
+        q15_t * pState,
+        int32_t * pTapDelay,
+        uint16_t maxDelay,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Processing function for the Q7 sparse FIR filter.
+   * @param[in]  S            points to an instance of the Q7 sparse FIR structure.
+   * @param[in]  pSrc         points to the block of input data.
+   * @param[out] pDst         points to the block of output data
+   * @param[in]  pScratchIn   points to a temporary buffer of size blockSize.
+   * @param[in]  pScratchOut  points to a temporary buffer of size blockSize.
+   * @param[in]  blockSize    number of input samples to process per call.
+   */
+  void arm_fir_sparse_q7(
+        arm_fir_sparse_instance_q7 * S,
+  const q7_t * pSrc,
+        q7_t * pDst,
+        q7_t * pScratchIn,
+        q31_t * pScratchOut,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Initialization function for the Q7 sparse FIR filter.
+   * @param[in,out] S          points to an instance of the Q7 sparse FIR structure.
+   * @param[in]     numTaps    number of nonzero coefficients in the filter.
+   * @param[in]     pCoeffs    points to the array of filter coefficients.
+   * @param[in]     pState     points to the state buffer.
+   * @param[in]     pTapDelay  points to the array of offset times.
+   * @param[in]     maxDelay   maximum offset time supported.
+   * @param[in]     blockSize  number of samples that will be processed per block.
+   */
+  void arm_fir_sparse_init_q7(
+        arm_fir_sparse_instance_q7 * S,
+        uint16_t numTaps,
+  const q7_t * pCoeffs,
+        q7_t * pState,
+        int32_t * pTapDelay,
+        uint16_t maxDelay,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Floating-point sin_cos function.
+   * @param[in]  theta   input value in degrees
+   * @param[out] pSinVal  points to the processed sine output.
+   * @param[out] pCosVal  points to the processed cos output.
+   */
+  void arm_sin_cos_f32(
+        float32_t theta,
+        float32_t * pSinVal,
+        float32_t * pCosVal);
+
+
+  /**
+   * @brief  Q31 sin_cos function.
+   * @param[in]  theta    scaled input value in degrees
+   * @param[out] pSinVal  points to the processed sine output.
+   * @param[out] pCosVal  points to the processed cosine output.
+   */
+  void arm_sin_cos_q31(
+        q31_t theta,
+        q31_t * pSinVal,
+        q31_t * pCosVal);
+
+
+  /**
+   * @brief  Floating-point complex conjugate.
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_conj_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t numSamples);
+
+  /**
+   * @brief  Q31 complex conjugate.
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_conj_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q15 complex conjugate.
+   * @param[in]  pSrc        points to the input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_conj_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Floating-point complex magnitude squared
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_squared_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q31 complex magnitude squared
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_squared_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q15 complex magnitude squared
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_squared_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t numSamples);
+
+
+ /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup PID PID Motor Control
+   *
+   * A Proportional Integral Derivative (PID) controller is a generic feedback control
+   * loop mechanism widely used in industrial control systems.
+   * A PID controller is the most commonly used type of feedback controller.
+   *
+   * This set of functions implements (PID) controllers
+   * for Q15, Q31, and floating-point data types.  The functions operate on a single sample
+   * of data and each call to the function returns a single processed value.
+   * <code>S</code> points to an instance of the PID control data structure.  <code>in</code>
+   * is the input sample value. The functions return the output value.
+   *
+   * \par Algorithm:
+   * <pre>
+   *    y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]
+   *    A0 = Kp + Ki + Kd
+   *    A1 = (-Kp ) - (2 * Kd )
+   *    A2 = Kd
+   * </pre>
+   *
+   * \par
+   * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant
+   *
+   * \par
+   * \image html PID.gif "Proportional Integral Derivative Controller"
+   *
+   * \par
+   * The PID controller calculates an "error" value as the difference between
+   * the measured output and the reference input.
+   * The controller attempts to minimize the error by adjusting the process control inputs.
+   * The proportional value determines the reaction to the current error,
+   * the integral value determines the reaction based on the sum of recent errors,
+   * and the derivative value determines the reaction based on the rate at which the error has been changing.
+   *
+   * \par Instance Structure
+   * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure.
+   * A separate instance structure must be defined for each PID Controller.
+   * There are separate instance structure declarations for each of the 3 supported data types.
+   *
+   * \par Reset Functions
+   * There is also an associated reset function for each data type which clears the state array.
+   *
+   * \par Initialization Functions
+   * There is also an associated initialization function for each data type.
+   * The initialization function performs the following operations:
+   * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains.
+   * - Zeros out the values in the state buffer.
+   *
+   * \par
+   * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.
+   *
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the fixed-point versions of the PID Controller functions.
+   * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup PID
+   * @{
+   */
+
+  /**
+   * @brief         Process function for the floating-point PID Control.
+   * @param[in,out] S   is an instance of the floating-point PID Control structure
+   * @param[in]     in  input sample to process
+   * @return        processed output sample.
+   */
+  __STATIC_FORCEINLINE float32_t arm_pid_f32(
+  arm_pid_instance_f32 * S,
+  float32_t in)
+  {
+    float32_t out;
+
+    /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2]  */
+    out = (S->A0 * in) +
+      (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]);
+
+    /* Update state */
+    S->state[1] = S->state[0];
+    S->state[0] = in;
+    S->state[2] = out;
+
+    /* return to application */
+    return (out);
+
+  }
+
+/**
+  @brief         Process function for the Q31 PID Control.
+  @param[in,out] S  points to an instance of the Q31 PID Control structure
+  @param[in]     in  input sample to process
+  @return        processed output sample.
+
+  \par Scaling and Overflow Behavior
+         The function is implemented using an internal 64-bit accumulator.
+         The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+         Thus, if the accumulator result overflows it wraps around rather than clip.
+         In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions.
+         After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.
+ */
+__STATIC_FORCEINLINE q31_t arm_pid_q31(
+  arm_pid_instance_q31 * S,
+  q31_t in)
+  {
+    q63_t acc;
+    q31_t out;
+
+    /* acc = A0 * x[n]  */
+    acc = (q63_t) S->A0 * in;
+
+    /* acc += A1 * x[n-1] */
+    acc += (q63_t) S->A1 * S->state[0];
+
+    /* acc += A2 * x[n-2]  */
+    acc += (q63_t) S->A2 * S->state[1];
+
+    /* convert output to 1.31 format to add y[n-1] */
+    out = (q31_t) (acc >> 31U);
+
+    /* out += y[n-1] */
+    out += S->state[2];
+
+    /* Update state */
+    S->state[1] = S->state[0];
+    S->state[0] = in;
+    S->state[2] = out;
+
+    /* return to application */
+    return (out);
+  }
+
+
+/**
+  @brief         Process function for the Q15 PID Control.
+  @param[in,out] S   points to an instance of the Q15 PID Control structure
+  @param[in]     in  input sample to process
+  @return        processed output sample.
+
+  \par Scaling and Overflow Behavior
+         The function is implemented using a 64-bit internal accumulator.
+         Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+         The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+         There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+         After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+         Lastly, the accumulator is saturated to yield a result in 1.15 format.
+ */
+__STATIC_FORCEINLINE q15_t arm_pid_q15(
+  arm_pid_instance_q15 * S,
+  q15_t in)
+  {
+    q63_t acc;
+    q15_t out;
+
+#if defined (ARM_MATH_DSP)
+    /* Implementation of PID controller */
+
+    /* acc = A0 * x[n]  */
+    acc = (q31_t) __SMUAD((uint32_t)S->A0, (uint32_t)in);
+
+    /* acc += A1 * x[n-1] + A2 * x[n-2]  */
+    acc = (q63_t)__SMLALD((uint32_t)S->A1, (uint32_t)read_q15x2 (S->state), (uint64_t)acc);
+#else
+    /* acc = A0 * x[n]  */
+    acc = ((q31_t) S->A0) * in;
+
+    /* acc += A1 * x[n-1] + A2 * x[n-2]  */
+    acc += (q31_t) S->A1 * S->state[0];
+    acc += (q31_t) S->A2 * S->state[1];
+#endif
+
+    /* acc += y[n-1] */
+    acc += (q31_t) S->state[2] << 15;
+
+    /* saturate the output */
+    out = (q15_t) (__SSAT((acc >> 15), 16));
+
+    /* Update state */
+    S->state[1] = S->state[0];
+    S->state[0] = in;
+    S->state[2] = out;
+
+    /* return to application */
+    return (out);
+  }
+
+  /**
+   * @} end of PID group
+   */
+
+
+  /**
+   * @brief Floating-point matrix inverse.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] dst   points to the instance of the output floating-point matrix structure.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+   */
+  arm_status arm_mat_inverse_f32(
+  const arm_matrix_instance_f32 * src,
+  arm_matrix_instance_f32 * dst);
+
+
+  /**
+   * @brief Floating-point matrix inverse.
+   * @param[in]  src   points to the instance of the input floating-point matrix structure.
+   * @param[out] dst   points to the instance of the output floating-point matrix structure.
+   * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+   * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+   */
+  arm_status arm_mat_inverse_f64(
+  const arm_matrix_instance_f64 * src,
+  arm_matrix_instance_f64 * dst);
+
+
+
+  /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup clarke Vector Clarke Transform
+   * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector.
+   * Generally the Clarke transform uses three-phase currents <code>Ia, Ib and Ic</code> to calculate currents
+   * in the two-phase orthogonal stator axis <code>Ialpha</code> and <code>Ibeta</code>.
+   * When <code>Ialpha</code> is superposed with <code>Ia</code> as shown in the figure below
+   * \image html clarke.gif Stator current space vector and its components in (a,b).
+   * and <code>Ia + Ib + Ic = 0</code>, in this condition <code>Ialpha</code> and <code>Ibeta</code>
+   * can be calculated using only <code>Ia</code> and <code>Ib</code>.
+   *
+   * The function operates on a single sample of data and each call to the function returns the processed output.
+   * The library provides separate functions for Q31 and floating-point data types.
+   * \par Algorithm
+   * \image html clarkeFormula.gif
+   * where <code>Ia</code> and <code>Ib</code> are the instantaneous stator phases and
+   * <code>pIalpha</code> and <code>pIbeta</code> are the two coordinates of time invariant vector.
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the Q31 version of the Clarke transform.
+   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup clarke
+   * @{
+   */
+
+  /**
+   *
+   * @brief  Floating-point Clarke transform
+   * @param[in]  Ia       input three-phase coordinate <code>a</code>
+   * @param[in]  Ib       input three-phase coordinate <code>b</code>
+   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+   * @return        none
+   */
+  __STATIC_FORCEINLINE void arm_clarke_f32(
+  float32_t Ia,
+  float32_t Ib,
+  float32_t * pIalpha,
+  float32_t * pIbeta)
+  {
+    /* Calculate pIalpha using the equation, pIalpha = Ia */
+    *pIalpha = Ia;
+
+    /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */
+    *pIbeta = ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib);
+  }
+
+
+/**
+  @brief  Clarke transform for Q31 version
+  @param[in]  Ia       input three-phase coordinate <code>a</code>
+  @param[in]  Ib       input three-phase coordinate <code>b</code>
+  @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+  @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+  @return     none
+
+  \par Scaling and Overflow Behavior
+         The function is implemented using an internal 32-bit accumulator.
+         The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+         There is saturation on the addition, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_clarke_q31(
+  q31_t Ia,
+  q31_t Ib,
+  q31_t * pIalpha,
+  q31_t * pIbeta)
+  {
+    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
+
+    /* Calculating pIalpha from Ia by equation pIalpha = Ia */
+    *pIalpha = Ia;
+
+    /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */
+    product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30);
+
+    /* Intermediate product is calculated by (2/sqrt(3) * Ib) */
+    product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30);
+
+    /* pIbeta is calculated by adding the intermediate products */
+    *pIbeta = __QADD(product1, product2);
+  }
+
+  /**
+   * @} end of clarke group
+   */
+
+
+  /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup inv_clarke Vector Inverse Clarke Transform
+   * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.
+   *
+   * The function operates on a single sample of data and each call to the function returns the processed output.
+   * The library provides separate functions for Q31 and floating-point data types.
+   * \par Algorithm
+   * \image html clarkeInvFormula.gif
+   * where <code>pIa</code> and <code>pIb</code> are the instantaneous stator phases and
+   * <code>Ialpha</code> and <code>Ibeta</code> are the two coordinates of time invariant vector.
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the Q31 version of the Clarke transform.
+   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup inv_clarke
+   * @{
+   */
+
+   /**
+   * @brief  Floating-point Inverse Clarke transform
+   * @param[in]  Ialpha  input two-phase orthogonal vector axis alpha
+   * @param[in]  Ibeta   input two-phase orthogonal vector axis beta
+   * @param[out] pIa     points to output three-phase coordinate <code>a</code>
+   * @param[out] pIb     points to output three-phase coordinate <code>b</code>
+   * @return     none
+   */
+  __STATIC_FORCEINLINE void arm_inv_clarke_f32(
+  float32_t Ialpha,
+  float32_t Ibeta,
+  float32_t * pIa,
+  float32_t * pIb)
+  {
+    /* Calculating pIa from Ialpha by equation pIa = Ialpha */
+    *pIa = Ialpha;
+
+    /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */
+    *pIb = -0.5f * Ialpha + 0.8660254039f * Ibeta;
+  }
+
+
+/**
+  @brief  Inverse Clarke transform for Q31 version
+  @param[in]  Ialpha  input two-phase orthogonal vector axis alpha
+  @param[in]  Ibeta   input two-phase orthogonal vector axis beta
+  @param[out] pIa     points to output three-phase coordinate <code>a</code>
+  @param[out] pIb     points to output three-phase coordinate <code>b</code>
+  @return     none
+
+  \par Scaling and Overflow Behavior
+         The function is implemented using an internal 32-bit accumulator.
+         The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+         There is saturation on the subtraction, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_inv_clarke_q31(
+  q31_t Ialpha,
+  q31_t Ibeta,
+  q31_t * pIa,
+  q31_t * pIb)
+  {
+    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
+
+    /* Calculating pIa from Ialpha by equation pIa = Ialpha */
+    *pIa = Ialpha;
+
+    /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */
+    product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31);
+
+    /* Intermediate product is calculated by (1/sqrt(3) * pIb) */
+    product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31);
+
+    /* pIb is calculated by subtracting the products */
+    *pIb = __QSUB(product2, product1);
+  }
+
+  /**
+   * @} end of inv_clarke group
+   */
+
+
+
+  /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup park Vector Park Transform
+   *
+   * Forward Park transform converts the input two-coordinate vector to flux and torque components.
+   * The Park transform can be used to realize the transformation of the <code>Ialpha</code> and the <code>Ibeta</code> currents
+   * from the stationary to the moving reference frame and control the spatial relationship between
+   * the stator vector current and rotor flux vector.
+   * If we consider the d axis aligned with the rotor flux, the diagram below shows the
+   * current vector and the relationship from the two reference frames:
+   * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame"
+   *
+   * The function operates on a single sample of data and each call to the function returns the processed output.
+   * The library provides separate functions for Q31 and floating-point data types.
+   * \par Algorithm
+   * \image html parkFormula.gif
+   * where <code>Ialpha</code> and <code>Ibeta</code> are the stator vector components,
+   * <code>pId</code> and <code>pIq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> are the
+   * cosine and sine values of theta (rotor flux position).
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the Q31 version of the Park transform.
+   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup park
+   * @{
+   */
+
+  /**
+   * @brief Floating-point Park transform
+   * @param[in]  Ialpha  input two-phase vector coordinate alpha
+   * @param[in]  Ibeta   input two-phase vector coordinate beta
+   * @param[out] pId     points to output   rotor reference frame d
+   * @param[out] pIq     points to output   rotor reference frame q
+   * @param[in]  sinVal  sine value of rotation angle theta
+   * @param[in]  cosVal  cosine value of rotation angle theta
+   * @return     none
+   *
+   * The function implements the forward Park transform.
+   *
+   */
+  __STATIC_FORCEINLINE void arm_park_f32(
+  float32_t Ialpha,
+  float32_t Ibeta,
+  float32_t * pId,
+  float32_t * pIq,
+  float32_t sinVal,
+  float32_t cosVal)
+  {
+    /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */
+    *pId = Ialpha * cosVal + Ibeta * sinVal;
+
+    /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */
+    *pIq = -Ialpha * sinVal + Ibeta * cosVal;
+  }
+
+
+/**
+  @brief  Park transform for Q31 version
+  @param[in]  Ialpha  input two-phase vector coordinate alpha
+  @param[in]  Ibeta   input two-phase vector coordinate beta
+  @param[out] pId     points to output rotor reference frame d
+  @param[out] pIq     points to output rotor reference frame q
+  @param[in]  sinVal  sine value of rotation angle theta
+  @param[in]  cosVal  cosine value of rotation angle theta
+  @return     none
+
+  \par Scaling and Overflow Behavior
+         The function is implemented using an internal 32-bit accumulator.
+         The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+         There is saturation on the addition and subtraction, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_park_q31(
+  q31_t Ialpha,
+  q31_t Ibeta,
+  q31_t * pId,
+  q31_t * pIq,
+  q31_t sinVal,
+  q31_t cosVal)
+  {
+    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
+    q31_t product3, product4;                    /* Temporary variables used to store intermediate results */
+
+    /* Intermediate product is calculated by (Ialpha * cosVal) */
+    product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31);
+
+    /* Intermediate product is calculated by (Ibeta * sinVal) */
+    product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31);
+
+
+    /* Intermediate product is calculated by (Ialpha * sinVal) */
+    product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31);
+
+    /* Intermediate product is calculated by (Ibeta * cosVal) */
+    product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31);
+
+    /* Calculate pId by adding the two intermediate products 1 and 2 */
+    *pId = __QADD(product1, product2);
+
+    /* Calculate pIq by subtracting the two intermediate products 3 from 4 */
+    *pIq = __QSUB(product4, product3);
+  }
+
+  /**
+   * @} end of park group
+   */
+
+
+  /**
+   * @ingroup groupController
+   */
+
+  /**
+   * @defgroup inv_park Vector Inverse Park transform
+   * Inverse Park transform converts the input flux and torque components to two-coordinate vector.
+   *
+   * The function operates on a single sample of data and each call to the function returns the processed output.
+   * The library provides separate functions for Q31 and floating-point data types.
+   * \par Algorithm
+   * \image html parkInvFormula.gif
+   * where <code>pIalpha</code> and <code>pIbeta</code> are the stator vector components,
+   * <code>Id</code> and <code>Iq</code> are rotor vector components and <code>cosVal</code> and <code>sinVal</code> are the
+   * cosine and sine values of theta (rotor flux position).
+   * \par Fixed-Point Behavior
+   * Care must be taken when using the Q31 version of the Park transform.
+   * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+   * Refer to the function specific documentation below for usage guidelines.
+   */
+
+  /**
+   * @addtogroup inv_park
+   * @{
+   */
+
+   /**
+   * @brief  Floating-point Inverse Park transform
+   * @param[in]  Id       input coordinate of rotor reference frame d
+   * @param[in]  Iq       input coordinate of rotor reference frame q
+   * @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+   * @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+   * @param[in]  sinVal   sine value of rotation angle theta
+   * @param[in]  cosVal   cosine value of rotation angle theta
+   * @return     none
+   */
+  __STATIC_FORCEINLINE void arm_inv_park_f32(
+  float32_t Id,
+  float32_t Iq,
+  float32_t * pIalpha,
+  float32_t * pIbeta,
+  float32_t sinVal,
+  float32_t cosVal)
+  {
+    /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */
+    *pIalpha = Id * cosVal - Iq * sinVal;
+
+    /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */
+    *pIbeta = Id * sinVal + Iq * cosVal;
+  }
+
+
+/**
+  @brief  Inverse Park transform for   Q31 version
+  @param[in]  Id       input coordinate of rotor reference frame d
+  @param[in]  Iq       input coordinate of rotor reference frame q
+  @param[out] pIalpha  points to output two-phase orthogonal vector axis alpha
+  @param[out] pIbeta   points to output two-phase orthogonal vector axis beta
+  @param[in]  sinVal   sine value of rotation angle theta
+  @param[in]  cosVal   cosine value of rotation angle theta
+  @return     none
+
+  @par Scaling and Overflow Behavior
+         The function is implemented using an internal 32-bit accumulator.
+         The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+         There is saturation on the addition, hence there is no risk of overflow.
+ */
+__STATIC_FORCEINLINE void arm_inv_park_q31(
+  q31_t Id,
+  q31_t Iq,
+  q31_t * pIalpha,
+  q31_t * pIbeta,
+  q31_t sinVal,
+  q31_t cosVal)
+  {
+    q31_t product1, product2;                    /* Temporary variables used to store intermediate results */
+    q31_t product3, product4;                    /* Temporary variables used to store intermediate results */
+
+    /* Intermediate product is calculated by (Id * cosVal) */
+    product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31);
+
+    /* Intermediate product is calculated by (Iq * sinVal) */
+    product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31);
+
+
+    /* Intermediate product is calculated by (Id * sinVal) */
+    product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31);
+
+    /* Intermediate product is calculated by (Iq * cosVal) */
+    product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31);
+
+    /* Calculate pIalpha by using the two intermediate products 1 and 2 */
+    *pIalpha = __QSUB(product1, product2);
+
+    /* Calculate pIbeta by using the two intermediate products 3 and 4 */
+    *pIbeta = __QADD(product4, product3);
+  }
+
+  /**
+   * @} end of Inverse park group
+   */
+
+
+  /**
+   * @ingroup groupInterpolation
+   */
+
+  /**
+   * @defgroup LinearInterpolate Linear Interpolation
+   *
+   * Linear interpolation is a method of curve fitting using linear polynomials.
+   * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line
+   *
+   * \par
+   * \image html LinearInterp.gif "Linear interpolation"
+   *
+   * \par
+   * A  Linear Interpolate function calculates an output value(y), for the input(x)
+   * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values)
+   *
+   * \par Algorithm:
+   * <pre>
+   *       y = y0 + (x - x0) * ((y1 - y0)/(x1-x0))
+   *       where x0, x1 are nearest values of input x
+   *             y0, y1 are nearest values to output y
+   * </pre>
+   *
+   * \par
+   * This set of functions implements Linear interpolation process
+   * for Q7, Q15, Q31, and floating-point data types.  The functions operate on a single
+   * sample of data and each call to the function returns a single processed value.
+   * <code>S</code> points to an instance of the Linear Interpolate function data structure.
+   * <code>x</code> is the input sample value. The functions returns the output value.
+   *
+   * \par
+   * if x is outside of the table boundary, Linear interpolation returns first value of the table
+   * if x is below input range and returns last value of table if x is above range.
+   */
+
+  /**
+   * @addtogroup LinearInterpolate
+   * @{
+   */
+
+  /**
+   * @brief  Process function for the floating-point Linear Interpolation Function.
+   * @param[in,out] S  is an instance of the floating-point Linear Interpolation structure
+   * @param[in]     x  input sample to process
+   * @return y processed output sample.
+   *
+   */
+  __STATIC_FORCEINLINE float32_t arm_linear_interp_f32(
+  arm_linear_interp_instance_f32 * S,
+  float32_t x)
+  {
+    float32_t y;
+    float32_t x0, x1;                            /* Nearest input values */
+    float32_t y0, y1;                            /* Nearest output values */
+    float32_t xSpacing = S->xSpacing;            /* spacing between input values */
+    int32_t i;                                   /* Index variable */
+    float32_t *pYData = S->pYData;               /* pointer to output table */
+
+    /* Calculation of index */
+    i = (int32_t) ((x - S->x1) / xSpacing);
+
+    if (i < 0)
+    {
+      /* Iniatilize output for below specified range as least output value of table */
+      y = pYData[0];
+    }
+    else if ((uint32_t)i >= S->nValues)
+    {
+      /* Iniatilize output for above specified range as last output value of table */
+      y = pYData[S->nValues - 1];
+    }
+    else
+    {
+      /* Calculation of nearest input values */
+      x0 = S->x1 +  i      * xSpacing;
+      x1 = S->x1 + (i + 1) * xSpacing;
+
+      /* Read of nearest output values */
+      y0 = pYData[i];
+      y1 = pYData[i + 1];
+
+      /* Calculation of output */
+      y = y0 + (x - x0) * ((y1 - y0) / (x1 - x0));
+
+    }
+
+    /* returns output value */
+    return (y);
+  }
+
+
+   /**
+   *
+   * @brief  Process function for the Q31 Linear Interpolation Function.
+   * @param[in] pYData   pointer to Q31 Linear Interpolation table
+   * @param[in] x        input sample to process
+   * @param[in] nValues  number of table values
+   * @return y processed output sample.
+   *
+   * \par
+   * Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+   * This function can support maximum of table size 2^12.
+   *
+   */
+  __STATIC_FORCEINLINE q31_t arm_linear_interp_q31(
+  q31_t * pYData,
+  q31_t x,
+  uint32_t nValues)
+  {
+    q31_t y;                                     /* output */
+    q31_t y0, y1;                                /* Nearest output values */
+    q31_t fract;                                 /* fractional part */
+    int32_t index;                               /* Index to read nearest output values */
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    index = ((x & (q31_t)0xFFF00000) >> 20);
+
+    if (index >= (int32_t)(nValues - 1))
+    {
+      return (pYData[nValues - 1]);
+    }
+    else if (index < 0)
+    {
+      return (pYData[0]);
+    }
+    else
+    {
+      /* 20 bits for the fractional part */
+      /* shift left by 11 to keep fract in 1.31 format */
+      fract = (x & 0x000FFFFF) << 11;
+
+      /* Read two nearest output values from the index in 1.31(q31) format */
+      y0 = pYData[index];
+      y1 = pYData[index + 1];
+
+      /* Calculation of y0 * (1-fract) and y is in 2.30 format */
+      y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32));
+
+      /* Calculation of y0 * (1-fract) + y1 *fract and y is in 2.30 format */
+      y += ((q31_t) (((q63_t) y1 * fract) >> 32));
+
+      /* Convert y to 1.31 format */
+      return (y << 1U);
+    }
+  }
+
+
+  /**
+   *
+   * @brief  Process function for the Q15 Linear Interpolation Function.
+   * @param[in] pYData   pointer to Q15 Linear Interpolation table
+   * @param[in] x        input sample to process
+   * @param[in] nValues  number of table values
+   * @return y processed output sample.
+   *
+   * \par
+   * Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+   * This function can support maximum of table size 2^12.
+   *
+   */
+  __STATIC_FORCEINLINE q15_t arm_linear_interp_q15(
+  q15_t * pYData,
+  q31_t x,
+  uint32_t nValues)
+  {
+    q63_t y;                                     /* output */
+    q15_t y0, y1;                                /* Nearest output values */
+    q31_t fract;                                 /* fractional part */
+    int32_t index;                               /* Index to read nearest output values */
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    index = ((x & (int32_t)0xFFF00000) >> 20);
+
+    if (index >= (int32_t)(nValues - 1))
+    {
+      return (pYData[nValues - 1]);
+    }
+    else if (index < 0)
+    {
+      return (pYData[0]);
+    }
+    else
+    {
+      /* 20 bits for the fractional part */
+      /* fract is in 12.20 format */
+      fract = (x & 0x000FFFFF);
+
+      /* Read two nearest output values from the index */
+      y0 = pYData[index];
+      y1 = pYData[index + 1];
+
+      /* Calculation of y0 * (1-fract) and y is in 13.35 format */
+      y = ((q63_t) y0 * (0xFFFFF - fract));
+
+      /* Calculation of (y0 * (1-fract) + y1 * fract) and y is in 13.35 format */
+      y += ((q63_t) y1 * (fract));
+
+      /* convert y to 1.15 format */
+      return (q15_t) (y >> 20);
+    }
+  }
+
+
+  /**
+   *
+   * @brief  Process function for the Q7 Linear Interpolation Function.
+   * @param[in] pYData   pointer to Q7 Linear Interpolation table
+   * @param[in] x        input sample to process
+   * @param[in] nValues  number of table values
+   * @return y processed output sample.
+   *
+   * \par
+   * Input sample <code>x</code> is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+   * This function can support maximum of table size 2^12.
+   */
+  __STATIC_FORCEINLINE q7_t arm_linear_interp_q7(
+  q7_t * pYData,
+  q31_t x,
+  uint32_t nValues)
+  {
+    q31_t y;                                     /* output */
+    q7_t y0, y1;                                 /* Nearest output values */
+    q31_t fract;                                 /* fractional part */
+    uint32_t index;                              /* Index to read nearest output values */
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    if (x < 0)
+    {
+      return (pYData[0]);
+    }
+    index = (x >> 20) & 0xfff;
+
+    if (index >= (nValues - 1))
+    {
+      return (pYData[nValues - 1]);
+    }
+    else
+    {
+      /* 20 bits for the fractional part */
+      /* fract is in 12.20 format */
+      fract = (x & 0x000FFFFF);
+
+      /* Read two nearest output values from the index and are in 1.7(q7) format */
+      y0 = pYData[index];
+      y1 = pYData[index + 1];
+
+      /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */
+      y = ((y0 * (0xFFFFF - fract)));
+
+      /* Calculation of y1 * fract + y0 * (1-fract) and y is in 13.27(q27) format */
+      y += (y1 * fract);
+
+      /* convert y to 1.7(q7) format */
+      return (q7_t) (y >> 20);
+     }
+  }
+
+  /**
+   * @} end of LinearInterpolate group
+   */
+
+  /**
+   * @brief  Fast approximation to the trigonometric sine function for floating-point data.
+   * @param[in] x  input value in radians.
+   * @return  sin(x).
+   */
+  float32_t arm_sin_f32(
+  float32_t x);
+
+
+  /**
+   * @brief  Fast approximation to the trigonometric sine function for Q31 data.
+   * @param[in] x  Scaled input value in radians.
+   * @return  sin(x).
+   */
+  q31_t arm_sin_q31(
+  q31_t x);
+
+
+  /**
+   * @brief  Fast approximation to the trigonometric sine function for Q15 data.
+   * @param[in] x  Scaled input value in radians.
+   * @return  sin(x).
+   */
+  q15_t arm_sin_q15(
+  q15_t x);
+
+
+  /**
+   * @brief  Fast approximation to the trigonometric cosine function for floating-point data.
+   * @param[in] x  input value in radians.
+   * @return  cos(x).
+   */
+  float32_t arm_cos_f32(
+  float32_t x);
+
+
+  /**
+   * @brief Fast approximation to the trigonometric cosine function for Q31 data.
+   * @param[in] x  Scaled input value in radians.
+   * @return  cos(x).
+   */
+  q31_t arm_cos_q31(
+  q31_t x);
+
+
+  /**
+   * @brief  Fast approximation to the trigonometric cosine function for Q15 data.
+   * @param[in] x  Scaled input value in radians.
+   * @return  cos(x).
+   */
+  q15_t arm_cos_q15(
+  q15_t x);
+
+
+  /**
+   * @ingroup groupFastMath
+   */
+
+
+  /**
+   * @defgroup SQRT Square Root
+   *
+   * Computes the square root of a number.
+   * There are separate functions for Q15, Q31, and floating-point data types.
+   * The square root function is computed using the Newton-Raphson algorithm.
+   * This is an iterative algorithm of the form:
+   * <pre>
+   *      x1 = x0 - f(x0)/f'(x0)
+   * </pre>
+   * where <code>x1</code> is the current estimate,
+   * <code>x0</code> is the previous estimate, and
+   * <code>f'(x0)</code> is the derivative of <code>f()</code> evaluated at <code>x0</code>.
+   * For the square root function, the algorithm reduces to:
+   * <pre>
+   *     x0 = in/2                         [initial guess]
+   *     x1 = 1/2 * ( x0 + in / x0)        [each iteration]
+   * </pre>
+   */
+
+
+  /**
+   * @addtogroup SQRT
+   * @{
+   */
+
+/**
+  @brief         Floating-point square root function.
+  @param[in]     in    input value
+  @param[out]    pOut  square root of input value
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : input value is positive
+                   - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0
+ */
+__STATIC_FORCEINLINE arm_status arm_sqrt_f32(
+  float32_t in,
+  float32_t * pOut)
+  {
+    if (in >= 0.0f)
+    {
+#if defined ( __CC_ARM )
+  #if defined __TARGET_FPU_VFP
+      *pOut = __sqrtf(in);
+  #else
+      *pOut = sqrtf(in);
+  #endif
+
+#elif defined ( __ICCARM__ )
+  #if defined __ARMVFP__
+      __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in));
+  #else
+      *pOut = sqrtf(in);
+  #endif
+
+#else
+      *pOut = sqrtf(in);
+#endif
+
+      return (ARM_MATH_SUCCESS);
+    }
+    else
+    {
+      *pOut = 0.0f;
+      return (ARM_MATH_ARGUMENT_ERROR);
+    }
+  }
+
+
+/**
+  @brief         Q31 square root function.
+  @param[in]     in    input value.  The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF
+  @param[out]    pOut  points to square root of input value
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : input value is positive
+                   - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0
+ */
+arm_status arm_sqrt_q31(
+  q31_t in,
+  q31_t * pOut);
+
+
+/**
+  @brief         Q15 square root function.
+  @param[in]     in    input value.  The range of the input value is [0 +1) or 0x0000 to 0x7FFF
+  @param[out]    pOut  points to square root of input value
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : input value is positive
+                   - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0
+ */
+arm_status arm_sqrt_q15(
+  q15_t in,
+  q15_t * pOut);
+
+  /**
+   * @brief  Vector Floating-point square root function.
+   * @param[in]  pIn   input vector.
+   * @param[out] pOut  vector of square roots of input elements.
+   * @param[in]  len   length of input vector.
+   * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
+   * <code>in</code> is negative value and returns zero output for negative values.
+   */
+  void arm_vsqrt_f32(
+  float32_t * pIn,
+  float32_t * pOut,
+  uint16_t len);
+
+  void arm_vsqrt_q31(
+  q31_t * pIn,
+  q31_t * pOut,
+  uint16_t len);
+
+  void arm_vsqrt_q15(
+  q15_t * pIn,
+  q15_t * pOut,
+  uint16_t len);
+
+  /**
+   * @} end of SQRT group
+   */
+
+
+  /**
+   * @brief floating-point Circular write function.
+   */
+  __STATIC_FORCEINLINE void arm_circularWrite_f32(
+  int32_t * circBuffer,
+  int32_t L,
+  uint16_t * writeOffset,
+  int32_t bufferInc,
+  const int32_t * src,
+  int32_t srcInc,
+  uint32_t blockSize)
+  {
+    uint32_t i = 0U;
+    int32_t wOffset;
+
+    /* Copy the value of Index pointer that points
+     * to the current location where the input samples to be copied */
+    wOffset = *writeOffset;
+
+    /* Loop over the blockSize */
+    i = blockSize;
+
+    while (i > 0U)
+    {
+      /* copy the input sample to the circular buffer */
+      circBuffer[wOffset] = *src;
+
+      /* Update the input pointer */
+      src += srcInc;
+
+      /* Circularly update wOffset.  Watch out for positive and negative value */
+      wOffset += bufferInc;
+      if (wOffset >= L)
+        wOffset -= L;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Update the index pointer */
+    *writeOffset = (uint16_t)wOffset;
+  }
+
+
+
+  /**
+   * @brief floating-point Circular Read function.
+   */
+  __STATIC_FORCEINLINE void arm_circularRead_f32(
+  int32_t * circBuffer,
+  int32_t L,
+  int32_t * readOffset,
+  int32_t bufferInc,
+  int32_t * dst,
+  int32_t * dst_base,
+  int32_t dst_length,
+  int32_t dstInc,
+  uint32_t blockSize)
+  {
+    uint32_t i = 0U;
+    int32_t rOffset;
+    int32_t* dst_end;
+
+    /* Copy the value of Index pointer that points
+     * to the current location from where the input samples to be read */
+    rOffset = *readOffset;
+    dst_end = dst_base + dst_length;
+
+    /* Loop over the blockSize */
+    i = blockSize;
+
+    while (i > 0U)
+    {
+      /* copy the sample from the circular buffer to the destination buffer */
+      *dst = circBuffer[rOffset];
+
+      /* Update the input pointer */
+      dst += dstInc;
+
+      if (dst == dst_end)
+      {
+        dst = dst_base;
+      }
+
+      /* Circularly update rOffset.  Watch out for positive and negative value  */
+      rOffset += bufferInc;
+
+      if (rOffset >= L)
+      {
+        rOffset -= L;
+      }
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Update the index pointer */
+    *readOffset = rOffset;
+  }
+
+
+  /**
+   * @brief Q15 Circular write function.
+   */
+  __STATIC_FORCEINLINE void arm_circularWrite_q15(
+  q15_t * circBuffer,
+  int32_t L,
+  uint16_t * writeOffset,
+  int32_t bufferInc,
+  const q15_t * src,
+  int32_t srcInc,
+  uint32_t blockSize)
+  {
+    uint32_t i = 0U;
+    int32_t wOffset;
+
+    /* Copy the value of Index pointer that points
+     * to the current location where the input samples to be copied */
+    wOffset = *writeOffset;
+
+    /* Loop over the blockSize */
+    i = blockSize;
+
+    while (i > 0U)
+    {
+      /* copy the input sample to the circular buffer */
+      circBuffer[wOffset] = *src;
+
+      /* Update the input pointer */
+      src += srcInc;
+
+      /* Circularly update wOffset.  Watch out for positive and negative value */
+      wOffset += bufferInc;
+      if (wOffset >= L)
+        wOffset -= L;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Update the index pointer */
+    *writeOffset = (uint16_t)wOffset;
+  }
+
+
+  /**
+   * @brief Q15 Circular Read function.
+   */
+  __STATIC_FORCEINLINE void arm_circularRead_q15(
+  q15_t * circBuffer,
+  int32_t L,
+  int32_t * readOffset,
+  int32_t bufferInc,
+  q15_t * dst,
+  q15_t * dst_base,
+  int32_t dst_length,
+  int32_t dstInc,
+  uint32_t blockSize)
+  {
+    uint32_t i = 0;
+    int32_t rOffset;
+    q15_t* dst_end;
+
+    /* Copy the value of Index pointer that points
+     * to the current location from where the input samples to be read */
+    rOffset = *readOffset;
+
+    dst_end = dst_base + dst_length;
+
+    /* Loop over the blockSize */
+    i = blockSize;
+
+    while (i > 0U)
+    {
+      /* copy the sample from the circular buffer to the destination buffer */
+      *dst = circBuffer[rOffset];
+
+      /* Update the input pointer */
+      dst += dstInc;
+
+      if (dst == dst_end)
+      {
+        dst = dst_base;
+      }
+
+      /* Circularly update wOffset.  Watch out for positive and negative value */
+      rOffset += bufferInc;
+
+      if (rOffset >= L)
+      {
+        rOffset -= L;
+      }
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Update the index pointer */
+    *readOffset = rOffset;
+  }
+
+
+  /**
+   * @brief Q7 Circular write function.
+   */
+  __STATIC_FORCEINLINE void arm_circularWrite_q7(
+  q7_t * circBuffer,
+  int32_t L,
+  uint16_t * writeOffset,
+  int32_t bufferInc,
+  const q7_t * src,
+  int32_t srcInc,
+  uint32_t blockSize)
+  {
+    uint32_t i = 0U;
+    int32_t wOffset;
+
+    /* Copy the value of Index pointer that points
+     * to the current location where the input samples to be copied */
+    wOffset = *writeOffset;
+
+    /* Loop over the blockSize */
+    i = blockSize;
+
+    while (i > 0U)
+    {
+      /* copy the input sample to the circular buffer */
+      circBuffer[wOffset] = *src;
+
+      /* Update the input pointer */
+      src += srcInc;
+
+      /* Circularly update wOffset.  Watch out for positive and negative value */
+      wOffset += bufferInc;
+      if (wOffset >= L)
+        wOffset -= L;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Update the index pointer */
+    *writeOffset = (uint16_t)wOffset;
+  }
+
+
+  /**
+   * @brief Q7 Circular Read function.
+   */
+  __STATIC_FORCEINLINE void arm_circularRead_q7(
+  q7_t * circBuffer,
+  int32_t L,
+  int32_t * readOffset,
+  int32_t bufferInc,
+  q7_t * dst,
+  q7_t * dst_base,
+  int32_t dst_length,
+  int32_t dstInc,
+  uint32_t blockSize)
+  {
+    uint32_t i = 0;
+    int32_t rOffset;
+    q7_t* dst_end;
+
+    /* Copy the value of Index pointer that points
+     * to the current location from where the input samples to be read */
+    rOffset = *readOffset;
+
+    dst_end = dst_base + dst_length;
+
+    /* Loop over the blockSize */
+    i = blockSize;
+
+    while (i > 0U)
+    {
+      /* copy the sample from the circular buffer to the destination buffer */
+      *dst = circBuffer[rOffset];
+
+      /* Update the input pointer */
+      dst += dstInc;
+
+      if (dst == dst_end)
+      {
+        dst = dst_base;
+      }
+
+      /* Circularly update rOffset.  Watch out for positive and negative value */
+      rOffset += bufferInc;
+
+      if (rOffset >= L)
+      {
+        rOffset -= L;
+      }
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Update the index pointer */
+    *readOffset = rOffset;
+  }
+
+
+  /**
+   * @brief  Sum of the squares of the elements of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q63_t * pResult);
+
+
+  /**
+   * @brief  Sum of the squares of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+
+  /**
+   * @brief  Sum of the squares of the elements of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q63_t * pResult);
+
+
+  /**
+   * @brief  Sum of the squares of the elements of a Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_power_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+
+  /**
+   * @brief  Mean value of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_mean_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+
+  /**
+   * @brief  Variance of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_var_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+
+  /**
+   * @brief  Variance of the elements of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_var_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+
+  /**
+   * @brief  Variance of the elements of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_var_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult);
+
+
+  /**
+   * @brief  Root Mean Square of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_rms_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+
+  /**
+   * @brief  Root Mean Square of the elements of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_rms_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+
+  /**
+   * @brief  Root Mean Square of the elements of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_rms_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult);
+
+
+  /**
+   * @brief  Standard deviation of the elements of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_std_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult);
+
+
+  /**
+   * @brief  Standard deviation of the elements of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_std_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult);
+
+
+  /**
+   * @brief  Standard deviation of the elements of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output value.
+   */
+  void arm_std_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult);
+
+
+  /**
+   * @brief  Floating-point complex magnitude
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q31 complex magnitude
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q15 complex magnitude
+   * @param[in]  pSrc        points to the complex input vector
+   * @param[out] pDst        points to the real output vector
+   * @param[in]  numSamples  number of complex samples in the input vector
+   */
+  void arm_cmplx_mag_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q15 complex dot product
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
+  void arm_cmplx_dot_prod_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        uint32_t numSamples,
+        q31_t * realResult,
+        q31_t * imagResult);
+
+
+  /**
+   * @brief  Q31 complex dot product
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
+  void arm_cmplx_dot_prod_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        uint32_t numSamples,
+        q63_t * realResult,
+        q63_t * imagResult);
+
+
+  /**
+   * @brief  Floating-point complex dot product
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   * @param[out] realResult  real part of the result returned here
+   * @param[out] imagResult  imaginary part of the result returned here
+   */
+  void arm_cmplx_dot_prod_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        uint32_t numSamples,
+        float32_t * realResult,
+        float32_t * imagResult);
+
+
+  /**
+   * @brief  Q15 complex-by-real multiplication
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
+  void arm_cmplx_mult_real_q15(
+  const q15_t * pSrcCmplx,
+  const q15_t * pSrcReal,
+        q15_t * pCmplxDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q31 complex-by-real multiplication
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
+  void arm_cmplx_mult_real_q31(
+  const q31_t * pSrcCmplx,
+  const q31_t * pSrcReal,
+        q31_t * pCmplxDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Floating-point complex-by-real multiplication
+   * @param[in]  pSrcCmplx   points to the complex input vector
+   * @param[in]  pSrcReal    points to the real input vector
+   * @param[out] pCmplxDst   points to the complex output vector
+   * @param[in]  numSamples  number of samples in each vector
+   */
+  void arm_cmplx_mult_real_f32(
+  const float32_t * pSrcCmplx,
+  const float32_t * pSrcReal,
+        float32_t * pCmplxDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Minimum value of a Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] result     is output pointer
+   * @param[in]  index      is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * result,
+        uint32_t * index);
+
+
+  /**
+   * @brief  Minimum value of a Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[in]  pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult,
+        uint32_t * pIndex);
+
+
+  /**
+   * @brief  Minimum value of a Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult,
+        uint32_t * pIndex);
+
+
+  /**
+   * @brief  Minimum value of a floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[in]  blockSize  is the number of samples to process
+   * @param[out] pResult    is output pointer
+   * @param[out] pIndex     is the array index of the minimum value in the input buffer.
+   */
+  void arm_min_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult,
+        uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a Q7 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * pResult,
+        uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a Q15 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult,
+        uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a Q31 vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult,
+        uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a floating-point vector.
+ * @param[in]  pSrc       points to the input buffer
+ * @param[in]  blockSize  length of the input vector
+ * @param[out] pResult    maximum value returned here
+ * @param[out] pIndex     index of maximum value returned here
+ */
+  void arm_max_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult,
+        uint32_t * pIndex);
+
+
+  /**
+   * @brief  Q15 complex-by-complex multiplication
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_mult_cmplx_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        q15_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Q31 complex-by-complex multiplication
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_mult_cmplx_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        q31_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief  Floating-point complex-by-complex multiplication
+   * @param[in]  pSrcA       points to the first input vector
+   * @param[in]  pSrcB       points to the second input vector
+   * @param[out] pDst        points to the output vector
+   * @param[in]  numSamples  number of complex samples in each vector
+   */
+  void arm_cmplx_mult_cmplx_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        float32_t * pDst,
+        uint32_t numSamples);
+
+
+  /**
+   * @brief Converts the elements of the floating-point vector to Q31 vector.
+   * @param[in]  pSrc       points to the floating-point input vector
+   * @param[out] pDst       points to the Q31 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+  void arm_float_to_q31(
+  const float32_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Converts the elements of the floating-point vector to Q15 vector.
+   * @param[in]  pSrc       points to the floating-point input vector
+   * @param[out] pDst       points to the Q15 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+  void arm_float_to_q15(
+  const float32_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief Converts the elements of the floating-point vector to Q7 vector.
+   * @param[in]  pSrc       points to the floating-point input vector
+   * @param[out] pDst       points to the Q7 output vector
+   * @param[in]  blockSize  length of the input vector
+   */
+  void arm_float_to_q7(
+  const float32_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q31 vector to floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q31_to_float(
+  const q31_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q31 vector to Q15 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q31_to_q15(
+  const q31_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q31 vector to Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q31_to_q7(
+  const q31_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q15 vector to floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q15_to_float(
+  const q15_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q15 vector to Q31 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q15_to_q31(
+  const q15_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q15 vector to Q7 vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q15_to_q7(
+  const q15_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q7 vector to floating-point vector.
+   * @param[in]  pSrc       is input pointer
+   * @param[out] pDst       is output pointer
+   * @param[in]  blockSize  is the number of samples to process
+   */
+  void arm_q7_to_float(
+  const q7_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q7 vector to Q31 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_q7_to_q31(
+  const q7_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @brief  Converts the elements of the Q7 vector to Q15 vector.
+   * @param[in]  pSrc       input pointer
+   * @param[out] pDst       output pointer
+   * @param[in]  blockSize  number of samples to process
+   */
+  void arm_q7_to_q15(
+  const q7_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize);
+
+
+  /**
+   * @ingroup groupInterpolation
+   */
+
+  /**
+   * @defgroup BilinearInterpolate Bilinear Interpolation
+   *
+   * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid.
+   * The underlying function <code>f(x, y)</code> is sampled on a regular grid and the interpolation process
+   * determines values between the grid points.
+   * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension.
+   * Bilinear interpolation is often used in image processing to rescale images.
+   * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types.
+   *
+   * <b>Algorithm</b>
+   * \par
+   * The instance structure used by the bilinear interpolation functions describes a two dimensional data table.
+   * For floating-point, the instance structure is defined as:
+   * <pre>
+   *   typedef struct
+   *   {
+   *     uint16_t numRows;
+   *     uint16_t numCols;
+   *     float32_t *pData;
+   * } arm_bilinear_interp_instance_f32;
+   * </pre>
+   *
+   * \par
+   * where <code>numRows</code> specifies the number of rows in the table;
+   * <code>numCols</code> specifies the number of columns in the table;
+   * and <code>pData</code> points to an array of size <code>numRows*numCols</code> values.
+   * The data table <code>pTable</code> is organized in row order and the supplied data values fall on integer indexes.
+   * That is, table element (x,y) is located at <code>pTable[x + y*numCols]</code> where x and y are integers.
+   *
+   * \par
+   * Let <code>(x, y)</code> specify the desired interpolation point.  Then define:
+   * <pre>
+   *     XF = floor(x)
+   *     YF = floor(y)
+   * </pre>
+   * \par
+   * The interpolated output point is computed as:
+   * <pre>
+   *  f(x, y) = f(XF, YF) * (1-(x-XF)) * (1-(y-YF))
+   *           + f(XF+1, YF) * (x-XF)*(1-(y-YF))
+   *           + f(XF, YF+1) * (1-(x-XF))*(y-YF)
+   *           + f(XF+1, YF+1) * (x-XF)*(y-YF)
+   * </pre>
+   * Note that the coordinates (x, y) contain integer and fractional components.
+   * The integer components specify which portion of the table to use while the
+   * fractional components control the interpolation processor.
+   *
+   * \par
+   * if (x,y) are outside of the table boundary, Bilinear interpolation returns zero output.
+   */
+
+
+  /**
+   * @addtogroup BilinearInterpolate
+   * @{
+   */
+
+  /**
+  * @brief  Floating-point bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate.
+  * @param[in]     Y  interpolation coordinate.
+  * @return out interpolated value.
+  */
+  __STATIC_FORCEINLINE float32_t arm_bilinear_interp_f32(
+  const arm_bilinear_interp_instance_f32 * S,
+  float32_t X,
+  float32_t Y)
+  {
+    float32_t out;
+    float32_t f00, f01, f10, f11;
+    float32_t *pData = S->pData;
+    int32_t xIndex, yIndex, index;
+    float32_t xdiff, ydiff;
+    float32_t b1, b2, b3, b4;
+
+    xIndex = (int32_t) X;
+    yIndex = (int32_t) Y;
+
+    /* Care taken for table outside boundary */
+    /* Returns zero output when values are outside table boundary */
+    if (xIndex < 0 || xIndex > (S->numRows - 1) || yIndex < 0 || yIndex > (S->numCols - 1))
+    {
+      return (0);
+    }
+
+    /* Calculation of index for two nearest points in X-direction */
+    index = (xIndex - 1) + (yIndex - 1) * S->numCols;
+
+
+    /* Read two nearest points in X-direction */
+    f00 = pData[index];
+    f01 = pData[index + 1];
+
+    /* Calculation of index for two nearest points in Y-direction */
+    index = (xIndex - 1) + (yIndex) * S->numCols;
+
+
+    /* Read two nearest points in Y-direction */
+    f10 = pData[index];
+    f11 = pData[index + 1];
+
+    /* Calculation of intermediate values */
+    b1 = f00;
+    b2 = f01 - f00;
+    b3 = f10 - f00;
+    b4 = f00 - f01 - f10 + f11;
+
+    /* Calculation of fractional part in X */
+    xdiff = X - xIndex;
+
+    /* Calculation of fractional part in Y */
+    ydiff = Y - yIndex;
+
+    /* Calculation of bi-linear interpolated output */
+    out = b1 + b2 * xdiff + b3 * ydiff + b4 * xdiff * ydiff;
+
+    /* return to application */
+    return (out);
+  }
+
+
+  /**
+  * @brief  Q31 bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate in 12.20 format.
+  * @param[in]     Y  interpolation coordinate in 12.20 format.
+  * @return out interpolated value.
+  */
+  __STATIC_FORCEINLINE q31_t arm_bilinear_interp_q31(
+  arm_bilinear_interp_instance_q31 * S,
+  q31_t X,
+  q31_t Y)
+  {
+    q31_t out;                                   /* Temporary output */
+    q31_t acc = 0;                               /* output */
+    q31_t xfract, yfract;                        /* X, Y fractional parts */
+    q31_t x1, x2, y1, y2;                        /* Nearest output values */
+    int32_t rI, cI;                              /* Row and column indices */
+    q31_t *pYData = S->pData;                    /* pointer to output table values */
+    uint32_t nCols = S->numCols;                 /* num of rows */
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    rI = ((X & (q31_t)0xFFF00000) >> 20);
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    cI = ((Y & (q31_t)0xFFF00000) >> 20);
+
+    /* Care taken for table outside boundary */
+    /* Returns zero output when values are outside table boundary */
+    if (rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))
+    {
+      return (0);
+    }
+
+    /* 20 bits for the fractional part */
+    /* shift left xfract by 11 to keep 1.31 format */
+    xfract = (X & 0x000FFFFF) << 11U;
+
+    /* Read two nearest output values from the index */
+    x1 = pYData[(rI) + (int32_t)nCols * (cI)    ];
+    x2 = pYData[(rI) + (int32_t)nCols * (cI) + 1];
+
+    /* 20 bits for the fractional part */
+    /* shift left yfract by 11 to keep 1.31 format */
+    yfract = (Y & 0x000FFFFF) << 11U;
+
+    /* Read two nearest output values from the index */
+    y1 = pYData[(rI) + (int32_t)nCols * (cI + 1)    ];
+    y2 = pYData[(rI) + (int32_t)nCols * (cI + 1) + 1];
+
+    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 3.29(q29) format */
+    out = ((q31_t) (((q63_t) x1  * (0x7FFFFFFF - xfract)) >> 32));
+    acc = ((q31_t) (((q63_t) out * (0x7FFFFFFF - yfract)) >> 32));
+
+    /* x2 * (xfract) * (1-yfract)  in 3.29(q29) and adding to acc */
+    out = ((q31_t) ((q63_t) x2 * (0x7FFFFFFF - yfract) >> 32));
+    acc += ((q31_t) ((q63_t) out * (xfract) >> 32));
+
+    /* y1 * (1 - xfract) * (yfract)  in 3.29(q29) and adding to acc */
+    out = ((q31_t) ((q63_t) y1 * (0x7FFFFFFF - xfract) >> 32));
+    acc += ((q31_t) ((q63_t) out * (yfract) >> 32));
+
+    /* y2 * (xfract) * (yfract)  in 3.29(q29) and adding to acc */
+    out = ((q31_t) ((q63_t) y2 * (xfract) >> 32));
+    acc += ((q31_t) ((q63_t) out * (yfract) >> 32));
+
+    /* Convert acc to 1.31(q31) format */
+    return ((q31_t)(acc << 2));
+  }
+
+
+  /**
+  * @brief  Q15 bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate in 12.20 format.
+  * @param[in]     Y  interpolation coordinate in 12.20 format.
+  * @return out interpolated value.
+  */
+  __STATIC_FORCEINLINE q15_t arm_bilinear_interp_q15(
+  arm_bilinear_interp_instance_q15 * S,
+  q31_t X,
+  q31_t Y)
+  {
+    q63_t acc = 0;                               /* output */
+    q31_t out;                                   /* Temporary output */
+    q15_t x1, x2, y1, y2;                        /* Nearest output values */
+    q31_t xfract, yfract;                        /* X, Y fractional parts */
+    int32_t rI, cI;                              /* Row and column indices */
+    q15_t *pYData = S->pData;                    /* pointer to output table values */
+    uint32_t nCols = S->numCols;                 /* num of rows */
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    rI = ((X & (q31_t)0xFFF00000) >> 20);
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    cI = ((Y & (q31_t)0xFFF00000) >> 20);
+
+    /* Care taken for table outside boundary */
+    /* Returns zero output when values are outside table boundary */
+    if (rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))
+    {
+      return (0);
+    }
+
+    /* 20 bits for the fractional part */
+    /* xfract should be in 12.20 format */
+    xfract = (X & 0x000FFFFF);
+
+    /* Read two nearest output values from the index */
+    x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI)    ];
+    x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1];
+
+    /* 20 bits for the fractional part */
+    /* yfract should be in 12.20 format */
+    yfract = (Y & 0x000FFFFF);
+
+    /* Read two nearest output values from the index */
+    y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1)    ];
+    y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1];
+
+    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 13.51 format */
+
+    /* x1 is in 1.15(q15), xfract in 12.20 format and out is in 13.35 format */
+    /* convert 13.35 to 13.31 by right shifting  and out is in 1.31 */
+    out = (q31_t) (((q63_t) x1 * (0xFFFFF - xfract)) >> 4U);
+    acc = ((q63_t) out * (0xFFFFF - yfract));
+
+    /* x2 * (xfract) * (1-yfract)  in 1.51 and adding to acc */
+    out = (q31_t) (((q63_t) x2 * (0xFFFFF - yfract)) >> 4U);
+    acc += ((q63_t) out * (xfract));
+
+    /* y1 * (1 - xfract) * (yfract)  in 1.51 and adding to acc */
+    out = (q31_t) (((q63_t) y1 * (0xFFFFF - xfract)) >> 4U);
+    acc += ((q63_t) out * (yfract));
+
+    /* y2 * (xfract) * (yfract)  in 1.51 and adding to acc */
+    out = (q31_t) (((q63_t) y2 * (xfract)) >> 4U);
+    acc += ((q63_t) out * (yfract));
+
+    /* acc is in 13.51 format and down shift acc by 36 times */
+    /* Convert out to 1.15 format */
+    return ((q15_t)(acc >> 36));
+  }
+
+
+  /**
+  * @brief  Q7 bilinear interpolation.
+  * @param[in,out] S  points to an instance of the interpolation structure.
+  * @param[in]     X  interpolation coordinate in 12.20 format.
+  * @param[in]     Y  interpolation coordinate in 12.20 format.
+  * @return out interpolated value.
+  */
+  __STATIC_FORCEINLINE q7_t arm_bilinear_interp_q7(
+  arm_bilinear_interp_instance_q7 * S,
+  q31_t X,
+  q31_t Y)
+  {
+    q63_t acc = 0;                               /* output */
+    q31_t out;                                   /* Temporary output */
+    q31_t xfract, yfract;                        /* X, Y fractional parts */
+    q7_t x1, x2, y1, y2;                         /* Nearest output values */
+    int32_t rI, cI;                              /* Row and column indices */
+    q7_t *pYData = S->pData;                     /* pointer to output table values */
+    uint32_t nCols = S->numCols;                 /* num of rows */
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    rI = ((X & (q31_t)0xFFF00000) >> 20);
+
+    /* Input is in 12.20 format */
+    /* 12 bits for the table index */
+    /* Index value calculation */
+    cI = ((Y & (q31_t)0xFFF00000) >> 20);
+
+    /* Care taken for table outside boundary */
+    /* Returns zero output when values are outside table boundary */
+    if (rI < 0 || rI > (S->numRows - 1) || cI < 0 || cI > (S->numCols - 1))
+    {
+      return (0);
+    }
+
+    /* 20 bits for the fractional part */
+    /* xfract should be in 12.20 format */
+    xfract = (X & (q31_t)0x000FFFFF);
+
+    /* Read two nearest output values from the index */
+    x1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI)    ];
+    x2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI) + 1];
+
+    /* 20 bits for the fractional part */
+    /* yfract should be in 12.20 format */
+    yfract = (Y & (q31_t)0x000FFFFF);
+
+    /* Read two nearest output values from the index */
+    y1 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1)    ];
+    y2 = pYData[((uint32_t)rI) + nCols * ((uint32_t)cI + 1) + 1];
+
+    /* Calculation of x1 * (1-xfract ) * (1-yfract) and acc is in 16.47 format */
+    out = ((x1 * (0xFFFFF - xfract)));
+    acc = (((q63_t) out * (0xFFFFF - yfract)));
+
+    /* x2 * (xfract) * (1-yfract)  in 2.22 and adding to acc */
+    out = ((x2 * (0xFFFFF - yfract)));
+    acc += (((q63_t) out * (xfract)));
+
+    /* y1 * (1 - xfract) * (yfract)  in 2.22 and adding to acc */
+    out = ((y1 * (0xFFFFF - xfract)));
+    acc += (((q63_t) out * (yfract)));
+
+    /* y2 * (xfract) * (yfract)  in 2.22 and adding to acc */
+    out = ((y2 * (yfract)));
+    acc += (((q63_t) out * (xfract)));
+
+    /* acc in 16.47 format and down shift by 40 to convert to 1.7 format */
+    return ((q7_t)(acc >> 40));
+  }
+
+  /**
+   * @} end of BilinearInterpolate group
+   */
+
+
+/* SMMLAR */
+#define multAcc_32x32_keep32_R(a, x, y) \
+    a = (q31_t) (((((q63_t) a) << 32) + ((q63_t) x * y) + 0x80000000LL ) >> 32)
+
+/* SMMLSR */
+#define multSub_32x32_keep32_R(a, x, y) \
+    a = (q31_t) (((((q63_t) a) << 32) - ((q63_t) x * y) + 0x80000000LL ) >> 32)
+
+/* SMMULR */
+#define mult_32x32_keep32_R(a, x, y) \
+    a = (q31_t) (((q63_t) x * y + 0x80000000LL ) >> 32)
+
+/* SMMLA */
+#define multAcc_32x32_keep32(a, x, y) \
+    a += (q31_t) (((q63_t) x * y) >> 32)
+
+/* SMMLS */
+#define multSub_32x32_keep32(a, x, y) \
+    a -= (q31_t) (((q63_t) x * y) >> 32)
+
+/* SMMUL */
+#define mult_32x32_keep32(a, x, y) \
+    a = (q31_t) (((q63_t) x * y ) >> 32)
+
+
+#if   defined ( __CC_ARM )
+  /* Enter low optimization region - place directly above function definition */
+  #if defined( __ARM_ARCH_7EM__ )
+    #define LOW_OPTIMIZATION_ENTER \
+       _Pragma ("push")         \
+       _Pragma ("O1")
+  #else
+    #define LOW_OPTIMIZATION_ENTER
+  #endif
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #if defined ( __ARM_ARCH_7EM__ )
+    #define LOW_OPTIMIZATION_EXIT \
+       _Pragma ("pop")
+  #else
+    #define LOW_OPTIMIZATION_EXIT
+  #endif
+
+  /* Enter low optimization region - place directly above function definition */
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined (__ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined ( __GNUC__ )
+  #define LOW_OPTIMIZATION_ENTER \
+       __attribute__(( optimize("-O1") ))
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined ( __ICCARM__ )
+  /* Enter low optimization region - place directly above function definition */
+  #if defined ( __ARM_ARCH_7EM__ )
+    #define LOW_OPTIMIZATION_ENTER \
+       _Pragma ("optimize=low")
+  #else
+    #define LOW_OPTIMIZATION_ENTER
+  #endif
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #define LOW_OPTIMIZATION_EXIT
+
+  /* Enter low optimization region - place directly above function definition */
+  #if defined ( __ARM_ARCH_7EM__ )
+    #define IAR_ONLY_LOW_OPTIMIZATION_ENTER \
+       _Pragma ("optimize=low")
+  #else
+    #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #endif
+
+  /* Exit low optimization region - place directly after end of function definition */
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined ( __TI_ARM__ )
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined ( __CSMC__ )
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#elif defined ( __TASKING__ )
+  #define LOW_OPTIMIZATION_ENTER
+  #define LOW_OPTIMIZATION_EXIT
+  #define IAR_ONLY_LOW_OPTIMIZATION_ENTER
+  #define IAR_ONLY_LOW_OPTIMIZATION_EXIT
+
+#endif
+
+
+#ifdef   __cplusplus
+}
+#endif
+
+/* Compiler specific diagnostic adjustment */
+#if   defined ( __CC_ARM )
+
+#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )
+
+#elif defined ( __GNUC__ )
+#pragma GCC diagnostic pop
+
+#elif defined ( __ICCARM__ )
+
+#elif defined ( __TI_ARM__ )
+
+#elif defined ( __CSMC__ )
+
+#elif defined ( __TASKING__ )
+
+#elif defined ( _MSC_VER )
+
+#else
+  #error Unknown compiler
+#endif
+
+#endif /* _ARM_MATH_H */
+
+/**
+ *
+ * End of file.
+ */
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MBLl_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MBLl_math.lib
new file mode 100644
index 0000000..e263854
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MBLl_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MMLl_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MMLl_math.lib
new file mode 100644
index 0000000..436895c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MMLl_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MMLld_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MMLld_math.lib
new file mode 100644
index 0000000..4915d4a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MMLld_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MMLldfsp_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MMLldfsp_math.lib
new file mode 100644
index 0000000..6195c4a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MMLldfsp_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MMLlfsp_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MMLlfsp_math.lib
new file mode 100644
index 0000000..a8b7a42
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_ARMv8MMLlfsp_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM0b_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM0b_math.lib
new file mode 100644
index 0000000..0240992
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM0b_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM0l_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM0l_math.lib
new file mode 100644
index 0000000..b7c2612
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM0l_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM3b_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM3b_math.lib
new file mode 100644
index 0000000..f8476b0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM3b_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM3l_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM3l_math.lib
new file mode 100644
index 0000000..089d638
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM3l_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM4b_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM4b_math.lib
new file mode 100644
index 0000000..699fb0c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM4b_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM4bf_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM4bf_math.lib
new file mode 100644
index 0000000..8e32bb1
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM4bf_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM4l_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM4l_math.lib
new file mode 100644
index 0000000..49930a0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM4l_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM4lf_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM4lf_math.lib
new file mode 100644
index 0000000..fc5cd80
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM4lf_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7b_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7b_math.lib
new file mode 100644
index 0000000..1c392df
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7b_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7bfdp_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7bfdp_math.lib
new file mode 100644
index 0000000..ed99a88
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7bfdp_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7bfsp_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7bfsp_math.lib
new file mode 100644
index 0000000..3c13c46
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7bfsp_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7l_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7l_math.lib
new file mode 100644
index 0000000..d1e56c0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7l_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7lfdp_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7lfdp_math.lib
new file mode 100644
index 0000000..8f25227
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7lfdp_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7lfsp_math.lib b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7lfsp_math.lib
new file mode 100644
index 0000000..1ab8ff7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/ARM/arm_cortexM7lfsp_math.lib
diff --git a/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MBLl_math.a b/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MBLl_math.a
new file mode 100644
index 0000000..5b81fe7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MBLl_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MMLl_math.a b/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MMLl_math.a
new file mode 100644
index 0000000..06be917
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MMLl_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MMLld_math.a b/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MMLld_math.a
new file mode 100644
index 0000000..177fc3f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MMLld_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MMLldfsp_math.a b/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MMLldfsp_math.a
new file mode 100644
index 0000000..67129f7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MMLldfsp_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MMLlfsp_math.a b/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MMLlfsp_math.a
new file mode 100644
index 0000000..20ace33
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/GCC/libarm_ARMv8MMLlfsp_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM0l_math.a b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM0l_math.a
new file mode 100644
index 0000000..950d3bd
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM0l_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM3l_math.a b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM3l_math.a
new file mode 100644
index 0000000..f4d896e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM3l_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM4l_math.a b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM4l_math.a
new file mode 100644
index 0000000..3084c44
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM4l_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM4lf_math.a b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM4lf_math.a
new file mode 100644
index 0000000..66efc87
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM4lf_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM7l_math.a b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM7l_math.a
new file mode 100644
index 0000000..d03b418
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM7l_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM7lfdp_math.a b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM7lfdp_math.a
new file mode 100644
index 0000000..ab7cf24
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM7lfdp_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM7lfsp_math.a b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM7lfsp_math.a
new file mode 100644
index 0000000..5d0f900
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/GCC/libarm_cortexM7lfsp_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MBLl_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MBLl_math.a
new file mode 100644
index 0000000..9667088
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MBLl_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLl_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLl_math.a
new file mode 100644
index 0000000..af89ad9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLl_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLld_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLld_math.a
new file mode 100644
index 0000000..1f6be6c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLld_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLldfdp_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLldfdp_math.a
new file mode 100644
index 0000000..fc9f598
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLldfdp_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLldfsp_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLldfsp_math.a
new file mode 100644
index 0000000..5773566
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLldfsp_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLlfdp_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLlfdp_math.a
new file mode 100644
index 0000000..8f0311d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLlfdp_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLlfsp_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLlfsp_math.a
new file mode 100644
index 0000000..61ef587
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_ARMv8MMLlfsp_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM0b_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM0b_math.a
new file mode 100644
index 0000000..a99996f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM0b_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM0l_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM0l_math.a
new file mode 100644
index 0000000..5a31073
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM0l_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM3b_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM3b_math.a
new file mode 100644
index 0000000..6dc0fb8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM3b_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM3l_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM3l_math.a
new file mode 100644
index 0000000..ed8faf1
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM3l_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM4b_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM4b_math.a
new file mode 100644
index 0000000..cb746f6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM4b_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM4bf_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM4bf_math.a
new file mode 100644
index 0000000..55b870d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM4bf_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM4l_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM4l_math.a
new file mode 100644
index 0000000..8fc7b37
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM4l_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM4lf_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM4lf_math.a
new file mode 100644
index 0000000..f3e0bb5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM4lf_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7b_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7b_math.a
new file mode 100644
index 0000000..7894f6c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7b_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7bf_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7bf_math.a
new file mode 100644
index 0000000..36986ff
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7bf_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7bs_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7bs_math.a
new file mode 100644
index 0000000..3dc0756
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7bs_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7l_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7l_math.a
new file mode 100644
index 0000000..85f2080
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7l_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7lf_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7lf_math.a
new file mode 100644
index 0000000..d8a1de5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7lf_math.a
diff --git a/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7ls_math.a b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7ls_math.a
new file mode 100644
index 0000000..e1ab137
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Lib/IAR/iar_cortexM7ls_math.a
diff --git a/Drivers/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/cmsismodule.c b/Drivers/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/cmsismodule.c
new file mode 100644
index 0000000..f024982
--- /dev/null
+++ b/Drivers/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/cmsismodule.c
@@ -0,0 +1,408 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Python Wrapper
+ * Title:        cmsismodule.c
+ * Description:  C code for the CMSIS-DSP Python wrapper
+ *
+ * $Date:        25. March 2019
+ * $Revision:    V0.0.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+#define NPY_NO_DEPRECATED_API NPY_1_15_API_VERSION
+
+#ifdef WIN
+#pragma warning( disable : 4013 ) 
+#pragma warning( disable : 4244 ) 
+#endif
+
+#include <Python.h>
+#define MAX(A,B) (A) < (B) ? (B) : (A)
+
+#define CAT1(A,B) A##B
+#define CAT(A,B) CAT1(A,B)
+
+
+#ifdef CMSISDSP
+#include "arm_math.h"
+#define MODNAME "cmsisdsp"
+#define MODINITNAME cmsisdsp
+#endif 
+
+#include <numpy/arrayobject.h>
+#include <numpy/ndarraytypes.h>
+
+#if PY_MAJOR_VERSION >= 3
+#define IS_PY3K
+#endif
+
+struct module_state {
+    PyObject *error;
+};
+
+#if PY_MAJOR_VERSION >= 3
+#define GETSTATE(m) ((struct module_state*)PyModule_GetState(m))
+#else
+#define GETSTATE(m) (&_state)
+static struct module_state _state;
+#endif
+
+static PyObject *
+error_out(PyObject *m) {
+    struct module_state *st = GETSTATE(m);
+    PyErr_SetString(st->error, "something bad happened");
+    return NULL;
+}
+
+#define MLTYPE(name,thenewfunc,deallocfunc,initfunc,methods)\
+static PyTypeObject ml_##name##Type = {          \
+    PyVarObject_HEAD_INIT(NULL, 0)               \
+    .tp_name=MODNAME".##name",                   \
+    .tp_basicsize = sizeof(ml_##name##Object),   \
+    .tp_itemsize = 0,                            \
+    .tp_dealloc = (destructor)deallocfunc,       \
+    .tp_flags =  Py_TPFLAGS_DEFAULT,           \
+    .tp_doc = #name,                             \
+    .tp_init = (initproc)initfunc,               \
+    .tp_new = (newfunc)thenewfunc,                \
+    .tp_methods = methods  \
+   };
+
+
+#define MEMCPY(DST,SRC,NB,FORMAT) \
+for(memCpyIndex = 0; memCpyIndex < (NB) ; memCpyIndex++)\
+{                                \
+  (DST)[memCpyIndex] = (FORMAT)(SRC)[memCpyIndex];       \
+}
+
+#define GETFIELD(NAME,FIELD,FORMAT)                                           \
+static PyObject *                                                             \
+Method_##NAME##_##FIELD(ml_##NAME##Object *self, PyObject *ignored)\
+{                                                                             \
+    return(Py_BuildValue(FORMAT,self->instance->FIELD));                      \
+}                                                                             
+    
+#define GETFIELDARRAY(NAME,FIELD,FORMAT)                                           \
+static PyObject *                                                             \
+Method_##NAME##_##FIELD(ml_##NAME##Object *self, PyObject *ignored)\
+{                                                                             \
+    return(specific_##NAME##_##FIELD(self->instance));                      \
+}  
+
+#define INITARRAYFIELD(FIELD,FORMAT,SRCFORMAT,DSTFORMAT)                         \
+    if (FIELD)                                                                \
+    {                                                                         \
+       PyArray_Descr *desct=PyArray_DescrFromType(FORMAT);                    \
+       PyArrayObject *FIELD##c = (PyArrayObject *)PyArray_FromAny(FIELD,desct,\
+        1,0,NPY_ARRAY_C_CONTIGUOUS | NPY_ARRAY_ALIGNED | NPY_ARRAY_FORCECAST, \
+        NULL);                                                                \
+       if (FIELD##c)                                                          \
+       {                                                                      \
+           uint32_t memCpyIndex; \
+           SRCFORMAT *f=(SRCFORMAT*)PyArray_DATA(FIELD##c);                   \
+           uint32_t n = PyArray_SIZE(FIELD##c);                               \
+           self->instance->FIELD =PyMem_Malloc(sizeof(DSTFORMAT)*n);                \
+           MEMCPY(self->instance->FIELD ,f,n,DSTFORMAT);                      \
+           Py_DECREF(FIELD##c);                                               \
+       }                                                                      \
+    }
+#define GETCARRAY(PYVAR,CVAR,FORMAT,SRCFORMAT,DSTFORMAT)                                \
+    if (PYVAR)                                                                \
+    {                                                                         \
+       PyArray_Descr *desct=PyArray_DescrFromType(FORMAT);                    \
+       PyArrayObject *PYVAR##c = (PyArrayObject *)PyArray_FromAny(PYVAR,desct,\
+        1,0,NPY_ARRAY_C_CONTIGUOUS | NPY_ARRAY_ALIGNED | NPY_ARRAY_FORCECAST, \
+        NULL);                                                                \
+       if (PYVAR##c)                                                          \
+       {                                                                      \
+           uint32_t memCpyIndex; \
+           SRCFORMAT *f=(SRCFORMAT*)PyArray_DATA(PYVAR##c);                         \
+           uint32_t n = PyArray_SIZE(PYVAR##c);                               \
+           CVAR =PyMem_Malloc(sizeof(DSTFORMAT)*n);                                 \
+           MEMCPY(CVAR ,f,n,DSTFORMAT);                               \
+           Py_DECREF(PYVAR##c);                                               \
+       }                                                                      \
+    }
+
+#define GETARGUMENT(FIELD,FORMAT,SRCFORMAT,DSTFORMAT)                          \
+    uint32_t arraySize##FIELD=0;                                               \
+    if (FIELD)                                                                 \
+    {                                                                          \
+       PyArray_Descr *desct=PyArray_DescrFromType(FORMAT);                     \
+       PyArrayObject *FIELD##c = (PyArrayObject *)PyArray_FromAny(FIELD,desct, \
+        1,0,NPY_ARRAY_C_CONTIGUOUS | NPY_ARRAY_ALIGNED | NPY_ARRAY_FORCECAST,  \
+        NULL);                                                                 \
+       if (FIELD##c)                                                           \
+       {                                                                       \
+           uint32_t memCpyIndex; \
+           SRCFORMAT *f=(SRCFORMAT*)PyArray_DATA(FIELD##c);                    \
+           arraySize##FIELD = PyArray_SIZE(FIELD##c);                          \
+           FIELD##_converted =PyMem_Malloc(sizeof(DSTFORMAT)*arraySize##FIELD);\
+           MEMCPY(FIELD##_converted ,f,arraySize##FIELD,DSTFORMAT);            \
+           Py_DECREF(FIELD##c);                                                \
+       }                                                                       \
+    }
+
+#define FREEARGUMENT(FIELD) \
+    PyMem_Free(FIELD)
+
+#ifdef IS_PY3K
+#define ADDTYPE(name)                                               \
+    if (PyType_Ready(&ml_##name##Type) < 0)                         \
+        return;                                              \
+                                                                    \
+    Py_INCREF(&ml_##name##Type);                                    \
+    PyModule_AddObject(module, #name, (PyObject *)&ml_##name##Type);
+#else
+#define ADDTYPE(name)                                               \
+    if (PyType_Ready(&ml_##name##Type) < 0)                         \
+        return;                                                     \
+                                                                    \
+    Py_INCREF(&ml_##name##Type);                                    \
+    PyModule_AddObject(module, #name, (PyObject *)&ml_##name##Type);
+#endif
+
+#define FLOATARRAY2(OBJ,NB1,NB2,DATA)                                      \
+    npy_intp dims[2];                                                  \
+    dims[0]=NB1;                                                       \
+    dims[1]=NB2;                                                       \
+    const int ND=2;                                                    \
+    PyObject *OBJ=PyArray_SimpleNewFromData(ND, dims, NPY_FLOAT, DATA);
+
+#define FLOATARRAY1(OBJ,NB1,DATA)                                          \
+    npy_intp dims[1];                                                  \
+    dims[0]=NB1;                                                       \
+    const int ND=1;                                                    \
+    PyObject *OBJ=PyArray_SimpleNewFromData(ND, dims, NPY_FLOAT, DATA);
+
+#define FLOAT64ARRAY1(OBJ,NB1,DATA)                                          \
+    npy_intp dims[1];                                                  \
+    dims[0]=NB1;                                                       \
+    const int ND=1;                                                    \
+    PyObject *OBJ=PyArray_SimpleNewFromData(ND, dims, NPY_DOUBLE, DATA);
+
+#define UINT32ARRAY1(OBJ,NB1,DATA)                                          \
+    npy_intp dims[1];                                                   \
+    dims[0]=NB1;                                                        \
+    const int ND=1;                                                     \
+    PyObject *OBJ=PyArray_SimpleNewFromData(ND, dims, NPY_UINT32, DATA);
+
+#define INT32ARRAY1(OBJ,NB1,DATA)                                          \
+    npy_intp dims[1];                                                   \
+    dims[0]=NB1;                                                        \
+    const int ND=1;                                                     \
+    PyObject *OBJ=PyArray_SimpleNewFromData(ND, dims, NPY_INT32, DATA);
+
+#define INT16ARRAY1(OBJ,NB1,DATA)                                          \
+    npy_intp dims[1];                                                   \
+    dims[0]=NB1;                                                        \
+    const int ND=1;                                                     \
+    PyObject *OBJ=PyArray_SimpleNewFromData(ND, dims, NPY_INT16, DATA);
+
+#define INT8ARRAY1(OBJ,NB1,DATA)                                          \
+    npy_intp dims[1];                                                   \
+    dims[0]=NB1;                                                        \
+    const int ND=1;                                                     \
+    PyObject *OBJ=PyArray_SimpleNewFromData(ND, dims, NPY_BYTE, DATA);
+
+
+#define MATRIXFROMNUMPY(EXT,TYP,SRCTYPE,NUMPYTYPE)                                   \
+arm_matrix_instance_##EXT *EXT##MatrixFromNumpy(PyObject *o)                   \
+{                                                                            \
+    arm_matrix_instance_##EXT *s;                                              \
+                                                                             \
+    s=PyMem_Malloc(sizeof(arm_matrix_instance_##EXT));                               \
+    s->pData=NULL;                                                           \
+    s->numRows=0;                                                            \
+    s->numCols=0;                                                            \
+                                                                             \
+    PyArray_Descr *desct=PyArray_DescrFromType(NUMPYTYPE);                    \
+    PyArrayObject *cdata = (PyArrayObject *)PyArray_FromAny(o,desct,         \
+        1,0,NPY_ARRAY_C_CONTIGUOUS | NPY_ARRAY_ALIGNED | NPY_ARRAY_FORCECAST, \
+        NULL);                                                                \
+    if (cdata)                                                               \
+    {                                                                        \
+           uint32_t memCpyIndex;                                             \
+           SRCTYPE *f=(SRCTYPE*)PyArray_DATA(cdata);                           \
+           s->numRows=PyArray_DIM(cdata,0);                                  \
+           s->numCols=PyArray_DIM(cdata,1);                                  \
+           uint32_t nb = PyArray_SIZE(cdata);                                \
+           s->pData = PyMem_Malloc(sizeof(TYP)*nb);                                \
+           MEMCPY(s->pData ,f,nb,TYP);                                       \
+           Py_DECREF(cdata);                                                 \
+    }                                                                        \
+                                                                             \
+                                                                             \
+    return(s);                                                               \
+                                                                             \
+}
+
+MATRIXFROMNUMPY(f32,float32_t,double,NPY_DOUBLE);
+MATRIXFROMNUMPY(f64,float64_t,double,NPY_DOUBLE);
+MATRIXFROMNUMPY(q31,q31_t,int32_t,NPY_INT32);
+MATRIXFROMNUMPY(q15,q15_t,int16_t,NPY_INT16);
+
+#define CREATEMATRIX(EXT,TYP)                                        \
+arm_matrix_instance_##EXT *create##EXT##Matrix(uint32_t r,uint32_t c)\
+{                                                                    \
+    arm_matrix_instance_##EXT *s;                                      \
+                                                                     \
+    s=PyMem_Malloc(sizeof(arm_matrix_instance_##EXT));                     \
+    s->pData=PyMem_Malloc(sizeof(TYP)*r*c);                                \
+    s->numRows=r;                                                    \
+    s->numCols=c;                                                    \
+    return(s);                                                       \
+}
+
+CREATEMATRIX(f32,float32_t);
+CREATEMATRIX(f64,float64_t);
+CREATEMATRIX(q31,q31_t);
+CREATEMATRIX(q15,q15_t);
+
+#define NUMPYARRAYFROMMATRIX(EXT,NUMPYTYPE_FROMC)                                  \
+PyObject *NumpyArrayFrom##EXT##Matrix(arm_matrix_instance_##EXT *mat)              \
+{                                                                                  \
+    npy_intp dims[2];                                                              \
+    dims[0]=mat->numRows;                                                          \
+    dims[1]=mat->numCols;                                                          \
+    const int ND=2;                                                                \
+    PyObject *OBJ=PyArray_SimpleNewFromData(ND, dims, NUMPYTYPE_FROMC, mat->pData);\
+    return(OBJ);                                                                   \
+}
+
+NUMPYARRAYFROMMATRIX(f32,NPY_FLOAT);
+NUMPYARRAYFROMMATRIX(f64,NPY_DOUBLE);
+NUMPYARRAYFROMMATRIX(q31,NPY_INT32);
+NUMPYARRAYFROMMATRIX(q15,NPY_INT16);
+
+//#include "specific.h"
+#include "cmsismodule.h"
+
+#if 0
+static PyObject *cmsisml_test(PyObject *obj, PyObject *args)
+{
+    ml_arm_svm_linear_instance_f32Object *self=NULL;
+    PyObject *svm, *vector=NULL;
+
+    if (!PyArg_ParseTuple(args, "OO", &svm,&vector))
+        return NULL;
+
+    self=(ml_arm_svm_linear_instance_f32Object*)svm;
+    if (self)
+    {
+        if (self->instance)
+        {
+            int result;
+            float32_t *input=NULL;
+            GETCARRAY(vector,input,NPY_DOUBLE,double,float32_t);
+            
+            arm_svm_linear_predict_f32(self->instance,input,&result);
+            /*
+            printf("Dual\n");
+            for(int i = 0 ; i < self->instance->nbOfSupportVectors ; i++)
+            {
+                printf("%f\n",self->instance->dualCoefficients[i]);
+            }
+            printf("Vectors\n");
+            int k=0;
+            for(int i = 0 ; i < self->instance->nbOfSupportVectors ; i++)
+            {
+                printf("Vector %d\n",i);
+                for(int j = 0 ; j < self->instance->vectorDimension ; j++)
+                {
+                    printf("%f\n",self->instance->supportVectors[k]);
+                    k++;
+                }
+            }
+            printf("Classes\n");
+            for(int i = 0 ; i < 2 ; i++)
+            {
+                printf("%d\n",self->instance->classes[i]);
+            }
+            printf("Intercept %f\n",self->instance->intercept);
+*/
+            PyMem_Free(input);
+            return(Py_BuildValue("i",result));
+        }
+    }
+    return(Py_BuildValue("i",-1));
+}
+#endif
+
+#ifdef IS_PY3K
+static int cmsisml_traverse(PyObject *m, visitproc visit, void *arg) {
+    Py_VISIT(GETSTATE(m)->error);
+    return 0;
+}
+
+static int cmsisml_clear(PyObject *m) {
+    Py_CLEAR(GETSTATE(m)->error);
+    return 0;
+}
+
+
+static struct PyModuleDef moduledef = {
+        PyModuleDef_HEAD_INIT,
+        MODNAME,
+        NULL,
+        sizeof(struct module_state),
+        CMSISMLMethods,
+        NULL,
+        cmsisml_traverse,
+        cmsisml_clear,
+        NULL
+};
+
+#define INITERROR return NULL
+
+PyMODINIT_FUNC
+CAT(PyInit_,MODINITNAME)(void)
+
+
+#else
+#define INITERROR return
+
+void CAT(init,MODINITNAME)(void)
+#endif
+{
+    import_array();
+
+  #ifdef IS_PY3K
+    PyObject *module = PyModule_Create(&moduledef);
+  #else
+    PyObject *module = Py_InitModule(MODNAME, CMSISMLMethods);
+  #endif
+
+  if (module == NULL)
+      INITERROR;
+  struct module_state *st = GETSTATE(module);
+  
+  st->error = PyErr_NewException(MODNAME".Error", NULL, NULL);
+  if (st->error == NULL) {
+      Py_DECREF(module);
+      INITERROR;
+  }
+
+
+  typeRegistration(module);
+
+  #ifdef IS_PY3K
+    return module;
+  #endif
+}
+\ No newline at end of file
diff --git a/Drivers/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/cmsismodule.h b/Drivers/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/cmsismodule.h
new file mode 100644
index 0000000..579a134
--- /dev/null
+++ b/Drivers/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/cmsismodule.h
@@ -0,0 +1,15360 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Python Wrapper
+ * Title:        cmsismodule.h
+ * Description:  Automatically generated C code for the CMSIS-DSP Python wrapper
+ *
+ * $Date:        25. March 2019
+ * $Revision:    V0.0.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+typedef struct {
+    PyObject_HEAD
+    arm_fir_instance_q7 *instance;
+} ml_arm_fir_instance_q7Object;
+
+
+static void
+arm_fir_instance_q7_dealloc(ml_arm_fir_instance_q7Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_instance_q7_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_instance_q7Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_instance_q7Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_instance_q7));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_instance_q7_init(ml_arm_fir_instance_q7Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numTaps",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|h", kwlist,&self->instance->numTaps
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_instance_q7,numTaps,"h");
+
+
+static PyMethodDef arm_fir_instance_q7_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_fir_instance_q7_numTaps,METH_NOARGS,"numTaps"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_instance_q7,arm_fir_instance_q7_new,arm_fir_instance_q7_dealloc,arm_fir_instance_q7_init,arm_fir_instance_q7_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_instance_q15 *instance;
+} ml_arm_fir_instance_q15Object;
+
+
+static void
+arm_fir_instance_q15_dealloc(ml_arm_fir_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_instance_q15));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_instance_q15_init(ml_arm_fir_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numTaps",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|h", kwlist,&self->instance->numTaps
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_instance_q15,numTaps,"h");
+
+
+static PyMethodDef arm_fir_instance_q15_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_fir_instance_q15_numTaps,METH_NOARGS,"numTaps"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_instance_q15,arm_fir_instance_q15_new,arm_fir_instance_q15_dealloc,arm_fir_instance_q15_init,arm_fir_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_instance_q31 *instance;
+} ml_arm_fir_instance_q31Object;
+
+
+static void
+arm_fir_instance_q31_dealloc(ml_arm_fir_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_instance_q31));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_instance_q31_init(ml_arm_fir_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numTaps",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|h", kwlist,&self->instance->numTaps
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_instance_q31,numTaps,"h");
+
+
+static PyMethodDef arm_fir_instance_q31_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_fir_instance_q31_numTaps,METH_NOARGS,"numTaps"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_instance_q31,arm_fir_instance_q31_new,arm_fir_instance_q31_dealloc,arm_fir_instance_q31_init,arm_fir_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_instance_f32 *instance;
+} ml_arm_fir_instance_f32Object;
+
+
+static void
+arm_fir_instance_f32_dealloc(ml_arm_fir_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_instance_f32));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_instance_f32_init(ml_arm_fir_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numTaps",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|h", kwlist,&self->instance->numTaps
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_instance_f32,numTaps,"h");
+
+
+static PyMethodDef arm_fir_instance_f32_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_fir_instance_f32_numTaps,METH_NOARGS,"numTaps"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_instance_f32,arm_fir_instance_f32_new,arm_fir_instance_f32_dealloc,arm_fir_instance_f32_init,arm_fir_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_biquad_casd_df1_inst_q15 *instance;
+} ml_arm_biquad_casd_df1_inst_q15Object;
+
+
+static void
+arm_biquad_casd_df1_inst_q15_dealloc(ml_arm_biquad_casd_df1_inst_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_biquad_casd_df1_inst_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_biquad_casd_df1_inst_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_biquad_casd_df1_inst_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_biquad_casd_df1_inst_q15));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_biquad_casd_df1_inst_q15_init(ml_arm_biquad_casd_df1_inst_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numStages","postShift",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|ii", kwlist,&self->instance->numStages
+,&self->instance->postShift
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_biquad_casd_df1_inst_q15,numStages,"i");
+GETFIELD(arm_biquad_casd_df1_inst_q15,postShift,"i");
+
+
+static PyMethodDef arm_biquad_casd_df1_inst_q15_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_biquad_casd_df1_inst_q15_numStages,METH_NOARGS,"numStages"},
+    {"postShift", (PyCFunction) Method_arm_biquad_casd_df1_inst_q15_postShift,METH_NOARGS,"postShift"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_biquad_casd_df1_inst_q15,arm_biquad_casd_df1_inst_q15_new,arm_biquad_casd_df1_inst_q15_dealloc,arm_biquad_casd_df1_inst_q15_init,arm_biquad_casd_df1_inst_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_biquad_casd_df1_inst_q31 *instance;
+} ml_arm_biquad_casd_df1_inst_q31Object;
+
+
+static void
+arm_biquad_casd_df1_inst_q31_dealloc(ml_arm_biquad_casd_df1_inst_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_biquad_casd_df1_inst_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_biquad_casd_df1_inst_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_biquad_casd_df1_inst_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_biquad_casd_df1_inst_q31));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_biquad_casd_df1_inst_q31_init(ml_arm_biquad_casd_df1_inst_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numStages","postShift",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|ii", kwlist,&self->instance->numStages
+,&self->instance->postShift
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_biquad_casd_df1_inst_q31,numStages,"i");
+GETFIELD(arm_biquad_casd_df1_inst_q31,postShift,"i");
+
+
+static PyMethodDef arm_biquad_casd_df1_inst_q31_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_biquad_casd_df1_inst_q31_numStages,METH_NOARGS,"numStages"},
+    {"postShift", (PyCFunction) Method_arm_biquad_casd_df1_inst_q31_postShift,METH_NOARGS,"postShift"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_biquad_casd_df1_inst_q31,arm_biquad_casd_df1_inst_q31_new,arm_biquad_casd_df1_inst_q31_dealloc,arm_biquad_casd_df1_inst_q31_init,arm_biquad_casd_df1_inst_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_biquad_casd_df1_inst_f32 *instance;
+} ml_arm_biquad_casd_df1_inst_f32Object;
+
+
+static void
+arm_biquad_casd_df1_inst_f32_dealloc(ml_arm_biquad_casd_df1_inst_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_biquad_casd_df1_inst_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_biquad_casd_df1_inst_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_biquad_casd_df1_inst_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_biquad_casd_df1_inst_f32));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_biquad_casd_df1_inst_f32_init(ml_arm_biquad_casd_df1_inst_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numStages",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|i", kwlist,&self->instance->numStages
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_biquad_casd_df1_inst_f32,numStages,"i");
+
+
+static PyMethodDef arm_biquad_casd_df1_inst_f32_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_biquad_casd_df1_inst_f32_numStages,METH_NOARGS,"numStages"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_biquad_casd_df1_inst_f32,arm_biquad_casd_df1_inst_f32_new,arm_biquad_casd_df1_inst_f32_dealloc,arm_biquad_casd_df1_inst_f32_init,arm_biquad_casd_df1_inst_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_matrix_instance_f32 *instance;
+} ml_arm_matrix_instance_f32Object;
+
+
+static void
+arm_matrix_instance_f32_dealloc(ml_arm_matrix_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pData)
+       {
+          PyMem_Free(self->instance->pData);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_matrix_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_matrix_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_matrix_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_matrix_instance_f32));
+
+        self->instance->pData = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_matrix_instance_f32_init(ml_arm_matrix_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pData=NULL;
+char *kwlist[] = {
+"numRows","numCols","pData",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhO", kwlist,&self->instance->numRows
+,&self->instance->numCols
+,&pData
+))
+    {
+
+    INITARRAYFIELD(pData,NPY_DOUBLE,double,float32_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_matrix_instance_f32,numRows,"h");
+GETFIELD(arm_matrix_instance_f32,numCols,"h");
+
+
+static PyMethodDef arm_matrix_instance_f32_methods[] = {
+
+    {"numRows", (PyCFunction) Method_arm_matrix_instance_f32_numRows,METH_NOARGS,"numRows"},
+    {"numCols", (PyCFunction) Method_arm_matrix_instance_f32_numCols,METH_NOARGS,"numCols"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_matrix_instance_f32,arm_matrix_instance_f32_new,arm_matrix_instance_f32_dealloc,arm_matrix_instance_f32_init,arm_matrix_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_matrix_instance_f64 *instance;
+} ml_arm_matrix_instance_f64Object;
+
+
+static void
+arm_matrix_instance_f64_dealloc(ml_arm_matrix_instance_f64Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pData)
+       {
+          PyMem_Free(self->instance->pData);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_matrix_instance_f64_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_matrix_instance_f64Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_matrix_instance_f64Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_matrix_instance_f64));
+
+        self->instance->pData = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_matrix_instance_f64_init(ml_arm_matrix_instance_f64Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pData=NULL;
+char *kwlist[] = {
+"numRows","numCols","pData",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhO", kwlist,&self->instance->numRows
+,&self->instance->numCols
+,&pData
+))
+    {
+
+    INITARRAYFIELD(pData,NPY_FLOAT64,float64_t,float64_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_matrix_instance_f64,numRows,"h");
+GETFIELD(arm_matrix_instance_f64,numCols,"h");
+
+
+static PyMethodDef arm_matrix_instance_f64_methods[] = {
+
+    {"numRows", (PyCFunction) Method_arm_matrix_instance_f64_numRows,METH_NOARGS,"numRows"},
+    {"numCols", (PyCFunction) Method_arm_matrix_instance_f64_numCols,METH_NOARGS,"numCols"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_matrix_instance_f64,arm_matrix_instance_f64_new,arm_matrix_instance_f64_dealloc,arm_matrix_instance_f64_init,arm_matrix_instance_f64_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_matrix_instance_q15 *instance;
+} ml_arm_matrix_instance_q15Object;
+
+
+static void
+arm_matrix_instance_q15_dealloc(ml_arm_matrix_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pData)
+       {
+          PyMem_Free(self->instance->pData);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_matrix_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_matrix_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_matrix_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_matrix_instance_q15));
+
+        self->instance->pData = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_matrix_instance_q15_init(ml_arm_matrix_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pData=NULL;
+char *kwlist[] = {
+"numRows","numCols","pData",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhO", kwlist,&self->instance->numRows
+,&self->instance->numCols
+,&pData
+))
+    {
+
+    INITARRAYFIELD(pData,NPY_INT16,int16_t,int16_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_matrix_instance_q15,numRows,"h");
+GETFIELD(arm_matrix_instance_q15,numCols,"h");
+
+
+static PyMethodDef arm_matrix_instance_q15_methods[] = {
+
+    {"numRows", (PyCFunction) Method_arm_matrix_instance_q15_numRows,METH_NOARGS,"numRows"},
+    {"numCols", (PyCFunction) Method_arm_matrix_instance_q15_numCols,METH_NOARGS,"numCols"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_matrix_instance_q15,arm_matrix_instance_q15_new,arm_matrix_instance_q15_dealloc,arm_matrix_instance_q15_init,arm_matrix_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_matrix_instance_q31 *instance;
+} ml_arm_matrix_instance_q31Object;
+
+
+static void
+arm_matrix_instance_q31_dealloc(ml_arm_matrix_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pData)
+       {
+          PyMem_Free(self->instance->pData);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_matrix_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_matrix_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_matrix_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_matrix_instance_q31));
+
+        self->instance->pData = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_matrix_instance_q31_init(ml_arm_matrix_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pData=NULL;
+char *kwlist[] = {
+"numRows","numCols","pData",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhO", kwlist,&self->instance->numRows
+,&self->instance->numCols
+,&pData
+))
+    {
+
+    INITARRAYFIELD(pData,NPY_INT32,int32_t,int32_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_matrix_instance_q31,numRows,"h");
+GETFIELD(arm_matrix_instance_q31,numCols,"h");
+
+
+static PyMethodDef arm_matrix_instance_q31_methods[] = {
+
+    {"numRows", (PyCFunction) Method_arm_matrix_instance_q31_numRows,METH_NOARGS,"numRows"},
+    {"numCols", (PyCFunction) Method_arm_matrix_instance_q31_numCols,METH_NOARGS,"numCols"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_matrix_instance_q31,arm_matrix_instance_q31_new,arm_matrix_instance_q31_dealloc,arm_matrix_instance_q31_init,arm_matrix_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_pid_instance_q15 *instance;
+} ml_arm_pid_instance_q15Object;
+
+
+static void
+arm_pid_instance_q15_dealloc(ml_arm_pid_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_pid_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_pid_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_pid_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_pid_instance_q15));
+
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_pid_instance_q15_init(ml_arm_pid_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+char *kwlist[] = {
+"A0","A1","A2","state","Kp","Ki","Kd",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhhhhhh", kwlist,&self->instance->A0
+,&self->instance->A1
+,&self->instance->A2
+,&self->instance->state
+,&self->instance->Kp
+,&self->instance->Ki
+,&self->instance->Kd
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_pid_instance_q15,A0,"h");
+GETFIELD(arm_pid_instance_q15,A1,"h");
+GETFIELD(arm_pid_instance_q15,A2,"h");
+GETFIELD(arm_pid_instance_q15,state,"h");
+GETFIELD(arm_pid_instance_q15,Kp,"h");
+GETFIELD(arm_pid_instance_q15,Ki,"h");
+GETFIELD(arm_pid_instance_q15,Kd,"h");
+
+
+static PyMethodDef arm_pid_instance_q15_methods[] = {
+
+    {"A0", (PyCFunction) Method_arm_pid_instance_q15_A0,METH_NOARGS,"A0"},
+    {"A1", (PyCFunction) Method_arm_pid_instance_q15_A1,METH_NOARGS,"A1"},
+    {"A2", (PyCFunction) Method_arm_pid_instance_q15_A2,METH_NOARGS,"A2"},
+    {"state", (PyCFunction) Method_arm_pid_instance_q15_state,METH_NOARGS,"state"},
+    {"Kp", (PyCFunction) Method_arm_pid_instance_q15_Kp,METH_NOARGS,"Kp"},
+    {"Ki", (PyCFunction) Method_arm_pid_instance_q15_Ki,METH_NOARGS,"Ki"},
+    {"Kd", (PyCFunction) Method_arm_pid_instance_q15_Kd,METH_NOARGS,"Kd"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_pid_instance_q15,arm_pid_instance_q15_new,arm_pid_instance_q15_dealloc,arm_pid_instance_q15_init,arm_pid_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_pid_instance_q31 *instance;
+} ml_arm_pid_instance_q31Object;
+
+
+static void
+arm_pid_instance_q31_dealloc(ml_arm_pid_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_pid_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_pid_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_pid_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_pid_instance_q31));
+
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_pid_instance_q31_init(ml_arm_pid_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+char *kwlist[] = {
+"A0","A1","A2","state","Kp","Ki","Kd",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|iiiiiii", kwlist,&self->instance->A0
+,&self->instance->A1
+,&self->instance->A2
+,&self->instance->state
+,&self->instance->Kp
+,&self->instance->Ki
+,&self->instance->Kd
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_pid_instance_q31,A0,"i");
+GETFIELD(arm_pid_instance_q31,A1,"i");
+GETFIELD(arm_pid_instance_q31,A2,"i");
+GETFIELD(arm_pid_instance_q31,state,"i");
+GETFIELD(arm_pid_instance_q31,Kp,"i");
+GETFIELD(arm_pid_instance_q31,Ki,"i");
+GETFIELD(arm_pid_instance_q31,Kd,"i");
+
+
+static PyMethodDef arm_pid_instance_q31_methods[] = {
+
+    {"A0", (PyCFunction) Method_arm_pid_instance_q31_A0,METH_NOARGS,"A0"},
+    {"A1", (PyCFunction) Method_arm_pid_instance_q31_A1,METH_NOARGS,"A1"},
+    {"A2", (PyCFunction) Method_arm_pid_instance_q31_A2,METH_NOARGS,"A2"},
+    {"state", (PyCFunction) Method_arm_pid_instance_q31_state,METH_NOARGS,"state"},
+    {"Kp", (PyCFunction) Method_arm_pid_instance_q31_Kp,METH_NOARGS,"Kp"},
+    {"Ki", (PyCFunction) Method_arm_pid_instance_q31_Ki,METH_NOARGS,"Ki"},
+    {"Kd", (PyCFunction) Method_arm_pid_instance_q31_Kd,METH_NOARGS,"Kd"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_pid_instance_q31,arm_pid_instance_q31_new,arm_pid_instance_q31_dealloc,arm_pid_instance_q31_init,arm_pid_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_pid_instance_f32 *instance;
+} ml_arm_pid_instance_f32Object;
+
+
+static void
+arm_pid_instance_f32_dealloc(ml_arm_pid_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_pid_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_pid_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_pid_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_pid_instance_f32));
+
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_pid_instance_f32_init(ml_arm_pid_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+char *kwlist[] = {
+"A0","A1","A2","state","Kp","Ki","Kd",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|fffffff", kwlist,&self->instance->A0
+,&self->instance->A1
+,&self->instance->A2
+,&self->instance->state
+,&self->instance->Kp
+,&self->instance->Ki
+,&self->instance->Kd
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_pid_instance_f32,A0,"f");
+GETFIELD(arm_pid_instance_f32,A1,"f");
+GETFIELD(arm_pid_instance_f32,A2,"f");
+GETFIELD(arm_pid_instance_f32,state,"f");
+GETFIELD(arm_pid_instance_f32,Kp,"f");
+GETFIELD(arm_pid_instance_f32,Ki,"f");
+GETFIELD(arm_pid_instance_f32,Kd,"f");
+
+
+static PyMethodDef arm_pid_instance_f32_methods[] = {
+
+    {"A0", (PyCFunction) Method_arm_pid_instance_f32_A0,METH_NOARGS,"A0"},
+    {"A1", (PyCFunction) Method_arm_pid_instance_f32_A1,METH_NOARGS,"A1"},
+    {"A2", (PyCFunction) Method_arm_pid_instance_f32_A2,METH_NOARGS,"A2"},
+    {"state", (PyCFunction) Method_arm_pid_instance_f32_state,METH_NOARGS,"state"},
+    {"Kp", (PyCFunction) Method_arm_pid_instance_f32_Kp,METH_NOARGS,"Kp"},
+    {"Ki", (PyCFunction) Method_arm_pid_instance_f32_Ki,METH_NOARGS,"Ki"},
+    {"Kd", (PyCFunction) Method_arm_pid_instance_f32_Kd,METH_NOARGS,"Kd"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_pid_instance_f32,arm_pid_instance_f32_new,arm_pid_instance_f32_dealloc,arm_pid_instance_f32_init,arm_pid_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_linear_interp_instance_f32 *instance;
+} ml_arm_linear_interp_instance_f32Object;
+
+
+static void
+arm_linear_interp_instance_f32_dealloc(ml_arm_linear_interp_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pYData)
+       {
+          PyMem_Free(self->instance->pYData);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_linear_interp_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_linear_interp_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_linear_interp_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_linear_interp_instance_f32));
+
+        self->instance->pYData = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_linear_interp_instance_f32_init(ml_arm_linear_interp_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pYData=NULL;
+char *kwlist[] = {
+"nValues","x1","xSpacing","pYData",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|iffO", kwlist,&self->instance->nValues
+,&self->instance->x1
+,&self->instance->xSpacing
+,&pYData
+))
+    {
+
+    INITARRAYFIELD(pYData,NPY_DOUBLE,double,float32_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_linear_interp_instance_f32,nValues,"i");
+GETFIELD(arm_linear_interp_instance_f32,x1,"f");
+GETFIELD(arm_linear_interp_instance_f32,xSpacing,"f");
+
+
+static PyMethodDef arm_linear_interp_instance_f32_methods[] = {
+
+    {"nValues", (PyCFunction) Method_arm_linear_interp_instance_f32_nValues,METH_NOARGS,"nValues"},
+    {"x1", (PyCFunction) Method_arm_linear_interp_instance_f32_x1,METH_NOARGS,"x1"},
+    {"xSpacing", (PyCFunction) Method_arm_linear_interp_instance_f32_xSpacing,METH_NOARGS,"xSpacing"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_linear_interp_instance_f32,arm_linear_interp_instance_f32_new,arm_linear_interp_instance_f32_dealloc,arm_linear_interp_instance_f32_init,arm_linear_interp_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_bilinear_interp_instance_f32 *instance;
+} ml_arm_bilinear_interp_instance_f32Object;
+
+
+static void
+arm_bilinear_interp_instance_f32_dealloc(ml_arm_bilinear_interp_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pData)
+       {
+          PyMem_Free(self->instance->pData);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_bilinear_interp_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_bilinear_interp_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_bilinear_interp_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_bilinear_interp_instance_f32));
+
+        self->instance->pData = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_bilinear_interp_instance_f32_init(ml_arm_bilinear_interp_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pData=NULL;
+char *kwlist[] = {
+"numRows","numCols","pData",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhO", kwlist,&self->instance->numRows
+,&self->instance->numCols
+,&pData
+))
+    {
+
+    INITARRAYFIELD(pData,NPY_DOUBLE,double,float32_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_bilinear_interp_instance_f32,numRows,"h");
+GETFIELD(arm_bilinear_interp_instance_f32,numCols,"h");
+
+
+static PyMethodDef arm_bilinear_interp_instance_f32_methods[] = {
+
+    {"numRows", (PyCFunction) Method_arm_bilinear_interp_instance_f32_numRows,METH_NOARGS,"numRows"},
+    {"numCols", (PyCFunction) Method_arm_bilinear_interp_instance_f32_numCols,METH_NOARGS,"numCols"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_bilinear_interp_instance_f32,arm_bilinear_interp_instance_f32_new,arm_bilinear_interp_instance_f32_dealloc,arm_bilinear_interp_instance_f32_init,arm_bilinear_interp_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_bilinear_interp_instance_q31 *instance;
+} ml_arm_bilinear_interp_instance_q31Object;
+
+
+static void
+arm_bilinear_interp_instance_q31_dealloc(ml_arm_bilinear_interp_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pData)
+       {
+          PyMem_Free(self->instance->pData);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_bilinear_interp_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_bilinear_interp_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_bilinear_interp_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_bilinear_interp_instance_q31));
+
+        self->instance->pData = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_bilinear_interp_instance_q31_init(ml_arm_bilinear_interp_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pData=NULL;
+char *kwlist[] = {
+"numRows","numCols","pData",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhO", kwlist,&self->instance->numRows
+,&self->instance->numCols
+,&pData
+))
+    {
+
+    INITARRAYFIELD(pData,NPY_INT32,int32_t,int32_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_bilinear_interp_instance_q31,numRows,"h");
+GETFIELD(arm_bilinear_interp_instance_q31,numCols,"h");
+
+
+static PyMethodDef arm_bilinear_interp_instance_q31_methods[] = {
+
+    {"numRows", (PyCFunction) Method_arm_bilinear_interp_instance_q31_numRows,METH_NOARGS,"numRows"},
+    {"numCols", (PyCFunction) Method_arm_bilinear_interp_instance_q31_numCols,METH_NOARGS,"numCols"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_bilinear_interp_instance_q31,arm_bilinear_interp_instance_q31_new,arm_bilinear_interp_instance_q31_dealloc,arm_bilinear_interp_instance_q31_init,arm_bilinear_interp_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_bilinear_interp_instance_q15 *instance;
+} ml_arm_bilinear_interp_instance_q15Object;
+
+
+static void
+arm_bilinear_interp_instance_q15_dealloc(ml_arm_bilinear_interp_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pData)
+       {
+          PyMem_Free(self->instance->pData);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_bilinear_interp_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_bilinear_interp_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_bilinear_interp_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_bilinear_interp_instance_q15));
+
+        self->instance->pData = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_bilinear_interp_instance_q15_init(ml_arm_bilinear_interp_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pData=NULL;
+char *kwlist[] = {
+"numRows","numCols","pData",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhO", kwlist,&self->instance->numRows
+,&self->instance->numCols
+,&pData
+))
+    {
+
+    INITARRAYFIELD(pData,NPY_INT16,int16_t,int16_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_bilinear_interp_instance_q15,numRows,"h");
+GETFIELD(arm_bilinear_interp_instance_q15,numCols,"h");
+
+
+static PyMethodDef arm_bilinear_interp_instance_q15_methods[] = {
+
+    {"numRows", (PyCFunction) Method_arm_bilinear_interp_instance_q15_numRows,METH_NOARGS,"numRows"},
+    {"numCols", (PyCFunction) Method_arm_bilinear_interp_instance_q15_numCols,METH_NOARGS,"numCols"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_bilinear_interp_instance_q15,arm_bilinear_interp_instance_q15_new,arm_bilinear_interp_instance_q15_dealloc,arm_bilinear_interp_instance_q15_init,arm_bilinear_interp_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_bilinear_interp_instance_q7 *instance;
+} ml_arm_bilinear_interp_instance_q7Object;
+
+
+static void
+arm_bilinear_interp_instance_q7_dealloc(ml_arm_bilinear_interp_instance_q7Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pData)
+       {
+          PyMem_Free(self->instance->pData);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_bilinear_interp_instance_q7_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_bilinear_interp_instance_q7Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_bilinear_interp_instance_q7Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_bilinear_interp_instance_q7));
+
+        self->instance->pData = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_bilinear_interp_instance_q7_init(ml_arm_bilinear_interp_instance_q7Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pData=NULL;
+char *kwlist[] = {
+"numRows","numCols","pData",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhO", kwlist,&self->instance->numRows
+,&self->instance->numCols
+,&pData
+))
+    {
+
+    INITARRAYFIELD(pData,NPY_BYTE,int8_t,q7_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_bilinear_interp_instance_q7,numRows,"h");
+GETFIELD(arm_bilinear_interp_instance_q7,numCols,"h");
+
+
+static PyMethodDef arm_bilinear_interp_instance_q7_methods[] = {
+
+    {"numRows", (PyCFunction) Method_arm_bilinear_interp_instance_q7_numRows,METH_NOARGS,"numRows"},
+    {"numCols", (PyCFunction) Method_arm_bilinear_interp_instance_q7_numCols,METH_NOARGS,"numCols"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_bilinear_interp_instance_q7,arm_bilinear_interp_instance_q7_new,arm_bilinear_interp_instance_q7_dealloc,arm_bilinear_interp_instance_q7_init,arm_bilinear_interp_instance_q7_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_cfft_radix2_instance_q15 *instance;
+} ml_arm_cfft_radix2_instance_q15Object;
+
+
+static void
+arm_cfft_radix2_instance_q15_dealloc(ml_arm_cfft_radix2_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_cfft_radix2_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_cfft_radix2_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_cfft_radix2_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_cfft_radix2_instance_q15));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pBitRevTable = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_cfft_radix2_instance_q15_init(ml_arm_cfft_radix2_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pBitRevTable=NULL;
+char *kwlist[] = {
+"fftLen","ifftFlag","bitReverseFlag","twidCoefModifier","bitRevFactor",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hiihh", kwlist,&self->instance->fftLen
+,&self->instance->ifftFlag
+,&self->instance->bitReverseFlag
+,&self->instance->twidCoefModifier
+,&self->instance->bitRevFactor
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_cfft_radix2_instance_q15,fftLen,"h");
+GETFIELD(arm_cfft_radix2_instance_q15,ifftFlag,"i");
+GETFIELD(arm_cfft_radix2_instance_q15,bitReverseFlag,"i");
+GETFIELD(arm_cfft_radix2_instance_q15,twidCoefModifier,"h");
+GETFIELD(arm_cfft_radix2_instance_q15,bitRevFactor,"h");
+
+
+static PyMethodDef arm_cfft_radix2_instance_q15_methods[] = {
+
+    {"fftLen", (PyCFunction) Method_arm_cfft_radix2_instance_q15_fftLen,METH_NOARGS,"fftLen"},
+    {"ifftFlag", (PyCFunction) Method_arm_cfft_radix2_instance_q15_ifftFlag,METH_NOARGS,"ifftFlag"},
+    {"bitReverseFlag", (PyCFunction) Method_arm_cfft_radix2_instance_q15_bitReverseFlag,METH_NOARGS,"bitReverseFlag"},
+    {"twidCoefModifier", (PyCFunction) Method_arm_cfft_radix2_instance_q15_twidCoefModifier,METH_NOARGS,"twidCoefModifier"},
+    {"bitRevFactor", (PyCFunction) Method_arm_cfft_radix2_instance_q15_bitRevFactor,METH_NOARGS,"bitRevFactor"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_cfft_radix2_instance_q15,arm_cfft_radix2_instance_q15_new,arm_cfft_radix2_instance_q15_dealloc,arm_cfft_radix2_instance_q15_init,arm_cfft_radix2_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_cfft_radix4_instance_q15 *instance;
+} ml_arm_cfft_radix4_instance_q15Object;
+
+
+static void
+arm_cfft_radix4_instance_q15_dealloc(ml_arm_cfft_radix4_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_cfft_radix4_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_cfft_radix4_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_cfft_radix4_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_cfft_radix4_instance_q15));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pBitRevTable = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_cfft_radix4_instance_q15_init(ml_arm_cfft_radix4_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pBitRevTable=NULL;
+char *kwlist[] = {
+"fftLen","ifftFlag","bitReverseFlag","twidCoefModifier","bitRevFactor",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hiihh", kwlist,&self->instance->fftLen
+,&self->instance->ifftFlag
+,&self->instance->bitReverseFlag
+,&self->instance->twidCoefModifier
+,&self->instance->bitRevFactor
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_cfft_radix4_instance_q15,fftLen,"h");
+GETFIELD(arm_cfft_radix4_instance_q15,ifftFlag,"i");
+GETFIELD(arm_cfft_radix4_instance_q15,bitReverseFlag,"i");
+GETFIELD(arm_cfft_radix4_instance_q15,twidCoefModifier,"h");
+GETFIELD(arm_cfft_radix4_instance_q15,bitRevFactor,"h");
+
+
+static PyMethodDef arm_cfft_radix4_instance_q15_methods[] = {
+
+    {"fftLen", (PyCFunction) Method_arm_cfft_radix4_instance_q15_fftLen,METH_NOARGS,"fftLen"},
+    {"ifftFlag", (PyCFunction) Method_arm_cfft_radix4_instance_q15_ifftFlag,METH_NOARGS,"ifftFlag"},
+    {"bitReverseFlag", (PyCFunction) Method_arm_cfft_radix4_instance_q15_bitReverseFlag,METH_NOARGS,"bitReverseFlag"},
+    {"twidCoefModifier", (PyCFunction) Method_arm_cfft_radix4_instance_q15_twidCoefModifier,METH_NOARGS,"twidCoefModifier"},
+    {"bitRevFactor", (PyCFunction) Method_arm_cfft_radix4_instance_q15_bitRevFactor,METH_NOARGS,"bitRevFactor"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_cfft_radix4_instance_q15,arm_cfft_radix4_instance_q15_new,arm_cfft_radix4_instance_q15_dealloc,arm_cfft_radix4_instance_q15_init,arm_cfft_radix4_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_cfft_radix2_instance_q31 *instance;
+} ml_arm_cfft_radix2_instance_q31Object;
+
+
+static void
+arm_cfft_radix2_instance_q31_dealloc(ml_arm_cfft_radix2_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_cfft_radix2_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_cfft_radix2_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_cfft_radix2_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_cfft_radix2_instance_q31));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pBitRevTable = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_cfft_radix2_instance_q31_init(ml_arm_cfft_radix2_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pBitRevTable=NULL;
+char *kwlist[] = {
+"fftLen","ifftFlag","bitReverseFlag","twidCoefModifier","bitRevFactor",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hiihh", kwlist,&self->instance->fftLen
+,&self->instance->ifftFlag
+,&self->instance->bitReverseFlag
+,&self->instance->twidCoefModifier
+,&self->instance->bitRevFactor
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_cfft_radix2_instance_q31,fftLen,"h");
+GETFIELD(arm_cfft_radix2_instance_q31,ifftFlag,"i");
+GETFIELD(arm_cfft_radix2_instance_q31,bitReverseFlag,"i");
+GETFIELD(arm_cfft_radix2_instance_q31,twidCoefModifier,"h");
+GETFIELD(arm_cfft_radix2_instance_q31,bitRevFactor,"h");
+
+
+static PyMethodDef arm_cfft_radix2_instance_q31_methods[] = {
+
+    {"fftLen", (PyCFunction) Method_arm_cfft_radix2_instance_q31_fftLen,METH_NOARGS,"fftLen"},
+    {"ifftFlag", (PyCFunction) Method_arm_cfft_radix2_instance_q31_ifftFlag,METH_NOARGS,"ifftFlag"},
+    {"bitReverseFlag", (PyCFunction) Method_arm_cfft_radix2_instance_q31_bitReverseFlag,METH_NOARGS,"bitReverseFlag"},
+    {"twidCoefModifier", (PyCFunction) Method_arm_cfft_radix2_instance_q31_twidCoefModifier,METH_NOARGS,"twidCoefModifier"},
+    {"bitRevFactor", (PyCFunction) Method_arm_cfft_radix2_instance_q31_bitRevFactor,METH_NOARGS,"bitRevFactor"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_cfft_radix2_instance_q31,arm_cfft_radix2_instance_q31_new,arm_cfft_radix2_instance_q31_dealloc,arm_cfft_radix2_instance_q31_init,arm_cfft_radix2_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_cfft_radix4_instance_q31 *instance;
+} ml_arm_cfft_radix4_instance_q31Object;
+
+
+static void
+arm_cfft_radix4_instance_q31_dealloc(ml_arm_cfft_radix4_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_cfft_radix4_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_cfft_radix4_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_cfft_radix4_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_cfft_radix4_instance_q31));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pBitRevTable = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_cfft_radix4_instance_q31_init(ml_arm_cfft_radix4_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pBitRevTable=NULL;
+char *kwlist[] = {
+"fftLen","ifftFlag","bitReverseFlag","twidCoefModifier","bitRevFactor",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hiihh", kwlist,&self->instance->fftLen
+,&self->instance->ifftFlag
+,&self->instance->bitReverseFlag
+,&self->instance->twidCoefModifier
+,&self->instance->bitRevFactor
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_cfft_radix4_instance_q31,fftLen,"h");
+GETFIELD(arm_cfft_radix4_instance_q31,ifftFlag,"i");
+GETFIELD(arm_cfft_radix4_instance_q31,bitReverseFlag,"i");
+GETFIELD(arm_cfft_radix4_instance_q31,twidCoefModifier,"h");
+GETFIELD(arm_cfft_radix4_instance_q31,bitRevFactor,"h");
+
+
+static PyMethodDef arm_cfft_radix4_instance_q31_methods[] = {
+
+    {"fftLen", (PyCFunction) Method_arm_cfft_radix4_instance_q31_fftLen,METH_NOARGS,"fftLen"},
+    {"ifftFlag", (PyCFunction) Method_arm_cfft_radix4_instance_q31_ifftFlag,METH_NOARGS,"ifftFlag"},
+    {"bitReverseFlag", (PyCFunction) Method_arm_cfft_radix4_instance_q31_bitReverseFlag,METH_NOARGS,"bitReverseFlag"},
+    {"twidCoefModifier", (PyCFunction) Method_arm_cfft_radix4_instance_q31_twidCoefModifier,METH_NOARGS,"twidCoefModifier"},
+    {"bitRevFactor", (PyCFunction) Method_arm_cfft_radix4_instance_q31_bitRevFactor,METH_NOARGS,"bitRevFactor"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_cfft_radix4_instance_q31,arm_cfft_radix4_instance_q31_new,arm_cfft_radix4_instance_q31_dealloc,arm_cfft_radix4_instance_q31_init,arm_cfft_radix4_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_cfft_radix2_instance_f32 *instance;
+} ml_arm_cfft_radix2_instance_f32Object;
+
+
+static void
+arm_cfft_radix2_instance_f32_dealloc(ml_arm_cfft_radix2_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_cfft_radix2_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_cfft_radix2_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_cfft_radix2_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_cfft_radix2_instance_f32));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pBitRevTable = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_cfft_radix2_instance_f32_init(ml_arm_cfft_radix2_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pBitRevTable=NULL;
+char *kwlist[] = {
+"fftLen","ifftFlag","bitReverseFlag","twidCoefModifier","bitRevFactor","onebyfftLen",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hiihhf", kwlist,&self->instance->fftLen
+,&self->instance->ifftFlag
+,&self->instance->bitReverseFlag
+,&self->instance->twidCoefModifier
+,&self->instance->bitRevFactor
+,&self->instance->onebyfftLen
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_cfft_radix2_instance_f32,fftLen,"h");
+GETFIELD(arm_cfft_radix2_instance_f32,ifftFlag,"i");
+GETFIELD(arm_cfft_radix2_instance_f32,bitReverseFlag,"i");
+GETFIELD(arm_cfft_radix2_instance_f32,twidCoefModifier,"h");
+GETFIELD(arm_cfft_radix2_instance_f32,bitRevFactor,"h");
+GETFIELD(arm_cfft_radix2_instance_f32,onebyfftLen,"f");
+
+
+static PyMethodDef arm_cfft_radix2_instance_f32_methods[] = {
+
+    {"fftLen", (PyCFunction) Method_arm_cfft_radix2_instance_f32_fftLen,METH_NOARGS,"fftLen"},
+    {"ifftFlag", (PyCFunction) Method_arm_cfft_radix2_instance_f32_ifftFlag,METH_NOARGS,"ifftFlag"},
+    {"bitReverseFlag", (PyCFunction) Method_arm_cfft_radix2_instance_f32_bitReverseFlag,METH_NOARGS,"bitReverseFlag"},
+    {"twidCoefModifier", (PyCFunction) Method_arm_cfft_radix2_instance_f32_twidCoefModifier,METH_NOARGS,"twidCoefModifier"},
+    {"bitRevFactor", (PyCFunction) Method_arm_cfft_radix2_instance_f32_bitRevFactor,METH_NOARGS,"bitRevFactor"},
+    {"onebyfftLen", (PyCFunction) Method_arm_cfft_radix2_instance_f32_onebyfftLen,METH_NOARGS,"onebyfftLen"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_cfft_radix2_instance_f32,arm_cfft_radix2_instance_f32_new,arm_cfft_radix2_instance_f32_dealloc,arm_cfft_radix2_instance_f32_init,arm_cfft_radix2_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_cfft_radix4_instance_f32 *instance;
+} ml_arm_cfft_radix4_instance_f32Object;
+
+
+static void
+arm_cfft_radix4_instance_f32_dealloc(ml_arm_cfft_radix4_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_cfft_radix4_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_cfft_radix4_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_cfft_radix4_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_cfft_radix4_instance_f32));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pBitRevTable = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_cfft_radix4_instance_f32_init(ml_arm_cfft_radix4_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pBitRevTable=NULL;
+char *kwlist[] = {
+"fftLen","ifftFlag","bitReverseFlag","twidCoefModifier","bitRevFactor","onebyfftLen",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hiihhf", kwlist,&self->instance->fftLen
+,&self->instance->ifftFlag
+,&self->instance->bitReverseFlag
+,&self->instance->twidCoefModifier
+,&self->instance->bitRevFactor
+,&self->instance->onebyfftLen
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_cfft_radix4_instance_f32,fftLen,"h");
+GETFIELD(arm_cfft_radix4_instance_f32,ifftFlag,"i");
+GETFIELD(arm_cfft_radix4_instance_f32,bitReverseFlag,"i");
+GETFIELD(arm_cfft_radix4_instance_f32,twidCoefModifier,"h");
+GETFIELD(arm_cfft_radix4_instance_f32,bitRevFactor,"h");
+GETFIELD(arm_cfft_radix4_instance_f32,onebyfftLen,"f");
+
+
+static PyMethodDef arm_cfft_radix4_instance_f32_methods[] = {
+
+    {"fftLen", (PyCFunction) Method_arm_cfft_radix4_instance_f32_fftLen,METH_NOARGS,"fftLen"},
+    {"ifftFlag", (PyCFunction) Method_arm_cfft_radix4_instance_f32_ifftFlag,METH_NOARGS,"ifftFlag"},
+    {"bitReverseFlag", (PyCFunction) Method_arm_cfft_radix4_instance_f32_bitReverseFlag,METH_NOARGS,"bitReverseFlag"},
+    {"twidCoefModifier", (PyCFunction) Method_arm_cfft_radix4_instance_f32_twidCoefModifier,METH_NOARGS,"twidCoefModifier"},
+    {"bitRevFactor", (PyCFunction) Method_arm_cfft_radix4_instance_f32_bitRevFactor,METH_NOARGS,"bitRevFactor"},
+    {"onebyfftLen", (PyCFunction) Method_arm_cfft_radix4_instance_f32_onebyfftLen,METH_NOARGS,"onebyfftLen"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_cfft_radix4_instance_f32,arm_cfft_radix4_instance_f32_new,arm_cfft_radix4_instance_f32_dealloc,arm_cfft_radix4_instance_f32_init,arm_cfft_radix4_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_cfft_instance_q15 *instance;
+} ml_arm_cfft_instance_q15Object;
+
+
+static void
+arm_cfft_instance_q15_dealloc(ml_arm_cfft_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_cfft_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_cfft_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_cfft_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_cfft_instance_q15));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pBitRevTable = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_cfft_instance_q15_init(ml_arm_cfft_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pBitRevTable=NULL;
+char *kwlist[] = {
+"fftLen","bitRevLength",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hh", kwlist,&self->instance->fftLen
+,&self->instance->bitRevLength
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_cfft_instance_q15,fftLen,"h");
+GETFIELD(arm_cfft_instance_q15,bitRevLength,"h");
+
+
+static PyMethodDef arm_cfft_instance_q15_methods[] = {
+
+    {"fftLen", (PyCFunction) Method_arm_cfft_instance_q15_fftLen,METH_NOARGS,"fftLen"},
+    {"bitRevLength", (PyCFunction) Method_arm_cfft_instance_q15_bitRevLength,METH_NOARGS,"bitRevLength"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_cfft_instance_q15,arm_cfft_instance_q15_new,arm_cfft_instance_q15_dealloc,arm_cfft_instance_q15_init,arm_cfft_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_cfft_instance_q31 *instance;
+} ml_arm_cfft_instance_q31Object;
+
+
+static void
+arm_cfft_instance_q31_dealloc(ml_arm_cfft_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_cfft_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_cfft_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_cfft_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_cfft_instance_q31));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pBitRevTable = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_cfft_instance_q31_init(ml_arm_cfft_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pBitRevTable=NULL;
+char *kwlist[] = {
+"fftLen","bitRevLength",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hh", kwlist,&self->instance->fftLen
+,&self->instance->bitRevLength
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_cfft_instance_q31,fftLen,"h");
+GETFIELD(arm_cfft_instance_q31,bitRevLength,"h");
+
+
+static PyMethodDef arm_cfft_instance_q31_methods[] = {
+
+    {"fftLen", (PyCFunction) Method_arm_cfft_instance_q31_fftLen,METH_NOARGS,"fftLen"},
+    {"bitRevLength", (PyCFunction) Method_arm_cfft_instance_q31_bitRevLength,METH_NOARGS,"bitRevLength"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_cfft_instance_q31,arm_cfft_instance_q31_new,arm_cfft_instance_q31_dealloc,arm_cfft_instance_q31_init,arm_cfft_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_cfft_instance_f32 *instance;
+} ml_arm_cfft_instance_f32Object;
+
+
+static void
+arm_cfft_instance_f32_dealloc(ml_arm_cfft_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_cfft_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_cfft_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_cfft_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_cfft_instance_f32));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pBitRevTable = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_cfft_instance_f32_init(ml_arm_cfft_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pBitRevTable=NULL;
+char *kwlist[] = {
+"fftLen","bitRevLength",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hh", kwlist,&self->instance->fftLen
+,&self->instance->bitRevLength
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_cfft_instance_f32,fftLen,"h");
+GETFIELD(arm_cfft_instance_f32,bitRevLength,"h");
+
+
+static PyMethodDef arm_cfft_instance_f32_methods[] = {
+
+    {"fftLen", (PyCFunction) Method_arm_cfft_instance_f32_fftLen,METH_NOARGS,"fftLen"},
+    {"bitRevLength", (PyCFunction) Method_arm_cfft_instance_f32_bitRevLength,METH_NOARGS,"bitRevLength"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_cfft_instance_f32,arm_cfft_instance_f32_new,arm_cfft_instance_f32_dealloc,arm_cfft_instance_f32_init,arm_cfft_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_rfft_instance_q15 *instance;
+} ml_arm_rfft_instance_q15Object;
+
+
+static void
+arm_rfft_instance_q15_dealloc(ml_arm_rfft_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_rfft_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_rfft_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_rfft_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_rfft_instance_q15));
+
+        self->instance->pTwiddleAReal = NULL;
+        self->instance->pTwiddleBReal = NULL;
+        self->instance->pCfft = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_rfft_instance_q15_init(ml_arm_rfft_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddleAReal=NULL;
+    PyObject *pTwiddleBReal=NULL;
+    PyObject *pCfft=NULL;
+char *kwlist[] = {
+"fftLenReal","ifftFlagR","bitReverseFlagR","twidCoefRModifier",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|iiii", kwlist,&self->instance->fftLenReal
+,&self->instance->ifftFlagR
+,&self->instance->bitReverseFlagR
+,&self->instance->twidCoefRModifier
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_rfft_instance_q15,fftLenReal,"i");
+GETFIELD(arm_rfft_instance_q15,ifftFlagR,"i");
+GETFIELD(arm_rfft_instance_q15,bitReverseFlagR,"i");
+GETFIELD(arm_rfft_instance_q15,twidCoefRModifier,"i");
+
+
+static PyMethodDef arm_rfft_instance_q15_methods[] = {
+
+    {"fftLenReal", (PyCFunction) Method_arm_rfft_instance_q15_fftLenReal,METH_NOARGS,"fftLenReal"},
+    {"ifftFlagR", (PyCFunction) Method_arm_rfft_instance_q15_ifftFlagR,METH_NOARGS,"ifftFlagR"},
+    {"bitReverseFlagR", (PyCFunction) Method_arm_rfft_instance_q15_bitReverseFlagR,METH_NOARGS,"bitReverseFlagR"},
+    {"twidCoefRModifier", (PyCFunction) Method_arm_rfft_instance_q15_twidCoefRModifier,METH_NOARGS,"twidCoefRModifier"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_rfft_instance_q15,arm_rfft_instance_q15_new,arm_rfft_instance_q15_dealloc,arm_rfft_instance_q15_init,arm_rfft_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_rfft_instance_q31 *instance;
+} ml_arm_rfft_instance_q31Object;
+
+
+static void
+arm_rfft_instance_q31_dealloc(ml_arm_rfft_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_rfft_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_rfft_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_rfft_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_rfft_instance_q31));
+
+        self->instance->pTwiddleAReal = NULL;
+        self->instance->pTwiddleBReal = NULL;
+        self->instance->pCfft = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_rfft_instance_q31_init(ml_arm_rfft_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddleAReal=NULL;
+    PyObject *pTwiddleBReal=NULL;
+    PyObject *pCfft=NULL;
+char *kwlist[] = {
+"fftLenReal","ifftFlagR","bitReverseFlagR","twidCoefRModifier",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|iiii", kwlist,&self->instance->fftLenReal
+,&self->instance->ifftFlagR
+,&self->instance->bitReverseFlagR
+,&self->instance->twidCoefRModifier
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_rfft_instance_q31,fftLenReal,"i");
+GETFIELD(arm_rfft_instance_q31,ifftFlagR,"i");
+GETFIELD(arm_rfft_instance_q31,bitReverseFlagR,"i");
+GETFIELD(arm_rfft_instance_q31,twidCoefRModifier,"i");
+
+
+static PyMethodDef arm_rfft_instance_q31_methods[] = {
+
+    {"fftLenReal", (PyCFunction) Method_arm_rfft_instance_q31_fftLenReal,METH_NOARGS,"fftLenReal"},
+    {"ifftFlagR", (PyCFunction) Method_arm_rfft_instance_q31_ifftFlagR,METH_NOARGS,"ifftFlagR"},
+    {"bitReverseFlagR", (PyCFunction) Method_arm_rfft_instance_q31_bitReverseFlagR,METH_NOARGS,"bitReverseFlagR"},
+    {"twidCoefRModifier", (PyCFunction) Method_arm_rfft_instance_q31_twidCoefRModifier,METH_NOARGS,"twidCoefRModifier"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_rfft_instance_q31,arm_rfft_instance_q31_new,arm_rfft_instance_q31_dealloc,arm_rfft_instance_q31_init,arm_rfft_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_rfft_instance_f32 *instance;
+} ml_arm_rfft_instance_f32Object;
+
+
+static void
+arm_rfft_instance_f32_dealloc(ml_arm_rfft_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_rfft_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_rfft_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_rfft_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_rfft_instance_f32));
+
+        self->instance->pTwiddleAReal = NULL;
+        self->instance->pTwiddleBReal = NULL;
+        self->instance->pCfft = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_rfft_instance_f32_init(ml_arm_rfft_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddleAReal=NULL;
+    PyObject *pTwiddleBReal=NULL;
+    PyObject *pCfft=NULL;
+char *kwlist[] = {
+"fftLenReal","fftLenBy2","ifftFlagR","bitReverseFlagR","twidCoefRModifier",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|ihiii", kwlist,&self->instance->fftLenReal
+,&self->instance->fftLenBy2
+,&self->instance->ifftFlagR
+,&self->instance->bitReverseFlagR
+,&self->instance->twidCoefRModifier
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_rfft_instance_f32,fftLenReal,"i");
+GETFIELD(arm_rfft_instance_f32,fftLenBy2,"h");
+GETFIELD(arm_rfft_instance_f32,ifftFlagR,"i");
+GETFIELD(arm_rfft_instance_f32,bitReverseFlagR,"i");
+GETFIELD(arm_rfft_instance_f32,twidCoefRModifier,"i");
+
+
+static PyMethodDef arm_rfft_instance_f32_methods[] = {
+
+    {"fftLenReal", (PyCFunction) Method_arm_rfft_instance_f32_fftLenReal,METH_NOARGS,"fftLenReal"},
+    {"fftLenBy2", (PyCFunction) Method_arm_rfft_instance_f32_fftLenBy2,METH_NOARGS,"fftLenBy2"},
+    {"ifftFlagR", (PyCFunction) Method_arm_rfft_instance_f32_ifftFlagR,METH_NOARGS,"ifftFlagR"},
+    {"bitReverseFlagR", (PyCFunction) Method_arm_rfft_instance_f32_bitReverseFlagR,METH_NOARGS,"bitReverseFlagR"},
+    {"twidCoefRModifier", (PyCFunction) Method_arm_rfft_instance_f32_twidCoefRModifier,METH_NOARGS,"twidCoefRModifier"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_rfft_instance_f32,arm_rfft_instance_f32_new,arm_rfft_instance_f32_dealloc,arm_rfft_instance_f32_init,arm_rfft_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_rfft_fast_instance_f32 *instance;
+} ml_arm_rfft_fast_instance_f32Object;
+
+
+static void
+arm_rfft_fast_instance_f32_dealloc(ml_arm_rfft_fast_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_rfft_fast_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_rfft_fast_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_rfft_fast_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_rfft_fast_instance_f32));
+
+        self->instance->pTwiddleRFFT = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_rfft_fast_instance_f32_init(ml_arm_rfft_fast_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddleRFFT=NULL;
+char *kwlist[] = {
+"Sint","fftLenRFFT",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|?h", kwlist,&self->instance->Sint
+,&self->instance->fftLenRFFT
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_rfft_fast_instance_f32,Sint,"?");
+GETFIELD(arm_rfft_fast_instance_f32,fftLenRFFT,"h");
+
+
+static PyMethodDef arm_rfft_fast_instance_f32_methods[] = {
+
+    {"Sint", (PyCFunction) Method_arm_rfft_fast_instance_f32_Sint,METH_NOARGS,"Sint"},
+    {"fftLenRFFT", (PyCFunction) Method_arm_rfft_fast_instance_f32_fftLenRFFT,METH_NOARGS,"fftLenRFFT"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_rfft_fast_instance_f32,arm_rfft_fast_instance_f32_new,arm_rfft_fast_instance_f32_dealloc,arm_rfft_fast_instance_f32_init,arm_rfft_fast_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_dct4_instance_f32 *instance;
+} ml_arm_dct4_instance_f32Object;
+
+
+static void
+arm_dct4_instance_f32_dealloc(ml_arm_dct4_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_dct4_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_dct4_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_dct4_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_dct4_instance_f32));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pCosFactor = NULL;
+        self->instance->pRfft = NULL;
+        self->instance->pCfft = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_dct4_instance_f32_init(ml_arm_dct4_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pCosFactor=NULL;
+    PyObject *pRfft=NULL;
+    PyObject *pCfft=NULL;
+char *kwlist[] = {
+"N","Nby2","normalize",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhf", kwlist,&self->instance->N
+,&self->instance->Nby2
+,&self->instance->normalize
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_dct4_instance_f32,N,"h");
+GETFIELD(arm_dct4_instance_f32,Nby2,"h");
+GETFIELD(arm_dct4_instance_f32,normalize,"f");
+
+
+static PyMethodDef arm_dct4_instance_f32_methods[] = {
+
+    {"N", (PyCFunction) Method_arm_dct4_instance_f32_N,METH_NOARGS,"N"},
+    {"Nby2", (PyCFunction) Method_arm_dct4_instance_f32_Nby2,METH_NOARGS,"Nby2"},
+    {"normalize", (PyCFunction) Method_arm_dct4_instance_f32_normalize,METH_NOARGS,"normalize"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_dct4_instance_f32,arm_dct4_instance_f32_new,arm_dct4_instance_f32_dealloc,arm_dct4_instance_f32_init,arm_dct4_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_dct4_instance_q31 *instance;
+} ml_arm_dct4_instance_q31Object;
+
+
+static void
+arm_dct4_instance_q31_dealloc(ml_arm_dct4_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_dct4_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_dct4_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_dct4_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_dct4_instance_q31));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pCosFactor = NULL;
+        self->instance->pRfft = NULL;
+        self->instance->pCfft = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_dct4_instance_q31_init(ml_arm_dct4_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pCosFactor=NULL;
+    PyObject *pRfft=NULL;
+    PyObject *pCfft=NULL;
+char *kwlist[] = {
+"N","Nby2","normalize",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhi", kwlist,&self->instance->N
+,&self->instance->Nby2
+,&self->instance->normalize
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_dct4_instance_q31,N,"h");
+GETFIELD(arm_dct4_instance_q31,Nby2,"h");
+GETFIELD(arm_dct4_instance_q31,normalize,"i");
+
+
+static PyMethodDef arm_dct4_instance_q31_methods[] = {
+
+    {"N", (PyCFunction) Method_arm_dct4_instance_q31_N,METH_NOARGS,"N"},
+    {"Nby2", (PyCFunction) Method_arm_dct4_instance_q31_Nby2,METH_NOARGS,"Nby2"},
+    {"normalize", (PyCFunction) Method_arm_dct4_instance_q31_normalize,METH_NOARGS,"normalize"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_dct4_instance_q31,arm_dct4_instance_q31_new,arm_dct4_instance_q31_dealloc,arm_dct4_instance_q31_init,arm_dct4_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_dct4_instance_q15 *instance;
+} ml_arm_dct4_instance_q15Object;
+
+
+static void
+arm_dct4_instance_q15_dealloc(ml_arm_dct4_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_dct4_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_dct4_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_dct4_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_dct4_instance_q15));
+
+        self->instance->pTwiddle = NULL;
+        self->instance->pCosFactor = NULL;
+        self->instance->pRfft = NULL;
+        self->instance->pCfft = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_dct4_instance_q15_init(ml_arm_dct4_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pTwiddle=NULL;
+    PyObject *pCosFactor=NULL;
+    PyObject *pRfft=NULL;
+    PyObject *pCfft=NULL;
+char *kwlist[] = {
+"N","Nby2","normalize",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhh", kwlist,&self->instance->N
+,&self->instance->Nby2
+,&self->instance->normalize
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_dct4_instance_q15,N,"h");
+GETFIELD(arm_dct4_instance_q15,Nby2,"h");
+GETFIELD(arm_dct4_instance_q15,normalize,"h");
+
+
+static PyMethodDef arm_dct4_instance_q15_methods[] = {
+
+    {"N", (PyCFunction) Method_arm_dct4_instance_q15_N,METH_NOARGS,"N"},
+    {"Nby2", (PyCFunction) Method_arm_dct4_instance_q15_Nby2,METH_NOARGS,"Nby2"},
+    {"normalize", (PyCFunction) Method_arm_dct4_instance_q15_normalize,METH_NOARGS,"normalize"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_dct4_instance_q15,arm_dct4_instance_q15_new,arm_dct4_instance_q15_dealloc,arm_dct4_instance_q15_init,arm_dct4_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_decimate_instance_q15 *instance;
+} ml_arm_fir_decimate_instance_q15Object;
+
+
+static void
+arm_fir_decimate_instance_q15_dealloc(ml_arm_fir_decimate_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_decimate_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_decimate_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_decimate_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_decimate_instance_q15));
+
+        self->instance->pCoeffs = NULL;
+        self->instance->pState = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_decimate_instance_q15_init(ml_arm_fir_decimate_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pCoeffs=NULL;
+    PyObject *pState=NULL;
+char *kwlist[] = {
+"M","numTaps",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|ih", kwlist,&self->instance->M
+,&self->instance->numTaps
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_decimate_instance_q15,M,"i");
+GETFIELD(arm_fir_decimate_instance_q15,numTaps,"h");
+
+
+static PyMethodDef arm_fir_decimate_instance_q15_methods[] = {
+
+    {"M", (PyCFunction) Method_arm_fir_decimate_instance_q15_M,METH_NOARGS,"M"},
+    {"numTaps", (PyCFunction) Method_arm_fir_decimate_instance_q15_numTaps,METH_NOARGS,"numTaps"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_decimate_instance_q15,arm_fir_decimate_instance_q15_new,arm_fir_decimate_instance_q15_dealloc,arm_fir_decimate_instance_q15_init,arm_fir_decimate_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_decimate_instance_q31 *instance;
+} ml_arm_fir_decimate_instance_q31Object;
+
+
+static void
+arm_fir_decimate_instance_q31_dealloc(ml_arm_fir_decimate_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_decimate_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_decimate_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_decimate_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_decimate_instance_q31));
+
+        self->instance->pCoeffs = NULL;
+        self->instance->pState = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_decimate_instance_q31_init(ml_arm_fir_decimate_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pCoeffs=NULL;
+    PyObject *pState=NULL;
+char *kwlist[] = {
+"M","numTaps",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|ih", kwlist,&self->instance->M
+,&self->instance->numTaps
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_decimate_instance_q31,M,"i");
+GETFIELD(arm_fir_decimate_instance_q31,numTaps,"h");
+
+
+static PyMethodDef arm_fir_decimate_instance_q31_methods[] = {
+
+    {"M", (PyCFunction) Method_arm_fir_decimate_instance_q31_M,METH_NOARGS,"M"},
+    {"numTaps", (PyCFunction) Method_arm_fir_decimate_instance_q31_numTaps,METH_NOARGS,"numTaps"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_decimate_instance_q31,arm_fir_decimate_instance_q31_new,arm_fir_decimate_instance_q31_dealloc,arm_fir_decimate_instance_q31_init,arm_fir_decimate_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_decimate_instance_f32 *instance;
+} ml_arm_fir_decimate_instance_f32Object;
+
+
+static void
+arm_fir_decimate_instance_f32_dealloc(ml_arm_fir_decimate_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_decimate_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_decimate_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_decimate_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_decimate_instance_f32));
+
+        self->instance->pCoeffs = NULL;
+        self->instance->pState = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_decimate_instance_f32_init(ml_arm_fir_decimate_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pCoeffs=NULL;
+    PyObject *pState=NULL;
+char *kwlist[] = {
+"M","numTaps",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|ih", kwlist,&self->instance->M
+,&self->instance->numTaps
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_decimate_instance_f32,M,"i");
+GETFIELD(arm_fir_decimate_instance_f32,numTaps,"h");
+
+
+static PyMethodDef arm_fir_decimate_instance_f32_methods[] = {
+
+    {"M", (PyCFunction) Method_arm_fir_decimate_instance_f32_M,METH_NOARGS,"M"},
+    {"numTaps", (PyCFunction) Method_arm_fir_decimate_instance_f32_numTaps,METH_NOARGS,"numTaps"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_decimate_instance_f32,arm_fir_decimate_instance_f32_new,arm_fir_decimate_instance_f32_dealloc,arm_fir_decimate_instance_f32_init,arm_fir_decimate_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_interpolate_instance_q15 *instance;
+} ml_arm_fir_interpolate_instance_q15Object;
+
+
+static void
+arm_fir_interpolate_instance_q15_dealloc(ml_arm_fir_interpolate_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_interpolate_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_interpolate_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_interpolate_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_interpolate_instance_q15));
+
+        self->instance->pCoeffs = NULL;
+        self->instance->pState = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_interpolate_instance_q15_init(ml_arm_fir_interpolate_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pCoeffs=NULL;
+    PyObject *pState=NULL;
+char *kwlist[] = {
+"L","phaseLength",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|ih", kwlist,&self->instance->L
+,&self->instance->phaseLength
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_interpolate_instance_q15,L,"i");
+GETFIELD(arm_fir_interpolate_instance_q15,phaseLength,"h");
+
+
+static PyMethodDef arm_fir_interpolate_instance_q15_methods[] = {
+
+    {"L", (PyCFunction) Method_arm_fir_interpolate_instance_q15_L,METH_NOARGS,"L"},
+    {"phaseLength", (PyCFunction) Method_arm_fir_interpolate_instance_q15_phaseLength,METH_NOARGS,"phaseLength"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_interpolate_instance_q15,arm_fir_interpolate_instance_q15_new,arm_fir_interpolate_instance_q15_dealloc,arm_fir_interpolate_instance_q15_init,arm_fir_interpolate_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_interpolate_instance_q31 *instance;
+} ml_arm_fir_interpolate_instance_q31Object;
+
+
+static void
+arm_fir_interpolate_instance_q31_dealloc(ml_arm_fir_interpolate_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_interpolate_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_interpolate_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_interpolate_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_interpolate_instance_q31));
+
+        self->instance->pCoeffs = NULL;
+        self->instance->pState = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_interpolate_instance_q31_init(ml_arm_fir_interpolate_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pCoeffs=NULL;
+    PyObject *pState=NULL;
+char *kwlist[] = {
+"L","phaseLength",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|ih", kwlist,&self->instance->L
+,&self->instance->phaseLength
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_interpolate_instance_q31,L,"i");
+GETFIELD(arm_fir_interpolate_instance_q31,phaseLength,"h");
+
+
+static PyMethodDef arm_fir_interpolate_instance_q31_methods[] = {
+
+    {"L", (PyCFunction) Method_arm_fir_interpolate_instance_q31_L,METH_NOARGS,"L"},
+    {"phaseLength", (PyCFunction) Method_arm_fir_interpolate_instance_q31_phaseLength,METH_NOARGS,"phaseLength"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_interpolate_instance_q31,arm_fir_interpolate_instance_q31_new,arm_fir_interpolate_instance_q31_dealloc,arm_fir_interpolate_instance_q31_init,arm_fir_interpolate_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_interpolate_instance_f32 *instance;
+} ml_arm_fir_interpolate_instance_f32Object;
+
+
+static void
+arm_fir_interpolate_instance_f32_dealloc(ml_arm_fir_interpolate_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_interpolate_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_interpolate_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_interpolate_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_interpolate_instance_f32));
+
+        self->instance->pCoeffs = NULL;
+        self->instance->pState = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_interpolate_instance_f32_init(ml_arm_fir_interpolate_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pCoeffs=NULL;
+    PyObject *pState=NULL;
+char *kwlist[] = {
+"L","phaseLength",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|ih", kwlist,&self->instance->L
+,&self->instance->phaseLength
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_interpolate_instance_f32,L,"i");
+GETFIELD(arm_fir_interpolate_instance_f32,phaseLength,"h");
+
+
+static PyMethodDef arm_fir_interpolate_instance_f32_methods[] = {
+
+    {"L", (PyCFunction) Method_arm_fir_interpolate_instance_f32_L,METH_NOARGS,"L"},
+    {"phaseLength", (PyCFunction) Method_arm_fir_interpolate_instance_f32_phaseLength,METH_NOARGS,"phaseLength"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_interpolate_instance_f32,arm_fir_interpolate_instance_f32_new,arm_fir_interpolate_instance_f32_dealloc,arm_fir_interpolate_instance_f32_init,arm_fir_interpolate_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_biquad_cas_df1_32x64_ins_q31 *instance;
+} ml_arm_biquad_cas_df1_32x64_ins_q31Object;
+
+
+static void
+arm_biquad_cas_df1_32x64_ins_q31_dealloc(ml_arm_biquad_cas_df1_32x64_ins_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_biquad_cas_df1_32x64_ins_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_biquad_cas_df1_32x64_ins_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_biquad_cas_df1_32x64_ins_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_biquad_cas_df1_32x64_ins_q31));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_biquad_cas_df1_32x64_ins_q31_init(ml_arm_biquad_cas_df1_32x64_ins_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numStages","postShift",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|ii", kwlist,&self->instance->numStages
+,&self->instance->postShift
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_biquad_cas_df1_32x64_ins_q31,numStages,"i");
+GETFIELD(arm_biquad_cas_df1_32x64_ins_q31,postShift,"i");
+
+
+static PyMethodDef arm_biquad_cas_df1_32x64_ins_q31_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_biquad_cas_df1_32x64_ins_q31_numStages,METH_NOARGS,"numStages"},
+    {"postShift", (PyCFunction) Method_arm_biquad_cas_df1_32x64_ins_q31_postShift,METH_NOARGS,"postShift"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_biquad_cas_df1_32x64_ins_q31,arm_biquad_cas_df1_32x64_ins_q31_new,arm_biquad_cas_df1_32x64_ins_q31_dealloc,arm_biquad_cas_df1_32x64_ins_q31_init,arm_biquad_cas_df1_32x64_ins_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_biquad_cascade_df2T_instance_f32 *instance;
+} ml_arm_biquad_cascade_df2T_instance_f32Object;
+
+
+static void
+arm_biquad_cascade_df2T_instance_f32_dealloc(ml_arm_biquad_cascade_df2T_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_biquad_cascade_df2T_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_biquad_cascade_df2T_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_biquad_cascade_df2T_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_biquad_cascade_df2T_instance_f32));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_biquad_cascade_df2T_instance_f32_init(ml_arm_biquad_cascade_df2T_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numStages",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|i", kwlist,&self->instance->numStages
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_biquad_cascade_df2T_instance_f32,numStages,"i");
+
+
+static PyMethodDef arm_biquad_cascade_df2T_instance_f32_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_biquad_cascade_df2T_instance_f32_numStages,METH_NOARGS,"numStages"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_biquad_cascade_df2T_instance_f32,arm_biquad_cascade_df2T_instance_f32_new,arm_biquad_cascade_df2T_instance_f32_dealloc,arm_biquad_cascade_df2T_instance_f32_init,arm_biquad_cascade_df2T_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_biquad_cascade_stereo_df2T_instance_f32 *instance;
+} ml_arm_biquad_cascade_stereo_df2T_instance_f32Object;
+
+
+static void
+arm_biquad_cascade_stereo_df2T_instance_f32_dealloc(ml_arm_biquad_cascade_stereo_df2T_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_biquad_cascade_stereo_df2T_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_biquad_cascade_stereo_df2T_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_biquad_cascade_stereo_df2T_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_biquad_cascade_stereo_df2T_instance_f32));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_biquad_cascade_stereo_df2T_instance_f32_init(ml_arm_biquad_cascade_stereo_df2T_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numStages",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|i", kwlist,&self->instance->numStages
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_biquad_cascade_stereo_df2T_instance_f32,numStages,"i");
+
+
+static PyMethodDef arm_biquad_cascade_stereo_df2T_instance_f32_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_biquad_cascade_stereo_df2T_instance_f32_numStages,METH_NOARGS,"numStages"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_biquad_cascade_stereo_df2T_instance_f32,arm_biquad_cascade_stereo_df2T_instance_f32_new,arm_biquad_cascade_stereo_df2T_instance_f32_dealloc,arm_biquad_cascade_stereo_df2T_instance_f32_init,arm_biquad_cascade_stereo_df2T_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_biquad_cascade_df2T_instance_f64 *instance;
+} ml_arm_biquad_cascade_df2T_instance_f64Object;
+
+
+static void
+arm_biquad_cascade_df2T_instance_f64_dealloc(ml_arm_biquad_cascade_df2T_instance_f64Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_biquad_cascade_df2T_instance_f64_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_biquad_cascade_df2T_instance_f64Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_biquad_cascade_df2T_instance_f64Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_biquad_cascade_df2T_instance_f64));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_biquad_cascade_df2T_instance_f64_init(ml_arm_biquad_cascade_df2T_instance_f64Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numStages",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|i", kwlist,&self->instance->numStages
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_biquad_cascade_df2T_instance_f64,numStages,"i");
+
+
+static PyMethodDef arm_biquad_cascade_df2T_instance_f64_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_biquad_cascade_df2T_instance_f64_numStages,METH_NOARGS,"numStages"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_biquad_cascade_df2T_instance_f64,arm_biquad_cascade_df2T_instance_f64_new,arm_biquad_cascade_df2T_instance_f64_dealloc,arm_biquad_cascade_df2T_instance_f64_init,arm_biquad_cascade_df2T_instance_f64_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_lattice_instance_q15 *instance;
+} ml_arm_fir_lattice_instance_q15Object;
+
+
+static void
+arm_fir_lattice_instance_q15_dealloc(ml_arm_fir_lattice_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_lattice_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_lattice_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_lattice_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_lattice_instance_q15));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_lattice_instance_q15_init(ml_arm_fir_lattice_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numStages",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|h", kwlist,&self->instance->numStages
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_lattice_instance_q15,numStages,"h");
+
+
+static PyMethodDef arm_fir_lattice_instance_q15_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_fir_lattice_instance_q15_numStages,METH_NOARGS,"numStages"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_lattice_instance_q15,arm_fir_lattice_instance_q15_new,arm_fir_lattice_instance_q15_dealloc,arm_fir_lattice_instance_q15_init,arm_fir_lattice_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_lattice_instance_q31 *instance;
+} ml_arm_fir_lattice_instance_q31Object;
+
+
+static void
+arm_fir_lattice_instance_q31_dealloc(ml_arm_fir_lattice_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_lattice_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_lattice_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_lattice_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_lattice_instance_q31));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_lattice_instance_q31_init(ml_arm_fir_lattice_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numStages",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|h", kwlist,&self->instance->numStages
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_lattice_instance_q31,numStages,"h");
+
+
+static PyMethodDef arm_fir_lattice_instance_q31_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_fir_lattice_instance_q31_numStages,METH_NOARGS,"numStages"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_lattice_instance_q31,arm_fir_lattice_instance_q31_new,arm_fir_lattice_instance_q31_dealloc,arm_fir_lattice_instance_q31_init,arm_fir_lattice_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_lattice_instance_f32 *instance;
+} ml_arm_fir_lattice_instance_f32Object;
+
+
+static void
+arm_fir_lattice_instance_f32_dealloc(ml_arm_fir_lattice_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_lattice_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_lattice_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_lattice_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_lattice_instance_f32));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_lattice_instance_f32_init(ml_arm_fir_lattice_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numStages",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|h", kwlist,&self->instance->numStages
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_lattice_instance_f32,numStages,"h");
+
+
+static PyMethodDef arm_fir_lattice_instance_f32_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_fir_lattice_instance_f32_numStages,METH_NOARGS,"numStages"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_lattice_instance_f32,arm_fir_lattice_instance_f32_new,arm_fir_lattice_instance_f32_dealloc,arm_fir_lattice_instance_f32_init,arm_fir_lattice_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_iir_lattice_instance_q15 *instance;
+} ml_arm_iir_lattice_instance_q15Object;
+
+
+static void
+arm_iir_lattice_instance_q15_dealloc(ml_arm_iir_lattice_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pkCoeffs)
+       {
+          PyMem_Free(self->instance->pkCoeffs);
+       }
+
+
+       if (self->instance->pvCoeffs)
+       {
+          PyMem_Free(self->instance->pvCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_iir_lattice_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_iir_lattice_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_iir_lattice_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_iir_lattice_instance_q15));
+
+        self->instance->pState = NULL;
+        self->instance->pkCoeffs = NULL;
+        self->instance->pvCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_iir_lattice_instance_q15_init(ml_arm_iir_lattice_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pkCoeffs=NULL;
+    PyObject *pvCoeffs=NULL;
+char *kwlist[] = {
+"numStages","pkCoeffs","pvCoeffs",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hOO", kwlist,&self->instance->numStages
+,&pkCoeffs
+,&pvCoeffs
+))
+    {
+
+    INITARRAYFIELD(pkCoeffs,NPY_INT16,int16_t,int16_t);
+    INITARRAYFIELD(pvCoeffs,NPY_INT16,int16_t,int16_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_iir_lattice_instance_q15,numStages,"h");
+
+
+static PyMethodDef arm_iir_lattice_instance_q15_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_iir_lattice_instance_q15_numStages,METH_NOARGS,"numStages"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_iir_lattice_instance_q15,arm_iir_lattice_instance_q15_new,arm_iir_lattice_instance_q15_dealloc,arm_iir_lattice_instance_q15_init,arm_iir_lattice_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_iir_lattice_instance_q31 *instance;
+} ml_arm_iir_lattice_instance_q31Object;
+
+
+static void
+arm_iir_lattice_instance_q31_dealloc(ml_arm_iir_lattice_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pkCoeffs)
+       {
+          PyMem_Free(self->instance->pkCoeffs);
+       }
+
+
+       if (self->instance->pvCoeffs)
+       {
+          PyMem_Free(self->instance->pvCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_iir_lattice_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_iir_lattice_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_iir_lattice_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_iir_lattice_instance_q31));
+
+        self->instance->pState = NULL;
+        self->instance->pkCoeffs = NULL;
+        self->instance->pvCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_iir_lattice_instance_q31_init(ml_arm_iir_lattice_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pkCoeffs=NULL;
+    PyObject *pvCoeffs=NULL;
+char *kwlist[] = {
+"numStages","pkCoeffs","pvCoeffs",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hOO", kwlist,&self->instance->numStages
+,&pkCoeffs
+,&pvCoeffs
+))
+    {
+
+    INITARRAYFIELD(pkCoeffs,NPY_INT32,int32_t,int32_t);
+    INITARRAYFIELD(pvCoeffs,NPY_INT32,int32_t,int32_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_iir_lattice_instance_q31,numStages,"h");
+
+
+static PyMethodDef arm_iir_lattice_instance_q31_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_iir_lattice_instance_q31_numStages,METH_NOARGS,"numStages"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_iir_lattice_instance_q31,arm_iir_lattice_instance_q31_new,arm_iir_lattice_instance_q31_dealloc,arm_iir_lattice_instance_q31_init,arm_iir_lattice_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_iir_lattice_instance_f32 *instance;
+} ml_arm_iir_lattice_instance_f32Object;
+
+
+static void
+arm_iir_lattice_instance_f32_dealloc(ml_arm_iir_lattice_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pkCoeffs)
+       {
+          PyMem_Free(self->instance->pkCoeffs);
+       }
+
+
+       if (self->instance->pvCoeffs)
+       {
+          PyMem_Free(self->instance->pvCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_iir_lattice_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_iir_lattice_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_iir_lattice_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_iir_lattice_instance_f32));
+
+        self->instance->pState = NULL;
+        self->instance->pkCoeffs = NULL;
+        self->instance->pvCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_iir_lattice_instance_f32_init(ml_arm_iir_lattice_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pkCoeffs=NULL;
+    PyObject *pvCoeffs=NULL;
+char *kwlist[] = {
+"numStages","pkCoeffs","pvCoeffs",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hOO", kwlist,&self->instance->numStages
+,&pkCoeffs
+,&pvCoeffs
+))
+    {
+
+    INITARRAYFIELD(pkCoeffs,NPY_DOUBLE,double,float32_t);
+    INITARRAYFIELD(pvCoeffs,NPY_DOUBLE,double,float32_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_iir_lattice_instance_f32,numStages,"h");
+
+
+static PyMethodDef arm_iir_lattice_instance_f32_methods[] = {
+
+    {"numStages", (PyCFunction) Method_arm_iir_lattice_instance_f32_numStages,METH_NOARGS,"numStages"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_iir_lattice_instance_f32,arm_iir_lattice_instance_f32_new,arm_iir_lattice_instance_f32_dealloc,arm_iir_lattice_instance_f32_init,arm_iir_lattice_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_lms_instance_f32 *instance;
+} ml_arm_lms_instance_f32Object;
+
+
+static void
+arm_lms_instance_f32_dealloc(ml_arm_lms_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_lms_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_lms_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_lms_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_lms_instance_f32));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_lms_instance_f32_init(ml_arm_lms_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numTaps","mu",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hf", kwlist,&self->instance->numTaps
+,&self->instance->mu
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_lms_instance_f32,numTaps,"h");
+GETFIELD(arm_lms_instance_f32,mu,"f");
+
+
+static PyMethodDef arm_lms_instance_f32_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_lms_instance_f32_numTaps,METH_NOARGS,"numTaps"},
+    {"mu", (PyCFunction) Method_arm_lms_instance_f32_mu,METH_NOARGS,"mu"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_lms_instance_f32,arm_lms_instance_f32_new,arm_lms_instance_f32_dealloc,arm_lms_instance_f32_init,arm_lms_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_lms_instance_q15 *instance;
+} ml_arm_lms_instance_q15Object;
+
+
+static void
+arm_lms_instance_q15_dealloc(ml_arm_lms_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_lms_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_lms_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_lms_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_lms_instance_q15));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_lms_instance_q15_init(ml_arm_lms_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numTaps","mu","postShift",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhi", kwlist,&self->instance->numTaps
+,&self->instance->mu
+,&self->instance->postShift
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_lms_instance_q15,numTaps,"h");
+GETFIELD(arm_lms_instance_q15,mu,"h");
+GETFIELD(arm_lms_instance_q15,postShift,"i");
+
+
+static PyMethodDef arm_lms_instance_q15_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_lms_instance_q15_numTaps,METH_NOARGS,"numTaps"},
+    {"mu", (PyCFunction) Method_arm_lms_instance_q15_mu,METH_NOARGS,"mu"},
+    {"postShift", (PyCFunction) Method_arm_lms_instance_q15_postShift,METH_NOARGS,"postShift"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_lms_instance_q15,arm_lms_instance_q15_new,arm_lms_instance_q15_dealloc,arm_lms_instance_q15_init,arm_lms_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_lms_instance_q31 *instance;
+} ml_arm_lms_instance_q31Object;
+
+
+static void
+arm_lms_instance_q31_dealloc(ml_arm_lms_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_lms_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_lms_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_lms_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_lms_instance_q31));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_lms_instance_q31_init(ml_arm_lms_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numTaps","mu","postShift",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hii", kwlist,&self->instance->numTaps
+,&self->instance->mu
+,&self->instance->postShift
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_lms_instance_q31,numTaps,"h");
+GETFIELD(arm_lms_instance_q31,mu,"i");
+GETFIELD(arm_lms_instance_q31,postShift,"i");
+
+
+static PyMethodDef arm_lms_instance_q31_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_lms_instance_q31_numTaps,METH_NOARGS,"numTaps"},
+    {"mu", (PyCFunction) Method_arm_lms_instance_q31_mu,METH_NOARGS,"mu"},
+    {"postShift", (PyCFunction) Method_arm_lms_instance_q31_postShift,METH_NOARGS,"postShift"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_lms_instance_q31,arm_lms_instance_q31_new,arm_lms_instance_q31_dealloc,arm_lms_instance_q31_init,arm_lms_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_lms_norm_instance_f32 *instance;
+} ml_arm_lms_norm_instance_f32Object;
+
+
+static void
+arm_lms_norm_instance_f32_dealloc(ml_arm_lms_norm_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_lms_norm_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_lms_norm_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_lms_norm_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_lms_norm_instance_f32));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_lms_norm_instance_f32_init(ml_arm_lms_norm_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+char *kwlist[] = {
+"numTaps","mu","energy","x0",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hfff", kwlist,&self->instance->numTaps
+,&self->instance->mu
+,&self->instance->energy
+,&self->instance->x0
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_lms_norm_instance_f32,numTaps,"h");
+GETFIELD(arm_lms_norm_instance_f32,mu,"f");
+GETFIELD(arm_lms_norm_instance_f32,energy,"f");
+GETFIELD(arm_lms_norm_instance_f32,x0,"f");
+
+
+static PyMethodDef arm_lms_norm_instance_f32_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_lms_norm_instance_f32_numTaps,METH_NOARGS,"numTaps"},
+    {"mu", (PyCFunction) Method_arm_lms_norm_instance_f32_mu,METH_NOARGS,"mu"},
+    {"energy", (PyCFunction) Method_arm_lms_norm_instance_f32_energy,METH_NOARGS,"energy"},
+    {"x0", (PyCFunction) Method_arm_lms_norm_instance_f32_x0,METH_NOARGS,"x0"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_lms_norm_instance_f32,arm_lms_norm_instance_f32_new,arm_lms_norm_instance_f32_dealloc,arm_lms_norm_instance_f32_init,arm_lms_norm_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_lms_norm_instance_q31 *instance;
+} ml_arm_lms_norm_instance_q31Object;
+
+
+static void
+arm_lms_norm_instance_q31_dealloc(ml_arm_lms_norm_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_lms_norm_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_lms_norm_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_lms_norm_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_lms_norm_instance_q31));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+        self->instance->recipTable = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_lms_norm_instance_q31_init(ml_arm_lms_norm_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+    PyObject *recipTable=NULL;
+char *kwlist[] = {
+"numTaps","mu","postShift","energy","x0",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hiiii", kwlist,&self->instance->numTaps
+,&self->instance->mu
+,&self->instance->postShift
+,&self->instance->energy
+,&self->instance->x0
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_lms_norm_instance_q31,numTaps,"h");
+GETFIELD(arm_lms_norm_instance_q31,mu,"i");
+GETFIELD(arm_lms_norm_instance_q31,postShift,"i");
+GETFIELD(arm_lms_norm_instance_q31,energy,"i");
+GETFIELD(arm_lms_norm_instance_q31,x0,"i");
+
+
+static PyMethodDef arm_lms_norm_instance_q31_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_lms_norm_instance_q31_numTaps,METH_NOARGS,"numTaps"},
+    {"mu", (PyCFunction) Method_arm_lms_norm_instance_q31_mu,METH_NOARGS,"mu"},
+    {"postShift", (PyCFunction) Method_arm_lms_norm_instance_q31_postShift,METH_NOARGS,"postShift"},
+    {"energy", (PyCFunction) Method_arm_lms_norm_instance_q31_energy,METH_NOARGS,"energy"},
+    {"x0", (PyCFunction) Method_arm_lms_norm_instance_q31_x0,METH_NOARGS,"x0"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_lms_norm_instance_q31,arm_lms_norm_instance_q31_new,arm_lms_norm_instance_q31_dealloc,arm_lms_norm_instance_q31_init,arm_lms_norm_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_lms_norm_instance_q15 *instance;
+} ml_arm_lms_norm_instance_q15Object;
+
+
+static void
+arm_lms_norm_instance_q15_dealloc(ml_arm_lms_norm_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_lms_norm_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_lms_norm_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_lms_norm_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_lms_norm_instance_q15));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+        self->instance->recipTable = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_lms_norm_instance_q15_init(ml_arm_lms_norm_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+    PyObject *recipTable=NULL;
+char *kwlist[] = {
+"numTaps","mu","postShift","energy","x0",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhihh", kwlist,&self->instance->numTaps
+,&self->instance->mu
+,&self->instance->postShift
+,&self->instance->energy
+,&self->instance->x0
+))
+    {
+
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_lms_norm_instance_q15,numTaps,"h");
+GETFIELD(arm_lms_norm_instance_q15,mu,"h");
+GETFIELD(arm_lms_norm_instance_q15,postShift,"i");
+GETFIELD(arm_lms_norm_instance_q15,energy,"h");
+GETFIELD(arm_lms_norm_instance_q15,x0,"h");
+
+
+static PyMethodDef arm_lms_norm_instance_q15_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_lms_norm_instance_q15_numTaps,METH_NOARGS,"numTaps"},
+    {"mu", (PyCFunction) Method_arm_lms_norm_instance_q15_mu,METH_NOARGS,"mu"},
+    {"postShift", (PyCFunction) Method_arm_lms_norm_instance_q15_postShift,METH_NOARGS,"postShift"},
+    {"energy", (PyCFunction) Method_arm_lms_norm_instance_q15_energy,METH_NOARGS,"energy"},
+    {"x0", (PyCFunction) Method_arm_lms_norm_instance_q15_x0,METH_NOARGS,"x0"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_lms_norm_instance_q15,arm_lms_norm_instance_q15_new,arm_lms_norm_instance_q15_dealloc,arm_lms_norm_instance_q15_init,arm_lms_norm_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_sparse_instance_f32 *instance;
+} ml_arm_fir_sparse_instance_f32Object;
+
+
+static void
+arm_fir_sparse_instance_f32_dealloc(ml_arm_fir_sparse_instance_f32Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       if (self->instance->pTapDelay)
+       {
+          PyMem_Free(self->instance->pTapDelay);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_sparse_instance_f32_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_sparse_instance_f32Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_sparse_instance_f32Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_sparse_instance_f32));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+        self->instance->pTapDelay = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_sparse_instance_f32_init(ml_arm_fir_sparse_instance_f32Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+    PyObject *pTapDelay=NULL;
+char *kwlist[] = {
+"numTaps","stateIndex","maxDelay","pTapDelay",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhhO", kwlist,&self->instance->numTaps
+,&self->instance->stateIndex
+,&self->instance->maxDelay
+,&pTapDelay
+))
+    {
+
+    INITARRAYFIELD(pTapDelay,NPY_INT32,int32_t,int32_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_sparse_instance_f32,numTaps,"h");
+GETFIELD(arm_fir_sparse_instance_f32,stateIndex,"h");
+GETFIELD(arm_fir_sparse_instance_f32,maxDelay,"h");
+
+
+static PyMethodDef arm_fir_sparse_instance_f32_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_fir_sparse_instance_f32_numTaps,METH_NOARGS,"numTaps"},
+    {"stateIndex", (PyCFunction) Method_arm_fir_sparse_instance_f32_stateIndex,METH_NOARGS,"stateIndex"},
+    {"maxDelay", (PyCFunction) Method_arm_fir_sparse_instance_f32_maxDelay,METH_NOARGS,"maxDelay"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_sparse_instance_f32,arm_fir_sparse_instance_f32_new,arm_fir_sparse_instance_f32_dealloc,arm_fir_sparse_instance_f32_init,arm_fir_sparse_instance_f32_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_sparse_instance_q31 *instance;
+} ml_arm_fir_sparse_instance_q31Object;
+
+
+static void
+arm_fir_sparse_instance_q31_dealloc(ml_arm_fir_sparse_instance_q31Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       if (self->instance->pTapDelay)
+       {
+          PyMem_Free(self->instance->pTapDelay);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_sparse_instance_q31_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_sparse_instance_q31Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_sparse_instance_q31Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_sparse_instance_q31));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+        self->instance->pTapDelay = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_sparse_instance_q31_init(ml_arm_fir_sparse_instance_q31Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+    PyObject *pTapDelay=NULL;
+char *kwlist[] = {
+"numTaps","stateIndex","maxDelay","pTapDelay",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhhO", kwlist,&self->instance->numTaps
+,&self->instance->stateIndex
+,&self->instance->maxDelay
+,&pTapDelay
+))
+    {
+
+    INITARRAYFIELD(pTapDelay,NPY_INT32,int32_t,int32_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_sparse_instance_q31,numTaps,"h");
+GETFIELD(arm_fir_sparse_instance_q31,stateIndex,"h");
+GETFIELD(arm_fir_sparse_instance_q31,maxDelay,"h");
+
+
+static PyMethodDef arm_fir_sparse_instance_q31_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_fir_sparse_instance_q31_numTaps,METH_NOARGS,"numTaps"},
+    {"stateIndex", (PyCFunction) Method_arm_fir_sparse_instance_q31_stateIndex,METH_NOARGS,"stateIndex"},
+    {"maxDelay", (PyCFunction) Method_arm_fir_sparse_instance_q31_maxDelay,METH_NOARGS,"maxDelay"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_sparse_instance_q31,arm_fir_sparse_instance_q31_new,arm_fir_sparse_instance_q31_dealloc,arm_fir_sparse_instance_q31_init,arm_fir_sparse_instance_q31_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_sparse_instance_q15 *instance;
+} ml_arm_fir_sparse_instance_q15Object;
+
+
+static void
+arm_fir_sparse_instance_q15_dealloc(ml_arm_fir_sparse_instance_q15Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       if (self->instance->pTapDelay)
+       {
+          PyMem_Free(self->instance->pTapDelay);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_sparse_instance_q15_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_sparse_instance_q15Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_sparse_instance_q15Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_sparse_instance_q15));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+        self->instance->pTapDelay = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_sparse_instance_q15_init(ml_arm_fir_sparse_instance_q15Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+    PyObject *pTapDelay=NULL;
+char *kwlist[] = {
+"numTaps","stateIndex","maxDelay","pTapDelay",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhhO", kwlist,&self->instance->numTaps
+,&self->instance->stateIndex
+,&self->instance->maxDelay
+,&pTapDelay
+))
+    {
+
+    INITARRAYFIELD(pTapDelay,NPY_INT32,int32_t,int32_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_sparse_instance_q15,numTaps,"h");
+GETFIELD(arm_fir_sparse_instance_q15,stateIndex,"h");
+GETFIELD(arm_fir_sparse_instance_q15,maxDelay,"h");
+
+
+static PyMethodDef arm_fir_sparse_instance_q15_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_fir_sparse_instance_q15_numTaps,METH_NOARGS,"numTaps"},
+    {"stateIndex", (PyCFunction) Method_arm_fir_sparse_instance_q15_stateIndex,METH_NOARGS,"stateIndex"},
+    {"maxDelay", (PyCFunction) Method_arm_fir_sparse_instance_q15_maxDelay,METH_NOARGS,"maxDelay"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_sparse_instance_q15,arm_fir_sparse_instance_q15_new,arm_fir_sparse_instance_q15_dealloc,arm_fir_sparse_instance_q15_init,arm_fir_sparse_instance_q15_methods);
+
+
+typedef struct {
+    PyObject_HEAD
+    arm_fir_sparse_instance_q7 *instance;
+} ml_arm_fir_sparse_instance_q7Object;
+
+
+static void
+arm_fir_sparse_instance_q7_dealloc(ml_arm_fir_sparse_instance_q7Object* self)
+{
+    //printf("Dealloc called\n");
+    if (self->instance)
+    {
+
+
+       if (self->instance->pState)
+       {
+          PyMem_Free(self->instance->pState);
+       }
+
+
+       if (self->instance->pCoeffs)
+       {
+          PyMem_Free(self->instance->pCoeffs);
+       }
+
+
+       if (self->instance->pTapDelay)
+       {
+          PyMem_Free(self->instance->pTapDelay);
+       }
+
+
+       PyMem_Free(self->instance);
+    }
+
+    Py_TYPE(self)->tp_free((PyObject*)self);
+}
+
+
+static PyObject *
+arm_fir_sparse_instance_q7_new(PyTypeObject *type, PyObject *args, PyObject *kwds)
+{
+    ml_arm_fir_sparse_instance_q7Object *self;
+    //printf("New called\n");
+
+    self = (ml_arm_fir_sparse_instance_q7Object *)type->tp_alloc(type, 0);
+    //printf("alloc called\n");
+
+    if (self != NULL) {
+
+        self->instance = PyMem_Malloc(sizeof(arm_fir_sparse_instance_q7));
+
+        self->instance->pState = NULL;
+        self->instance->pCoeffs = NULL;
+        self->instance->pTapDelay = NULL;
+
+    }
+ 
+   
+    return (PyObject *)self;
+}
+
+static int
+arm_fir_sparse_instance_q7_init(ml_arm_fir_sparse_instance_q7Object *self, PyObject *args, PyObject *kwds)
+{
+
+    PyObject *pState=NULL;
+    PyObject *pCoeffs=NULL;
+    PyObject *pTapDelay=NULL;
+char *kwlist[] = {
+"numTaps","stateIndex","maxDelay","pTapDelay",NULL
+};
+
+if (PyArg_ParseTupleAndKeywords(args, kwds, "|hhhO", kwlist,&self->instance->numTaps
+,&self->instance->stateIndex
+,&self->instance->maxDelay
+,&pTapDelay
+))
+    {
+
+    INITARRAYFIELD(pTapDelay,NPY_INT32,int32_t,int32_t);
+
+    }
+    return 0;
+}
+
+GETFIELD(arm_fir_sparse_instance_q7,numTaps,"h");
+GETFIELD(arm_fir_sparse_instance_q7,stateIndex,"h");
+GETFIELD(arm_fir_sparse_instance_q7,maxDelay,"h");
+
+
+static PyMethodDef arm_fir_sparse_instance_q7_methods[] = {
+
+    {"numTaps", (PyCFunction) Method_arm_fir_sparse_instance_q7_numTaps,METH_NOARGS,"numTaps"},
+    {"stateIndex", (PyCFunction) Method_arm_fir_sparse_instance_q7_stateIndex,METH_NOARGS,"stateIndex"},
+    {"maxDelay", (PyCFunction) Method_arm_fir_sparse_instance_q7_maxDelay,METH_NOARGS,"maxDelay"},
+
+    {NULL}  /* Sentinel */
+};
+
+
+MLTYPE(arm_fir_sparse_instance_q7,arm_fir_sparse_instance_q7_new,arm_fir_sparse_instance_q7_dealloc,arm_fir_sparse_instance_q7_init,arm_fir_sparse_instance_q7_methods);
+
+
+void typeRegistration(PyObject *module) {
+
+  ADDTYPE(arm_fir_instance_q7);
+  ADDTYPE(arm_fir_instance_q15);
+  ADDTYPE(arm_fir_instance_q31);
+  ADDTYPE(arm_fir_instance_f32);
+  ADDTYPE(arm_biquad_casd_df1_inst_q15);
+  ADDTYPE(arm_biquad_casd_df1_inst_q31);
+  ADDTYPE(arm_biquad_casd_df1_inst_f32);
+  ADDTYPE(arm_matrix_instance_f32);
+  ADDTYPE(arm_matrix_instance_f64);
+  ADDTYPE(arm_matrix_instance_q15);
+  ADDTYPE(arm_matrix_instance_q31);
+  ADDTYPE(arm_pid_instance_q15);
+  ADDTYPE(arm_pid_instance_q31);
+  ADDTYPE(arm_pid_instance_f32);
+  ADDTYPE(arm_linear_interp_instance_f32);
+  ADDTYPE(arm_bilinear_interp_instance_f32);
+  ADDTYPE(arm_bilinear_interp_instance_q31);
+  ADDTYPE(arm_bilinear_interp_instance_q15);
+  ADDTYPE(arm_bilinear_interp_instance_q7);
+  ADDTYPE(arm_cfft_radix2_instance_q15);
+  ADDTYPE(arm_cfft_radix4_instance_q15);
+  ADDTYPE(arm_cfft_radix2_instance_q31);
+  ADDTYPE(arm_cfft_radix4_instance_q31);
+  ADDTYPE(arm_cfft_radix2_instance_f32);
+  ADDTYPE(arm_cfft_radix4_instance_f32);
+  ADDTYPE(arm_cfft_instance_q15);
+  ADDTYPE(arm_cfft_instance_q31);
+  ADDTYPE(arm_cfft_instance_f32);
+  ADDTYPE(arm_rfft_instance_q15);
+  ADDTYPE(arm_rfft_instance_q31);
+  ADDTYPE(arm_rfft_instance_f32);
+  ADDTYPE(arm_rfft_fast_instance_f32);
+  ADDTYPE(arm_dct4_instance_f32);
+  ADDTYPE(arm_dct4_instance_q31);
+  ADDTYPE(arm_dct4_instance_q15);
+  ADDTYPE(arm_fir_decimate_instance_q15);
+  ADDTYPE(arm_fir_decimate_instance_q31);
+  ADDTYPE(arm_fir_decimate_instance_f32);
+  ADDTYPE(arm_fir_interpolate_instance_q15);
+  ADDTYPE(arm_fir_interpolate_instance_q31);
+  ADDTYPE(arm_fir_interpolate_instance_f32);
+  ADDTYPE(arm_biquad_cas_df1_32x64_ins_q31);
+  ADDTYPE(arm_biquad_cascade_df2T_instance_f32);
+  ADDTYPE(arm_biquad_cascade_stereo_df2T_instance_f32);
+  ADDTYPE(arm_biquad_cascade_df2T_instance_f64);
+  ADDTYPE(arm_fir_lattice_instance_q15);
+  ADDTYPE(arm_fir_lattice_instance_q31);
+  ADDTYPE(arm_fir_lattice_instance_f32);
+  ADDTYPE(arm_iir_lattice_instance_q15);
+  ADDTYPE(arm_iir_lattice_instance_q31);
+  ADDTYPE(arm_iir_lattice_instance_f32);
+  ADDTYPE(arm_lms_instance_f32);
+  ADDTYPE(arm_lms_instance_q15);
+  ADDTYPE(arm_lms_instance_q31);
+  ADDTYPE(arm_lms_norm_instance_f32);
+  ADDTYPE(arm_lms_norm_instance_q31);
+  ADDTYPE(arm_lms_norm_instance_q15);
+  ADDTYPE(arm_fir_sparse_instance_f32);
+  ADDTYPE(arm_fir_sparse_instance_q31);
+  ADDTYPE(arm_fir_sparse_instance_q15);
+  ADDTYPE(arm_fir_sparse_instance_q7);
+
+}
+
+
+static PyObject *
+cmsis_arm_recip_q31(PyObject *obj, PyObject *args)
+{
+
+  q31_t in; // input
+  q31_t *dst=NULL; // output
+  PyObject *pRecipTable=NULL; // input
+  q31_t *pRecipTable_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"iO",&in,&pRecipTable))
+  {
+
+    GETARGUMENT(pRecipTable,NPY_INT32,int32_t,int32_t);
+    
+    dst=PyMem_Malloc(sizeof(q31_t)*1);
+
+
+    uint32_t returnValue = arm_recip_q31(in,dst,pRecipTable_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* dstOBJ=Py_BuildValue("i",*dst);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,dstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    Py_DECREF(dstOBJ);
+    FREEARGUMENT(pRecipTable_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_recip_q15(PyObject *obj, PyObject *args)
+{
+
+  q15_t in; // input
+  q15_t *dst=NULL; // output
+  PyObject *pRecipTable=NULL; // input
+  q15_t *pRecipTable_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"hO",&in,&pRecipTable))
+  {
+
+    GETARGUMENT(pRecipTable,NPY_INT16,int16_t,int16_t);
+    
+    dst=PyMem_Malloc(sizeof(q15_t)*1);
+
+
+    uint32_t returnValue = arm_recip_q15(in,dst,pRecipTable_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* dstOBJ=Py_BuildValue("h",*dst);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,dstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    Py_DECREF(dstOBJ);
+    FREEARGUMENT(pRecipTable_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_instance_q7Object *selfS = (ml_arm_fir_instance_q7Object *)S;
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_fir_q7(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_init_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  q7_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q7_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOO",&S,&numTaps,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_instance_q7Object *selfS = (ml_arm_fir_instance_q7Object *)S;
+    GETARGUMENT(pCoeffs,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pState,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_fir_init_q7(selfS->instance,numTaps,pCoeffs_converted,pState_converted,blockSize);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_instance_q15Object *selfS = (ml_arm_fir_instance_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_fir_q15(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_fast_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_instance_q15Object *selfS = (ml_arm_fir_instance_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_fir_fast_q15(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  q15_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q15_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOO",&S,&numTaps,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_instance_q15Object *selfS = (ml_arm_fir_instance_q15Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pState,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_status returnValue = arm_fir_init_q15(selfS->instance,numTaps,pCoeffs_converted,pState_converted,blockSize);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_instance_q31Object *selfS = (ml_arm_fir_instance_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_fir_q31(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_fast_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_instance_q31Object *selfS = (ml_arm_fir_instance_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_fir_fast_q31(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  q31_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q31_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOO",&S,&numTaps,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_instance_q31Object *selfS = (ml_arm_fir_instance_q31Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pState,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_fir_init_q31(selfS->instance,numTaps,pCoeffs_converted,pState_converted,blockSize);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_instance_f32Object *selfS = (ml_arm_fir_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_fir_f32(selfS->instance,pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  float32_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  float32_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOO",&S,&numTaps,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_instance_f32Object *selfS = (ml_arm_fir_instance_f32Object *)S;
+    GETARGUMENT(pCoeffs,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pState,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_fir_init_f32(selfS->instance,numTaps,pCoeffs_converted,pState_converted,blockSize);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_df1_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_biquad_casd_df1_inst_q15Object *selfS = (ml_arm_biquad_casd_df1_inst_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_biquad_cascade_df1_q15(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_df1_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint32_t numStages; // input
+  PyObject *pCoeffs=NULL; // input
+  q15_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q15_t *pState_converted=NULL; // input
+  int32_t postShift; // input
+
+  if (PyArg_ParseTuple(args,"OiOOi",&S,&numStages,&pCoeffs,&pState,&postShift))
+  {
+
+    ml_arm_biquad_casd_df1_inst_q15Object *selfS = (ml_arm_biquad_casd_df1_inst_q15Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pState,NPY_INT16,int16_t,int16_t);
+
+    arm_biquad_cascade_df1_init_q15(selfS->instance,(uint8_t)numStages,pCoeffs_converted,pState_converted,(int8_t)postShift);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_df1_fast_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_biquad_casd_df1_inst_q15Object *selfS = (ml_arm_biquad_casd_df1_inst_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_biquad_cascade_df1_fast_q15(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_df1_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_biquad_casd_df1_inst_q31Object *selfS = (ml_arm_biquad_casd_df1_inst_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_biquad_cascade_df1_q31(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_df1_fast_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_biquad_casd_df1_inst_q31Object *selfS = (ml_arm_biquad_casd_df1_inst_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_biquad_cascade_df1_fast_q31(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_df1_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint32_t numStages; // input
+  PyObject *pCoeffs=NULL; // input
+  q31_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q31_t *pState_converted=NULL; // input
+  int32_t postShift; // input
+
+  if (PyArg_ParseTuple(args,"OiOOi",&S,&numStages,&pCoeffs,&pState,&postShift))
+  {
+
+    ml_arm_biquad_casd_df1_inst_q31Object *selfS = (ml_arm_biquad_casd_df1_inst_q31Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pState,NPY_INT32,int32_t,int32_t);
+
+    arm_biquad_cascade_df1_init_q31(selfS->instance,(uint8_t)numStages,pCoeffs_converted,pState_converted,(int8_t)postShift);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_df1_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_biquad_casd_df1_inst_f32Object *selfS = (ml_arm_biquad_casd_df1_inst_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_biquad_cascade_df1_f32(selfS->instance,pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_df1_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint32_t numStages; // input
+  PyObject *pCoeffs=NULL; // input
+  float32_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  float32_t *pState_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOO",&S,&numStages,&pCoeffs,&pState))
+  {
+
+    ml_arm_biquad_casd_df1_inst_f32Object *selfS = (ml_arm_biquad_casd_df1_inst_f32Object *)S;
+    GETARGUMENT(pCoeffs,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pState,NPY_DOUBLE,double,float32_t);
+
+    arm_biquad_cascade_df1_init_f32(selfS->instance,(uint8_t)numStages,pCoeffs_converted,pState_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_add_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_f32 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_f32 *pSrcB_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    arm_matrix_instance_f32 *pSrcA_converted = f32MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_f32 *pSrcB_converted = f32MatrixFromNumpy(pSrcB);
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols ;
+    arm_matrix_instance_f32 *pDst_converted = createf32Matrix(row,column);
+
+    arm_status returnValue = arm_mat_add_f32(pSrcA_converted,pSrcB_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromf32Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_add_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_q15 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_q15 *pSrcB_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    arm_matrix_instance_q15 *pSrcA_converted = q15MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_q15 *pSrcB_converted = q15MatrixFromNumpy(pSrcB);
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols ;
+    arm_matrix_instance_q15 *pDst_converted = createq15Matrix(row,column);
+
+    arm_status returnValue = arm_mat_add_q15(pSrcA_converted,pSrcB_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq15Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_add_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_q31 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_q31 *pSrcB_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    arm_matrix_instance_q31 *pSrcA_converted = q31MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_q31 *pSrcB_converted = q31MatrixFromNumpy(pSrcB);
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols ;
+    arm_matrix_instance_q31 *pDst_converted = createq31Matrix(row,column);
+
+    arm_status returnValue = arm_mat_add_q31(pSrcA_converted,pSrcB_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq31Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_cmplx_mult_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_f32 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_f32 *pSrcB_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    arm_matrix_instance_f32 *pSrcA_converted = f32MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_f32 *pSrcB_converted = f32MatrixFromNumpy(pSrcB);
+    pSrcA_converted->numCols = pSrcA_converted->numCols / 2;
+    pSrcB_converted->numCols = pSrcB_converted->numCols / 2;
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols * 2;
+    arm_matrix_instance_f32 *pDst_converted = createf32Matrix(row,column);
+
+    arm_status returnValue = arm_mat_cmplx_mult_f32(pSrcA_converted,pSrcB_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromf32Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_cmplx_mult_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_q15 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_q15 *pSrcB_converted=NULL; // input
+  PyObject *pScratch=NULL; // input
+  q15_t *pScratch_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OOO",&pSrcA,&pSrcB,&pScratch))
+  {
+
+    arm_matrix_instance_q15 *pSrcA_converted = q15MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_q15 *pSrcB_converted = q15MatrixFromNumpy(pSrcB);
+    GETARGUMENT(pScratch,NPY_INT16,int16_t,int16_t);
+    pSrcA_converted->numCols = pSrcA_converted->numCols / 2;
+    pSrcB_converted->numCols = pSrcB_converted->numCols / 2;
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols * 2;
+    arm_matrix_instance_q15 *pDst_converted = createq15Matrix(row,column);
+
+    arm_status returnValue = arm_mat_cmplx_mult_q15(pSrcA_converted,pSrcB_converted,pDst_converted,pScratch_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq15Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pScratch_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_cmplx_mult_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_q31 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_q31 *pSrcB_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    arm_matrix_instance_q31 *pSrcA_converted = q31MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_q31 *pSrcB_converted = q31MatrixFromNumpy(pSrcB);
+    pSrcA_converted->numCols = pSrcA_converted->numCols / 2;
+    pSrcB_converted->numCols = pSrcB_converted->numCols / 2;
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols * 2;
+    arm_matrix_instance_q31 *pDst_converted = createq31Matrix(row,column);
+
+    arm_status returnValue = arm_mat_cmplx_mult_q31(pSrcA_converted,pSrcB_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq31Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_trans_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  arm_matrix_instance_f32 *pSrc_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    arm_matrix_instance_f32 *pSrc_converted = f32MatrixFromNumpy(pSrc);
+    uint32_t row = pSrc_converted->numCols ;
+    uint32_t column = pSrc_converted->numRows ;
+    arm_matrix_instance_f32 *pDst_converted = createf32Matrix(row,column);
+
+    arm_status returnValue = arm_mat_trans_f32(pSrc_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromf32Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_trans_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  arm_matrix_instance_q15 *pSrc_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    arm_matrix_instance_q15 *pSrc_converted = q15MatrixFromNumpy(pSrc);
+    uint32_t row = pSrc_converted->numCols ;
+    uint32_t column = pSrc_converted->numRows ;
+    arm_matrix_instance_q15 *pDst_converted = createq15Matrix(row,column);
+
+    arm_status returnValue = arm_mat_trans_q15(pSrc_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq15Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_trans_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  arm_matrix_instance_q31 *pSrc_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    arm_matrix_instance_q31 *pSrc_converted = q31MatrixFromNumpy(pSrc);
+    uint32_t row = pSrc_converted->numCols ;
+    uint32_t column = pSrc_converted->numRows ;
+    arm_matrix_instance_q31 *pDst_converted = createq31Matrix(row,column);
+
+    arm_status returnValue = arm_mat_trans_q31(pSrc_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq31Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_mult_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_f32 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_f32 *pSrcB_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    arm_matrix_instance_f32 *pSrcA_converted = f32MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_f32 *pSrcB_converted = f32MatrixFromNumpy(pSrcB);
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols ;
+    arm_matrix_instance_f32 *pDst_converted = createf32Matrix(row,column);
+
+    arm_status returnValue = arm_mat_mult_f32(pSrcA_converted,pSrcB_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromf32Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_mult_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_q15 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_q15 *pSrcB_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q15_t *pState_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OOO",&pSrcA,&pSrcB,&pState))
+  {
+
+    arm_matrix_instance_q15 *pSrcA_converted = q15MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_q15 *pSrcB_converted = q15MatrixFromNumpy(pSrcB);
+    GETARGUMENT(pState,NPY_INT16,int16_t,int16_t);
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols ;
+    arm_matrix_instance_q15 *pDst_converted = createq15Matrix(row,column);
+
+    arm_status returnValue = arm_mat_mult_q15(pSrcA_converted,pSrcB_converted,pDst_converted,pState_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq15Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pState_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_mult_fast_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_q15 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_q15 *pSrcB_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q15_t *pState_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OOO",&pSrcA,&pSrcB,&pState))
+  {
+
+    arm_matrix_instance_q15 *pSrcA_converted = q15MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_q15 *pSrcB_converted = q15MatrixFromNumpy(pSrcB);
+    GETARGUMENT(pState,NPY_INT16,int16_t,int16_t);
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols ;
+    arm_matrix_instance_q15 *pDst_converted = createq15Matrix(row,column);
+
+    arm_status returnValue = arm_mat_mult_fast_q15(pSrcA_converted,pSrcB_converted,pDst_converted,pState_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq15Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pState_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_mult_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_q31 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_q31 *pSrcB_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    arm_matrix_instance_q31 *pSrcA_converted = q31MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_q31 *pSrcB_converted = q31MatrixFromNumpy(pSrcB);
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols ;
+    arm_matrix_instance_q31 *pDst_converted = createq31Matrix(row,column);
+
+    arm_status returnValue = arm_mat_mult_q31(pSrcA_converted,pSrcB_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq31Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_mult_fast_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_q31 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_q31 *pSrcB_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    arm_matrix_instance_q31 *pSrcA_converted = q31MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_q31 *pSrcB_converted = q31MatrixFromNumpy(pSrcB);
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols ;
+    arm_matrix_instance_q31 *pDst_converted = createq31Matrix(row,column);
+
+    arm_status returnValue = arm_mat_mult_fast_q31(pSrcA_converted,pSrcB_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq31Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_sub_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_f32 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_f32 *pSrcB_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    arm_matrix_instance_f32 *pSrcA_converted = f32MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_f32 *pSrcB_converted = f32MatrixFromNumpy(pSrcB);
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols ;
+    arm_matrix_instance_f32 *pDst_converted = createf32Matrix(row,column);
+
+    arm_status returnValue = arm_mat_sub_f32(pSrcA_converted,pSrcB_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromf32Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_sub_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_q15 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_q15 *pSrcB_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    arm_matrix_instance_q15 *pSrcA_converted = q15MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_q15 *pSrcB_converted = q15MatrixFromNumpy(pSrcB);
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols ;
+    arm_matrix_instance_q15 *pDst_converted = createq15Matrix(row,column);
+
+    arm_status returnValue = arm_mat_sub_q15(pSrcA_converted,pSrcB_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq15Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_sub_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  arm_matrix_instance_q31 *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  arm_matrix_instance_q31 *pSrcB_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    arm_matrix_instance_q31 *pSrcA_converted = q31MatrixFromNumpy(pSrcA);
+    arm_matrix_instance_q31 *pSrcB_converted = q31MatrixFromNumpy(pSrcB);
+    uint32_t row = pSrcA_converted->numRows ;
+    uint32_t column = pSrcB_converted->numCols ;
+    arm_matrix_instance_q31 *pDst_converted = createq31Matrix(row,column);
+
+    arm_status returnValue = arm_mat_sub_q31(pSrcA_converted,pSrcB_converted,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq31Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_scale_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  arm_matrix_instance_f32 *pSrc_converted=NULL; // input
+  float32_t scale; // input
+
+  if (PyArg_ParseTuple(args,"Of",&pSrc,&scale))
+  {
+
+    arm_matrix_instance_f32 *pSrc_converted = f32MatrixFromNumpy(pSrc);
+    uint32_t row = pSrc_converted->numRows ;
+    uint32_t column = pSrc_converted->numCols ;
+    arm_matrix_instance_f32 *pDst_converted = createf32Matrix(row,column);
+
+    arm_status returnValue = arm_mat_scale_f32(pSrc_converted,scale,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromf32Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_scale_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  arm_matrix_instance_q15 *pSrc_converted=NULL; // input
+  q15_t scaleFract; // input
+  int32_t shift; // input
+
+  if (PyArg_ParseTuple(args,"Ohi",&pSrc,&scaleFract,&shift))
+  {
+
+    arm_matrix_instance_q15 *pSrc_converted = q15MatrixFromNumpy(pSrc);
+    uint32_t row = pSrc_converted->numRows ;
+    uint32_t column = pSrc_converted->numCols ;
+    arm_matrix_instance_q15 *pDst_converted = createq15Matrix(row,column);
+
+    arm_status returnValue = arm_mat_scale_q15(pSrc_converted,scaleFract,shift,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq15Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_scale_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  arm_matrix_instance_q31 *pSrc_converted=NULL; // input
+  q31_t scaleFract; // input
+  int32_t shift; // input
+
+  if (PyArg_ParseTuple(args,"Oii",&pSrc,&scaleFract,&shift))
+  {
+
+    arm_matrix_instance_q31 *pSrc_converted = q31MatrixFromNumpy(pSrc);
+    uint32_t row = pSrc_converted->numRows ;
+    uint32_t column = pSrc_converted->numCols ;
+    arm_matrix_instance_q31 *pDst_converted = createq31Matrix(row,column);
+
+    arm_status returnValue = arm_mat_scale_q31(pSrc_converted,scaleFract,shift,pDst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pDstOBJ=NumpyArrayFromq31Matrix(pDst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_pid_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  int32_t resetStateFlag; // input
+
+  if (PyArg_ParseTuple(args,"Oi",&S,&resetStateFlag))
+  {
+
+    ml_arm_pid_instance_f32Object *selfS = (ml_arm_pid_instance_f32Object *)S;
+
+    arm_pid_init_f32(selfS->instance,resetStateFlag);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_pid_reset_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_pid_instance_f32Object *selfS = (ml_arm_pid_instance_f32Object *)S;
+
+    arm_pid_reset_f32(selfS->instance);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_pid_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  int32_t resetStateFlag; // input
+
+  if (PyArg_ParseTuple(args,"Oi",&S,&resetStateFlag))
+  {
+
+    ml_arm_pid_instance_q31Object *selfS = (ml_arm_pid_instance_q31Object *)S;
+
+    arm_pid_init_q31(selfS->instance,resetStateFlag);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_pid_reset_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_pid_instance_q31Object *selfS = (ml_arm_pid_instance_q31Object *)S;
+
+    arm_pid_reset_q31(selfS->instance);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_pid_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  int32_t resetStateFlag; // input
+
+  if (PyArg_ParseTuple(args,"Oi",&S,&resetStateFlag))
+  {
+
+    ml_arm_pid_instance_q15Object *selfS = (ml_arm_pid_instance_q15Object *)S;
+
+    arm_pid_init_q15(selfS->instance,resetStateFlag);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_pid_reset_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_pid_instance_q15Object *selfS = (ml_arm_pid_instance_q15Object *)S;
+
+    arm_pid_reset_q15(selfS->instance);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mult_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q7_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q7_t *pSrcB_converted=NULL; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrcA ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_mult_q7(pSrcA_converted,pSrcB_converted,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mult_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrcA ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_mult_q15(pSrcA_converted,pSrcB_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mult_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q31_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q31_t *pSrcB_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrcA ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_mult_q31(pSrcA_converted,pSrcB_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mult_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  float32_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  float32_t *pSrcB_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrcA ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_mult_f32(pSrcA_converted,pSrcB_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_radix2_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t fftLen; // input
+  uint32_t ifftFlag; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"Ohii",&S,&fftLen,&ifftFlag,&bitReverseFlag))
+  {
+
+    ml_arm_cfft_radix2_instance_q15Object *selfS = (ml_arm_cfft_radix2_instance_q15Object *)S;
+
+    arm_status returnValue = arm_cfft_radix2_init_q15(selfS->instance,fftLen,(uint8_t)ifftFlag,(uint8_t)bitReverseFlag);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_radix2_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_cfft_radix2_instance_q15Object *selfS = (ml_arm_cfft_radix2_instance_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+
+    arm_cfft_radix2_q15(selfS->instance,pSrc_converted);
+    FREEARGUMENT(pSrc_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_radix4_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t fftLen; // input
+  uint32_t ifftFlag; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"Ohii",&S,&fftLen,&ifftFlag,&bitReverseFlag))
+  {
+
+    ml_arm_cfft_radix4_instance_q15Object *selfS = (ml_arm_cfft_radix4_instance_q15Object *)S;
+
+    arm_status returnValue = arm_cfft_radix4_init_q15(selfS->instance,fftLen,(uint8_t)ifftFlag,(uint8_t)bitReverseFlag);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_radix4_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_cfft_radix4_instance_q15Object *selfS = (ml_arm_cfft_radix4_instance_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+
+    arm_cfft_radix4_q15(selfS->instance,pSrc_converted);
+    FREEARGUMENT(pSrc_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_radix2_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t fftLen; // input
+  uint32_t ifftFlag; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"Ohii",&S,&fftLen,&ifftFlag,&bitReverseFlag))
+  {
+
+    ml_arm_cfft_radix2_instance_q31Object *selfS = (ml_arm_cfft_radix2_instance_q31Object *)S;
+
+    arm_status returnValue = arm_cfft_radix2_init_q31(selfS->instance,fftLen,(uint8_t)ifftFlag,(uint8_t)bitReverseFlag);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_radix2_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_cfft_radix2_instance_q31Object *selfS = (ml_arm_cfft_radix2_instance_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+
+    arm_cfft_radix2_q31(selfS->instance,pSrc_converted);
+    FREEARGUMENT(pSrc_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_radix4_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_cfft_radix4_instance_q31Object *selfS = (ml_arm_cfft_radix4_instance_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+
+    arm_cfft_radix4_q31(selfS->instance,pSrc_converted);
+    FREEARGUMENT(pSrc_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_radix4_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t fftLen; // input
+  uint32_t ifftFlag; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"Ohii",&S,&fftLen,&ifftFlag,&bitReverseFlag))
+  {
+
+    ml_arm_cfft_radix4_instance_q31Object *selfS = (ml_arm_cfft_radix4_instance_q31Object *)S;
+
+    arm_status returnValue = arm_cfft_radix4_init_q31(selfS->instance,fftLen,(uint8_t)ifftFlag,(uint8_t)bitReverseFlag);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_radix2_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t fftLen; // input
+  uint32_t ifftFlag; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"Ohii",&S,&fftLen,&ifftFlag,&bitReverseFlag))
+  {
+
+    ml_arm_cfft_radix2_instance_f32Object *selfS = (ml_arm_cfft_radix2_instance_f32Object *)S;
+
+    arm_status returnValue = arm_cfft_radix2_init_f32(selfS->instance,fftLen,(uint8_t)ifftFlag,(uint8_t)bitReverseFlag);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_radix2_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_cfft_radix2_instance_f32Object *selfS = (ml_arm_cfft_radix2_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+
+    arm_cfft_radix2_f32(selfS->instance,pSrc_converted);
+    FREEARGUMENT(pSrc_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_radix4_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t fftLen; // input
+  uint32_t ifftFlag; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"Ohii",&S,&fftLen,&ifftFlag,&bitReverseFlag))
+  {
+
+    ml_arm_cfft_radix4_instance_f32Object *selfS = (ml_arm_cfft_radix4_instance_f32Object *)S;
+
+    arm_status returnValue = arm_cfft_radix4_init_f32(selfS->instance,fftLen,(uint8_t)ifftFlag,(uint8_t)bitReverseFlag);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_radix4_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_cfft_radix4_instance_f32Object *selfS = (ml_arm_cfft_radix4_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+
+    arm_cfft_radix4_f32(selfS->instance,pSrc_converted);
+    FREEARGUMENT(pSrc_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *p1=NULL; // input
+  q15_t *p1_converted=NULL; // input
+  uint32_t ifftFlag; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"OOii",&S,&p1,&ifftFlag,&bitReverseFlag))
+  {
+
+    ml_arm_cfft_instance_q15Object *selfS = (ml_arm_cfft_instance_q15Object *)S;
+    GETARGUMENT(p1,NPY_INT16,int16_t,int16_t);
+
+    arm_cfft_q15(selfS->instance,p1_converted,(uint8_t)ifftFlag,(uint8_t)bitReverseFlag);
+ INT16ARRAY1(p1OBJ,2*selfS->instance->fftLen,p1_converted);
+
+    PyObject *pythonResult = Py_BuildValue("O",p1OBJ);
+
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *p1=NULL; // input
+  q31_t *p1_converted=NULL; // input
+  uint32_t ifftFlag; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"OOii",&S,&p1,&ifftFlag,&bitReverseFlag))
+  {
+
+    ml_arm_cfft_instance_q31Object *selfS = (ml_arm_cfft_instance_q31Object *)S;
+    GETARGUMENT(p1,NPY_INT32,int32_t,int32_t);
+
+    arm_cfft_q31(selfS->instance,p1_converted,(uint8_t)ifftFlag,(uint8_t)bitReverseFlag);
+ INT32ARRAY1(p1OBJ,2*selfS->instance->fftLen,p1_converted);
+
+    PyObject *pythonResult = Py_BuildValue("O",p1OBJ);
+
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *p1=NULL; // input
+  float32_t *p1_converted=NULL; // input
+  uint32_t ifftFlag; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"OOii",&S,&p1,&ifftFlag,&bitReverseFlag))
+  {
+
+    ml_arm_cfft_instance_f32Object *selfS = (ml_arm_cfft_instance_f32Object *)S;
+    GETARGUMENT(p1,NPY_DOUBLE,double,float32_t);
+
+    arm_cfft_f32(selfS->instance,p1_converted,(uint8_t)ifftFlag,(uint8_t)bitReverseFlag);
+ FLOATARRAY1(p1OBJ,2*selfS->instance->fftLen,p1_converted);
+
+    PyObject *pythonResult = Py_BuildValue("O",p1OBJ);
+
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint32_t fftLenReal; // input
+  uint32_t ifftFlagR; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"Oiii",&S,&fftLenReal,&ifftFlagR,&bitReverseFlag))
+  {
+
+    ml_arm_rfft_instance_q15Object *selfS = (ml_arm_rfft_instance_q15Object *)S;
+
+    arm_status returnValue = arm_rfft_init_q15(selfS->instance,fftLenReal,ifftFlagR,bitReverseFlag);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_rfft_instance_q15Object *selfS = (ml_arm_rfft_instance_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*2*selfS->instance->fftLenReal);
+
+
+    arm_rfft_q15(selfS->instance,pSrc_converted,pDst);
+ INT16ARRAY1(pDstOBJ,2*selfS->instance->fftLenReal,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint32_t fftLenReal; // input
+  uint32_t ifftFlagR; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"Oiii",&S,&fftLenReal,&ifftFlagR,&bitReverseFlag))
+  {
+
+    ml_arm_rfft_instance_q31Object *selfS = (ml_arm_rfft_instance_q31Object *)S;
+
+    arm_status returnValue = arm_rfft_init_q31(selfS->instance,fftLenReal,ifftFlagR,bitReverseFlag);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_rfft_instance_q31Object *selfS = (ml_arm_rfft_instance_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*2*selfS->instance->fftLenReal);
+
+
+    arm_rfft_q31(selfS->instance,pSrc_converted,pDst);
+ INT32ARRAY1(pDstOBJ,2*selfS->instance->fftLenReal,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *S_CFFT=NULL; // input
+  uint32_t fftLenReal; // input
+  uint32_t ifftFlagR; // input
+  uint32_t bitReverseFlag; // input
+
+  if (PyArg_ParseTuple(args,"OOiii",&S,&S_CFFT,&fftLenReal,&ifftFlagR,&bitReverseFlag))
+  {
+
+    ml_arm_rfft_instance_f32Object *selfS = (ml_arm_rfft_instance_f32Object *)S;
+    ml_arm_cfft_radix4_instance_f32Object *selfS_CFFT = (ml_arm_cfft_radix4_instance_f32Object *)S_CFFT;
+
+    arm_status returnValue = arm_rfft_init_f32(selfS->instance,selfS_CFFT->instance,fftLenReal,ifftFlagR,bitReverseFlag);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_rfft_instance_f32Object *selfS = (ml_arm_rfft_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*2*selfS->instance->fftLenReal);
+
+
+    arm_rfft_f32(selfS->instance,pSrc_converted,pDst);
+ FLOATARRAY1(pDstOBJ,2*selfS->instance->fftLenReal,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_fast_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t fftLen; // input
+
+  if (PyArg_ParseTuple(args,"Oh",&S,&fftLen))
+  {
+
+    ml_arm_rfft_fast_instance_f32Object *selfS = (ml_arm_rfft_fast_instance_f32Object *)S;
+
+    arm_status returnValue = arm_rfft_fast_init_f32(selfS->instance,fftLen);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_32_fast_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f32Object *selfS = (ml_arm_rfft_fast_instance_f32Object *)S;
+
+    arm_status returnValue = arm_rfft_32_fast_init_f32(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_64_fast_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f32Object *selfS = (ml_arm_rfft_fast_instance_f32Object *)S;
+
+    arm_status returnValue = arm_rfft_64_fast_init_f32(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_128_fast_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f32Object *selfS = (ml_arm_rfft_fast_instance_f32Object *)S;
+
+    arm_status returnValue = arm_rfft_128_fast_init_f32(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_256_fast_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f32Object *selfS = (ml_arm_rfft_fast_instance_f32Object *)S;
+
+    arm_status returnValue = arm_rfft_256_fast_init_f32(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_512_fast_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f32Object *selfS = (ml_arm_rfft_fast_instance_f32Object *)S;
+
+    arm_status returnValue = arm_rfft_512_fast_init_f32(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_1024_fast_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f32Object *selfS = (ml_arm_rfft_fast_instance_f32Object *)S;
+
+    arm_status returnValue = arm_rfft_1024_fast_init_f32(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_2048_fast_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f32Object *selfS = (ml_arm_rfft_fast_instance_f32Object *)S;
+
+    arm_status returnValue = arm_rfft_2048_fast_init_f32(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_4096_fast_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&S))
+  {
+
+    ml_arm_rfft_fast_instance_f32Object *selfS = (ml_arm_rfft_fast_instance_f32Object *)S;
+
+    arm_status returnValue = arm_rfft_4096_fast_init_f32(selfS->instance);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rfft_fast_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *p=NULL; // input
+  float32_t *p_converted=NULL; // input
+  float32_t *pOut=NULL; // output
+  uint32_t ifftFlag; // input
+
+  if (PyArg_ParseTuple(args,"OOi",&S,&p,&ifftFlag))
+  {
+
+    ml_arm_rfft_fast_instance_f32Object *selfS = (ml_arm_rfft_fast_instance_f32Object *)S;
+    GETARGUMENT(p,NPY_DOUBLE,double,float32_t);
+    
+    pOut=PyMem_Malloc(sizeof(float32_t)*2*selfS->instance->fftLenRFFT);
+
+
+    arm_rfft_fast_f32(selfS->instance,p_converted,pOut,(uint8_t)ifftFlag);
+ FLOATARRAY1(pOutOBJ,2*selfS->instance->fftLenRFFT,pOut);
+
+    PyObject *pythonResult = Py_BuildValue("O",pOutOBJ);
+
+    FREEARGUMENT(p_converted);
+    Py_DECREF(pOutOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_dct4_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *S_RFFT=NULL; // input
+  PyObject *S_CFFT=NULL; // input
+  uint16_t N; // input
+  uint16_t Nby2; // input
+  float32_t normalize; // input
+
+  if (PyArg_ParseTuple(args,"OOOhhf",&S,&S_RFFT,&S_CFFT,&N,&Nby2,&normalize))
+  {
+
+    ml_arm_dct4_instance_f32Object *selfS = (ml_arm_dct4_instance_f32Object *)S;
+    ml_arm_rfft_instance_f32Object *selfS_RFFT = (ml_arm_rfft_instance_f32Object *)S_RFFT;
+    ml_arm_cfft_radix4_instance_f32Object *selfS_CFFT = (ml_arm_cfft_radix4_instance_f32Object *)S_CFFT;
+    uint32_t outputLength = selfS->instance->N ;
+
+    arm_status returnValue = arm_dct4_init_f32(selfS->instance,selfS_RFFT->instance,selfS_CFFT->instance,N,Nby2,normalize);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_dct4_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pState=NULL; // input
+  float32_t *pState_converted=NULL; // input
+  PyObject *pInlineBuffer=NULL; // input
+  float32_t *pInlineBuffer_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OOO",&S,&pState,&pInlineBuffer))
+  {
+
+    ml_arm_dct4_instance_f32Object *selfS = (ml_arm_dct4_instance_f32Object *)S;
+    GETARGUMENT(pState,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pInlineBuffer,NPY_DOUBLE,double,float32_t);
+    uint32_t outputLength = selfS->instance->N ;
+
+    arm_dct4_f32(selfS->instance,pState_converted,pInlineBuffer_converted);
+ FLOATARRAY1(pInlineBufferOBJ,outputLength,pInlineBuffer_converted);
+
+    PyObject *pythonResult = Py_BuildValue("O",pInlineBufferOBJ);
+
+    FREEARGUMENT(pState_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_dct4_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *S_RFFT=NULL; // input
+  PyObject *S_CFFT=NULL; // input
+  uint16_t N; // input
+  uint16_t Nby2; // input
+  q31_t normalize; // input
+
+  if (PyArg_ParseTuple(args,"OOOhhi",&S,&S_RFFT,&S_CFFT,&N,&Nby2,&normalize))
+  {
+
+    ml_arm_dct4_instance_q31Object *selfS = (ml_arm_dct4_instance_q31Object *)S;
+    ml_arm_rfft_instance_q31Object *selfS_RFFT = (ml_arm_rfft_instance_q31Object *)S_RFFT;
+    ml_arm_cfft_radix4_instance_q31Object *selfS_CFFT = (ml_arm_cfft_radix4_instance_q31Object *)S_CFFT;
+    uint32_t outputLength = selfS->instance->N ;
+
+    arm_status returnValue = arm_dct4_init_q31(selfS->instance,selfS_RFFT->instance,selfS_CFFT->instance,N,Nby2,normalize);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_dct4_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pState=NULL; // input
+  q31_t *pState_converted=NULL; // input
+  PyObject *pInlineBuffer=NULL; // input
+  q31_t *pInlineBuffer_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OOO",&S,&pState,&pInlineBuffer))
+  {
+
+    ml_arm_dct4_instance_q31Object *selfS = (ml_arm_dct4_instance_q31Object *)S;
+    GETARGUMENT(pState,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pInlineBuffer,NPY_INT32,int32_t,int32_t);
+    uint32_t outputLength = selfS->instance->N ;
+
+    arm_dct4_q31(selfS->instance,pState_converted,pInlineBuffer_converted);
+ INT32ARRAY1(pInlineBufferOBJ,outputLength,pInlineBuffer_converted);
+
+    PyObject *pythonResult = Py_BuildValue("O",pInlineBufferOBJ);
+
+    FREEARGUMENT(pState_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_dct4_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *S_RFFT=NULL; // input
+  PyObject *S_CFFT=NULL; // input
+  uint16_t N; // input
+  uint16_t Nby2; // input
+  q15_t normalize; // input
+
+  if (PyArg_ParseTuple(args,"OOOhhh",&S,&S_RFFT,&S_CFFT,&N,&Nby2,&normalize))
+  {
+
+    ml_arm_dct4_instance_q15Object *selfS = (ml_arm_dct4_instance_q15Object *)S;
+    ml_arm_rfft_instance_q15Object *selfS_RFFT = (ml_arm_rfft_instance_q15Object *)S_RFFT;
+    ml_arm_cfft_radix4_instance_q15Object *selfS_CFFT = (ml_arm_cfft_radix4_instance_q15Object *)S_CFFT;
+    uint32_t outputLength = selfS->instance->N ;
+
+    arm_status returnValue = arm_dct4_init_q15(selfS->instance,selfS_RFFT->instance,selfS_CFFT->instance,N,Nby2,normalize);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_dct4_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pState=NULL; // input
+  q15_t *pState_converted=NULL; // input
+  PyObject *pInlineBuffer=NULL; // input
+  q15_t *pInlineBuffer_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OOO",&S,&pState,&pInlineBuffer))
+  {
+
+    ml_arm_dct4_instance_q15Object *selfS = (ml_arm_dct4_instance_q15Object *)S;
+    GETARGUMENT(pState,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pInlineBuffer,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = selfS->instance->N ;
+
+    arm_dct4_q15(selfS->instance,pState_converted,pInlineBuffer_converted);
+ INT16ARRAY1(pInlineBufferOBJ,outputLength,pInlineBuffer_converted);
+
+    PyObject *pythonResult = Py_BuildValue("O",pInlineBufferOBJ);
+
+    FREEARGUMENT(pState_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_add_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  float32_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  float32_t *pSrcB_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrcA ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_add_f32(pSrcA_converted,pSrcB_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_add_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q7_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q7_t *pSrcB_converted=NULL; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrcA ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_add_q7(pSrcA_converted,pSrcB_converted,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_add_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrcA ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_add_q15(pSrcA_converted,pSrcB_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_add_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q31_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q31_t *pSrcB_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrcA ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_add_q31(pSrcA_converted,pSrcB_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_sub_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  float32_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  float32_t *pSrcB_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrcA ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_sub_f32(pSrcA_converted,pSrcB_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_sub_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q7_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q7_t *pSrcB_converted=NULL; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrcA ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_sub_q7(pSrcA_converted,pSrcB_converted,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_sub_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrcA ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_sub_q15(pSrcA_converted,pSrcB_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_sub_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q31_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q31_t *pSrcB_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrcA ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_sub_q31(pSrcA_converted,pSrcB_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_scale_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t scale; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"Of",&pSrc,&scale))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_scale_f32(pSrc_converted,scale,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_scale_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  int32_t scaleFract; // input
+  int32_t shift; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"Oii",&pSrc,&scaleFract,&shift))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_scale_q7(pSrc_converted,(q7_t)scaleFract,(int8_t)shift,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_scale_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t scaleFract; // input
+  int32_t shift; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"Ohi",&pSrc,&scaleFract,&shift))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_scale_q15(pSrc_converted,scaleFract,(int8_t)shift,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_scale_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t scaleFract; // input
+  int32_t shift; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"Oii",&pSrc,&scaleFract,&shift))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_scale_q31(pSrc_converted,scaleFract,(int8_t)shift,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_abs_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_abs_q7(pSrc_converted,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_abs_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_abs_f32(pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_abs_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_abs_q15(pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_abs_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_abs_q31(pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_dot_prod_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  float32_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  float32_t *pSrcB_converted=NULL; // input
+  uint32_t blockSize; // input
+  float32_t *result=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrcA ;
+    
+    result=PyMem_Malloc(sizeof(float32_t)*1);
+
+
+    arm_dot_prod_f32(pSrcA_converted,pSrcB_converted,blockSize,result);
+    PyObject* resultOBJ=Py_BuildValue("f",*result);
+
+    PyObject *pythonResult = Py_BuildValue("O",resultOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(resultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_dot_prod_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q7_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q7_t *pSrcB_converted=NULL; // input
+  uint32_t blockSize; // input
+  q31_t *result=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrcA ;
+    
+    result=PyMem_Malloc(sizeof(q31_t)*1);
+
+
+    arm_dot_prod_q7(pSrcA_converted,pSrcB_converted,blockSize,result);
+    PyObject* resultOBJ=Py_BuildValue("i",*result);
+
+    PyObject *pythonResult = Py_BuildValue("O",resultOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(resultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_dot_prod_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t blockSize; // input
+  q63_t *result=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrcA ;
+    
+    result=PyMem_Malloc(sizeof(q63_t)*1);
+
+
+    arm_dot_prod_q15(pSrcA_converted,pSrcB_converted,blockSize,result);
+    PyObject* resultOBJ=Py_BuildValue("L",*result);
+
+    PyObject *pythonResult = Py_BuildValue("O",resultOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(resultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_dot_prod_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q31_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q31_t *pSrcB_converted=NULL; // input
+  uint32_t blockSize; // input
+  q63_t *result=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrcA ;
+    
+    result=PyMem_Malloc(sizeof(q63_t)*1);
+
+
+    arm_dot_prod_q31(pSrcA_converted,pSrcB_converted,blockSize,result);
+    PyObject* resultOBJ=Py_BuildValue("L",*result);
+
+    PyObject *pythonResult = Py_BuildValue("O",resultOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(resultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_shift_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  int32_t shiftBits; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"Oi",&pSrc,&shiftBits))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_shift_q7(pSrc_converted,(int8_t)shiftBits,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_shift_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  int32_t shiftBits; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"Oi",&pSrc,&shiftBits))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_shift_q15(pSrc_converted,(int8_t)shiftBits,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_shift_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  int32_t shiftBits; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"Oi",&pSrc,&shiftBits))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_shift_q31(pSrc_converted,(int8_t)shiftBits,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_offset_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t offset; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"Of",&pSrc,&offset))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_offset_f32(pSrc_converted,offset,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_offset_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  int32_t offset; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"Oi",&pSrc,&offset))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_offset_q7(pSrc_converted,(q7_t)offset,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_offset_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t offset; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"Oh",&pSrc,&offset))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_offset_q15(pSrc_converted,offset,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_offset_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t offset; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"Oi",&pSrc,&offset))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_offset_q31(pSrc_converted,offset,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_negate_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_negate_f32(pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_negate_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_negate_q7(pSrc_converted,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_negate_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_negate_q15(pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_negate_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_negate_q31(pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_copy_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_copy_f32(pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_copy_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_copy_q7(pSrc_converted,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_copy_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_copy_q15(pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_copy_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_copy_q31(pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  float32_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  float32_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  float32_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OiOi",&pSrcA,&srcALen,&pSrcB,&srcBLen))
+  {
+
+    GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*outputLength);
+
+
+    arm_conv_f32(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst);
+ FLOATARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_opt_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q15_t *pDst=NULL; // output
+  PyObject *pScratch1=NULL; // input
+  q15_t *pScratch1_converted=NULL; // input
+  PyObject *pScratch2=NULL; // input
+  q15_t *pScratch2_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOiOO",&pSrcA,&srcALen,&pSrcB,&srcBLen,&pScratch1,&pScratch2))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
+
+
+    arm_conv_opt_q15(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,pScratch1_converted,pScratch2_converted);
+ INT16ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pScratch1_converted);
+    FREEARGUMENT(pScratch2_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q15_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OiOi",&pSrcA,&srcALen,&pSrcB,&srcBLen))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
+
+
+    arm_conv_q15(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst);
+ INT16ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_fast_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q15_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OiOi",&pSrcA,&srcALen,&pSrcB,&srcBLen))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
+
+
+    arm_conv_fast_q15(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst);
+ INT16ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_fast_opt_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q15_t *pDst=NULL; // output
+  PyObject *pScratch1=NULL; // input
+  q15_t *pScratch1_converted=NULL; // input
+  PyObject *pScratch2=NULL; // input
+  q15_t *pScratch2_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOiOO",&pSrcA,&srcALen,&pSrcB,&srcBLen,&pScratch1,&pScratch2))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
+
+
+    arm_conv_fast_opt_q15(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,pScratch1_converted,pScratch2_converted);
+ INT16ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pScratch1_converted);
+    FREEARGUMENT(pScratch2_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q31_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q31_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q31_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OiOi",&pSrcA,&srcALen,&pSrcB,&srcBLen))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*outputLength);
+
+
+    arm_conv_q31(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst);
+ INT32ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_fast_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q31_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q31_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q31_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OiOi",&pSrcA,&srcALen,&pSrcB,&srcBLen))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*outputLength);
+
+
+    arm_conv_fast_q31(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst);
+ INT32ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_opt_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q7_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q7_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q7_t *pDst=NULL; // output
+  PyObject *pScratch1=NULL; // input
+  q15_t *pScratch1_converted=NULL; // input
+  PyObject *pScratch2=NULL; // input
+  q15_t *pScratch2_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOiOO",&pSrcA,&srcALen,&pSrcB,&srcBLen,&pScratch1,&pScratch2))
+  {
+
+    GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*outputLength);
+
+
+    arm_conv_opt_q7(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,pScratch1_converted,pScratch2_converted);
+ INT8ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pScratch1_converted);
+    FREEARGUMENT(pScratch2_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q7_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q7_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q7_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OiOi",&pSrcA,&srcALen,&pSrcB,&srcBLen))
+  {
+
+    GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*outputLength);
+
+
+    arm_conv_q7(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst);
+ INT8ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_partial_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  float32_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  float32_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  float32_t *pDst=NULL; // output
+  uint32_t firstIndex; // input
+  uint32_t numPoints; // input
+
+  if (PyArg_ParseTuple(args,"OiOiii",&pSrcA,&srcALen,&pSrcB,&srcBLen,&firstIndex,&numPoints))
+  {
+
+    GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*outputLength);
+
+
+    arm_status returnValue = arm_conv_partial_f32(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,firstIndex,numPoints);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+ FLOATARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_partial_opt_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q15_t *pDst=NULL; // output
+  uint32_t firstIndex; // input
+  uint32_t numPoints; // input
+  PyObject *pScratch1=NULL; // input
+  q15_t *pScratch1_converted=NULL; // input
+  PyObject *pScratch2=NULL; // input
+  q15_t *pScratch2_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOiiiOO",&pSrcA,&srcALen,&pSrcB,&srcBLen,&firstIndex,&numPoints,&pScratch1,&pScratch2))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
+
+
+    arm_status returnValue = arm_conv_partial_opt_q15(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,firstIndex,numPoints,pScratch1_converted,pScratch2_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+ INT16ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pScratch1_converted);
+    FREEARGUMENT(pScratch2_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_partial_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q15_t *pDst=NULL; // output
+  uint32_t firstIndex; // input
+  uint32_t numPoints; // input
+
+  if (PyArg_ParseTuple(args,"OiOiii",&pSrcA,&srcALen,&pSrcB,&srcBLen,&firstIndex,&numPoints))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
+
+
+    arm_status returnValue = arm_conv_partial_q15(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,firstIndex,numPoints);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+ INT16ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_partial_fast_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q15_t *pDst=NULL; // output
+  uint32_t firstIndex; // input
+  uint32_t numPoints; // input
+
+  if (PyArg_ParseTuple(args,"OiOiii",&pSrcA,&srcALen,&pSrcB,&srcBLen,&firstIndex,&numPoints))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
+
+
+    arm_status returnValue = arm_conv_partial_fast_q15(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,firstIndex,numPoints);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+ INT16ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_partial_fast_opt_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q15_t *pDst=NULL; // output
+  uint32_t firstIndex; // input
+  uint32_t numPoints; // input
+  PyObject *pScratch1=NULL; // input
+  q15_t *pScratch1_converted=NULL; // input
+  PyObject *pScratch2=NULL; // input
+  q15_t *pScratch2_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOiiiOO",&pSrcA,&srcALen,&pSrcB,&srcBLen,&firstIndex,&numPoints,&pScratch1,&pScratch2))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
+
+
+    arm_status returnValue = arm_conv_partial_fast_opt_q15(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,firstIndex,numPoints,pScratch1_converted,pScratch2_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+ INT16ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pScratch1_converted);
+    FREEARGUMENT(pScratch2_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_partial_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q31_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q31_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q31_t *pDst=NULL; // output
+  uint32_t firstIndex; // input
+  uint32_t numPoints; // input
+
+  if (PyArg_ParseTuple(args,"OiOiii",&pSrcA,&srcALen,&pSrcB,&srcBLen,&firstIndex,&numPoints))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*outputLength);
+
+
+    arm_status returnValue = arm_conv_partial_q31(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,firstIndex,numPoints);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+ INT32ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_partial_fast_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q31_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q31_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q31_t *pDst=NULL; // output
+  uint32_t firstIndex; // input
+  uint32_t numPoints; // input
+
+  if (PyArg_ParseTuple(args,"OiOiii",&pSrcA,&srcALen,&pSrcB,&srcBLen,&firstIndex,&numPoints))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*outputLength);
+
+
+    arm_status returnValue = arm_conv_partial_fast_q31(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,firstIndex,numPoints);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+ INT32ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_partial_opt_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q7_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q7_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q7_t *pDst=NULL; // output
+  uint32_t firstIndex; // input
+  uint32_t numPoints; // input
+  PyObject *pScratch1=NULL; // input
+  q15_t *pScratch1_converted=NULL; // input
+  PyObject *pScratch2=NULL; // input
+  q15_t *pScratch2_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOiiiOO",&pSrcA,&srcALen,&pSrcB,&srcBLen,&firstIndex,&numPoints,&pScratch1,&pScratch2))
+  {
+
+    GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*outputLength);
+
+
+    arm_status returnValue = arm_conv_partial_opt_q7(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,firstIndex,numPoints,pScratch1_converted,pScratch2_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+ INT8ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pScratch1_converted);
+    FREEARGUMENT(pScratch2_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_conv_partial_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q7_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q7_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q7_t *pDst=NULL; // output
+  uint32_t firstIndex; // input
+  uint32_t numPoints; // input
+
+  if (PyArg_ParseTuple(args,"OiOiii",&pSrcA,&srcALen,&pSrcB,&srcBLen,&firstIndex,&numPoints))
+  {
+
+    GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
+    uint32_t outputLength = srcALen + srcBLen - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*outputLength);
+
+
+    arm_status returnValue = arm_conv_partial_q7(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,firstIndex,numPoints);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+ INT8ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pDstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_decimate_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_decimate_instance_f32Object *selfS = (ml_arm_fir_decimate_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_fir_decimate_f32(selfS->instance,pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_decimate_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  uint32_t M; // input
+  PyObject *pCoeffs=NULL; // input
+  float32_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  float32_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhiOO",&S,&numTaps,&M,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_decimate_instance_f32Object *selfS = (ml_arm_fir_decimate_instance_f32Object *)S;
+    GETARGUMENT(pCoeffs,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pState,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_status returnValue = arm_fir_decimate_init_f32(selfS->instance,numTaps,(uint8_t)M,pCoeffs_converted,pState_converted,blockSize);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_decimate_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_decimate_instance_q15Object *selfS = (ml_arm_fir_decimate_instance_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_fir_decimate_q15(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_decimate_fast_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_decimate_instance_q15Object *selfS = (ml_arm_fir_decimate_instance_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_fir_decimate_fast_q15(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_decimate_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  uint32_t M; // input
+  PyObject *pCoeffs=NULL; // input
+  q15_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q15_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhiOO",&S,&numTaps,&M,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_decimate_instance_q15Object *selfS = (ml_arm_fir_decimate_instance_q15Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pState,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_status returnValue = arm_fir_decimate_init_q15(selfS->instance,numTaps,(uint8_t)M,pCoeffs_converted,pState_converted,blockSize);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_decimate_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_decimate_instance_q31Object *selfS = (ml_arm_fir_decimate_instance_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_fir_decimate_q31(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_decimate_fast_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_decimate_instance_q31Object *selfS = (ml_arm_fir_decimate_instance_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_fir_decimate_fast_q31(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_decimate_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  uint32_t M; // input
+  PyObject *pCoeffs=NULL; // input
+  q31_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q31_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhiOO",&S,&numTaps,&M,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_decimate_instance_q31Object *selfS = (ml_arm_fir_decimate_instance_q31Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pState,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_status returnValue = arm_fir_decimate_init_q31(selfS->instance,numTaps,(uint8_t)M,pCoeffs_converted,pState_converted,blockSize);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_interpolate_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_interpolate_instance_q15Object *selfS = (ml_arm_fir_interpolate_instance_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_fir_interpolate_q15(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_interpolate_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint32_t L; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  q15_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q15_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OihOO",&S,&L,&numTaps,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_interpolate_instance_q15Object *selfS = (ml_arm_fir_interpolate_instance_q15Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pState,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_status returnValue = arm_fir_interpolate_init_q15(selfS->instance,(uint8_t)L,numTaps,pCoeffs_converted,pState_converted,blockSize);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_interpolate_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_interpolate_instance_q31Object *selfS = (ml_arm_fir_interpolate_instance_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_fir_interpolate_q31(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_interpolate_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint32_t L; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  q31_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q31_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OihOO",&S,&L,&numTaps,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_interpolate_instance_q31Object *selfS = (ml_arm_fir_interpolate_instance_q31Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pState,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_status returnValue = arm_fir_interpolate_init_q31(selfS->instance,(uint8_t)L,numTaps,pCoeffs_converted,pState_converted,blockSize);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_interpolate_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_interpolate_instance_f32Object *selfS = (ml_arm_fir_interpolate_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_fir_interpolate_f32(selfS->instance,pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_interpolate_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint32_t L; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  float32_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  float32_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OihOO",&S,&L,&numTaps,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_interpolate_instance_f32Object *selfS = (ml_arm_fir_interpolate_instance_f32Object *)S;
+    GETARGUMENT(pCoeffs,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pState,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_status returnValue = arm_fir_interpolate_init_f32(selfS->instance,(uint8_t)L,numTaps,pCoeffs_converted,pState_converted,blockSize);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cas_df1_32x64_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  arm_biquad_cas_df1_32x64_ins_q31 *S_converted=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_biquad_cas_df1_32x64_q31(S_converted,pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cas_df1_32x64_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  arm_biquad_cas_df1_32x64_ins_q31 *S_converted=NULL; // input
+  uint32_t numStages; // input
+  PyObject *pCoeffs=NULL; // input
+  q31_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q63_t *pState_converted=NULL; // input
+  uint32_t postShift; // input
+
+  if (PyArg_ParseTuple(args,"OiOOi",&S,&numStages,&pCoeffs,&pState,&postShift))
+  {
+
+    GETARGUMENT(pCoeffs,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pState,NPY_INT64,q63_t,q63_t);
+
+    arm_biquad_cas_df1_32x64_init_q31(S_converted,(uint8_t)numStages,pCoeffs_converted,pState_converted,(uint8_t)postShift);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_df2T_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_biquad_cascade_df2T_instance_f32Object *selfS = (ml_arm_biquad_cascade_df2T_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_biquad_cascade_df2T_f32(selfS->instance,pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_stereo_df2T_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_biquad_cascade_stereo_df2T_instance_f32Object *selfS = (ml_arm_biquad_cascade_stereo_df2T_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_biquad_cascade_stereo_df2T_f32(selfS->instance,pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_df2T_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float64_t *pSrc_converted=NULL; // input
+  float64_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_biquad_cascade_df2T_instance_f64Object *selfS = (ml_arm_biquad_cascade_df2T_instance_f64Object *)S;
+    GETARGUMENT(pSrc,NPY_FLOAT64,float64_t,float64_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float64_t)*blockSize);
+
+
+    arm_biquad_cascade_df2T_f64(selfS->instance,pSrc_converted,pDst,blockSize);
+ FLOAT64ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_df2T_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint32_t numStages; // input
+  PyObject *pCoeffs=NULL; // input
+  float32_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  float32_t *pState_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOO",&S,&numStages,&pCoeffs,&pState))
+  {
+
+    ml_arm_biquad_cascade_df2T_instance_f32Object *selfS = (ml_arm_biquad_cascade_df2T_instance_f32Object *)S;
+    GETARGUMENT(pCoeffs,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pState,NPY_DOUBLE,double,float32_t);
+
+    arm_biquad_cascade_df2T_init_f32(selfS->instance,(uint8_t)numStages,pCoeffs_converted,pState_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_stereo_df2T_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint32_t numStages; // input
+  PyObject *pCoeffs=NULL; // input
+  float32_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  float32_t *pState_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOO",&S,&numStages,&pCoeffs,&pState))
+  {
+
+    ml_arm_biquad_cascade_stereo_df2T_instance_f32Object *selfS = (ml_arm_biquad_cascade_stereo_df2T_instance_f32Object *)S;
+    GETARGUMENT(pCoeffs,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pState,NPY_DOUBLE,double,float32_t);
+
+    arm_biquad_cascade_stereo_df2T_init_f32(selfS->instance,(uint8_t)numStages,pCoeffs_converted,pState_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_biquad_cascade_df2T_init_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint32_t numStages; // input
+  PyObject *pCoeffs=NULL; // input
+  float64_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  float64_t *pState_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOO",&S,&numStages,&pCoeffs,&pState))
+  {
+
+    ml_arm_biquad_cascade_df2T_instance_f64Object *selfS = (ml_arm_biquad_cascade_df2T_instance_f64Object *)S;
+    GETARGUMENT(pCoeffs,NPY_FLOAT64,float64_t,float64_t);
+    GETARGUMENT(pState,NPY_FLOAT64,float64_t,float64_t);
+
+    arm_biquad_cascade_df2T_init_f64(selfS->instance,(uint8_t)numStages,pCoeffs_converted,pState_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_lattice_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numStages; // input
+  PyObject *pCoeffs=NULL; // input
+  q15_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q15_t *pState_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OhOO",&S,&numStages,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_lattice_instance_q15Object *selfS = (ml_arm_fir_lattice_instance_q15Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pState,NPY_INT16,int16_t,int16_t);
+
+    arm_fir_lattice_init_q15(selfS->instance,numStages,pCoeffs_converted,pState_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_lattice_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_lattice_instance_q15Object *selfS = (ml_arm_fir_lattice_instance_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_fir_lattice_q15(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_lattice_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numStages; // input
+  PyObject *pCoeffs=NULL; // input
+  q31_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q31_t *pState_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OhOO",&S,&numStages,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_lattice_instance_q31Object *selfS = (ml_arm_fir_lattice_instance_q31Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pState,NPY_INT32,int32_t,int32_t);
+
+    arm_fir_lattice_init_q31(selfS->instance,numStages,pCoeffs_converted,pState_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_lattice_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_lattice_instance_q31Object *selfS = (ml_arm_fir_lattice_instance_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_fir_lattice_q31(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_lattice_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numStages; // input
+  PyObject *pCoeffs=NULL; // input
+  float32_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  float32_t *pState_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OhOO",&S,&numStages,&pCoeffs,&pState))
+  {
+
+    ml_arm_fir_lattice_instance_f32Object *selfS = (ml_arm_fir_lattice_instance_f32Object *)S;
+    GETARGUMENT(pCoeffs,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pState,NPY_DOUBLE,double,float32_t);
+
+    arm_fir_lattice_init_f32(selfS->instance,numStages,pCoeffs_converted,pState_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_lattice_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_fir_lattice_instance_f32Object *selfS = (ml_arm_fir_lattice_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_fir_lattice_f32(selfS->instance,pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_iir_lattice_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_iir_lattice_instance_f32Object *selfS = (ml_arm_iir_lattice_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_iir_lattice_f32(selfS->instance,pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_iir_lattice_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numStages; // input
+  PyObject *pkCoeffs=NULL; // input
+  float32_t *pkCoeffs_converted=NULL; // input
+  PyObject *pvCoeffs=NULL; // input
+  float32_t *pvCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  float32_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOOO",&S,&numStages,&pkCoeffs,&pvCoeffs,&pState))
+  {
+
+    ml_arm_iir_lattice_instance_f32Object *selfS = (ml_arm_iir_lattice_instance_f32Object *)S;
+    GETARGUMENT(pkCoeffs,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pvCoeffs,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pState,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepkCoeffs ;
+
+    arm_iir_lattice_init_f32(selfS->instance,numStages,pkCoeffs_converted,pvCoeffs_converted,pState_converted,blockSize);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_iir_lattice_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_iir_lattice_instance_q31Object *selfS = (ml_arm_iir_lattice_instance_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_iir_lattice_q31(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_iir_lattice_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numStages; // input
+  PyObject *pkCoeffs=NULL; // input
+  q31_t *pkCoeffs_converted=NULL; // input
+  PyObject *pvCoeffs=NULL; // input
+  q31_t *pvCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q31_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOOO",&S,&numStages,&pkCoeffs,&pvCoeffs,&pState))
+  {
+
+    ml_arm_iir_lattice_instance_q31Object *selfS = (ml_arm_iir_lattice_instance_q31Object *)S;
+    GETARGUMENT(pkCoeffs,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pvCoeffs,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pState,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepkCoeffs ;
+
+    arm_iir_lattice_init_q31(selfS->instance,numStages,pkCoeffs_converted,pvCoeffs_converted,pState_converted,blockSize);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_iir_lattice_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OO",&S,&pSrc))
+  {
+
+    ml_arm_iir_lattice_instance_q15Object *selfS = (ml_arm_iir_lattice_instance_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_iir_lattice_q15(selfS->instance,pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_iir_lattice_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numStages; // input
+  PyObject *pkCoeffs=NULL; // input
+  q15_t *pkCoeffs_converted=NULL; // input
+  PyObject *pvCoeffs=NULL; // input
+  q15_t *pvCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q15_t *pState_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOOO",&S,&numStages,&pkCoeffs,&pvCoeffs,&pState))
+  {
+
+    ml_arm_iir_lattice_instance_q15Object *selfS = (ml_arm_iir_lattice_instance_q15Object *)S;
+    GETARGUMENT(pkCoeffs,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pvCoeffs,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pState,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepkCoeffs ;
+
+    arm_iir_lattice_init_q15(selfS->instance,numStages,pkCoeffs_converted,pvCoeffs_converted,pState_converted,blockSize);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t fftLen; // input
+
+  if (PyArg_ParseTuple(args,"Oh",&S,&fftLen))
+  {
+
+    ml_arm_cfft_instance_f32Object *selfS = (ml_arm_cfft_instance_f32Object *)S;
+
+    arm_status returnValue = arm_cfft_init_f32(selfS->instance,fftLen);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t fftLen; // input
+
+  if (PyArg_ParseTuple(args,"Oh",&S,&fftLen))
+  {
+
+    ml_arm_cfft_instance_q31Object *selfS = (ml_arm_cfft_instance_q31Object *)S;
+
+    arm_status returnValue = arm_cfft_init_q31(selfS->instance,fftLen);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cfft_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t fftLen; // input
+
+  if (PyArg_ParseTuple(args,"Oh",&S,&fftLen))
+  {
+
+    ml_arm_cfft_instance_q15Object *selfS = (ml_arm_cfft_instance_q15Object *)S;
+
+    arm_status returnValue = arm_cfft_init_q15(selfS->instance,fftLen);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_lms_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  PyObject *pRef=NULL; // input
+  float32_t *pRef_converted=NULL; // input
+  float32_t *pOut=NULL; // output
+  PyObject *pErr=NULL; // input
+  float32_t *pErr_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OOOO",&S,&pSrc,&pRef,&pErr))
+  {
+
+    ml_arm_lms_instance_f32Object *selfS = (ml_arm_lms_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pRef,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pErr,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pOut=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_lms_f32(selfS->instance,pSrc_converted,pRef_converted,pOut,pErr_converted,blockSize);
+ FLOATARRAY1(pOutOBJ,blockSize,pOut);
+
+    PyObject *pythonResult = Py_BuildValue("O",pOutOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    FREEARGUMENT(pRef_converted);
+    Py_DECREF(pOutOBJ);
+    FREEARGUMENT(pErr_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_lms_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  float32_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  float32_t *pState_converted=NULL; // input
+  float32_t mu; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOOf",&S,&numTaps,&pCoeffs,&pState,&mu))
+  {
+
+    ml_arm_lms_instance_f32Object *selfS = (ml_arm_lms_instance_f32Object *)S;
+    GETARGUMENT(pCoeffs,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pState,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1 ;
+
+    arm_lms_init_f32(selfS->instance,numTaps,pCoeffs_converted,pState_converted,mu,blockSize);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_lms_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  q15_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q15_t *pState_converted=NULL; // input
+  q15_t mu; // input
+  uint32_t blockSize; // input
+  uint32_t postShift; // input
+
+  if (PyArg_ParseTuple(args,"OhOOhi",&S,&numTaps,&pCoeffs,&pState,&mu,&postShift))
+  {
+
+    ml_arm_lms_instance_q15Object *selfS = (ml_arm_lms_instance_q15Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pState,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1 ;
+
+    arm_lms_init_q15(selfS->instance,numTaps,pCoeffs_converted,pState_converted,mu,blockSize,postShift);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_lms_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  PyObject *pRef=NULL; // input
+  q15_t *pRef_converted=NULL; // input
+  q15_t *pOut=NULL; // output
+  PyObject *pErr=NULL; // input
+  q15_t *pErr_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OOOO",&S,&pSrc,&pRef,&pErr))
+  {
+
+    ml_arm_lms_instance_q15Object *selfS = (ml_arm_lms_instance_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pRef,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pErr,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pOut=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_lms_q15(selfS->instance,pSrc_converted,pRef_converted,pOut,pErr_converted,blockSize);
+ INT16ARRAY1(pOutOBJ,blockSize,pOut);
+
+    PyObject *pythonResult = Py_BuildValue("O",pOutOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    FREEARGUMENT(pRef_converted);
+    Py_DECREF(pOutOBJ);
+    FREEARGUMENT(pErr_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_lms_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  PyObject *pRef=NULL; // input
+  q31_t *pRef_converted=NULL; // input
+  q31_t *pOut=NULL; // output
+  PyObject *pErr=NULL; // input
+  q31_t *pErr_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OOOO",&S,&pSrc,&pRef,&pErr))
+  {
+
+    ml_arm_lms_instance_q31Object *selfS = (ml_arm_lms_instance_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pRef,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pErr,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pOut=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_lms_q31(selfS->instance,pSrc_converted,pRef_converted,pOut,pErr_converted,blockSize);
+ INT32ARRAY1(pOutOBJ,blockSize,pOut);
+
+    PyObject *pythonResult = Py_BuildValue("O",pOutOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    FREEARGUMENT(pRef_converted);
+    Py_DECREF(pOutOBJ);
+    FREEARGUMENT(pErr_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_lms_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  q31_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q31_t *pState_converted=NULL; // input
+  q31_t mu; // input
+  uint32_t blockSize; // input
+  uint32_t postShift; // input
+
+  if (PyArg_ParseTuple(args,"OhOOii",&S,&numTaps,&pCoeffs,&pState,&mu,&postShift))
+  {
+
+    ml_arm_lms_instance_q31Object *selfS = (ml_arm_lms_instance_q31Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pState,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1 ;
+
+    arm_lms_init_q31(selfS->instance,numTaps,pCoeffs_converted,pState_converted,mu,blockSize,postShift);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_lms_norm_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  PyObject *pRef=NULL; // input
+  float32_t *pRef_converted=NULL; // input
+  float32_t *pOut=NULL; // output
+  PyObject *pErr=NULL; // input
+  float32_t *pErr_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OOOO",&S,&pSrc,&pRef,&pErr))
+  {
+
+    ml_arm_lms_norm_instance_f32Object *selfS = (ml_arm_lms_norm_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pRef,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pErr,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pOut=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_lms_norm_f32(selfS->instance,pSrc_converted,pRef_converted,pOut,pErr_converted,blockSize);
+ FLOATARRAY1(pOutOBJ,blockSize,pOut);
+
+    PyObject *pythonResult = Py_BuildValue("O",pOutOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    FREEARGUMENT(pRef_converted);
+    Py_DECREF(pOutOBJ);
+    FREEARGUMENT(pErr_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_lms_norm_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  float32_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  float32_t *pState_converted=NULL; // input
+  float32_t mu; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOOf",&S,&numTaps,&pCoeffs,&pState,&mu))
+  {
+
+    ml_arm_lms_norm_instance_f32Object *selfS = (ml_arm_lms_norm_instance_f32Object *)S;
+    GETARGUMENT(pCoeffs,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pState,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1 ;
+
+    arm_lms_norm_init_f32(selfS->instance,numTaps,pCoeffs_converted,pState_converted,mu,blockSize);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_lms_norm_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  PyObject *pRef=NULL; // input
+  q31_t *pRef_converted=NULL; // input
+  q31_t *pOut=NULL; // output
+  PyObject *pErr=NULL; // input
+  q31_t *pErr_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OOOO",&S,&pSrc,&pRef,&pErr))
+  {
+
+    ml_arm_lms_norm_instance_q31Object *selfS = (ml_arm_lms_norm_instance_q31Object *)S;
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pRef,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pErr,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pOut=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_lms_norm_q31(selfS->instance,pSrc_converted,pRef_converted,pOut,pErr_converted,blockSize);
+ INT32ARRAY1(pOutOBJ,blockSize,pOut);
+
+    PyObject *pythonResult = Py_BuildValue("O",pOutOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    FREEARGUMENT(pRef_converted);
+    Py_DECREF(pOutOBJ);
+    FREEARGUMENT(pErr_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_lms_norm_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  q31_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q31_t *pState_converted=NULL; // input
+  q31_t mu; // input
+  uint32_t blockSize; // input
+  uint32_t postShift; // input
+
+  if (PyArg_ParseTuple(args,"OhOOii",&S,&numTaps,&pCoeffs,&pState,&mu,&postShift))
+  {
+
+    ml_arm_lms_norm_instance_q31Object *selfS = (ml_arm_lms_norm_instance_q31Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pState,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1 ;
+
+    arm_lms_norm_init_q31(selfS->instance,numTaps,pCoeffs_converted,pState_converted,mu,blockSize,(uint8_t)postShift);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_lms_norm_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  PyObject *pRef=NULL; // input
+  q15_t *pRef_converted=NULL; // input
+  q15_t *pOut=NULL; // output
+  PyObject *pErr=NULL; // input
+  q15_t *pErr_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OOOO",&S,&pSrc,&pRef,&pErr))
+  {
+
+    ml_arm_lms_norm_instance_q15Object *selfS = (ml_arm_lms_norm_instance_q15Object *)S;
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pRef,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pErr,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pOut=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_lms_norm_q15(selfS->instance,pSrc_converted,pRef_converted,pOut,pErr_converted,blockSize);
+ INT16ARRAY1(pOutOBJ,blockSize,pOut);
+
+    PyObject *pythonResult = Py_BuildValue("O",pOutOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    FREEARGUMENT(pRef_converted);
+    Py_DECREF(pOutOBJ);
+    FREEARGUMENT(pErr_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_lms_norm_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  q15_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q15_t *pState_converted=NULL; // input
+  q15_t mu; // input
+  uint32_t blockSize; // input
+  uint32_t postShift; // input
+
+  if (PyArg_ParseTuple(args,"OhOOhi",&S,&numTaps,&pCoeffs,&pState,&mu,&postShift))
+  {
+
+    ml_arm_lms_norm_instance_q15Object *selfS = (ml_arm_lms_norm_instance_q15Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pState,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1 ;
+
+    arm_lms_norm_init_q15(selfS->instance,numTaps,pCoeffs_converted,pState_converted,mu,blockSize,(uint8_t)postShift);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_correlate_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  float32_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  float32_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  float32_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OiOi",&pSrcA,&srcALen,&pSrcB,&srcBLen))
+  {
+
+    GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
+    uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*outputLength);
+
+
+    arm_correlate_f32(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst);
+ FLOATARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_correlate_opt_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q15_t *pDst=NULL; // output
+  PyObject *pScratch=NULL; // input
+  q15_t *pScratch_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOiO",&pSrcA,&srcALen,&pSrcB,&srcBLen,&pScratch))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
+
+
+    arm_correlate_opt_q15(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,pScratch_converted);
+ INT16ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pScratch_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_correlate_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q15_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OiOi",&pSrcA,&srcALen,&pSrcB,&srcBLen))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
+
+
+    arm_correlate_q15(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst);
+ INT16ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_correlate_fast_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q15_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OiOi",&pSrcA,&srcALen,&pSrcB,&srcBLen))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
+
+
+    arm_correlate_fast_q15(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst);
+ INT16ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_correlate_fast_opt_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q15_t *pDst=NULL; // output
+  PyObject *pScratch=NULL; // input
+  q15_t *pScratch_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOiO",&pSrcA,&srcALen,&pSrcB,&srcBLen,&pScratch))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*outputLength);
+
+
+    arm_correlate_fast_opt_q15(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,pScratch_converted);
+ INT16ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pScratch_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_correlate_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q31_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q31_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q31_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OiOi",&pSrcA,&srcALen,&pSrcB,&srcBLen))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
+    uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*outputLength);
+
+
+    arm_correlate_q31(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst);
+ INT32ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_correlate_fast_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q31_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q31_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q31_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OiOi",&pSrcA,&srcALen,&pSrcB,&srcBLen))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
+    uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*outputLength);
+
+
+    arm_correlate_fast_q31(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst);
+ INT32ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_correlate_opt_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q7_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q7_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q7_t *pDst=NULL; // output
+  PyObject *pScratch1=NULL; // input
+  q15_t *pScratch1_converted=NULL; // input
+  PyObject *pScratch2=NULL; // input
+  q15_t *pScratch2_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OiOiOO",&pSrcA,&srcALen,&pSrcB,&srcBLen,&pScratch1,&pScratch2))
+  {
+
+    GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pScratch1,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pScratch2,NPY_INT16,int16_t,int16_t);
+    uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*outputLength);
+
+
+    arm_correlate_opt_q7(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst,pScratch1_converted,pScratch2_converted);
+ INT8ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pScratch1_converted);
+    FREEARGUMENT(pScratch2_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_correlate_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q7_t *pSrcA_converted=NULL; // input
+  uint32_t srcALen; // input
+  PyObject *pSrcB=NULL; // input
+  q7_t *pSrcB_converted=NULL; // input
+  uint32_t srcBLen; // input
+  q7_t *pDst=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OiOi",&pSrcA,&srcALen,&pSrcB,&srcBLen))
+  {
+
+    GETARGUMENT(pSrcA,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pSrcB,NPY_BYTE,int8_t,q7_t);
+    uint32_t outputLength = 2*MAX(srcALen,srcBLen) - 1 ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*outputLength);
+
+
+    arm_correlate_q7(pSrcA_converted,srcALen,pSrcB_converted,srcBLen,pDst);
+ INT8ARRAY1(pDstOBJ,outputLength,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_sparse_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  PyObject *pScratchIn=NULL; // input
+  float32_t *pScratchIn_converted=NULL; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OOO",&S,&pSrc,&pScratchIn))
+  {
+
+    ml_arm_fir_sparse_instance_f32Object *selfS = (ml_arm_fir_sparse_instance_f32Object *)S;
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pScratchIn,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_fir_sparse_f32(selfS->instance,pSrc_converted,pDst,pScratchIn_converted,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    FREEARGUMENT(pScratchIn_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_sparse_init_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  float32_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  float32_t *pState_converted=NULL; // input
+  PyObject *pTapDelay=NULL; // input
+  int32_t *pTapDelay_converted=NULL; // input
+  uint16_t maxDelay; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOOOh",&S,&numTaps,&pCoeffs,&pState,&pTapDelay,&maxDelay))
+  {
+
+    ml_arm_fir_sparse_instance_f32Object *selfS = (ml_arm_fir_sparse_instance_f32Object *)S;
+    GETARGUMENT(pCoeffs,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pState,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pTapDelay,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_fir_sparse_init_f32(selfS->instance,numTaps,pCoeffs_converted,pState_converted,pTapDelay_converted,maxDelay,blockSize);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_sparse_init_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  q31_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q31_t *pState_converted=NULL; // input
+  PyObject *pTapDelay=NULL; // input
+  int32_t *pTapDelay_converted=NULL; // input
+  uint16_t maxDelay; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOOOh",&S,&numTaps,&pCoeffs,&pState,&pTapDelay,&maxDelay))
+  {
+
+    ml_arm_fir_sparse_instance_q31Object *selfS = (ml_arm_fir_sparse_instance_q31Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pState,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pTapDelay,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_fir_sparse_init_q31(selfS->instance,numTaps,pCoeffs_converted,pState_converted,pTapDelay_converted,maxDelay,blockSize);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_sparse_init_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  q15_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q15_t *pState_converted=NULL; // input
+  PyObject *pTapDelay=NULL; // input
+  int32_t *pTapDelay_converted=NULL; // input
+  uint16_t maxDelay; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOOOh",&S,&numTaps,&pCoeffs,&pState,&pTapDelay,&maxDelay))
+  {
+
+    ml_arm_fir_sparse_instance_q15Object *selfS = (ml_arm_fir_sparse_instance_q15Object *)S;
+    GETARGUMENT(pCoeffs,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pState,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pTapDelay,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_fir_sparse_init_q15(selfS->instance,numTaps,pCoeffs_converted,pState_converted,pTapDelay_converted,maxDelay,blockSize);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_fir_sparse_init_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  uint16_t numTaps; // input
+  PyObject *pCoeffs=NULL; // input
+  q7_t *pCoeffs_converted=NULL; // input
+  PyObject *pState=NULL; // input
+  q7_t *pState_converted=NULL; // input
+  PyObject *pTapDelay=NULL; // input
+  int32_t *pTapDelay_converted=NULL; // input
+  uint16_t maxDelay; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OhOOOh",&S,&numTaps,&pCoeffs,&pState,&pTapDelay,&maxDelay))
+  {
+
+    ml_arm_fir_sparse_instance_q7Object *selfS = (ml_arm_fir_sparse_instance_q7Object *)S;
+    GETARGUMENT(pCoeffs,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pState,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(pTapDelay,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepState - arraySizepCoeffs + 1;
+
+    arm_fir_sparse_init_q7(selfS->instance,numTaps,pCoeffs_converted,pState_converted,pTapDelay_converted,maxDelay,blockSize);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_sin_cos_f32(PyObject *obj, PyObject *args)
+{
+
+  float32_t theta; // input
+  PyObject *pSinVal=NULL; // input
+  float32_t *pSinVal_converted=NULL; // input
+  PyObject *pCosVal=NULL; // input
+  float32_t *pCosVal_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"fOO",&theta,&pSinVal,&pCosVal))
+  {
+
+    GETARGUMENT(pSinVal,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pCosVal,NPY_DOUBLE,double,float32_t);
+
+    arm_sin_cos_f32(theta,pSinVal_converted,pCosVal_converted);
+    FREEARGUMENT(pSinVal_converted);
+    FREEARGUMENT(pCosVal_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_sin_cos_q31(PyObject *obj, PyObject *args)
+{
+
+  q31_t theta; // input
+  PyObject *pSinVal=NULL; // input
+  q31_t *pSinVal_converted=NULL; // input
+  PyObject *pCosVal=NULL; // input
+  q31_t *pCosVal_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"iOO",&theta,&pSinVal,&pCosVal))
+  {
+
+    GETARGUMENT(pSinVal,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pCosVal,NPY_INT32,int32_t,int32_t);
+
+    arm_sin_cos_q31(theta,pSinVal_converted,pCosVal_converted);
+    FREEARGUMENT(pSinVal_converted);
+    FREEARGUMENT(pCosVal_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_conj_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    numSamples = arraySizepSrc ;
+    numSamples = numSamples / 2;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*2*numSamples);
+
+
+    arm_cmplx_conj_f32(pSrc_converted,pDst,numSamples);
+ FLOATARRAY1(pDstOBJ,2*numSamples,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_conj_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    numSamples = arraySizepSrc ;
+    numSamples = numSamples / 2;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*2*numSamples);
+
+
+    arm_cmplx_conj_q31(pSrc_converted,pDst,numSamples);
+ INT32ARRAY1(pDstOBJ,2*numSamples,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_conj_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    numSamples = arraySizepSrc ;
+    numSamples = numSamples / 2;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*2*numSamples);
+
+
+    arm_cmplx_conj_q15(pSrc_converted,pDst,numSamples);
+ INT16ARRAY1(pDstOBJ,2*numSamples,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_mag_squared_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    numSamples = arraySizepSrc ;
+    numSamples = numSamples / 2;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*2*numSamples);
+
+
+    arm_cmplx_mag_squared_f32(pSrc_converted,pDst,numSamples);
+ FLOATARRAY1(pDstOBJ,2*numSamples,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_mag_squared_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    numSamples = arraySizepSrc ;
+    numSamples = numSamples / 2;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*2*numSamples);
+
+
+    arm_cmplx_mag_squared_q31(pSrc_converted,pDst,numSamples);
+ INT32ARRAY1(pDstOBJ,2*numSamples,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_mag_squared_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    numSamples = arraySizepSrc ;
+    numSamples = numSamples / 2;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*2*numSamples);
+
+
+    arm_cmplx_mag_squared_q15(pSrc_converted,pDst,numSamples);
+ INT16ARRAY1(pDstOBJ,2*numSamples,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_pid_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  float32_t in; // input
+
+  if (PyArg_ParseTuple(args,"Of",&S,&in))
+  {
+
+    ml_arm_pid_instance_f32Object *selfS = (ml_arm_pid_instance_f32Object *)S;
+
+    float32_t returnValue = arm_pid_f32(selfS->instance,in);
+    PyObject* theReturnOBJ=Py_BuildValue("f",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_pid_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  q31_t in; // input
+
+  if (PyArg_ParseTuple(args,"Oi",&S,&in))
+  {
+
+    ml_arm_pid_instance_q31Object *selfS = (ml_arm_pid_instance_q31Object *)S;
+
+    q31_t returnValue = arm_pid_q31(selfS->instance,in);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_pid_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  q15_t in; // input
+
+  if (PyArg_ParseTuple(args,"Oh",&S,&in))
+  {
+
+    ml_arm_pid_instance_q15Object *selfS = (ml_arm_pid_instance_q15Object *)S;
+
+    q15_t returnValue = arm_pid_q15(selfS->instance,in);
+    PyObject* theReturnOBJ=Py_BuildValue("h",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_inverse_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *src=NULL; // input
+  arm_matrix_instance_f32 *src_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&src))
+  {
+
+    arm_matrix_instance_f32 *src_converted = f32MatrixFromNumpy(src);
+    uint32_t row = src_converted->numCols ;
+    uint32_t column = src_converted->numRows ;
+    arm_matrix_instance_f32 *dst_converted = createf32Matrix(row,column);
+
+    arm_status returnValue = arm_mat_inverse_f32(src_converted,dst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* dstOBJ=NumpyArrayFromf32Matrix(dst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,dstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(src_converted);
+    Py_DECREF(dstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mat_inverse_f64(PyObject *obj, PyObject *args)
+{
+
+  PyObject *src=NULL; // input
+  arm_matrix_instance_f64 *src_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"O",&src))
+  {
+
+    arm_matrix_instance_f64 *src_converted = f64MatrixFromNumpy(src);
+    uint32_t row = src_converted->numCols ;
+    uint32_t column = src_converted->numRows ;
+    arm_matrix_instance_f64 *dst_converted = createf64Matrix(row,column);
+
+    arm_status returnValue = arm_mat_inverse_f64(src_converted,dst_converted);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* dstOBJ=NumpyArrayFromf64Matrix(dst_converted);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,dstOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(src_converted);
+    Py_DECREF(dstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_clarke_f32(PyObject *obj, PyObject *args)
+{
+
+  float32_t Ia; // input
+  float32_t Ib; // input
+  PyObject *pIalpha=NULL; // input
+  float32_t *pIalpha_converted=NULL; // input
+  PyObject *pIbeta=NULL; // input
+  float32_t *pIbeta_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"ffOO",&Ia,&Ib,&pIalpha,&pIbeta))
+  {
+
+    GETARGUMENT(pIalpha,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pIbeta,NPY_DOUBLE,double,float32_t);
+
+    arm_clarke_f32(Ia,Ib,pIalpha_converted,pIbeta_converted);
+    FREEARGUMENT(pIalpha_converted);
+    FREEARGUMENT(pIbeta_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_clarke_q31(PyObject *obj, PyObject *args)
+{
+
+  q31_t Ia; // input
+  q31_t Ib; // input
+  PyObject *pIalpha=NULL; // input
+  q31_t *pIalpha_converted=NULL; // input
+  PyObject *pIbeta=NULL; // input
+  q31_t *pIbeta_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"iiOO",&Ia,&Ib,&pIalpha,&pIbeta))
+  {
+
+    GETARGUMENT(pIalpha,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pIbeta,NPY_INT32,int32_t,int32_t);
+
+    arm_clarke_q31(Ia,Ib,pIalpha_converted,pIbeta_converted);
+    FREEARGUMENT(pIalpha_converted);
+    FREEARGUMENT(pIbeta_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_q7_to_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_q7_to_q31(pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_inv_clarke_f32(PyObject *obj, PyObject *args)
+{
+
+  float32_t Ialpha; // input
+  float32_t Ibeta; // input
+  PyObject *pIa=NULL; // input
+  float32_t *pIa_converted=NULL; // input
+  PyObject *pIb=NULL; // input
+  float32_t *pIb_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"ffOO",&Ialpha,&Ibeta,&pIa,&pIb))
+  {
+
+    GETARGUMENT(pIa,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pIb,NPY_DOUBLE,double,float32_t);
+
+    arm_inv_clarke_f32(Ialpha,Ibeta,pIa_converted,pIb_converted);
+    FREEARGUMENT(pIa_converted);
+    FREEARGUMENT(pIb_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_inv_clarke_q31(PyObject *obj, PyObject *args)
+{
+
+  q31_t Ialpha; // input
+  q31_t Ibeta; // input
+  PyObject *pIa=NULL; // input
+  q31_t *pIa_converted=NULL; // input
+  PyObject *pIb=NULL; // input
+  q31_t *pIb_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"iiOO",&Ialpha,&Ibeta,&pIa,&pIb))
+  {
+
+    GETARGUMENT(pIa,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pIb,NPY_INT32,int32_t,int32_t);
+
+    arm_inv_clarke_q31(Ialpha,Ibeta,pIa_converted,pIb_converted);
+    FREEARGUMENT(pIa_converted);
+    FREEARGUMENT(pIb_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_q7_to_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_q7_to_q15(pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_park_f32(PyObject *obj, PyObject *args)
+{
+
+  float32_t Ialpha; // input
+  float32_t Ibeta; // input
+  PyObject *pId=NULL; // input
+  float32_t *pId_converted=NULL; // input
+  PyObject *pIq=NULL; // input
+  float32_t *pIq_converted=NULL; // input
+  float32_t sinVal; // input
+  float32_t cosVal; // input
+
+  if (PyArg_ParseTuple(args,"ffOOff",&Ialpha,&Ibeta,&pId,&pIq,&sinVal,&cosVal))
+  {
+
+    GETARGUMENT(pId,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pIq,NPY_DOUBLE,double,float32_t);
+
+    arm_park_f32(Ialpha,Ibeta,pId_converted,pIq_converted,sinVal,cosVal);
+    FREEARGUMENT(pId_converted);
+    FREEARGUMENT(pIq_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_park_q31(PyObject *obj, PyObject *args)
+{
+
+  q31_t Ialpha; // input
+  q31_t Ibeta; // input
+  PyObject *pId=NULL; // input
+  q31_t *pId_converted=NULL; // input
+  PyObject *pIq=NULL; // input
+  q31_t *pIq_converted=NULL; // input
+  q31_t sinVal; // input
+  q31_t cosVal; // input
+
+  if (PyArg_ParseTuple(args,"iiOOii",&Ialpha,&Ibeta,&pId,&pIq,&sinVal,&cosVal))
+  {
+
+    GETARGUMENT(pId,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pIq,NPY_INT32,int32_t,int32_t);
+
+    arm_park_q31(Ialpha,Ibeta,pId_converted,pIq_converted,sinVal,cosVal);
+    FREEARGUMENT(pId_converted);
+    FREEARGUMENT(pIq_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_q7_to_float(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_q7_to_float(pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_inv_park_f32(PyObject *obj, PyObject *args)
+{
+
+  float32_t Id; // input
+  float32_t Iq; // input
+  PyObject *pIalpha=NULL; // input
+  float32_t *pIalpha_converted=NULL; // input
+  PyObject *pIbeta=NULL; // input
+  float32_t *pIbeta_converted=NULL; // input
+  float32_t sinVal; // input
+  float32_t cosVal; // input
+
+  if (PyArg_ParseTuple(args,"ffOOff",&Id,&Iq,&pIalpha,&pIbeta,&sinVal,&cosVal))
+  {
+
+    GETARGUMENT(pIalpha,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pIbeta,NPY_DOUBLE,double,float32_t);
+
+    arm_inv_park_f32(Id,Iq,pIalpha_converted,pIbeta_converted,sinVal,cosVal);
+    FREEARGUMENT(pIalpha_converted);
+    FREEARGUMENT(pIbeta_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_inv_park_q31(PyObject *obj, PyObject *args)
+{
+
+  q31_t Id; // input
+  q31_t Iq; // input
+  PyObject *pIalpha=NULL; // input
+  q31_t *pIalpha_converted=NULL; // input
+  PyObject *pIbeta=NULL; // input
+  q31_t *pIbeta_converted=NULL; // input
+  q31_t sinVal; // input
+  q31_t cosVal; // input
+
+  if (PyArg_ParseTuple(args,"iiOOii",&Id,&Iq,&pIalpha,&pIbeta,&sinVal,&cosVal))
+  {
+
+    GETARGUMENT(pIalpha,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pIbeta,NPY_INT32,int32_t,int32_t);
+
+    arm_inv_park_q31(Id,Iq,pIalpha_converted,pIbeta_converted,sinVal,cosVal);
+    FREEARGUMENT(pIalpha_converted);
+    FREEARGUMENT(pIbeta_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_q31_to_float(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_q31_to_float(pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_linear_interp_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  float32_t x; // input
+
+  if (PyArg_ParseTuple(args,"Of",&S,&x))
+  {
+
+    ml_arm_linear_interp_instance_f32Object *selfS = (ml_arm_linear_interp_instance_f32Object *)S;
+
+    float32_t returnValue = arm_linear_interp_f32(selfS->instance,x);
+    PyObject* theReturnOBJ=Py_BuildValue("f",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_linear_interp_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pYData=NULL; // input
+  q31_t *pYData_converted=NULL; // input
+  q31_t x; // input
+  uint32_t nValues; // input
+
+  if (PyArg_ParseTuple(args,"Oii",&pYData,&x,&nValues))
+  {
+
+    GETARGUMENT(pYData,NPY_INT32,int32_t,int32_t);
+
+    q31_t returnValue = arm_linear_interp_q31(pYData_converted,x,nValues);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pYData_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_linear_interp_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pYData=NULL; // input
+  q15_t *pYData_converted=NULL; // input
+  q31_t x; // input
+  uint32_t nValues; // input
+
+  if (PyArg_ParseTuple(args,"Oii",&pYData,&x,&nValues))
+  {
+
+    GETARGUMENT(pYData,NPY_INT16,int16_t,int16_t);
+
+    q15_t returnValue = arm_linear_interp_q15(pYData_converted,x,nValues);
+    PyObject* theReturnOBJ=Py_BuildValue("h",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pYData_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_linear_interp_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pYData=NULL; // input
+  q7_t *pYData_converted=NULL; // input
+  q31_t x; // input
+  uint32_t nValues; // input
+
+  if (PyArg_ParseTuple(args,"Oii",&pYData,&x,&nValues))
+  {
+
+    GETARGUMENT(pYData,NPY_BYTE,int8_t,q7_t);
+
+    q7_t returnValue = arm_linear_interp_q7(pYData_converted,x,nValues);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    FREEARGUMENT(pYData_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_sin_f32(PyObject *obj, PyObject *args)
+{
+
+  float32_t x; // input
+
+  if (PyArg_ParseTuple(args,"f",&x))
+  {
+
+
+    float32_t returnValue = arm_sin_f32(x);
+    PyObject* theReturnOBJ=Py_BuildValue("f",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_sin_q31(PyObject *obj, PyObject *args)
+{
+
+  q31_t x; // input
+
+  if (PyArg_ParseTuple(args,"i",&x))
+  {
+
+
+    q31_t returnValue = arm_sin_q31(x);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_sin_q15(PyObject *obj, PyObject *args)
+{
+
+  q15_t x; // input
+
+  if (PyArg_ParseTuple(args,"h",&x))
+  {
+
+
+    q15_t returnValue = arm_sin_q15(x);
+    PyObject* theReturnOBJ=Py_BuildValue("h",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cos_f32(PyObject *obj, PyObject *args)
+{
+
+  float32_t x; // input
+
+  if (PyArg_ParseTuple(args,"f",&x))
+  {
+
+
+    float32_t returnValue = arm_cos_f32(x);
+    PyObject* theReturnOBJ=Py_BuildValue("f",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cos_q31(PyObject *obj, PyObject *args)
+{
+
+  q31_t x; // input
+
+  if (PyArg_ParseTuple(args,"i",&x))
+  {
+
+
+    q31_t returnValue = arm_cos_q31(x);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cos_q15(PyObject *obj, PyObject *args)
+{
+
+  q15_t x; // input
+
+  if (PyArg_ParseTuple(args,"h",&x))
+  {
+
+
+    q15_t returnValue = arm_cos_q15(x);
+    PyObject* theReturnOBJ=Py_BuildValue("h",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_sqrt_f32(PyObject *obj, PyObject *args)
+{
+
+  float32_t in; // input
+  float32_t *pOut=NULL; // output
+
+  if (PyArg_ParseTuple(args,"f",&in))
+  {
+
+    
+    pOut=PyMem_Malloc(sizeof(float32_t)*1);
+
+
+    arm_status returnValue = arm_sqrt_f32(in,pOut);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pOutOBJ=Py_BuildValue("f",*pOut);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pOutOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    Py_DECREF(pOutOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_sqrt_q31(PyObject *obj, PyObject *args)
+{
+
+  q31_t in; // input
+  q31_t *pOut=NULL; // output
+
+  if (PyArg_ParseTuple(args,"i",&in))
+  {
+
+    
+    pOut=PyMem_Malloc(sizeof(q31_t)*1);
+
+
+    arm_status returnValue = arm_sqrt_q31(in,pOut);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pOutOBJ=Py_BuildValue("i",*pOut);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pOutOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    Py_DECREF(pOutOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_sqrt_q15(PyObject *obj, PyObject *args)
+{
+
+  q15_t in; // input
+  q15_t *pOut=NULL; // output
+
+  if (PyArg_ParseTuple(args,"h",&in))
+  {
+
+    
+    pOut=PyMem_Malloc(sizeof(q15_t)*1);
+
+
+    arm_status returnValue = arm_sqrt_q15(in,pOut);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+    PyObject* pOutOBJ=Py_BuildValue("h",*pOut);
+
+    PyObject *pythonResult = Py_BuildValue("OO",theReturnOBJ,pOutOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    Py_DECREF(pOutOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_circularWrite_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *circBuffer=NULL; // input
+  int32_t *circBuffer_converted=NULL; // input
+  int32_t L; // input
+  PyObject *writeOffset=NULL; // input
+  uint16_t *writeOffset_converted=NULL; // input
+  int32_t bufferInc; // input
+  PyObject *src=NULL; // input
+  int32_t *src_converted=NULL; // input
+  int32_t srcInc; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OiOiOi",&circBuffer,&L,&writeOffset,&bufferInc,&src,&srcInc))
+  {
+
+    GETARGUMENT(circBuffer,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(writeOffset,NPY_UINT16,uint16_t,uint16_t);
+    GETARGUMENT(src,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizecircBuffer ;
+
+    arm_circularWrite_f32(circBuffer_converted,L,writeOffset_converted,bufferInc,src_converted,srcInc,blockSize);
+    FREEARGUMENT(circBuffer_converted);
+    FREEARGUMENT(writeOffset_converted);
+    FREEARGUMENT(src_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_circularWrite_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *circBuffer=NULL; // input
+  q15_t *circBuffer_converted=NULL; // input
+  int32_t L; // input
+  PyObject *writeOffset=NULL; // input
+  uint16_t *writeOffset_converted=NULL; // input
+  int32_t bufferInc; // input
+  PyObject *src=NULL; // input
+  q15_t *src_converted=NULL; // input
+  int32_t srcInc; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OiOiOi",&circBuffer,&L,&writeOffset,&bufferInc,&src,&srcInc))
+  {
+
+    GETARGUMENT(circBuffer,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(writeOffset,NPY_UINT16,uint16_t,uint16_t);
+    GETARGUMENT(src,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizecircBuffer ;
+
+    arm_circularWrite_q15(circBuffer_converted,L,writeOffset_converted,bufferInc,src_converted,srcInc,blockSize);
+    FREEARGUMENT(circBuffer_converted);
+    FREEARGUMENT(writeOffset_converted);
+    FREEARGUMENT(src_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_circularWrite_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *circBuffer=NULL; // input
+  q7_t *circBuffer_converted=NULL; // input
+  int32_t L; // input
+  PyObject *writeOffset=NULL; // input
+  uint16_t *writeOffset_converted=NULL; // input
+  int32_t bufferInc; // input
+  PyObject *src=NULL; // input
+  q7_t *src_converted=NULL; // input
+  int32_t srcInc; // input
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"OiOiOi",&circBuffer,&L,&writeOffset,&bufferInc,&src,&srcInc))
+  {
+
+    GETARGUMENT(circBuffer,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(writeOffset,NPY_UINT16,uint16_t,uint16_t);
+    GETARGUMENT(src,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizecircBuffer ;
+
+    arm_circularWrite_q7(circBuffer_converted,L,writeOffset_converted,bufferInc,src_converted,srcInc,blockSize);
+    FREEARGUMENT(circBuffer_converted);
+    FREEARGUMENT(writeOffset_converted);
+    FREEARGUMENT(src_converted);
+    Py_RETURN_NONE;
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_power_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q63_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q63_t)*1);
+
+
+    arm_power_q31(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("L",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_power_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  float32_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(float32_t)*1);
+
+
+    arm_power_f32(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("f",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_power_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q63_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q63_t)*1);
+
+
+    arm_power_q15(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("L",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_power_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q31_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q31_t)*1);
+
+
+    arm_power_q7(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("i",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mean_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q7_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q7_t)*1);
+
+
+    arm_mean_q7(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("i",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mean_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q15_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q15_t)*1);
+
+
+    arm_mean_q15(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("h",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mean_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q31_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q31_t)*1);
+
+
+    arm_mean_q31(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("i",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_mean_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  float32_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(float32_t)*1);
+
+
+    arm_mean_f32(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("f",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_var_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  float32_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(float32_t)*1);
+
+
+    arm_var_f32(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("f",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_var_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q31_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q31_t)*1);
+
+
+    arm_var_q31(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("i",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_var_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q15_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q15_t)*1);
+
+
+    arm_var_q15(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("h",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rms_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  float32_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(float32_t)*1);
+
+
+    arm_rms_f32(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("f",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rms_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q31_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q31_t)*1);
+
+
+    arm_rms_q31(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("i",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_rms_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q15_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q15_t)*1);
+
+
+    arm_rms_q15(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("h",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_std_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  float32_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(float32_t)*1);
+
+
+    arm_std_f32(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("f",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_std_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q31_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q31_t)*1);
+
+
+    arm_std_q31(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("i",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_std_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q15_t *pResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q15_t)*1);
+
+
+    arm_std_q15(pSrc_converted,blockSize,pResult);
+    PyObject* pResultOBJ=Py_BuildValue("h",*pResult);
+
+    PyObject *pythonResult = Py_BuildValue("O",pResultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_mag_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    numSamples = arraySizepSrc ;
+    numSamples = numSamples / 2;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*2*numSamples);
+
+
+    arm_cmplx_mag_f32(pSrc_converted,pDst,numSamples);
+ FLOATARRAY1(pDstOBJ,2*numSamples,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_mag_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    numSamples = arraySizepSrc ;
+    numSamples = numSamples / 2;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*2*numSamples);
+
+
+    arm_cmplx_mag_q31(pSrc_converted,pDst,numSamples);
+ INT32ARRAY1(pDstOBJ,2*numSamples,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_mag_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    numSamples = arraySizepSrc ;
+    numSamples = numSamples / 2;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*2*numSamples);
+
+
+    arm_cmplx_mag_q15(pSrc_converted,pDst,numSamples);
+ INT16ARRAY1(pDstOBJ,2*numSamples,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_dot_prod_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  uint32_t numSamples; // input
+  q31_t *realResult=NULL; // output
+  q31_t *imagResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    numSamples = arraySizepSrcA ;
+    numSamples = numSamples / 2;
+    
+    realResult=PyMem_Malloc(sizeof(q31_t)*1);
+
+    
+    imagResult=PyMem_Malloc(sizeof(q31_t)*1);
+
+
+    arm_cmplx_dot_prod_q15(pSrcA_converted,pSrcB_converted,numSamples,realResult,imagResult);
+    PyObject* realResultOBJ=Py_BuildValue("i",*realResult);
+    PyObject* imagResultOBJ=Py_BuildValue("i",*imagResult);
+
+    PyObject *pythonResult = Py_BuildValue("OO",realResultOBJ,imagResultOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(realResultOBJ);
+    Py_DECREF(imagResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_dot_prod_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q31_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q31_t *pSrcB_converted=NULL; // input
+  uint32_t numSamples; // input
+  q63_t *realResult=NULL; // output
+  q63_t *imagResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
+    numSamples = arraySizepSrcA ;
+    numSamples = numSamples / 2;
+    
+    realResult=PyMem_Malloc(sizeof(q63_t)*1);
+
+    
+    imagResult=PyMem_Malloc(sizeof(q63_t)*1);
+
+
+    arm_cmplx_dot_prod_q31(pSrcA_converted,pSrcB_converted,numSamples,realResult,imagResult);
+    PyObject* realResultOBJ=Py_BuildValue("L",*realResult);
+    PyObject* imagResultOBJ=Py_BuildValue("L",*imagResult);
+
+    PyObject *pythonResult = Py_BuildValue("OO",realResultOBJ,imagResultOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(realResultOBJ);
+    Py_DECREF(imagResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_dot_prod_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  float32_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  float32_t *pSrcB_converted=NULL; // input
+  uint32_t numSamples; // input
+  float32_t *realResult=NULL; // output
+  float32_t *imagResult=NULL; // output
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
+    numSamples = arraySizepSrcA ;
+    numSamples = numSamples / 2;
+    
+    realResult=PyMem_Malloc(sizeof(float32_t)*1);
+
+    
+    imagResult=PyMem_Malloc(sizeof(float32_t)*1);
+
+
+    arm_cmplx_dot_prod_f32(pSrcA_converted,pSrcB_converted,numSamples,realResult,imagResult);
+    PyObject* realResultOBJ=Py_BuildValue("f",*realResult);
+    PyObject* imagResultOBJ=Py_BuildValue("f",*imagResult);
+
+    PyObject *pythonResult = Py_BuildValue("OO",realResultOBJ,imagResultOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(realResultOBJ);
+    Py_DECREF(imagResultOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_mult_real_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcCmplx=NULL; // input
+  q15_t *pSrcCmplx_converted=NULL; // input
+  PyObject *pSrcReal=NULL; // input
+  q15_t *pSrcReal_converted=NULL; // input
+  q15_t *pCmplxDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcCmplx,&pSrcReal))
+  {
+
+    GETARGUMENT(pSrcCmplx,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcReal,NPY_INT16,int16_t,int16_t);
+    numSamples = arraySizepSrcCmplx ;
+    numSamples = numSamples / 2;
+    
+    pCmplxDst=PyMem_Malloc(sizeof(q15_t)*2*numSamples);
+
+
+    arm_cmplx_mult_real_q15(pSrcCmplx_converted,pSrcReal_converted,pCmplxDst,numSamples);
+ INT16ARRAY1(pCmplxDstOBJ,2*numSamples,pCmplxDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pCmplxDstOBJ);
+
+    FREEARGUMENT(pSrcCmplx_converted);
+    FREEARGUMENT(pSrcReal_converted);
+    Py_DECREF(pCmplxDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_mult_real_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcCmplx=NULL; // input
+  q31_t *pSrcCmplx_converted=NULL; // input
+  PyObject *pSrcReal=NULL; // input
+  q31_t *pSrcReal_converted=NULL; // input
+  q31_t *pCmplxDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcCmplx,&pSrcReal))
+  {
+
+    GETARGUMENT(pSrcCmplx,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcReal,NPY_INT32,int32_t,int32_t);
+    numSamples = arraySizepSrcCmplx ;
+    numSamples = numSamples / 2;
+    
+    pCmplxDst=PyMem_Malloc(sizeof(q31_t)*2*numSamples);
+
+
+    arm_cmplx_mult_real_q31(pSrcCmplx_converted,pSrcReal_converted,pCmplxDst,numSamples);
+ INT32ARRAY1(pCmplxDstOBJ,2*numSamples,pCmplxDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pCmplxDstOBJ);
+
+    FREEARGUMENT(pSrcCmplx_converted);
+    FREEARGUMENT(pSrcReal_converted);
+    Py_DECREF(pCmplxDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_mult_real_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcCmplx=NULL; // input
+  float32_t *pSrcCmplx_converted=NULL; // input
+  PyObject *pSrcReal=NULL; // input
+  float32_t *pSrcReal_converted=NULL; // input
+  float32_t *pCmplxDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcCmplx,&pSrcReal))
+  {
+
+    GETARGUMENT(pSrcCmplx,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pSrcReal,NPY_DOUBLE,double,float32_t);
+    numSamples = arraySizepSrcCmplx ;
+    numSamples = numSamples / 2;
+    
+    pCmplxDst=PyMem_Malloc(sizeof(float32_t)*2*numSamples);
+
+
+    arm_cmplx_mult_real_f32(pSrcCmplx_converted,pSrcReal_converted,pCmplxDst,numSamples);
+ FLOATARRAY1(pCmplxDstOBJ,2*numSamples,pCmplxDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pCmplxDstOBJ);
+
+    FREEARGUMENT(pSrcCmplx_converted);
+    FREEARGUMENT(pSrcReal_converted);
+    Py_DECREF(pCmplxDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_min_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q7_t *result=NULL; // output
+  PyObject *index=NULL; // input
+  uint32_t *index_converted=NULL; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrc,&index))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    GETARGUMENT(index,NPY_UINT32,uint32_t,uint32_t);
+    blockSize = arraySizepSrc ;
+    
+    result=PyMem_Malloc(sizeof(q7_t)*1);
+
+
+    arm_min_q7(pSrc_converted,blockSize,result,index_converted);
+    PyObject* resultOBJ=Py_BuildValue("i",*result);
+
+    PyObject *pythonResult = Py_BuildValue("O",resultOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(resultOBJ);
+    FREEARGUMENT(index_converted);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_min_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q15_t *pResult=NULL; // output
+  uint32_t *pIndex=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q15_t)*1);
+
+    
+    pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
+
+
+    arm_min_q15(pSrc_converted,blockSize,pResult,pIndex);
+    PyObject* pResultOBJ=Py_BuildValue("h",*pResult);
+    PyObject* pIndexOBJ=Py_BuildValue("i",*pIndex);
+
+    PyObject *pythonResult = Py_BuildValue("OO",pResultOBJ,pIndexOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    Py_DECREF(pIndexOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_min_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q31_t *pResult=NULL; // output
+  uint32_t *pIndex=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q31_t)*1);
+
+    
+    pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
+
+
+    arm_min_q31(pSrc_converted,blockSize,pResult,pIndex);
+    PyObject* pResultOBJ=Py_BuildValue("i",*pResult);
+    PyObject* pIndexOBJ=Py_BuildValue("i",*pIndex);
+
+    PyObject *pythonResult = Py_BuildValue("OO",pResultOBJ,pIndexOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    Py_DECREF(pIndexOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_min_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  float32_t *pResult=NULL; // output
+  uint32_t *pIndex=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(float32_t)*1);
+
+    
+    pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
+
+
+    arm_min_f32(pSrc_converted,blockSize,pResult,pIndex);
+    PyObject* pResultOBJ=Py_BuildValue("f",*pResult);
+    PyObject* pIndexOBJ=Py_BuildValue("i",*pIndex);
+
+    PyObject *pythonResult = Py_BuildValue("OO",pResultOBJ,pIndexOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    Py_DECREF(pIndexOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_max_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q7_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q7_t *pResult=NULL; // output
+  uint32_t *pIndex=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_BYTE,int8_t,q7_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q7_t)*1);
+
+    
+    pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
+
+
+    arm_max_q7(pSrc_converted,blockSize,pResult,pIndex);
+    PyObject* pResultOBJ=Py_BuildValue("i",*pResult);
+    PyObject* pIndexOBJ=Py_BuildValue("i",*pIndex);
+
+    PyObject *pythonResult = Py_BuildValue("OO",pResultOBJ,pIndexOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    Py_DECREF(pIndexOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_max_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q15_t *pResult=NULL; // output
+  uint32_t *pIndex=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q15_t)*1);
+
+    
+    pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
+
+
+    arm_max_q15(pSrc_converted,blockSize,pResult,pIndex);
+    PyObject* pResultOBJ=Py_BuildValue("h",*pResult);
+    PyObject* pIndexOBJ=Py_BuildValue("i",*pIndex);
+
+    PyObject *pythonResult = Py_BuildValue("OO",pResultOBJ,pIndexOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    Py_DECREF(pIndexOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_max_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  q31_t *pResult=NULL; // output
+  uint32_t *pIndex=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(q31_t)*1);
+
+    
+    pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
+
+
+    arm_max_q31(pSrc_converted,blockSize,pResult,pIndex);
+    PyObject* pResultOBJ=Py_BuildValue("i",*pResult);
+    PyObject* pIndexOBJ=Py_BuildValue("i",*pIndex);
+
+    PyObject *pythonResult = Py_BuildValue("OO",pResultOBJ,pIndexOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    Py_DECREF(pIndexOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_max_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  uint32_t blockSize; // input
+  float32_t *pResult=NULL; // output
+  uint32_t *pIndex=NULL; // output
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pResult=PyMem_Malloc(sizeof(float32_t)*1);
+
+    
+    pIndex=PyMem_Malloc(sizeof(uint32_t)*1);
+
+
+    arm_max_f32(pSrc_converted,blockSize,pResult,pIndex);
+    PyObject* pResultOBJ=Py_BuildValue("f",*pResult);
+    PyObject* pIndexOBJ=Py_BuildValue("i",*pIndex);
+
+    PyObject *pythonResult = Py_BuildValue("OO",pResultOBJ,pIndexOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pResultOBJ);
+    Py_DECREF(pIndexOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_mult_cmplx_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q15_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q15_t *pSrcB_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT16,int16_t,int16_t);
+    GETARGUMENT(pSrcB,NPY_INT16,int16_t,int16_t);
+    numSamples = arraySizepSrcA ;
+    numSamples = numSamples / 2;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*2*numSamples);
+
+
+    arm_cmplx_mult_cmplx_q15(pSrcA_converted,pSrcB_converted,pDst,numSamples);
+ INT16ARRAY1(pDstOBJ,2*numSamples,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_mult_cmplx_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  q31_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  q31_t *pSrcB_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_INT32,int32_t,int32_t);
+    GETARGUMENT(pSrcB,NPY_INT32,int32_t,int32_t);
+    numSamples = arraySizepSrcA ;
+    numSamples = numSamples / 2;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*2*numSamples);
+
+
+    arm_cmplx_mult_cmplx_q31(pSrcA_converted,pSrcB_converted,pDst,numSamples);
+ INT32ARRAY1(pDstOBJ,2*numSamples,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_cmplx_mult_cmplx_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrcA=NULL; // input
+  float32_t *pSrcA_converted=NULL; // input
+  PyObject *pSrcB=NULL; // input
+  float32_t *pSrcB_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t numSamples; // input
+
+  if (PyArg_ParseTuple(args,"OO",&pSrcA,&pSrcB))
+  {
+
+    GETARGUMENT(pSrcA,NPY_DOUBLE,double,float32_t);
+    GETARGUMENT(pSrcB,NPY_DOUBLE,double,float32_t);
+    numSamples = arraySizepSrcA ;
+    numSamples = numSamples / 2;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*2*numSamples);
+
+
+    arm_cmplx_mult_cmplx_f32(pSrcA_converted,pSrcB_converted,pDst,numSamples);
+ FLOATARRAY1(pDstOBJ,2*numSamples,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrcA_converted);
+    FREEARGUMENT(pSrcB_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_float_to_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_float_to_q31(pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_float_to_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_float_to_q15(pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_float_to_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  float32_t *pSrc_converted=NULL; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_DOUBLE,double,float32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_float_to_q7(pSrc_converted,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_q31_to_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q15_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q15_t)*blockSize);
+
+
+    arm_q31_to_q15(pSrc_converted,pDst,blockSize);
+ INT16ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_q31_to_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q31_t *pSrc_converted=NULL; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT32,int32_t,int32_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_q31_to_q7(pSrc_converted,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_q15_to_float(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  float32_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(float32_t)*blockSize);
+
+
+    arm_q15_to_float(pSrc_converted,pDst,blockSize);
+ FLOATARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_q15_to_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q31_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q31_t)*blockSize);
+
+
+    arm_q15_to_q31(pSrc_converted,pDst,blockSize);
+ INT32ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_q15_to_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *pSrc=NULL; // input
+  q15_t *pSrc_converted=NULL; // input
+  q7_t *pDst=NULL; // output
+  uint32_t blockSize; // input
+
+  if (PyArg_ParseTuple(args,"O",&pSrc))
+  {
+
+    GETARGUMENT(pSrc,NPY_INT16,int16_t,int16_t);
+    blockSize = arraySizepSrc ;
+    
+    pDst=PyMem_Malloc(sizeof(q7_t)*blockSize);
+
+
+    arm_q15_to_q7(pSrc_converted,pDst,blockSize);
+ INT8ARRAY1(pDstOBJ,blockSize,pDst);
+
+    PyObject *pythonResult = Py_BuildValue("O",pDstOBJ);
+
+    FREEARGUMENT(pSrc_converted);
+    Py_DECREF(pDstOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_bilinear_interp_f32(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  float32_t X; // input
+  float32_t Y; // input
+
+  if (PyArg_ParseTuple(args,"Off",&S,&X,&Y))
+  {
+
+    ml_arm_bilinear_interp_instance_f32Object *selfS = (ml_arm_bilinear_interp_instance_f32Object *)S;
+
+    float32_t returnValue = arm_bilinear_interp_f32(selfS->instance,X,Y);
+    PyObject* theReturnOBJ=Py_BuildValue("f",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_bilinear_interp_q31(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  q31_t X; // input
+  q31_t Y; // input
+
+  if (PyArg_ParseTuple(args,"Oii",&S,&X,&Y))
+  {
+
+    ml_arm_bilinear_interp_instance_q31Object *selfS = (ml_arm_bilinear_interp_instance_q31Object *)S;
+
+    q31_t returnValue = arm_bilinear_interp_q31(selfS->instance,X,Y);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_bilinear_interp_q15(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  q31_t X; // input
+  q31_t Y; // input
+
+  if (PyArg_ParseTuple(args,"Oii",&S,&X,&Y))
+  {
+
+    ml_arm_bilinear_interp_instance_q15Object *selfS = (ml_arm_bilinear_interp_instance_q15Object *)S;
+
+    q15_t returnValue = arm_bilinear_interp_q15(selfS->instance,X,Y);
+    PyObject* theReturnOBJ=Py_BuildValue("h",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyObject *
+cmsis_arm_bilinear_interp_q7(PyObject *obj, PyObject *args)
+{
+
+  PyObject *S=NULL; // input
+  q31_t X; // input
+  q31_t Y; // input
+
+  if (PyArg_ParseTuple(args,"Oii",&S,&X,&Y))
+  {
+
+    ml_arm_bilinear_interp_instance_q7Object *selfS = (ml_arm_bilinear_interp_instance_q7Object *)S;
+
+    q7_t returnValue = arm_bilinear_interp_q7(selfS->instance,X,Y);
+    PyObject* theReturnOBJ=Py_BuildValue("i",returnValue);
+
+    PyObject *pythonResult = Py_BuildValue("O",theReturnOBJ);
+
+    Py_DECREF(theReturnOBJ);
+    return(pythonResult);
+
+  }
+  return(NULL);
+}
+
+
+static PyMethodDef CMSISMLMethods[] = {
+
+{"arm_recip_q31",  cmsis_arm_recip_q31, METH_VARARGS,""},
+{"arm_recip_q15",  cmsis_arm_recip_q15, METH_VARARGS,""},
+{"arm_fir_q7",  cmsis_arm_fir_q7, METH_VARARGS,""},
+{"arm_fir_init_q7",  cmsis_arm_fir_init_q7, METH_VARARGS,""},
+{"arm_fir_q15",  cmsis_arm_fir_q15, METH_VARARGS,""},
+{"arm_fir_fast_q15",  cmsis_arm_fir_fast_q15, METH_VARARGS,""},
+{"arm_fir_init_q15",  cmsis_arm_fir_init_q15, METH_VARARGS,""},
+{"arm_fir_q31",  cmsis_arm_fir_q31, METH_VARARGS,""},
+{"arm_fir_fast_q31",  cmsis_arm_fir_fast_q31, METH_VARARGS,""},
+{"arm_fir_init_q31",  cmsis_arm_fir_init_q31, METH_VARARGS,""},
+{"arm_fir_f32",  cmsis_arm_fir_f32, METH_VARARGS,""},
+{"arm_fir_init_f32",  cmsis_arm_fir_init_f32, METH_VARARGS,""},
+{"arm_biquad_cascade_df1_q15",  cmsis_arm_biquad_cascade_df1_q15, METH_VARARGS,""},
+{"arm_biquad_cascade_df1_init_q15",  cmsis_arm_biquad_cascade_df1_init_q15, METH_VARARGS,""},
+{"arm_biquad_cascade_df1_fast_q15",  cmsis_arm_biquad_cascade_df1_fast_q15, METH_VARARGS,""},
+{"arm_biquad_cascade_df1_q31",  cmsis_arm_biquad_cascade_df1_q31, METH_VARARGS,""},
+{"arm_biquad_cascade_df1_fast_q31",  cmsis_arm_biquad_cascade_df1_fast_q31, METH_VARARGS,""},
+{"arm_biquad_cascade_df1_init_q31",  cmsis_arm_biquad_cascade_df1_init_q31, METH_VARARGS,""},
+{"arm_biquad_cascade_df1_f32",  cmsis_arm_biquad_cascade_df1_f32, METH_VARARGS,""},
+{"arm_biquad_cascade_df1_init_f32",  cmsis_arm_biquad_cascade_df1_init_f32, METH_VARARGS,""},
+{"arm_mat_add_f32",  cmsis_arm_mat_add_f32, METH_VARARGS,""},
+{"arm_mat_add_q15",  cmsis_arm_mat_add_q15, METH_VARARGS,""},
+{"arm_mat_add_q31",  cmsis_arm_mat_add_q31, METH_VARARGS,""},
+{"arm_mat_cmplx_mult_f32",  cmsis_arm_mat_cmplx_mult_f32, METH_VARARGS,""},
+{"arm_mat_cmplx_mult_q15",  cmsis_arm_mat_cmplx_mult_q15, METH_VARARGS,""},
+{"arm_mat_cmplx_mult_q31",  cmsis_arm_mat_cmplx_mult_q31, METH_VARARGS,""},
+{"arm_mat_trans_f32",  cmsis_arm_mat_trans_f32, METH_VARARGS,""},
+{"arm_mat_trans_q15",  cmsis_arm_mat_trans_q15, METH_VARARGS,""},
+{"arm_mat_trans_q31",  cmsis_arm_mat_trans_q31, METH_VARARGS,""},
+{"arm_mat_mult_f32",  cmsis_arm_mat_mult_f32, METH_VARARGS,""},
+{"arm_mat_mult_q15",  cmsis_arm_mat_mult_q15, METH_VARARGS,""},
+{"arm_mat_mult_fast_q15",  cmsis_arm_mat_mult_fast_q15, METH_VARARGS,""},
+{"arm_mat_mult_q31",  cmsis_arm_mat_mult_q31, METH_VARARGS,""},
+{"arm_mat_mult_fast_q31",  cmsis_arm_mat_mult_fast_q31, METH_VARARGS,""},
+{"arm_mat_sub_f32",  cmsis_arm_mat_sub_f32, METH_VARARGS,""},
+{"arm_mat_sub_q15",  cmsis_arm_mat_sub_q15, METH_VARARGS,""},
+{"arm_mat_sub_q31",  cmsis_arm_mat_sub_q31, METH_VARARGS,""},
+{"arm_mat_scale_f32",  cmsis_arm_mat_scale_f32, METH_VARARGS,""},
+{"arm_mat_scale_q15",  cmsis_arm_mat_scale_q15, METH_VARARGS,""},
+{"arm_mat_scale_q31",  cmsis_arm_mat_scale_q31, METH_VARARGS,""},
+{"arm_pid_init_f32",  cmsis_arm_pid_init_f32, METH_VARARGS,""},
+{"arm_pid_reset_f32",  cmsis_arm_pid_reset_f32, METH_VARARGS,""},
+{"arm_pid_init_q31",  cmsis_arm_pid_init_q31, METH_VARARGS,""},
+{"arm_pid_reset_q31",  cmsis_arm_pid_reset_q31, METH_VARARGS,""},
+{"arm_pid_init_q15",  cmsis_arm_pid_init_q15, METH_VARARGS,""},
+{"arm_pid_reset_q15",  cmsis_arm_pid_reset_q15, METH_VARARGS,""},
+{"arm_mult_q7",  cmsis_arm_mult_q7, METH_VARARGS,""},
+{"arm_mult_q15",  cmsis_arm_mult_q15, METH_VARARGS,""},
+{"arm_mult_q31",  cmsis_arm_mult_q31, METH_VARARGS,""},
+{"arm_mult_f32",  cmsis_arm_mult_f32, METH_VARARGS,""},
+{"arm_cfft_radix2_init_q15",  cmsis_arm_cfft_radix2_init_q15, METH_VARARGS,""},
+{"arm_cfft_radix2_q15",  cmsis_arm_cfft_radix2_q15, METH_VARARGS,""},
+{"arm_cfft_radix4_init_q15",  cmsis_arm_cfft_radix4_init_q15, METH_VARARGS,""},
+{"arm_cfft_radix4_q15",  cmsis_arm_cfft_radix4_q15, METH_VARARGS,""},
+{"arm_cfft_radix2_init_q31",  cmsis_arm_cfft_radix2_init_q31, METH_VARARGS,""},
+{"arm_cfft_radix2_q31",  cmsis_arm_cfft_radix2_q31, METH_VARARGS,""},
+{"arm_cfft_radix4_q31",  cmsis_arm_cfft_radix4_q31, METH_VARARGS,""},
+{"arm_cfft_radix4_init_q31",  cmsis_arm_cfft_radix4_init_q31, METH_VARARGS,""},
+{"arm_cfft_radix2_init_f32",  cmsis_arm_cfft_radix2_init_f32, METH_VARARGS,""},
+{"arm_cfft_radix2_f32",  cmsis_arm_cfft_radix2_f32, METH_VARARGS,""},
+{"arm_cfft_radix4_init_f32",  cmsis_arm_cfft_radix4_init_f32, METH_VARARGS,""},
+{"arm_cfft_radix4_f32",  cmsis_arm_cfft_radix4_f32, METH_VARARGS,""},
+{"arm_cfft_q15",  cmsis_arm_cfft_q15, METH_VARARGS,""},
+{"arm_cfft_q31",  cmsis_arm_cfft_q31, METH_VARARGS,""},
+{"arm_cfft_f32",  cmsis_arm_cfft_f32, METH_VARARGS,""},
+{"arm_rfft_init_q15",  cmsis_arm_rfft_init_q15, METH_VARARGS,""},
+{"arm_rfft_q15",  cmsis_arm_rfft_q15, METH_VARARGS,""},
+{"arm_rfft_init_q31",  cmsis_arm_rfft_init_q31, METH_VARARGS,""},
+{"arm_rfft_q31",  cmsis_arm_rfft_q31, METH_VARARGS,""},
+{"arm_rfft_init_f32",  cmsis_arm_rfft_init_f32, METH_VARARGS,""},
+{"arm_rfft_f32",  cmsis_arm_rfft_f32, METH_VARARGS,""},
+{"arm_rfft_fast_init_f32",  cmsis_arm_rfft_fast_init_f32, METH_VARARGS,""},
+{"arm_rfft_32_fast_init_f32",  cmsis_arm_rfft_32_fast_init_f32, METH_VARARGS,""},
+{"arm_rfft_64_fast_init_f32",  cmsis_arm_rfft_64_fast_init_f32, METH_VARARGS,""},
+{"arm_rfft_128_fast_init_f32",  cmsis_arm_rfft_128_fast_init_f32, METH_VARARGS,""},
+{"arm_rfft_256_fast_init_f32",  cmsis_arm_rfft_256_fast_init_f32, METH_VARARGS,""},
+{"arm_rfft_512_fast_init_f32",  cmsis_arm_rfft_512_fast_init_f32, METH_VARARGS,""},
+{"arm_rfft_1024_fast_init_f32",  cmsis_arm_rfft_1024_fast_init_f32, METH_VARARGS,""},
+{"arm_rfft_2048_fast_init_f32",  cmsis_arm_rfft_2048_fast_init_f32, METH_VARARGS,""},
+{"arm_rfft_4096_fast_init_f32",  cmsis_arm_rfft_4096_fast_init_f32, METH_VARARGS,""},
+{"arm_rfft_fast_f32",  cmsis_arm_rfft_fast_f32, METH_VARARGS,""},
+{"arm_dct4_init_f32",  cmsis_arm_dct4_init_f32, METH_VARARGS,""},
+{"arm_dct4_f32",  cmsis_arm_dct4_f32, METH_VARARGS,""},
+{"arm_dct4_init_q31",  cmsis_arm_dct4_init_q31, METH_VARARGS,""},
+{"arm_dct4_q31",  cmsis_arm_dct4_q31, METH_VARARGS,""},
+{"arm_dct4_init_q15",  cmsis_arm_dct4_init_q15, METH_VARARGS,""},
+{"arm_dct4_q15",  cmsis_arm_dct4_q15, METH_VARARGS,""},
+{"arm_add_f32",  cmsis_arm_add_f32, METH_VARARGS,""},
+{"arm_add_q7",  cmsis_arm_add_q7, METH_VARARGS,""},
+{"arm_add_q15",  cmsis_arm_add_q15, METH_VARARGS,""},
+{"arm_add_q31",  cmsis_arm_add_q31, METH_VARARGS,""},
+{"arm_sub_f32",  cmsis_arm_sub_f32, METH_VARARGS,""},
+{"arm_sub_q7",  cmsis_arm_sub_q7, METH_VARARGS,""},
+{"arm_sub_q15",  cmsis_arm_sub_q15, METH_VARARGS,""},
+{"arm_sub_q31",  cmsis_arm_sub_q31, METH_VARARGS,""},
+{"arm_scale_f32",  cmsis_arm_scale_f32, METH_VARARGS,""},
+{"arm_scale_q7",  cmsis_arm_scale_q7, METH_VARARGS,""},
+{"arm_scale_q15",  cmsis_arm_scale_q15, METH_VARARGS,""},
+{"arm_scale_q31",  cmsis_arm_scale_q31, METH_VARARGS,""},
+{"arm_abs_q7",  cmsis_arm_abs_q7, METH_VARARGS,""},
+{"arm_abs_f32",  cmsis_arm_abs_f32, METH_VARARGS,""},
+{"arm_abs_q15",  cmsis_arm_abs_q15, METH_VARARGS,""},
+{"arm_abs_q31",  cmsis_arm_abs_q31, METH_VARARGS,""},
+{"arm_dot_prod_f32",  cmsis_arm_dot_prod_f32, METH_VARARGS,""},
+{"arm_dot_prod_q7",  cmsis_arm_dot_prod_q7, METH_VARARGS,""},
+{"arm_dot_prod_q15",  cmsis_arm_dot_prod_q15, METH_VARARGS,""},
+{"arm_dot_prod_q31",  cmsis_arm_dot_prod_q31, METH_VARARGS,""},
+{"arm_shift_q7",  cmsis_arm_shift_q7, METH_VARARGS,""},
+{"arm_shift_q15",  cmsis_arm_shift_q15, METH_VARARGS,""},
+{"arm_shift_q31",  cmsis_arm_shift_q31, METH_VARARGS,""},
+{"arm_offset_f32",  cmsis_arm_offset_f32, METH_VARARGS,""},
+{"arm_offset_q7",  cmsis_arm_offset_q7, METH_VARARGS,""},
+{"arm_offset_q15",  cmsis_arm_offset_q15, METH_VARARGS,""},
+{"arm_offset_q31",  cmsis_arm_offset_q31, METH_VARARGS,""},
+{"arm_negate_f32",  cmsis_arm_negate_f32, METH_VARARGS,""},
+{"arm_negate_q7",  cmsis_arm_negate_q7, METH_VARARGS,""},
+{"arm_negate_q15",  cmsis_arm_negate_q15, METH_VARARGS,""},
+{"arm_negate_q31",  cmsis_arm_negate_q31, METH_VARARGS,""},
+{"arm_copy_f32",  cmsis_arm_copy_f32, METH_VARARGS,""},
+{"arm_copy_q7",  cmsis_arm_copy_q7, METH_VARARGS,""},
+{"arm_copy_q15",  cmsis_arm_copy_q15, METH_VARARGS,""},
+{"arm_copy_q31",  cmsis_arm_copy_q31, METH_VARARGS,""},
+{"arm_conv_f32",  cmsis_arm_conv_f32, METH_VARARGS,""},
+{"arm_conv_opt_q15",  cmsis_arm_conv_opt_q15, METH_VARARGS,""},
+{"arm_conv_q15",  cmsis_arm_conv_q15, METH_VARARGS,""},
+{"arm_conv_fast_q15",  cmsis_arm_conv_fast_q15, METH_VARARGS,""},
+{"arm_conv_fast_opt_q15",  cmsis_arm_conv_fast_opt_q15, METH_VARARGS,""},
+{"arm_conv_q31",  cmsis_arm_conv_q31, METH_VARARGS,""},
+{"arm_conv_fast_q31",  cmsis_arm_conv_fast_q31, METH_VARARGS,""},
+{"arm_conv_opt_q7",  cmsis_arm_conv_opt_q7, METH_VARARGS,""},
+{"arm_conv_q7",  cmsis_arm_conv_q7, METH_VARARGS,""},
+{"arm_conv_partial_f32",  cmsis_arm_conv_partial_f32, METH_VARARGS,""},
+{"arm_conv_partial_opt_q15",  cmsis_arm_conv_partial_opt_q15, METH_VARARGS,""},
+{"arm_conv_partial_q15",  cmsis_arm_conv_partial_q15, METH_VARARGS,""},
+{"arm_conv_partial_fast_q15",  cmsis_arm_conv_partial_fast_q15, METH_VARARGS,""},
+{"arm_conv_partial_fast_opt_q15",  cmsis_arm_conv_partial_fast_opt_q15, METH_VARARGS,""},
+{"arm_conv_partial_q31",  cmsis_arm_conv_partial_q31, METH_VARARGS,""},
+{"arm_conv_partial_fast_q31",  cmsis_arm_conv_partial_fast_q31, METH_VARARGS,""},
+{"arm_conv_partial_opt_q7",  cmsis_arm_conv_partial_opt_q7, METH_VARARGS,""},
+{"arm_conv_partial_q7",  cmsis_arm_conv_partial_q7, METH_VARARGS,""},
+{"arm_fir_decimate_f32",  cmsis_arm_fir_decimate_f32, METH_VARARGS,""},
+{"arm_fir_decimate_init_f32",  cmsis_arm_fir_decimate_init_f32, METH_VARARGS,""},
+{"arm_fir_decimate_q15",  cmsis_arm_fir_decimate_q15, METH_VARARGS,""},
+{"arm_fir_decimate_fast_q15",  cmsis_arm_fir_decimate_fast_q15, METH_VARARGS,""},
+{"arm_fir_decimate_init_q15",  cmsis_arm_fir_decimate_init_q15, METH_VARARGS,""},
+{"arm_fir_decimate_q31",  cmsis_arm_fir_decimate_q31, METH_VARARGS,""},
+{"arm_fir_decimate_fast_q31",  cmsis_arm_fir_decimate_fast_q31, METH_VARARGS,""},
+{"arm_fir_decimate_init_q31",  cmsis_arm_fir_decimate_init_q31, METH_VARARGS,""},
+{"arm_fir_interpolate_q15",  cmsis_arm_fir_interpolate_q15, METH_VARARGS,""},
+{"arm_fir_interpolate_init_q15",  cmsis_arm_fir_interpolate_init_q15, METH_VARARGS,""},
+{"arm_fir_interpolate_q31",  cmsis_arm_fir_interpolate_q31, METH_VARARGS,""},
+{"arm_fir_interpolate_init_q31",  cmsis_arm_fir_interpolate_init_q31, METH_VARARGS,""},
+{"arm_fir_interpolate_f32",  cmsis_arm_fir_interpolate_f32, METH_VARARGS,""},
+{"arm_fir_interpolate_init_f32",  cmsis_arm_fir_interpolate_init_f32, METH_VARARGS,""},
+{"arm_biquad_cas_df1_32x64_q31",  cmsis_arm_biquad_cas_df1_32x64_q31, METH_VARARGS,""},
+{"arm_biquad_cas_df1_32x64_init_q31",  cmsis_arm_biquad_cas_df1_32x64_init_q31, METH_VARARGS,""},
+{"arm_biquad_cascade_df2T_f32",  cmsis_arm_biquad_cascade_df2T_f32, METH_VARARGS,""},
+{"arm_biquad_cascade_stereo_df2T_f32",  cmsis_arm_biquad_cascade_stereo_df2T_f32, METH_VARARGS,""},
+{"arm_biquad_cascade_df2T_f64",  cmsis_arm_biquad_cascade_df2T_f64, METH_VARARGS,""},
+{"arm_biquad_cascade_df2T_init_f32",  cmsis_arm_biquad_cascade_df2T_init_f32, METH_VARARGS,""},
+{"arm_biquad_cascade_stereo_df2T_init_f32",  cmsis_arm_biquad_cascade_stereo_df2T_init_f32, METH_VARARGS,""},
+{"arm_biquad_cascade_df2T_init_f64",  cmsis_arm_biquad_cascade_df2T_init_f64, METH_VARARGS,""},
+{"arm_fir_lattice_init_q15",  cmsis_arm_fir_lattice_init_q15, METH_VARARGS,""},
+{"arm_fir_lattice_q15",  cmsis_arm_fir_lattice_q15, METH_VARARGS,""},
+{"arm_fir_lattice_init_q31",  cmsis_arm_fir_lattice_init_q31, METH_VARARGS,""},
+{"arm_fir_lattice_q31",  cmsis_arm_fir_lattice_q31, METH_VARARGS,""},
+{"arm_fir_lattice_init_f32",  cmsis_arm_fir_lattice_init_f32, METH_VARARGS,""},
+{"arm_fir_lattice_f32",  cmsis_arm_fir_lattice_f32, METH_VARARGS,""},
+{"arm_iir_lattice_f32",  cmsis_arm_iir_lattice_f32, METH_VARARGS,""},
+{"arm_iir_lattice_init_f32",  cmsis_arm_iir_lattice_init_f32, METH_VARARGS,""},
+{"arm_iir_lattice_q31",  cmsis_arm_iir_lattice_q31, METH_VARARGS,""},
+{"arm_iir_lattice_init_q31",  cmsis_arm_iir_lattice_init_q31, METH_VARARGS,""},
+{"arm_iir_lattice_q15",  cmsis_arm_iir_lattice_q15, METH_VARARGS,""},
+{"arm_iir_lattice_init_q15",  cmsis_arm_iir_lattice_init_q15, METH_VARARGS,""},
+{"arm_cfft_init_f32",  cmsis_arm_cfft_init_f32, METH_VARARGS,""},
+{"arm_cfft_init_q31",  cmsis_arm_cfft_init_q31, METH_VARARGS,""},
+{"arm_cfft_init_q15",  cmsis_arm_cfft_init_q15, METH_VARARGS,""},
+{"arm_lms_f32",  cmsis_arm_lms_f32, METH_VARARGS,""},
+{"arm_lms_init_f32",  cmsis_arm_lms_init_f32, METH_VARARGS,""},
+{"arm_lms_init_q15",  cmsis_arm_lms_init_q15, METH_VARARGS,""},
+{"arm_lms_q15",  cmsis_arm_lms_q15, METH_VARARGS,""},
+{"arm_lms_q31",  cmsis_arm_lms_q31, METH_VARARGS,""},
+{"arm_lms_init_q31",  cmsis_arm_lms_init_q31, METH_VARARGS,""},
+{"arm_lms_norm_f32",  cmsis_arm_lms_norm_f32, METH_VARARGS,""},
+{"arm_lms_norm_init_f32",  cmsis_arm_lms_norm_init_f32, METH_VARARGS,""},
+{"arm_lms_norm_q31",  cmsis_arm_lms_norm_q31, METH_VARARGS,""},
+{"arm_lms_norm_init_q31",  cmsis_arm_lms_norm_init_q31, METH_VARARGS,""},
+{"arm_lms_norm_q15",  cmsis_arm_lms_norm_q15, METH_VARARGS,""},
+{"arm_lms_norm_init_q15",  cmsis_arm_lms_norm_init_q15, METH_VARARGS,""},
+{"arm_correlate_f32",  cmsis_arm_correlate_f32, METH_VARARGS,""},
+{"arm_correlate_opt_q15",  cmsis_arm_correlate_opt_q15, METH_VARARGS,""},
+{"arm_correlate_q15",  cmsis_arm_correlate_q15, METH_VARARGS,""},
+{"arm_correlate_fast_q15",  cmsis_arm_correlate_fast_q15, METH_VARARGS,""},
+{"arm_correlate_fast_opt_q15",  cmsis_arm_correlate_fast_opt_q15, METH_VARARGS,""},
+{"arm_correlate_q31",  cmsis_arm_correlate_q31, METH_VARARGS,""},
+{"arm_correlate_fast_q31",  cmsis_arm_correlate_fast_q31, METH_VARARGS,""},
+{"arm_correlate_opt_q7",  cmsis_arm_correlate_opt_q7, METH_VARARGS,""},
+{"arm_correlate_q7",  cmsis_arm_correlate_q7, METH_VARARGS,""},
+{"arm_fir_sparse_f32",  cmsis_arm_fir_sparse_f32, METH_VARARGS,""},
+{"arm_fir_sparse_init_f32",  cmsis_arm_fir_sparse_init_f32, METH_VARARGS,""},
+{"arm_fir_sparse_init_q31",  cmsis_arm_fir_sparse_init_q31, METH_VARARGS,""},
+{"arm_fir_sparse_init_q15",  cmsis_arm_fir_sparse_init_q15, METH_VARARGS,""},
+{"arm_fir_sparse_init_q7",  cmsis_arm_fir_sparse_init_q7, METH_VARARGS,""},
+{"arm_sin_cos_f32",  cmsis_arm_sin_cos_f32, METH_VARARGS,""},
+{"arm_sin_cos_q31",  cmsis_arm_sin_cos_q31, METH_VARARGS,""},
+{"arm_cmplx_conj_f32",  cmsis_arm_cmplx_conj_f32, METH_VARARGS,""},
+{"arm_cmplx_conj_q31",  cmsis_arm_cmplx_conj_q31, METH_VARARGS,""},
+{"arm_cmplx_conj_q15",  cmsis_arm_cmplx_conj_q15, METH_VARARGS,""},
+{"arm_cmplx_mag_squared_f32",  cmsis_arm_cmplx_mag_squared_f32, METH_VARARGS,""},
+{"arm_cmplx_mag_squared_q31",  cmsis_arm_cmplx_mag_squared_q31, METH_VARARGS,""},
+{"arm_cmplx_mag_squared_q15",  cmsis_arm_cmplx_mag_squared_q15, METH_VARARGS,""},
+{"arm_pid_f32",  cmsis_arm_pid_f32, METH_VARARGS,""},
+{"arm_pid_q31",  cmsis_arm_pid_q31, METH_VARARGS,""},
+{"arm_pid_q15",  cmsis_arm_pid_q15, METH_VARARGS,""},
+{"arm_mat_inverse_f32",  cmsis_arm_mat_inverse_f32, METH_VARARGS,""},
+{"arm_mat_inverse_f64",  cmsis_arm_mat_inverse_f64, METH_VARARGS,""},
+{"arm_clarke_f32",  cmsis_arm_clarke_f32, METH_VARARGS,""},
+{"arm_clarke_q31",  cmsis_arm_clarke_q31, METH_VARARGS,""},
+{"arm_q7_to_q31",  cmsis_arm_q7_to_q31, METH_VARARGS,""},
+{"arm_inv_clarke_f32",  cmsis_arm_inv_clarke_f32, METH_VARARGS,""},
+{"arm_inv_clarke_q31",  cmsis_arm_inv_clarke_q31, METH_VARARGS,""},
+{"arm_q7_to_q15",  cmsis_arm_q7_to_q15, METH_VARARGS,""},
+{"arm_park_f32",  cmsis_arm_park_f32, METH_VARARGS,""},
+{"arm_park_q31",  cmsis_arm_park_q31, METH_VARARGS,""},
+{"arm_q7_to_float",  cmsis_arm_q7_to_float, METH_VARARGS,""},
+{"arm_inv_park_f32",  cmsis_arm_inv_park_f32, METH_VARARGS,""},
+{"arm_inv_park_q31",  cmsis_arm_inv_park_q31, METH_VARARGS,""},
+{"arm_q31_to_float",  cmsis_arm_q31_to_float, METH_VARARGS,""},
+{"arm_linear_interp_f32",  cmsis_arm_linear_interp_f32, METH_VARARGS,""},
+{"arm_linear_interp_q31",  cmsis_arm_linear_interp_q31, METH_VARARGS,""},
+{"arm_linear_interp_q15",  cmsis_arm_linear_interp_q15, METH_VARARGS,""},
+{"arm_linear_interp_q7",  cmsis_arm_linear_interp_q7, METH_VARARGS,""},
+{"arm_sin_f32",  cmsis_arm_sin_f32, METH_VARARGS,""},
+{"arm_sin_q31",  cmsis_arm_sin_q31, METH_VARARGS,""},
+{"arm_sin_q15",  cmsis_arm_sin_q15, METH_VARARGS,""},
+{"arm_cos_f32",  cmsis_arm_cos_f32, METH_VARARGS,""},
+{"arm_cos_q31",  cmsis_arm_cos_q31, METH_VARARGS,""},
+{"arm_cos_q15",  cmsis_arm_cos_q15, METH_VARARGS,""},
+{"arm_sqrt_f32",  cmsis_arm_sqrt_f32, METH_VARARGS,""},
+{"arm_sqrt_q31",  cmsis_arm_sqrt_q31, METH_VARARGS,""},
+{"arm_sqrt_q15",  cmsis_arm_sqrt_q15, METH_VARARGS,""},
+{"arm_circularWrite_f32",  cmsis_arm_circularWrite_f32, METH_VARARGS,""},
+{"arm_circularWrite_q15",  cmsis_arm_circularWrite_q15, METH_VARARGS,""},
+{"arm_circularWrite_q7",  cmsis_arm_circularWrite_q7, METH_VARARGS,""},
+{"arm_power_q31",  cmsis_arm_power_q31, METH_VARARGS,""},
+{"arm_power_f32",  cmsis_arm_power_f32, METH_VARARGS,""},
+{"arm_power_q15",  cmsis_arm_power_q15, METH_VARARGS,""},
+{"arm_power_q7",  cmsis_arm_power_q7, METH_VARARGS,""},
+{"arm_mean_q7",  cmsis_arm_mean_q7, METH_VARARGS,""},
+{"arm_mean_q15",  cmsis_arm_mean_q15, METH_VARARGS,""},
+{"arm_mean_q31",  cmsis_arm_mean_q31, METH_VARARGS,""},
+{"arm_mean_f32",  cmsis_arm_mean_f32, METH_VARARGS,""},
+{"arm_var_f32",  cmsis_arm_var_f32, METH_VARARGS,""},
+{"arm_var_q31",  cmsis_arm_var_q31, METH_VARARGS,""},
+{"arm_var_q15",  cmsis_arm_var_q15, METH_VARARGS,""},
+{"arm_rms_f32",  cmsis_arm_rms_f32, METH_VARARGS,""},
+{"arm_rms_q31",  cmsis_arm_rms_q31, METH_VARARGS,""},
+{"arm_rms_q15",  cmsis_arm_rms_q15, METH_VARARGS,""},
+{"arm_std_f32",  cmsis_arm_std_f32, METH_VARARGS,""},
+{"arm_std_q31",  cmsis_arm_std_q31, METH_VARARGS,""},
+{"arm_std_q15",  cmsis_arm_std_q15, METH_VARARGS,""},
+{"arm_cmplx_mag_f32",  cmsis_arm_cmplx_mag_f32, METH_VARARGS,""},
+{"arm_cmplx_mag_q31",  cmsis_arm_cmplx_mag_q31, METH_VARARGS,""},
+{"arm_cmplx_mag_q15",  cmsis_arm_cmplx_mag_q15, METH_VARARGS,""},
+{"arm_cmplx_dot_prod_q15",  cmsis_arm_cmplx_dot_prod_q15, METH_VARARGS,""},
+{"arm_cmplx_dot_prod_q31",  cmsis_arm_cmplx_dot_prod_q31, METH_VARARGS,""},
+{"arm_cmplx_dot_prod_f32",  cmsis_arm_cmplx_dot_prod_f32, METH_VARARGS,""},
+{"arm_cmplx_mult_real_q15",  cmsis_arm_cmplx_mult_real_q15, METH_VARARGS,""},
+{"arm_cmplx_mult_real_q31",  cmsis_arm_cmplx_mult_real_q31, METH_VARARGS,""},
+{"arm_cmplx_mult_real_f32",  cmsis_arm_cmplx_mult_real_f32, METH_VARARGS,""},
+{"arm_min_q7",  cmsis_arm_min_q7, METH_VARARGS,""},
+{"arm_min_q15",  cmsis_arm_min_q15, METH_VARARGS,""},
+{"arm_min_q31",  cmsis_arm_min_q31, METH_VARARGS,""},
+{"arm_min_f32",  cmsis_arm_min_f32, METH_VARARGS,""},
+{"arm_max_q7",  cmsis_arm_max_q7, METH_VARARGS,""},
+{"arm_max_q15",  cmsis_arm_max_q15, METH_VARARGS,""},
+{"arm_max_q31",  cmsis_arm_max_q31, METH_VARARGS,""},
+{"arm_max_f32",  cmsis_arm_max_f32, METH_VARARGS,""},
+{"arm_cmplx_mult_cmplx_q15",  cmsis_arm_cmplx_mult_cmplx_q15, METH_VARARGS,""},
+{"arm_cmplx_mult_cmplx_q31",  cmsis_arm_cmplx_mult_cmplx_q31, METH_VARARGS,""},
+{"arm_cmplx_mult_cmplx_f32",  cmsis_arm_cmplx_mult_cmplx_f32, METH_VARARGS,""},
+{"arm_float_to_q31",  cmsis_arm_float_to_q31, METH_VARARGS,""},
+{"arm_float_to_q15",  cmsis_arm_float_to_q15, METH_VARARGS,""},
+{"arm_float_to_q7",  cmsis_arm_float_to_q7, METH_VARARGS,""},
+{"arm_q31_to_q15",  cmsis_arm_q31_to_q15, METH_VARARGS,""},
+{"arm_q31_to_q7",  cmsis_arm_q31_to_q7, METH_VARARGS,""},
+{"arm_q15_to_float",  cmsis_arm_q15_to_float, METH_VARARGS,""},
+{"arm_q15_to_q31",  cmsis_arm_q15_to_q31, METH_VARARGS,""},
+{"arm_q15_to_q7",  cmsis_arm_q15_to_q7, METH_VARARGS,""},
+{"arm_bilinear_interp_f32",  cmsis_arm_bilinear_interp_f32, METH_VARARGS,""},
+{"arm_bilinear_interp_q31",  cmsis_arm_bilinear_interp_q31, METH_VARARGS,""},
+{"arm_bilinear_interp_q15",  cmsis_arm_bilinear_interp_q15, METH_VARARGS,""},
+{"arm_bilinear_interp_q7",  cmsis_arm_bilinear_interp_q7, METH_VARARGS,""},
+
+    {"error_out", (PyCFunction)error_out, METH_NOARGS, NULL},
+    {NULL, NULL, 0, NULL}        /* Sentinel */
+};
+
diff --git a/Drivers/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/fftinit.c b/Drivers/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/fftinit.c
new file mode 100644
index 0000000..37e4e0a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/PythonWrapper/cmsisdsp_pkg/src/fftinit.c
@@ -0,0 +1,262 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Python Wrapper
+ * Title:        fftinit.c
+ * Description:  FFT init functions for the Python wrapper
+ *
+ * $Date:        25. March 2019
+ * $Revision:    V0.0.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+#include "arm_math.h"
+#include "arm_common_tables.h"
+#include "arm_const_structs.h"
+
+#define FFTINIT(SIZE)                                           \
+  S->bitRevLength = arm_cfft_sR_f32_len##SIZE.bitRevLength;        \
+  S->pBitRevTable = arm_cfft_sR_f32_len##SIZE.pBitRevTable;         \
+  S->pTwiddle = arm_cfft_sR_f32_len##SIZE.pTwiddle;
+
+#define FFTFXTINIT(EXT,SIZE)                                           \
+  S->bitRevLength = arm_cfft_sR_##EXT##_len##SIZE.bitRevLength;        \
+  S->pBitRevTable = arm_cfft_sR_##EXT##_len##SIZE.pBitRevTable;         \
+  S->pTwiddle = arm_cfft_sR_##EXT##_len##SIZE.pTwiddle;
+
+arm_status arm_cfft_init_f32(
+  arm_cfft_instance_f32 * S,
+  uint16_t fftLen)
+{
+        /*  Initialise the default arm status */                                
+        arm_status status = ARM_MATH_SUCCESS;                                   
+                                                                                
+        /*  Initialise the FFT length */                                        
+        S->fftLen = fftLen;          
+                                                                                
+        /*  Initialise the Twiddle coefficient pointer */                       
+        S->pTwiddle = (float32_t *)twiddleCoef_4096;                         
+                                                                                
+                                                                                
+        /*  Initializations of Instance structure depending on the FFT length */
+        switch (S->fftLen) {                                                    
+            /*  Initializations of structure parameters for 4096 point FFT */   
+        case 4096U:                                                             
+            /*  Initialise the bit reversal table modifier */                   
+            FFTINIT(4096);      
+            break;                                                              
+                                                                                
+            /*  Initializations of structure parameters for 2048 point FFT */   
+        case 2048U:                                                             
+            /*  Initialise the bit reversal table modifier */                   
+            FFTINIT(2048);                 
+                                                                            
+            break;                                                              
+                                                                                
+            /*  Initializations of structure parameters for 1024 point FFT */   
+        case 1024U:                                                             
+            /*  Initialise the bit reversal table modifier */                   
+            FFTINIT(1024);                 
+                                                                         
+            break;                                                              
+                                                                                
+            /*  Initializations of structure parameters for 512 point FFT */    
+        case 512U:                                                              
+            /*  Initialise the bit reversal table modifier */                   
+            FFTINIT(512);                                                                                   
+            break;                                                              
+                                                                                
+        case 256U:                                                              
+            FFTINIT(256);                                                                                  
+            break;                                                              
+                                                                                
+        case 128U:                                                              
+            FFTINIT(128);                                                                                  
+            break;                                                              
+                                                                                
+        case 64U:                                                               
+            FFTINIT(64);                                                                               
+            break;                                                              
+                                                                                
+        case 32U:                                                               
+            FFTINIT(32);                                                                                
+            break;                                                              
+                                                                                
+        case 16U:                                                               
+            /*  Initializations of structure parameters for 16 point FFT */     
+            FFTINIT(16);   
+            break;                                                              
+                                                                                
+                                                                                
+        default:                                                                
+            /*  Reporting argument error if fftSize is not valid value */       
+            status = ARM_MATH_ARGUMENT_ERROR;                                   
+            break;                                                              
+        }                                                                       
+                                                                                
+                                                                                
+        return (status);    
+}
+
+arm_status arm_cfft_init_q31(
+  arm_cfft_instance_q31 * S,
+  uint16_t fftLen)
+{
+        /*  Initialise the default arm status */                                
+        arm_status status = ARM_MATH_SUCCESS;                                   
+                                                                                
+        /*  Initialise the FFT length */                                        
+        S->fftLen = fftLen;          
+                                                                                
+        /*  Initialise the Twiddle coefficient pointer */                       
+        S->pTwiddle = (float32_t *)twiddleCoef_4096;                         
+                                                                                
+                                                                                
+        /*  Initializations of Instance structure depending on the FFT length */
+        switch (S->fftLen) {                                                    
+            /*  Initializations of structure parameters for 4096 point FFT */   
+        case 4096U:                                                             
+            /*  Initialise the bit reversal table modifier */                   
+            FFTFXTINIT(q31,4096);      
+            break;                                                              
+                                                                                
+            /*  Initializations of structure parameters for 2048 point FFT */   
+        case 2048U:                                                             
+            /*  Initialise the bit reversal table modifier */                   
+             FFTFXTINIT(q31,2048);                 
+                                                                            
+            break;                                                              
+                                                                                
+            /*  Initializations of structure parameters for 1024 point FFT */   
+        case 1024U:                                                             
+            /*  Initialise the bit reversal table modifier */                   
+             FFTFXTINIT(q31,1024);                 
+                                                                         
+            break;                                                              
+                                                                                
+            /*  Initializations of structure parameters for 512 point FFT */    
+        case 512U:                                                              
+            /*  Initialise the bit reversal table modifier */                   
+             FFTFXTINIT(q31,512);                                                                                   
+            break;                                                              
+                                                                                
+        case 256U:                                                              
+             FFTFXTINIT(q31,256);                                                                                  
+            break;                                                              
+                                                                                
+        case 128U:                                                              
+             FFTFXTINIT(q31,128);                                                                                  
+            break;                                                              
+                                                                                
+        case 64U:                                                               
+             FFTFXTINIT(q31,64);                                                                               
+            break;                                                              
+                                                                                
+        case 32U:                                                               
+             FFTFXTINIT(q31,32);                                                                                
+            break;                                                              
+                                                                                
+        case 16U:                                                               
+            /*  Initializations of structure parameters for 16 point FFT */     
+             FFTFXTINIT(q31,16);   
+            break;                                                              
+                                                                                
+                                                                                
+        default:                                                                
+            /*  Reporting argument error if fftSize is not valid value */       
+            status = ARM_MATH_ARGUMENT_ERROR;                                   
+            break;                                                              
+        }                                                                       
+                                                                                
+                                                                                
+        return (status);    
+}
+
+arm_status arm_cfft_init_q15(
+  arm_cfft_instance_q15 * S,
+  uint16_t fftLen)
+{
+        /*  Initialise the default arm status */                                
+        arm_status status = ARM_MATH_SUCCESS;                                   
+                                                                                
+        /*  Initialise the FFT length */                                        
+        S->fftLen = fftLen;          
+                                                                                
+        /*  Initialise the Twiddle coefficient pointer */                       
+        S->pTwiddle = (float32_t *)twiddleCoef_4096;                         
+                                                                                
+                                                                                
+        /*  Initializations of Instance structure depending on the FFT length */
+        switch (S->fftLen) {                                                    
+            /*  Initializations of structure parameters for 4096 point FFT */   
+        case 4096U:                                                             
+            /*  Initialise the bit reversal table modifier */                   
+            FFTFXTINIT(q15,4096);      
+            break;                                                              
+                                                                                
+            /*  Initializations of structure parameters for 2048 point FFT */   
+        case 2048U:                                                             
+            /*  Initialise the bit reversal table modifier */                   
+             FFTFXTINIT(q15,2048);                 
+                                                                            
+            break;                                                              
+                                                                                
+            /*  Initializations of structure parameters for 1024 point FFT */   
+        case 1024U:                                                             
+            /*  Initialise the bit reversal table modifier */                   
+             FFTFXTINIT(q15,1024);                 
+                                                                         
+            break;                                                              
+                                                                                
+            /*  Initializations of structure parameters for 512 point FFT */    
+        case 512U:                                                              
+            /*  Initialise the bit reversal table modifier */                   
+            FFTFXTINIT(q15,512);                                                                                   
+            break;                                                              
+                                                                                
+        case 256U:                                                              
+            FFTFXTINIT(q15,256);                                                                                  
+            break;                                                              
+                                                                                
+        case 128U:                                                              
+            FFTFXTINIT(q15,128);                                                                                  
+            break;                                                              
+                                                                                
+        case 64U:                                                               
+            FFTFXTINIT(q15,64);                                                                               
+            break;                                                              
+                                                                                
+        case 32U:                                                               
+            FFTFXTINIT(q15,32);                                                                                
+            break;                                                              
+                                                                                
+        case 16U:                                                               
+            /*  Initializations of structure parameters for 16 point FFT */     
+            FFTFXTINIT(q15,16);   
+            break;                                                              
+                                                                                
+                                                                                
+        default:                                                                
+            /*  Reporting argument error if fftSize is not valid value */       
+            status = ARM_MATH_ARGUMENT_ERROR;                                   
+            break;                                                              
+        }                                                                       
+                                                                                
+                                                                                
+        return (status);    
+}
+\ No newline at end of file
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctions.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctions.c
new file mode 100644
index 0000000..4d9f60a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/BasicMathFunctions.c
@@ -0,0 +1,63 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        BasicMathFunctions.c
+ * Description:  Combination of all basic math function source files.
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_abs_f32.c"
+#include "arm_abs_q15.c"
+#include "arm_abs_q31.c"
+#include "arm_abs_q7.c"
+#include "arm_add_f32.c"
+#include "arm_add_q15.c"
+#include "arm_add_q31.c"
+#include "arm_add_q7.c"
+#include "arm_dot_prod_f32.c"
+#include "arm_dot_prod_q15.c"
+#include "arm_dot_prod_q31.c"
+#include "arm_dot_prod_q7.c"
+#include "arm_mult_f32.c"
+#include "arm_mult_q15.c"
+#include "arm_mult_q31.c"
+#include "arm_mult_q7.c"
+#include "arm_negate_f32.c"
+#include "arm_negate_q15.c"
+#include "arm_negate_q31.c"
+#include "arm_negate_q7.c"
+#include "arm_offset_f32.c"
+#include "arm_offset_q15.c"
+#include "arm_offset_q31.c"
+#include "arm_offset_q7.c"
+#include "arm_scale_f32.c"
+#include "arm_scale_q15.c"
+#include "arm_scale_q31.c"
+#include "arm_scale_q7.c"
+#include "arm_shift_q15.c"
+#include "arm_shift_q31.c"
+#include "arm_shift_q7.c"
+#include "arm_sub_f32.c"
+#include "arm_sub_q15.c"
+#include "arm_sub_q31.c"
+#include "arm_sub_q7.c"
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/CMakeLists.txt
new file mode 100644
index 0000000..fdf2db2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/CMakeLists.txt
@@ -0,0 +1,16 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPBasicMath)
+
+
+file(GLOB SRC "./*_*.c")
+
+add_library(CMSISDSPBasicMath STATIC ${SRC})
+
+configdsp(CMSISDSPBasicMath ..)
+
+### Includes
+target_include_directories(CMSISDSPBasicMath PUBLIC "${DSP}/../../Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c
new file mode 100644
index 0000000..60db141
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c
@@ -0,0 +1,146 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_abs_f32.c
+ * Description:  Floating-point vector absolute value
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include <math.h>
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @defgroup BasicAbs Vector Absolute Value
+
+  Computes the absolute value of a vector on an element-by-element basis.
+
+  <pre>
+      pDst[n] = abs(pSrc[n]),   0 <= n < blockSize.
+  </pre>
+
+  The functions support in-place computation allowing the source and
+  destination pointers to reference the same memory buffer.
+  There are separate functions for floating-point, Q7, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup BasicAbs
+  @{
+ */
+
+/**
+  @brief         Floating-point vector absolute value.
+  @param[in]     pSrc       points to the input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+void arm_abs_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined(ARM_MATH_NEON)
+    float32x4_t vec1;
+    float32x4_t res;
+
+    /* Compute 4 outputs at a time */
+    blkCnt = blockSize >> 2U;
+
+    while (blkCnt > 0U)
+    {
+        /* C = |A| */
+
+    	/* Calculate absolute values and then store the results in the destination buffer. */
+        vec1 = vld1q_f32(pSrc);
+        res = vabsq_f32(vec1);
+        vst1q_f32(pDst, res);
+
+        /* Increment pointers */
+        pSrc += 4;
+        pDst += 4;
+        
+        /* Decrement the loop counter */
+        blkCnt--;
+    }
+
+    /* Tail */
+    blkCnt = blockSize & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = |A| */
+
+    /* Calculate absolute and store result in destination buffer. */
+    *pDst++ = fabsf(*pSrc++);
+
+    *pDst++ = fabsf(*pSrc++);
+
+    *pDst++ = fabsf(*pSrc++);
+
+    *pDst++ = fabsf(*pSrc++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = |A| */
+
+    /* Calculate absolute and store result in destination buffer. */
+    *pDst++ = fabsf(*pSrc++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicAbs group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c
new file mode 100644
index 0000000..9aff180
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c
@@ -0,0 +1,132 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_abs_q15.c
+ * Description:  Q15 vector absolute value
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicAbs
+  @{
+ */
+
+/**
+  @brief         Q15 vector absolute value.
+  @param[in]     pSrc       points to the input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF.
+ */
+
+void arm_abs_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q15_t in;                                      /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = |A| */
+
+    /* Calculate absolute of input (if -1 then saturated to 0x7fff) and store result in destination buffer. */
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in);
+#endif
+
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in);
+#endif
+
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in);
+#endif
+
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = |A| */
+
+    /* Calculate absolute of input (if -1 then saturated to 0x7fff) and store result in destination buffer. */
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q15_t)__QSUB16(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicAbs group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c
new file mode 100644
index 0000000..e9d027a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c
@@ -0,0 +1,132 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_abs_q31.c
+ * Description:  Q31 vector absolute value
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicAbs
+  @{
+ */
+
+/**
+  @brief         Q31 vector absolute value.
+  @param[in]     pSrc       points to the input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF.
+ */
+
+void arm_abs_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t in;                                      /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = |A| */
+
+    /* Calculate absolute of input (if -1 then saturated to 0x7fffffff) and store result in destination buffer. */
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in);
+#endif
+
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in);
+#endif
+
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in);
+#endif
+
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = |A| */
+
+    /* Calculate absolute of input (if -1 then saturated to 0x7fffffff) and store result in destination buffer. */
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q31_t)__QSUB(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicAbs group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c
new file mode 100644
index 0000000..060b967
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_abs_q7.c
+ * Description:  Q7 vector absolute value
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicAbs
+  @{
+ */
+
+/**
+  @brief         Q7 vector absolute value.
+  @param[in]     pSrc       points to the input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Conditions for optimum performance
+                   Input and output buffers should be aligned by 32-bit
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F.
+ */
+
+void arm_abs_q7(
+  const q7_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q7_t in;                                       /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = |A| */
+
+    /* Calculate absolute of input (if -1 then saturated to 0x7f) and store result in destination buffer. */
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q7_t)__QSUB(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in);
+#endif
+
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q7_t)__QSUB(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in);
+#endif
+
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q7_t)__QSUB(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in);
+#endif
+
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q7_t)__QSUB(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = |A| */
+
+    /* Calculate absolute of input (if -1 then saturated to 0x7f) and store result in destination buffer. */
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (in > 0) ? in : (q7_t) __QSUB(0, in);
+#else
+    *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? (q7_t) 0x7f : -in);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicAbs group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c
new file mode 100644
index 0000000..8a485fa
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c
@@ -0,0 +1,145 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_add_f32.c
+ * Description:  Floating-point vector addition
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @defgroup BasicAdd Vector Addition
+
+  Element-by-element addition of two vectors.
+
+  <pre>
+      pDst[n] = pSrcA[n] + pSrcB[n],   0 <= n < blockSize.
+  </pre>
+
+  There are separate functions for floating-point, Q7, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup BasicAdd
+  @{
+ */
+
+/**
+  @brief         Floating-point vector addition.
+  @param[in]     pSrcA      points to first input vector
+  @param[in]     pSrcB      points to second input vector
+  @param[out]    pDst       points to output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+void arm_add_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined(ARM_MATH_NEON)
+    float32x4_t vec1;
+    float32x4_t vec2;
+    float32x4_t res;
+
+    /* Compute 4 outputs at a time */
+    blkCnt = blockSize >> 2U;
+
+    while (blkCnt > 0U)
+    {
+        /* C = A + B */
+
+    	/* Add and then store the results in the destination buffer. */
+        vec1 = vld1q_f32(pSrcA);
+        vec2 = vld1q_f32(pSrcB);
+        res = vaddq_f32(vec1, vec2);
+        vst1q_f32(pDst, res);
+
+        /* Increment pointers */
+        pSrcA += 4;
+        pSrcB += 4; 
+        pDst += 4;
+        
+        /* Decrement the loop counter */
+        blkCnt--;
+    }
+
+    /* Tail */
+    blkCnt = blockSize & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + B */
+
+    /* Add and store result in destination buffer. */
+    *pDst++ = (*pSrcA++) + (*pSrcB++);
+    *pDst++ = (*pSrcA++) + (*pSrcB++);
+    *pDst++ = (*pSrcA++) + (*pSrcB++);
+    *pDst++ = (*pSrcA++) + (*pSrcB++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + B */
+
+    /* Add and store result in destination buffer. */
+    *pDst++ = (*pSrcA++) + (*pSrcB++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicAdd group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c
new file mode 100644
index 0000000..1363b76
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c
@@ -0,0 +1,126 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_add_q15.c
+ * Description:  Q15 vector addition
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicAdd
+  @{
+ */
+
+/**
+  @brief         Q15 vector addition.
+  @param[in]     pSrcA      points to the first input vector
+  @param[in]     pSrcB      points to the second input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+
+void arm_add_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+  q31_t inA1, inA2;
+  q31_t inB1, inB2;
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + B */
+
+#if defined (ARM_MATH_DSP)
+    /* read 2 times 2 samples at a time from sourceA */
+    inA1 = read_q15x2_ia ((q15_t **) &pSrcA);
+    inA2 = read_q15x2_ia ((q15_t **) &pSrcA);
+    /* read 2 times 2 samples at a time from sourceB */
+    inB1 = read_q15x2_ia ((q15_t **) &pSrcB);
+    inB2 = read_q15x2_ia ((q15_t **) &pSrcB);
+
+    /* Add and store 2 times 2 samples at a time */
+    write_q15x2_ia (&pDst, __QADD16(inA1, inB1));
+    write_q15x2_ia (&pDst, __QADD16(inA2, inB2));
+#else
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16);
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16);
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16);
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + B */
+
+    /* Add and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (q15_t) __QADD16(*pSrcA++, *pSrcB++);
+#else
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ + *pSrcB++), 16);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicAdd group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c
new file mode 100644
index 0000000..2f8226d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c
@@ -0,0 +1,108 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_add_q31.c
+ * Description:  Q31 vector addition
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicAdd
+  @{
+ */
+
+/**
+  @brief         Q31 vector addition.
+  @param[in]     pSrcA      points to the first input vector
+  @param[in]     pSrcB      points to the second input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+void arm_add_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + B */
+
+    /* Add and store result in destination buffer. */
+    *pDst++ = __QADD(*pSrcA++, *pSrcB++);
+
+    *pDst++ = __QADD(*pSrcA++, *pSrcB++);
+
+    *pDst++ = __QADD(*pSrcA++, *pSrcB++);
+
+    *pDst++ = __QADD(*pSrcA++, *pSrcB++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + B */
+
+    /* Add and store result in destination buffer. */
+    *pDst++ = __QADD(*pSrcA++, *pSrcB++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicAdd group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c
new file mode 100644
index 0000000..ac57c35
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c
@@ -0,0 +1,109 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_add_q7.c
+ * Description:  Q7 vector addition
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicAdd
+  @{
+ */
+
+/**
+  @brief         Q7 vector addition.
+  @param[in]     pSrcA      points to the first input vector
+  @param[in]     pSrcB      points to the second input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q7 range [0x80 0x7F] are saturated.
+ */
+
+void arm_add_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + B */
+
+#if defined (ARM_MATH_DSP)
+    /* Add and store result in destination buffer (4 samples at a time). */
+    write_q7x4_ia (&pDst, __QADD8 (read_q7x4_ia ((q7_t **) &pSrcA), read_q7x4_ia ((q7_t **) &pSrcB)));
+#else
+    *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8);
+    *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8);
+    *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8);
+    *pDst++ = (q7_t) __SSAT ((q15_t) *pSrcA++ + *pSrcB++, 8);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + B */
+
+    /* Add and store result in destination buffer. */
+    *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ + *pSrcB++, 8);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicAdd group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c
new file mode 100644
index 0000000..41ec12e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c
@@ -0,0 +1,163 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_dot_prod_f32.c
+ * Description:  Floating-point dot product
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @defgroup BasicDotProd Vector Dot Product
+
+  Computes the dot product of two vectors.
+  The vectors are multiplied element-by-element and then summed.
+
+  <pre>
+      sum = pSrcA[0]*pSrcB[0] + pSrcA[1]*pSrcB[1] + ... + pSrcA[blockSize-1]*pSrcB[blockSize-1]
+  </pre>
+
+  There are separate functions for floating-point, Q7, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup BasicDotProd
+  @{
+ */
+
+/**
+  @brief         Dot product of floating-point vectors.
+  @param[in]     pSrcA      points to the first input vector.
+  @param[in]     pSrcB      points to the second input vector.
+  @param[in]     blockSize  number of samples in each vector.
+  @param[out]    result     output result returned here.
+  @return        none
+ */
+
+void arm_dot_prod_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        uint32_t blockSize,
+        float32_t * result)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        float32_t sum = 0.0f;                          /* Temporary return variable */
+
+#if defined(ARM_MATH_NEON)
+    float32x4_t vec1;
+    float32x4_t vec2;
+    float32x4_t res;
+    float32x4_t accum = vdupq_n_f32(0);    
+
+    /* Compute 4 outputs at a time */
+    blkCnt = blockSize >> 2U;
+
+    vec1 = vld1q_f32(pSrcA);
+    vec2 = vld1q_f32(pSrcB);
+
+    while (blkCnt > 0U)
+    {
+        /* C = A[0]*B[0] + A[1]*B[1] + A[2]*B[2] + ... + A[blockSize-1]*B[blockSize-1] */
+        /* Calculate dot product and then store the result in a temporary buffer. */
+        
+	accum = vmlaq_f32(accum, vec1, vec2);
+	
+        /* Increment pointers */
+        pSrcA += 4;
+        pSrcB += 4; 
+
+        vec1 = vld1q_f32(pSrcA);
+        vec2 = vld1q_f32(pSrcB);
+        
+        /* Decrement the loop counter */
+        blkCnt--;
+    }
+    
+#if __aarch64__
+    sum = vpadds_f32(vpadd_f32(vget_low_f32(accum), vget_high_f32(accum)));
+#else
+    sum = (vpadd_f32(vget_low_f32(accum), vget_high_f32(accum)))[0] + (vpadd_f32(vget_low_f32(accum), vget_high_f32(accum)))[1];
+#endif    
+
+    /* Tail */
+    blkCnt = blockSize & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  /* First part of the processing with loop unrolling. Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+
+    /* Calculate dot product and store result in a temporary buffer. */
+    sum += (*pSrcA++) * (*pSrcB++);
+
+    sum += (*pSrcA++) * (*pSrcB++);
+
+    sum += (*pSrcA++) * (*pSrcB++);
+
+    sum += (*pSrcA++) * (*pSrcB++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+
+    /* Calculate dot product and store result in a temporary buffer. */
+    sum += (*pSrcA++) * (*pSrcB++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store result in destination buffer */
+  *result = sum;
+}
+
+/**
+  @} end of BasicDotProd group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c
new file mode 100644
index 0000000..2fa30fc
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c
@@ -0,0 +1,120 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_dot_prod_q15.c
+ * Description:  Q15 dot product
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicDotProd
+  @{
+ */
+
+/**
+  @brief         Dot product of Q15 vectors.
+  @param[in]     pSrcA      points to the first input vector
+  @param[in]     pSrcB      points to the second input vector
+  @param[in]     blockSize  number of samples in each vector
+  @param[out]    result     output result returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The intermediate multiplications are in 1.15 x 1.15 = 2.30 format and these
+                   results are added to a 64-bit accumulator in 34.30 format.
+                   Nonsaturating additions are used and given that there are 33 guard bits in the accumulator
+                   there is no risk of overflow.
+                   The return result is in 34.30 format.
+ */
+
+void arm_dot_prod_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        uint32_t blockSize,
+        q63_t * result)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q63_t sum = 0;                                 /* Temporary return variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+
+#if defined (ARM_MATH_DSP)
+    /* Calculate dot product and store result in a temporary buffer. */
+    sum = __SMLALD(read_q15x2_ia ((q15_t **) &pSrcA), read_q15x2_ia ((q15_t **) &pSrcB), sum);
+    sum = __SMLALD(read_q15x2_ia ((q15_t **) &pSrcA), read_q15x2_ia ((q15_t **) &pSrcB), sum);
+#else
+    sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++);
+    sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++);
+    sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++);
+    sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+
+    /* Calculate dot product and store result in a temporary buffer. */
+//#if defined (ARM_MATH_DSP)
+//    sum  = __SMLALD(*pSrcA++, *pSrcB++, sum);
+//#else
+    sum += (q63_t)((q31_t) *pSrcA++ * *pSrcB++);
+//#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store result in destination buffer in 34.30 format */
+  *result = sum;
+}
+
+/**
+  @} end of BasicDotProd group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c
new file mode 100644
index 0000000..954e0bd
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c
@@ -0,0 +1,115 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_dot_prod_q31.c
+ * Description:  Q31 dot product
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicDotProd
+  @{
+ */
+
+/**
+  @brief         Dot product of Q31 vectors.
+  @param[in]     pSrcA      points to the first input vector.
+  @param[in]     pSrcB      points to the second input vector.
+  @param[in]     blockSize  number of samples in each vector.
+  @param[out]    result     output result returned here.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The intermediate multiplications are in 1.31 x 1.31 = 2.62 format and these
+                   are truncated to 2.48 format by discarding the lower 14 bits.
+                   The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format.
+                   There are 15 guard bits in the accumulator and there is no risk of overflow as long as
+                   the length of the vectors is less than 2^16 elements.
+                   The return result is in 16.48 format.
+ */
+
+void arm_dot_prod_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        uint32_t blockSize,
+        q63_t * result)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q63_t sum = 0;                                 /* Temporary return variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+
+    /* Calculate dot product and store result in a temporary buffer. */
+    sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U;
+
+    sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U;
+
+    sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U;
+
+    sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+
+    /* Calculate dot product and store result in a temporary buffer. */
+    sum += ((q63_t) *pSrcA++ * *pSrcB++) >> 14U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store result in destination buffer in 16.48 format */
+  *result = sum;
+}
+
+/**
+  @} end of BasicDotProd group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c
new file mode 100644
index 0000000..e8ba22b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c
@@ -0,0 +1,139 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_dot_prod_q7.c
+ * Description:  Q7 dot product
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicDotProd
+  @{
+ */
+
+/**
+  @brief         Dot product of Q7 vectors.
+  @param[in]     pSrcA      points to the first input vector
+  @param[in]     pSrcB      points to the second input vector
+  @param[in]     blockSize  number of samples in each vector
+  @param[out]    result     output result returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The intermediate multiplications are in 1.7 x 1.7 = 2.14 format and these
+                   results are added to an accumulator in 18.14 format.
+                   Nonsaturating additions are used and there is no danger of wrap around as long as
+                   the vectors are less than 2^18 elements long.
+                   The return result is in 18.14 format.
+ */
+
+void arm_dot_prod_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        uint32_t blockSize,
+        q31_t * result)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t sum = 0;                                 /* Temporary return variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+  q31_t input1, input2;                          /* Temporary variables */
+  q31_t inA1, inA2, inB1, inB2;                  /* Temporary variables */
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+
+#if defined (ARM_MATH_DSP)
+    /* read 4 samples at a time from sourceA */
+    input1 = read_q7x4_ia ((q7_t **) &pSrcA);
+    /* read 4 samples at a time from sourceB */
+    input2 = read_q7x4_ia ((q7_t **) &pSrcB);
+
+    /* extract two q7_t samples to q15_t samples */
+    inA1 = __SXTB16(__ROR(input1, 8));
+    /* extract reminaing two samples */
+    inA2 = __SXTB16(input1);
+    /* extract two q7_t samples to q15_t samples */
+    inB1 = __SXTB16(__ROR(input2, 8));
+    /* extract reminaing two samples */
+    inB2 = __SXTB16(input2);
+
+    /* multiply and accumulate two samples at a time */
+    sum = __SMLAD(inA1, inB1, sum);
+    sum = __SMLAD(inA2, inB2, sum);
+#else
+    sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++);
+    sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++);
+    sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++);
+    sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */
+
+    /* Calculate dot product and store result in a temporary buffer. */
+//#if defined (ARM_MATH_DSP)
+//    sum  = __SMLAD(*pSrcA++, *pSrcB++, sum);
+//#else
+    sum += (q31_t) ((q15_t) *pSrcA++ * *pSrcB++);
+//#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store result in destination buffer in 18.14 format */
+  *result = sum;
+}
+
+/**
+  @} end of BasicDotProd group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c
new file mode 100644
index 0000000..5a35b00
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c
@@ -0,0 +1,148 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mult_f32.c
+ * Description:  Floating-point vector multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @defgroup BasicMult Vector Multiplication
+
+  Element-by-element multiplication of two vectors.
+
+  <pre>
+      pDst[n] = pSrcA[n] * pSrcB[n],   0 <= n < blockSize.
+  </pre>
+
+  There are separate functions for floating-point, Q7, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup BasicMult
+  @{
+ */
+
+/**
+  @brief         Floating-point vector multiplication.
+  @param[in]     pSrcA      points to the first input vector.
+  @param[in]     pSrcB      points to the second input vector.
+  @param[out]    pDst       points to the output vector.
+  @param[in]     blockSize  number of samples in each vector.
+  @return        none
+ */
+
+void arm_mult_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+    uint32_t blkCnt;                               /* Loop counter */
+
+#if defined(ARM_MATH_NEON)
+    float32x4_t vec1;
+    float32x4_t vec2;
+    float32x4_t res;
+
+    /* Compute 4 outputs at a time */
+    blkCnt = blockSize >> 2U;
+
+    while (blkCnt > 0U)
+    {
+        /* C = A * B */
+
+    	/* Multiply the inputs and then store the results in the destination buffer. */
+        vec1 = vld1q_f32(pSrcA);
+        vec2 = vld1q_f32(pSrcB);
+        res = vmulq_f32(vec1, vec2);
+        vst1q_f32(pDst, res);
+
+        /* Increment pointers */
+        pSrcA += 4;
+        pSrcB += 4; 
+        pDst += 4;
+        
+        /* Decrement the loop counter */
+        blkCnt--;
+    }
+
+    /* Tail */
+    blkCnt = blockSize & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * B */
+
+    /* Multiply inputs and store result in destination buffer. */
+    *pDst++ = (*pSrcA++) * (*pSrcB++);
+
+    *pDst++ = (*pSrcA++) * (*pSrcB++);
+
+    *pDst++ = (*pSrcA++) * (*pSrcB++);
+
+    *pDst++ = (*pSrcA++) * (*pSrcB++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * B */
+
+    /* Multiply input and store result in destination buffer. */
+    *pDst++ = (*pSrcA++) * (*pSrcB++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c
new file mode 100644
index 0000000..270dc73
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c
@@ -0,0 +1,143 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mult_q15.c
+ * Description:  Q15 vector multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicMult
+  @{
+ */
+
+/**
+  @brief         Q15 vector multiplication
+  @param[in]     pSrcA      points to first input vector
+  @param[in]     pSrcB      points to second input vector
+  @param[out]    pDst       points to output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+
+void arm_mult_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+  q31_t inA1, inA2, inB1, inB2;                  /* Temporary input variables */
+  q15_t out1, out2, out3, out4;                  /* Temporary output variables */
+  q31_t mul1, mul2, mul3, mul4;                  /* Temporary variables */
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * B */
+
+#if defined (ARM_MATH_DSP)
+    /* read 2 samples at a time from sourceA */
+    inA1 = read_q15x2_ia ((q15_t **) &pSrcA);
+    /* read 2 samples at a time from sourceB */
+    inB1 = read_q15x2_ia ((q15_t **) &pSrcB);
+    /* read 2 samples at a time from sourceA */
+    inA2 = read_q15x2_ia ((q15_t **) &pSrcA);
+    /* read 2 samples at a time from sourceB */
+    inB2 = read_q15x2_ia ((q15_t **) &pSrcB);
+
+    /* multiply mul = sourceA * sourceB */
+    mul1 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+    mul2 = (q31_t) ((q15_t) (inA1      ) * (q15_t) (inB1      ));
+    mul3 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB2 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2      ) * (q15_t) (inB2      ));
+
+    /* saturate result to 16 bit */
+    out1 = (q15_t) __SSAT(mul1 >> 15, 16);
+    out2 = (q15_t) __SSAT(mul2 >> 15, 16);
+    out3 = (q15_t) __SSAT(mul3 >> 15, 16);
+    out4 = (q15_t) __SSAT(mul4 >> 15, 16);
+
+    /* store result to destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+    write_q15x2_ia (&pDst, __PKHBT(out2, out1, 16));
+    write_q15x2_ia (&pDst, __PKHBT(out4, out3, 16));
+#else
+    write_q15x2_ia (&pDst, __PKHBT(out1, out2, 16));
+    write_q15x2_ia (&pDst, __PKHBT(out3, out4, 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+#else
+    *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16);
+    *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16);
+    *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16);
+    *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * B */
+
+    /* Multiply inputs and store result in destination buffer. */
+    *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c
new file mode 100644
index 0000000..b6660de
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c
@@ -0,0 +1,119 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mult_q31.c
+ * Description:  Q31 vector multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicMult
+  @{
+ */
+
+/**
+  @brief         Q31 vector multiplication.
+  @param[in]     pSrcA      points to the first input vector.
+  @param[in]     pSrcB      points to the second input vector.
+  @param[out]    pDst       points to the output vector.
+  @param[in]     blockSize  number of samples in each vector.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+void arm_mult_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t out;                                     /* Temporary output variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * B */
+
+    /* Multiply inputs and store result in destination buffer. */
+    out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32;
+    out = __SSAT(out, 31);
+    *pDst++ = out << 1U;
+
+    out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32;
+    out = __SSAT(out, 31);
+    *pDst++ = out << 1U;
+
+    out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32;
+    out = __SSAT(out, 31);
+    *pDst++ = out << 1U;
+
+    out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32;
+    out = __SSAT(out, 31);
+    *pDst++ = out << 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * B */
+
+    /* Multiply inputs and store result in destination buffer. */
+    out = ((q63_t) *pSrcA++ * *pSrcB++) >> 32;
+    out = __SSAT(out, 31);
+    *pDst++ = out << 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c
new file mode 100644
index 0000000..b50c109
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c
@@ -0,0 +1,119 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mult_q7.c
+ * Description:  Q7 vector multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicMult
+  @{
+ */
+
+/**
+  @brief         Q7 vector multiplication
+  @param[in]     pSrcA      points to the first input vector
+  @param[in]     pSrcB      points to the second input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q7 range [0x80 0x7F] are saturated.
+ */
+
+void arm_mult_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+  q7_t out1, out2, out3, out4;                   /* Temporary output variables */
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * B */
+
+#if defined (ARM_MATH_DSP)
+    /* Multiply inputs and store results in temporary variables */
+    out1 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+    out2 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+    out3 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+    out4 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+
+    /* Pack and store result in destination buffer (in single write) */
+    write_q7x4_ia (&pDst, __PACKq7(out1, out2, out3, out4));
+#else
+    *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+    *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+    *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+    *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * B */
+
+    /* Multiply input and store result in destination buffer. */
+    *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c
new file mode 100644
index 0000000..5b2268c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c
@@ -0,0 +1,145 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_negate_f32.c
+ * Description:  Negates floating-point vectors
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @defgroup BasicNegate Vector Negate
+
+  Negates the elements of a vector.
+
+  <pre>
+      pDst[n] = -pSrc[n],   0 <= n < blockSize.
+  </pre>
+
+  The functions support in-place computation allowing the source and
+  destination pointers to reference the same memory buffer.
+  There are separate functions for floating-point, Q7, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup BasicNegate
+  @{
+ */
+
+/**
+  @brief         Negates the elements of a floating-point vector.
+  @param[in]     pSrc       points to input vector.
+  @param[out]    pDst       points to output vector.
+  @param[in]     blockSize  number of samples in each vector.
+  @return        none
+ */
+
+void arm_negate_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+    float32x4_t vec1;
+    float32x4_t res;
+
+    /* Compute 4 outputs at a time */
+    blkCnt = blockSize >> 2U;
+
+    while (blkCnt > 0U)
+    {
+        /* C = -A */
+
+    	/* Negate and then store the results in the destination buffer. */
+        vec1 = vld1q_f32(pSrc);
+        res = vnegq_f32(vec1);
+        vst1q_f32(pDst, res);
+
+        /* Increment pointers */
+        pSrc += 4;
+        pDst += 4;
+        
+        /* Decrement the loop counter */
+        blkCnt--;
+    }
+
+    /* Tail */
+    blkCnt = blockSize & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = -A */
+
+    /* Negate and store result in destination buffer. */
+    *pDst++ = -*pSrc++;
+
+    *pDst++ = -*pSrc++;
+
+    *pDst++ = -*pSrc++;
+
+    *pDst++ = -*pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON_EXPERIMENTAL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = -A */
+
+    /* Negate and store result in destination buffer. */
+    *pDst++ = -*pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicNegate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c
new file mode 100644
index 0000000..9c8ea7b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c
@@ -0,0 +1,126 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_negate_q15.c
+ * Description:  Negates Q15 vectors
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicNegate
+  @{
+ */
+
+/**
+  @brief         Negates the elements of a Q15 vector.
+  @param[in]     pSrc       points to the input vector.
+  @param[out]    pDst       points to the output vector.
+  @param[in]     blockSize  number of samples in each vector.
+  @return        none
+
+  @par           Conditions for optimum performance
+                   Input and output buffers should be aligned by 32-bit
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   The Q15 value -1 (0x8000) is saturated to the maximum allowable positive value 0x7FFF.
+ */
+
+void arm_negate_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q15_t in;                                      /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+  q31_t in1;                                    /* Temporary input variables */
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = -A */
+
+#if defined (ARM_MATH_DSP)
+    /* Negate and store result in destination buffer (2 samples at a time). */
+    in1 = read_q15x2_ia ((q15_t **) &pSrc);
+    write_q15x2_ia (&pDst, __QSUB16(0, in1));
+
+    in1 = read_q15x2_ia ((q15_t **) &pSrc);
+    write_q15x2_ia (&pDst, __QSUB16(0, in1));
+#else
+    in = *pSrc++;
+    *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in;
+
+    in = *pSrc++;
+    *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in;
+
+    in = *pSrc++;
+    *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in;
+
+    in = *pSrc++;
+    *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in;
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = -A */
+
+    /* Negate and store result in destination buffer. */
+    in = *pSrc++;
+    *pDst++ = (in == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicNegate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c
new file mode 100644
index 0000000..f01b1d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c
@@ -0,0 +1,132 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_negate_q31.c
+ * Description:  Negates Q31 vectors
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicNegate
+  @{
+ */
+
+/**
+  @brief         Negates the elements of a Q31 vector.
+  @param[in]     pSrc       points to the input vector.
+  @param[out]    pDst       points to the output vector.
+  @param[in]     blockSize   number of samples in each vector.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   The Q31 value -1 (0x80000000) is saturated to the maximum allowable positive value 0x7FFFFFFF.
+ */
+
+void arm_negate_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t in;                                      /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = -A */
+
+    /* Negate and store result in destination buffer. */
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QSUB(0, in);
+#else
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QSUB(0, in);
+#else
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QSUB(0, in);
+#else
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QSUB(0, in);
+#else
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = -A */
+
+    /* Negate and store result in destination buffer. */
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QSUB(0, in);
+#else
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicNegate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c
new file mode 100644
index 0000000..a27223f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c
@@ -0,0 +1,126 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_negate_q7.c
+ * Description:  Negates Q7 vectors
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicNegate
+  @{
+ */
+
+/**
+  @brief         Negates the elements of a Q7 vector.
+  @param[in]     pSrc       points to the input vector.
+  @param[out]    pDst       points to the output vector.
+  @param[in]     blockSize   number of samples in each vector.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   The Q7 value -1 (0x80) is saturated to the maximum allowable positive value 0x7F.
+ */
+
+void arm_negate_q7(
+  const q7_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q7_t in;                                       /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+  q31_t in1;                                    /* Temporary input variable */
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = -A */
+
+#if defined (ARM_MATH_DSP)
+    /* Negate and store result in destination buffer (4 samples at a time). */
+    in1 = read_q7x4_ia ((q7_t **) &pSrc);
+    write_q7x4_ia (&pDst, __QSUB8(0, in1));
+#else
+    in = *pSrc++;
+    *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in;
+
+    in = *pSrc++;
+    *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in;
+
+    in = *pSrc++;
+    *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in;
+
+    in = *pSrc++;
+    *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in;
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = -A */
+
+    /* Negate and store result in destination buffer. */
+    in = *pSrc++;
+
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (q7_t) __QSUB(0, in);
+#else
+    *pDst++ = (in == (q7_t) 0x80) ? (q7_t) 0x7f : -in;
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicNegate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c
new file mode 100644
index 0000000..aef5d41
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c
@@ -0,0 +1,147 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_offset_f32.c
+ * Description:  Floating-point vector offset
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @defgroup BasicOffset Vector Offset
+
+  Adds a constant offset to each element of a vector.
+
+  <pre>
+      pDst[n] = pSrc[n] + offset,   0 <= n < blockSize.
+  </pre>
+
+  The functions support in-place computation allowing the source and
+  destination pointers to reference the same memory buffer.
+  There are separate functions for floating-point, Q7, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup BasicOffset
+  @{
+ */
+
+/**
+  @brief         Adds a constant offset to a floating-point vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     offset     is the offset to be added
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+void arm_offset_f32(
+  const float32_t * pSrc,
+        float32_t offset,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+    float32x4_t vec1;
+    float32x4_t res;
+
+    /* Compute 4 outputs at a time */
+    blkCnt = blockSize >> 2U;
+
+    while (blkCnt > 0U)
+    {
+        /* C = A + offset */
+ 
+        /* Add offset and then store the results in the destination buffer. */
+        vec1 = vld1q_f32(pSrc);
+        res = vaddq_f32(vec1,vdupq_n_f32(offset));
+        vst1q_f32(pDst, res);
+
+        /* Increment pointers */
+        pSrc += 4;
+        pDst += 4;
+        
+        /* Decrement the loop counter */
+        blkCnt--;
+    }
+
+    /* Tail */
+    blkCnt = blockSize & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + offset */
+
+    /* Add offset and store result in destination buffer. */
+    *pDst++ = (*pSrc++) + offset;
+
+    *pDst++ = (*pSrc++) + offset;
+
+    *pDst++ = (*pSrc++) + offset;
+
+    *pDst++ = (*pSrc++) + offset;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON_EXPERIMENTAL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + offset */
+
+    /* Add offset and store result in destination buffer. */
+    *pDst++ = (*pSrc++) + offset;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicOffset group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c
new file mode 100644
index 0000000..196efb6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c
@@ -0,0 +1,121 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_offset_q15.c
+ * Description:  Q15 vector offset
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicOffset
+  @{
+ */
+
+/**
+  @brief         Adds a constant offset to a Q15 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     offset     is the offset to be added
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+
+void arm_offset_q15(
+  const q15_t * pSrc,
+        q15_t offset,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+  q31_t offset_packed;                           /* Offset packed to 32 bit */
+
+  /* Offset is packed to 32 bit in order to use SIMD32 for addition */
+  offset_packed = __PKHBT(offset, offset, 16);
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + offset */
+
+#if defined (ARM_MATH_DSP)
+    /* Add offset and store result in destination buffer (2 samples at a time). */
+    write_q15x2_ia (&pDst, __QADD16(read_q15x2_ia ((q15_t **) &pSrc), offset_packed));
+    write_q15x2_ia (&pDst, __QADD16(read_q15x2_ia ((q15_t **) &pSrc), offset_packed));
+#else
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16);
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16);
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16);
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + offset */
+
+    /* Add offset and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (q15_t) __QADD16(*pSrc++, offset);
+#else
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrc++ + offset), 16);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicOffset group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c
new file mode 100644
index 0000000..b043c85
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c
@@ -0,0 +1,128 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_offset_q31.c
+ * Description:  Q31 vector offset
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicOffset
+  @{
+ */
+
+/**
+  @brief         Adds a constant offset to a Q31 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     offset     is the offset to be added
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+void arm_offset_q31(
+  const q31_t * pSrc,
+        q31_t offset,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + offset */
+
+    /* Add offset and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QADD(*pSrc++, offset);
+#else
+    *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset);
+#endif
+
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QADD(*pSrc++, offset);
+#else
+    *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset);
+#endif
+
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QADD(*pSrc++, offset);
+#else
+    *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset);
+#endif
+
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QADD(*pSrc++, offset);
+#else
+    *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + offset */
+
+    /* Add offset and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QADD(*pSrc++, offset);
+#else
+    *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicOffset group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c
new file mode 100644
index 0000000..95ccfda
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c
@@ -0,0 +1,116 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_offset_q7.c
+ * Description:  Q7 vector offset
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicOffset
+  @{
+ */
+
+/**
+  @brief         Adds a constant offset to a Q7 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     offset     is the offset to be added
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q7 range [0x80 0x7F] are saturated.
+ */
+
+void arm_offset_q7(
+  const q7_t * pSrc,
+        q7_t offset,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+  q31_t offset_packed;                           /* Offset packed to 32 bit */
+
+  /* Offset is packed to 32 bit in order to use SIMD32 for addition */
+  offset_packed = __PACKq7(offset, offset, offset, offset);
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + offset */
+
+#if defined (ARM_MATH_DSP)
+    /* Add offset and store result in destination buffer (4 samples at a time). */
+    write_q7x4_ia (&pDst, __QADD8(read_q7x4_ia ((q7_t **) &pSrc), offset_packed));
+#else
+    *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8);
+    *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8);
+    *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8);
+    *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A + offset */
+
+    /* Add offset and store result in destination buffer. */
+    *pDst++ = (q7_t) __SSAT((q15_t) *pSrc++ + offset, 8);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicOffset group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c
new file mode 100644
index 0000000..38327cc
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c
@@ -0,0 +1,159 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_scale_f32.c
+ * Description:  Multiplies a floating-point vector by a scalar
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @defgroup BasicScale Vector Scale
+
+  Multiply a vector by a scalar value.  For floating-point data, the algorithm used is:
+
+  <pre>
+      pDst[n] = pSrc[n] * scale,   0 <= n < blockSize.
+  </pre>
+
+  In the fixed-point Q7, Q15, and Q31 functions, <code>scale</code> is represented by
+  a fractional multiplication <code>scaleFract</code> and an arithmetic shift <code>shift</code>.
+  The shift allows the gain of the scaling operation to exceed 1.0.
+  The algorithm used with fixed-point data is:
+
+  <pre>
+      pDst[n] = (pSrc[n] * scaleFract) << shift,   0 <= n < blockSize.
+  </pre>
+
+  The overall scale factor applied to the fixed-point data is
+  <pre>
+      scale = scaleFract * 2^shift.
+  </pre>
+
+  The functions support in-place computation allowing the source and destination
+  pointers to reference the same memory buffer.
+ */
+
+/**
+  @addtogroup BasicScale
+  @{
+ */
+
+/**
+  @brief         Multiplies a floating-point vector by a scalar.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     scale      scale factor to be applied
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+void arm_scale_f32(
+  const float32_t *pSrc,
+        float32_t scale,
+        float32_t *pDst,
+        uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* Loop counter */
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+    float32x4_t vec1;
+    float32x4_t res;
+
+    /* Compute 4 outputs at a time */
+    blkCnt = blockSize >> 2U;
+
+    while (blkCnt > 0U)
+    {
+        /* C = A * scale */
+
+    	/* Scale the input and then store the results in the destination buffer. */
+        vec1 = vld1q_f32(pSrc);
+        res = vmulq_f32(vec1, vdupq_n_f32(scale));
+        vst1q_f32(pDst, res);
+
+        /* Increment pointers */
+        pSrc += 4; 
+        pDst += 4;
+        
+        /* Decrement the loop counter */
+        blkCnt--;
+    }
+
+    /* Tail */
+    blkCnt = blockSize & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * scale */
+
+    /* Scale input and store result in destination buffer. */
+    *pDst++ = (*pSrc++) * scale;
+
+    *pDst++ = (*pSrc++) * scale;
+
+    *pDst++ = (*pSrc++) * scale;
+
+    *pDst++ = (*pSrc++) * scale;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON_EXPERIMENTAL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * scale */
+
+    /* Scale input and store result in destination buffer. */
+    *pDst++ = (*pSrc++) * scale;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicScale group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c
new file mode 100644
index 0000000..fc3f2ee
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c
@@ -0,0 +1,144 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_scale_q15.c
+ * Description:  Multiplies a Q15 vector by a scalar
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicScale
+  @{
+ */
+
+/**
+  @brief         Multiplies a Q15 vector by a scalar.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     scaleFract fractional portion of the scale value
+  @param[in]     shift      number of bits to shift the result by
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.15 format.
+                   These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format.
+ */
+
+void arm_scale_q15(
+  const q15_t *pSrc,
+        q15_t scaleFract,
+        int8_t shift,
+        q15_t *pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        int8_t kShift = 15 - shift;                    /* Shift to apply after scaling */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+#if defined (ARM_MATH_DSP)
+  q31_t inA1, inA2;
+  q31_t out1, out2, out3, out4;                  /* Temporary output variables */
+  q15_t in1, in2, in3, in4;                      /* Temporary input variables */
+#endif
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * scale */
+
+#if defined (ARM_MATH_DSP)
+    /* read 2 times 2 samples at a time from source */
+    inA1 = read_q15x2_ia ((q15_t **) &pSrc);
+    inA2 = read_q15x2_ia ((q15_t **) &pSrc);
+
+    /* Scale inputs and store result in temporary variables
+     * in single cycle by packing the outputs */
+    out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract);
+    out2 = (q31_t) ((q15_t) (inA1      ) * scaleFract);
+    out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract);
+    out4 = (q31_t) ((q15_t) (inA2      ) * scaleFract);
+
+    /* apply shifting */
+    out1 = out1 >> kShift;
+    out2 = out2 >> kShift;
+    out3 = out3 >> kShift;
+    out4 = out4 >> kShift;
+
+    /* saturate the output */
+    in1 = (q15_t) (__SSAT(out1, 16));
+    in2 = (q15_t) (__SSAT(out2, 16));
+    in3 = (q15_t) (__SSAT(out3, 16));
+    in4 = (q15_t) (__SSAT(out4, 16));
+
+    /* store result to destination */
+    write_q15x2_ia (&pDst, __PKHBT(in2, in1, 16));
+    write_q15x2_ia (&pDst, __PKHBT(in4, in3, 16));
+#else
+    *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+    *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+    *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+    *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * scale */
+
+    /* Scale input and store result in destination buffer. */
+    *pDst++ = (q15_t) (__SSAT(((q31_t) *pSrc++ * scaleFract) >> kShift, 16));
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicScale group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c
new file mode 100644
index 0000000..52821ed
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c
@@ -0,0 +1,191 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_scale_q31.c
+ * Description:  Multiplies a Q31 vector by a scalar
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicScale
+  @{
+ */
+
+/**
+  @brief         Multiplies a Q31 vector by a scalar.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     scaleFract fractional portion of the scale value
+  @param[in]     shift      number of bits to shift the result by
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.31 format.
+                   These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format.
+ */
+
+void arm_scale_q31(
+  const q31_t *pSrc,
+        q31_t scaleFract,
+        int8_t shift,
+        q31_t *pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t in, out;                                 /* Temporary variables */
+        int8_t kShift = shift + 1;                     /* Shift to apply after scaling */
+        int8_t sign = (kShift & 0x80);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  if (sign == 0U)
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A * scale */
+
+      /* Scale input and store result in destination buffer. */
+      in = *pSrc++;                                /* read input from source */
+      in = ((q63_t) in * scaleFract) >> 32;        /* multiply input with scaler value */
+      out = in << kShift;                          /* apply shifting */
+      if (in != (out >> kShift))                   /* saturate the result */
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pDst++ = out;                               /* Store result destination */
+
+      in = *pSrc++;
+      in = ((q63_t) in * scaleFract) >> 32;
+      out = in << kShift;
+      if (in != (out >> kShift))
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pDst++ = out;
+
+      in = *pSrc++;
+      in = ((q63_t) in * scaleFract) >> 32;
+      out = in << kShift;
+      if (in != (out >> kShift))
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pDst++ = out;
+
+      in = *pSrc++;
+      in = ((q63_t) in * scaleFract) >> 32;
+      out = in << kShift;
+      if (in != (out >> kShift))
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pDst++ = out;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A * scale */
+
+      /* Scale input and store result in destination buffer. */
+      in = *pSrc++;                                /* read four inputs from source */
+      in = ((q63_t) in * scaleFract) >> 32;        /* multiply input with scaler value */
+      out = in >> -kShift;                         /* apply shifting */
+      *pDst++ = out;                               /* Store result destination */
+
+      in = *pSrc++;
+      in = ((q63_t) in * scaleFract) >> 32;
+      out = in >> -kShift;
+      *pDst++ = out;
+
+      in = *pSrc++;
+      in = ((q63_t) in * scaleFract) >> 32;
+      out = in >> -kShift;
+      *pDst++ = out;
+
+      in = *pSrc++;
+      in = ((q63_t) in * scaleFract) >> 32;
+      out = in >> -kShift;
+      *pDst++ = out;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  if (sign == 0U)
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A * scale */
+
+      /* Scale input and store result in destination buffer. */
+      in = *pSrc++;
+      in = ((q63_t) in * scaleFract) >> 32;
+      out = in << kShift;
+      if (in != (out >> kShift))
+          out = 0x7FFFFFFF ^ (in >> 31);
+      *pDst++ = out;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A * scale */
+
+      /* Scale input and store result in destination buffer. */
+      in = *pSrc++;
+      in = ((q63_t) in * scaleFract) >> 32;
+      out = in >> -kShift;
+      *pDst++ = out;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+}
+
+/**
+  @} end of BasicScale group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c
new file mode 100644
index 0000000..9da6af3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c
@@ -0,0 +1,129 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_scale_q7.c
+ * Description:  Multiplies a Q7 vector by a scalar
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicScale
+  @{
+ */
+
+/**
+  @brief         Multiplies a Q7 vector by a scalar.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     scaleFract fractional portion of the scale value
+  @param[in]     shift      number of bits to shift the result by
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.7 format.
+                   These are multiplied to yield a 2.14 intermediate result and this is shifted with saturation to 1.7 format.
+ */
+
+void arm_scale_q7(
+  const q7_t * pSrc,
+        q7_t scaleFract,
+        int8_t shift,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        int8_t kShift = 7 - shift;                     /* Shift to apply after scaling */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+  q7_t in1,  in2,  in3,  in4;                    /* Temporary input variables */
+  q7_t out1, out2, out3, out4;                   /* Temporary output variables */
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * scale */
+
+#if defined (ARM_MATH_DSP)
+    /* Reading 4 inputs from memory */
+    in1 = *pSrc++;
+    in2 = *pSrc++;
+    in3 = *pSrc++;
+    in4 = *pSrc++;
+
+    /* Scale inputs and store result in the temporary variable. */
+    out1 = (q7_t) (__SSAT(((in1) * scaleFract) >> kShift, 8));
+    out2 = (q7_t) (__SSAT(((in2) * scaleFract) >> kShift, 8));
+    out3 = (q7_t) (__SSAT(((in3) * scaleFract) >> kShift, 8));
+    out4 = (q7_t) (__SSAT(((in4) * scaleFract) >> kShift, 8));
+
+    /* Pack and store result in destination buffer (in single write) */
+    write_q7x4_ia (&pDst, __PACKq7(out1, out2, out3, out4));
+#else
+    *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+    *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+    *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+    *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * scale */
+
+    /* Scale input and store result in destination buffer. */
+    *pDst++ = (q7_t) (__SSAT((((q15_t) *pSrc++ * scaleFract) >> kShift), 8));
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicScale group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c
new file mode 100644
index 0000000..360be97
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c
@@ -0,0 +1,201 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_shift_q15.c
+ * Description:  Shifts the elements of a Q15 vector by a specified number of bits
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicShift
+  @{
+ */
+
+/**
+  @brief         Shifts the elements of a Q15 vector a specified number of bits
+  @param[in]     pSrc       points to the input vector
+  @param[in]     shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+
+void arm_shift_q15(
+  const q15_t * pSrc,
+        int8_t shiftBits,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        uint8_t sign = (shiftBits & 0x80);             /* Sign of shiftBits */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+  q15_t in1, in2;                                /* Temporary input variables */
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  /* If the shift value is positive then do right shift else left shift */
+  if (sign == 0U)
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A << shiftBits */
+
+#if defined (ARM_MATH_DSP)
+      /* read 2 samples from source */
+      in1 = *pSrc++;
+      in2 = *pSrc++;
+
+      /* Shift the inputs and then store the results in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+      write_q15x2_ia (&pDst, __PKHBT(__SSAT((in1 << shiftBits), 16),
+                                     __SSAT((in2 << shiftBits), 16), 16));
+#else
+      write_q15x2_ia (&pDst, __PKHBT(__SSAT((in2 << shiftBits), 16),
+                                      __SSAT((in1 << shiftBits), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+      /* read 2 samples from source */
+      in1 = *pSrc++;
+      in2 = *pSrc++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      write_q15x2_ia (&pDst, __PKHBT(__SSAT((in1 << shiftBits), 16),
+                                     __SSAT((in2 << shiftBits), 16), 16));
+#else
+      write_q15x2_ia (&pDst, __PKHBT(__SSAT((in2 << shiftBits), 16),
+                                     __SSAT((in1 << shiftBits), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+#else
+      *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+      *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+      *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+      *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+#endif
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A >> shiftBits */
+
+#if defined (ARM_MATH_DSP)
+      /* read 2 samples from source */
+      in1 = *pSrc++;
+      in2 = *pSrc++;
+
+      /* Shift the inputs and then store the results in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+      write_q15x2_ia (&pDst, __PKHBT((in1 >> -shiftBits),
+                                     (in2 >> -shiftBits), 16));
+#else
+      write_q15x2_ia (&pDst, __PKHBT((in2 >> -shiftBits),
+                                     (in1 >> -shiftBits), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+      /* read 2 samples from source */
+      in1 = *pSrc++;
+      in2 = *pSrc++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      write_q15x2_ia (&pDst, __PKHBT((in1 >> -shiftBits),
+                                     (in2 >> -shiftBits), 16));
+#else
+      write_q15x2_ia (&pDst, __PKHBT((in2 >> -shiftBits),
+                                     (in1 >> -shiftBits), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+#else
+      *pDst++ = (*pSrc++ >> -shiftBits);
+      *pDst++ = (*pSrc++ >> -shiftBits);
+      *pDst++ = (*pSrc++ >> -shiftBits);
+      *pDst++ = (*pSrc++ >> -shiftBits);
+#endif
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* If the shift value is positive then do right shift else left shift */
+  if (sign == 0U)
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A << shiftBits */
+
+      /* Shift input and store result in destination buffer. */
+      *pDst++ = __SSAT(((q31_t) *pSrc++ << shiftBits), 16);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A >> shiftBits */
+
+      /* Shift input and store result in destination buffer. */
+      *pDst++ = (*pSrc++ >> -shiftBits);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+}
+
+/**
+  @} end of BasicShift group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c
new file mode 100644
index 0000000..5550426
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c
@@ -0,0 +1,181 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_shift_q31.c
+ * Description:  Shifts the elements of a Q31 vector by a specified number of bits
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+/**
+  @defgroup BasicShift Vector Shift
+
+  Shifts the elements of a fixed-point vector by a specified number of bits.
+  There are separate functions for Q7, Q15, and Q31 data types.
+  The underlying algorithm used is:
+
+  <pre>
+      pDst[n] = pSrc[n] << shift,   0 <= n < blockSize.
+  </pre>
+
+  If <code>shift</code> is positive then the elements of the vector are shifted to the left.
+  If <code>shift</code> is negative then the elements of the vector are shifted to the right.
+
+  The functions support in-place computation allowing the source and destination
+  pointers to reference the same memory buffer.
+ */
+
+/**
+  @addtogroup BasicShift
+  @{
+ */
+
+/**
+  @brief         Shifts the elements of a Q31 vector a specified number of bits.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in the vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+void arm_shift_q31(
+  const q31_t * pSrc,
+        int8_t shiftBits,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        uint8_t sign = (shiftBits & 0x80);             /* Sign of shiftBits */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  q31_t in, out;                                 /* Temporary variables */
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  /* If the shift value is positive then do right shift else left shift */
+  if (sign == 0U)
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A << shiftBits */
+
+      /* Shift input and store result in destination buffer. */
+      in = *pSrc++;
+      out = in << shiftBits;
+      if (in != (out >> shiftBits))
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pDst++ = out;
+
+      in = *pSrc++;
+      out = in << shiftBits;
+      if (in != (out >> shiftBits))
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pDst++ = out;
+
+      in = *pSrc++;
+      out = in << shiftBits;
+      if (in != (out >> shiftBits))
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pDst++ = out;
+
+      in = *pSrc++;
+      out = in << shiftBits;
+      if (in != (out >> shiftBits))
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pDst++ = out;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A >> shiftBits */
+
+      /* Shift input and store results in destination buffer. */
+      *pDst++ = (*pSrc++ >> -shiftBits);
+      *pDst++ = (*pSrc++ >> -shiftBits);
+      *pDst++ = (*pSrc++ >> -shiftBits);
+      *pDst++ = (*pSrc++ >> -shiftBits);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* If the shift value is positive then do right shift else left shift */
+  if (sign == 0U)
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A << shiftBits */
+
+      /* Shift input and store result in destination buffer. */
+      *pDst++ = clip_q63_to_q31((q63_t) *pSrc++ << shiftBits);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A >> shiftBits */
+
+      /* Shift input and store result in destination buffer. */
+      *pDst++ = (*pSrc++ >> -shiftBits);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+}
+
+/**
+  @} end of BasicShift group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c
new file mode 100644
index 0000000..832e40a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c
@@ -0,0 +1,175 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_shift_q7.c
+ * Description:  Processing function for the Q7 Shifting
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicShift
+  @{
+ */
+
+/**
+  @brief         Shifts the elements of a Q7 vector a specified number of bits
+  @param[in]     pSrc       points to the input vector
+  @param[in]     shiftBits  number of bits to shift.  A positive value shifts left; a negative value shifts right.
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           onditions for optimum performance
+                   Input and output buffers should be aligned by 32-bit
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q7 range [0x80 0x7F] are saturated.
+ */
+
+void arm_shift_q7(
+  const q7_t * pSrc,
+        int8_t shiftBits,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        uint8_t sign = (shiftBits & 0x80);             /* Sign of shiftBits */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+  q7_t in1,  in2,  in3,  in4;                    /* Temporary input variables */
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  /* If the shift value is positive then do right shift else left shift */
+  if (sign == 0U)
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A << shiftBits */
+
+#if defined (ARM_MATH_DSP)
+      /* Read 4 inputs */
+      in1 = *pSrc++;
+      in2 = *pSrc++;
+      in3 = *pSrc++;
+      in4 = *pSrc++;
+
+    /* Pack and store result in destination buffer (in single write) */
+      write_q7x4_ia (&pDst, __PACKq7(__SSAT((in1 << shiftBits), 8),
+                                     __SSAT((in2 << shiftBits), 8),
+                                     __SSAT((in3 << shiftBits), 8),
+                                     __SSAT((in4 << shiftBits), 8) ));
+#else
+      *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+      *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+      *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+      *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+#endif
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A >> shiftBits */
+
+#if defined (ARM_MATH_DSP)
+      /* Read 4 inputs */
+      in1 = *pSrc++;
+      in2 = *pSrc++;
+      in3 = *pSrc++;
+      in4 = *pSrc++;
+
+    /* Pack and store result in destination buffer (in single write) */
+      write_q7x4_ia (&pDst, __PACKq7((in1 >> -shiftBits),
+                                     (in2 >> -shiftBits),
+                                     (in3 >> -shiftBits),
+                                     (in4 >> -shiftBits) ));
+#else
+      *pDst++ = (*pSrc++ >> -shiftBits);
+      *pDst++ = (*pSrc++ >> -shiftBits);
+      *pDst++ = (*pSrc++ >> -shiftBits);
+      *pDst++ = (*pSrc++ >> -shiftBits);
+#endif
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* If the shift value is positive then do right shift else left shift */
+  if (sign == 0U)
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A << shiftBits */
+
+      /* Shift input and store result in destination buffer. */
+      *pDst++ = (q7_t) __SSAT(((q15_t) *pSrc++ << shiftBits), 8);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    while (blkCnt > 0U)
+    {
+      /* C = A >> shiftBits */
+
+      /* Shift input and store result in destination buffer. */
+      *pDst++ = (*pSrc++ >> -shiftBits);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+}
+
+/**
+  @} end of BasicShift group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c
new file mode 100644
index 0000000..67556e4
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c
@@ -0,0 +1,148 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sub_f32.c
+ * Description:  Floating-point vector subtraction
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @defgroup BasicSub Vector Subtraction
+
+  Element-by-element subtraction of two vectors.
+
+  <pre>
+      pDst[n] = pSrcA[n] - pSrcB[n],   0 <= n < blockSize.
+  </pre>
+
+  There are separate functions for floating-point, Q7, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup BasicSub
+  @{
+ */
+
+/**
+  @brief         Floating-point vector subtraction.
+  @param[in]     pSrcA      points to the first input vector
+  @param[in]     pSrcB      points to the second input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+void arm_sub_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined(ARM_MATH_NEON)
+    float32x4_t vec1;
+    float32x4_t vec2;
+    float32x4_t res;
+
+    /* Compute 4 outputs at a time */
+    blkCnt = blockSize >> 2U;
+
+    while (blkCnt > 0U)
+    {
+        /* C = A - B */
+
+        /* Subtract and then store the results in the destination buffer. */
+        vec1 = vld1q_f32(pSrcA);
+        vec2 = vld1q_f32(pSrcB);
+        res = vsubq_f32(vec1, vec2);
+        vst1q_f32(pDst, res);
+
+        /* Increment pointers */
+        pSrcA += 4;
+        pSrcB += 4; 
+        pDst += 4;
+        
+        /* Decrement the loop counter */
+        blkCnt--;
+    }
+
+    /* Tail */
+    blkCnt = blockSize & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A - B */
+
+    /* Subtract and store result in destination buffer. */
+    *pDst++ = (*pSrcA++) - (*pSrcB++);
+
+    *pDst++ = (*pSrcA++) - (*pSrcB++);
+
+    *pDst++ = (*pSrcA++) - (*pSrcB++);
+
+    *pDst++ = (*pSrcA++) - (*pSrcB++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A - B */
+
+    /* Subtract and store result in destination buffer. */
+    *pDst++ = (*pSrcA++) - (*pSrcB++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicSub group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c
new file mode 100644
index 0000000..07420c2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c
@@ -0,0 +1,126 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sub_q15.c
+ * Description:  Q15 vector subtraction
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicSub
+  @{
+ */
+
+/**
+  @brief         Q15 vector subtraction.
+  @param[in]     pSrcA      points to the first input vector
+  @param[in]     pSrcB      points to the second input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+
+void arm_sub_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+  q31_t inA1, inA2;
+  q31_t inB1, inB2;
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A - B */
+
+#if defined (ARM_MATH_DSP)
+    /* read 2 times 2 samples at a time from sourceA */
+    inA1 = read_q15x2_ia ((q15_t **) &pSrcA);
+    inA2 = read_q15x2_ia ((q15_t **) &pSrcA);
+    /* read 2 times 2 samples at a time from sourceB */
+    inB1 = read_q15x2_ia ((q15_t **) &pSrcB);
+    inB2 = read_q15x2_ia ((q15_t **) &pSrcB);
+
+    /* Subtract and store 2 times 2 samples at a time */
+    write_q15x2_ia (&pDst, __QSUB16(inA1, inB1));
+    write_q15x2_ia (&pDst, __QSUB16(inA2, inB2));
+#else
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16);
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16);
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16);
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A - B */
+
+    /* Subtract and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+    *pDst++ = (q15_t) __QSUB16(*pSrcA++, *pSrcB++);
+#else
+    *pDst++ = (q15_t) __SSAT(((q31_t) *pSrcA++ - *pSrcB++), 16);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicSub group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c
new file mode 100644
index 0000000..bd94ba5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c
@@ -0,0 +1,108 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sub_q31.c
+ * Description:  Q31 vector subtraction
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicSub
+  @{
+ */
+
+/**
+  @brief         Q31 vector subtraction.
+  @param[in]     pSrcA      points to the first input vector
+  @param[in]     pSrcB      points to the second input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+void arm_sub_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A - B */
+
+    /* Subtract and store result in destination buffer. */
+    *pDst++ = __QSUB(*pSrcA++, *pSrcB++);
+
+    *pDst++ = __QSUB(*pSrcA++, *pSrcB++);
+
+    *pDst++ = __QSUB(*pSrcA++, *pSrcB++);
+
+    *pDst++ = __QSUB(*pSrcA++, *pSrcB++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A - B */
+
+    /* Subtract and store result in destination buffer. */
+    *pDst++ = __QSUB(*pSrcA++, *pSrcB++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicSub group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c
new file mode 100644
index 0000000..ce65350
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c
@@ -0,0 +1,109 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sub_q7.c
+ * Description:  Q7 vector subtraction
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMath
+ */
+
+/**
+  @addtogroup BasicSub
+  @{
+ */
+
+/**
+  @brief         Q7 vector subtraction.
+  @param[in]     pSrcA      points to the first input vector
+  @param[in]     pSrcB      points to the second input vector
+  @param[out]    pDst       points to the output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q7 range [0x80 0x7F] will be saturated.
+ */
+
+void arm_sub_q7(
+  const q7_t * pSrcA,
+  const q7_t * pSrcB,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A - B */
+
+#if defined (ARM_MATH_DSP)
+    /* Subtract and store result in destination buffer (4 samples at a time). */
+    write_q7x4_ia (&pDst, __QSUB8(read_q7x4_ia ((q7_t **) &pSrcA), read_q7x4_ia ((q7_t **) &pSrcB)));
+#else
+    *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8);
+    *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8);
+    *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8);
+    *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A - B */
+
+    /* Subtract and store result in destination buffer. */
+    *pDst++ = (q7_t) __SSAT((q15_t) *pSrcA++ - *pSrcB++, 8);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of BasicSub group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/CMakeLists.txt
new file mode 100644
index 0000000..82b5125
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/CMakeLists.txt
@@ -0,0 +1,223 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSP)
+
+# Needed to find the config modules
+list(APPEND CMAKE_MODULE_PATH ${CMAKE_CURRENT_SOURCE_DIR}/..)
+
+# Select which parts of the CMSIS-DSP must be compiled.
+# There are some dependencies between the parts but they are not tracked
+# by this cmake. So, enabling some functions may require to enable some
+# other ones.
+option(BASICMATH            "Basic Math Functions"              ON)
+option(COMPLEXMATH          "Complex Math Functions"            ON)
+option(CONTROLLER           "Controller Functions"              ON)
+option(FASTMATH             "Fast Math Functions"               ON)
+option(FILTERING            "Filtering Functions"               ON)
+option(MATRIX               "Matrix Functions"                  ON)
+option(STATISTICS           "Statistics Functions"              ON)
+option(SUPPORT              "Support Functions"                 ON)
+option(TRANSFORM            "Transform Functions"               ON)
+
+# When OFF it is the default behavior : all tables are included.
+option(CONFIGTABLE          "Configuration of table allowed"    OFF)
+
+# When CONFIGTABLE is ON, select if all interpolation tables must be included
+option(ALLFAST              "All interpolation tables included" OFF)
+# When CONFIGTABLE is ON, select if all FFT tables must be included
+option(ALLFFT               "All fft tables included"           OFF)
+
+# Features which require inclusion of a data table.
+# Since some tables may be big, the corresponding feature can be
+# disabled.
+# Those options are taken into account only when CONFIGTABLE is ON
+option(ARM_COS_F32          "cos f32"                           OFF)
+option(ARM_COS_Q31          "cos q31"                           OFF)
+option(ARM_COS_Q15          "cos q15"                           OFF)
+option(ARM_SIN_F32          "sin f32"                           OFF)
+option(ARM_SIN_Q31          "sin q31"                           OFF)
+option(ARM_SIN_Q15          "sin q15"                           OFF)
+option(ARM_SIN_COS_F32      "sin cos f32"                       OFF)
+option(ARM_SIN_COS_Q31      "sin cos q31"                       OFF)
+             
+option(ARM_LMS_NORM_Q31     "lms norm q31"                      OFF)
+option(ARM_LMS_NORM_Q15     "lms norm q15"                      OFF)
+             
+option(CFFT_F32_16          "cfft f32 16"                       OFF)
+option(CFFT_F32_32          "cfft f32 32"                       OFF)
+option(CFFT_F32_64          "cfft f32 64"                       OFF)
+option(CFFT_F32_128         "cfft f32 128"                      OFF)
+option(CFFT_F32_256         "cfft f32 256"                      OFF)
+option(CFFT_F32_512         "cfft f32 512"                      OFF)
+option(CFFT_F32_1024        "cfft f32 1024"                     OFF)
+option(CFFT_F32_2048        "cfft f32 2048"                     OFF)
+option(CFFT_F32_4096        "cfft f32 4096"                     OFF)
+                  
+option(CFFT_Q31_16          "cfft q31 16"                       OFF)
+option(CFFT_Q31_32          "cfft q31 32"                       OFF)
+option(CFFT_Q31_64          "cfft q31 64"                       OFF)
+option(CFFT_Q31_128         "cfft q31 128"                      OFF)
+option(CFFT_Q31_256         "cfft q31 256"                      OFF)
+option(CFFT_Q31_512         "cfft q31 512"                      OFF)
+option(CFFT_Q31_1024        "cfft q31 1024"                     OFF)
+option(CFFT_Q31_2048        "cfft q31 2048"                     OFF)
+option(CFFT_Q31_4096        "cfft q31 4096"                     OFF)
+                  
+option(CFFT_Q15_16          "cfft q15 16"                       OFF)
+option(CFFT_Q15_32          "cfft q15 32"                       OFF)
+option(CFFT_Q15_64          "cfft q15 64"                       OFF)
+option(CFFT_Q15_128         "cfft q15 128"                      OFF)
+option(CFFT_Q15_256         "cfft q15 256"                      OFF)
+option(CFFT_Q15_512         "cfft q15 512"                      OFF)
+option(CFFT_Q15_1024        "cfft q15 1024"                     OFF)
+option(CFFT_Q15_2048        "cfft q15 2048"                     OFF)
+option(CFFT_Q15_4096        "cfft q15 4096"                     OFF)
+             
+option(RFFT_FAST_F32_32     "rfft fast f32 32"                  OFF)
+option(RFFT_FAST_F32_64     "rfft fast f32 64"                  OFF)
+option(RFFT_FAST_F32_128    "rfft fast f32 128"                 OFF)
+option(RFFT_FAST_F32_256    "rfft fast f32 256"                 OFF)
+option(RFFT_FAST_F32_512    "rfft fast f32 512"                 OFF)
+option(RFFT_FAST_F32_1024   "rfft fast f32 1024"                OFF)
+option(RFFT_FAST_F32_2048   "rfft fast f32 2048"                OFF)
+option(RFFT_FAST_F32_4096   "rfft fast f32 4096"                OFF)
+             
+             
+option(RFFT_F32_128         "rfft f32 128"                      OFF)
+option(RFFT_F32_512         "rfft f32 512"                      OFF)
+option(RFFT_F32_2048        "rfft f32 2048"                     OFF)
+option(RFFT_F32_8192        "rfft f32 8192"                     OFF)
+             
+option(RFFT_Q31_32          "rfft q31 32"                       OFF)
+option(RFFT_Q31_64          "rfft q31 64"                       OFF)
+option(RFFT_Q31_128         "rfft q31 128"                      OFF)
+option(RFFT_Q31_256         "rfft q31 256"                      OFF)
+option(RFFT_Q31_512         "rfft q31 512"                      OFF)
+option(RFFT_Q31_1024        "rfft q31 1024"                     OFF)
+option(RFFT_Q31_2048        "rfft q31 2048"                     OFF)
+option(RFFT_Q31_4096        "rfft q31 4096"                     OFF)
+option(RFFT_Q31_8192        "rfft q31 8192"                     OFF)
+             
+option(RFFT_Q15_32          "rfft q15 32"                       OFF)
+option(RFFT_Q15_64          "rfft q15 64"                       OFF)
+option(RFFT_Q15_128         "rfft q15 128"                      OFF)
+option(RFFT_Q15_256         "rfft q15 256"                      OFF)
+option(RFFT_Q15_512         "rfft q15 512"                      OFF)
+option(RFFT_Q15_1024        "rfft q15 1024"                     OFF)
+option(RFFT_Q15_2048        "rfft q15 2048"                     OFF)
+option(RFFT_Q15_4096        "rfft q15 4096"                     OFF)
+option(RFFT_Q15_8192        "rfft q15 8192"                     OFF)
+             
+option(DCT4_F32_128          "dct4 f32 128"                     OFF)
+option(DCT4_F32_512          "dct4 f32 512"                     OFF)
+option(DCT4_F32_2048         "dct4 f32 2048"                    OFF)
+option(DCT4_F32_8192         "dct4 f32 8192"                    OFF)
+             
+option(DCT4_Q31_128          "dct4 q31 128"                     OFF)
+option(DCT4_Q31_512          "dct4 q31 512"                     OFF)
+option(DCT4_Q31_2048         "dct4 q31 2048"                    OFF)
+option(DCT4_Q31_8192         "dct4 q31 8192"                    OFF)
+             
+option(DCT4_Q15_128          "dct4 q15 128"                     OFF)
+option(DCT4_Q15_512          "dct4 q15 512"                     OFF)
+option(DCT4_Q15_2048         "dct4 q15 2048"                    OFF)
+option(DCT4_Q15_8192         "dct4 q15 8192"                    OFF)
+
+
+###########################
+#
+# CMSIS DSP
+#
+###########################
+
+# DSP Sources
+SET(DSP ".")
+
+add_library(CMSISDSP INTERFACE)
+
+include(config)
+
+
+if (BASICMATH)
+  add_subdirectory(BasicMathFunctions)
+  target_link_libraries(CMSISDSP INTERFACE CMSISDSPBasicMath)
+endif()
+
+if (COMPLEXMATH)
+  add_subdirectory(ComplexMathFunctions)
+  target_link_libraries(CMSISDSP INTERFACE CMSISDSPComplexMath)
+endif()
+
+if (CONTROLLER)
+  add_subdirectory(ControllerFunctions)
+  # Fast tables inclusion is allowed
+  if (CONFIGTABLE)
+    target_compile_definitions(CMSISDSPController PUBLIC ARM_FAST_ALLOW_TABLES) 
+  endif()
+  target_link_libraries(CMSISDSP INTERFACE CMSISDSPController)
+endif()
+
+if (FASTMATH)
+  add_subdirectory(FastMathFunctions)
+  # Fast tables inclusion is allowed
+  if (CONFIGTABLE)
+    target_compile_definitions(CMSISDSPFastMath PUBLIC ARM_FAST_ALLOW_TABLES) 
+  endif()
+  target_link_libraries(CMSISDSP INTERFACE CMSISDSPFastMath)
+endif()
+
+if (FILTERING)
+  add_subdirectory(FilteringFunctions)
+  # Fast tables inclusion is allowed
+  if (CONFIGTABLE)
+    target_compile_definitions(CMSISDSPFiltering PUBLIC ARM_FAST_ALLOW_TABLES)
+  endif() 
+  target_link_libraries(CMSISDSP INTERFACE CMSISDSPFiltering)
+endif()
+
+if (MATRIX)
+  add_subdirectory(MatrixFunctions)
+  target_link_libraries(CMSISDSP INTERFACE CMSISDSPMatrix)
+endif()
+
+if (STATISTICS)
+  add_subdirectory(StatisticsFunctions)
+  target_link_libraries(CMSISDSP INTERFACE CMSISDSPStatistics)
+endif()
+
+if (SUPPORT)
+  add_subdirectory(SupportFunctions)
+  target_link_libraries(CMSISDSP INTERFACE CMSISDSPSupport)
+endif()
+
+if (TRANSFORM)
+  add_subdirectory(TransformFunctions)
+  # FFT tables inclusion is allowed
+  if (CONFIGTABLE)
+    target_compile_definitions(CMSISDSPTransform PUBLIC ARM_FFT_ALLOW_TABLES)
+  endif()
+  target_link_libraries(CMSISDSP INTERFACE CMSISDSPTransform)
+endif()
+
+if (FILTERING OR CONTROLLER OR FASTMATH OR TRANSFORM)
+  add_subdirectory(CommonTables)
+  if (TRANSFORM)
+    # FFT tables inclusion is allowed
+    if (CONFIGTABLE)
+      target_compile_definitions(CMSISDSPCommon PUBLIC ARM_FFT_ALLOW_TABLES) 
+    endif()
+  endif()
+  if (FILTERING OR CONTROLLER OR FASTMATH)
+    # Select which tables to include
+    if (CONFIGTABLE)
+      target_compile_definitions(CMSISDSPCommon PUBLIC ARM_FAST_ALLOW_TABLES) 
+    endif()
+  endif()
+  target_link_libraries(CMSISDSP INTERFACE CMSISDSPCommon)
+endif()
+
+### Includes
+target_include_directories(CMSISDSP INTERFACE "${DSP}/../Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/CommonTables/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/CommonTables/CMakeLists.txt
new file mode 100644
index 0000000..130b4a0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/CommonTables/CMakeLists.txt
@@ -0,0 +1,31 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPCommon)
+
+
+
+add_library(CMSISDSPCommon STATIC arm_common_tables.c)
+
+if (CONFIGTABLE AND ALLFFT)
+    target_compile_definitions(CMSISDSPCommon PUBLIC ARM_ALL_FFT_TABLES) 
+endif()
+
+if (CONFIGTABLE AND ALLFAST)
+    target_compile_definitions(CMSISDSPCommon PUBLIC ARM_ALL_FAST_TABLES) 
+endif()
+
+include(fft)
+fft(CMSISDSPCommon)
+
+include(interpol)
+interpol(CMSISDSPCommon)
+
+target_sources(CMSISDSPCommon PRIVATE arm_const_structs.c)
+
+configdsp(CMSISDSPCommon ..)
+
+### Includes
+target_include_directories(CMSISDSPCommon PUBLIC "${DSP}/../../Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/CommonTables/CommonTables.c b/Drivers/CMSIS/DSP/Source/CommonTables/CommonTables.c
new file mode 100644
index 0000000..02ea6b0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/CommonTables/CommonTables.c
@@ -0,0 +1,31 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        CommonTables.c
+ * Description:  Combination of all common table source files.
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_common_tables.c"
+#include "arm_const_structs.c"
+
diff --git a/Drivers/CMSIS/DSP/Source/CommonTables/arm_common_tables.c b/Drivers/CMSIS/DSP/Source/CommonTables/arm_common_tables.c
new file mode 100644
index 0000000..1b80c19
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/CommonTables/arm_common_tables.c
@@ -0,0 +1,57215 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_common_tables.c
+ * Description:  common tables like fft twiddle factors, Bitreverse, reciprocal etc
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup ComplexFFT
+ */
+
+/**
+  @addtogroup CFFT_CIFFT Complex FFT Tables
+  @{
+ */
+
+/**
+  @par
+  Pseudo code for Generation of Bit reversal Table is
+  @par
+  <pre>for (l = 1; l <= N/4; l++)
+  {
+    for (i = 0; i< logN2; i++)
+    {
+      a[i] = l & (1 << i);
+    }
+    for (j = 0; j < logN2; j++)
+    {
+      if (a[j] != 0)
+      y[l] += (1 << ((logN2 - 1) - j));
+    }
+    y[l] = y[l] >> 1;
+   } </pre>
+  @par
+  where N = 4096, logN2 = 12
+  @par
+  N is the maximum FFT Size supported
+*/
+
+/**
+  @brief  Table for bit reversal process
+*/
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREV_1024)
+const uint16_t armBitRevTable[1024] = {
+   0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x080, 0x480, 0x280,
+   0x680, 0x180, 0x580, 0x380, 0x780, 0x040, 0x440, 0x240, 0x640, 0x140,
+   0x540, 0x340, 0x740, 0x0c0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0,
+   0x7c0, 0x020, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0x0a0,
+   0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x060, 0x460, 0x260,
+   0x660, 0x160, 0x560, 0x360, 0x760, 0x0e0, 0x4e0, 0x2e0, 0x6e0, 0x1e0,
+   0x5e0, 0x3e0, 0x7e0, 0x010, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310,
+   0x710, 0x090, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x050,
+   0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0x0d0, 0x4d0, 0x2d0,
+   0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x030, 0x430, 0x230, 0x630, 0x130,
+   0x530, 0x330, 0x730, 0x0b0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0,
+   0x7b0, 0x070, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0x0f0,
+   0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x008, 0x408, 0x208,
+   0x608, 0x108, 0x508, 0x308, 0x708, 0x088, 0x488, 0x288, 0x688, 0x188,
+   0x588, 0x388, 0x788, 0x048, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348,
+   0x748, 0x0c8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x028,
+   0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0x0a8, 0x4a8, 0x2a8,
+   0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x068, 0x468, 0x268, 0x668, 0x168,
+   0x568, 0x368, 0x768, 0x0e8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8,
+   0x7e8, 0x018, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x098,
+   0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x058, 0x458, 0x258,
+   0x658, 0x158, 0x558, 0x358, 0x758, 0x0d8, 0x4d8, 0x2d8, 0x6d8, 0x1d8,
+   0x5d8, 0x3d8, 0x7d8, 0x038, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338,
+   0x738, 0x0b8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x078,
+   0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0x0f8, 0x4f8, 0x2f8,
+   0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x004, 0x404, 0x204, 0x604, 0x104,
+   0x504, 0x304, 0x704, 0x084, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384,
+   0x784, 0x044, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0x0c4,
+   0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x024, 0x424, 0x224,
+   0x624, 0x124, 0x524, 0x324, 0x724, 0x0a4, 0x4a4, 0x2a4, 0x6a4, 0x1a4,
+   0x5a4, 0x3a4, 0x7a4, 0x064, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364,
+   0x764, 0x0e4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x014,
+   0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x094, 0x494, 0x294,
+   0x694, 0x194, 0x594, 0x394, 0x794, 0x054, 0x454, 0x254, 0x654, 0x154,
+   0x554, 0x354, 0x754, 0x0d4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4,
+   0x7d4, 0x034, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0x0b4,
+   0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x074, 0x474, 0x274,
+   0x674, 0x174, 0x574, 0x374, 0x774, 0x0f4, 0x4f4, 0x2f4, 0x6f4, 0x1f4,
+   0x5f4, 0x3f4, 0x7f4, 0x00c, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c,
+   0x70c, 0x08c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x04c,
+   0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, 0x74c, 0x0cc, 0x4cc, 0x2cc,
+   0x6cc, 0x1cc, 0x5cc, 0x3cc, 0x7cc, 0x02c, 0x42c, 0x22c, 0x62c, 0x12c,
+   0x52c, 0x32c, 0x72c, 0x0ac, 0x4ac, 0x2ac, 0x6ac, 0x1ac, 0x5ac, 0x3ac,
+   0x7ac, 0x06c, 0x46c, 0x26c, 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0x0ec,
+   0x4ec, 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x01c, 0x41c, 0x21c,
+   0x61c, 0x11c, 0x51c, 0x31c, 0x71c, 0x09c, 0x49c, 0x29c, 0x69c, 0x19c,
+   0x59c, 0x39c, 0x79c, 0x05c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, 0x35c,
+   0x75c, 0x0dc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, 0x5dc, 0x3dc, 0x7dc, 0x03c,
+   0x43c, 0x23c, 0x63c, 0x13c, 0x53c, 0x33c, 0x73c, 0x0bc, 0x4bc, 0x2bc,
+   0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x07c, 0x47c, 0x27c, 0x67c, 0x17c,
+   0x57c, 0x37c, 0x77c, 0x0fc, 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc,
+   0x7fc, 0x002, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, 0x702, 0x082,
+   0x482, 0x282, 0x682, 0x182, 0x582, 0x382, 0x782, 0x042, 0x442, 0x242,
+   0x642, 0x142, 0x542, 0x342, 0x742, 0x0c2, 0x4c2, 0x2c2, 0x6c2, 0x1c2,
+   0x5c2, 0x3c2, 0x7c2, 0x022, 0x422, 0x222, 0x622, 0x122, 0x522, 0x322,
+   0x722, 0x0a2, 0x4a2, 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x062,
+   0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, 0x0e2, 0x4e2, 0x2e2,
+   0x6e2, 0x1e2, 0x5e2, 0x3e2, 0x7e2, 0x012, 0x412, 0x212, 0x612, 0x112,
+   0x512, 0x312, 0x712, 0x092, 0x492, 0x292, 0x692, 0x192, 0x592, 0x392,
+   0x792, 0x052, 0x452, 0x252, 0x652, 0x152, 0x552, 0x352, 0x752, 0x0d2,
+   0x4d2, 0x2d2, 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x032, 0x432, 0x232,
+   0x632, 0x132, 0x532, 0x332, 0x732, 0x0b2, 0x4b2, 0x2b2, 0x6b2, 0x1b2,
+   0x5b2, 0x3b2, 0x7b2, 0x072, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372,
+   0x772, 0x0f2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, 0x3f2, 0x7f2, 0x00a,
+   0x40a, 0x20a, 0x60a, 0x10a, 0x50a, 0x30a, 0x70a, 0x08a, 0x48a, 0x28a,
+   0x68a, 0x18a, 0x58a, 0x38a, 0x78a, 0x04a, 0x44a, 0x24a, 0x64a, 0x14a,
+   0x54a, 0x34a, 0x74a, 0x0ca, 0x4ca, 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca,
+   0x7ca, 0x02a, 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, 0x0aa,
+   0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, 0x7aa, 0x06a, 0x46a, 0x26a,
+   0x66a, 0x16a, 0x56a, 0x36a, 0x76a, 0x0ea, 0x4ea, 0x2ea, 0x6ea, 0x1ea,
+   0x5ea, 0x3ea, 0x7ea, 0x01a, 0x41a, 0x21a, 0x61a, 0x11a, 0x51a, 0x31a,
+   0x71a, 0x09a, 0x49a, 0x29a, 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a,
+   0x45a, 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0x0da, 0x4da, 0x2da,
+   0x6da, 0x1da, 0x5da, 0x3da, 0x7da, 0x03a, 0x43a, 0x23a, 0x63a, 0x13a,
+   0x53a, 0x33a, 0x73a, 0x0ba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, 0x3ba,
+   0x7ba, 0x07a, 0x47a, 0x27a, 0x67a, 0x17a, 0x57a, 0x37a, 0x77a, 0x0fa,
+   0x4fa, 0x2fa, 0x6fa, 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x006, 0x406, 0x206,
+   0x606, 0x106, 0x506, 0x306, 0x706, 0x086, 0x486, 0x286, 0x686, 0x186,
+   0x586, 0x386, 0x786, 0x046, 0x446, 0x246, 0x646, 0x146, 0x546, 0x346,
+   0x746, 0x0c6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, 0x7c6, 0x026,
+   0x426, 0x226, 0x626, 0x126, 0x526, 0x326, 0x726, 0x0a6, 0x4a6, 0x2a6,
+   0x6a6, 0x1a6, 0x5a6, 0x3a6, 0x7a6, 0x066, 0x466, 0x266, 0x666, 0x166,
+   0x566, 0x366, 0x766, 0x0e6, 0x4e6, 0x2e6, 0x6e6, 0x1e6, 0x5e6, 0x3e6,
+   0x7e6, 0x016, 0x416, 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x096,
+   0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, 0x056, 0x456, 0x256,
+   0x656, 0x156, 0x556, 0x356, 0x756, 0x0d6, 0x4d6, 0x2d6, 0x6d6, 0x1d6,
+   0x5d6, 0x3d6, 0x7d6, 0x036, 0x436, 0x236, 0x636, 0x136, 0x536, 0x336,
+   0x736, 0x0b6, 0x4b6, 0x2b6, 0x6b6, 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x076,
+   0x476, 0x276, 0x676, 0x176, 0x576, 0x376, 0x776, 0x0f6, 0x4f6, 0x2f6,
+   0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0x00e, 0x40e, 0x20e, 0x60e, 0x10e,
+   0x50e, 0x30e, 0x70e, 0x08e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e,
+   0x78e, 0x04e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, 0x34e, 0x74e, 0x0ce,
+   0x4ce, 0x2ce, 0x6ce, 0x1ce, 0x5ce, 0x3ce, 0x7ce, 0x02e, 0x42e, 0x22e,
+   0x62e, 0x12e, 0x52e, 0x32e, 0x72e, 0x0ae, 0x4ae, 0x2ae, 0x6ae, 0x1ae,
+   0x5ae, 0x3ae, 0x7ae, 0x06e, 0x46e, 0x26e, 0x66e, 0x16e, 0x56e, 0x36e,
+   0x76e, 0x0ee, 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, 0x01e,
+   0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x09e, 0x49e, 0x29e,
+   0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x05e, 0x45e, 0x25e, 0x65e, 0x15e,
+   0x55e, 0x35e, 0x75e, 0x0de, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de,
+   0x7de, 0x03e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0x0be,
+   0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x07e, 0x47e, 0x27e,
+   0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0x0fe, 0x4fe, 0x2fe, 0x6fe, 0x1fe,
+   0x5fe, 0x3fe, 0x7fe, 0x001
+};
+#endif
+/**
+  @brief  Floating-point Twiddle factors Table Generation
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_16)
+/**
+  @par
+  Example code for Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i < N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 16, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_16[32] = {
+    1.000000000f,  0.000000000f,
+    0.923879533f,  0.382683432f,
+    0.707106781f,  0.707106781f,
+    0.382683432f,  0.923879533f,
+    0.000000000f,  1.000000000f,
+   -0.382683432f,  0.923879533f,
+   -0.707106781f,  0.707106781f,
+   -0.923879533f,  0.382683432f,
+   -1.000000000f,  0.000000000f,
+   -0.923879533f, -0.382683432f,
+   -0.707106781f, -0.707106781f,
+   -0.382683432f, -0.923879533f,
+   -0.000000000f, -1.000000000f,
+    0.382683432f, -0.923879533f,
+    0.707106781f, -0.707106781f,
+    0.923879533f, -0.382683432f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_32)
+
+/**
+  @par
+  Example code for Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 32, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_32[64] = {
+    1.000000000f,  0.000000000f,
+    0.980785280f,  0.195090322f,
+    0.923879533f,  0.382683432f,
+    0.831469612f,  0.555570233f,
+    0.707106781f,  0.707106781f,
+    0.555570233f,  0.831469612f,
+    0.382683432f,  0.923879533f,
+    0.195090322f,  0.980785280f,
+    0.000000000f,  1.000000000f,
+   -0.195090322f,  0.980785280f,
+   -0.382683432f,  0.923879533f,
+   -0.555570233f,  0.831469612f,
+   -0.707106781f,  0.707106781f,
+   -0.831469612f,  0.555570233f,
+   -0.923879533f,  0.382683432f,
+   -0.980785280f,  0.195090322f,
+   -1.000000000f,  0.000000000f,
+   -0.980785280f, -0.195090322f,
+   -0.923879533f, -0.382683432f,
+   -0.831469612f, -0.555570233f,
+   -0.707106781f, -0.707106781f,
+   -0.555570233f, -0.831469612f,
+   -0.382683432f, -0.923879533f,
+   -0.195090322f, -0.980785280f,
+   -0.000000000f, -1.000000000f,
+    0.195090322f, -0.980785280f,
+    0.382683432f, -0.923879533f,
+    0.555570233f, -0.831469612f,
+    0.707106781f, -0.707106781f,
+    0.831469612f, -0.555570233f,
+    0.923879533f, -0.382683432f,
+    0.980785280f, -0.195090322f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_64)
+/**
+  @par
+  Example code for Floating-point Twiddle factors Generation:
+  @par
+  <pre>for(i = 0; i < N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 64, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_64[128] = {
+    1.000000000f,  0.000000000f,
+    0.995184727f,  0.098017140f,
+    0.980785280f,  0.195090322f,
+    0.956940336f,  0.290284677f,
+    0.923879533f,  0.382683432f,
+    0.881921264f,  0.471396737f,
+    0.831469612f,  0.555570233f,
+    0.773010453f,  0.634393284f,
+    0.707106781f,  0.707106781f,
+    0.634393284f,  0.773010453f,
+    0.555570233f,  0.831469612f,
+    0.471396737f,  0.881921264f,
+    0.382683432f,  0.923879533f,
+    0.290284677f,  0.956940336f,
+    0.195090322f,  0.980785280f,
+    0.098017140f,  0.995184727f,
+    0.000000000f,  1.000000000f,
+   -0.098017140f,  0.995184727f,
+   -0.195090322f,  0.980785280f,
+   -0.290284677f,  0.956940336f,
+   -0.382683432f,  0.923879533f,
+   -0.471396737f,  0.881921264f,
+   -0.555570233f,  0.831469612f,
+   -0.634393284f,  0.773010453f,
+   -0.707106781f,  0.707106781f,
+   -0.773010453f,  0.634393284f,
+   -0.831469612f,  0.555570233f,
+   -0.881921264f,  0.471396737f,
+   -0.923879533f,  0.382683432f,
+   -0.956940336f,  0.290284677f,
+   -0.980785280f,  0.195090322f,
+   -0.995184727f,  0.098017140f,
+   -1.000000000f,  0.000000000f,
+   -0.995184727f, -0.098017140f,
+   -0.980785280f, -0.195090322f,
+   -0.956940336f, -0.290284677f,
+   -0.923879533f, -0.382683432f,
+   -0.881921264f, -0.471396737f,
+   -0.831469612f, -0.555570233f,
+   -0.773010453f, -0.634393284f,
+   -0.707106781f, -0.707106781f,
+   -0.634393284f, -0.773010453f,
+   -0.555570233f, -0.831469612f,
+   -0.471396737f, -0.881921264f,
+   -0.382683432f, -0.923879533f,
+   -0.290284677f, -0.956940336f,
+   -0.195090322f, -0.980785280f,
+   -0.098017140f, -0.995184727f,
+   -0.000000000f, -1.000000000f,
+    0.098017140f, -0.995184727f,
+    0.195090322f, -0.980785280f,
+    0.290284677f, -0.956940336f,
+    0.382683432f, -0.923879533f,
+    0.471396737f, -0.881921264f,
+    0.555570233f, -0.831469612f,
+    0.634393284f, -0.773010453f,
+    0.707106781f, -0.707106781f,
+    0.773010453f, -0.634393284f,
+    0.831469612f, -0.555570233f,
+    0.881921264f, -0.471396737f,
+    0.923879533f, -0.382683432f,
+    0.956940336f, -0.290284677f,
+    0.980785280f, -0.195090322f,
+    0.995184727f, -0.098017140f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_128)
+/**
+  @par
+  Example code for Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 128, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_128[256] = {
+    1.000000000f,  0.000000000f,
+    0.998795456f,  0.049067674f,
+    0.995184727f,  0.098017140f,
+    0.989176510f,  0.146730474f,
+    0.980785280f,  0.195090322f,
+    0.970031253f,  0.242980180f,
+    0.956940336f,  0.290284677f,
+    0.941544065f,  0.336889853f,
+    0.923879533f,  0.382683432f,
+    0.903989293f,  0.427555093f,
+    0.881921264f,  0.471396737f,
+    0.857728610f,  0.514102744f,
+    0.831469612f,  0.555570233f,
+    0.803207531f,  0.595699304f,
+    0.773010453f,  0.634393284f,
+    0.740951125f,  0.671558955f,
+    0.707106781f,  0.707106781f,
+    0.671558955f,  0.740951125f,
+    0.634393284f,  0.773010453f,
+    0.595699304f,  0.803207531f,
+    0.555570233f,  0.831469612f,
+    0.514102744f,  0.857728610f,
+    0.471396737f,  0.881921264f,
+    0.427555093f,  0.903989293f,
+    0.382683432f,  0.923879533f,
+    0.336889853f,  0.941544065f,
+    0.290284677f,  0.956940336f,
+    0.242980180f,  0.970031253f,
+    0.195090322f,  0.980785280f,
+    0.146730474f,  0.989176510f,
+    0.098017140f,  0.995184727f,
+    0.049067674f,  0.998795456f,
+    0.000000000f,  1.000000000f,
+   -0.049067674f,  0.998795456f,
+   -0.098017140f,  0.995184727f,
+   -0.146730474f,  0.989176510f,
+   -0.195090322f,  0.980785280f,
+   -0.242980180f,  0.970031253f,
+   -0.290284677f,  0.956940336f,
+   -0.336889853f,  0.941544065f,
+   -0.382683432f,  0.923879533f,
+   -0.427555093f,  0.903989293f,
+   -0.471396737f,  0.881921264f,
+   -0.514102744f,  0.857728610f,
+   -0.555570233f,  0.831469612f,
+   -0.595699304f,  0.803207531f,
+   -0.634393284f,  0.773010453f,
+   -0.671558955f,  0.740951125f,
+   -0.707106781f,  0.707106781f,
+   -0.740951125f,  0.671558955f,
+   -0.773010453f,  0.634393284f,
+   -0.803207531f,  0.595699304f,
+   -0.831469612f,  0.555570233f,
+   -0.857728610f,  0.514102744f,
+   -0.881921264f,  0.471396737f,
+   -0.903989293f,  0.427555093f,
+   -0.923879533f,  0.382683432f,
+   -0.941544065f,  0.336889853f,
+   -0.956940336f,  0.290284677f,
+   -0.970031253f,  0.242980180f,
+   -0.980785280f,  0.195090322f,
+   -0.989176510f,  0.146730474f,
+   -0.995184727f,  0.098017140f,
+   -0.998795456f,  0.049067674f,
+   -1.000000000f,  0.000000000f,
+   -0.998795456f, -0.049067674f,
+   -0.995184727f, -0.098017140f,
+   -0.989176510f, -0.146730474f,
+   -0.980785280f, -0.195090322f,
+   -0.970031253f, -0.242980180f,
+   -0.956940336f, -0.290284677f,
+   -0.941544065f, -0.336889853f,
+   -0.923879533f, -0.382683432f,
+   -0.903989293f, -0.427555093f,
+   -0.881921264f, -0.471396737f,
+   -0.857728610f, -0.514102744f,
+   -0.831469612f, -0.555570233f,
+   -0.803207531f, -0.595699304f,
+   -0.773010453f, -0.634393284f,
+   -0.740951125f, -0.671558955f,
+   -0.707106781f, -0.707106781f,
+   -0.671558955f, -0.740951125f,
+   -0.634393284f, -0.773010453f,
+   -0.595699304f, -0.803207531f,
+   -0.555570233f, -0.831469612f,
+   -0.514102744f, -0.857728610f,
+   -0.471396737f, -0.881921264f,
+   -0.427555093f, -0.903989293f,
+   -0.382683432f, -0.923879533f,
+   -0.336889853f, -0.941544065f,
+   -0.290284677f, -0.956940336f,
+   -0.242980180f, -0.970031253f,
+   -0.195090322f, -0.980785280f,
+   -0.146730474f, -0.989176510f,
+   -0.098017140f, -0.995184727f,
+   -0.049067674f, -0.998795456f,
+   -0.000000000f, -1.000000000f,
+    0.049067674f, -0.998795456f,
+    0.098017140f, -0.995184727f,
+    0.146730474f, -0.989176510f,
+    0.195090322f, -0.980785280f,
+    0.242980180f, -0.970031253f,
+    0.290284677f, -0.956940336f,
+    0.336889853f, -0.941544065f,
+    0.382683432f, -0.923879533f,
+    0.427555093f, -0.903989293f,
+    0.471396737f, -0.881921264f,
+    0.514102744f, -0.857728610f,
+    0.555570233f, -0.831469612f,
+    0.595699304f, -0.803207531f,
+    0.634393284f, -0.773010453f,
+    0.671558955f, -0.740951125f,
+    0.707106781f, -0.707106781f,
+    0.740951125f, -0.671558955f,
+    0.773010453f, -0.634393284f,
+    0.803207531f, -0.595699304f,
+    0.831469612f, -0.555570233f,
+    0.857728610f, -0.514102744f,
+    0.881921264f, -0.471396737f,
+    0.903989293f, -0.427555093f,
+    0.923879533f, -0.382683432f,
+    0.941544065f, -0.336889853f,
+    0.956940336f, -0.290284677f,
+    0.970031253f, -0.242980180f,
+    0.980785280f, -0.195090322f,
+    0.989176510f, -0.146730474f,
+    0.995184727f, -0.098017140f,
+    0.998795456f, -0.049067674f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_256)
+/**
+  @par
+  Example code for Floating-point Twiddle factors Generation:
+  @par
+  <pre>for(i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 256, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_256[512] = {
+    1.000000000f,  0.000000000f,
+    0.999698819f,  0.024541229f,
+    0.998795456f,  0.049067674f,
+    0.997290457f,  0.073564564f,
+    0.995184727f,  0.098017140f,
+    0.992479535f,  0.122410675f,
+    0.989176510f,  0.146730474f,
+    0.985277642f,  0.170961889f,
+    0.980785280f,  0.195090322f,
+    0.975702130f,  0.219101240f,
+    0.970031253f,  0.242980180f,
+    0.963776066f,  0.266712757f,
+    0.956940336f,  0.290284677f,
+    0.949528181f,  0.313681740f,
+    0.941544065f,  0.336889853f,
+    0.932992799f,  0.359895037f,
+    0.923879533f,  0.382683432f,
+    0.914209756f,  0.405241314f,
+    0.903989293f,  0.427555093f,
+    0.893224301f,  0.449611330f,
+    0.881921264f,  0.471396737f,
+    0.870086991f,  0.492898192f,
+    0.857728610f,  0.514102744f,
+    0.844853565f,  0.534997620f,
+    0.831469612f,  0.555570233f,
+    0.817584813f,  0.575808191f,
+    0.803207531f,  0.595699304f,
+    0.788346428f,  0.615231591f,
+    0.773010453f,  0.634393284f,
+    0.757208847f,  0.653172843f,
+    0.740951125f,  0.671558955f,
+    0.724247083f,  0.689540545f,
+    0.707106781f,  0.707106781f,
+    0.689540545f,  0.724247083f,
+    0.671558955f,  0.740951125f,
+    0.653172843f,  0.757208847f,
+    0.634393284f,  0.773010453f,
+    0.615231591f,  0.788346428f,
+    0.595699304f,  0.803207531f,
+    0.575808191f,  0.817584813f,
+    0.555570233f,  0.831469612f,
+    0.534997620f,  0.844853565f,
+    0.514102744f,  0.857728610f,
+    0.492898192f,  0.870086991f,
+    0.471396737f,  0.881921264f,
+    0.449611330f,  0.893224301f,
+    0.427555093f,  0.903989293f,
+    0.405241314f,  0.914209756f,
+    0.382683432f,  0.923879533f,
+    0.359895037f,  0.932992799f,
+    0.336889853f,  0.941544065f,
+    0.313681740f,  0.949528181f,
+    0.290284677f,  0.956940336f,
+    0.266712757f,  0.963776066f,
+    0.242980180f,  0.970031253f,
+    0.219101240f,  0.975702130f,
+    0.195090322f,  0.980785280f,
+    0.170961889f,  0.985277642f,
+    0.146730474f,  0.989176510f,
+    0.122410675f,  0.992479535f,
+    0.098017140f,  0.995184727f,
+    0.073564564f,  0.997290457f,
+    0.049067674f,  0.998795456f,
+    0.024541229f,  0.999698819f,
+    0.000000000f,  1.000000000f,
+   -0.024541229f,  0.999698819f,
+   -0.049067674f,  0.998795456f,
+   -0.073564564f,  0.997290457f,
+   -0.098017140f,  0.995184727f,
+   -0.122410675f,  0.992479535f,
+   -0.146730474f,  0.989176510f,
+   -0.170961889f,  0.985277642f,
+   -0.195090322f,  0.980785280f,
+   -0.219101240f,  0.975702130f,
+   -0.242980180f,  0.970031253f,
+   -0.266712757f,  0.963776066f,
+   -0.290284677f,  0.956940336f,
+   -0.313681740f,  0.949528181f,
+   -0.336889853f,  0.941544065f,
+   -0.359895037f,  0.932992799f,
+   -0.382683432f,  0.923879533f,
+   -0.405241314f,  0.914209756f,
+   -0.427555093f,  0.903989293f,
+   -0.449611330f,  0.893224301f,
+   -0.471396737f,  0.881921264f,
+   -0.492898192f,  0.870086991f,
+   -0.514102744f,  0.857728610f,
+   -0.534997620f,  0.844853565f,
+   -0.555570233f,  0.831469612f,
+   -0.575808191f,  0.817584813f,
+   -0.595699304f,  0.803207531f,
+   -0.615231591f,  0.788346428f,
+   -0.634393284f,  0.773010453f,
+   -0.653172843f,  0.757208847f,
+   -0.671558955f,  0.740951125f,
+   -0.689540545f,  0.724247083f,
+   -0.707106781f,  0.707106781f,
+   -0.724247083f,  0.689540545f,
+   -0.740951125f,  0.671558955f,
+   -0.757208847f,  0.653172843f,
+   -0.773010453f,  0.634393284f,
+   -0.788346428f,  0.615231591f,
+   -0.803207531f,  0.595699304f,
+   -0.817584813f,  0.575808191f,
+   -0.831469612f,  0.555570233f,
+   -0.844853565f,  0.534997620f,
+   -0.857728610f,  0.514102744f,
+   -0.870086991f,  0.492898192f,
+   -0.881921264f,  0.471396737f,
+   -0.893224301f,  0.449611330f,
+   -0.903989293f,  0.427555093f,
+   -0.914209756f,  0.405241314f,
+   -0.923879533f,  0.382683432f,
+   -0.932992799f,  0.359895037f,
+   -0.941544065f,  0.336889853f,
+   -0.949528181f,  0.313681740f,
+   -0.956940336f,  0.290284677f,
+   -0.963776066f,  0.266712757f,
+   -0.970031253f,  0.242980180f,
+   -0.975702130f,  0.219101240f,
+   -0.980785280f,  0.195090322f,
+   -0.985277642f,  0.170961889f,
+   -0.989176510f,  0.146730474f,
+   -0.992479535f,  0.122410675f,
+   -0.995184727f,  0.098017140f,
+   -0.997290457f,  0.073564564f,
+   -0.998795456f,  0.049067674f,
+   -0.999698819f,  0.024541229f,
+   -1.000000000f,  0.000000000f,
+   -0.999698819f, -0.024541229f,
+   -0.998795456f, -0.049067674f,
+   -0.997290457f, -0.073564564f,
+   -0.995184727f, -0.098017140f,
+   -0.992479535f, -0.122410675f,
+   -0.989176510f, -0.146730474f,
+   -0.985277642f, -0.170961889f,
+   -0.980785280f, -0.195090322f,
+   -0.975702130f, -0.219101240f,
+   -0.970031253f, -0.242980180f,
+   -0.963776066f, -0.266712757f,
+   -0.956940336f, -0.290284677f,
+   -0.949528181f, -0.313681740f,
+   -0.941544065f, -0.336889853f,
+   -0.932992799f, -0.359895037f,
+   -0.923879533f, -0.382683432f,
+   -0.914209756f, -0.405241314f,
+   -0.903989293f, -0.427555093f,
+   -0.893224301f, -0.449611330f,
+   -0.881921264f, -0.471396737f,
+   -0.870086991f, -0.492898192f,
+   -0.857728610f, -0.514102744f,
+   -0.844853565f, -0.534997620f,
+   -0.831469612f, -0.555570233f,
+   -0.817584813f, -0.575808191f,
+   -0.803207531f, -0.595699304f,
+   -0.788346428f, -0.615231591f,
+   -0.773010453f, -0.634393284f,
+   -0.757208847f, -0.653172843f,
+   -0.740951125f, -0.671558955f,
+   -0.724247083f, -0.689540545f,
+   -0.707106781f, -0.707106781f,
+   -0.689540545f, -0.724247083f,
+   -0.671558955f, -0.740951125f,
+   -0.653172843f, -0.757208847f,
+   -0.634393284f, -0.773010453f,
+   -0.615231591f, -0.788346428f,
+   -0.595699304f, -0.803207531f,
+   -0.575808191f, -0.817584813f,
+   -0.555570233f, -0.831469612f,
+   -0.534997620f, -0.844853565f,
+   -0.514102744f, -0.857728610f,
+   -0.492898192f, -0.870086991f,
+   -0.471396737f, -0.881921264f,
+   -0.449611330f, -0.893224301f,
+   -0.427555093f, -0.903989293f,
+   -0.405241314f, -0.914209756f,
+   -0.382683432f, -0.923879533f,
+   -0.359895037f, -0.932992799f,
+   -0.336889853f, -0.941544065f,
+   -0.313681740f, -0.949528181f,
+   -0.290284677f, -0.956940336f,
+   -0.266712757f, -0.963776066f,
+   -0.242980180f, -0.970031253f,
+   -0.219101240f, -0.975702130f,
+   -0.195090322f, -0.980785280f,
+   -0.170961889f, -0.985277642f,
+   -0.146730474f, -0.989176510f,
+   -0.122410675f, -0.992479535f,
+   -0.098017140f, -0.995184727f,
+   -0.073564564f, -0.997290457f,
+   -0.049067674f, -0.998795456f,
+   -0.024541229f, -0.999698819f,
+   -0.000000000f, -1.000000000f,
+    0.024541229f, -0.999698819f,
+    0.049067674f, -0.998795456f,
+    0.073564564f, -0.997290457f,
+    0.098017140f, -0.995184727f,
+    0.122410675f, -0.992479535f,
+    0.146730474f, -0.989176510f,
+    0.170961889f, -0.985277642f,
+    0.195090322f, -0.980785280f,
+    0.219101240f, -0.975702130f,
+    0.242980180f, -0.970031253f,
+    0.266712757f, -0.963776066f,
+    0.290284677f, -0.956940336f,
+    0.313681740f, -0.949528181f,
+    0.336889853f, -0.941544065f,
+    0.359895037f, -0.932992799f,
+    0.382683432f, -0.923879533f,
+    0.405241314f, -0.914209756f,
+    0.427555093f, -0.903989293f,
+    0.449611330f, -0.893224301f,
+    0.471396737f, -0.881921264f,
+    0.492898192f, -0.870086991f,
+    0.514102744f, -0.857728610f,
+    0.534997620f, -0.844853565f,
+    0.555570233f, -0.831469612f,
+    0.575808191f, -0.817584813f,
+    0.595699304f, -0.803207531f,
+    0.615231591f, -0.788346428f,
+    0.634393284f, -0.773010453f,
+    0.653172843f, -0.757208847f,
+    0.671558955f, -0.740951125f,
+    0.689540545f, -0.724247083f,
+    0.707106781f, -0.707106781f,
+    0.724247083f, -0.689540545f,
+    0.740951125f, -0.671558955f,
+    0.757208847f, -0.653172843f,
+    0.773010453f, -0.634393284f,
+    0.788346428f, -0.615231591f,
+    0.803207531f, -0.595699304f,
+    0.817584813f, -0.575808191f,
+    0.831469612f, -0.555570233f,
+    0.844853565f, -0.534997620f,
+    0.857728610f, -0.514102744f,
+    0.870086991f, -0.492898192f,
+    0.881921264f, -0.471396737f,
+    0.893224301f, -0.449611330f,
+    0.903989293f, -0.427555093f,
+    0.914209756f, -0.405241314f,
+    0.923879533f, -0.382683432f,
+    0.932992799f, -0.359895037f,
+    0.941544065f, -0.336889853f,
+    0.949528181f, -0.313681740f,
+    0.956940336f, -0.290284677f,
+    0.963776066f, -0.266712757f,
+    0.970031253f, -0.242980180f,
+    0.975702130f, -0.219101240f,
+    0.980785280f, -0.195090322f,
+    0.985277642f, -0.170961889f,
+    0.989176510f, -0.146730474f,
+    0.992479535f, -0.122410675f,
+    0.995184727f, -0.098017140f,
+    0.997290457f, -0.073564564f,
+    0.998795456f, -0.049067674f,
+    0.999698819f, -0.024541229f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_512)
+/**
+  @par
+  Example code for Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 512, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_512[1024] = {
+    1.000000000f,  0.000000000f,
+    0.999924702f,  0.012271538f,
+    0.999698819f,  0.024541229f,
+    0.999322385f,  0.036807223f,
+    0.998795456f,  0.049067674f,
+    0.998118113f,  0.061320736f,
+    0.997290457f,  0.073564564f,
+    0.996312612f,  0.085797312f,
+    0.995184727f,  0.098017140f,
+    0.993906970f,  0.110222207f,
+    0.992479535f,  0.122410675f,
+    0.990902635f,  0.134580709f,
+    0.989176510f,  0.146730474f,
+    0.987301418f,  0.158858143f,
+    0.985277642f,  0.170961889f,
+    0.983105487f,  0.183039888f,
+    0.980785280f,  0.195090322f,
+    0.978317371f,  0.207111376f,
+    0.975702130f,  0.219101240f,
+    0.972939952f,  0.231058108f,
+    0.970031253f,  0.242980180f,
+    0.966976471f,  0.254865660f,
+    0.963776066f,  0.266712757f,
+    0.960430519f,  0.278519689f,
+    0.956940336f,  0.290284677f,
+    0.953306040f,  0.302005949f,
+    0.949528181f,  0.313681740f,
+    0.945607325f,  0.325310292f,
+    0.941544065f,  0.336889853f,
+    0.937339012f,  0.348418680f,
+    0.932992799f,  0.359895037f,
+    0.928506080f,  0.371317194f,
+    0.923879533f,  0.382683432f,
+    0.919113852f,  0.393992040f,
+    0.914209756f,  0.405241314f,
+    0.909167983f,  0.416429560f,
+    0.903989293f,  0.427555093f,
+    0.898674466f,  0.438616239f,
+    0.893224301f,  0.449611330f,
+    0.887639620f,  0.460538711f,
+    0.881921264f,  0.471396737f,
+    0.876070094f,  0.482183772f,
+    0.870086991f,  0.492898192f,
+    0.863972856f,  0.503538384f,
+    0.857728610f,  0.514102744f,
+    0.851355193f,  0.524589683f,
+    0.844853565f,  0.534997620f,
+    0.838224706f,  0.545324988f,
+    0.831469612f,  0.555570233f,
+    0.824589303f,  0.565731811f,
+    0.817584813f,  0.575808191f,
+    0.810457198f,  0.585797857f,
+    0.803207531f,  0.595699304f,
+    0.795836905f,  0.605511041f,
+    0.788346428f,  0.615231591f,
+    0.780737229f,  0.624859488f,
+    0.773010453f,  0.634393284f,
+    0.765167266f,  0.643831543f,
+    0.757208847f,  0.653172843f,
+    0.749136395f,  0.662415778f,
+    0.740951125f,  0.671558955f,
+    0.732654272f,  0.680600998f,
+    0.724247083f,  0.689540545f,
+    0.715730825f,  0.698376249f,
+    0.707106781f,  0.707106781f,
+    0.698376249f,  0.715730825f,
+    0.689540545f,  0.724247083f,
+    0.680600998f,  0.732654272f,
+    0.671558955f,  0.740951125f,
+    0.662415778f,  0.749136395f,
+    0.653172843f,  0.757208847f,
+    0.643831543f,  0.765167266f,
+    0.634393284f,  0.773010453f,
+    0.624859488f,  0.780737229f,
+    0.615231591f,  0.788346428f,
+    0.605511041f,  0.795836905f,
+    0.595699304f,  0.803207531f,
+    0.585797857f,  0.810457198f,
+    0.575808191f,  0.817584813f,
+    0.565731811f,  0.824589303f,
+    0.555570233f,  0.831469612f,
+    0.545324988f,  0.838224706f,
+    0.534997620f,  0.844853565f,
+    0.524589683f,  0.851355193f,
+    0.514102744f,  0.857728610f,
+    0.503538384f,  0.863972856f,
+    0.492898192f,  0.870086991f,
+    0.482183772f,  0.876070094f,
+    0.471396737f,  0.881921264f,
+    0.460538711f,  0.887639620f,
+    0.449611330f,  0.893224301f,
+    0.438616239f,  0.898674466f,
+    0.427555093f,  0.903989293f,
+    0.416429560f,  0.909167983f,
+    0.405241314f,  0.914209756f,
+    0.393992040f,  0.919113852f,
+    0.382683432f,  0.923879533f,
+    0.371317194f,  0.928506080f,
+    0.359895037f,  0.932992799f,
+    0.348418680f,  0.937339012f,
+    0.336889853f,  0.941544065f,
+    0.325310292f,  0.945607325f,
+    0.313681740f,  0.949528181f,
+    0.302005949f,  0.953306040f,
+    0.290284677f,  0.956940336f,
+    0.278519689f,  0.960430519f,
+    0.266712757f,  0.963776066f,
+    0.254865660f,  0.966976471f,
+    0.242980180f,  0.970031253f,
+    0.231058108f,  0.972939952f,
+    0.219101240f,  0.975702130f,
+    0.207111376f,  0.978317371f,
+    0.195090322f,  0.980785280f,
+    0.183039888f,  0.983105487f,
+    0.170961889f,  0.985277642f,
+    0.158858143f,  0.987301418f,
+    0.146730474f,  0.989176510f,
+    0.134580709f,  0.990902635f,
+    0.122410675f,  0.992479535f,
+    0.110222207f,  0.993906970f,
+    0.098017140f,  0.995184727f,
+    0.085797312f,  0.996312612f,
+    0.073564564f,  0.997290457f,
+    0.061320736f,  0.998118113f,
+    0.049067674f,  0.998795456f,
+    0.036807223f,  0.999322385f,
+    0.024541229f,  0.999698819f,
+    0.012271538f,  0.999924702f,
+    0.000000000f,  1.000000000f,
+   -0.012271538f,  0.999924702f,
+   -0.024541229f,  0.999698819f,
+   -0.036807223f,  0.999322385f,
+   -0.049067674f,  0.998795456f,
+   -0.061320736f,  0.998118113f,
+   -0.073564564f,  0.997290457f,
+   -0.085797312f,  0.996312612f,
+   -0.098017140f,  0.995184727f,
+   -0.110222207f,  0.993906970f,
+   -0.122410675f,  0.992479535f,
+   -0.134580709f,  0.990902635f,
+   -0.146730474f,  0.989176510f,
+   -0.158858143f,  0.987301418f,
+   -0.170961889f,  0.985277642f,
+   -0.183039888f,  0.983105487f,
+   -0.195090322f,  0.980785280f,
+   -0.207111376f,  0.978317371f,
+   -0.219101240f,  0.975702130f,
+   -0.231058108f,  0.972939952f,
+   -0.242980180f,  0.970031253f,
+   -0.254865660f,  0.966976471f,
+   -0.266712757f,  0.963776066f,
+   -0.278519689f,  0.960430519f,
+   -0.290284677f,  0.956940336f,
+   -0.302005949f,  0.953306040f,
+   -0.313681740f,  0.949528181f,
+   -0.325310292f,  0.945607325f,
+   -0.336889853f,  0.941544065f,
+   -0.348418680f,  0.937339012f,
+   -0.359895037f,  0.932992799f,
+   -0.371317194f,  0.928506080f,
+   -0.382683432f,  0.923879533f,
+   -0.393992040f,  0.919113852f,
+   -0.405241314f,  0.914209756f,
+   -0.416429560f,  0.909167983f,
+   -0.427555093f,  0.903989293f,
+   -0.438616239f,  0.898674466f,
+   -0.449611330f,  0.893224301f,
+   -0.460538711f,  0.887639620f,
+   -0.471396737f,  0.881921264f,
+   -0.482183772f,  0.876070094f,
+   -0.492898192f,  0.870086991f,
+   -0.503538384f,  0.863972856f,
+   -0.514102744f,  0.857728610f,
+   -0.524589683f,  0.851355193f,
+   -0.534997620f,  0.844853565f,
+   -0.545324988f,  0.838224706f,
+   -0.555570233f,  0.831469612f,
+   -0.565731811f,  0.824589303f,
+   -0.575808191f,  0.817584813f,
+   -0.585797857f,  0.810457198f,
+   -0.595699304f,  0.803207531f,
+   -0.605511041f,  0.795836905f,
+   -0.615231591f,  0.788346428f,
+   -0.624859488f,  0.780737229f,
+   -0.634393284f,  0.773010453f,
+   -0.643831543f,  0.765167266f,
+   -0.653172843f,  0.757208847f,
+   -0.662415778f,  0.749136395f,
+   -0.671558955f,  0.740951125f,
+   -0.680600998f,  0.732654272f,
+   -0.689540545f,  0.724247083f,
+   -0.698376249f,  0.715730825f,
+   -0.707106781f,  0.707106781f,
+   -0.715730825f,  0.698376249f,
+   -0.724247083f,  0.689540545f,
+   -0.732654272f,  0.680600998f,
+   -0.740951125f,  0.671558955f,
+   -0.749136395f,  0.662415778f,
+   -0.757208847f,  0.653172843f,
+   -0.765167266f,  0.643831543f,
+   -0.773010453f,  0.634393284f,
+   -0.780737229f,  0.624859488f,
+   -0.788346428f,  0.615231591f,
+   -0.795836905f,  0.605511041f,
+   -0.803207531f,  0.595699304f,
+   -0.810457198f,  0.585797857f,
+   -0.817584813f,  0.575808191f,
+   -0.824589303f,  0.565731811f,
+   -0.831469612f,  0.555570233f,
+   -0.838224706f,  0.545324988f,
+   -0.844853565f,  0.534997620f,
+   -0.851355193f,  0.524589683f,
+   -0.857728610f,  0.514102744f,
+   -0.863972856f,  0.503538384f,
+   -0.870086991f,  0.492898192f,
+   -0.876070094f,  0.482183772f,
+   -0.881921264f,  0.471396737f,
+   -0.887639620f,  0.460538711f,
+   -0.893224301f,  0.449611330f,
+   -0.898674466f,  0.438616239f,
+   -0.903989293f,  0.427555093f,
+   -0.909167983f,  0.416429560f,
+   -0.914209756f,  0.405241314f,
+   -0.919113852f,  0.393992040f,
+   -0.923879533f,  0.382683432f,
+   -0.928506080f,  0.371317194f,
+   -0.932992799f,  0.359895037f,
+   -0.937339012f,  0.348418680f,
+   -0.941544065f,  0.336889853f,
+   -0.945607325f,  0.325310292f,
+   -0.949528181f,  0.313681740f,
+   -0.953306040f,  0.302005949f,
+   -0.956940336f,  0.290284677f,
+   -0.960430519f,  0.278519689f,
+   -0.963776066f,  0.266712757f,
+   -0.966976471f,  0.254865660f,
+   -0.970031253f,  0.242980180f,
+   -0.972939952f,  0.231058108f,
+   -0.975702130f,  0.219101240f,
+   -0.978317371f,  0.207111376f,
+   -0.980785280f,  0.195090322f,
+   -0.983105487f,  0.183039888f,
+   -0.985277642f,  0.170961889f,
+   -0.987301418f,  0.158858143f,
+   -0.989176510f,  0.146730474f,
+   -0.990902635f,  0.134580709f,
+   -0.992479535f,  0.122410675f,
+   -0.993906970f,  0.110222207f,
+   -0.995184727f,  0.098017140f,
+   -0.996312612f,  0.085797312f,
+   -0.997290457f,  0.073564564f,
+   -0.998118113f,  0.061320736f,
+   -0.998795456f,  0.049067674f,
+   -0.999322385f,  0.036807223f,
+   -0.999698819f,  0.024541229f,
+   -0.999924702f,  0.012271538f,
+   -1.000000000f,  0.000000000f,
+   -0.999924702f, -0.012271538f,
+   -0.999698819f, -0.024541229f,
+   -0.999322385f, -0.036807223f,
+   -0.998795456f, -0.049067674f,
+   -0.998118113f, -0.061320736f,
+   -0.997290457f, -0.073564564f,
+   -0.996312612f, -0.085797312f,
+   -0.995184727f, -0.098017140f,
+   -0.993906970f, -0.110222207f,
+   -0.992479535f, -0.122410675f,
+   -0.990902635f, -0.134580709f,
+   -0.989176510f, -0.146730474f,
+   -0.987301418f, -0.158858143f,
+   -0.985277642f, -0.170961889f,
+   -0.983105487f, -0.183039888f,
+   -0.980785280f, -0.195090322f,
+   -0.978317371f, -0.207111376f,
+   -0.975702130f, -0.219101240f,
+   -0.972939952f, -0.231058108f,
+   -0.970031253f, -0.242980180f,
+   -0.966976471f, -0.254865660f,
+   -0.963776066f, -0.266712757f,
+   -0.960430519f, -0.278519689f,
+   -0.956940336f, -0.290284677f,
+   -0.953306040f, -0.302005949f,
+   -0.949528181f, -0.313681740f,
+   -0.945607325f, -0.325310292f,
+   -0.941544065f, -0.336889853f,
+   -0.937339012f, -0.348418680f,
+   -0.932992799f, -0.359895037f,
+   -0.928506080f, -0.371317194f,
+   -0.923879533f, -0.382683432f,
+   -0.919113852f, -0.393992040f,
+   -0.914209756f, -0.405241314f,
+   -0.909167983f, -0.416429560f,
+   -0.903989293f, -0.427555093f,
+   -0.898674466f, -0.438616239f,
+   -0.893224301f, -0.449611330f,
+   -0.887639620f, -0.460538711f,
+   -0.881921264f, -0.471396737f,
+   -0.876070094f, -0.482183772f,
+   -0.870086991f, -0.492898192f,
+   -0.863972856f, -0.503538384f,
+   -0.857728610f, -0.514102744f,
+   -0.851355193f, -0.524589683f,
+   -0.844853565f, -0.534997620f,
+   -0.838224706f, -0.545324988f,
+   -0.831469612f, -0.555570233f,
+   -0.824589303f, -0.565731811f,
+   -0.817584813f, -0.575808191f,
+   -0.810457198f, -0.585797857f,
+   -0.803207531f, -0.595699304f,
+   -0.795836905f, -0.605511041f,
+   -0.788346428f, -0.615231591f,
+   -0.780737229f, -0.624859488f,
+   -0.773010453f, -0.634393284f,
+   -0.765167266f, -0.643831543f,
+   -0.757208847f, -0.653172843f,
+   -0.749136395f, -0.662415778f,
+   -0.740951125f, -0.671558955f,
+   -0.732654272f, -0.680600998f,
+   -0.724247083f, -0.689540545f,
+   -0.715730825f, -0.698376249f,
+   -0.707106781f, -0.707106781f,
+   -0.698376249f, -0.715730825f,
+   -0.689540545f, -0.724247083f,
+   -0.680600998f, -0.732654272f,
+   -0.671558955f, -0.740951125f,
+   -0.662415778f, -0.749136395f,
+   -0.653172843f, -0.757208847f,
+   -0.643831543f, -0.765167266f,
+   -0.634393284f, -0.773010453f,
+   -0.624859488f, -0.780737229f,
+   -0.615231591f, -0.788346428f,
+   -0.605511041f, -0.795836905f,
+   -0.595699304f, -0.803207531f,
+   -0.585797857f, -0.810457198f,
+   -0.575808191f, -0.817584813f,
+   -0.565731811f, -0.824589303f,
+   -0.555570233f, -0.831469612f,
+   -0.545324988f, -0.838224706f,
+   -0.534997620f, -0.844853565f,
+   -0.524589683f, -0.851355193f,
+   -0.514102744f, -0.857728610f,
+   -0.503538384f, -0.863972856f,
+   -0.492898192f, -0.870086991f,
+   -0.482183772f, -0.876070094f,
+   -0.471396737f, -0.881921264f,
+   -0.460538711f, -0.887639620f,
+   -0.449611330f, -0.893224301f,
+   -0.438616239f, -0.898674466f,
+   -0.427555093f, -0.903989293f,
+   -0.416429560f, -0.909167983f,
+   -0.405241314f, -0.914209756f,
+   -0.393992040f, -0.919113852f,
+   -0.382683432f, -0.923879533f,
+   -0.371317194f, -0.928506080f,
+   -0.359895037f, -0.932992799f,
+   -0.348418680f, -0.937339012f,
+   -0.336889853f, -0.941544065f,
+   -0.325310292f, -0.945607325f,
+   -0.313681740f, -0.949528181f,
+   -0.302005949f, -0.953306040f,
+   -0.290284677f, -0.956940336f,
+   -0.278519689f, -0.960430519f,
+   -0.266712757f, -0.963776066f,
+   -0.254865660f, -0.966976471f,
+   -0.242980180f, -0.970031253f,
+   -0.231058108f, -0.972939952f,
+   -0.219101240f, -0.975702130f,
+   -0.207111376f, -0.978317371f,
+   -0.195090322f, -0.980785280f,
+   -0.183039888f, -0.983105487f,
+   -0.170961889f, -0.985277642f,
+   -0.158858143f, -0.987301418f,
+   -0.146730474f, -0.989176510f,
+   -0.134580709f, -0.990902635f,
+   -0.122410675f, -0.992479535f,
+   -0.110222207f, -0.993906970f,
+   -0.098017140f, -0.995184727f,
+   -0.085797312f, -0.996312612f,
+   -0.073564564f, -0.997290457f,
+   -0.061320736f, -0.998118113f,
+   -0.049067674f, -0.998795456f,
+   -0.036807223f, -0.999322385f,
+   -0.024541229f, -0.999698819f,
+   -0.012271538f, -0.999924702f,
+   -0.000000000f, -1.000000000f,
+    0.012271538f, -0.999924702f,
+    0.024541229f, -0.999698819f,
+    0.036807223f, -0.999322385f,
+    0.049067674f, -0.998795456f,
+    0.061320736f, -0.998118113f,
+    0.073564564f, -0.997290457f,
+    0.085797312f, -0.996312612f,
+    0.098017140f, -0.995184727f,
+    0.110222207f, -0.993906970f,
+    0.122410675f, -0.992479535f,
+    0.134580709f, -0.990902635f,
+    0.146730474f, -0.989176510f,
+    0.158858143f, -0.987301418f,
+    0.170961889f, -0.985277642f,
+    0.183039888f, -0.983105487f,
+    0.195090322f, -0.980785280f,
+    0.207111376f, -0.978317371f,
+    0.219101240f, -0.975702130f,
+    0.231058108f, -0.972939952f,
+    0.242980180f, -0.970031253f,
+    0.254865660f, -0.966976471f,
+    0.266712757f, -0.963776066f,
+    0.278519689f, -0.960430519f,
+    0.290284677f, -0.956940336f,
+    0.302005949f, -0.953306040f,
+    0.313681740f, -0.949528181f,
+    0.325310292f, -0.945607325f,
+    0.336889853f, -0.941544065f,
+    0.348418680f, -0.937339012f,
+    0.359895037f, -0.932992799f,
+    0.371317194f, -0.928506080f,
+    0.382683432f, -0.923879533f,
+    0.393992040f, -0.919113852f,
+    0.405241314f, -0.914209756f,
+    0.416429560f, -0.909167983f,
+    0.427555093f, -0.903989293f,
+    0.438616239f, -0.898674466f,
+    0.449611330f, -0.893224301f,
+    0.460538711f, -0.887639620f,
+    0.471396737f, -0.881921264f,
+    0.482183772f, -0.876070094f,
+    0.492898192f, -0.870086991f,
+    0.503538384f, -0.863972856f,
+    0.514102744f, -0.857728610f,
+    0.524589683f, -0.851355193f,
+    0.534997620f, -0.844853565f,
+    0.545324988f, -0.838224706f,
+    0.555570233f, -0.831469612f,
+    0.565731811f, -0.824589303f,
+    0.575808191f, -0.817584813f,
+    0.585797857f, -0.810457198f,
+    0.595699304f, -0.803207531f,
+    0.605511041f, -0.795836905f,
+    0.615231591f, -0.788346428f,
+    0.624859488f, -0.780737229f,
+    0.634393284f, -0.773010453f,
+    0.643831543f, -0.765167266f,
+    0.653172843f, -0.757208847f,
+    0.662415778f, -0.749136395f,
+    0.671558955f, -0.740951125f,
+    0.680600998f, -0.732654272f,
+    0.689540545f, -0.724247083f,
+    0.698376249f, -0.715730825f,
+    0.707106781f, -0.707106781f,
+    0.715730825f, -0.698376249f,
+    0.724247083f, -0.689540545f,
+    0.732654272f, -0.680600998f,
+    0.740951125f, -0.671558955f,
+    0.749136395f, -0.662415778f,
+    0.757208847f, -0.653172843f,
+    0.765167266f, -0.643831543f,
+    0.773010453f, -0.634393284f,
+    0.780737229f, -0.624859488f,
+    0.788346428f, -0.615231591f,
+    0.795836905f, -0.605511041f,
+    0.803207531f, -0.595699304f,
+    0.810457198f, -0.585797857f,
+    0.817584813f, -0.575808191f,
+    0.824589303f, -0.565731811f,
+    0.831469612f, -0.555570233f,
+    0.838224706f, -0.545324988f,
+    0.844853565f, -0.534997620f,
+    0.851355193f, -0.524589683f,
+    0.857728610f, -0.514102744f,
+    0.863972856f, -0.503538384f,
+    0.870086991f, -0.492898192f,
+    0.876070094f, -0.482183772f,
+    0.881921264f, -0.471396737f,
+    0.887639620f, -0.460538711f,
+    0.893224301f, -0.449611330f,
+    0.898674466f, -0.438616239f,
+    0.903989293f, -0.427555093f,
+    0.909167983f, -0.416429560f,
+    0.914209756f, -0.405241314f,
+    0.919113852f, -0.393992040f,
+    0.923879533f, -0.382683432f,
+    0.928506080f, -0.371317194f,
+    0.932992799f, -0.359895037f,
+    0.937339012f, -0.348418680f,
+    0.941544065f, -0.336889853f,
+    0.945607325f, -0.325310292f,
+    0.949528181f, -0.313681740f,
+    0.953306040f, -0.302005949f,
+    0.956940336f, -0.290284677f,
+    0.960430519f, -0.278519689f,
+    0.963776066f, -0.266712757f,
+    0.966976471f, -0.254865660f,
+    0.970031253f, -0.242980180f,
+    0.972939952f, -0.231058108f,
+    0.975702130f, -0.219101240f,
+    0.978317371f, -0.207111376f,
+    0.980785280f, -0.195090322f,
+    0.983105487f, -0.183039888f,
+    0.985277642f, -0.170961889f,
+    0.987301418f, -0.158858143f,
+    0.989176510f, -0.146730474f,
+    0.990902635f, -0.134580709f,
+    0.992479535f, -0.122410675f,
+    0.993906970f, -0.110222207f,
+    0.995184727f, -0.098017140f,
+    0.996312612f, -0.085797312f,
+    0.997290457f, -0.073564564f,
+    0.998118113f, -0.061320736f,
+    0.998795456f, -0.049067674f,
+    0.999322385f, -0.036807223f,
+    0.999698819f, -0.024541229f,
+    0.999924702f, -0.012271538f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_1024)
+/**
+  @par
+  Example code for Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 1024, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_1024[2048] = {
+    1.000000000f,  0.000000000f,
+    0.999981175f,  0.006135885f,
+    0.999924702f,  0.012271538f,
+    0.999830582f,  0.018406730f,
+    0.999698819f,  0.024541229f,
+    0.999529418f,  0.030674803f,
+    0.999322385f,  0.036807223f,
+    0.999077728f,  0.042938257f,
+    0.998795456f,  0.049067674f,
+    0.998475581f,  0.055195244f,
+    0.998118113f,  0.061320736f,
+    0.997723067f,  0.067443920f,
+    0.997290457f,  0.073564564f,
+    0.996820299f,  0.079682438f,
+    0.996312612f,  0.085797312f,
+    0.995767414f,  0.091908956f,
+    0.995184727f,  0.098017140f,
+    0.994564571f,  0.104121634f,
+    0.993906970f,  0.110222207f,
+    0.993211949f,  0.116318631f,
+    0.992479535f,  0.122410675f,
+    0.991709754f,  0.128498111f,
+    0.990902635f,  0.134580709f,
+    0.990058210f,  0.140658239f,
+    0.989176510f,  0.146730474f,
+    0.988257568f,  0.152797185f,
+    0.987301418f,  0.158858143f,
+    0.986308097f,  0.164913120f,
+    0.985277642f,  0.170961889f,
+    0.984210092f,  0.177004220f,
+    0.983105487f,  0.183039888f,
+    0.981963869f,  0.189068664f,
+    0.980785280f,  0.195090322f,
+    0.979569766f,  0.201104635f,
+    0.978317371f,  0.207111376f,
+    0.977028143f,  0.213110320f,
+    0.975702130f,  0.219101240f,
+    0.974339383f,  0.225083911f,
+    0.972939952f,  0.231058108f,
+    0.971503891f,  0.237023606f,
+    0.970031253f,  0.242980180f,
+    0.968522094f,  0.248927606f,
+    0.966976471f,  0.254865660f,
+    0.965394442f,  0.260794118f,
+    0.963776066f,  0.266712757f,
+    0.962121404f,  0.272621355f,
+    0.960430519f,  0.278519689f,
+    0.958703475f,  0.284407537f,
+    0.956940336f,  0.290284677f,
+    0.955141168f,  0.296150888f,
+    0.953306040f,  0.302005949f,
+    0.951435021f,  0.307849640f,
+    0.949528181f,  0.313681740f,
+    0.947585591f,  0.319502031f,
+    0.945607325f,  0.325310292f,
+    0.943593458f,  0.331106306f,
+    0.941544065f,  0.336889853f,
+    0.939459224f,  0.342660717f,
+    0.937339012f,  0.348418680f,
+    0.935183510f,  0.354163525f,
+    0.932992799f,  0.359895037f,
+    0.930766961f,  0.365612998f,
+    0.928506080f,  0.371317194f,
+    0.926210242f,  0.377007410f,
+    0.923879533f,  0.382683432f,
+    0.921514039f,  0.388345047f,
+    0.919113852f,  0.393992040f,
+    0.916679060f,  0.399624200f,
+    0.914209756f,  0.405241314f,
+    0.911706032f,  0.410843171f,
+    0.909167983f,  0.416429560f,
+    0.906595705f,  0.422000271f,
+    0.903989293f,  0.427555093f,
+    0.901348847f,  0.433093819f,
+    0.898674466f,  0.438616239f,
+    0.895966250f,  0.444122145f,
+    0.893224301f,  0.449611330f,
+    0.890448723f,  0.455083587f,
+    0.887639620f,  0.460538711f,
+    0.884797098f,  0.465976496f,
+    0.881921264f,  0.471396737f,
+    0.879012226f,  0.476799230f,
+    0.876070094f,  0.482183772f,
+    0.873094978f,  0.487550160f,
+    0.870086991f,  0.492898192f,
+    0.867046246f,  0.498227667f,
+    0.863972856f,  0.503538384f,
+    0.860866939f,  0.508830143f,
+    0.857728610f,  0.514102744f,
+    0.854557988f,  0.519355990f,
+    0.851355193f,  0.524589683f,
+    0.848120345f,  0.529803625f,
+    0.844853565f,  0.534997620f,
+    0.841554977f,  0.540171473f,
+    0.838224706f,  0.545324988f,
+    0.834862875f,  0.550457973f,
+    0.831469612f,  0.555570233f,
+    0.828045045f,  0.560661576f,
+    0.824589303f,  0.565731811f,
+    0.821102515f,  0.570780746f,
+    0.817584813f,  0.575808191f,
+    0.814036330f,  0.580813958f,
+    0.810457198f,  0.585797857f,
+    0.806847554f,  0.590759702f,
+    0.803207531f,  0.595699304f,
+    0.799537269f,  0.600616479f,
+    0.795836905f,  0.605511041f,
+    0.792106577f,  0.610382806f,
+    0.788346428f,  0.615231591f,
+    0.784556597f,  0.620057212f,
+    0.780737229f,  0.624859488f,
+    0.776888466f,  0.629638239f,
+    0.773010453f,  0.634393284f,
+    0.769103338f,  0.639124445f,
+    0.765167266f,  0.643831543f,
+    0.761202385f,  0.648514401f,
+    0.757208847f,  0.653172843f,
+    0.753186799f,  0.657806693f,
+    0.749136395f,  0.662415778f,
+    0.745057785f,  0.666999922f,
+    0.740951125f,  0.671558955f,
+    0.736816569f,  0.676092704f,
+    0.732654272f,  0.680600998f,
+    0.728464390f,  0.685083668f,
+    0.724247083f,  0.689540545f,
+    0.720002508f,  0.693971461f,
+    0.715730825f,  0.698376249f,
+    0.711432196f,  0.702754744f,
+    0.707106781f,  0.707106781f,
+    0.702754744f,  0.711432196f,
+    0.698376249f,  0.715730825f,
+    0.693971461f,  0.720002508f,
+    0.689540545f,  0.724247083f,
+    0.685083668f,  0.728464390f,
+    0.680600998f,  0.732654272f,
+    0.676092704f,  0.736816569f,
+    0.671558955f,  0.740951125f,
+    0.666999922f,  0.745057785f,
+    0.662415778f,  0.749136395f,
+    0.657806693f,  0.753186799f,
+    0.653172843f,  0.757208847f,
+    0.648514401f,  0.761202385f,
+    0.643831543f,  0.765167266f,
+    0.639124445f,  0.769103338f,
+    0.634393284f,  0.773010453f,
+    0.629638239f,  0.776888466f,
+    0.624859488f,  0.780737229f,
+    0.620057212f,  0.784556597f,
+    0.615231591f,  0.788346428f,
+    0.610382806f,  0.792106577f,
+    0.605511041f,  0.795836905f,
+    0.600616479f,  0.799537269f,
+    0.595699304f,  0.803207531f,
+    0.590759702f,  0.806847554f,
+    0.585797857f,  0.810457198f,
+    0.580813958f,  0.814036330f,
+    0.575808191f,  0.817584813f,
+    0.570780746f,  0.821102515f,
+    0.565731811f,  0.824589303f,
+    0.560661576f,  0.828045045f,
+    0.555570233f,  0.831469612f,
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+    0.799537269f, -0.600616479f,
+    0.803207531f, -0.595699304f,
+    0.806847554f, -0.590759702f,
+    0.810457198f, -0.585797857f,
+    0.814036330f, -0.580813958f,
+    0.817584813f, -0.575808191f,
+    0.821102515f, -0.570780746f,
+    0.824589303f, -0.565731811f,
+    0.828045045f, -0.560661576f,
+    0.831469612f, -0.555570233f,
+    0.834862875f, -0.550457973f,
+    0.838224706f, -0.545324988f,
+    0.841554977f, -0.540171473f,
+    0.844853565f, -0.534997620f,
+    0.848120345f, -0.529803625f,
+    0.851355193f, -0.524589683f,
+    0.854557988f, -0.519355990f,
+    0.857728610f, -0.514102744f,
+    0.860866939f, -0.508830143f,
+    0.863972856f, -0.503538384f,
+    0.867046246f, -0.498227667f,
+    0.870086991f, -0.492898192f,
+    0.873094978f, -0.487550160f,
+    0.876070094f, -0.482183772f,
+    0.879012226f, -0.476799230f,
+    0.881921264f, -0.471396737f,
+    0.884797098f, -0.465976496f,
+    0.887639620f, -0.460538711f,
+    0.890448723f, -0.455083587f,
+    0.893224301f, -0.449611330f,
+    0.895966250f, -0.444122145f,
+    0.898674466f, -0.438616239f,
+    0.901348847f, -0.433093819f,
+    0.903989293f, -0.427555093f,
+    0.906595705f, -0.422000271f,
+    0.909167983f, -0.416429560f,
+    0.911706032f, -0.410843171f,
+    0.914209756f, -0.405241314f,
+    0.916679060f, -0.399624200f,
+    0.919113852f, -0.393992040f,
+    0.921514039f, -0.388345047f,
+    0.923879533f, -0.382683432f,
+    0.926210242f, -0.377007410f,
+    0.928506080f, -0.371317194f,
+    0.930766961f, -0.365612998f,
+    0.932992799f, -0.359895037f,
+    0.935183510f, -0.354163525f,
+    0.937339012f, -0.348418680f,
+    0.939459224f, -0.342660717f,
+    0.941544065f, -0.336889853f,
+    0.943593458f, -0.331106306f,
+    0.945607325f, -0.325310292f,
+    0.947585591f, -0.319502031f,
+    0.949528181f, -0.313681740f,
+    0.951435021f, -0.307849640f,
+    0.953306040f, -0.302005949f,
+    0.955141168f, -0.296150888f,
+    0.956940336f, -0.290284677f,
+    0.958703475f, -0.284407537f,
+    0.960430519f, -0.278519689f,
+    0.962121404f, -0.272621355f,
+    0.963776066f, -0.266712757f,
+    0.965394442f, -0.260794118f,
+    0.966976471f, -0.254865660f,
+    0.968522094f, -0.248927606f,
+    0.970031253f, -0.242980180f,
+    0.971503891f, -0.237023606f,
+    0.972939952f, -0.231058108f,
+    0.974339383f, -0.225083911f,
+    0.975702130f, -0.219101240f,
+    0.977028143f, -0.213110320f,
+    0.978317371f, -0.207111376f,
+    0.979569766f, -0.201104635f,
+    0.980785280f, -0.195090322f,
+    0.981963869f, -0.189068664f,
+    0.983105487f, -0.183039888f,
+    0.984210092f, -0.177004220f,
+    0.985277642f, -0.170961889f,
+    0.986308097f, -0.164913120f,
+    0.987301418f, -0.158858143f,
+    0.988257568f, -0.152797185f,
+    0.989176510f, -0.146730474f,
+    0.990058210f, -0.140658239f,
+    0.990902635f, -0.134580709f,
+    0.991709754f, -0.128498111f,
+    0.992479535f, -0.122410675f,
+    0.993211949f, -0.116318631f,
+    0.993906970f, -0.110222207f,
+    0.994564571f, -0.104121634f,
+    0.995184727f, -0.098017140f,
+    0.995767414f, -0.091908956f,
+    0.996312612f, -0.085797312f,
+    0.996820299f, -0.079682438f,
+    0.997290457f, -0.073564564f,
+    0.997723067f, -0.067443920f,
+    0.998118113f, -0.061320736f,
+    0.998475581f, -0.055195244f,
+    0.998795456f, -0.049067674f,
+    0.999077728f, -0.042938257f,
+    0.999322385f, -0.036807223f,
+    0.999529418f, -0.030674803f,
+    0.999698819f, -0.024541229f,
+    0.999830582f, -0.018406730f,
+    0.999924702f, -0.012271538f,
+    0.999981175f, -0.006135885f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_2048)
+/**
+  @par
+  Example code for Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 2048, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_2048[4096] = {
+    1.000000000f,  0.000000000f,
+    0.999995294f,  0.003067957f,
+    0.999981175f,  0.006135885f,
+    0.999957645f,  0.009203755f,
+    0.999924702f,  0.012271538f,
+    0.999882347f,  0.015339206f,
+    0.999830582f,  0.018406730f,
+    0.999769405f,  0.021474080f,
+    0.999698819f,  0.024541229f,
+    0.999618822f,  0.027608146f,
+    0.999529418f,  0.030674803f,
+    0.999430605f,  0.033741172f,
+    0.999322385f,  0.036807223f,
+    0.999204759f,  0.039872928f,
+    0.999077728f,  0.042938257f,
+    0.998941293f,  0.046003182f,
+    0.998795456f,  0.049067674f,
+    0.998640218f,  0.052131705f,
+    0.998475581f,  0.055195244f,
+    0.998301545f,  0.058258265f,
+    0.998118113f,  0.061320736f,
+    0.997925286f,  0.064382631f,
+    0.997723067f,  0.067443920f,
+    0.997511456f,  0.070504573f,
+    0.997290457f,  0.073564564f,
+    0.997060070f,  0.076623861f,
+    0.996820299f,  0.079682438f,
+    0.996571146f,  0.082740265f,
+    0.996312612f,  0.085797312f,
+    0.996044701f,  0.088853553f,
+    0.995767414f,  0.091908956f,
+    0.995480755f,  0.094963495f,
+    0.995184727f,  0.098017140f,
+    0.994879331f,  0.101069863f,
+    0.994564571f,  0.104121634f,
+    0.994240449f,  0.107172425f,
+    0.993906970f,  0.110222207f,
+    0.993564136f,  0.113270952f,
+    0.993211949f,  0.116318631f,
+    0.992850414f,  0.119365215f,
+    0.992479535f,  0.122410675f,
+    0.992099313f,  0.125454983f,
+    0.991709754f,  0.128498111f,
+    0.991310860f,  0.131540029f,
+    0.990902635f,  0.134580709f,
+    0.990485084f,  0.137620122f,
+    0.990058210f,  0.140658239f,
+    0.989622017f,  0.143695033f,
+    0.989176510f,  0.146730474f,
+    0.988721692f,  0.149764535f,
+    0.988257568f,  0.152797185f,
+    0.987784142f,  0.155828398f,
+    0.987301418f,  0.158858143f,
+    0.986809402f,  0.161886394f,
+    0.986308097f,  0.164913120f,
+    0.985797509f,  0.167938295f,
+    0.985277642f,  0.170961889f,
+    0.984748502f,  0.173983873f,
+    0.984210092f,  0.177004220f,
+    0.983662419f,  0.180022901f,
+    0.983105487f,  0.183039888f,
+    0.982539302f,  0.186055152f,
+    0.981963869f,  0.189068664f,
+    0.981379193f,  0.192080397f,
+    0.980785280f,  0.195090322f,
+    0.980182136f,  0.198098411f,
+    0.979569766f,  0.201104635f,
+    0.978948175f,  0.204108966f,
+    0.978317371f,  0.207111376f,
+    0.977677358f,  0.210111837f,
+    0.977028143f,  0.213110320f,
+    0.976369731f,  0.216106797f,
+    0.975702130f,  0.219101240f,
+    0.975025345f,  0.222093621f,
+    0.974339383f,  0.225083911f,
+    0.973644250f,  0.228072083f,
+    0.972939952f,  0.231058108f,
+    0.972226497f,  0.234041959f,
+    0.971503891f,  0.237023606f,
+    0.970772141f,  0.240003022f,
+    0.970031253f,  0.242980180f,
+    0.969281235f,  0.245955050f,
+    0.968522094f,  0.248927606f,
+    0.967753837f,  0.251897818f,
+    0.966976471f,  0.254865660f,
+    0.966190003f,  0.257831102f,
+    0.965394442f,  0.260794118f,
+    0.964589793f,  0.263754679f,
+    0.963776066f,  0.266712757f,
+    0.962953267f,  0.269668326f,
+    0.962121404f,  0.272621355f,
+    0.961280486f,  0.275571819f,
+    0.960430519f,  0.278519689f,
+    0.959571513f,  0.281464938f,
+    0.958703475f,  0.284407537f,
+    0.957826413f,  0.287347460f,
+    0.956940336f,  0.290284677f,
+    0.956045251f,  0.293219163f,
+    0.955141168f,  0.296150888f,
+    0.954228095f,  0.299079826f,
+    0.953306040f,  0.302005949f,
+    0.952375013f,  0.304929230f,
+    0.951435021f,  0.307849640f,
+    0.950486074f,  0.310767153f,
+    0.949528181f,  0.313681740f,
+    0.948561350f,  0.316593376f,
+    0.947585591f,  0.319502031f,
+    0.946600913f,  0.322407679f,
+    0.945607325f,  0.325310292f,
+    0.944604837f,  0.328209844f,
+    0.943593458f,  0.331106306f,
+    0.942573198f,  0.333999651f,
+    0.941544065f,  0.336889853f,
+    0.940506071f,  0.339776884f,
+    0.939459224f,  0.342660717f,
+    0.938403534f,  0.345541325f,
+    0.937339012f,  0.348418680f,
+    0.936265667f,  0.351292756f,
+    0.935183510f,  0.354163525f,
+    0.934092550f,  0.357030961f,
+    0.932992799f,  0.359895037f,
+    0.931884266f,  0.362755724f,
+    0.930766961f,  0.365612998f,
+    0.929640896f,  0.368466830f,
+    0.928506080f,  0.371317194f,
+    0.927362526f,  0.374164063f,
+    0.926210242f,  0.377007410f,
+    0.925049241f,  0.379847209f,
+    0.923879533f,  0.382683432f,
+    0.922701128f,  0.385516054f,
+    0.921514039f,  0.388345047f,
+    0.920318277f,  0.391170384f,
+    0.919113852f,  0.393992040f,
+    0.917900776f,  0.396809987f,
+    0.916679060f,  0.399624200f,
+    0.915448716f,  0.402434651f,
+    0.914209756f,  0.405241314f,
+    0.912962190f,  0.408044163f,
+    0.911706032f,  0.410843171f,
+    0.910441292f,  0.413638312f,
+    0.909167983f,  0.416429560f,
+    0.907886116f,  0.419216888f,
+    0.906595705f,  0.422000271f,
+    0.905296759f,  0.424779681f,
+    0.903989293f,  0.427555093f,
+    0.902673318f,  0.430326481f,
+    0.901348847f,  0.433093819f,
+    0.900015892f,  0.435857080f,
+    0.898674466f,  0.438616239f,
+    0.897324581f,  0.441371269f,
+    0.895966250f,  0.444122145f,
+    0.894599486f,  0.446868840f,
+    0.893224301f,  0.449611330f,
+    0.891840709f,  0.452349587f,
+    0.890448723f,  0.455083587f,
+    0.889048356f,  0.457813304f,
+    0.887639620f,  0.460538711f,
+    0.886222530f,  0.463259784f,
+    0.884797098f,  0.465976496f,
+    0.883363339f,  0.468688822f,
+    0.881921264f,  0.471396737f,
+    0.880470889f,  0.474100215f,
+    0.879012226f,  0.476799230f,
+    0.877545290f,  0.479493758f,
+    0.876070094f,  0.482183772f,
+    0.874586652f,  0.484869248f,
+    0.873094978f,  0.487550160f,
+    0.871595087f,  0.490226483f,
+    0.870086991f,  0.492898192f,
+    0.868570706f,  0.495565262f,
+    0.867046246f,  0.498227667f,
+    0.865513624f,  0.500885383f,
+    0.863972856f,  0.503538384f,
+    0.862423956f,  0.506186645f,
+    0.860866939f,  0.508830143f,
+    0.859301818f,  0.511468850f,
+    0.857728610f,  0.514102744f,
+    0.856147328f,  0.516731799f,
+    0.854557988f,  0.519355990f,
+    0.852960605f,  0.521975293f,
+    0.851355193f,  0.524589683f,
+    0.849741768f,  0.527199135f,
+    0.848120345f,  0.529803625f,
+    0.846490939f,  0.532403128f,
+    0.844853565f,  0.534997620f,
+    0.843208240f,  0.537587076f,
+    0.841554977f,  0.540171473f,
+    0.839893794f,  0.542750785f,
+    0.838224706f,  0.545324988f,
+    0.836547727f,  0.547894059f,
+    0.834862875f,  0.550457973f,
+    0.833170165f,  0.553016706f,
+    0.831469612f,  0.555570233f,
+    0.829761234f,  0.558118531f,
+    0.828045045f,  0.560661576f,
+    0.826321063f,  0.563199344f,
+    0.824589303f,  0.565731811f,
+    0.822849781f,  0.568258953f,
+    0.821102515f,  0.570780746f,
+    0.819347520f,  0.573297167f,
+    0.817584813f,  0.575808191f,
+    0.815814411f,  0.578313796f,
+    0.814036330f,  0.580813958f,
+    0.812250587f,  0.583308653f,
+    0.810457198f,  0.585797857f,
+    0.808656182f,  0.588281548f,
+    0.806847554f,  0.590759702f,
+    0.805031331f,  0.593232295f,
+    0.803207531f,  0.595699304f,
+    0.801376172f,  0.598160707f,
+    0.799537269f,  0.600616479f,
+    0.797690841f,  0.603066599f,
+    0.795836905f,  0.605511041f,
+    0.793975478f,  0.607949785f,
+    0.792106577f,  0.610382806f,
+    0.790230221f,  0.612810082f,
+    0.788346428f,  0.615231591f,
+    0.786455214f,  0.617647308f,
+    0.784556597f,  0.620057212f,
+    0.782650596f,  0.622461279f,
+    0.780737229f,  0.624859488f,
+    0.778816512f,  0.627251815f,
+    0.776888466f,  0.629638239f,
+    0.774953107f,  0.632018736f,
+    0.773010453f,  0.634393284f,
+    0.771060524f,  0.636761861f,
+    0.769103338f,  0.639124445f,
+    0.767138912f,  0.641481013f,
+    0.765167266f,  0.643831543f,
+    0.763188417f,  0.646176013f,
+    0.761202385f,  0.648514401f,
+    0.759209189f,  0.650846685f,
+    0.757208847f,  0.653172843f,
+    0.755201377f,  0.655492853f,
+    0.753186799f,  0.657806693f,
+    0.751165132f,  0.660114342f,
+    0.749136395f,  0.662415778f,
+    0.747100606f,  0.664710978f,
+    0.745057785f,  0.666999922f,
+    0.743007952f,  0.669282588f,
+    0.740951125f,  0.671558955f,
+    0.738887324f,  0.673829000f,
+    0.736816569f,  0.676092704f,
+    0.734738878f,  0.678350043f,
+    0.732654272f,  0.680600998f,
+    0.730562769f,  0.682845546f,
+    0.728464390f,  0.685083668f,
+    0.726359155f,  0.687315341f,
+    0.724247083f,  0.689540545f,
+    0.722128194f,  0.691759258f,
+    0.720002508f,  0.693971461f,
+    0.717870045f,  0.696177131f,
+    0.715730825f,  0.698376249f,
+    0.713584869f,  0.700568794f,
+    0.711432196f,  0.702754744f,
+    0.709272826f,  0.704934080f,
+    0.707106781f,  0.707106781f,
+    0.704934080f,  0.709272826f,
+    0.702754744f,  0.711432196f,
+    0.700568794f,  0.713584869f,
+    0.698376249f,  0.715730825f,
+    0.696177131f,  0.717870045f,
+    0.693971461f,  0.720002508f,
+    0.691759258f,  0.722128194f,
+    0.689540545f,  0.724247083f,
+    0.687315341f,  0.726359155f,
+    0.685083668f,  0.728464390f,
+    0.682845546f,  0.730562769f,
+    0.680600998f,  0.732654272f,
+    0.678350043f,  0.734738878f,
+    0.676092704f,  0.736816569f,
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+    0.702754744f, -0.711432196f,
+    0.704934080f, -0.709272826f,
+    0.707106781f, -0.707106781f,
+    0.709272826f, -0.704934080f,
+    0.711432196f, -0.702754744f,
+    0.713584869f, -0.700568794f,
+    0.715730825f, -0.698376249f,
+    0.717870045f, -0.696177131f,
+    0.720002508f, -0.693971461f,
+    0.722128194f, -0.691759258f,
+    0.724247083f, -0.689540545f,
+    0.726359155f, -0.687315341f,
+    0.728464390f, -0.685083668f,
+    0.730562769f, -0.682845546f,
+    0.732654272f, -0.680600998f,
+    0.734738878f, -0.678350043f,
+    0.736816569f, -0.676092704f,
+    0.738887324f, -0.673829000f,
+    0.740951125f, -0.671558955f,
+    0.743007952f, -0.669282588f,
+    0.745057785f, -0.666999922f,
+    0.747100606f, -0.664710978f,
+    0.749136395f, -0.662415778f,
+    0.751165132f, -0.660114342f,
+    0.753186799f, -0.657806693f,
+    0.755201377f, -0.655492853f,
+    0.757208847f, -0.653172843f,
+    0.759209189f, -0.650846685f,
+    0.761202385f, -0.648514401f,
+    0.763188417f, -0.646176013f,
+    0.765167266f, -0.643831543f,
+    0.767138912f, -0.641481013f,
+    0.769103338f, -0.639124445f,
+    0.771060524f, -0.636761861f,
+    0.773010453f, -0.634393284f,
+    0.774953107f, -0.632018736f,
+    0.776888466f, -0.629638239f,
+    0.778816512f, -0.627251815f,
+    0.780737229f, -0.624859488f,
+    0.782650596f, -0.622461279f,
+    0.784556597f, -0.620057212f,
+    0.786455214f, -0.617647308f,
+    0.788346428f, -0.615231591f,
+    0.790230221f, -0.612810082f,
+    0.792106577f, -0.610382806f,
+    0.793975478f, -0.607949785f,
+    0.795836905f, -0.605511041f,
+    0.797690841f, -0.603066599f,
+    0.799537269f, -0.600616479f,
+    0.801376172f, -0.598160707f,
+    0.803207531f, -0.595699304f,
+    0.805031331f, -0.593232295f,
+    0.806847554f, -0.590759702f,
+    0.808656182f, -0.588281548f,
+    0.810457198f, -0.585797857f,
+    0.812250587f, -0.583308653f,
+    0.814036330f, -0.580813958f,
+    0.815814411f, -0.578313796f,
+    0.817584813f, -0.575808191f,
+    0.819347520f, -0.573297167f,
+    0.821102515f, -0.570780746f,
+    0.822849781f, -0.568258953f,
+    0.824589303f, -0.565731811f,
+    0.826321063f, -0.563199344f,
+    0.828045045f, -0.560661576f,
+    0.829761234f, -0.558118531f,
+    0.831469612f, -0.555570233f,
+    0.833170165f, -0.553016706f,
+    0.834862875f, -0.550457973f,
+    0.836547727f, -0.547894059f,
+    0.838224706f, -0.545324988f,
+    0.839893794f, -0.542750785f,
+    0.841554977f, -0.540171473f,
+    0.843208240f, -0.537587076f,
+    0.844853565f, -0.534997620f,
+    0.846490939f, -0.532403128f,
+    0.848120345f, -0.529803625f,
+    0.849741768f, -0.527199135f,
+    0.851355193f, -0.524589683f,
+    0.852960605f, -0.521975293f,
+    0.854557988f, -0.519355990f,
+    0.856147328f, -0.516731799f,
+    0.857728610f, -0.514102744f,
+    0.859301818f, -0.511468850f,
+    0.860866939f, -0.508830143f,
+    0.862423956f, -0.506186645f,
+    0.863972856f, -0.503538384f,
+    0.865513624f, -0.500885383f,
+    0.867046246f, -0.498227667f,
+    0.868570706f, -0.495565262f,
+    0.870086991f, -0.492898192f,
+    0.871595087f, -0.490226483f,
+    0.873094978f, -0.487550160f,
+    0.874586652f, -0.484869248f,
+    0.876070094f, -0.482183772f,
+    0.877545290f, -0.479493758f,
+    0.879012226f, -0.476799230f,
+    0.880470889f, -0.474100215f,
+    0.881921264f, -0.471396737f,
+    0.883363339f, -0.468688822f,
+    0.884797098f, -0.465976496f,
+    0.886222530f, -0.463259784f,
+    0.887639620f, -0.460538711f,
+    0.889048356f, -0.457813304f,
+    0.890448723f, -0.455083587f,
+    0.891840709f, -0.452349587f,
+    0.893224301f, -0.449611330f,
+    0.894599486f, -0.446868840f,
+    0.895966250f, -0.444122145f,
+    0.897324581f, -0.441371269f,
+    0.898674466f, -0.438616239f,
+    0.900015892f, -0.435857080f,
+    0.901348847f, -0.433093819f,
+    0.902673318f, -0.430326481f,
+    0.903989293f, -0.427555093f,
+    0.905296759f, -0.424779681f,
+    0.906595705f, -0.422000271f,
+    0.907886116f, -0.419216888f,
+    0.909167983f, -0.416429560f,
+    0.910441292f, -0.413638312f,
+    0.911706032f, -0.410843171f,
+    0.912962190f, -0.408044163f,
+    0.914209756f, -0.405241314f,
+    0.915448716f, -0.402434651f,
+    0.916679060f, -0.399624200f,
+    0.917900776f, -0.396809987f,
+    0.919113852f, -0.393992040f,
+    0.920318277f, -0.391170384f,
+    0.921514039f, -0.388345047f,
+    0.922701128f, -0.385516054f,
+    0.923879533f, -0.382683432f,
+    0.925049241f, -0.379847209f,
+    0.926210242f, -0.377007410f,
+    0.927362526f, -0.374164063f,
+    0.928506080f, -0.371317194f,
+    0.929640896f, -0.368466830f,
+    0.930766961f, -0.365612998f,
+    0.931884266f, -0.362755724f,
+    0.932992799f, -0.359895037f,
+    0.934092550f, -0.357030961f,
+    0.935183510f, -0.354163525f,
+    0.936265667f, -0.351292756f,
+    0.937339012f, -0.348418680f,
+    0.938403534f, -0.345541325f,
+    0.939459224f, -0.342660717f,
+    0.940506071f, -0.339776884f,
+    0.941544065f, -0.336889853f,
+    0.942573198f, -0.333999651f,
+    0.943593458f, -0.331106306f,
+    0.944604837f, -0.328209844f,
+    0.945607325f, -0.325310292f,
+    0.946600913f, -0.322407679f,
+    0.947585591f, -0.319502031f,
+    0.948561350f, -0.316593376f,
+    0.949528181f, -0.313681740f,
+    0.950486074f, -0.310767153f,
+    0.951435021f, -0.307849640f,
+    0.952375013f, -0.304929230f,
+    0.953306040f, -0.302005949f,
+    0.954228095f, -0.299079826f,
+    0.955141168f, -0.296150888f,
+    0.956045251f, -0.293219163f,
+    0.956940336f, -0.290284677f,
+    0.957826413f, -0.287347460f,
+    0.958703475f, -0.284407537f,
+    0.959571513f, -0.281464938f,
+    0.960430519f, -0.278519689f,
+    0.961280486f, -0.275571819f,
+    0.962121404f, -0.272621355f,
+    0.962953267f, -0.269668326f,
+    0.963776066f, -0.266712757f,
+    0.964589793f, -0.263754679f,
+    0.965394442f, -0.260794118f,
+    0.966190003f, -0.257831102f,
+    0.966976471f, -0.254865660f,
+    0.967753837f, -0.251897818f,
+    0.968522094f, -0.248927606f,
+    0.969281235f, -0.245955050f,
+    0.970031253f, -0.242980180f,
+    0.970772141f, -0.240003022f,
+    0.971503891f, -0.237023606f,
+    0.972226497f, -0.234041959f,
+    0.972939952f, -0.231058108f,
+    0.973644250f, -0.228072083f,
+    0.974339383f, -0.225083911f,
+    0.975025345f, -0.222093621f,
+    0.975702130f, -0.219101240f,
+    0.976369731f, -0.216106797f,
+    0.977028143f, -0.213110320f,
+    0.977677358f, -0.210111837f,
+    0.978317371f, -0.207111376f,
+    0.978948175f, -0.204108966f,
+    0.979569766f, -0.201104635f,
+    0.980182136f, -0.198098411f,
+    0.980785280f, -0.195090322f,
+    0.981379193f, -0.192080397f,
+    0.981963869f, -0.189068664f,
+    0.982539302f, -0.186055152f,
+    0.983105487f, -0.183039888f,
+    0.983662419f, -0.180022901f,
+    0.984210092f, -0.177004220f,
+    0.984748502f, -0.173983873f,
+    0.985277642f, -0.170961889f,
+    0.985797509f, -0.167938295f,
+    0.986308097f, -0.164913120f,
+    0.986809402f, -0.161886394f,
+    0.987301418f, -0.158858143f,
+    0.987784142f, -0.155828398f,
+    0.988257568f, -0.152797185f,
+    0.988721692f, -0.149764535f,
+    0.989176510f, -0.146730474f,
+    0.989622017f, -0.143695033f,
+    0.990058210f, -0.140658239f,
+    0.990485084f, -0.137620122f,
+    0.990902635f, -0.134580709f,
+    0.991310860f, -0.131540029f,
+    0.991709754f, -0.128498111f,
+    0.992099313f, -0.125454983f,
+    0.992479535f, -0.122410675f,
+    0.992850414f, -0.119365215f,
+    0.993211949f, -0.116318631f,
+    0.993564136f, -0.113270952f,
+    0.993906970f, -0.110222207f,
+    0.994240449f, -0.107172425f,
+    0.994564571f, -0.104121634f,
+    0.994879331f, -0.101069863f,
+    0.995184727f, -0.098017140f,
+    0.995480755f, -0.094963495f,
+    0.995767414f, -0.091908956f,
+    0.996044701f, -0.088853553f,
+    0.996312612f, -0.085797312f,
+    0.996571146f, -0.082740265f,
+    0.996820299f, -0.079682438f,
+    0.997060070f, -0.076623861f,
+    0.997290457f, -0.073564564f,
+    0.997511456f, -0.070504573f,
+    0.997723067f, -0.067443920f,
+    0.997925286f, -0.064382631f,
+    0.998118113f, -0.061320736f,
+    0.998301545f, -0.058258265f,
+    0.998475581f, -0.055195244f,
+    0.998640218f, -0.052131705f,
+    0.998795456f, -0.049067674f,
+    0.998941293f, -0.046003182f,
+    0.999077728f, -0.042938257f,
+    0.999204759f, -0.039872928f,
+    0.999322385f, -0.036807223f,
+    0.999430605f, -0.033741172f,
+    0.999529418f, -0.030674803f,
+    0.999618822f, -0.027608146f,
+    0.999698819f, -0.024541229f,
+    0.999769405f, -0.021474080f,
+    0.999830582f, -0.018406730f,
+    0.999882347f, -0.015339206f,
+    0.999924702f, -0.012271538f,
+    0.999957645f, -0.009203755f,
+    0.999981175f, -0.006135885f,
+    0.999995294f, -0.003067957f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_F32_4096)
+/**
+  @par
+  Example code for Floating-point Twiddle factors Generation:
+  @par
+  <pre>for (i = 0; i< N/; i++)
+  {
+ 	twiddleCoef[2*i]   = cos(i * 2*PI/(float)N);
+ 	twiddleCoef[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 4096, PI = 3.14159265358979
+  @par
+  Cos and Sin values are in interleaved fashion
+*/
+const float32_t twiddleCoef_4096[8192] = {
+    1.000000000f,  0.000000000f,
+    0.999998823f,  0.001533980f,
+    0.999995294f,  0.003067957f,
+    0.999989411f,  0.004601926f,
+    0.999981175f,  0.006135885f,
+    0.999970586f,  0.007669829f,
+    0.999957645f,  0.009203755f,
+    0.999942350f,  0.010737659f,
+    0.999924702f,  0.012271538f,
+    0.999904701f,  0.013805389f,
+    0.999882347f,  0.015339206f,
+    0.999857641f,  0.016872988f,
+    0.999830582f,  0.018406730f,
+    0.999801170f,  0.019940429f,
+    0.999769405f,  0.021474080f,
+    0.999735288f,  0.023007681f,
+    0.999698819f,  0.024541229f,
+    0.999659997f,  0.026074718f,
+    0.999618822f,  0.027608146f,
+    0.999575296f,  0.029141509f,
+    0.999529418f,  0.030674803f,
+    0.999481187f,  0.032208025f,
+    0.999430605f,  0.033741172f,
+    0.999377670f,  0.035274239f,
+    0.999322385f,  0.036807223f,
+    0.999264747f,  0.038340120f,
+    0.999204759f,  0.039872928f,
+    0.999142419f,  0.041405641f,
+    0.999077728f,  0.042938257f,
+    0.999010686f,  0.044470772f,
+    0.998941293f,  0.046003182f,
+    0.998869550f,  0.047535484f,
+    0.998795456f,  0.049067674f,
+    0.998719012f,  0.050599749f,
+    0.998640218f,  0.052131705f,
+    0.998559074f,  0.053663538f,
+    0.998475581f,  0.055195244f,
+    0.998389737f,  0.056726821f,
+    0.998301545f,  0.058258265f,
+    0.998211003f,  0.059789571f,
+    0.998118113f,  0.061320736f,
+    0.998022874f,  0.062851758f,
+    0.997925286f,  0.064382631f,
+    0.997825350f,  0.065913353f,
+    0.997723067f,  0.067443920f,
+    0.997618435f,  0.068974328f,
+    0.997511456f,  0.070504573f,
+    0.997402130f,  0.072034653f,
+    0.997290457f,  0.073564564f,
+    0.997176437f,  0.075094301f,
+    0.997060070f,  0.076623861f,
+    0.996941358f,  0.078153242f,
+    0.996820299f,  0.079682438f,
+    0.996696895f,  0.081211447f,
+    0.996571146f,  0.082740265f,
+    0.996443051f,  0.084268888f,
+    0.996312612f,  0.085797312f,
+    0.996179829f,  0.087325535f,
+    0.996044701f,  0.088853553f,
+    0.995907229f,  0.090381361f,
+    0.995767414f,  0.091908956f,
+    0.995625256f,  0.093436336f,
+    0.995480755f,  0.094963495f,
+    0.995333912f,  0.096490431f,
+    0.995184727f,  0.098017140f,
+    0.995033199f,  0.099543619f,
+    0.994879331f,  0.101069863f,
+    0.994723121f,  0.102595869f,
+    0.994564571f,  0.104121634f,
+    0.994403680f,  0.105647154f,
+    0.994240449f,  0.107172425f,
+    0.994074879f,  0.108697444f,
+    0.993906970f,  0.110222207f,
+    0.993736722f,  0.111746711f,
+    0.993564136f,  0.113270952f,
+    0.993389211f,  0.114794927f,
+    0.993211949f,  0.116318631f,
+    0.993032350f,  0.117842062f,
+    0.992850414f,  0.119365215f,
+    0.992666142f,  0.120888087f,
+    0.992479535f,  0.122410675f,
+    0.992290591f,  0.123932975f,
+    0.992099313f,  0.125454983f,
+    0.991905700f,  0.126976696f,
+    0.991709754f,  0.128498111f,
+    0.991511473f,  0.130019223f,
+    0.991310860f,  0.131540029f,
+    0.991107914f,  0.133060525f,
+    0.990902635f,  0.134580709f,
+    0.990695025f,  0.136100575f,
+    0.990485084f,  0.137620122f,
+    0.990272812f,  0.139139344f,
+    0.990058210f,  0.140658239f,
+    0.989841278f,  0.142176804f,
+    0.989622017f,  0.143695033f,
+    0.989400428f,  0.145212925f,
+    0.989176510f,  0.146730474f,
+    0.988950265f,  0.148247679f,
+    0.988721692f,  0.149764535f,
+    0.988490793f,  0.151281038f,
+    0.988257568f,  0.152797185f,
+    0.988022017f,  0.154312973f,
+    0.987784142f,  0.155828398f,
+    0.987543942f,  0.157343456f,
+    0.987301418f,  0.158858143f,
+    0.987056571f,  0.160372457f,
+    0.986809402f,  0.161886394f,
+    0.986559910f,  0.163399949f,
+    0.986308097f,  0.164913120f,
+    0.986053963f,  0.166425904f,
+    0.985797509f,  0.167938295f,
+    0.985538735f,  0.169450291f,
+    0.985277642f,  0.170961889f,
+    0.985014231f,  0.172473084f,
+    0.984748502f,  0.173983873f,
+    0.984480455f,  0.175494253f,
+    0.984210092f,  0.177004220f,
+    0.983937413f,  0.178513771f,
+    0.983662419f,  0.180022901f,
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+    0.971139158f, -0.238513595f,
+    0.971503891f, -0.237023606f,
+    0.971866337f, -0.235533059f,
+    0.972226497f, -0.234041959f,
+    0.972584369f, -0.232550307f,
+    0.972939952f, -0.231058108f,
+    0.973293246f, -0.229565366f,
+    0.973644250f, -0.228072083f,
+    0.973992962f, -0.226578264f,
+    0.974339383f, -0.225083911f,
+    0.974683511f, -0.223589029f,
+    0.975025345f, -0.222093621f,
+    0.975364885f, -0.220597690f,
+    0.975702130f, -0.219101240f,
+    0.976037079f, -0.217604275f,
+    0.976369731f, -0.216106797f,
+    0.976700086f, -0.214608811f,
+    0.977028143f, -0.213110320f,
+    0.977353900f, -0.211611327f,
+    0.977677358f, -0.210111837f,
+    0.977998515f, -0.208611852f,
+    0.978317371f, -0.207111376f,
+    0.978633924f, -0.205610413f,
+    0.978948175f, -0.204108966f,
+    0.979260123f, -0.202607039f,
+    0.979569766f, -0.201104635f,
+    0.979877104f, -0.199601758f,
+    0.980182136f, -0.198098411f,
+    0.980484862f, -0.196594598f,
+    0.980785280f, -0.195090322f,
+    0.981083391f, -0.193585587f,
+    0.981379193f, -0.192080397f,
+    0.981672686f, -0.190574755f,
+    0.981963869f, -0.189068664f,
+    0.982252741f, -0.187562129f,
+    0.982539302f, -0.186055152f,
+    0.982823551f, -0.184547737f,
+    0.983105487f, -0.183039888f,
+    0.983385110f, -0.181531608f,
+    0.983662419f, -0.180022901f,
+    0.983937413f, -0.178513771f,
+    0.984210092f, -0.177004220f,
+    0.984480455f, -0.175494253f,
+    0.984748502f, -0.173983873f,
+    0.985014231f, -0.172473084f,
+    0.985277642f, -0.170961889f,
+    0.985538735f, -0.169450291f,
+    0.985797509f, -0.167938295f,
+    0.986053963f, -0.166425904f,
+    0.986308097f, -0.164913120f,
+    0.986559910f, -0.163399949f,
+    0.986809402f, -0.161886394f,
+    0.987056571f, -0.160372457f,
+    0.987301418f, -0.158858143f,
+    0.987543942f, -0.157343456f,
+    0.987784142f, -0.155828398f,
+    0.988022017f, -0.154312973f,
+    0.988257568f, -0.152797185f,
+    0.988490793f, -0.151281038f,
+    0.988721692f, -0.149764535f,
+    0.988950265f, -0.148247679f,
+    0.989176510f, -0.146730474f,
+    0.989400428f, -0.145212925f,
+    0.989622017f, -0.143695033f,
+    0.989841278f, -0.142176804f,
+    0.990058210f, -0.140658239f,
+    0.990272812f, -0.139139344f,
+    0.990485084f, -0.137620122f,
+    0.990695025f, -0.136100575f,
+    0.990902635f, -0.134580709f,
+    0.991107914f, -0.133060525f,
+    0.991310860f, -0.131540029f,
+    0.991511473f, -0.130019223f,
+    0.991709754f, -0.128498111f,
+    0.991905700f, -0.126976696f,
+    0.992099313f, -0.125454983f,
+    0.992290591f, -0.123932975f,
+    0.992479535f, -0.122410675f,
+    0.992666142f, -0.120888087f,
+    0.992850414f, -0.119365215f,
+    0.993032350f, -0.117842062f,
+    0.993211949f, -0.116318631f,
+    0.993389211f, -0.114794927f,
+    0.993564136f, -0.113270952f,
+    0.993736722f, -0.111746711f,
+    0.993906970f, -0.110222207f,
+    0.994074879f, -0.108697444f,
+    0.994240449f, -0.107172425f,
+    0.994403680f, -0.105647154f,
+    0.994564571f, -0.104121634f,
+    0.994723121f, -0.102595869f,
+    0.994879331f, -0.101069863f,
+    0.995033199f, -0.099543619f,
+    0.995184727f, -0.098017140f,
+    0.995333912f, -0.096490431f,
+    0.995480755f, -0.094963495f,
+    0.995625256f, -0.093436336f,
+    0.995767414f, -0.091908956f,
+    0.995907229f, -0.090381361f,
+    0.996044701f, -0.088853553f,
+    0.996179829f, -0.087325535f,
+    0.996312612f, -0.085797312f,
+    0.996443051f, -0.084268888f,
+    0.996571146f, -0.082740265f,
+    0.996696895f, -0.081211447f,
+    0.996820299f, -0.079682438f,
+    0.996941358f, -0.078153242f,
+    0.997060070f, -0.076623861f,
+    0.997176437f, -0.075094301f,
+    0.997290457f, -0.073564564f,
+    0.997402130f, -0.072034653f,
+    0.997511456f, -0.070504573f,
+    0.997618435f, -0.068974328f,
+    0.997723067f, -0.067443920f,
+    0.997825350f, -0.065913353f,
+    0.997925286f, -0.064382631f,
+    0.998022874f, -0.062851758f,
+    0.998118113f, -0.061320736f,
+    0.998211003f, -0.059789571f,
+    0.998301545f, -0.058258265f,
+    0.998389737f, -0.056726821f,
+    0.998475581f, -0.055195244f,
+    0.998559074f, -0.053663538f,
+    0.998640218f, -0.052131705f,
+    0.998719012f, -0.050599749f,
+    0.998795456f, -0.049067674f,
+    0.998869550f, -0.047535484f,
+    0.998941293f, -0.046003182f,
+    0.999010686f, -0.044470772f,
+    0.999077728f, -0.042938257f,
+    0.999142419f, -0.041405641f,
+    0.999204759f, -0.039872928f,
+    0.999264747f, -0.038340120f,
+    0.999322385f, -0.036807223f,
+    0.999377670f, -0.035274239f,
+    0.999430605f, -0.033741172f,
+    0.999481187f, -0.032208025f,
+    0.999529418f, -0.030674803f,
+    0.999575296f, -0.029141509f,
+    0.999618822f, -0.027608146f,
+    0.999659997f, -0.026074718f,
+    0.999698819f, -0.024541229f,
+    0.999735288f, -0.023007681f,
+    0.999769405f, -0.021474080f,
+    0.999801170f, -0.019940429f,
+    0.999830582f, -0.018406730f,
+    0.999857641f, -0.016872988f,
+    0.999882347f, -0.015339206f,
+    0.999904701f, -0.013805389f,
+    0.999924702f, -0.012271538f,
+    0.999942350f, -0.010737659f,
+    0.999957645f, -0.009203755f,
+    0.999970586f, -0.007669829f,
+    0.999981175f, -0.006135885f,
+    0.999989411f, -0.004601926f,
+    0.999995294f, -0.003067957f,
+    0.999998823f, -0.001533980f
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+/**
+  @brief  Q31 Twiddle factors Table
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_16)
+/**
+  @par
+  Example code for Q31 Twiddle factors Generation::
+  @par
+  <pre> for(i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 16, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to Q31(Fixed point 1.31):
+ 	round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_16_q31[24] = {
+    (q31_t)0x7FFFFFFF, (q31_t)0x00000000,
+    (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+    (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+    (q31_t)0x30FBC54D, (q31_t)0x7641AF3C,
+    (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+    (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+    (q31_t)0xA57D8666, (q31_t)0x5A82799A,
+    (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+    (q31_t)0x80000000, (q31_t)0x00000000,
+    (q31_t)0x89BE50C3, (q31_t)0xCF043AB2,
+    (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+    (q31_t)0xCF043AB2, (q31_t)0x89BE50C3
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_32)
+/**
+  @par
+  Example code for Q31 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 32, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to Q31(Fixed point 1.31):
+ 	round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_32_q31[48] = {
+    (q31_t)0x7FFFFFFF, (q31_t)0x00000000,
+    (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+    (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+    (q31_t)0x6A6D98A4, (q31_t)0x471CECE6,
+    (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+    (q31_t)0x471CECE6, (q31_t)0x6A6D98A4,
+    (q31_t)0x30FBC54D, (q31_t)0x7641AF3C,
+    (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F,
+    (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+    (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F,
+    (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+    (q31_t)0xB8E31319, (q31_t)0x6A6D98A4,
+    (q31_t)0xA57D8666, (q31_t)0x5A82799A,
+    (q31_t)0x9592675B, (q31_t)0x471CECE6,
+    (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+    (q31_t)0x8275A0C0, (q31_t)0x18F8B83C,
+    (q31_t)0x80000000, (q31_t)0x00000000,
+    (q31_t)0x8275A0C0, (q31_t)0xE70747C3,
+    (q31_t)0x89BE50C3, (q31_t)0xCF043AB2,
+    (q31_t)0x9592675B, (q31_t)0xB8E31319,
+    (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+    (q31_t)0xB8E31319, (q31_t)0x9592675B,
+    (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+    (q31_t)0xE70747C3, (q31_t)0x8275A0C0
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_64)
+/**
+  @par
+  Example code for Q31 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 64, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to Q31(Fixed point 1.31):
+ 	round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_64_q31[96] = {
+	(q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7F62368F,
+	(q31_t)0x0C8BD35E, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+	(q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7641AF3C,
+	(q31_t)0x30FBC54D, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70,
+	(q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x62F201AC,
+	(q31_t)0x5133CC94, (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+	(q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x471CECE6,
+	(q31_t)0x6A6D98A4, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6,
+	(q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x25280C5D,
+	(q31_t)0x7A7D055B, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F,
+	(q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x00000000,
+	(q31_t)0x7FFFFFFF, (q31_t)0xF3742CA1, (q31_t)0x7F62368F,
+	(q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xDAD7F3A2,
+	(q31_t)0x7A7D055B, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+	(q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xB8E31319,
+	(q31_t)0x6A6D98A4, (q31_t)0xAECC336B, (q31_t)0x62F201AC,
+	(q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0x9D0DFE53,
+	(q31_t)0x5133CC94, (q31_t)0x9592675B, (q31_t)0x471CECE6,
+	(q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x89BE50C3,
+	(q31_t)0x30FBC54D, (q31_t)0x8582FAA4, (q31_t)0x25280C5D,
+	(q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x809DC970,
+	(q31_t)0x0C8BD35E, (q31_t)0x80000000, (q31_t)0x00000000,
+	(q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8275A0C0,
+	(q31_t)0xE70747C3, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2,
+	(q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8F1D343A,
+	(q31_t)0xC3A9458F, (q31_t)0x9592675B, (q31_t)0xB8E31319,
+	(q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA57D8666,
+	(q31_t)0xA57D8666, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53,
+	(q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xC3A9458F,
+	(q31_t)0x8F1D343A, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+	(q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE70747C3,
+	(q31_t)0x8275A0C0, (q31_t)0xF3742CA1, (q31_t)0x809DC970
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_128)
+/**
+  @par
+  Example code for Q31 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i < 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 128, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to Q31(Fixed point 1.31):
+ 	round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_128_q31[192] = {
+	(q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FD8878D,
+	(q31_t)0x0647D97C, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E,
+	(q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7D8A5F3F,
+	(q31_t)0x18F8B83C, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B,
+	(q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x78848413,
+	(q31_t)0x2B1F34EB, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+	(q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x70E2CBC6,
+	(q31_t)0x3C56BA70, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64,
+	(q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x66CF811F,
+	(q31_t)0x4C3FDFF3, (q31_t)0x62F201AC, (q31_t)0x5133CC94,
+	(q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5A82799A,
+	(q31_t)0x5A82799A, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89,
+	(q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4C3FDFF3,
+	(q31_t)0x66CF811F, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4,
+	(q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3C56BA70,
+	(q31_t)0x70E2CBC6, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0,
+	(q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2B1F34EB,
+	(q31_t)0x78848413, (q31_t)0x25280C5D, (q31_t)0x7A7D055B,
+	(q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x18F8B83C,
+	(q31_t)0x7D8A5F3F, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC,
+	(q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0647D97C,
+	(q31_t)0x7FD8878D, (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+	(q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF3742CA1,
+	(q31_t)0x7F62368F, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC,
+	(q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE0E60684,
+	(q31_t)0x7C29FBEE, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B,
+	(q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xCF043AB2,
+	(q31_t)0x7641AF3C, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0,
+	(q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xBE31E19B,
+	(q31_t)0x6DCA0D14, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4,
+	(q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xAECC336B,
+	(q31_t)0x62F201AC, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89,
+	(q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA1288376,
+	(q31_t)0x55F5A4D2, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94,
+	(q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9592675B,
+	(q31_t)0x471CECE6, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64,
+	(q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8C4A142F,
+	(q31_t)0x36BA2013, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+	(q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8582FAA4,
+	(q31_t)0x25280C5D, (q31_t)0x83D60411, (q31_t)0x1F19F97B,
+	(q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x8162AA03,
+	(q31_t)0x12C8106E, (q31_t)0x809DC970, (q31_t)0x0C8BD35E,
+	(q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80000000,
+	(q31_t)0x00000000, (q31_t)0x80277872, (q31_t)0xF9B82683,
+	(q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8162AA03,
+	(q31_t)0xED37EF91, (q31_t)0x8275A0C0, (q31_t)0xE70747C3,
+	(q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x8582FAA4,
+	(q31_t)0xDAD7F3A2, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14,
+	(q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8C4A142F,
+	(q31_t)0xC945DFEC, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F,
+	(q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9592675B,
+	(q31_t)0xB8E31319, (q31_t)0x99307EE0, (q31_t)0xB3C0200C,
+	(q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA1288376,
+	(q31_t)0xAA0A5B2D, (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+	(q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAECC336B,
+	(q31_t)0x9D0DFE53, (q31_t)0xB3C0200C, (q31_t)0x99307EE0,
+	(q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBE31E19B,
+	(q31_t)0x9235F2EB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A,
+	(q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCF043AB2,
+	(q31_t)0x89BE50C3, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC,
+	(q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE0E60684,
+	(q31_t)0x83D60411, (q31_t)0xE70747C3, (q31_t)0x8275A0C0,
+	(q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF3742CA1,
+	(q31_t)0x809DC970, (q31_t)0xF9B82683, (q31_t)0x80277872
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_256)
+/**
+  @par
+  Example code for Q31 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 256, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to Q31(Fixed point 1.31):
+ 	round(twiddleCoefQ31(i) * pow(2, 31))
+ 
+ */
+const q31_t twiddleCoef_256_q31[384] = {
+	(q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FF62182,
+	(q31_t)0x03242ABF, (q31_t)0x7FD8878D, (q31_t)0x0647D97C,
+	(q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F62368F,
+	(q31_t)0x0C8BD35E, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B,
+	(q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E1D93E9,
+	(q31_t)0x15E21444, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+	(q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C29FBEE,
+	(q31_t)0x1F19F97B, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5,
+	(q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x798A23B1,
+	(q31_t)0x2826B928, (q31_t)0x78848413, (q31_t)0x2B1F34EB,
+	(q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x7641AF3C,
+	(q31_t)0x30FBC54D, (q31_t)0x7504D345, (q31_t)0x33DEF287,
+	(q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x72552C84,
+	(q31_t)0x398CDD32, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70,
+	(q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6DCA0D14,
+	(q31_t)0x41CE1E64, (q31_t)0x6C242960, (q31_t)0x447ACD50,
+	(q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x68A69E81,
+	(q31_t)0x49B41533, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3,
+	(q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x62F201AC,
+	(q31_t)0x5133CC94, (q31_t)0x60EC3830, (q31_t)0x539B2AEF,
+	(q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5CB420DF,
+	(q31_t)0x5842DD54, (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+	(q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x55F5A4D2,
+	(q31_t)0x5ED77C89, (q31_t)0x539B2AEF, (q31_t)0x60EC3830,
+	(q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4EBFE8A4,
+	(q31_t)0x64E88926, (q31_t)0x4C3FDFF3, (q31_t)0x66CF811F,
+	(q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x471CECE6,
+	(q31_t)0x6A6D98A4, (q31_t)0x447ACD50, (q31_t)0x6C242960,
+	(q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3F1749B7,
+	(q31_t)0x6F5F02B1, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6,
+	(q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x36BA2013,
+	(q31_t)0x73B5EBD0, (q31_t)0x33DEF287, (q31_t)0x7504D345,
+	(q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2E110A62,
+	(q31_t)0x776C4EDB, (q31_t)0x2B1F34EB, (q31_t)0x78848413,
+	(q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x25280C5D,
+	(q31_t)0x7A7D055B, (q31_t)0x2223A4C5, (q31_t)0x7B5D039D,
+	(q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1C0B826A,
+	(q31_t)0x7CE3CEB1, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F,
+	(q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x12C8106E,
+	(q31_t)0x7E9D55FC, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3,
+	(q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x096A9049,
+	(q31_t)0x7FA736B4, (q31_t)0x0647D97C, (q31_t)0x7FD8878D,
+	(q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x00000000,
+	(q31_t)0x7FFFFFFF, (q31_t)0xFCDBD541, (q31_t)0x7FF62182,
+	(q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF6956FB6,
+	(q31_t)0x7FA736B4, (q31_t)0xF3742CA1, (q31_t)0x7F62368F,
+	(q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xED37EF91,
+	(q31_t)0x7E9D55FC, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9,
+	(q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE3F47D95,
+	(q31_t)0x7CE3CEB1, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE,
+	(q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDAD7F3A2,
+	(q31_t)0x7A7D055B, (q31_t)0xD7D946D7, (q31_t)0x798A23B1,
+	(q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD1EEF59E,
+	(q31_t)0x776C4EDB, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+	(q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xC945DFEC,
+	(q31_t)0x73B5EBD0, (q31_t)0xC67322CD, (q31_t)0x72552C84,
+	(q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC0E8B648,
+	(q31_t)0x6F5F02B1, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14,
+	(q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xB8E31319,
+	(q31_t)0x6A6D98A4, (q31_t)0xB64BEACC, (q31_t)0x68A69E81,
+	(q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB140175B,
+	(q31_t)0x64E88926, (q31_t)0xAECC336B, (q31_t)0x62F201AC,
+	(q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAA0A5B2D,
+	(q31_t)0x5ED77C89, (q31_t)0xA7BD22AB, (q31_t)0x5CB420DF,
+	(q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA34BDF20,
+	(q31_t)0x5842DD54, (q31_t)0xA1288376, (q31_t)0x55F5A4D2,
+	(q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9D0DFE53,
+	(q31_t)0x5133CC94, (q31_t)0x9B1776D9, (q31_t)0x4EBFE8A4,
+	(q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9759617E,
+	(q31_t)0x49B41533, (q31_t)0x9592675B, (q31_t)0x471CECE6,
+	(q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9235F2EB,
+	(q31_t)0x41CE1E64, (q31_t)0x90A0FD4E, (q31_t)0x3F1749B7,
+	(q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8DAAD37B,
+	(q31_t)0x398CDD32, (q31_t)0x8C4A142F, (q31_t)0x36BA2013,
+	(q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x89BE50C3,
+	(q31_t)0x30FBC54D, (q31_t)0x8893B124, (q31_t)0x2E110A62,
+	(q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8675DC4E,
+	(q31_t)0x2826B928, (q31_t)0x8582FAA4, (q31_t)0x25280C5D,
+	(q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x83D60411,
+	(q31_t)0x1F19F97B, (q31_t)0x831C314E, (q31_t)0x1C0B826A,
+	(q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x81E26C16,
+	(q31_t)0x15E21444, (q31_t)0x8162AA03, (q31_t)0x12C8106E,
+	(q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x809DC970,
+	(q31_t)0x0C8BD35E, (q31_t)0x8058C94C, (q31_t)0x096A9049,
+	(q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x8009DE7D,
+	(q31_t)0x03242ABF, (q31_t)0x80000000, (q31_t)0x00000000,
+	(q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80277872,
+	(q31_t)0xF9B82683, (q31_t)0x8058C94C, (q31_t)0xF6956FB6,
+	(q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80F66E3C,
+	(q31_t)0xF054D8D4, (q31_t)0x8162AA03, (q31_t)0xED37EF91,
+	(q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x8275A0C0,
+	(q31_t)0xE70747C3, (q31_t)0x831C314E, (q31_t)0xE3F47D95,
+	(q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x84A2FC62,
+	(q31_t)0xDDDC5B3A, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2,
+	(q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x877B7BEC,
+	(q31_t)0xD4E0CB14, (q31_t)0x8893B124, (q31_t)0xD1EEF59E,
+	(q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8AFB2CBA,
+	(q31_t)0xCC210D78, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC,
+	(q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8F1D343A,
+	(q31_t)0xC3A9458F, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648,
+	(q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x93DBD69F,
+	(q31_t)0xBB8532AF, (q31_t)0x9592675B, (q31_t)0xB8E31319,
+	(q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x99307EE0,
+	(q31_t)0xB3C0200C, (q31_t)0x9B1776D9, (q31_t)0xB140175B,
+	(q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9F13C7D0,
+	(q31_t)0xAC64D510, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D,
+	(q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA57D8666,
+	(q31_t)0xA57D8666, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20,
+	(q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAC64D510,
+	(q31_t)0x9F13C7D0, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53,
+	(q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB3C0200C,
+	(q31_t)0x99307EE0, (q31_t)0xB64BEACC, (q31_t)0x9759617E,
+	(q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBB8532AF,
+	(q31_t)0x93DBD69F, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB,
+	(q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC3A9458F,
+	(q31_t)0x8F1D343A, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B,
+	(q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCC210D78,
+	(q31_t)0x8AFB2CBA, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+	(q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD4E0CB14,
+	(q31_t)0x877B7BEC, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E,
+	(q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDDDC5B3A,
+	(q31_t)0x84A2FC62, (q31_t)0xE0E60684, (q31_t)0x83D60411,
+	(q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE70747C3,
+	(q31_t)0x8275A0C0, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16,
+	(q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF054D8D4,
+	(q31_t)0x80F66E3C, (q31_t)0xF3742CA1, (q31_t)0x809DC970,
+	(q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF9B82683,
+	(q31_t)0x80277872, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_512)
+/**
+  @par
+  Example code for Q31 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 512, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to Q31(Fixed point 1.31):
+ 	round(twiddleCoefQ31(i) * pow(2, 31))
+ 
+ */
+const q31_t twiddleCoef_512_q31[768] = {
+    (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFD885A,
+	(q31_t)0x01921D1F, (q31_t)0x7FF62182, (q31_t)0x03242ABF,
+	(q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FD8878D,
+	(q31_t)0x0647D97C, (q31_t)0x7FC25596, (q31_t)0x07D95B9E,
+	(q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F872BF3,
+	(q31_t)0x0AFB6805, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E,
+	(q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F0991C3,
+	(q31_t)0x0FAB272B, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE,
+	(q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E5FE493,
+	(q31_t)0x145576B1, (q31_t)0x7E1D93E9, (q31_t)0x15E21444,
+	(q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7D8A5F3F,
+	(q31_t)0x18F8B83C, (q31_t)0x7D3980EC, (q31_t)0x1A82A025,
+	(q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C894BDD,
+	(q31_t)0x1D934FE5, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B,
+	(q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B5D039D,
+	(q31_t)0x2223A4C5, (q31_t)0x7AEF6323, (q31_t)0x23A6887E,
+	(q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A05EEAD,
+	(q31_t)0x26A82185, (q31_t)0x798A23B1, (q31_t)0x2826B928,
+	(q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78848413,
+	(q31_t)0x2B1F34EB, (q31_t)0x77FAB988, (q31_t)0x2C98FBBA,
+	(q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x76D94988,
+	(q31_t)0x2F875262, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+	(q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7504D345,
+	(q31_t)0x33DEF287, (q31_t)0x745F9DD1, (q31_t)0x354D9056,
+	(q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x7307C3D0,
+	(q31_t)0x382493B0, (q31_t)0x72552C84, (q31_t)0x398CDD32,
+	(q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x70E2CBC6,
+	(q31_t)0x3C56BA70, (q31_t)0x70231099, (q31_t)0x3DB832A5,
+	(q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6E96A99C,
+	(q31_t)0x4073F21D, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64,
+	(q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C242960,
+	(q31_t)0x447ACD50, (q31_t)0x6B4AF278, (q31_t)0x45CD358F,
+	(q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x698C246C,
+	(q31_t)0x4869E664, (q31_t)0x68A69E81, (q31_t)0x49B41533,
+	(q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x66CF811F,
+	(q31_t)0x4C3FDFF3, (q31_t)0x65DDFBD3, (q31_t)0x4D8162C4,
+	(q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x63EF328F,
+	(q31_t)0x4FFB654D, (q31_t)0x62F201AC, (q31_t)0x5133CC94,
+	(q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x60EC3830,
+	(q31_t)0x539B2AEF, (q31_t)0x5FE3B38D, (q31_t)0x54CA0A4A,
+	(q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5DC79D7C,
+	(q31_t)0x571DEEF9, (q31_t)0x5CB420DF, (q31_t)0x5842DD54,
+	(q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5A82799A,
+	(q31_t)0x5A82799A, (q31_t)0x59646497, (q31_t)0x5B9D1153,
+	(q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x571DEEF9,
+	(q31_t)0x5DC79D7C, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89,
+	(q31_t)0x54CA0A4A, (q31_t)0x5FE3B38D, (q31_t)0x539B2AEF,
+	(q31_t)0x60EC3830, (q31_t)0x5269126E, (q31_t)0x61F1003E,
+	(q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4FFB654D,
+	(q31_t)0x63EF328F, (q31_t)0x4EBFE8A4, (q31_t)0x64E88926,
+	(q31_t)0x4D8162C4, (q31_t)0x65DDFBD3, (q31_t)0x4C3FDFF3,
+	(q31_t)0x66CF811F, (q31_t)0x4AFB6C97, (q31_t)0x67BD0FBC,
+	(q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x4869E664,
+	(q31_t)0x698C246C, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4,
+	(q31_t)0x45CD358F, (q31_t)0x6B4AF278, (q31_t)0x447ACD50,
+	(q31_t)0x6C242960, (q31_t)0x4325C135, (q31_t)0x6CF934FB,
+	(q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x4073F21D,
+	(q31_t)0x6E96A99C, (q31_t)0x3F1749B7, (q31_t)0x6F5F02B1,
+	(q31_t)0x3DB832A5, (q31_t)0x70231099, (q31_t)0x3C56BA70,
+	(q31_t)0x70E2CBC6, (q31_t)0x3AF2EEB7, (q31_t)0x719E2CD2,
+	(q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x382493B0,
+	(q31_t)0x7307C3D0, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0,
+	(q31_t)0x354D9056, (q31_t)0x745F9DD1, (q31_t)0x33DEF287,
+	(q31_t)0x7504D345, (q31_t)0x326E54C7, (q31_t)0x75A585CF,
+	(q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2F875262,
+	(q31_t)0x76D94988, (q31_t)0x2E110A62, (q31_t)0x776C4EDB,
+	(q31_t)0x2C98FBBA, (q31_t)0x77FAB988, (q31_t)0x2B1F34EB,
+	(q31_t)0x78848413, (q31_t)0x29A3C484, (q31_t)0x7909A92C,
+	(q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x26A82185,
+	(q31_t)0x7A05EEAD, (q31_t)0x25280C5D, (q31_t)0x7A7D055B,
+	(q31_t)0x23A6887E, (q31_t)0x7AEF6323, (q31_t)0x2223A4C5,
+	(q31_t)0x7B5D039D, (q31_t)0x209F701C, (q31_t)0x7BC5E28F,
+	(q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1D934FE5,
+	(q31_t)0x7C894BDD, (q31_t)0x1C0B826A, (q31_t)0x7CE3CEB1,
+	(q31_t)0x1A82A025, (q31_t)0x7D3980EC, (q31_t)0x18F8B83C,
+	(q31_t)0x7D8A5F3F, (q31_t)0x176DD9DE, (q31_t)0x7DD6668E,
+	(q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x145576B1,
+	(q31_t)0x7E5FE493, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC,
+	(q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x0FAB272B,
+	(q31_t)0x7F0991C3, (q31_t)0x0E1BC2E3, (q31_t)0x7F3857F5,
+	(q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0AFB6805,
+	(q31_t)0x7F872BF3, (q31_t)0x096A9049, (q31_t)0x7FA736B4,
+	(q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x0647D97C,
+	(q31_t)0x7FD8878D, (q31_t)0x04B6195D, (q31_t)0x7FE9CBC0,
+	(q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x01921D1F,
+	(q31_t)0x7FFD885A, (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+	(q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFCDBD541,
+	(q31_t)0x7FF62182, (q31_t)0xFB49E6A2, (q31_t)0x7FE9CBC0,
+	(q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF826A461,
+	(q31_t)0x7FC25596, (q31_t)0xF6956FB6, (q31_t)0x7FA736B4,
+	(q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF3742CA1,
+	(q31_t)0x7F62368F, (q31_t)0xF1E43D1C, (q31_t)0x7F3857F5,
+	(q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xEEC60F31,
+	(q31_t)0x7ED5E5C6, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC,
+	(q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEA1DEBBB,
+	(q31_t)0x7E1D93E9, (q31_t)0xE8922621, (q31_t)0x7DD6668E,
+	(q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE57D5FDA,
+	(q31_t)0x7D3980EC, (q31_t)0xE3F47D95, (q31_t)0x7CE3CEB1,
+	(q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE0E60684,
+	(q31_t)0x7C29FBEE, (q31_t)0xDF608FE3, (q31_t)0x7BC5E28F,
+	(q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDC597781,
+	(q31_t)0x7AEF6323, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B,
+	(q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD7D946D7,
+	(q31_t)0x798A23B1, (q31_t)0xD65C3B7B, (q31_t)0x7909A92C,
+	(q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD3670445,
+	(q31_t)0x77FAB988, (q31_t)0xD1EEF59E, (q31_t)0x776C4EDB,
+	(q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xCF043AB2,
+	(q31_t)0x7641AF3C, (q31_t)0xCD91AB38, (q31_t)0x75A585CF,
+	(q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCAB26FA9,
+	(q31_t)0x745F9DD1, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0,
+	(q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC67322CD,
+	(q31_t)0x72552C84, (q31_t)0xC50D1148, (q31_t)0x719E2CD2,
+	(q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC247CD5A,
+	(q31_t)0x70231099, (q31_t)0xC0E8B648, (q31_t)0x6F5F02B1,
+	(q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBE31E19B,
+	(q31_t)0x6DCA0D14, (q31_t)0xBCDA3ECA, (q31_t)0x6CF934FB,
+	(q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBA32CA70,
+	(q31_t)0x6B4AF278, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4,
+	(q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB64BEACC,
+	(q31_t)0x68A69E81, (q31_t)0xB5049368, (q31_t)0x67BD0FBC,
+	(q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB27E9D3B,
+	(q31_t)0x65DDFBD3, (q31_t)0xB140175B, (q31_t)0x64E88926,
+	(q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAECC336B,
+	(q31_t)0x62F201AC, (q31_t)0xAD96ED91, (q31_t)0x61F1003E,
+	(q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAB35F5B5,
+	(q31_t)0x5FE3B38D, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89,
+	(q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA7BD22AB,
+	(q31_t)0x5CB420DF, (q31_t)0xA69B9B68, (q31_t)0x5B9D1153,
+	(q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA462EEAC,
+	(q31_t)0x59646497, (q31_t)0xA34BDF20, (q31_t)0x5842DD54,
+	(q31_t)0xA2386283, (q31_t)0x571DEEF9, (q31_t)0xA1288376,
+	(q31_t)0x55F5A4D2, (q31_t)0xA01C4C72, (q31_t)0x54CA0A4A,
+	(q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9E0EFFC1,
+	(q31_t)0x5269126E, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94,
+	(q31_t)0x9C10CD70, (q31_t)0x4FFB654D, (q31_t)0x9B1776D9,
+	(q31_t)0x4EBFE8A4, (q31_t)0x9A22042C, (q31_t)0x4D8162C4,
+	(q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9842F043,
+	(q31_t)0x4AFB6C97, (q31_t)0x9759617E, (q31_t)0x49B41533,
+	(q31_t)0x9673DB94, (q31_t)0x4869E664, (q31_t)0x9592675B,
+	(q31_t)0x471CECE6, (q31_t)0x94B50D87, (q31_t)0x45CD358F,
+	(q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9306CB04,
+	(q31_t)0x4325C135, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64,
+	(q31_t)0x91695663, (q31_t)0x4073F21D, (q31_t)0x90A0FD4E,
+	(q31_t)0x3F1749B7, (q31_t)0x8FDCEF66, (q31_t)0x3DB832A5,
+	(q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8E61D32D,
+	(q31_t)0x3AF2EEB7, (q31_t)0x8DAAD37B, (q31_t)0x398CDD32,
+	(q31_t)0x8CF83C30, (q31_t)0x382493B0, (q31_t)0x8C4A142F,
+	(q31_t)0x36BA2013, (q31_t)0x8BA0622F, (q31_t)0x354D9056,
+	(q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x8A5A7A30,
+	(q31_t)0x326E54C7, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+	(q31_t)0x8926B677, (q31_t)0x2F875262, (q31_t)0x8893B124,
+	(q31_t)0x2E110A62, (q31_t)0x88054677, (q31_t)0x2C98FBBA,
+	(q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x86F656D3,
+	(q31_t)0x29A3C484, (q31_t)0x8675DC4E, (q31_t)0x2826B928,
+	(q31_t)0x85FA1152, (q31_t)0x26A82185, (q31_t)0x8582FAA4,
+	(q31_t)0x25280C5D, (q31_t)0x85109CDC, (q31_t)0x23A6887E,
+	(q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x843A1D70,
+	(q31_t)0x209F701C, (q31_t)0x83D60411, (q31_t)0x1F19F97B,
+	(q31_t)0x8376B422, (q31_t)0x1D934FE5, (q31_t)0x831C314E,
+	(q31_t)0x1C0B826A, (q31_t)0x82C67F13, (q31_t)0x1A82A025,
+	(q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x82299971,
+	(q31_t)0x176DD9DE, (q31_t)0x81E26C16, (q31_t)0x15E21444,
+	(q31_t)0x81A01B6C, (q31_t)0x145576B1, (q31_t)0x8162AA03,
+	(q31_t)0x12C8106E, (q31_t)0x812A1A39, (q31_t)0x1139F0CE,
+	(q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80C7A80A,
+	(q31_t)0x0E1BC2E3, (q31_t)0x809DC970, (q31_t)0x0C8BD35E,
+	(q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x8058C94C,
+	(q31_t)0x096A9049, (q31_t)0x803DAA69, (q31_t)0x07D95B9E,
+	(q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80163440,
+	(q31_t)0x04B6195D, (q31_t)0x8009DE7D, (q31_t)0x03242ABF,
+	(q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x80000000,
+	(q31_t)0x00000000, (q31_t)0x800277A5, (q31_t)0xFE6DE2E0,
+	(q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80163440,
+	(q31_t)0xFB49E6A2, (q31_t)0x80277872, (q31_t)0xF9B82683,
+	(q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8058C94C,
+	(q31_t)0xF6956FB6, (q31_t)0x8078D40D, (q31_t)0xF50497FA,
+	(q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80C7A80A,
+	(q31_t)0xF1E43D1C, (q31_t)0x80F66E3C, (q31_t)0xF054D8D4,
+	(q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8162AA03,
+	(q31_t)0xED37EF91, (q31_t)0x81A01B6C, (q31_t)0xEBAA894E,
+	(q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82299971,
+	(q31_t)0xE8922621, (q31_t)0x8275A0C0, (q31_t)0xE70747C3,
+	(q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x831C314E,
+	(q31_t)0xE3F47D95, (q31_t)0x8376B422, (q31_t)0xE26CB01A,
+	(q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x843A1D70,
+	(q31_t)0xDF608FE3, (q31_t)0x84A2FC62, (q31_t)0xDDDC5B3A,
+	(q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8582FAA4,
+	(q31_t)0xDAD7F3A2, (q31_t)0x85FA1152, (q31_t)0xD957DE7A,
+	(q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86F656D3,
+	(q31_t)0xD65C3B7B, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14,
+	(q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x8893B124,
+	(q31_t)0xD1EEF59E, (q31_t)0x8926B677, (q31_t)0xD078AD9D,
+	(q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A5A7A30,
+	(q31_t)0xCD91AB38, (q31_t)0x8AFB2CBA, (q31_t)0xCC210D78,
+	(q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8C4A142F,
+	(q31_t)0xC945DFEC, (q31_t)0x8CF83C30, (q31_t)0xC7DB6C50,
+	(q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E61D32D,
+	(q31_t)0xC50D1148, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F,
+	(q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x90A0FD4E,
+	(q31_t)0xC0E8B648, (q31_t)0x91695663, (q31_t)0xBF8C0DE2,
+	(q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9306CB04,
+	(q31_t)0xBCDA3ECA, (q31_t)0x93DBD69F, (q31_t)0xBB8532AF,
+	(q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9592675B,
+	(q31_t)0xB8E31319, (q31_t)0x9673DB94, (q31_t)0xB796199B,
+	(q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x9842F043,
+	(q31_t)0xB5049368, (q31_t)0x99307EE0, (q31_t)0xB3C0200C,
+	(q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9B1776D9,
+	(q31_t)0xB140175B, (q31_t)0x9C10CD70, (q31_t)0xB0049AB2,
+	(q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9E0EFFC1,
+	(q31_t)0xAD96ED91, (q31_t)0x9F13C7D0, (q31_t)0xAC64D510,
+	(q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA1288376,
+	(q31_t)0xAA0A5B2D, (q31_t)0xA2386283, (q31_t)0xA8E21106,
+	(q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA462EEAC,
+	(q31_t)0xA69B9B68, (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+	(q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA7BD22AB,
+	(q31_t)0xA34BDF20, (q31_t)0xA8E21106, (q31_t)0xA2386283,
+	(q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAB35F5B5,
+	(q31_t)0xA01C4C72, (q31_t)0xAC64D510, (q31_t)0x9F13C7D0,
+	(q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAECC336B,
+	(q31_t)0x9D0DFE53, (q31_t)0xB0049AB2, (q31_t)0x9C10CD70,
+	(q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB27E9D3B,
+	(q31_t)0x9A22042C, (q31_t)0xB3C0200C, (q31_t)0x99307EE0,
+	(q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB64BEACC,
+	(q31_t)0x9759617E, (q31_t)0xB796199B, (q31_t)0x9673DB94,
+	(q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBA32CA70,
+	(q31_t)0x94B50D87, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F,
+	(q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBE31E19B,
+	(q31_t)0x9235F2EB, (q31_t)0xBF8C0DE2, (q31_t)0x91695663,
+	(q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC247CD5A,
+	(q31_t)0x8FDCEF66, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A,
+	(q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC67322CD,
+	(q31_t)0x8DAAD37B, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30,
+	(q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCAB26FA9,
+	(q31_t)0x8BA0622F, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA,
+	(q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCF043AB2,
+	(q31_t)0x89BE50C3, (q31_t)0xD078AD9D, (q31_t)0x8926B677,
+	(q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD3670445,
+	(q31_t)0x88054677, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC,
+	(q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD7D946D7,
+	(q31_t)0x8675DC4E, (q31_t)0xD957DE7A, (q31_t)0x85FA1152,
+	(q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDC597781,
+	(q31_t)0x85109CDC, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62,
+	(q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE0E60684,
+	(q31_t)0x83D60411, (q31_t)0xE26CB01A, (q31_t)0x8376B422,
+	(q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE57D5FDA,
+	(q31_t)0x82C67F13, (q31_t)0xE70747C3, (q31_t)0x8275A0C0,
+	(q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xEA1DEBBB,
+	(q31_t)0x81E26C16, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C,
+	(q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEEC60F31,
+	(q31_t)0x812A1A39, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C,
+	(q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF3742CA1,
+	(q31_t)0x809DC970, (q31_t)0xF50497FA, (q31_t)0x8078D40D,
+	(q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF826A461,
+	(q31_t)0x803DAA69, (q31_t)0xF9B82683, (q31_t)0x80277872,
+	(q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFCDBD541,
+	(q31_t)0x8009DE7D, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_1024)
+/**
+  @par
+  Example code for Q31 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 1024, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to Q31(Fixed point 1.31):
+ 	round(twiddleCoefQ31(i) * pow(2, 31))
+ 
+ */
+const q31_t twiddleCoef_1024_q31[1536] = {
+	(q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFF6216,
+	(q31_t)0x00C90F88, (q31_t)0x7FFD885A, (q31_t)0x01921D1F,
+	(q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF62182,
+	(q31_t)0x03242ABF, (q31_t)0x7FF09477, (q31_t)0x03ED26E6,
+	(q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE1C76B,
+	(q31_t)0x057F0034, (q31_t)0x7FD8878D, (q31_t)0x0647D97C,
+	(q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC25596,
+	(q31_t)0x07D95B9E, (q31_t)0x7FB563B2, (q31_t)0x08A2009A,
+	(q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F97CEBC,
+	(q31_t)0x0A3308BC, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805,
+	(q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F62368F,
+	(q31_t)0x0C8BD35E, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92,
+	(q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2191B4,
+	(q31_t)0x0EE38765, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B,
+	(q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7ED5E5C6,
+	(q31_t)0x1139F0CE, (q31_t)0x7EBA3A39, (q31_t)0x120116D4,
+	(q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E7F3956,
+	(q31_t)0x138EDBB0, (q31_t)0x7E5FE493, (q31_t)0x145576B1,
+	(q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E1D93E9,
+	(q31_t)0x15E21444, (q31_t)0x7DFA98A7, (q31_t)0x16A81305,
+	(q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DB0FDF7,
+	(q31_t)0x183366E8, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+	(q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D3980EC,
+	(q31_t)0x1A82A025, (q31_t)0x7D0F4218, (q31_t)0x1B4732EF,
+	(q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CB72724,
+	(q31_t)0x1CCF8CB3, (q31_t)0x7C894BDD, (q31_t)0x1D934FE5,
+	(q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C29FBEE,
+	(q31_t)0x1F19F97B, (q31_t)0x7BF88830, (q31_t)0x1FDCDC1A,
+	(q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B920B89,
+	(q31_t)0x2161B39F, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5,
+	(q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7AEF6323,
+	(q31_t)0x23A6887E, (q31_t)0x7AB6CBA3, (q31_t)0x24677757,
+	(q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A4210D8,
+	(q31_t)0x25E845B5, (q31_t)0x7A05EEAD, (q31_t)0x26A82185,
+	(q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x798A23B1,
+	(q31_t)0x2826B928, (q31_t)0x794A7C11, (q31_t)0x28E5714A,
+	(q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78C7ABA1,
+	(q31_t)0x2A61B101, (q31_t)0x78848413, (q31_t)0x2B1F34EB,
+	(q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x77FAB988,
+	(q31_t)0x2C98FBBA, (q31_t)0x77B417DF, (q31_t)0x2D553AFB,
+	(q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x77235F2D,
+	(q31_t)0x2ECC681E, (q31_t)0x76D94988, (q31_t)0x2F875262,
+	(q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x7641AF3C,
+	(q31_t)0x30FBC54D, (q31_t)0x75F42C0A, (q31_t)0x31B54A5D,
+	(q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7555BD4B,
+	(q31_t)0x3326E2C2, (q31_t)0x7504D345, (q31_t)0x33DEF287,
+	(q31_t)0x74B2C883, (q31_t)0x3496824F, (q31_t)0x745F9DD1,
+	(q31_t)0x354D9056, (q31_t)0x740B53FA, (q31_t)0x36041AD9,
+	(q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x735F6626,
+	(q31_t)0x376F9E46, (q31_t)0x7307C3D0, (q31_t)0x382493B0,
+	(q31_t)0x72AF05A6, (q31_t)0x38D8FE93, (q31_t)0x72552C84,
+	(q31_t)0x398CDD32, (q31_t)0x71FA3948, (q31_t)0x3A402DD1,
+	(q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x71410804,
+	(q31_t)0x3BA51E29, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70,
+	(q31_t)0x708378FE, (q31_t)0x3D07C1D5, (q31_t)0x70231099,
+	(q31_t)0x3DB832A5, (q31_t)0x6FC19385, (q31_t)0x3E680B2C,
+	(q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6EFB5F12,
+	(q31_t)0x3FC5EC97, (q31_t)0x6E96A99C, (q31_t)0x4073F21D,
+	(q31_t)0x6E30E349, (q31_t)0x4121589A, (q31_t)0x6DCA0D14,
+	(q31_t)0x41CE1E64, (q31_t)0x6D6227FA, (q31_t)0x427A41D0,
+	(q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C8F351C,
+	(q31_t)0x43D09AEC, (q31_t)0x6C242960, (q31_t)0x447ACD50,
+	(q31_t)0x6BB812D0, (q31_t)0x452456BC, (q31_t)0x6B4AF278,
+	(q31_t)0x45CD358F, (q31_t)0x6ADCC964, (q31_t)0x46756827,
+	(q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x69FD614A,
+	(q31_t)0x47C3C22E, (q31_t)0x698C246C, (q31_t)0x4869E664,
+	(q31_t)0x6919E320, (q31_t)0x490F57EE, (q31_t)0x68A69E81,
+	(q31_t)0x49B41533, (q31_t)0x683257AA, (q31_t)0x4A581C9D,
+	(q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x6746C7D7,
+	(q31_t)0x4B9E038F, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3,
+	(q31_t)0x66573CBB, (q31_t)0x4CE10034, (q31_t)0x65DDFBD3,
+	(q31_t)0x4D8162C4, (q31_t)0x6563BF92, (q31_t)0x4E210617,
+	(q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x646C59BF,
+	(q31_t)0x4F5E08E3, (q31_t)0x63EF328F, (q31_t)0x4FFB654D,
+	(q31_t)0x637114CC, (q31_t)0x5097FC5E, (q31_t)0x62F201AC,
+	(q31_t)0x5133CC94, (q31_t)0x6271FA69, (q31_t)0x51CED46E,
+	(q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x616F146B,
+	(q31_t)0x53028517, (q31_t)0x60EC3830, (q31_t)0x539B2AEF,
+	(q31_t)0x60686CCE, (q31_t)0x5433027D, (q31_t)0x5FE3B38D,
+	(q31_t)0x54CA0A4A, (q31_t)0x5F5E0DB3, (q31_t)0x556040E2,
+	(q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5E50015D,
+	(q31_t)0x568A34A9, (q31_t)0x5DC79D7C, (q31_t)0x571DEEF9,
+	(q31_t)0x5D3E5236, (q31_t)0x57B0D256, (q31_t)0x5CB420DF,
+	(q31_t)0x5842DD54, (q31_t)0x5C290ACC, (q31_t)0x58D40E8C,
+	(q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5B1035CF,
+	(q31_t)0x59F3DE12, (q31_t)0x5A82799A, (q31_t)0x5A82799A,
+	(q31_t)0x59F3DE12, (q31_t)0x5B1035CF, (q31_t)0x59646497,
+	(q31_t)0x5B9D1153, (q31_t)0x58D40E8C, (q31_t)0x5C290ACC,
+	(q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x57B0D256,
+	(q31_t)0x5D3E5236, (q31_t)0x571DEEF9, (q31_t)0x5DC79D7C,
+	(q31_t)0x568A34A9, (q31_t)0x5E50015D, (q31_t)0x55F5A4D2,
+	(q31_t)0x5ED77C89, (q31_t)0x556040E2, (q31_t)0x5F5E0DB3,
+	(q31_t)0x54CA0A4A, (q31_t)0x5FE3B38D, (q31_t)0x5433027D,
+	(q31_t)0x60686CCE, (q31_t)0x539B2AEF, (q31_t)0x60EC3830,
+	(q31_t)0x53028517, (q31_t)0x616F146B, (q31_t)0x5269126E,
+	(q31_t)0x61F1003E, (q31_t)0x51CED46E, (q31_t)0x6271FA69,
+	(q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x5097FC5E,
+	(q31_t)0x637114CC, (q31_t)0x4FFB654D, (q31_t)0x63EF328F,
+	(q31_t)0x4F5E08E3, (q31_t)0x646C59BF, (q31_t)0x4EBFE8A4,
+	(q31_t)0x64E88926, (q31_t)0x4E210617, (q31_t)0x6563BF92,
+	(q31_t)0x4D8162C4, (q31_t)0x65DDFBD3, (q31_t)0x4CE10034,
+	(q31_t)0x66573CBB, (q31_t)0x4C3FDFF3, (q31_t)0x66CF811F,
+	(q31_t)0x4B9E038F, (q31_t)0x6746C7D7, (q31_t)0x4AFB6C97,
+	(q31_t)0x67BD0FBC, (q31_t)0x4A581C9D, (q31_t)0x683257AA,
+	(q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x490F57EE,
+	(q31_t)0x6919E320, (q31_t)0x4869E664, (q31_t)0x698C246C,
+	(q31_t)0x47C3C22E, (q31_t)0x69FD614A, (q31_t)0x471CECE6,
+	(q31_t)0x6A6D98A4, (q31_t)0x46756827, (q31_t)0x6ADCC964,
+	(q31_t)0x45CD358F, (q31_t)0x6B4AF278, (q31_t)0x452456BC,
+	(q31_t)0x6BB812D0, (q31_t)0x447ACD50, (q31_t)0x6C242960,
+	(q31_t)0x43D09AEC, (q31_t)0x6C8F351C, (q31_t)0x4325C135,
+	(q31_t)0x6CF934FB, (q31_t)0x427A41D0, (q31_t)0x6D6227FA,
+	(q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x4121589A,
+	(q31_t)0x6E30E349, (q31_t)0x4073F21D, (q31_t)0x6E96A99C,
+	(q31_t)0x3FC5EC97, (q31_t)0x6EFB5F12, (q31_t)0x3F1749B7,
+	(q31_t)0x6F5F02B1, (q31_t)0x3E680B2C, (q31_t)0x6FC19385,
+	(q31_t)0x3DB832A5, (q31_t)0x70231099, (q31_t)0x3D07C1D5,
+	(q31_t)0x708378FE, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6,
+	(q31_t)0x3BA51E29, (q31_t)0x71410804, (q31_t)0x3AF2EEB7,
+	(q31_t)0x719E2CD2, (q31_t)0x3A402DD1, (q31_t)0x71FA3948,
+	(q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x38D8FE93,
+	(q31_t)0x72AF05A6, (q31_t)0x382493B0, (q31_t)0x7307C3D0,
+	(q31_t)0x376F9E46, (q31_t)0x735F6626, (q31_t)0x36BA2013,
+	(q31_t)0x73B5EBD0, (q31_t)0x36041AD9, (q31_t)0x740B53FA,
+	(q31_t)0x354D9056, (q31_t)0x745F9DD1, (q31_t)0x3496824F,
+	(q31_t)0x74B2C883, (q31_t)0x33DEF287, (q31_t)0x7504D345,
+	(q31_t)0x3326E2C2, (q31_t)0x7555BD4B, (q31_t)0x326E54C7,
+	(q31_t)0x75A585CF, (q31_t)0x31B54A5D, (q31_t)0x75F42C0A,
+	(q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x3041C760,
+	(q31_t)0x768E0EA5, (q31_t)0x2F875262, (q31_t)0x76D94988,
+	(q31_t)0x2ECC681E, (q31_t)0x77235F2D, (q31_t)0x2E110A62,
+	(q31_t)0x776C4EDB, (q31_t)0x2D553AFB, (q31_t)0x77B417DF,
+	(q31_t)0x2C98FBBA, (q31_t)0x77FAB988, (q31_t)0x2BDC4E6F,
+	(q31_t)0x78403328, (q31_t)0x2B1F34EB, (q31_t)0x78848413,
+	(q31_t)0x2A61B101, (q31_t)0x78C7ABA1, (q31_t)0x29A3C484,
+	(q31_t)0x7909A92C, (q31_t)0x28E5714A, (q31_t)0x794A7C11,
+	(q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x27679DF4,
+	(q31_t)0x79C89F6D, (q31_t)0x26A82185, (q31_t)0x7A05EEAD,
+	(q31_t)0x25E845B5, (q31_t)0x7A4210D8, (q31_t)0x25280C5D,
+	(q31_t)0x7A7D055B, (q31_t)0x24677757, (q31_t)0x7AB6CBA3,
+	(q31_t)0x23A6887E, (q31_t)0x7AEF6323, (q31_t)0x22E541AE,
+	(q31_t)0x7B26CB4F, (q31_t)0x2223A4C5, (q31_t)0x7B5D039D,
+	(q31_t)0x2161B39F, (q31_t)0x7B920B89, (q31_t)0x209F701C,
+	(q31_t)0x7BC5E28F, (q31_t)0x1FDCDC1A, (q31_t)0x7BF88830,
+	(q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1E56CA1E,
+	(q31_t)0x7C5A3D4F, (q31_t)0x1D934FE5, (q31_t)0x7C894BDD,
+	(q31_t)0x1CCF8CB3, (q31_t)0x7CB72724, (q31_t)0x1C0B826A,
+	(q31_t)0x7CE3CEB1, (q31_t)0x1B4732EF, (q31_t)0x7D0F4218,
+	(q31_t)0x1A82A025, (q31_t)0x7D3980EC, (q31_t)0x19BDCBF2,
+	(q31_t)0x7D628AC5, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F,
+	(q31_t)0x183366E8, (q31_t)0x7DB0FDF7, (q31_t)0x176DD9DE,
+	(q31_t)0x7DD6668E, (q31_t)0x16A81305, (q31_t)0x7DFA98A7,
+	(q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x151BDF85,
+	(q31_t)0x7E3F57FE, (q31_t)0x145576B1, (q31_t)0x7E5FE493,
+	(q31_t)0x138EDBB0, (q31_t)0x7E7F3956, (q31_t)0x12C8106E,
+	(q31_t)0x7E9D55FC, (q31_t)0x120116D4, (q31_t)0x7EBA3A39,
+	(q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x1072A047,
+	(q31_t)0x7EF0585F, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3,
+	(q31_t)0x0EE38765, (q31_t)0x7F2191B4, (q31_t)0x0E1BC2E3,
+	(q31_t)0x7F3857F5, (q31_t)0x0D53DB92, (q31_t)0x7F4DE450,
+	(q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0BC3AC35,
+	(q31_t)0x7F754E7F, (q31_t)0x0AFB6805, (q31_t)0x7F872BF3,
+	(q31_t)0x0A3308BC, (q31_t)0x7F97CEBC, (q31_t)0x096A9049,
+	(q31_t)0x7FA736B4, (q31_t)0x08A2009A, (q31_t)0x7FB563B2,
+	(q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x0710A344,
+	(q31_t)0x7FCE0C3E, (q31_t)0x0647D97C, (q31_t)0x7FD8878D,
+	(q31_t)0x057F0034, (q31_t)0x7FE1C76B, (q31_t)0x04B6195D,
+	(q31_t)0x7FE9CBC0, (q31_t)0x03ED26E6, (q31_t)0x7FF09477,
+	(q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x025B26D7,
+	(q31_t)0x7FFA72D1, (q31_t)0x01921D1F, (q31_t)0x7FFD885A,
+	(q31_t)0x00C90F88, (q31_t)0x7FFF6216, (q31_t)0x00000000,
+	(q31_t)0x7FFFFFFF, (q31_t)0xFF36F078, (q31_t)0x7FFF6216,
+	(q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFDA4D928,
+	(q31_t)0x7FFA72D1, (q31_t)0xFCDBD541, (q31_t)0x7FF62182,
+	(q31_t)0xFC12D919, (q31_t)0x7FF09477, (q31_t)0xFB49E6A2,
+	(q31_t)0x7FE9CBC0, (q31_t)0xFA80FFCB, (q31_t)0x7FE1C76B,
+	(q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF8EF5CBB,
+	(q31_t)0x7FCE0C3E, (q31_t)0xF826A461, (q31_t)0x7FC25596,
+	(q31_t)0xF75DFF65, (q31_t)0x7FB563B2, (q31_t)0xF6956FB6,
+	(q31_t)0x7FA736B4, (q31_t)0xF5CCF743, (q31_t)0x7F97CEBC,
+	(q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF43C53CA,
+	(q31_t)0x7F754E7F, (q31_t)0xF3742CA1, (q31_t)0x7F62368F,
+	(q31_t)0xF2AC246D, (q31_t)0x7F4DE450, (q31_t)0xF1E43D1C,
+	(q31_t)0x7F3857F5, (q31_t)0xF11C789A, (q31_t)0x7F2191B4,
+	(q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xEF8D5FB8,
+	(q31_t)0x7EF0585F, (q31_t)0xEEC60F31, (q31_t)0x7ED5E5C6,
+	(q31_t)0xEDFEE92B, (q31_t)0x7EBA3A39, (q31_t)0xED37EF91,
+	(q31_t)0x7E9D55FC, (q31_t)0xEC71244F, (q31_t)0x7E7F3956,
+	(q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEAE4207A,
+	(q31_t)0x7E3F57FE, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9,
+	(q31_t)0xE957ECFB, (q31_t)0x7DFA98A7, (q31_t)0xE8922621,
+	(q31_t)0x7DD6668E, (q31_t)0xE7CC9917, (q31_t)0x7DB0FDF7,
+	(q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE642340D,
+	(q31_t)0x7D628AC5, (q31_t)0xE57D5FDA, (q31_t)0x7D3980EC,
+	(q31_t)0xE4B8CD10, (q31_t)0x7D0F4218, (q31_t)0xE3F47D95,
+	(q31_t)0x7CE3CEB1, (q31_t)0xE330734C, (q31_t)0x7CB72724,
+	(q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE1A935E1,
+	(q31_t)0x7C5A3D4F, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE,
+	(q31_t)0xE02323E5, (q31_t)0x7BF88830, (q31_t)0xDF608FE3,
+	(q31_t)0x7BC5E28F, (q31_t)0xDE9E4C60, (q31_t)0x7B920B89,
+	(q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDD1ABE51,
+	(q31_t)0x7B26CB4F, (q31_t)0xDC597781, (q31_t)0x7AEF6323,
+	(q31_t)0xDB9888A8, (q31_t)0x7AB6CBA3, (q31_t)0xDAD7F3A2,
+	(q31_t)0x7A7D055B, (q31_t)0xDA17BA4A, (q31_t)0x7A4210D8,
+	(q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD898620C,
+	(q31_t)0x79C89F6D, (q31_t)0xD7D946D7, (q31_t)0x798A23B1,
+	(q31_t)0xD71A8EB5, (q31_t)0x794A7C11, (q31_t)0xD65C3B7B,
+	(q31_t)0x7909A92C, (q31_t)0xD59E4EFE, (q31_t)0x78C7ABA1,
+	(q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD423B190,
+	(q31_t)0x78403328, (q31_t)0xD3670445, (q31_t)0x77FAB988,
+	(q31_t)0xD2AAC504, (q31_t)0x77B417DF, (q31_t)0xD1EEF59E,
+	(q31_t)0x776C4EDB, (q31_t)0xD13397E1, (q31_t)0x77235F2D,
+	(q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xCFBE389F,
+	(q31_t)0x768E0EA5, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+	(q31_t)0xCE4AB5A2, (q31_t)0x75F42C0A, (q31_t)0xCD91AB38,
+	(q31_t)0x75A585CF, (q31_t)0xCCD91D3D, (q31_t)0x7555BD4B,
+	(q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCB697DB0,
+	(q31_t)0x74B2C883, (q31_t)0xCAB26FA9, (q31_t)0x745F9DD1,
+	(q31_t)0xC9FBE527, (q31_t)0x740B53FA, (q31_t)0xC945DFEC,
+	(q31_t)0x73B5EBD0, (q31_t)0xC89061BA, (q31_t)0x735F6626,
+	(q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC727016C,
+	(q31_t)0x72AF05A6, (q31_t)0xC67322CD, (q31_t)0x72552C84,
+	(q31_t)0xC5BFD22E, (q31_t)0x71FA3948, (q31_t)0xC50D1148,
+	(q31_t)0x719E2CD2, (q31_t)0xC45AE1D7, (q31_t)0x71410804,
+	(q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC2F83E2A,
+	(q31_t)0x708378FE, (q31_t)0xC247CD5A, (q31_t)0x70231099,
+	(q31_t)0xC197F4D3, (q31_t)0x6FC19385, (q31_t)0xC0E8B648,
+	(q31_t)0x6F5F02B1, (q31_t)0xC03A1368, (q31_t)0x6EFB5F12,
+	(q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBEDEA765,
+	(q31_t)0x6E30E349, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14,
+	(q31_t)0xBD85BE2F, (q31_t)0x6D6227FA, (q31_t)0xBCDA3ECA,
+	(q31_t)0x6CF934FB, (q31_t)0xBC2F6513, (q31_t)0x6C8F351C,
+	(q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBADBA943,
+	(q31_t)0x6BB812D0, (q31_t)0xBA32CA70, (q31_t)0x6B4AF278,
+	(q31_t)0xB98A97D8, (q31_t)0x6ADCC964, (q31_t)0xB8E31319,
+	(q31_t)0x6A6D98A4, (q31_t)0xB83C3DD1, (q31_t)0x69FD614A,
+	(q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB6F0A811,
+	(q31_t)0x6919E320, (q31_t)0xB64BEACC, (q31_t)0x68A69E81,
+	(q31_t)0xB5A7E362, (q31_t)0x683257AA, (q31_t)0xB5049368,
+	(q31_t)0x67BD0FBC, (q31_t)0xB461FC70, (q31_t)0x6746C7D7,
+	(q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB31EFFCB,
+	(q31_t)0x66573CBB, (q31_t)0xB27E9D3B, (q31_t)0x65DDFBD3,
+	(q31_t)0xB1DEF9E8, (q31_t)0x6563BF92, (q31_t)0xB140175B,
+	(q31_t)0x64E88926, (q31_t)0xB0A1F71C, (q31_t)0x646C59BF,
+	(q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAF6803A1,
+	(q31_t)0x637114CC, (q31_t)0xAECC336B, (q31_t)0x62F201AC,
+	(q31_t)0xAE312B91, (q31_t)0x6271FA69, (q31_t)0xAD96ED91,
+	(q31_t)0x61F1003E, (q31_t)0xACFD7AE8, (q31_t)0x616F146B,
+	(q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xABCCFD82,
+	(q31_t)0x60686CCE, (q31_t)0xAB35F5B5, (q31_t)0x5FE3B38D,
+	(q31_t)0xAA9FBF1D, (q31_t)0x5F5E0DB3, (q31_t)0xAA0A5B2D,
+	(q31_t)0x5ED77C89, (q31_t)0xA975CB56, (q31_t)0x5E50015D,
+	(q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA84F2DA9,
+	(q31_t)0x5D3E5236, (q31_t)0xA7BD22AB, (q31_t)0x5CB420DF,
+	(q31_t)0xA72BF173, (q31_t)0x5C290ACC, (q31_t)0xA69B9B68,
+	(q31_t)0x5B9D1153, (q31_t)0xA60C21ED, (q31_t)0x5B1035CF,
+	(q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA4EFCA31,
+	(q31_t)0x59F3DE12, (q31_t)0xA462EEAC, (q31_t)0x59646497,
+	(q31_t)0xA3D6F533, (q31_t)0x58D40E8C, (q31_t)0xA34BDF20,
+	(q31_t)0x5842DD54, (q31_t)0xA2C1ADC9, (q31_t)0x57B0D256,
+	(q31_t)0xA2386283, (q31_t)0x571DEEF9, (q31_t)0xA1AFFEA2,
+	(q31_t)0x568A34A9, (q31_t)0xA1288376, (q31_t)0x55F5A4D2,
+	(q31_t)0xA0A1F24C, (q31_t)0x556040E2, (q31_t)0xA01C4C72,
+	(q31_t)0x54CA0A4A, (q31_t)0x9F979331, (q31_t)0x5433027D,
+	(q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9E90EB94,
+	(q31_t)0x53028517, (q31_t)0x9E0EFFC1, (q31_t)0x5269126E,
+	(q31_t)0x9D8E0596, (q31_t)0x51CED46E, (q31_t)0x9D0DFE53,
+	(q31_t)0x5133CC94, (q31_t)0x9C8EEB33, (q31_t)0x5097FC5E,
+	(q31_t)0x9C10CD70, (q31_t)0x4FFB654D, (q31_t)0x9B93A640,
+	(q31_t)0x4F5E08E3, (q31_t)0x9B1776D9, (q31_t)0x4EBFE8A4,
+	(q31_t)0x9A9C406D, (q31_t)0x4E210617, (q31_t)0x9A22042C,
+	(q31_t)0x4D8162C4, (q31_t)0x99A8C344, (q31_t)0x4CE10034,
+	(q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x98B93828,
+	(q31_t)0x4B9E038F, (q31_t)0x9842F043, (q31_t)0x4AFB6C97,
+	(q31_t)0x97CDA855, (q31_t)0x4A581C9D, (q31_t)0x9759617E,
+	(q31_t)0x49B41533, (q31_t)0x96E61CDF, (q31_t)0x490F57EE,
+	(q31_t)0x9673DB94, (q31_t)0x4869E664, (q31_t)0x96029EB5,
+	(q31_t)0x47C3C22E, (q31_t)0x9592675B, (q31_t)0x471CECE6,
+	(q31_t)0x9523369B, (q31_t)0x46756827, (q31_t)0x94B50D87,
+	(q31_t)0x45CD358F, (q31_t)0x9447ED2F, (q31_t)0x452456BC,
+	(q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9370CAE4,
+	(q31_t)0x43D09AEC, (q31_t)0x9306CB04, (q31_t)0x4325C135,
+	(q31_t)0x929DD805, (q31_t)0x427A41D0, (q31_t)0x9235F2EB,
+	(q31_t)0x41CE1E64, (q31_t)0x91CF1CB6, (q31_t)0x4121589A,
+	(q31_t)0x91695663, (q31_t)0x4073F21D, (q31_t)0x9104A0ED,
+	(q31_t)0x3FC5EC97, (q31_t)0x90A0FD4E, (q31_t)0x3F1749B7,
+	(q31_t)0x903E6C7A, (q31_t)0x3E680B2C, (q31_t)0x8FDCEF66,
+	(q31_t)0x3DB832A5, (q31_t)0x8F7C8701, (q31_t)0x3D07C1D5,
+	(q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8EBEF7FB,
+	(q31_t)0x3BA51E29, (q31_t)0x8E61D32D, (q31_t)0x3AF2EEB7,
+	(q31_t)0x8E05C6B7, (q31_t)0x3A402DD1, (q31_t)0x8DAAD37B,
+	(q31_t)0x398CDD32, (q31_t)0x8D50FA59, (q31_t)0x38D8FE93,
+	(q31_t)0x8CF83C30, (q31_t)0x382493B0, (q31_t)0x8CA099D9,
+	(q31_t)0x376F9E46, (q31_t)0x8C4A142F, (q31_t)0x36BA2013,
+	(q31_t)0x8BF4AC05, (q31_t)0x36041AD9, (q31_t)0x8BA0622F,
+	(q31_t)0x354D9056, (q31_t)0x8B4D377C, (q31_t)0x3496824F,
+	(q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x8AAA42B4,
+	(q31_t)0x3326E2C2, (q31_t)0x8A5A7A30, (q31_t)0x326E54C7,
+	(q31_t)0x8A0BD3F5, (q31_t)0x31B54A5D, (q31_t)0x89BE50C3,
+	(q31_t)0x30FBC54D, (q31_t)0x8971F15A, (q31_t)0x3041C760,
+	(q31_t)0x8926B677, (q31_t)0x2F875262, (q31_t)0x88DCA0D3,
+	(q31_t)0x2ECC681E, (q31_t)0x8893B124, (q31_t)0x2E110A62,
+	(q31_t)0x884BE820, (q31_t)0x2D553AFB, (q31_t)0x88054677,
+	(q31_t)0x2C98FBBA, (q31_t)0x87BFCCD7, (q31_t)0x2BDC4E6F,
+	(q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8738545E,
+	(q31_t)0x2A61B101, (q31_t)0x86F656D3, (q31_t)0x29A3C484,
+	(q31_t)0x86B583EE, (q31_t)0x28E5714A, (q31_t)0x8675DC4E,
+	(q31_t)0x2826B928, (q31_t)0x86376092, (q31_t)0x27679DF4,
+	(q31_t)0x85FA1152, (q31_t)0x26A82185, (q31_t)0x85BDEF27,
+	(q31_t)0x25E845B5, (q31_t)0x8582FAA4, (q31_t)0x25280C5D,
+	(q31_t)0x8549345C, (q31_t)0x24677757, (q31_t)0x85109CDC,
+	(q31_t)0x23A6887E, (q31_t)0x84D934B0, (q31_t)0x22E541AE,
+	(q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x846DF476,
+	(q31_t)0x2161B39F, (q31_t)0x843A1D70, (q31_t)0x209F701C,
+	(q31_t)0x840777CF, (q31_t)0x1FDCDC1A, (q31_t)0x83D60411,
+	(q31_t)0x1F19F97B, (q31_t)0x83A5C2B0, (q31_t)0x1E56CA1E,
+	(q31_t)0x8376B422, (q31_t)0x1D934FE5, (q31_t)0x8348D8DB,
+	(q31_t)0x1CCF8CB3, (q31_t)0x831C314E, (q31_t)0x1C0B826A,
+	(q31_t)0x82F0BDE8, (q31_t)0x1B4732EF, (q31_t)0x82C67F13,
+	(q31_t)0x1A82A025, (q31_t)0x829D753A, (q31_t)0x19BDCBF2,
+	(q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x824F0208,
+	(q31_t)0x183366E8, (q31_t)0x82299971, (q31_t)0x176DD9DE,
+	(q31_t)0x82056758, (q31_t)0x16A81305, (q31_t)0x81E26C16,
+	(q31_t)0x15E21444, (q31_t)0x81C0A801, (q31_t)0x151BDF85,
+	(q31_t)0x81A01B6C, (q31_t)0x145576B1, (q31_t)0x8180C6A9,
+	(q31_t)0x138EDBB0, (q31_t)0x8162AA03, (q31_t)0x12C8106E,
+	(q31_t)0x8145C5C6, (q31_t)0x120116D4, (q31_t)0x812A1A39,
+	(q31_t)0x1139F0CE, (q31_t)0x810FA7A0, (q31_t)0x1072A047,
+	(q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80DE6E4C,
+	(q31_t)0x0EE38765, (q31_t)0x80C7A80A, (q31_t)0x0E1BC2E3,
+	(q31_t)0x80B21BAF, (q31_t)0x0D53DB92, (q31_t)0x809DC970,
+	(q31_t)0x0C8BD35E, (q31_t)0x808AB180, (q31_t)0x0BC3AC35,
+	(q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x80683143,
+	(q31_t)0x0A3308BC, (q31_t)0x8058C94C, (q31_t)0x096A9049,
+	(q31_t)0x804A9C4D, (q31_t)0x08A2009A, (q31_t)0x803DAA69,
+	(q31_t)0x07D95B9E, (q31_t)0x8031F3C1, (q31_t)0x0710A344,
+	(q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x801E3894,
+	(q31_t)0x057F0034, (q31_t)0x80163440, (q31_t)0x04B6195D,
+	(q31_t)0x800F6B88, (q31_t)0x03ED26E6, (q31_t)0x8009DE7D,
+	(q31_t)0x03242ABF, (q31_t)0x80058D2E, (q31_t)0x025B26D7,
+	(q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x80009DE9,
+	(q31_t)0x00C90F88, (q31_t)0x80000000, (q31_t)0x00000000,
+	(q31_t)0x80009DE9, (q31_t)0xFF36F078, (q31_t)0x800277A5,
+	(q31_t)0xFE6DE2E0, (q31_t)0x80058D2E, (q31_t)0xFDA4D928,
+	(q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x800F6B88,
+	(q31_t)0xFC12D919, (q31_t)0x80163440, (q31_t)0xFB49E6A2,
+	(q31_t)0x801E3894, (q31_t)0xFA80FFCB, (q31_t)0x80277872,
+	(q31_t)0xF9B82683, (q31_t)0x8031F3C1, (q31_t)0xF8EF5CBB,
+	(q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x804A9C4D,
+	(q31_t)0xF75DFF65, (q31_t)0x8058C94C, (q31_t)0xF6956FB6,
+	(q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x8078D40D,
+	(q31_t)0xF50497FA, (q31_t)0x808AB180, (q31_t)0xF43C53CA,
+	(q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80B21BAF,
+	(q31_t)0xF2AC246D, (q31_t)0x80C7A80A, (q31_t)0xF1E43D1C,
+	(q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80F66E3C,
+	(q31_t)0xF054D8D4, (q31_t)0x810FA7A0, (q31_t)0xEF8D5FB8,
+	(q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8145C5C6,
+	(q31_t)0xEDFEE92B, (q31_t)0x8162AA03, (q31_t)0xED37EF91,
+	(q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81A01B6C,
+	(q31_t)0xEBAA894E, (q31_t)0x81C0A801, (q31_t)0xEAE4207A,
+	(q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82056758,
+	(q31_t)0xE957ECFB, (q31_t)0x82299971, (q31_t)0xE8922621,
+	(q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x8275A0C0,
+	(q31_t)0xE70747C3, (q31_t)0x829D753A, (q31_t)0xE642340D,
+	(q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82F0BDE8,
+	(q31_t)0xE4B8CD10, (q31_t)0x831C314E, (q31_t)0xE3F47D95,
+	(q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x8376B422,
+	(q31_t)0xE26CB01A, (q31_t)0x83A5C2B0, (q31_t)0xE1A935E1,
+	(q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x840777CF,
+	(q31_t)0xE02323E5, (q31_t)0x843A1D70, (q31_t)0xDF608FE3,
+	(q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x84A2FC62,
+	(q31_t)0xDDDC5B3A, (q31_t)0x84D934B0, (q31_t)0xDD1ABE51,
+	(q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8549345C,
+	(q31_t)0xDB9888A8, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2,
+	(q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85FA1152,
+	(q31_t)0xD957DE7A, (q31_t)0x86376092, (q31_t)0xD898620C,
+	(q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86B583EE,
+	(q31_t)0xD71A8EB5, (q31_t)0x86F656D3, (q31_t)0xD65C3B7B,
+	(q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x877B7BEC,
+	(q31_t)0xD4E0CB14, (q31_t)0x87BFCCD7, (q31_t)0xD423B190,
+	(q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x884BE820,
+	(q31_t)0xD2AAC504, (q31_t)0x8893B124, (q31_t)0xD1EEF59E,
+	(q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x8926B677,
+	(q31_t)0xD078AD9D, (q31_t)0x8971F15A, (q31_t)0xCFBE389F,
+	(q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A0BD3F5,
+	(q31_t)0xCE4AB5A2, (q31_t)0x8A5A7A30, (q31_t)0xCD91AB38,
+	(q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8AFB2CBA,
+	(q31_t)0xCC210D78, (q31_t)0x8B4D377C, (q31_t)0xCB697DB0,
+	(q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BF4AC05,
+	(q31_t)0xC9FBE527, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC,
+	(q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CF83C30,
+	(q31_t)0xC7DB6C50, (q31_t)0x8D50FA59, (q31_t)0xC727016C,
+	(q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E05C6B7,
+	(q31_t)0xC5BFD22E, (q31_t)0x8E61D32D, (q31_t)0xC50D1148,
+	(q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8F1D343A,
+	(q31_t)0xC3A9458F, (q31_t)0x8F7C8701, (q31_t)0xC2F83E2A,
+	(q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x903E6C7A,
+	(q31_t)0xC197F4D3, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648,
+	(q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x91695663,
+	(q31_t)0xBF8C0DE2, (q31_t)0x91CF1CB6, (q31_t)0xBEDEA765,
+	(q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x929DD805,
+	(q31_t)0xBD85BE2F, (q31_t)0x9306CB04, (q31_t)0xBCDA3ECA,
+	(q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x93DBD69F,
+	(q31_t)0xBB8532AF, (q31_t)0x9447ED2F, (q31_t)0xBADBA943,
+	(q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9523369B,
+	(q31_t)0xB98A97D8, (q31_t)0x9592675B, (q31_t)0xB8E31319,
+	(q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x9673DB94,
+	(q31_t)0xB796199B, (q31_t)0x96E61CDF, (q31_t)0xB6F0A811,
+	(q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x97CDA855,
+	(q31_t)0xB5A7E362, (q31_t)0x9842F043, (q31_t)0xB5049368,
+	(q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x99307EE0,
+	(q31_t)0xB3C0200C, (q31_t)0x99A8C344, (q31_t)0xB31EFFCB,
+	(q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A9C406D,
+	(q31_t)0xB1DEF9E8, (q31_t)0x9B1776D9, (q31_t)0xB140175B,
+	(q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9C10CD70,
+	(q31_t)0xB0049AB2, (q31_t)0x9C8EEB33, (q31_t)0xAF6803A1,
+	(q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D8E0596,
+	(q31_t)0xAE312B91, (q31_t)0x9E0EFFC1, (q31_t)0xAD96ED91,
+	(q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9F13C7D0,
+	(q31_t)0xAC64D510, (q31_t)0x9F979331, (q31_t)0xABCCFD82,
+	(q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA0A1F24C,
+	(q31_t)0xAA9FBF1D, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D,
+	(q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA2386283,
+	(q31_t)0xA8E21106, (q31_t)0xA2C1ADC9, (q31_t)0xA84F2DA9,
+	(q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA3D6F533,
+	(q31_t)0xA72BF173, (q31_t)0xA462EEAC, (q31_t)0xA69B9B68,
+	(q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA57D8666,
+	(q31_t)0xA57D8666, (q31_t)0xA60C21ED, (q31_t)0xA4EFCA31,
+	(q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA72BF173,
+	(q31_t)0xA3D6F533, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20,
+	(q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA8E21106,
+	(q31_t)0xA2386283, (q31_t)0xA975CB56, (q31_t)0xA1AFFEA2,
+	(q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA9FBF1D,
+	(q31_t)0xA0A1F24C, (q31_t)0xAB35F5B5, (q31_t)0xA01C4C72,
+	(q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xAC64D510,
+	(q31_t)0x9F13C7D0, (q31_t)0xACFD7AE8, (q31_t)0x9E90EB94,
+	(q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAE312B91,
+	(q31_t)0x9D8E0596, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53,
+	(q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xB0049AB2,
+	(q31_t)0x9C10CD70, (q31_t)0xB0A1F71C, (q31_t)0x9B93A640,
+	(q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB1DEF9E8,
+	(q31_t)0x9A9C406D, (q31_t)0xB27E9D3B, (q31_t)0x9A22042C,
+	(q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB3C0200C,
+	(q31_t)0x99307EE0, (q31_t)0xB461FC70, (q31_t)0x98B93828,
+	(q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB5A7E362,
+	(q31_t)0x97CDA855, (q31_t)0xB64BEACC, (q31_t)0x9759617E,
+	(q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB796199B,
+	(q31_t)0x9673DB94, (q31_t)0xB83C3DD1, (q31_t)0x96029EB5,
+	(q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB98A97D8,
+	(q31_t)0x9523369B, (q31_t)0xBA32CA70, (q31_t)0x94B50D87,
+	(q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB8532AF,
+	(q31_t)0x93DBD69F, (q31_t)0xBC2F6513, (q31_t)0x9370CAE4,
+	(q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD85BE2F,
+	(q31_t)0x929DD805, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB,
+	(q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF8C0DE2,
+	(q31_t)0x91695663, (q31_t)0xC03A1368, (q31_t)0x9104A0ED,
+	(q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC197F4D3,
+	(q31_t)0x903E6C7A, (q31_t)0xC247CD5A, (q31_t)0x8FDCEF66,
+	(q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC3A9458F,
+	(q31_t)0x8F1D343A, (q31_t)0xC45AE1D7, (q31_t)0x8EBEF7FB,
+	(q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5BFD22E,
+	(q31_t)0x8E05C6B7, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B,
+	(q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7DB6C50,
+	(q31_t)0x8CF83C30, (q31_t)0xC89061BA, (q31_t)0x8CA099D9,
+	(q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9FBE527,
+	(q31_t)0x8BF4AC05, (q31_t)0xCAB26FA9, (q31_t)0x8BA0622F,
+	(q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCC210D78,
+	(q31_t)0x8AFB2CBA, (q31_t)0xCCD91D3D, (q31_t)0x8AAA42B4,
+	(q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCE4AB5A2,
+	(q31_t)0x8A0BD3F5, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+	(q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD078AD9D,
+	(q31_t)0x8926B677, (q31_t)0xD13397E1, (q31_t)0x88DCA0D3,
+	(q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD2AAC504,
+	(q31_t)0x884BE820, (q31_t)0xD3670445, (q31_t)0x88054677,
+	(q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD4E0CB14,
+	(q31_t)0x877B7BEC, (q31_t)0xD59E4EFE, (q31_t)0x8738545E,
+	(q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD71A8EB5,
+	(q31_t)0x86B583EE, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E,
+	(q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD957DE7A,
+	(q31_t)0x85FA1152, (q31_t)0xDA17BA4A, (q31_t)0x85BDEF27,
+	(q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB9888A8,
+	(q31_t)0x8549345C, (q31_t)0xDC597781, (q31_t)0x85109CDC,
+	(q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDDDC5B3A,
+	(q31_t)0x84A2FC62, (q31_t)0xDE9E4C60, (q31_t)0x846DF476,
+	(q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE02323E5,
+	(q31_t)0x840777CF, (q31_t)0xE0E60684, (q31_t)0x83D60411,
+	(q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE26CB01A,
+	(q31_t)0x8376B422, (q31_t)0xE330734C, (q31_t)0x8348D8DB,
+	(q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4B8CD10,
+	(q31_t)0x82F0BDE8, (q31_t)0xE57D5FDA, (q31_t)0x82C67F13,
+	(q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE70747C3,
+	(q31_t)0x8275A0C0, (q31_t)0xE7CC9917, (q31_t)0x824F0208,
+	(q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE957ECFB,
+	(q31_t)0x82056758, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16,
+	(q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEBAA894E,
+	(q31_t)0x81A01B6C, (q31_t)0xEC71244F, (q31_t)0x8180C6A9,
+	(q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEDFEE92B,
+	(q31_t)0x8145C5C6, (q31_t)0xEEC60F31, (q31_t)0x812A1A39,
+	(q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xF054D8D4,
+	(q31_t)0x80F66E3C, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C,
+	(q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2AC246D,
+	(q31_t)0x80B21BAF, (q31_t)0xF3742CA1, (q31_t)0x809DC970,
+	(q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF50497FA,
+	(q31_t)0x8078D40D, (q31_t)0xF5CCF743, (q31_t)0x80683143,
+	(q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF75DFF65,
+	(q31_t)0x804A9C4D, (q31_t)0xF826A461, (q31_t)0x803DAA69,
+	(q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9B82683,
+	(q31_t)0x80277872, (q31_t)0xFA80FFCB, (q31_t)0x801E3894,
+	(q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFC12D919,
+	(q31_t)0x800F6B88, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D,
+	(q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE6DE2E0,
+	(q31_t)0x800277A5, (q31_t)0xFF36F078, (q31_t)0x80009DE9
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_2048)
+/**
+  @par
+  Example code for Q31 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 2048, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to Q31(Fixed point 1.31):
+ 	round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_2048_q31[3072] = {
+	(q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFD885,
+	(q31_t)0x006487E3, (q31_t)0x7FFF6216, (q31_t)0x00C90F88,
+	(q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFD885A,
+	(q31_t)0x01921D1F, (q31_t)0x7FFC250F, (q31_t)0x01F6A296,
+	(q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF871A1,
+	(q31_t)0x02BFA9A4, (q31_t)0x7FF62182, (q31_t)0x03242ABF,
+	(q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF09477,
+	(q31_t)0x03ED26E6, (q31_t)0x7FED5790, (q31_t)0x0451A176,
+	(q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE5F108,
+	(q31_t)0x051A8E5C, (q31_t)0x7FE1C76B, (q31_t)0x057F0034,
+	(q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FD8878D,
+	(q31_t)0x0647D97C, (q31_t)0x7FD37152, (q31_t)0x06AC406F,
+	(q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC85853,
+	(q31_t)0x077501BE, (q31_t)0x7FC25596, (q31_t)0x07D95B9E,
+	(q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB563B2,
+	(q31_t)0x08A2009A, (q31_t)0x7FAE7494, (q31_t)0x09064B3A,
+	(q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F9FAA15,
+	(q31_t)0x09CECF89, (q31_t)0x7F97CEBC, (q31_t)0x0A3308BC,
+	(q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F872BF3,
+	(q31_t)0x0AFB6805, (q31_t)0x7F7E648B, (q31_t)0x0B5F8D9F,
+	(q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F6BE9D4,
+	(q31_t)0x0C27C389, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E,
+	(q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F4DE450,
+	(q31_t)0x0D53DB92, (q31_t)0x7F434563, (q31_t)0x0DB7D376,
+	(q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2D1C0E,
+	(q31_t)0x0E7FA99D, (q31_t)0x7F2191B4, (q31_t)0x0EE38765,
+	(q31_t)0x7F15B8EE, (q31_t)0x0F475BFE, (q31_t)0x7F0991C3,
+	(q31_t)0x0FAB272B, (q31_t)0x7EFD1C3C, (q31_t)0x100EE8AD,
+	(q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7EE34635,
+	(q31_t)0x10D64DBC, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE,
+	(q31_t)0x7EC8371A, (q31_t)0x119D8940, (q31_t)0x7EBA3A39,
+	(q31_t)0x120116D4, (q31_t)0x7EABEF2C, (q31_t)0x1264994E,
+	(q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E8E6EB1,
+	(q31_t)0x132B7BF9, (q31_t)0x7E7F3956, (q31_t)0x138EDBB0,
+	(q31_t)0x7E6FB5F3, (q31_t)0x13F22F57, (q31_t)0x7E5FE493,
+	(q31_t)0x145576B1, (q31_t)0x7E4FC53E, (q31_t)0x14B8B17F,
+	(q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E2E9CDF,
+	(q31_t)0x157F0086, (q31_t)0x7E1D93E9, (q31_t)0x15E21444,
+	(q31_t)0x7E0C3D29, (q31_t)0x16451A83, (q31_t)0x7DFA98A7,
+	(q31_t)0x16A81305, (q31_t)0x7DE8A670, (q31_t)0x170AFD8D,
+	(q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DC3D90D,
+	(q31_t)0x17D0A7BB, (q31_t)0x7DB0FDF7, (q31_t)0x183366E8,
+	(q31_t)0x7D9DD55A, (q31_t)0x18961727, (q31_t)0x7D8A5F3F,
+	(q31_t)0x18F8B83C, (q31_t)0x7D769BB5, (q31_t)0x195B49E9,
+	(q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D4E2C7E,
+	(q31_t)0x1A203E1B, (q31_t)0x7D3980EC, (q31_t)0x1A82A025,
+	(q31_t)0x7D24881A, (q31_t)0x1AE4F1D6, (q31_t)0x7D0F4218,
+	(q31_t)0x1B4732EF, (q31_t)0x7CF9AEF0, (q31_t)0x1BA96334,
+	(q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CCDA168,
+	(q31_t)0x1C6D9053, (q31_t)0x7CB72724, (q31_t)0x1CCF8CB3,
+	(q31_t)0x7CA05FF1, (q31_t)0x1D31774D, (q31_t)0x7C894BDD,
+	(q31_t)0x1D934FE5, (q31_t)0x7C71EAF8, (q31_t)0x1DF5163F,
+	(q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C4242F2,
+	(q31_t)0x1EB86B46, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B,
+	(q31_t)0x7C116853, (q31_t)0x1F7B7480, (q31_t)0x7BF88830,
+	(q31_t)0x1FDCDC1A, (q31_t)0x7BDF5B94, (q31_t)0x203E300D,
+	(q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7BAC1D31,
+	(q31_t)0x21009C0B, (q31_t)0x7B920B89, (q31_t)0x2161B39F,
+	(q31_t)0x7B77ADA8, (q31_t)0x21C2B69C, (q31_t)0x7B5D039D,
+	(q31_t)0x2223A4C5, (q31_t)0x7B420D7A, (q31_t)0x22847DDF,
+	(q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7B0B3D2C,
+	(q31_t)0x2345EFF7, (q31_t)0x7AEF6323, (q31_t)0x23A6887E,
+	(q31_t)0x7AD33D45, (q31_t)0x24070B07, (q31_t)0x7AB6CBA3,
+	(q31_t)0x24677757, (q31_t)0x7A9A0E4F, (q31_t)0x24C7CD32,
+	(q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A5FB0D8,
+	(q31_t)0x2588349D, (q31_t)0x7A4210D8, (q31_t)0x25E845B5,
+	(q31_t)0x7A24256E, (q31_t)0x26483F6C, (q31_t)0x7A05EEAD,
+	(q31_t)0x26A82185, (q31_t)0x79E76CA6, (q31_t)0x2707EBC6,
+	(q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x79A98715,
+	(q31_t)0x27C737D2, (q31_t)0x798A23B1, (q31_t)0x2826B928,
+	(q31_t)0x796A7554, (q31_t)0x288621B9, (q31_t)0x794A7C11,
+	(q31_t)0x28E5714A, (q31_t)0x792A37FE, (q31_t)0x2944A7A2,
+	(q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78E8CFB1,
+	(q31_t)0x2A02C7B8, (q31_t)0x78C7ABA1, (q31_t)0x2A61B101,
+	(q31_t)0x78A63D10, (q31_t)0x2AC08025, (q31_t)0x78848413,
+	(q31_t)0x2B1F34EB, (q31_t)0x786280BF, (q31_t)0x2B7DCF17,
+	(q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x781D9B64,
+	(q31_t)0x2C3AB2B9, (q31_t)0x77FAB988, (q31_t)0x2C98FBBA,
+	(q31_t)0x77D78DAA, (q31_t)0x2CF72939, (q31_t)0x77B417DF,
+	(q31_t)0x2D553AFB, (q31_t)0x7790583D, (q31_t)0x2DB330C7,
+	(q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x7747FBCE,
+	(q31_t)0x2E6EC792, (q31_t)0x77235F2D, (q31_t)0x2ECC681E,
+	(q31_t)0x76FE790E, (q31_t)0x2F29EBCC, (q31_t)0x76D94988,
+	(q31_t)0x2F875262, (q31_t)0x76B3D0B3, (q31_t)0x2FE49BA6,
+	(q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x76680376,
+	(q31_t)0x309ED555, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D,
+	(q31_t)0x761B1211, (q31_t)0x3158970D, (q31_t)0x75F42C0A,
+	(q31_t)0x31B54A5D, (q31_t)0x75CCFD42, (q31_t)0x3211DF03,
+	(q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x757DC5CA,
+	(q31_t)0x32CAAB6F, (q31_t)0x7555BD4B, (q31_t)0x3326E2C2,
+	(q31_t)0x752D6C6C, (q31_t)0x3382FA88, (q31_t)0x7504D345,
+	(q31_t)0x33DEF287, (q31_t)0x74DBF1EF, (q31_t)0x343ACA87,
+	(q31_t)0x74B2C883, (q31_t)0x3496824F, (q31_t)0x7489571B,
+	(q31_t)0x34F219A7, (q31_t)0x745F9DD1, (q31_t)0x354D9056,
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+	(q31_t)0x78E8CFB1, (q31_t)0x29A3C484, (q31_t)0x7909A92C,
+	(q31_t)0x2944A7A2, (q31_t)0x792A37FE, (q31_t)0x28E5714A,
+	(q31_t)0x794A7C11, (q31_t)0x288621B9, (q31_t)0x796A7554,
+	(q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x27C737D2,
+	(q31_t)0x79A98715, (q31_t)0x27679DF4, (q31_t)0x79C89F6D,
+	(q31_t)0x2707EBC6, (q31_t)0x79E76CA6, (q31_t)0x26A82185,
+	(q31_t)0x7A05EEAD, (q31_t)0x26483F6C, (q31_t)0x7A24256E,
+	(q31_t)0x25E845B5, (q31_t)0x7A4210D8, (q31_t)0x2588349D,
+	(q31_t)0x7A5FB0D8, (q31_t)0x25280C5D, (q31_t)0x7A7D055B,
+	(q31_t)0x24C7CD32, (q31_t)0x7A9A0E4F, (q31_t)0x24677757,
+	(q31_t)0x7AB6CBA3, (q31_t)0x24070B07, (q31_t)0x7AD33D45,
+	(q31_t)0x23A6887E, (q31_t)0x7AEF6323, (q31_t)0x2345EFF7,
+	(q31_t)0x7B0B3D2C, (q31_t)0x22E541AE, (q31_t)0x7B26CB4F,
+	(q31_t)0x22847DDF, (q31_t)0x7B420D7A, (q31_t)0x2223A4C5,
+	(q31_t)0x7B5D039D, (q31_t)0x21C2B69C, (q31_t)0x7B77ADA8,
+	(q31_t)0x2161B39F, (q31_t)0x7B920B89, (q31_t)0x21009C0B,
+	(q31_t)0x7BAC1D31, (q31_t)0x209F701C, (q31_t)0x7BC5E28F,
+	(q31_t)0x203E300D, (q31_t)0x7BDF5B94, (q31_t)0x1FDCDC1A,
+	(q31_t)0x7BF88830, (q31_t)0x1F7B7480, (q31_t)0x7C116853,
+	(q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1EB86B46,
+	(q31_t)0x7C4242F2, (q31_t)0x1E56CA1E, (q31_t)0x7C5A3D4F,
+	(q31_t)0x1DF5163F, (q31_t)0x7C71EAF8, (q31_t)0x1D934FE5,
+	(q31_t)0x7C894BDD, (q31_t)0x1D31774D, (q31_t)0x7CA05FF1,
+	(q31_t)0x1CCF8CB3, (q31_t)0x7CB72724, (q31_t)0x1C6D9053,
+	(q31_t)0x7CCDA168, (q31_t)0x1C0B826A, (q31_t)0x7CE3CEB1,
+	(q31_t)0x1BA96334, (q31_t)0x7CF9AEF0, (q31_t)0x1B4732EF,
+	(q31_t)0x7D0F4218, (q31_t)0x1AE4F1D6, (q31_t)0x7D24881A,
+	(q31_t)0x1A82A025, (q31_t)0x7D3980EC, (q31_t)0x1A203E1B,
+	(q31_t)0x7D4E2C7E, (q31_t)0x19BDCBF2, (q31_t)0x7D628AC5,
+	(q31_t)0x195B49E9, (q31_t)0x7D769BB5, (q31_t)0x18F8B83C,
+	(q31_t)0x7D8A5F3F, (q31_t)0x18961727, (q31_t)0x7D9DD55A,
+	(q31_t)0x183366E8, (q31_t)0x7DB0FDF7, (q31_t)0x17D0A7BB,
+	(q31_t)0x7DC3D90D, (q31_t)0x176DD9DE, (q31_t)0x7DD6668E,
+	(q31_t)0x170AFD8D, (q31_t)0x7DE8A670, (q31_t)0x16A81305,
+	(q31_t)0x7DFA98A7, (q31_t)0x16451A83, (q31_t)0x7E0C3D29,
+	(q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x157F0086,
+	(q31_t)0x7E2E9CDF, (q31_t)0x151BDF85, (q31_t)0x7E3F57FE,
+	(q31_t)0x14B8B17F, (q31_t)0x7E4FC53E, (q31_t)0x145576B1,
+	(q31_t)0x7E5FE493, (q31_t)0x13F22F57, (q31_t)0x7E6FB5F3,
+	(q31_t)0x138EDBB0, (q31_t)0x7E7F3956, (q31_t)0x132B7BF9,
+	(q31_t)0x7E8E6EB1, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC,
+	(q31_t)0x1264994E, (q31_t)0x7EABEF2C, (q31_t)0x120116D4,
+	(q31_t)0x7EBA3A39, (q31_t)0x119D8940, (q31_t)0x7EC8371A,
+	(q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x10D64DBC,
+	(q31_t)0x7EE34635, (q31_t)0x1072A047, (q31_t)0x7EF0585F,
+	(q31_t)0x100EE8AD, (q31_t)0x7EFD1C3C, (q31_t)0x0FAB272B,
+	(q31_t)0x7F0991C3, (q31_t)0x0F475BFE, (q31_t)0x7F15B8EE,
+	(q31_t)0x0EE38765, (q31_t)0x7F2191B4, (q31_t)0x0E7FA99D,
+	(q31_t)0x7F2D1C0E, (q31_t)0x0E1BC2E3, (q31_t)0x7F3857F5,
+	(q31_t)0x0DB7D376, (q31_t)0x7F434563, (q31_t)0x0D53DB92,
+	(q31_t)0x7F4DE450, (q31_t)0x0CEFDB75, (q31_t)0x7F5834B6,
+	(q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0C27C389,
+	(q31_t)0x7F6BE9D4, (q31_t)0x0BC3AC35, (q31_t)0x7F754E7F,
+	(q31_t)0x0B5F8D9F, (q31_t)0x7F7E648B, (q31_t)0x0AFB6805,
+	(q31_t)0x7F872BF3, (q31_t)0x0A973BA5, (q31_t)0x7F8FA4AF,
+	(q31_t)0x0A3308BC, (q31_t)0x7F97CEBC, (q31_t)0x09CECF89,
+	(q31_t)0x7F9FAA15, (q31_t)0x096A9049, (q31_t)0x7FA736B4,
+	(q31_t)0x09064B3A, (q31_t)0x7FAE7494, (q31_t)0x08A2009A,
+	(q31_t)0x7FB563B2, (q31_t)0x083DB0A7, (q31_t)0x7FBC040A,
+	(q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x077501BE,
+	(q31_t)0x7FC85853, (q31_t)0x0710A344, (q31_t)0x7FCE0C3E,
+	(q31_t)0x06AC406F, (q31_t)0x7FD37152, (q31_t)0x0647D97C,
+	(q31_t)0x7FD8878D, (q31_t)0x05E36EA9, (q31_t)0x7FDD4EEC,
+	(q31_t)0x057F0034, (q31_t)0x7FE1C76B, (q31_t)0x051A8E5C,
+	(q31_t)0x7FE5F108, (q31_t)0x04B6195D, (q31_t)0x7FE9CBC0,
+	(q31_t)0x0451A176, (q31_t)0x7FED5790, (q31_t)0x03ED26E6,
+	(q31_t)0x7FF09477, (q31_t)0x0388A9E9, (q31_t)0x7FF38273,
+	(q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x02BFA9A4,
+	(q31_t)0x7FF871A1, (q31_t)0x025B26D7, (q31_t)0x7FFA72D1,
+	(q31_t)0x01F6A296, (q31_t)0x7FFC250F, (q31_t)0x01921D1F,
+	(q31_t)0x7FFD885A, (q31_t)0x012D96B0, (q31_t)0x7FFE9CB2,
+	(q31_t)0x00C90F88, (q31_t)0x7FFF6216, (q31_t)0x006487E3,
+	(q31_t)0x7FFFD885, (q31_t)0x00000000, (q31_t)0x7FFFFFFF,
+	(q31_t)0xFF9B781D, (q31_t)0x7FFFD885, (q31_t)0xFF36F078,
+	(q31_t)0x7FFF6216, (q31_t)0xFED2694F, (q31_t)0x7FFE9CB2,
+	(q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFE095D69,
+	(q31_t)0x7FFC250F, (q31_t)0xFDA4D928, (q31_t)0x7FFA72D1,
+	(q31_t)0xFD40565B, (q31_t)0x7FF871A1, (q31_t)0xFCDBD541,
+	(q31_t)0x7FF62182, (q31_t)0xFC775616, (q31_t)0x7FF38273,
+	(q31_t)0xFC12D919, (q31_t)0x7FF09477, (q31_t)0xFBAE5E89,
+	(q31_t)0x7FED5790, (q31_t)0xFB49E6A2, (q31_t)0x7FE9CBC0,
+	(q31_t)0xFAE571A4, (q31_t)0x7FE5F108, (q31_t)0xFA80FFCB,
+	(q31_t)0x7FE1C76B, (q31_t)0xFA1C9156, (q31_t)0x7FDD4EEC,
+	(q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF953BF90,
+	(q31_t)0x7FD37152, (q31_t)0xF8EF5CBB, (q31_t)0x7FCE0C3E,
+	(q31_t)0xF88AFE41, (q31_t)0x7FC85853, (q31_t)0xF826A461,
+	(q31_t)0x7FC25596, (q31_t)0xF7C24F58, (q31_t)0x7FBC040A,
+	(q31_t)0xF75DFF65, (q31_t)0x7FB563B2, (q31_t)0xF6F9B4C5,
+	(q31_t)0x7FAE7494, (q31_t)0xF6956FB6, (q31_t)0x7FA736B4,
+	(q31_t)0xF6313076, (q31_t)0x7F9FAA15, (q31_t)0xF5CCF743,
+	(q31_t)0x7F97CEBC, (q31_t)0xF568C45A, (q31_t)0x7F8FA4AF,
+	(q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF4A07260,
+	(q31_t)0x7F7E648B, (q31_t)0xF43C53CA, (q31_t)0x7F754E7F,
+	(q31_t)0xF3D83C76, (q31_t)0x7F6BE9D4, (q31_t)0xF3742CA1,
+	(q31_t)0x7F62368F, (q31_t)0xF310248A, (q31_t)0x7F5834B6,
+	(q31_t)0xF2AC246D, (q31_t)0x7F4DE450, (q31_t)0xF2482C89,
+	(q31_t)0x7F434563, (q31_t)0xF1E43D1C, (q31_t)0x7F3857F5,
+	(q31_t)0xF1805662, (q31_t)0x7F2D1C0E, (q31_t)0xF11C789A,
+	(q31_t)0x7F2191B4, (q31_t)0xF0B8A401, (q31_t)0x7F15B8EE,
+	(q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xEFF11752,
+	(q31_t)0x7EFD1C3C, (q31_t)0xEF8D5FB8, (q31_t)0x7EF0585F,
+	(q31_t)0xEF29B243, (q31_t)0x7EE34635, (q31_t)0xEEC60F31,
+	(q31_t)0x7ED5E5C6, (q31_t)0xEE6276BF, (q31_t)0x7EC8371A,
+	(q31_t)0xEDFEE92B, (q31_t)0x7EBA3A39, (q31_t)0xED9B66B2,
+	(q31_t)0x7EABEF2C, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC,
+	(q31_t)0xECD48406, (q31_t)0x7E8E6EB1, (q31_t)0xEC71244F,
+	(q31_t)0x7E7F3956, (q31_t)0xEC0DD0A8, (q31_t)0x7E6FB5F3,
+	(q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEB474E80,
+	(q31_t)0x7E4FC53E, (q31_t)0xEAE4207A, (q31_t)0x7E3F57FE,
+	(q31_t)0xEA80FF79, (q31_t)0x7E2E9CDF, (q31_t)0xEA1DEBBB,
+	(q31_t)0x7E1D93E9, (q31_t)0xE9BAE57C, (q31_t)0x7E0C3D29,
+	(q31_t)0xE957ECFB, (q31_t)0x7DFA98A7, (q31_t)0xE8F50273,
+	(q31_t)0x7DE8A670, (q31_t)0xE8922621, (q31_t)0x7DD6668E,
+	(q31_t)0xE82F5844, (q31_t)0x7DC3D90D, (q31_t)0xE7CC9917,
+	(q31_t)0x7DB0FDF7, (q31_t)0xE769E8D8, (q31_t)0x7D9DD55A,
+	(q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE6A4B616,
+	(q31_t)0x7D769BB5, (q31_t)0xE642340D, (q31_t)0x7D628AC5,
+	(q31_t)0xE5DFC1E4, (q31_t)0x7D4E2C7E, (q31_t)0xE57D5FDA,
+	(q31_t)0x7D3980EC, (q31_t)0xE51B0E2A, (q31_t)0x7D24881A,
+	(q31_t)0xE4B8CD10, (q31_t)0x7D0F4218, (q31_t)0xE4569CCB,
+	(q31_t)0x7CF9AEF0, (q31_t)0xE3F47D95, (q31_t)0x7CE3CEB1,
+	(q31_t)0xE3926FAC, (q31_t)0x7CCDA168, (q31_t)0xE330734C,
+	(q31_t)0x7CB72724, (q31_t)0xE2CE88B2, (q31_t)0x7CA05FF1,
+	(q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE20AE9C1,
+	(q31_t)0x7C71EAF8, (q31_t)0xE1A935E1, (q31_t)0x7C5A3D4F,
+	(q31_t)0xE14794B9, (q31_t)0x7C4242F2, (q31_t)0xE0E60684,
+	(q31_t)0x7C29FBEE, (q31_t)0xE0848B7F, (q31_t)0x7C116853,
+	(q31_t)0xE02323E5, (q31_t)0x7BF88830, (q31_t)0xDFC1CFF2,
+	(q31_t)0x7BDF5B94, (q31_t)0xDF608FE3, (q31_t)0x7BC5E28F,
+	(q31_t)0xDEFF63F4, (q31_t)0x7BAC1D31, (q31_t)0xDE9E4C60,
+	(q31_t)0x7B920B89, (q31_t)0xDE3D4963, (q31_t)0x7B77ADA8,
+	(q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDD7B8220,
+	(q31_t)0x7B420D7A, (q31_t)0xDD1ABE51, (q31_t)0x7B26CB4F,
+	(q31_t)0xDCBA1008, (q31_t)0x7B0B3D2C, (q31_t)0xDC597781,
+	(q31_t)0x7AEF6323, (q31_t)0xDBF8F4F8, (q31_t)0x7AD33D45,
+	(q31_t)0xDB9888A8, (q31_t)0x7AB6CBA3, (q31_t)0xDB3832CD,
+	(q31_t)0x7A9A0E4F, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B,
+	(q31_t)0xDA77CB62, (q31_t)0x7A5FB0D8, (q31_t)0xDA17BA4A,
+	(q31_t)0x7A4210D8, (q31_t)0xD9B7C093, (q31_t)0x7A24256E,
+	(q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD8F81439,
+	(q31_t)0x79E76CA6, (q31_t)0xD898620C, (q31_t)0x79C89F6D,
+	(q31_t)0xD838C82D, (q31_t)0x79A98715, (q31_t)0xD7D946D7,
+	(q31_t)0x798A23B1, (q31_t)0xD779DE46, (q31_t)0x796A7554,
+	(q31_t)0xD71A8EB5, (q31_t)0x794A7C11, (q31_t)0xD6BB585D,
+	(q31_t)0x792A37FE, (q31_t)0xD65C3B7B, (q31_t)0x7909A92C,
+	(q31_t)0xD5FD3847, (q31_t)0x78E8CFB1, (q31_t)0xD59E4EFE,
+	(q31_t)0x78C7ABA1, (q31_t)0xD53F7FDA, (q31_t)0x78A63D10,
+	(q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD48230E8,
+	(q31_t)0x786280BF, (q31_t)0xD423B190, (q31_t)0x78403328,
+	(q31_t)0xD3C54D46, (q31_t)0x781D9B64, (q31_t)0xD3670445,
+	(q31_t)0x77FAB988, (q31_t)0xD308D6C6, (q31_t)0x77D78DAA,
+	(q31_t)0xD2AAC504, (q31_t)0x77B417DF, (q31_t)0xD24CCF38,
+	(q31_t)0x7790583D, (q31_t)0xD1EEF59E, (q31_t)0x776C4EDB,
+	(q31_t)0xD191386D, (q31_t)0x7747FBCE, (q31_t)0xD13397E1,
+	(q31_t)0x77235F2D, (q31_t)0xD0D61433, (q31_t)0x76FE790E,
+	(q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xD01B6459,
+	(q31_t)0x76B3D0B3, (q31_t)0xCFBE389F, (q31_t)0x768E0EA5,
+	(q31_t)0xCF612AAA, (q31_t)0x76680376, (q31_t)0xCF043AB2,
+	(q31_t)0x7641AF3C, (q31_t)0xCEA768F2, (q31_t)0x761B1211,
+	(q31_t)0xCE4AB5A2, (q31_t)0x75F42C0A, (q31_t)0xCDEE20FC,
+	(q31_t)0x75CCFD42, (q31_t)0xCD91AB38, (q31_t)0x75A585CF,
+	(q31_t)0xCD355490, (q31_t)0x757DC5CA, (q31_t)0xCCD91D3D,
+	(q31_t)0x7555BD4B, (q31_t)0xCC7D0577, (q31_t)0x752D6C6C,
+	(q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCBC53578,
+	(q31_t)0x74DBF1EF, (q31_t)0xCB697DB0, (q31_t)0x74B2C883,
+	(q31_t)0xCB0DE658, (q31_t)0x7489571B, (q31_t)0xCAB26FA9,
+	(q31_t)0x745F9DD1, (q31_t)0xCA5719DB, (q31_t)0x74359CBD,
+	(q31_t)0xC9FBE527, (q31_t)0x740B53FA, (q31_t)0xC9A0D1C4,
+	(q31_t)0x73E0C3A3, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0,
+	(q31_t)0xC8EB0FD6, (q31_t)0x738ACC9E, (q31_t)0xC89061BA,
+	(q31_t)0x735F6626, (q31_t)0xC835D5D0, (q31_t)0x7333B883,
+	(q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC7812571,
+	(q31_t)0x72DB8828, (q31_t)0xC727016C, (q31_t)0x72AF05A6,
+	(q31_t)0xC6CD0079, (q31_t)0x72823C66, (q31_t)0xC67322CD,
+	(q31_t)0x72552C84, (q31_t)0xC61968A2, (q31_t)0x7227D61C,
+	(q31_t)0xC5BFD22E, (q31_t)0x71FA3948, (q31_t)0xC5665FA8,
+	(q31_t)0x71CC5626, (q31_t)0xC50D1148, (q31_t)0x719E2CD2,
+	(q31_t)0xC4B3E746, (q31_t)0x716FBD68, (q31_t)0xC45AE1D7,
+	(q31_t)0x71410804, (q31_t)0xC4020132, (q31_t)0x71120CC5,
+	(q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC350AF25,
+	(q31_t)0x70B34524, (q31_t)0xC2F83E2A, (q31_t)0x708378FE,
+	(q31_t)0xC29FF2D4, (q31_t)0x70536771, (q31_t)0xC247CD5A,
+	(q31_t)0x70231099, (q31_t)0xC1EFCDF2, (q31_t)0x6FF27496,
+	(q31_t)0xC197F4D3, (q31_t)0x6FC19385, (q31_t)0xC1404233,
+	(q31_t)0x6F906D84, (q31_t)0xC0E8B648, (q31_t)0x6F5F02B1,
+	(q31_t)0xC0915147, (q31_t)0x6F2D532C, (q31_t)0xC03A1368,
+	(q31_t)0x6EFB5F12, (q31_t)0xBFE2FCDF, (q31_t)0x6EC92682,
+	(q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBF3546A8,
+	(q31_t)0x6E63E87F, (q31_t)0xBEDEA765, (q31_t)0x6E30E349,
+	(q31_t)0xBE88304F, (q31_t)0x6DFD9A1B, (q31_t)0xBE31E19B,
+	(q31_t)0x6DCA0D14, (q31_t)0xBDDBBB7F, (q31_t)0x6D963C54,
+	(q31_t)0xBD85BE2F, (q31_t)0x6D6227FA, (q31_t)0xBD2FE9E1,
+	(q31_t)0x6D2DD027, (q31_t)0xBCDA3ECA, (q31_t)0x6CF934FB,
+	(q31_t)0xBC84BD1E, (q31_t)0x6CC45697, (q31_t)0xBC2F6513,
+	(q31_t)0x6C8F351C, (q31_t)0xBBDA36DC, (q31_t)0x6C59D0A9,
+	(q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBB3058C0,
+	(q31_t)0x6BEE3F62, (q31_t)0xBADBA943, (q31_t)0x6BB812D0,
+	(q31_t)0xBA87246C, (q31_t)0x6B81A3CD, (q31_t)0xBA32CA70,
+	(q31_t)0x6B4AF278, (q31_t)0xB9DE9B83, (q31_t)0x6B13FEF5,
+	(q31_t)0xB98A97D8, (q31_t)0x6ADCC964, (q31_t)0xB936BFA3,
+	(q31_t)0x6AA551E8, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4,
+	(q31_t)0xB88F926C, (q31_t)0x6A359DB9, (q31_t)0xB83C3DD1,
+	(q31_t)0x69FD614A, (q31_t)0xB7E9157A, (q31_t)0x69C4E37A,
+	(q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB7434A67,
+	(q31_t)0x69532442, (q31_t)0xB6F0A811, (q31_t)0x6919E320,
+	(q31_t)0xB69E32CD, (q31_t)0x68E06129, (q31_t)0xB64BEACC,
+	(q31_t)0x68A69E81, (q31_t)0xB5F9D042, (q31_t)0x686C9B4B,
+	(q31_t)0xB5A7E362, (q31_t)0x683257AA, (q31_t)0xB556245E,
+	(q31_t)0x67F7D3C4, (q31_t)0xB5049368, (q31_t)0x67BD0FBC,
+	(q31_t)0xB4B330B2, (q31_t)0x67820BB6, (q31_t)0xB461FC70,
+	(q31_t)0x6746C7D7, (q31_t)0xB410F6D2, (q31_t)0x670B4443,
+	(q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB36F784E,
+	(q31_t)0x66937E90, (q31_t)0xB31EFFCB, (q31_t)0x66573CBB,
+	(q31_t)0xB2CEB6B5, (q31_t)0x661ABBC5, (q31_t)0xB27E9D3B,
+	(q31_t)0x65DDFBD3, (q31_t)0xB22EB392, (q31_t)0x65A0FD0B,
+	(q31_t)0xB1DEF9E8, (q31_t)0x6563BF92, (q31_t)0xB18F7070,
+	(q31_t)0x6526438E, (q31_t)0xB140175B, (q31_t)0x64E88926,
+	(q31_t)0xB0F0EEDA, (q31_t)0x64AA907F, (q31_t)0xB0A1F71C,
+	(q31_t)0x646C59BF, (q31_t)0xB0533055, (q31_t)0x642DE50D,
+	(q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAFB63667,
+	(q31_t)0x63B0426D, (q31_t)0xAF6803A1, (q31_t)0x637114CC,
+	(q31_t)0xAF1A0293, (q31_t)0x6331A9D4, (q31_t)0xAECC336B,
+	(q31_t)0x62F201AC, (q31_t)0xAE7E965B, (q31_t)0x62B21C7B,
+	(q31_t)0xAE312B91, (q31_t)0x6271FA69, (q31_t)0xADE3F33E,
+	(q31_t)0x62319B9D, (q31_t)0xAD96ED91, (q31_t)0x61F1003E,
+	(q31_t)0xAD4A1ABA, (q31_t)0x61B02876, (q31_t)0xACFD7AE8,
+	(q31_t)0x616F146B, (q31_t)0xACB10E4A, (q31_t)0x612DC446,
+	(q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAC18CF68,
+	(q31_t)0x60AA704F, (q31_t)0xABCCFD82, (q31_t)0x60686CCE,
+	(q31_t)0xAB815F8C, (q31_t)0x60262DD5, (q31_t)0xAB35F5B5,
+	(q31_t)0x5FE3B38D, (q31_t)0xAAEAC02B, (q31_t)0x5FA0FE1E,
+	(q31_t)0xAA9FBF1D, (q31_t)0x5F5E0DB3, (q31_t)0xAA54F2B9,
+	(q31_t)0x5F1AE273, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89,
+	(q31_t)0xA9BFF8A8, (q31_t)0x5E93DC1F, (q31_t)0xA975CB56,
+	(q31_t)0x5E50015D, (q31_t)0xA92BD366, (q31_t)0x5E0BEC6E,
+	(q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA8988463,
+	(q31_t)0x5D8314B0, (q31_t)0xA84F2DA9, (q31_t)0x5D3E5236,
+	(q31_t)0xA8060D08, (q31_t)0x5CF95638, (q31_t)0xA7BD22AB,
+	(q31_t)0x5CB420DF, (q31_t)0xA7746EC0, (q31_t)0x5C6EB258,
+	(q31_t)0xA72BF173, (q31_t)0x5C290ACC, (q31_t)0xA6E3AAF2,
+	(q31_t)0x5BE32A67, (q31_t)0xA69B9B68, (q31_t)0x5B9D1153,
+	(q31_t)0xA653C302, (q31_t)0x5B56BFBD, (q31_t)0xA60C21ED,
+	(q31_t)0x5B1035CF, (q31_t)0xA5C4B855, (q31_t)0x5AC973B4,
+	(q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA5368C4B,
+	(q31_t)0x5A3B47AA, (q31_t)0xA4EFCA31, (q31_t)0x59F3DE12,
+	(q31_t)0xA4A94042, (q31_t)0x59AC3CFD, (q31_t)0xA462EEAC,
+	(q31_t)0x59646497, (q31_t)0xA41CD598, (q31_t)0x591C550E,
+	(q31_t)0xA3D6F533, (q31_t)0x58D40E8C, (q31_t)0xA3914DA7,
+	(q31_t)0x588B913F, (q31_t)0xA34BDF20, (q31_t)0x5842DD54,
+	(q31_t)0xA306A9C7, (q31_t)0x57F9F2F7, (q31_t)0xA2C1ADC9,
+	(q31_t)0x57B0D256, (q31_t)0xA27CEB4F, (q31_t)0x57677B9D,
+	(q31_t)0xA2386283, (q31_t)0x571DEEF9, (q31_t)0xA1F41391,
+	(q31_t)0x56D42C99, (q31_t)0xA1AFFEA2, (q31_t)0x568A34A9,
+	(q31_t)0xA16C23E1, (q31_t)0x56400757, (q31_t)0xA1288376,
+	(q31_t)0x55F5A4D2, (q31_t)0xA0E51D8C, (q31_t)0x55AB0D46,
+	(q31_t)0xA0A1F24C, (q31_t)0x556040E2, (q31_t)0xA05F01E1,
+	(q31_t)0x55153FD4, (q31_t)0xA01C4C72, (q31_t)0x54CA0A4A,
+	(q31_t)0x9FD9D22A, (q31_t)0x547EA073, (q31_t)0x9F979331,
+	(q31_t)0x5433027D, (q31_t)0x9F558FB0, (q31_t)0x53E73097,
+	(q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9ED23BB9,
+	(q31_t)0x534EF1B5, (q31_t)0x9E90EB94, (q31_t)0x53028517,
+	(q31_t)0x9E4FD789, (q31_t)0x52B5E545, (q31_t)0x9E0EFFC1,
+	(q31_t)0x5269126E, (q31_t)0x9DCE6462, (q31_t)0x521C0CC1,
+	(q31_t)0x9D8E0596, (q31_t)0x51CED46E, (q31_t)0x9D4DE384,
+	(q31_t)0x518169A4, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94,
+	(q31_t)0x9CCE562B, (q31_t)0x50E5FD6C, (q31_t)0x9C8EEB33,
+	(q31_t)0x5097FC5E, (q31_t)0x9C4FBD92, (q31_t)0x5049C999,
+	(q31_t)0x9C10CD70, (q31_t)0x4FFB654D, (q31_t)0x9BD21AF2,
+	(q31_t)0x4FACCFAB, (q31_t)0x9B93A640, (q31_t)0x4F5E08E3,
+	(q31_t)0x9B556F80, (q31_t)0x4F0F1126, (q31_t)0x9B1776D9,
+	(q31_t)0x4EBFE8A4, (q31_t)0x9AD9BC71, (q31_t)0x4E708F8F,
+	(q31_t)0x9A9C406D, (q31_t)0x4E210617, (q31_t)0x9A5F02F5,
+	(q31_t)0x4DD14C6E, (q31_t)0x9A22042C, (q31_t)0x4D8162C4,
+	(q31_t)0x99E5443A, (q31_t)0x4D31494B, (q31_t)0x99A8C344,
+	(q31_t)0x4CE10034, (q31_t)0x996C816F, (q31_t)0x4C9087B1,
+	(q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x98F4BBBC,
+	(q31_t)0x4BEF092D, (q31_t)0x98B93828, (q31_t)0x4B9E038F,
+	(q31_t)0x987DF449, (q31_t)0x4B4CCF4D, (q31_t)0x9842F043,
+	(q31_t)0x4AFB6C97, (q31_t)0x98082C3B, (q31_t)0x4AA9DBA1,
+	(q31_t)0x97CDA855, (q31_t)0x4A581C9D, (q31_t)0x979364B5,
+	(q31_t)0x4A062FBD, (q31_t)0x9759617E, (q31_t)0x49B41533,
+	(q31_t)0x971F9ED6, (q31_t)0x4961CD32, (q31_t)0x96E61CDF,
+	(q31_t)0x490F57EE, (q31_t)0x96ACDBBD, (q31_t)0x48BCB598,
+	(q31_t)0x9673DB94, (q31_t)0x4869E664, (q31_t)0x963B1C85,
+	(q31_t)0x4816EA85, (q31_t)0x96029EB5, (q31_t)0x47C3C22E,
+	(q31_t)0x95CA6246, (q31_t)0x47706D93, (q31_t)0x9592675B,
+	(q31_t)0x471CECE6, (q31_t)0x955AAE17, (q31_t)0x46C9405C,
+	(q31_t)0x9523369B, (q31_t)0x46756827, (q31_t)0x94EC010B,
+	(q31_t)0x4621647C, (q31_t)0x94B50D87, (q31_t)0x45CD358F,
+	(q31_t)0x947E5C32, (q31_t)0x4578DB93, (q31_t)0x9447ED2F,
+	(q31_t)0x452456BC, (q31_t)0x9411C09D, (q31_t)0x44CFA73F,
+	(q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x93A62F56,
+	(q31_t)0x4425C923, (q31_t)0x9370CAE4, (q31_t)0x43D09AEC,
+	(q31_t)0x933BA968, (q31_t)0x437B42E1, (q31_t)0x9306CB04,
+	(q31_t)0x4325C135, (q31_t)0x92D22FD8, (q31_t)0x42D0161E,
+	(q31_t)0x929DD805, (q31_t)0x427A41D0, (q31_t)0x9269C3AC,
+	(q31_t)0x42244480, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64,
+	(q31_t)0x920265E4, (q31_t)0x4177CFB0, (q31_t)0x91CF1CB6,
+	(q31_t)0x4121589A, (q31_t)0x919C1780, (q31_t)0x40CAB957,
+	(q31_t)0x91695663, (q31_t)0x4073F21D, (q31_t)0x9136D97D,
+	(q31_t)0x401D0320, (q31_t)0x9104A0ED, (q31_t)0x3FC5EC97,
+	(q31_t)0x90D2ACD3, (q31_t)0x3F6EAEB8, (q31_t)0x90A0FD4E,
+	(q31_t)0x3F1749B7, (q31_t)0x906F927B, (q31_t)0x3EBFBDCC,
+	(q31_t)0x903E6C7A, (q31_t)0x3E680B2C, (q31_t)0x900D8B69,
+	(q31_t)0x3E10320D, (q31_t)0x8FDCEF66, (q31_t)0x3DB832A5,
+	(q31_t)0x8FAC988E, (q31_t)0x3D600D2B, (q31_t)0x8F7C8701,
+	(q31_t)0x3D07C1D5, (q31_t)0x8F4CBADB, (q31_t)0x3CAF50DA,
+	(q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8EEDF33B,
+	(q31_t)0x3BFDFECD, (q31_t)0x8EBEF7FB, (q31_t)0x3BA51E29,
+	(q31_t)0x8E904298, (q31_t)0x3B4C18BA, (q31_t)0x8E61D32D,
+	(q31_t)0x3AF2EEB7, (q31_t)0x8E33A9D9, (q31_t)0x3A99A057,
+	(q31_t)0x8E05C6B7, (q31_t)0x3A402DD1, (q31_t)0x8DD829E4,
+	(q31_t)0x39E6975D, (q31_t)0x8DAAD37B, (q31_t)0x398CDD32,
+	(q31_t)0x8D7DC399, (q31_t)0x3932FF87, (q31_t)0x8D50FA59,
+	(q31_t)0x38D8FE93, (q31_t)0x8D2477D8, (q31_t)0x387EDA8E,
+	(q31_t)0x8CF83C30, (q31_t)0x382493B0, (q31_t)0x8CCC477D,
+	(q31_t)0x37CA2A30, (q31_t)0x8CA099D9, (q31_t)0x376F9E46,
+	(q31_t)0x8C753361, (q31_t)0x3714F02A, (q31_t)0x8C4A142F,
+	(q31_t)0x36BA2013, (q31_t)0x8C1F3C5C, (q31_t)0x365F2E3B,
+	(q31_t)0x8BF4AC05, (q31_t)0x36041AD9, (q31_t)0x8BCA6342,
+	(q31_t)0x35A8E624, (q31_t)0x8BA0622F, (q31_t)0x354D9056,
+	(q31_t)0x8B76A8E4, (q31_t)0x34F219A7, (q31_t)0x8B4D377C,
+	(q31_t)0x3496824F, (q31_t)0x8B240E10, (q31_t)0x343ACA87,
+	(q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x8AD29393,
+	(q31_t)0x3382FA88, (q31_t)0x8AAA42B4, (q31_t)0x3326E2C2,
+	(q31_t)0x8A823A35, (q31_t)0x32CAAB6F, (q31_t)0x8A5A7A30,
+	(q31_t)0x326E54C7, (q31_t)0x8A3302BD, (q31_t)0x3211DF03,
+	(q31_t)0x8A0BD3F5, (q31_t)0x31B54A5D, (q31_t)0x89E4EDEE,
+	(q31_t)0x3158970D, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D,
+	(q31_t)0x8997FC89, (q31_t)0x309ED555, (q31_t)0x8971F15A,
+	(q31_t)0x3041C760, (q31_t)0x894C2F4C, (q31_t)0x2FE49BA6,
+	(q31_t)0x8926B677, (q31_t)0x2F875262, (q31_t)0x890186F1,
+	(q31_t)0x2F29EBCC, (q31_t)0x88DCA0D3, (q31_t)0x2ECC681E,
+	(q31_t)0x88B80431, (q31_t)0x2E6EC792, (q31_t)0x8893B124,
+	(q31_t)0x2E110A62, (q31_t)0x886FA7C2, (q31_t)0x2DB330C7,
+	(q31_t)0x884BE820, (q31_t)0x2D553AFB, (q31_t)0x88287255,
+	(q31_t)0x2CF72939, (q31_t)0x88054677, (q31_t)0x2C98FBBA,
+	(q31_t)0x87E2649B, (q31_t)0x2C3AB2B9, (q31_t)0x87BFCCD7,
+	(q31_t)0x2BDC4E6F, (q31_t)0x879D7F40, (q31_t)0x2B7DCF17,
+	(q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8759C2EF,
+	(q31_t)0x2AC08025, (q31_t)0x8738545E, (q31_t)0x2A61B101,
+	(q31_t)0x8717304E, (q31_t)0x2A02C7B8, (q31_t)0x86F656D3,
+	(q31_t)0x29A3C484, (q31_t)0x86D5C802, (q31_t)0x2944A7A2,
+	(q31_t)0x86B583EE, (q31_t)0x28E5714A, (q31_t)0x86958AAB,
+	(q31_t)0x288621B9, (q31_t)0x8675DC4E, (q31_t)0x2826B928,
+	(q31_t)0x865678EA, (q31_t)0x27C737D2, (q31_t)0x86376092,
+	(q31_t)0x27679DF4, (q31_t)0x86189359, (q31_t)0x2707EBC6,
+	(q31_t)0x85FA1152, (q31_t)0x26A82185, (q31_t)0x85DBDA91,
+	(q31_t)0x26483F6C, (q31_t)0x85BDEF27, (q31_t)0x25E845B5,
+	(q31_t)0x85A04F28, (q31_t)0x2588349D, (q31_t)0x8582FAA4,
+	(q31_t)0x25280C5D, (q31_t)0x8565F1B0, (q31_t)0x24C7CD32,
+	(q31_t)0x8549345C, (q31_t)0x24677757, (q31_t)0x852CC2BA,
+	(q31_t)0x24070B07, (q31_t)0x85109CDC, (q31_t)0x23A6887E,
+	(q31_t)0x84F4C2D3, (q31_t)0x2345EFF7, (q31_t)0x84D934B0,
+	(q31_t)0x22E541AE, (q31_t)0x84BDF285, (q31_t)0x22847DDF,
+	(q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x84885257,
+	(q31_t)0x21C2B69C, (q31_t)0x846DF476, (q31_t)0x2161B39F,
+	(q31_t)0x8453E2CE, (q31_t)0x21009C0B, (q31_t)0x843A1D70,
+	(q31_t)0x209F701C, (q31_t)0x8420A46B, (q31_t)0x203E300D,
+	(q31_t)0x840777CF, (q31_t)0x1FDCDC1A, (q31_t)0x83EE97AC,
+	(q31_t)0x1F7B7480, (q31_t)0x83D60411, (q31_t)0x1F19F97B,
+	(q31_t)0x83BDBD0D, (q31_t)0x1EB86B46, (q31_t)0x83A5C2B0,
+	(q31_t)0x1E56CA1E, (q31_t)0x838E1507, (q31_t)0x1DF5163F,
+	(q31_t)0x8376B422, (q31_t)0x1D934FE5, (q31_t)0x835FA00E,
+	(q31_t)0x1D31774D, (q31_t)0x8348D8DB, (q31_t)0x1CCF8CB3,
+	(q31_t)0x83325E97, (q31_t)0x1C6D9053, (q31_t)0x831C314E,
+	(q31_t)0x1C0B826A, (q31_t)0x8306510F, (q31_t)0x1BA96334,
+	(q31_t)0x82F0BDE8, (q31_t)0x1B4732EF, (q31_t)0x82DB77E5,
+	(q31_t)0x1AE4F1D6, (q31_t)0x82C67F13, (q31_t)0x1A82A025,
+	(q31_t)0x82B1D381, (q31_t)0x1A203E1B, (q31_t)0x829D753A,
+	(q31_t)0x19BDCBF2, (q31_t)0x8289644A, (q31_t)0x195B49E9,
+	(q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x82622AA5,
+	(q31_t)0x18961727, (q31_t)0x824F0208, (q31_t)0x183366E8,
+	(q31_t)0x823C26F2, (q31_t)0x17D0A7BB, (q31_t)0x82299971,
+	(q31_t)0x176DD9DE, (q31_t)0x8217598F, (q31_t)0x170AFD8D,
+	(q31_t)0x82056758, (q31_t)0x16A81305, (q31_t)0x81F3C2D7,
+	(q31_t)0x16451A83, (q31_t)0x81E26C16, (q31_t)0x15E21444,
+	(q31_t)0x81D16320, (q31_t)0x157F0086, (q31_t)0x81C0A801,
+	(q31_t)0x151BDF85, (q31_t)0x81B03AC1, (q31_t)0x14B8B17F,
+	(q31_t)0x81A01B6C, (q31_t)0x145576B1, (q31_t)0x81904A0C,
+	(q31_t)0x13F22F57, (q31_t)0x8180C6A9, (q31_t)0x138EDBB0,
+	(q31_t)0x8171914E, (q31_t)0x132B7BF9, (q31_t)0x8162AA03,
+	(q31_t)0x12C8106E, (q31_t)0x815410D3, (q31_t)0x1264994E,
+	(q31_t)0x8145C5C6, (q31_t)0x120116D4, (q31_t)0x8137C8E6,
+	(q31_t)0x119D8940, (q31_t)0x812A1A39, (q31_t)0x1139F0CE,
+	(q31_t)0x811CB9CA, (q31_t)0x10D64DBC, (q31_t)0x810FA7A0,
+	(q31_t)0x1072A047, (q31_t)0x8102E3C3, (q31_t)0x100EE8AD,
+	(q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80EA4712,
+	(q31_t)0x0F475BFE, (q31_t)0x80DE6E4C, (q31_t)0x0EE38765,
+	(q31_t)0x80D2E3F1, (q31_t)0x0E7FA99D, (q31_t)0x80C7A80A,
+	(q31_t)0x0E1BC2E3, (q31_t)0x80BCBA9C, (q31_t)0x0DB7D376,
+	(q31_t)0x80B21BAF, (q31_t)0x0D53DB92, (q31_t)0x80A7CB49,
+	(q31_t)0x0CEFDB75, (q31_t)0x809DC970, (q31_t)0x0C8BD35E,
+	(q31_t)0x8094162B, (q31_t)0x0C27C389, (q31_t)0x808AB180,
+	(q31_t)0x0BC3AC35, (q31_t)0x80819B74, (q31_t)0x0B5F8D9F,
+	(q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x80705B50,
+	(q31_t)0x0A973BA5, (q31_t)0x80683143, (q31_t)0x0A3308BC,
+	(q31_t)0x806055EA, (q31_t)0x09CECF89, (q31_t)0x8058C94C,
+	(q31_t)0x096A9049, (q31_t)0x80518B6B, (q31_t)0x09064B3A,
+	(q31_t)0x804A9C4D, (q31_t)0x08A2009A, (q31_t)0x8043FBF6,
+	(q31_t)0x083DB0A7, (q31_t)0x803DAA69, (q31_t)0x07D95B9E,
+	(q31_t)0x8037A7AC, (q31_t)0x077501BE, (q31_t)0x8031F3C1,
+	(q31_t)0x0710A344, (q31_t)0x802C8EAD, (q31_t)0x06AC406F,
+	(q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x8022B113,
+	(q31_t)0x05E36EA9, (q31_t)0x801E3894, (q31_t)0x057F0034,
+	(q31_t)0x801A0EF7, (q31_t)0x051A8E5C, (q31_t)0x80163440,
+	(q31_t)0x04B6195D, (q31_t)0x8012A86F, (q31_t)0x0451A176,
+	(q31_t)0x800F6B88, (q31_t)0x03ED26E6, (q31_t)0x800C7D8C,
+	(q31_t)0x0388A9E9, (q31_t)0x8009DE7D, (q31_t)0x03242ABF,
+	(q31_t)0x80078E5E, (q31_t)0x02BFA9A4, (q31_t)0x80058D2E,
+	(q31_t)0x025B26D7, (q31_t)0x8003DAF0, (q31_t)0x01F6A296,
+	(q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x8001634D,
+	(q31_t)0x012D96B0, (q31_t)0x80009DE9, (q31_t)0x00C90F88,
+	(q31_t)0x8000277A, (q31_t)0x006487E3, (q31_t)0x80000000,
+	(q31_t)0x00000000, (q31_t)0x8000277A, (q31_t)0xFF9B781D,
+	(q31_t)0x80009DE9, (q31_t)0xFF36F078, (q31_t)0x8001634D,
+	(q31_t)0xFED2694F, (q31_t)0x800277A5, (q31_t)0xFE6DE2E0,
+	(q31_t)0x8003DAF0, (q31_t)0xFE095D69, (q31_t)0x80058D2E,
+	(q31_t)0xFDA4D928, (q31_t)0x80078E5E, (q31_t)0xFD40565B,
+	(q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x800C7D8C,
+	(q31_t)0xFC775616, (q31_t)0x800F6B88, (q31_t)0xFC12D919,
+	(q31_t)0x8012A86F, (q31_t)0xFBAE5E89, (q31_t)0x80163440,
+	(q31_t)0xFB49E6A2, (q31_t)0x801A0EF7, (q31_t)0xFAE571A4,
+	(q31_t)0x801E3894, (q31_t)0xFA80FFCB, (q31_t)0x8022B113,
+	(q31_t)0xFA1C9156, (q31_t)0x80277872, (q31_t)0xF9B82683,
+	(q31_t)0x802C8EAD, (q31_t)0xF953BF90, (q31_t)0x8031F3C1,
+	(q31_t)0xF8EF5CBB, (q31_t)0x8037A7AC, (q31_t)0xF88AFE41,
+	(q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8043FBF6,
+	(q31_t)0xF7C24F58, (q31_t)0x804A9C4D, (q31_t)0xF75DFF65,
+	(q31_t)0x80518B6B, (q31_t)0xF6F9B4C5, (q31_t)0x8058C94C,
+	(q31_t)0xF6956FB6, (q31_t)0x806055EA, (q31_t)0xF6313076,
+	(q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x80705B50,
+	(q31_t)0xF568C45A, (q31_t)0x8078D40D, (q31_t)0xF50497FA,
+	(q31_t)0x80819B74, (q31_t)0xF4A07260, (q31_t)0x808AB180,
+	(q31_t)0xF43C53CA, (q31_t)0x8094162B, (q31_t)0xF3D83C76,
+	(q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80A7CB49,
+	(q31_t)0xF310248A, (q31_t)0x80B21BAF, (q31_t)0xF2AC246D,
+	(q31_t)0x80BCBA9C, (q31_t)0xF2482C89, (q31_t)0x80C7A80A,
+	(q31_t)0xF1E43D1C, (q31_t)0x80D2E3F1, (q31_t)0xF1805662,
+	(q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80EA4712,
+	(q31_t)0xF0B8A401, (q31_t)0x80F66E3C, (q31_t)0xF054D8D4,
+	(q31_t)0x8102E3C3, (q31_t)0xEFF11752, (q31_t)0x810FA7A0,
+	(q31_t)0xEF8D5FB8, (q31_t)0x811CB9CA, (q31_t)0xEF29B243,
+	(q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8137C8E6,
+	(q31_t)0xEE6276BF, (q31_t)0x8145C5C6, (q31_t)0xEDFEE92B,
+	(q31_t)0x815410D3, (q31_t)0xED9B66B2, (q31_t)0x8162AA03,
+	(q31_t)0xED37EF91, (q31_t)0x8171914E, (q31_t)0xECD48406,
+	(q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81904A0C,
+	(q31_t)0xEC0DD0A8, (q31_t)0x81A01B6C, (q31_t)0xEBAA894E,
+	(q31_t)0x81B03AC1, (q31_t)0xEB474E80, (q31_t)0x81C0A801,
+	(q31_t)0xEAE4207A, (q31_t)0x81D16320, (q31_t)0xEA80FF79,
+	(q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x81F3C2D7,
+	(q31_t)0xE9BAE57C, (q31_t)0x82056758, (q31_t)0xE957ECFB,
+	(q31_t)0x8217598F, (q31_t)0xE8F50273, (q31_t)0x82299971,
+	(q31_t)0xE8922621, (q31_t)0x823C26F2, (q31_t)0xE82F5844,
+	(q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x82622AA5,
+	(q31_t)0xE769E8D8, (q31_t)0x8275A0C0, (q31_t)0xE70747C3,
+	(q31_t)0x8289644A, (q31_t)0xE6A4B616, (q31_t)0x829D753A,
+	(q31_t)0xE642340D, (q31_t)0x82B1D381, (q31_t)0xE5DFC1E4,
+	(q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82DB77E5,
+	(q31_t)0xE51B0E2A, (q31_t)0x82F0BDE8, (q31_t)0xE4B8CD10,
+	(q31_t)0x8306510F, (q31_t)0xE4569CCB, (q31_t)0x831C314E,
+	(q31_t)0xE3F47D95, (q31_t)0x83325E97, (q31_t)0xE3926FAC,
+	(q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x835FA00E,
+	(q31_t)0xE2CE88B2, (q31_t)0x8376B422, (q31_t)0xE26CB01A,
+	(q31_t)0x838E1507, (q31_t)0xE20AE9C1, (q31_t)0x83A5C2B0,
+	(q31_t)0xE1A935E1, (q31_t)0x83BDBD0D, (q31_t)0xE14794B9,
+	(q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x83EE97AC,
+	(q31_t)0xE0848B7F, (q31_t)0x840777CF, (q31_t)0xE02323E5,
+	(q31_t)0x8420A46B, (q31_t)0xDFC1CFF2, (q31_t)0x843A1D70,
+	(q31_t)0xDF608FE3, (q31_t)0x8453E2CE, (q31_t)0xDEFF63F4,
+	(q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x84885257,
+	(q31_t)0xDE3D4963, (q31_t)0x84A2FC62, (q31_t)0xDDDC5B3A,
+	(q31_t)0x84BDF285, (q31_t)0xDD7B8220, (q31_t)0x84D934B0,
+	(q31_t)0xDD1ABE51, (q31_t)0x84F4C2D3, (q31_t)0xDCBA1008,
+	(q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x852CC2BA,
+	(q31_t)0xDBF8F4F8, (q31_t)0x8549345C, (q31_t)0xDB9888A8,
+	(q31_t)0x8565F1B0, (q31_t)0xDB3832CD, (q31_t)0x8582FAA4,
+	(q31_t)0xDAD7F3A2, (q31_t)0x85A04F28, (q31_t)0xDA77CB62,
+	(q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85DBDA91,
+	(q31_t)0xD9B7C093, (q31_t)0x85FA1152, (q31_t)0xD957DE7A,
+	(q31_t)0x86189359, (q31_t)0xD8F81439, (q31_t)0x86376092,
+	(q31_t)0xD898620C, (q31_t)0x865678EA, (q31_t)0xD838C82D,
+	(q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86958AAB,
+	(q31_t)0xD779DE46, (q31_t)0x86B583EE, (q31_t)0xD71A8EB5,
+	(q31_t)0x86D5C802, (q31_t)0xD6BB585D, (q31_t)0x86F656D3,
+	(q31_t)0xD65C3B7B, (q31_t)0x8717304E, (q31_t)0xD5FD3847,
+	(q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x8759C2EF,
+	(q31_t)0xD53F7FDA, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14,
+	(q31_t)0x879D7F40, (q31_t)0xD48230E8, (q31_t)0x87BFCCD7,
+	(q31_t)0xD423B190, (q31_t)0x87E2649B, (q31_t)0xD3C54D46,
+	(q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x88287255,
+	(q31_t)0xD308D6C6, (q31_t)0x884BE820, (q31_t)0xD2AAC504,
+	(q31_t)0x886FA7C2, (q31_t)0xD24CCF38, (q31_t)0x8893B124,
+	(q31_t)0xD1EEF59E, (q31_t)0x88B80431, (q31_t)0xD191386D,
+	(q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x890186F1,
+	(q31_t)0xD0D61433, (q31_t)0x8926B677, (q31_t)0xD078AD9D,
+	(q31_t)0x894C2F4C, (q31_t)0xD01B6459, (q31_t)0x8971F15A,
+	(q31_t)0xCFBE389F, (q31_t)0x8997FC89, (q31_t)0xCF612AAA,
+	(q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x89E4EDEE,
+	(q31_t)0xCEA768F2, (q31_t)0x8A0BD3F5, (q31_t)0xCE4AB5A2,
+	(q31_t)0x8A3302BD, (q31_t)0xCDEE20FC, (q31_t)0x8A5A7A30,
+	(q31_t)0xCD91AB38, (q31_t)0x8A823A35, (q31_t)0xCD355490,
+	(q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8AD29393,
+	(q31_t)0xCC7D0577, (q31_t)0x8AFB2CBA, (q31_t)0xCC210D78,
+	(q31_t)0x8B240E10, (q31_t)0xCBC53578, (q31_t)0x8B4D377C,
+	(q31_t)0xCB697DB0, (q31_t)0x8B76A8E4, (q31_t)0xCB0DE658,
+	(q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BCA6342,
+	(q31_t)0xCA5719DB, (q31_t)0x8BF4AC05, (q31_t)0xC9FBE527,
+	(q31_t)0x8C1F3C5C, (q31_t)0xC9A0D1C4, (q31_t)0x8C4A142F,
+	(q31_t)0xC945DFEC, (q31_t)0x8C753361, (q31_t)0xC8EB0FD6,
+	(q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CCC477D,
+	(q31_t)0xC835D5D0, (q31_t)0x8CF83C30, (q31_t)0xC7DB6C50,
+	(q31_t)0x8D2477D8, (q31_t)0xC7812571, (q31_t)0x8D50FA59,
+	(q31_t)0xC727016C, (q31_t)0x8D7DC399, (q31_t)0xC6CD0079,
+	(q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8DD829E4,
+	(q31_t)0xC61968A2, (q31_t)0x8E05C6B7, (q31_t)0xC5BFD22E,
+	(q31_t)0x8E33A9D9, (q31_t)0xC5665FA8, (q31_t)0x8E61D32D,
+	(q31_t)0xC50D1148, (q31_t)0x8E904298, (q31_t)0xC4B3E746,
+	(q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8EEDF33B,
+	(q31_t)0xC4020132, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F,
+	(q31_t)0x8F4CBADB, (q31_t)0xC350AF25, (q31_t)0x8F7C8701,
+	(q31_t)0xC2F83E2A, (q31_t)0x8FAC988E, (q31_t)0xC29FF2D4,
+	(q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x900D8B69,
+	(q31_t)0xC1EFCDF2, (q31_t)0x903E6C7A, (q31_t)0xC197F4D3,
+	(q31_t)0x906F927B, (q31_t)0xC1404233, (q31_t)0x90A0FD4E,
+	(q31_t)0xC0E8B648, (q31_t)0x90D2ACD3, (q31_t)0xC0915147,
+	(q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x9136D97D,
+	(q31_t)0xBFE2FCDF, (q31_t)0x91695663, (q31_t)0xBF8C0DE2,
+	(q31_t)0x919C1780, (q31_t)0xBF3546A8, (q31_t)0x91CF1CB6,
+	(q31_t)0xBEDEA765, (q31_t)0x920265E4, (q31_t)0xBE88304F,
+	(q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9269C3AC,
+	(q31_t)0xBDDBBB7F, (q31_t)0x929DD805, (q31_t)0xBD85BE2F,
+	(q31_t)0x92D22FD8, (q31_t)0xBD2FE9E1, (q31_t)0x9306CB04,
+	(q31_t)0xBCDA3ECA, (q31_t)0x933BA968, (q31_t)0xBC84BD1E,
+	(q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x93A62F56,
+	(q31_t)0xBBDA36DC, (q31_t)0x93DBD69F, (q31_t)0xBB8532AF,
+	(q31_t)0x9411C09D, (q31_t)0xBB3058C0, (q31_t)0x9447ED2F,
+	(q31_t)0xBADBA943, (q31_t)0x947E5C32, (q31_t)0xBA87246C,
+	(q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x94EC010B,
+	(q31_t)0xB9DE9B83, (q31_t)0x9523369B, (q31_t)0xB98A97D8,
+	(q31_t)0x955AAE17, (q31_t)0xB936BFA3, (q31_t)0x9592675B,
+	(q31_t)0xB8E31319, (q31_t)0x95CA6246, (q31_t)0xB88F926C,
+	(q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x963B1C85,
+	(q31_t)0xB7E9157A, (q31_t)0x9673DB94, (q31_t)0xB796199B,
+	(q31_t)0x96ACDBBD, (q31_t)0xB7434A67, (q31_t)0x96E61CDF,
+	(q31_t)0xB6F0A811, (q31_t)0x971F9ED6, (q31_t)0xB69E32CD,
+	(q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x979364B5,
+	(q31_t)0xB5F9D042, (q31_t)0x97CDA855, (q31_t)0xB5A7E362,
+	(q31_t)0x98082C3B, (q31_t)0xB556245E, (q31_t)0x9842F043,
+	(q31_t)0xB5049368, (q31_t)0x987DF449, (q31_t)0xB4B330B2,
+	(q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x98F4BBBC,
+	(q31_t)0xB410F6D2, (q31_t)0x99307EE0, (q31_t)0xB3C0200C,
+	(q31_t)0x996C816F, (q31_t)0xB36F784E, (q31_t)0x99A8C344,
+	(q31_t)0xB31EFFCB, (q31_t)0x99E5443A, (q31_t)0xB2CEB6B5,
+	(q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A5F02F5,
+	(q31_t)0xB22EB392, (q31_t)0x9A9C406D, (q31_t)0xB1DEF9E8,
+	(q31_t)0x9AD9BC71, (q31_t)0xB18F7070, (q31_t)0x9B1776D9,
+	(q31_t)0xB140175B, (q31_t)0x9B556F80, (q31_t)0xB0F0EEDA,
+	(q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9BD21AF2,
+	(q31_t)0xB0533055, (q31_t)0x9C10CD70, (q31_t)0xB0049AB2,
+	(q31_t)0x9C4FBD92, (q31_t)0xAFB63667, (q31_t)0x9C8EEB33,
+	(q31_t)0xAF6803A1, (q31_t)0x9CCE562B, (q31_t)0xAF1A0293,
+	(q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D4DE384,
+	(q31_t)0xAE7E965B, (q31_t)0x9D8E0596, (q31_t)0xAE312B91,
+	(q31_t)0x9DCE6462, (q31_t)0xADE3F33E, (q31_t)0x9E0EFFC1,
+	(q31_t)0xAD96ED91, (q31_t)0x9E4FD789, (q31_t)0xAD4A1ABA,
+	(q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9ED23BB9,
+	(q31_t)0xACB10E4A, (q31_t)0x9F13C7D0, (q31_t)0xAC64D510,
+	(q31_t)0x9F558FB0, (q31_t)0xAC18CF68, (q31_t)0x9F979331,
+	(q31_t)0xABCCFD82, (q31_t)0x9FD9D22A, (q31_t)0xAB815F8C,
+	(q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA05F01E1,
+	(q31_t)0xAAEAC02B, (q31_t)0xA0A1F24C, (q31_t)0xAA9FBF1D,
+	(q31_t)0xA0E51D8C, (q31_t)0xAA54F2B9, (q31_t)0xA1288376,
+	(q31_t)0xAA0A5B2D, (q31_t)0xA16C23E1, (q31_t)0xA9BFF8A8,
+	(q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA1F41391,
+	(q31_t)0xA92BD366, (q31_t)0xA2386283, (q31_t)0xA8E21106,
+	(q31_t)0xA27CEB4F, (q31_t)0xA8988463, (q31_t)0xA2C1ADC9,
+	(q31_t)0xA84F2DA9, (q31_t)0xA306A9C7, (q31_t)0xA8060D08,
+	(q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA3914DA7,
+	(q31_t)0xA7746EC0, (q31_t)0xA3D6F533, (q31_t)0xA72BF173,
+	(q31_t)0xA41CD598, (q31_t)0xA6E3AAF2, (q31_t)0xA462EEAC,
+	(q31_t)0xA69B9B68, (q31_t)0xA4A94042, (q31_t)0xA653C302,
+	(q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA5368C4B,
+	(q31_t)0xA5C4B855, (q31_t)0xA57D8666, (q31_t)0xA57D8666,
+	(q31_t)0xA5C4B855, (q31_t)0xA5368C4B, (q31_t)0xA60C21ED,
+	(q31_t)0xA4EFCA31, (q31_t)0xA653C302, (q31_t)0xA4A94042,
+	(q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA6E3AAF2,
+	(q31_t)0xA41CD598, (q31_t)0xA72BF173, (q31_t)0xA3D6F533,
+	(q31_t)0xA7746EC0, (q31_t)0xA3914DA7, (q31_t)0xA7BD22AB,
+	(q31_t)0xA34BDF20, (q31_t)0xA8060D08, (q31_t)0xA306A9C7,
+	(q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA8988463,
+	(q31_t)0xA27CEB4F, (q31_t)0xA8E21106, (q31_t)0xA2386283,
+	(q31_t)0xA92BD366, (q31_t)0xA1F41391, (q31_t)0xA975CB56,
+	(q31_t)0xA1AFFEA2, (q31_t)0xA9BFF8A8, (q31_t)0xA16C23E1,
+	(q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA54F2B9,
+	(q31_t)0xA0E51D8C, (q31_t)0xAA9FBF1D, (q31_t)0xA0A1F24C,
+	(q31_t)0xAAEAC02B, (q31_t)0xA05F01E1, (q31_t)0xAB35F5B5,
+	(q31_t)0xA01C4C72, (q31_t)0xAB815F8C, (q31_t)0x9FD9D22A,
+	(q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xAC18CF68,
+	(q31_t)0x9F558FB0, (q31_t)0xAC64D510, (q31_t)0x9F13C7D0,
+	(q31_t)0xACB10E4A, (q31_t)0x9ED23BB9, (q31_t)0xACFD7AE8,
+	(q31_t)0x9E90EB94, (q31_t)0xAD4A1ABA, (q31_t)0x9E4FD789,
+	(q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xADE3F33E,
+	(q31_t)0x9DCE6462, (q31_t)0xAE312B91, (q31_t)0x9D8E0596,
+	(q31_t)0xAE7E965B, (q31_t)0x9D4DE384, (q31_t)0xAECC336B,
+	(q31_t)0x9D0DFE53, (q31_t)0xAF1A0293, (q31_t)0x9CCE562B,
+	(q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xAFB63667,
+	(q31_t)0x9C4FBD92, (q31_t)0xB0049AB2, (q31_t)0x9C10CD70,
+	(q31_t)0xB0533055, (q31_t)0x9BD21AF2, (q31_t)0xB0A1F71C,
+	(q31_t)0x9B93A640, (q31_t)0xB0F0EEDA, (q31_t)0x9B556F80,
+	(q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB18F7070,
+	(q31_t)0x9AD9BC71, (q31_t)0xB1DEF9E8, (q31_t)0x9A9C406D,
+	(q31_t)0xB22EB392, (q31_t)0x9A5F02F5, (q31_t)0xB27E9D3B,
+	(q31_t)0x9A22042C, (q31_t)0xB2CEB6B5, (q31_t)0x99E5443A,
+	(q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB36F784E,
+	(q31_t)0x996C816F, (q31_t)0xB3C0200C, (q31_t)0x99307EE0,
+	(q31_t)0xB410F6D2, (q31_t)0x98F4BBBC, (q31_t)0xB461FC70,
+	(q31_t)0x98B93828, (q31_t)0xB4B330B2, (q31_t)0x987DF449,
+	(q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB556245E,
+	(q31_t)0x98082C3B, (q31_t)0xB5A7E362, (q31_t)0x97CDA855,
+	(q31_t)0xB5F9D042, (q31_t)0x979364B5, (q31_t)0xB64BEACC,
+	(q31_t)0x9759617E, (q31_t)0xB69E32CD, (q31_t)0x971F9ED6,
+	(q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB7434A67,
+	(q31_t)0x96ACDBBD, (q31_t)0xB796199B, (q31_t)0x9673DB94,
+	(q31_t)0xB7E9157A, (q31_t)0x963B1C85, (q31_t)0xB83C3DD1,
+	(q31_t)0x96029EB5, (q31_t)0xB88F926C, (q31_t)0x95CA6246,
+	(q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB936BFA3,
+	(q31_t)0x955AAE17, (q31_t)0xB98A97D8, (q31_t)0x9523369B,
+	(q31_t)0xB9DE9B83, (q31_t)0x94EC010B, (q31_t)0xBA32CA70,
+	(q31_t)0x94B50D87, (q31_t)0xBA87246C, (q31_t)0x947E5C32,
+	(q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB3058C0,
+	(q31_t)0x9411C09D, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F,
+	(q31_t)0xBBDA36DC, (q31_t)0x93A62F56, (q31_t)0xBC2F6513,
+	(q31_t)0x9370CAE4, (q31_t)0xBC84BD1E, (q31_t)0x933BA968,
+	(q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD2FE9E1,
+	(q31_t)0x92D22FD8, (q31_t)0xBD85BE2F, (q31_t)0x929DD805,
+	(q31_t)0xBDDBBB7F, (q31_t)0x9269C3AC, (q31_t)0xBE31E19B,
+	(q31_t)0x9235F2EB, (q31_t)0xBE88304F, (q31_t)0x920265E4,
+	(q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF3546A8,
+	(q31_t)0x919C1780, (q31_t)0xBF8C0DE2, (q31_t)0x91695663,
+	(q31_t)0xBFE2FCDF, (q31_t)0x9136D97D, (q31_t)0xC03A1368,
+	(q31_t)0x9104A0ED, (q31_t)0xC0915147, (q31_t)0x90D2ACD3,
+	(q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC1404233,
+	(q31_t)0x906F927B, (q31_t)0xC197F4D3, (q31_t)0x903E6C7A,
+	(q31_t)0xC1EFCDF2, (q31_t)0x900D8B69, (q31_t)0xC247CD5A,
+	(q31_t)0x8FDCEF66, (q31_t)0xC29FF2D4, (q31_t)0x8FAC988E,
+	(q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC350AF25,
+	(q31_t)0x8F4CBADB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A,
+	(q31_t)0xC4020132, (q31_t)0x8EEDF33B, (q31_t)0xC45AE1D7,
+	(q31_t)0x8EBEF7FB, (q31_t)0xC4B3E746, (q31_t)0x8E904298,
+	(q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5665FA8,
+	(q31_t)0x8E33A9D9, (q31_t)0xC5BFD22E, (q31_t)0x8E05C6B7,
+	(q31_t)0xC61968A2, (q31_t)0x8DD829E4, (q31_t)0xC67322CD,
+	(q31_t)0x8DAAD37B, (q31_t)0xC6CD0079, (q31_t)0x8D7DC399,
+	(q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7812571,
+	(q31_t)0x8D2477D8, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30,
+	(q31_t)0xC835D5D0, (q31_t)0x8CCC477D, (q31_t)0xC89061BA,
+	(q31_t)0x8CA099D9, (q31_t)0xC8EB0FD6, (q31_t)0x8C753361,
+	(q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9A0D1C4,
+	(q31_t)0x8C1F3C5C, (q31_t)0xC9FBE527, (q31_t)0x8BF4AC05,
+	(q31_t)0xCA5719DB, (q31_t)0x8BCA6342, (q31_t)0xCAB26FA9,
+	(q31_t)0x8BA0622F, (q31_t)0xCB0DE658, (q31_t)0x8B76A8E4,
+	(q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCBC53578,
+	(q31_t)0x8B240E10, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA,
+	(q31_t)0xCC7D0577, (q31_t)0x8AD29393, (q31_t)0xCCD91D3D,
+	(q31_t)0x8AAA42B4, (q31_t)0xCD355490, (q31_t)0x8A823A35,
+	(q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCDEE20FC,
+	(q31_t)0x8A3302BD, (q31_t)0xCE4AB5A2, (q31_t)0x8A0BD3F5,
+	(q31_t)0xCEA768F2, (q31_t)0x89E4EDEE, (q31_t)0xCF043AB2,
+	(q31_t)0x89BE50C3, (q31_t)0xCF612AAA, (q31_t)0x8997FC89,
+	(q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD01B6459,
+	(q31_t)0x894C2F4C, (q31_t)0xD078AD9D, (q31_t)0x8926B677,
+	(q31_t)0xD0D61433, (q31_t)0x890186F1, (q31_t)0xD13397E1,
+	(q31_t)0x88DCA0D3, (q31_t)0xD191386D, (q31_t)0x88B80431,
+	(q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD24CCF38,
+	(q31_t)0x886FA7C2, (q31_t)0xD2AAC504, (q31_t)0x884BE820,
+	(q31_t)0xD308D6C6, (q31_t)0x88287255, (q31_t)0xD3670445,
+	(q31_t)0x88054677, (q31_t)0xD3C54D46, (q31_t)0x87E2649B,
+	(q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD48230E8,
+	(q31_t)0x879D7F40, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC,
+	(q31_t)0xD53F7FDA, (q31_t)0x8759C2EF, (q31_t)0xD59E4EFE,
+	(q31_t)0x8738545E, (q31_t)0xD5FD3847, (q31_t)0x8717304E,
+	(q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD6BB585D,
+	(q31_t)0x86D5C802, (q31_t)0xD71A8EB5, (q31_t)0x86B583EE,
+	(q31_t)0xD779DE46, (q31_t)0x86958AAB, (q31_t)0xD7D946D7,
+	(q31_t)0x8675DC4E, (q31_t)0xD838C82D, (q31_t)0x865678EA,
+	(q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD8F81439,
+	(q31_t)0x86189359, (q31_t)0xD957DE7A, (q31_t)0x85FA1152,
+	(q31_t)0xD9B7C093, (q31_t)0x85DBDA91, (q31_t)0xDA17BA4A,
+	(q31_t)0x85BDEF27, (q31_t)0xDA77CB62, (q31_t)0x85A04F28,
+	(q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB3832CD,
+	(q31_t)0x8565F1B0, (q31_t)0xDB9888A8, (q31_t)0x8549345C,
+	(q31_t)0xDBF8F4F8, (q31_t)0x852CC2BA, (q31_t)0xDC597781,
+	(q31_t)0x85109CDC, (q31_t)0xDCBA1008, (q31_t)0x84F4C2D3,
+	(q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDD7B8220,
+	(q31_t)0x84BDF285, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62,
+	(q31_t)0xDE3D4963, (q31_t)0x84885257, (q31_t)0xDE9E4C60,
+	(q31_t)0x846DF476, (q31_t)0xDEFF63F4, (q31_t)0x8453E2CE,
+	(q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xDFC1CFF2,
+	(q31_t)0x8420A46B, (q31_t)0xE02323E5, (q31_t)0x840777CF,
+	(q31_t)0xE0848B7F, (q31_t)0x83EE97AC, (q31_t)0xE0E60684,
+	(q31_t)0x83D60411, (q31_t)0xE14794B9, (q31_t)0x83BDBD0D,
+	(q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE20AE9C1,
+	(q31_t)0x838E1507, (q31_t)0xE26CB01A, (q31_t)0x8376B422,
+	(q31_t)0xE2CE88B2, (q31_t)0x835FA00E, (q31_t)0xE330734C,
+	(q31_t)0x8348D8DB, (q31_t)0xE3926FAC, (q31_t)0x83325E97,
+	(q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4569CCB,
+	(q31_t)0x8306510F, (q31_t)0xE4B8CD10, (q31_t)0x82F0BDE8,
+	(q31_t)0xE51B0E2A, (q31_t)0x82DB77E5, (q31_t)0xE57D5FDA,
+	(q31_t)0x82C67F13, (q31_t)0xE5DFC1E4, (q31_t)0x82B1D381,
+	(q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE6A4B616,
+	(q31_t)0x8289644A, (q31_t)0xE70747C3, (q31_t)0x8275A0C0,
+	(q31_t)0xE769E8D8, (q31_t)0x82622AA5, (q31_t)0xE7CC9917,
+	(q31_t)0x824F0208, (q31_t)0xE82F5844, (q31_t)0x823C26F2,
+	(q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE8F50273,
+	(q31_t)0x8217598F, (q31_t)0xE957ECFB, (q31_t)0x82056758,
+	(q31_t)0xE9BAE57C, (q31_t)0x81F3C2D7, (q31_t)0xEA1DEBBB,
+	(q31_t)0x81E26C16, (q31_t)0xEA80FF79, (q31_t)0x81D16320,
+	(q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB474E80,
+	(q31_t)0x81B03AC1, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C,
+	(q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC71244F,
+	(q31_t)0x8180C6A9, (q31_t)0xECD48406, (q31_t)0x8171914E,
+	(q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED9B66B2,
+	(q31_t)0x815410D3, (q31_t)0xEDFEE92B, (q31_t)0x8145C5C6,
+	(q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEEC60F31,
+	(q31_t)0x812A1A39, (q31_t)0xEF29B243, (q31_t)0x811CB9CA,
+	(q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFF11752,
+	(q31_t)0x8102E3C3, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C,
+	(q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF11C789A,
+	(q31_t)0x80DE6E4C, (q31_t)0xF1805662, (q31_t)0x80D2E3F1,
+	(q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2482C89,
+	(q31_t)0x80BCBA9C, (q31_t)0xF2AC246D, (q31_t)0x80B21BAF,
+	(q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF3742CA1,
+	(q31_t)0x809DC970, (q31_t)0xF3D83C76, (q31_t)0x8094162B,
+	(q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF4A07260,
+	(q31_t)0x80819B74, (q31_t)0xF50497FA, (q31_t)0x8078D40D,
+	(q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF5CCF743,
+	(q31_t)0x80683143, (q31_t)0xF6313076, (q31_t)0x806055EA,
+	(q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6F9B4C5,
+	(q31_t)0x80518B6B, (q31_t)0xF75DFF65, (q31_t)0x804A9C4D,
+	(q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF826A461,
+	(q31_t)0x803DAA69, (q31_t)0xF88AFE41, (q31_t)0x8037A7AC,
+	(q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF953BF90,
+	(q31_t)0x802C8EAD, (q31_t)0xF9B82683, (q31_t)0x80277872,
+	(q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA80FFCB,
+	(q31_t)0x801E3894, (q31_t)0xFAE571A4, (q31_t)0x801A0EF7,
+	(q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFBAE5E89,
+	(q31_t)0x8012A86F, (q31_t)0xFC12D919, (q31_t)0x800F6B88,
+	(q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCDBD541,
+	(q31_t)0x8009DE7D, (q31_t)0xFD40565B, (q31_t)0x80078E5E,
+	(q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE095D69,
+	(q31_t)0x8003DAF0, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5,
+	(q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF36F078,
+	(q31_t)0x80009DE9, (q31_t)0xFF9B781D, (q31_t)0x8000277A
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q31_4096)
+/**
+  @par
+  Example code for Q31 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefQ31[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefQ31[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 4096, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to Q31(Fixed point 1.31):
+ 	round(twiddleCoefQ31(i) * pow(2, 31))
+ */
+const q31_t twiddleCoef_4096_q31[6144] =
+{
+	(q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFF621,
+	(q31_t)0x003243F5, (q31_t)0x7FFFD885, (q31_t)0x006487E3,
+	(q31_t)0x7FFFA72C, (q31_t)0x0096CBC1, (q31_t)0x7FFF6216,
+	(q31_t)0x00C90F88, (q31_t)0x7FFF0942, (q31_t)0x00FB532F,
+	(q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFE1C64,
+	(q31_t)0x015FDA03, (q31_t)0x7FFD885A, (q31_t)0x01921D1F,
+	(q31_t)0x7FFCE093, (q31_t)0x01C45FFE, (q31_t)0x7FFC250F,
+	(q31_t)0x01F6A296, (q31_t)0x7FFB55CE, (q31_t)0x0228E4E1,
+	(q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF97C17,
+	(q31_t)0x028D6870, (q31_t)0x7FF871A1, (q31_t)0x02BFA9A4,
+	(q31_t)0x7FF7536F, (q31_t)0x02F1EA6B, (q31_t)0x7FF62182,
+	(q31_t)0x03242ABF, (q31_t)0x7FF4DBD8, (q31_t)0x03566A96,
+	(q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF21553,
+	(q31_t)0x03BAE8B1, (q31_t)0x7FF09477, (q31_t)0x03ED26E6,
+	(q31_t)0x7FEEFFE1, (q31_t)0x041F647F, (q31_t)0x7FED5790,
+	(q31_t)0x0451A176, (q31_t)0x7FEB9B85, (q31_t)0x0483DDC3,
+	(q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE7E840,
+	(q31_t)0x04E8543D, (q31_t)0x7FE5F108, (q31_t)0x051A8E5C,
+	(q31_t)0x7FE3E616, (q31_t)0x054CC7B0, (q31_t)0x7FE1C76B,
+	(q31_t)0x057F0034, (q31_t)0x7FDF9508, (q31_t)0x05B137DF,
+	(q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FDAF518,
+	(q31_t)0x0615A48A, (q31_t)0x7FD8878D, (q31_t)0x0647D97C,
+	(q31_t)0x7FD6064B, (q31_t)0x067A0D75, (q31_t)0x7FD37152,
+	(q31_t)0x06AC406F, (q31_t)0x7FD0C8A3, (q31_t)0x06DE7261,
+	(q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FCB3C23,
+	(q31_t)0x0742D310, (q31_t)0x7FC85853, (q31_t)0x077501BE,
+	(q31_t)0x7FC560CF, (q31_t)0x07A72F45, (q31_t)0x7FC25596,
+	(q31_t)0x07D95B9E, (q31_t)0x7FBF36A9, (q31_t)0x080B86C1,
+	(q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB8BDB7,
+	(q31_t)0x086FD947, (q31_t)0x7FB563B2, (q31_t)0x08A2009A,
+	(q31_t)0x7FB1F5FC, (q31_t)0x08D42698, (q31_t)0x7FAE7494,
+	(q31_t)0x09064B3A, (q31_t)0x7FAADF7C, (q31_t)0x09386E77,
+	(q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7FA37A3C,
+	(q31_t)0x099CB0A7, (q31_t)0x7F9FAA15, (q31_t)0x09CECF89,
+	(q31_t)0x7F9BC63F, (q31_t)0x0A00ECE8, (q31_t)0x7F97CEBC,
+	(q31_t)0x0A3308BC, (q31_t)0x7F93C38C, (q31_t)0x0A6522FE,
+	(q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F8B7226,
+	(q31_t)0x0AC952AA, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805,
+	(q31_t)0x7F82D214, (q31_t)0x0B2D7BAE, (q31_t)0x7F7E648B,
+	(q31_t)0x0B5F8D9F, (q31_t)0x7F79E35A, (q31_t)0x0B919DCE,
+	(q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F70A5FD,
+	(q31_t)0x0BF5B8CB, (q31_t)0x7F6BE9D4, (q31_t)0x0C27C389,
+	(q31_t)0x7F671A04, (q31_t)0x0C59CC67, (q31_t)0x7F62368F,
+	(q31_t)0x0C8BD35E, (q31_t)0x7F5D3F75, (q31_t)0x0CBDD865,
+	(q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F531654,
+	(q31_t)0x0D21DC87, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92,
+	(q31_t)0x7F489EAA, (q31_t)0x0D85D88F, (q31_t)0x7F434563,
+	(q31_t)0x0DB7D376, (q31_t)0x7F3DD87C, (q31_t)0x0DE9CC3F,
+	(q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F32C3D0,
+	(q31_t)0x0E4DB75B, (q31_t)0x7F2D1C0E, (q31_t)0x0E7FA99D,
+	(q31_t)0x7F2760AF, (q31_t)0x0EB199A3, (q31_t)0x7F2191B4,
+	(q31_t)0x0EE38765, (q31_t)0x7F1BAF1E, (q31_t)0x0F1572DC,
+	(q31_t)0x7F15B8EE, (q31_t)0x0F475BFE, (q31_t)0x7F0FAF24,
+	(q31_t)0x0F7942C6, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B,
+	(q31_t)0x7F0360CB, (q31_t)0x0FDD0925, (q31_t)0x7EFD1C3C,
+	(q31_t)0x100EE8AD, (q31_t)0x7EF6C418, (q31_t)0x1040C5BB,
+	(q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7EE9D913,
+	(q31_t)0x10A4784A, (q31_t)0x7EE34635, (q31_t)0x10D64DBC,
+	(q31_t)0x7EDC9FC6, (q31_t)0x11082096, (q31_t)0x7ED5E5C6,
+	(q31_t)0x1139F0CE, (q31_t)0x7ECF1837, (q31_t)0x116BBE5F,
+	(q31_t)0x7EC8371A, (q31_t)0x119D8940, (q31_t)0x7EC1426F,
+	(q31_t)0x11CF516A, (q31_t)0x7EBA3A39, (q31_t)0x120116D4,
+	(q31_t)0x7EB31E77, (q31_t)0x1232D978, (q31_t)0x7EABEF2C,
+	(q31_t)0x1264994E, (q31_t)0x7EA4AC58, (q31_t)0x1296564D,
+	(q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E95EC19,
+	(q31_t)0x12F9C7AA, (q31_t)0x7E8E6EB1, (q31_t)0x132B7BF9,
+	(q31_t)0x7E86DDC5, (q31_t)0x135D2D53, (q31_t)0x7E7F3956,
+	(q31_t)0x138EDBB0, (q31_t)0x7E778165, (q31_t)0x13C0870A,
+	(q31_t)0x7E6FB5F3, (q31_t)0x13F22F57, (q31_t)0x7E67D702,
+	(q31_t)0x1423D492, (q31_t)0x7E5FE493, (q31_t)0x145576B1,
+	(q31_t)0x7E57DEA6, (q31_t)0x148715AD, (q31_t)0x7E4FC53E,
+	(q31_t)0x14B8B17F, (q31_t)0x7E47985B, (q31_t)0x14EA4A1F,
+	(q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E37042A,
+	(q31_t)0x154D71AA, (q31_t)0x7E2E9CDF, (q31_t)0x157F0086,
+	(q31_t)0x7E26221E, (q31_t)0x15B08C11, (q31_t)0x7E1D93E9,
+	(q31_t)0x15E21444, (q31_t)0x7E14F242, (q31_t)0x16139917,
+	(q31_t)0x7E0C3D29, (q31_t)0x16451A83, (q31_t)0x7E03749F,
+	(q31_t)0x1676987F, (q31_t)0x7DFA98A7, (q31_t)0x16A81305,
+	(q31_t)0x7DF1A942, (q31_t)0x16D98A0C, (q31_t)0x7DE8A670,
+	(q31_t)0x170AFD8D, (q31_t)0x7DDF9034, (q31_t)0x173C6D80,
+	(q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DCD2981,
+	(q31_t)0x179F429F, (q31_t)0x7DC3D90D, (q31_t)0x17D0A7BB,
+	(q31_t)0x7DBA7534, (q31_t)0x1802092C, (q31_t)0x7DB0FDF7,
+	(q31_t)0x183366E8, (q31_t)0x7DA77359, (q31_t)0x1864C0E9,
+	(q31_t)0x7D9DD55A, (q31_t)0x18961727, (q31_t)0x7D9423FB,
+	(q31_t)0x18C7699B, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C,
+	(q31_t)0x7D808727, (q31_t)0x192A0303, (q31_t)0x7D769BB5,
+	(q31_t)0x195B49E9, (q31_t)0x7D6C9CE9, (q31_t)0x198C8CE6,
+	(q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D58654C,
+	(q31_t)0x19EF0706, (q31_t)0x7D4E2C7E, (q31_t)0x1A203E1B,
+	(q31_t)0x7D43E05E, (q31_t)0x1A517127, (q31_t)0x7D3980EC,
+	(q31_t)0x1A82A025, (q31_t)0x7D2F0E2A, (q31_t)0x1AB3CB0C,
+	(q31_t)0x7D24881A, (q31_t)0x1AE4F1D6, (q31_t)0x7D19EEBE,
+	(q31_t)0x1B161479, (q31_t)0x7D0F4218, (q31_t)0x1B4732EF,
+	(q31_t)0x7D048228, (q31_t)0x1B784D30, (q31_t)0x7CF9AEF0,
+	(q31_t)0x1BA96334, (q31_t)0x7CEEC873, (q31_t)0x1BDA74F5,
+	(q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CD8C1AD,
+	(q31_t)0x1C3C8B8C, (q31_t)0x7CCDA168, (q31_t)0x1C6D9053,
+	(q31_t)0x7CC26DE5, (q31_t)0x1C9E90B8, (q31_t)0x7CB72724,
+	(q31_t)0x1CCF8CB3, (q31_t)0x7CABCD27, (q31_t)0x1D00843C,
+	(q31_t)0x7CA05FF1, (q31_t)0x1D31774D, (q31_t)0x7C94DF82,
+	(q31_t)0x1D6265DD, (q31_t)0x7C894BDD, (q31_t)0x1D934FE5,
+	(q31_t)0x7C7DA504, (q31_t)0x1DC4355D, (q31_t)0x7C71EAF8,
+	(q31_t)0x1DF5163F, (q31_t)0x7C661DBB, (q31_t)0x1E25F281,
+	(q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C4E49B6,
+	(q31_t)0x1E879D0C, (q31_t)0x7C4242F2, (q31_t)0x1EB86B46,
+	(q31_t)0x7C362904, (q31_t)0x1EE934C2, (q31_t)0x7C29FBEE,
+	(q31_t)0x1F19F97B, (q31_t)0x7C1DBBB2, (q31_t)0x1F4AB967,
+	(q31_t)0x7C116853, (q31_t)0x1F7B7480, (q31_t)0x7C0501D1,
+	(q31_t)0x1FAC2ABF, (q31_t)0x7BF88830, (q31_t)0x1FDCDC1A,
+	(q31_t)0x7BEBFB70, (q31_t)0x200D888C, (q31_t)0x7BDF5B94,
+	(q31_t)0x203E300D, (q31_t)0x7BD2A89E, (q31_t)0x206ED295,
+	(q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7BB9096A,
+	(q31_t)0x20D0089B, (q31_t)0x7BAC1D31, (q31_t)0x21009C0B,
+	(q31_t)0x7B9F1DE5, (q31_t)0x21312A65, (q31_t)0x7B920B89,
+	(q31_t)0x2161B39F, (q31_t)0x7B84E61E, (q31_t)0x219237B4,
+	(q31_t)0x7B77ADA8, (q31_t)0x21C2B69C, (q31_t)0x7B6A6227,
+	(q31_t)0x21F3304E, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5,
+	(q31_t)0x7B4F920E, (q31_t)0x225413F8, (q31_t)0x7B420D7A,
+	(q31_t)0x22847DDF, (q31_t)0x7B3475E4, (q31_t)0x22B4E274,
+	(q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7B190DBB,
+	(q31_t)0x23159B87, (q31_t)0x7B0B3D2C, (q31_t)0x2345EFF7,
+	(q31_t)0x7AFD59A3, (q31_t)0x23763EF7, (q31_t)0x7AEF6323,
+	(q31_t)0x23A6887E, (q31_t)0x7AE159AE, (q31_t)0x23D6CC86,
+	(q31_t)0x7AD33D45, (q31_t)0x24070B07, (q31_t)0x7AC50DEB,
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+	(q31_t)0x099CB0A7, (q31_t)0x7FA37A3C, (q31_t)0x096A9049,
+	(q31_t)0x7FA736B4, (q31_t)0x09386E77, (q31_t)0x7FAADF7C,
+	(q31_t)0x09064B3A, (q31_t)0x7FAE7494, (q31_t)0x08D42698,
+	(q31_t)0x7FB1F5FC, (q31_t)0x08A2009A, (q31_t)0x7FB563B2,
+	(q31_t)0x086FD947, (q31_t)0x7FB8BDB7, (q31_t)0x083DB0A7,
+	(q31_t)0x7FBC040A, (q31_t)0x080B86C1, (q31_t)0x7FBF36A9,
+	(q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x07A72F45,
+	(q31_t)0x7FC560CF, (q31_t)0x077501BE, (q31_t)0x7FC85853,
+	(q31_t)0x0742D310, (q31_t)0x7FCB3C23, (q31_t)0x0710A344,
+	(q31_t)0x7FCE0C3E, (q31_t)0x06DE7261, (q31_t)0x7FD0C8A3,
+	(q31_t)0x06AC406F, (q31_t)0x7FD37152, (q31_t)0x067A0D75,
+	(q31_t)0x7FD6064B, (q31_t)0x0647D97C, (q31_t)0x7FD8878D,
+	(q31_t)0x0615A48A, (q31_t)0x7FDAF518, (q31_t)0x05E36EA9,
+	(q31_t)0x7FDD4EEC, (q31_t)0x05B137DF, (q31_t)0x7FDF9508,
+	(q31_t)0x057F0034, (q31_t)0x7FE1C76B, (q31_t)0x054CC7B0,
+	(q31_t)0x7FE3E616, (q31_t)0x051A8E5C, (q31_t)0x7FE5F108,
+	(q31_t)0x04E8543D, (q31_t)0x7FE7E840, (q31_t)0x04B6195D,
+	(q31_t)0x7FE9CBC0, (q31_t)0x0483DDC3, (q31_t)0x7FEB9B85,
+	(q31_t)0x0451A176, (q31_t)0x7FED5790, (q31_t)0x041F647F,
+	(q31_t)0x7FEEFFE1, (q31_t)0x03ED26E6, (q31_t)0x7FF09477,
+	(q31_t)0x03BAE8B1, (q31_t)0x7FF21553, (q31_t)0x0388A9E9,
+	(q31_t)0x7FF38273, (q31_t)0x03566A96, (q31_t)0x7FF4DBD8,
+	(q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x02F1EA6B,
+	(q31_t)0x7FF7536F, (q31_t)0x02BFA9A4, (q31_t)0x7FF871A1,
+	(q31_t)0x028D6870, (q31_t)0x7FF97C17, (q31_t)0x025B26D7,
+	(q31_t)0x7FFA72D1, (q31_t)0x0228E4E1, (q31_t)0x7FFB55CE,
+	(q31_t)0x01F6A296, (q31_t)0x7FFC250F, (q31_t)0x01C45FFE,
+	(q31_t)0x7FFCE093, (q31_t)0x01921D1F, (q31_t)0x7FFD885A,
+	(q31_t)0x015FDA03, (q31_t)0x7FFE1C64, (q31_t)0x012D96B0,
+	(q31_t)0x7FFE9CB2, (q31_t)0x00FB532F, (q31_t)0x7FFF0942,
+	(q31_t)0x00C90F88, (q31_t)0x7FFF6216, (q31_t)0x0096CBC1,
+	(q31_t)0x7FFFA72C, (q31_t)0x006487E3, (q31_t)0x7FFFD885,
+	(q31_t)0x003243F5, (q31_t)0x7FFFF621, (q31_t)0x00000000,
+	(q31_t)0x7FFFFFFF, (q31_t)0xFFCDBC0A, (q31_t)0x7FFFF621,
+	(q31_t)0xFF9B781D, (q31_t)0x7FFFD885, (q31_t)0xFF69343E,
+	(q31_t)0x7FFFA72C, (q31_t)0xFF36F078, (q31_t)0x7FFF6216,
+	(q31_t)0xFF04ACD0, (q31_t)0x7FFF0942, (q31_t)0xFED2694F,
+	(q31_t)0x7FFE9CB2, (q31_t)0xFEA025FC, (q31_t)0x7FFE1C64,
+	(q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFE3BA001,
+	(q31_t)0x7FFCE093, (q31_t)0xFE095D69, (q31_t)0x7FFC250F,
+	(q31_t)0xFDD71B1E, (q31_t)0x7FFB55CE, (q31_t)0xFDA4D928,
+	(q31_t)0x7FFA72D1, (q31_t)0xFD72978F, (q31_t)0x7FF97C17,
+	(q31_t)0xFD40565B, (q31_t)0x7FF871A1, (q31_t)0xFD0E1594,
+	(q31_t)0x7FF7536F, (q31_t)0xFCDBD541, (q31_t)0x7FF62182,
+	(q31_t)0xFCA99569, (q31_t)0x7FF4DBD8, (q31_t)0xFC775616,
+	(q31_t)0x7FF38273, (q31_t)0xFC45174E, (q31_t)0x7FF21553,
+	(q31_t)0xFC12D919, (q31_t)0x7FF09477, (q31_t)0xFBE09B80,
+	(q31_t)0x7FEEFFE1, (q31_t)0xFBAE5E89, (q31_t)0x7FED5790,
+	(q31_t)0xFB7C223C, (q31_t)0x7FEB9B85, (q31_t)0xFB49E6A2,
+	(q31_t)0x7FE9CBC0, (q31_t)0xFB17ABC2, (q31_t)0x7FE7E840,
+	(q31_t)0xFAE571A4, (q31_t)0x7FE5F108, (q31_t)0xFAB3384F,
+	(q31_t)0x7FE3E616, (q31_t)0xFA80FFCB, (q31_t)0x7FE1C76B,
+	(q31_t)0xFA4EC820, (q31_t)0x7FDF9508, (q31_t)0xFA1C9156,
+	(q31_t)0x7FDD4EEC, (q31_t)0xF9EA5B75, (q31_t)0x7FDAF518,
+	(q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF985F28A,
+	(q31_t)0x7FD6064B, (q31_t)0xF953BF90, (q31_t)0x7FD37152,
+	(q31_t)0xF9218D9E, (q31_t)0x7FD0C8A3, (q31_t)0xF8EF5CBB,
+	(q31_t)0x7FCE0C3E, (q31_t)0xF8BD2CEF, (q31_t)0x7FCB3C23,
+	(q31_t)0xF88AFE41, (q31_t)0x7FC85853, (q31_t)0xF858D0BA,
+	(q31_t)0x7FC560CF, (q31_t)0xF826A461, (q31_t)0x7FC25596,
+	(q31_t)0xF7F4793E, (q31_t)0x7FBF36A9, (q31_t)0xF7C24F58,
+	(q31_t)0x7FBC040A, (q31_t)0xF79026B8, (q31_t)0x7FB8BDB7,
+	(q31_t)0xF75DFF65, (q31_t)0x7FB563B2, (q31_t)0xF72BD967,
+	(q31_t)0x7FB1F5FC, (q31_t)0xF6F9B4C5, (q31_t)0x7FAE7494,
+	(q31_t)0xF6C79188, (q31_t)0x7FAADF7C, (q31_t)0xF6956FB6,
+	(q31_t)0x7FA736B4, (q31_t)0xF6634F58, (q31_t)0x7FA37A3C,
+	(q31_t)0xF6313076, (q31_t)0x7F9FAA15, (q31_t)0xF5FF1317,
+	(q31_t)0x7F9BC63F, (q31_t)0xF5CCF743, (q31_t)0x7F97CEBC,
+	(q31_t)0xF59ADD01, (q31_t)0x7F93C38C, (q31_t)0xF568C45A,
+	(q31_t)0x7F8FA4AF, (q31_t)0xF536AD55, (q31_t)0x7F8B7226,
+	(q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF4D28451,
+	(q31_t)0x7F82D214, (q31_t)0xF4A07260, (q31_t)0x7F7E648B,
+	(q31_t)0xF46E6231, (q31_t)0x7F79E35A, (q31_t)0xF43C53CA,
+	(q31_t)0x7F754E7F, (q31_t)0xF40A4734, (q31_t)0x7F70A5FD,
+	(q31_t)0xF3D83C76, (q31_t)0x7F6BE9D4, (q31_t)0xF3A63398,
+	(q31_t)0x7F671A04, (q31_t)0xF3742CA1, (q31_t)0x7F62368F,
+	(q31_t)0xF342279A, (q31_t)0x7F5D3F75, (q31_t)0xF310248A,
+	(q31_t)0x7F5834B6, (q31_t)0xF2DE2378, (q31_t)0x7F531654,
+	(q31_t)0xF2AC246D, (q31_t)0x7F4DE450, (q31_t)0xF27A2770,
+	(q31_t)0x7F489EAA, (q31_t)0xF2482C89, (q31_t)0x7F434563,
+	(q31_t)0xF21633C0, (q31_t)0x7F3DD87C, (q31_t)0xF1E43D1C,
+	(q31_t)0x7F3857F5, (q31_t)0xF1B248A5, (q31_t)0x7F32C3D0,
+	(q31_t)0xF1805662, (q31_t)0x7F2D1C0E, (q31_t)0xF14E665C,
+	(q31_t)0x7F2760AF, (q31_t)0xF11C789A, (q31_t)0x7F2191B4,
+	(q31_t)0xF0EA8D23, (q31_t)0x7F1BAF1E, (q31_t)0xF0B8A401,
+	(q31_t)0x7F15B8EE, (q31_t)0xF086BD39, (q31_t)0x7F0FAF24,
+	(q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xF022F6DA,
+	(q31_t)0x7F0360CB, (q31_t)0xEFF11752, (q31_t)0x7EFD1C3C,
+	(q31_t)0xEFBF3A44, (q31_t)0x7EF6C418, (q31_t)0xEF8D5FB8,
+	(q31_t)0x7EF0585F, (q31_t)0xEF5B87B5, (q31_t)0x7EE9D913,
+	(q31_t)0xEF29B243, (q31_t)0x7EE34635, (q31_t)0xEEF7DF6A,
+	(q31_t)0x7EDC9FC6, (q31_t)0xEEC60F31, (q31_t)0x7ED5E5C6,
+	(q31_t)0xEE9441A0, (q31_t)0x7ECF1837, (q31_t)0xEE6276BF,
+	(q31_t)0x7EC8371A, (q31_t)0xEE30AE95, (q31_t)0x7EC1426F,
+	(q31_t)0xEDFEE92B, (q31_t)0x7EBA3A39, (q31_t)0xEDCD2687,
+	(q31_t)0x7EB31E77, (q31_t)0xED9B66B2, (q31_t)0x7EABEF2C,
+	(q31_t)0xED69A9B2, (q31_t)0x7EA4AC58, (q31_t)0xED37EF91,
+	(q31_t)0x7E9D55FC, (q31_t)0xED063855, (q31_t)0x7E95EC19,
+	(q31_t)0xECD48406, (q31_t)0x7E8E6EB1, (q31_t)0xECA2D2AC,
+	(q31_t)0x7E86DDC5, (q31_t)0xEC71244F, (q31_t)0x7E7F3956,
+	(q31_t)0xEC3F78F5, (q31_t)0x7E778165, (q31_t)0xEC0DD0A8,
+	(q31_t)0x7E6FB5F3, (q31_t)0xEBDC2B6D, (q31_t)0x7E67D702,
+	(q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEB78EA52,
+	(q31_t)0x7E57DEA6, (q31_t)0xEB474E80, (q31_t)0x7E4FC53E,
+	(q31_t)0xEB15B5E0, (q31_t)0x7E47985B, (q31_t)0xEAE4207A,
+	(q31_t)0x7E3F57FE, (q31_t)0xEAB28E55, (q31_t)0x7E37042A,
+	(q31_t)0xEA80FF79, (q31_t)0x7E2E9CDF, (q31_t)0xEA4F73EE,
+	(q31_t)0x7E26221E, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9,
+	(q31_t)0xE9EC66E8, (q31_t)0x7E14F242, (q31_t)0xE9BAE57C,
+	(q31_t)0x7E0C3D29, (q31_t)0xE9896780, (q31_t)0x7E03749F,
+	(q31_t)0xE957ECFB, (q31_t)0x7DFA98A7, (q31_t)0xE92675F4,
+	(q31_t)0x7DF1A942, (q31_t)0xE8F50273, (q31_t)0x7DE8A670,
+	(q31_t)0xE8C3927F, (q31_t)0x7DDF9034, (q31_t)0xE8922621,
+	(q31_t)0x7DD6668E, (q31_t)0xE860BD60, (q31_t)0x7DCD2981,
+	(q31_t)0xE82F5844, (q31_t)0x7DC3D90D, (q31_t)0xE7FDF6D3,
+	(q31_t)0x7DBA7534, (q31_t)0xE7CC9917, (q31_t)0x7DB0FDF7,
+	(q31_t)0xE79B3F16, (q31_t)0x7DA77359, (q31_t)0xE769E8D8,
+	(q31_t)0x7D9DD55A, (q31_t)0xE7389664, (q31_t)0x7D9423FB,
+	(q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE6D5FCFC,
+	(q31_t)0x7D808727, (q31_t)0xE6A4B616, (q31_t)0x7D769BB5,
+	(q31_t)0xE6737319, (q31_t)0x7D6C9CE9, (q31_t)0xE642340D,
+	(q31_t)0x7D628AC5, (q31_t)0xE610F8F9, (q31_t)0x7D58654C,
+	(q31_t)0xE5DFC1E4, (q31_t)0x7D4E2C7E, (q31_t)0xE5AE8ED8,
+	(q31_t)0x7D43E05E, (q31_t)0xE57D5FDA, (q31_t)0x7D3980EC,
+	(q31_t)0xE54C34F3, (q31_t)0x7D2F0E2A, (q31_t)0xE51B0E2A,
+	(q31_t)0x7D24881A, (q31_t)0xE4E9EB86, (q31_t)0x7D19EEBE,
+	(q31_t)0xE4B8CD10, (q31_t)0x7D0F4218, (q31_t)0xE487B2CF,
+	(q31_t)0x7D048228, (q31_t)0xE4569CCB, (q31_t)0x7CF9AEF0,
+	(q31_t)0xE4258B0A, (q31_t)0x7CEEC873, (q31_t)0xE3F47D95,
+	(q31_t)0x7CE3CEB1, (q31_t)0xE3C37473, (q31_t)0x7CD8C1AD,
+	(q31_t)0xE3926FAC, (q31_t)0x7CCDA168, (q31_t)0xE3616F47,
+	(q31_t)0x7CC26DE5, (q31_t)0xE330734C, (q31_t)0x7CB72724,
+	(q31_t)0xE2FF7BC3, (q31_t)0x7CABCD27, (q31_t)0xE2CE88B2,
+	(q31_t)0x7CA05FF1, (q31_t)0xE29D9A22, (q31_t)0x7C94DF82,
+	(q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE23BCAA2,
+	(q31_t)0x7C7DA504, (q31_t)0xE20AE9C1, (q31_t)0x7C71EAF8,
+	(q31_t)0xE1DA0D7E, (q31_t)0x7C661DBB, (q31_t)0xE1A935E1,
+	(q31_t)0x7C5A3D4F, (q31_t)0xE17862F3, (q31_t)0x7C4E49B6,
+	(q31_t)0xE14794B9, (q31_t)0x7C4242F2, (q31_t)0xE116CB3D,
+	(q31_t)0x7C362904, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE,
+	(q31_t)0xE0B54698, (q31_t)0x7C1DBBB2, (q31_t)0xE0848B7F,
+	(q31_t)0x7C116853, (q31_t)0xE053D541, (q31_t)0x7C0501D1,
+	(q31_t)0xE02323E5, (q31_t)0x7BF88830, (q31_t)0xDFF27773,
+	(q31_t)0x7BEBFB70, (q31_t)0xDFC1CFF2, (q31_t)0x7BDF5B94,
+	(q31_t)0xDF912D6A, (q31_t)0x7BD2A89E, (q31_t)0xDF608FE3,
+	(q31_t)0x7BC5E28F, (q31_t)0xDF2FF764, (q31_t)0x7BB9096A,
+	(q31_t)0xDEFF63F4, (q31_t)0x7BAC1D31, (q31_t)0xDECED59B,
+	(q31_t)0x7B9F1DE5, (q31_t)0xDE9E4C60, (q31_t)0x7B920B89,
+	(q31_t)0xDE6DC84B, (q31_t)0x7B84E61E, (q31_t)0xDE3D4963,
+	(q31_t)0x7B77ADA8, (q31_t)0xDE0CCFB1, (q31_t)0x7B6A6227,
+	(q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDDABEC07,
+	(q31_t)0x7B4F920E, (q31_t)0xDD7B8220, (q31_t)0x7B420D7A,
+	(q31_t)0xDD4B1D8B, (q31_t)0x7B3475E4, (q31_t)0xDD1ABE51,
+	(q31_t)0x7B26CB4F, (q31_t)0xDCEA6478, (q31_t)0x7B190DBB,
+	(q31_t)0xDCBA1008, (q31_t)0x7B0B3D2C, (q31_t)0xDC89C108,
+	(q31_t)0x7AFD59A3, (q31_t)0xDC597781, (q31_t)0x7AEF6323,
+	(q31_t)0xDC293379, (q31_t)0x7AE159AE, (q31_t)0xDBF8F4F8,
+	(q31_t)0x7AD33D45, (q31_t)0xDBC8BC05, (q31_t)0x7AC50DEB,
+	(q31_t)0xDB9888A8, (q31_t)0x7AB6CBA3, (q31_t)0xDB685AE8,
+	(q31_t)0x7AA8766E, (q31_t)0xDB3832CD, (q31_t)0x7A9A0E4F,
+	(q31_t)0xDB08105E, (q31_t)0x7A8B9348, (q31_t)0xDAD7F3A2,
+	(q31_t)0x7A7D055B, (q31_t)0xDAA7DCA1, (q31_t)0x7A6E648A,
+	(q31_t)0xDA77CB62, (q31_t)0x7A5FB0D8, (q31_t)0xDA47BFED,
+	(q31_t)0x7A50EA46, (q31_t)0xDA17BA4A, (q31_t)0x7A4210D8,
+	(q31_t)0xD9E7BA7E, (q31_t)0x7A33248F, (q31_t)0xD9B7C093,
+	(q31_t)0x7A24256E, (q31_t)0xD987CC8F, (q31_t)0x7A151377,
+	(q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD927F65B,
+	(q31_t)0x79F6B711, (q31_t)0xD8F81439, (q31_t)0x79E76CA6,
+	(q31_t)0xD8C8381C, (q31_t)0x79D80F6F, (q31_t)0xD898620C,
+	(q31_t)0x79C89F6D, (q31_t)0xD868920F, (q31_t)0x79B91CA4,
+	(q31_t)0xD838C82D, (q31_t)0x79A98715, (q31_t)0xD809046D,
+	(q31_t)0x7999DEC3, (q31_t)0xD7D946D7, (q31_t)0x798A23B1,
+	(q31_t)0xD7A98F73, (q31_t)0x797A55E0, (q31_t)0xD779DE46,
+	(q31_t)0x796A7554, (q31_t)0xD74A335A, (q31_t)0x795A820E,
+	(q31_t)0xD71A8EB5, (q31_t)0x794A7C11, (q31_t)0xD6EAF05E,
+	(q31_t)0x793A6360, (q31_t)0xD6BB585D, (q31_t)0x792A37FE,
+	(q31_t)0xD68BC6BA, (q31_t)0x7919F9EB, (q31_t)0xD65C3B7B,
+	(q31_t)0x7909A92C, (q31_t)0xD62CB6A7, (q31_t)0x78F945C3,
+	(q31_t)0xD5FD3847, (q31_t)0x78E8CFB1, (q31_t)0xD5CDC062,
+	(q31_t)0x78D846FB, (q31_t)0xD59E4EFE, (q31_t)0x78C7ABA1,
+	(q31_t)0xD56EE424, (q31_t)0x78B6FDA8, (q31_t)0xD53F7FDA,
+	(q31_t)0x78A63D10, (q31_t)0xD5102227, (q31_t)0x789569DE,
+	(q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD4B17AA7,
+	(q31_t)0x78738BB3, (q31_t)0xD48230E8, (q31_t)0x786280BF,
+	(q31_t)0xD452EDDE, (q31_t)0x7851633B, (q31_t)0xD423B190,
+	(q31_t)0x78403328, (q31_t)0xD3F47C06, (q31_t)0x782EF08B,
+	(q31_t)0xD3C54D46, (q31_t)0x781D9B64, (q31_t)0xD3962559,
+	(q31_t)0x780C33B8, (q31_t)0xD3670445, (q31_t)0x77FAB988,
+	(q31_t)0xD337EA12, (q31_t)0x77E92CD8, (q31_t)0xD308D6C6,
+	(q31_t)0x77D78DAA, (q31_t)0xD2D9CA6A, (q31_t)0x77C5DC01,
+	(q31_t)0xD2AAC504, (q31_t)0x77B417DF, (q31_t)0xD27BC69C,
+	(q31_t)0x77A24148, (q31_t)0xD24CCF38, (q31_t)0x7790583D,
+	(q31_t)0xD21DDEE1, (q31_t)0x777E5CC3, (q31_t)0xD1EEF59E,
+	(q31_t)0x776C4EDB, (q31_t)0xD1C01374, (q31_t)0x775A2E88,
+	(q31_t)0xD191386D, (q31_t)0x7747FBCE, (q31_t)0xD162648F,
+	(q31_t)0x7735B6AE, (q31_t)0xD13397E1, (q31_t)0x77235F2D,
+	(q31_t)0xD104D26B, (q31_t)0x7710F54B, (q31_t)0xD0D61433,
+	(q31_t)0x76FE790E, (q31_t)0xD0A75D42, (q31_t)0x76EBEA77,
+	(q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xD04A054D,
+	(q31_t)0x76C69646, (q31_t)0xD01B6459, (q31_t)0x76B3D0B3,
+	(q31_t)0xCFECCAC7, (q31_t)0x76A0F8D2, (q31_t)0xCFBE389F,
+	(q31_t)0x768E0EA5, (q31_t)0xCF8FADE8, (q31_t)0x767B1230,
+	(q31_t)0xCF612AAA, (q31_t)0x76680376, (q31_t)0xCF32AEEB,
+	(q31_t)0x7654E279, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C,
+	(q31_t)0xCED5CE08, (q31_t)0x762E69C3, (q31_t)0xCEA768F2,
+	(q31_t)0x761B1211, (q31_t)0xCE790B78, (q31_t)0x7607A827,
+	(q31_t)0xCE4AB5A2, (q31_t)0x75F42C0A, (q31_t)0xCE1C6776,
+	(q31_t)0x75E09DBD, (q31_t)0xCDEE20FC, (q31_t)0x75CCFD42,
+	(q31_t)0xCDBFE23A, (q31_t)0x75B94A9C, (q31_t)0xCD91AB38,
+	(q31_t)0x75A585CF, (q31_t)0xCD637BFD, (q31_t)0x7591AEDD,
+	(q31_t)0xCD355490, (q31_t)0x757DC5CA, (q31_t)0xCD0734F8,
+	(q31_t)0x7569CA98, (q31_t)0xCCD91D3D, (q31_t)0x7555BD4B,
+	(q31_t)0xCCAB0D65, (q31_t)0x75419DE6, (q31_t)0xCC7D0577,
+	(q31_t)0x752D6C6C, (q31_t)0xCC4F057B, (q31_t)0x751928E0,
+	(q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCBF31D75,
+	(q31_t)0x74F06B9E, (q31_t)0xCBC53578, (q31_t)0x74DBF1EF,
+	(q31_t)0xCB975589, (q31_t)0x74C7663A, (q31_t)0xCB697DB0,
+	(q31_t)0x74B2C883, (q31_t)0xCB3BADF2, (q31_t)0x749E18CD,
+	(q31_t)0xCB0DE658, (q31_t)0x7489571B, (q31_t)0xCAE026E8,
+	(q31_t)0x74748371, (q31_t)0xCAB26FA9, (q31_t)0x745F9DD1,
+	(q31_t)0xCA84C0A2, (q31_t)0x744AA63E, (q31_t)0xCA5719DB,
+	(q31_t)0x74359CBD, (q31_t)0xCA297B5A, (q31_t)0x74208150,
+	(q31_t)0xC9FBE527, (q31_t)0x740B53FA, (q31_t)0xC9CE5748,
+	(q31_t)0x73F614C0, (q31_t)0xC9A0D1C4, (q31_t)0x73E0C3A3,
+	(q31_t)0xC97354A3, (q31_t)0x73CB60A7, (q31_t)0xC945DFEC,
+	(q31_t)0x73B5EBD0, (q31_t)0xC91873A5, (q31_t)0x73A06522,
+	(q31_t)0xC8EB0FD6, (q31_t)0x738ACC9E, (q31_t)0xC8BDB485,
+	(q31_t)0x73752249, (q31_t)0xC89061BA, (q31_t)0x735F6626,
+	(q31_t)0xC863177B, (q31_t)0x73499838, (q31_t)0xC835D5D0,
+	(q31_t)0x7333B883, (q31_t)0xC8089CBF, (q31_t)0x731DC709,
+	(q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC7AE4489,
+	(q31_t)0x72F1AED8, (q31_t)0xC7812571, (q31_t)0x72DB8828,
+	(q31_t)0xC7540F10, (q31_t)0x72C54FC0, (q31_t)0xC727016C,
+	(q31_t)0x72AF05A6, (q31_t)0xC6F9FC8D, (q31_t)0x7298A9DC,
+	(q31_t)0xC6CD0079, (q31_t)0x72823C66, (q31_t)0xC6A00D36,
+	(q31_t)0x726BBD48, (q31_t)0xC67322CD, (q31_t)0x72552C84,
+	(q31_t)0xC6464144, (q31_t)0x723E8A1F, (q31_t)0xC61968A2,
+	(q31_t)0x7227D61C, (q31_t)0xC5EC98ED, (q31_t)0x7211107D,
+	(q31_t)0xC5BFD22E, (q31_t)0x71FA3948, (q31_t)0xC593146A,
+	(q31_t)0x71E3507F, (q31_t)0xC5665FA8, (q31_t)0x71CC5626,
+	(q31_t)0xC539B3F0, (q31_t)0x71B54A40, (q31_t)0xC50D1148,
+	(q31_t)0x719E2CD2, (q31_t)0xC4E077B8, (q31_t)0x7186FDDE,
+	(q31_t)0xC4B3E746, (q31_t)0x716FBD68, (q31_t)0xC4875FF8,
+	(q31_t)0x71586B73, (q31_t)0xC45AE1D7, (q31_t)0x71410804,
+	(q31_t)0xC42E6CE8, (q31_t)0x7129931E, (q31_t)0xC4020132,
+	(q31_t)0x71120CC5, (q31_t)0xC3D59EBD, (q31_t)0x70FA74FB,
+	(q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC37CF5B0,
+	(q31_t)0x70CB1127, (q31_t)0xC350AF25, (q31_t)0x70B34524,
+	(q31_t)0xC32471F6, (q31_t)0x709B67C0, (q31_t)0xC2F83E2A,
+	(q31_t)0x708378FE, (q31_t)0xC2CC13C7, (q31_t)0x706B78E3,
+	(q31_t)0xC29FF2D4, (q31_t)0x70536771, (q31_t)0xC273DB58,
+	(q31_t)0x703B44AC, (q31_t)0xC247CD5A, (q31_t)0x70231099,
+	(q31_t)0xC21BC8E0, (q31_t)0x700ACB3B, (q31_t)0xC1EFCDF2,
+	(q31_t)0x6FF27496, (q31_t)0xC1C3DC96, (q31_t)0x6FDA0CAD,
+	(q31_t)0xC197F4D3, (q31_t)0x6FC19385, (q31_t)0xC16C16B0,
+	(q31_t)0x6FA90920, (q31_t)0xC1404233, (q31_t)0x6F906D84,
+	(q31_t)0xC1147763, (q31_t)0x6F77C0B3, (q31_t)0xC0E8B648,
+	(q31_t)0x6F5F02B1, (q31_t)0xC0BCFEE7, (q31_t)0x6F463383,
+	(q31_t)0xC0915147, (q31_t)0x6F2D532C, (q31_t)0xC065AD70,
+	(q31_t)0x6F1461AF, (q31_t)0xC03A1368, (q31_t)0x6EFB5F12,
+	(q31_t)0xC00E8335, (q31_t)0x6EE24B57, (q31_t)0xBFE2FCDF,
+	(q31_t)0x6EC92682, (q31_t)0xBFB7806C, (q31_t)0x6EAFF098,
+	(q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBF60A54A,
+	(q31_t)0x6E7D5193, (q31_t)0xBF3546A8, (q31_t)0x6E63E87F,
+	(q31_t)0xBF09F204, (q31_t)0x6E4A6E65, (q31_t)0xBEDEA765,
+	(q31_t)0x6E30E349, (q31_t)0xBEB366D1, (q31_t)0x6E17472F,
+	(q31_t)0xBE88304F, (q31_t)0x6DFD9A1B, (q31_t)0xBE5D03E5,
+	(q31_t)0x6DE3DC11, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14,
+	(q31_t)0xBE06C977, (q31_t)0x6DB02D29, (q31_t)0xBDDBBB7F,
+	(q31_t)0x6D963C54, (q31_t)0xBDB0B7BA, (q31_t)0x6D7C3A98,
+	(q31_t)0xBD85BE2F, (q31_t)0x6D6227FA, (q31_t)0xBD5ACEE5,
+	(q31_t)0x6D48047E, (q31_t)0xBD2FE9E1, (q31_t)0x6D2DD027,
+	(q31_t)0xBD050F2C, (q31_t)0x6D138AFA, (q31_t)0xBCDA3ECA,
+	(q31_t)0x6CF934FB, (q31_t)0xBCAF78C3, (q31_t)0x6CDECE2E,
+	(q31_t)0xBC84BD1E, (q31_t)0x6CC45697, (q31_t)0xBC5A0BE1,
+	(q31_t)0x6CA9CE3A, (q31_t)0xBC2F6513, (q31_t)0x6C8F351C,
+	(q31_t)0xBC04C8BA, (q31_t)0x6C748B3F, (q31_t)0xBBDA36DC,
+	(q31_t)0x6C59D0A9, (q31_t)0xBBAFAF81, (q31_t)0x6C3F055D,
+	(q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBB5AC06C,
+	(q31_t)0x6C093CB6, (q31_t)0xBB3058C0, (q31_t)0x6BEE3F62,
+	(q31_t)0xBB05FBB0, (q31_t)0x6BD3316A, (q31_t)0xBADBA943,
+	(q31_t)0x6BB812D0, (q31_t)0xBAB1617F, (q31_t)0x6B9CE39B,
+	(q31_t)0xBA87246C, (q31_t)0x6B81A3CD, (q31_t)0xBA5CF210,
+	(q31_t)0x6B66536A, (q31_t)0xBA32CA70, (q31_t)0x6B4AF278,
+	(q31_t)0xBA08AD94, (q31_t)0x6B2F80FA, (q31_t)0xB9DE9B83,
+	(q31_t)0x6B13FEF5, (q31_t)0xB9B49442, (q31_t)0x6AF86C6C,
+	(q31_t)0xB98A97D8, (q31_t)0x6ADCC964, (q31_t)0xB960A64B,
+	(q31_t)0x6AC115E1, (q31_t)0xB936BFA3, (q31_t)0x6AA551E8,
+	(q31_t)0xB90CE3E6, (q31_t)0x6A897D7D, (q31_t)0xB8E31319,
+	(q31_t)0x6A6D98A4, (q31_t)0xB8B94D44, (q31_t)0x6A51A361,
+	(q31_t)0xB88F926C, (q31_t)0x6A359DB9, (q31_t)0xB865E299,
+	(q31_t)0x6A1987B0, (q31_t)0xB83C3DD1, (q31_t)0x69FD614A,
+	(q31_t)0xB812A419, (q31_t)0x69E12A8C, (q31_t)0xB7E9157A,
+	(q31_t)0x69C4E37A, (q31_t)0xB7BF91F8, (q31_t)0x69A88C18,
+	(q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB76CAC68,
+	(q31_t)0x696FAC78, (q31_t)0xB7434A67, (q31_t)0x69532442,
+	(q31_t)0xB719F39D, (q31_t)0x69368BCE, (q31_t)0xB6F0A811,
+	(q31_t)0x6919E320, (q31_t)0xB6C767CA, (q31_t)0x68FD2A3D,
+	(q31_t)0xB69E32CD, (q31_t)0x68E06129, (q31_t)0xB6750921,
+	(q31_t)0x68C387E9, (q31_t)0xB64BEACC, (q31_t)0x68A69E81,
+	(q31_t)0xB622D7D5, (q31_t)0x6889A4F5, (q31_t)0xB5F9D042,
+	(q31_t)0x686C9B4B, (q31_t)0xB5D0D41A, (q31_t)0x684F8186,
+	(q31_t)0xB5A7E362, (q31_t)0x683257AA, (q31_t)0xB57EFE21,
+	(q31_t)0x68151DBE, (q31_t)0xB556245E, (q31_t)0x67F7D3C4,
+	(q31_t)0xB52D561E, (q31_t)0x67DA79C2, (q31_t)0xB5049368,
+	(q31_t)0x67BD0FBC, (q31_t)0xB4DBDC42, (q31_t)0x679F95B7,
+	(q31_t)0xB4B330B2, (q31_t)0x67820BB6, (q31_t)0xB48A90C0,
+	(q31_t)0x676471C0, (q31_t)0xB461FC70, (q31_t)0x6746C7D7,
+	(q31_t)0xB43973C9, (q31_t)0x67290E02, (q31_t)0xB410F6D2,
+	(q31_t)0x670B4443, (q31_t)0xB3E88591, (q31_t)0x66ED6AA1,
+	(q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB397C649,
+	(q31_t)0x66B187C3, (q31_t)0xB36F784E, (q31_t)0x66937E90,
+	(q31_t)0xB3473622, (q31_t)0x6675658C, (q31_t)0xB31EFFCB,
+	(q31_t)0x66573CBB, (q31_t)0xB2F6D54F, (q31_t)0x66390422,
+	(q31_t)0xB2CEB6B5, (q31_t)0x661ABBC5, (q31_t)0xB2A6A401,
+	(q31_t)0x65FC63A9, (q31_t)0xB27E9D3B, (q31_t)0x65DDFBD3,
+	(q31_t)0xB256A26A, (q31_t)0x65BF8447, (q31_t)0xB22EB392,
+	(q31_t)0x65A0FD0B, (q31_t)0xB206D0BA, (q31_t)0x65826622,
+	(q31_t)0xB1DEF9E8, (q31_t)0x6563BF92, (q31_t)0xB1B72F23,
+	(q31_t)0x6545095F, (q31_t)0xB18F7070, (q31_t)0x6526438E,
+	(q31_t)0xB167BDD6, (q31_t)0x65076E24, (q31_t)0xB140175B,
+	(q31_t)0x64E88926, (q31_t)0xB1187D05, (q31_t)0x64C99498,
+	(q31_t)0xB0F0EEDA, (q31_t)0x64AA907F, (q31_t)0xB0C96CDF,
+	(q31_t)0x648B7CDF, (q31_t)0xB0A1F71C, (q31_t)0x646C59BF,
+	(q31_t)0xB07A8D97, (q31_t)0x644D2722, (q31_t)0xB0533055,
+	(q31_t)0x642DE50D, (q31_t)0xB02BDF5C, (q31_t)0x640E9385,
+	(q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAFDD625F,
+	(q31_t)0x63CFC230, (q31_t)0xAFB63667, (q31_t)0x63B0426D,
+	(q31_t)0xAF8F16D0, (q31_t)0x6390B34A, (q31_t)0xAF6803A1,
+	(q31_t)0x637114CC, (q31_t)0xAF40FCE0, (q31_t)0x635166F8,
+	(q31_t)0xAF1A0293, (q31_t)0x6331A9D4, (q31_t)0xAEF314BF,
+	(q31_t)0x6311DD63, (q31_t)0xAECC336B, (q31_t)0x62F201AC,
+	(q31_t)0xAEA55E9D, (q31_t)0x62D216B2, (q31_t)0xAE7E965B,
+	(q31_t)0x62B21C7B, (q31_t)0xAE57DAAA, (q31_t)0x6292130C,
+	(q31_t)0xAE312B91, (q31_t)0x6271FA69, (q31_t)0xAE0A8916,
+	(q31_t)0x6251D297, (q31_t)0xADE3F33E, (q31_t)0x62319B9D,
+	(q31_t)0xADBD6A10, (q31_t)0x6211557D, (q31_t)0xAD96ED91,
+	(q31_t)0x61F1003E, (q31_t)0xAD707DC8, (q31_t)0x61D09BE5,
+	(q31_t)0xAD4A1ABA, (q31_t)0x61B02876, (q31_t)0xAD23C46D,
+	(q31_t)0x618FA5F6, (q31_t)0xACFD7AE8, (q31_t)0x616F146B,
+	(q31_t)0xACD73E30, (q31_t)0x614E73D9, (q31_t)0xACB10E4A,
+	(q31_t)0x612DC446, (q31_t)0xAC8AEB3E, (q31_t)0x610D05B7,
+	(q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAC3ECBC7,
+	(q31_t)0x60CB5BB6, (q31_t)0xAC18CF68, (q31_t)0x60AA704F,
+	(q31_t)0xABF2DFFA, (q31_t)0x60897600, (q31_t)0xABCCFD82,
+	(q31_t)0x60686CCE, (q31_t)0xABA72806, (q31_t)0x604754BE,
+	(q31_t)0xAB815F8C, (q31_t)0x60262DD5, (q31_t)0xAB5BA41A,
+	(q31_t)0x6004F818, (q31_t)0xAB35F5B5, (q31_t)0x5FE3B38D,
+	(q31_t)0xAB105464, (q31_t)0x5FC26038, (q31_t)0xAAEAC02B,
+	(q31_t)0x5FA0FE1E, (q31_t)0xAAC53912, (q31_t)0x5F7F8D46,
+	(q31_t)0xAA9FBF1D, (q31_t)0x5F5E0DB3, (q31_t)0xAA7A5253,
+	(q31_t)0x5F3C7F6B, (q31_t)0xAA54F2B9, (q31_t)0x5F1AE273,
+	(q31_t)0xAA2FA055, (q31_t)0x5EF936D1, (q31_t)0xAA0A5B2D,
+	(q31_t)0x5ED77C89, (q31_t)0xA9E52347, (q31_t)0x5EB5B3A1,
+	(q31_t)0xA9BFF8A8, (q31_t)0x5E93DC1F, (q31_t)0xA99ADB56,
+	(q31_t)0x5E71F606, (q31_t)0xA975CB56, (q31_t)0x5E50015D,
+	(q31_t)0xA950C8AF, (q31_t)0x5E2DFE28, (q31_t)0xA92BD366,
+	(q31_t)0x5E0BEC6E, (q31_t)0xA906EB81, (q31_t)0x5DE9CC32,
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+	(q31_t)0x343ACA87, (q31_t)0x8B0F9461, (q31_t)0x340CE28A,
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+	(q31_t)0x3211DF03, (q31_t)0x8A1F6242, (q31_t)0x31E39889,
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+	(q31_t)0x89D1963C, (q31_t)0x312A31F8, (q31_t)0x89BE50C3,
+	(q31_t)0x30FBC54D, (q31_t)0x89AB1D86, (q31_t)0x30CD5114,
+	(q31_t)0x8997FC89, (q31_t)0x309ED555, (q31_t)0x8984EDCF,
+	(q31_t)0x30705217, (q31_t)0x8971F15A, (q31_t)0x3041C760,
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+	(q31_t)0x2FE49BA6, (q31_t)0x893969B9, (q31_t)0x2FB5FAB2,
+	(q31_t)0x8926B677, (q31_t)0x2F875262, (q31_t)0x89141589,
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+	(q31_t)0x04E8543D, (q31_t)0x80163440, (q31_t)0x04B6195D,
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+	(q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x8001E39B,
+	(q31_t)0x015FDA03, (q31_t)0x8001634D, (q31_t)0x012D96B0,
+	(q31_t)0x8000F6BD, (q31_t)0x00FB532F, (q31_t)0x80009DE9,
+	(q31_t)0x00C90F88, (q31_t)0x800058D3, (q31_t)0x0096CBC1,
+	(q31_t)0x8000277A, (q31_t)0x006487E3, (q31_t)0x800009DE,
+	(q31_t)0x003243F5, (q31_t)0x80000000, (q31_t)0x00000000,
+	(q31_t)0x800009DE, (q31_t)0xFFCDBC0A, (q31_t)0x8000277A,
+	(q31_t)0xFF9B781D, (q31_t)0x800058D3, (q31_t)0xFF69343E,
+	(q31_t)0x80009DE9, (q31_t)0xFF36F078, (q31_t)0x8000F6BD,
+	(q31_t)0xFF04ACD0, (q31_t)0x8001634D, (q31_t)0xFED2694F,
+	(q31_t)0x8001E39B, (q31_t)0xFEA025FC, (q31_t)0x800277A5,
+	(q31_t)0xFE6DE2E0, (q31_t)0x80031F6C, (q31_t)0xFE3BA001,
+	(q31_t)0x8003DAF0, (q31_t)0xFE095D69, (q31_t)0x8004AA31,
+	(q31_t)0xFDD71B1E, (q31_t)0x80058D2E, (q31_t)0xFDA4D928,
+	(q31_t)0x800683E8, (q31_t)0xFD72978F, (q31_t)0x80078E5E,
+	(q31_t)0xFD40565B, (q31_t)0x8008AC90, (q31_t)0xFD0E1594,
+	(q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x800B2427,
+	(q31_t)0xFCA99569, (q31_t)0x800C7D8C, (q31_t)0xFC775616,
+	(q31_t)0x800DEAAC, (q31_t)0xFC45174E, (q31_t)0x800F6B88,
+	(q31_t)0xFC12D919, (q31_t)0x8011001E, (q31_t)0xFBE09B80,
+	(q31_t)0x8012A86F, (q31_t)0xFBAE5E89, (q31_t)0x8014647A,
+	(q31_t)0xFB7C223C, (q31_t)0x80163440, (q31_t)0xFB49E6A2,
+	(q31_t)0x801817BF, (q31_t)0xFB17ABC2, (q31_t)0x801A0EF7,
+	(q31_t)0xFAE571A4, (q31_t)0x801C19E9, (q31_t)0xFAB3384F,
+	(q31_t)0x801E3894, (q31_t)0xFA80FFCB, (q31_t)0x80206AF8,
+	(q31_t)0xFA4EC820, (q31_t)0x8022B113, (q31_t)0xFA1C9156,
+	(q31_t)0x80250AE7, (q31_t)0xF9EA5B75, (q31_t)0x80277872,
+	(q31_t)0xF9B82683, (q31_t)0x8029F9B4, (q31_t)0xF985F28A,
+	(q31_t)0x802C8EAD, (q31_t)0xF953BF90, (q31_t)0x802F375C,
+	(q31_t)0xF9218D9E, (q31_t)0x8031F3C1, (q31_t)0xF8EF5CBB,
+	(q31_t)0x8034C3DC, (q31_t)0xF8BD2CEF, (q31_t)0x8037A7AC,
+	(q31_t)0xF88AFE41, (q31_t)0x803A9F31, (q31_t)0xF858D0BA,
+	(q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8040C956,
+	(q31_t)0xF7F4793E, (q31_t)0x8043FBF6, (q31_t)0xF7C24F58,
+	(q31_t)0x80474248, (q31_t)0xF79026B8, (q31_t)0x804A9C4D,
+	(q31_t)0xF75DFF65, (q31_t)0x804E0A03, (q31_t)0xF72BD967,
+	(q31_t)0x80518B6B, (q31_t)0xF6F9B4C5, (q31_t)0x80552083,
+	(q31_t)0xF6C79188, (q31_t)0x8058C94C, (q31_t)0xF6956FB6,
+	(q31_t)0x805C85C3, (q31_t)0xF6634F58, (q31_t)0x806055EA,
+	(q31_t)0xF6313076, (q31_t)0x806439C0, (q31_t)0xF5FF1317,
+	(q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x806C3C73,
+	(q31_t)0xF59ADD01, (q31_t)0x80705B50, (q31_t)0xF568C45A,
+	(q31_t)0x80748DD9, (q31_t)0xF536AD55, (q31_t)0x8078D40D,
+	(q31_t)0xF50497FA, (q31_t)0x807D2DEB, (q31_t)0xF4D28451,
+	(q31_t)0x80819B74, (q31_t)0xF4A07260, (q31_t)0x80861CA5,
+	(q31_t)0xF46E6231, (q31_t)0x808AB180, (q31_t)0xF43C53CA,
+	(q31_t)0x808F5A02, (q31_t)0xF40A4734, (q31_t)0x8094162B,
+	(q31_t)0xF3D83C76, (q31_t)0x8098E5FB, (q31_t)0xF3A63398,
+	(q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80A2C08B,
+	(q31_t)0xF342279A, (q31_t)0x80A7CB49, (q31_t)0xF310248A,
+	(q31_t)0x80ACE9AB, (q31_t)0xF2DE2378, (q31_t)0x80B21BAF,
+	(q31_t)0xF2AC246D, (q31_t)0x80B76155, (q31_t)0xF27A2770,
+	(q31_t)0x80BCBA9C, (q31_t)0xF2482C89, (q31_t)0x80C22783,
+	(q31_t)0xF21633C0, (q31_t)0x80C7A80A, (q31_t)0xF1E43D1C,
+	(q31_t)0x80CD3C2F, (q31_t)0xF1B248A5, (q31_t)0x80D2E3F1,
+	(q31_t)0xF1805662, (q31_t)0x80D89F51, (q31_t)0xF14E665C,
+	(q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80E450E2,
+	(q31_t)0xF0EA8D23, (q31_t)0x80EA4712, (q31_t)0xF0B8A401,
+	(q31_t)0x80F050DB, (q31_t)0xF086BD39, (q31_t)0x80F66E3C,
+	(q31_t)0xF054D8D4, (q31_t)0x80FC9F35, (q31_t)0xF022F6DA,
+	(q31_t)0x8102E3C3, (q31_t)0xEFF11752, (q31_t)0x81093BE8,
+	(q31_t)0xEFBF3A44, (q31_t)0x810FA7A0, (q31_t)0xEF8D5FB8,
+	(q31_t)0x811626EC, (q31_t)0xEF5B87B5, (q31_t)0x811CB9CA,
+	(q31_t)0xEF29B243, (q31_t)0x81236039, (q31_t)0xEEF7DF6A,
+	(q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8130E7C8,
+	(q31_t)0xEE9441A0, (q31_t)0x8137C8E6, (q31_t)0xEE6276BF,
+	(q31_t)0x813EBD90, (q31_t)0xEE30AE95, (q31_t)0x8145C5C6,
+	(q31_t)0xEDFEE92B, (q31_t)0x814CE188, (q31_t)0xEDCD2687,
+	(q31_t)0x815410D3, (q31_t)0xED9B66B2, (q31_t)0x815B53A8,
+	(q31_t)0xED69A9B2, (q31_t)0x8162AA03, (q31_t)0xED37EF91,
+	(q31_t)0x816A13E6, (q31_t)0xED063855, (q31_t)0x8171914E,
+	(q31_t)0xECD48406, (q31_t)0x8179223A, (q31_t)0xECA2D2AC,
+	(q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81887E9A,
+	(q31_t)0xEC3F78F5, (q31_t)0x81904A0C, (q31_t)0xEC0DD0A8,
+	(q31_t)0x819828FD, (q31_t)0xEBDC2B6D, (q31_t)0x81A01B6C,
+	(q31_t)0xEBAA894E, (q31_t)0x81A82159, (q31_t)0xEB78EA52,
+	(q31_t)0x81B03AC1, (q31_t)0xEB474E80, (q31_t)0x81B867A4,
+	(q31_t)0xEB15B5E0, (q31_t)0x81C0A801, (q31_t)0xEAE4207A,
+	(q31_t)0x81C8FBD5, (q31_t)0xEAB28E55, (q31_t)0x81D16320,
+	(q31_t)0xEA80FF79, (q31_t)0x81D9DDE1, (q31_t)0xEA4F73EE,
+	(q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x81EB0DBD,
+	(q31_t)0xE9EC66E8, (q31_t)0x81F3C2D7, (q31_t)0xE9BAE57C,
+	(q31_t)0x81FC8B60, (q31_t)0xE9896780, (q31_t)0x82056758,
+	(q31_t)0xE957ECFB, (q31_t)0x820E56BE, (q31_t)0xE92675F4,
+	(q31_t)0x8217598F, (q31_t)0xE8F50273, (q31_t)0x82206FCB,
+	(q31_t)0xE8C3927F, (q31_t)0x82299971, (q31_t)0xE8922621,
+	(q31_t)0x8232D67E, (q31_t)0xE860BD60, (q31_t)0x823C26F2,
+	(q31_t)0xE82F5844, (q31_t)0x82458ACB, (q31_t)0xE7FDF6D3,
+	(q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x82588CA6,
+	(q31_t)0xE79B3F16, (q31_t)0x82622AA5, (q31_t)0xE769E8D8,
+	(q31_t)0x826BDC04, (q31_t)0xE7389664, (q31_t)0x8275A0C0,
+	(q31_t)0xE70747C3, (q31_t)0x827F78D8, (q31_t)0xE6D5FCFC,
+	(q31_t)0x8289644A, (q31_t)0xE6A4B616, (q31_t)0x82936316,
+	(q31_t)0xE6737319, (q31_t)0x829D753A, (q31_t)0xE642340D,
+	(q31_t)0x82A79AB3, (q31_t)0xE610F8F9, (q31_t)0x82B1D381,
+	(q31_t)0xE5DFC1E4, (q31_t)0x82BC1FA1, (q31_t)0xE5AE8ED8,
+	(q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82D0F1D5,
+	(q31_t)0xE54C34F3, (q31_t)0x82DB77E5, (q31_t)0xE51B0E2A,
+	(q31_t)0x82E61141, (q31_t)0xE4E9EB86, (q31_t)0x82F0BDE8,
+	(q31_t)0xE4B8CD10, (q31_t)0x82FB7DD8, (q31_t)0xE487B2CF,
+	(q31_t)0x8306510F, (q31_t)0xE4569CCB, (q31_t)0x8311378C,
+	(q31_t)0xE4258B0A, (q31_t)0x831C314E, (q31_t)0xE3F47D95,
+	(q31_t)0x83273E52, (q31_t)0xE3C37473, (q31_t)0x83325E97,
+	(q31_t)0xE3926FAC, (q31_t)0x833D921A, (q31_t)0xE3616F47,
+	(q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x835432D8,
+	(q31_t)0xE2FF7BC3, (q31_t)0x835FA00E, (q31_t)0xE2CE88B2,
+	(q31_t)0x836B207D, (q31_t)0xE29D9A22, (q31_t)0x8376B422,
+	(q31_t)0xE26CB01A, (q31_t)0x83825AFB, (q31_t)0xE23BCAA2,
+	(q31_t)0x838E1507, (q31_t)0xE20AE9C1, (q31_t)0x8399E244,
+	(q31_t)0xE1DA0D7E, (q31_t)0x83A5C2B0, (q31_t)0xE1A935E1,
+	(q31_t)0x83B1B649, (q31_t)0xE17862F3, (q31_t)0x83BDBD0D,
+	(q31_t)0xE14794B9, (q31_t)0x83C9D6FB, (q31_t)0xE116CB3D,
+	(q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x83E2444D,
+	(q31_t)0xE0B54698, (q31_t)0x83EE97AC, (q31_t)0xE0848B7F,
+	(q31_t)0x83FAFE2E, (q31_t)0xE053D541, (q31_t)0x840777CF,
+	(q31_t)0xE02323E5, (q31_t)0x8414048F, (q31_t)0xDFF27773,
+	(q31_t)0x8420A46B, (q31_t)0xDFC1CFF2, (q31_t)0x842D5761,
+	(q31_t)0xDF912D6A, (q31_t)0x843A1D70, (q31_t)0xDF608FE3,
+	(q31_t)0x8446F695, (q31_t)0xDF2FF764, (q31_t)0x8453E2CE,
+	(q31_t)0xDEFF63F4, (q31_t)0x8460E21A, (q31_t)0xDECED59B,
+	(q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x847B19E1,
+	(q31_t)0xDE6DC84B, (q31_t)0x84885257, (q31_t)0xDE3D4963,
+	(q31_t)0x84959DD9, (q31_t)0xDE0CCFB1, (q31_t)0x84A2FC62,
+	(q31_t)0xDDDC5B3A, (q31_t)0x84B06DF1, (q31_t)0xDDABEC07,
+	(q31_t)0x84BDF285, (q31_t)0xDD7B8220, (q31_t)0x84CB8A1B,
+	(q31_t)0xDD4B1D8B, (q31_t)0x84D934B0, (q31_t)0xDD1ABE51,
+	(q31_t)0x84E6F244, (q31_t)0xDCEA6478, (q31_t)0x84F4C2D3,
+	(q31_t)0xDCBA1008, (q31_t)0x8502A65C, (q31_t)0xDC89C108,
+	(q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x851EA652,
+	(q31_t)0xDC293379, (q31_t)0x852CC2BA, (q31_t)0xDBF8F4F8,
+	(q31_t)0x853AF214, (q31_t)0xDBC8BC05, (q31_t)0x8549345C,
+	(q31_t)0xDB9888A8, (q31_t)0x85578991, (q31_t)0xDB685AE8,
+	(q31_t)0x8565F1B0, (q31_t)0xDB3832CD, (q31_t)0x85746CB7,
+	(q31_t)0xDB08105E, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2,
+	(q31_t)0x85919B75, (q31_t)0xDAA7DCA1, (q31_t)0x85A04F28,
+	(q31_t)0xDA77CB62, (q31_t)0x85AF15B9, (q31_t)0xDA47BFED,
+	(q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85CCDB70,
+	(q31_t)0xD9E7BA7E, (q31_t)0x85DBDA91, (q31_t)0xD9B7C093,
+	(q31_t)0x85EAEC88, (q31_t)0xD987CC8F, (q31_t)0x85FA1152,
+	(q31_t)0xD957DE7A, (q31_t)0x860948EE, (q31_t)0xD927F65B,
+	(q31_t)0x86189359, (q31_t)0xD8F81439, (q31_t)0x8627F090,
+	(q31_t)0xD8C8381C, (q31_t)0x86376092, (q31_t)0xD898620C,
+	(q31_t)0x8646E35B, (q31_t)0xD868920F, (q31_t)0x865678EA,
+	(q31_t)0xD838C82D, (q31_t)0x8666213C, (q31_t)0xD809046D,
+	(q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x8685AA1F,
+	(q31_t)0xD7A98F73, (q31_t)0x86958AAB, (q31_t)0xD779DE46,
+	(q31_t)0x86A57DF1, (q31_t)0xD74A335A, (q31_t)0x86B583EE,
+	(q31_t)0xD71A8EB5, (q31_t)0x86C59C9F, (q31_t)0xD6EAF05E,
+	(q31_t)0x86D5C802, (q31_t)0xD6BB585D, (q31_t)0x86E60614,
+	(q31_t)0xD68BC6BA, (q31_t)0x86F656D3, (q31_t)0xD65C3B7B,
+	(q31_t)0x8706BA3C, (q31_t)0xD62CB6A7, (q31_t)0x8717304E,
+	(q31_t)0xD5FD3847, (q31_t)0x8727B904, (q31_t)0xD5CDC062,
+	(q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x87490257,
+	(q31_t)0xD56EE424, (q31_t)0x8759C2EF, (q31_t)0xD53F7FDA,
+	(q31_t)0x876A9621, (q31_t)0xD5102227, (q31_t)0x877B7BEC,
+	(q31_t)0xD4E0CB14, (q31_t)0x878C744C, (q31_t)0xD4B17AA7,
+	(q31_t)0x879D7F40, (q31_t)0xD48230E8, (q31_t)0x87AE9CC5,
+	(q31_t)0xD452EDDE, (q31_t)0x87BFCCD7, (q31_t)0xD423B190,
+	(q31_t)0x87D10F75, (q31_t)0xD3F47C06, (q31_t)0x87E2649B,
+	(q31_t)0xD3C54D46, (q31_t)0x87F3CC47, (q31_t)0xD3962559,
+	(q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x8816D327,
+	(q31_t)0xD337EA12, (q31_t)0x88287255, (q31_t)0xD308D6C6,
+	(q31_t)0x883A23FE, (q31_t)0xD2D9CA6A, (q31_t)0x884BE820,
+	(q31_t)0xD2AAC504, (q31_t)0x885DBEB7, (q31_t)0xD27BC69C,
+	(q31_t)0x886FA7C2, (q31_t)0xD24CCF38, (q31_t)0x8881A33C,
+	(q31_t)0xD21DDEE1, (q31_t)0x8893B124, (q31_t)0xD1EEF59E,
+	(q31_t)0x88A5D177, (q31_t)0xD1C01374, (q31_t)0x88B80431,
+	(q31_t)0xD191386D, (q31_t)0x88CA4951, (q31_t)0xD162648F,
+	(q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x88EF0AB4,
+	(q31_t)0xD104D26B, (q31_t)0x890186F1, (q31_t)0xD0D61433,
+	(q31_t)0x89141589, (q31_t)0xD0A75D42, (q31_t)0x8926B677,
+	(q31_t)0xD078AD9D, (q31_t)0x893969B9, (q31_t)0xD04A054D,
+	(q31_t)0x894C2F4C, (q31_t)0xD01B6459, (q31_t)0x895F072D,
+	(q31_t)0xCFECCAC7, (q31_t)0x8971F15A, (q31_t)0xCFBE389F,
+	(q31_t)0x8984EDCF, (q31_t)0xCF8FADE8, (q31_t)0x8997FC89,
+	(q31_t)0xCF612AAA, (q31_t)0x89AB1D86, (q31_t)0xCF32AEEB,
+	(q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x89D1963C,
+	(q31_t)0xCED5CE08, (q31_t)0x89E4EDEE, (q31_t)0xCEA768F2,
+	(q31_t)0x89F857D8, (q31_t)0xCE790B78, (q31_t)0x8A0BD3F5,
+	(q31_t)0xCE4AB5A2, (q31_t)0x8A1F6242, (q31_t)0xCE1C6776,
+	(q31_t)0x8A3302BD, (q31_t)0xCDEE20FC, (q31_t)0x8A46B563,
+	(q31_t)0xCDBFE23A, (q31_t)0x8A5A7A30, (q31_t)0xCD91AB38,
+	(q31_t)0x8A6E5122, (q31_t)0xCD637BFD, (q31_t)0x8A823A35,
+	(q31_t)0xCD355490, (q31_t)0x8A963567, (q31_t)0xCD0734F8,
+	(q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8ABE6219,
+	(q31_t)0xCCAB0D65, (q31_t)0x8AD29393, (q31_t)0xCC7D0577,
+	(q31_t)0x8AE6D71F, (q31_t)0xCC4F057B, (q31_t)0x8AFB2CBA,
+	(q31_t)0xCC210D78, (q31_t)0x8B0F9461, (q31_t)0xCBF31D75,
+	(q31_t)0x8B240E10, (q31_t)0xCBC53578, (q31_t)0x8B3899C5,
+	(q31_t)0xCB975589, (q31_t)0x8B4D377C, (q31_t)0xCB697DB0,
+	(q31_t)0x8B61E732, (q31_t)0xCB3BADF2, (q31_t)0x8B76A8E4,
+	(q31_t)0xCB0DE658, (q31_t)0x8B8B7C8F, (q31_t)0xCAE026E8,
+	(q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BB559C1,
+	(q31_t)0xCA84C0A2, (q31_t)0x8BCA6342, (q31_t)0xCA5719DB,
+	(q31_t)0x8BDF7EAF, (q31_t)0xCA297B5A, (q31_t)0x8BF4AC05,
+	(q31_t)0xC9FBE527, (q31_t)0x8C09EB40, (q31_t)0xC9CE5748,
+	(q31_t)0x8C1F3C5C, (q31_t)0xC9A0D1C4, (q31_t)0x8C349F58,
+	(q31_t)0xC97354A3, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC,
+	(q31_t)0x8C5F9ADD, (q31_t)0xC91873A5, (q31_t)0x8C753361,
+	(q31_t)0xC8EB0FD6, (q31_t)0x8C8ADDB6, (q31_t)0xC8BDB485,
+	(q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CB667C7,
+	(q31_t)0xC863177B, (q31_t)0x8CCC477D, (q31_t)0xC835D5D0,
+	(q31_t)0x8CE238F6, (q31_t)0xC8089CBF, (q31_t)0x8CF83C30,
+	(q31_t)0xC7DB6C50, (q31_t)0x8D0E5127, (q31_t)0xC7AE4489,
+	(q31_t)0x8D2477D8, (q31_t)0xC7812571, (q31_t)0x8D3AB03F,
+	(q31_t)0xC7540F10, (q31_t)0x8D50FA59, (q31_t)0xC727016C,
+	(q31_t)0x8D675623, (q31_t)0xC6F9FC8D, (q31_t)0x8D7DC399,
+	(q31_t)0xC6CD0079, (q31_t)0x8D9442B7, (q31_t)0xC6A00D36,
+	(q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8DC175E0,
+	(q31_t)0xC6464144, (q31_t)0x8DD829E4, (q31_t)0xC61968A2,
+	(q31_t)0x8DEEEF82, (q31_t)0xC5EC98ED, (q31_t)0x8E05C6B7,
+	(q31_t)0xC5BFD22E, (q31_t)0x8E1CAF80, (q31_t)0xC593146A,
+	(q31_t)0x8E33A9D9, (q31_t)0xC5665FA8, (q31_t)0x8E4AB5BF,
+	(q31_t)0xC539B3F0, (q31_t)0x8E61D32D, (q31_t)0xC50D1148,
+	(q31_t)0x8E790222, (q31_t)0xC4E077B8, (q31_t)0x8E904298,
+	(q31_t)0xC4B3E746, (q31_t)0x8EA7948C, (q31_t)0xC4875FF8,
+	(q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8ED66CE1,
+	(q31_t)0xC42E6CE8, (q31_t)0x8EEDF33B, (q31_t)0xC4020132,
+	(q31_t)0x8F058B04, (q31_t)0xC3D59EBD, (q31_t)0x8F1D343A,
+	(q31_t)0xC3A9458F, (q31_t)0x8F34EED8, (q31_t)0xC37CF5B0,
+	(q31_t)0x8F4CBADB, (q31_t)0xC350AF25, (q31_t)0x8F64983F,
+	(q31_t)0xC32471F6, (q31_t)0x8F7C8701, (q31_t)0xC2F83E2A,
+	(q31_t)0x8F94871D, (q31_t)0xC2CC13C7, (q31_t)0x8FAC988E,
+	(q31_t)0xC29FF2D4, (q31_t)0x8FC4BB53, (q31_t)0xC273DB58,
+	(q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x8FF534C4,
+	(q31_t)0xC21BC8E0, (q31_t)0x900D8B69, (q31_t)0xC1EFCDF2,
+	(q31_t)0x9025F352, (q31_t)0xC1C3DC96, (q31_t)0x903E6C7A,
+	(q31_t)0xC197F4D3, (q31_t)0x9056F6DF, (q31_t)0xC16C16B0,
+	(q31_t)0x906F927B, (q31_t)0xC1404233, (q31_t)0x90883F4C,
+	(q31_t)0xC1147763, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648,
+	(q31_t)0x90B9CC7C, (q31_t)0xC0BCFEE7, (q31_t)0x90D2ACD3,
+	(q31_t)0xC0915147, (q31_t)0x90EB9E50, (q31_t)0xC065AD70,
+	(q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x911DB4A8,
+	(q31_t)0xC00E8335, (q31_t)0x9136D97D, (q31_t)0xBFE2FCDF,
+	(q31_t)0x91500F67, (q31_t)0xBFB7806C, (q31_t)0x91695663,
+	(q31_t)0xBF8C0DE2, (q31_t)0x9182AE6C, (q31_t)0xBF60A54A,
+	(q31_t)0x919C1780, (q31_t)0xBF3546A8, (q31_t)0x91B5919A,
+	(q31_t)0xBF09F204, (q31_t)0x91CF1CB6, (q31_t)0xBEDEA765,
+	(q31_t)0x91E8B8D0, (q31_t)0xBEB366D1, (q31_t)0x920265E4,
+	(q31_t)0xBE88304F, (q31_t)0x921C23EE, (q31_t)0xBE5D03E5,
+	(q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x924FD2D6,
+	(q31_t)0xBE06C977, (q31_t)0x9269C3AC, (q31_t)0xBDDBBB7F,
+	(q31_t)0x9283C567, (q31_t)0xBDB0B7BA, (q31_t)0x929DD805,
+	(q31_t)0xBD85BE2F, (q31_t)0x92B7FB82, (q31_t)0xBD5ACEE5,
+	(q31_t)0x92D22FD8, (q31_t)0xBD2FE9E1, (q31_t)0x92EC7505,
+	(q31_t)0xBD050F2C, (q31_t)0x9306CB04, (q31_t)0xBCDA3ECA,
+	(q31_t)0x932131D1, (q31_t)0xBCAF78C3, (q31_t)0x933BA968,
+	(q31_t)0xBC84BD1E, (q31_t)0x935631C5, (q31_t)0xBC5A0BE1,
+	(q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x938B74C0,
+	(q31_t)0xBC04C8BA, (q31_t)0x93A62F56, (q31_t)0xBBDA36DC,
+	(q31_t)0x93C0FAA2, (q31_t)0xBBAFAF81, (q31_t)0x93DBD69F,
+	(q31_t)0xBB8532AF, (q31_t)0x93F6C34A, (q31_t)0xBB5AC06C,
+	(q31_t)0x9411C09D, (q31_t)0xBB3058C0, (q31_t)0x942CCE95,
+	(q31_t)0xBB05FBB0, (q31_t)0x9447ED2F, (q31_t)0xBADBA943,
+	(q31_t)0x94631C64, (q31_t)0xBAB1617F, (q31_t)0x947E5C32,
+	(q31_t)0xBA87246C, (q31_t)0x9499AC95, (q31_t)0xBA5CF210,
+	(q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x94D07F05,
+	(q31_t)0xBA08AD94, (q31_t)0x94EC010B, (q31_t)0xB9DE9B83,
+	(q31_t)0x95079393, (q31_t)0xB9B49442, (q31_t)0x9523369B,
+	(q31_t)0xB98A97D8, (q31_t)0x953EEA1E, (q31_t)0xB960A64B,
+	(q31_t)0x955AAE17, (q31_t)0xB936BFA3, (q31_t)0x95768282,
+	(q31_t)0xB90CE3E6, (q31_t)0x9592675B, (q31_t)0xB8E31319,
+	(q31_t)0x95AE5C9E, (q31_t)0xB8B94D44, (q31_t)0x95CA6246,
+	(q31_t)0xB88F926C, (q31_t)0x95E6784F, (q31_t)0xB865E299,
+	(q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x961ED573,
+	(q31_t)0xB812A419, (q31_t)0x963B1C85, (q31_t)0xB7E9157A,
+	(q31_t)0x965773E7, (q31_t)0xB7BF91F8, (q31_t)0x9673DB94,
+	(q31_t)0xB796199B, (q31_t)0x96905387, (q31_t)0xB76CAC68,
+	(q31_t)0x96ACDBBD, (q31_t)0xB7434A67, (q31_t)0x96C97431,
+	(q31_t)0xB719F39D, (q31_t)0x96E61CDF, (q31_t)0xB6F0A811,
+	(q31_t)0x9702D5C2, (q31_t)0xB6C767CA, (q31_t)0x971F9ED6,
+	(q31_t)0xB69E32CD, (q31_t)0x973C7816, (q31_t)0xB6750921,
+	(q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x97765B0A,
+	(q31_t)0xB622D7D5, (q31_t)0x979364B5, (q31_t)0xB5F9D042,
+	(q31_t)0x97B07E7A, (q31_t)0xB5D0D41A, (q31_t)0x97CDA855,
+	(q31_t)0xB5A7E362, (q31_t)0x97EAE241, (q31_t)0xB57EFE21,
+	(q31_t)0x98082C3B, (q31_t)0xB556245E, (q31_t)0x9825863D,
+	(q31_t)0xB52D561E, (q31_t)0x9842F043, (q31_t)0xB5049368,
+	(q31_t)0x98606A48, (q31_t)0xB4DBDC42, (q31_t)0x987DF449,
+	(q31_t)0xB4B330B2, (q31_t)0x989B8E3F, (q31_t)0xB48A90C0,
+	(q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x98D6F1FE,
+	(q31_t)0xB43973C9, (q31_t)0x98F4BBBC, (q31_t)0xB410F6D2,
+	(q31_t)0x9912955E, (q31_t)0xB3E88591, (q31_t)0x99307EE0,
+	(q31_t)0xB3C0200C, (q31_t)0x994E783C, (q31_t)0xB397C649,
+	(q31_t)0x996C816F, (q31_t)0xB36F784E, (q31_t)0x998A9A73,
+	(q31_t)0xB3473622, (q31_t)0x99A8C344, (q31_t)0xB31EFFCB,
+	(q31_t)0x99C6FBDE, (q31_t)0xB2F6D54F, (q31_t)0x99E5443A,
+	(q31_t)0xB2CEB6B5, (q31_t)0x9A039C56, (q31_t)0xB2A6A401,
+	(q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A407BB8,
+	(q31_t)0xB256A26A, (q31_t)0x9A5F02F5, (q31_t)0xB22EB392,
+	(q31_t)0x9A7D99DD, (q31_t)0xB206D0BA, (q31_t)0x9A9C406D,
+	(q31_t)0xB1DEF9E8, (q31_t)0x9ABAF6A0, (q31_t)0xB1B72F23,
+	(q31_t)0x9AD9BC71, (q31_t)0xB18F7070, (q31_t)0x9AF891DB,
+	(q31_t)0xB167BDD6, (q31_t)0x9B1776D9, (q31_t)0xB140175B,
+	(q31_t)0x9B366B67, (q31_t)0xB1187D05, (q31_t)0x9B556F80,
+	(q31_t)0xB0F0EEDA, (q31_t)0x9B748320, (q31_t)0xB0C96CDF,
+	(q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9BB2D8DD,
+	(q31_t)0xB07A8D97, (q31_t)0x9BD21AF2, (q31_t)0xB0533055,
+	(q31_t)0x9BF16C7A, (q31_t)0xB02BDF5C, (q31_t)0x9C10CD70,
+	(q31_t)0xB0049AB2, (q31_t)0x9C303DCF, (q31_t)0xAFDD625F,
+	(q31_t)0x9C4FBD92, (q31_t)0xAFB63667, (q31_t)0x9C6F4CB5,
+	(q31_t)0xAF8F16D0, (q31_t)0x9C8EEB33, (q31_t)0xAF6803A1,
+	(q31_t)0x9CAE9907, (q31_t)0xAF40FCE0, (q31_t)0x9CCE562B,
+	(q31_t)0xAF1A0293, (q31_t)0x9CEE229C, (q31_t)0xAEF314BF,
+	(q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D2DE94D,
+	(q31_t)0xAEA55E9D, (q31_t)0x9D4DE384, (q31_t)0xAE7E965B,
+	(q31_t)0x9D6DECF4, (q31_t)0xAE57DAAA, (q31_t)0x9D8E0596,
+	(q31_t)0xAE312B91, (q31_t)0x9DAE2D68, (q31_t)0xAE0A8916,
+	(q31_t)0x9DCE6462, (q31_t)0xADE3F33E, (q31_t)0x9DEEAA82,
+	(q31_t)0xADBD6A10, (q31_t)0x9E0EFFC1, (q31_t)0xAD96ED91,
+	(q31_t)0x9E2F641A, (q31_t)0xAD707DC8, (q31_t)0x9E4FD789,
+	(q31_t)0xAD4A1ABA, (q31_t)0x9E705A09, (q31_t)0xAD23C46D,
+	(q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9EB18C26,
+	(q31_t)0xACD73E30, (q31_t)0x9ED23BB9, (q31_t)0xACB10E4A,
+	(q31_t)0x9EF2FA48, (q31_t)0xAC8AEB3E, (q31_t)0x9F13C7D0,
+	(q31_t)0xAC64D510, (q31_t)0x9F34A449, (q31_t)0xAC3ECBC7,
+	(q31_t)0x9F558FB0, (q31_t)0xAC18CF68, (q31_t)0x9F7689FF,
+	(q31_t)0xABF2DFFA, (q31_t)0x9F979331, (q31_t)0xABCCFD82,
+	(q31_t)0x9FB8AB41, (q31_t)0xABA72806, (q31_t)0x9FD9D22A,
+	(q31_t)0xAB815F8C, (q31_t)0x9FFB07E7, (q31_t)0xAB5BA41A,
+	(q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA03D9FC7,
+	(q31_t)0xAB105464, (q31_t)0xA05F01E1, (q31_t)0xAAEAC02B,
+	(q31_t)0xA08072BA, (q31_t)0xAAC53912, (q31_t)0xA0A1F24C,
+	(q31_t)0xAA9FBF1D, (q31_t)0xA0C38094, (q31_t)0xAA7A5253,
+	(q31_t)0xA0E51D8C, (q31_t)0xAA54F2B9, (q31_t)0xA106C92E,
+	(q31_t)0xAA2FA055, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D,
+	(q31_t)0xA14A4C5E, (q31_t)0xA9E52347, (q31_t)0xA16C23E1,
+	(q31_t)0xA9BFF8A8, (q31_t)0xA18E09F9, (q31_t)0xA99ADB56,
+	(q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA1D201D7,
+	(q31_t)0xA950C8AF, (q31_t)0xA1F41391, (q31_t)0xA92BD366,
+	(q31_t)0xA21633CD, (q31_t)0xA906EB81, (q31_t)0xA2386283,
+	(q31_t)0xA8E21106, (q31_t)0xA25A9FB1, (q31_t)0xA8BD43FA,
+	(q31_t)0xA27CEB4F, (q31_t)0xA8988463, (q31_t)0xA29F4559,
+	(q31_t)0xA873D246, (q31_t)0xA2C1ADC9, (q31_t)0xA84F2DA9,
+	(q31_t)0xA2E4249A, (q31_t)0xA82A9693, (q31_t)0xA306A9C7,
+	(q31_t)0xA8060D08, (q31_t)0xA3293D4B, (q31_t)0xA7E1910E,
+	(q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA36E8F40,
+	(q31_t)0xA798C1E4, (q31_t)0xA3914DA7, (q31_t)0xA7746EC0,
+	(q31_t)0xA3B41A4F, (q31_t)0xA7502943, (q31_t)0xA3D6F533,
+	(q31_t)0xA72BF173, (q31_t)0xA3F9DE4D, (q31_t)0xA707C756,
+	(q31_t)0xA41CD598, (q31_t)0xA6E3AAF2, (q31_t)0xA43FDB0F,
+	(q31_t)0xA6BF9C4B, (q31_t)0xA462EEAC, (q31_t)0xA69B9B68,
+	(q31_t)0xA4861069, (q31_t)0xA677A84E, (q31_t)0xA4A94042,
+	(q31_t)0xA653C302, (q31_t)0xA4CC7E31, (q31_t)0xA62FEB8B,
+	(q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA513243B,
+	(q31_t)0xA5E8662F, (q31_t)0xA5368C4B, (q31_t)0xA5C4B855,
+	(q31_t)0xA55A025B, (q31_t)0xA5A11865, (q31_t)0xA57D8666,
+	(q31_t)0xA57D8666, (q31_t)0xA5A11865, (q31_t)0xA55A025B,
+	(q31_t)0xA5C4B855, (q31_t)0xA5368C4B, (q31_t)0xA5E8662F,
+	(q31_t)0xA513243B, (q31_t)0xA60C21ED, (q31_t)0xA4EFCA31,
+	(q31_t)0xA62FEB8B, (q31_t)0xA4CC7E31, (q31_t)0xA653C302,
+	(q31_t)0xA4A94042, (q31_t)0xA677A84E, (q31_t)0xA4861069,
+	(q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA6BF9C4B,
+	(q31_t)0xA43FDB0F, (q31_t)0xA6E3AAF2, (q31_t)0xA41CD598,
+	(q31_t)0xA707C756, (q31_t)0xA3F9DE4D, (q31_t)0xA72BF173,
+	(q31_t)0xA3D6F533, (q31_t)0xA7502943, (q31_t)0xA3B41A4F,
+	(q31_t)0xA7746EC0, (q31_t)0xA3914DA7, (q31_t)0xA798C1E4,
+	(q31_t)0xA36E8F40, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20,
+	(q31_t)0xA7E1910E, (q31_t)0xA3293D4B, (q31_t)0xA8060D08,
+	(q31_t)0xA306A9C7, (q31_t)0xA82A9693, (q31_t)0xA2E4249A,
+	(q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA873D246,
+	(q31_t)0xA29F4559, (q31_t)0xA8988463, (q31_t)0xA27CEB4F,
+	(q31_t)0xA8BD43FA, (q31_t)0xA25A9FB1, (q31_t)0xA8E21106,
+	(q31_t)0xA2386283, (q31_t)0xA906EB81, (q31_t)0xA21633CD,
+	(q31_t)0xA92BD366, (q31_t)0xA1F41391, (q31_t)0xA950C8AF,
+	(q31_t)0xA1D201D7, (q31_t)0xA975CB56, (q31_t)0xA1AFFEA2,
+	(q31_t)0xA99ADB56, (q31_t)0xA18E09F9, (q31_t)0xA9BFF8A8,
+	(q31_t)0xA16C23E1, (q31_t)0xA9E52347, (q31_t)0xA14A4C5E,
+	(q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA2FA055,
+	(q31_t)0xA106C92E, (q31_t)0xAA54F2B9, (q31_t)0xA0E51D8C,
+	(q31_t)0xAA7A5253, (q31_t)0xA0C38094, (q31_t)0xAA9FBF1D,
+	(q31_t)0xA0A1F24C, (q31_t)0xAAC53912, (q31_t)0xA08072BA,
+	(q31_t)0xAAEAC02B, (q31_t)0xA05F01E1, (q31_t)0xAB105464,
+	(q31_t)0xA03D9FC7, (q31_t)0xAB35F5B5, (q31_t)0xA01C4C72,
+	(q31_t)0xAB5BA41A, (q31_t)0x9FFB07E7, (q31_t)0xAB815F8C,
+	(q31_t)0x9FD9D22A, (q31_t)0xABA72806, (q31_t)0x9FB8AB41,
+	(q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xABF2DFFA,
+	(q31_t)0x9F7689FF, (q31_t)0xAC18CF68, (q31_t)0x9F558FB0,
+	(q31_t)0xAC3ECBC7, (q31_t)0x9F34A449, (q31_t)0xAC64D510,
+	(q31_t)0x9F13C7D0, (q31_t)0xAC8AEB3E, (q31_t)0x9EF2FA48,
+	(q31_t)0xACB10E4A, (q31_t)0x9ED23BB9, (q31_t)0xACD73E30,
+	(q31_t)0x9EB18C26, (q31_t)0xACFD7AE8, (q31_t)0x9E90EB94,
+	(q31_t)0xAD23C46D, (q31_t)0x9E705A09, (q31_t)0xAD4A1ABA,
+	(q31_t)0x9E4FD789, (q31_t)0xAD707DC8, (q31_t)0x9E2F641A,
+	(q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xADBD6A10,
+	(q31_t)0x9DEEAA82, (q31_t)0xADE3F33E, (q31_t)0x9DCE6462,
+	(q31_t)0xAE0A8916, (q31_t)0x9DAE2D68, (q31_t)0xAE312B91,
+	(q31_t)0x9D8E0596, (q31_t)0xAE57DAAA, (q31_t)0x9D6DECF4,
+	(q31_t)0xAE7E965B, (q31_t)0x9D4DE384, (q31_t)0xAEA55E9D,
+	(q31_t)0x9D2DE94D, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53,
+	(q31_t)0xAEF314BF, (q31_t)0x9CEE229C, (q31_t)0xAF1A0293,
+	(q31_t)0x9CCE562B, (q31_t)0xAF40FCE0, (q31_t)0x9CAE9907,
+	(q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xAF8F16D0,
+	(q31_t)0x9C6F4CB5, (q31_t)0xAFB63667, (q31_t)0x9C4FBD92,
+	(q31_t)0xAFDD625F, (q31_t)0x9C303DCF, (q31_t)0xB0049AB2,
+	(q31_t)0x9C10CD70, (q31_t)0xB02BDF5C, (q31_t)0x9BF16C7A,
+	(q31_t)0xB0533055, (q31_t)0x9BD21AF2, (q31_t)0xB07A8D97,
+	(q31_t)0x9BB2D8DD, (q31_t)0xB0A1F71C, (q31_t)0x9B93A640,
+	(q31_t)0xB0C96CDF, (q31_t)0x9B748320, (q31_t)0xB0F0EEDA,
+	(q31_t)0x9B556F80, (q31_t)0xB1187D05, (q31_t)0x9B366B67,
+	(q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB167BDD6,
+	(q31_t)0x9AF891DB, (q31_t)0xB18F7070, (q31_t)0x9AD9BC71,
+	(q31_t)0xB1B72F23, (q31_t)0x9ABAF6A0, (q31_t)0xB1DEF9E8,
+	(q31_t)0x9A9C406D, (q31_t)0xB206D0BA, (q31_t)0x9A7D99DD,
+	(q31_t)0xB22EB392, (q31_t)0x9A5F02F5, (q31_t)0xB256A26A,
+	(q31_t)0x9A407BB8, (q31_t)0xB27E9D3B, (q31_t)0x9A22042C,
+	(q31_t)0xB2A6A401, (q31_t)0x9A039C56, (q31_t)0xB2CEB6B5,
+	(q31_t)0x99E5443A, (q31_t)0xB2F6D54F, (q31_t)0x99C6FBDE,
+	(q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB3473622,
+	(q31_t)0x998A9A73, (q31_t)0xB36F784E, (q31_t)0x996C816F,
+	(q31_t)0xB397C649, (q31_t)0x994E783C, (q31_t)0xB3C0200C,
+	(q31_t)0x99307EE0, (q31_t)0xB3E88591, (q31_t)0x9912955E,
+	(q31_t)0xB410F6D2, (q31_t)0x98F4BBBC, (q31_t)0xB43973C9,
+	(q31_t)0x98D6F1FE, (q31_t)0xB461FC70, (q31_t)0x98B93828,
+	(q31_t)0xB48A90C0, (q31_t)0x989B8E3F, (q31_t)0xB4B330B2,
+	(q31_t)0x987DF449, (q31_t)0xB4DBDC42, (q31_t)0x98606A48,
+	(q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB52D561E,
+	(q31_t)0x9825863D, (q31_t)0xB556245E, (q31_t)0x98082C3B,
+	(q31_t)0xB57EFE21, (q31_t)0x97EAE241, (q31_t)0xB5A7E362,
+	(q31_t)0x97CDA855, (q31_t)0xB5D0D41A, (q31_t)0x97B07E7A,
+	(q31_t)0xB5F9D042, (q31_t)0x979364B5, (q31_t)0xB622D7D5,
+	(q31_t)0x97765B0A, (q31_t)0xB64BEACC, (q31_t)0x9759617E,
+	(q31_t)0xB6750921, (q31_t)0x973C7816, (q31_t)0xB69E32CD,
+	(q31_t)0x971F9ED6, (q31_t)0xB6C767CA, (q31_t)0x9702D5C2,
+	(q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB719F39D,
+	(q31_t)0x96C97431, (q31_t)0xB7434A67, (q31_t)0x96ACDBBD,
+	(q31_t)0xB76CAC68, (q31_t)0x96905387, (q31_t)0xB796199B,
+	(q31_t)0x9673DB94, (q31_t)0xB7BF91F8, (q31_t)0x965773E7,
+	(q31_t)0xB7E9157A, (q31_t)0x963B1C85, (q31_t)0xB812A419,
+	(q31_t)0x961ED573, (q31_t)0xB83C3DD1, (q31_t)0x96029EB5,
+	(q31_t)0xB865E299, (q31_t)0x95E6784F, (q31_t)0xB88F926C,
+	(q31_t)0x95CA6246, (q31_t)0xB8B94D44, (q31_t)0x95AE5C9E,
+	(q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB90CE3E6,
+	(q31_t)0x95768282, (q31_t)0xB936BFA3, (q31_t)0x955AAE17,
+	(q31_t)0xB960A64B, (q31_t)0x953EEA1E, (q31_t)0xB98A97D8,
+	(q31_t)0x9523369B, (q31_t)0xB9B49442, (q31_t)0x95079393,
+	(q31_t)0xB9DE9B83, (q31_t)0x94EC010B, (q31_t)0xBA08AD94,
+	(q31_t)0x94D07F05, (q31_t)0xBA32CA70, (q31_t)0x94B50D87,
+	(q31_t)0xBA5CF210, (q31_t)0x9499AC95, (q31_t)0xBA87246C,
+	(q31_t)0x947E5C32, (q31_t)0xBAB1617F, (q31_t)0x94631C64,
+	(q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB05FBB0,
+	(q31_t)0x942CCE95, (q31_t)0xBB3058C0, (q31_t)0x9411C09D,
+	(q31_t)0xBB5AC06C, (q31_t)0x93F6C34A, (q31_t)0xBB8532AF,
+	(q31_t)0x93DBD69F, (q31_t)0xBBAFAF81, (q31_t)0x93C0FAA2,
+	(q31_t)0xBBDA36DC, (q31_t)0x93A62F56, (q31_t)0xBC04C8BA,
+	(q31_t)0x938B74C0, (q31_t)0xBC2F6513, (q31_t)0x9370CAE4,
+	(q31_t)0xBC5A0BE1, (q31_t)0x935631C5, (q31_t)0xBC84BD1E,
+	(q31_t)0x933BA968, (q31_t)0xBCAF78C3, (q31_t)0x932131D1,
+	(q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD050F2C,
+	(q31_t)0x92EC7505, (q31_t)0xBD2FE9E1, (q31_t)0x92D22FD8,
+	(q31_t)0xBD5ACEE5, (q31_t)0x92B7FB82, (q31_t)0xBD85BE2F,
+	(q31_t)0x929DD805, (q31_t)0xBDB0B7BA, (q31_t)0x9283C567,
+	(q31_t)0xBDDBBB7F, (q31_t)0x9269C3AC, (q31_t)0xBE06C977,
+	(q31_t)0x924FD2D6, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB,
+	(q31_t)0xBE5D03E5, (q31_t)0x921C23EE, (q31_t)0xBE88304F,
+	(q31_t)0x920265E4, (q31_t)0xBEB366D1, (q31_t)0x91E8B8D0,
+	(q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF09F204,
+	(q31_t)0x91B5919A, (q31_t)0xBF3546A8, (q31_t)0x919C1780,
+	(q31_t)0xBF60A54A, (q31_t)0x9182AE6C, (q31_t)0xBF8C0DE2,
+	(q31_t)0x91695663, (q31_t)0xBFB7806C, (q31_t)0x91500F67,
+	(q31_t)0xBFE2FCDF, (q31_t)0x9136D97D, (q31_t)0xC00E8335,
+	(q31_t)0x911DB4A8, (q31_t)0xC03A1368, (q31_t)0x9104A0ED,
+	(q31_t)0xC065AD70, (q31_t)0x90EB9E50, (q31_t)0xC0915147,
+	(q31_t)0x90D2ACD3, (q31_t)0xC0BCFEE7, (q31_t)0x90B9CC7C,
+	(q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC1147763,
+	(q31_t)0x90883F4C, (q31_t)0xC1404233, (q31_t)0x906F927B,
+	(q31_t)0xC16C16B0, (q31_t)0x9056F6DF, (q31_t)0xC197F4D3,
+	(q31_t)0x903E6C7A, (q31_t)0xC1C3DC96, (q31_t)0x9025F352,
+	(q31_t)0xC1EFCDF2, (q31_t)0x900D8B69, (q31_t)0xC21BC8E0,
+	(q31_t)0x8FF534C4, (q31_t)0xC247CD5A, (q31_t)0x8FDCEF66,
+	(q31_t)0xC273DB58, (q31_t)0x8FC4BB53, (q31_t)0xC29FF2D4,
+	(q31_t)0x8FAC988E, (q31_t)0xC2CC13C7, (q31_t)0x8F94871D,
+	(q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC32471F6,
+	(q31_t)0x8F64983F, (q31_t)0xC350AF25, (q31_t)0x8F4CBADB,
+	(q31_t)0xC37CF5B0, (q31_t)0x8F34EED8, (q31_t)0xC3A9458F,
+	(q31_t)0x8F1D343A, (q31_t)0xC3D59EBD, (q31_t)0x8F058B04,
+	(q31_t)0xC4020132, (q31_t)0x8EEDF33B, (q31_t)0xC42E6CE8,
+	(q31_t)0x8ED66CE1, (q31_t)0xC45AE1D7, (q31_t)0x8EBEF7FB,
+	(q31_t)0xC4875FF8, (q31_t)0x8EA7948C, (q31_t)0xC4B3E746,
+	(q31_t)0x8E904298, (q31_t)0xC4E077B8, (q31_t)0x8E790222,
+	(q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC539B3F0,
+	(q31_t)0x8E4AB5BF, (q31_t)0xC5665FA8, (q31_t)0x8E33A9D9,
+	(q31_t)0xC593146A, (q31_t)0x8E1CAF80, (q31_t)0xC5BFD22E,
+	(q31_t)0x8E05C6B7, (q31_t)0xC5EC98ED, (q31_t)0x8DEEEF82,
+	(q31_t)0xC61968A2, (q31_t)0x8DD829E4, (q31_t)0xC6464144,
+	(q31_t)0x8DC175E0, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B,
+	(q31_t)0xC6A00D36, (q31_t)0x8D9442B7, (q31_t)0xC6CD0079,
+	(q31_t)0x8D7DC399, (q31_t)0xC6F9FC8D, (q31_t)0x8D675623,
+	(q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7540F10,
+	(q31_t)0x8D3AB03F, (q31_t)0xC7812571, (q31_t)0x8D2477D8,
+	(q31_t)0xC7AE4489, (q31_t)0x8D0E5127, (q31_t)0xC7DB6C50,
+	(q31_t)0x8CF83C30, (q31_t)0xC8089CBF, (q31_t)0x8CE238F6,
+	(q31_t)0xC835D5D0, (q31_t)0x8CCC477D, (q31_t)0xC863177B,
+	(q31_t)0x8CB667C7, (q31_t)0xC89061BA, (q31_t)0x8CA099D9,
+	(q31_t)0xC8BDB485, (q31_t)0x8C8ADDB6, (q31_t)0xC8EB0FD6,
+	(q31_t)0x8C753361, (q31_t)0xC91873A5, (q31_t)0x8C5F9ADD,
+	(q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC97354A3,
+	(q31_t)0x8C349F58, (q31_t)0xC9A0D1C4, (q31_t)0x8C1F3C5C,
+	(q31_t)0xC9CE5748, (q31_t)0x8C09EB40, (q31_t)0xC9FBE527,
+	(q31_t)0x8BF4AC05, (q31_t)0xCA297B5A, (q31_t)0x8BDF7EAF,
+	(q31_t)0xCA5719DB, (q31_t)0x8BCA6342, (q31_t)0xCA84C0A2,
+	(q31_t)0x8BB559C1, (q31_t)0xCAB26FA9, (q31_t)0x8BA0622F,
+	(q31_t)0xCAE026E8, (q31_t)0x8B8B7C8F, (q31_t)0xCB0DE658,
+	(q31_t)0x8B76A8E4, (q31_t)0xCB3BADF2, (q31_t)0x8B61E732,
+	(q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCB975589,
+	(q31_t)0x8B3899C5, (q31_t)0xCBC53578, (q31_t)0x8B240E10,
+	(q31_t)0xCBF31D75, (q31_t)0x8B0F9461, (q31_t)0xCC210D78,
+	(q31_t)0x8AFB2CBA, (q31_t)0xCC4F057B, (q31_t)0x8AE6D71F,
+	(q31_t)0xCC7D0577, (q31_t)0x8AD29393, (q31_t)0xCCAB0D65,
+	(q31_t)0x8ABE6219, (q31_t)0xCCD91D3D, (q31_t)0x8AAA42B4,
+	(q31_t)0xCD0734F8, (q31_t)0x8A963567, (q31_t)0xCD355490,
+	(q31_t)0x8A823A35, (q31_t)0xCD637BFD, (q31_t)0x8A6E5122,
+	(q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCDBFE23A,
+	(q31_t)0x8A46B563, (q31_t)0xCDEE20FC, (q31_t)0x8A3302BD,
+	(q31_t)0xCE1C6776, (q31_t)0x8A1F6242, (q31_t)0xCE4AB5A2,
+	(q31_t)0x8A0BD3F5, (q31_t)0xCE790B78, (q31_t)0x89F857D8,
+	(q31_t)0xCEA768F2, (q31_t)0x89E4EDEE, (q31_t)0xCED5CE08,
+	(q31_t)0x89D1963C, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3,
+	(q31_t)0xCF32AEEB, (q31_t)0x89AB1D86, (q31_t)0xCF612AAA,
+	(q31_t)0x8997FC89, (q31_t)0xCF8FADE8, (q31_t)0x8984EDCF,
+	(q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xCFECCAC7,
+	(q31_t)0x895F072D, (q31_t)0xD01B6459, (q31_t)0x894C2F4C,
+	(q31_t)0xD04A054D, (q31_t)0x893969B9, (q31_t)0xD078AD9D,
+	(q31_t)0x8926B677, (q31_t)0xD0A75D42, (q31_t)0x89141589,
+	(q31_t)0xD0D61433, (q31_t)0x890186F1, (q31_t)0xD104D26B,
+	(q31_t)0x88EF0AB4, (q31_t)0xD13397E1, (q31_t)0x88DCA0D3,
+	(q31_t)0xD162648F, (q31_t)0x88CA4951, (q31_t)0xD191386D,
+	(q31_t)0x88B80431, (q31_t)0xD1C01374, (q31_t)0x88A5D177,
+	(q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD21DDEE1,
+	(q31_t)0x8881A33C, (q31_t)0xD24CCF38, (q31_t)0x886FA7C2,
+	(q31_t)0xD27BC69C, (q31_t)0x885DBEB7, (q31_t)0xD2AAC504,
+	(q31_t)0x884BE820, (q31_t)0xD2D9CA6A, (q31_t)0x883A23FE,
+	(q31_t)0xD308D6C6, (q31_t)0x88287255, (q31_t)0xD337EA12,
+	(q31_t)0x8816D327, (q31_t)0xD3670445, (q31_t)0x88054677,
+	(q31_t)0xD3962559, (q31_t)0x87F3CC47, (q31_t)0xD3C54D46,
+	(q31_t)0x87E2649B, (q31_t)0xD3F47C06, (q31_t)0x87D10F75,
+	(q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD452EDDE,
+	(q31_t)0x87AE9CC5, (q31_t)0xD48230E8, (q31_t)0x879D7F40,
+	(q31_t)0xD4B17AA7, (q31_t)0x878C744C, (q31_t)0xD4E0CB14,
+	(q31_t)0x877B7BEC, (q31_t)0xD5102227, (q31_t)0x876A9621,
+	(q31_t)0xD53F7FDA, (q31_t)0x8759C2EF, (q31_t)0xD56EE424,
+	(q31_t)0x87490257, (q31_t)0xD59E4EFE, (q31_t)0x8738545E,
+	(q31_t)0xD5CDC062, (q31_t)0x8727B904, (q31_t)0xD5FD3847,
+	(q31_t)0x8717304E, (q31_t)0xD62CB6A7, (q31_t)0x8706BA3C,
+	(q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD68BC6BA,
+	(q31_t)0x86E60614, (q31_t)0xD6BB585D, (q31_t)0x86D5C802,
+	(q31_t)0xD6EAF05E, (q31_t)0x86C59C9F, (q31_t)0xD71A8EB5,
+	(q31_t)0x86B583EE, (q31_t)0xD74A335A, (q31_t)0x86A57DF1,
+	(q31_t)0xD779DE46, (q31_t)0x86958AAB, (q31_t)0xD7A98F73,
+	(q31_t)0x8685AA1F, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E,
+	(q31_t)0xD809046D, (q31_t)0x8666213C, (q31_t)0xD838C82D,
+	(q31_t)0x865678EA, (q31_t)0xD868920F, (q31_t)0x8646E35B,
+	(q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD8C8381C,
+	(q31_t)0x8627F090, (q31_t)0xD8F81439, (q31_t)0x86189359,
+	(q31_t)0xD927F65B, (q31_t)0x860948EE, (q31_t)0xD957DE7A,
+	(q31_t)0x85FA1152, (q31_t)0xD987CC8F, (q31_t)0x85EAEC88,
+	(q31_t)0xD9B7C093, (q31_t)0x85DBDA91, (q31_t)0xD9E7BA7E,
+	(q31_t)0x85CCDB70, (q31_t)0xDA17BA4A, (q31_t)0x85BDEF27,
+	(q31_t)0xDA47BFED, (q31_t)0x85AF15B9, (q31_t)0xDA77CB62,
+	(q31_t)0x85A04F28, (q31_t)0xDAA7DCA1, (q31_t)0x85919B75,
+	(q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB08105E,
+	(q31_t)0x85746CB7, (q31_t)0xDB3832CD, (q31_t)0x8565F1B0,
+	(q31_t)0xDB685AE8, (q31_t)0x85578991, (q31_t)0xDB9888A8,
+	(q31_t)0x8549345C, (q31_t)0xDBC8BC05, (q31_t)0x853AF214,
+	(q31_t)0xDBF8F4F8, (q31_t)0x852CC2BA, (q31_t)0xDC293379,
+	(q31_t)0x851EA652, (q31_t)0xDC597781, (q31_t)0x85109CDC,
+	(q31_t)0xDC89C108, (q31_t)0x8502A65C, (q31_t)0xDCBA1008,
+	(q31_t)0x84F4C2D3, (q31_t)0xDCEA6478, (q31_t)0x84E6F244,
+	(q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDD4B1D8B,
+	(q31_t)0x84CB8A1B, (q31_t)0xDD7B8220, (q31_t)0x84BDF285,
+	(q31_t)0xDDABEC07, (q31_t)0x84B06DF1, (q31_t)0xDDDC5B3A,
+	(q31_t)0x84A2FC62, (q31_t)0xDE0CCFB1, (q31_t)0x84959DD9,
+	(q31_t)0xDE3D4963, (q31_t)0x84885257, (q31_t)0xDE6DC84B,
+	(q31_t)0x847B19E1, (q31_t)0xDE9E4C60, (q31_t)0x846DF476,
+	(q31_t)0xDECED59B, (q31_t)0x8460E21A, (q31_t)0xDEFF63F4,
+	(q31_t)0x8453E2CE, (q31_t)0xDF2FF764, (q31_t)0x8446F695,
+	(q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xDF912D6A,
+	(q31_t)0x842D5761, (q31_t)0xDFC1CFF2, (q31_t)0x8420A46B,
+	(q31_t)0xDFF27773, (q31_t)0x8414048F, (q31_t)0xE02323E5,
+	(q31_t)0x840777CF, (q31_t)0xE053D541, (q31_t)0x83FAFE2E,
+	(q31_t)0xE0848B7F, (q31_t)0x83EE97AC, (q31_t)0xE0B54698,
+	(q31_t)0x83E2444D, (q31_t)0xE0E60684, (q31_t)0x83D60411,
+	(q31_t)0xE116CB3D, (q31_t)0x83C9D6FB, (q31_t)0xE14794B9,
+	(q31_t)0x83BDBD0D, (q31_t)0xE17862F3, (q31_t)0x83B1B649,
+	(q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE1DA0D7E,
+	(q31_t)0x8399E244, (q31_t)0xE20AE9C1, (q31_t)0x838E1507,
+	(q31_t)0xE23BCAA2, (q31_t)0x83825AFB, (q31_t)0xE26CB01A,
+	(q31_t)0x8376B422, (q31_t)0xE29D9A22, (q31_t)0x836B207D,
+	(q31_t)0xE2CE88B2, (q31_t)0x835FA00E, (q31_t)0xE2FF7BC3,
+	(q31_t)0x835432D8, (q31_t)0xE330734C, (q31_t)0x8348D8DB,
+	(q31_t)0xE3616F47, (q31_t)0x833D921A, (q31_t)0xE3926FAC,
+	(q31_t)0x83325E97, (q31_t)0xE3C37473, (q31_t)0x83273E52,
+	(q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4258B0A,
+	(q31_t)0x8311378C, (q31_t)0xE4569CCB, (q31_t)0x8306510F,
+	(q31_t)0xE487B2CF, (q31_t)0x82FB7DD8, (q31_t)0xE4B8CD10,
+	(q31_t)0x82F0BDE8, (q31_t)0xE4E9EB86, (q31_t)0x82E61141,
+	(q31_t)0xE51B0E2A, (q31_t)0x82DB77E5, (q31_t)0xE54C34F3,
+	(q31_t)0x82D0F1D5, (q31_t)0xE57D5FDA, (q31_t)0x82C67F13,
+	(q31_t)0xE5AE8ED8, (q31_t)0x82BC1FA1, (q31_t)0xE5DFC1E4,
+	(q31_t)0x82B1D381, (q31_t)0xE610F8F9, (q31_t)0x82A79AB3,
+	(q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE6737319,
+	(q31_t)0x82936316, (q31_t)0xE6A4B616, (q31_t)0x8289644A,
+	(q31_t)0xE6D5FCFC, (q31_t)0x827F78D8, (q31_t)0xE70747C3,
+	(q31_t)0x8275A0C0, (q31_t)0xE7389664, (q31_t)0x826BDC04,
+	(q31_t)0xE769E8D8, (q31_t)0x82622AA5, (q31_t)0xE79B3F16,
+	(q31_t)0x82588CA6, (q31_t)0xE7CC9917, (q31_t)0x824F0208,
+	(q31_t)0xE7FDF6D3, (q31_t)0x82458ACB, (q31_t)0xE82F5844,
+	(q31_t)0x823C26F2, (q31_t)0xE860BD60, (q31_t)0x8232D67E,
+	(q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE8C3927F,
+	(q31_t)0x82206FCB, (q31_t)0xE8F50273, (q31_t)0x8217598F,
+	(q31_t)0xE92675F4, (q31_t)0x820E56BE, (q31_t)0xE957ECFB,
+	(q31_t)0x82056758, (q31_t)0xE9896780, (q31_t)0x81FC8B60,
+	(q31_t)0xE9BAE57C, (q31_t)0x81F3C2D7, (q31_t)0xE9EC66E8,
+	(q31_t)0x81EB0DBD, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16,
+	(q31_t)0xEA4F73EE, (q31_t)0x81D9DDE1, (q31_t)0xEA80FF79,
+	(q31_t)0x81D16320, (q31_t)0xEAB28E55, (q31_t)0x81C8FBD5,
+	(q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB15B5E0,
+	(q31_t)0x81B867A4, (q31_t)0xEB474E80, (q31_t)0x81B03AC1,
+	(q31_t)0xEB78EA52, (q31_t)0x81A82159, (q31_t)0xEBAA894E,
+	(q31_t)0x81A01B6C, (q31_t)0xEBDC2B6D, (q31_t)0x819828FD,
+	(q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC3F78F5,
+	(q31_t)0x81887E9A, (q31_t)0xEC71244F, (q31_t)0x8180C6A9,
+	(q31_t)0xECA2D2AC, (q31_t)0x8179223A, (q31_t)0xECD48406,
+	(q31_t)0x8171914E, (q31_t)0xED063855, (q31_t)0x816A13E6,
+	(q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED69A9B2,
+	(q31_t)0x815B53A8, (q31_t)0xED9B66B2, (q31_t)0x815410D3,
+	(q31_t)0xEDCD2687, (q31_t)0x814CE188, (q31_t)0xEDFEE92B,
+	(q31_t)0x8145C5C6, (q31_t)0xEE30AE95, (q31_t)0x813EBD90,
+	(q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEE9441A0,
+	(q31_t)0x8130E7C8, (q31_t)0xEEC60F31, (q31_t)0x812A1A39,
+	(q31_t)0xEEF7DF6A, (q31_t)0x81236039, (q31_t)0xEF29B243,
+	(q31_t)0x811CB9CA, (q31_t)0xEF5B87B5, (q31_t)0x811626EC,
+	(q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFBF3A44,
+	(q31_t)0x81093BE8, (q31_t)0xEFF11752, (q31_t)0x8102E3C3,
+	(q31_t)0xF022F6DA, (q31_t)0x80FC9F35, (q31_t)0xF054D8D4,
+	(q31_t)0x80F66E3C, (q31_t)0xF086BD39, (q31_t)0x80F050DB,
+	(q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF0EA8D23,
+	(q31_t)0x80E450E2, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C,
+	(q31_t)0xF14E665C, (q31_t)0x80D89F51, (q31_t)0xF1805662,
+	(q31_t)0x80D2E3F1, (q31_t)0xF1B248A5, (q31_t)0x80CD3C2F,
+	(q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF21633C0,
+	(q31_t)0x80C22783, (q31_t)0xF2482C89, (q31_t)0x80BCBA9C,
+	(q31_t)0xF27A2770, (q31_t)0x80B76155, (q31_t)0xF2AC246D,
+	(q31_t)0x80B21BAF, (q31_t)0xF2DE2378, (q31_t)0x80ACE9AB,
+	(q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF342279A,
+	(q31_t)0x80A2C08B, (q31_t)0xF3742CA1, (q31_t)0x809DC970,
+	(q31_t)0xF3A63398, (q31_t)0x8098E5FB, (q31_t)0xF3D83C76,
+	(q31_t)0x8094162B, (q31_t)0xF40A4734, (q31_t)0x808F5A02,
+	(q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF46E6231,
+	(q31_t)0x80861CA5, (q31_t)0xF4A07260, (q31_t)0x80819B74,
+	(q31_t)0xF4D28451, (q31_t)0x807D2DEB, (q31_t)0xF50497FA,
+	(q31_t)0x8078D40D, (q31_t)0xF536AD55, (q31_t)0x80748DD9,
+	(q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF59ADD01,
+	(q31_t)0x806C3C73, (q31_t)0xF5CCF743, (q31_t)0x80683143,
+	(q31_t)0xF5FF1317, (q31_t)0x806439C0, (q31_t)0xF6313076,
+	(q31_t)0x806055EA, (q31_t)0xF6634F58, (q31_t)0x805C85C3,
+	(q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6C79188,
+	(q31_t)0x80552083, (q31_t)0xF6F9B4C5, (q31_t)0x80518B6B,
+	(q31_t)0xF72BD967, (q31_t)0x804E0A03, (q31_t)0xF75DFF65,
+	(q31_t)0x804A9C4D, (q31_t)0xF79026B8, (q31_t)0x80474248,
+	(q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF7F4793E,
+	(q31_t)0x8040C956, (q31_t)0xF826A461, (q31_t)0x803DAA69,
+	(q31_t)0xF858D0BA, (q31_t)0x803A9F31, (q31_t)0xF88AFE41,
+	(q31_t)0x8037A7AC, (q31_t)0xF8BD2CEF, (q31_t)0x8034C3DC,
+	(q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9218D9E,
+	(q31_t)0x802F375C, (q31_t)0xF953BF90, (q31_t)0x802C8EAD,
+	(q31_t)0xF985F28A, (q31_t)0x8029F9B4, (q31_t)0xF9B82683,
+	(q31_t)0x80277872, (q31_t)0xF9EA5B75, (q31_t)0x80250AE7,
+	(q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA4EC820,
+	(q31_t)0x80206AF8, (q31_t)0xFA80FFCB, (q31_t)0x801E3894,
+	(q31_t)0xFAB3384F, (q31_t)0x801C19E9, (q31_t)0xFAE571A4,
+	(q31_t)0x801A0EF7, (q31_t)0xFB17ABC2, (q31_t)0x801817BF,
+	(q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFB7C223C,
+	(q31_t)0x8014647A, (q31_t)0xFBAE5E89, (q31_t)0x8012A86F,
+	(q31_t)0xFBE09B80, (q31_t)0x8011001E, (q31_t)0xFC12D919,
+	(q31_t)0x800F6B88, (q31_t)0xFC45174E, (q31_t)0x800DEAAC,
+	(q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCA99569,
+	(q31_t)0x800B2427, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D,
+	(q31_t)0xFD0E1594, (q31_t)0x8008AC90, (q31_t)0xFD40565B,
+	(q31_t)0x80078E5E, (q31_t)0xFD72978F, (q31_t)0x800683E8,
+	(q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFDD71B1E,
+	(q31_t)0x8004AA31, (q31_t)0xFE095D69, (q31_t)0x8003DAF0,
+	(q31_t)0xFE3BA001, (q31_t)0x80031F6C, (q31_t)0xFE6DE2E0,
+	(q31_t)0x800277A5, (q31_t)0xFEA025FC, (q31_t)0x8001E39B,
+	(q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF04ACD0,
+	(q31_t)0x8000F6BD, (q31_t)0xFF36F078, (q31_t)0x80009DE9,
+	(q31_t)0xFF69343E, (q31_t)0x800058D3, (q31_t)0xFF9B781D,
+	(q31_t)0x8000277A, (q31_t)0xFFCDBC0A, (q31_t)0x800009DE
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+/**
+  @brief  q15 Twiddle factors Table
+*/
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_16)
+
+/**
+  @par
+  Example code for q15 Twiddle factors Generation::
+  @par
+  <pre>fori = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 16, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to q15(Fixed point 1.15):
+ 	round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_16_q15[24] = {
+    (q15_t)0x7FFF, (q15_t)0x0000,
+    (q15_t)0x7641, (q15_t)0x30FB,
+    (q15_t)0x5A82, (q15_t)0x5A82,
+    (q15_t)0x30FB, (q15_t)0x7641,
+    (q15_t)0x0000, (q15_t)0x7FFF,
+    (q15_t)0xCF04, (q15_t)0x7641,
+    (q15_t)0xA57D, (q15_t)0x5A82,
+    (q15_t)0x89BE, (q15_t)0x30FB,
+    (q15_t)0x8000, (q15_t)0x0000,
+    (q15_t)0x89BE, (q15_t)0xCF04,
+    (q15_t)0xA57D, (q15_t)0xA57D,
+    (q15_t)0xCF04, (q15_t)0x89BE
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_32)
+/**
+  @par
+  Example code for q15 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 32, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to q15(Fixed point 1.15):
+ 	round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_32_q15[48] = {
+    (q15_t)0x7FFF, (q15_t)0x0000,
+    (q15_t)0x7D8A, (q15_t)0x18F8,
+    (q15_t)0x7641, (q15_t)0x30FB,
+    (q15_t)0x6A6D, (q15_t)0x471C,
+    (q15_t)0x5A82, (q15_t)0x5A82,
+    (q15_t)0x471C, (q15_t)0x6A6D,
+    (q15_t)0x30FB, (q15_t)0x7641,
+    (q15_t)0x18F8, (q15_t)0x7D8A,
+    (q15_t)0x0000, (q15_t)0x7FFF,
+    (q15_t)0xE707, (q15_t)0x7D8A,
+    (q15_t)0xCF04, (q15_t)0x7641,
+    (q15_t)0xB8E3, (q15_t)0x6A6D,
+    (q15_t)0xA57D, (q15_t)0x5A82,
+    (q15_t)0x9592, (q15_t)0x471C,
+    (q15_t)0x89BE, (q15_t)0x30FB,
+    (q15_t)0x8275, (q15_t)0x18F8,
+    (q15_t)0x8000, (q15_t)0x0000,
+    (q15_t)0x8275, (q15_t)0xE707,
+    (q15_t)0x89BE, (q15_t)0xCF04,
+    (q15_t)0x9592, (q15_t)0xB8E3,
+    (q15_t)0xA57D, (q15_t)0xA57D,
+    (q15_t)0xB8E3, (q15_t)0x9592,
+    (q15_t)0xCF04, (q15_t)0x89BE,
+    (q15_t)0xE707, (q15_t)0x8275
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_64)
+/**
+  @par
+  Example code for q15 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 64, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to q15(Fixed point 1.15):
+ 	round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_64_q15[96] = {
+	(q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7F62, (q15_t)0x0C8B,
+	(q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7A7D, (q15_t)0x2528,
+	(q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x70E2, (q15_t)0x3C56,
+	(q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x62F2, (q15_t)0x5133,
+	(q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5133, (q15_t)0x62F2,
+	(q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x3C56, (q15_t)0x70E2,
+	(q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2528, (q15_t)0x7A7D,
+	(q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x0C8B, (q15_t)0x7F62,
+	(q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF374, (q15_t)0x7F62,
+	(q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xDAD7, (q15_t)0x7A7D,
+	(q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC3A9, (q15_t)0x70E2,
+	(q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xAECC, (q15_t)0x62F2,
+	(q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0x9D0D, (q15_t)0x5133,
+	(q15_t)0x9592, (q15_t)0x471C, (q15_t)0x8F1D, (q15_t)0x3C56,
+	(q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8582, (q15_t)0x2528,
+	(q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x809D, (q15_t)0x0C8B,
+	(q15_t)0x8000, (q15_t)0x0000, (q15_t)0x809D, (q15_t)0xF374,
+	(q15_t)0x8275, (q15_t)0xE707, (q15_t)0x8582, (q15_t)0xDAD7,
+	(q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8F1D, (q15_t)0xC3A9,
+	(q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9D0D, (q15_t)0xAECC,
+	(q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAECC, (q15_t)0x9D0D,
+	(q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xC3A9, (q15_t)0x8F1D,
+	(q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xDAD7, (q15_t)0x8582,
+	(q15_t)0xE707, (q15_t)0x8275, (q15_t)0xF374, (q15_t)0x809D
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_128)
+/**
+  @par
+  Example code for q15 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 128, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to q15(Fixed point 1.15):
+ 	round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_128_q15[192] = {
+	(q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FD8, (q15_t)0x0647,
+	(q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7E9D, (q15_t)0x12C8,
+	(q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7C29, (q15_t)0x1F19,
+	(q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7884, (q15_t)0x2B1F,
+	(q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x73B5, (q15_t)0x36BA,
+	(q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6DCA, (q15_t)0x41CE,
+	(q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x66CF, (q15_t)0x4C3F,
+	(q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x5ED7, (q15_t)0x55F5,
+	(q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x55F5, (q15_t)0x5ED7,
+	(q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4C3F, (q15_t)0x66CF,
+	(q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x41CE, (q15_t)0x6DCA,
+	(q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x36BA, (q15_t)0x73B5,
+	(q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2B1F, (q15_t)0x7884,
+	(q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x1F19, (q15_t)0x7C29,
+	(q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x12C8, (q15_t)0x7E9D,
+	(q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0647, (q15_t)0x7FD8,
+	(q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF9B8, (q15_t)0x7FD8,
+	(q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xED37, (q15_t)0x7E9D,
+	(q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE0E6, (q15_t)0x7C29,
+	(q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD4E0, (q15_t)0x7884,
+	(q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC945, (q15_t)0x73B5,
+	(q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xBE31, (q15_t)0x6DCA,
+	(q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB3C0, (q15_t)0x66CF,
+	(q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAA0A, (q15_t)0x5ED7,
+	(q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA128, (q15_t)0x55F5,
+	(q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9930, (q15_t)0x4C3F,
+	(q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9235, (q15_t)0x41CE,
+	(q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8C4A, (q15_t)0x36BA,
+	(q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x877B, (q15_t)0x2B1F,
+	(q15_t)0x8582, (q15_t)0x2528, (q15_t)0x83D6, (q15_t)0x1F19,
+	(q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8162, (q15_t)0x12C8,
+	(q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8027, (q15_t)0x0647,
+	(q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8027, (q15_t)0xF9B8,
+	(q15_t)0x809D, (q15_t)0xF374, (q15_t)0x8162, (q15_t)0xED37,
+	(q15_t)0x8275, (q15_t)0xE707, (q15_t)0x83D6, (q15_t)0xE0E6,
+	(q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x877B, (q15_t)0xD4E0,
+	(q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8C4A, (q15_t)0xC945,
+	(q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x9235, (q15_t)0xBE31,
+	(q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9930, (q15_t)0xB3C0,
+	(q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0xA128, (q15_t)0xAA0A,
+	(q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAA0A, (q15_t)0xA128,
+	(q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB3C0, (q15_t)0x9930,
+	(q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBE31, (q15_t)0x9235,
+	(q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC945, (q15_t)0x8C4A,
+	(q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD4E0, (q15_t)0x877B,
+	(q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xE0E6, (q15_t)0x83D6,
+	(q15_t)0xE707, (q15_t)0x8275, (q15_t)0xED37, (q15_t)0x8162,
+	(q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF9B8, (q15_t)0x8027
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_256)
+/**
+  @par
+  Example code for q15 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 256, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to q15(Fixed point 1.15):
+ 	round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_256_q15[384] = {
+	(q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FF6, (q15_t)0x0324,
+	(q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FA7, (q15_t)0x096A,
+	(q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F09, (q15_t)0x0FAB,
+	(q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E1D, (q15_t)0x15E2,
+	(q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7CE3, (q15_t)0x1C0B,
+	(q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7B5D, (q15_t)0x2223,
+	(q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x798A, (q15_t)0x2826,
+	(q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x776C, (q15_t)0x2E11,
+	(q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x7504, (q15_t)0x33DE,
+	(q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7255, (q15_t)0x398C,
+	(q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6F5F, (q15_t)0x3F17,
+	(q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6C24, (q15_t)0x447A,
+	(q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x68A6, (q15_t)0x49B4,
+	(q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x64E8, (q15_t)0x4EBF,
+	(q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x60EC, (q15_t)0x539B,
+	(q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5CB4, (q15_t)0x5842,
+	(q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5842, (q15_t)0x5CB4,
+	(q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x539B, (q15_t)0x60EC,
+	(q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4EBF, (q15_t)0x64E8,
+	(q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x49B4, (q15_t)0x68A6,
+	(q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x447A, (q15_t)0x6C24,
+	(q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x3F17, (q15_t)0x6F5F,
+	(q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x398C, (q15_t)0x7255,
+	(q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x33DE, (q15_t)0x7504,
+	(q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2E11, (q15_t)0x776C,
+	(q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2826, (q15_t)0x798A,
+	(q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x2223, (q15_t)0x7B5D,
+	(q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1C0B, (q15_t)0x7CE3,
+	(q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x15E2, (q15_t)0x7E1D,
+	(q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x0FAB, (q15_t)0x7F09,
+	(q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x096A, (q15_t)0x7FA7,
+	(q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x0324, (q15_t)0x7FF6,
+	(q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFCDB, (q15_t)0x7FF6,
+	(q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF695, (q15_t)0x7FA7,
+	(q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF054, (q15_t)0x7F09,
+	(q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEA1D, (q15_t)0x7E1D,
+	(q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE3F4, (q15_t)0x7CE3,
+	(q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDDDC, (q15_t)0x7B5D,
+	(q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD7D9, (q15_t)0x798A,
+	(q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD1EE, (q15_t)0x776C,
+	(q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCC21, (q15_t)0x7504,
+	(q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC673, (q15_t)0x7255,
+	(q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC0E8, (q15_t)0x6F5F,
+	(q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBB85, (q15_t)0x6C24,
+	(q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB64B, (q15_t)0x68A6,
+	(q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB140, (q15_t)0x64E8,
+	(q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAC64, (q15_t)0x60EC,
+	(q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA7BD, (q15_t)0x5CB4,
+	(q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA34B, (q15_t)0x5842,
+	(q15_t)0xA128, (q15_t)0x55F5, (q15_t)0x9F13, (q15_t)0x539B,
+	(q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9B17, (q15_t)0x4EBF,
+	(q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9759, (q15_t)0x49B4,
+	(q15_t)0x9592, (q15_t)0x471C, (q15_t)0x93DB, (q15_t)0x447A,
+	(q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x90A0, (q15_t)0x3F17,
+	(q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8DAA, (q15_t)0x398C,
+	(q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8AFB, (q15_t)0x33DE,
+	(q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8893, (q15_t)0x2E11,
+	(q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8675, (q15_t)0x2826,
+	(q15_t)0x8582, (q15_t)0x2528, (q15_t)0x84A2, (q15_t)0x2223,
+	(q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x831C, (q15_t)0x1C0B,
+	(q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x81E2, (q15_t)0x15E2,
+	(q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x80F6, (q15_t)0x0FAB,
+	(q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8058, (q15_t)0x096A,
+	(q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8009, (q15_t)0x0324,
+	(q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8009, (q15_t)0xFCDB,
+	(q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8058, (q15_t)0xF695,
+	(q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80F6, (q15_t)0xF054,
+	(q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81E2, (q15_t)0xEA1D,
+	(q15_t)0x8275, (q15_t)0xE707, (q15_t)0x831C, (q15_t)0xE3F4,
+	(q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x84A2, (q15_t)0xDDDC,
+	(q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x8675, (q15_t)0xD7D9,
+	(q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8893, (q15_t)0xD1EE,
+	(q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8AFB, (q15_t)0xCC21,
+	(q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8DAA, (q15_t)0xC673,
+	(q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x90A0, (q15_t)0xC0E8,
+	(q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x93DB, (q15_t)0xBB85,
+	(q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9759, (q15_t)0xB64B,
+	(q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9B17, (q15_t)0xB140,
+	(q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9F13, (q15_t)0xAC64,
+	(q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA34B, (q15_t)0xA7BD,
+	(q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA7BD, (q15_t)0xA34B,
+	(q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAC64, (q15_t)0x9F13,
+	(q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB140, (q15_t)0x9B17,
+	(q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB64B, (q15_t)0x9759,
+	(q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBB85, (q15_t)0x93DB,
+	(q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xC0E8, (q15_t)0x90A0,
+	(q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC673, (q15_t)0x8DAA,
+	(q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCC21, (q15_t)0x8AFB,
+	(q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD1EE, (q15_t)0x8893,
+	(q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD7D9, (q15_t)0x8675,
+	(q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDDDC, (q15_t)0x84A2,
+	(q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE3F4, (q15_t)0x831C,
+	(q15_t)0xE707, (q15_t)0x8275, (q15_t)0xEA1D, (q15_t)0x81E2,
+	(q15_t)0xED37, (q15_t)0x8162, (q15_t)0xF054, (q15_t)0x80F6,
+	(q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF695, (q15_t)0x8058,
+	(q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFCDB, (q15_t)0x8009
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_512)
+/**
+  @par
+  Example code for q15 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 512, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to q15(Fixed point 1.15):
+ 	round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_512_q15[768] = {
+	(q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFD, (q15_t)0x0192,
+	(q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FE9, (q15_t)0x04B6,
+	(q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FC2, (q15_t)0x07D9,
+	(q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F87, (q15_t)0x0AFB,
+	(q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F38, (q15_t)0x0E1B,
+	(q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7ED5, (q15_t)0x1139,
+	(q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E5F, (q15_t)0x1455,
+	(q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DD6, (q15_t)0x176D,
+	(q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D39, (q15_t)0x1A82,
+	(q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7C89, (q15_t)0x1D93,
+	(q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BC5, (q15_t)0x209F,
+	(q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7AEF, (q15_t)0x23A6,
+	(q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A05, (q15_t)0x26A8,
+	(q15_t)0x798A, (q15_t)0x2826, (q15_t)0x7909, (q15_t)0x29A3,
+	(q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x77FA, (q15_t)0x2C98,
+	(q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x76D9, (q15_t)0x2F87,
+	(q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75A5, (q15_t)0x326E,
+	(q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x745F, (q15_t)0x354D,
+	(q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7307, (q15_t)0x3824,
+	(q15_t)0x7255, (q15_t)0x398C, (q15_t)0x719E, (q15_t)0x3AF2,
+	(q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7023, (q15_t)0x3DB8,
+	(q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6E96, (q15_t)0x4073,
+	(q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6CF9, (q15_t)0x4325,
+	(q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6B4A, (q15_t)0x45CD,
+	(q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x698C, (q15_t)0x4869,
+	(q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x67BD, (q15_t)0x4AFB,
+	(q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x65DD, (q15_t)0x4D81,
+	(q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x63EF, (q15_t)0x4FFB,
+	(q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x61F1, (q15_t)0x5269,
+	(q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x5FE3, (q15_t)0x54CA,
+	(q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5DC7, (q15_t)0x571D,
+	(q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5B9D, (q15_t)0x5964,
+	(q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5964, (q15_t)0x5B9D,
+	(q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x571D, (q15_t)0x5DC7,
+	(q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x54CA, (q15_t)0x5FE3,
+	(q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5269, (q15_t)0x61F1,
+	(q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4FFB, (q15_t)0x63EF,
+	(q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4D81, (q15_t)0x65DD,
+	(q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4AFB, (q15_t)0x67BD,
+	(q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x4869, (q15_t)0x698C,
+	(q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x45CD, (q15_t)0x6B4A,
+	(q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x4325, (q15_t)0x6CF9,
+	(q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4073, (q15_t)0x6E96,
+	(q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3DB8, (q15_t)0x7023,
+	(q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3AF2, (q15_t)0x719E,
+	(q15_t)0x398C, (q15_t)0x7255, (q15_t)0x3824, (q15_t)0x7307,
+	(q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x354D, (q15_t)0x745F,
+	(q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x326E, (q15_t)0x75A5,
+	(q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2F87, (q15_t)0x76D9,
+	(q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2C98, (q15_t)0x77FA,
+	(q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x29A3, (q15_t)0x7909,
+	(q15_t)0x2826, (q15_t)0x798A, (q15_t)0x26A8, (q15_t)0x7A05,
+	(q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x23A6, (q15_t)0x7AEF,
+	(q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x209F, (q15_t)0x7BC5,
+	(q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1D93, (q15_t)0x7C89,
+	(q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1A82, (q15_t)0x7D39,
+	(q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x176D, (q15_t)0x7DD6,
+	(q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x1455, (q15_t)0x7E5F,
+	(q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1139, (q15_t)0x7ED5,
+	(q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0E1B, (q15_t)0x7F38,
+	(q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0AFB, (q15_t)0x7F87,
+	(q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x07D9, (q15_t)0x7FC2,
+	(q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x04B6, (q15_t)0x7FE9,
+	(q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x0192, (q15_t)0x7FFD,
+	(q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFE6D, (q15_t)0x7FFD,
+	(q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFB49, (q15_t)0x7FE9,
+	(q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF826, (q15_t)0x7FC2,
+	(q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF504, (q15_t)0x7F87,
+	(q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF1E4, (q15_t)0x7F38,
+	(q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEEC6, (q15_t)0x7ED5,
+	(q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEBAA, (q15_t)0x7E5F,
+	(q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE892, (q15_t)0x7DD6,
+	(q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE57D, (q15_t)0x7D39,
+	(q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE26C, (q15_t)0x7C89,
+	(q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDF60, (q15_t)0x7BC5,
+	(q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDC59, (q15_t)0x7AEF,
+	(q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD957, (q15_t)0x7A05,
+	(q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD65C, (q15_t)0x7909,
+	(q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD367, (q15_t)0x77FA,
+	(q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD078, (q15_t)0x76D9,
+	(q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCD91, (q15_t)0x75A5,
+	(q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCAB2, (q15_t)0x745F,
+	(q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC7DB, (q15_t)0x7307,
+	(q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC50D, (q15_t)0x719E,
+	(q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC247, (q15_t)0x7023,
+	(q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xBF8C, (q15_t)0x6E96,
+	(q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBCDA, (q15_t)0x6CF9,
+	(q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBA32, (q15_t)0x6B4A,
+	(q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB796, (q15_t)0x698C,
+	(q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB504, (q15_t)0x67BD,
+	(q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB27E, (q15_t)0x65DD,
+	(q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB004, (q15_t)0x63EF,
+	(q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAD96, (q15_t)0x61F1,
+	(q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAB35, (q15_t)0x5FE3,
+	(q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA8E2, (q15_t)0x5DC7,
+	(q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA69B, (q15_t)0x5B9D,
+	(q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA462, (q15_t)0x5964,
+	(q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA238, (q15_t)0x571D,
+	(q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA01C, (q15_t)0x54CA,
+	(q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9E0E, (q15_t)0x5269,
+	(q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9C10, (q15_t)0x4FFB,
+	(q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9A22, (q15_t)0x4D81,
+	(q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9842, (q15_t)0x4AFB,
+	(q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x9673, (q15_t)0x4869,
+	(q15_t)0x9592, (q15_t)0x471C, (q15_t)0x94B5, (q15_t)0x45CD,
+	(q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x9306, (q15_t)0x4325,
+	(q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x9169, (q15_t)0x4073,
+	(q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x8FDC, (q15_t)0x3DB8,
+	(q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8E61, (q15_t)0x3AF2,
+	(q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8CF8, (q15_t)0x3824,
+	(q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8BA0, (q15_t)0x354D,
+	(q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8A5A, (q15_t)0x326E,
+	(q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8926, (q15_t)0x2F87,
+	(q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x8805, (q15_t)0x2C98,
+	(q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x86F6, (q15_t)0x29A3,
+	(q15_t)0x8675, (q15_t)0x2826, (q15_t)0x85FA, (q15_t)0x26A8,
+	(q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8510, (q15_t)0x23A6,
+	(q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x843A, (q15_t)0x209F,
+	(q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x8376, (q15_t)0x1D93,
+	(q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x82C6, (q15_t)0x1A82,
+	(q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8229, (q15_t)0x176D,
+	(q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81A0, (q15_t)0x1455,
+	(q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x812A, (q15_t)0x1139,
+	(q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80C7, (q15_t)0x0E1B,
+	(q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8078, (q15_t)0x0AFB,
+	(q15_t)0x8058, (q15_t)0x096A, (q15_t)0x803D, (q15_t)0x07D9,
+	(q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8016, (q15_t)0x04B6,
+	(q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8002, (q15_t)0x0192,
+	(q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8002, (q15_t)0xFE6D,
+	(q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x8016, (q15_t)0xFB49,
+	(q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x803D, (q15_t)0xF826,
+	(q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8078, (q15_t)0xF504,
+	(q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80C7, (q15_t)0xF1E4,
+	(q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x812A, (q15_t)0xEEC6,
+	(q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81A0, (q15_t)0xEBAA,
+	(q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x8229, (q15_t)0xE892,
+	(q15_t)0x8275, (q15_t)0xE707, (q15_t)0x82C6, (q15_t)0xE57D,
+	(q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8376, (q15_t)0xE26C,
+	(q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x843A, (q15_t)0xDF60,
+	(q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x8510, (q15_t)0xDC59,
+	(q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85FA, (q15_t)0xD957,
+	(q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x86F6, (q15_t)0xD65C,
+	(q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8805, (q15_t)0xD367,
+	(q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x8926, (q15_t)0xD078,
+	(q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8A5A, (q15_t)0xCD91,
+	(q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8BA0, (q15_t)0xCAB2,
+	(q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8CF8, (q15_t)0xC7DB,
+	(q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8E61, (q15_t)0xC50D,
+	(q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8FDC, (q15_t)0xC247,
+	(q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x9169, (q15_t)0xBF8C,
+	(q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x9306, (q15_t)0xBCDA,
+	(q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x94B5, (q15_t)0xBA32,
+	(q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9673, (q15_t)0xB796,
+	(q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9842, (q15_t)0xB504,
+	(q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9A22, (q15_t)0xB27E,
+	(q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9C10, (q15_t)0xB004,
+	(q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9E0E, (q15_t)0xAD96,
+	(q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0xA01C, (q15_t)0xAB35,
+	(q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA238, (q15_t)0xA8E2,
+	(q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA462, (q15_t)0xA69B,
+	(q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA69B, (q15_t)0xA462,
+	(q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA8E2, (q15_t)0xA238,
+	(q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAB35, (q15_t)0xA01C,
+	(q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xAD96, (q15_t)0x9E0E,
+	(q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB004, (q15_t)0x9C10,
+	(q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB27E, (q15_t)0x9A22,
+	(q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB504, (q15_t)0x9842,
+	(q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB796, (q15_t)0x9673,
+	(q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBA32, (q15_t)0x94B5,
+	(q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBCDA, (q15_t)0x9306,
+	(q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBF8C, (q15_t)0x9169,
+	(q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC247, (q15_t)0x8FDC,
+	(q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC50D, (q15_t)0x8E61,
+	(q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC7DB, (q15_t)0x8CF8,
+	(q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCAB2, (q15_t)0x8BA0,
+	(q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCD91, (q15_t)0x8A5A,
+	(q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD078, (q15_t)0x8926,
+	(q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD367, (q15_t)0x8805,
+	(q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD65C, (q15_t)0x86F6,
+	(q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD957, (q15_t)0x85FA,
+	(q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDC59, (q15_t)0x8510,
+	(q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDF60, (q15_t)0x843A,
+	(q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE26C, (q15_t)0x8376,
+	(q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE57D, (q15_t)0x82C6,
+	(q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE892, (q15_t)0x8229,
+	(q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEBAA, (q15_t)0x81A0,
+	(q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEEC6, (q15_t)0x812A,
+	(q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF1E4, (q15_t)0x80C7,
+	(q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF504, (q15_t)0x8078,
+	(q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF826, (q15_t)0x803D,
+	(q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFB49, (q15_t)0x8016,
+	(q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFE6D, (q15_t)0x8002
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_1024)
+/**
+  @par
+  Example code for q15 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 1024, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to q15(Fixed point 1.15):
+ 	round(twiddleCoefq15(i) * pow(2, 15))
+ 
+ */
+const q15_t twiddleCoef_1024_q15[1536] = {
+	(q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x00C9,
+	(q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFA, (q15_t)0x025B,
+	(q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF0, (q15_t)0x03ED,
+	(q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE1, (q15_t)0x057F,
+	(q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FCE, (q15_t)0x0710,
+	(q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FB5, (q15_t)0x08A2,
+	(q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F97, (q15_t)0x0A33,
+	(q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F75, (q15_t)0x0BC3,
+	(q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F4D, (q15_t)0x0D53,
+	(q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F21, (q15_t)0x0EE3,
+	(q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EF0, (q15_t)0x1072,
+	(q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EBA, (q15_t)0x1201,
+	(q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E7F, (q15_t)0x138E,
+	(q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E3F, (q15_t)0x151B,
+	(q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DFA, (q15_t)0x16A8,
+	(q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DB0, (q15_t)0x1833,
+	(q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D62, (q15_t)0x19BD,
+	(q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D0F, (q15_t)0x1B47,
+	(q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CB7, (q15_t)0x1CCF,
+	(q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C5A, (q15_t)0x1E56,
+	(q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BF8, (q15_t)0x1FDC,
+	(q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7B92, (q15_t)0x2161,
+	(q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B26, (q15_t)0x22E5,
+	(q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AB6, (q15_t)0x2467,
+	(q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A42, (q15_t)0x25E8,
+	(q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79C8, (q15_t)0x2767,
+	(q15_t)0x798A, (q15_t)0x2826, (q15_t)0x794A, (q15_t)0x28E5,
+	(q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78C7, (q15_t)0x2A61,
+	(q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7840, (q15_t)0x2BDC,
+	(q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77B4, (q15_t)0x2D55,
+	(q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x7723, (q15_t)0x2ECC,
+	(q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x768E, (q15_t)0x3041,
+	(q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75F4, (q15_t)0x31B5,
+	(q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x7555, (q15_t)0x3326,
+	(q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74B2, (q15_t)0x3496,
+	(q15_t)0x745F, (q15_t)0x354D, (q15_t)0x740B, (q15_t)0x3604,
+	(q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x735F, (q15_t)0x376F,
+	(q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72AF, (q15_t)0x38D8,
+	(q15_t)0x7255, (q15_t)0x398C, (q15_t)0x71FA, (q15_t)0x3A40,
+	(q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x7141, (q15_t)0x3BA5,
+	(q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7083, (q15_t)0x3D07,
+	(q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x6FC1, (q15_t)0x3E68,
+	(q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6EFB, (q15_t)0x3FC5,
+	(q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E30, (q15_t)0x4121,
+	(q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6D62, (q15_t)0x427A,
+	(q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6C8F, (q15_t)0x43D0,
+	(q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6BB8, (q15_t)0x4524,
+	(q15_t)0x6B4A, (q15_t)0x45CD, (q15_t)0x6ADC, (q15_t)0x4675,
+	(q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x69FD, (q15_t)0x47C3,
+	(q15_t)0x698C, (q15_t)0x4869, (q15_t)0x6919, (q15_t)0x490F,
+	(q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x6832, (q15_t)0x4A58,
+	(q15_t)0x67BD, (q15_t)0x4AFB, (q15_t)0x6746, (q15_t)0x4B9E,
+	(q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x6657, (q15_t)0x4CE1,
+	(q15_t)0x65DD, (q15_t)0x4D81, (q15_t)0x6563, (q15_t)0x4E21,
+	(q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x646C, (q15_t)0x4F5E,
+	(q15_t)0x63EF, (q15_t)0x4FFB, (q15_t)0x6371, (q15_t)0x5097,
+	(q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x6271, (q15_t)0x51CE,
+	(q15_t)0x61F1, (q15_t)0x5269, (q15_t)0x616F, (q15_t)0x5302,
+	(q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x6068, (q15_t)0x5433,
+	(q15_t)0x5FE3, (q15_t)0x54CA, (q15_t)0x5F5E, (q15_t)0x5560,
+	(q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5E50, (q15_t)0x568A,
+	(q15_t)0x5DC7, (q15_t)0x571D, (q15_t)0x5D3E, (q15_t)0x57B0,
+	(q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5C29, (q15_t)0x58D4,
+	(q15_t)0x5B9D, (q15_t)0x5964, (q15_t)0x5B10, (q15_t)0x59F3,
+	(q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x59F3, (q15_t)0x5B10,
+	(q15_t)0x5964, (q15_t)0x5B9D, (q15_t)0x58D4, (q15_t)0x5C29,
+	(q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x57B0, (q15_t)0x5D3E,
+	(q15_t)0x571D, (q15_t)0x5DC7, (q15_t)0x568A, (q15_t)0x5E50,
+	(q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x5560, (q15_t)0x5F5E,
+	(q15_t)0x54CA, (q15_t)0x5FE3, (q15_t)0x5433, (q15_t)0x6068,
+	(q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5302, (q15_t)0x616F,
+	(q15_t)0x5269, (q15_t)0x61F1, (q15_t)0x51CE, (q15_t)0x6271,
+	(q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x5097, (q15_t)0x6371,
+	(q15_t)0x4FFB, (q15_t)0x63EF, (q15_t)0x4F5E, (q15_t)0x646C,
+	(q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4E21, (q15_t)0x6563,
+	(q15_t)0x4D81, (q15_t)0x65DD, (q15_t)0x4CE1, (q15_t)0x6657,
+	(q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4B9E, (q15_t)0x6746,
+	(q15_t)0x4AFB, (q15_t)0x67BD, (q15_t)0x4A58, (q15_t)0x6832,
+	(q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x490F, (q15_t)0x6919,
+	(q15_t)0x4869, (q15_t)0x698C, (q15_t)0x47C3, (q15_t)0x69FD,
+	(q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x4675, (q15_t)0x6ADC,
+	(q15_t)0x45CD, (q15_t)0x6B4A, (q15_t)0x4524, (q15_t)0x6BB8,
+	(q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x43D0, (q15_t)0x6C8F,
+	(q15_t)0x4325, (q15_t)0x6CF9, (q15_t)0x427A, (q15_t)0x6D62,
+	(q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4121, (q15_t)0x6E30,
+	(q15_t)0x4073, (q15_t)0x6E96, (q15_t)0x3FC5, (q15_t)0x6EFB,
+	(q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3E68, (q15_t)0x6FC1,
+	(q15_t)0x3DB8, (q15_t)0x7023, (q15_t)0x3D07, (q15_t)0x7083,
+	(q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3BA5, (q15_t)0x7141,
+	(q15_t)0x3AF2, (q15_t)0x719E, (q15_t)0x3A40, (q15_t)0x71FA,
+	(q15_t)0x398C, (q15_t)0x7255, (q15_t)0x38D8, (q15_t)0x72AF,
+	(q15_t)0x3824, (q15_t)0x7307, (q15_t)0x376F, (q15_t)0x735F,
+	(q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x3604, (q15_t)0x740B,
+	(q15_t)0x354D, (q15_t)0x745F, (q15_t)0x3496, (q15_t)0x74B2,
+	(q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x3326, (q15_t)0x7555,
+	(q15_t)0x326E, (q15_t)0x75A5, (q15_t)0x31B5, (q15_t)0x75F4,
+	(q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x3041, (q15_t)0x768E,
+	(q15_t)0x2F87, (q15_t)0x76D9, (q15_t)0x2ECC, (q15_t)0x7723,
+	(q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2D55, (q15_t)0x77B4,
+	(q15_t)0x2C98, (q15_t)0x77FA, (q15_t)0x2BDC, (q15_t)0x7840,
+	(q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2A61, (q15_t)0x78C7,
+	(q15_t)0x29A3, (q15_t)0x7909, (q15_t)0x28E5, (q15_t)0x794A,
+	(q15_t)0x2826, (q15_t)0x798A, (q15_t)0x2767, (q15_t)0x79C8,
+	(q15_t)0x26A8, (q15_t)0x7A05, (q15_t)0x25E8, (q15_t)0x7A42,
+	(q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x2467, (q15_t)0x7AB6,
+	(q15_t)0x23A6, (q15_t)0x7AEF, (q15_t)0x22E5, (q15_t)0x7B26,
+	(q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x2161, (q15_t)0x7B92,
+	(q15_t)0x209F, (q15_t)0x7BC5, (q15_t)0x1FDC, (q15_t)0x7BF8,
+	(q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1E56, (q15_t)0x7C5A,
+	(q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1CCF, (q15_t)0x7CB7,
+	(q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1B47, (q15_t)0x7D0F,
+	(q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x19BD, (q15_t)0x7D62,
+	(q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x1833, (q15_t)0x7DB0,
+	(q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x16A8, (q15_t)0x7DFA,
+	(q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x151B, (q15_t)0x7E3F,
+	(q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x138E, (q15_t)0x7E7F,
+	(q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1201, (q15_t)0x7EBA,
+	(q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x1072, (q15_t)0x7EF0,
+	(q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0EE3, (q15_t)0x7F21,
+	(q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0D53, (q15_t)0x7F4D,
+	(q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0BC3, (q15_t)0x7F75,
+	(q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0A33, (q15_t)0x7F97,
+	(q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x08A2, (q15_t)0x7FB5,
+	(q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x0710, (q15_t)0x7FCE,
+	(q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x057F, (q15_t)0x7FE1,
+	(q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x03ED, (q15_t)0x7FF0,
+	(q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x025B, (q15_t)0x7FFA,
+	(q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x00C9, (q15_t)0x7FFF,
+	(q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFF36, (q15_t)0x7FFF,
+	(q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFDA4, (q15_t)0x7FFA,
+	(q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFC12, (q15_t)0x7FF0,
+	(q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFA80, (q15_t)0x7FE1,
+	(q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF8EF, (q15_t)0x7FCE,
+	(q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF75D, (q15_t)0x7FB5,
+	(q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF5CC, (q15_t)0x7F97,
+	(q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF43C, (q15_t)0x7F75,
+	(q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF2AC, (q15_t)0x7F4D,
+	(q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF11C, (q15_t)0x7F21,
+	(q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEF8D, (q15_t)0x7EF0,
+	(q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEDFE, (q15_t)0x7EBA,
+	(q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEC71, (q15_t)0x7E7F,
+	(q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEAE4, (q15_t)0x7E3F,
+	(q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE957, (q15_t)0x7DFA,
+	(q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE7CC, (q15_t)0x7DB0,
+	(q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE642, (q15_t)0x7D62,
+	(q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE4B8, (q15_t)0x7D0F,
+	(q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE330, (q15_t)0x7CB7,
+	(q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE1A9, (q15_t)0x7C5A,
+	(q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE023, (q15_t)0x7BF8,
+	(q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDE9E, (q15_t)0x7B92,
+	(q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDD1A, (q15_t)0x7B26,
+	(q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDB98, (q15_t)0x7AB6,
+	(q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDA17, (q15_t)0x7A42,
+	(q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD898, (q15_t)0x79C8,
+	(q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD71A, (q15_t)0x794A,
+	(q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD59E, (q15_t)0x78C7,
+	(q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD423, (q15_t)0x7840,
+	(q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD2AA, (q15_t)0x77B4,
+	(q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD133, (q15_t)0x7723,
+	(q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xCFBE, (q15_t)0x768E,
+	(q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCE4A, (q15_t)0x75F4,
+	(q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCCD9, (q15_t)0x7555,
+	(q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCB69, (q15_t)0x74B2,
+	(q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xC9FB, (q15_t)0x740B,
+	(q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC890, (q15_t)0x735F,
+	(q15_t)0xC7DB, (q15_t)0x7307, (q15_t)0xC727, (q15_t)0x72AF,
+	(q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC5BF, (q15_t)0x71FA,
+	(q15_t)0xC50D, (q15_t)0x719E, (q15_t)0xC45A, (q15_t)0x7141,
+	(q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC2F8, (q15_t)0x7083,
+	(q15_t)0xC247, (q15_t)0x7023, (q15_t)0xC197, (q15_t)0x6FC1,
+	(q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xC03A, (q15_t)0x6EFB,
+	(q15_t)0xBF8C, (q15_t)0x6E96, (q15_t)0xBEDE, (q15_t)0x6E30,
+	(q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBD85, (q15_t)0x6D62,
+	(q15_t)0xBCDA, (q15_t)0x6CF9, (q15_t)0xBC2F, (q15_t)0x6C8F,
+	(q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBADB, (q15_t)0x6BB8,
+	(q15_t)0xBA32, (q15_t)0x6B4A, (q15_t)0xB98A, (q15_t)0x6ADC,
+	(q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB83C, (q15_t)0x69FD,
+	(q15_t)0xB796, (q15_t)0x698C, (q15_t)0xB6F0, (q15_t)0x6919,
+	(q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB5A7, (q15_t)0x6832,
+	(q15_t)0xB504, (q15_t)0x67BD, (q15_t)0xB461, (q15_t)0x6746,
+	(q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB31E, (q15_t)0x6657,
+	(q15_t)0xB27E, (q15_t)0x65DD, (q15_t)0xB1DE, (q15_t)0x6563,
+	(q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB0A1, (q15_t)0x646C,
+	(q15_t)0xB004, (q15_t)0x63EF, (q15_t)0xAF68, (q15_t)0x6371,
+	(q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAE31, (q15_t)0x6271,
+	(q15_t)0xAD96, (q15_t)0x61F1, (q15_t)0xACFD, (q15_t)0x616F,
+	(q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xABCC, (q15_t)0x6068,
+	(q15_t)0xAB35, (q15_t)0x5FE3, (q15_t)0xAA9F, (q15_t)0x5F5E,
+	(q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA975, (q15_t)0x5E50,
+	(q15_t)0xA8E2, (q15_t)0x5DC7, (q15_t)0xA84F, (q15_t)0x5D3E,
+	(q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA72B, (q15_t)0x5C29,
+	(q15_t)0xA69B, (q15_t)0x5B9D, (q15_t)0xA60C, (q15_t)0x5B10,
+	(q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA4EF, (q15_t)0x59F3,
+	(q15_t)0xA462, (q15_t)0x5964, (q15_t)0xA3D6, (q15_t)0x58D4,
+	(q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA2C1, (q15_t)0x57B0,
+	(q15_t)0xA238, (q15_t)0x571D, (q15_t)0xA1AF, (q15_t)0x568A,
+	(q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA0A1, (q15_t)0x5560,
+	(q15_t)0xA01C, (q15_t)0x54CA, (q15_t)0x9F97, (q15_t)0x5433,
+	(q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9E90, (q15_t)0x5302,
+	(q15_t)0x9E0E, (q15_t)0x5269, (q15_t)0x9D8E, (q15_t)0x51CE,
+	(q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9C8E, (q15_t)0x5097,
+	(q15_t)0x9C10, (q15_t)0x4FFB, (q15_t)0x9B93, (q15_t)0x4F5E,
+	(q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9A9C, (q15_t)0x4E21,
+	(q15_t)0x9A22, (q15_t)0x4D81, (q15_t)0x99A8, (q15_t)0x4CE1,
+	(q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x98B9, (q15_t)0x4B9E,
+	(q15_t)0x9842, (q15_t)0x4AFB, (q15_t)0x97CD, (q15_t)0x4A58,
+	(q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x96E6, (q15_t)0x490F,
+	(q15_t)0x9673, (q15_t)0x4869, (q15_t)0x9602, (q15_t)0x47C3,
+	(q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9523, (q15_t)0x4675,
+	(q15_t)0x94B5, (q15_t)0x45CD, (q15_t)0x9447, (q15_t)0x4524,
+	(q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x9370, (q15_t)0x43D0,
+	(q15_t)0x9306, (q15_t)0x4325, (q15_t)0x929D, (q15_t)0x427A,
+	(q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x91CF, (q15_t)0x4121,
+	(q15_t)0x9169, (q15_t)0x4073, (q15_t)0x9104, (q15_t)0x3FC5,
+	(q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x903E, (q15_t)0x3E68,
+	(q15_t)0x8FDC, (q15_t)0x3DB8, (q15_t)0x8F7C, (q15_t)0x3D07,
+	(q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8EBE, (q15_t)0x3BA5,
+	(q15_t)0x8E61, (q15_t)0x3AF2, (q15_t)0x8E05, (q15_t)0x3A40,
+	(q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8D50, (q15_t)0x38D8,
+	(q15_t)0x8CF8, (q15_t)0x3824, (q15_t)0x8CA0, (q15_t)0x376F,
+	(q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8BF4, (q15_t)0x3604,
+	(q15_t)0x8BA0, (q15_t)0x354D, (q15_t)0x8B4D, (q15_t)0x3496,
+	(q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8AAA, (q15_t)0x3326,
+	(q15_t)0x8A5A, (q15_t)0x326E, (q15_t)0x8A0B, (q15_t)0x31B5,
+	(q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8971, (q15_t)0x3041,
+	(q15_t)0x8926, (q15_t)0x2F87, (q15_t)0x88DC, (q15_t)0x2ECC,
+	(q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x884B, (q15_t)0x2D55,
+	(q15_t)0x8805, (q15_t)0x2C98, (q15_t)0x87BF, (q15_t)0x2BDC,
+	(q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8738, (q15_t)0x2A61,
+	(q15_t)0x86F6, (q15_t)0x29A3, (q15_t)0x86B5, (q15_t)0x28E5,
+	(q15_t)0x8675, (q15_t)0x2826, (q15_t)0x8637, (q15_t)0x2767,
+	(q15_t)0x85FA, (q15_t)0x26A8, (q15_t)0x85BD, (q15_t)0x25E8,
+	(q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8549, (q15_t)0x2467,
+	(q15_t)0x8510, (q15_t)0x23A6, (q15_t)0x84D9, (q15_t)0x22E5,
+	(q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x846D, (q15_t)0x2161,
+	(q15_t)0x843A, (q15_t)0x209F, (q15_t)0x8407, (q15_t)0x1FDC,
+	(q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x83A5, (q15_t)0x1E56,
+	(q15_t)0x8376, (q15_t)0x1D93, (q15_t)0x8348, (q15_t)0x1CCF,
+	(q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x82F0, (q15_t)0x1B47,
+	(q15_t)0x82C6, (q15_t)0x1A82, (q15_t)0x829D, (q15_t)0x19BD,
+	(q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x824F, (q15_t)0x1833,
+	(q15_t)0x8229, (q15_t)0x176D, (q15_t)0x8205, (q15_t)0x16A8,
+	(q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81C0, (q15_t)0x151B,
+	(q15_t)0x81A0, (q15_t)0x1455, (q15_t)0x8180, (q15_t)0x138E,
+	(q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x8145, (q15_t)0x1201,
+	(q15_t)0x812A, (q15_t)0x1139, (q15_t)0x810F, (q15_t)0x1072,
+	(q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80DE, (q15_t)0x0EE3,
+	(q15_t)0x80C7, (q15_t)0x0E1B, (q15_t)0x80B2, (q15_t)0x0D53,
+	(q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x808A, (q15_t)0x0BC3,
+	(q15_t)0x8078, (q15_t)0x0AFB, (q15_t)0x8068, (q15_t)0x0A33,
+	(q15_t)0x8058, (q15_t)0x096A, (q15_t)0x804A, (q15_t)0x08A2,
+	(q15_t)0x803D, (q15_t)0x07D9, (q15_t)0x8031, (q15_t)0x0710,
+	(q15_t)0x8027, (q15_t)0x0647, (q15_t)0x801E, (q15_t)0x057F,
+	(q15_t)0x8016, (q15_t)0x04B6, (q15_t)0x800F, (q15_t)0x03ED,
+	(q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8005, (q15_t)0x025B,
+	(q15_t)0x8002, (q15_t)0x0192, (q15_t)0x8000, (q15_t)0x00C9,
+	(q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8000, (q15_t)0xFF36,
+	(q15_t)0x8002, (q15_t)0xFE6D, (q15_t)0x8005, (q15_t)0xFDA4,
+	(q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x800F, (q15_t)0xFC12,
+	(q15_t)0x8016, (q15_t)0xFB49, (q15_t)0x801E, (q15_t)0xFA80,
+	(q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8031, (q15_t)0xF8EF,
+	(q15_t)0x803D, (q15_t)0xF826, (q15_t)0x804A, (q15_t)0xF75D,
+	(q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8068, (q15_t)0xF5CC,
+	(q15_t)0x8078, (q15_t)0xF504, (q15_t)0x808A, (q15_t)0xF43C,
+	(q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80B2, (q15_t)0xF2AC,
+	(q15_t)0x80C7, (q15_t)0xF1E4, (q15_t)0x80DE, (q15_t)0xF11C,
+	(q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x810F, (q15_t)0xEF8D,
+	(q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8145, (q15_t)0xEDFE,
+	(q15_t)0x8162, (q15_t)0xED37, (q15_t)0x8180, (q15_t)0xEC71,
+	(q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81C0, (q15_t)0xEAE4,
+	(q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x8205, (q15_t)0xE957,
+	(q15_t)0x8229, (q15_t)0xE892, (q15_t)0x824F, (q15_t)0xE7CC,
+	(q15_t)0x8275, (q15_t)0xE707, (q15_t)0x829D, (q15_t)0xE642,
+	(q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82F0, (q15_t)0xE4B8,
+	(q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8348, (q15_t)0xE330,
+	(q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x83A5, (q15_t)0xE1A9,
+	(q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x8407, (q15_t)0xE023,
+	(q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x846D, (q15_t)0xDE9E,
+	(q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84D9, (q15_t)0xDD1A,
+	(q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x8549, (q15_t)0xDB98,
+	(q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85BD, (q15_t)0xDA17,
+	(q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8637, (q15_t)0xD898,
+	(q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x86B5, (q15_t)0xD71A,
+	(q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8738, (q15_t)0xD59E,
+	(q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x87BF, (q15_t)0xD423,
+	(q15_t)0x8805, (q15_t)0xD367, (q15_t)0x884B, (q15_t)0xD2AA,
+	(q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88DC, (q15_t)0xD133,
+	(q15_t)0x8926, (q15_t)0xD078, (q15_t)0x8971, (q15_t)0xCFBE,
+	(q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8A0B, (q15_t)0xCE4A,
+	(q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8AAA, (q15_t)0xCCD9,
+	(q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B4D, (q15_t)0xCB69,
+	(q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BF4, (q15_t)0xC9FB,
+	(q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8CA0, (q15_t)0xC890,
+	(q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D50, (q15_t)0xC727,
+	(q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8E05, (q15_t)0xC5BF,
+	(q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8EBE, (q15_t)0xC45A,
+	(q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F7C, (q15_t)0xC2F8,
+	(q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x903E, (q15_t)0xC197,
+	(q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x9104, (q15_t)0xC03A,
+	(q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x91CF, (q15_t)0xBEDE,
+	(q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x929D, (q15_t)0xBD85,
+	(q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x9370, (q15_t)0xBC2F,
+	(q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x9447, (q15_t)0xBADB,
+	(q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x9523, (q15_t)0xB98A,
+	(q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9602, (q15_t)0xB83C,
+	(q15_t)0x9673, (q15_t)0xB796, (q15_t)0x96E6, (q15_t)0xB6F0,
+	(q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x97CD, (q15_t)0xB5A7,
+	(q15_t)0x9842, (q15_t)0xB504, (q15_t)0x98B9, (q15_t)0xB461,
+	(q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x99A8, (q15_t)0xB31E,
+	(q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A9C, (q15_t)0xB1DE,
+	(q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B93, (q15_t)0xB0A1,
+	(q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C8E, (q15_t)0xAF68,
+	(q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D8E, (q15_t)0xAE31,
+	(q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E90, (q15_t)0xACFD,
+	(q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F97, (q15_t)0xABCC,
+	(q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA0A1, (q15_t)0xAA9F,
+	(q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA1AF, (q15_t)0xA975,
+	(q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA2C1, (q15_t)0xA84F,
+	(q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA3D6, (q15_t)0xA72B,
+	(q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA4EF, (q15_t)0xA60C,
+	(q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA60C, (q15_t)0xA4EF,
+	(q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA72B, (q15_t)0xA3D6,
+	(q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA84F, (q15_t)0xA2C1,
+	(q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA975, (q15_t)0xA1AF,
+	(q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA9F, (q15_t)0xA0A1,
+	(q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xABCC, (q15_t)0x9F97,
+	(q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xACFD, (q15_t)0x9E90,
+	(q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xAE31, (q15_t)0x9D8E,
+	(q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAF68, (q15_t)0x9C8E,
+	(q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB0A1, (q15_t)0x9B93,
+	(q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB1DE, (q15_t)0x9A9C,
+	(q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB31E, (q15_t)0x99A8,
+	(q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB461, (q15_t)0x98B9,
+	(q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB5A7, (q15_t)0x97CD,
+	(q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB6F0, (q15_t)0x96E6,
+	(q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB83C, (q15_t)0x9602,
+	(q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB98A, (q15_t)0x9523,
+	(q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBADB, (q15_t)0x9447,
+	(q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBC2F, (q15_t)0x9370,
+	(q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD85, (q15_t)0x929D,
+	(q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBEDE, (q15_t)0x91CF,
+	(q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xC03A, (q15_t)0x9104,
+	(q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC197, (q15_t)0x903E,
+	(q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC2F8, (q15_t)0x8F7C,
+	(q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC45A, (q15_t)0x8EBE,
+	(q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC5BF, (q15_t)0x8E05,
+	(q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC727, (q15_t)0x8D50,
+	(q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC890, (q15_t)0x8CA0,
+	(q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC9FB, (q15_t)0x8BF4,
+	(q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCB69, (q15_t)0x8B4D,
+	(q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCCD9, (q15_t)0x8AAA,
+	(q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCE4A, (q15_t)0x8A0B,
+	(q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCFBE, (q15_t)0x8971,
+	(q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD133, (q15_t)0x88DC,
+	(q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD2AA, (q15_t)0x884B,
+	(q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD423, (q15_t)0x87BF,
+	(q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD59E, (q15_t)0x8738,
+	(q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD71A, (q15_t)0x86B5,
+	(q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD898, (q15_t)0x8637,
+	(q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xDA17, (q15_t)0x85BD,
+	(q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB98, (q15_t)0x8549,
+	(q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDD1A, (q15_t)0x84D9,
+	(q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE9E, (q15_t)0x846D,
+	(q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xE023, (q15_t)0x8407,
+	(q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE1A9, (q15_t)0x83A5,
+	(q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE330, (q15_t)0x8348,
+	(q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE4B8, (q15_t)0x82F0,
+	(q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE642, (q15_t)0x829D,
+	(q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE7CC, (q15_t)0x824F,
+	(q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE957, (q15_t)0x8205,
+	(q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEAE4, (q15_t)0x81C0,
+	(q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC71, (q15_t)0x8180,
+	(q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEDFE, (q15_t)0x8145,
+	(q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF8D, (q15_t)0x810F,
+	(q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF11C, (q15_t)0x80DE,
+	(q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF2AC, (q15_t)0x80B2,
+	(q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF43C, (q15_t)0x808A,
+	(q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF5CC, (q15_t)0x8068,
+	(q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF75D, (q15_t)0x804A,
+	(q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF8EF, (q15_t)0x8031,
+	(q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA80, (q15_t)0x801E,
+	(q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFC12, (q15_t)0x800F,
+	(q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFDA4, (q15_t)0x8005,
+	(q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFF36, (q15_t)0x8000
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_2048)
+/**
+  @par
+  Example code for q15 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 2048, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to q15(Fixed point 1.15):
+ 	round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_2048_q15[3072] = {
+	(q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0064,
+	(q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFE, (q15_t)0x012D,
+	(q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01F6,
+	(q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF8, (q15_t)0x02BF,
+	(q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF3, (q15_t)0x0388,
+	(q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FED, (q15_t)0x0451,
+	(q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE5, (q15_t)0x051A,
+	(q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDD, (q15_t)0x05E3,
+	(q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD3, (q15_t)0x06AC,
+	(q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FC8, (q15_t)0x0775,
+	(q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBC, (q15_t)0x083D,
+	(q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FAE, (q15_t)0x0906,
+	(q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F9F, (q15_t)0x09CE,
+	(q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F8F, (q15_t)0x0A97,
+	(q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F7E, (q15_t)0x0B5F,
+	(q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F6B, (q15_t)0x0C27,
+	(q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F58, (q15_t)0x0CEF,
+	(q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F43, (q15_t)0x0DB7,
+	(q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F2D, (q15_t)0x0E7F,
+	(q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F15, (q15_t)0x0F47,
+	(q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EFD, (q15_t)0x100E,
+	(q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE3, (q15_t)0x10D6,
+	(q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EC8, (q15_t)0x119D,
+	(q15_t)0x7EBA, (q15_t)0x1201, (q15_t)0x7EAB, (q15_t)0x1264,
+	(q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E8E, (q15_t)0x132B,
+	(q15_t)0x7E7F, (q15_t)0x138E, (q15_t)0x7E6F, (q15_t)0x13F2,
+	(q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E4F, (q15_t)0x14B8,
+	(q15_t)0x7E3F, (q15_t)0x151B, (q15_t)0x7E2E, (q15_t)0x157F,
+	(q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7E0C, (q15_t)0x1645,
+	(q15_t)0x7DFA, (q15_t)0x16A8, (q15_t)0x7DE8, (q15_t)0x170A,
+	(q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DC3, (q15_t)0x17D0,
+	(q15_t)0x7DB0, (q15_t)0x1833, (q15_t)0x7D9D, (q15_t)0x1896,
+	(q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D76, (q15_t)0x195B,
+	(q15_t)0x7D62, (q15_t)0x19BD, (q15_t)0x7D4E, (q15_t)0x1A20,
+	(q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D24, (q15_t)0x1AE4,
+	(q15_t)0x7D0F, (q15_t)0x1B47, (q15_t)0x7CF9, (q15_t)0x1BA9,
+	(q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CCD, (q15_t)0x1C6D,
+	(q15_t)0x7CB7, (q15_t)0x1CCF, (q15_t)0x7CA0, (q15_t)0x1D31,
+	(q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C71, (q15_t)0x1DF5,
+	(q15_t)0x7C5A, (q15_t)0x1E56, (q15_t)0x7C42, (q15_t)0x1EB8,
+	(q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7C11, (q15_t)0x1F7B,
+	(q15_t)0x7BF8, (q15_t)0x1FDC, (q15_t)0x7BDF, (q15_t)0x203E,
+	(q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7BAC, (q15_t)0x2100,
+	(q15_t)0x7B92, (q15_t)0x2161, (q15_t)0x7B77, (q15_t)0x21C2,
+	(q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B42, (q15_t)0x2284,
+	(q15_t)0x7B26, (q15_t)0x22E5, (q15_t)0x7B0B, (q15_t)0x2345,
+	(q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AD3, (q15_t)0x2407,
+	(q15_t)0x7AB6, (q15_t)0x2467, (q15_t)0x7A9A, (q15_t)0x24C7,
+	(q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A5F, (q15_t)0x2588,
+	(q15_t)0x7A42, (q15_t)0x25E8, (q15_t)0x7A24, (q15_t)0x2648,
+	(q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79E7, (q15_t)0x2707,
+	(q15_t)0x79C8, (q15_t)0x2767, (q15_t)0x79A9, (q15_t)0x27C7,
+	(q15_t)0x798A, (q15_t)0x2826, (q15_t)0x796A, (q15_t)0x2886,
+	(q15_t)0x794A, (q15_t)0x28E5, (q15_t)0x792A, (q15_t)0x2944,
+	(q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78E8, (q15_t)0x2A02,
+	(q15_t)0x78C7, (q15_t)0x2A61, (q15_t)0x78A6, (q15_t)0x2AC0,
+	(q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7862, (q15_t)0x2B7D,
+	(q15_t)0x7840, (q15_t)0x2BDC, (q15_t)0x781D, (q15_t)0x2C3A,
+	(q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77D7, (q15_t)0x2CF7,
+	(q15_t)0x77B4, (q15_t)0x2D55, (q15_t)0x7790, (q15_t)0x2DB3,
+	(q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x7747, (q15_t)0x2E6E,
+	(q15_t)0x7723, (q15_t)0x2ECC, (q15_t)0x76FE, (q15_t)0x2F29,
+	(q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x76B3, (q15_t)0x2FE4,
+	(q15_t)0x768E, (q15_t)0x3041, (q15_t)0x7668, (q15_t)0x309E,
+	(q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x761B, (q15_t)0x3158,
+	(q15_t)0x75F4, (q15_t)0x31B5, (q15_t)0x75CC, (q15_t)0x3211,
+	(q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x757D, (q15_t)0x32CA,
+	(q15_t)0x7555, (q15_t)0x3326, (q15_t)0x752D, (q15_t)0x3382,
+	(q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74DB, (q15_t)0x343A,
+	(q15_t)0x74B2, (q15_t)0x3496, (q15_t)0x7489, (q15_t)0x34F2,
+	(q15_t)0x745F, (q15_t)0x354D, (q15_t)0x7435, (q15_t)0x35A8,
+	(q15_t)0x740B, (q15_t)0x3604, (q15_t)0x73E0, (q15_t)0x365F,
+	(q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x738A, (q15_t)0x3714,
+	(q15_t)0x735F, (q15_t)0x376F, (q15_t)0x7333, (q15_t)0x37CA,
+	(q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72DB, (q15_t)0x387E,
+	(q15_t)0x72AF, (q15_t)0x38D8, (q15_t)0x7282, (q15_t)0x3932,
+	(q15_t)0x7255, (q15_t)0x398C, (q15_t)0x7227, (q15_t)0x39E6,
+	(q15_t)0x71FA, (q15_t)0x3A40, (q15_t)0x71CC, (q15_t)0x3A99,
+	(q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x716F, (q15_t)0x3B4C,
+	(q15_t)0x7141, (q15_t)0x3BA5, (q15_t)0x7112, (q15_t)0x3BFD,
+	(q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x70B3, (q15_t)0x3CAF,
+	(q15_t)0x7083, (q15_t)0x3D07, (q15_t)0x7053, (q15_t)0x3D60,
+	(q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x6FF2, (q15_t)0x3E10,
+	(q15_t)0x6FC1, (q15_t)0x3E68, (q15_t)0x6F90, (q15_t)0x3EBF,
+	(q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6F2D, (q15_t)0x3F6E,
+	(q15_t)0x6EFB, (q15_t)0x3FC5, (q15_t)0x6EC9, (q15_t)0x401D,
+	(q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E63, (q15_t)0x40CA,
+	(q15_t)0x6E30, (q15_t)0x4121, (q15_t)0x6DFD, (q15_t)0x4177,
+	(q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6D96, (q15_t)0x4224,
+	(q15_t)0x6D62, (q15_t)0x427A, (q15_t)0x6D2D, (q15_t)0x42D0,
+	(q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6CC4, (q15_t)0x437B,
+	(q15_t)0x6C8F, (q15_t)0x43D0, (q15_t)0x6C59, (q15_t)0x4425,
+	(q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6BEE, (q15_t)0x44CF,
+	(q15_t)0x6BB8, (q15_t)0x4524, (q15_t)0x6B81, (q15_t)0x4578,
+	(q15_t)0x6B4A, (q15_t)0x45CD, (q15_t)0x6B13, (q15_t)0x4621,
+	(q15_t)0x6ADC, (q15_t)0x4675, (q15_t)0x6AA5, (q15_t)0x46C9,
+	(q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x6A35, (q15_t)0x4770,
+	(q15_t)0x69FD, (q15_t)0x47C3, (q15_t)0x69C4, (q15_t)0x4816,
+	(q15_t)0x698C, (q15_t)0x4869, (q15_t)0x6953, (q15_t)0x48BC,
+	(q15_t)0x6919, (q15_t)0x490F, (q15_t)0x68E0, (q15_t)0x4961,
+	(q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x686C, (q15_t)0x4A06,
+	(q15_t)0x6832, (q15_t)0x4A58, (q15_t)0x67F7, (q15_t)0x4AA9,
+	(q15_t)0x67BD, (q15_t)0x4AFB, (q15_t)0x6782, (q15_t)0x4B4C,
+	(q15_t)0x6746, (q15_t)0x4B9E, (q15_t)0x670B, (q15_t)0x4BEF,
+	(q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x6693, (q15_t)0x4C90,
+	(q15_t)0x6657, (q15_t)0x4CE1, (q15_t)0x661A, (q15_t)0x4D31,
+	(q15_t)0x65DD, (q15_t)0x4D81, (q15_t)0x65A0, (q15_t)0x4DD1,
+	(q15_t)0x6563, (q15_t)0x4E21, (q15_t)0x6526, (q15_t)0x4E70,
+	(q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x64AA, (q15_t)0x4F0F,
+	(q15_t)0x646C, (q15_t)0x4F5E, (q15_t)0x642D, (q15_t)0x4FAC,
+	(q15_t)0x63EF, (q15_t)0x4FFB, (q15_t)0x63B0, (q15_t)0x5049,
+	(q15_t)0x6371, (q15_t)0x5097, (q15_t)0x6331, (q15_t)0x50E5,
+	(q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x62B2, (q15_t)0x5181,
+	(q15_t)0x6271, (q15_t)0x51CE, (q15_t)0x6231, (q15_t)0x521C,
+	(q15_t)0x61F1, (q15_t)0x5269, (q15_t)0x61B0, (q15_t)0x52B5,
+	(q15_t)0x616F, (q15_t)0x5302, (q15_t)0x612D, (q15_t)0x534E,
+	(q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x60AA, (q15_t)0x53E7,
+	(q15_t)0x6068, (q15_t)0x5433, (q15_t)0x6026, (q15_t)0x547E,
+	(q15_t)0x5FE3, (q15_t)0x54CA, (q15_t)0x5FA0, (q15_t)0x5515,
+	(q15_t)0x5F5E, (q15_t)0x5560, (q15_t)0x5F1A, (q15_t)0x55AB,
+	(q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5E93, (q15_t)0x5640,
+	(q15_t)0x5E50, (q15_t)0x568A, (q15_t)0x5E0B, (q15_t)0x56D4,
+	(q15_t)0x5DC7, (q15_t)0x571D, (q15_t)0x5D83, (q15_t)0x5767,
+	(q15_t)0x5D3E, (q15_t)0x57B0, (q15_t)0x5CF9, (q15_t)0x57F9,
+	(q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5C6E, (q15_t)0x588B,
+	(q15_t)0x5C29, (q15_t)0x58D4, (q15_t)0x5BE3, (q15_t)0x591C,
+	(q15_t)0x5B9D, (q15_t)0x5964, (q15_t)0x5B56, (q15_t)0x59AC,
+	(q15_t)0x5B10, (q15_t)0x59F3, (q15_t)0x5AC9, (q15_t)0x5A3B,
+	(q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5A3B, (q15_t)0x5AC9,
+	(q15_t)0x59F3, (q15_t)0x5B10, (q15_t)0x59AC, (q15_t)0x5B56,
+	(q15_t)0x5964, (q15_t)0x5B9D, (q15_t)0x591C, (q15_t)0x5BE3,
+	(q15_t)0x58D4, (q15_t)0x5C29, (q15_t)0x588B, (q15_t)0x5C6E,
+	(q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x57F9, (q15_t)0x5CF9,
+	(q15_t)0x57B0, (q15_t)0x5D3E, (q15_t)0x5767, (q15_t)0x5D83,
+	(q15_t)0x571D, (q15_t)0x5DC7, (q15_t)0x56D4, (q15_t)0x5E0B,
+	(q15_t)0x568A, (q15_t)0x5E50, (q15_t)0x5640, (q15_t)0x5E93,
+	(q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x55AB, (q15_t)0x5F1A,
+	(q15_t)0x5560, (q15_t)0x5F5E, (q15_t)0x5515, (q15_t)0x5FA0,
+	(q15_t)0x54CA, (q15_t)0x5FE3, (q15_t)0x547E, (q15_t)0x6026,
+	(q15_t)0x5433, (q15_t)0x6068, (q15_t)0x53E7, (q15_t)0x60AA,
+	(q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x534E, (q15_t)0x612D,
+	(q15_t)0x5302, (q15_t)0x616F, (q15_t)0x52B5, (q15_t)0x61B0,
+	(q15_t)0x5269, (q15_t)0x61F1, (q15_t)0x521C, (q15_t)0x6231,
+	(q15_t)0x51CE, (q15_t)0x6271, (q15_t)0x5181, (q15_t)0x62B2,
+	(q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x50E5, (q15_t)0x6331,
+	(q15_t)0x5097, (q15_t)0x6371, (q15_t)0x5049, (q15_t)0x63B0,
+	(q15_t)0x4FFB, (q15_t)0x63EF, (q15_t)0x4FAC, (q15_t)0x642D,
+	(q15_t)0x4F5E, (q15_t)0x646C, (q15_t)0x4F0F, (q15_t)0x64AA,
+	(q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4E70, (q15_t)0x6526,
+	(q15_t)0x4E21, (q15_t)0x6563, (q15_t)0x4DD1, (q15_t)0x65A0,
+	(q15_t)0x4D81, (q15_t)0x65DD, (q15_t)0x4D31, (q15_t)0x661A,
+	(q15_t)0x4CE1, (q15_t)0x6657, (q15_t)0x4C90, (q15_t)0x6693,
+	(q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4BEF, (q15_t)0x670B,
+	(q15_t)0x4B9E, (q15_t)0x6746, (q15_t)0x4B4C, (q15_t)0x6782,
+	(q15_t)0x4AFB, (q15_t)0x67BD, (q15_t)0x4AA9, (q15_t)0x67F7,
+	(q15_t)0x4A58, (q15_t)0x6832, (q15_t)0x4A06, (q15_t)0x686C,
+	(q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x4961, (q15_t)0x68E0,
+	(q15_t)0x490F, (q15_t)0x6919, (q15_t)0x48BC, (q15_t)0x6953,
+	(q15_t)0x4869, (q15_t)0x698C, (q15_t)0x4816, (q15_t)0x69C4,
+	(q15_t)0x47C3, (q15_t)0x69FD, (q15_t)0x4770, (q15_t)0x6A35,
+	(q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x46C9, (q15_t)0x6AA5,
+	(q15_t)0x4675, (q15_t)0x6ADC, (q15_t)0x4621, (q15_t)0x6B13,
+	(q15_t)0x45CD, (q15_t)0x6B4A, (q15_t)0x4578, (q15_t)0x6B81,
+	(q15_t)0x4524, (q15_t)0x6BB8, (q15_t)0x44CF, (q15_t)0x6BEE,
+	(q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x4425, (q15_t)0x6C59,
+	(q15_t)0x43D0, (q15_t)0x6C8F, (q15_t)0x437B, (q15_t)0x6CC4,
+	(q15_t)0x4325, (q15_t)0x6CF9, (q15_t)0x42D0, (q15_t)0x6D2D,
+	(q15_t)0x427A, (q15_t)0x6D62, (q15_t)0x4224, (q15_t)0x6D96,
+	(q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4177, (q15_t)0x6DFD,
+	(q15_t)0x4121, (q15_t)0x6E30, (q15_t)0x40CA, (q15_t)0x6E63,
+	(q15_t)0x4073, (q15_t)0x6E96, (q15_t)0x401D, (q15_t)0x6EC9,
+	(q15_t)0x3FC5, (q15_t)0x6EFB, (q15_t)0x3F6E, (q15_t)0x6F2D,
+	(q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3EBF, (q15_t)0x6F90,
+	(q15_t)0x3E68, (q15_t)0x6FC1, (q15_t)0x3E10, (q15_t)0x6FF2,
+	(q15_t)0x3DB8, (q15_t)0x7023, (q15_t)0x3D60, (q15_t)0x7053,
+	(q15_t)0x3D07, (q15_t)0x7083, (q15_t)0x3CAF, (q15_t)0x70B3,
+	(q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3BFD, (q15_t)0x7112,
+	(q15_t)0x3BA5, (q15_t)0x7141, (q15_t)0x3B4C, (q15_t)0x716F,
+	(q15_t)0x3AF2, (q15_t)0x719E, (q15_t)0x3A99, (q15_t)0x71CC,
+	(q15_t)0x3A40, (q15_t)0x71FA, (q15_t)0x39E6, (q15_t)0x7227,
+	(q15_t)0x398C, (q15_t)0x7255, (q15_t)0x3932, (q15_t)0x7282,
+	(q15_t)0x38D8, (q15_t)0x72AF, (q15_t)0x387E, (q15_t)0x72DB,
+	(q15_t)0x3824, (q15_t)0x7307, (q15_t)0x37CA, (q15_t)0x7333,
+	(q15_t)0x376F, (q15_t)0x735F, (q15_t)0x3714, (q15_t)0x738A,
+	(q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x365F, (q15_t)0x73E0,
+	(q15_t)0x3604, (q15_t)0x740B, (q15_t)0x35A8, (q15_t)0x7435,
+	(q15_t)0x354D, (q15_t)0x745F, (q15_t)0x34F2, (q15_t)0x7489,
+	(q15_t)0x3496, (q15_t)0x74B2, (q15_t)0x343A, (q15_t)0x74DB,
+	(q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x3382, (q15_t)0x752D,
+	(q15_t)0x3326, (q15_t)0x7555, (q15_t)0x32CA, (q15_t)0x757D,
+	(q15_t)0x326E, (q15_t)0x75A5, (q15_t)0x3211, (q15_t)0x75CC,
+	(q15_t)0x31B5, (q15_t)0x75F4, (q15_t)0x3158, (q15_t)0x761B,
+	(q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x309E, (q15_t)0x7668,
+	(q15_t)0x3041, (q15_t)0x768E, (q15_t)0x2FE4, (q15_t)0x76B3,
+	(q15_t)0x2F87, (q15_t)0x76D9, (q15_t)0x2F29, (q15_t)0x76FE,
+	(q15_t)0x2ECC, (q15_t)0x7723, (q15_t)0x2E6E, (q15_t)0x7747,
+	(q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2DB3, (q15_t)0x7790,
+	(q15_t)0x2D55, (q15_t)0x77B4, (q15_t)0x2CF7, (q15_t)0x77D7,
+	(q15_t)0x2C98, (q15_t)0x77FA, (q15_t)0x2C3A, (q15_t)0x781D,
+	(q15_t)0x2BDC, (q15_t)0x7840, (q15_t)0x2B7D, (q15_t)0x7862,
+	(q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2AC0, (q15_t)0x78A6,
+	(q15_t)0x2A61, (q15_t)0x78C7, (q15_t)0x2A02, (q15_t)0x78E8,
+	(q15_t)0x29A3, (q15_t)0x7909, (q15_t)0x2944, (q15_t)0x792A,
+	(q15_t)0x28E5, (q15_t)0x794A, (q15_t)0x2886, (q15_t)0x796A,
+	(q15_t)0x2826, (q15_t)0x798A, (q15_t)0x27C7, (q15_t)0x79A9,
+	(q15_t)0x2767, (q15_t)0x79C8, (q15_t)0x2707, (q15_t)0x79E7,
+	(q15_t)0x26A8, (q15_t)0x7A05, (q15_t)0x2648, (q15_t)0x7A24,
+	(q15_t)0x25E8, (q15_t)0x7A42, (q15_t)0x2588, (q15_t)0x7A5F,
+	(q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x24C7, (q15_t)0x7A9A,
+	(q15_t)0x2467, (q15_t)0x7AB6, (q15_t)0x2407, (q15_t)0x7AD3,
+	(q15_t)0x23A6, (q15_t)0x7AEF, (q15_t)0x2345, (q15_t)0x7B0B,
+	(q15_t)0x22E5, (q15_t)0x7B26, (q15_t)0x2284, (q15_t)0x7B42,
+	(q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x21C2, (q15_t)0x7B77,
+	(q15_t)0x2161, (q15_t)0x7B92, (q15_t)0x2100, (q15_t)0x7BAC,
+	(q15_t)0x209F, (q15_t)0x7BC5, (q15_t)0x203E, (q15_t)0x7BDF,
+	(q15_t)0x1FDC, (q15_t)0x7BF8, (q15_t)0x1F7B, (q15_t)0x7C11,
+	(q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1EB8, (q15_t)0x7C42,
+	(q15_t)0x1E56, (q15_t)0x7C5A, (q15_t)0x1DF5, (q15_t)0x7C71,
+	(q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1D31, (q15_t)0x7CA0,
+	(q15_t)0x1CCF, (q15_t)0x7CB7, (q15_t)0x1C6D, (q15_t)0x7CCD,
+	(q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1BA9, (q15_t)0x7CF9,
+	(q15_t)0x1B47, (q15_t)0x7D0F, (q15_t)0x1AE4, (q15_t)0x7D24,
+	(q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x1A20, (q15_t)0x7D4E,
+	(q15_t)0x19BD, (q15_t)0x7D62, (q15_t)0x195B, (q15_t)0x7D76,
+	(q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x1896, (q15_t)0x7D9D,
+	(q15_t)0x1833, (q15_t)0x7DB0, (q15_t)0x17D0, (q15_t)0x7DC3,
+	(q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x170A, (q15_t)0x7DE8,
+	(q15_t)0x16A8, (q15_t)0x7DFA, (q15_t)0x1645, (q15_t)0x7E0C,
+	(q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x157F, (q15_t)0x7E2E,
+	(q15_t)0x151B, (q15_t)0x7E3F, (q15_t)0x14B8, (q15_t)0x7E4F,
+	(q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x13F2, (q15_t)0x7E6F,
+	(q15_t)0x138E, (q15_t)0x7E7F, (q15_t)0x132B, (q15_t)0x7E8E,
+	(q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1264, (q15_t)0x7EAB,
+	(q15_t)0x1201, (q15_t)0x7EBA, (q15_t)0x119D, (q15_t)0x7EC8,
+	(q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x10D6, (q15_t)0x7EE3,
+	(q15_t)0x1072, (q15_t)0x7EF0, (q15_t)0x100E, (q15_t)0x7EFD,
+	(q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0F47, (q15_t)0x7F15,
+	(q15_t)0x0EE3, (q15_t)0x7F21, (q15_t)0x0E7F, (q15_t)0x7F2D,
+	(q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0DB7, (q15_t)0x7F43,
+	(q15_t)0x0D53, (q15_t)0x7F4D, (q15_t)0x0CEF, (q15_t)0x7F58,
+	(q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0C27, (q15_t)0x7F6B,
+	(q15_t)0x0BC3, (q15_t)0x7F75, (q15_t)0x0B5F, (q15_t)0x7F7E,
+	(q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0A97, (q15_t)0x7F8F,
+	(q15_t)0x0A33, (q15_t)0x7F97, (q15_t)0x09CE, (q15_t)0x7F9F,
+	(q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x0906, (q15_t)0x7FAE,
+	(q15_t)0x08A2, (q15_t)0x7FB5, (q15_t)0x083D, (q15_t)0x7FBC,
+	(q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x0775, (q15_t)0x7FC8,
+	(q15_t)0x0710, (q15_t)0x7FCE, (q15_t)0x06AC, (q15_t)0x7FD3,
+	(q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x05E3, (q15_t)0x7FDD,
+	(q15_t)0x057F, (q15_t)0x7FE1, (q15_t)0x051A, (q15_t)0x7FE5,
+	(q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x0451, (q15_t)0x7FED,
+	(q15_t)0x03ED, (q15_t)0x7FF0, (q15_t)0x0388, (q15_t)0x7FF3,
+	(q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x02BF, (q15_t)0x7FF8,
+	(q15_t)0x025B, (q15_t)0x7FFA, (q15_t)0x01F6, (q15_t)0x7FFC,
+	(q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x012D, (q15_t)0x7FFE,
+	(q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x0064, (q15_t)0x7FFF,
+	(q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFF9B, (q15_t)0x7FFF,
+	(q15_t)0xFF36, (q15_t)0x7FFF, (q15_t)0xFED2, (q15_t)0x7FFE,
+	(q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFE09, (q15_t)0x7FFC,
+	(q15_t)0xFDA4, (q15_t)0x7FFA, (q15_t)0xFD40, (q15_t)0x7FF8,
+	(q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFC77, (q15_t)0x7FF3,
+	(q15_t)0xFC12, (q15_t)0x7FF0, (q15_t)0xFBAE, (q15_t)0x7FED,
+	(q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFAE5, (q15_t)0x7FE5,
+	(q15_t)0xFA80, (q15_t)0x7FE1, (q15_t)0xFA1C, (q15_t)0x7FDD,
+	(q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF953, (q15_t)0x7FD3,
+	(q15_t)0xF8EF, (q15_t)0x7FCE, (q15_t)0xF88A, (q15_t)0x7FC8,
+	(q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF7C2, (q15_t)0x7FBC,
+	(q15_t)0xF75D, (q15_t)0x7FB5, (q15_t)0xF6F9, (q15_t)0x7FAE,
+	(q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF631, (q15_t)0x7F9F,
+	(q15_t)0xF5CC, (q15_t)0x7F97, (q15_t)0xF568, (q15_t)0x7F8F,
+	(q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF4A0, (q15_t)0x7F7E,
+	(q15_t)0xF43C, (q15_t)0x7F75, (q15_t)0xF3D8, (q15_t)0x7F6B,
+	(q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF310, (q15_t)0x7F58,
+	(q15_t)0xF2AC, (q15_t)0x7F4D, (q15_t)0xF248, (q15_t)0x7F43,
+	(q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF180, (q15_t)0x7F2D,
+	(q15_t)0xF11C, (q15_t)0x7F21, (q15_t)0xF0B8, (q15_t)0x7F15,
+	(q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEFF1, (q15_t)0x7EFD,
+	(q15_t)0xEF8D, (q15_t)0x7EF0, (q15_t)0xEF29, (q15_t)0x7EE3,
+	(q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEE62, (q15_t)0x7EC8,
+	(q15_t)0xEDFE, (q15_t)0x7EBA, (q15_t)0xED9B, (q15_t)0x7EAB,
+	(q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xECD4, (q15_t)0x7E8E,
+	(q15_t)0xEC71, (q15_t)0x7E7F, (q15_t)0xEC0D, (q15_t)0x7E6F,
+	(q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEB47, (q15_t)0x7E4F,
+	(q15_t)0xEAE4, (q15_t)0x7E3F, (q15_t)0xEA80, (q15_t)0x7E2E,
+	(q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE9BA, (q15_t)0x7E0C,
+	(q15_t)0xE957, (q15_t)0x7DFA, (q15_t)0xE8F5, (q15_t)0x7DE8,
+	(q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE82F, (q15_t)0x7DC3,
+	(q15_t)0xE7CC, (q15_t)0x7DB0, (q15_t)0xE769, (q15_t)0x7D9D,
+	(q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE6A4, (q15_t)0x7D76,
+	(q15_t)0xE642, (q15_t)0x7D62, (q15_t)0xE5DF, (q15_t)0x7D4E,
+	(q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE51B, (q15_t)0x7D24,
+	(q15_t)0xE4B8, (q15_t)0x7D0F, (q15_t)0xE456, (q15_t)0x7CF9,
+	(q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE392, (q15_t)0x7CCD,
+	(q15_t)0xE330, (q15_t)0x7CB7, (q15_t)0xE2CE, (q15_t)0x7CA0,
+	(q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE20A, (q15_t)0x7C71,
+	(q15_t)0xE1A9, (q15_t)0x7C5A, (q15_t)0xE147, (q15_t)0x7C42,
+	(q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE084, (q15_t)0x7C11,
+	(q15_t)0xE023, (q15_t)0x7BF8, (q15_t)0xDFC1, (q15_t)0x7BDF,
+	(q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDEFF, (q15_t)0x7BAC,
+	(q15_t)0xDE9E, (q15_t)0x7B92, (q15_t)0xDE3D, (q15_t)0x7B77,
+	(q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDD7B, (q15_t)0x7B42,
+	(q15_t)0xDD1A, (q15_t)0x7B26, (q15_t)0xDCBA, (q15_t)0x7B0B,
+	(q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDBF8, (q15_t)0x7AD3,
+	(q15_t)0xDB98, (q15_t)0x7AB6, (q15_t)0xDB38, (q15_t)0x7A9A,
+	(q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDA77, (q15_t)0x7A5F,
+	(q15_t)0xDA17, (q15_t)0x7A42, (q15_t)0xD9B7, (q15_t)0x7A24,
+	(q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD8F8, (q15_t)0x79E7,
+	(q15_t)0xD898, (q15_t)0x79C8, (q15_t)0xD838, (q15_t)0x79A9,
+	(q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD779, (q15_t)0x796A,
+	(q15_t)0xD71A, (q15_t)0x794A, (q15_t)0xD6BB, (q15_t)0x792A,
+	(q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD5FD, (q15_t)0x78E8,
+	(q15_t)0xD59E, (q15_t)0x78C7, (q15_t)0xD53F, (q15_t)0x78A6,
+	(q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD482, (q15_t)0x7862,
+	(q15_t)0xD423, (q15_t)0x7840, (q15_t)0xD3C5, (q15_t)0x781D,
+	(q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD308, (q15_t)0x77D7,
+	(q15_t)0xD2AA, (q15_t)0x77B4, (q15_t)0xD24C, (q15_t)0x7790,
+	(q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD191, (q15_t)0x7747,
+	(q15_t)0xD133, (q15_t)0x7723, (q15_t)0xD0D6, (q15_t)0x76FE,
+	(q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xD01B, (q15_t)0x76B3,
+	(q15_t)0xCFBE, (q15_t)0x768E, (q15_t)0xCF61, (q15_t)0x7668,
+	(q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCEA7, (q15_t)0x761B,
+	(q15_t)0xCE4A, (q15_t)0x75F4, (q15_t)0xCDEE, (q15_t)0x75CC,
+	(q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCD35, (q15_t)0x757D,
+	(q15_t)0xCCD9, (q15_t)0x7555, (q15_t)0xCC7D, (q15_t)0x752D,
+	(q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCBC5, (q15_t)0x74DB,
+	(q15_t)0xCB69, (q15_t)0x74B2, (q15_t)0xCB0D, (q15_t)0x7489,
+	(q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xCA57, (q15_t)0x7435,
+	(q15_t)0xC9FB, (q15_t)0x740B, (q15_t)0xC9A0, (q15_t)0x73E0,
+	(q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC8EB, (q15_t)0x738A,
+	(q15_t)0xC890, (q15_t)0x735F, (q15_t)0xC835, (q15_t)0x7333,
+	(q15_t)0xC7DB, (q15_t)0x7307, (q15_t)0xC781, (q15_t)0x72DB,
+	(q15_t)0xC727, (q15_t)0x72AF, (q15_t)0xC6CD, (q15_t)0x7282,
+	(q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC619, (q15_t)0x7227,
+	(q15_t)0xC5BF, (q15_t)0x71FA, (q15_t)0xC566, (q15_t)0x71CC,
+	(q15_t)0xC50D, (q15_t)0x719E, (q15_t)0xC4B3, (q15_t)0x716F,
+	(q15_t)0xC45A, (q15_t)0x7141, (q15_t)0xC402, (q15_t)0x7112,
+	(q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC350, (q15_t)0x70B3,
+	(q15_t)0xC2F8, (q15_t)0x7083, (q15_t)0xC29F, (q15_t)0x7053,
+	(q15_t)0xC247, (q15_t)0x7023, (q15_t)0xC1EF, (q15_t)0x6FF2,
+	(q15_t)0xC197, (q15_t)0x6FC1, (q15_t)0xC140, (q15_t)0x6F90,
+	(q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xC091, (q15_t)0x6F2D,
+	(q15_t)0xC03A, (q15_t)0x6EFB, (q15_t)0xBFE2, (q15_t)0x6EC9,
+	(q15_t)0xBF8C, (q15_t)0x6E96, (q15_t)0xBF35, (q15_t)0x6E63,
+	(q15_t)0xBEDE, (q15_t)0x6E30, (q15_t)0xBE88, (q15_t)0x6DFD,
+	(q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBDDB, (q15_t)0x6D96,
+	(q15_t)0xBD85, (q15_t)0x6D62, (q15_t)0xBD2F, (q15_t)0x6D2D,
+	(q15_t)0xBCDA, (q15_t)0x6CF9, (q15_t)0xBC84, (q15_t)0x6CC4,
+	(q15_t)0xBC2F, (q15_t)0x6C8F, (q15_t)0xBBDA, (q15_t)0x6C59,
+	(q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBB30, (q15_t)0x6BEE,
+	(q15_t)0xBADB, (q15_t)0x6BB8, (q15_t)0xBA87, (q15_t)0x6B81,
+	(q15_t)0xBA32, (q15_t)0x6B4A, (q15_t)0xB9DE, (q15_t)0x6B13,
+	(q15_t)0xB98A, (q15_t)0x6ADC, (q15_t)0xB936, (q15_t)0x6AA5,
+	(q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB88F, (q15_t)0x6A35,
+	(q15_t)0xB83C, (q15_t)0x69FD, (q15_t)0xB7E9, (q15_t)0x69C4,
+	(q15_t)0xB796, (q15_t)0x698C, (q15_t)0xB743, (q15_t)0x6953,
+	(q15_t)0xB6F0, (q15_t)0x6919, (q15_t)0xB69E, (q15_t)0x68E0,
+	(q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB5F9, (q15_t)0x686C,
+	(q15_t)0xB5A7, (q15_t)0x6832, (q15_t)0xB556, (q15_t)0x67F7,
+	(q15_t)0xB504, (q15_t)0x67BD, (q15_t)0xB4B3, (q15_t)0x6782,
+	(q15_t)0xB461, (q15_t)0x6746, (q15_t)0xB410, (q15_t)0x670B,
+	(q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB36F, (q15_t)0x6693,
+	(q15_t)0xB31E, (q15_t)0x6657, (q15_t)0xB2CE, (q15_t)0x661A,
+	(q15_t)0xB27E, (q15_t)0x65DD, (q15_t)0xB22E, (q15_t)0x65A0,
+	(q15_t)0xB1DE, (q15_t)0x6563, (q15_t)0xB18F, (q15_t)0x6526,
+	(q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB0F0, (q15_t)0x64AA,
+	(q15_t)0xB0A1, (q15_t)0x646C, (q15_t)0xB053, (q15_t)0x642D,
+	(q15_t)0xB004, (q15_t)0x63EF, (q15_t)0xAFB6, (q15_t)0x63B0,
+	(q15_t)0xAF68, (q15_t)0x6371, (q15_t)0xAF1A, (q15_t)0x6331,
+	(q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAE7E, (q15_t)0x62B2,
+	(q15_t)0xAE31, (q15_t)0x6271, (q15_t)0xADE3, (q15_t)0x6231,
+	(q15_t)0xAD96, (q15_t)0x61F1, (q15_t)0xAD4A, (q15_t)0x61B0,
+	(q15_t)0xACFD, (q15_t)0x616F, (q15_t)0xACB1, (q15_t)0x612D,
+	(q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAC18, (q15_t)0x60AA,
+	(q15_t)0xABCC, (q15_t)0x6068, (q15_t)0xAB81, (q15_t)0x6026,
+	(q15_t)0xAB35, (q15_t)0x5FE3, (q15_t)0xAAEA, (q15_t)0x5FA0,
+	(q15_t)0xAA9F, (q15_t)0x5F5E, (q15_t)0xAA54, (q15_t)0x5F1A,
+	(q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA9BF, (q15_t)0x5E93,
+	(q15_t)0xA975, (q15_t)0x5E50, (q15_t)0xA92B, (q15_t)0x5E0B,
+	(q15_t)0xA8E2, (q15_t)0x5DC7, (q15_t)0xA898, (q15_t)0x5D83,
+	(q15_t)0xA84F, (q15_t)0x5D3E, (q15_t)0xA806, (q15_t)0x5CF9,
+	(q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA774, (q15_t)0x5C6E,
+	(q15_t)0xA72B, (q15_t)0x5C29, (q15_t)0xA6E3, (q15_t)0x5BE3,
+	(q15_t)0xA69B, (q15_t)0x5B9D, (q15_t)0xA653, (q15_t)0x5B56,
+	(q15_t)0xA60C, (q15_t)0x5B10, (q15_t)0xA5C4, (q15_t)0x5AC9,
+	(q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA536, (q15_t)0x5A3B,
+	(q15_t)0xA4EF, (q15_t)0x59F3, (q15_t)0xA4A9, (q15_t)0x59AC,
+	(q15_t)0xA462, (q15_t)0x5964, (q15_t)0xA41C, (q15_t)0x591C,
+	(q15_t)0xA3D6, (q15_t)0x58D4, (q15_t)0xA391, (q15_t)0x588B,
+	(q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA306, (q15_t)0x57F9,
+	(q15_t)0xA2C1, (q15_t)0x57B0, (q15_t)0xA27C, (q15_t)0x5767,
+	(q15_t)0xA238, (q15_t)0x571D, (q15_t)0xA1F4, (q15_t)0x56D4,
+	(q15_t)0xA1AF, (q15_t)0x568A, (q15_t)0xA16C, (q15_t)0x5640,
+	(q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA0E5, (q15_t)0x55AB,
+	(q15_t)0xA0A1, (q15_t)0x5560, (q15_t)0xA05F, (q15_t)0x5515,
+	(q15_t)0xA01C, (q15_t)0x54CA, (q15_t)0x9FD9, (q15_t)0x547E,
+	(q15_t)0x9F97, (q15_t)0x5433, (q15_t)0x9F55, (q15_t)0x53E7,
+	(q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9ED2, (q15_t)0x534E,
+	(q15_t)0x9E90, (q15_t)0x5302, (q15_t)0x9E4F, (q15_t)0x52B5,
+	(q15_t)0x9E0E, (q15_t)0x5269, (q15_t)0x9DCE, (q15_t)0x521C,
+	(q15_t)0x9D8E, (q15_t)0x51CE, (q15_t)0x9D4D, (q15_t)0x5181,
+	(q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9CCE, (q15_t)0x50E5,
+	(q15_t)0x9C8E, (q15_t)0x5097, (q15_t)0x9C4F, (q15_t)0x5049,
+	(q15_t)0x9C10, (q15_t)0x4FFB, (q15_t)0x9BD2, (q15_t)0x4FAC,
+	(q15_t)0x9B93, (q15_t)0x4F5E, (q15_t)0x9B55, (q15_t)0x4F0F,
+	(q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9AD9, (q15_t)0x4E70,
+	(q15_t)0x9A9C, (q15_t)0x4E21, (q15_t)0x9A5F, (q15_t)0x4DD1,
+	(q15_t)0x9A22, (q15_t)0x4D81, (q15_t)0x99E5, (q15_t)0x4D31,
+	(q15_t)0x99A8, (q15_t)0x4CE1, (q15_t)0x996C, (q15_t)0x4C90,
+	(q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x98F4, (q15_t)0x4BEF,
+	(q15_t)0x98B9, (q15_t)0x4B9E, (q15_t)0x987D, (q15_t)0x4B4C,
+	(q15_t)0x9842, (q15_t)0x4AFB, (q15_t)0x9808, (q15_t)0x4AA9,
+	(q15_t)0x97CD, (q15_t)0x4A58, (q15_t)0x9793, (q15_t)0x4A06,
+	(q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x971F, (q15_t)0x4961,
+	(q15_t)0x96E6, (q15_t)0x490F, (q15_t)0x96AC, (q15_t)0x48BC,
+	(q15_t)0x9673, (q15_t)0x4869, (q15_t)0x963B, (q15_t)0x4816,
+	(q15_t)0x9602, (q15_t)0x47C3, (q15_t)0x95CA, (q15_t)0x4770,
+	(q15_t)0x9592, (q15_t)0x471C, (q15_t)0x955A, (q15_t)0x46C9,
+	(q15_t)0x9523, (q15_t)0x4675, (q15_t)0x94EC, (q15_t)0x4621,
+	(q15_t)0x94B5, (q15_t)0x45CD, (q15_t)0x947E, (q15_t)0x4578,
+	(q15_t)0x9447, (q15_t)0x4524, (q15_t)0x9411, (q15_t)0x44CF,
+	(q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x93A6, (q15_t)0x4425,
+	(q15_t)0x9370, (q15_t)0x43D0, (q15_t)0x933B, (q15_t)0x437B,
+	(q15_t)0x9306, (q15_t)0x4325, (q15_t)0x92D2, (q15_t)0x42D0,
+	(q15_t)0x929D, (q15_t)0x427A, (q15_t)0x9269, (q15_t)0x4224,
+	(q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x9202, (q15_t)0x4177,
+	(q15_t)0x91CF, (q15_t)0x4121, (q15_t)0x919C, (q15_t)0x40CA,
+	(q15_t)0x9169, (q15_t)0x4073, (q15_t)0x9136, (q15_t)0x401D,
+	(q15_t)0x9104, (q15_t)0x3FC5, (q15_t)0x90D2, (q15_t)0x3F6E,
+	(q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x906F, (q15_t)0x3EBF,
+	(q15_t)0x903E, (q15_t)0x3E68, (q15_t)0x900D, (q15_t)0x3E10,
+	(q15_t)0x8FDC, (q15_t)0x3DB8, (q15_t)0x8FAC, (q15_t)0x3D60,
+	(q15_t)0x8F7C, (q15_t)0x3D07, (q15_t)0x8F4C, (q15_t)0x3CAF,
+	(q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8EED, (q15_t)0x3BFD,
+	(q15_t)0x8EBE, (q15_t)0x3BA5, (q15_t)0x8E90, (q15_t)0x3B4C,
+	(q15_t)0x8E61, (q15_t)0x3AF2, (q15_t)0x8E33, (q15_t)0x3A99,
+	(q15_t)0x8E05, (q15_t)0x3A40, (q15_t)0x8DD8, (q15_t)0x39E6,
+	(q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8D7D, (q15_t)0x3932,
+	(q15_t)0x8D50, (q15_t)0x38D8, (q15_t)0x8D24, (q15_t)0x387E,
+	(q15_t)0x8CF8, (q15_t)0x3824, (q15_t)0x8CCC, (q15_t)0x37CA,
+	(q15_t)0x8CA0, (q15_t)0x376F, (q15_t)0x8C75, (q15_t)0x3714,
+	(q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8C1F, (q15_t)0x365F,
+	(q15_t)0x8BF4, (q15_t)0x3604, (q15_t)0x8BCA, (q15_t)0x35A8,
+	(q15_t)0x8BA0, (q15_t)0x354D, (q15_t)0x8B76, (q15_t)0x34F2,
+	(q15_t)0x8B4D, (q15_t)0x3496, (q15_t)0x8B24, (q15_t)0x343A,
+	(q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8AD2, (q15_t)0x3382,
+	(q15_t)0x8AAA, (q15_t)0x3326, (q15_t)0x8A82, (q15_t)0x32CA,
+	(q15_t)0x8A5A, (q15_t)0x326E, (q15_t)0x8A33, (q15_t)0x3211,
+	(q15_t)0x8A0B, (q15_t)0x31B5, (q15_t)0x89E4, (q15_t)0x3158,
+	(q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8997, (q15_t)0x309E,
+	(q15_t)0x8971, (q15_t)0x3041, (q15_t)0x894C, (q15_t)0x2FE4,
+	(q15_t)0x8926, (q15_t)0x2F87, (q15_t)0x8901, (q15_t)0x2F29,
+	(q15_t)0x88DC, (q15_t)0x2ECC, (q15_t)0x88B8, (q15_t)0x2E6E,
+	(q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x886F, (q15_t)0x2DB3,
+	(q15_t)0x884B, (q15_t)0x2D55, (q15_t)0x8828, (q15_t)0x2CF7,
+	(q15_t)0x8805, (q15_t)0x2C98, (q15_t)0x87E2, (q15_t)0x2C3A,
+	(q15_t)0x87BF, (q15_t)0x2BDC, (q15_t)0x879D, (q15_t)0x2B7D,
+	(q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8759, (q15_t)0x2AC0,
+	(q15_t)0x8738, (q15_t)0x2A61, (q15_t)0x8717, (q15_t)0x2A02,
+	(q15_t)0x86F6, (q15_t)0x29A3, (q15_t)0x86D5, (q15_t)0x2944,
+	(q15_t)0x86B5, (q15_t)0x28E5, (q15_t)0x8695, (q15_t)0x2886,
+	(q15_t)0x8675, (q15_t)0x2826, (q15_t)0x8656, (q15_t)0x27C7,
+	(q15_t)0x8637, (q15_t)0x2767, (q15_t)0x8618, (q15_t)0x2707,
+	(q15_t)0x85FA, (q15_t)0x26A8, (q15_t)0x85DB, (q15_t)0x2648,
+	(q15_t)0x85BD, (q15_t)0x25E8, (q15_t)0x85A0, (q15_t)0x2588,
+	(q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8565, (q15_t)0x24C7,
+	(q15_t)0x8549, (q15_t)0x2467, (q15_t)0x852C, (q15_t)0x2407,
+	(q15_t)0x8510, (q15_t)0x23A6, (q15_t)0x84F4, (q15_t)0x2345,
+	(q15_t)0x84D9, (q15_t)0x22E5, (q15_t)0x84BD, (q15_t)0x2284,
+	(q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x8488, (q15_t)0x21C2,
+	(q15_t)0x846D, (q15_t)0x2161, (q15_t)0x8453, (q15_t)0x2100,
+	(q15_t)0x843A, (q15_t)0x209F, (q15_t)0x8420, (q15_t)0x203E,
+	(q15_t)0x8407, (q15_t)0x1FDC, (q15_t)0x83EE, (q15_t)0x1F7B,
+	(q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x83BD, (q15_t)0x1EB8,
+	(q15_t)0x83A5, (q15_t)0x1E56, (q15_t)0x838E, (q15_t)0x1DF5,
+	(q15_t)0x8376, (q15_t)0x1D93, (q15_t)0x835F, (q15_t)0x1D31,
+	(q15_t)0x8348, (q15_t)0x1CCF, (q15_t)0x8332, (q15_t)0x1C6D,
+	(q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x8306, (q15_t)0x1BA9,
+	(q15_t)0x82F0, (q15_t)0x1B47, (q15_t)0x82DB, (q15_t)0x1AE4,
+	(q15_t)0x82C6, (q15_t)0x1A82, (q15_t)0x82B1, (q15_t)0x1A20,
+	(q15_t)0x829D, (q15_t)0x19BD, (q15_t)0x8289, (q15_t)0x195B,
+	(q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8262, (q15_t)0x1896,
+	(q15_t)0x824F, (q15_t)0x1833, (q15_t)0x823C, (q15_t)0x17D0,
+	(q15_t)0x8229, (q15_t)0x176D, (q15_t)0x8217, (q15_t)0x170A,
+	(q15_t)0x8205, (q15_t)0x16A8, (q15_t)0x81F3, (q15_t)0x1645,
+	(q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81D1, (q15_t)0x157F,
+	(q15_t)0x81C0, (q15_t)0x151B, (q15_t)0x81B0, (q15_t)0x14B8,
+	(q15_t)0x81A0, (q15_t)0x1455, (q15_t)0x8190, (q15_t)0x13F2,
+	(q15_t)0x8180, (q15_t)0x138E, (q15_t)0x8171, (q15_t)0x132B,
+	(q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x8154, (q15_t)0x1264,
+	(q15_t)0x8145, (q15_t)0x1201, (q15_t)0x8137, (q15_t)0x119D,
+	(q15_t)0x812A, (q15_t)0x1139, (q15_t)0x811C, (q15_t)0x10D6,
+	(q15_t)0x810F, (q15_t)0x1072, (q15_t)0x8102, (q15_t)0x100E,
+	(q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80EA, (q15_t)0x0F47,
+	(q15_t)0x80DE, (q15_t)0x0EE3, (q15_t)0x80D2, (q15_t)0x0E7F,
+	(q15_t)0x80C7, (q15_t)0x0E1B, (q15_t)0x80BC, (q15_t)0x0DB7,
+	(q15_t)0x80B2, (q15_t)0x0D53, (q15_t)0x80A7, (q15_t)0x0CEF,
+	(q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8094, (q15_t)0x0C27,
+	(q15_t)0x808A, (q15_t)0x0BC3, (q15_t)0x8081, (q15_t)0x0B5F,
+	(q15_t)0x8078, (q15_t)0x0AFB, (q15_t)0x8070, (q15_t)0x0A97,
+	(q15_t)0x8068, (q15_t)0x0A33, (q15_t)0x8060, (q15_t)0x09CE,
+	(q15_t)0x8058, (q15_t)0x096A, (q15_t)0x8051, (q15_t)0x0906,
+	(q15_t)0x804A, (q15_t)0x08A2, (q15_t)0x8043, (q15_t)0x083D,
+	(q15_t)0x803D, (q15_t)0x07D9, (q15_t)0x8037, (q15_t)0x0775,
+	(q15_t)0x8031, (q15_t)0x0710, (q15_t)0x802C, (q15_t)0x06AC,
+	(q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8022, (q15_t)0x05E3,
+	(q15_t)0x801E, (q15_t)0x057F, (q15_t)0x801A, (q15_t)0x051A,
+	(q15_t)0x8016, (q15_t)0x04B6, (q15_t)0x8012, (q15_t)0x0451,
+	(q15_t)0x800F, (q15_t)0x03ED, (q15_t)0x800C, (q15_t)0x0388,
+	(q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8007, (q15_t)0x02BF,
+	(q15_t)0x8005, (q15_t)0x025B, (q15_t)0x8003, (q15_t)0x01F6,
+	(q15_t)0x8002, (q15_t)0x0192, (q15_t)0x8001, (q15_t)0x012D,
+	(q15_t)0x8000, (q15_t)0x00C9, (q15_t)0x8000, (q15_t)0x0064,
+	(q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8000, (q15_t)0xFF9B,
+	(q15_t)0x8000, (q15_t)0xFF36, (q15_t)0x8001, (q15_t)0xFED2,
+	(q15_t)0x8002, (q15_t)0xFE6D, (q15_t)0x8003, (q15_t)0xFE09,
+	(q15_t)0x8005, (q15_t)0xFDA4, (q15_t)0x8007, (q15_t)0xFD40,
+	(q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x800C, (q15_t)0xFC77,
+	(q15_t)0x800F, (q15_t)0xFC12, (q15_t)0x8012, (q15_t)0xFBAE,
+	(q15_t)0x8016, (q15_t)0xFB49, (q15_t)0x801A, (q15_t)0xFAE5,
+	(q15_t)0x801E, (q15_t)0xFA80, (q15_t)0x8022, (q15_t)0xFA1C,
+	(q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x802C, (q15_t)0xF953,
+	(q15_t)0x8031, (q15_t)0xF8EF, (q15_t)0x8037, (q15_t)0xF88A,
+	(q15_t)0x803D, (q15_t)0xF826, (q15_t)0x8043, (q15_t)0xF7C2,
+	(q15_t)0x804A, (q15_t)0xF75D, (q15_t)0x8051, (q15_t)0xF6F9,
+	(q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8060, (q15_t)0xF631,
+	(q15_t)0x8068, (q15_t)0xF5CC, (q15_t)0x8070, (q15_t)0xF568,
+	(q15_t)0x8078, (q15_t)0xF504, (q15_t)0x8081, (q15_t)0xF4A0,
+	(q15_t)0x808A, (q15_t)0xF43C, (q15_t)0x8094, (q15_t)0xF3D8,
+	(q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80A7, (q15_t)0xF310,
+	(q15_t)0x80B2, (q15_t)0xF2AC, (q15_t)0x80BC, (q15_t)0xF248,
+	(q15_t)0x80C7, (q15_t)0xF1E4, (q15_t)0x80D2, (q15_t)0xF180,
+	(q15_t)0x80DE, (q15_t)0xF11C, (q15_t)0x80EA, (q15_t)0xF0B8,
+	(q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x8102, (q15_t)0xEFF1,
+	(q15_t)0x810F, (q15_t)0xEF8D, (q15_t)0x811C, (q15_t)0xEF29,
+	(q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8137, (q15_t)0xEE62,
+	(q15_t)0x8145, (q15_t)0xEDFE, (q15_t)0x8154, (q15_t)0xED9B,
+	(q15_t)0x8162, (q15_t)0xED37, (q15_t)0x8171, (q15_t)0xECD4,
+	(q15_t)0x8180, (q15_t)0xEC71, (q15_t)0x8190, (q15_t)0xEC0D,
+	(q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81B0, (q15_t)0xEB47,
+	(q15_t)0x81C0, (q15_t)0xEAE4, (q15_t)0x81D1, (q15_t)0xEA80,
+	(q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x81F3, (q15_t)0xE9BA,
+	(q15_t)0x8205, (q15_t)0xE957, (q15_t)0x8217, (q15_t)0xE8F5,
+	(q15_t)0x8229, (q15_t)0xE892, (q15_t)0x823C, (q15_t)0xE82F,
+	(q15_t)0x824F, (q15_t)0xE7CC, (q15_t)0x8262, (q15_t)0xE769,
+	(q15_t)0x8275, (q15_t)0xE707, (q15_t)0x8289, (q15_t)0xE6A4,
+	(q15_t)0x829D, (q15_t)0xE642, (q15_t)0x82B1, (q15_t)0xE5DF,
+	(q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82DB, (q15_t)0xE51B,
+	(q15_t)0x82F0, (q15_t)0xE4B8, (q15_t)0x8306, (q15_t)0xE456,
+	(q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8332, (q15_t)0xE392,
+	(q15_t)0x8348, (q15_t)0xE330, (q15_t)0x835F, (q15_t)0xE2CE,
+	(q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x838E, (q15_t)0xE20A,
+	(q15_t)0x83A5, (q15_t)0xE1A9, (q15_t)0x83BD, (q15_t)0xE147,
+	(q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x83EE, (q15_t)0xE084,
+	(q15_t)0x8407, (q15_t)0xE023, (q15_t)0x8420, (q15_t)0xDFC1,
+	(q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x8453, (q15_t)0xDEFF,
+	(q15_t)0x846D, (q15_t)0xDE9E, (q15_t)0x8488, (q15_t)0xDE3D,
+	(q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84BD, (q15_t)0xDD7B,
+	(q15_t)0x84D9, (q15_t)0xDD1A, (q15_t)0x84F4, (q15_t)0xDCBA,
+	(q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x852C, (q15_t)0xDBF8,
+	(q15_t)0x8549, (q15_t)0xDB98, (q15_t)0x8565, (q15_t)0xDB38,
+	(q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85A0, (q15_t)0xDA77,
+	(q15_t)0x85BD, (q15_t)0xDA17, (q15_t)0x85DB, (q15_t)0xD9B7,
+	(q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8618, (q15_t)0xD8F8,
+	(q15_t)0x8637, (q15_t)0xD898, (q15_t)0x8656, (q15_t)0xD838,
+	(q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x8695, (q15_t)0xD779,
+	(q15_t)0x86B5, (q15_t)0xD71A, (q15_t)0x86D5, (q15_t)0xD6BB,
+	(q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8717, (q15_t)0xD5FD,
+	(q15_t)0x8738, (q15_t)0xD59E, (q15_t)0x8759, (q15_t)0xD53F,
+	(q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x879D, (q15_t)0xD482,
+	(q15_t)0x87BF, (q15_t)0xD423, (q15_t)0x87E2, (q15_t)0xD3C5,
+	(q15_t)0x8805, (q15_t)0xD367, (q15_t)0x8828, (q15_t)0xD308,
+	(q15_t)0x884B, (q15_t)0xD2AA, (q15_t)0x886F, (q15_t)0xD24C,
+	(q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88B8, (q15_t)0xD191,
+	(q15_t)0x88DC, (q15_t)0xD133, (q15_t)0x8901, (q15_t)0xD0D6,
+	(q15_t)0x8926, (q15_t)0xD078, (q15_t)0x894C, (q15_t)0xD01B,
+	(q15_t)0x8971, (q15_t)0xCFBE, (q15_t)0x8997, (q15_t)0xCF61,
+	(q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x89E4, (q15_t)0xCEA7,
+	(q15_t)0x8A0B, (q15_t)0xCE4A, (q15_t)0x8A33, (q15_t)0xCDEE,
+	(q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8A82, (q15_t)0xCD35,
+	(q15_t)0x8AAA, (q15_t)0xCCD9, (q15_t)0x8AD2, (q15_t)0xCC7D,
+	(q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B24, (q15_t)0xCBC5,
+	(q15_t)0x8B4D, (q15_t)0xCB69, (q15_t)0x8B76, (q15_t)0xCB0D,
+	(q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BCA, (q15_t)0xCA57,
+	(q15_t)0x8BF4, (q15_t)0xC9FB, (q15_t)0x8C1F, (q15_t)0xC9A0,
+	(q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8C75, (q15_t)0xC8EB,
+	(q15_t)0x8CA0, (q15_t)0xC890, (q15_t)0x8CCC, (q15_t)0xC835,
+	(q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D24, (q15_t)0xC781,
+	(q15_t)0x8D50, (q15_t)0xC727, (q15_t)0x8D7D, (q15_t)0xC6CD,
+	(q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8DD8, (q15_t)0xC619,
+	(q15_t)0x8E05, (q15_t)0xC5BF, (q15_t)0x8E33, (q15_t)0xC566,
+	(q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8E90, (q15_t)0xC4B3,
+	(q15_t)0x8EBE, (q15_t)0xC45A, (q15_t)0x8EED, (q15_t)0xC402,
+	(q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F4C, (q15_t)0xC350,
+	(q15_t)0x8F7C, (q15_t)0xC2F8, (q15_t)0x8FAC, (q15_t)0xC29F,
+	(q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x900D, (q15_t)0xC1EF,
+	(q15_t)0x903E, (q15_t)0xC197, (q15_t)0x906F, (q15_t)0xC140,
+	(q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x90D2, (q15_t)0xC091,
+	(q15_t)0x9104, (q15_t)0xC03A, (q15_t)0x9136, (q15_t)0xBFE2,
+	(q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x919C, (q15_t)0xBF35,
+	(q15_t)0x91CF, (q15_t)0xBEDE, (q15_t)0x9202, (q15_t)0xBE88,
+	(q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x9269, (q15_t)0xBDDB,
+	(q15_t)0x929D, (q15_t)0xBD85, (q15_t)0x92D2, (q15_t)0xBD2F,
+	(q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x933B, (q15_t)0xBC84,
+	(q15_t)0x9370, (q15_t)0xBC2F, (q15_t)0x93A6, (q15_t)0xBBDA,
+	(q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x9411, (q15_t)0xBB30,
+	(q15_t)0x9447, (q15_t)0xBADB, (q15_t)0x947E, (q15_t)0xBA87,
+	(q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x94EC, (q15_t)0xB9DE,
+	(q15_t)0x9523, (q15_t)0xB98A, (q15_t)0x955A, (q15_t)0xB936,
+	(q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x95CA, (q15_t)0xB88F,
+	(q15_t)0x9602, (q15_t)0xB83C, (q15_t)0x963B, (q15_t)0xB7E9,
+	(q15_t)0x9673, (q15_t)0xB796, (q15_t)0x96AC, (q15_t)0xB743,
+	(q15_t)0x96E6, (q15_t)0xB6F0, (q15_t)0x971F, (q15_t)0xB69E,
+	(q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9793, (q15_t)0xB5F9,
+	(q15_t)0x97CD, (q15_t)0xB5A7, (q15_t)0x9808, (q15_t)0xB556,
+	(q15_t)0x9842, (q15_t)0xB504, (q15_t)0x987D, (q15_t)0xB4B3,
+	(q15_t)0x98B9, (q15_t)0xB461, (q15_t)0x98F4, (q15_t)0xB410,
+	(q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x996C, (q15_t)0xB36F,
+	(q15_t)0x99A8, (q15_t)0xB31E, (q15_t)0x99E5, (q15_t)0xB2CE,
+	(q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A5F, (q15_t)0xB22E,
+	(q15_t)0x9A9C, (q15_t)0xB1DE, (q15_t)0x9AD9, (q15_t)0xB18F,
+	(q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B55, (q15_t)0xB0F0,
+	(q15_t)0x9B93, (q15_t)0xB0A1, (q15_t)0x9BD2, (q15_t)0xB053,
+	(q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C4F, (q15_t)0xAFB6,
+	(q15_t)0x9C8E, (q15_t)0xAF68, (q15_t)0x9CCE, (q15_t)0xAF1A,
+	(q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D4D, (q15_t)0xAE7E,
+	(q15_t)0x9D8E, (q15_t)0xAE31, (q15_t)0x9DCE, (q15_t)0xADE3,
+	(q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E4F, (q15_t)0xAD4A,
+	(q15_t)0x9E90, (q15_t)0xACFD, (q15_t)0x9ED2, (q15_t)0xACB1,
+	(q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F55, (q15_t)0xAC18,
+	(q15_t)0x9F97, (q15_t)0xABCC, (q15_t)0x9FD9, (q15_t)0xAB81,
+	(q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA05F, (q15_t)0xAAEA,
+	(q15_t)0xA0A1, (q15_t)0xAA9F, (q15_t)0xA0E5, (q15_t)0xAA54,
+	(q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA16C, (q15_t)0xA9BF,
+	(q15_t)0xA1AF, (q15_t)0xA975, (q15_t)0xA1F4, (q15_t)0xA92B,
+	(q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA27C, (q15_t)0xA898,
+	(q15_t)0xA2C1, (q15_t)0xA84F, (q15_t)0xA306, (q15_t)0xA806,
+	(q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA391, (q15_t)0xA774,
+	(q15_t)0xA3D6, (q15_t)0xA72B, (q15_t)0xA41C, (q15_t)0xA6E3,
+	(q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA4A9, (q15_t)0xA653,
+	(q15_t)0xA4EF, (q15_t)0xA60C, (q15_t)0xA536, (q15_t)0xA5C4,
+	(q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA5C4, (q15_t)0xA536,
+	(q15_t)0xA60C, (q15_t)0xA4EF, (q15_t)0xA653, (q15_t)0xA4A9,
+	(q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA6E3, (q15_t)0xA41C,
+	(q15_t)0xA72B, (q15_t)0xA3D6, (q15_t)0xA774, (q15_t)0xA391,
+	(q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA806, (q15_t)0xA306,
+	(q15_t)0xA84F, (q15_t)0xA2C1, (q15_t)0xA898, (q15_t)0xA27C,
+	(q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA92B, (q15_t)0xA1F4,
+	(q15_t)0xA975, (q15_t)0xA1AF, (q15_t)0xA9BF, (q15_t)0xA16C,
+	(q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA54, (q15_t)0xA0E5,
+	(q15_t)0xAA9F, (q15_t)0xA0A1, (q15_t)0xAAEA, (q15_t)0xA05F,
+	(q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xAB81, (q15_t)0x9FD9,
+	(q15_t)0xABCC, (q15_t)0x9F97, (q15_t)0xAC18, (q15_t)0x9F55,
+	(q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xACB1, (q15_t)0x9ED2,
+	(q15_t)0xACFD, (q15_t)0x9E90, (q15_t)0xAD4A, (q15_t)0x9E4F,
+	(q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xADE3, (q15_t)0x9DCE,
+	(q15_t)0xAE31, (q15_t)0x9D8E, (q15_t)0xAE7E, (q15_t)0x9D4D,
+	(q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAF1A, (q15_t)0x9CCE,
+	(q15_t)0xAF68, (q15_t)0x9C8E, (q15_t)0xAFB6, (q15_t)0x9C4F,
+	(q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB053, (q15_t)0x9BD2,
+	(q15_t)0xB0A1, (q15_t)0x9B93, (q15_t)0xB0F0, (q15_t)0x9B55,
+	(q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB18F, (q15_t)0x9AD9,
+	(q15_t)0xB1DE, (q15_t)0x9A9C, (q15_t)0xB22E, (q15_t)0x9A5F,
+	(q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB2CE, (q15_t)0x99E5,
+	(q15_t)0xB31E, (q15_t)0x99A8, (q15_t)0xB36F, (q15_t)0x996C,
+	(q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB410, (q15_t)0x98F4,
+	(q15_t)0xB461, (q15_t)0x98B9, (q15_t)0xB4B3, (q15_t)0x987D,
+	(q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB556, (q15_t)0x9808,
+	(q15_t)0xB5A7, (q15_t)0x97CD, (q15_t)0xB5F9, (q15_t)0x9793,
+	(q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB69E, (q15_t)0x971F,
+	(q15_t)0xB6F0, (q15_t)0x96E6, (q15_t)0xB743, (q15_t)0x96AC,
+	(q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB7E9, (q15_t)0x963B,
+	(q15_t)0xB83C, (q15_t)0x9602, (q15_t)0xB88F, (q15_t)0x95CA,
+	(q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB936, (q15_t)0x955A,
+	(q15_t)0xB98A, (q15_t)0x9523, (q15_t)0xB9DE, (q15_t)0x94EC,
+	(q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBA87, (q15_t)0x947E,
+	(q15_t)0xBADB, (q15_t)0x9447, (q15_t)0xBB30, (q15_t)0x9411,
+	(q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBBDA, (q15_t)0x93A6,
+	(q15_t)0xBC2F, (q15_t)0x9370, (q15_t)0xBC84, (q15_t)0x933B,
+	(q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD2F, (q15_t)0x92D2,
+	(q15_t)0xBD85, (q15_t)0x929D, (q15_t)0xBDDB, (q15_t)0x9269,
+	(q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBE88, (q15_t)0x9202,
+	(q15_t)0xBEDE, (q15_t)0x91CF, (q15_t)0xBF35, (q15_t)0x919C,
+	(q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xBFE2, (q15_t)0x9136,
+	(q15_t)0xC03A, (q15_t)0x9104, (q15_t)0xC091, (q15_t)0x90D2,
+	(q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC140, (q15_t)0x906F,
+	(q15_t)0xC197, (q15_t)0x903E, (q15_t)0xC1EF, (q15_t)0x900D,
+	(q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC29F, (q15_t)0x8FAC,
+	(q15_t)0xC2F8, (q15_t)0x8F7C, (q15_t)0xC350, (q15_t)0x8F4C,
+	(q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC402, (q15_t)0x8EED,
+	(q15_t)0xC45A, (q15_t)0x8EBE, (q15_t)0xC4B3, (q15_t)0x8E90,
+	(q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC566, (q15_t)0x8E33,
+	(q15_t)0xC5BF, (q15_t)0x8E05, (q15_t)0xC619, (q15_t)0x8DD8,
+	(q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC6CD, (q15_t)0x8D7D,
+	(q15_t)0xC727, (q15_t)0x8D50, (q15_t)0xC781, (q15_t)0x8D24,
+	(q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC835, (q15_t)0x8CCC,
+	(q15_t)0xC890, (q15_t)0x8CA0, (q15_t)0xC8EB, (q15_t)0x8C75,
+	(q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC9A0, (q15_t)0x8C1F,
+	(q15_t)0xC9FB, (q15_t)0x8BF4, (q15_t)0xCA57, (q15_t)0x8BCA,
+	(q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCB0D, (q15_t)0x8B76,
+	(q15_t)0xCB69, (q15_t)0x8B4D, (q15_t)0xCBC5, (q15_t)0x8B24,
+	(q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCC7D, (q15_t)0x8AD2,
+	(q15_t)0xCCD9, (q15_t)0x8AAA, (q15_t)0xCD35, (q15_t)0x8A82,
+	(q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCDEE, (q15_t)0x8A33,
+	(q15_t)0xCE4A, (q15_t)0x8A0B, (q15_t)0xCEA7, (q15_t)0x89E4,
+	(q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCF61, (q15_t)0x8997,
+	(q15_t)0xCFBE, (q15_t)0x8971, (q15_t)0xD01B, (q15_t)0x894C,
+	(q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD0D6, (q15_t)0x8901,
+	(q15_t)0xD133, (q15_t)0x88DC, (q15_t)0xD191, (q15_t)0x88B8,
+	(q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD24C, (q15_t)0x886F,
+	(q15_t)0xD2AA, (q15_t)0x884B, (q15_t)0xD308, (q15_t)0x8828,
+	(q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD3C5, (q15_t)0x87E2,
+	(q15_t)0xD423, (q15_t)0x87BF, (q15_t)0xD482, (q15_t)0x879D,
+	(q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD53F, (q15_t)0x8759,
+	(q15_t)0xD59E, (q15_t)0x8738, (q15_t)0xD5FD, (q15_t)0x8717,
+	(q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD6BB, (q15_t)0x86D5,
+	(q15_t)0xD71A, (q15_t)0x86B5, (q15_t)0xD779, (q15_t)0x8695,
+	(q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD838, (q15_t)0x8656,
+	(q15_t)0xD898, (q15_t)0x8637, (q15_t)0xD8F8, (q15_t)0x8618,
+	(q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xD9B7, (q15_t)0x85DB,
+	(q15_t)0xDA17, (q15_t)0x85BD, (q15_t)0xDA77, (q15_t)0x85A0,
+	(q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB38, (q15_t)0x8565,
+	(q15_t)0xDB98, (q15_t)0x8549, (q15_t)0xDBF8, (q15_t)0x852C,
+	(q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDCBA, (q15_t)0x84F4,
+	(q15_t)0xDD1A, (q15_t)0x84D9, (q15_t)0xDD7B, (q15_t)0x84BD,
+	(q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE3D, (q15_t)0x8488,
+	(q15_t)0xDE9E, (q15_t)0x846D, (q15_t)0xDEFF, (q15_t)0x8453,
+	(q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xDFC1, (q15_t)0x8420,
+	(q15_t)0xE023, (q15_t)0x8407, (q15_t)0xE084, (q15_t)0x83EE,
+	(q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE147, (q15_t)0x83BD,
+	(q15_t)0xE1A9, (q15_t)0x83A5, (q15_t)0xE20A, (q15_t)0x838E,
+	(q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE2CE, (q15_t)0x835F,
+	(q15_t)0xE330, (q15_t)0x8348, (q15_t)0xE392, (q15_t)0x8332,
+	(q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE456, (q15_t)0x8306,
+	(q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE51B, (q15_t)0x82DB,
+	(q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5DF, (q15_t)0x82B1,
+	(q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE6A4, (q15_t)0x8289,
+	(q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE769, (q15_t)0x8262,
+	(q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE82F, (q15_t)0x823C,
+	(q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8F5, (q15_t)0x8217,
+	(q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE9BA, (q15_t)0x81F3,
+	(q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA80, (q15_t)0x81D1,
+	(q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB47, (q15_t)0x81B0,
+	(q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC0D, (q15_t)0x8190,
+	(q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECD4, (q15_t)0x8171,
+	(q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED9B, (q15_t)0x8154,
+	(q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE62, (q15_t)0x8137,
+	(q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF29, (q15_t)0x811C,
+	(q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFF1, (q15_t)0x8102,
+	(q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF0B8, (q15_t)0x80EA,
+	(q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF180, (q15_t)0x80D2,
+	(q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF248, (q15_t)0x80BC,
+	(q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF310, (q15_t)0x80A7,
+	(q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3D8, (q15_t)0x8094,
+	(q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF4A0, (q15_t)0x8081,
+	(q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF568, (q15_t)0x8070,
+	(q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF631, (q15_t)0x8060,
+	(q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6F9, (q15_t)0x8051,
+	(q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF7C2, (q15_t)0x8043,
+	(q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF88A, (q15_t)0x8037,
+	(q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF953, (q15_t)0x802C,
+	(q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA1C, (q15_t)0x8022,
+	(q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAE5, (q15_t)0x801A,
+	(q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFBAE, (q15_t)0x8012,
+	(q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC77, (q15_t)0x800C,
+	(q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD40, (q15_t)0x8007,
+	(q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFE09, (q15_t)0x8003,
+	(q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFED2, (q15_t)0x8001,
+	(q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF9B, (q15_t)0x8000
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_Q15_4096)
+/**
+  @par
+  Example code for q15 Twiddle factors Generation::
+  @par
+  <pre>for (i = 0; i< 3N/4; i++)
+  {
+     twiddleCoefq15[2*i]   = cos(i * 2*PI/(float)N);
+     twiddleCoefq15[2*i+1] = sin(i * 2*PI/(float)N);
+  } </pre>
+  @par
+  where N = 4096, PI = 3.14159265358979
+  @par
+  Cos and Sin values are interleaved fashion
+  @par
+  Convert Floating point to q15(Fixed point 1.15):
+ 	round(twiddleCoefq15(i) * pow(2, 15))
+ */
+const q15_t twiddleCoef_4096_q15[6144] =
+{
+	(q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0032,
+	(q15_t)0x7FFF, (q15_t)0x0064, (q15_t)0x7FFF, (q15_t)0x0096,
+	(q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x00FB,
+	(q15_t)0x7FFE, (q15_t)0x012D, (q15_t)0x7FFE, (q15_t)0x015F,
+	(q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01C4,
+	(q15_t)0x7FFC, (q15_t)0x01F6, (q15_t)0x7FFB, (q15_t)0x0228,
+	(q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF9, (q15_t)0x028D,
+	(q15_t)0x7FF8, (q15_t)0x02BF, (q15_t)0x7FF7, (q15_t)0x02F1,
+	(q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF4, (q15_t)0x0356,
+	(q15_t)0x7FF3, (q15_t)0x0388, (q15_t)0x7FF2, (q15_t)0x03BA,
+	(q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FEE, (q15_t)0x041F,
+	(q15_t)0x7FED, (q15_t)0x0451, (q15_t)0x7FEB, (q15_t)0x0483,
+	(q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE7, (q15_t)0x04E8,
+	(q15_t)0x7FE5, (q15_t)0x051A, (q15_t)0x7FE3, (q15_t)0x054C,
+	(q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDF, (q15_t)0x05B1,
+	(q15_t)0x7FDD, (q15_t)0x05E3, (q15_t)0x7FDA, (q15_t)0x0615,
+	(q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD6, (q15_t)0x067A,
+	(q15_t)0x7FD3, (q15_t)0x06AC, (q15_t)0x7FD0, (q15_t)0x06DE,
+	(q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FCB, (q15_t)0x0742,
+	(q15_t)0x7FC8, (q15_t)0x0775, (q15_t)0x7FC5, (q15_t)0x07A7,
+	(q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBF, (q15_t)0x080B,
+	(q15_t)0x7FBC, (q15_t)0x083D, (q15_t)0x7FB8, (q15_t)0x086F,
+	(q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FB1, (q15_t)0x08D4,
+	(q15_t)0x7FAE, (q15_t)0x0906, (q15_t)0x7FAA, (q15_t)0x0938,
+	(q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7FA3, (q15_t)0x099C,
+	(q15_t)0x7F9F, (q15_t)0x09CE, (q15_t)0x7F9B, (q15_t)0x0A00,
+	(q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F93, (q15_t)0x0A65,
+	(q15_t)0x7F8F, (q15_t)0x0A97, (q15_t)0x7F8B, (q15_t)0x0AC9,
+	(q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F82, (q15_t)0x0B2D,
+	(q15_t)0x7F7E, (q15_t)0x0B5F, (q15_t)0x7F79, (q15_t)0x0B91,
+	(q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F70, (q15_t)0x0BF5,
+	(q15_t)0x7F6B, (q15_t)0x0C27, (q15_t)0x7F67, (q15_t)0x0C59,
+	(q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F5D, (q15_t)0x0CBD,
+	(q15_t)0x7F58, (q15_t)0x0CEF, (q15_t)0x7F53, (q15_t)0x0D21,
+	(q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F48, (q15_t)0x0D85,
+	(q15_t)0x7F43, (q15_t)0x0DB7, (q15_t)0x7F3D, (q15_t)0x0DE9,
+	(q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F32, (q15_t)0x0E4D,
+	(q15_t)0x7F2D, (q15_t)0x0E7F, (q15_t)0x7F27, (q15_t)0x0EB1,
+	(q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F1B, (q15_t)0x0F15,
+	(q15_t)0x7F15, (q15_t)0x0F47, (q15_t)0x7F0F, (q15_t)0x0F79,
+	(q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7F03, (q15_t)0x0FDD,
+	(q15_t)0x7EFD, (q15_t)0x100E, (q15_t)0x7EF6, (q15_t)0x1040,
+	(q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE9, (q15_t)0x10A4,
+	(q15_t)0x7EE3, (q15_t)0x10D6, (q15_t)0x7EDC, (q15_t)0x1108,
+	(q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7ECF, (q15_t)0x116B,
+	(q15_t)0x7EC8, (q15_t)0x119D, (q15_t)0x7EC1, (q15_t)0x11CF,
+	(q15_t)0x7EBA, (q15_t)0x1201, (q15_t)0x7EB3, (q15_t)0x1232,
+	(q15_t)0x7EAB, (q15_t)0x1264, (q15_t)0x7EA4, (q15_t)0x1296,
+	(q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E95, (q15_t)0x12F9,
+	(q15_t)0x7E8E, (q15_t)0x132B, (q15_t)0x7E86, (q15_t)0x135D,
+	(q15_t)0x7E7F, (q15_t)0x138E, (q15_t)0x7E77, (q15_t)0x13C0,
+	(q15_t)0x7E6F, (q15_t)0x13F2, (q15_t)0x7E67, (q15_t)0x1423,
+	(q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E57, (q15_t)0x1487,
+	(q15_t)0x7E4F, (q15_t)0x14B8, (q15_t)0x7E47, (q15_t)0x14EA,
+	(q15_t)0x7E3F, (q15_t)0x151B, (q15_t)0x7E37, (q15_t)0x154D,
+	(q15_t)0x7E2E, (q15_t)0x157F, (q15_t)0x7E26, (q15_t)0x15B0,
+	(q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7E14, (q15_t)0x1613,
+	(q15_t)0x7E0C, (q15_t)0x1645, (q15_t)0x7E03, (q15_t)0x1676,
+	(q15_t)0x7DFA, (q15_t)0x16A8, (q15_t)0x7DF1, (q15_t)0x16D9,
+	(q15_t)0x7DE8, (q15_t)0x170A, (q15_t)0x7DDF, (q15_t)0x173C,
+	(q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DCD, (q15_t)0x179F,
+	(q15_t)0x7DC3, (q15_t)0x17D0, (q15_t)0x7DBA, (q15_t)0x1802,
+	(q15_t)0x7DB0, (q15_t)0x1833, (q15_t)0x7DA7, (q15_t)0x1864,
+	(q15_t)0x7D9D, (q15_t)0x1896, (q15_t)0x7D94, (q15_t)0x18C7,
+	(q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D80, (q15_t)0x192A,
+	(q15_t)0x7D76, (q15_t)0x195B, (q15_t)0x7D6C, (q15_t)0x198C,
+	(q15_t)0x7D62, (q15_t)0x19BD, (q15_t)0x7D58, (q15_t)0x19EF,
+	(q15_t)0x7D4E, (q15_t)0x1A20, (q15_t)0x7D43, (q15_t)0x1A51,
+	(q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D2F, (q15_t)0x1AB3,
+	(q15_t)0x7D24, (q15_t)0x1AE4, (q15_t)0x7D19, (q15_t)0x1B16,
+	(q15_t)0x7D0F, (q15_t)0x1B47, (q15_t)0x7D04, (q15_t)0x1B78,
+	(q15_t)0x7CF9, (q15_t)0x1BA9, (q15_t)0x7CEE, (q15_t)0x1BDA,
+	(q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CD8, (q15_t)0x1C3C,
+	(q15_t)0x7CCD, (q15_t)0x1C6D, (q15_t)0x7CC2, (q15_t)0x1C9E,
+	(q15_t)0x7CB7, (q15_t)0x1CCF, (q15_t)0x7CAB, (q15_t)0x1D00,
+	(q15_t)0x7CA0, (q15_t)0x1D31, (q15_t)0x7C94, (q15_t)0x1D62,
+	(q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C7D, (q15_t)0x1DC4,
+	(q15_t)0x7C71, (q15_t)0x1DF5, (q15_t)0x7C66, (q15_t)0x1E25,
+	(q15_t)0x7C5A, (q15_t)0x1E56, (q15_t)0x7C4E, (q15_t)0x1E87,
+	(q15_t)0x7C42, (q15_t)0x1EB8, (q15_t)0x7C36, (q15_t)0x1EE9,
+	(q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7C1D, (q15_t)0x1F4A,
+	(q15_t)0x7C11, (q15_t)0x1F7B, (q15_t)0x7C05, (q15_t)0x1FAC,
+	(q15_t)0x7BF8, (q15_t)0x1FDC, (q15_t)0x7BEB, (q15_t)0x200D,
+	(q15_t)0x7BDF, (q15_t)0x203E, (q15_t)0x7BD2, (q15_t)0x206E,
+	(q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7BB9, (q15_t)0x20D0,
+	(q15_t)0x7BAC, (q15_t)0x2100, (q15_t)0x7B9F, (q15_t)0x2131,
+	(q15_t)0x7B92, (q15_t)0x2161, (q15_t)0x7B84, (q15_t)0x2192,
+	(q15_t)0x7B77, (q15_t)0x21C2, (q15_t)0x7B6A, (q15_t)0x21F3,
+	(q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B4F, (q15_t)0x2254,
+	(q15_t)0x7B42, (q15_t)0x2284, (q15_t)0x7B34, (q15_t)0x22B4,
+	(q15_t)0x7B26, (q15_t)0x22E5, (q15_t)0x7B19, (q15_t)0x2315,
+	(q15_t)0x7B0B, (q15_t)0x2345, (q15_t)0x7AFD, (q15_t)0x2376,
+	(q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AE1, (q15_t)0x23D6,
+	(q15_t)0x7AD3, (q15_t)0x2407, (q15_t)0x7AC5, (q15_t)0x2437,
+	(q15_t)0x7AB6, (q15_t)0x2467, (q15_t)0x7AA8, (q15_t)0x2497,
+	(q15_t)0x7A9A, (q15_t)0x24C7, (q15_t)0x7A8B, (q15_t)0x24F7,
+	(q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A6E, (q15_t)0x2558,
+	(q15_t)0x7A5F, (q15_t)0x2588, (q15_t)0x7A50, (q15_t)0x25B8,
+	(q15_t)0x7A42, (q15_t)0x25E8, (q15_t)0x7A33, (q15_t)0x2618,
+	(q15_t)0x7A24, (q15_t)0x2648, (q15_t)0x7A15, (q15_t)0x2678,
+	(q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79F6, (q15_t)0x26D8,
+	(q15_t)0x79E7, (q15_t)0x2707, (q15_t)0x79D8, (q15_t)0x2737,
+	(q15_t)0x79C8, (q15_t)0x2767, (q15_t)0x79B9, (q15_t)0x2797,
+	(q15_t)0x79A9, (q15_t)0x27C7, (q15_t)0x7999, (q15_t)0x27F6,
+	(q15_t)0x798A, (q15_t)0x2826, (q15_t)0x797A, (q15_t)0x2856,
+	(q15_t)0x796A, (q15_t)0x2886, (q15_t)0x795A, (q15_t)0x28B5,
+	(q15_t)0x794A, (q15_t)0x28E5, (q15_t)0x793A, (q15_t)0x2915,
+	(q15_t)0x792A, (q15_t)0x2944, (q15_t)0x7919, (q15_t)0x2974,
+	(q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78F9, (q15_t)0x29D3,
+	(q15_t)0x78E8, (q15_t)0x2A02, (q15_t)0x78D8, (q15_t)0x2A32,
+	(q15_t)0x78C7, (q15_t)0x2A61, (q15_t)0x78B6, (q15_t)0x2A91,
+	(q15_t)0x78A6, (q15_t)0x2AC0, (q15_t)0x7895, (q15_t)0x2AEF,
+	(q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7873, (q15_t)0x2B4E,
+	(q15_t)0x7862, (q15_t)0x2B7D, (q15_t)0x7851, (q15_t)0x2BAD,
+	(q15_t)0x7840, (q15_t)0x2BDC, (q15_t)0x782E, (q15_t)0x2C0B,
+	(q15_t)0x781D, (q15_t)0x2C3A, (q15_t)0x780C, (q15_t)0x2C69,
+	(q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77E9, (q15_t)0x2CC8,
+	(q15_t)0x77D7, (q15_t)0x2CF7, (q15_t)0x77C5, (q15_t)0x2D26,
+	(q15_t)0x77B4, (q15_t)0x2D55, (q15_t)0x77A2, (q15_t)0x2D84,
+	(q15_t)0x7790, (q15_t)0x2DB3, (q15_t)0x777E, (q15_t)0x2DE2,
+	(q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x775A, (q15_t)0x2E3F,
+	(q15_t)0x7747, (q15_t)0x2E6E, (q15_t)0x7735, (q15_t)0x2E9D,
+	(q15_t)0x7723, (q15_t)0x2ECC, (q15_t)0x7710, (q15_t)0x2EFB,
+	(q15_t)0x76FE, (q15_t)0x2F29, (q15_t)0x76EB, (q15_t)0x2F58,
+	(q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x76C6, (q15_t)0x2FB5,
+	(q15_t)0x76B3, (q15_t)0x2FE4, (q15_t)0x76A0, (q15_t)0x3013,
+	(q15_t)0x768E, (q15_t)0x3041, (q15_t)0x767B, (q15_t)0x3070,
+	(q15_t)0x7668, (q15_t)0x309E, (q15_t)0x7654, (q15_t)0x30CD,
+	(q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x762E, (q15_t)0x312A,
+	(q15_t)0x761B, (q15_t)0x3158, (q15_t)0x7607, (q15_t)0x3186,
+	(q15_t)0x75F4, (q15_t)0x31B5, (q15_t)0x75E0, (q15_t)0x31E3,
+	(q15_t)0x75CC, (q15_t)0x3211, (q15_t)0x75B9, (q15_t)0x3240,
+	(q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x7591, (q15_t)0x329C,
+	(q15_t)0x757D, (q15_t)0x32CA, (q15_t)0x7569, (q15_t)0x32F8,
+	(q15_t)0x7555, (q15_t)0x3326, (q15_t)0x7541, (q15_t)0x3354,
+	(q15_t)0x752D, (q15_t)0x3382, (q15_t)0x7519, (q15_t)0x33B0,
+	(q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74F0, (q15_t)0x340C,
+	(q15_t)0x74DB, (q15_t)0x343A, (q15_t)0x74C7, (q15_t)0x3468,
+	(q15_t)0x74B2, (q15_t)0x3496, (q15_t)0x749E, (q15_t)0x34C4,
+	(q15_t)0x7489, (q15_t)0x34F2, (q15_t)0x7474, (q15_t)0x351F,
+	(q15_t)0x745F, (q15_t)0x354D, (q15_t)0x744A, (q15_t)0x357B,
+	(q15_t)0x7435, (q15_t)0x35A8, (q15_t)0x7420, (q15_t)0x35D6,
+	(q15_t)0x740B, (q15_t)0x3604, (q15_t)0x73F6, (q15_t)0x3631,
+	(q15_t)0x73E0, (q15_t)0x365F, (q15_t)0x73CB, (q15_t)0x368C,
+	(q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x73A0, (q15_t)0x36E7,
+	(q15_t)0x738A, (q15_t)0x3714, (q15_t)0x7375, (q15_t)0x3742,
+	(q15_t)0x735F, (q15_t)0x376F, (q15_t)0x7349, (q15_t)0x379C,
+	(q15_t)0x7333, (q15_t)0x37CA, (q15_t)0x731D, (q15_t)0x37F7,
+	(q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72F1, (q15_t)0x3851,
+	(q15_t)0x72DB, (q15_t)0x387E, (q15_t)0x72C5, (q15_t)0x38AB,
+	(q15_t)0x72AF, (q15_t)0x38D8, (q15_t)0x7298, (q15_t)0x3906,
+	(q15_t)0x7282, (q15_t)0x3932, (q15_t)0x726B, (q15_t)0x395F,
+	(q15_t)0x7255, (q15_t)0x398C, (q15_t)0x723E, (q15_t)0x39B9,
+	(q15_t)0x7227, (q15_t)0x39E6, (q15_t)0x7211, (q15_t)0x3A13,
+	(q15_t)0x71FA, (q15_t)0x3A40, (q15_t)0x71E3, (q15_t)0x3A6C,
+	(q15_t)0x71CC, (q15_t)0x3A99, (q15_t)0x71B5, (q15_t)0x3AC6,
+	(q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x7186, (q15_t)0x3B1F,
+	(q15_t)0x716F, (q15_t)0x3B4C, (q15_t)0x7158, (q15_t)0x3B78,
+	(q15_t)0x7141, (q15_t)0x3BA5, (q15_t)0x7129, (q15_t)0x3BD1,
+	(q15_t)0x7112, (q15_t)0x3BFD, (q15_t)0x70FA, (q15_t)0x3C2A,
+	(q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x70CB, (q15_t)0x3C83,
+	(q15_t)0x70B3, (q15_t)0x3CAF, (q15_t)0x709B, (q15_t)0x3CDB,
+	(q15_t)0x7083, (q15_t)0x3D07, (q15_t)0x706B, (q15_t)0x3D33,
+	(q15_t)0x7053, (q15_t)0x3D60, (q15_t)0x703B, (q15_t)0x3D8C,
+	(q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x700A, (q15_t)0x3DE4,
+	(q15_t)0x6FF2, (q15_t)0x3E10, (q15_t)0x6FDA, (q15_t)0x3E3C,
+	(q15_t)0x6FC1, (q15_t)0x3E68, (q15_t)0x6FA9, (q15_t)0x3E93,
+	(q15_t)0x6F90, (q15_t)0x3EBF, (q15_t)0x6F77, (q15_t)0x3EEB,
+	(q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6F46, (q15_t)0x3F43,
+	(q15_t)0x6F2D, (q15_t)0x3F6E, (q15_t)0x6F14, (q15_t)0x3F9A,
+	(q15_t)0x6EFB, (q15_t)0x3FC5, (q15_t)0x6EE2, (q15_t)0x3FF1,
+	(q15_t)0x6EC9, (q15_t)0x401D, (q15_t)0x6EAF, (q15_t)0x4048,
+	(q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E7D, (q15_t)0x409F,
+	(q15_t)0x6E63, (q15_t)0x40CA, (q15_t)0x6E4A, (q15_t)0x40F6,
+	(q15_t)0x6E30, (q15_t)0x4121, (q15_t)0x6E17, (q15_t)0x414C,
+	(q15_t)0x6DFD, (q15_t)0x4177, (q15_t)0x6DE3, (q15_t)0x41A2,
+	(q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6DB0, (q15_t)0x41F9,
+	(q15_t)0x6D96, (q15_t)0x4224, (q15_t)0x6D7C, (q15_t)0x424F,
+	(q15_t)0x6D62, (q15_t)0x427A, (q15_t)0x6D48, (q15_t)0x42A5,
+	(q15_t)0x6D2D, (q15_t)0x42D0, (q15_t)0x6D13, (q15_t)0x42FA,
+	(q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6CDE, (q15_t)0x4350,
+	(q15_t)0x6CC4, (q15_t)0x437B, (q15_t)0x6CA9, (q15_t)0x43A5,
+	(q15_t)0x6C8F, (q15_t)0x43D0, (q15_t)0x6C74, (q15_t)0x43FB,
+	(q15_t)0x6C59, (q15_t)0x4425, (q15_t)0x6C3F, (q15_t)0x4450,
+	(q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6C09, (q15_t)0x44A5,
+	(q15_t)0x6BEE, (q15_t)0x44CF, (q15_t)0x6BD3, (q15_t)0x44FA,
+	(q15_t)0x6BB8, (q15_t)0x4524, (q15_t)0x6B9C, (q15_t)0x454E,
+	(q15_t)0x6B81, (q15_t)0x4578, (q15_t)0x6B66, (q15_t)0x45A3,
+	(q15_t)0x6B4A, (q15_t)0x45CD, (q15_t)0x6B2F, (q15_t)0x45F7,
+	(q15_t)0x6B13, (q15_t)0x4621, (q15_t)0x6AF8, (q15_t)0x464B,
+	(q15_t)0x6ADC, (q15_t)0x4675, (q15_t)0x6AC1, (q15_t)0x469F,
+	(q15_t)0x6AA5, (q15_t)0x46C9, (q15_t)0x6A89, (q15_t)0x46F3,
+	(q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x6A51, (q15_t)0x4746,
+	(q15_t)0x6A35, (q15_t)0x4770, (q15_t)0x6A19, (q15_t)0x479A,
+	(q15_t)0x69FD, (q15_t)0x47C3, (q15_t)0x69E1, (q15_t)0x47ED,
+	(q15_t)0x69C4, (q15_t)0x4816, (q15_t)0x69A8, (q15_t)0x4840,
+	(q15_t)0x698C, (q15_t)0x4869, (q15_t)0x696F, (q15_t)0x4893,
+	(q15_t)0x6953, (q15_t)0x48BC, (q15_t)0x6936, (q15_t)0x48E6,
+	(q15_t)0x6919, (q15_t)0x490F, (q15_t)0x68FD, (q15_t)0x4938,
+	(q15_t)0x68E0, (q15_t)0x4961, (q15_t)0x68C3, (q15_t)0x498A,
+	(q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x6889, (q15_t)0x49DD,
+	(q15_t)0x686C, (q15_t)0x4A06, (q15_t)0x684F, (q15_t)0x4A2F,
+	(q15_t)0x6832, (q15_t)0x4A58, (q15_t)0x6815, (q15_t)0x4A81,
+	(q15_t)0x67F7, (q15_t)0x4AA9, (q15_t)0x67DA, (q15_t)0x4AD2,
+	(q15_t)0x67BD, (q15_t)0x4AFB, (q15_t)0x679F, (q15_t)0x4B24,
+	(q15_t)0x6782, (q15_t)0x4B4C, (q15_t)0x6764, (q15_t)0x4B75,
+	(q15_t)0x6746, (q15_t)0x4B9E, (q15_t)0x6729, (q15_t)0x4BC6,
+	(q15_t)0x670B, (q15_t)0x4BEF, (q15_t)0x66ED, (q15_t)0x4C17,
+	(q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x66B1, (q15_t)0x4C68,
+	(q15_t)0x6693, (q15_t)0x4C90, (q15_t)0x6675, (q15_t)0x4CB8,
+	(q15_t)0x6657, (q15_t)0x4CE1, (q15_t)0x6639, (q15_t)0x4D09,
+	(q15_t)0x661A, (q15_t)0x4D31, (q15_t)0x65FC, (q15_t)0x4D59,
+	(q15_t)0x65DD, (q15_t)0x4D81, (q15_t)0x65BF, (q15_t)0x4DA9,
+	(q15_t)0x65A0, (q15_t)0x4DD1, (q15_t)0x6582, (q15_t)0x4DF9,
+	(q15_t)0x6563, (q15_t)0x4E21, (q15_t)0x6545, (q15_t)0x4E48,
+	(q15_t)0x6526, (q15_t)0x4E70, (q15_t)0x6507, (q15_t)0x4E98,
+	(q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x64C9, (q15_t)0x4EE7,
+	(q15_t)0x64AA, (q15_t)0x4F0F, (q15_t)0x648B, (q15_t)0x4F36,
+	(q15_t)0x646C, (q15_t)0x4F5E, (q15_t)0x644D, (q15_t)0x4F85,
+	(q15_t)0x642D, (q15_t)0x4FAC, (q15_t)0x640E, (q15_t)0x4FD4,
+	(q15_t)0x63EF, (q15_t)0x4FFB, (q15_t)0x63CF, (q15_t)0x5022,
+	(q15_t)0x63B0, (q15_t)0x5049, (q15_t)0x6390, (q15_t)0x5070,
+	(q15_t)0x6371, (q15_t)0x5097, (q15_t)0x6351, (q15_t)0x50BF,
+	(q15_t)0x6331, (q15_t)0x50E5, (q15_t)0x6311, (q15_t)0x510C,
+	(q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x62D2, (q15_t)0x515A,
+	(q15_t)0x62B2, (q15_t)0x5181, (q15_t)0x6292, (q15_t)0x51A8,
+	(q15_t)0x6271, (q15_t)0x51CE, (q15_t)0x6251, (q15_t)0x51F5,
+	(q15_t)0x6231, (q15_t)0x521C, (q15_t)0x6211, (q15_t)0x5242,
+	(q15_t)0x61F1, (q15_t)0x5269, (q15_t)0x61D0, (q15_t)0x528F,
+	(q15_t)0x61B0, (q15_t)0x52B5, (q15_t)0x618F, (q15_t)0x52DC,
+	(q15_t)0x616F, (q15_t)0x5302, (q15_t)0x614E, (q15_t)0x5328,
+	(q15_t)0x612D, (q15_t)0x534E, (q15_t)0x610D, (q15_t)0x5375,
+	(q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x60CB, (q15_t)0x53C1,
+	(q15_t)0x60AA, (q15_t)0x53E7, (q15_t)0x6089, (q15_t)0x540D,
+	(q15_t)0x6068, (q15_t)0x5433, (q15_t)0x6047, (q15_t)0x5458,
+	(q15_t)0x6026, (q15_t)0x547E, (q15_t)0x6004, (q15_t)0x54A4,
+	(q15_t)0x5FE3, (q15_t)0x54CA, (q15_t)0x5FC2, (q15_t)0x54EF,
+	(q15_t)0x5FA0, (q15_t)0x5515, (q15_t)0x5F7F, (q15_t)0x553A,
+	(q15_t)0x5F5E, (q15_t)0x5560, (q15_t)0x5F3C, (q15_t)0x5585,
+	(q15_t)0x5F1A, (q15_t)0x55AB, (q15_t)0x5EF9, (q15_t)0x55D0,
+	(q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5EB5, (q15_t)0x561A,
+	(q15_t)0x5E93, (q15_t)0x5640, (q15_t)0x5E71, (q15_t)0x5665,
+	(q15_t)0x5E50, (q15_t)0x568A, (q15_t)0x5E2D, (q15_t)0x56AF,
+	(q15_t)0x5E0B, (q15_t)0x56D4, (q15_t)0x5DE9, (q15_t)0x56F9,
+	(q15_t)0x5DC7, (q15_t)0x571D, (q15_t)0x5DA5, (q15_t)0x5742,
+	(q15_t)0x5D83, (q15_t)0x5767, (q15_t)0x5D60, (q15_t)0x578C,
+	(q15_t)0x5D3E, (q15_t)0x57B0, (q15_t)0x5D1B, (q15_t)0x57D5,
+	(q15_t)0x5CF9, (q15_t)0x57F9, (q15_t)0x5CD6, (q15_t)0x581E,
+	(q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5C91, (q15_t)0x5867,
+	(q15_t)0x5C6E, (q15_t)0x588B, (q15_t)0x5C4B, (q15_t)0x58AF,
+	(q15_t)0x5C29, (q15_t)0x58D4, (q15_t)0x5C06, (q15_t)0x58F8,
+	(q15_t)0x5BE3, (q15_t)0x591C, (q15_t)0x5BC0, (q15_t)0x5940,
+	(q15_t)0x5B9D, (q15_t)0x5964, (q15_t)0x5B79, (q15_t)0x5988,
+	(q15_t)0x5B56, (q15_t)0x59AC, (q15_t)0x5B33, (q15_t)0x59D0,
+	(q15_t)0x5B10, (q15_t)0x59F3, (q15_t)0x5AEC, (q15_t)0x5A17,
+	(q15_t)0x5AC9, (q15_t)0x5A3B, (q15_t)0x5AA5, (q15_t)0x5A5E,
+	(q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5A5E, (q15_t)0x5AA5,
+	(q15_t)0x5A3B, (q15_t)0x5AC9, (q15_t)0x5A17, (q15_t)0x5AEC,
+	(q15_t)0x59F3, (q15_t)0x5B10, (q15_t)0x59D0, (q15_t)0x5B33,
+	(q15_t)0x59AC, (q15_t)0x5B56, (q15_t)0x5988, (q15_t)0x5B79,
+	(q15_t)0x5964, (q15_t)0x5B9D, (q15_t)0x5940, (q15_t)0x5BC0,
+	(q15_t)0x591C, (q15_t)0x5BE3, (q15_t)0x58F8, (q15_t)0x5C06,
+	(q15_t)0x58D4, (q15_t)0x5C29, (q15_t)0x58AF, (q15_t)0x5C4B,
+	(q15_t)0x588B, (q15_t)0x5C6E, (q15_t)0x5867, (q15_t)0x5C91,
+	(q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x581E, (q15_t)0x5CD6,
+	(q15_t)0x57F9, (q15_t)0x5CF9, (q15_t)0x57D5, (q15_t)0x5D1B,
+	(q15_t)0x57B0, (q15_t)0x5D3E, (q15_t)0x578C, (q15_t)0x5D60,
+	(q15_t)0x5767, (q15_t)0x5D83, (q15_t)0x5742, (q15_t)0x5DA5,
+	(q15_t)0x571D, (q15_t)0x5DC7, (q15_t)0x56F9, (q15_t)0x5DE9,
+	(q15_t)0x56D4, (q15_t)0x5E0B, (q15_t)0x56AF, (q15_t)0x5E2D,
+	(q15_t)0x568A, (q15_t)0x5E50, (q15_t)0x5665, (q15_t)0x5E71,
+	(q15_t)0x5640, (q15_t)0x5E93, (q15_t)0x561A, (q15_t)0x5EB5,
+	(q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x55D0, (q15_t)0x5EF9,
+	(q15_t)0x55AB, (q15_t)0x5F1A, (q15_t)0x5585, (q15_t)0x5F3C,
+	(q15_t)0x5560, (q15_t)0x5F5E, (q15_t)0x553A, (q15_t)0x5F7F,
+	(q15_t)0x5515, (q15_t)0x5FA0, (q15_t)0x54EF, (q15_t)0x5FC2,
+	(q15_t)0x54CA, (q15_t)0x5FE3, (q15_t)0x54A4, (q15_t)0x6004,
+	(q15_t)0x547E, (q15_t)0x6026, (q15_t)0x5458, (q15_t)0x6047,
+	(q15_t)0x5433, (q15_t)0x6068, (q15_t)0x540D, (q15_t)0x6089,
+	(q15_t)0x53E7, (q15_t)0x60AA, (q15_t)0x53C1, (q15_t)0x60CB,
+	(q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5375, (q15_t)0x610D,
+	(q15_t)0x534E, (q15_t)0x612D, (q15_t)0x5328, (q15_t)0x614E,
+	(q15_t)0x5302, (q15_t)0x616F, (q15_t)0x52DC, (q15_t)0x618F,
+	(q15_t)0x52B5, (q15_t)0x61B0, (q15_t)0x528F, (q15_t)0x61D0,
+	(q15_t)0x5269, (q15_t)0x61F1, (q15_t)0x5242, (q15_t)0x6211,
+	(q15_t)0x521C, (q15_t)0x6231, (q15_t)0x51F5, (q15_t)0x6251,
+	(q15_t)0x51CE, (q15_t)0x6271, (q15_t)0x51A8, (q15_t)0x6292,
+	(q15_t)0x5181, (q15_t)0x62B2, (q15_t)0x515A, (q15_t)0x62D2,
+	(q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x510C, (q15_t)0x6311,
+	(q15_t)0x50E5, (q15_t)0x6331, (q15_t)0x50BF, (q15_t)0x6351,
+	(q15_t)0x5097, (q15_t)0x6371, (q15_t)0x5070, (q15_t)0x6390,
+	(q15_t)0x5049, (q15_t)0x63B0, (q15_t)0x5022, (q15_t)0x63CF,
+	(q15_t)0x4FFB, (q15_t)0x63EF, (q15_t)0x4FD4, (q15_t)0x640E,
+	(q15_t)0x4FAC, (q15_t)0x642D, (q15_t)0x4F85, (q15_t)0x644D,
+	(q15_t)0x4F5E, (q15_t)0x646C, (q15_t)0x4F36, (q15_t)0x648B,
+	(q15_t)0x4F0F, (q15_t)0x64AA, (q15_t)0x4EE7, (q15_t)0x64C9,
+	(q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4E98, (q15_t)0x6507,
+	(q15_t)0x4E70, (q15_t)0x6526, (q15_t)0x4E48, (q15_t)0x6545,
+	(q15_t)0x4E21, (q15_t)0x6563, (q15_t)0x4DF9, (q15_t)0x6582,
+	(q15_t)0x4DD1, (q15_t)0x65A0, (q15_t)0x4DA9, (q15_t)0x65BF,
+	(q15_t)0x4D81, (q15_t)0x65DD, (q15_t)0x4D59, (q15_t)0x65FC,
+	(q15_t)0x4D31, (q15_t)0x661A, (q15_t)0x4D09, (q15_t)0x6639,
+	(q15_t)0x4CE1, (q15_t)0x6657, (q15_t)0x4CB8, (q15_t)0x6675,
+	(q15_t)0x4C90, (q15_t)0x6693, (q15_t)0x4C68, (q15_t)0x66B1,
+	(q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4C17, (q15_t)0x66ED,
+	(q15_t)0x4BEF, (q15_t)0x670B, (q15_t)0x4BC6, (q15_t)0x6729,
+	(q15_t)0x4B9E, (q15_t)0x6746, (q15_t)0x4B75, (q15_t)0x6764,
+	(q15_t)0x4B4C, (q15_t)0x6782, (q15_t)0x4B24, (q15_t)0x679F,
+	(q15_t)0x4AFB, (q15_t)0x67BD, (q15_t)0x4AD2, (q15_t)0x67DA,
+	(q15_t)0x4AA9, (q15_t)0x67F7, (q15_t)0x4A81, (q15_t)0x6815,
+	(q15_t)0x4A58, (q15_t)0x6832, (q15_t)0x4A2F, (q15_t)0x684F,
+	(q15_t)0x4A06, (q15_t)0x686C, (q15_t)0x49DD, (q15_t)0x6889,
+	(q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x498A, (q15_t)0x68C3,
+	(q15_t)0x4961, (q15_t)0x68E0, (q15_t)0x4938, (q15_t)0x68FD,
+	(q15_t)0x490F, (q15_t)0x6919, (q15_t)0x48E6, (q15_t)0x6936,
+	(q15_t)0x48BC, (q15_t)0x6953, (q15_t)0x4893, (q15_t)0x696F,
+	(q15_t)0x4869, (q15_t)0x698C, (q15_t)0x4840, (q15_t)0x69A8,
+	(q15_t)0x4816, (q15_t)0x69C4, (q15_t)0x47ED, (q15_t)0x69E1,
+	(q15_t)0x47C3, (q15_t)0x69FD, (q15_t)0x479A, (q15_t)0x6A19,
+	(q15_t)0x4770, (q15_t)0x6A35, (q15_t)0x4746, (q15_t)0x6A51,
+	(q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x46F3, (q15_t)0x6A89,
+	(q15_t)0x46C9, (q15_t)0x6AA5, (q15_t)0x469F, (q15_t)0x6AC1,
+	(q15_t)0x4675, (q15_t)0x6ADC, (q15_t)0x464B, (q15_t)0x6AF8,
+	(q15_t)0x4621, (q15_t)0x6B13, (q15_t)0x45F7, (q15_t)0x6B2F,
+	(q15_t)0x45CD, (q15_t)0x6B4A, (q15_t)0x45A3, (q15_t)0x6B66,
+	(q15_t)0x4578, (q15_t)0x6B81, (q15_t)0x454E, (q15_t)0x6B9C,
+	(q15_t)0x4524, (q15_t)0x6BB8, (q15_t)0x44FA, (q15_t)0x6BD3,
+	(q15_t)0x44CF, (q15_t)0x6BEE, (q15_t)0x44A5, (q15_t)0x6C09,
+	(q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x4450, (q15_t)0x6C3F,
+	(q15_t)0x4425, (q15_t)0x6C59, (q15_t)0x43FB, (q15_t)0x6C74,
+	(q15_t)0x43D0, (q15_t)0x6C8F, (q15_t)0x43A5, (q15_t)0x6CA9,
+	(q15_t)0x437B, (q15_t)0x6CC4, (q15_t)0x4350, (q15_t)0x6CDE,
+	(q15_t)0x4325, (q15_t)0x6CF9, (q15_t)0x42FA, (q15_t)0x6D13,
+	(q15_t)0x42D0, (q15_t)0x6D2D, (q15_t)0x42A5, (q15_t)0x6D48,
+	(q15_t)0x427A, (q15_t)0x6D62, (q15_t)0x424F, (q15_t)0x6D7C,
+	(q15_t)0x4224, (q15_t)0x6D96, (q15_t)0x41F9, (q15_t)0x6DB0,
+	(q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x41A2, (q15_t)0x6DE3,
+	(q15_t)0x4177, (q15_t)0x6DFD, (q15_t)0x414C, (q15_t)0x6E17,
+	(q15_t)0x4121, (q15_t)0x6E30, (q15_t)0x40F6, (q15_t)0x6E4A,
+	(q15_t)0x40CA, (q15_t)0x6E63, (q15_t)0x409F, (q15_t)0x6E7D,
+	(q15_t)0x4073, (q15_t)0x6E96, (q15_t)0x4048, (q15_t)0x6EAF,
+	(q15_t)0x401D, (q15_t)0x6EC9, (q15_t)0x3FF1, (q15_t)0x6EE2,
+	(q15_t)0x3FC5, (q15_t)0x6EFB, (q15_t)0x3F9A, (q15_t)0x6F14,
+	(q15_t)0x3F6E, (q15_t)0x6F2D, (q15_t)0x3F43, (q15_t)0x6F46,
+	(q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3EEB, (q15_t)0x6F77,
+	(q15_t)0x3EBF, (q15_t)0x6F90, (q15_t)0x3E93, (q15_t)0x6FA9,
+	(q15_t)0x3E68, (q15_t)0x6FC1, (q15_t)0x3E3C, (q15_t)0x6FDA,
+	(q15_t)0x3E10, (q15_t)0x6FF2, (q15_t)0x3DE4, (q15_t)0x700A,
+	(q15_t)0x3DB8, (q15_t)0x7023, (q15_t)0x3D8C, (q15_t)0x703B,
+	(q15_t)0x3D60, (q15_t)0x7053, (q15_t)0x3D33, (q15_t)0x706B,
+	(q15_t)0x3D07, (q15_t)0x7083, (q15_t)0x3CDB, (q15_t)0x709B,
+	(q15_t)0x3CAF, (q15_t)0x70B3, (q15_t)0x3C83, (q15_t)0x70CB,
+	(q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3C2A, (q15_t)0x70FA,
+	(q15_t)0x3BFD, (q15_t)0x7112, (q15_t)0x3BD1, (q15_t)0x7129,
+	(q15_t)0x3BA5, (q15_t)0x7141, (q15_t)0x3B78, (q15_t)0x7158,
+	(q15_t)0x3B4C, (q15_t)0x716F, (q15_t)0x3B1F, (q15_t)0x7186,
+	(q15_t)0x3AF2, (q15_t)0x719E, (q15_t)0x3AC6, (q15_t)0x71B5,
+	(q15_t)0x3A99, (q15_t)0x71CC, (q15_t)0x3A6C, (q15_t)0x71E3,
+	(q15_t)0x3A40, (q15_t)0x71FA, (q15_t)0x3A13, (q15_t)0x7211,
+	(q15_t)0x39E6, (q15_t)0x7227, (q15_t)0x39B9, (q15_t)0x723E,
+	(q15_t)0x398C, (q15_t)0x7255, (q15_t)0x395F, (q15_t)0x726B,
+	(q15_t)0x3932, (q15_t)0x7282, (q15_t)0x3906, (q15_t)0x7298,
+	(q15_t)0x38D8, (q15_t)0x72AF, (q15_t)0x38AB, (q15_t)0x72C5,
+	(q15_t)0x387E, (q15_t)0x72DB, (q15_t)0x3851, (q15_t)0x72F1,
+	(q15_t)0x3824, (q15_t)0x7307, (q15_t)0x37F7, (q15_t)0x731D,
+	(q15_t)0x37CA, (q15_t)0x7333, (q15_t)0x379C, (q15_t)0x7349,
+	(q15_t)0x376F, (q15_t)0x735F, (q15_t)0x3742, (q15_t)0x7375,
+	(q15_t)0x3714, (q15_t)0x738A, (q15_t)0x36E7, (q15_t)0x73A0,
+	(q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x368C, (q15_t)0x73CB,
+	(q15_t)0x365F, (q15_t)0x73E0, (q15_t)0x3631, (q15_t)0x73F6,
+	(q15_t)0x3604, (q15_t)0x740B, (q15_t)0x35D6, (q15_t)0x7420,
+	(q15_t)0x35A8, (q15_t)0x7435, (q15_t)0x357B, (q15_t)0x744A,
+	(q15_t)0x354D, (q15_t)0x745F, (q15_t)0x351F, (q15_t)0x7474,
+	(q15_t)0x34F2, (q15_t)0x7489, (q15_t)0x34C4, (q15_t)0x749E,
+	(q15_t)0x3496, (q15_t)0x74B2, (q15_t)0x3468, (q15_t)0x74C7,
+	(q15_t)0x343A, (q15_t)0x74DB, (q15_t)0x340C, (q15_t)0x74F0,
+	(q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x33B0, (q15_t)0x7519,
+	(q15_t)0x3382, (q15_t)0x752D, (q15_t)0x3354, (q15_t)0x7541,
+	(q15_t)0x3326, (q15_t)0x7555, (q15_t)0x32F8, (q15_t)0x7569,
+	(q15_t)0x32CA, (q15_t)0x757D, (q15_t)0x329C, (q15_t)0x7591,
+	(q15_t)0x326E, (q15_t)0x75A5, (q15_t)0x3240, (q15_t)0x75B9,
+	(q15_t)0x3211, (q15_t)0x75CC, (q15_t)0x31E3, (q15_t)0x75E0,
+	(q15_t)0x31B5, (q15_t)0x75F4, (q15_t)0x3186, (q15_t)0x7607,
+	(q15_t)0x3158, (q15_t)0x761B, (q15_t)0x312A, (q15_t)0x762E,
+	(q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x30CD, (q15_t)0x7654,
+	(q15_t)0x309E, (q15_t)0x7668, (q15_t)0x3070, (q15_t)0x767B,
+	(q15_t)0x3041, (q15_t)0x768E, (q15_t)0x3013, (q15_t)0x76A0,
+	(q15_t)0x2FE4, (q15_t)0x76B3, (q15_t)0x2FB5, (q15_t)0x76C6,
+	(q15_t)0x2F87, (q15_t)0x76D9, (q15_t)0x2F58, (q15_t)0x76EB,
+	(q15_t)0x2F29, (q15_t)0x76FE, (q15_t)0x2EFB, (q15_t)0x7710,
+	(q15_t)0x2ECC, (q15_t)0x7723, (q15_t)0x2E9D, (q15_t)0x7735,
+	(q15_t)0x2E6E, (q15_t)0x7747, (q15_t)0x2E3F, (q15_t)0x775A,
+	(q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2DE2, (q15_t)0x777E,
+	(q15_t)0x2DB3, (q15_t)0x7790, (q15_t)0x2D84, (q15_t)0x77A2,
+	(q15_t)0x2D55, (q15_t)0x77B4, (q15_t)0x2D26, (q15_t)0x77C5,
+	(q15_t)0x2CF7, (q15_t)0x77D7, (q15_t)0x2CC8, (q15_t)0x77E9,
+	(q15_t)0x2C98, (q15_t)0x77FA, (q15_t)0x2C69, (q15_t)0x780C,
+	(q15_t)0x2C3A, (q15_t)0x781D, (q15_t)0x2C0B, (q15_t)0x782E,
+	(q15_t)0x2BDC, (q15_t)0x7840, (q15_t)0x2BAD, (q15_t)0x7851,
+	(q15_t)0x2B7D, (q15_t)0x7862, (q15_t)0x2B4E, (q15_t)0x7873,
+	(q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2AEF, (q15_t)0x7895,
+	(q15_t)0x2AC0, (q15_t)0x78A6, (q15_t)0x2A91, (q15_t)0x78B6,
+	(q15_t)0x2A61, (q15_t)0x78C7, (q15_t)0x2A32, (q15_t)0x78D8,
+	(q15_t)0x2A02, (q15_t)0x78E8, (q15_t)0x29D3, (q15_t)0x78F9,
+	(q15_t)0x29A3, (q15_t)0x7909, (q15_t)0x2974, (q15_t)0x7919,
+	(q15_t)0x2944, (q15_t)0x792A, (q15_t)0x2915, (q15_t)0x793A,
+	(q15_t)0x28E5, (q15_t)0x794A, (q15_t)0x28B5, (q15_t)0x795A,
+	(q15_t)0x2886, (q15_t)0x796A, (q15_t)0x2856, (q15_t)0x797A,
+	(q15_t)0x2826, (q15_t)0x798A, (q15_t)0x27F6, (q15_t)0x7999,
+	(q15_t)0x27C7, (q15_t)0x79A9, (q15_t)0x2797, (q15_t)0x79B9,
+	(q15_t)0x2767, (q15_t)0x79C8, (q15_t)0x2737, (q15_t)0x79D8,
+	(q15_t)0x2707, (q15_t)0x79E7, (q15_t)0x26D8, (q15_t)0x79F6,
+	(q15_t)0x26A8, (q15_t)0x7A05, (q15_t)0x2678, (q15_t)0x7A15,
+	(q15_t)0x2648, (q15_t)0x7A24, (q15_t)0x2618, (q15_t)0x7A33,
+	(q15_t)0x25E8, (q15_t)0x7A42, (q15_t)0x25B8, (q15_t)0x7A50,
+	(q15_t)0x2588, (q15_t)0x7A5F, (q15_t)0x2558, (q15_t)0x7A6E,
+	(q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x24F7, (q15_t)0x7A8B,
+	(q15_t)0x24C7, (q15_t)0x7A9A, (q15_t)0x2497, (q15_t)0x7AA8,
+	(q15_t)0x2467, (q15_t)0x7AB6, (q15_t)0x2437, (q15_t)0x7AC5,
+	(q15_t)0x2407, (q15_t)0x7AD3, (q15_t)0x23D6, (q15_t)0x7AE1,
+	(q15_t)0x23A6, (q15_t)0x7AEF, (q15_t)0x2376, (q15_t)0x7AFD,
+	(q15_t)0x2345, (q15_t)0x7B0B, (q15_t)0x2315, (q15_t)0x7B19,
+	(q15_t)0x22E5, (q15_t)0x7B26, (q15_t)0x22B4, (q15_t)0x7B34,
+	(q15_t)0x2284, (q15_t)0x7B42, (q15_t)0x2254, (q15_t)0x7B4F,
+	(q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x21F3, (q15_t)0x7B6A,
+	(q15_t)0x21C2, (q15_t)0x7B77, (q15_t)0x2192, (q15_t)0x7B84,
+	(q15_t)0x2161, (q15_t)0x7B92, (q15_t)0x2131, (q15_t)0x7B9F,
+	(q15_t)0x2100, (q15_t)0x7BAC, (q15_t)0x20D0, (q15_t)0x7BB9,
+	(q15_t)0x209F, (q15_t)0x7BC5, (q15_t)0x206E, (q15_t)0x7BD2,
+	(q15_t)0x203E, (q15_t)0x7BDF, (q15_t)0x200D, (q15_t)0x7BEB,
+	(q15_t)0x1FDC, (q15_t)0x7BF8, (q15_t)0x1FAC, (q15_t)0x7C05,
+	(q15_t)0x1F7B, (q15_t)0x7C11, (q15_t)0x1F4A, (q15_t)0x7C1D,
+	(q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1EE9, (q15_t)0x7C36,
+	(q15_t)0x1EB8, (q15_t)0x7C42, (q15_t)0x1E87, (q15_t)0x7C4E,
+	(q15_t)0x1E56, (q15_t)0x7C5A, (q15_t)0x1E25, (q15_t)0x7C66,
+	(q15_t)0x1DF5, (q15_t)0x7C71, (q15_t)0x1DC4, (q15_t)0x7C7D,
+	(q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1D62, (q15_t)0x7C94,
+	(q15_t)0x1D31, (q15_t)0x7CA0, (q15_t)0x1D00, (q15_t)0x7CAB,
+	(q15_t)0x1CCF, (q15_t)0x7CB7, (q15_t)0x1C9E, (q15_t)0x7CC2,
+	(q15_t)0x1C6D, (q15_t)0x7CCD, (q15_t)0x1C3C, (q15_t)0x7CD8,
+	(q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1BDA, (q15_t)0x7CEE,
+	(q15_t)0x1BA9, (q15_t)0x7CF9, (q15_t)0x1B78, (q15_t)0x7D04,
+	(q15_t)0x1B47, (q15_t)0x7D0F, (q15_t)0x1B16, (q15_t)0x7D19,
+	(q15_t)0x1AE4, (q15_t)0x7D24, (q15_t)0x1AB3, (q15_t)0x7D2F,
+	(q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x1A51, (q15_t)0x7D43,
+	(q15_t)0x1A20, (q15_t)0x7D4E, (q15_t)0x19EF, (q15_t)0x7D58,
+	(q15_t)0x19BD, (q15_t)0x7D62, (q15_t)0x198C, (q15_t)0x7D6C,
+	(q15_t)0x195B, (q15_t)0x7D76, (q15_t)0x192A, (q15_t)0x7D80,
+	(q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x18C7, (q15_t)0x7D94,
+	(q15_t)0x1896, (q15_t)0x7D9D, (q15_t)0x1864, (q15_t)0x7DA7,
+	(q15_t)0x1833, (q15_t)0x7DB0, (q15_t)0x1802, (q15_t)0x7DBA,
+	(q15_t)0x17D0, (q15_t)0x7DC3, (q15_t)0x179F, (q15_t)0x7DCD,
+	(q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x173C, (q15_t)0x7DDF,
+	(q15_t)0x170A, (q15_t)0x7DE8, (q15_t)0x16D9, (q15_t)0x7DF1,
+	(q15_t)0x16A8, (q15_t)0x7DFA, (q15_t)0x1676, (q15_t)0x7E03,
+	(q15_t)0x1645, (q15_t)0x7E0C, (q15_t)0x1613, (q15_t)0x7E14,
+	(q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x15B0, (q15_t)0x7E26,
+	(q15_t)0x157F, (q15_t)0x7E2E, (q15_t)0x154D, (q15_t)0x7E37,
+	(q15_t)0x151B, (q15_t)0x7E3F, (q15_t)0x14EA, (q15_t)0x7E47,
+	(q15_t)0x14B8, (q15_t)0x7E4F, (q15_t)0x1487, (q15_t)0x7E57,
+	(q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x1423, (q15_t)0x7E67,
+	(q15_t)0x13F2, (q15_t)0x7E6F, (q15_t)0x13C0, (q15_t)0x7E77,
+	(q15_t)0x138E, (q15_t)0x7E7F, (q15_t)0x135D, (q15_t)0x7E86,
+	(q15_t)0x132B, (q15_t)0x7E8E, (q15_t)0x12F9, (q15_t)0x7E95,
+	(q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1296, (q15_t)0x7EA4,
+	(q15_t)0x1264, (q15_t)0x7EAB, (q15_t)0x1232, (q15_t)0x7EB3,
+	(q15_t)0x1201, (q15_t)0x7EBA, (q15_t)0x11CF, (q15_t)0x7EC1,
+	(q15_t)0x119D, (q15_t)0x7EC8, (q15_t)0x116B, (q15_t)0x7ECF,
+	(q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x1108, (q15_t)0x7EDC,
+	(q15_t)0x10D6, (q15_t)0x7EE3, (q15_t)0x10A4, (q15_t)0x7EE9,
+	(q15_t)0x1072, (q15_t)0x7EF0, (q15_t)0x1040, (q15_t)0x7EF6,
+	(q15_t)0x100E, (q15_t)0x7EFD, (q15_t)0x0FDD, (q15_t)0x7F03,
+	(q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0F79, (q15_t)0x7F0F,
+	(q15_t)0x0F47, (q15_t)0x7F15, (q15_t)0x0F15, (q15_t)0x7F1B,
+	(q15_t)0x0EE3, (q15_t)0x7F21, (q15_t)0x0EB1, (q15_t)0x7F27,
+	(q15_t)0x0E7F, (q15_t)0x7F2D, (q15_t)0x0E4D, (q15_t)0x7F32,
+	(q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0DE9, (q15_t)0x7F3D,
+	(q15_t)0x0DB7, (q15_t)0x7F43, (q15_t)0x0D85, (q15_t)0x7F48,
+	(q15_t)0x0D53, (q15_t)0x7F4D, (q15_t)0x0D21, (q15_t)0x7F53,
+	(q15_t)0x0CEF, (q15_t)0x7F58, (q15_t)0x0CBD, (q15_t)0x7F5D,
+	(q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0C59, (q15_t)0x7F67,
+	(q15_t)0x0C27, (q15_t)0x7F6B, (q15_t)0x0BF5, (q15_t)0x7F70,
+	(q15_t)0x0BC3, (q15_t)0x7F75, (q15_t)0x0B91, (q15_t)0x7F79,
+	(q15_t)0x0B5F, (q15_t)0x7F7E, (q15_t)0x0B2D, (q15_t)0x7F82,
+	(q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0AC9, (q15_t)0x7F8B,
+	(q15_t)0x0A97, (q15_t)0x7F8F, (q15_t)0x0A65, (q15_t)0x7F93,
+	(q15_t)0x0A33, (q15_t)0x7F97, (q15_t)0x0A00, (q15_t)0x7F9B,
+	(q15_t)0x09CE, (q15_t)0x7F9F, (q15_t)0x099C, (q15_t)0x7FA3,
+	(q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x0938, (q15_t)0x7FAA,
+	(q15_t)0x0906, (q15_t)0x7FAE, (q15_t)0x08D4, (q15_t)0x7FB1,
+	(q15_t)0x08A2, (q15_t)0x7FB5, (q15_t)0x086F, (q15_t)0x7FB8,
+	(q15_t)0x083D, (q15_t)0x7FBC, (q15_t)0x080B, (q15_t)0x7FBF,
+	(q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x07A7, (q15_t)0x7FC5,
+	(q15_t)0x0775, (q15_t)0x7FC8, (q15_t)0x0742, (q15_t)0x7FCB,
+	(q15_t)0x0710, (q15_t)0x7FCE, (q15_t)0x06DE, (q15_t)0x7FD0,
+	(q15_t)0x06AC, (q15_t)0x7FD3, (q15_t)0x067A, (q15_t)0x7FD6,
+	(q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x0615, (q15_t)0x7FDA,
+	(q15_t)0x05E3, (q15_t)0x7FDD, (q15_t)0x05B1, (q15_t)0x7FDF,
+	(q15_t)0x057F, (q15_t)0x7FE1, (q15_t)0x054C, (q15_t)0x7FE3,
+	(q15_t)0x051A, (q15_t)0x7FE5, (q15_t)0x04E8, (q15_t)0x7FE7,
+	(q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x0483, (q15_t)0x7FEB,
+	(q15_t)0x0451, (q15_t)0x7FED, (q15_t)0x041F, (q15_t)0x7FEE,
+	(q15_t)0x03ED, (q15_t)0x7FF0, (q15_t)0x03BA, (q15_t)0x7FF2,
+	(q15_t)0x0388, (q15_t)0x7FF3, (q15_t)0x0356, (q15_t)0x7FF4,
+	(q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x02F1, (q15_t)0x7FF7,
+	(q15_t)0x02BF, (q15_t)0x7FF8, (q15_t)0x028D, (q15_t)0x7FF9,
+	(q15_t)0x025B, (q15_t)0x7FFA, (q15_t)0x0228, (q15_t)0x7FFB,
+	(q15_t)0x01F6, (q15_t)0x7FFC, (q15_t)0x01C4, (q15_t)0x7FFC,
+	(q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x015F, (q15_t)0x7FFE,
+	(q15_t)0x012D, (q15_t)0x7FFE, (q15_t)0x00FB, (q15_t)0x7FFF,
+	(q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x0096, (q15_t)0x7FFF,
+	(q15_t)0x0064, (q15_t)0x7FFF, (q15_t)0x0032, (q15_t)0x7FFF,
+	(q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFFCD, (q15_t)0x7FFF,
+	(q15_t)0xFF9B, (q15_t)0x7FFF, (q15_t)0xFF69, (q15_t)0x7FFF,
+	(q15_t)0xFF36, (q15_t)0x7FFF, (q15_t)0xFF04, (q15_t)0x7FFF,
+	(q15_t)0xFED2, (q15_t)0x7FFE, (q15_t)0xFEA0, (q15_t)0x7FFE,
+	(q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFE3B, (q15_t)0x7FFC,
+	(q15_t)0xFE09, (q15_t)0x7FFC, (q15_t)0xFDD7, (q15_t)0x7FFB,
+	(q15_t)0xFDA4, (q15_t)0x7FFA, (q15_t)0xFD72, (q15_t)0x7FF9,
+	(q15_t)0xFD40, (q15_t)0x7FF8, (q15_t)0xFD0E, (q15_t)0x7FF7,
+	(q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFCA9, (q15_t)0x7FF4,
+	(q15_t)0xFC77, (q15_t)0x7FF3, (q15_t)0xFC45, (q15_t)0x7FF2,
+	(q15_t)0xFC12, (q15_t)0x7FF0, (q15_t)0xFBE0, (q15_t)0x7FEE,
+	(q15_t)0xFBAE, (q15_t)0x7FED, (q15_t)0xFB7C, (q15_t)0x7FEB,
+	(q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFB17, (q15_t)0x7FE7,
+	(q15_t)0xFAE5, (q15_t)0x7FE5, (q15_t)0xFAB3, (q15_t)0x7FE3,
+	(q15_t)0xFA80, (q15_t)0x7FE1, (q15_t)0xFA4E, (q15_t)0x7FDF,
+	(q15_t)0xFA1C, (q15_t)0x7FDD, (q15_t)0xF9EA, (q15_t)0x7FDA,
+	(q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF985, (q15_t)0x7FD6,
+	(q15_t)0xF953, (q15_t)0x7FD3, (q15_t)0xF921, (q15_t)0x7FD0,
+	(q15_t)0xF8EF, (q15_t)0x7FCE, (q15_t)0xF8BD, (q15_t)0x7FCB,
+	(q15_t)0xF88A, (q15_t)0x7FC8, (q15_t)0xF858, (q15_t)0x7FC5,
+	(q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF7F4, (q15_t)0x7FBF,
+	(q15_t)0xF7C2, (q15_t)0x7FBC, (q15_t)0xF790, (q15_t)0x7FB8,
+	(q15_t)0xF75D, (q15_t)0x7FB5, (q15_t)0xF72B, (q15_t)0x7FB1,
+	(q15_t)0xF6F9, (q15_t)0x7FAE, (q15_t)0xF6C7, (q15_t)0x7FAA,
+	(q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF663, (q15_t)0x7FA3,
+	(q15_t)0xF631, (q15_t)0x7F9F, (q15_t)0xF5FF, (q15_t)0x7F9B,
+	(q15_t)0xF5CC, (q15_t)0x7F97, (q15_t)0xF59A, (q15_t)0x7F93,
+	(q15_t)0xF568, (q15_t)0x7F8F, (q15_t)0xF536, (q15_t)0x7F8B,
+	(q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF4D2, (q15_t)0x7F82,
+	(q15_t)0xF4A0, (q15_t)0x7F7E, (q15_t)0xF46E, (q15_t)0x7F79,
+	(q15_t)0xF43C, (q15_t)0x7F75, (q15_t)0xF40A, (q15_t)0x7F70,
+	(q15_t)0xF3D8, (q15_t)0x7F6B, (q15_t)0xF3A6, (q15_t)0x7F67,
+	(q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF342, (q15_t)0x7F5D,
+	(q15_t)0xF310, (q15_t)0x7F58, (q15_t)0xF2DE, (q15_t)0x7F53,
+	(q15_t)0xF2AC, (q15_t)0x7F4D, (q15_t)0xF27A, (q15_t)0x7F48,
+	(q15_t)0xF248, (q15_t)0x7F43, (q15_t)0xF216, (q15_t)0x7F3D,
+	(q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF1B2, (q15_t)0x7F32,
+	(q15_t)0xF180, (q15_t)0x7F2D, (q15_t)0xF14E, (q15_t)0x7F27,
+	(q15_t)0xF11C, (q15_t)0x7F21, (q15_t)0xF0EA, (q15_t)0x7F1B,
+	(q15_t)0xF0B8, (q15_t)0x7F15, (q15_t)0xF086, (q15_t)0x7F0F,
+	(q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xF022, (q15_t)0x7F03,
+	(q15_t)0xEFF1, (q15_t)0x7EFD, (q15_t)0xEFBF, (q15_t)0x7EF6,
+	(q15_t)0xEF8D, (q15_t)0x7EF0, (q15_t)0xEF5B, (q15_t)0x7EE9,
+	(q15_t)0xEF29, (q15_t)0x7EE3, (q15_t)0xEEF7, (q15_t)0x7EDC,
+	(q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEE94, (q15_t)0x7ECF,
+	(q15_t)0xEE62, (q15_t)0x7EC8, (q15_t)0xEE30, (q15_t)0x7EC1,
+	(q15_t)0xEDFE, (q15_t)0x7EBA, (q15_t)0xEDCD, (q15_t)0x7EB3,
+	(q15_t)0xED9B, (q15_t)0x7EAB, (q15_t)0xED69, (q15_t)0x7EA4,
+	(q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xED06, (q15_t)0x7E95,
+	(q15_t)0xECD4, (q15_t)0x7E8E, (q15_t)0xECA2, (q15_t)0x7E86,
+	(q15_t)0xEC71, (q15_t)0x7E7F, (q15_t)0xEC3F, (q15_t)0x7E77,
+	(q15_t)0xEC0D, (q15_t)0x7E6F, (q15_t)0xEBDC, (q15_t)0x7E67,
+	(q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEB78, (q15_t)0x7E57,
+	(q15_t)0xEB47, (q15_t)0x7E4F, (q15_t)0xEB15, (q15_t)0x7E47,
+	(q15_t)0xEAE4, (q15_t)0x7E3F, (q15_t)0xEAB2, (q15_t)0x7E37,
+	(q15_t)0xEA80, (q15_t)0x7E2E, (q15_t)0xEA4F, (q15_t)0x7E26,
+	(q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE9EC, (q15_t)0x7E14,
+	(q15_t)0xE9BA, (q15_t)0x7E0C, (q15_t)0xE989, (q15_t)0x7E03,
+	(q15_t)0xE957, (q15_t)0x7DFA, (q15_t)0xE926, (q15_t)0x7DF1,
+	(q15_t)0xE8F5, (q15_t)0x7DE8, (q15_t)0xE8C3, (q15_t)0x7DDF,
+	(q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE860, (q15_t)0x7DCD,
+	(q15_t)0xE82F, (q15_t)0x7DC3, (q15_t)0xE7FD, (q15_t)0x7DBA,
+	(q15_t)0xE7CC, (q15_t)0x7DB0, (q15_t)0xE79B, (q15_t)0x7DA7,
+	(q15_t)0xE769, (q15_t)0x7D9D, (q15_t)0xE738, (q15_t)0x7D94,
+	(q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE6D5, (q15_t)0x7D80,
+	(q15_t)0xE6A4, (q15_t)0x7D76, (q15_t)0xE673, (q15_t)0x7D6C,
+	(q15_t)0xE642, (q15_t)0x7D62, (q15_t)0xE610, (q15_t)0x7D58,
+	(q15_t)0xE5DF, (q15_t)0x7D4E, (q15_t)0xE5AE, (q15_t)0x7D43,
+	(q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE54C, (q15_t)0x7D2F,
+	(q15_t)0xE51B, (q15_t)0x7D24, (q15_t)0xE4E9, (q15_t)0x7D19,
+	(q15_t)0xE4B8, (q15_t)0x7D0F, (q15_t)0xE487, (q15_t)0x7D04,
+	(q15_t)0xE456, (q15_t)0x7CF9, (q15_t)0xE425, (q15_t)0x7CEE,
+	(q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE3C3, (q15_t)0x7CD8,
+	(q15_t)0xE392, (q15_t)0x7CCD, (q15_t)0xE361, (q15_t)0x7CC2,
+	(q15_t)0xE330, (q15_t)0x7CB7, (q15_t)0xE2FF, (q15_t)0x7CAB,
+	(q15_t)0xE2CE, (q15_t)0x7CA0, (q15_t)0xE29D, (q15_t)0x7C94,
+	(q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE23B, (q15_t)0x7C7D,
+	(q15_t)0xE20A, (q15_t)0x7C71, (q15_t)0xE1DA, (q15_t)0x7C66,
+	(q15_t)0xE1A9, (q15_t)0x7C5A, (q15_t)0xE178, (q15_t)0x7C4E,
+	(q15_t)0xE147, (q15_t)0x7C42, (q15_t)0xE116, (q15_t)0x7C36,
+	(q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE0B5, (q15_t)0x7C1D,
+	(q15_t)0xE084, (q15_t)0x7C11, (q15_t)0xE053, (q15_t)0x7C05,
+	(q15_t)0xE023, (q15_t)0x7BF8, (q15_t)0xDFF2, (q15_t)0x7BEB,
+	(q15_t)0xDFC1, (q15_t)0x7BDF, (q15_t)0xDF91, (q15_t)0x7BD2,
+	(q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDF2F, (q15_t)0x7BB9,
+	(q15_t)0xDEFF, (q15_t)0x7BAC, (q15_t)0xDECE, (q15_t)0x7B9F,
+	(q15_t)0xDE9E, (q15_t)0x7B92, (q15_t)0xDE6D, (q15_t)0x7B84,
+	(q15_t)0xDE3D, (q15_t)0x7B77, (q15_t)0xDE0C, (q15_t)0x7B6A,
+	(q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDDAB, (q15_t)0x7B4F,
+	(q15_t)0xDD7B, (q15_t)0x7B42, (q15_t)0xDD4B, (q15_t)0x7B34,
+	(q15_t)0xDD1A, (q15_t)0x7B26, (q15_t)0xDCEA, (q15_t)0x7B19,
+	(q15_t)0xDCBA, (q15_t)0x7B0B, (q15_t)0xDC89, (q15_t)0x7AFD,
+	(q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDC29, (q15_t)0x7AE1,
+	(q15_t)0xDBF8, (q15_t)0x7AD3, (q15_t)0xDBC8, (q15_t)0x7AC5,
+	(q15_t)0xDB98, (q15_t)0x7AB6, (q15_t)0xDB68, (q15_t)0x7AA8,
+	(q15_t)0xDB38, (q15_t)0x7A9A, (q15_t)0xDB08, (q15_t)0x7A8B,
+	(q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDAA7, (q15_t)0x7A6E,
+	(q15_t)0xDA77, (q15_t)0x7A5F, (q15_t)0xDA47, (q15_t)0x7A50,
+	(q15_t)0xDA17, (q15_t)0x7A42, (q15_t)0xD9E7, (q15_t)0x7A33,
+	(q15_t)0xD9B7, (q15_t)0x7A24, (q15_t)0xD987, (q15_t)0x7A15,
+	(q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD927, (q15_t)0x79F6,
+	(q15_t)0xD8F8, (q15_t)0x79E7, (q15_t)0xD8C8, (q15_t)0x79D8,
+	(q15_t)0xD898, (q15_t)0x79C8, (q15_t)0xD868, (q15_t)0x79B9,
+	(q15_t)0xD838, (q15_t)0x79A9, (q15_t)0xD809, (q15_t)0x7999,
+	(q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD7A9, (q15_t)0x797A,
+	(q15_t)0xD779, (q15_t)0x796A, (q15_t)0xD74A, (q15_t)0x795A,
+	(q15_t)0xD71A, (q15_t)0x794A, (q15_t)0xD6EA, (q15_t)0x793A,
+	(q15_t)0xD6BB, (q15_t)0x792A, (q15_t)0xD68B, (q15_t)0x7919,
+	(q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD62C, (q15_t)0x78F9,
+	(q15_t)0xD5FD, (q15_t)0x78E8, (q15_t)0xD5CD, (q15_t)0x78D8,
+	(q15_t)0xD59E, (q15_t)0x78C7, (q15_t)0xD56E, (q15_t)0x78B6,
+	(q15_t)0xD53F, (q15_t)0x78A6, (q15_t)0xD510, (q15_t)0x7895,
+	(q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD4B1, (q15_t)0x7873,
+	(q15_t)0xD482, (q15_t)0x7862, (q15_t)0xD452, (q15_t)0x7851,
+	(q15_t)0xD423, (q15_t)0x7840, (q15_t)0xD3F4, (q15_t)0x782E,
+	(q15_t)0xD3C5, (q15_t)0x781D, (q15_t)0xD396, (q15_t)0x780C,
+	(q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD337, (q15_t)0x77E9,
+	(q15_t)0xD308, (q15_t)0x77D7, (q15_t)0xD2D9, (q15_t)0x77C5,
+	(q15_t)0xD2AA, (q15_t)0x77B4, (q15_t)0xD27B, (q15_t)0x77A2,
+	(q15_t)0xD24C, (q15_t)0x7790, (q15_t)0xD21D, (q15_t)0x777E,
+	(q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD1C0, (q15_t)0x775A,
+	(q15_t)0xD191, (q15_t)0x7747, (q15_t)0xD162, (q15_t)0x7735,
+	(q15_t)0xD133, (q15_t)0x7723, (q15_t)0xD104, (q15_t)0x7710,
+	(q15_t)0xD0D6, (q15_t)0x76FE, (q15_t)0xD0A7, (q15_t)0x76EB,
+	(q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xD04A, (q15_t)0x76C6,
+	(q15_t)0xD01B, (q15_t)0x76B3, (q15_t)0xCFEC, (q15_t)0x76A0,
+	(q15_t)0xCFBE, (q15_t)0x768E, (q15_t)0xCF8F, (q15_t)0x767B,
+	(q15_t)0xCF61, (q15_t)0x7668, (q15_t)0xCF32, (q15_t)0x7654,
+	(q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCED5, (q15_t)0x762E,
+	(q15_t)0xCEA7, (q15_t)0x761B, (q15_t)0xCE79, (q15_t)0x7607,
+	(q15_t)0xCE4A, (q15_t)0x75F4, (q15_t)0xCE1C, (q15_t)0x75E0,
+	(q15_t)0xCDEE, (q15_t)0x75CC, (q15_t)0xCDBF, (q15_t)0x75B9,
+	(q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCD63, (q15_t)0x7591,
+	(q15_t)0xCD35, (q15_t)0x757D, (q15_t)0xCD07, (q15_t)0x7569,
+	(q15_t)0xCCD9, (q15_t)0x7555, (q15_t)0xCCAB, (q15_t)0x7541,
+	(q15_t)0xCC7D, (q15_t)0x752D, (q15_t)0xCC4F, (q15_t)0x7519,
+	(q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCBF3, (q15_t)0x74F0,
+	(q15_t)0xCBC5, (q15_t)0x74DB, (q15_t)0xCB97, (q15_t)0x74C7,
+	(q15_t)0xCB69, (q15_t)0x74B2, (q15_t)0xCB3B, (q15_t)0x749E,
+	(q15_t)0xCB0D, (q15_t)0x7489, (q15_t)0xCAE0, (q15_t)0x7474,
+	(q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xCA84, (q15_t)0x744A,
+	(q15_t)0xCA57, (q15_t)0x7435, (q15_t)0xCA29, (q15_t)0x7420,
+	(q15_t)0xC9FB, (q15_t)0x740B, (q15_t)0xC9CE, (q15_t)0x73F6,
+	(q15_t)0xC9A0, (q15_t)0x73E0, (q15_t)0xC973, (q15_t)0x73CB,
+	(q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC918, (q15_t)0x73A0,
+	(q15_t)0xC8EB, (q15_t)0x738A, (q15_t)0xC8BD, (q15_t)0x7375,
+	(q15_t)0xC890, (q15_t)0x735F, (q15_t)0xC863, (q15_t)0x7349,
+	(q15_t)0xC835, (q15_t)0x7333, (q15_t)0xC808, (q15_t)0x731D,
+	(q15_t)0xC7DB, (q15_t)0x7307, (q15_t)0xC7AE, (q15_t)0x72F1,
+	(q15_t)0xC781, (q15_t)0x72DB, (q15_t)0xC754, (q15_t)0x72C5,
+	(q15_t)0xC727, (q15_t)0x72AF, (q15_t)0xC6F9, (q15_t)0x7298,
+	(q15_t)0xC6CD, (q15_t)0x7282, (q15_t)0xC6A0, (q15_t)0x726B,
+	(q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC646, (q15_t)0x723E,
+	(q15_t)0xC619, (q15_t)0x7227, (q15_t)0xC5EC, (q15_t)0x7211,
+	(q15_t)0xC5BF, (q15_t)0x71FA, (q15_t)0xC593, (q15_t)0x71E3,
+	(q15_t)0xC566, (q15_t)0x71CC, (q15_t)0xC539, (q15_t)0x71B5,
+	(q15_t)0xC50D, (q15_t)0x719E, (q15_t)0xC4E0, (q15_t)0x7186,
+	(q15_t)0xC4B3, (q15_t)0x716F, (q15_t)0xC487, (q15_t)0x7158,
+	(q15_t)0xC45A, (q15_t)0x7141, (q15_t)0xC42E, (q15_t)0x7129,
+	(q15_t)0xC402, (q15_t)0x7112, (q15_t)0xC3D5, (q15_t)0x70FA,
+	(q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC37C, (q15_t)0x70CB,
+	(q15_t)0xC350, (q15_t)0x70B3, (q15_t)0xC324, (q15_t)0x709B,
+	(q15_t)0xC2F8, (q15_t)0x7083, (q15_t)0xC2CC, (q15_t)0x706B,
+	(q15_t)0xC29F, (q15_t)0x7053, (q15_t)0xC273, (q15_t)0x703B,
+	(q15_t)0xC247, (q15_t)0x7023, (q15_t)0xC21B, (q15_t)0x700A,
+	(q15_t)0xC1EF, (q15_t)0x6FF2, (q15_t)0xC1C3, (q15_t)0x6FDA,
+	(q15_t)0xC197, (q15_t)0x6FC1, (q15_t)0xC16C, (q15_t)0x6FA9,
+	(q15_t)0xC140, (q15_t)0x6F90, (q15_t)0xC114, (q15_t)0x6F77,
+	(q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xC0BC, (q15_t)0x6F46,
+	(q15_t)0xC091, (q15_t)0x6F2D, (q15_t)0xC065, (q15_t)0x6F14,
+	(q15_t)0xC03A, (q15_t)0x6EFB, (q15_t)0xC00E, (q15_t)0x6EE2,
+	(q15_t)0xBFE2, (q15_t)0x6EC9, (q15_t)0xBFB7, (q15_t)0x6EAF,
+	(q15_t)0xBF8C, (q15_t)0x6E96, (q15_t)0xBF60, (q15_t)0x6E7D,
+	(q15_t)0xBF35, (q15_t)0x6E63, (q15_t)0xBF09, (q15_t)0x6E4A,
+	(q15_t)0xBEDE, (q15_t)0x6E30, (q15_t)0xBEB3, (q15_t)0x6E17,
+	(q15_t)0xBE88, (q15_t)0x6DFD, (q15_t)0xBE5D, (q15_t)0x6DE3,
+	(q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBE06, (q15_t)0x6DB0,
+	(q15_t)0xBDDB, (q15_t)0x6D96, (q15_t)0xBDB0, (q15_t)0x6D7C,
+	(q15_t)0xBD85, (q15_t)0x6D62, (q15_t)0xBD5A, (q15_t)0x6D48,
+	(q15_t)0xBD2F, (q15_t)0x6D2D, (q15_t)0xBD05, (q15_t)0x6D13,
+	(q15_t)0xBCDA, (q15_t)0x6CF9, (q15_t)0xBCAF, (q15_t)0x6CDE,
+	(q15_t)0xBC84, (q15_t)0x6CC4, (q15_t)0xBC5A, (q15_t)0x6CA9,
+	(q15_t)0xBC2F, (q15_t)0x6C8F, (q15_t)0xBC04, (q15_t)0x6C74,
+	(q15_t)0xBBDA, (q15_t)0x6C59, (q15_t)0xBBAF, (q15_t)0x6C3F,
+	(q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBB5A, (q15_t)0x6C09,
+	(q15_t)0xBB30, (q15_t)0x6BEE, (q15_t)0xBB05, (q15_t)0x6BD3,
+	(q15_t)0xBADB, (q15_t)0x6BB8, (q15_t)0xBAB1, (q15_t)0x6B9C,
+	(q15_t)0xBA87, (q15_t)0x6B81, (q15_t)0xBA5C, (q15_t)0x6B66,
+	(q15_t)0xBA32, (q15_t)0x6B4A, (q15_t)0xBA08, (q15_t)0x6B2F,
+	(q15_t)0xB9DE, (q15_t)0x6B13, (q15_t)0xB9B4, (q15_t)0x6AF8,
+	(q15_t)0xB98A, (q15_t)0x6ADC, (q15_t)0xB960, (q15_t)0x6AC1,
+	(q15_t)0xB936, (q15_t)0x6AA5, (q15_t)0xB90C, (q15_t)0x6A89,
+	(q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB8B9, (q15_t)0x6A51,
+	(q15_t)0xB88F, (q15_t)0x6A35, (q15_t)0xB865, (q15_t)0x6A19,
+	(q15_t)0xB83C, (q15_t)0x69FD, (q15_t)0xB812, (q15_t)0x69E1,
+	(q15_t)0xB7E9, (q15_t)0x69C4, (q15_t)0xB7BF, (q15_t)0x69A8,
+	(q15_t)0xB796, (q15_t)0x698C, (q15_t)0xB76C, (q15_t)0x696F,
+	(q15_t)0xB743, (q15_t)0x6953, (q15_t)0xB719, (q15_t)0x6936,
+	(q15_t)0xB6F0, (q15_t)0x6919, (q15_t)0xB6C7, (q15_t)0x68FD,
+	(q15_t)0xB69E, (q15_t)0x68E0, (q15_t)0xB675, (q15_t)0x68C3,
+	(q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB622, (q15_t)0x6889,
+	(q15_t)0xB5F9, (q15_t)0x686C, (q15_t)0xB5D0, (q15_t)0x684F,
+	(q15_t)0xB5A7, (q15_t)0x6832, (q15_t)0xB57E, (q15_t)0x6815,
+	(q15_t)0xB556, (q15_t)0x67F7, (q15_t)0xB52D, (q15_t)0x67DA,
+	(q15_t)0xB504, (q15_t)0x67BD, (q15_t)0xB4DB, (q15_t)0x679F,
+	(q15_t)0xB4B3, (q15_t)0x6782, (q15_t)0xB48A, (q15_t)0x6764,
+	(q15_t)0xB461, (q15_t)0x6746, (q15_t)0xB439, (q15_t)0x6729,
+	(q15_t)0xB410, (q15_t)0x670B, (q15_t)0xB3E8, (q15_t)0x66ED,
+	(q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB397, (q15_t)0x66B1,
+	(q15_t)0xB36F, (q15_t)0x6693, (q15_t)0xB347, (q15_t)0x6675,
+	(q15_t)0xB31E, (q15_t)0x6657, (q15_t)0xB2F6, (q15_t)0x6639,
+	(q15_t)0xB2CE, (q15_t)0x661A, (q15_t)0xB2A6, (q15_t)0x65FC,
+	(q15_t)0xB27E, (q15_t)0x65DD, (q15_t)0xB256, (q15_t)0x65BF,
+	(q15_t)0xB22E, (q15_t)0x65A0, (q15_t)0xB206, (q15_t)0x6582,
+	(q15_t)0xB1DE, (q15_t)0x6563, (q15_t)0xB1B7, (q15_t)0x6545,
+	(q15_t)0xB18F, (q15_t)0x6526, (q15_t)0xB167, (q15_t)0x6507,
+	(q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB118, (q15_t)0x64C9,
+	(q15_t)0xB0F0, (q15_t)0x64AA, (q15_t)0xB0C9, (q15_t)0x648B,
+	(q15_t)0xB0A1, (q15_t)0x646C, (q15_t)0xB07A, (q15_t)0x644D,
+	(q15_t)0xB053, (q15_t)0x642D, (q15_t)0xB02B, (q15_t)0x640E,
+	(q15_t)0xB004, (q15_t)0x63EF, (q15_t)0xAFDD, (q15_t)0x63CF,
+	(q15_t)0xAFB6, (q15_t)0x63B0, (q15_t)0xAF8F, (q15_t)0x6390,
+	(q15_t)0xAF68, (q15_t)0x6371, (q15_t)0xAF40, (q15_t)0x6351,
+	(q15_t)0xAF1A, (q15_t)0x6331, (q15_t)0xAEF3, (q15_t)0x6311,
+	(q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAEA5, (q15_t)0x62D2,
+	(q15_t)0xAE7E, (q15_t)0x62B2, (q15_t)0xAE57, (q15_t)0x6292,
+	(q15_t)0xAE31, (q15_t)0x6271, (q15_t)0xAE0A, (q15_t)0x6251,
+	(q15_t)0xADE3, (q15_t)0x6231, (q15_t)0xADBD, (q15_t)0x6211,
+	(q15_t)0xAD96, (q15_t)0x61F1, (q15_t)0xAD70, (q15_t)0x61D0,
+	(q15_t)0xAD4A, (q15_t)0x61B0, (q15_t)0xAD23, (q15_t)0x618F,
+	(q15_t)0xACFD, (q15_t)0x616F, (q15_t)0xACD7, (q15_t)0x614E,
+	(q15_t)0xACB1, (q15_t)0x612D, (q15_t)0xAC8A, (q15_t)0x610D,
+	(q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAC3E, (q15_t)0x60CB,
+	(q15_t)0xAC18, (q15_t)0x60AA, (q15_t)0xABF2, (q15_t)0x6089,
+	(q15_t)0xABCC, (q15_t)0x6068, (q15_t)0xABA7, (q15_t)0x6047,
+	(q15_t)0xAB81, (q15_t)0x6026, (q15_t)0xAB5B, (q15_t)0x6004,
+	(q15_t)0xAB35, (q15_t)0x5FE3, (q15_t)0xAB10, (q15_t)0x5FC2,
+	(q15_t)0xAAEA, (q15_t)0x5FA0, (q15_t)0xAAC5, (q15_t)0x5F7F,
+	(q15_t)0xAA9F, (q15_t)0x5F5E, (q15_t)0xAA7A, (q15_t)0x5F3C,
+	(q15_t)0xAA54, (q15_t)0x5F1A, (q15_t)0xAA2F, (q15_t)0x5EF9,
+	(q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA9E5, (q15_t)0x5EB5,
+	(q15_t)0xA9BF, (q15_t)0x5E93, (q15_t)0xA99A, (q15_t)0x5E71,
+	(q15_t)0xA975, (q15_t)0x5E50, (q15_t)0xA950, (q15_t)0x5E2D,
+	(q15_t)0xA92B, (q15_t)0x5E0B, (q15_t)0xA906, (q15_t)0x5DE9,
+	(q15_t)0xA8E2, (q15_t)0x5DC7, (q15_t)0xA8BD, (q15_t)0x5DA5,
+	(q15_t)0xA898, (q15_t)0x5D83, (q15_t)0xA873, (q15_t)0x5D60,
+	(q15_t)0xA84F, (q15_t)0x5D3E, (q15_t)0xA82A, (q15_t)0x5D1B,
+	(q15_t)0xA806, (q15_t)0x5CF9, (q15_t)0xA7E1, (q15_t)0x5CD6,
+	(q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA798, (q15_t)0x5C91,
+	(q15_t)0xA774, (q15_t)0x5C6E, (q15_t)0xA750, (q15_t)0x5C4B,
+	(q15_t)0xA72B, (q15_t)0x5C29, (q15_t)0xA707, (q15_t)0x5C06,
+	(q15_t)0xA6E3, (q15_t)0x5BE3, (q15_t)0xA6BF, (q15_t)0x5BC0,
+	(q15_t)0xA69B, (q15_t)0x5B9D, (q15_t)0xA677, (q15_t)0x5B79,
+	(q15_t)0xA653, (q15_t)0x5B56, (q15_t)0xA62F, (q15_t)0x5B33,
+	(q15_t)0xA60C, (q15_t)0x5B10, (q15_t)0xA5E8, (q15_t)0x5AEC,
+	(q15_t)0xA5C4, (q15_t)0x5AC9, (q15_t)0xA5A1, (q15_t)0x5AA5,
+	(q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA55A, (q15_t)0x5A5E,
+	(q15_t)0xA536, (q15_t)0x5A3B, (q15_t)0xA513, (q15_t)0x5A17,
+	(q15_t)0xA4EF, (q15_t)0x59F3, (q15_t)0xA4CC, (q15_t)0x59D0,
+	(q15_t)0xA4A9, (q15_t)0x59AC, (q15_t)0xA486, (q15_t)0x5988,
+	(q15_t)0xA462, (q15_t)0x5964, (q15_t)0xA43F, (q15_t)0x5940,
+	(q15_t)0xA41C, (q15_t)0x591C, (q15_t)0xA3F9, (q15_t)0x58F8,
+	(q15_t)0xA3D6, (q15_t)0x58D4, (q15_t)0xA3B4, (q15_t)0x58AF,
+	(q15_t)0xA391, (q15_t)0x588B, (q15_t)0xA36E, (q15_t)0x5867,
+	(q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA329, (q15_t)0x581E,
+	(q15_t)0xA306, (q15_t)0x57F9, (q15_t)0xA2E4, (q15_t)0x57D5,
+	(q15_t)0xA2C1, (q15_t)0x57B0, (q15_t)0xA29F, (q15_t)0x578C,
+	(q15_t)0xA27C, (q15_t)0x5767, (q15_t)0xA25A, (q15_t)0x5742,
+	(q15_t)0xA238, (q15_t)0x571D, (q15_t)0xA216, (q15_t)0x56F9,
+	(q15_t)0xA1F4, (q15_t)0x56D4, (q15_t)0xA1D2, (q15_t)0x56AF,
+	(q15_t)0xA1AF, (q15_t)0x568A, (q15_t)0xA18E, (q15_t)0x5665,
+	(q15_t)0xA16C, (q15_t)0x5640, (q15_t)0xA14A, (q15_t)0x561A,
+	(q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA106, (q15_t)0x55D0,
+	(q15_t)0xA0E5, (q15_t)0x55AB, (q15_t)0xA0C3, (q15_t)0x5585,
+	(q15_t)0xA0A1, (q15_t)0x5560, (q15_t)0xA080, (q15_t)0x553A,
+	(q15_t)0xA05F, (q15_t)0x5515, (q15_t)0xA03D, (q15_t)0x54EF,
+	(q15_t)0xA01C, (q15_t)0x54CA, (q15_t)0x9FFB, (q15_t)0x54A4,
+	(q15_t)0x9FD9, (q15_t)0x547E, (q15_t)0x9FB8, (q15_t)0x5458,
+	(q15_t)0x9F97, (q15_t)0x5433, (q15_t)0x9F76, (q15_t)0x540D,
+	(q15_t)0x9F55, (q15_t)0x53E7, (q15_t)0x9F34, (q15_t)0x53C1,
+	(q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9EF2, (q15_t)0x5375,
+	(q15_t)0x9ED2, (q15_t)0x534E, (q15_t)0x9EB1, (q15_t)0x5328,
+	(q15_t)0x9E90, (q15_t)0x5302, (q15_t)0x9E70, (q15_t)0x52DC,
+	(q15_t)0x9E4F, (q15_t)0x52B5, (q15_t)0x9E2F, (q15_t)0x528F,
+	(q15_t)0x9E0E, (q15_t)0x5269, (q15_t)0x9DEE, (q15_t)0x5242,
+	(q15_t)0x9DCE, (q15_t)0x521C, (q15_t)0x9DAE, (q15_t)0x51F5,
+	(q15_t)0x9D8E, (q15_t)0x51CE, (q15_t)0x9D6D, (q15_t)0x51A8,
+	(q15_t)0x9D4D, (q15_t)0x5181, (q15_t)0x9D2D, (q15_t)0x515A,
+	(q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9CEE, (q15_t)0x510C,
+	(q15_t)0x9CCE, (q15_t)0x50E5, (q15_t)0x9CAE, (q15_t)0x50BF,
+	(q15_t)0x9C8E, (q15_t)0x5097, (q15_t)0x9C6F, (q15_t)0x5070,
+	(q15_t)0x9C4F, (q15_t)0x5049, (q15_t)0x9C30, (q15_t)0x5022,
+	(q15_t)0x9C10, (q15_t)0x4FFB, (q15_t)0x9BF1, (q15_t)0x4FD4,
+	(q15_t)0x9BD2, (q15_t)0x4FAC, (q15_t)0x9BB2, (q15_t)0x4F85,
+	(q15_t)0x9B93, (q15_t)0x4F5E, (q15_t)0x9B74, (q15_t)0x4F36,
+	(q15_t)0x9B55, (q15_t)0x4F0F, (q15_t)0x9B36, (q15_t)0x4EE7,
+	(q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9AF8, (q15_t)0x4E98,
+	(q15_t)0x9AD9, (q15_t)0x4E70, (q15_t)0x9ABA, (q15_t)0x4E48,
+	(q15_t)0x9A9C, (q15_t)0x4E21, (q15_t)0x9A7D, (q15_t)0x4DF9,
+	(q15_t)0x9A5F, (q15_t)0x4DD1, (q15_t)0x9A40, (q15_t)0x4DA9,
+	(q15_t)0x9A22, (q15_t)0x4D81, (q15_t)0x9A03, (q15_t)0x4D59,
+	(q15_t)0x99E5, (q15_t)0x4D31, (q15_t)0x99C6, (q15_t)0x4D09,
+	(q15_t)0x99A8, (q15_t)0x4CE1, (q15_t)0x998A, (q15_t)0x4CB8,
+	(q15_t)0x996C, (q15_t)0x4C90, (q15_t)0x994E, (q15_t)0x4C68,
+	(q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9912, (q15_t)0x4C17,
+	(q15_t)0x98F4, (q15_t)0x4BEF, (q15_t)0x98D6, (q15_t)0x4BC6,
+	(q15_t)0x98B9, (q15_t)0x4B9E, (q15_t)0x989B, (q15_t)0x4B75,
+	(q15_t)0x987D, (q15_t)0x4B4C, (q15_t)0x9860, (q15_t)0x4B24,
+	(q15_t)0x9842, (q15_t)0x4AFB, (q15_t)0x9825, (q15_t)0x4AD2,
+	(q15_t)0x9808, (q15_t)0x4AA9, (q15_t)0x97EA, (q15_t)0x4A81,
+	(q15_t)0x97CD, (q15_t)0x4A58, (q15_t)0x97B0, (q15_t)0x4A2F,
+	(q15_t)0x9793, (q15_t)0x4A06, (q15_t)0x9776, (q15_t)0x49DD,
+	(q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x973C, (q15_t)0x498A,
+	(q15_t)0x971F, (q15_t)0x4961, (q15_t)0x9702, (q15_t)0x4938,
+	(q15_t)0x96E6, (q15_t)0x490F, (q15_t)0x96C9, (q15_t)0x48E6,
+	(q15_t)0x96AC, (q15_t)0x48BC, (q15_t)0x9690, (q15_t)0x4893,
+	(q15_t)0x9673, (q15_t)0x4869, (q15_t)0x9657, (q15_t)0x4840,
+	(q15_t)0x963B, (q15_t)0x4816, (q15_t)0x961E, (q15_t)0x47ED,
+	(q15_t)0x9602, (q15_t)0x47C3, (q15_t)0x95E6, (q15_t)0x479A,
+	(q15_t)0x95CA, (q15_t)0x4770, (q15_t)0x95AE, (q15_t)0x4746,
+	(q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9576, (q15_t)0x46F3,
+	(q15_t)0x955A, (q15_t)0x46C9, (q15_t)0x953E, (q15_t)0x469F,
+	(q15_t)0x9523, (q15_t)0x4675, (q15_t)0x9507, (q15_t)0x464B,
+	(q15_t)0x94EC, (q15_t)0x4621, (q15_t)0x94D0, (q15_t)0x45F7,
+	(q15_t)0x94B5, (q15_t)0x45CD, (q15_t)0x9499, (q15_t)0x45A3,
+	(q15_t)0x947E, (q15_t)0x4578, (q15_t)0x9463, (q15_t)0x454E,
+	(q15_t)0x9447, (q15_t)0x4524, (q15_t)0x942C, (q15_t)0x44FA,
+	(q15_t)0x9411, (q15_t)0x44CF, (q15_t)0x93F6, (q15_t)0x44A5,
+	(q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x93C0, (q15_t)0x4450,
+	(q15_t)0x93A6, (q15_t)0x4425, (q15_t)0x938B, (q15_t)0x43FB,
+	(q15_t)0x9370, (q15_t)0x43D0, (q15_t)0x9356, (q15_t)0x43A5,
+	(q15_t)0x933B, (q15_t)0x437B, (q15_t)0x9321, (q15_t)0x4350,
+	(q15_t)0x9306, (q15_t)0x4325, (q15_t)0x92EC, (q15_t)0x42FA,
+	(q15_t)0x92D2, (q15_t)0x42D0, (q15_t)0x92B7, (q15_t)0x42A5,
+	(q15_t)0x929D, (q15_t)0x427A, (q15_t)0x9283, (q15_t)0x424F,
+	(q15_t)0x9269, (q15_t)0x4224, (q15_t)0x924F, (q15_t)0x41F9,
+	(q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x921C, (q15_t)0x41A2,
+	(q15_t)0x9202, (q15_t)0x4177, (q15_t)0x91E8, (q15_t)0x414C,
+	(q15_t)0x91CF, (q15_t)0x4121, (q15_t)0x91B5, (q15_t)0x40F6,
+	(q15_t)0x919C, (q15_t)0x40CA, (q15_t)0x9182, (q15_t)0x409F,
+	(q15_t)0x9169, (q15_t)0x4073, (q15_t)0x9150, (q15_t)0x4048,
+	(q15_t)0x9136, (q15_t)0x401D, (q15_t)0x911D, (q15_t)0x3FF1,
+	(q15_t)0x9104, (q15_t)0x3FC5, (q15_t)0x90EB, (q15_t)0x3F9A,
+	(q15_t)0x90D2, (q15_t)0x3F6E, (q15_t)0x90B9, (q15_t)0x3F43,
+	(q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x9088, (q15_t)0x3EEB,
+	(q15_t)0x906F, (q15_t)0x3EBF, (q15_t)0x9056, (q15_t)0x3E93,
+	(q15_t)0x903E, (q15_t)0x3E68, (q15_t)0x9025, (q15_t)0x3E3C,
+	(q15_t)0x900D, (q15_t)0x3E10, (q15_t)0x8FF5, (q15_t)0x3DE4,
+	(q15_t)0x8FDC, (q15_t)0x3DB8, (q15_t)0x8FC4, (q15_t)0x3D8C,
+	(q15_t)0x8FAC, (q15_t)0x3D60, (q15_t)0x8F94, (q15_t)0x3D33,
+	(q15_t)0x8F7C, (q15_t)0x3D07, (q15_t)0x8F64, (q15_t)0x3CDB,
+	(q15_t)0x8F4C, (q15_t)0x3CAF, (q15_t)0x8F34, (q15_t)0x3C83,
+	(q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8F05, (q15_t)0x3C2A,
+	(q15_t)0x8EED, (q15_t)0x3BFD, (q15_t)0x8ED6, (q15_t)0x3BD1,
+	(q15_t)0x8EBE, (q15_t)0x3BA5, (q15_t)0x8EA7, (q15_t)0x3B78,
+	(q15_t)0x8E90, (q15_t)0x3B4C, (q15_t)0x8E79, (q15_t)0x3B1F,
+	(q15_t)0x8E61, (q15_t)0x3AF2, (q15_t)0x8E4A, (q15_t)0x3AC6,
+	(q15_t)0x8E33, (q15_t)0x3A99, (q15_t)0x8E1C, (q15_t)0x3A6C,
+	(q15_t)0x8E05, (q15_t)0x3A40, (q15_t)0x8DEE, (q15_t)0x3A13,
+	(q15_t)0x8DD8, (q15_t)0x39E6, (q15_t)0x8DC1, (q15_t)0x39B9,
+	(q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8D94, (q15_t)0x395F,
+	(q15_t)0x8D7D, (q15_t)0x3932, (q15_t)0x8D67, (q15_t)0x3906,
+	(q15_t)0x8D50, (q15_t)0x38D8, (q15_t)0x8D3A, (q15_t)0x38AB,
+	(q15_t)0x8D24, (q15_t)0x387E, (q15_t)0x8D0E, (q15_t)0x3851,
+	(q15_t)0x8CF8, (q15_t)0x3824, (q15_t)0x8CE2, (q15_t)0x37F7,
+	(q15_t)0x8CCC, (q15_t)0x37CA, (q15_t)0x8CB6, (q15_t)0x379C,
+	(q15_t)0x8CA0, (q15_t)0x376F, (q15_t)0x8C8A, (q15_t)0x3742,
+	(q15_t)0x8C75, (q15_t)0x3714, (q15_t)0x8C5F, (q15_t)0x36E7,
+	(q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8C34, (q15_t)0x368C,
+	(q15_t)0x8C1F, (q15_t)0x365F, (q15_t)0x8C09, (q15_t)0x3631,
+	(q15_t)0x8BF4, (q15_t)0x3604, (q15_t)0x8BDF, (q15_t)0x35D6,
+	(q15_t)0x8BCA, (q15_t)0x35A8, (q15_t)0x8BB5, (q15_t)0x357B,
+	(q15_t)0x8BA0, (q15_t)0x354D, (q15_t)0x8B8B, (q15_t)0x351F,
+	(q15_t)0x8B76, (q15_t)0x34F2, (q15_t)0x8B61, (q15_t)0x34C4,
+	(q15_t)0x8B4D, (q15_t)0x3496, (q15_t)0x8B38, (q15_t)0x3468,
+	(q15_t)0x8B24, (q15_t)0x343A, (q15_t)0x8B0F, (q15_t)0x340C,
+	(q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8AE6, (q15_t)0x33B0,
+	(q15_t)0x8AD2, (q15_t)0x3382, (q15_t)0x8ABE, (q15_t)0x3354,
+	(q15_t)0x8AAA, (q15_t)0x3326, (q15_t)0x8A96, (q15_t)0x32F8,
+	(q15_t)0x8A82, (q15_t)0x32CA, (q15_t)0x8A6E, (q15_t)0x329C,
+	(q15_t)0x8A5A, (q15_t)0x326E, (q15_t)0x8A46, (q15_t)0x3240,
+	(q15_t)0x8A33, (q15_t)0x3211, (q15_t)0x8A1F, (q15_t)0x31E3,
+	(q15_t)0x8A0B, (q15_t)0x31B5, (q15_t)0x89F8, (q15_t)0x3186,
+	(q15_t)0x89E4, (q15_t)0x3158, (q15_t)0x89D1, (q15_t)0x312A,
+	(q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x89AB, (q15_t)0x30CD,
+	(q15_t)0x8997, (q15_t)0x309E, (q15_t)0x8984, (q15_t)0x3070,
+	(q15_t)0x8971, (q15_t)0x3041, (q15_t)0x895F, (q15_t)0x3013,
+	(q15_t)0x894C, (q15_t)0x2FE4, (q15_t)0x8939, (q15_t)0x2FB5,
+	(q15_t)0x8926, (q15_t)0x2F87, (q15_t)0x8914, (q15_t)0x2F58,
+	(q15_t)0x8901, (q15_t)0x2F29, (q15_t)0x88EF, (q15_t)0x2EFB,
+	(q15_t)0x88DC, (q15_t)0x2ECC, (q15_t)0x88CA, (q15_t)0x2E9D,
+	(q15_t)0x88B8, (q15_t)0x2E6E, (q15_t)0x88A5, (q15_t)0x2E3F,
+	(q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x8881, (q15_t)0x2DE2,
+	(q15_t)0x886F, (q15_t)0x2DB3, (q15_t)0x885D, (q15_t)0x2D84,
+	(q15_t)0x884B, (q15_t)0x2D55, (q15_t)0x883A, (q15_t)0x2D26,
+	(q15_t)0x8828, (q15_t)0x2CF7, (q15_t)0x8816, (q15_t)0x2CC8,
+	(q15_t)0x8805, (q15_t)0x2C98, (q15_t)0x87F3, (q15_t)0x2C69,
+	(q15_t)0x87E2, (q15_t)0x2C3A, (q15_t)0x87D1, (q15_t)0x2C0B,
+	(q15_t)0x87BF, (q15_t)0x2BDC, (q15_t)0x87AE, (q15_t)0x2BAD,
+	(q15_t)0x879D, (q15_t)0x2B7D, (q15_t)0x878C, (q15_t)0x2B4E,
+	(q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x876A, (q15_t)0x2AEF,
+	(q15_t)0x8759, (q15_t)0x2AC0, (q15_t)0x8749, (q15_t)0x2A91,
+	(q15_t)0x8738, (q15_t)0x2A61, (q15_t)0x8727, (q15_t)0x2A32,
+	(q15_t)0x8717, (q15_t)0x2A02, (q15_t)0x8706, (q15_t)0x29D3,
+	(q15_t)0x86F6, (q15_t)0x29A3, (q15_t)0x86E6, (q15_t)0x2974,
+	(q15_t)0x86D5, (q15_t)0x2944, (q15_t)0x86C5, (q15_t)0x2915,
+	(q15_t)0x86B5, (q15_t)0x28E5, (q15_t)0x86A5, (q15_t)0x28B5,
+	(q15_t)0x8695, (q15_t)0x2886, (q15_t)0x8685, (q15_t)0x2856,
+	(q15_t)0x8675, (q15_t)0x2826, (q15_t)0x8666, (q15_t)0x27F6,
+	(q15_t)0x8656, (q15_t)0x27C7, (q15_t)0x8646, (q15_t)0x2797,
+	(q15_t)0x8637, (q15_t)0x2767, (q15_t)0x8627, (q15_t)0x2737,
+	(q15_t)0x8618, (q15_t)0x2707, (q15_t)0x8609, (q15_t)0x26D8,
+	(q15_t)0x85FA, (q15_t)0x26A8, (q15_t)0x85EA, (q15_t)0x2678,
+	(q15_t)0x85DB, (q15_t)0x2648, (q15_t)0x85CC, (q15_t)0x2618,
+	(q15_t)0x85BD, (q15_t)0x25E8, (q15_t)0x85AF, (q15_t)0x25B8,
+	(q15_t)0x85A0, (q15_t)0x2588, (q15_t)0x8591, (q15_t)0x2558,
+	(q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8574, (q15_t)0x24F7,
+	(q15_t)0x8565, (q15_t)0x24C7, (q15_t)0x8557, (q15_t)0x2497,
+	(q15_t)0x8549, (q15_t)0x2467, (q15_t)0x853A, (q15_t)0x2437,
+	(q15_t)0x852C, (q15_t)0x2407, (q15_t)0x851E, (q15_t)0x23D6,
+	(q15_t)0x8510, (q15_t)0x23A6, (q15_t)0x8502, (q15_t)0x2376,
+	(q15_t)0x84F4, (q15_t)0x2345, (q15_t)0x84E6, (q15_t)0x2315,
+	(q15_t)0x84D9, (q15_t)0x22E5, (q15_t)0x84CB, (q15_t)0x22B4,
+	(q15_t)0x84BD, (q15_t)0x2284, (q15_t)0x84B0, (q15_t)0x2254,
+	(q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x8495, (q15_t)0x21F3,
+	(q15_t)0x8488, (q15_t)0x21C2, (q15_t)0x847B, (q15_t)0x2192,
+	(q15_t)0x846D, (q15_t)0x2161, (q15_t)0x8460, (q15_t)0x2131,
+	(q15_t)0x8453, (q15_t)0x2100, (q15_t)0x8446, (q15_t)0x20D0,
+	(q15_t)0x843A, (q15_t)0x209F, (q15_t)0x842D, (q15_t)0x206E,
+	(q15_t)0x8420, (q15_t)0x203E, (q15_t)0x8414, (q15_t)0x200D,
+	(q15_t)0x8407, (q15_t)0x1FDC, (q15_t)0x83FA, (q15_t)0x1FAC,
+	(q15_t)0x83EE, (q15_t)0x1F7B, (q15_t)0x83E2, (q15_t)0x1F4A,
+	(q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x83C9, (q15_t)0x1EE9,
+	(q15_t)0x83BD, (q15_t)0x1EB8, (q15_t)0x83B1, (q15_t)0x1E87,
+	(q15_t)0x83A5, (q15_t)0x1E56, (q15_t)0x8399, (q15_t)0x1E25,
+	(q15_t)0x838E, (q15_t)0x1DF5, (q15_t)0x8382, (q15_t)0x1DC4,
+	(q15_t)0x8376, (q15_t)0x1D93, (q15_t)0x836B, (q15_t)0x1D62,
+	(q15_t)0x835F, (q15_t)0x1D31, (q15_t)0x8354, (q15_t)0x1D00,
+	(q15_t)0x8348, (q15_t)0x1CCF, (q15_t)0x833D, (q15_t)0x1C9E,
+	(q15_t)0x8332, (q15_t)0x1C6D, (q15_t)0x8327, (q15_t)0x1C3C,
+	(q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x8311, (q15_t)0x1BDA,
+	(q15_t)0x8306, (q15_t)0x1BA9, (q15_t)0x82FB, (q15_t)0x1B78,
+	(q15_t)0x82F0, (q15_t)0x1B47, (q15_t)0x82E6, (q15_t)0x1B16,
+	(q15_t)0x82DB, (q15_t)0x1AE4, (q15_t)0x82D0, (q15_t)0x1AB3,
+	(q15_t)0x82C6, (q15_t)0x1A82, (q15_t)0x82BC, (q15_t)0x1A51,
+	(q15_t)0x82B1, (q15_t)0x1A20, (q15_t)0x82A7, (q15_t)0x19EF,
+	(q15_t)0x829D, (q15_t)0x19BD, (q15_t)0x8293, (q15_t)0x198C,
+	(q15_t)0x8289, (q15_t)0x195B, (q15_t)0x827F, (q15_t)0x192A,
+	(q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x826B, (q15_t)0x18C7,
+	(q15_t)0x8262, (q15_t)0x1896, (q15_t)0x8258, (q15_t)0x1864,
+	(q15_t)0x824F, (q15_t)0x1833, (q15_t)0x8245, (q15_t)0x1802,
+	(q15_t)0x823C, (q15_t)0x17D0, (q15_t)0x8232, (q15_t)0x179F,
+	(q15_t)0x8229, (q15_t)0x176D, (q15_t)0x8220, (q15_t)0x173C,
+	(q15_t)0x8217, (q15_t)0x170A, (q15_t)0x820E, (q15_t)0x16D9,
+	(q15_t)0x8205, (q15_t)0x16A8, (q15_t)0x81FC, (q15_t)0x1676,
+	(q15_t)0x81F3, (q15_t)0x1645, (q15_t)0x81EB, (q15_t)0x1613,
+	(q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81D9, (q15_t)0x15B0,
+	(q15_t)0x81D1, (q15_t)0x157F, (q15_t)0x81C8, (q15_t)0x154D,
+	(q15_t)0x81C0, (q15_t)0x151B, (q15_t)0x81B8, (q15_t)0x14EA,
+	(q15_t)0x81B0, (q15_t)0x14B8, (q15_t)0x81A8, (q15_t)0x1487,
+	(q15_t)0x81A0, (q15_t)0x1455, (q15_t)0x8198, (q15_t)0x1423,
+	(q15_t)0x8190, (q15_t)0x13F2, (q15_t)0x8188, (q15_t)0x13C0,
+	(q15_t)0x8180, (q15_t)0x138E, (q15_t)0x8179, (q15_t)0x135D,
+	(q15_t)0x8171, (q15_t)0x132B, (q15_t)0x816A, (q15_t)0x12F9,
+	(q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x815B, (q15_t)0x1296,
+	(q15_t)0x8154, (q15_t)0x1264, (q15_t)0x814C, (q15_t)0x1232,
+	(q15_t)0x8145, (q15_t)0x1201, (q15_t)0x813E, (q15_t)0x11CF,
+	(q15_t)0x8137, (q15_t)0x119D, (q15_t)0x8130, (q15_t)0x116B,
+	(q15_t)0x812A, (q15_t)0x1139, (q15_t)0x8123, (q15_t)0x1108,
+	(q15_t)0x811C, (q15_t)0x10D6, (q15_t)0x8116, (q15_t)0x10A4,
+	(q15_t)0x810F, (q15_t)0x1072, (q15_t)0x8109, (q15_t)0x1040,
+	(q15_t)0x8102, (q15_t)0x100E, (q15_t)0x80FC, (q15_t)0x0FDD,
+	(q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80F0, (q15_t)0x0F79,
+	(q15_t)0x80EA, (q15_t)0x0F47, (q15_t)0x80E4, (q15_t)0x0F15,
+	(q15_t)0x80DE, (q15_t)0x0EE3, (q15_t)0x80D8, (q15_t)0x0EB1,
+	(q15_t)0x80D2, (q15_t)0x0E7F, (q15_t)0x80CD, (q15_t)0x0E4D,
+	(q15_t)0x80C7, (q15_t)0x0E1B, (q15_t)0x80C2, (q15_t)0x0DE9,
+	(q15_t)0x80BC, (q15_t)0x0DB7, (q15_t)0x80B7, (q15_t)0x0D85,
+	(q15_t)0x80B2, (q15_t)0x0D53, (q15_t)0x80AC, (q15_t)0x0D21,
+	(q15_t)0x80A7, (q15_t)0x0CEF, (q15_t)0x80A2, (q15_t)0x0CBD,
+	(q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8098, (q15_t)0x0C59,
+	(q15_t)0x8094, (q15_t)0x0C27, (q15_t)0x808F, (q15_t)0x0BF5,
+	(q15_t)0x808A, (q15_t)0x0BC3, (q15_t)0x8086, (q15_t)0x0B91,
+	(q15_t)0x8081, (q15_t)0x0B5F, (q15_t)0x807D, (q15_t)0x0B2D,
+	(q15_t)0x8078, (q15_t)0x0AFB, (q15_t)0x8074, (q15_t)0x0AC9,
+	(q15_t)0x8070, (q15_t)0x0A97, (q15_t)0x806C, (q15_t)0x0A65,
+	(q15_t)0x8068, (q15_t)0x0A33, (q15_t)0x8064, (q15_t)0x0A00,
+	(q15_t)0x8060, (q15_t)0x09CE, (q15_t)0x805C, (q15_t)0x099C,
+	(q15_t)0x8058, (q15_t)0x096A, (q15_t)0x8055, (q15_t)0x0938,
+	(q15_t)0x8051, (q15_t)0x0906, (q15_t)0x804E, (q15_t)0x08D4,
+	(q15_t)0x804A, (q15_t)0x08A2, (q15_t)0x8047, (q15_t)0x086F,
+	(q15_t)0x8043, (q15_t)0x083D, (q15_t)0x8040, (q15_t)0x080B,
+	(q15_t)0x803D, (q15_t)0x07D9, (q15_t)0x803A, (q15_t)0x07A7,
+	(q15_t)0x8037, (q15_t)0x0775, (q15_t)0x8034, (q15_t)0x0742,
+	(q15_t)0x8031, (q15_t)0x0710, (q15_t)0x802F, (q15_t)0x06DE,
+	(q15_t)0x802C, (q15_t)0x06AC, (q15_t)0x8029, (q15_t)0x067A,
+	(q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8025, (q15_t)0x0615,
+	(q15_t)0x8022, (q15_t)0x05E3, (q15_t)0x8020, (q15_t)0x05B1,
+	(q15_t)0x801E, (q15_t)0x057F, (q15_t)0x801C, (q15_t)0x054C,
+	(q15_t)0x801A, (q15_t)0x051A, (q15_t)0x8018, (q15_t)0x04E8,
+	(q15_t)0x8016, (q15_t)0x04B6, (q15_t)0x8014, (q15_t)0x0483,
+	(q15_t)0x8012, (q15_t)0x0451, (q15_t)0x8011, (q15_t)0x041F,
+	(q15_t)0x800F, (q15_t)0x03ED, (q15_t)0x800D, (q15_t)0x03BA,
+	(q15_t)0x800C, (q15_t)0x0388, (q15_t)0x800B, (q15_t)0x0356,
+	(q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8008, (q15_t)0x02F1,
+	(q15_t)0x8007, (q15_t)0x02BF, (q15_t)0x8006, (q15_t)0x028D,
+	(q15_t)0x8005, (q15_t)0x025B, (q15_t)0x8004, (q15_t)0x0228,
+	(q15_t)0x8003, (q15_t)0x01F6, (q15_t)0x8003, (q15_t)0x01C4,
+	(q15_t)0x8002, (q15_t)0x0192, (q15_t)0x8001, (q15_t)0x015F,
+	(q15_t)0x8001, (q15_t)0x012D, (q15_t)0x8000, (q15_t)0x00FB,
+	(q15_t)0x8000, (q15_t)0x00C9, (q15_t)0x8000, (q15_t)0x0096,
+	(q15_t)0x8000, (q15_t)0x0064, (q15_t)0x8000, (q15_t)0x0032,
+	(q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8000, (q15_t)0xFFCD,
+	(q15_t)0x8000, (q15_t)0xFF9B, (q15_t)0x8000, (q15_t)0xFF69,
+	(q15_t)0x8000, (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF04,
+	(q15_t)0x8001, (q15_t)0xFED2, (q15_t)0x8001, (q15_t)0xFEA0,
+	(q15_t)0x8002, (q15_t)0xFE6D, (q15_t)0x8003, (q15_t)0xFE3B,
+	(q15_t)0x8003, (q15_t)0xFE09, (q15_t)0x8004, (q15_t)0xFDD7,
+	(q15_t)0x8005, (q15_t)0xFDA4, (q15_t)0x8006, (q15_t)0xFD72,
+	(q15_t)0x8007, (q15_t)0xFD40, (q15_t)0x8008, (q15_t)0xFD0E,
+	(q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x800B, (q15_t)0xFCA9,
+	(q15_t)0x800C, (q15_t)0xFC77, (q15_t)0x800D, (q15_t)0xFC45,
+	(q15_t)0x800F, (q15_t)0xFC12, (q15_t)0x8011, (q15_t)0xFBE0,
+	(q15_t)0x8012, (q15_t)0xFBAE, (q15_t)0x8014, (q15_t)0xFB7C,
+	(q15_t)0x8016, (q15_t)0xFB49, (q15_t)0x8018, (q15_t)0xFB17,
+	(q15_t)0x801A, (q15_t)0xFAE5, (q15_t)0x801C, (q15_t)0xFAB3,
+	(q15_t)0x801E, (q15_t)0xFA80, (q15_t)0x8020, (q15_t)0xFA4E,
+	(q15_t)0x8022, (q15_t)0xFA1C, (q15_t)0x8025, (q15_t)0xF9EA,
+	(q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8029, (q15_t)0xF985,
+	(q15_t)0x802C, (q15_t)0xF953, (q15_t)0x802F, (q15_t)0xF921,
+	(q15_t)0x8031, (q15_t)0xF8EF, (q15_t)0x8034, (q15_t)0xF8BD,
+	(q15_t)0x8037, (q15_t)0xF88A, (q15_t)0x803A, (q15_t)0xF858,
+	(q15_t)0x803D, (q15_t)0xF826, (q15_t)0x8040, (q15_t)0xF7F4,
+	(q15_t)0x8043, (q15_t)0xF7C2, (q15_t)0x8047, (q15_t)0xF790,
+	(q15_t)0x804A, (q15_t)0xF75D, (q15_t)0x804E, (q15_t)0xF72B,
+	(q15_t)0x8051, (q15_t)0xF6F9, (q15_t)0x8055, (q15_t)0xF6C7,
+	(q15_t)0x8058, (q15_t)0xF695, (q15_t)0x805C, (q15_t)0xF663,
+	(q15_t)0x8060, (q15_t)0xF631, (q15_t)0x8064, (q15_t)0xF5FF,
+	(q15_t)0x8068, (q15_t)0xF5CC, (q15_t)0x806C, (q15_t)0xF59A,
+	(q15_t)0x8070, (q15_t)0xF568, (q15_t)0x8074, (q15_t)0xF536,
+	(q15_t)0x8078, (q15_t)0xF504, (q15_t)0x807D, (q15_t)0xF4D2,
+	(q15_t)0x8081, (q15_t)0xF4A0, (q15_t)0x8086, (q15_t)0xF46E,
+	(q15_t)0x808A, (q15_t)0xF43C, (q15_t)0x808F, (q15_t)0xF40A,
+	(q15_t)0x8094, (q15_t)0xF3D8, (q15_t)0x8098, (q15_t)0xF3A6,
+	(q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80A2, (q15_t)0xF342,
+	(q15_t)0x80A7, (q15_t)0xF310, (q15_t)0x80AC, (q15_t)0xF2DE,
+	(q15_t)0x80B2, (q15_t)0xF2AC, (q15_t)0x80B7, (q15_t)0xF27A,
+	(q15_t)0x80BC, (q15_t)0xF248, (q15_t)0x80C2, (q15_t)0xF216,
+	(q15_t)0x80C7, (q15_t)0xF1E4, (q15_t)0x80CD, (q15_t)0xF1B2,
+	(q15_t)0x80D2, (q15_t)0xF180, (q15_t)0x80D8, (q15_t)0xF14E,
+	(q15_t)0x80DE, (q15_t)0xF11C, (q15_t)0x80E4, (q15_t)0xF0EA,
+	(q15_t)0x80EA, (q15_t)0xF0B8, (q15_t)0x80F0, (q15_t)0xF086,
+	(q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x80FC, (q15_t)0xF022,
+	(q15_t)0x8102, (q15_t)0xEFF1, (q15_t)0x8109, (q15_t)0xEFBF,
+	(q15_t)0x810F, (q15_t)0xEF8D, (q15_t)0x8116, (q15_t)0xEF5B,
+	(q15_t)0x811C, (q15_t)0xEF29, (q15_t)0x8123, (q15_t)0xEEF7,
+	(q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8130, (q15_t)0xEE94,
+	(q15_t)0x8137, (q15_t)0xEE62, (q15_t)0x813E, (q15_t)0xEE30,
+	(q15_t)0x8145, (q15_t)0xEDFE, (q15_t)0x814C, (q15_t)0xEDCD,
+	(q15_t)0x8154, (q15_t)0xED9B, (q15_t)0x815B, (q15_t)0xED69,
+	(q15_t)0x8162, (q15_t)0xED37, (q15_t)0x816A, (q15_t)0xED06,
+	(q15_t)0x8171, (q15_t)0xECD4, (q15_t)0x8179, (q15_t)0xECA2,
+	(q15_t)0x8180, (q15_t)0xEC71, (q15_t)0x8188, (q15_t)0xEC3F,
+	(q15_t)0x8190, (q15_t)0xEC0D, (q15_t)0x8198, (q15_t)0xEBDC,
+	(q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81A8, (q15_t)0xEB78,
+	(q15_t)0x81B0, (q15_t)0xEB47, (q15_t)0x81B8, (q15_t)0xEB15,
+	(q15_t)0x81C0, (q15_t)0xEAE4, (q15_t)0x81C8, (q15_t)0xEAB2,
+	(q15_t)0x81D1, (q15_t)0xEA80, (q15_t)0x81D9, (q15_t)0xEA4F,
+	(q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x81EB, (q15_t)0xE9EC,
+	(q15_t)0x81F3, (q15_t)0xE9BA, (q15_t)0x81FC, (q15_t)0xE989,
+	(q15_t)0x8205, (q15_t)0xE957, (q15_t)0x820E, (q15_t)0xE926,
+	(q15_t)0x8217, (q15_t)0xE8F5, (q15_t)0x8220, (q15_t)0xE8C3,
+	(q15_t)0x8229, (q15_t)0xE892, (q15_t)0x8232, (q15_t)0xE860,
+	(q15_t)0x823C, (q15_t)0xE82F, (q15_t)0x8245, (q15_t)0xE7FD,
+	(q15_t)0x824F, (q15_t)0xE7CC, (q15_t)0x8258, (q15_t)0xE79B,
+	(q15_t)0x8262, (q15_t)0xE769, (q15_t)0x826B, (q15_t)0xE738,
+	(q15_t)0x8275, (q15_t)0xE707, (q15_t)0x827F, (q15_t)0xE6D5,
+	(q15_t)0x8289, (q15_t)0xE6A4, (q15_t)0x8293, (q15_t)0xE673,
+	(q15_t)0x829D, (q15_t)0xE642, (q15_t)0x82A7, (q15_t)0xE610,
+	(q15_t)0x82B1, (q15_t)0xE5DF, (q15_t)0x82BC, (q15_t)0xE5AE,
+	(q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82D0, (q15_t)0xE54C,
+	(q15_t)0x82DB, (q15_t)0xE51B, (q15_t)0x82E6, (q15_t)0xE4E9,
+	(q15_t)0x82F0, (q15_t)0xE4B8, (q15_t)0x82FB, (q15_t)0xE487,
+	(q15_t)0x8306, (q15_t)0xE456, (q15_t)0x8311, (q15_t)0xE425,
+	(q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8327, (q15_t)0xE3C3,
+	(q15_t)0x8332, (q15_t)0xE392, (q15_t)0x833D, (q15_t)0xE361,
+	(q15_t)0x8348, (q15_t)0xE330, (q15_t)0x8354, (q15_t)0xE2FF,
+	(q15_t)0x835F, (q15_t)0xE2CE, (q15_t)0x836B, (q15_t)0xE29D,
+	(q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x8382, (q15_t)0xE23B,
+	(q15_t)0x838E, (q15_t)0xE20A, (q15_t)0x8399, (q15_t)0xE1DA,
+	(q15_t)0x83A5, (q15_t)0xE1A9, (q15_t)0x83B1, (q15_t)0xE178,
+	(q15_t)0x83BD, (q15_t)0xE147, (q15_t)0x83C9, (q15_t)0xE116,
+	(q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x83E2, (q15_t)0xE0B5,
+	(q15_t)0x83EE, (q15_t)0xE084, (q15_t)0x83FA, (q15_t)0xE053,
+	(q15_t)0x8407, (q15_t)0xE023, (q15_t)0x8414, (q15_t)0xDFF2,
+	(q15_t)0x8420, (q15_t)0xDFC1, (q15_t)0x842D, (q15_t)0xDF91,
+	(q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x8446, (q15_t)0xDF2F,
+	(q15_t)0x8453, (q15_t)0xDEFF, (q15_t)0x8460, (q15_t)0xDECE,
+	(q15_t)0x846D, (q15_t)0xDE9E, (q15_t)0x847B, (q15_t)0xDE6D,
+	(q15_t)0x8488, (q15_t)0xDE3D, (q15_t)0x8495, (q15_t)0xDE0C,
+	(q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84B0, (q15_t)0xDDAB,
+	(q15_t)0x84BD, (q15_t)0xDD7B, (q15_t)0x84CB, (q15_t)0xDD4B,
+	(q15_t)0x84D9, (q15_t)0xDD1A, (q15_t)0x84E6, (q15_t)0xDCEA,
+	(q15_t)0x84F4, (q15_t)0xDCBA, (q15_t)0x8502, (q15_t)0xDC89,
+	(q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x851E, (q15_t)0xDC29,
+	(q15_t)0x852C, (q15_t)0xDBF8, (q15_t)0x853A, (q15_t)0xDBC8,
+	(q15_t)0x8549, (q15_t)0xDB98, (q15_t)0x8557, (q15_t)0xDB68,
+	(q15_t)0x8565, (q15_t)0xDB38, (q15_t)0x8574, (q15_t)0xDB08,
+	(q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x8591, (q15_t)0xDAA7,
+	(q15_t)0x85A0, (q15_t)0xDA77, (q15_t)0x85AF, (q15_t)0xDA47,
+	(q15_t)0x85BD, (q15_t)0xDA17, (q15_t)0x85CC, (q15_t)0xD9E7,
+	(q15_t)0x85DB, (q15_t)0xD9B7, (q15_t)0x85EA, (q15_t)0xD987,
+	(q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8609, (q15_t)0xD927,
+	(q15_t)0x8618, (q15_t)0xD8F8, (q15_t)0x8627, (q15_t)0xD8C8,
+	(q15_t)0x8637, (q15_t)0xD898, (q15_t)0x8646, (q15_t)0xD868,
+	(q15_t)0x8656, (q15_t)0xD838, (q15_t)0x8666, (q15_t)0xD809,
+	(q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x8685, (q15_t)0xD7A9,
+	(q15_t)0x8695, (q15_t)0xD779, (q15_t)0x86A5, (q15_t)0xD74A,
+	(q15_t)0x86B5, (q15_t)0xD71A, (q15_t)0x86C5, (q15_t)0xD6EA,
+	(q15_t)0x86D5, (q15_t)0xD6BB, (q15_t)0x86E6, (q15_t)0xD68B,
+	(q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8706, (q15_t)0xD62C,
+	(q15_t)0x8717, (q15_t)0xD5FD, (q15_t)0x8727, (q15_t)0xD5CD,
+	(q15_t)0x8738, (q15_t)0xD59E, (q15_t)0x8749, (q15_t)0xD56E,
+	(q15_t)0x8759, (q15_t)0xD53F, (q15_t)0x876A, (q15_t)0xD510,
+	(q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x878C, (q15_t)0xD4B1,
+	(q15_t)0x879D, (q15_t)0xD482, (q15_t)0x87AE, (q15_t)0xD452,
+	(q15_t)0x87BF, (q15_t)0xD423, (q15_t)0x87D1, (q15_t)0xD3F4,
+	(q15_t)0x87E2, (q15_t)0xD3C5, (q15_t)0x87F3, (q15_t)0xD396,
+	(q15_t)0x8805, (q15_t)0xD367, (q15_t)0x8816, (q15_t)0xD337,
+	(q15_t)0x8828, (q15_t)0xD308, (q15_t)0x883A, (q15_t)0xD2D9,
+	(q15_t)0x884B, (q15_t)0xD2AA, (q15_t)0x885D, (q15_t)0xD27B,
+	(q15_t)0x886F, (q15_t)0xD24C, (q15_t)0x8881, (q15_t)0xD21D,
+	(q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88A5, (q15_t)0xD1C0,
+	(q15_t)0x88B8, (q15_t)0xD191, (q15_t)0x88CA, (q15_t)0xD162,
+	(q15_t)0x88DC, (q15_t)0xD133, (q15_t)0x88EF, (q15_t)0xD104,
+	(q15_t)0x8901, (q15_t)0xD0D6, (q15_t)0x8914, (q15_t)0xD0A7,
+	(q15_t)0x8926, (q15_t)0xD078, (q15_t)0x8939, (q15_t)0xD04A,
+	(q15_t)0x894C, (q15_t)0xD01B, (q15_t)0x895F, (q15_t)0xCFEC,
+	(q15_t)0x8971, (q15_t)0xCFBE, (q15_t)0x8984, (q15_t)0xCF8F,
+	(q15_t)0x8997, (q15_t)0xCF61, (q15_t)0x89AB, (q15_t)0xCF32,
+	(q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x89D1, (q15_t)0xCED5,
+	(q15_t)0x89E4, (q15_t)0xCEA7, (q15_t)0x89F8, (q15_t)0xCE79,
+	(q15_t)0x8A0B, (q15_t)0xCE4A, (q15_t)0x8A1F, (q15_t)0xCE1C,
+	(q15_t)0x8A33, (q15_t)0xCDEE, (q15_t)0x8A46, (q15_t)0xCDBF,
+	(q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8A6E, (q15_t)0xCD63,
+	(q15_t)0x8A82, (q15_t)0xCD35, (q15_t)0x8A96, (q15_t)0xCD07,
+	(q15_t)0x8AAA, (q15_t)0xCCD9, (q15_t)0x8ABE, (q15_t)0xCCAB,
+	(q15_t)0x8AD2, (q15_t)0xCC7D, (q15_t)0x8AE6, (q15_t)0xCC4F,
+	(q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B0F, (q15_t)0xCBF3,
+	(q15_t)0x8B24, (q15_t)0xCBC5, (q15_t)0x8B38, (q15_t)0xCB97,
+	(q15_t)0x8B4D, (q15_t)0xCB69, (q15_t)0x8B61, (q15_t)0xCB3B,
+	(q15_t)0x8B76, (q15_t)0xCB0D, (q15_t)0x8B8B, (q15_t)0xCAE0,
+	(q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BB5, (q15_t)0xCA84,
+	(q15_t)0x8BCA, (q15_t)0xCA57, (q15_t)0x8BDF, (q15_t)0xCA29,
+	(q15_t)0x8BF4, (q15_t)0xC9FB, (q15_t)0x8C09, (q15_t)0xC9CE,
+	(q15_t)0x8C1F, (q15_t)0xC9A0, (q15_t)0x8C34, (q15_t)0xC973,
+	(q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8C5F, (q15_t)0xC918,
+	(q15_t)0x8C75, (q15_t)0xC8EB, (q15_t)0x8C8A, (q15_t)0xC8BD,
+	(q15_t)0x8CA0, (q15_t)0xC890, (q15_t)0x8CB6, (q15_t)0xC863,
+	(q15_t)0x8CCC, (q15_t)0xC835, (q15_t)0x8CE2, (q15_t)0xC808,
+	(q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D0E, (q15_t)0xC7AE,
+	(q15_t)0x8D24, (q15_t)0xC781, (q15_t)0x8D3A, (q15_t)0xC754,
+	(q15_t)0x8D50, (q15_t)0xC727, (q15_t)0x8D67, (q15_t)0xC6F9,
+	(q15_t)0x8D7D, (q15_t)0xC6CD, (q15_t)0x8D94, (q15_t)0xC6A0,
+	(q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8DC1, (q15_t)0xC646,
+	(q15_t)0x8DD8, (q15_t)0xC619, (q15_t)0x8DEE, (q15_t)0xC5EC,
+	(q15_t)0x8E05, (q15_t)0xC5BF, (q15_t)0x8E1C, (q15_t)0xC593,
+	(q15_t)0x8E33, (q15_t)0xC566, (q15_t)0x8E4A, (q15_t)0xC539,
+	(q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8E79, (q15_t)0xC4E0,
+	(q15_t)0x8E90, (q15_t)0xC4B3, (q15_t)0x8EA7, (q15_t)0xC487,
+	(q15_t)0x8EBE, (q15_t)0xC45A, (q15_t)0x8ED6, (q15_t)0xC42E,
+	(q15_t)0x8EED, (q15_t)0xC402, (q15_t)0x8F05, (q15_t)0xC3D5,
+	(q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F34, (q15_t)0xC37C,
+	(q15_t)0x8F4C, (q15_t)0xC350, (q15_t)0x8F64, (q15_t)0xC324,
+	(q15_t)0x8F7C, (q15_t)0xC2F8, (q15_t)0x8F94, (q15_t)0xC2CC,
+	(q15_t)0x8FAC, (q15_t)0xC29F, (q15_t)0x8FC4, (q15_t)0xC273,
+	(q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x8FF5, (q15_t)0xC21B,
+	(q15_t)0x900D, (q15_t)0xC1EF, (q15_t)0x9025, (q15_t)0xC1C3,
+	(q15_t)0x903E, (q15_t)0xC197, (q15_t)0x9056, (q15_t)0xC16C,
+	(q15_t)0x906F, (q15_t)0xC140, (q15_t)0x9088, (q15_t)0xC114,
+	(q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x90B9, (q15_t)0xC0BC,
+	(q15_t)0x90D2, (q15_t)0xC091, (q15_t)0x90EB, (q15_t)0xC065,
+	(q15_t)0x9104, (q15_t)0xC03A, (q15_t)0x911D, (q15_t)0xC00E,
+	(q15_t)0x9136, (q15_t)0xBFE2, (q15_t)0x9150, (q15_t)0xBFB7,
+	(q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x9182, (q15_t)0xBF60,
+	(q15_t)0x919C, (q15_t)0xBF35, (q15_t)0x91B5, (q15_t)0xBF09,
+	(q15_t)0x91CF, (q15_t)0xBEDE, (q15_t)0x91E8, (q15_t)0xBEB3,
+	(q15_t)0x9202, (q15_t)0xBE88, (q15_t)0x921C, (q15_t)0xBE5D,
+	(q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x924F, (q15_t)0xBE06,
+	(q15_t)0x9269, (q15_t)0xBDDB, (q15_t)0x9283, (q15_t)0xBDB0,
+	(q15_t)0x929D, (q15_t)0xBD85, (q15_t)0x92B7, (q15_t)0xBD5A,
+	(q15_t)0x92D2, (q15_t)0xBD2F, (q15_t)0x92EC, (q15_t)0xBD05,
+	(q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x9321, (q15_t)0xBCAF,
+	(q15_t)0x933B, (q15_t)0xBC84, (q15_t)0x9356, (q15_t)0xBC5A,
+	(q15_t)0x9370, (q15_t)0xBC2F, (q15_t)0x938B, (q15_t)0xBC04,
+	(q15_t)0x93A6, (q15_t)0xBBDA, (q15_t)0x93C0, (q15_t)0xBBAF,
+	(q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x93F6, (q15_t)0xBB5A,
+	(q15_t)0x9411, (q15_t)0xBB30, (q15_t)0x942C, (q15_t)0xBB05,
+	(q15_t)0x9447, (q15_t)0xBADB, (q15_t)0x9463, (q15_t)0xBAB1,
+	(q15_t)0x947E, (q15_t)0xBA87, (q15_t)0x9499, (q15_t)0xBA5C,
+	(q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x94D0, (q15_t)0xBA08,
+	(q15_t)0x94EC, (q15_t)0xB9DE, (q15_t)0x9507, (q15_t)0xB9B4,
+	(q15_t)0x9523, (q15_t)0xB98A, (q15_t)0x953E, (q15_t)0xB960,
+	(q15_t)0x955A, (q15_t)0xB936, (q15_t)0x9576, (q15_t)0xB90C,
+	(q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x95AE, (q15_t)0xB8B9,
+	(q15_t)0x95CA, (q15_t)0xB88F, (q15_t)0x95E6, (q15_t)0xB865,
+	(q15_t)0x9602, (q15_t)0xB83C, (q15_t)0x961E, (q15_t)0xB812,
+	(q15_t)0x963B, (q15_t)0xB7E9, (q15_t)0x9657, (q15_t)0xB7BF,
+	(q15_t)0x9673, (q15_t)0xB796, (q15_t)0x9690, (q15_t)0xB76C,
+	(q15_t)0x96AC, (q15_t)0xB743, (q15_t)0x96C9, (q15_t)0xB719,
+	(q15_t)0x96E6, (q15_t)0xB6F0, (q15_t)0x9702, (q15_t)0xB6C7,
+	(q15_t)0x971F, (q15_t)0xB69E, (q15_t)0x973C, (q15_t)0xB675,
+	(q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9776, (q15_t)0xB622,
+	(q15_t)0x9793, (q15_t)0xB5F9, (q15_t)0x97B0, (q15_t)0xB5D0,
+	(q15_t)0x97CD, (q15_t)0xB5A7, (q15_t)0x97EA, (q15_t)0xB57E,
+	(q15_t)0x9808, (q15_t)0xB556, (q15_t)0x9825, (q15_t)0xB52D,
+	(q15_t)0x9842, (q15_t)0xB504, (q15_t)0x9860, (q15_t)0xB4DB,
+	(q15_t)0x987D, (q15_t)0xB4B3, (q15_t)0x989B, (q15_t)0xB48A,
+	(q15_t)0x98B9, (q15_t)0xB461, (q15_t)0x98D6, (q15_t)0xB439,
+	(q15_t)0x98F4, (q15_t)0xB410, (q15_t)0x9912, (q15_t)0xB3E8,
+	(q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x994E, (q15_t)0xB397,
+	(q15_t)0x996C, (q15_t)0xB36F, (q15_t)0x998A, (q15_t)0xB347,
+	(q15_t)0x99A8, (q15_t)0xB31E, (q15_t)0x99C6, (q15_t)0xB2F6,
+	(q15_t)0x99E5, (q15_t)0xB2CE, (q15_t)0x9A03, (q15_t)0xB2A6,
+	(q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A40, (q15_t)0xB256,
+	(q15_t)0x9A5F, (q15_t)0xB22E, (q15_t)0x9A7D, (q15_t)0xB206,
+	(q15_t)0x9A9C, (q15_t)0xB1DE, (q15_t)0x9ABA, (q15_t)0xB1B7,
+	(q15_t)0x9AD9, (q15_t)0xB18F, (q15_t)0x9AF8, (q15_t)0xB167,
+	(q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B36, (q15_t)0xB118,
+	(q15_t)0x9B55, (q15_t)0xB0F0, (q15_t)0x9B74, (q15_t)0xB0C9,
+	(q15_t)0x9B93, (q15_t)0xB0A1, (q15_t)0x9BB2, (q15_t)0xB07A,
+	(q15_t)0x9BD2, (q15_t)0xB053, (q15_t)0x9BF1, (q15_t)0xB02B,
+	(q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C30, (q15_t)0xAFDD,
+	(q15_t)0x9C4F, (q15_t)0xAFB6, (q15_t)0x9C6F, (q15_t)0xAF8F,
+	(q15_t)0x9C8E, (q15_t)0xAF68, (q15_t)0x9CAE, (q15_t)0xAF40,
+	(q15_t)0x9CCE, (q15_t)0xAF1A, (q15_t)0x9CEE, (q15_t)0xAEF3,
+	(q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D2D, (q15_t)0xAEA5,
+	(q15_t)0x9D4D, (q15_t)0xAE7E, (q15_t)0x9D6D, (q15_t)0xAE57,
+	(q15_t)0x9D8E, (q15_t)0xAE31, (q15_t)0x9DAE, (q15_t)0xAE0A,
+	(q15_t)0x9DCE, (q15_t)0xADE3, (q15_t)0x9DEE, (q15_t)0xADBD,
+	(q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E2F, (q15_t)0xAD70,
+	(q15_t)0x9E4F, (q15_t)0xAD4A, (q15_t)0x9E70, (q15_t)0xAD23,
+	(q15_t)0x9E90, (q15_t)0xACFD, (q15_t)0x9EB1, (q15_t)0xACD7,
+	(q15_t)0x9ED2, (q15_t)0xACB1, (q15_t)0x9EF2, (q15_t)0xAC8A,
+	(q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F34, (q15_t)0xAC3E,
+	(q15_t)0x9F55, (q15_t)0xAC18, (q15_t)0x9F76, (q15_t)0xABF2,
+	(q15_t)0x9F97, (q15_t)0xABCC, (q15_t)0x9FB8, (q15_t)0xABA7,
+	(q15_t)0x9FD9, (q15_t)0xAB81, (q15_t)0x9FFB, (q15_t)0xAB5B,
+	(q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA03D, (q15_t)0xAB10,
+	(q15_t)0xA05F, (q15_t)0xAAEA, (q15_t)0xA080, (q15_t)0xAAC5,
+	(q15_t)0xA0A1, (q15_t)0xAA9F, (q15_t)0xA0C3, (q15_t)0xAA7A,
+	(q15_t)0xA0E5, (q15_t)0xAA54, (q15_t)0xA106, (q15_t)0xAA2F,
+	(q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA14A, (q15_t)0xA9E5,
+	(q15_t)0xA16C, (q15_t)0xA9BF, (q15_t)0xA18E, (q15_t)0xA99A,
+	(q15_t)0xA1AF, (q15_t)0xA975, (q15_t)0xA1D2, (q15_t)0xA950,
+	(q15_t)0xA1F4, (q15_t)0xA92B, (q15_t)0xA216, (q15_t)0xA906,
+	(q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA25A, (q15_t)0xA8BD,
+	(q15_t)0xA27C, (q15_t)0xA898, (q15_t)0xA29F, (q15_t)0xA873,
+	(q15_t)0xA2C1, (q15_t)0xA84F, (q15_t)0xA2E4, (q15_t)0xA82A,
+	(q15_t)0xA306, (q15_t)0xA806, (q15_t)0xA329, (q15_t)0xA7E1,
+	(q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA36E, (q15_t)0xA798,
+	(q15_t)0xA391, (q15_t)0xA774, (q15_t)0xA3B4, (q15_t)0xA750,
+	(q15_t)0xA3D6, (q15_t)0xA72B, (q15_t)0xA3F9, (q15_t)0xA707,
+	(q15_t)0xA41C, (q15_t)0xA6E3, (q15_t)0xA43F, (q15_t)0xA6BF,
+	(q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA486, (q15_t)0xA677,
+	(q15_t)0xA4A9, (q15_t)0xA653, (q15_t)0xA4CC, (q15_t)0xA62F,
+	(q15_t)0xA4EF, (q15_t)0xA60C, (q15_t)0xA513, (q15_t)0xA5E8,
+	(q15_t)0xA536, (q15_t)0xA5C4, (q15_t)0xA55A, (q15_t)0xA5A1,
+	(q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA5A1, (q15_t)0xA55A,
+	(q15_t)0xA5C4, (q15_t)0xA536, (q15_t)0xA5E8, (q15_t)0xA513,
+	(q15_t)0xA60C, (q15_t)0xA4EF, (q15_t)0xA62F, (q15_t)0xA4CC,
+	(q15_t)0xA653, (q15_t)0xA4A9, (q15_t)0xA677, (q15_t)0xA486,
+	(q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA6BF, (q15_t)0xA43F,
+	(q15_t)0xA6E3, (q15_t)0xA41C, (q15_t)0xA707, (q15_t)0xA3F9,
+	(q15_t)0xA72B, (q15_t)0xA3D6, (q15_t)0xA750, (q15_t)0xA3B4,
+	(q15_t)0xA774, (q15_t)0xA391, (q15_t)0xA798, (q15_t)0xA36E,
+	(q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA7E1, (q15_t)0xA329,
+	(q15_t)0xA806, (q15_t)0xA306, (q15_t)0xA82A, (q15_t)0xA2E4,
+	(q15_t)0xA84F, (q15_t)0xA2C1, (q15_t)0xA873, (q15_t)0xA29F,
+	(q15_t)0xA898, (q15_t)0xA27C, (q15_t)0xA8BD, (q15_t)0xA25A,
+	(q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA906, (q15_t)0xA216,
+	(q15_t)0xA92B, (q15_t)0xA1F4, (q15_t)0xA950, (q15_t)0xA1D2,
+	(q15_t)0xA975, (q15_t)0xA1AF, (q15_t)0xA99A, (q15_t)0xA18E,
+	(q15_t)0xA9BF, (q15_t)0xA16C, (q15_t)0xA9E5, (q15_t)0xA14A,
+	(q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA2F, (q15_t)0xA106,
+	(q15_t)0xAA54, (q15_t)0xA0E5, (q15_t)0xAA7A, (q15_t)0xA0C3,
+	(q15_t)0xAA9F, (q15_t)0xA0A1, (q15_t)0xAAC5, (q15_t)0xA080,
+	(q15_t)0xAAEA, (q15_t)0xA05F, (q15_t)0xAB10, (q15_t)0xA03D,
+	(q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xAB5B, (q15_t)0x9FFB,
+	(q15_t)0xAB81, (q15_t)0x9FD9, (q15_t)0xABA7, (q15_t)0x9FB8,
+	(q15_t)0xABCC, (q15_t)0x9F97, (q15_t)0xABF2, (q15_t)0x9F76,
+	(q15_t)0xAC18, (q15_t)0x9F55, (q15_t)0xAC3E, (q15_t)0x9F34,
+	(q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xAC8A, (q15_t)0x9EF2,
+	(q15_t)0xACB1, (q15_t)0x9ED2, (q15_t)0xACD7, (q15_t)0x9EB1,
+	(q15_t)0xACFD, (q15_t)0x9E90, (q15_t)0xAD23, (q15_t)0x9E70,
+	(q15_t)0xAD4A, (q15_t)0x9E4F, (q15_t)0xAD70, (q15_t)0x9E2F,
+	(q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xADBD, (q15_t)0x9DEE,
+	(q15_t)0xADE3, (q15_t)0x9DCE, (q15_t)0xAE0A, (q15_t)0x9DAE,
+	(q15_t)0xAE31, (q15_t)0x9D8E, (q15_t)0xAE57, (q15_t)0x9D6D,
+	(q15_t)0xAE7E, (q15_t)0x9D4D, (q15_t)0xAEA5, (q15_t)0x9D2D,
+	(q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAEF3, (q15_t)0x9CEE,
+	(q15_t)0xAF1A, (q15_t)0x9CCE, (q15_t)0xAF40, (q15_t)0x9CAE,
+	(q15_t)0xAF68, (q15_t)0x9C8E, (q15_t)0xAF8F, (q15_t)0x9C6F,
+	(q15_t)0xAFB6, (q15_t)0x9C4F, (q15_t)0xAFDD, (q15_t)0x9C30,
+	(q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB02B, (q15_t)0x9BF1,
+	(q15_t)0xB053, (q15_t)0x9BD2, (q15_t)0xB07A, (q15_t)0x9BB2,
+	(q15_t)0xB0A1, (q15_t)0x9B93, (q15_t)0xB0C9, (q15_t)0x9B74,
+	(q15_t)0xB0F0, (q15_t)0x9B55, (q15_t)0xB118, (q15_t)0x9B36,
+	(q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB167, (q15_t)0x9AF8,
+	(q15_t)0xB18F, (q15_t)0x9AD9, (q15_t)0xB1B7, (q15_t)0x9ABA,
+	(q15_t)0xB1DE, (q15_t)0x9A9C, (q15_t)0xB206, (q15_t)0x9A7D,
+	(q15_t)0xB22E, (q15_t)0x9A5F, (q15_t)0xB256, (q15_t)0x9A40,
+	(q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB2A6, (q15_t)0x9A03,
+	(q15_t)0xB2CE, (q15_t)0x99E5, (q15_t)0xB2F6, (q15_t)0x99C6,
+	(q15_t)0xB31E, (q15_t)0x99A8, (q15_t)0xB347, (q15_t)0x998A,
+	(q15_t)0xB36F, (q15_t)0x996C, (q15_t)0xB397, (q15_t)0x994E,
+	(q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB3E8, (q15_t)0x9912,
+	(q15_t)0xB410, (q15_t)0x98F4, (q15_t)0xB439, (q15_t)0x98D6,
+	(q15_t)0xB461, (q15_t)0x98B9, (q15_t)0xB48A, (q15_t)0x989B,
+	(q15_t)0xB4B3, (q15_t)0x987D, (q15_t)0xB4DB, (q15_t)0x9860,
+	(q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB52D, (q15_t)0x9825,
+	(q15_t)0xB556, (q15_t)0x9808, (q15_t)0xB57E, (q15_t)0x97EA,
+	(q15_t)0xB5A7, (q15_t)0x97CD, (q15_t)0xB5D0, (q15_t)0x97B0,
+	(q15_t)0xB5F9, (q15_t)0x9793, (q15_t)0xB622, (q15_t)0x9776,
+	(q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB675, (q15_t)0x973C,
+	(q15_t)0xB69E, (q15_t)0x971F, (q15_t)0xB6C7, (q15_t)0x9702,
+	(q15_t)0xB6F0, (q15_t)0x96E6, (q15_t)0xB719, (q15_t)0x96C9,
+	(q15_t)0xB743, (q15_t)0x96AC, (q15_t)0xB76C, (q15_t)0x9690,
+	(q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB7BF, (q15_t)0x9657,
+	(q15_t)0xB7E9, (q15_t)0x963B, (q15_t)0xB812, (q15_t)0x961E,
+	(q15_t)0xB83C, (q15_t)0x9602, (q15_t)0xB865, (q15_t)0x95E6,
+	(q15_t)0xB88F, (q15_t)0x95CA, (q15_t)0xB8B9, (q15_t)0x95AE,
+	(q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB90C, (q15_t)0x9576,
+	(q15_t)0xB936, (q15_t)0x955A, (q15_t)0xB960, (q15_t)0x953E,
+	(q15_t)0xB98A, (q15_t)0x9523, (q15_t)0xB9B4, (q15_t)0x9507,
+	(q15_t)0xB9DE, (q15_t)0x94EC, (q15_t)0xBA08, (q15_t)0x94D0,
+	(q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBA5C, (q15_t)0x9499,
+	(q15_t)0xBA87, (q15_t)0x947E, (q15_t)0xBAB1, (q15_t)0x9463,
+	(q15_t)0xBADB, (q15_t)0x9447, (q15_t)0xBB05, (q15_t)0x942C,
+	(q15_t)0xBB30, (q15_t)0x9411, (q15_t)0xBB5A, (q15_t)0x93F6,
+	(q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBBAF, (q15_t)0x93C0,
+	(q15_t)0xBBDA, (q15_t)0x93A6, (q15_t)0xBC04, (q15_t)0x938B,
+	(q15_t)0xBC2F, (q15_t)0x9370, (q15_t)0xBC5A, (q15_t)0x9356,
+	(q15_t)0xBC84, (q15_t)0x933B, (q15_t)0xBCAF, (q15_t)0x9321,
+	(q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD05, (q15_t)0x92EC,
+	(q15_t)0xBD2F, (q15_t)0x92D2, (q15_t)0xBD5A, (q15_t)0x92B7,
+	(q15_t)0xBD85, (q15_t)0x929D, (q15_t)0xBDB0, (q15_t)0x9283,
+	(q15_t)0xBDDB, (q15_t)0x9269, (q15_t)0xBE06, (q15_t)0x924F,
+	(q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBE5D, (q15_t)0x921C,
+	(q15_t)0xBE88, (q15_t)0x9202, (q15_t)0xBEB3, (q15_t)0x91E8,
+	(q15_t)0xBEDE, (q15_t)0x91CF, (q15_t)0xBF09, (q15_t)0x91B5,
+	(q15_t)0xBF35, (q15_t)0x919C, (q15_t)0xBF60, (q15_t)0x9182,
+	(q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xBFB7, (q15_t)0x9150,
+	(q15_t)0xBFE2, (q15_t)0x9136, (q15_t)0xC00E, (q15_t)0x911D,
+	(q15_t)0xC03A, (q15_t)0x9104, (q15_t)0xC065, (q15_t)0x90EB,
+	(q15_t)0xC091, (q15_t)0x90D2, (q15_t)0xC0BC, (q15_t)0x90B9,
+	(q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC114, (q15_t)0x9088,
+	(q15_t)0xC140, (q15_t)0x906F, (q15_t)0xC16C, (q15_t)0x9056,
+	(q15_t)0xC197, (q15_t)0x903E, (q15_t)0xC1C3, (q15_t)0x9025,
+	(q15_t)0xC1EF, (q15_t)0x900D, (q15_t)0xC21B, (q15_t)0x8FF5,
+	(q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC273, (q15_t)0x8FC4,
+	(q15_t)0xC29F, (q15_t)0x8FAC, (q15_t)0xC2CC, (q15_t)0x8F94,
+	(q15_t)0xC2F8, (q15_t)0x8F7C, (q15_t)0xC324, (q15_t)0x8F64,
+	(q15_t)0xC350, (q15_t)0x8F4C, (q15_t)0xC37C, (q15_t)0x8F34,
+	(q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC3D5, (q15_t)0x8F05,
+	(q15_t)0xC402, (q15_t)0x8EED, (q15_t)0xC42E, (q15_t)0x8ED6,
+	(q15_t)0xC45A, (q15_t)0x8EBE, (q15_t)0xC487, (q15_t)0x8EA7,
+	(q15_t)0xC4B3, (q15_t)0x8E90, (q15_t)0xC4E0, (q15_t)0x8E79,
+	(q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC539, (q15_t)0x8E4A,
+	(q15_t)0xC566, (q15_t)0x8E33, (q15_t)0xC593, (q15_t)0x8E1C,
+	(q15_t)0xC5BF, (q15_t)0x8E05, (q15_t)0xC5EC, (q15_t)0x8DEE,
+	(q15_t)0xC619, (q15_t)0x8DD8, (q15_t)0xC646, (q15_t)0x8DC1,
+	(q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC6A0, (q15_t)0x8D94,
+	(q15_t)0xC6CD, (q15_t)0x8D7D, (q15_t)0xC6F9, (q15_t)0x8D67,
+	(q15_t)0xC727, (q15_t)0x8D50, (q15_t)0xC754, (q15_t)0x8D3A,
+	(q15_t)0xC781, (q15_t)0x8D24, (q15_t)0xC7AE, (q15_t)0x8D0E,
+	(q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC808, (q15_t)0x8CE2,
+	(q15_t)0xC835, (q15_t)0x8CCC, (q15_t)0xC863, (q15_t)0x8CB6,
+	(q15_t)0xC890, (q15_t)0x8CA0, (q15_t)0xC8BD, (q15_t)0x8C8A,
+	(q15_t)0xC8EB, (q15_t)0x8C75, (q15_t)0xC918, (q15_t)0x8C5F,
+	(q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC973, (q15_t)0x8C34,
+	(q15_t)0xC9A0, (q15_t)0x8C1F, (q15_t)0xC9CE, (q15_t)0x8C09,
+	(q15_t)0xC9FB, (q15_t)0x8BF4, (q15_t)0xCA29, (q15_t)0x8BDF,
+	(q15_t)0xCA57, (q15_t)0x8BCA, (q15_t)0xCA84, (q15_t)0x8BB5,
+	(q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCAE0, (q15_t)0x8B8B,
+	(q15_t)0xCB0D, (q15_t)0x8B76, (q15_t)0xCB3B, (q15_t)0x8B61,
+	(q15_t)0xCB69, (q15_t)0x8B4D, (q15_t)0xCB97, (q15_t)0x8B38,
+	(q15_t)0xCBC5, (q15_t)0x8B24, (q15_t)0xCBF3, (q15_t)0x8B0F,
+	(q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCC4F, (q15_t)0x8AE6,
+	(q15_t)0xCC7D, (q15_t)0x8AD2, (q15_t)0xCCAB, (q15_t)0x8ABE,
+	(q15_t)0xCCD9, (q15_t)0x8AAA, (q15_t)0xCD07, (q15_t)0x8A96,
+	(q15_t)0xCD35, (q15_t)0x8A82, (q15_t)0xCD63, (q15_t)0x8A6E,
+	(q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCDBF, (q15_t)0x8A46,
+	(q15_t)0xCDEE, (q15_t)0x8A33, (q15_t)0xCE1C, (q15_t)0x8A1F,
+	(q15_t)0xCE4A, (q15_t)0x8A0B, (q15_t)0xCE79, (q15_t)0x89F8,
+	(q15_t)0xCEA7, (q15_t)0x89E4, (q15_t)0xCED5, (q15_t)0x89D1,
+	(q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCF32, (q15_t)0x89AB,
+	(q15_t)0xCF61, (q15_t)0x8997, (q15_t)0xCF8F, (q15_t)0x8984,
+	(q15_t)0xCFBE, (q15_t)0x8971, (q15_t)0xCFEC, (q15_t)0x895F,
+	(q15_t)0xD01B, (q15_t)0x894C, (q15_t)0xD04A, (q15_t)0x8939,
+	(q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD0A7, (q15_t)0x8914,
+	(q15_t)0xD0D6, (q15_t)0x8901, (q15_t)0xD104, (q15_t)0x88EF,
+	(q15_t)0xD133, (q15_t)0x88DC, (q15_t)0xD162, (q15_t)0x88CA,
+	(q15_t)0xD191, (q15_t)0x88B8, (q15_t)0xD1C0, (q15_t)0x88A5,
+	(q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD21D, (q15_t)0x8881,
+	(q15_t)0xD24C, (q15_t)0x886F, (q15_t)0xD27B, (q15_t)0x885D,
+	(q15_t)0xD2AA, (q15_t)0x884B, (q15_t)0xD2D9, (q15_t)0x883A,
+	(q15_t)0xD308, (q15_t)0x8828, (q15_t)0xD337, (q15_t)0x8816,
+	(q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD396, (q15_t)0x87F3,
+	(q15_t)0xD3C5, (q15_t)0x87E2, (q15_t)0xD3F4, (q15_t)0x87D1,
+	(q15_t)0xD423, (q15_t)0x87BF, (q15_t)0xD452, (q15_t)0x87AE,
+	(q15_t)0xD482, (q15_t)0x879D, (q15_t)0xD4B1, (q15_t)0x878C,
+	(q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD510, (q15_t)0x876A,
+	(q15_t)0xD53F, (q15_t)0x8759, (q15_t)0xD56E, (q15_t)0x8749,
+	(q15_t)0xD59E, (q15_t)0x8738, (q15_t)0xD5CD, (q15_t)0x8727,
+	(q15_t)0xD5FD, (q15_t)0x8717, (q15_t)0xD62C, (q15_t)0x8706,
+	(q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD68B, (q15_t)0x86E6,
+	(q15_t)0xD6BB, (q15_t)0x86D5, (q15_t)0xD6EA, (q15_t)0x86C5,
+	(q15_t)0xD71A, (q15_t)0x86B5, (q15_t)0xD74A, (q15_t)0x86A5,
+	(q15_t)0xD779, (q15_t)0x8695, (q15_t)0xD7A9, (q15_t)0x8685,
+	(q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD809, (q15_t)0x8666,
+	(q15_t)0xD838, (q15_t)0x8656, (q15_t)0xD868, (q15_t)0x8646,
+	(q15_t)0xD898, (q15_t)0x8637, (q15_t)0xD8C8, (q15_t)0x8627,
+	(q15_t)0xD8F8, (q15_t)0x8618, (q15_t)0xD927, (q15_t)0x8609,
+	(q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xD987, (q15_t)0x85EA,
+	(q15_t)0xD9B7, (q15_t)0x85DB, (q15_t)0xD9E7, (q15_t)0x85CC,
+	(q15_t)0xDA17, (q15_t)0x85BD, (q15_t)0xDA47, (q15_t)0x85AF,
+	(q15_t)0xDA77, (q15_t)0x85A0, (q15_t)0xDAA7, (q15_t)0x8591,
+	(q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB08, (q15_t)0x8574,
+	(q15_t)0xDB38, (q15_t)0x8565, (q15_t)0xDB68, (q15_t)0x8557,
+	(q15_t)0xDB98, (q15_t)0x8549, (q15_t)0xDBC8, (q15_t)0x853A,
+	(q15_t)0xDBF8, (q15_t)0x852C, (q15_t)0xDC29, (q15_t)0x851E,
+	(q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDC89, (q15_t)0x8502,
+	(q15_t)0xDCBA, (q15_t)0x84F4, (q15_t)0xDCEA, (q15_t)0x84E6,
+	(q15_t)0xDD1A, (q15_t)0x84D9, (q15_t)0xDD4B, (q15_t)0x84CB,
+	(q15_t)0xDD7B, (q15_t)0x84BD, (q15_t)0xDDAB, (q15_t)0x84B0,
+	(q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE0C, (q15_t)0x8495,
+	(q15_t)0xDE3D, (q15_t)0x8488, (q15_t)0xDE6D, (q15_t)0x847B,
+	(q15_t)0xDE9E, (q15_t)0x846D, (q15_t)0xDECE, (q15_t)0x8460,
+	(q15_t)0xDEFF, (q15_t)0x8453, (q15_t)0xDF2F, (q15_t)0x8446,
+	(q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xDF91, (q15_t)0x842D,
+	(q15_t)0xDFC1, (q15_t)0x8420, (q15_t)0xDFF2, (q15_t)0x8414,
+	(q15_t)0xE023, (q15_t)0x8407, (q15_t)0xE053, (q15_t)0x83FA,
+	(q15_t)0xE084, (q15_t)0x83EE, (q15_t)0xE0B5, (q15_t)0x83E2,
+	(q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE116, (q15_t)0x83C9,
+	(q15_t)0xE147, (q15_t)0x83BD, (q15_t)0xE178, (q15_t)0x83B1,
+	(q15_t)0xE1A9, (q15_t)0x83A5, (q15_t)0xE1DA, (q15_t)0x8399,
+	(q15_t)0xE20A, (q15_t)0x838E, (q15_t)0xE23B, (q15_t)0x8382,
+	(q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE29D, (q15_t)0x836B,
+	(q15_t)0xE2CE, (q15_t)0x835F, (q15_t)0xE2FF, (q15_t)0x8354,
+	(q15_t)0xE330, (q15_t)0x8348, (q15_t)0xE361, (q15_t)0x833D,
+	(q15_t)0xE392, (q15_t)0x8332, (q15_t)0xE3C3, (q15_t)0x8327,
+	(q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE425, (q15_t)0x8311,
+	(q15_t)0xE456, (q15_t)0x8306, (q15_t)0xE487, (q15_t)0x82FB,
+	(q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE4E9, (q15_t)0x82E6,
+	(q15_t)0xE51B, (q15_t)0x82DB, (q15_t)0xE54C, (q15_t)0x82D0,
+	(q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5AE, (q15_t)0x82BC,
+	(q15_t)0xE5DF, (q15_t)0x82B1, (q15_t)0xE610, (q15_t)0x82A7,
+	(q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE673, (q15_t)0x8293,
+	(q15_t)0xE6A4, (q15_t)0x8289, (q15_t)0xE6D5, (q15_t)0x827F,
+	(q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE738, (q15_t)0x826B,
+	(q15_t)0xE769, (q15_t)0x8262, (q15_t)0xE79B, (q15_t)0x8258,
+	(q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE7FD, (q15_t)0x8245,
+	(q15_t)0xE82F, (q15_t)0x823C, (q15_t)0xE860, (q15_t)0x8232,
+	(q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8C3, (q15_t)0x8220,
+	(q15_t)0xE8F5, (q15_t)0x8217, (q15_t)0xE926, (q15_t)0x820E,
+	(q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE989, (q15_t)0x81FC,
+	(q15_t)0xE9BA, (q15_t)0x81F3, (q15_t)0xE9EC, (q15_t)0x81EB,
+	(q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA4F, (q15_t)0x81D9,
+	(q15_t)0xEA80, (q15_t)0x81D1, (q15_t)0xEAB2, (q15_t)0x81C8,
+	(q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB15, (q15_t)0x81B8,
+	(q15_t)0xEB47, (q15_t)0x81B0, (q15_t)0xEB78, (q15_t)0x81A8,
+	(q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEBDC, (q15_t)0x8198,
+	(q15_t)0xEC0D, (q15_t)0x8190, (q15_t)0xEC3F, (q15_t)0x8188,
+	(q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECA2, (q15_t)0x8179,
+	(q15_t)0xECD4, (q15_t)0x8171, (q15_t)0xED06, (q15_t)0x816A,
+	(q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED69, (q15_t)0x815B,
+	(q15_t)0xED9B, (q15_t)0x8154, (q15_t)0xEDCD, (q15_t)0x814C,
+	(q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE30, (q15_t)0x813E,
+	(q15_t)0xEE62, (q15_t)0x8137, (q15_t)0xEE94, (q15_t)0x8130,
+	(q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEEF7, (q15_t)0x8123,
+	(q15_t)0xEF29, (q15_t)0x811C, (q15_t)0xEF5B, (q15_t)0x8116,
+	(q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFBF, (q15_t)0x8109,
+	(q15_t)0xEFF1, (q15_t)0x8102, (q15_t)0xF022, (q15_t)0x80FC,
+	(q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF086, (q15_t)0x80F0,
+	(q15_t)0xF0B8, (q15_t)0x80EA, (q15_t)0xF0EA, (q15_t)0x80E4,
+	(q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF14E, (q15_t)0x80D8,
+	(q15_t)0xF180, (q15_t)0x80D2, (q15_t)0xF1B2, (q15_t)0x80CD,
+	(q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF216, (q15_t)0x80C2,
+	(q15_t)0xF248, (q15_t)0x80BC, (q15_t)0xF27A, (q15_t)0x80B7,
+	(q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF2DE, (q15_t)0x80AC,
+	(q15_t)0xF310, (q15_t)0x80A7, (q15_t)0xF342, (q15_t)0x80A2,
+	(q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3A6, (q15_t)0x8098,
+	(q15_t)0xF3D8, (q15_t)0x8094, (q15_t)0xF40A, (q15_t)0x808F,
+	(q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF46E, (q15_t)0x8086,
+	(q15_t)0xF4A0, (q15_t)0x8081, (q15_t)0xF4D2, (q15_t)0x807D,
+	(q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF536, (q15_t)0x8074,
+	(q15_t)0xF568, (q15_t)0x8070, (q15_t)0xF59A, (q15_t)0x806C,
+	(q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF5FF, (q15_t)0x8064,
+	(q15_t)0xF631, (q15_t)0x8060, (q15_t)0xF663, (q15_t)0x805C,
+	(q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6C7, (q15_t)0x8055,
+	(q15_t)0xF6F9, (q15_t)0x8051, (q15_t)0xF72B, (q15_t)0x804E,
+	(q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF790, (q15_t)0x8047,
+	(q15_t)0xF7C2, (q15_t)0x8043, (q15_t)0xF7F4, (q15_t)0x8040,
+	(q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF858, (q15_t)0x803A,
+	(q15_t)0xF88A, (q15_t)0x8037, (q15_t)0xF8BD, (q15_t)0x8034,
+	(q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF921, (q15_t)0x802F,
+	(q15_t)0xF953, (q15_t)0x802C, (q15_t)0xF985, (q15_t)0x8029,
+	(q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xF9EA, (q15_t)0x8025,
+	(q15_t)0xFA1C, (q15_t)0x8022, (q15_t)0xFA4E, (q15_t)0x8020,
+	(q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAB3, (q15_t)0x801C,
+	(q15_t)0xFAE5, (q15_t)0x801A, (q15_t)0xFB17, (q15_t)0x8018,
+	(q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFB7C, (q15_t)0x8014,
+	(q15_t)0xFBAE, (q15_t)0x8012, (q15_t)0xFBE0, (q15_t)0x8011,
+	(q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC45, (q15_t)0x800D,
+	(q15_t)0xFC77, (q15_t)0x800C, (q15_t)0xFCA9, (q15_t)0x800B,
+	(q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD0E, (q15_t)0x8008,
+	(q15_t)0xFD40, (q15_t)0x8007, (q15_t)0xFD72, (q15_t)0x8006,
+	(q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFDD7, (q15_t)0x8004,
+	(q15_t)0xFE09, (q15_t)0x8003, (q15_t)0xFE3B, (q15_t)0x8003,
+	(q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFEA0, (q15_t)0x8001,
+	(q15_t)0xFED2, (q15_t)0x8001, (q15_t)0xFF04, (q15_t)0x8000,
+	(q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF69, (q15_t)0x8000,
+	(q15_t)0xFF9B, (q15_t)0x8000, (q15_t)0xFFCD, (q15_t)0x8000
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+/**
+  @} end of CFFT_CIFFT group
+*/
+
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_16)
+
+const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH] =
+{
+   /* 8x2, size 20 */
+   8,64, 24,72, 16,64, 40,80, 32,64, 56,88, 48,72, 88,104, 72,96, 104,112
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_32)
+
+const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH] =
+{
+   /* 8x4, size 48 */
+   8,64, 16,128, 24,192, 32,64, 40,72, 48,136, 56,200, 64,128, 72,80, 88,208,
+   80,144, 96,192, 104,208, 112,152, 120,216, 136,192, 144,160, 168,208,
+   152,224, 176,208, 184,232, 216,240, 200,224, 232,240
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_64)
+
+const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH] =
+{
+   /* radix 8, size 56 */
+   8,64, 16,128, 24,192, 32,256, 40,320, 48,384, 56,448, 80,136, 88,200,
+   96,264, 104,328, 112,392, 120,456, 152,208, 160,272, 168,336, 176,400,
+   184,464, 224,280, 232,344, 240,408, 248,472, 296,352, 304,416, 312,480,
+   368,424, 376,488, 440,496
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_128)
+
+const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH] =
+{
+   /* 8x2, size 208 */
+   8,512, 16,64, 24,576, 32,128, 40,640, 48,192, 56,704, 64,256, 72,768,
+   80,320, 88,832, 96,384, 104,896, 112,448, 120,960, 128,512, 136,520,
+   144,768, 152,584, 160,520, 168,648, 176,200, 184,712, 192,264, 200,776,
+   208,328, 216,840, 224,392, 232,904, 240,456, 248,968, 264,528, 272,320,
+   280,592, 288,768, 296,656, 304,328, 312,720, 328,784, 344,848, 352,400,
+   360,912, 368,464, 376,976, 384,576, 392,536, 400,832, 408,600, 416,584,
+   424,664, 432,840, 440,728, 448,592, 456,792, 464,848, 472,856, 480,600,
+   488,920, 496,856, 504,984, 520,544, 528,576, 536,608, 552,672, 560,608,
+   568,736, 576,768, 584,800, 592,832, 600,864, 608,800, 616,928, 624,864,
+   632,992, 648,672, 656,896, 664,928, 688,904, 696,744, 704,896, 712,808,
+   720,912, 728,872, 736,928, 744,936, 752,920, 760,1000, 776,800, 784,832,
+   792,864, 808,904, 816,864, 824,920, 840,864, 856,880, 872,944, 888,1008,
+   904,928, 912,960, 920,992, 944,968, 952,1000, 968,992, 984,1008
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_256)
+
+const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH] =
+{
+   /* 8x4, size 440 */
+   8,512, 16,1024, 24,1536, 32,64, 40,576, 48,1088, 56,1600, 64,128, 72,640,
+   80,1152, 88,1664, 96,192, 104,704, 112,1216, 120,1728, 128,256, 136,768,
+   144,1280, 152,1792, 160,320, 168,832, 176,1344, 184,1856, 192,384,
+   200,896, 208,1408, 216,1920, 224,448, 232,960, 240,1472, 248,1984,
+   256,512, 264,520, 272,1032, 280,1544, 288,640, 296,584, 304,1096, 312,1608,
+   320,768, 328,648, 336,1160, 344,1672, 352,896, 360,712, 368,1224, 376,1736,
+   384,520, 392,776, 400,1288, 408,1800, 416,648, 424,840, 432,1352, 440,1864,
+   448,776, 456,904, 464,1416, 472,1928, 480,904, 488,968, 496,1480, 504,1992,
+   520,528, 512,1024, 528,1040, 536,1552, 544,1152, 552,592, 560,1104,
+   568,1616, 576,1280, 584,656, 592,1168, 600,1680, 608,1408, 616,720,
+   624,1232, 632,1744, 640,1032, 648,784, 656,1296, 664,1808, 672,1160,
+   680,848, 688,1360, 696,1872, 704,1288, 712,912, 720,1424, 728,1936,
+   736,1416, 744,976, 752,1488, 760,2000, 768,1536, 776,1552, 784,1048,
+   792,1560, 800,1664, 808,1680, 816,1112, 824,1624, 832,1792, 840,1808,
+   848,1176, 856,1688, 864,1920, 872,1936, 880,1240, 888,1752, 896,1544,
+   904,1560, 912,1304, 920,1816, 928,1672, 936,1688, 944,1368, 952,1880,
+   960,1800, 968,1816, 976,1432, 984,1944, 992,1928, 1000,1944, 1008,1496,
+   1016,2008, 1032,1152, 1040,1056, 1048,1568, 1064,1408, 1072,1120,
+   1080,1632, 1088,1536, 1096,1160, 1104,1184, 1112,1696, 1120,1552,
+   1128,1416, 1136,1248, 1144,1760, 1160,1664, 1168,1312, 1176,1824,
+   1184,1544, 1192,1920, 1200,1376, 1208,1888, 1216,1568, 1224,1672,
+   1232,1440, 1240,1952, 1248,1560, 1256,1928, 1264,1504, 1272,2016,
+   1288,1312, 1296,1408, 1304,1576, 1320,1424, 1328,1416, 1336,1640,
+   1344,1792, 1352,1824, 1360,1920, 1368,1704, 1376,1800, 1384,1432,
+   1392,1928, 1400,1768, 1416,1680, 1432,1832, 1440,1576, 1448,1936,
+   1456,1832, 1464,1896, 1472,1808, 1480,1688, 1488,1936, 1496,1960,
+   1504,1816, 1512,1944, 1520,1944, 1528,2024, 1560,1584, 1592,1648,
+   1600,1792, 1608,1920, 1616,1800, 1624,1712, 1632,1808, 1640,1936,
+   1648,1816, 1656,1776, 1672,1696, 1688,1840, 1704,1952, 1712,1928,
+   1720,1904, 1728,1824, 1736,1952, 1744,1832, 1752,1968, 1760,1840,
+   1768,1960, 1776,1944, 1784,2032, 1864,1872, 1848,1944, 1872,1888,
+   1880,1904, 1888,1984, 1896,2000, 1912,2032, 1904,2016, 1976,2032,
+   1960,1968, 2008,2032, 1992,2016, 2024,2032
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_512)
+
+const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH] =
+{
+   /* radix 8, size 448 */
+   8,512, 16,1024, 24,1536, 32,2048, 40,2560, 48,3072, 56,3584, 72,576,
+   80,1088, 88,1600, 96,2112, 104,2624, 112,3136, 120,3648, 136,640, 144,1152,
+   152,1664, 160,2176, 168,2688, 176,3200, 184,3712, 200,704, 208,1216,
+   216,1728, 224,2240, 232,2752, 240,3264, 248,3776, 264,768, 272,1280,
+   280,1792, 288,2304, 296,2816, 304,3328, 312,3840, 328,832, 336,1344,
+   344,1856, 352,2368, 360,2880, 368,3392, 376,3904, 392,896, 400,1408,
+   408,1920, 416,2432, 424,2944, 432,3456, 440,3968, 456,960, 464,1472,
+   472,1984, 480,2496, 488,3008, 496,3520, 504,4032, 528,1032, 536,1544,
+   544,2056, 552,2568, 560,3080, 568,3592, 592,1096, 600,1608, 608,2120,
+   616,2632, 624,3144, 632,3656, 656,1160, 664,1672, 672,2184, 680,2696,
+   688,3208, 696,3720, 720,1224, 728,1736, 736,2248, 744,2760, 752,3272,
+   760,3784, 784,1288, 792,1800, 800,2312, 808,2824, 816,3336, 824,3848,
+   848,1352, 856,1864, 864,2376, 872,2888, 880,3400, 888,3912, 912,1416,
+   920,1928, 928,2440, 936,2952, 944,3464, 952,3976, 976,1480, 984,1992,
+   992,2504, 1000,3016, 1008,3528, 1016,4040, 1048,1552, 1056,2064, 1064,2576,
+   1072,3088, 1080,3600, 1112,1616, 1120,2128, 1128,2640, 1136,3152,
+   1144,3664, 1176,1680, 1184,2192, 1192,2704, 1200,3216, 1208,3728,
+   1240,1744, 1248,2256, 1256,2768, 1264,3280, 1272,3792, 1304,1808,
+   1312,2320, 1320,2832, 1328,3344, 1336,3856, 1368,1872, 1376,2384,
+   1384,2896, 1392,3408, 1400,3920, 1432,1936, 1440,2448, 1448,2960,
+   1456,3472, 1464,3984, 1496,2000, 1504,2512, 1512,3024, 1520,3536,
+   1528,4048, 1568,2072, 1576,2584, 1584,3096, 1592,3608, 1632,2136,
+   1640,2648, 1648,3160, 1656,3672, 1696,2200, 1704,2712, 1712,3224,
+   1720,3736, 1760,2264, 1768,2776, 1776,3288, 1784,3800, 1824,2328,
+   1832,2840, 1840,3352, 1848,3864, 1888,2392, 1896,2904, 1904,3416,
+   1912,3928, 1952,2456, 1960,2968, 1968,3480, 1976,3992, 2016,2520,
+   2024,3032, 2032,3544, 2040,4056, 2088,2592, 2096,3104, 2104,3616,
+   2152,2656, 2160,3168, 2168,3680, 2216,2720, 2224,3232, 2232,3744,
+   2280,2784, 2288,3296, 2296,3808, 2344,2848, 2352,3360, 2360,3872,
+   2408,2912, 2416,3424, 2424,3936, 2472,2976, 2480,3488, 2488,4000,
+   2536,3040, 2544,3552, 2552,4064, 2608,3112, 2616,3624, 2672,3176,
+   2680,3688, 2736,3240, 2744,3752, 2800,3304, 2808,3816, 2864,3368,
+   2872,3880, 2928,3432, 2936,3944, 2992,3496, 3000,4008, 3056,3560,
+   3064,4072, 3128,3632, 3192,3696, 3256,3760, 3320,3824, 3384,3888,
+   3448,3952, 3512,4016, 3576,4080
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_1024)
+
+const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH] =
+{
+   /* 8x2, size 1800 */
+   8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048,
+   72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048,
+   136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696,
+   192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648,
+   248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248,
+   304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200,
+   360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800,
+   416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752,
+   472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352,
+   528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304,
+   584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936,
+   640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856,
+   696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488,
+   752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408,
+   808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040,
+   864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960,
+   920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592,
+   976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096,
+   1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544,
+   1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080,
+   1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400,
+   1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120,
+   1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656,
+   1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168,
+   1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696,
+   1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208,
+   1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736,
+   1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272,
+   1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480,
+   1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312,
+   1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848,
+   1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280,
+   1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888,
+   1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288,
+   1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928,
+   1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464,
+   1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592,
+   1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504,
+   1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040,
+   2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136,
+   2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088,
+   2152,7184, 2160,3600, 2168,7696, 2176,2560, 2184,4176, 2192,2816,
+   2200,4688, 2208,2568, 2216,5200, 2224,2824, 2232,5712, 2240,2576,
+   2248,6224, 2256,2640, 2264,6736, 2272,3152, 2280,7248, 2288,3664,
+   2296,7760, 2312,4240, 2320,2432, 2328,4752, 2336,6400, 2344,5264,
+   2352,6528, 2360,5776, 2368,2816, 2376,6288, 2384,2704, 2392,6800,
+   2400,3216, 2408,7312, 2416,3728, 2424,7824, 2432,2624, 2440,4304,
+   2448,2880, 2456,4816, 2464,2632, 2472,5328, 2480,2888, 2488,5840,
+   2496,2640, 2504,6352, 2512,2768, 2520,6864, 2528,3280, 2536,7376,
+   2544,3792, 2552,7888, 2568,4368, 2584,4880, 2592,4416, 2600,5392,
+   2608,4544, 2616,5904, 2632,6416, 2640,2832, 2648,6928, 2656,3344,
+   2664,7440, 2672,3856, 2680,7952, 2696,4432, 2704,2944, 2712,4944,
+   2720,4432, 2728,5456, 2736,2952, 2744,5968, 2752,2944, 2760,6480,
+   2768,2896, 2776,6992, 2784,3408, 2792,7504, 2800,3920, 2808,8016,
+   2824,4496, 2840,5008, 2848,6464, 2856,5520, 2864,6592, 2872,6032,
+   2888,6544, 2896,2960, 2904,7056, 2912,3472, 2920,7568, 2928,3984,
+   2936,8080, 2952,4560, 2960,3008, 2968,5072, 2976,6480, 2984,5584,
+   2992,3016, 3000,6096, 3016,6608, 3032,7120, 3040,3536, 3048,7632,
+   3056,4048, 3064,8144, 3072,4608, 3080,4120, 3088,4864, 3096,4632,
+   3104,4616, 3112,5144, 3120,4872, 3128,5656, 3136,4624, 3144,6168,
+   3152,4880, 3160,6680, 3168,4632, 3176,7192, 3184,3608, 3192,7704,
+   3200,6656, 3208,4184, 3216,6912, 3224,4696, 3232,6664, 3240,5208,
+   3248,6920, 3256,5720, 3264,6672, 3272,6232, 3280,6928, 3288,6744,
+   3296,6680, 3304,7256, 3312,3672, 3320,7768, 3328,4672, 3336,4248,
+   3344,4928, 3352,4760, 3360,4680, 3368,5272, 3376,4936, 3384,5784,
+   3392,4688, 3400,6296, 3408,4944, 3416,6808, 3424,4696, 3432,7320,
+   3440,3736, 3448,7832, 3456,6720, 3464,4312, 3472,6976, 3480,4824,
+   3488,6728, 3496,5336, 3504,6984, 3512,5848, 3520,6736, 3528,6360,
+   3536,6992, 3544,6872, 3552,6744, 3560,7384, 3568,3800, 3576,7896,
+   3584,4736, 3592,4376, 3600,4992, 3608,4888, 3616,4744, 3624,5400,
+   3632,5000, 3640,5912, 3648,4752, 3656,6424, 3664,5008, 3672,6936,
+   3680,4760, 3688,7448, 3696,3864, 3704,7960, 3712,6784, 3720,4440,
+   3728,7040, 3736,4952, 3744,6792, 3752,5464, 3760,7048, 3768,5976,
+   3776,6800, 3784,6488, 3792,7056, 3800,7000, 3808,6808, 3816,7512,
+   3824,3928, 3832,8024, 3840,4800, 3848,4504, 3856,5056, 3864,5016,
+   3872,4808, 3880,5528, 3888,5064, 3896,6040, 3904,4816, 3912,6552,
+   3920,5072, 3928,7064, 3936,4824, 3944,7576, 3952,3992, 3960,8088,
+   3968,6848, 3976,4568, 3984,7104, 3992,5080, 4000,6856, 4008,5592,
+   4016,7112, 4024,6104, 4032,6864, 4040,6616, 4048,7120, 4056,7128,
+   4064,6872, 4072,7640, 4080,7128, 4088,8152, 4104,4128, 4112,4160,
+   4120,4640, 4136,5152, 4144,4232, 4152,5664, 4160,4352, 4168,6176,
+   4176,4416, 4184,6688, 4192,4616, 4200,7200, 4208,4744, 4216,7712,
+   4224,4608, 4232,4616, 4240,4672, 4248,4704, 4256,4640, 4264,5216,
+   4272,4704, 4280,5728, 4288,4864, 4296,6240, 4304,4928, 4312,6752,
+   4320,4632, 4328,7264, 4336,4760, 4344,7776, 4360,4640, 4368,4416,
+   4376,4768, 4384,6152, 4392,5280, 4400,6280, 4408,5792, 4424,6304,
+   4440,6816, 4448,6664, 4456,7328, 4464,6792, 4472,7840, 4480,4624,
+   4488,4632, 4496,4688, 4504,4832, 4512,6168, 4520,5344, 4528,6296,
+   4536,5856, 4544,4880, 4552,6368, 4560,4944, 4568,6880, 4576,6680,
+   4584,7392, 4592,6808, 4600,7904, 4608,6144, 4616,6152, 4624,6208,
+   4632,4896, 4640,6176, 4648,5408, 4656,6240, 4664,5920, 4672,6400,
+   4680,6432, 4688,6464, 4696,6944, 4704,6432, 4712,7456, 4720,4808,
+   4728,7968, 4736,6656, 4744,6664, 4752,6720, 4760,4960, 4768,6688,
+   4776,5472, 4784,6752, 4792,5984, 4800,6912, 4808,6496, 4816,6976,
+   4824,7008, 4832,6944, 4840,7520, 4848,7008, 4856,8032, 4864,6160,
+   4872,6168, 4880,6224, 4888,5024, 4896,6216, 4904,5536, 4912,6344,
+   4920,6048, 4928,6416, 4936,6560, 4944,6480, 4952,7072, 4960,6728,
+   4968,7584, 4976,6856, 4984,8096, 4992,6672, 5000,6680, 5008,6736,
+   5016,5088, 5024,6232, 5032,5600, 5040,6360, 5048,6112, 5056,6928,
+   5064,6624, 5072,6992, 5080,7136, 5088,6744, 5096,7648, 5104,6872,
+   5112,8160, 5128,5152, 5136,5376, 5144,5408, 5168,5384, 5176,5672,
+   5184,5376, 5192,6184, 5200,5392, 5208,6696, 5216,5408, 5224,7208,
+   5232,5400, 5240,7720, 5248,7168, 5256,7200, 5264,7424, 5272,7456,
+   5280,7176, 5288,7208, 5296,7432, 5304,5736, 5312,7184, 5320,6248,
+   5328,7440, 5336,6760, 5344,7192, 5352,7272, 5360,7448, 5368,7784,
+   5384,5408, 5392,5440, 5400,5472, 5408,6184, 5416,7208, 5424,5448,
+   5432,5800, 5448,6312, 5464,6824, 5472,6696, 5480,7336, 5488,6824,
+   5496,7848, 5504,7232, 5512,7264, 5520,7488, 5528,7520, 5536,7240,
+   5544,7272, 5552,7496, 5560,5864, 5568,7248, 5576,6376, 5584,7504,
+   5592,6888, 5600,7256, 5608,7400, 5616,7512, 5624,7912, 5632,7168,
+   5640,7176, 5648,7232, 5656,7240, 5664,7200, 5672,7208, 5680,7264,
+   5688,5928, 5696,7424, 5704,6440, 5712,7488, 5720,6952, 5728,7456,
+   5736,7464, 5744,7520, 5752,7976, 5760,7296, 5768,7328, 5776,7552,
+   5784,7584, 5792,7304, 5800,7336, 5808,7560, 5816,5992, 5824,7312,
+   5832,6504, 5840,7568, 5848,7016, 5856,7320, 5864,7528, 5872,7576,
+   5880,8040, 5888,7184, 5896,7192, 5904,7248, 5912,7256, 5920,6248,
+   5928,7272, 5936,6376, 5944,6056, 5952,7440, 5960,6568, 5968,7504,
+   5976,7080, 5984,6760, 5992,7592, 6000,6888, 6008,8104, 6016,7360,
+   6024,7392, 6032,7616, 6040,7648, 6048,7368, 6056,7400, 6064,7624,
+   6072,6120, 6080,7376, 6088,6632, 6096,7632, 6104,7144, 6112,7384,
+   6120,7656, 6128,7640, 6136,8168, 6168,6240, 6192,6216, 6200,7264,
+   6232,6704, 6248,7216, 6256,6680, 6264,7728, 6272,6656, 6280,6664,
+   6288,6912, 6296,6496, 6304,6688, 6312,6696, 6320,6944, 6328,7520,
+   6336,6672, 6344,6680, 6352,6928, 6360,6768, 6368,6704, 6376,7280,
+   6384,6744, 6392,7792, 6408,6432, 6424,6752, 6440,7432, 6448,6536,
+   6456,7560, 6472,6944, 6488,6832, 6496,6920, 6504,7344, 6512,7048,
+   6520,7856, 6528,6720, 6536,6728, 6544,6976, 6552,7008, 6560,6752,
+   6568,7448, 6576,7008, 6584,7576, 6592,6736, 6600,6744, 6608,6992,
+   6616,6896, 6624,6936, 6632,7408, 6640,7064, 6648,7920, 6712,7280,
+   6744,6960, 6760,7472, 6768,6936, 6776,7984, 6800,6848, 6808,6856,
+   6832,6880, 6840,6888, 6848,7040, 6856,7048, 6864,7104, 6872,7024,
+   6880,7072, 6888,7536, 6896,7136, 6904,8048, 6952,7496, 6968,7624,
+   6984,7008, 7000,7088, 7016,7600, 7024,7112, 7032,8112, 7056,7104,
+   7064,7112, 7080,7512, 7088,7136, 7096,7640, 7128,7152, 7144,7664,
+   7160,8176, 7176,7200, 7192,7216, 7224,7272, 7240,7264, 7256,7280,
+   7288,7736, 7296,7680, 7304,7712, 7312,7936, 7320,7968, 7328,7688,
+   7336,7720, 7344,7944, 7352,7976, 7360,7696, 7368,7728, 7376,7952,
+   7384,7984, 7392,7704, 7400,7736, 7408,7960, 7416,7800, 7432,7456,
+   7448,7472, 7480,7592, 7496,7520, 7512,7536, 7528,7976, 7544,7864,
+   7552,7744, 7560,7776, 7568,8000, 7576,8032, 7584,7752, 7592,7784,
+   7600,8008, 7608,8040, 7616,7760, 7624,7792, 7632,8016, 7640,8048,
+   7648,7768, 7656,7800, 7664,8024, 7672,7928, 7688,7712, 7704,7728,
+   7752,7776, 7768,7792, 7800,7992, 7816,7840, 7824,8064, 7832,8096,
+   7856,8072, 7864,8104, 7872,8064, 7880,8072, 7888,8080, 7896,8112,
+   7904,8096, 7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984,
+   8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160,
+   8112,8136, 8120,8168, 8136,8160, 8152,8176
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_2048)
+
+const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH] =
+{
+   /* 8x2, size 3808 */
+   8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024,
+   72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824,
+   128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752,
+   184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680,
+   240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576,
+   296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376,
+   352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304,
+   408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232,
+   464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048,
+   520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928,
+   576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856,
+   632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784,
+   688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712,
+   744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480,
+   800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408,
+   856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336,
+   912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264,
+   968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064,
+   1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960,
+   1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792,
+   1128,5888, 1136,9984, 1144,14080, 1152,2304, 1160,6400, 1168,10496,
+   1176,14592, 1184,2816, 1192,6912, 1200,11008, 1208,15104, 1216,3328,
+   1224,7424, 1232,11520, 1240,15616, 1248,3840, 1256,7936, 1264,12032,
+   1272,16128, 1288,4416, 1296,8512, 1304,12608, 1312,3328, 1320,4928,
+   1328,9024, 1336,13120, 1352,5440, 1360,9536, 1368,13632, 1376,1856,
+   1384,5952, 1392,10048, 1400,14144, 1408,2368, 1416,6464, 1424,10560,
+   1432,14656, 1440,2880, 1448,6976, 1456,11072, 1464,15168, 1472,3392,
+   1480,7488, 1488,11584, 1496,15680, 1504,3904, 1512,8000, 1520,12096,
+   1528,16192, 1536,2112, 1544,4480, 1552,8576, 1560,12672, 1568,2240,
+   1576,4992, 1584,9088, 1592,13184, 1600,2368, 1608,5504, 1616,9600,
+   1624,13696, 1632,1920, 1640,6016, 1648,10112, 1656,14208, 1664,2432,
+   1672,6528, 1680,10624, 1688,14720, 1696,2944, 1704,7040, 1712,11136,
+   1720,15232, 1728,3456, 1736,7552, 1744,11648, 1752,15744, 1760,3968,
+   1768,8064, 1776,12160, 1784,16256, 1792,3136, 1800,4544, 1808,8640,
+   1816,12736, 1824,3264, 1832,5056, 1840,9152, 1848,13248, 1856,3392,
+   1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176,
+   1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008,
+   1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712,
+   2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096,
+   2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712,
+   2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480,
+   2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248,
+   2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080,
+   2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784,
+   2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248,
+   2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288,
+   2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128,
+   2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824,
+   2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656,
+   2536,7752, 2544,11848, 2552,15944, 2560,6144, 2568,4232, 2576,8328,
+   2584,12424, 2592,6272, 2600,4744, 2608,8840, 2616,12936, 2624,6400,
+   2632,5256, 2640,9352, 2648,13448, 2656,6528, 2664,5768, 2672,9864,
+   2680,13960, 2688,6152, 2696,6280, 2704,10376, 2712,14472, 2720,6280,
+   2728,6792, 2736,10888, 2744,14984, 2752,3208, 2760,7304, 2768,11400,
+   2776,15496, 2784,3720, 2792,7816, 2800,11912, 2808,16008, 2816,7168,
+   2824,4296, 2832,8392, 2840,12488, 2848,7296, 2856,4808, 2864,8904,
+   2872,13000, 2880,7424, 2888,5320, 2896,9416, 2904,13512, 2912,7552,
+   2920,5832, 2928,9928, 2936,14024, 2944,7176, 2952,6344, 2960,10440,
+   2968,14536, 2976,7304, 2984,6856, 2992,10952, 3000,15048, 3008,3272,
+   3016,7368, 3024,11464, 3032,15560, 3040,3784, 3048,7880, 3056,11976,
+   3064,16072, 3072,4160, 3080,4360, 3088,8456, 3096,12552, 3104,4288,
+   3112,4872, 3120,8968, 3128,13064, 3136,4416, 3144,5384, 3152,9480,
+   3160,13576, 3168,4544, 3176,5896, 3184,9992, 3192,14088, 3200,4168,
+   3208,6408, 3216,10504, 3224,14600, 3232,4296, 3240,6920, 3248,11016,
+   3256,15112, 3264,3336, 3272,7432, 3280,11528, 3288,15624, 3296,3848,
+   3304,7944, 3312,12040, 3320,16136, 3328,5184, 3336,4424, 3344,8520,
+   3352,12616, 3360,5312, 3368,4936, 3376,9032, 3384,13128, 3392,5440,
+   3400,5448, 3408,9544, 3416,13640, 3424,5568, 3432,5960, 3440,10056,
+   3448,14152, 3456,5192, 3464,6472, 3472,10568, 3480,14664, 3488,5320,
+   3496,6984, 3504,11080, 3512,15176, 3520,5448, 3528,7496, 3536,11592,
+   3544,15688, 3552,3912, 3560,8008, 3568,12104, 3576,16200, 3584,6208,
+   3592,4488, 3600,8584, 3608,12680, 3616,6336, 3624,5000, 3632,9096,
+   3640,13192, 3648,6464, 3656,5512, 3664,9608, 3672,13704, 3680,6592,
+   3688,6024, 3696,10120, 3704,14216, 3712,6216, 3720,6536, 3728,10632,
+   3736,14728, 3744,6344, 3752,7048, 3760,11144, 3768,15240, 3776,6472,
+   3784,7560, 3792,11656, 3800,15752, 3808,3976, 3816,8072, 3824,12168,
+   3832,16264, 3840,7232, 3848,4552, 3856,8648, 3864,12744, 3872,7360,
+   3880,5064, 3888,9160, 3896,13256, 3904,7488, 3912,5576, 3920,9672,
+   3928,13768, 3936,7616, 3944,6088, 3952,10184, 3960,14280, 3968,7240,
+   3976,6600, 3984,10696, 3992,14792, 4000,7368, 4008,7112, 4016,11208,
+   4024,15304, 4032,7496, 4040,7624, 4048,11720, 4056,15816, 4064,7624,
+   4072,8136, 4080,12232, 4088,16328, 4096,8192, 4104,4112, 4112,8208,
+   4120,12304, 4128,8320, 4136,4624, 4144,8720, 4152,12816, 4160,8448,
+   4168,5136, 4176,9232, 4184,13328, 4192,8576, 4200,5648, 4208,9744,
+   4216,13840, 4224,8200, 4232,6160, 4240,10256, 4248,14352, 4256,8328,
+   4264,6672, 4272,10768, 4280,14864, 4288,8456, 4296,7184, 4304,11280,
+   4312,15376, 4320,8584, 4328,7696, 4336,11792, 4344,15888, 4352,9216,
+   4360,9232, 4368,8272, 4376,12368, 4384,9344, 4392,4688, 4400,8784,
+   4408,12880, 4416,9472, 4424,5200, 4432,9296, 4440,13392, 4448,9600,
+   4456,5712, 4464,9808, 4472,13904, 4480,9224, 4488,6224, 4496,10320,
+   4504,14416, 4512,9352, 4520,6736, 4528,10832, 4536,14928, 4544,9480,
+   4552,7248, 4560,11344, 4568,15440, 4576,9608, 4584,7760, 4592,11856,
+   4600,15952, 4608,10240, 4616,10256, 4624,8336, 4632,12432, 4640,10368,
+   4648,4752, 4656,8848, 4664,12944, 4672,10496, 4680,5264, 4688,9360,
+   4696,13456, 4704,10624, 4712,5776, 4720,9872, 4728,13968, 4736,10248,
+   4744,6288, 4752,10384, 4760,14480, 4768,10376, 4776,6800, 4784,10896,
+   4792,14992, 4800,10504, 4808,7312, 4816,11408, 4824,15504, 4832,10632,
+   4840,7824, 4848,11920, 4856,16016, 4864,11264, 4872,11280, 4880,8400,
+   4888,12496, 4896,11392, 4904,11408, 4912,8912, 4920,13008, 4928,11520,
+   4936,5328, 4944,9424, 4952,13520, 4960,11648, 4968,5840, 4976,9936,
+   4984,14032, 4992,11272, 5000,6352, 5008,10448, 5016,14544, 5024,11400,
+   5032,6864, 5040,10960, 5048,15056, 5056,11528, 5064,7376, 5072,11472,
+   5080,15568, 5088,11656, 5096,7888, 5104,11984, 5112,16080, 5120,8256,
+   5128,8272, 5136,8464, 5144,12560, 5152,8384, 5160,8400, 5168,8976,
+   5176,13072, 5184,8512, 5192,5392, 5200,9488, 5208,13584, 5216,8640,
+   5224,5904, 5232,10000, 5240,14096, 5248,8264, 5256,6416, 5264,10512,
+   5272,14608, 5280,8392, 5288,6928, 5296,11024, 5304,15120, 5312,8520,
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+   15672,15768, 15736,15832, 15784,15792, 15800,16304, 15848,15856,
+   15880,16000, 15864,16248, 15888,16000, 15896,16008, 15904,16000,
+   15912,16016, 15920,16008, 15928,16024, 15936,16128, 15944,16160,
+   15952,16256, 15960,16288, 15968,16136, 15976,16168, 15984,16264,
+   15992,16296, 16008,16032, 16024,16040, 16064,16144, 16040,16048,
+   16072,16176, 16080,16272, 16088,16304, 16096,16152, 16104,16184,
+   16112,16280, 16136,16256, 16120,16312, 16144,16256, 16152,16264,
+   16160,16256, 16168,16272, 16176,16264, 16184,16280, 16200,16208,
+   16208,16224, 16216,16240, 16224,16320, 16232,16336, 16240,16352,
+   16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368,
+   16328,16352, 16360,16368
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FLT_4096)
+
+const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH] =
+{
+   /* radix 8, size 4032 */
+   8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512,
+   72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184,
+   128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600,
+   184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016,
+   240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432,
+   296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848,
+   352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264,
+   408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680,
+   464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160,
+   528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672,
+   592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088,
+   648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760,
+   704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176,
+   760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592,
+   816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008,
+   872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424,
+   928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840,
+   984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224,
+   1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800,
+   1096,4736, 1104,8832, 1112,12928, 1120,17024, 1128,21120, 1136,25216,
+   1144,29312, 1160,5248, 1168,9344, 1176,13440, 1184,17536, 1192,21632,
+   1200,25728, 1208,29824, 1216,1664, 1224,5760, 1232,9856, 1240,13952,
+   1248,18048, 1256,22144, 1264,26240, 1272,30336, 1280,2176, 1288,6272,
+   1296,10368, 1304,14464, 1312,18560, 1320,22656, 1328,26752, 1336,30848,
+   1344,2688, 1352,6784, 1360,10880, 1368,14976, 1376,19072, 1384,23168,
+   1392,27264, 1400,31360, 1408,3200, 1416,7296, 1424,11392, 1432,15488,
+   1440,19584, 1448,23680, 1456,27776, 1464,31872, 1472,3712, 1480,7808,
+   1488,11904, 1496,16000, 1504,20096, 1512,24192, 1520,28288, 1528,32384,
+   1544,4288, 1552,8384, 1560,12480, 1568,16576, 1576,20672, 1584,24768,
+   1592,28864, 1608,4800, 1616,8896, 1624,12992, 1632,17088, 1640,21184,
+   1648,25280, 1656,29376, 1672,5312, 1680,9408, 1688,13504, 1696,17600,
+   1704,21696, 1712,25792, 1720,29888, 1736,5824, 1744,9920, 1752,14016,
+   1760,18112, 1768,22208, 1776,26304, 1784,30400, 1792,2240, 1800,6336,
+   1808,10432, 1816,14528, 1824,18624, 1832,22720, 1840,26816, 1848,30912,
+   1856,2752, 1864,6848, 1872,10944, 1880,15040, 1888,19136, 1896,23232,
+   1904,27328, 1912,31424, 1920,3264, 1928,7360, 1936,11456, 1944,15552,
+   1952,19648, 1960,23744, 1968,27840, 1976,31936, 1984,3776, 1992,7872,
+   2000,11968, 2008,16064, 2016,20160, 2024,24256, 2032,28352, 2040,32448,
+   2056,4352, 2064,8448, 2072,12544, 2080,16640, 2088,20736, 2096,24832,
+   2104,28928, 2120,4864, 2128,8960, 2136,13056, 2144,17152, 2152,21248,
+   2160,25344, 2168,29440, 2184,5376, 2192,9472, 2200,13568, 2208,17664,
+   2216,21760, 2224,25856, 2232,29952, 2248,5888, 2256,9984, 2264,14080,
+   2272,18176, 2280,22272, 2288,26368, 2296,30464, 2312,6400, 2320,10496,
+   2328,14592, 2336,18688, 2344,22784, 2352,26880, 2360,30976, 2368,2816,
+   2376,6912, 2384,11008, 2392,15104, 2400,19200, 2408,23296, 2416,27392,
+   2424,31488, 2432,3328, 2440,7424, 2448,11520, 2456,15616, 2464,19712,
+   2472,23808, 2480,27904, 2488,32000, 2496,3840, 2504,7936, 2512,12032,
+   2520,16128, 2528,20224, 2536,24320, 2544,28416, 2552,32512, 2568,4416,
+   2576,8512, 2584,12608, 2592,16704, 2600,20800, 2608,24896, 2616,28992,
+   2632,4928, 2640,9024, 2648,13120, 2656,17216, 2664,21312, 2672,25408,
+   2680,29504, 2696,5440, 2704,9536, 2712,13632, 2720,17728, 2728,21824,
+   2736,25920, 2744,30016, 2760,5952, 2768,10048, 2776,14144, 2784,18240,
+   2792,22336, 2800,26432, 2808,30528, 2824,6464, 2832,10560, 2840,14656,
+   2848,18752, 2856,22848, 2864,26944, 2872,31040, 2888,6976, 2896,11072,
+   2904,15168, 2912,19264, 2920,23360, 2928,27456, 2936,31552, 2944,3392,
+   2952,7488, 2960,11584, 2968,15680, 2976,19776, 2984,23872, 2992,27968,
+   3000,32064, 3008,3904, 3016,8000, 3024,12096, 3032,16192, 3040,20288,
+   3048,24384, 3056,28480, 3064,32576, 3080,4480, 3088,8576, 3096,12672,
+   3104,16768, 3112,20864, 3120,24960, 3128,29056, 3144,4992, 3152,9088,
+   3160,13184, 3168,17280, 3176,21376, 3184,25472, 3192,29568, 3208,5504,
+   3216,9600, 3224,13696, 3232,17792, 3240,21888, 3248,25984, 3256,30080,
+   3272,6016, 3280,10112, 3288,14208, 3296,18304, 3304,22400, 3312,26496,
+   3320,30592, 3336,6528, 3344,10624, 3352,14720, 3360,18816, 3368,22912,
+   3376,27008, 3384,31104, 3400,7040, 3408,11136, 3416,15232, 3424,19328,
+   3432,23424, 3440,27520, 3448,31616, 3464,7552, 3472,11648, 3480,15744,
+   3488,19840, 3496,23936, 3504,28032, 3512,32128, 3520,3968, 3528,8064,
+   3536,12160, 3544,16256, 3552,20352, 3560,24448, 3568,28544, 3576,32640,
+   3592,4544, 3600,8640, 3608,12736, 3616,16832, 3624,20928, 3632,25024,
+   3640,29120, 3656,5056, 3664,9152, 3672,13248, 3680,17344, 3688,21440,
+   3696,25536, 3704,29632, 3720,5568, 3728,9664, 3736,13760, 3744,17856,
+   3752,21952, 3760,26048, 3768,30144, 3784,6080, 3792,10176, 3800,14272,
+   3808,18368, 3816,22464, 3824,26560, 3832,30656, 3848,6592, 3856,10688,
+   3864,14784, 3872,18880, 3880,22976, 3888,27072, 3896,31168, 3912,7104,
+   3920,11200, 3928,15296, 3936,19392, 3944,23488, 3952,27584, 3960,31680,
+   3976,7616, 3984,11712, 3992,15808, 4000,19904, 4008,24000, 4016,28096,
+   4024,32192, 4040,8128, 4048,12224, 4056,16320, 4064,20416, 4072,24512,
+   4080,28608, 4088,32704, 4112,8200, 4120,12296, 4128,16392, 4136,20488,
+   4144,24584, 4152,28680, 4168,4616, 4176,8712, 4184,12808, 4192,16904,
+   4200,21000, 4208,25096, 4216,29192, 4232,5128, 4240,9224, 4248,13320,
+   4256,17416, 4264,21512, 4272,25608, 4280,29704, 4296,5640, 4304,9736,
+   4312,13832, 4320,17928, 4328,22024, 4336,26120, 4344,30216, 4360,6152,
+   4368,10248, 4376,14344, 4384,18440, 4392,22536, 4400,26632, 4408,30728,
+   4424,6664, 4432,10760, 4440,14856, 4448,18952, 4456,23048, 4464,27144,
+   4472,31240, 4488,7176, 4496,11272, 4504,15368, 4512,19464, 4520,23560,
+   4528,27656, 4536,31752, 4552,7688, 4560,11784, 4568,15880, 4576,19976,
+   4584,24072, 4592,28168, 4600,32264, 4624,8264, 4632,12360, 4640,16456,
+   4648,20552, 4656,24648, 4664,28744, 4688,8776, 4696,12872, 4704,16968,
+   4712,21064, 4720,25160, 4728,29256, 4744,5192, 4752,9288, 4760,13384,
+   4768,17480, 4776,21576, 4784,25672, 4792,29768, 4808,5704, 4816,9800,
+   4824,13896, 4832,17992, 4840,22088, 4848,26184, 4856,30280, 4872,6216,
+   4880,10312, 4888,14408, 4896,18504, 4904,22600, 4912,26696, 4920,30792,
+   4936,6728, 4944,10824, 4952,14920, 4960,19016, 4968,23112, 4976,27208,
+   4984,31304, 5000,7240, 5008,11336, 5016,15432, 5024,19528, 5032,23624,
+   5040,27720, 5048,31816, 5064,7752, 5072,11848, 5080,15944, 5088,20040,
+   5096,24136, 5104,28232, 5112,32328, 5136,8328, 5144,12424, 5152,16520,
+   5160,20616, 5168,24712, 5176,28808, 5200,8840, 5208,12936, 5216,17032,
+   5224,21128, 5232,25224, 5240,29320, 5264,9352, 5272,13448, 5280,17544,
+   5288,21640, 5296,25736, 5304,29832, 5320,5768, 5328,9864, 5336,13960,
+   5344,18056, 5352,22152, 5360,26248, 5368,30344, 5384,6280, 5392,10376,
+   5400,14472, 5408,18568, 5416,22664, 5424,26760, 5432,30856, 5448,6792,
+   5456,10888, 5464,14984, 5472,19080, 5480,23176, 5488,27272, 5496,31368,
+   5512,7304, 5520,11400, 5528,15496, 5536,19592, 5544,23688, 5552,27784,
+   5560,31880, 5576,7816, 5584,11912, 5592,16008, 5600,20104, 5608,24200,
+   5616,28296, 5624,32392, 5648,8392, 5656,12488, 5664,16584, 5672,20680,
+   5680,24776, 5688,28872, 5712,8904, 5720,13000, 5728,17096, 5736,21192,
+   5744,25288, 5752,29384, 5776,9416, 5784,13512, 5792,17608, 5800,21704,
+   5808,25800, 5816,29896, 5840,9928, 5848,14024, 5856,18120, 5864,22216,
+   5872,26312, 5880,30408, 5896,6344, 5904,10440, 5912,14536, 5920,18632,
+   5928,22728, 5936,26824, 5944,30920, 5960,6856, 5968,10952, 5976,15048,
+   5984,19144, 5992,23240, 6000,27336, 6008,31432, 6024,7368, 6032,11464,
+   6040,15560, 6048,19656, 6056,23752, 6064,27848, 6072,31944, 6088,7880,
+   6096,11976, 6104,16072, 6112,20168, 6120,24264, 6128,28360, 6136,32456,
+   6160,8456, 6168,12552, 6176,16648, 6184,20744, 6192,24840, 6200,28936,
+   6224,8968, 6232,13064, 6240,17160, 6248,21256, 6256,25352, 6264,29448,
+   6288,9480, 6296,13576, 6304,17672, 6312,21768, 6320,25864, 6328,29960,
+   6352,9992, 6360,14088, 6368,18184, 6376,22280, 6384,26376, 6392,30472,
+   6416,10504, 6424,14600, 6432,18696, 6440,22792, 6448,26888, 6456,30984,
+   6472,6920, 6480,11016, 6488,15112, 6496,19208, 6504,23304, 6512,27400,
+   6520,31496, 6536,7432, 6544,11528, 6552,15624, 6560,19720, 6568,23816,
+   6576,27912, 6584,32008, 6600,7944, 6608,12040, 6616,16136, 6624,20232,
+   6632,24328, 6640,28424, 6648,32520, 6672,8520, 6680,12616, 6688,16712,
+   6696,20808, 6704,24904, 6712,29000, 6736,9032, 6744,13128, 6752,17224,
+   6760,21320, 6768,25416, 6776,29512, 6800,9544, 6808,13640, 6816,17736,
+   6824,21832, 6832,25928, 6840,30024, 6864,10056, 6872,14152, 6880,18248,
+   6888,22344, 6896,26440, 6904,30536, 6928,10568, 6936,14664, 6944,18760,
+   6952,22856, 6960,26952, 6968,31048, 6992,11080, 7000,15176, 7008,19272,
+   7016,23368, 7024,27464, 7032,31560, 7048,7496, 7056,11592, 7064,15688,
+   7072,19784, 7080,23880, 7088,27976, 7096,32072, 7112,8008, 7120,12104,
+   7128,16200, 7136,20296, 7144,24392, 7152,28488, 7160,32584, 7184,8584,
+   7192,12680, 7200,16776, 7208,20872, 7216,24968, 7224,29064, 7248,9096,
+   7256,13192, 7264,17288, 7272,21384, 7280,25480, 7288,29576, 7312,9608,
+   7320,13704, 7328,17800, 7336,21896, 7344,25992, 7352,30088, 7376,10120,
+   7384,14216, 7392,18312, 7400,22408, 7408,26504, 7416,30600, 7440,10632,
+   7448,14728, 7456,18824, 7464,22920, 7472,27016, 7480,31112, 7504,11144,
+   7512,15240, 7520,19336, 7528,23432, 7536,27528, 7544,31624, 7568,11656,
+   7576,15752, 7584,19848, 7592,23944, 7600,28040, 7608,32136, 7624,8072,
+   7632,12168, 7640,16264, 7648,20360, 7656,24456, 7664,28552, 7672,32648,
+   7696,8648, 7704,12744, 7712,16840, 7720,20936, 7728,25032, 7736,29128,
+   7760,9160, 7768,13256, 7776,17352, 7784,21448, 7792,25544, 7800,29640,
+   7824,9672, 7832,13768, 7840,17864, 7848,21960, 7856,26056, 7864,30152,
+   7888,10184, 7896,14280, 7904,18376, 7912,22472, 7920,26568, 7928,30664,
+   7952,10696, 7960,14792, 7968,18888, 7976,22984, 7984,27080, 7992,31176,
+   8016,11208, 8024,15304, 8032,19400, 8040,23496, 8048,27592, 8056,31688,
+   8080,11720, 8088,15816, 8096,19912, 8104,24008, 8112,28104, 8120,32200,
+   8144,12232, 8152,16328, 8160,20424, 8168,24520, 8176,28616, 8184,32712,
+   8216,12304, 8224,16400, 8232,20496, 8240,24592, 8248,28688, 8272,8720,
+   8280,12816, 8288,16912, 8296,21008, 8304,25104, 8312,29200, 8336,9232,
+   8344,13328, 8352,17424, 8360,21520, 8368,25616, 8376,29712, 8400,9744,
+   8408,13840, 8416,17936, 8424,22032, 8432,26128, 8440,30224, 8464,10256,
+   8472,14352, 8480,18448, 8488,22544, 8496,26640, 8504,30736, 8528,10768,
+   8536,14864, 8544,18960, 8552,23056, 8560,27152, 8568,31248, 8592,11280,
+   8600,15376, 8608,19472, 8616,23568, 8624,27664, 8632,31760, 8656,11792,
+   8664,15888, 8672,19984, 8680,24080, 8688,28176, 8696,32272, 8728,12368,
+   8736,16464, 8744,20560, 8752,24656, 8760,28752, 8792,12880, 8800,16976,
+   8808,21072, 8816,25168, 8824,29264, 8848,9296, 8856,13392, 8864,17488,
+   8872,21584, 8880,25680, 8888,29776, 8912,9808, 8920,13904, 8928,18000,
+   8936,22096, 8944,26192, 8952,30288, 8976,10320, 8984,14416, 8992,18512,
+   9000,22608, 9008,26704, 9016,30800, 9040,10832, 9048,14928, 9056,19024,
+   9064,23120, 9072,27216, 9080,31312, 9104,11344, 9112,15440, 9120,19536,
+   9128,23632, 9136,27728, 9144,31824, 9168,11856, 9176,15952, 9184,20048,
+   9192,24144, 9200,28240, 9208,32336, 9240,12432, 9248,16528, 9256,20624,
+   9264,24720, 9272,28816, 9304,12944, 9312,17040, 9320,21136, 9328,25232,
+   9336,29328, 9368,13456, 9376,17552, 9384,21648, 9392,25744, 9400,29840,
+   9424,9872, 9432,13968, 9440,18064, 9448,22160, 9456,26256, 9464,30352,
+   9488,10384, 9496,14480, 9504,18576, 9512,22672, 9520,26768, 9528,30864,
+   9552,10896, 9560,14992, 9568,19088, 9576,23184, 9584,27280, 9592,31376,
+   9616,11408, 9624,15504, 9632,19600, 9640,23696, 9648,27792, 9656,31888,
+   9680,11920, 9688,16016, 9696,20112, 9704,24208, 9712,28304, 9720,32400,
+   9752,12496, 9760,16592, 9768,20688, 9776,24784, 9784,28880, 9816,13008,
+   9824,17104, 9832,21200, 9840,25296, 9848,29392, 9880,13520, 9888,17616,
+   9896,21712, 9904,25808, 9912,29904, 9944,14032, 9952,18128, 9960,22224,
+   9968,26320, 9976,30416, 10000,10448, 10008,14544, 10016,18640, 10024,22736,
+   10032,26832, 10040,30928, 10064,10960, 10072,15056, 10080,19152,
+   10088,23248, 10096,27344, 10104,31440, 10128,11472, 10136,15568,
+   10144,19664, 10152,23760, 10160,27856, 10168,31952, 10192,11984,
+   10200,16080, 10208,20176, 10216,24272, 10224,28368, 10232,32464,
+   10264,12560, 10272,16656, 10280,20752, 10288,24848, 10296,28944,
+   10328,13072, 10336,17168, 10344,21264, 10352,25360, 10360,29456,
+   10392,13584, 10400,17680, 10408,21776, 10416,25872, 10424,29968,
+   10456,14096, 10464,18192, 10472,22288, 10480,26384, 10488,30480,
+   10520,14608, 10528,18704, 10536,22800, 10544,26896, 10552,30992,
+   10576,11024, 10584,15120, 10592,19216, 10600,23312, 10608,27408,
+   10616,31504, 10640,11536, 10648,15632, 10656,19728, 10664,23824,
+   10672,27920, 10680,32016, 10704,12048, 10712,16144, 10720,20240,
+   10728,24336, 10736,28432, 10744,32528, 10776,12624, 10784,16720,
+   10792,20816, 10800,24912, 10808,29008, 10840,13136, 10848,17232,
+   10856,21328, 10864,25424, 10872,29520, 10904,13648, 10912,17744,
+   10920,21840, 10928,25936, 10936,30032, 10968,14160, 10976,18256,
+   10984,22352, 10992,26448, 11000,30544, 11032,14672, 11040,18768,
+   11048,22864, 11056,26960, 11064,31056, 11096,15184, 11104,19280,
+   11112,23376, 11120,27472, 11128,31568, 11152,11600, 11160,15696,
+   11168,19792, 11176,23888, 11184,27984, 11192,32080, 11216,12112,
+   11224,16208, 11232,20304, 11240,24400, 11248,28496, 11256,32592,
+   11288,12688, 11296,16784, 11304,20880, 11312,24976, 11320,29072,
+   11352,13200, 11360,17296, 11368,21392, 11376,25488, 11384,29584,
+   11416,13712, 11424,17808, 11432,21904, 11440,26000, 11448,30096,
+   11480,14224, 11488,18320, 11496,22416, 11504,26512, 11512,30608,
+   11544,14736, 11552,18832, 11560,22928, 11568,27024, 11576,31120,
+   11608,15248, 11616,19344, 11624,23440, 11632,27536, 11640,31632,
+   11672,15760, 11680,19856, 11688,23952, 11696,28048, 11704,32144,
+   11728,12176, 11736,16272, 11744,20368, 11752,24464, 11760,28560,
+   11768,32656, 11800,12752, 11808,16848, 11816,20944, 11824,25040,
+   11832,29136, 11864,13264, 11872,17360, 11880,21456, 11888,25552,
+   11896,29648, 11928,13776, 11936,17872, 11944,21968, 11952,26064,
+   11960,30160, 11992,14288, 12000,18384, 12008,22480, 12016,26576,
+   12024,30672, 12056,14800, 12064,18896, 12072,22992, 12080,27088,
+   12088,31184, 12120,15312, 12128,19408, 12136,23504, 12144,27600,
+   12152,31696, 12184,15824, 12192,19920, 12200,24016, 12208,28112,
+   12216,32208, 12248,16336, 12256,20432, 12264,24528, 12272,28624,
+   12280,32720, 12320,16408, 12328,20504, 12336,24600, 12344,28696,
+   12376,12824, 12384,16920, 12392,21016, 12400,25112, 12408,29208,
+   12440,13336, 12448,17432, 12456,21528, 12464,25624, 12472,29720,
+   12504,13848, 12512,17944, 12520,22040, 12528,26136, 12536,30232,
+   12568,14360, 12576,18456, 12584,22552, 12592,26648, 12600,30744,
+   12632,14872, 12640,18968, 12648,23064, 12656,27160, 12664,31256,
+   12696,15384, 12704,19480, 12712,23576, 12720,27672, 12728,31768,
+   12760,15896, 12768,19992, 12776,24088, 12784,28184, 12792,32280,
+   12832,16472, 12840,20568, 12848,24664, 12856,28760, 12896,16984,
+   12904,21080, 12912,25176, 12920,29272, 12952,13400, 12960,17496,
+   12968,21592, 12976,25688, 12984,29784, 13016,13912, 13024,18008,
+   13032,22104, 13040,26200, 13048,30296, 13080,14424, 13088,18520,
+   13096,22616, 13104,26712, 13112,30808, 13144,14936, 13152,19032,
+   13160,23128, 13168,27224, 13176,31320, 13208,15448, 13216,19544,
+   13224,23640, 13232,27736, 13240,31832, 13272,15960, 13280,20056,
+   13288,24152, 13296,28248, 13304,32344, 13344,16536, 13352,20632,
+   13360,24728, 13368,28824, 13408,17048, 13416,21144, 13424,25240,
+   13432,29336, 13472,17560, 13480,21656, 13488,25752, 13496,29848,
+   13528,13976, 13536,18072, 13544,22168, 13552,26264, 13560,30360,
+   13592,14488, 13600,18584, 13608,22680, 13616,26776, 13624,30872,
+   13656,15000, 13664,19096, 13672,23192, 13680,27288, 13688,31384,
+   13720,15512, 13728,19608, 13736,23704, 13744,27800, 13752,31896,
+   13784,16024, 13792,20120, 13800,24216, 13808,28312, 13816,32408,
+   13856,16600, 13864,20696, 13872,24792, 13880,28888, 13920,17112,
+   13928,21208, 13936,25304, 13944,29400, 13984,17624, 13992,21720,
+   14000,25816, 14008,29912, 14048,18136, 14056,22232, 14064,26328,
+   14072,30424, 14104,14552, 14112,18648, 14120,22744, 14128,26840,
+   14136,30936, 14168,15064, 14176,19160, 14184,23256, 14192,27352,
+   14200,31448, 14232,15576, 14240,19672, 14248,23768, 14256,27864,
+   14264,31960, 14296,16088, 14304,20184, 14312,24280, 14320,28376,
+   14328,32472, 14368,16664, 14376,20760, 14384,24856, 14392,28952,
+   14432,17176, 14440,21272, 14448,25368, 14456,29464, 14496,17688,
+   14504,21784, 14512,25880, 14520,29976, 14560,18200, 14568,22296,
+   14576,26392, 14584,30488, 14624,18712, 14632,22808, 14640,26904,
+   14648,31000, 14680,15128, 14688,19224, 14696,23320, 14704,27416,
+   14712,31512, 14744,15640, 14752,19736, 14760,23832, 14768,27928,
+   14776,32024, 14808,16152, 14816,20248, 14824,24344, 14832,28440,
+   14840,32536, 14880,16728, 14888,20824, 14896,24920, 14904,29016,
+   14944,17240, 14952,21336, 14960,25432, 14968,29528, 15008,17752,
+   15016,21848, 15024,25944, 15032,30040, 15072,18264, 15080,22360,
+   15088,26456, 15096,30552, 15136,18776, 15144,22872, 15152,26968,
+   15160,31064, 15200,19288, 15208,23384, 15216,27480, 15224,31576,
+   15256,15704, 15264,19800, 15272,23896, 15280,27992, 15288,32088,
+   15320,16216, 15328,20312, 15336,24408, 15344,28504, 15352,32600,
+   15392,16792, 15400,20888, 15408,24984, 15416,29080, 15456,17304,
+   15464,21400, 15472,25496, 15480,29592, 15520,17816, 15528,21912,
+   15536,26008, 15544,30104, 15584,18328, 15592,22424, 15600,26520,
+   15608,30616, 15648,18840, 15656,22936, 15664,27032, 15672,31128,
+   15712,19352, 15720,23448, 15728,27544, 15736,31640, 15776,19864,
+   15784,23960, 15792,28056, 15800,32152, 15832,16280, 15840,20376,
+   15848,24472, 15856,28568, 15864,32664, 15904,16856, 15912,20952,
+   15920,25048, 15928,29144, 15968,17368, 15976,21464, 15984,25560,
+   15992,29656, 16032,17880, 16040,21976, 16048,26072, 16056,30168,
+   16096,18392, 16104,22488, 16112,26584, 16120,30680, 16160,18904,
+   16168,23000, 16176,27096, 16184,31192, 16224,19416, 16232,23512,
+   16240,27608, 16248,31704, 16288,19928, 16296,24024, 16304,28120,
+   16312,32216, 16352,20440, 16360,24536, 16368,28632, 16376,32728,
+   16424,20512, 16432,24608, 16440,28704, 16480,16928, 16488,21024,
+   16496,25120, 16504,29216, 16544,17440, 16552,21536, 16560,25632,
+   16568,29728, 16608,17952, 16616,22048, 16624,26144, 16632,30240,
+   16672,18464, 16680,22560, 16688,26656, 16696,30752, 16736,18976,
+   16744,23072, 16752,27168, 16760,31264, 16800,19488, 16808,23584,
+   16816,27680, 16824,31776, 16864,20000, 16872,24096, 16880,28192,
+   16888,32288, 16936,20576, 16944,24672, 16952,28768, 17000,21088,
+   17008,25184, 17016,29280, 17056,17504, 17064,21600, 17072,25696,
+   17080,29792, 17120,18016, 17128,22112, 17136,26208, 17144,30304,
+   17184,18528, 17192,22624, 17200,26720, 17208,30816, 17248,19040,
+   17256,23136, 17264,27232, 17272,31328, 17312,19552, 17320,23648,
+   17328,27744, 17336,31840, 17376,20064, 17384,24160, 17392,28256,
+   17400,32352, 17448,20640, 17456,24736, 17464,28832, 17512,21152,
+   17520,25248, 17528,29344, 17576,21664, 17584,25760, 17592,29856,
+   17632,18080, 17640,22176, 17648,26272, 17656,30368, 17696,18592,
+   17704,22688, 17712,26784, 17720,30880, 17760,19104, 17768,23200,
+   17776,27296, 17784,31392, 17824,19616, 17832,23712, 17840,27808,
+   17848,31904, 17888,20128, 17896,24224, 17904,28320, 17912,32416,
+   17960,20704, 17968,24800, 17976,28896, 18024,21216, 18032,25312,
+   18040,29408, 18088,21728, 18096,25824, 18104,29920, 18152,22240,
+   18160,26336, 18168,30432, 18208,18656, 18216,22752, 18224,26848,
+   18232,30944, 18272,19168, 18280,23264, 18288,27360, 18296,31456,
+   18336,19680, 18344,23776, 18352,27872, 18360,31968, 18400,20192,
+   18408,24288, 18416,28384, 18424,32480, 18472,20768, 18480,24864,
+   18488,28960, 18536,21280, 18544,25376, 18552,29472, 18600,21792,
+   18608,25888, 18616,29984, 18664,22304, 18672,26400, 18680,30496,
+   18728,22816, 18736,26912, 18744,31008, 18784,19232, 18792,23328,
+   18800,27424, 18808,31520, 18848,19744, 18856,23840, 18864,27936,
+   18872,32032, 18912,20256, 18920,24352, 18928,28448, 18936,32544,
+   18984,20832, 18992,24928, 19000,29024, 19048,21344, 19056,25440,
+   19064,29536, 19112,21856, 19120,25952, 19128,30048, 19176,22368,
+   19184,26464, 19192,30560, 19240,22880, 19248,26976, 19256,31072,
+   19304,23392, 19312,27488, 19320,31584, 19360,19808, 19368,23904,
+   19376,28000, 19384,32096, 19424,20320, 19432,24416, 19440,28512,
+   19448,32608, 19496,20896, 19504,24992, 19512,29088, 19560,21408,
+   19568,25504, 19576,29600, 19624,21920, 19632,26016, 19640,30112,
+   19688,22432, 19696,26528, 19704,30624, 19752,22944, 19760,27040,
+   19768,31136, 19816,23456, 19824,27552, 19832,31648, 19880,23968,
+   19888,28064, 19896,32160, 19936,20384, 19944,24480, 19952,28576,
+   19960,32672, 20008,20960, 20016,25056, 20024,29152, 20072,21472,
+   20080,25568, 20088,29664, 20136,21984, 20144,26080, 20152,30176,
+   20200,22496, 20208,26592, 20216,30688, 20264,23008, 20272,27104,
+   20280,31200, 20328,23520, 20336,27616, 20344,31712, 20392,24032,
+   20400,28128, 20408,32224, 20456,24544, 20464,28640, 20472,32736,
+   20528,24616, 20536,28712, 20584,21032, 20592,25128, 20600,29224,
+   20648,21544, 20656,25640, 20664,29736, 20712,22056, 20720,26152,
+   20728,30248, 20776,22568, 20784,26664, 20792,30760, 20840,23080,
+   20848,27176, 20856,31272, 20904,23592, 20912,27688, 20920,31784,
+   20968,24104, 20976,28200, 20984,32296, 21040,24680, 21048,28776,
+   21104,25192, 21112,29288, 21160,21608, 21168,25704, 21176,29800,
+   21224,22120, 21232,26216, 21240,30312, 21288,22632, 21296,26728,
+   21304,30824, 21352,23144, 21360,27240, 21368,31336, 21416,23656,
+   21424,27752, 21432,31848, 21480,24168, 21488,28264, 21496,32360,
+   21552,24744, 21560,28840, 21616,25256, 21624,29352, 21680,25768,
+   21688,29864, 21736,22184, 21744,26280, 21752,30376, 21800,22696,
+   21808,26792, 21816,30888, 21864,23208, 21872,27304, 21880,31400,
+   21928,23720, 21936,27816, 21944,31912, 21992,24232, 22000,28328,
+   22008,32424, 22064,24808, 22072,28904, 22128,25320, 22136,29416,
+   22192,25832, 22200,29928, 22256,26344, 22264,30440, 22312,22760,
+   22320,26856, 22328,30952, 22376,23272, 22384,27368, 22392,31464,
+   22440,23784, 22448,27880, 22456,31976, 22504,24296, 22512,28392,
+   22520,32488, 22576,24872, 22584,28968, 22640,25384, 22648,29480,
+   22704,25896, 22712,29992, 22768,26408, 22776,30504, 22832,26920,
+   22840,31016, 22888,23336, 22896,27432, 22904,31528, 22952,23848,
+   22960,27944, 22968,32040, 23016,24360, 23024,28456, 23032,32552,
+   23088,24936, 23096,29032, 23152,25448, 23160,29544, 23216,25960,
+   23224,30056, 23280,26472, 23288,30568, 23344,26984, 23352,31080,
+   23408,27496, 23416,31592, 23464,23912, 23472,28008, 23480,32104,
+   23528,24424, 23536,28520, 23544,32616, 23600,25000, 23608,29096,
+   23664,25512, 23672,29608, 23728,26024, 23736,30120, 23792,26536,
+   23800,30632, 23856,27048, 23864,31144, 23920,27560, 23928,31656,
+   23984,28072, 23992,32168, 24040,24488, 24048,28584, 24056,32680,
+   24112,25064, 24120,29160, 24176,25576, 24184,29672, 24240,26088,
+   24248,30184, 24304,26600, 24312,30696, 24368,27112, 24376,31208,
+   24432,27624, 24440,31720, 24496,28136, 24504,32232, 24560,28648,
+   24568,32744, 24632,28720, 24688,25136, 24696,29232, 24752,25648,
+   24760,29744, 24816,26160, 24824,30256, 24880,26672, 24888,30768,
+   24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208,
+   25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808,
+   25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248,
+   25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368,
+   25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384,
+   25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824,
+   26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424,
+   26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376,
+   26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496,
+   26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024,
+   26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464,
+   27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576,
+   27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528,
+   27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640,
+   27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688,
+   28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216,
+   28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752,
+   28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312,
+   29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864,
+   29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928,
+   30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504,
+   31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632,
+   32248,32696
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_16)
+
+const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH] =
+{
+   /* radix 4, size 12 */
+   8,64, 16,32, 24,96, 40,80, 56,112, 88,104
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_32)
+const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH] =
+{
+   /* 4x2, size 24 */
+   8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144,
+   88,208, 104,176, 120,240, 152,200, 184,232
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_64)
+const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH] =
+{
+   /* radix 4, size 56 */
+   8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352,
+   112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432,
+   232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_128)
+const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH] =
+{
+   /* 4x2, size 112 */
+   8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192,
+   104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608,
+   208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912,
+   328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624,
+   472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968,
+   664,808, 696,936, 728,872, 760,1000, 824,920, 888,984
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_256)
+const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH] =
+{
+   /* radix 4, size 240 */
+   8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640,
+   88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320,
+   168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960,
+   248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672,
+   344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376,
+   432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040,
+   536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912,
+   632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488,
+   752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456,
+   880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520,
+   1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928,
+   1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832,
+   1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816,
+   1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_512)
+const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH] =
+{
+   /* 4x2, size 480 */
+   8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280,
+   88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640,
+   168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944,
+   240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648,
+   328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216,
+   408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960,
+   488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616,
+   584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184,
+   664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976,
+   752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400,
+   848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784,
+   944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064,
+   1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344,
+   1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728,
+   1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152,
+   1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920,
+   1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024,
+   1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376,
+   1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480,
+   1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696,
+   1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824,
+   1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312,
+   2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464,
+   2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912,
+   2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624,
+   2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008,
+   2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072,
+   3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928,
+   3512,3800, 3576,4056, 3704,3896, 3832,4024
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_1024)
+const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] =
+{
+    /* radix 4, size 992 */
+    8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608,
+    80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352,
+    144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864,
+    208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176,
+    280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688,
+    344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528,
+    416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040,
+    480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088,
+    552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696,
+    624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392,
+    696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904,
+    760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360,
+    840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544,
+    912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008,
+    984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080,
+    1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688,
+    1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432,
+    1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944,
+    1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304,
+    1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696,
+    1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536,
+    1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048,
+    1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168,
+    1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776,
+    1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960,
+    1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320,
+    1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784,
+    1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624,
+    1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112,
+    2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184,
+    2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368,
+    2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832,
+    2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264,
+    2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728,
+    2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008,
+    2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224,
+    2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664,
+    2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944,
+    2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352,
+    2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792,
+    2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072,
+    3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168,
+    3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400,
+    3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936,
+    3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784,
+    3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552,
+    3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208,
+    3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792,
+    3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000,
+    3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848,
+    3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664,
+    4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176,
+    4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384,
+    4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256,
+    4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512,
+    4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192,
+    4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496,
+    4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368,
+    4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112,
+    5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720,
+    5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312,
+    5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080,
+    5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504,
+    5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888,
+    6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680,
+    6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808,
+    6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512,
+    6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736,
+    7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_2048)
+const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] =
+{
+    /* 4x2, size 1984 */
+    8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024,
+    72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512,
+    136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848,
+    192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680,
+    248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400,
+    312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520,
+    368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816,
+    424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080,
+    480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416,
+    544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248,
+    600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736,
+    664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856,
+    720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576,
+    784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408,
+    840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744,
+    904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232,
+    960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064,
+    1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208,
+    1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232,
+    1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720,
+    1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840,
+    1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560,
+    1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584,
+    1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072,
+    1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904,
+    1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240,
+    1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264,
+    1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752,
+    1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776,
+    1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496,
+    1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520,
+    1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008,
+    1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032,
+    2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272,
+    2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296,
+    2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784,
+    2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808,
+    2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432,
+    2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456,
+    2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944,
+    2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968,
+    2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496,
+    2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520,
+    2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888,
+    2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608,
+    2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536,
+    2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024,
+    2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048,
+    3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192,
+    3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408,
+    3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848,
+    3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872,
+    3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496,
+    3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712,
+    3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080,
+    3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416,
+    3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344,
+    3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024,
+    3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000,
+    3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624,
+    3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840,
+    3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208,
+    4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304,
+    4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280,
+    4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672,
+    4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888,
+    4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392,
+    4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072,
+    4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096,
+    4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288,
+    4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504,
+    4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776,
+    4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688,
+    4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664,
+    4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248,
+    5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272,
+    5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392,
+    5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736,
+    5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952,
+    5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648,
+    5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992,
+    5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016,
+    5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424,
+    5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008,
+    5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888,
+    5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680,
+    5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264,
+    6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240,
+    6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264,
+    6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848,
+    6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728,
+    6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520,
+    6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104,
+    6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080,
+    6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392,
+    6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976,
+    6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856,
+    6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648,
+    7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232,
+    7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112,
+    7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328,
+    7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864,
+    7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560,
+    7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632,
+    7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096,
+    7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528,
+    7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600,
+    7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064,
+    7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832,
+    8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296,
+    8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368,
+    8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272,
+    8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736,
+    8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600,
+    8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064,
+    8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136,
+    8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400,
+    8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960,
+    8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608,
+    9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240,
+    9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312,
+    9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824,
+    9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616,
+    9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128,
+    9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200,
+    9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560,
+    9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072,
+    10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816,
+    10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328,
+    10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840,
+    10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584,
+    10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048,
+    10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504,
+    10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992,
+    10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688,
+    11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296,
+    11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952,
+    11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672,
+    11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232,
+    11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080,
+    11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848,
+    12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336,
+    12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616,
+    12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152,
+    12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024,
+    13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280,
+    13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680,
+    13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576,
+    14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344,
+    14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184,
+    14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_BITREVIDX_FXT_4096)
+const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] =
+{
+    /* radix 4, size 4032 */
+    8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048,
+    72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720,
+    128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312,
+    184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552,
+    240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608,
+    296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136,
+    352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728,
+    408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968,
+    464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640,
+    528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304,
+    584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976,
+    640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568,
+    696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808,
+    752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248,
+    816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912,
+    872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368,
+    928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032,
+    984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320,
+    1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176,
+    1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464,
+    1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632,
+    1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776,
+    1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832,
+    1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688,
+    1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976,
+    1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144,
+    1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288,
+    1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576,
+    1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432,
+    1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720,
+    1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888,
+    1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032,
+    1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088,
+    1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944,
+    1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232,
+    1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400,
+    1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544,
+    2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256,
+    2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496,
+    2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784,
+    2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376,
+    2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232,
+    2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152,
+    2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008,
+    2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296,
+    2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888,
+    2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744,
+    2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896,
+    2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560,
+    2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728,
+    2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392,
+    2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680,
+    2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312,
+    2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976,
+    2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432,
+    2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288,
+    3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576,
+    3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480,
+    3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720,
+    3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312,
+    3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840,
+    3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896,
+    3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136,
+    3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424,
+    3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016,
+    3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872,
+    3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024,
+    3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688,
+    3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856,
+    3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144,
+    3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808,
+    3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440,
+    3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104,
+    3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560,
+    4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224,
+    4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416,
+    4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464,
+    4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752,
+    4232,17440, 4240,9248, 4248,25632, 4256,5152, 4264,21536, 4272,13344,
+    4280,29728, 4296,19488, 4304,11296, 4312,27680, 4320,7200, 4328,23584,
+    4336,15392, 4344,31776, 4360,16928, 4368,8736, 4376,25120, 4384,4640,
+    4392,21024, 4400,12832, 4408,29216, 4424,18976, 4432,10784, 4440,27168,
+    4448,6688, 4456,23072, 4464,14880, 4472,31264, 4488,17952, 4496,9760,
+    4504,26144, 4512,5664, 4520,22048, 4528,13856, 4536,30240, 4552,20000,
+    4560,11808, 4568,28192, 4576,7712, 4584,24096, 4592,15904, 4600,32288,
+    4616,16672, 4624,8480, 4632,24864, 4648,20768, 4656,12576, 4664,28960,
+    4680,18720, 4688,10528, 4696,26912, 4704,6432, 4712,22816, 4720,14624,
+    4728,31008, 4744,17696, 4752,9504, 4760,25888, 4768,5408, 4776,21792,
+    4784,13600, 4792,29984, 4808,19744, 4816,11552, 4824,27936, 4832,7456,
+    4840,23840, 4848,15648, 4856,32032, 4872,17184, 4880,8992, 4888,25376,
+    4904,21280, 4912,13088, 4920,29472, 4936,19232, 4944,11040, 4952,27424,
+    4960,6944, 4968,23328, 4976,15136, 4984,31520, 5000,18208, 5008,10016,
+    5016,26400, 5024,5920, 5032,22304, 5040,14112, 5048,30496, 5064,20256,
+    5072,12064, 5080,28448, 5088,7968, 5096,24352, 5104,16160, 5112,32544,
+    5128,16544, 5136,8352, 5144,24736, 5160,20640, 5168,12448, 5176,28832,
+    5192,18592, 5200,10400, 5208,26784, 5216,6304, 5224,22688, 5232,14496,
+    5240,30880, 5256,17568, 5264,9376, 5272,25760, 5288,21664, 5296,13472,
+    5304,29856, 5320,19616, 5328,11424, 5336,27808, 5344,7328, 5352,23712,
+    5360,15520, 5368,31904, 5384,17056, 5392,8864, 5400,25248, 5416,21152,
+    5424,12960, 5432,29344, 5448,19104, 5456,10912, 5464,27296, 5472,6816,
+    5480,23200, 5488,15008, 5496,31392, 5512,18080, 5520,9888, 5528,26272,
+    5536,5792, 5544,22176, 5552,13984, 5560,30368, 5576,20128, 5584,11936,
+    5592,28320, 5600,7840, 5608,24224, 5616,16032, 5624,32416, 5640,16800,
+    5648,8608, 5656,24992, 5672,20896, 5680,12704, 5688,29088, 5704,18848,
+    5712,10656, 5720,27040, 5728,6560, 5736,22944, 5744,14752, 5752,31136,
+    5768,17824, 5776,9632, 5784,26016, 5800,21920, 5808,13728, 5816,30112,
+    5832,19872, 5840,11680, 5848,28064, 5856,7584, 5864,23968, 5872,15776,
+    5880,32160, 5896,17312, 5904,9120, 5912,25504, 5928,21408, 5936,13216,
+    5944,29600, 5960,19360, 5968,11168, 5976,27552, 5984,7072, 5992,23456,
+    6000,15264, 6008,31648, 6024,18336, 6032,10144, 6040,26528, 6056,22432,
+    6064,14240, 6072,30624, 6088,20384, 6096,12192, 6104,28576, 6112,8096,
+    6120,24480, 6128,16288, 6136,32672, 6152,16480, 6160,8288, 6168,24672,
+    6184,20576, 6192,12384, 6200,28768, 6216,18528, 6224,10336, 6232,26720,
+    6248,22624, 6256,14432, 6264,30816, 6280,17504, 6288,9312, 6296,25696,
+    6312,21600, 6320,13408, 6328,29792, 6344,19552, 6352,11360, 6360,27744,
+    6368,7264, 6376,23648, 6384,15456, 6392,31840, 6408,16992, 6416,8800,
+    6424,25184, 6440,21088, 6448,12896, 6456,29280, 6472,19040, 6480,10848,
+    6488,27232, 6496,6752, 6504,23136, 6512,14944, 6520,31328, 6536,18016,
+    6544,9824, 6552,26208, 6568,22112, 6576,13920, 6584,30304, 6600,20064,
+    6608,11872, 6616,28256, 6624,7776, 6632,24160, 6640,15968, 6648,32352,
+    6664,16736, 6672,8544, 6680,24928, 6696,20832, 6704,12640, 6712,29024,
+    6728,18784, 6736,10592, 6744,26976, 6760,22880, 6768,14688, 6776,31072,
+    6792,17760, 6800,9568, 6808,25952, 6824,21856, 6832,13664, 6840,30048,
+    6856,19808, 6864,11616, 6872,28000, 6880,7520, 6888,23904, 6896,15712,
+    6904,32096, 6920,17248, 6928,9056, 6936,25440, 6952,21344, 6960,13152,
+    6968,29536, 6984,19296, 6992,11104, 7000,27488, 7016,23392, 7024,15200,
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+    28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168,
+    28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776,
+    28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312,
+    29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568,
+    29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160,
+    30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376,
+    31480,32120, 31736,32632, 32248,32504
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32)
+/**
+  @par
+  Example code for Floating-point RFFT Twiddle factors Generation:
+  @par
+  <pre>TW = exp(pi/2*i-2*pi*i*[0:L/2-1]/L).' </pre>
+  @par
+  Real and Imag values are in interleaved fashion
+*/
+const float32_t twiddleCoef_rfft_32[32] = {
+    0.000000000f,  1.000000000f,
+    0.195090322f,  0.980785280f,
+    0.382683432f,  0.923879533f,
+    0.555570233f,  0.831469612f,
+    0.707106781f,  0.707106781f,
+    0.831469612f,  0.555570233f,
+    0.923879533f,  0.382683432f,
+    0.980785280f,  0.195090322f,
+    1.000000000f,  0.000000000f,
+    0.980785280f, -0.195090322f,
+    0.923879533f, -0.382683432f,
+    0.831469612f, -0.555570233f,
+    0.707106781f, -0.707106781f,
+    0.555570233f, -0.831469612f,
+    0.382683432f, -0.923879533f,
+    0.195090322f, -0.980785280f
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64)
+const float32_t twiddleCoef_rfft_64[64] = {
+    0.000000000000000f,  1.000000000000000f,
+    0.098017140329561f,  0.995184726672197f,
+    0.195090322016128f,  0.980785280403230f,
+    0.290284677254462f,  0.956940335732209f,
+    0.382683432365090f,  0.923879532511287f,
+    0.471396736825998f,  0.881921264348355f,
+    0.555570233019602f,  0.831469612302545f,
+    0.634393284163645f,  0.773010453362737f,
+    0.707106781186547f,  0.707106781186548f,
+    0.773010453362737f,  0.634393284163645f,
+    0.831469612302545f,  0.555570233019602f,
+    0.881921264348355f,  0.471396736825998f,
+    0.923879532511287f,  0.382683432365090f,
+    0.956940335732209f,  0.290284677254462f,
+    0.980785280403230f,  0.195090322016128f,
+    0.995184726672197f,  0.098017140329561f,
+    1.000000000000000f,  0.000000000000000f,
+    0.995184726672197f, -0.098017140329561f,
+    0.980785280403230f, -0.195090322016128f,
+    0.956940335732209f, -0.290284677254462f,
+    0.923879532511287f, -0.382683432365090f,
+    0.881921264348355f, -0.471396736825998f,
+    0.831469612302545f, -0.555570233019602f,
+    0.773010453362737f, -0.634393284163645f,
+    0.707106781186548f, -0.707106781186547f,
+    0.634393284163645f, -0.773010453362737f,
+    0.555570233019602f, -0.831469612302545f,
+    0.471396736825998f, -0.881921264348355f,
+    0.382683432365090f, -0.923879532511287f,
+    0.290284677254462f, -0.956940335732209f,
+    0.195090322016129f, -0.980785280403230f,
+    0.098017140329561f, -0.995184726672197f
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128)
+const float32_t twiddleCoef_rfft_128[128] = {
+    0.000000000f,  1.000000000f,
+    0.049067674f,  0.998795456f,
+    0.098017140f,  0.995184727f,
+    0.146730474f,  0.989176510f,
+    0.195090322f,  0.980785280f,
+    0.242980180f,  0.970031253f,
+    0.290284677f,  0.956940336f,
+    0.336889853f,  0.941544065f,
+    0.382683432f,  0.923879533f,
+    0.427555093f,  0.903989293f,
+    0.471396737f,  0.881921264f,
+    0.514102744f,  0.857728610f,
+    0.555570233f,  0.831469612f,
+    0.595699304f,  0.803207531f,
+    0.634393284f,  0.773010453f,
+    0.671558955f,  0.740951125f,
+    0.707106781f,  0.707106781f,
+    0.740951125f,  0.671558955f,
+    0.773010453f,  0.634393284f,
+    0.803207531f,  0.595699304f,
+    0.831469612f,  0.555570233f,
+    0.857728610f,  0.514102744f,
+    0.881921264f,  0.471396737f,
+    0.903989293f,  0.427555093f,
+    0.923879533f,  0.382683432f,
+    0.941544065f,  0.336889853f,
+    0.956940336f,  0.290284677f,
+    0.970031253f,  0.242980180f,
+    0.980785280f,  0.195090322f,
+    0.989176510f,  0.146730474f,
+    0.995184727f,  0.098017140f,
+    0.998795456f,  0.049067674f,
+    1.000000000f,  0.000000000f,
+    0.998795456f, -0.049067674f,
+    0.995184727f, -0.098017140f,
+    0.989176510f, -0.146730474f,
+    0.980785280f, -0.195090322f,
+    0.970031253f, -0.242980180f,
+    0.956940336f, -0.290284677f,
+    0.941544065f, -0.336889853f,
+    0.923879533f, -0.382683432f,
+    0.903989293f, -0.427555093f,
+    0.881921264f, -0.471396737f,
+    0.857728610f, -0.514102744f,
+    0.831469612f, -0.555570233f,
+    0.803207531f, -0.595699304f,
+    0.773010453f, -0.634393284f,
+    0.740951125f, -0.671558955f,
+    0.707106781f, -0.707106781f,
+    0.671558955f, -0.740951125f,
+    0.634393284f, -0.773010453f,
+    0.595699304f, -0.803207531f,
+    0.555570233f, -0.831469612f,
+    0.514102744f, -0.857728610f,
+    0.471396737f, -0.881921264f,
+    0.427555093f, -0.903989293f,
+    0.382683432f, -0.923879533f,
+    0.336889853f, -0.941544065f,
+    0.290284677f, -0.956940336f,
+    0.242980180f, -0.970031253f,
+    0.195090322f, -0.980785280f,
+    0.146730474f, -0.989176510f,
+    0.098017140f, -0.995184727f,
+    0.049067674f, -0.998795456f
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256)
+const float32_t twiddleCoef_rfft_256[256] = {
+    0.000000000f,  1.000000000f,
+    0.024541229f,  0.999698819f,
+    0.049067674f,  0.998795456f,
+    0.073564564f,  0.997290457f,
+    0.098017140f,  0.995184727f,
+    0.122410675f,  0.992479535f,
+    0.146730474f,  0.989176510f,
+    0.170961889f,  0.985277642f,
+    0.195090322f,  0.980785280f,
+    0.219101240f,  0.975702130f,
+    0.242980180f,  0.970031253f,
+    0.266712757f,  0.963776066f,
+    0.290284677f,  0.956940336f,
+    0.313681740f,  0.949528181f,
+    0.336889853f,  0.941544065f,
+    0.359895037f,  0.932992799f,
+    0.382683432f,  0.923879533f,
+    0.405241314f,  0.914209756f,
+    0.427555093f,  0.903989293f,
+    0.449611330f,  0.893224301f,
+    0.471396737f,  0.881921264f,
+    0.492898192f,  0.870086991f,
+    0.514102744f,  0.857728610f,
+    0.534997620f,  0.844853565f,
+    0.555570233f,  0.831469612f,
+    0.575808191f,  0.817584813f,
+    0.595699304f,  0.803207531f,
+    0.615231591f,  0.788346428f,
+    0.634393284f,  0.773010453f,
+    0.653172843f,  0.757208847f,
+    0.671558955f,  0.740951125f,
+    0.689540545f,  0.724247083f,
+    0.707106781f,  0.707106781f,
+    0.724247083f,  0.689540545f,
+    0.740951125f,  0.671558955f,
+    0.757208847f,  0.653172843f,
+    0.773010453f,  0.634393284f,
+    0.788346428f,  0.615231591f,
+    0.803207531f,  0.595699304f,
+    0.817584813f,  0.575808191f,
+    0.831469612f,  0.555570233f,
+    0.844853565f,  0.534997620f,
+    0.857728610f,  0.514102744f,
+    0.870086991f,  0.492898192f,
+    0.881921264f,  0.471396737f,
+    0.893224301f,  0.449611330f,
+    0.903989293f,  0.427555093f,
+    0.914209756f,  0.405241314f,
+    0.923879533f,  0.382683432f,
+    0.932992799f,  0.359895037f,
+    0.941544065f,  0.336889853f,
+    0.949528181f,  0.313681740f,
+    0.956940336f,  0.290284677f,
+    0.963776066f,  0.266712757f,
+    0.970031253f,  0.242980180f,
+    0.975702130f,  0.219101240f,
+    0.980785280f,  0.195090322f,
+    0.985277642f,  0.170961889f,
+    0.989176510f,  0.146730474f,
+    0.992479535f,  0.122410675f,
+    0.995184727f,  0.098017140f,
+    0.997290457f,  0.073564564f,
+    0.998795456f,  0.049067674f,
+    0.999698819f,  0.024541229f,
+    1.000000000f,  0.000000000f,
+    0.999698819f, -0.024541229f,
+    0.998795456f, -0.049067674f,
+    0.997290457f, -0.073564564f,
+    0.995184727f, -0.098017140f,
+    0.992479535f, -0.122410675f,
+    0.989176510f, -0.146730474f,
+    0.985277642f, -0.170961889f,
+    0.980785280f, -0.195090322f,
+    0.975702130f, -0.219101240f,
+    0.970031253f, -0.242980180f,
+    0.963776066f, -0.266712757f,
+    0.956940336f, -0.290284677f,
+    0.949528181f, -0.313681740f,
+    0.941544065f, -0.336889853f,
+    0.932992799f, -0.359895037f,
+    0.923879533f, -0.382683432f,
+    0.914209756f, -0.405241314f,
+    0.903989293f, -0.427555093f,
+    0.893224301f, -0.449611330f,
+    0.881921264f, -0.471396737f,
+    0.870086991f, -0.492898192f,
+    0.857728610f, -0.514102744f,
+    0.844853565f, -0.534997620f,
+    0.831469612f, -0.555570233f,
+    0.817584813f, -0.575808191f,
+    0.803207531f, -0.595699304f,
+    0.788346428f, -0.615231591f,
+    0.773010453f, -0.634393284f,
+    0.757208847f, -0.653172843f,
+    0.740951125f, -0.671558955f,
+    0.724247083f, -0.689540545f,
+    0.707106781f, -0.707106781f,
+    0.689540545f, -0.724247083f,
+    0.671558955f, -0.740951125f,
+    0.653172843f, -0.757208847f,
+    0.634393284f, -0.773010453f,
+    0.615231591f, -0.788346428f,
+    0.595699304f, -0.803207531f,
+    0.575808191f, -0.817584813f,
+    0.555570233f, -0.831469612f,
+    0.534997620f, -0.844853565f,
+    0.514102744f, -0.857728610f,
+    0.492898192f, -0.870086991f,
+    0.471396737f, -0.881921264f,
+    0.449611330f, -0.893224301f,
+    0.427555093f, -0.903989293f,
+    0.405241314f, -0.914209756f,
+    0.382683432f, -0.923879533f,
+    0.359895037f, -0.932992799f,
+    0.336889853f, -0.941544065f,
+    0.313681740f, -0.949528181f,
+    0.290284677f, -0.956940336f,
+    0.266712757f, -0.963776066f,
+    0.242980180f, -0.970031253f,
+    0.219101240f, -0.975702130f,
+    0.195090322f, -0.980785280f,
+    0.170961889f, -0.985277642f,
+    0.146730474f, -0.989176510f,
+    0.122410675f, -0.992479535f,
+    0.098017140f, -0.995184727f,
+    0.073564564f, -0.997290457f,
+    0.049067674f, -0.998795456f,
+    0.024541229f, -0.999698819f
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512)
+const float32_t twiddleCoef_rfft_512[512] = {
+    0.000000000f,  1.000000000f,
+    0.012271538f,  0.999924702f,
+    0.024541229f,  0.999698819f,
+    0.036807223f,  0.999322385f,
+    0.049067674f,  0.998795456f,
+    0.061320736f,  0.998118113f,
+    0.073564564f,  0.997290457f,
+    0.085797312f,  0.996312612f,
+    0.098017140f,  0.995184727f,
+    0.110222207f,  0.993906970f,
+    0.122410675f,  0.992479535f,
+    0.134580709f,  0.990902635f,
+    0.146730474f,  0.989176510f,
+    0.158858143f,  0.987301418f,
+    0.170961889f,  0.985277642f,
+    0.183039888f,  0.983105487f,
+    0.195090322f,  0.980785280f,
+    0.207111376f,  0.978317371f,
+    0.219101240f,  0.975702130f,
+    0.231058108f,  0.972939952f,
+    0.242980180f,  0.970031253f,
+    0.254865660f,  0.966976471f,
+    0.266712757f,  0.963776066f,
+    0.278519689f,  0.960430519f,
+    0.290284677f,  0.956940336f,
+    0.302005949f,  0.953306040f,
+    0.313681740f,  0.949528181f,
+    0.325310292f,  0.945607325f,
+    0.336889853f,  0.941544065f,
+    0.348418680f,  0.937339012f,
+    0.359895037f,  0.932992799f,
+    0.371317194f,  0.928506080f,
+    0.382683432f,  0.923879533f,
+    0.393992040f,  0.919113852f,
+    0.405241314f,  0.914209756f,
+    0.416429560f,  0.909167983f,
+    0.427555093f,  0.903989293f,
+    0.438616239f,  0.898674466f,
+    0.449611330f,  0.893224301f,
+    0.460538711f,  0.887639620f,
+    0.471396737f,  0.881921264f,
+    0.482183772f,  0.876070094f,
+    0.492898192f,  0.870086991f,
+    0.503538384f,  0.863972856f,
+    0.514102744f,  0.857728610f,
+    0.524589683f,  0.851355193f,
+    0.534997620f,  0.844853565f,
+    0.545324988f,  0.838224706f,
+    0.555570233f,  0.831469612f,
+    0.565731811f,  0.824589303f,
+    0.575808191f,  0.817584813f,
+    0.585797857f,  0.810457198f,
+    0.595699304f,  0.803207531f,
+    0.605511041f,  0.795836905f,
+    0.615231591f,  0.788346428f,
+    0.624859488f,  0.780737229f,
+    0.634393284f,  0.773010453f,
+    0.643831543f,  0.765167266f,
+    0.653172843f,  0.757208847f,
+    0.662415778f,  0.749136395f,
+    0.671558955f,  0.740951125f,
+    0.680600998f,  0.732654272f,
+    0.689540545f,  0.724247083f,
+    0.698376249f,  0.715730825f,
+    0.707106781f,  0.707106781f,
+    0.715730825f,  0.698376249f,
+    0.724247083f,  0.689540545f,
+    0.732654272f,  0.680600998f,
+    0.740951125f,  0.671558955f,
+    0.749136395f,  0.662415778f,
+    0.757208847f,  0.653172843f,
+    0.765167266f,  0.643831543f,
+    0.773010453f,  0.634393284f,
+    0.780737229f,  0.624859488f,
+    0.788346428f,  0.615231591f,
+    0.795836905f,  0.605511041f,
+    0.803207531f,  0.595699304f,
+    0.810457198f,  0.585797857f,
+    0.817584813f,  0.575808191f,
+    0.824589303f,  0.565731811f,
+    0.831469612f,  0.555570233f,
+    0.838224706f,  0.545324988f,
+    0.844853565f,  0.534997620f,
+    0.851355193f,  0.524589683f,
+    0.857728610f,  0.514102744f,
+    0.863972856f,  0.503538384f,
+    0.870086991f,  0.492898192f,
+    0.876070094f,  0.482183772f,
+    0.881921264f,  0.471396737f,
+    0.887639620f,  0.460538711f,
+    0.893224301f,  0.449611330f,
+    0.898674466f,  0.438616239f,
+    0.903989293f,  0.427555093f,
+    0.909167983f,  0.416429560f,
+    0.914209756f,  0.405241314f,
+    0.919113852f,  0.393992040f,
+    0.923879533f,  0.382683432f,
+    0.928506080f,  0.371317194f,
+    0.932992799f,  0.359895037f,
+    0.937339012f,  0.348418680f,
+    0.941544065f,  0.336889853f,
+    0.945607325f,  0.325310292f,
+    0.949528181f,  0.313681740f,
+    0.953306040f,  0.302005949f,
+    0.956940336f,  0.290284677f,
+    0.960430519f,  0.278519689f,
+    0.963776066f,  0.266712757f,
+    0.966976471f,  0.254865660f,
+    0.970031253f,  0.242980180f,
+    0.972939952f,  0.231058108f,
+    0.975702130f,  0.219101240f,
+    0.978317371f,  0.207111376f,
+    0.980785280f,  0.195090322f,
+    0.983105487f,  0.183039888f,
+    0.985277642f,  0.170961889f,
+    0.987301418f,  0.158858143f,
+    0.989176510f,  0.146730474f,
+    0.990902635f,  0.134580709f,
+    0.992479535f,  0.122410675f,
+    0.993906970f,  0.110222207f,
+    0.995184727f,  0.098017140f,
+    0.996312612f,  0.085797312f,
+    0.997290457f,  0.073564564f,
+    0.998118113f,  0.061320736f,
+    0.998795456f,  0.049067674f,
+    0.999322385f,  0.036807223f,
+    0.999698819f,  0.024541229f,
+    0.999924702f,  0.012271538f,
+    1.000000000f,  0.000000000f,
+    0.999924702f, -0.012271538f,
+    0.999698819f, -0.024541229f,
+    0.999322385f, -0.036807223f,
+    0.998795456f, -0.049067674f,
+    0.998118113f, -0.061320736f,
+    0.997290457f, -0.073564564f,
+    0.996312612f, -0.085797312f,
+    0.995184727f, -0.098017140f,
+    0.993906970f, -0.110222207f,
+    0.992479535f, -0.122410675f,
+    0.990902635f, -0.134580709f,
+    0.989176510f, -0.146730474f,
+    0.987301418f, -0.158858143f,
+    0.985277642f, -0.170961889f,
+    0.983105487f, -0.183039888f,
+    0.980785280f, -0.195090322f,
+    0.978317371f, -0.207111376f,
+    0.975702130f, -0.219101240f,
+    0.972939952f, -0.231058108f,
+    0.970031253f, -0.242980180f,
+    0.966976471f, -0.254865660f,
+    0.963776066f, -0.266712757f,
+    0.960430519f, -0.278519689f,
+    0.956940336f, -0.290284677f,
+    0.953306040f, -0.302005949f,
+    0.949528181f, -0.313681740f,
+    0.945607325f, -0.325310292f,
+    0.941544065f, -0.336889853f,
+    0.937339012f, -0.348418680f,
+    0.932992799f, -0.359895037f,
+    0.928506080f, -0.371317194f,
+    0.923879533f, -0.382683432f,
+    0.919113852f, -0.393992040f,
+    0.914209756f, -0.405241314f,
+    0.909167983f, -0.416429560f,
+    0.903989293f, -0.427555093f,
+    0.898674466f, -0.438616239f,
+    0.893224301f, -0.449611330f,
+    0.887639620f, -0.460538711f,
+    0.881921264f, -0.471396737f,
+    0.876070094f, -0.482183772f,
+    0.870086991f, -0.492898192f,
+    0.863972856f, -0.503538384f,
+    0.857728610f, -0.514102744f,
+    0.851355193f, -0.524589683f,
+    0.844853565f, -0.534997620f,
+    0.838224706f, -0.545324988f,
+    0.831469612f, -0.555570233f,
+    0.824589303f, -0.565731811f,
+    0.817584813f, -0.575808191f,
+    0.810457198f, -0.585797857f,
+    0.803207531f, -0.595699304f,
+    0.795836905f, -0.605511041f,
+    0.788346428f, -0.615231591f,
+    0.780737229f, -0.624859488f,
+    0.773010453f, -0.634393284f,
+    0.765167266f, -0.643831543f,
+    0.757208847f, -0.653172843f,
+    0.749136395f, -0.662415778f,
+    0.740951125f, -0.671558955f,
+    0.732654272f, -0.680600998f,
+    0.724247083f, -0.689540545f,
+    0.715730825f, -0.698376249f,
+    0.707106781f, -0.707106781f,
+    0.698376249f, -0.715730825f,
+    0.689540545f, -0.724247083f,
+    0.680600998f, -0.732654272f,
+    0.671558955f, -0.740951125f,
+    0.662415778f, -0.749136395f,
+    0.653172843f, -0.757208847f,
+    0.643831543f, -0.765167266f,
+    0.634393284f, -0.773010453f,
+    0.624859488f, -0.780737229f,
+    0.615231591f, -0.788346428f,
+    0.605511041f, -0.795836905f,
+    0.595699304f, -0.803207531f,
+    0.585797857f, -0.810457198f,
+    0.575808191f, -0.817584813f,
+    0.565731811f, -0.824589303f,
+    0.555570233f, -0.831469612f,
+    0.545324988f, -0.838224706f,
+    0.534997620f, -0.844853565f,
+    0.524589683f, -0.851355193f,
+    0.514102744f, -0.857728610f,
+    0.503538384f, -0.863972856f,
+    0.492898192f, -0.870086991f,
+    0.482183772f, -0.876070094f,
+    0.471396737f, -0.881921264f,
+    0.460538711f, -0.887639620f,
+    0.449611330f, -0.893224301f,
+    0.438616239f, -0.898674466f,
+    0.427555093f, -0.903989293f,
+    0.416429560f, -0.909167983f,
+    0.405241314f, -0.914209756f,
+    0.393992040f, -0.919113852f,
+    0.382683432f, -0.923879533f,
+    0.371317194f, -0.928506080f,
+    0.359895037f, -0.932992799f,
+    0.348418680f, -0.937339012f,
+    0.336889853f, -0.941544065f,
+    0.325310292f, -0.945607325f,
+    0.313681740f, -0.949528181f,
+    0.302005949f, -0.953306040f,
+    0.290284677f, -0.956940336f,
+    0.278519689f, -0.960430519f,
+    0.266712757f, -0.963776066f,
+    0.254865660f, -0.966976471f,
+    0.242980180f, -0.970031253f,
+    0.231058108f, -0.972939952f,
+    0.219101240f, -0.975702130f,
+    0.207111376f, -0.978317371f,
+    0.195090322f, -0.980785280f,
+    0.183039888f, -0.983105487f,
+    0.170961889f, -0.985277642f,
+    0.158858143f, -0.987301418f,
+    0.146730474f, -0.989176510f,
+    0.134580709f, -0.990902635f,
+    0.122410675f, -0.992479535f,
+    0.110222207f, -0.993906970f,
+    0.098017140f, -0.995184727f,
+    0.085797312f, -0.996312612f,
+    0.073564564f, -0.997290457f,
+    0.061320736f, -0.998118113f,
+    0.049067674f, -0.998795456f,
+    0.036807223f, -0.999322385f,
+    0.024541229f, -0.999698819f,
+    0.012271538f, -0.999924702f
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024)
+const float32_t twiddleCoef_rfft_1024[1024] = {
+    0.000000000f,  1.000000000f,
+    0.006135885f,  0.999981175f,
+    0.012271538f,  0.999924702f,
+    0.018406730f,  0.999830582f,
+    0.024541229f,  0.999698819f,
+    0.030674803f,  0.999529418f,
+    0.036807223f,  0.999322385f,
+    0.042938257f,  0.999077728f,
+    0.049067674f,  0.998795456f,
+    0.055195244f,  0.998475581f,
+    0.061320736f,  0.998118113f,
+    0.067443920f,  0.997723067f,
+    0.073564564f,  0.997290457f,
+    0.079682438f,  0.996820299f,
+    0.085797312f,  0.996312612f,
+    0.091908956f,  0.995767414f,
+    0.098017140f,  0.995184727f,
+    0.104121634f,  0.994564571f,
+    0.110222207f,  0.993906970f,
+    0.116318631f,  0.993211949f,
+    0.122410675f,  0.992479535f,
+    0.128498111f,  0.991709754f,
+    0.134580709f,  0.990902635f,
+    0.140658239f,  0.990058210f,
+    0.146730474f,  0.989176510f,
+    0.152797185f,  0.988257568f,
+    0.158858143f,  0.987301418f,
+    0.164913120f,  0.986308097f,
+    0.170961889f,  0.985277642f,
+    0.177004220f,  0.984210092f,
+    0.183039888f,  0.983105487f,
+    0.189068664f,  0.981963869f,
+    0.195090322f,  0.980785280f,
+    0.201104635f,  0.979569766f,
+    0.207111376f,  0.978317371f,
+    0.213110320f,  0.977028143f,
+    0.219101240f,  0.975702130f,
+    0.225083911f,  0.974339383f,
+    0.231058108f,  0.972939952f,
+    0.237023606f,  0.971503891f,
+    0.242980180f,  0.970031253f,
+    0.248927606f,  0.968522094f,
+    0.254865660f,  0.966976471f,
+    0.260794118f,  0.965394442f,
+    0.266712757f,  0.963776066f,
+    0.272621355f,  0.962121404f,
+    0.278519689f,  0.960430519f,
+    0.284407537f,  0.958703475f,
+    0.290284677f,  0.956940336f,
+    0.296150888f,  0.955141168f,
+    0.302005949f,  0.953306040f,
+    0.307849640f,  0.951435021f,
+    0.313681740f,  0.949528181f,
+    0.319502031f,  0.947585591f,
+    0.325310292f,  0.945607325f,
+    0.331106306f,  0.943593458f,
+    0.336889853f,  0.941544065f,
+    0.342660717f,  0.939459224f,
+    0.348418680f,  0.937339012f,
+    0.354163525f,  0.935183510f,
+    0.359895037f,  0.932992799f,
+    0.365612998f,  0.930766961f,
+    0.371317194f,  0.928506080f,
+    0.377007410f,  0.926210242f,
+    0.382683432f,  0.923879533f,
+    0.388345047f,  0.921514039f,
+    0.393992040f,  0.919113852f,
+    0.399624200f,  0.916679060f,
+    0.405241314f,  0.914209756f,
+    0.410843171f,  0.911706032f,
+    0.416429560f,  0.909167983f,
+    0.422000271f,  0.906595705f,
+    0.427555093f,  0.903989293f,
+    0.433093819f,  0.901348847f,
+    0.438616239f,  0.898674466f,
+    0.444122145f,  0.895966250f,
+    0.449611330f,  0.893224301f,
+    0.455083587f,  0.890448723f,
+    0.460538711f,  0.887639620f,
+    0.465976496f,  0.884797098f,
+    0.471396737f,  0.881921264f,
+    0.476799230f,  0.879012226f,
+    0.482183772f,  0.876070094f,
+    0.487550160f,  0.873094978f,
+    0.492898192f,  0.870086991f,
+    0.498227667f,  0.867046246f,
+    0.503538384f,  0.863972856f,
+    0.508830143f,  0.860866939f,
+    0.514102744f,  0.857728610f,
+    0.519355990f,  0.854557988f,
+    0.524589683f,  0.851355193f,
+    0.529803625f,  0.848120345f,
+    0.534997620f,  0.844853565f,
+    0.540171473f,  0.841554977f,
+    0.545324988f,  0.838224706f,
+    0.550457973f,  0.834862875f,
+    0.555570233f,  0.831469612f,
+    0.560661576f,  0.828045045f,
+    0.565731811f,  0.824589303f,
+    0.570780746f,  0.821102515f,
+    0.575808191f,  0.817584813f,
+    0.580813958f,  0.814036330f,
+    0.585797857f,  0.810457198f,
+    0.590759702f,  0.806847554f,
+    0.595699304f,  0.803207531f,
+    0.600616479f,  0.799537269f,
+    0.605511041f,  0.795836905f,
+    0.610382806f,  0.792106577f,
+    0.615231591f,  0.788346428f,
+    0.620057212f,  0.784556597f,
+    0.624859488f,  0.780737229f,
+    0.629638239f,  0.776888466f,
+    0.634393284f,  0.773010453f,
+    0.639124445f,  0.769103338f,
+    0.643831543f,  0.765167266f,
+    0.648514401f,  0.761202385f,
+    0.653172843f,  0.757208847f,
+    0.657806693f,  0.753186799f,
+    0.662415778f,  0.749136395f,
+    0.666999922f,  0.745057785f,
+    0.671558955f,  0.740951125f,
+    0.676092704f,  0.736816569f,
+    0.680600998f,  0.732654272f,
+    0.685083668f,  0.728464390f,
+    0.689540545f,  0.724247083f,
+    0.693971461f,  0.720002508f,
+    0.698376249f,  0.715730825f,
+    0.702754744f,  0.711432196f,
+    0.707106781f,  0.707106781f,
+    0.711432196f,  0.702754744f,
+    0.715730825f,  0.698376249f,
+    0.720002508f,  0.693971461f,
+    0.724247083f,  0.689540545f,
+    0.728464390f,  0.685083668f,
+    0.732654272f,  0.680600998f,
+    0.736816569f,  0.676092704f,
+    0.740951125f,  0.671558955f,
+    0.745057785f,  0.666999922f,
+    0.749136395f,  0.662415778f,
+    0.753186799f,  0.657806693f,
+    0.757208847f,  0.653172843f,
+    0.761202385f,  0.648514401f,
+    0.765167266f,  0.643831543f,
+    0.769103338f,  0.639124445f,
+    0.773010453f,  0.634393284f,
+    0.776888466f,  0.629638239f,
+    0.780737229f,  0.624859488f,
+    0.784556597f,  0.620057212f,
+    0.788346428f,  0.615231591f,
+    0.792106577f,  0.610382806f,
+    0.795836905f,  0.605511041f,
+    0.799537269f,  0.600616479f,
+    0.803207531f,  0.595699304f,
+    0.806847554f,  0.590759702f,
+    0.810457198f,  0.585797857f,
+    0.814036330f,  0.580813958f,
+    0.817584813f,  0.575808191f,
+    0.821102515f,  0.570780746f,
+    0.824589303f,  0.565731811f,
+    0.828045045f,  0.560661576f,
+    0.831469612f,  0.555570233f,
+    0.834862875f,  0.550457973f,
+    0.838224706f,  0.545324988f,
+    0.841554977f,  0.540171473f,
+    0.844853565f,  0.534997620f,
+    0.848120345f,  0.529803625f,
+    0.851355193f,  0.524589683f,
+    0.854557988f,  0.519355990f,
+    0.857728610f,  0.514102744f,
+    0.860866939f,  0.508830143f,
+    0.863972856f,  0.503538384f,
+    0.867046246f,  0.498227667f,
+    0.870086991f,  0.492898192f,
+    0.873094978f,  0.487550160f,
+    0.876070094f,  0.482183772f,
+    0.879012226f,  0.476799230f,
+    0.881921264f,  0.471396737f,
+    0.884797098f,  0.465976496f,
+    0.887639620f,  0.460538711f,
+    0.890448723f,  0.455083587f,
+    0.893224301f,  0.449611330f,
+    0.895966250f,  0.444122145f,
+    0.898674466f,  0.438616239f,
+    0.901348847f,  0.433093819f,
+    0.903989293f,  0.427555093f,
+    0.906595705f,  0.422000271f,
+    0.909167983f,  0.416429560f,
+    0.911706032f,  0.410843171f,
+    0.914209756f,  0.405241314f,
+    0.916679060f,  0.399624200f,
+    0.919113852f,  0.393992040f,
+    0.921514039f,  0.388345047f,
+    0.923879533f,  0.382683432f,
+    0.926210242f,  0.377007410f,
+    0.928506080f,  0.371317194f,
+    0.930766961f,  0.365612998f,
+    0.932992799f,  0.359895037f,
+    0.935183510f,  0.354163525f,
+    0.937339012f,  0.348418680f,
+    0.939459224f,  0.342660717f,
+    0.941544065f,  0.336889853f,
+    0.943593458f,  0.331106306f,
+    0.945607325f,  0.325310292f,
+    0.947585591f,  0.319502031f,
+    0.949528181f,  0.313681740f,
+    0.951435021f,  0.307849640f,
+    0.953306040f,  0.302005949f,
+    0.955141168f,  0.296150888f,
+    0.956940336f,  0.290284677f,
+    0.958703475f,  0.284407537f,
+    0.960430519f,  0.278519689f,
+    0.962121404f,  0.272621355f,
+    0.963776066f,  0.266712757f,
+    0.965394442f,  0.260794118f,
+    0.966976471f,  0.254865660f,
+    0.968522094f,  0.248927606f,
+    0.970031253f,  0.242980180f,
+    0.971503891f,  0.237023606f,
+    0.972939952f,  0.231058108f,
+    0.974339383f,  0.225083911f,
+    0.975702130f,  0.219101240f,
+    0.977028143f,  0.213110320f,
+    0.978317371f,  0.207111376f,
+    0.979569766f,  0.201104635f,
+    0.980785280f,  0.195090322f,
+    0.981963869f,  0.189068664f,
+    0.983105487f,  0.183039888f,
+    0.984210092f,  0.177004220f,
+    0.985277642f,  0.170961889f,
+    0.986308097f,  0.164913120f,
+    0.987301418f,  0.158858143f,
+    0.988257568f,  0.152797185f,
+    0.989176510f,  0.146730474f,
+    0.990058210f,  0.140658239f,
+    0.990902635f,  0.134580709f,
+    0.991709754f,  0.128498111f,
+    0.992479535f,  0.122410675f,
+    0.993211949f,  0.116318631f,
+    0.993906970f,  0.110222207f,
+    0.994564571f,  0.104121634f,
+    0.995184727f,  0.098017140f,
+    0.995767414f,  0.091908956f,
+    0.996312612f,  0.085797312f,
+    0.996820299f,  0.079682438f,
+    0.997290457f,  0.073564564f,
+    0.997723067f,  0.067443920f,
+    0.998118113f,  0.061320736f,
+    0.998475581f,  0.055195244f,
+    0.998795456f,  0.049067674f,
+    0.999077728f,  0.042938257f,
+    0.999322385f,  0.036807223f,
+    0.999529418f,  0.030674803f,
+    0.999698819f,  0.024541229f,
+    0.999830582f,  0.018406730f,
+    0.999924702f,  0.012271538f,
+    0.999981175f,  0.006135885f,
+    1.000000000f,  0.000000000f,
+    0.999981175f, -0.006135885f,
+    0.999924702f, -0.012271538f,
+    0.999830582f, -0.018406730f,
+    0.999698819f, -0.024541229f,
+    0.999529418f, -0.030674803f,
+    0.999322385f, -0.036807223f,
+    0.999077728f, -0.042938257f,
+    0.998795456f, -0.049067674f,
+    0.998475581f, -0.055195244f,
+    0.998118113f, -0.061320736f,
+    0.997723067f, -0.067443920f,
+    0.997290457f, -0.073564564f,
+    0.996820299f, -0.079682438f,
+    0.996312612f, -0.085797312f,
+    0.995767414f, -0.091908956f,
+    0.995184727f, -0.098017140f,
+    0.994564571f, -0.104121634f,
+    0.993906970f, -0.110222207f,
+    0.993211949f, -0.116318631f,
+    0.992479535f, -0.122410675f,
+    0.991709754f, -0.128498111f,
+    0.990902635f, -0.134580709f,
+    0.990058210f, -0.140658239f,
+    0.989176510f, -0.146730474f,
+    0.988257568f, -0.152797185f,
+    0.987301418f, -0.158858143f,
+    0.986308097f, -0.164913120f,
+    0.985277642f, -0.170961889f,
+    0.984210092f, -0.177004220f,
+    0.983105487f, -0.183039888f,
+    0.981963869f, -0.189068664f,
+    0.980785280f, -0.195090322f,
+    0.979569766f, -0.201104635f,
+    0.978317371f, -0.207111376f,
+    0.977028143f, -0.213110320f,
+    0.975702130f, -0.219101240f,
+    0.974339383f, -0.225083911f,
+    0.972939952f, -0.231058108f,
+    0.971503891f, -0.237023606f,
+    0.970031253f, -0.242980180f,
+    0.968522094f, -0.248927606f,
+    0.966976471f, -0.254865660f,
+    0.965394442f, -0.260794118f,
+    0.963776066f, -0.266712757f,
+    0.962121404f, -0.272621355f,
+    0.960430519f, -0.278519689f,
+    0.958703475f, -0.284407537f,
+    0.956940336f, -0.290284677f,
+    0.955141168f, -0.296150888f,
+    0.953306040f, -0.302005949f,
+    0.951435021f, -0.307849640f,
+    0.949528181f, -0.313681740f,
+    0.947585591f, -0.319502031f,
+    0.945607325f, -0.325310292f,
+    0.943593458f, -0.331106306f,
+    0.941544065f, -0.336889853f,
+    0.939459224f, -0.342660717f,
+    0.937339012f, -0.348418680f,
+    0.935183510f, -0.354163525f,
+    0.932992799f, -0.359895037f,
+    0.930766961f, -0.365612998f,
+    0.928506080f, -0.371317194f,
+    0.926210242f, -0.377007410f,
+    0.923879533f, -0.382683432f,
+    0.921514039f, -0.388345047f,
+    0.919113852f, -0.393992040f,
+    0.916679060f, -0.399624200f,
+    0.914209756f, -0.405241314f,
+    0.911706032f, -0.410843171f,
+    0.909167983f, -0.416429560f,
+    0.906595705f, -0.422000271f,
+    0.903989293f, -0.427555093f,
+    0.901348847f, -0.433093819f,
+    0.898674466f, -0.438616239f,
+    0.895966250f, -0.444122145f,
+    0.893224301f, -0.449611330f,
+    0.890448723f, -0.455083587f,
+    0.887639620f, -0.460538711f,
+    0.884797098f, -0.465976496f,
+    0.881921264f, -0.471396737f,
+    0.879012226f, -0.476799230f,
+    0.876070094f, -0.482183772f,
+    0.873094978f, -0.487550160f,
+    0.870086991f, -0.492898192f,
+    0.867046246f, -0.498227667f,
+    0.863972856f, -0.503538384f,
+    0.860866939f, -0.508830143f,
+    0.857728610f, -0.514102744f,
+    0.854557988f, -0.519355990f,
+    0.851355193f, -0.524589683f,
+    0.848120345f, -0.529803625f,
+    0.844853565f, -0.534997620f,
+    0.841554977f, -0.540171473f,
+    0.838224706f, -0.545324988f,
+    0.834862875f, -0.550457973f,
+    0.831469612f, -0.555570233f,
+    0.828045045f, -0.560661576f,
+    0.824589303f, -0.565731811f,
+    0.821102515f, -0.570780746f,
+    0.817584813f, -0.575808191f,
+    0.814036330f, -0.580813958f,
+    0.810457198f, -0.585797857f,
+    0.806847554f, -0.590759702f,
+    0.803207531f, -0.595699304f,
+    0.799537269f, -0.600616479f,
+    0.795836905f, -0.605511041f,
+    0.792106577f, -0.610382806f,
+    0.788346428f, -0.615231591f,
+    0.784556597f, -0.620057212f,
+    0.780737229f, -0.624859488f,
+    0.776888466f, -0.629638239f,
+    0.773010453f, -0.634393284f,
+    0.769103338f, -0.639124445f,
+    0.765167266f, -0.643831543f,
+    0.761202385f, -0.648514401f,
+    0.757208847f, -0.653172843f,
+    0.753186799f, -0.657806693f,
+    0.749136395f, -0.662415778f,
+    0.745057785f, -0.666999922f,
+    0.740951125f, -0.671558955f,
+    0.736816569f, -0.676092704f,
+    0.732654272f, -0.680600998f,
+    0.728464390f, -0.685083668f,
+    0.724247083f, -0.689540545f,
+    0.720002508f, -0.693971461f,
+    0.715730825f, -0.698376249f,
+    0.711432196f, -0.702754744f,
+    0.707106781f, -0.707106781f,
+    0.702754744f, -0.711432196f,
+    0.698376249f, -0.715730825f,
+    0.693971461f, -0.720002508f,
+    0.689540545f, -0.724247083f,
+    0.685083668f, -0.728464390f,
+    0.680600998f, -0.732654272f,
+    0.676092704f, -0.736816569f,
+    0.671558955f, -0.740951125f,
+    0.666999922f, -0.745057785f,
+    0.662415778f, -0.749136395f,
+    0.657806693f, -0.753186799f,
+    0.653172843f, -0.757208847f,
+    0.648514401f, -0.761202385f,
+    0.643831543f, -0.765167266f,
+    0.639124445f, -0.769103338f,
+    0.634393284f, -0.773010453f,
+    0.629638239f, -0.776888466f,
+    0.624859488f, -0.780737229f,
+    0.620057212f, -0.784556597f,
+    0.615231591f, -0.788346428f,
+    0.610382806f, -0.792106577f,
+    0.605511041f, -0.795836905f,
+    0.600616479f, -0.799537269f,
+    0.595699304f, -0.803207531f,
+    0.590759702f, -0.806847554f,
+    0.585797857f, -0.810457198f,
+    0.580813958f, -0.814036330f,
+    0.575808191f, -0.817584813f,
+    0.570780746f, -0.821102515f,
+    0.565731811f, -0.824589303f,
+    0.560661576f, -0.828045045f,
+    0.555570233f, -0.831469612f,
+    0.550457973f, -0.834862875f,
+    0.545324988f, -0.838224706f,
+    0.540171473f, -0.841554977f,
+    0.534997620f, -0.844853565f,
+    0.529803625f, -0.848120345f,
+    0.524589683f, -0.851355193f,
+    0.519355990f, -0.854557988f,
+    0.514102744f, -0.857728610f,
+    0.508830143f, -0.860866939f,
+    0.503538384f, -0.863972856f,
+    0.498227667f, -0.867046246f,
+    0.492898192f, -0.870086991f,
+    0.487550160f, -0.873094978f,
+    0.482183772f, -0.876070094f,
+    0.476799230f, -0.879012226f,
+    0.471396737f, -0.881921264f,
+    0.465976496f, -0.884797098f,
+    0.460538711f, -0.887639620f,
+    0.455083587f, -0.890448723f,
+    0.449611330f, -0.893224301f,
+    0.444122145f, -0.895966250f,
+    0.438616239f, -0.898674466f,
+    0.433093819f, -0.901348847f,
+    0.427555093f, -0.903989293f,
+    0.422000271f, -0.906595705f,
+    0.416429560f, -0.909167983f,
+    0.410843171f, -0.911706032f,
+    0.405241314f, -0.914209756f,
+    0.399624200f, -0.916679060f,
+    0.393992040f, -0.919113852f,
+    0.388345047f, -0.921514039f,
+    0.382683432f, -0.923879533f,
+    0.377007410f, -0.926210242f,
+    0.371317194f, -0.928506080f,
+    0.365612998f, -0.930766961f,
+    0.359895037f, -0.932992799f,
+    0.354163525f, -0.935183510f,
+    0.348418680f, -0.937339012f,
+    0.342660717f, -0.939459224f,
+    0.336889853f, -0.941544065f,
+    0.331106306f, -0.943593458f,
+    0.325310292f, -0.945607325f,
+    0.319502031f, -0.947585591f,
+    0.313681740f, -0.949528181f,
+    0.307849640f, -0.951435021f,
+    0.302005949f, -0.953306040f,
+    0.296150888f, -0.955141168f,
+    0.290284677f, -0.956940336f,
+    0.284407537f, -0.958703475f,
+    0.278519689f, -0.960430519f,
+    0.272621355f, -0.962121404f,
+    0.266712757f, -0.963776066f,
+    0.260794118f, -0.965394442f,
+    0.254865660f, -0.966976471f,
+    0.248927606f, -0.968522094f,
+    0.242980180f, -0.970031253f,
+    0.237023606f, -0.971503891f,
+    0.231058108f, -0.972939952f,
+    0.225083911f, -0.974339383f,
+    0.219101240f, -0.975702130f,
+    0.213110320f, -0.977028143f,
+    0.207111376f, -0.978317371f,
+    0.201104635f, -0.979569766f,
+    0.195090322f, -0.980785280f,
+    0.189068664f, -0.981963869f,
+    0.183039888f, -0.983105487f,
+    0.177004220f, -0.984210092f,
+    0.170961889f, -0.985277642f,
+    0.164913120f, -0.986308097f,
+    0.158858143f, -0.987301418f,
+    0.152797185f, -0.988257568f,
+    0.146730474f, -0.989176510f,
+    0.140658239f, -0.990058210f,
+    0.134580709f, -0.990902635f,
+    0.128498111f, -0.991709754f,
+    0.122410675f, -0.992479535f,
+    0.116318631f, -0.993211949f,
+    0.110222207f, -0.993906970f,
+    0.104121634f, -0.994564571f,
+    0.098017140f, -0.995184727f,
+    0.091908956f, -0.995767414f,
+    0.085797312f, -0.996312612f,
+    0.079682438f, -0.996820299f,
+    0.073564564f, -0.997290457f,
+    0.067443920f, -0.997723067f,
+    0.061320736f, -0.998118113f,
+    0.055195244f, -0.998475581f,
+    0.049067674f, -0.998795456f,
+    0.042938257f, -0.999077728f,
+    0.036807223f, -0.999322385f,
+    0.030674803f, -0.999529418f,
+    0.024541229f, -0.999698819f,
+    0.018406730f, -0.999830582f,
+    0.012271538f, -0.999924702f,
+    0.006135885f, -0.999981175f
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048)
+const float32_t twiddleCoef_rfft_2048[2048] = {
+    0.000000000f,  1.000000000f,
+    0.003067957f,  0.999995294f,
+    0.006135885f,  0.999981175f,
+    0.009203755f,  0.999957645f,
+    0.012271538f,  0.999924702f,
+    0.015339206f,  0.999882347f,
+    0.018406730f,  0.999830582f,
+    0.021474080f,  0.999769405f,
+    0.024541229f,  0.999698819f,
+    0.027608146f,  0.999618822f,
+    0.030674803f,  0.999529418f,
+    0.033741172f,  0.999430605f,
+    0.036807223f,  0.999322385f,
+    0.039872928f,  0.999204759f,
+    0.042938257f,  0.999077728f,
+    0.046003182f,  0.998941293f,
+    0.049067674f,  0.998795456f,
+    0.052131705f,  0.998640218f,
+    0.055195244f,  0.998475581f,
+    0.058258265f,  0.998301545f,
+    0.061320736f,  0.998118113f,
+    0.064382631f,  0.997925286f,
+    0.067443920f,  0.997723067f,
+    0.070504573f,  0.997511456f,
+    0.073564564f,  0.997290457f,
+    0.076623861f,  0.997060070f,
+    0.079682438f,  0.996820299f,
+    0.082740265f,  0.996571146f,
+    0.085797312f,  0.996312612f,
+    0.088853553f,  0.996044701f,
+    0.091908956f,  0.995767414f,
+    0.094963495f,  0.995480755f,
+    0.098017140f,  0.995184727f,
+    0.101069863f,  0.994879331f,
+    0.104121634f,  0.994564571f,
+    0.107172425f,  0.994240449f,
+    0.110222207f,  0.993906970f,
+    0.113270952f,  0.993564136f,
+    0.116318631f,  0.993211949f,
+    0.119365215f,  0.992850414f,
+    0.122410675f,  0.992479535f,
+    0.125454983f,  0.992099313f,
+    0.128498111f,  0.991709754f,
+    0.131540029f,  0.991310860f,
+    0.134580709f,  0.990902635f,
+    0.137620122f,  0.990485084f,
+    0.140658239f,  0.990058210f,
+    0.143695033f,  0.989622017f,
+    0.146730474f,  0.989176510f,
+    0.149764535f,  0.988721692f,
+    0.152797185f,  0.988257568f,
+    0.155828398f,  0.987784142f,
+    0.158858143f,  0.987301418f,
+    0.161886394f,  0.986809402f,
+    0.164913120f,  0.986308097f,
+    0.167938295f,  0.985797509f,
+    0.170961889f,  0.985277642f,
+    0.173983873f,  0.984748502f,
+    0.177004220f,  0.984210092f,
+    0.180022901f,  0.983662419f,
+    0.183039888f,  0.983105487f,
+    0.186055152f,  0.982539302f,
+    0.189068664f,  0.981963869f,
+    0.192080397f,  0.981379193f,
+    0.195090322f,  0.980785280f,
+    0.198098411f,  0.980182136f,
+    0.201104635f,  0.979569766f,
+    0.204108966f,  0.978948175f,
+    0.207111376f,  0.978317371f,
+    0.210111837f,  0.977677358f,
+    0.213110320f,  0.977028143f,
+    0.216106797f,  0.976369731f,
+    0.219101240f,  0.975702130f,
+    0.222093621f,  0.975025345f,
+    0.225083911f,  0.974339383f,
+    0.228072083f,  0.973644250f,
+    0.231058108f,  0.972939952f,
+    0.234041959f,  0.972226497f,
+    0.237023606f,  0.971503891f,
+    0.240003022f,  0.970772141f,
+    0.242980180f,  0.970031253f,
+    0.245955050f,  0.969281235f,
+    0.248927606f,  0.968522094f,
+    0.251897818f,  0.967753837f,
+    0.254865660f,  0.966976471f,
+    0.257831102f,  0.966190003f,
+    0.260794118f,  0.965394442f,
+    0.263754679f,  0.964589793f,
+    0.266712757f,  0.963776066f,
+    0.269668326f,  0.962953267f,
+    0.272621355f,  0.962121404f,
+    0.275571819f,  0.961280486f,
+    0.278519689f,  0.960430519f,
+    0.281464938f,  0.959571513f,
+    0.284407537f,  0.958703475f,
+    0.287347460f,  0.957826413f,
+    0.290284677f,  0.956940336f,
+    0.293219163f,  0.956045251f,
+    0.296150888f,  0.955141168f,
+    0.299079826f,  0.954228095f,
+    0.302005949f,  0.953306040f,
+    0.304929230f,  0.952375013f,
+    0.307849640f,  0.951435021f,
+    0.310767153f,  0.950486074f,
+    0.313681740f,  0.949528181f,
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+    0.396809987f, -0.917900776f,
+    0.393992040f, -0.919113852f,
+    0.391170384f, -0.920318277f,
+    0.388345047f, -0.921514039f,
+    0.385516054f, -0.922701128f,
+    0.382683432f, -0.923879533f,
+    0.379847209f, -0.925049241f,
+    0.377007410f, -0.926210242f,
+    0.374164063f, -0.927362526f,
+    0.371317194f, -0.928506080f,
+    0.368466830f, -0.929640896f,
+    0.365612998f, -0.930766961f,
+    0.362755724f, -0.931884266f,
+    0.359895037f, -0.932992799f,
+    0.357030961f, -0.934092550f,
+    0.354163525f, -0.935183510f,
+    0.351292756f, -0.936265667f,
+    0.348418680f, -0.937339012f,
+    0.345541325f, -0.938403534f,
+    0.342660717f, -0.939459224f,
+    0.339776884f, -0.940506071f,
+    0.336889853f, -0.941544065f,
+    0.333999651f, -0.942573198f,
+    0.331106306f, -0.943593458f,
+    0.328209844f, -0.944604837f,
+    0.325310292f, -0.945607325f,
+    0.322407679f, -0.946600913f,
+    0.319502031f, -0.947585591f,
+    0.316593376f, -0.948561350f,
+    0.313681740f, -0.949528181f,
+    0.310767153f, -0.950486074f,
+    0.307849640f, -0.951435021f,
+    0.304929230f, -0.952375013f,
+    0.302005949f, -0.953306040f,
+    0.299079826f, -0.954228095f,
+    0.296150888f, -0.955141168f,
+    0.293219163f, -0.956045251f,
+    0.290284677f, -0.956940336f,
+    0.287347460f, -0.957826413f,
+    0.284407537f, -0.958703475f,
+    0.281464938f, -0.959571513f,
+    0.278519689f, -0.960430519f,
+    0.275571819f, -0.961280486f,
+    0.272621355f, -0.962121404f,
+    0.269668326f, -0.962953267f,
+    0.266712757f, -0.963776066f,
+    0.263754679f, -0.964589793f,
+    0.260794118f, -0.965394442f,
+    0.257831102f, -0.966190003f,
+    0.254865660f, -0.966976471f,
+    0.251897818f, -0.967753837f,
+    0.248927606f, -0.968522094f,
+    0.245955050f, -0.969281235f,
+    0.242980180f, -0.970031253f,
+    0.240003022f, -0.970772141f,
+    0.237023606f, -0.971503891f,
+    0.234041959f, -0.972226497f,
+    0.231058108f, -0.972939952f,
+    0.228072083f, -0.973644250f,
+    0.225083911f, -0.974339383f,
+    0.222093621f, -0.975025345f,
+    0.219101240f, -0.975702130f,
+    0.216106797f, -0.976369731f,
+    0.213110320f, -0.977028143f,
+    0.210111837f, -0.977677358f,
+    0.207111376f, -0.978317371f,
+    0.204108966f, -0.978948175f,
+    0.201104635f, -0.979569766f,
+    0.198098411f, -0.980182136f,
+    0.195090322f, -0.980785280f,
+    0.192080397f, -0.981379193f,
+    0.189068664f, -0.981963869f,
+    0.186055152f, -0.982539302f,
+    0.183039888f, -0.983105487f,
+    0.180022901f, -0.983662419f,
+    0.177004220f, -0.984210092f,
+    0.173983873f, -0.984748502f,
+    0.170961889f, -0.985277642f,
+    0.167938295f, -0.985797509f,
+    0.164913120f, -0.986308097f,
+    0.161886394f, -0.986809402f,
+    0.158858143f, -0.987301418f,
+    0.155828398f, -0.987784142f,
+    0.152797185f, -0.988257568f,
+    0.149764535f, -0.988721692f,
+    0.146730474f, -0.989176510f,
+    0.143695033f, -0.989622017f,
+    0.140658239f, -0.990058210f,
+    0.137620122f, -0.990485084f,
+    0.134580709f, -0.990902635f,
+    0.131540029f, -0.991310860f,
+    0.128498111f, -0.991709754f,
+    0.125454983f, -0.992099313f,
+    0.122410675f, -0.992479535f,
+    0.119365215f, -0.992850414f,
+    0.116318631f, -0.993211949f,
+    0.113270952f, -0.993564136f,
+    0.110222207f, -0.993906970f,
+    0.107172425f, -0.994240449f,
+    0.104121634f, -0.994564571f,
+    0.101069863f, -0.994879331f,
+    0.098017140f, -0.995184727f,
+    0.094963495f, -0.995480755f,
+    0.091908956f, -0.995767414f,
+    0.088853553f, -0.996044701f,
+    0.085797312f, -0.996312612f,
+    0.082740265f, -0.996571146f,
+    0.079682438f, -0.996820299f,
+    0.076623861f, -0.997060070f,
+    0.073564564f, -0.997290457f,
+    0.070504573f, -0.997511456f,
+    0.067443920f, -0.997723067f,
+    0.064382631f, -0.997925286f,
+    0.061320736f, -0.998118113f,
+    0.058258265f, -0.998301545f,
+    0.055195244f, -0.998475581f,
+    0.052131705f, -0.998640218f,
+    0.049067674f, -0.998795456f,
+    0.046003182f, -0.998941293f,
+    0.042938257f, -0.999077728f,
+    0.039872928f, -0.999204759f,
+    0.036807223f, -0.999322385f,
+    0.033741172f, -0.999430605f,
+    0.030674803f, -0.999529418f,
+    0.027608146f, -0.999618822f,
+    0.024541229f, -0.999698819f,
+    0.021474080f, -0.999769405f,
+    0.018406730f, -0.999830582f,
+    0.015339206f, -0.999882347f,
+    0.012271538f, -0.999924702f,
+    0.009203755f, -0.999957645f,
+    0.006135885f, -0.999981175f,
+    0.003067957f, -0.999995294f
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096)
+const float32_t twiddleCoef_rfft_4096[4096] = {
+    0.000000000f,  1.000000000f,
+    0.001533980f,  0.999998823f,
+    0.003067957f,  0.999995294f,
+    0.004601926f,  0.999989411f,
+    0.006135885f,  0.999981175f,
+    0.007669829f,  0.999970586f,
+    0.009203755f,  0.999957645f,
+    0.010737659f,  0.999942350f,
+    0.012271538f,  0.999924702f,
+    0.013805389f,  0.999904701f,
+    0.015339206f,  0.999882347f,
+    0.016872988f,  0.999857641f,
+    0.018406730f,  0.999830582f,
+    0.019940429f,  0.999801170f,
+    0.021474080f,  0.999769405f,
+    0.023007681f,  0.999735288f,
+    0.024541229f,  0.999698819f,
+    0.026074718f,  0.999659997f,
+    0.027608146f,  0.999618822f,
+    0.029141509f,  0.999575296f,
+    0.030674803f,  0.999529418f,
+    0.032208025f,  0.999481187f,
+    0.033741172f,  0.999430605f,
+    0.035274239f,  0.999377670f,
+    0.036807223f,  0.999322385f,
+    0.038340120f,  0.999264747f,
+    0.039872928f,  0.999204759f,
+    0.041405641f,  0.999142419f,
+    0.042938257f,  0.999077728f,
+    0.044470772f,  0.999010686f,
+    0.046003182f,  0.998941293f,
+    0.047535484f,  0.998869550f,
+    0.049067674f,  0.998795456f,
+    0.050599749f,  0.998719012f,
+    0.052131705f,  0.998640218f,
+    0.053663538f,  0.998559074f,
+    0.055195244f,  0.998475581f,
+    0.056726821f,  0.998389737f,
+    0.058258265f,  0.998301545f,
+    0.059789571f,  0.998211003f,
+    0.061320736f,  0.998118113f,
+    0.062851758f,  0.998022874f,
+    0.064382631f,  0.997925286f,
+    0.065913353f,  0.997825350f,
+    0.067443920f,  0.997723067f,
+    0.068974328f,  0.997618435f,
+    0.070504573f,  0.997511456f,
+    0.072034653f,  0.997402130f,
+    0.073564564f,  0.997290457f,
+    0.075094301f,  0.997176437f,
+    0.076623861f,  0.997060070f,
+    0.078153242f,  0.996941358f,
+    0.079682438f,  0.996820299f,
+    0.081211447f,  0.996696895f,
+    0.082740265f,  0.996571146f,
+    0.084268888f,  0.996443051f,
+    0.085797312f,  0.996312612f,
+    0.087325535f,  0.996179829f,
+    0.088853553f,  0.996044701f,
+    0.090381361f,  0.995907229f,
+    0.091908956f,  0.995767414f,
+    0.093436336f,  0.995625256f,
+    0.094963495f,  0.995480755f,
+    0.096490431f,  0.995333912f,
+    0.098017140f,  0.995184727f,
+    0.099543619f,  0.995033199f,
+    0.101069863f,  0.994879331f,
+    0.102595869f,  0.994723121f,
+    0.104121634f,  0.994564571f,
+    0.105647154f,  0.994403680f,
+    0.107172425f,  0.994240449f,
+    0.108697444f,  0.994074879f,
+    0.110222207f,  0.993906970f,
+    0.111746711f,  0.993736722f,
+    0.113270952f,  0.993564136f,
+    0.114794927f,  0.993389211f,
+    0.116318631f,  0.993211949f,
+    0.117842062f,  0.993032350f,
+    0.119365215f,  0.992850414f,
+    0.120888087f,  0.992666142f,
+    0.122410675f,  0.992479535f,
+    0.123932975f,  0.992290591f,
+    0.125454983f,  0.992099313f,
+    0.126976696f,  0.991905700f,
+    0.128498111f,  0.991709754f,
+    0.130019223f,  0.991511473f,
+    0.131540029f,  0.991310860f,
+    0.133060525f,  0.991107914f,
+    0.134580709f,  0.990902635f,
+    0.136100575f,  0.990695025f,
+    0.137620122f,  0.990485084f,
+    0.139139344f,  0.990272812f,
+    0.140658239f,  0.990058210f,
+    0.142176804f,  0.989841278f,
+    0.143695033f,  0.989622017f,
+    0.145212925f,  0.989400428f,
+    0.146730474f,  0.989176510f,
+    0.148247679f,  0.988950265f,
+    0.149764535f,  0.988721692f,
+    0.151281038f,  0.988490793f,
+    0.152797185f,  0.988257568f,
+    0.154312973f,  0.988022017f,
+    0.155828398f,  0.987784142f,
+    0.157343456f,  0.987543942f,
+    0.158858143f,  0.987301418f,
+    0.160372457f,  0.987056571f,
+    0.161886394f,  0.986809402f,
+    0.163399949f,  0.986559910f,
+    0.164913120f,  0.986308097f,
+    0.166425904f,  0.986053963f,
+    0.167938295f,  0.985797509f,
+    0.169450291f,  0.985538735f,
+    0.170961889f,  0.985277642f,
+    0.172473084f,  0.985014231f,
+    0.173983873f,  0.984748502f,
+    0.175494253f,  0.984480455f,
+    0.177004220f,  0.984210092f,
+    0.178513771f,  0.983937413f,
+    0.180022901f,  0.983662419f,
+    0.181531608f,  0.983385110f,
+    0.183039888f,  0.983105487f,
+    0.184547737f,  0.982823551f,
+    0.186055152f,  0.982539302f,
+    0.187562129f,  0.982252741f,
+    0.189068664f,  0.981963869f,
+    0.190574755f,  0.981672686f,
+    0.192080397f,  0.981379193f,
+    0.193585587f,  0.981083391f,
+    0.195090322f,  0.980785280f,
+    0.196594598f,  0.980484862f,
+    0.198098411f,  0.980182136f,
+    0.199601758f,  0.979877104f,
+    0.201104635f,  0.979569766f,
+    0.202607039f,  0.979260123f,
+    0.204108966f,  0.978948175f,
+    0.205610413f,  0.978633924f,
+    0.207111376f,  0.978317371f,
+    0.208611852f,  0.977998515f,
+    0.210111837f,  0.977677358f,
+    0.211611327f,  0.977353900f,
+    0.213110320f,  0.977028143f,
+    0.214608811f,  0.976700086f,
+    0.216106797f,  0.976369731f,
+    0.217604275f,  0.976037079f,
+    0.219101240f,  0.975702130f,
+    0.220597690f,  0.975364885f,
+    0.222093621f,  0.975025345f,
+    0.223589029f,  0.974683511f,
+    0.225083911f,  0.974339383f,
+    0.226578264f,  0.973992962f,
+    0.228072083f,  0.973644250f,
+    0.229565366f,  0.973293246f,
+    0.231058108f,  0.972939952f,
+    0.232550307f,  0.972584369f,
+    0.234041959f,  0.972226497f,
+    0.235533059f,  0.971866337f,
+    0.237023606f,  0.971503891f,
+    0.238513595f,  0.971139158f,
+    0.240003022f,  0.970772141f,
+    0.241491885f,  0.970402839f,
+    0.242980180f,  0.970031253f,
+    0.244467903f,  0.969657385f,
+    0.245955050f,  0.969281235f,
+    0.247441619f,  0.968902805f,
+    0.248927606f,  0.968522094f,
+    0.250413007f,  0.968139105f,
+    0.251897818f,  0.967753837f,
+    0.253382037f,  0.967366292f,
+    0.254865660f,  0.966976471f,
+    0.256348682f,  0.966584374f,
+    0.257831102f,  0.966190003f,
+    0.259312915f,  0.965793359f,
+    0.260794118f,  0.965394442f,
+    0.262274707f,  0.964993253f,
+    0.263754679f,  0.964589793f,
+    0.265234030f,  0.964184064f,
+    0.266712757f,  0.963776066f,
+    0.268190857f,  0.963365800f,
+    0.269668326f,  0.962953267f,
+    0.271145160f,  0.962538468f,
+    0.272621355f,  0.962121404f,
+    0.274096910f,  0.961702077f,
+    0.275571819f,  0.961280486f,
+    0.277046080f,  0.960856633f,
+    0.278519689f,  0.960430519f,
+    0.279992643f,  0.960002146f,
+    0.281464938f,  0.959571513f,
+    0.282936570f,  0.959138622f,
+    0.284407537f,  0.958703475f,
+    0.285877835f,  0.958266071f,
+    0.287347460f,  0.957826413f,
+    0.288816408f,  0.957384501f,
+    0.290284677f,  0.956940336f,
+    0.291752263f,  0.956493919f,
+    0.293219163f,  0.956045251f,
+    0.294685372f,  0.955594334f,
+    0.296150888f,  0.955141168f,
+    0.297615707f,  0.954685755f,
+    0.299079826f,  0.954228095f,
+    0.300543241f,  0.953768190f,
+    0.302005949f,  0.953306040f,
+    0.303467947f,  0.952841648f,
+    0.304929230f,  0.952375013f,
+    0.306389795f,  0.951906137f,
+    0.307849640f,  0.951435021f,
+    0.309308760f,  0.950961666f,
+    0.310767153f,  0.950486074f,
+    0.312224814f,  0.950008245f,
+    0.313681740f,  0.949528181f,
+    0.315137929f,  0.949045882f,
+    0.316593376f,  0.948561350f,
+    0.318048077f,  0.948074586f,
+    0.319502031f,  0.947585591f,
+    0.320955232f,  0.947094366f,
+    0.322407679f,  0.946600913f,
+    0.323859367f,  0.946105232f,
+    0.325310292f,  0.945607325f,
+    0.326760452f,  0.945107193f,
+    0.328209844f,  0.944604837f,
+    0.329658463f,  0.944100258f,
+    0.331106306f,  0.943593458f,
+    0.332553370f,  0.943084437f,
+    0.333999651f,  0.942573198f,
+    0.335445147f,  0.942059740f,
+    0.336889853f,  0.941544065f,
+    0.338333767f,  0.941026175f,
+    0.339776884f,  0.940506071f,
+    0.341219202f,  0.939983753f,
+    0.342660717f,  0.939459224f,
+    0.344101426f,  0.938932484f,
+    0.345541325f,  0.938403534f,
+    0.346980411f,  0.937872376f,
+    0.348418680f,  0.937339012f,
+    0.349856130f,  0.936803442f,
+    0.351292756f,  0.936265667f,
+    0.352728556f,  0.935725689f,
+    0.354163525f,  0.935183510f,
+    0.355597662f,  0.934639130f,
+    0.357030961f,  0.934092550f,
+    0.358463421f,  0.933543773f,
+    0.359895037f,  0.932992799f,
+    0.361325806f,  0.932439629f,
+    0.362755724f,  0.931884266f,
+    0.364184790f,  0.931326709f,
+    0.365612998f,  0.930766961f,
+    0.367040346f,  0.930205023f,
+    0.368466830f,  0.929640896f,
+    0.369892447f,  0.929074581f,
+    0.371317194f,  0.928506080f,
+    0.372741067f,  0.927935395f,
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+    0.344101426f, -0.938932484f,
+    0.342660717f, -0.939459224f,
+    0.341219202f, -0.939983753f,
+    0.339776884f, -0.940506071f,
+    0.338333767f, -0.941026175f,
+    0.336889853f, -0.941544065f,
+    0.335445147f, -0.942059740f,
+    0.333999651f, -0.942573198f,
+    0.332553370f, -0.943084437f,
+    0.331106306f, -0.943593458f,
+    0.329658463f, -0.944100258f,
+    0.328209844f, -0.944604837f,
+    0.326760452f, -0.945107193f,
+    0.325310292f, -0.945607325f,
+    0.323859367f, -0.946105232f,
+    0.322407679f, -0.946600913f,
+    0.320955232f, -0.947094366f,
+    0.319502031f, -0.947585591f,
+    0.318048077f, -0.948074586f,
+    0.316593376f, -0.948561350f,
+    0.315137929f, -0.949045882f,
+    0.313681740f, -0.949528181f,
+    0.312224814f, -0.950008245f,
+    0.310767153f, -0.950486074f,
+    0.309308760f, -0.950961666f,
+    0.307849640f, -0.951435021f,
+    0.306389795f, -0.951906137f,
+    0.304929230f, -0.952375013f,
+    0.303467947f, -0.952841648f,
+    0.302005949f, -0.953306040f,
+    0.300543241f, -0.953768190f,
+    0.299079826f, -0.954228095f,
+    0.297615707f, -0.954685755f,
+    0.296150888f, -0.955141168f,
+    0.294685372f, -0.955594334f,
+    0.293219163f, -0.956045251f,
+    0.291752263f, -0.956493919f,
+    0.290284677f, -0.956940336f,
+    0.288816408f, -0.957384501f,
+    0.287347460f, -0.957826413f,
+    0.285877835f, -0.958266071f,
+    0.284407537f, -0.958703475f,
+    0.282936570f, -0.959138622f,
+    0.281464938f, -0.959571513f,
+    0.279992643f, -0.960002146f,
+    0.278519689f, -0.960430519f,
+    0.277046080f, -0.960856633f,
+    0.275571819f, -0.961280486f,
+    0.274096910f, -0.961702077f,
+    0.272621355f, -0.962121404f,
+    0.271145160f, -0.962538468f,
+    0.269668326f, -0.962953267f,
+    0.268190857f, -0.963365800f,
+    0.266712757f, -0.963776066f,
+    0.265234030f, -0.964184064f,
+    0.263754679f, -0.964589793f,
+    0.262274707f, -0.964993253f,
+    0.260794118f, -0.965394442f,
+    0.259312915f, -0.965793359f,
+    0.257831102f, -0.966190003f,
+    0.256348682f, -0.966584374f,
+    0.254865660f, -0.966976471f,
+    0.253382037f, -0.967366292f,
+    0.251897818f, -0.967753837f,
+    0.250413007f, -0.968139105f,
+    0.248927606f, -0.968522094f,
+    0.247441619f, -0.968902805f,
+    0.245955050f, -0.969281235f,
+    0.244467903f, -0.969657385f,
+    0.242980180f, -0.970031253f,
+    0.241491885f, -0.970402839f,
+    0.240003022f, -0.970772141f,
+    0.238513595f, -0.971139158f,
+    0.237023606f, -0.971503891f,
+    0.235533059f, -0.971866337f,
+    0.234041959f, -0.972226497f,
+    0.232550307f, -0.972584369f,
+    0.231058108f, -0.972939952f,
+    0.229565366f, -0.973293246f,
+    0.228072083f, -0.973644250f,
+    0.226578264f, -0.973992962f,
+    0.225083911f, -0.974339383f,
+    0.223589029f, -0.974683511f,
+    0.222093621f, -0.975025345f,
+    0.220597690f, -0.975364885f,
+    0.219101240f, -0.975702130f,
+    0.217604275f, -0.976037079f,
+    0.216106797f, -0.976369731f,
+    0.214608811f, -0.976700086f,
+    0.213110320f, -0.977028143f,
+    0.211611327f, -0.977353900f,
+    0.210111837f, -0.977677358f,
+    0.208611852f, -0.977998515f,
+    0.207111376f, -0.978317371f,
+    0.205610413f, -0.978633924f,
+    0.204108966f, -0.978948175f,
+    0.202607039f, -0.979260123f,
+    0.201104635f, -0.979569766f,
+    0.199601758f, -0.979877104f,
+    0.198098411f, -0.980182136f,
+    0.196594598f, -0.980484862f,
+    0.195090322f, -0.980785280f,
+    0.193585587f, -0.981083391f,
+    0.192080397f, -0.981379193f,
+    0.190574755f, -0.981672686f,
+    0.189068664f, -0.981963869f,
+    0.187562129f, -0.982252741f,
+    0.186055152f, -0.982539302f,
+    0.184547737f, -0.982823551f,
+    0.183039888f, -0.983105487f,
+    0.181531608f, -0.983385110f,
+    0.180022901f, -0.983662419f,
+    0.178513771f, -0.983937413f,
+    0.177004220f, -0.984210092f,
+    0.175494253f, -0.984480455f,
+    0.173983873f, -0.984748502f,
+    0.172473084f, -0.985014231f,
+    0.170961889f, -0.985277642f,
+    0.169450291f, -0.985538735f,
+    0.167938295f, -0.985797509f,
+    0.166425904f, -0.986053963f,
+    0.164913120f, -0.986308097f,
+    0.163399949f, -0.986559910f,
+    0.161886394f, -0.986809402f,
+    0.160372457f, -0.987056571f,
+    0.158858143f, -0.987301418f,
+    0.157343456f, -0.987543942f,
+    0.155828398f, -0.987784142f,
+    0.154312973f, -0.988022017f,
+    0.152797185f, -0.988257568f,
+    0.151281038f, -0.988490793f,
+    0.149764535f, -0.988721692f,
+    0.148247679f, -0.988950265f,
+    0.146730474f, -0.989176510f,
+    0.145212925f, -0.989400428f,
+    0.143695033f, -0.989622017f,
+    0.142176804f, -0.989841278f,
+    0.140658239f, -0.990058210f,
+    0.139139344f, -0.990272812f,
+    0.137620122f, -0.990485084f,
+    0.136100575f, -0.990695025f,
+    0.134580709f, -0.990902635f,
+    0.133060525f, -0.991107914f,
+    0.131540029f, -0.991310860f,
+    0.130019223f, -0.991511473f,
+    0.128498111f, -0.991709754f,
+    0.126976696f, -0.991905700f,
+    0.125454983f, -0.992099313f,
+    0.123932975f, -0.992290591f,
+    0.122410675f, -0.992479535f,
+    0.120888087f, -0.992666142f,
+    0.119365215f, -0.992850414f,
+    0.117842062f, -0.993032350f,
+    0.116318631f, -0.993211949f,
+    0.114794927f, -0.993389211f,
+    0.113270952f, -0.993564136f,
+    0.111746711f, -0.993736722f,
+    0.110222207f, -0.993906970f,
+    0.108697444f, -0.994074879f,
+    0.107172425f, -0.994240449f,
+    0.105647154f, -0.994403680f,
+    0.104121634f, -0.994564571f,
+    0.102595869f, -0.994723121f,
+    0.101069863f, -0.994879331f,
+    0.099543619f, -0.995033199f,
+    0.098017140f, -0.995184727f,
+    0.096490431f, -0.995333912f,
+    0.094963495f, -0.995480755f,
+    0.093436336f, -0.995625256f,
+    0.091908956f, -0.995767414f,
+    0.090381361f, -0.995907229f,
+    0.088853553f, -0.996044701f,
+    0.087325535f, -0.996179829f,
+    0.085797312f, -0.996312612f,
+    0.084268888f, -0.996443051f,
+    0.082740265f, -0.996571146f,
+    0.081211447f, -0.996696895f,
+    0.079682438f, -0.996820299f,
+    0.078153242f, -0.996941358f,
+    0.076623861f, -0.997060070f,
+    0.075094301f, -0.997176437f,
+    0.073564564f, -0.997290457f,
+    0.072034653f, -0.997402130f,
+    0.070504573f, -0.997511456f,
+    0.068974328f, -0.997618435f,
+    0.067443920f, -0.997723067f,
+    0.065913353f, -0.997825350f,
+    0.064382631f, -0.997925286f,
+    0.062851758f, -0.998022874f,
+    0.061320736f, -0.998118113f,
+    0.059789571f, -0.998211003f,
+    0.058258265f, -0.998301545f,
+    0.056726821f, -0.998389737f,
+    0.055195244f, -0.998475581f,
+    0.053663538f, -0.998559074f,
+    0.052131705f, -0.998640218f,
+    0.050599749f, -0.998719012f,
+    0.049067674f, -0.998795456f,
+    0.047535484f, -0.998869550f,
+    0.046003182f, -0.998941293f,
+    0.044470772f, -0.999010686f,
+    0.042938257f, -0.999077728f,
+    0.041405641f, -0.999142419f,
+    0.039872928f, -0.999204759f,
+    0.038340120f, -0.999264747f,
+    0.036807223f, -0.999322385f,
+    0.035274239f, -0.999377670f,
+    0.033741172f, -0.999430605f,
+    0.032208025f, -0.999481187f,
+    0.030674803f, -0.999529418f,
+    0.029141509f, -0.999575296f,
+    0.027608146f, -0.999618822f,
+    0.026074718f, -0.999659997f,
+    0.024541229f, -0.999698819f,
+    0.023007681f, -0.999735288f,
+    0.021474080f, -0.999769405f,
+    0.019940429f, -0.999801170f,
+    0.018406730f, -0.999830582f,
+    0.016872988f, -0.999857641f,
+    0.015339206f, -0.999882347f,
+    0.013805389f, -0.999904701f,
+    0.012271538f, -0.999924702f,
+    0.010737659f, -0.999942350f,
+    0.009203755f, -0.999957645f,
+    0.007669829f, -0.999970586f,
+    0.006135885f, -0.999981175f,
+    0.004601926f, -0.999989411f,
+    0.003067957f, -0.999995294f,
+    0.001533980f, -0.999998823f
+};
+
+#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALL_TABLES) */
+
+/**
+  @ingroup RealFFT
+ */
+
+/**
+  @addtogroup RealFFT_Table Real FFT Tables
+  @{
+ */
+
+/**
+  @par
+  Generation of realCoefA array:
+  @par
+  n = 4096
+  <pre>for (i = 0; i < n; i++)
+  {
+     pATable[2 * i]     = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+     pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }</pre>
+ */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_F32)
+const float32_t realCoefA[8192] = {
+  0.500000000000000f, -0.500000000000000f, 0.499616503715515f, -0.499999850988388f,
+  0.499233007431030f, -0.499999403953552f, 0.498849511146545f, -0.499998688697815f,
+  0.498466014862061f, -0.499997645616531f, 0.498082518577576f, -0.499996334314346f,
+  0.497699022293091f, -0.499994695186615f, 0.497315555810928f, -0.499992787837982f,
+  0.496932059526443f, -0.499990582466125f, 0.496548563241959f, -0.499988079071045f,
+  0.496165096759796f, -0.499985307455063f, 0.495781600475311f, -0.499982208013535f,
+  0.495398133993149f, -0.499978810548782f, 0.495014637708664f, -0.499975144863129f,
+  0.494631171226501f, -0.499971181154251f, 0.494247704744339f, -0.499966919422150f,
+  0.493864238262177f, -0.499962359666824f, 0.493480771780014f, -0.499957501888275f,
+  0.493097305297852f, -0.499952346086502f, 0.492713838815689f, -0.499946922063828f,
+  0.492330402135849f, -0.499941170215607f, 0.491946935653687f, -0.499935150146484f,
+  0.491563498973846f, -0.499928832054138f, 0.491180062294006f, -0.499922215938568f,
+  0.490796625614166f, -0.499915301799774f, 0.490413218736649f, -0.499908089637756f,
+  0.490029782056808f, -0.499900579452515f, 0.489646375179291f, -0.499892801046371f,
+  0.489262968301773f, -0.499884694814682f, 0.488879561424255f, -0.499876320362091f,
+  0.488496154546738f, -0.499867647886276f, 0.488112777471542f, -0.499858677387238f,
+  0.487729400396347f, -0.499849408864975f, 0.487346023321152f, -0.499839842319489f,
+  0.486962646245956f, -0.499830007553101f, 0.486579269170761f, -0.499819844961166f,
+  0.486195921897888f, -0.499809414148331f, 0.485812574625015f, -0.499798685312271f,
+  0.485429257154465f, -0.499787658452988f, 0.485045909881592f, -0.499776333570480f,
+  0.484662592411041f, -0.499764710664749f, 0.484279274940491f, -0.499752789735794f,
+  0.483895987272263f, -0.499740600585938f, 0.483512699604034f, -0.499728083610535f,
+  0.483129411935806f, -0.499715298414230f, 0.482746154069901f, -0.499702215194702f,
+  0.482362866401672f, -0.499688833951950f, 0.481979638338089f, -0.499675154685974f,
+  0.481596380472183f, -0.499661177396774f, 0.481213152408600f, -0.499646931886673f,
+  0.480829954147339f, -0.499632388353348f, 0.480446726083755f, -0.499617516994476f,
+  0.480063527822495f, -0.499602377414703f, 0.479680359363556f, -0.499586939811707f,
+  0.479297190904617f, -0.499571204185486f, 0.478914022445679f, -0.499555170536041f,
+  0.478530883789063f, -0.499538868665695f, 0.478147745132446f, -0.499522238969803f,
+  0.477764606475830f, -0.499505341053009f, 0.477381497621536f, -0.499488145112991f,
+  0.476998418569565f, -0.499470651149750f, 0.476615339517593f, -0.499452859163284f,
+  0.476232260465622f, -0.499434769153595f, 0.475849211215973f, -0.499416410923004f,
+  0.475466161966324f, -0.499397724866867f, 0.475083142518997f, -0.499378770589828f,
+  0.474700123071671f, -0.499359518289566f, 0.474317133426666f, -0.499339967966080f,
+  0.473934143781662f, -0.499320119619370f, 0.473551183938980f, -0.499299973249435f,
+  0.473168224096298f, -0.499279528856277f, 0.472785294055939f, -0.499258816242218f,
+  0.472402364015579f, -0.499237775802612f, 0.472019463777542f, -0.499216467142105f,
+  0.471636593341827f, -0.499194860458374f, 0.471253722906113f, -0.499172955751419f,
+  0.470870882272720f, -0.499150782823563f, 0.470488041639328f, -0.499128282070160f,
+  0.470105201005936f, -0.499105513095856f, 0.469722419977188f, -0.499082416296005f,
+  0.469339638948441f, -0.499059051275253f, 0.468956857919693f, -0.499035388231277f,
+  0.468574106693268f, -0.499011427164078f, 0.468191385269165f, -0.498987197875977f,
+  0.467808693647385f, -0.498962640762329f, 0.467426002025604f, -0.498937815427780f,
+  0.467043310403824f, -0.498912662267685f, 0.466660678386688f, -0.498887240886688f,
+  0.466278046369553f, -0.498861521482468f, 0.465895414352417f, -0.498835533857346f,
+  0.465512841939926f, -0.498809218406677f, 0.465130269527435f, -0.498782604932785f,
+  0.464747726917267f, -0.498755723237991f, 0.464365184307098f, -0.498728543519974f,
+  0.463982671499252f, -0.498701065778732f, 0.463600188493729f, -0.498673290014267f,
+  0.463217705488205f, -0.498645216226578f, 0.462835282087326f, -0.498616874217987f,
+  0.462452858686447f, -0.498588204383850f, 0.462070435285568f, -0.498559266328812f,
+  0.461688071489334f, -0.498530030250549f, 0.461305707693100f, -0.498500496149063f,
+  0.460923373699188f, -0.498470664024353f, 0.460541069507599f, -0.498440563678741f,
+  0.460158795118332f, -0.498410135507584f, 0.459776520729065f, -0.498379439115524f,
+  0.459394276142120f, -0.498348444700241f, 0.459012061357498f, -0.498317152261734f,
+  0.458629876375198f, -0.498285561800003f, 0.458247691392899f, -0.498253703117371f,
+  0.457865566015244f, -0.498221516609192f, 0.457483440637589f, -0.498189061880112f,
+  0.457101345062256f, -0.498156309127808f, 0.456719279289246f, -0.498123258352280f,
+  0.456337243318558f, -0.498089909553528f, 0.455955207347870f, -0.498056292533875f,
+  0.455573230981827f, -0.498022347688675f, 0.455191254615784f, -0.497988134622574f,
+  0.454809308052063f, -0.497953623533249f, 0.454427421092987f, -0.497918814420700f,
+  0.454045534133911f, -0.497883707284927f, 0.453663676977158f, -0.497848302125931f,
+  0.453281819820404f, -0.497812628746033f, 0.452900022268295f, -0.497776657342911f,
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+  0.447176426649094f, 0.497201830148697f, 0.447557777166367f, 0.497242212295532f,
+  0.447939187288284f, 0.497282296419144f, 0.448320597410202f, 0.497322082519531f,
+  0.448702067136765f, 0.497361570596695f, 0.449083566665649f, 0.497400760650635f,
+  0.449465066194534f, 0.497439652681351f, 0.449846625328064f, 0.497478276491165f,
+  0.450228184461594f, 0.497516602277756f, 0.450609803199768f, 0.497554630041122f,
+  0.450991421937943f, 0.497592359781265f, 0.451373100280762f, 0.497629791498184f,
+  0.451754778623581f, 0.497666954994202f, 0.452136516571045f, 0.497703820466995f,
+  0.452518254518509f, 0.497740387916565f, 0.452900022268295f, 0.497776657342911f,
+  0.453281819820404f, 0.497812628746033f, 0.453663676977158f, 0.497848302125931f,
+  0.454045534133911f, 0.497883707284927f, 0.454427421092987f, 0.497918814420700f,
+  0.454809308052063f, 0.497953623533249f, 0.455191254615784f, 0.497988134622574f,
+  0.455573230981827f, 0.498022347688675f, 0.455955207347870f, 0.498056292533875f,
+  0.456337243318558f, 0.498089909553528f, 0.456719279289246f, 0.498123258352280f,
+  0.457101345062256f, 0.498156309127808f, 0.457483440637589f, 0.498189061880112f,
+  0.457865566015244f, 0.498221516609192f, 0.458247691392899f, 0.498253703117371f,
+  0.458629876375198f, 0.498285561800003f, 0.459012061357498f, 0.498317152261734f,
+  0.459394276142120f, 0.498348444700241f, 0.459776520729065f, 0.498379439115524f,
+  0.460158795118332f, 0.498410135507584f, 0.460541069507599f, 0.498440563678741f,
+  0.460923373699188f, 0.498470664024353f, 0.461305707693100f, 0.498500496149063f,
+  0.461688071489334f, 0.498530030250549f, 0.462070435285568f, 0.498559266328812f,
+  0.462452858686447f, 0.498588204383850f, 0.462835282087326f, 0.498616874217987f,
+  0.463217705488205f, 0.498645216226578f, 0.463600188493729f, 0.498673290014267f,
+  0.463982671499252f, 0.498701065778732f, 0.464365184307098f, 0.498728543519974f,
+  0.464747726917267f, 0.498755723237991f, 0.465130269527435f, 0.498782604932785f,
+  0.465512841939926f, 0.498809218406677f, 0.465895414352417f, 0.498835533857346f,
+  0.466278046369553f, 0.498861521482468f, 0.466660678386688f, 0.498887240886688f,
+  0.467043310403824f, 0.498912662267685f, 0.467426002025604f, 0.498937815427780f,
+  0.467808693647385f, 0.498962640762329f, 0.468191385269165f, 0.498987197875977f,
+  0.468574106693268f, 0.499011427164078f, 0.468956857919693f, 0.499035388231277f,
+  0.469339638948441f, 0.499059051275253f, 0.469722419977188f, 0.499082416296005f,
+  0.470105201005936f, 0.499105513095856f, 0.470488041639328f, 0.499128282070160f,
+  0.470870882272720f, 0.499150782823563f, 0.471253722906113f, 0.499172955751419f,
+  0.471636593341827f, 0.499194860458374f, 0.472019463777542f, 0.499216467142105f,
+  0.472402364015579f, 0.499237775802612f, 0.472785294055939f, 0.499258816242218f,
+  0.473168224096298f, 0.499279528856277f, 0.473551183938980f, 0.499299973249435f,
+  0.473934143781662f, 0.499320119619370f, 0.474317133426666f, 0.499339967966080f,
+  0.474700123071671f, 0.499359518289566f, 0.475083142518997f, 0.499378770589828f,
+  0.475466161966324f, 0.499397724866867f, 0.475849211215973f, 0.499416410923004f,
+  0.476232260465622f, 0.499434769153595f, 0.476615339517593f, 0.499452859163284f,
+  0.476998418569565f, 0.499470651149750f, 0.477381497621536f, 0.499488145112991f,
+  0.477764606475830f, 0.499505341053009f, 0.478147745132446f, 0.499522238969803f,
+  0.478530883789063f, 0.499538868665695f, 0.478914022445679f, 0.499555170536041f,
+  0.479297190904617f, 0.499571204185486f, 0.479680359363556f, 0.499586939811707f,
+  0.480063527822495f, 0.499602377414703f, 0.480446726083755f, 0.499617516994476f,
+  0.480829954147339f, 0.499632388353348f, 0.481213152408600f, 0.499646931886673f,
+  0.481596380472183f, 0.499661177396774f, 0.481979638338089f, 0.499675154685974f,
+  0.482362866401672f, 0.499688833951950f, 0.482746154069901f, 0.499702215194702f,
+  0.483129411935806f, 0.499715298414230f, 0.483512699604034f, 0.499728083610535f,
+  0.483895987272263f, 0.499740600585938f, 0.484279274940491f, 0.499752789735794f,
+  0.484662592411041f, 0.499764710664749f, 0.485045909881592f, 0.499776333570480f,
+  0.485429257154465f, 0.499787658452988f, 0.485812574625015f, 0.499798685312271f,
+  0.486195921897888f, 0.499809414148331f, 0.486579269170761f, 0.499819844961166f,
+  0.486962646245956f, 0.499830007553101f, 0.487346023321152f, 0.499839842319489f,
+  0.487729400396347f, 0.499849408864975f, 0.488112777471542f, 0.499858677387238f,
+  0.488496154546738f, 0.499867647886276f, 0.488879561424255f, 0.499876320362091f,
+  0.489262968301773f, 0.499884694814682f, 0.489646375179291f, 0.499892801046371f,
+  0.490029782056808f, 0.499900579452515f, 0.490413218736649f, 0.499908089637756f,
+  0.490796625614166f, 0.499915301799774f, 0.491180062294006f, 0.499922215938568f,
+  0.491563498973846f, 0.499928832054138f, 0.491946935653687f, 0.499935150146484f,
+  0.492330402135849f, 0.499941170215607f, 0.492713838815689f, 0.499946922063828f,
+  0.493097305297852f, 0.499952346086502f, 0.493480771780014f, 0.499957501888275f,
+  0.493864238262177f, 0.499962359666824f, 0.494247704744339f, 0.499966919422150f,
+  0.494631171226501f, 0.499971181154251f, 0.495014637708664f, 0.499975144863129f,
+  0.495398133993149f, 0.499978810548782f, 0.495781600475311f, 0.499982208013535f,
+  0.496165096759796f, 0.499985307455063f, 0.496548563241959f, 0.499988079071045f,
+  0.496932059526443f, 0.499990582466125f, 0.497315555810928f, 0.499992787837982f,
+  0.497699022293091f, 0.499994695186615f, 0.498082518577576f, 0.499996334314346f,
+  0.498466014862061f, 0.499997645616531f, 0.498849511146545f, 0.499998688697815f,
+  0.499233007431030f, 0.499999403953552f, 0.499616503715515f, 0.499999850988388f,
+};
+
+
+/**
+  @par
+  Generation of realCoefB array:
+  @par
+  n = 4096
+  <pre>for (i = 0; i < n; i++)
+  {
+     pBTable[2 * i]     = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+     pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }</pre>
+ */
+
+const float32_t realCoefB[8192] = {
+  0.500000000000000f, 0.500000000000000f, 0.500383496284485f, 0.499999850988388f,
+  0.500766992568970f, 0.499999403953552f, 0.501150488853455f, 0.499998688697815f,
+  0.501533985137939f, 0.499997645616531f, 0.501917481422424f, 0.499996334314346f,
+  0.502300977706909f, 0.499994695186615f, 0.502684473991394f, 0.499992787837982f,
+  0.503067970275879f, 0.499990582466125f, 0.503451406955719f, 0.499988079071045f,
+  0.503834903240204f, 0.499985307455063f, 0.504218399524689f, 0.499982208013535f,
+  0.504601895809174f, 0.499978810548782f, 0.504985332489014f, 0.499975144863129f,
+  0.505368828773499f, 0.499971181154251f, 0.505752325057983f, 0.499966919422150f,
+  0.506135761737823f, 0.499962359666824f, 0.506519258022308f, 0.499957501888275f,
+  0.506902694702148f, 0.499952346086502f, 0.507286131381989f, 0.499946922063828f,
+  0.507669627666473f, 0.499941170215607f, 0.508053064346313f, 0.499935150146484f,
+  0.508436501026154f, 0.499928832054138f, 0.508819937705994f, 0.499922215938568f,
+  0.509203374385834f, 0.499915301799774f, 0.509586811065674f, 0.499908089637756f,
+  0.509970188140869f, 0.499900579452515f, 0.510353624820709f, 0.499892801046371f,
+  0.510737061500549f, 0.499884694814682f, 0.511120438575745f, 0.499876320362091f,
+  0.511503815650940f, 0.499867647886276f, 0.511887252330780f, 0.499858677387238f,
+  0.512270629405975f, 0.499849408864975f, 0.512654006481171f, 0.499839842319489f,
+  0.513037383556366f, 0.499830007553101f, 0.513420701026917f, 0.499819844961166f,
+  0.513804078102112f, 0.499809414148331f, 0.514187395572662f, 0.499798685312271f,
+  0.514570772647858f, 0.499787658452988f, 0.514954090118408f, 0.499776333570480f,
+  0.515337407588959f, 0.499764710664749f, 0.515720725059509f, 0.499752789735794f,
+  0.516103982925415f, 0.499740600585938f, 0.516487300395966f, 0.499728083610535f,
+  0.516870558261871f, 0.499715298414230f, 0.517253875732422f, 0.499702215194702f,
+  0.517637133598328f, 0.499688833951950f, 0.518020391464233f, 0.499675154685974f,
+  0.518403589725494f, 0.499661177396774f, 0.518786847591400f, 0.499646931886673f,
+  0.519170045852661f, 0.499632388353348f, 0.519553244113922f, 0.499617516994476f,
+  0.519936442375183f, 0.499602377414703f, 0.520319640636444f, 0.499586939811707f,
+  0.520702838897705f, 0.499571204185486f, 0.521085977554321f, 0.499555170536041f,
+  0.521469116210938f, 0.499538868665695f, 0.521852254867554f, 0.499522238969803f,
+  0.522235393524170f, 0.499505341053009f, 0.522618472576141f, 0.499488145112991f,
+  0.523001611232758f, 0.499470651149750f, 0.523384690284729f, 0.499452859163284f,
+  0.523767769336700f, 0.499434769153595f, 0.524150788784027f, 0.499416410923004f,
+  0.524533808231354f, 0.499397724866867f, 0.524916887283325f, 0.499378770589828f,
+  0.525299847126007f, 0.499359518289566f, 0.525682866573334f, 0.499339967966080f,
+  0.526065826416016f, 0.499320119619370f, 0.526448845863342f, 0.499299973249435f,
+  0.526831746101379f, 0.499279528856277f, 0.527214705944061f, 0.499258816242218f,
+  0.527597606182098f, 0.499237775802612f, 0.527980506420136f, 0.499216467142105f,
+  0.528363406658173f, 0.499194860458374f, 0.528746306896210f, 0.499172955751419f,
+  0.529129147529602f, 0.499150782823563f, 0.529511988162994f, 0.499128282070160f,
+  0.529894769191742f, 0.499105513095856f, 0.530277609825134f, 0.499082416296005f,
+  0.530660390853882f, 0.499059051275253f, 0.531043112277985f, 0.499035388231277f,
+  0.531425893306732f, 0.499011427164078f, 0.531808614730835f, 0.498987197875977f,
+  0.532191336154938f, 0.498962640762329f, 0.532573997974396f, 0.498937815427780f,
+  0.532956659793854f, 0.498912662267685f, 0.533339321613312f, 0.498887240886688f,
+  0.533721983432770f, 0.498861521482468f, 0.534104585647583f, 0.498835533857346f,
+  0.534487187862396f, 0.498809218406677f, 0.534869730472565f, 0.498782604932785f,
+  0.535252273082733f, 0.498755723237991f, 0.535634815692902f, 0.498728543519974f,
+  0.536017298698425f, 0.498701065778732f, 0.536399841308594f, 0.498673290014267f,
+  0.536782264709473f, 0.498645216226578f, 0.537164747714996f, 0.498616874217987f,
+  0.537547171115875f, 0.498588204383850f, 0.537929534912109f, 0.498559266328812f,
+  0.538311958312988f, 0.498530030250549f, 0.538694262504578f, 0.498500496149063f,
+  0.539076626300812f, 0.498470664024353f, 0.539458930492401f, 0.498440563678741f,
+  0.539841234683990f, 0.498410135507584f, 0.540223479270935f, 0.498379439115524f,
+  0.540605723857880f, 0.498348444700241f, 0.540987968444824f, 0.498317152261734f,
+  0.541370153427124f, 0.498285561800003f, 0.541752278804779f, 0.498253703117371f,
+  0.542134463787079f, 0.498221516609192f, 0.542516589164734f, 0.498189061880112f,
+  0.542898654937744f, 0.498156309127808f, 0.543280720710754f, 0.498123258352280f,
+  0.543662786483765f, 0.498089909553528f, 0.544044792652130f, 0.498056292533875f,
+  0.544426798820496f, 0.498022347688675f, 0.544808745384216f, 0.497988134622574f,
+  0.545190691947937f, 0.497953623533249f, 0.545572578907013f, 0.497918814420700f,
+  0.545954465866089f, 0.497883707284927f, 0.546336352825165f, 0.497848302125931f,
+  0.546718180179596f, 0.497812628746033f, 0.547099947929382f, 0.497776657342911f,
+  0.547481775283813f, 0.497740387916565f, 0.547863483428955f, 0.497703820466995f,
+  0.548245191574097f, 0.497666954994202f, 0.548626899719238f, 0.497629791498184f,
+  0.549008548259735f, 0.497592359781265f, 0.549390196800232f, 0.497554630041122f,
+  0.549771785736084f, 0.497516602277756f, 0.550153374671936f, 0.497478276491165f,
+  0.550534904003143f, 0.497439652681351f, 0.550916433334351f, 0.497400760650635f,
+  0.551297962665558f, 0.497361570596695f, 0.551679372787476f, 0.497322082519531f,
+  0.552060842514038f, 0.497282296419144f, 0.552442193031311f, 0.497242212295532f,
+  0.552823603153229f, 0.497201830148697f, 0.553204894065857f, 0.497161179780960f,
+  0.553586184978485f, 0.497120231389999f, 0.553967475891113f, 0.497078984975815f,
+  0.554348707199097f, 0.497037440538406f, 0.554729938507080f, 0.496995598077774f,
+  0.555111110210419f, 0.496953487396240f, 0.555492222309113f, 0.496911078691483f,
+  0.555873334407806f, 0.496868371963501f, 0.556254446506500f, 0.496825367212296f,
+  0.556635499000549f, 0.496782064437866f, 0.557016491889954f, 0.496738493442535f,
+  0.557397484779358f, 0.496694594621658f, 0.557778418064117f, 0.496650427579880f,
+  0.558159291744232f, 0.496605962514877f, 0.558540165424347f, 0.496561229228973f,
+  0.558921039104462f, 0.496516168117523f, 0.559301853179932f, 0.496470838785172f,
+  0.559682607650757f, 0.496425211429596f, 0.560063362121582f, 0.496379286050797f,
+  0.560444056987762f, 0.496333062648773f, 0.560824692249298f, 0.496286571025848f,
+  0.561205327510834f, 0.496239781379700f, 0.561585903167725f, 0.496192663908005f,
+  0.561966478824615f, 0.496145308017731f, 0.562346994876862f, 0.496097624301910f,
+  0.562727510929108f, 0.496049642562866f, 0.563107967376709f, 0.496001392602921f,
+  0.563488364219666f, 0.495952844619751f, 0.563868701457977f, 0.495903998613358f,
+  0.564249038696289f, 0.495854884386063f, 0.564629375934601f, 0.495805442333221f,
+  0.565009593963623f, 0.495755732059479f, 0.565389811992645f, 0.495705723762512f,
+  0.565770030021667f, 0.495655417442322f, 0.566150128841400f, 0.495604842901230f,
+  0.566530287265778f, 0.495553970336914f, 0.566910326480865f, 0.495502769947052f,
+  0.567290365695953f, 0.495451331138611f, 0.567670345306396f, 0.495399564504623f,
+  0.568050265312195f, 0.495347499847412f, 0.568430185317993f, 0.495295166969299f,
+  0.568810045719147f, 0.495242536067963f, 0.569189906120300f, 0.495189607143402f,
+  0.569569647312164f, 0.495136409997940f, 0.569949388504028f, 0.495082914829254f,
+  0.570329129695892f, 0.495029091835022f, 0.570708811283112f, 0.494975030422211f,
+  0.571088373661041f, 0.494920641183853f, 0.571467995643616f, 0.494865983724594f,
+  0.571847498416901f, 0.494810998439789f, 0.572227001190186f, 0.494755744934082f,
+  0.572606444358826f, 0.494700223207474f, 0.572985887527466f, 0.494644373655319f,
+  0.573365211486816f, 0.494588255882263f, 0.573744535446167f, 0.494531840085983f,
+  0.574123859405518f, 0.494475126266479f, 0.574503064155579f, 0.494418144226074f,
+  0.574882268905640f, 0.494360834360123f, 0.575261414051056f, 0.494303256273270f,
+  0.575640499591827f, 0.494245409965515f, 0.576019585132599f, 0.494187235832214f,
+  0.576398611068726f, 0.494128793478012f, 0.576777577400208f, 0.494070053100586f,
+  0.577156484127045f, 0.494011014699936f, 0.577535390853882f, 0.493951678276062f,
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+  0.536782264709473f, -0.498645216226578f, 0.536399841308594f, -0.498673290014267f,
+  0.536017298698425f, -0.498701065778732f, 0.535634815692902f, -0.498728543519974f,
+  0.535252273082733f, -0.498755723237991f, 0.534869730472565f, -0.498782604932785f,
+  0.534487187862396f, -0.498809218406677f, 0.534104585647583f, -0.498835533857346f,
+  0.533721983432770f, -0.498861521482468f, 0.533339321613312f, -0.498887240886688f,
+  0.532956659793854f, -0.498912662267685f, 0.532573997974396f, -0.498937815427780f,
+  0.532191336154938f, -0.498962640762329f, 0.531808614730835f, -0.498987197875977f,
+  0.531425893306732f, -0.499011427164078f, 0.531043112277985f, -0.499035388231277f,
+  0.530660390853882f, -0.499059051275253f, 0.530277609825134f, -0.499082416296005f,
+  0.529894769191742f, -0.499105513095856f, 0.529511988162994f, -0.499128282070160f,
+  0.529129147529602f, -0.499150782823563f, 0.528746306896210f, -0.499172955751419f,
+  0.528363406658173f, -0.499194860458374f, 0.527980506420136f, -0.499216467142105f,
+  0.527597606182098f, -0.499237775802612f, 0.527214705944061f, -0.499258816242218f,
+  0.526831746101379f, -0.499279528856277f, 0.526448845863342f, -0.499299973249435f,
+  0.526065826416016f, -0.499320119619370f, 0.525682866573334f, -0.499339967966080f,
+  0.525299847126007f, -0.499359518289566f, 0.524916887283325f, -0.499378770589828f,
+  0.524533808231354f, -0.499397724866867f, 0.524150788784027f, -0.499416410923004f,
+  0.523767769336700f, -0.499434769153595f, 0.523384690284729f, -0.499452859163284f,
+  0.523001611232758f, -0.499470651149750f, 0.522618472576141f, -0.499488145112991f,
+  0.522235393524170f, -0.499505341053009f, 0.521852254867554f, -0.499522238969803f,
+  0.521469116210938f, -0.499538868665695f, 0.521085977554321f, -0.499555170536041f,
+  0.520702838897705f, -0.499571204185486f, 0.520319640636444f, -0.499586939811707f,
+  0.519936442375183f, -0.499602377414703f, 0.519553244113922f, -0.499617516994476f,
+  0.519170045852661f, -0.499632388353348f, 0.518786847591400f, -0.499646931886673f,
+  0.518403589725494f, -0.499661177396774f, 0.518020391464233f, -0.499675154685974f,
+  0.517637133598328f, -0.499688833951950f, 0.517253875732422f, -0.499702215194702f,
+  0.516870558261871f, -0.499715298414230f, 0.516487300395966f, -0.499728083610535f,
+  0.516103982925415f, -0.499740600585938f, 0.515720725059509f, -0.499752789735794f,
+  0.515337407588959f, -0.499764710664749f, 0.514954090118408f, -0.499776333570480f,
+  0.514570772647858f, -0.499787658452988f, 0.514187395572662f, -0.499798685312271f,
+  0.513804078102112f, -0.499809414148331f, 0.513420701026917f, -0.499819844961166f,
+  0.513037383556366f, -0.499830007553101f, 0.512654006481171f, -0.499839842319489f,
+  0.512270629405975f, -0.499849408864975f, 0.511887252330780f, -0.499858677387238f,
+  0.511503815650940f, -0.499867647886276f, 0.511120438575745f, -0.499876320362091f,
+  0.510737061500549f, -0.499884694814682f, 0.510353624820709f, -0.499892801046371f,
+  0.509970188140869f, -0.499900579452515f, 0.509586811065674f, -0.499908089637756f,
+  0.509203374385834f, -0.499915301799774f, 0.508819937705994f, -0.499922215938568f,
+  0.508436501026154f, -0.499928832054138f, 0.508053064346313f, -0.499935150146484f,
+  0.507669627666473f, -0.499941170215607f, 0.507286131381989f, -0.499946922063828f,
+  0.506902694702148f, -0.499952346086502f, 0.506519258022308f, -0.499957501888275f,
+  0.506135761737823f, -0.499962359666824f, 0.505752325057983f, -0.499966919422150f,
+  0.505368828773499f, -0.499971181154251f, 0.504985332489014f, -0.499975144863129f,
+  0.504601895809174f, -0.499978810548782f, 0.504218399524689f, -0.499982208013535f,
+  0.503834903240204f, -0.499985307455063f, 0.503451406955719f, -0.499988079071045f,
+  0.503067970275879f, -0.499990582466125f, 0.502684473991394f, -0.499992787837982f,
+  0.502300977706909f, -0.499994695186615f, 0.501917481422424f, -0.499996334314346f,
+  0.501533985137939f, -0.499997645616531f, 0.501150488853455f, -0.499998688697815f,
+  0.500766992568970f, -0.499999403953552f, 0.500383496284485f, -0.499999850988388f,
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q31)
+/**
+  @par
+  Generation fixed-point realCoefAQ31 array in Q31 format:
+  @par
+  n = 4096
+  <pre>for (i = 0; i < n; i++)
+  {
+     pATable[2 * i]     = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+     pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }</pre>
+  @par
+  Convert to fixed point Q31 format
+      round(pATable[i] * pow(2, 31))
+*/
+const q31_t realCoefAQ31[8192] = {
+    (q31_t)0x40000000, (q31_t)0xc0000000, (q31_t)0x3ff36f02, (q31_t)0xc000013c,
+    (q31_t)0x3fe6de05, (q31_t)0xc00004ef, (q31_t)0x3fda4d09, (q31_t)0xc0000b1a,
+    (q31_t)0x3fcdbc0f, (q31_t)0xc00013bd, (q31_t)0x3fc12b16, (q31_t)0xc0001ed8,
+    (q31_t)0x3fb49a1f, (q31_t)0xc0002c6a, (q31_t)0x3fa8092c, (q31_t)0xc0003c74,
+    (q31_t)0x3f9b783c, (q31_t)0xc0004ef5, (q31_t)0x3f8ee750, (q31_t)0xc00063ee,
+    (q31_t)0x3f825668, (q31_t)0xc0007b5f, (q31_t)0x3f75c585, (q31_t)0xc0009547,
+    (q31_t)0x3f6934a8, (q31_t)0xc000b1a7, (q31_t)0x3f5ca3d0, (q31_t)0xc000d07e,
+    (q31_t)0x3f5012fe, (q31_t)0xc000f1ce, (q31_t)0x3f438234, (q31_t)0xc0011594,
+    (q31_t)0x3f36f170, (q31_t)0xc0013bd3, (q31_t)0x3f2a60b4, (q31_t)0xc0016489,
+    (q31_t)0x3f1dd001, (q31_t)0xc0018fb6, (q31_t)0x3f113f56, (q31_t)0xc001bd5c,
+    (q31_t)0x3f04aeb5, (q31_t)0xc001ed78, (q31_t)0x3ef81e1d, (q31_t)0xc002200d,
+    (q31_t)0x3eeb8d8f, (q31_t)0xc0025519, (q31_t)0x3edefd0c, (q31_t)0xc0028c9c,
+    (q31_t)0x3ed26c94, (q31_t)0xc002c697, (q31_t)0x3ec5dc28, (q31_t)0xc003030a,
+    (q31_t)0x3eb94bc8, (q31_t)0xc00341f4, (q31_t)0x3eacbb74, (q31_t)0xc0038356,
+    (q31_t)0x3ea02b2e, (q31_t)0xc003c72f, (q31_t)0x3e939af5, (q31_t)0xc0040d80,
+    (q31_t)0x3e870aca, (q31_t)0xc0045648, (q31_t)0x3e7a7aae, (q31_t)0xc004a188,
+    (q31_t)0x3e6deaa1, (q31_t)0xc004ef3f, (q31_t)0x3e615aa3, (q31_t)0xc0053f6e,
+    (q31_t)0x3e54cab5, (q31_t)0xc0059214, (q31_t)0x3e483ad8, (q31_t)0xc005e731,
+    (q31_t)0x3e3bab0b, (q31_t)0xc0063ec6, (q31_t)0x3e2f1b50, (q31_t)0xc00698d3,
+    (q31_t)0x3e228ba7, (q31_t)0xc006f556, (q31_t)0x3e15fc11, (q31_t)0xc0075452,
+    (q31_t)0x3e096c8d, (q31_t)0xc007b5c4, (q31_t)0x3dfcdd1d, (q31_t)0xc00819ae,
+    (q31_t)0x3df04dc0, (q31_t)0xc008800f, (q31_t)0x3de3be78, (q31_t)0xc008e8e8,
+    (q31_t)0x3dd72f45, (q31_t)0xc0095438, (q31_t)0x3dcaa027, (q31_t)0xc009c1ff,
+    (q31_t)0x3dbe111e, (q31_t)0xc00a323d, (q31_t)0x3db1822c, (q31_t)0xc00aa4f3,
+    (q31_t)0x3da4f351, (q31_t)0xc00b1a20, (q31_t)0x3d98648d, (q31_t)0xc00b91c4,
+    (q31_t)0x3d8bd5e1, (q31_t)0xc00c0be0, (q31_t)0x3d7f474d, (q31_t)0xc00c8872,
+    (q31_t)0x3d72b8d2, (q31_t)0xc00d077c, (q31_t)0x3d662a70, (q31_t)0xc00d88fd,
+    (q31_t)0x3d599c28, (q31_t)0xc00e0cf5, (q31_t)0x3d4d0df9, (q31_t)0xc00e9364,
+    (q31_t)0x3d407fe6, (q31_t)0xc00f1c4a, (q31_t)0x3d33f1ed, (q31_t)0xc00fa7a8,
+    (q31_t)0x3d276410, (q31_t)0xc010357c, (q31_t)0x3d1ad650, (q31_t)0xc010c5c7,
+    (q31_t)0x3d0e48ab, (q31_t)0xc011588a, (q31_t)0x3d01bb24, (q31_t)0xc011edc3,
+    (q31_t)0x3cf52dbb, (q31_t)0xc0128574, (q31_t)0x3ce8a06f, (q31_t)0xc0131f9b,
+    (q31_t)0x3cdc1342, (q31_t)0xc013bc39, (q31_t)0x3ccf8634, (q31_t)0xc0145b4e,
+    (q31_t)0x3cc2f945, (q31_t)0xc014fcda, (q31_t)0x3cb66c77, (q31_t)0xc015a0dd,
+    (q31_t)0x3ca9dfc8, (q31_t)0xc0164757, (q31_t)0x3c9d533b, (q31_t)0xc016f047,
+    (q31_t)0x3c90c6cf, (q31_t)0xc0179bae, (q31_t)0x3c843a85, (q31_t)0xc018498c,
+    (q31_t)0x3c77ae5e, (q31_t)0xc018f9e1, (q31_t)0x3c6b2259, (q31_t)0xc019acac,
+    (q31_t)0x3c5e9678, (q31_t)0xc01a61ee, (q31_t)0x3c520aba, (q31_t)0xc01b19a7,
+    (q31_t)0x3c457f21, (q31_t)0xc01bd3d6, (q31_t)0x3c38f3ac, (q31_t)0xc01c907c,
+    (q31_t)0x3c2c685d, (q31_t)0xc01d4f99, (q31_t)0x3c1fdd34, (q31_t)0xc01e112b,
+    (q31_t)0x3c135231, (q31_t)0xc01ed535, (q31_t)0x3c06c754, (q31_t)0xc01f9bb5,
+    (q31_t)0x3bfa3c9f, (q31_t)0xc02064ab, (q31_t)0x3bedb212, (q31_t)0xc0213018,
+    (q31_t)0x3be127ac, (q31_t)0xc021fdfb, (q31_t)0x3bd49d70, (q31_t)0xc022ce54,
+    (q31_t)0x3bc8135c, (q31_t)0xc023a124, (q31_t)0x3bbb8973, (q31_t)0xc024766a,
+    (q31_t)0x3baeffb3, (q31_t)0xc0254e27, (q31_t)0x3ba2761e, (q31_t)0xc0262859,
+    (q31_t)0x3b95ecb4, (q31_t)0xc0270502, (q31_t)0x3b896375, (q31_t)0xc027e421,
+    (q31_t)0x3b7cda63, (q31_t)0xc028c5b6, (q31_t)0x3b70517d, (q31_t)0xc029a9c1,
+    (q31_t)0x3b63c8c4, (q31_t)0xc02a9042, (q31_t)0x3b574039, (q31_t)0xc02b7939,
+    (q31_t)0x3b4ab7db, (q31_t)0xc02c64a6, (q31_t)0x3b3e2fac, (q31_t)0xc02d5289,
+    (q31_t)0x3b31a7ac, (q31_t)0xc02e42e2, (q31_t)0x3b251fdc, (q31_t)0xc02f35b1,
+    (q31_t)0x3b18983b, (q31_t)0xc0302af5, (q31_t)0x3b0c10cb, (q31_t)0xc03122b0,
+    (q31_t)0x3aff898c, (q31_t)0xc0321ce0, (q31_t)0x3af3027e, (q31_t)0xc0331986,
+    (q31_t)0x3ae67ba2, (q31_t)0xc03418a2, (q31_t)0x3ad9f4f8, (q31_t)0xc0351a33,
+    (q31_t)0x3acd6e81, (q31_t)0xc0361e3a, (q31_t)0x3ac0e83d, (q31_t)0xc03724b6,
+    (q31_t)0x3ab4622d, (q31_t)0xc0382da8, (q31_t)0x3aa7dc52, (q31_t)0xc0393910,
+    (q31_t)0x3a9b56ab, (q31_t)0xc03a46ed, (q31_t)0x3a8ed139, (q31_t)0xc03b573f,
+    (q31_t)0x3a824bfd, (q31_t)0xc03c6a07, (q31_t)0x3a75c6f8, (q31_t)0xc03d7f44,
+    (q31_t)0x3a694229, (q31_t)0xc03e96f6, (q31_t)0x3a5cbd91, (q31_t)0xc03fb11d,
+    (q31_t)0x3a503930, (q31_t)0xc040cdba, (q31_t)0x3a43b508, (q31_t)0xc041eccc,
+    (q31_t)0x3a373119, (q31_t)0xc0430e53, (q31_t)0x3a2aad62, (q31_t)0xc044324f,
+    (q31_t)0x3a1e29e5, (q31_t)0xc04558c0, (q31_t)0x3a11a6a3, (q31_t)0xc04681a6,
+    (q31_t)0x3a05239a, (q31_t)0xc047ad01, (q31_t)0x39f8a0cd, (q31_t)0xc048dad1,
+    (q31_t)0x39ec1e3b, (q31_t)0xc04a0b16, (q31_t)0x39df9be6, (q31_t)0xc04b3dcf,
+    (q31_t)0x39d319cc, (q31_t)0xc04c72fe, (q31_t)0x39c697f0, (q31_t)0xc04daaa1,
+    (q31_t)0x39ba1651, (q31_t)0xc04ee4b8, (q31_t)0x39ad94f0, (q31_t)0xc0502145,
+    (q31_t)0x39a113cd, (q31_t)0xc0516045, (q31_t)0x399492ea, (q31_t)0xc052a1bb,
+    (q31_t)0x39881245, (q31_t)0xc053e5a5, (q31_t)0x397b91e1, (q31_t)0xc0552c03,
+    (q31_t)0x396f11bc, (q31_t)0xc05674d6, (q31_t)0x396291d9, (q31_t)0xc057c01d,
+    (q31_t)0x39561237, (q31_t)0xc0590dd8, (q31_t)0x394992d7, (q31_t)0xc05a5e07,
+    (q31_t)0x393d13b8, (q31_t)0xc05bb0ab, (q31_t)0x393094dd, (q31_t)0xc05d05c3,
+    (q31_t)0x39241645, (q31_t)0xc05e5d4e, (q31_t)0x391797f0, (q31_t)0xc05fb74e,
+    (q31_t)0x390b19e0, (q31_t)0xc06113c2, (q31_t)0x38fe9c15, (q31_t)0xc06272aa,
+    (q31_t)0x38f21e8e, (q31_t)0xc063d405, (q31_t)0x38e5a14d, (q31_t)0xc06537d4,
+    (q31_t)0x38d92452, (q31_t)0xc0669e18, (q31_t)0x38cca79e, (q31_t)0xc06806ce,
+    (q31_t)0x38c02b31, (q31_t)0xc06971f9, (q31_t)0x38b3af0c, (q31_t)0xc06adf97,
+    (q31_t)0x38a7332e, (q31_t)0xc06c4fa8, (q31_t)0x389ab799, (q31_t)0xc06dc22e,
+    (q31_t)0x388e3c4d, (q31_t)0xc06f3726, (q31_t)0x3881c14b, (q31_t)0xc070ae92,
+    (q31_t)0x38754692, (q31_t)0xc0722871, (q31_t)0x3868cc24, (q31_t)0xc073a4c3,
+    (q31_t)0x385c5201, (q31_t)0xc0752389, (q31_t)0x384fd829, (q31_t)0xc076a4c2,
+    (q31_t)0x38435e9d, (q31_t)0xc078286e, (q31_t)0x3836e55d, (q31_t)0xc079ae8c,
+    (q31_t)0x382a6c6a, (q31_t)0xc07b371e, (q31_t)0x381df3c5, (q31_t)0xc07cc223,
+    (q31_t)0x38117b6d, (q31_t)0xc07e4f9b, (q31_t)0x38050364, (q31_t)0xc07fdf85,
+    (q31_t)0x37f88ba9, (q31_t)0xc08171e2, (q31_t)0x37ec143e, (q31_t)0xc08306b2,
+    (q31_t)0x37df9d22, (q31_t)0xc0849df4, (q31_t)0x37d32657, (q31_t)0xc08637a9,
+    (q31_t)0x37c6afdc, (q31_t)0xc087d3d0, (q31_t)0x37ba39b3, (q31_t)0xc089726a,
+    (q31_t)0x37adc3db, (q31_t)0xc08b1376, (q31_t)0x37a14e55, (q31_t)0xc08cb6f5,
+    (q31_t)0x3794d922, (q31_t)0xc08e5ce5, (q31_t)0x37886442, (q31_t)0xc0900548,
+    (q31_t)0x377befb5, (q31_t)0xc091b01d, (q31_t)0x376f7b7d, (q31_t)0xc0935d64,
+    (q31_t)0x37630799, (q31_t)0xc0950d1d, (q31_t)0x3756940a, (q31_t)0xc096bf48,
+    (q31_t)0x374a20d0, (q31_t)0xc09873e4, (q31_t)0x373daded, (q31_t)0xc09a2af3,
+    (q31_t)0x37313b60, (q31_t)0xc09be473, (q31_t)0x3724c92a, (q31_t)0xc09da065,
+    (q31_t)0x3718574b, (q31_t)0xc09f5ec8, (q31_t)0x370be5c4, (q31_t)0xc0a11f9d,
+    (q31_t)0x36ff7496, (q31_t)0xc0a2e2e3, (q31_t)0x36f303c0, (q31_t)0xc0a4a89b,
+    (q31_t)0x36e69344, (q31_t)0xc0a670c4, (q31_t)0x36da2321, (q31_t)0xc0a83b5e,
+    (q31_t)0x36cdb359, (q31_t)0xc0aa086a, (q31_t)0x36c143ec, (q31_t)0xc0abd7e6,
+    (q31_t)0x36b4d4d9, (q31_t)0xc0ada9d4, (q31_t)0x36a86623, (q31_t)0xc0af7e33,
+    (q31_t)0x369bf7c9, (q31_t)0xc0b15502, (q31_t)0x368f89cb, (q31_t)0xc0b32e42,
+    (q31_t)0x36831c2b, (q31_t)0xc0b509f3, (q31_t)0x3676aee8, (q31_t)0xc0b6e815,
+    (q31_t)0x366a4203, (q31_t)0xc0b8c8a7, (q31_t)0x365dd57d, (q31_t)0xc0baabaa,
+    (q31_t)0x36516956, (q31_t)0xc0bc911d, (q31_t)0x3644fd8f, (q31_t)0xc0be7901,
+    (q31_t)0x36389228, (q31_t)0xc0c06355, (q31_t)0x362c2721, (q31_t)0xc0c25019,
+    (q31_t)0x361fbc7b, (q31_t)0xc0c43f4d, (q31_t)0x36135237, (q31_t)0xc0c630f2,
+    (q31_t)0x3606e854, (q31_t)0xc0c82506, (q31_t)0x35fa7ed4, (q31_t)0xc0ca1b8a,
+    (q31_t)0x35ee15b7, (q31_t)0xc0cc147f, (q31_t)0x35e1acfd, (q31_t)0xc0ce0fe3,
+    (q31_t)0x35d544a7, (q31_t)0xc0d00db6, (q31_t)0x35c8dcb6, (q31_t)0xc0d20dfa,
+    (q31_t)0x35bc7529, (q31_t)0xc0d410ad, (q31_t)0x35b00e02, (q31_t)0xc0d615cf,
+    (q31_t)0x35a3a740, (q31_t)0xc0d81d61, (q31_t)0x359740e5, (q31_t)0xc0da2762,
+    (q31_t)0x358adaf0, (q31_t)0xc0dc33d2, (q31_t)0x357e7563, (q31_t)0xc0de42b2,
+    (q31_t)0x3572103d, (q31_t)0xc0e05401, (q31_t)0x3565ab80, (q31_t)0xc0e267be,
+    (q31_t)0x3559472b, (q31_t)0xc0e47deb, (q31_t)0x354ce33f, (q31_t)0xc0e69686,
+    (q31_t)0x35407fbd, (q31_t)0xc0e8b190, (q31_t)0x35341ca5, (q31_t)0xc0eacf09,
+    (q31_t)0x3527b9f7, (q31_t)0xc0eceef1, (q31_t)0x351b57b5, (q31_t)0xc0ef1147,
+    (q31_t)0x350ef5de, (q31_t)0xc0f1360b, (q31_t)0x35029473, (q31_t)0xc0f35d3e,
+    (q31_t)0x34f63374, (q31_t)0xc0f586df, (q31_t)0x34e9d2e3, (q31_t)0xc0f7b2ee,
+    (q31_t)0x34dd72be, (q31_t)0xc0f9e16b, (q31_t)0x34d11308, (q31_t)0xc0fc1257,
+    (q31_t)0x34c4b3c0, (q31_t)0xc0fe45b0, (q31_t)0x34b854e7, (q31_t)0xc1007b77,
+    (q31_t)0x34abf67e, (q31_t)0xc102b3ac, (q31_t)0x349f9884, (q31_t)0xc104ee4f,
+    (q31_t)0x34933afa, (q31_t)0xc1072b5f, (q31_t)0x3486dde1, (q31_t)0xc1096add,
+    (q31_t)0x347a8139, (q31_t)0xc10bacc8, (q31_t)0x346e2504, (q31_t)0xc10df120,
+    (q31_t)0x3461c940, (q31_t)0xc11037e6, (q31_t)0x34556def, (q31_t)0xc1128119,
+    (q31_t)0x34491311, (q31_t)0xc114ccb9, (q31_t)0x343cb8a7, (q31_t)0xc1171ac6,
+    (q31_t)0x34305eb0, (q31_t)0xc1196b3f, (q31_t)0x3424052f, (q31_t)0xc11bbe26,
+    (q31_t)0x3417ac22, (q31_t)0xc11e1379, (q31_t)0x340b538b, (q31_t)0xc1206b39,
+    (q31_t)0x33fefb6a, (q31_t)0xc122c566, (q31_t)0x33f2a3bf, (q31_t)0xc12521ff,
+    (q31_t)0x33e64c8c, (q31_t)0xc1278104, (q31_t)0x33d9f5cf, (q31_t)0xc129e276,
+    (q31_t)0x33cd9f8b, (q31_t)0xc12c4653, (q31_t)0x33c149bf, (q31_t)0xc12eac9d,
+    (q31_t)0x33b4f46c, (q31_t)0xc1311553, (q31_t)0x33a89f92, (q31_t)0xc1338075,
+    (q31_t)0x339c4b32, (q31_t)0xc135ee02, (q31_t)0x338ff74d, (q31_t)0xc1385dfb,
+    (q31_t)0x3383a3e2, (q31_t)0xc13ad060, (q31_t)0x337750f2, (q31_t)0xc13d4530,
+    (q31_t)0x336afe7e, (q31_t)0xc13fbc6c, (q31_t)0x335eac86, (q31_t)0xc1423613,
+    (q31_t)0x33525b0b, (q31_t)0xc144b225, (q31_t)0x33460a0d, (q31_t)0xc14730a3,
+    (q31_t)0x3339b98d, (q31_t)0xc149b18b, (q31_t)0x332d698a, (q31_t)0xc14c34df,
+    (q31_t)0x33211a07, (q31_t)0xc14eba9d, (q31_t)0x3314cb02, (q31_t)0xc15142c6,
+    (q31_t)0x33087c7d, (q31_t)0xc153cd5a, (q31_t)0x32fc2e77, (q31_t)0xc1565a58,
+    (q31_t)0x32efe0f2, (q31_t)0xc158e9c1, (q31_t)0x32e393ef, (q31_t)0xc15b7b94,
+    (q31_t)0x32d7476c, (q31_t)0xc15e0fd1, (q31_t)0x32cafb6b, (q31_t)0xc160a678,
+    (q31_t)0x32beafed, (q31_t)0xc1633f8a, (q31_t)0x32b264f2, (q31_t)0xc165db05,
+    (q31_t)0x32a61a7a, (q31_t)0xc16878eb, (q31_t)0x3299d085, (q31_t)0xc16b193a,
+    (q31_t)0x328d8715, (q31_t)0xc16dbbf3, (q31_t)0x32813e2a, (q31_t)0xc1706115,
+    (q31_t)0x3274f5c3, (q31_t)0xc17308a1, (q31_t)0x3268ade3, (q31_t)0xc175b296,
+    (q31_t)0x325c6688, (q31_t)0xc1785ef4, (q31_t)0x32501fb5, (q31_t)0xc17b0dbb,
+    (q31_t)0x3243d968, (q31_t)0xc17dbeec, (q31_t)0x323793a3, (q31_t)0xc1807285,
+    (q31_t)0x322b4e66, (q31_t)0xc1832888, (q31_t)0x321f09b1, (q31_t)0xc185e0f3,
+    (q31_t)0x3212c585, (q31_t)0xc1889bc6, (q31_t)0x320681e3, (q31_t)0xc18b5903,
+    (q31_t)0x31fa3ecb, (q31_t)0xc18e18a7, (q31_t)0x31edfc3d, (q31_t)0xc190dab4,
+    (q31_t)0x31e1ba3a, (q31_t)0xc1939f29, (q31_t)0x31d578c2, (q31_t)0xc1966606,
+    (q31_t)0x31c937d6, (q31_t)0xc1992f4c, (q31_t)0x31bcf777, (q31_t)0xc19bfaf9,
+    (q31_t)0x31b0b7a4, (q31_t)0xc19ec90d, (q31_t)0x31a4785e, (q31_t)0xc1a1998a,
+    (q31_t)0x319839a6, (q31_t)0xc1a46c6e, (q31_t)0x318bfb7d, (q31_t)0xc1a741b9,
+    (q31_t)0x317fbde2, (q31_t)0xc1aa196c, (q31_t)0x317380d6, (q31_t)0xc1acf386,
+    (q31_t)0x31674459, (q31_t)0xc1afd007, (q31_t)0x315b086d, (q31_t)0xc1b2aef0,
+    (q31_t)0x314ecd11, (q31_t)0xc1b5903f, (q31_t)0x31429247, (q31_t)0xc1b873f5,
+    (q31_t)0x3136580d, (q31_t)0xc1bb5a11, (q31_t)0x312a1e66, (q31_t)0xc1be4294,
+    (q31_t)0x311de551, (q31_t)0xc1c12d7e, (q31_t)0x3111accf, (q31_t)0xc1c41ace,
+    (q31_t)0x310574e0, (q31_t)0xc1c70a84, (q31_t)0x30f93d86, (q31_t)0xc1c9fca0,
+    (q31_t)0x30ed06bf, (q31_t)0xc1ccf122, (q31_t)0x30e0d08d, (q31_t)0xc1cfe80a,
+    (q31_t)0x30d49af1, (q31_t)0xc1d2e158, (q31_t)0x30c865ea, (q31_t)0xc1d5dd0c,
+    (q31_t)0x30bc317a, (q31_t)0xc1d8db25, (q31_t)0x30affda0, (q31_t)0xc1dbdba3,
+    (q31_t)0x30a3ca5d, (q31_t)0xc1dede87, (q31_t)0x309797b2, (q31_t)0xc1e1e3d0,
+    (q31_t)0x308b659f, (q31_t)0xc1e4eb7e, (q31_t)0x307f3424, (q31_t)0xc1e7f591,
+    (q31_t)0x30730342, (q31_t)0xc1eb0209, (q31_t)0x3066d2fa, (q31_t)0xc1ee10e5,
+    (q31_t)0x305aa34c, (q31_t)0xc1f12227, (q31_t)0x304e7438, (q31_t)0xc1f435cc,
+    (q31_t)0x304245c0, (q31_t)0xc1f74bd6, (q31_t)0x303617e2, (q31_t)0xc1fa6445,
+    (q31_t)0x3029eaa1, (q31_t)0xc1fd7f17, (q31_t)0x301dbdfb, (q31_t)0xc2009c4e,
+    (q31_t)0x301191f3, (q31_t)0xc203bbe8, (q31_t)0x30056687, (q31_t)0xc206dde6,
+    (q31_t)0x2ff93bba, (q31_t)0xc20a0248, (q31_t)0x2fed118a, (q31_t)0xc20d290d,
+    (q31_t)0x2fe0e7f9, (q31_t)0xc2105236, (q31_t)0x2fd4bf08, (q31_t)0xc2137dc2,
+    (q31_t)0x2fc896b5, (q31_t)0xc216abb1, (q31_t)0x2fbc6f03, (q31_t)0xc219dc03,
+    (q31_t)0x2fb047f2, (q31_t)0xc21d0eb8, (q31_t)0x2fa42181, (q31_t)0xc22043d0,
+    (q31_t)0x2f97fbb2, (q31_t)0xc2237b4b, (q31_t)0x2f8bd685, (q31_t)0xc226b528,
+    (q31_t)0x2f7fb1fa, (q31_t)0xc229f167, (q31_t)0x2f738e12, (q31_t)0xc22d3009,
+    (q31_t)0x2f676ace, (q31_t)0xc230710d, (q31_t)0x2f5b482d, (q31_t)0xc233b473,
+    (q31_t)0x2f4f2630, (q31_t)0xc236fa3b, (q31_t)0x2f4304d8, (q31_t)0xc23a4265,
+    (q31_t)0x2f36e426, (q31_t)0xc23d8cf1, (q31_t)0x2f2ac419, (q31_t)0xc240d9de,
+    (q31_t)0x2f1ea4b2, (q31_t)0xc244292c, (q31_t)0x2f1285f2, (q31_t)0xc2477adc,
+    (q31_t)0x2f0667d9, (q31_t)0xc24aceed, (q31_t)0x2efa4a67, (q31_t)0xc24e255e,
+    (q31_t)0x2eee2d9d, (q31_t)0xc2517e31, (q31_t)0x2ee2117c, (q31_t)0xc254d965,
+    (q31_t)0x2ed5f604, (q31_t)0xc25836f9, (q31_t)0x2ec9db35, (q31_t)0xc25b96ee,
+    (q31_t)0x2ebdc110, (q31_t)0xc25ef943, (q31_t)0x2eb1a796, (q31_t)0xc2625df8,
+    (q31_t)0x2ea58ec6, (q31_t)0xc265c50e, (q31_t)0x2e9976a1, (q31_t)0xc2692e83,
+    (q31_t)0x2e8d5f29, (q31_t)0xc26c9a58, (q31_t)0x2e81485c, (q31_t)0xc270088e,
+    (q31_t)0x2e75323c, (q31_t)0xc2737922, (q31_t)0x2e691cc9, (q31_t)0xc276ec16,
+    (q31_t)0x2e5d0804, (q31_t)0xc27a616a, (q31_t)0x2e50f3ed, (q31_t)0xc27dd91c,
+    (q31_t)0x2e44e084, (q31_t)0xc281532e, (q31_t)0x2e38cdcb, (q31_t)0xc284cf9f,
+    (q31_t)0x2e2cbbc1, (q31_t)0xc2884e6e, (q31_t)0x2e20aa67, (q31_t)0xc28bcf9c,
+    (q31_t)0x2e1499bd, (q31_t)0xc28f5329, (q31_t)0x2e0889c4, (q31_t)0xc292d914,
+    (q31_t)0x2dfc7a7c, (q31_t)0xc296615d, (q31_t)0x2df06be6, (q31_t)0xc299ec05,
+    (q31_t)0x2de45e03, (q31_t)0xc29d790a, (q31_t)0x2dd850d2, (q31_t)0xc2a1086d,
+    (q31_t)0x2dcc4454, (q31_t)0xc2a49a2e, (q31_t)0x2dc0388a, (q31_t)0xc2a82e4d,
+    (q31_t)0x2db42d74, (q31_t)0xc2abc4c9, (q31_t)0x2da82313, (q31_t)0xc2af5da2,
+    (q31_t)0x2d9c1967, (q31_t)0xc2b2f8d8, (q31_t)0x2d901070, (q31_t)0xc2b6966c,
+    (q31_t)0x2d84082f, (q31_t)0xc2ba365c, (q31_t)0x2d7800a5, (q31_t)0xc2bdd8a9,
+    (q31_t)0x2d6bf9d1, (q31_t)0xc2c17d52, (q31_t)0x2d5ff3b5, (q31_t)0xc2c52459,
+    (q31_t)0x2d53ee51, (q31_t)0xc2c8cdbb, (q31_t)0x2d47e9a5, (q31_t)0xc2cc7979,
+    (q31_t)0x2d3be5b1, (q31_t)0xc2d02794, (q31_t)0x2d2fe277, (q31_t)0xc2d3d80a,
+    (q31_t)0x2d23dff7, (q31_t)0xc2d78add, (q31_t)0x2d17de31, (q31_t)0xc2db400a,
+    (q31_t)0x2d0bdd25, (q31_t)0xc2def794, (q31_t)0x2cffdcd4, (q31_t)0xc2e2b178,
+    (q31_t)0x2cf3dd3f, (q31_t)0xc2e66db8, (q31_t)0x2ce7de66, (q31_t)0xc2ea2c53,
+    (q31_t)0x2cdbe04a, (q31_t)0xc2eded49, (q31_t)0x2ccfe2ea, (q31_t)0xc2f1b099,
+    (q31_t)0x2cc3e648, (q31_t)0xc2f57644, (q31_t)0x2cb7ea63, (q31_t)0xc2f93e4a,
+    (q31_t)0x2cabef3d, (q31_t)0xc2fd08a9, (q31_t)0x2c9ff4d6, (q31_t)0xc300d563,
+    (q31_t)0x2c93fb2e, (q31_t)0xc304a477, (q31_t)0x2c880245, (q31_t)0xc30875e5,
+    (q31_t)0x2c7c0a1d, (q31_t)0xc30c49ad, (q31_t)0x2c7012b5, (q31_t)0xc3101fce,
+    (q31_t)0x2c641c0e, (q31_t)0xc313f848, (q31_t)0x2c582629, (q31_t)0xc317d31c,
+    (q31_t)0x2c4c3106, (q31_t)0xc31bb049, (q31_t)0x2c403ca5, (q31_t)0xc31f8fcf,
+    (q31_t)0x2c344908, (q31_t)0xc32371ae, (q31_t)0x2c28562d, (q31_t)0xc32755e5,
+    (q31_t)0x2c1c6417, (q31_t)0xc32b3c75, (q31_t)0x2c1072c4, (q31_t)0xc32f255e,
+    (q31_t)0x2c048237, (q31_t)0xc333109e, (q31_t)0x2bf8926f, (q31_t)0xc336fe37,
+    (q31_t)0x2beca36c, (q31_t)0xc33aee27, (q31_t)0x2be0b52f, (q31_t)0xc33ee070,
+    (q31_t)0x2bd4c7ba, (q31_t)0xc342d510, (q31_t)0x2bc8db0b, (q31_t)0xc346cc07,
+    (q31_t)0x2bbcef23, (q31_t)0xc34ac556, (q31_t)0x2bb10404, (q31_t)0xc34ec0fc,
+    (q31_t)0x2ba519ad, (q31_t)0xc352bef9, (q31_t)0x2b99301f, (q31_t)0xc356bf4d,
+    (q31_t)0x2b8d475b, (q31_t)0xc35ac1f7, (q31_t)0x2b815f60, (q31_t)0xc35ec6f8,
+    (q31_t)0x2b75782f, (q31_t)0xc362ce50, (q31_t)0x2b6991ca, (q31_t)0xc366d7fd,
+    (q31_t)0x2b5dac2f, (q31_t)0xc36ae401, (q31_t)0x2b51c760, (q31_t)0xc36ef25b,
+    (q31_t)0x2b45e35d, (q31_t)0xc373030a, (q31_t)0x2b3a0027, (q31_t)0xc377160f,
+    (q31_t)0x2b2e1dbe, (q31_t)0xc37b2b6a, (q31_t)0x2b223c22, (q31_t)0xc37f4319,
+    (q31_t)0x2b165b54, (q31_t)0xc3835d1e, (q31_t)0x2b0a7b54, (q31_t)0xc3877978,
+    (q31_t)0x2afe9c24, (q31_t)0xc38b9827, (q31_t)0x2af2bdc3, (q31_t)0xc38fb92a,
+    (q31_t)0x2ae6e031, (q31_t)0xc393dc82, (q31_t)0x2adb0370, (q31_t)0xc398022f,
+    (q31_t)0x2acf277f, (q31_t)0xc39c2a2f, (q31_t)0x2ac34c60, (q31_t)0xc3a05484,
+    (q31_t)0x2ab77212, (q31_t)0xc3a4812c, (q31_t)0x2aab9896, (q31_t)0xc3a8b028,
+    (q31_t)0x2a9fbfed, (q31_t)0xc3ace178, (q31_t)0x2a93e817, (q31_t)0xc3b1151b,
+    (q31_t)0x2a881114, (q31_t)0xc3b54b11, (q31_t)0x2a7c3ae5, (q31_t)0xc3b9835a,
+    (q31_t)0x2a70658a, (q31_t)0xc3bdbdf6, (q31_t)0x2a649105, (q31_t)0xc3c1fae5,
+    (q31_t)0x2a58bd54, (q31_t)0xc3c63a26, (q31_t)0x2a4cea79, (q31_t)0xc3ca7bba,
+    (q31_t)0x2a411874, (q31_t)0xc3cebfa0, (q31_t)0x2a354746, (q31_t)0xc3d305d8,
+    (q31_t)0x2a2976ef, (q31_t)0xc3d74e62, (q31_t)0x2a1da770, (q31_t)0xc3db993e,
+    (q31_t)0x2a11d8c8, (q31_t)0xc3dfe66c, (q31_t)0x2a060af9, (q31_t)0xc3e435ea,
+    (q31_t)0x29fa3e03, (q31_t)0xc3e887bb, (q31_t)0x29ee71e6, (q31_t)0xc3ecdbdc,
+    (q31_t)0x29e2a6a3, (q31_t)0xc3f1324e, (q31_t)0x29d6dc3b, (q31_t)0xc3f58b10,
+    (q31_t)0x29cb12ad, (q31_t)0xc3f9e624, (q31_t)0x29bf49fa, (q31_t)0xc3fe4388,
+    (q31_t)0x29b38223, (q31_t)0xc402a33c, (q31_t)0x29a7bb28, (q31_t)0xc4070540,
+    (q31_t)0x299bf509, (q31_t)0xc40b6994, (q31_t)0x29902fc7, (q31_t)0xc40fd037,
+    (q31_t)0x29846b63, (q31_t)0xc414392b, (q31_t)0x2978a7dd, (q31_t)0xc418a46d,
+    (q31_t)0x296ce535, (q31_t)0xc41d11ff, (q31_t)0x2961236c, (q31_t)0xc42181e0,
+    (q31_t)0x29556282, (q31_t)0xc425f410, (q31_t)0x2949a278, (q31_t)0xc42a688f,
+    (q31_t)0x293de34e, (q31_t)0xc42edf5c, (q31_t)0x29322505, (q31_t)0xc4335877,
+    (q31_t)0x2926679c, (q31_t)0xc437d3e1, (q31_t)0x291aab16, (q31_t)0xc43c5199,
+    (q31_t)0x290eef71, (q31_t)0xc440d19e, (q31_t)0x290334af, (q31_t)0xc44553f2,
+    (q31_t)0x28f77acf, (q31_t)0xc449d892, (q31_t)0x28ebc1d3, (q31_t)0xc44e5f80,
+    (q31_t)0x28e009ba, (q31_t)0xc452e8bc, (q31_t)0x28d45286, (q31_t)0xc4577444,
+    (q31_t)0x28c89c37, (q31_t)0xc45c0219, (q31_t)0x28bce6cd, (q31_t)0xc460923b,
+    (q31_t)0x28b13248, (q31_t)0xc46524a9, (q31_t)0x28a57ea9, (q31_t)0xc469b963,
+    (q31_t)0x2899cbf1, (q31_t)0xc46e5069, (q31_t)0x288e1a20, (q31_t)0xc472e9bc,
+    (q31_t)0x28826936, (q31_t)0xc477855a, (q31_t)0x2876b934, (q31_t)0xc47c2344,
+    (q31_t)0x286b0a1a, (q31_t)0xc480c379, (q31_t)0x285f5be9, (q31_t)0xc48565f9,
+    (q31_t)0x2853aea1, (q31_t)0xc48a0ac4, (q31_t)0x28480243, (q31_t)0xc48eb1db,
+    (q31_t)0x283c56cf, (q31_t)0xc4935b3c, (q31_t)0x2830ac45, (q31_t)0xc49806e7,
+    (q31_t)0x282502a7, (q31_t)0xc49cb4dd, (q31_t)0x281959f4, (q31_t)0xc4a1651c,
+    (q31_t)0x280db22d, (q31_t)0xc4a617a6, (q31_t)0x28020b52, (q31_t)0xc4aacc7a,
+    (q31_t)0x27f66564, (q31_t)0xc4af8397, (q31_t)0x27eac063, (q31_t)0xc4b43cfd,
+    (q31_t)0x27df1c50, (q31_t)0xc4b8f8ad, (q31_t)0x27d3792b, (q31_t)0xc4bdb6a6,
+    (q31_t)0x27c7d6f4, (q31_t)0xc4c276e8, (q31_t)0x27bc35ad, (q31_t)0xc4c73972,
+    (q31_t)0x27b09555, (q31_t)0xc4cbfe45, (q31_t)0x27a4f5ed, (q31_t)0xc4d0c560,
+    (q31_t)0x27995776, (q31_t)0xc4d58ec3, (q31_t)0x278db9ef, (q31_t)0xc4da5a6f,
+    (q31_t)0x27821d59, (q31_t)0xc4df2862, (q31_t)0x277681b6, (q31_t)0xc4e3f89c,
+    (q31_t)0x276ae704, (q31_t)0xc4e8cb1e, (q31_t)0x275f4d45, (q31_t)0xc4ed9fe7,
+    (q31_t)0x2753b479, (q31_t)0xc4f276f7, (q31_t)0x27481ca1, (q31_t)0xc4f7504e,
+    (q31_t)0x273c85bc, (q31_t)0xc4fc2bec, (q31_t)0x2730efcc, (q31_t)0xc50109d0,
+    (q31_t)0x27255ad1, (q31_t)0xc505e9fb, (q31_t)0x2719c6cb, (q31_t)0xc50acc6b,
+    (q31_t)0x270e33bb, (q31_t)0xc50fb121, (q31_t)0x2702a1a1, (q31_t)0xc514981d,
+    (q31_t)0x26f7107e, (q31_t)0xc519815f, (q31_t)0x26eb8052, (q31_t)0xc51e6ce6,
+    (q31_t)0x26dff11d, (q31_t)0xc5235ab2, (q31_t)0x26d462e1, (q31_t)0xc5284ac3,
+    (q31_t)0x26c8d59c, (q31_t)0xc52d3d18, (q31_t)0x26bd4951, (q31_t)0xc53231b3,
+    (q31_t)0x26b1bdff, (q31_t)0xc5372891, (q31_t)0x26a633a6, (q31_t)0xc53c21b4,
+    (q31_t)0x269aaa48, (q31_t)0xc5411d1b, (q31_t)0x268f21e5, (q31_t)0xc5461ac6,
+    (q31_t)0x26839a7c, (q31_t)0xc54b1ab4, (q31_t)0x26781410, (q31_t)0xc5501ce5,
+    (q31_t)0x266c8e9f, (q31_t)0xc555215a, (q31_t)0x26610a2a, (q31_t)0xc55a2812,
+    (q31_t)0x265586b3, (q31_t)0xc55f310d, (q31_t)0x264a0438, (q31_t)0xc5643c4a,
+    (q31_t)0x263e82bc, (q31_t)0xc56949ca, (q31_t)0x2633023e, (q31_t)0xc56e598c,
+    (q31_t)0x262782be, (q31_t)0xc5736b90, (q31_t)0x261c043d, (q31_t)0xc5787fd6,
+    (q31_t)0x261086bc, (q31_t)0xc57d965d, (q31_t)0x26050a3b, (q31_t)0xc582af26,
+    (q31_t)0x25f98ebb, (q31_t)0xc587ca31, (q31_t)0x25ee143b, (q31_t)0xc58ce77c,
+    (q31_t)0x25e29abc, (q31_t)0xc5920708, (q31_t)0x25d72240, (q31_t)0xc59728d5,
+    (q31_t)0x25cbaac5, (q31_t)0xc59c4ce3, (q31_t)0x25c0344d, (q31_t)0xc5a17330,
+    (q31_t)0x25b4bed8, (q31_t)0xc5a69bbe, (q31_t)0x25a94a67, (q31_t)0xc5abc68c,
+    (q31_t)0x259dd6f9, (q31_t)0xc5b0f399, (q31_t)0x25926490, (q31_t)0xc5b622e6,
+    (q31_t)0x2586f32c, (q31_t)0xc5bb5472, (q31_t)0x257b82cd, (q31_t)0xc5c0883d,
+    (q31_t)0x25701374, (q31_t)0xc5c5be47, (q31_t)0x2564a521, (q31_t)0xc5caf690,
+    (q31_t)0x255937d5, (q31_t)0xc5d03118, (q31_t)0x254dcb8f, (q31_t)0xc5d56ddd,
+    (q31_t)0x25426051, (q31_t)0xc5daace1, (q31_t)0x2536f61b, (q31_t)0xc5dfee22,
+    (q31_t)0x252b8cee, (q31_t)0xc5e531a1, (q31_t)0x252024c9, (q31_t)0xc5ea775e,
+    (q31_t)0x2514bdad, (q31_t)0xc5efbf58, (q31_t)0x2509579b, (q31_t)0xc5f5098f,
+    (q31_t)0x24fdf294, (q31_t)0xc5fa5603, (q31_t)0x24f28e96, (q31_t)0xc5ffa4b3,
+    (q31_t)0x24e72ba4, (q31_t)0xc604f5a0, (q31_t)0x24dbc9bd, (q31_t)0xc60a48c9,
+    (q31_t)0x24d068e2, (q31_t)0xc60f9e2e, (q31_t)0x24c50914, (q31_t)0xc614f5cf,
+    (q31_t)0x24b9aa52, (q31_t)0xc61a4fac, (q31_t)0x24ae4c9d, (q31_t)0xc61fabc4,
+    (q31_t)0x24a2eff6, (q31_t)0xc6250a18, (q31_t)0x2497945d, (q31_t)0xc62a6aa6,
+    (q31_t)0x248c39d3, (q31_t)0xc62fcd6f, (q31_t)0x2480e057, (q31_t)0xc6353273,
+    (q31_t)0x247587eb, (q31_t)0xc63a99b1, (q31_t)0x246a308f, (q31_t)0xc6400329,
+    (q31_t)0x245eda43, (q31_t)0xc6456edb, (q31_t)0x24538507, (q31_t)0xc64adcc7,
+    (q31_t)0x244830dd, (q31_t)0xc6504ced, (q31_t)0x243cddc4, (q31_t)0xc655bf4c,
+    (q31_t)0x24318bbe, (q31_t)0xc65b33e4, (q31_t)0x24263ac9, (q31_t)0xc660aab5,
+    (q31_t)0x241aeae8, (q31_t)0xc66623be, (q31_t)0x240f9c1a, (q31_t)0xc66b9f01,
+    (q31_t)0x24044e60, (q31_t)0xc6711c7b, (q31_t)0x23f901ba, (q31_t)0xc6769c2e,
+    (q31_t)0x23edb628, (q31_t)0xc67c1e18, (q31_t)0x23e26bac, (q31_t)0xc681a23a,
+    (q31_t)0x23d72245, (q31_t)0xc6872894, (q31_t)0x23cbd9f4, (q31_t)0xc68cb124,
+    (q31_t)0x23c092b9, (q31_t)0xc6923bec, (q31_t)0x23b54c95, (q31_t)0xc697c8eb,
+    (q31_t)0x23aa0788, (q31_t)0xc69d5820, (q31_t)0x239ec393, (q31_t)0xc6a2e98b,
+    (q31_t)0x239380b6, (q31_t)0xc6a87d2d, (q31_t)0x23883ef2, (q31_t)0xc6ae1304,
+    (q31_t)0x237cfe47, (q31_t)0xc6b3ab12, (q31_t)0x2371beb5, (q31_t)0xc6b94554,
+    (q31_t)0x2366803c, (q31_t)0xc6bee1cd, (q31_t)0x235b42df, (q31_t)0xc6c4807a,
+    (q31_t)0x2350069b, (q31_t)0xc6ca215c, (q31_t)0x2344cb73, (q31_t)0xc6cfc472,
+    (q31_t)0x23399167, (q31_t)0xc6d569be, (q31_t)0x232e5876, (q31_t)0xc6db113d,
+    (q31_t)0x232320a2, (q31_t)0xc6e0baf0, (q31_t)0x2317e9eb, (q31_t)0xc6e666d7,
+    (q31_t)0x230cb451, (q31_t)0xc6ec14f2, (q31_t)0x23017fd5, (q31_t)0xc6f1c540,
+    (q31_t)0x22f64c77, (q31_t)0xc6f777c1, (q31_t)0x22eb1a37, (q31_t)0xc6fd2c75,
+    (q31_t)0x22dfe917, (q31_t)0xc702e35c, (q31_t)0x22d4b916, (q31_t)0xc7089c75,
+    (q31_t)0x22c98a35, (q31_t)0xc70e57c0, (q31_t)0x22be5c74, (q31_t)0xc714153e,
+    (q31_t)0x22b32fd4, (q31_t)0xc719d4ed, (q31_t)0x22a80456, (q31_t)0xc71f96ce,
+    (q31_t)0x229cd9f8, (q31_t)0xc7255ae0, (q31_t)0x2291b0bd, (q31_t)0xc72b2123,
+    (q31_t)0x228688a4, (q31_t)0xc730e997, (q31_t)0x227b61af, (q31_t)0xc736b43c,
+    (q31_t)0x22703bdc, (q31_t)0xc73c8111, (q31_t)0x2265172e, (q31_t)0xc7425016,
+    (q31_t)0x2259f3a3, (q31_t)0xc748214c, (q31_t)0x224ed13d, (q31_t)0xc74df4b1,
+    (q31_t)0x2243affc, (q31_t)0xc753ca46, (q31_t)0x22388fe1, (q31_t)0xc759a20a,
+    (q31_t)0x222d70eb, (q31_t)0xc75f7bfe, (q31_t)0x2222531c, (q31_t)0xc7655820,
+    (q31_t)0x22173674, (q31_t)0xc76b3671, (q31_t)0x220c1af3, (q31_t)0xc77116f0,
+    (q31_t)0x22010099, (q31_t)0xc776f99d, (q31_t)0x21f5e768, (q31_t)0xc77cde79,
+    (q31_t)0x21eacf5f, (q31_t)0xc782c582, (q31_t)0x21dfb87f, (q31_t)0xc788aeb9,
+    (q31_t)0x21d4a2c8, (q31_t)0xc78e9a1d, (q31_t)0x21c98e3b, (q31_t)0xc79487ae,
+    (q31_t)0x21be7ad8, (q31_t)0xc79a776c, (q31_t)0x21b368a0, (q31_t)0xc7a06957,
+    (q31_t)0x21a85793, (q31_t)0xc7a65d6e, (q31_t)0x219d47b1, (q31_t)0xc7ac53b1,
+    (q31_t)0x219238fb, (q31_t)0xc7b24c20, (q31_t)0x21872b72, (q31_t)0xc7b846ba,
+    (q31_t)0x217c1f15, (q31_t)0xc7be4381, (q31_t)0x217113e5, (q31_t)0xc7c44272,
+    (q31_t)0x216609e3, (q31_t)0xc7ca438f, (q31_t)0x215b0110, (q31_t)0xc7d046d6,
+    (q31_t)0x214ff96a, (q31_t)0xc7d64c47, (q31_t)0x2144f2f3, (q31_t)0xc7dc53e3,
+    (q31_t)0x2139edac, (q31_t)0xc7e25daa, (q31_t)0x212ee995, (q31_t)0xc7e8699a,
+    (q31_t)0x2123e6ad, (q31_t)0xc7ee77b3, (q31_t)0x2118e4f6, (q31_t)0xc7f487f6,
+    (q31_t)0x210de470, (q31_t)0xc7fa9a62, (q31_t)0x2102e51c, (q31_t)0xc800aef7,
+    (q31_t)0x20f7e6f9, (q31_t)0xc806c5b5, (q31_t)0x20ecea09, (q31_t)0xc80cde9b,
+    (q31_t)0x20e1ee4b, (q31_t)0xc812f9a9, (q31_t)0x20d6f3c1, (q31_t)0xc81916df,
+    (q31_t)0x20cbfa6a, (q31_t)0xc81f363d, (q31_t)0x20c10247, (q31_t)0xc82557c3,
+    (q31_t)0x20b60b58, (q31_t)0xc82b7b70, (q31_t)0x20ab159e, (q31_t)0xc831a143,
+    (q31_t)0x20a0211a, (q31_t)0xc837c93e, (q31_t)0x20952dcb, (q31_t)0xc83df35f,
+    (q31_t)0x208a3bb2, (q31_t)0xc8441fa6, (q31_t)0x207f4acf, (q31_t)0xc84a4e14,
+    (q31_t)0x20745b24, (q31_t)0xc8507ea7, (q31_t)0x20696cb0, (q31_t)0xc856b160,
+    (q31_t)0x205e7f74, (q31_t)0xc85ce63e, (q31_t)0x2053936f, (q31_t)0xc8631d42,
+    (q31_t)0x2048a8a4, (q31_t)0xc869566a, (q31_t)0x203dbf11, (q31_t)0xc86f91b7,
+    (q31_t)0x2032d6b8, (q31_t)0xc875cf28, (q31_t)0x2027ef99, (q31_t)0xc87c0ebd,
+    (q31_t)0x201d09b4, (q31_t)0xc8825077, (q31_t)0x2012250a, (q31_t)0xc8889454,
+    (q31_t)0x2007419b, (q31_t)0xc88eda54, (q31_t)0x1ffc5f67, (q31_t)0xc8952278,
+    (q31_t)0x1ff17e70, (q31_t)0xc89b6cbf, (q31_t)0x1fe69eb4, (q31_t)0xc8a1b928,
+    (q31_t)0x1fdbc036, (q31_t)0xc8a807b4, (q31_t)0x1fd0e2f5, (q31_t)0xc8ae5862,
+    (q31_t)0x1fc606f1, (q31_t)0xc8b4ab32, (q31_t)0x1fbb2c2c, (q31_t)0xc8bb0023,
+    (q31_t)0x1fb052a5, (q31_t)0xc8c15736, (q31_t)0x1fa57a5d, (q31_t)0xc8c7b06b,
+    (q31_t)0x1f9aa354, (q31_t)0xc8ce0bc0, (q31_t)0x1f8fcd8b, (q31_t)0xc8d46936,
+    (q31_t)0x1f84f902, (q31_t)0xc8dac8cd, (q31_t)0x1f7a25ba, (q31_t)0xc8e12a84,
+    (q31_t)0x1f6f53b3, (q31_t)0xc8e78e5b, (q31_t)0x1f6482ed, (q31_t)0xc8edf452,
+    (q31_t)0x1f59b369, (q31_t)0xc8f45c68, (q31_t)0x1f4ee527, (q31_t)0xc8fac69e,
+    (q31_t)0x1f441828, (q31_t)0xc90132f2, (q31_t)0x1f394c6b, (q31_t)0xc907a166,
+    (q31_t)0x1f2e81f3, (q31_t)0xc90e11f7, (q31_t)0x1f23b8be, (q31_t)0xc91484a8,
+    (q31_t)0x1f18f0ce, (q31_t)0xc91af976, (q31_t)0x1f0e2a22, (q31_t)0xc9217062,
+    (q31_t)0x1f0364bc, (q31_t)0xc927e96b, (q31_t)0x1ef8a09b, (q31_t)0xc92e6492,
+    (q31_t)0x1eedddc0, (q31_t)0xc934e1d6, (q31_t)0x1ee31c2b, (q31_t)0xc93b6137,
+    (q31_t)0x1ed85bdd, (q31_t)0xc941e2b4, (q31_t)0x1ecd9cd7, (q31_t)0xc948664d,
+    (q31_t)0x1ec2df18, (q31_t)0xc94eec03, (q31_t)0x1eb822a1, (q31_t)0xc95573d4,
+    (q31_t)0x1ead6773, (q31_t)0xc95bfdc1, (q31_t)0x1ea2ad8d, (q31_t)0xc96289c9,
+    (q31_t)0x1e97f4f1, (q31_t)0xc96917ec, (q31_t)0x1e8d3d9e, (q31_t)0xc96fa82a,
+    (q31_t)0x1e828796, (q31_t)0xc9763a83, (q31_t)0x1e77d2d8, (q31_t)0xc97ccef5,
+    (q31_t)0x1e6d1f65, (q31_t)0xc9836582, (q31_t)0x1e626d3e, (q31_t)0xc989fe29,
+    (q31_t)0x1e57bc62, (q31_t)0xc99098e9, (q31_t)0x1e4d0cd2, (q31_t)0xc99735c2,
+    (q31_t)0x1e425e8f, (q31_t)0xc99dd4b4, (q31_t)0x1e37b199, (q31_t)0xc9a475bf,
+    (q31_t)0x1e2d05f1, (q31_t)0xc9ab18e3, (q31_t)0x1e225b96, (q31_t)0xc9b1be1e,
+    (q31_t)0x1e17b28a, (q31_t)0xc9b86572, (q31_t)0x1e0d0acc, (q31_t)0xc9bf0edd,
+    (q31_t)0x1e02645d, (q31_t)0xc9c5ba60, (q31_t)0x1df7bf3e, (q31_t)0xc9cc67fa,
+    (q31_t)0x1ded1b6e, (q31_t)0xc9d317ab, (q31_t)0x1de278ef, (q31_t)0xc9d9c973,
+    (q31_t)0x1dd7d7c1, (q31_t)0xc9e07d51, (q31_t)0x1dcd37e4, (q31_t)0xc9e73346,
+    (q31_t)0x1dc29958, (q31_t)0xc9edeb50, (q31_t)0x1db7fc1e, (q31_t)0xc9f4a570,
+    (q31_t)0x1dad6036, (q31_t)0xc9fb61a5, (q31_t)0x1da2c5a2, (q31_t)0xca021fef,
+    (q31_t)0x1d982c60, (q31_t)0xca08e04f, (q31_t)0x1d8d9472, (q31_t)0xca0fa2c3,
+    (q31_t)0x1d82fdd8, (q31_t)0xca16674b, (q31_t)0x1d786892, (q31_t)0xca1d2de7,
+    (q31_t)0x1d6dd4a2, (q31_t)0xca23f698, (q31_t)0x1d634206, (q31_t)0xca2ac15b,
+    (q31_t)0x1d58b0c0, (q31_t)0xca318e32, (q31_t)0x1d4e20d0, (q31_t)0xca385d1d,
+    (q31_t)0x1d439236, (q31_t)0xca3f2e19, (q31_t)0x1d3904f4, (q31_t)0xca460129,
+    (q31_t)0x1d2e7908, (q31_t)0xca4cd64b, (q31_t)0x1d23ee74, (q31_t)0xca53ad7e,
+    (q31_t)0x1d196538, (q31_t)0xca5a86c4, (q31_t)0x1d0edd55, (q31_t)0xca61621b,
+    (q31_t)0x1d0456ca, (q31_t)0xca683f83, (q31_t)0x1cf9d199, (q31_t)0xca6f1efc,
+    (q31_t)0x1cef4dc2, (q31_t)0xca760086, (q31_t)0x1ce4cb44, (q31_t)0xca7ce420,
+    (q31_t)0x1cda4a21, (q31_t)0xca83c9ca, (q31_t)0x1ccfca59, (q31_t)0xca8ab184,
+    (q31_t)0x1cc54bec, (q31_t)0xca919b4e, (q31_t)0x1cbacedb, (q31_t)0xca988727,
+    (q31_t)0x1cb05326, (q31_t)0xca9f750f, (q31_t)0x1ca5d8cd, (q31_t)0xcaa66506,
+    (q31_t)0x1c9b5fd2, (q31_t)0xcaad570c, (q31_t)0x1c90e834, (q31_t)0xcab44b1f,
+    (q31_t)0x1c8671f3, (q31_t)0xcabb4141, (q31_t)0x1c7bfd11, (q31_t)0xcac23971,
+    (q31_t)0x1c71898d, (q31_t)0xcac933ae, (q31_t)0x1c671768, (q31_t)0xcad02ff8,
+    (q31_t)0x1c5ca6a2, (q31_t)0xcad72e4f, (q31_t)0x1c52373c, (q31_t)0xcade2eb3,
+    (q31_t)0x1c47c936, (q31_t)0xcae53123, (q31_t)0x1c3d5c91, (q31_t)0xcaec35a0,
+    (q31_t)0x1c32f14d, (q31_t)0xcaf33c28, (q31_t)0x1c28876a, (q31_t)0xcafa44bc,
+    (q31_t)0x1c1e1ee9, (q31_t)0xcb014f5b, (q31_t)0x1c13b7c9, (q31_t)0xcb085c05,
+    (q31_t)0x1c09520d, (q31_t)0xcb0f6aba, (q31_t)0x1bfeedb3, (q31_t)0xcb167b79,
+    (q31_t)0x1bf48abd, (q31_t)0xcb1d8e43, (q31_t)0x1bea292b, (q31_t)0xcb24a316,
+    (q31_t)0x1bdfc8fc, (q31_t)0xcb2bb9f4, (q31_t)0x1bd56a32, (q31_t)0xcb32d2da,
+    (q31_t)0x1bcb0cce, (q31_t)0xcb39edca, (q31_t)0x1bc0b0ce, (q31_t)0xcb410ac3,
+    (q31_t)0x1bb65634, (q31_t)0xcb4829c4, (q31_t)0x1babfd01, (q31_t)0xcb4f4acd,
+    (q31_t)0x1ba1a534, (q31_t)0xcb566ddf, (q31_t)0x1b974ece, (q31_t)0xcb5d92f8,
+    (q31_t)0x1b8cf9cf, (q31_t)0xcb64ba19, (q31_t)0x1b82a638, (q31_t)0xcb6be341,
+    (q31_t)0x1b785409, (q31_t)0xcb730e70, (q31_t)0x1b6e0342, (q31_t)0xcb7a3ba5,
+    (q31_t)0x1b63b3e5, (q31_t)0xcb816ae1, (q31_t)0x1b5965f1, (q31_t)0xcb889c23,
+    (q31_t)0x1b4f1967, (q31_t)0xcb8fcf6b, (q31_t)0x1b44ce46, (q31_t)0xcb9704b9,
+    (q31_t)0x1b3a8491, (q31_t)0xcb9e3c0b, (q31_t)0x1b303c46, (q31_t)0xcba57563,
+    (q31_t)0x1b25f566, (q31_t)0xcbacb0bf, (q31_t)0x1b1baff2, (q31_t)0xcbb3ee20,
+    (q31_t)0x1b116beb, (q31_t)0xcbbb2d85, (q31_t)0x1b072950, (q31_t)0xcbc26eee,
+    (q31_t)0x1afce821, (q31_t)0xcbc9b25a, (q31_t)0x1af2a860, (q31_t)0xcbd0f7ca,
+    (q31_t)0x1ae86a0d, (q31_t)0xcbd83f3d, (q31_t)0x1ade2d28, (q31_t)0xcbdf88b3,
+    (q31_t)0x1ad3f1b1, (q31_t)0xcbe6d42b, (q31_t)0x1ac9b7a9, (q31_t)0xcbee21a5,
+    (q31_t)0x1abf7f11, (q31_t)0xcbf57121, (q31_t)0x1ab547e8, (q31_t)0xcbfcc29f,
+    (q31_t)0x1aab122f, (q31_t)0xcc04161e, (q31_t)0x1aa0dde7, (q31_t)0xcc0b6b9e,
+    (q31_t)0x1a96ab0f, (q31_t)0xcc12c31f, (q31_t)0x1a8c79a9, (q31_t)0xcc1a1ca0,
+    (q31_t)0x1a8249b4, (q31_t)0xcc217822, (q31_t)0x1a781b31, (q31_t)0xcc28d5a3,
+    (q31_t)0x1a6dee21, (q31_t)0xcc303524, (q31_t)0x1a63c284, (q31_t)0xcc3796a5,
+    (q31_t)0x1a599859, (q31_t)0xcc3efa25, (q31_t)0x1a4f6fa3, (q31_t)0xcc465fa3,
+    (q31_t)0x1a454860, (q31_t)0xcc4dc720, (q31_t)0x1a3b2292, (q31_t)0xcc55309b,
+    (q31_t)0x1a30fe38, (q31_t)0xcc5c9c14, (q31_t)0x1a26db54, (q31_t)0xcc64098b,
+    (q31_t)0x1a1cb9e5, (q31_t)0xcc6b78ff, (q31_t)0x1a1299ec, (q31_t)0xcc72ea70,
+    (q31_t)0x1a087b69, (q31_t)0xcc7a5dde, (q31_t)0x19fe5e5e, (q31_t)0xcc81d349,
+    (q31_t)0x19f442c9, (q31_t)0xcc894aaf, (q31_t)0x19ea28ac, (q31_t)0xcc90c412,
+    (q31_t)0x19e01006, (q31_t)0xcc983f70, (q31_t)0x19d5f8d9, (q31_t)0xcc9fbcca,
+    (q31_t)0x19cbe325, (q31_t)0xcca73c1e, (q31_t)0x19c1cee9, (q31_t)0xccaebd6e,
+    (q31_t)0x19b7bc27, (q31_t)0xccb640b8, (q31_t)0x19adaadf, (q31_t)0xccbdc5fc,
+    (q31_t)0x19a39b11, (q31_t)0xccc54d3a, (q31_t)0x19998cbe, (q31_t)0xccccd671,
+    (q31_t)0x198f7fe6, (q31_t)0xccd461a2, (q31_t)0x19857489, (q31_t)0xccdbeecc,
+    (q31_t)0x197b6aa8, (q31_t)0xcce37def, (q31_t)0x19716243, (q31_t)0xcceb0f0a,
+    (q31_t)0x19675b5a, (q31_t)0xccf2a21d, (q31_t)0x195d55ef, (q31_t)0xccfa3729,
+    (q31_t)0x19535201, (q31_t)0xcd01ce2b, (q31_t)0x19494f90, (q31_t)0xcd096725,
+    (q31_t)0x193f4e9e, (q31_t)0xcd110216, (q31_t)0x19354f2a, (q31_t)0xcd189efe,
+    (q31_t)0x192b5135, (q31_t)0xcd203ddc, (q31_t)0x192154bf, (q31_t)0xcd27deb0,
+    (q31_t)0x191759c9, (q31_t)0xcd2f817b, (q31_t)0x190d6053, (q31_t)0xcd37263a,
+    (q31_t)0x1903685d, (q31_t)0xcd3eccef, (q31_t)0x18f971e8, (q31_t)0xcd467599,
+    (q31_t)0x18ef7cf4, (q31_t)0xcd4e2037, (q31_t)0x18e58982, (q31_t)0xcd55ccca,
+    (q31_t)0x18db9792, (q31_t)0xcd5d7b50, (q31_t)0x18d1a724, (q31_t)0xcd652bcb,
+    (q31_t)0x18c7b838, (q31_t)0xcd6cde39, (q31_t)0x18bdcad0, (q31_t)0xcd74929a,
+    (q31_t)0x18b3deeb, (q31_t)0xcd7c48ee, (q31_t)0x18a9f48a, (q31_t)0xcd840134,
+    (q31_t)0x18a00bae, (q31_t)0xcd8bbb6d, (q31_t)0x18962456, (q31_t)0xcd937798,
+    (q31_t)0x188c3e83, (q31_t)0xcd9b35b4, (q31_t)0x18825a35, (q31_t)0xcda2f5c2,
+    (q31_t)0x1878776d, (q31_t)0xcdaab7c0, (q31_t)0x186e962b, (q31_t)0xcdb27bb0,
+    (q31_t)0x1864b670, (q31_t)0xcdba4190, (q31_t)0x185ad83c, (q31_t)0xcdc20960,
+    (q31_t)0x1850fb8e, (q31_t)0xcdc9d320, (q31_t)0x18472069, (q31_t)0xcdd19ed0,
+    (q31_t)0x183d46cc, (q31_t)0xcdd96c6f, (q31_t)0x18336eb7, (q31_t)0xcde13bfd,
+    (q31_t)0x1829982b, (q31_t)0xcde90d79, (q31_t)0x181fc328, (q31_t)0xcdf0e0e4,
+    (q31_t)0x1815efae, (q31_t)0xcdf8b63d, (q31_t)0x180c1dbf, (q31_t)0xce008d84,
+    (q31_t)0x18024d59, (q31_t)0xce0866b8, (q31_t)0x17f87e7f, (q31_t)0xce1041d9,
+    (q31_t)0x17eeb130, (q31_t)0xce181ee8, (q31_t)0x17e4e56c, (q31_t)0xce1ffde2,
+    (q31_t)0x17db1b34, (q31_t)0xce27dec9, (q31_t)0x17d15288, (q31_t)0xce2fc19c,
+    (q31_t)0x17c78b68, (q31_t)0xce37a65b, (q31_t)0x17bdc5d6, (q31_t)0xce3f8d05,
+    (q31_t)0x17b401d1, (q31_t)0xce47759a, (q31_t)0x17aa3f5a, (q31_t)0xce4f6019,
+    (q31_t)0x17a07e70, (q31_t)0xce574c84, (q31_t)0x1796bf16, (q31_t)0xce5f3ad8,
+    (q31_t)0x178d014a, (q31_t)0xce672b16, (q31_t)0x1783450d, (q31_t)0xce6f1d3d,
+    (q31_t)0x17798a60, (q31_t)0xce77114e, (q31_t)0x176fd143, (q31_t)0xce7f0748,
+    (q31_t)0x176619b6, (q31_t)0xce86ff2a, (q31_t)0x175c63ba, (q31_t)0xce8ef8f4,
+    (q31_t)0x1752af4f, (q31_t)0xce96f4a7, (q31_t)0x1748fc75, (q31_t)0xce9ef241,
+    (q31_t)0x173f4b2e, (q31_t)0xcea6f1c2, (q31_t)0x17359b78, (q31_t)0xceaef32b,
+    (q31_t)0x172bed55, (q31_t)0xceb6f67a, (q31_t)0x172240c5, (q31_t)0xcebefbb0,
+    (q31_t)0x171895c9, (q31_t)0xcec702cb, (q31_t)0x170eec60, (q31_t)0xcecf0bcd,
+    (q31_t)0x1705448b, (q31_t)0xced716b4, (q31_t)0x16fb9e4b, (q31_t)0xcedf2380,
+    (q31_t)0x16f1f99f, (q31_t)0xcee73231, (q31_t)0x16e85689, (q31_t)0xceef42c7,
+    (q31_t)0x16deb508, (q31_t)0xcef75541, (q31_t)0x16d5151d, (q31_t)0xceff699f,
+    (q31_t)0x16cb76c9, (q31_t)0xcf077fe1, (q31_t)0x16c1da0b, (q31_t)0xcf0f9805,
+    (q31_t)0x16b83ee4, (q31_t)0xcf17b20d, (q31_t)0x16aea555, (q31_t)0xcf1fcdf8,
+    (q31_t)0x16a50d5d, (q31_t)0xcf27ebc5, (q31_t)0x169b76fe, (q31_t)0xcf300b74,
+    (q31_t)0x1691e237, (q31_t)0xcf382d05, (q31_t)0x16884f09, (q31_t)0xcf405077,
+    (q31_t)0x167ebd74, (q31_t)0xcf4875ca, (q31_t)0x16752d79, (q31_t)0xcf509cfe,
+    (q31_t)0x166b9f18, (q31_t)0xcf58c613, (q31_t)0x16621251, (q31_t)0xcf60f108,
+    (q31_t)0x16588725, (q31_t)0xcf691ddd, (q31_t)0x164efd94, (q31_t)0xcf714c91,
+    (q31_t)0x1645759f, (q31_t)0xcf797d24, (q31_t)0x163bef46, (q31_t)0xcf81af97,
+    (q31_t)0x16326a88, (q31_t)0xcf89e3e8, (q31_t)0x1628e767, (q31_t)0xcf921a17,
+    (q31_t)0x161f65e4, (q31_t)0xcf9a5225, (q31_t)0x1615e5fd, (q31_t)0xcfa28c10,
+    (q31_t)0x160c67b4, (q31_t)0xcfaac7d8, (q31_t)0x1602eb0a, (q31_t)0xcfb3057d,
+    (q31_t)0x15f96ffd, (q31_t)0xcfbb4500, (q31_t)0x15eff690, (q31_t)0xcfc3865e,
+    (q31_t)0x15e67ec1, (q31_t)0xcfcbc999, (q31_t)0x15dd0892, (q31_t)0xcfd40eaf,
+    (q31_t)0x15d39403, (q31_t)0xcfdc55a1, (q31_t)0x15ca2115, (q31_t)0xcfe49e6d,
+    (q31_t)0x15c0afc6, (q31_t)0xcfece915, (q31_t)0x15b74019, (q31_t)0xcff53597,
+    (q31_t)0x15add20d, (q31_t)0xcffd83f4, (q31_t)0x15a465a3, (q31_t)0xd005d42a,
+    (q31_t)0x159afadb, (q31_t)0xd00e2639, (q31_t)0x159191b5, (q31_t)0xd0167a22,
+    (q31_t)0x15882a32, (q31_t)0xd01ecfe4, (q31_t)0x157ec452, (q31_t)0xd027277e,
+    (q31_t)0x15756016, (q31_t)0xd02f80f1, (q31_t)0x156bfd7d, (q31_t)0xd037dc3b,
+    (q31_t)0x15629c89, (q31_t)0xd040395d, (q31_t)0x15593d3a, (q31_t)0xd0489856,
+    (q31_t)0x154fdf8f, (q31_t)0xd050f926, (q31_t)0x15468389, (q31_t)0xd0595bcd,
+    (q31_t)0x153d292a, (q31_t)0xd061c04a, (q31_t)0x1533d070, (q31_t)0xd06a269d,
+    (q31_t)0x152a795d, (q31_t)0xd0728ec6, (q31_t)0x152123f0, (q31_t)0xd07af8c4,
+    (q31_t)0x1517d02b, (q31_t)0xd0836497, (q31_t)0x150e7e0d, (q31_t)0xd08bd23f,
+    (q31_t)0x15052d97, (q31_t)0xd09441bb, (q31_t)0x14fbdec9, (q31_t)0xd09cb30b,
+    (q31_t)0x14f291a4, (q31_t)0xd0a5262f, (q31_t)0x14e94627, (q31_t)0xd0ad9b26,
+    (q31_t)0x14dffc54, (q31_t)0xd0b611f1, (q31_t)0x14d6b42b, (q31_t)0xd0be8a8d,
+    (q31_t)0x14cd6dab, (q31_t)0xd0c704fd, (q31_t)0x14c428d6, (q31_t)0xd0cf813e,
+    (q31_t)0x14bae5ab, (q31_t)0xd0d7ff51, (q31_t)0x14b1a42c, (q31_t)0xd0e07f36,
+    (q31_t)0x14a86458, (q31_t)0xd0e900ec, (q31_t)0x149f2630, (q31_t)0xd0f18472,
+    (q31_t)0x1495e9b3, (q31_t)0xd0fa09c9, (q31_t)0x148caee4, (q31_t)0xd10290f0,
+    (q31_t)0x148375c1, (q31_t)0xd10b19e7, (q31_t)0x147a3e4b, (q31_t)0xd113a4ad,
+    (q31_t)0x14710883, (q31_t)0xd11c3142, (q31_t)0x1467d469, (q31_t)0xd124bfa6,
+    (q31_t)0x145ea1fd, (q31_t)0xd12d4fd9, (q31_t)0x14557140, (q31_t)0xd135e1d9,
+    (q31_t)0x144c4232, (q31_t)0xd13e75a8, (q31_t)0x144314d3, (q31_t)0xd1470b44,
+    (q31_t)0x1439e923, (q31_t)0xd14fa2ad, (q31_t)0x1430bf24, (q31_t)0xd1583be2,
+    (q31_t)0x142796d5, (q31_t)0xd160d6e5, (q31_t)0x141e7037, (q31_t)0xd16973b3,
+    (q31_t)0x14154b4a, (q31_t)0xd172124d, (q31_t)0x140c280e, (q31_t)0xd17ab2b3,
+    (q31_t)0x14030684, (q31_t)0xd18354e4, (q31_t)0x13f9e6ad, (q31_t)0xd18bf8e0,
+    (q31_t)0x13f0c887, (q31_t)0xd1949ea6, (q31_t)0x13e7ac15, (q31_t)0xd19d4636,
+    (q31_t)0x13de9156, (q31_t)0xd1a5ef90, (q31_t)0x13d5784a, (q31_t)0xd1ae9ab4,
+    (q31_t)0x13cc60f2, (q31_t)0xd1b747a0, (q31_t)0x13c34b4f, (q31_t)0xd1bff656,
+    (q31_t)0x13ba3760, (q31_t)0xd1c8a6d4, (q31_t)0x13b12526, (q31_t)0xd1d1591a,
+    (q31_t)0x13a814a2, (q31_t)0xd1da0d28, (q31_t)0x139f05d3, (q31_t)0xd1e2c2fd,
+    (q31_t)0x1395f8ba, (q31_t)0xd1eb7a9a, (q31_t)0x138ced57, (q31_t)0xd1f433fd,
+    (q31_t)0x1383e3ab, (q31_t)0xd1fcef27, (q31_t)0x137adbb6, (q31_t)0xd205ac17,
+    (q31_t)0x1371d579, (q31_t)0xd20e6acc, (q31_t)0x1368d0f3, (q31_t)0xd2172b48,
+    (q31_t)0x135fce26, (q31_t)0xd21fed88, (q31_t)0x1356cd11, (q31_t)0xd228b18d,
+    (q31_t)0x134dcdb4, (q31_t)0xd2317756, (q31_t)0x1344d011, (q31_t)0xd23a3ee4,
+    (q31_t)0x133bd427, (q31_t)0xd2430835, (q31_t)0x1332d9f7, (q31_t)0xd24bd34a,
+    (q31_t)0x1329e181, (q31_t)0xd254a021, (q31_t)0x1320eac6, (q31_t)0xd25d6ebc,
+    (q31_t)0x1317f5c6, (q31_t)0xd2663f19, (q31_t)0x130f0280, (q31_t)0xd26f1138,
+    (q31_t)0x130610f7, (q31_t)0xd277e518, (q31_t)0x12fd2129, (q31_t)0xd280babb,
+    (q31_t)0x12f43318, (q31_t)0xd289921e, (q31_t)0x12eb46c3, (q31_t)0xd2926b41,
+    (q31_t)0x12e25c2b, (q31_t)0xd29b4626, (q31_t)0x12d97350, (q31_t)0xd2a422ca,
+    (q31_t)0x12d08c33, (q31_t)0xd2ad012e, (q31_t)0x12c7a6d4, (q31_t)0xd2b5e151,
+    (q31_t)0x12bec333, (q31_t)0xd2bec333, (q31_t)0x12b5e151, (q31_t)0xd2c7a6d4,
+    (q31_t)0x12ad012e, (q31_t)0xd2d08c33, (q31_t)0x12a422ca, (q31_t)0xd2d97350,
+    (q31_t)0x129b4626, (q31_t)0xd2e25c2b, (q31_t)0x12926b41, (q31_t)0xd2eb46c3,
+    (q31_t)0x1289921e, (q31_t)0xd2f43318, (q31_t)0x1280babb, (q31_t)0xd2fd2129,
+    (q31_t)0x1277e518, (q31_t)0xd30610f7, (q31_t)0x126f1138, (q31_t)0xd30f0280,
+    (q31_t)0x12663f19, (q31_t)0xd317f5c6, (q31_t)0x125d6ebc, (q31_t)0xd320eac6,
+    (q31_t)0x1254a021, (q31_t)0xd329e181, (q31_t)0x124bd34a, (q31_t)0xd332d9f7,
+    (q31_t)0x12430835, (q31_t)0xd33bd427, (q31_t)0x123a3ee4, (q31_t)0xd344d011,
+    (q31_t)0x12317756, (q31_t)0xd34dcdb4, (q31_t)0x1228b18d, (q31_t)0xd356cd11,
+    (q31_t)0x121fed88, (q31_t)0xd35fce26, (q31_t)0x12172b48, (q31_t)0xd368d0f3,
+    (q31_t)0x120e6acc, (q31_t)0xd371d579, (q31_t)0x1205ac17, (q31_t)0xd37adbb6,
+    (q31_t)0x11fcef27, (q31_t)0xd383e3ab, (q31_t)0x11f433fd, (q31_t)0xd38ced57,
+    (q31_t)0x11eb7a9a, (q31_t)0xd395f8ba, (q31_t)0x11e2c2fd, (q31_t)0xd39f05d3,
+    (q31_t)0x11da0d28, (q31_t)0xd3a814a2, (q31_t)0x11d1591a, (q31_t)0xd3b12526,
+    (q31_t)0x11c8a6d4, (q31_t)0xd3ba3760, (q31_t)0x11bff656, (q31_t)0xd3c34b4f,
+    (q31_t)0x11b747a0, (q31_t)0xd3cc60f2, (q31_t)0x11ae9ab4, (q31_t)0xd3d5784a,
+    (q31_t)0x11a5ef90, (q31_t)0xd3de9156, (q31_t)0x119d4636, (q31_t)0xd3e7ac15,
+    (q31_t)0x11949ea6, (q31_t)0xd3f0c887, (q31_t)0x118bf8e0, (q31_t)0xd3f9e6ad,
+    (q31_t)0x118354e4, (q31_t)0xd4030684, (q31_t)0x117ab2b3, (q31_t)0xd40c280e,
+    (q31_t)0x1172124d, (q31_t)0xd4154b4a, (q31_t)0x116973b3, (q31_t)0xd41e7037,
+    (q31_t)0x1160d6e5, (q31_t)0xd42796d5, (q31_t)0x11583be2, (q31_t)0xd430bf24,
+    (q31_t)0x114fa2ad, (q31_t)0xd439e923, (q31_t)0x11470b44, (q31_t)0xd44314d3,
+    (q31_t)0x113e75a8, (q31_t)0xd44c4232, (q31_t)0x1135e1d9, (q31_t)0xd4557140,
+    (q31_t)0x112d4fd9, (q31_t)0xd45ea1fd, (q31_t)0x1124bfa6, (q31_t)0xd467d469,
+    (q31_t)0x111c3142, (q31_t)0xd4710883, (q31_t)0x1113a4ad, (q31_t)0xd47a3e4b,
+    (q31_t)0x110b19e7, (q31_t)0xd48375c1, (q31_t)0x110290f0, (q31_t)0xd48caee4,
+    (q31_t)0x10fa09c9, (q31_t)0xd495e9b3, (q31_t)0x10f18472, (q31_t)0xd49f2630,
+    (q31_t)0x10e900ec, (q31_t)0xd4a86458, (q31_t)0x10e07f36, (q31_t)0xd4b1a42c,
+    (q31_t)0x10d7ff51, (q31_t)0xd4bae5ab, (q31_t)0x10cf813e, (q31_t)0xd4c428d6,
+    (q31_t)0x10c704fd, (q31_t)0xd4cd6dab, (q31_t)0x10be8a8d, (q31_t)0xd4d6b42b,
+    (q31_t)0x10b611f1, (q31_t)0xd4dffc54, (q31_t)0x10ad9b26, (q31_t)0xd4e94627,
+    (q31_t)0x10a5262f, (q31_t)0xd4f291a4, (q31_t)0x109cb30b, (q31_t)0xd4fbdec9,
+    (q31_t)0x109441bb, (q31_t)0xd5052d97, (q31_t)0x108bd23f, (q31_t)0xd50e7e0d,
+    (q31_t)0x10836497, (q31_t)0xd517d02b, (q31_t)0x107af8c4, (q31_t)0xd52123f0,
+    (q31_t)0x10728ec6, (q31_t)0xd52a795d, (q31_t)0x106a269d, (q31_t)0xd533d070,
+    (q31_t)0x1061c04a, (q31_t)0xd53d292a, (q31_t)0x10595bcd, (q31_t)0xd5468389,
+    (q31_t)0x1050f926, (q31_t)0xd54fdf8f, (q31_t)0x10489856, (q31_t)0xd5593d3a,
+    (q31_t)0x1040395d, (q31_t)0xd5629c89, (q31_t)0x1037dc3b, (q31_t)0xd56bfd7d,
+    (q31_t)0x102f80f1, (q31_t)0xd5756016, (q31_t)0x1027277e, (q31_t)0xd57ec452,
+    (q31_t)0x101ecfe4, (q31_t)0xd5882a32, (q31_t)0x10167a22, (q31_t)0xd59191b5,
+    (q31_t)0x100e2639, (q31_t)0xd59afadb, (q31_t)0x1005d42a, (q31_t)0xd5a465a3,
+    (q31_t)0xffd83f4, (q31_t)0xd5add20d, (q31_t)0xff53597, (q31_t)0xd5b74019,
+    (q31_t)0xfece915, (q31_t)0xd5c0afc6, (q31_t)0xfe49e6d, (q31_t)0xd5ca2115,
+    (q31_t)0xfdc55a1, (q31_t)0xd5d39403, (q31_t)0xfd40eaf, (q31_t)0xd5dd0892,
+    (q31_t)0xfcbc999, (q31_t)0xd5e67ec1, (q31_t)0xfc3865e, (q31_t)0xd5eff690,
+    (q31_t)0xfbb4500, (q31_t)0xd5f96ffd, (q31_t)0xfb3057d, (q31_t)0xd602eb0a,
+    (q31_t)0xfaac7d8, (q31_t)0xd60c67b4, (q31_t)0xfa28c10, (q31_t)0xd615e5fd,
+    (q31_t)0xf9a5225, (q31_t)0xd61f65e4, (q31_t)0xf921a17, (q31_t)0xd628e767,
+    (q31_t)0xf89e3e8, (q31_t)0xd6326a88, (q31_t)0xf81af97, (q31_t)0xd63bef46,
+    (q31_t)0xf797d24, (q31_t)0xd645759f, (q31_t)0xf714c91, (q31_t)0xd64efd94,
+    (q31_t)0xf691ddd, (q31_t)0xd6588725, (q31_t)0xf60f108, (q31_t)0xd6621251,
+    (q31_t)0xf58c613, (q31_t)0xd66b9f18, (q31_t)0xf509cfe, (q31_t)0xd6752d79,
+    (q31_t)0xf4875ca, (q31_t)0xd67ebd74, (q31_t)0xf405077, (q31_t)0xd6884f09,
+    (q31_t)0xf382d05, (q31_t)0xd691e237, (q31_t)0xf300b74, (q31_t)0xd69b76fe,
+    (q31_t)0xf27ebc5, (q31_t)0xd6a50d5d, (q31_t)0xf1fcdf8, (q31_t)0xd6aea555,
+    (q31_t)0xf17b20d, (q31_t)0xd6b83ee4, (q31_t)0xf0f9805, (q31_t)0xd6c1da0b,
+    (q31_t)0xf077fe1, (q31_t)0xd6cb76c9, (q31_t)0xeff699f, (q31_t)0xd6d5151d,
+    (q31_t)0xef75541, (q31_t)0xd6deb508, (q31_t)0xeef42c7, (q31_t)0xd6e85689,
+    (q31_t)0xee73231, (q31_t)0xd6f1f99f, (q31_t)0xedf2380, (q31_t)0xd6fb9e4b,
+    (q31_t)0xed716b4, (q31_t)0xd705448b, (q31_t)0xecf0bcd, (q31_t)0xd70eec60,
+    (q31_t)0xec702cb, (q31_t)0xd71895c9, (q31_t)0xebefbb0, (q31_t)0xd72240c5,
+    (q31_t)0xeb6f67a, (q31_t)0xd72bed55, (q31_t)0xeaef32b, (q31_t)0xd7359b78,
+    (q31_t)0xea6f1c2, (q31_t)0xd73f4b2e, (q31_t)0xe9ef241, (q31_t)0xd748fc75,
+    (q31_t)0xe96f4a7, (q31_t)0xd752af4f, (q31_t)0xe8ef8f4, (q31_t)0xd75c63ba,
+    (q31_t)0xe86ff2a, (q31_t)0xd76619b6, (q31_t)0xe7f0748, (q31_t)0xd76fd143,
+    (q31_t)0xe77114e, (q31_t)0xd7798a60, (q31_t)0xe6f1d3d, (q31_t)0xd783450d,
+    (q31_t)0xe672b16, (q31_t)0xd78d014a, (q31_t)0xe5f3ad8, (q31_t)0xd796bf16,
+    (q31_t)0xe574c84, (q31_t)0xd7a07e70, (q31_t)0xe4f6019, (q31_t)0xd7aa3f5a,
+    (q31_t)0xe47759a, (q31_t)0xd7b401d1, (q31_t)0xe3f8d05, (q31_t)0xd7bdc5d6,
+    (q31_t)0xe37a65b, (q31_t)0xd7c78b68, (q31_t)0xe2fc19c, (q31_t)0xd7d15288,
+    (q31_t)0xe27dec9, (q31_t)0xd7db1b34, (q31_t)0xe1ffde2, (q31_t)0xd7e4e56c,
+    (q31_t)0xe181ee8, (q31_t)0xd7eeb130, (q31_t)0xe1041d9, (q31_t)0xd7f87e7f,
+    (q31_t)0xe0866b8, (q31_t)0xd8024d59, (q31_t)0xe008d84, (q31_t)0xd80c1dbf,
+    (q31_t)0xdf8b63d, (q31_t)0xd815efae, (q31_t)0xdf0e0e4, (q31_t)0xd81fc328,
+    (q31_t)0xde90d79, (q31_t)0xd829982b, (q31_t)0xde13bfd, (q31_t)0xd8336eb7,
+    (q31_t)0xdd96c6f, (q31_t)0xd83d46cc, (q31_t)0xdd19ed0, (q31_t)0xd8472069,
+    (q31_t)0xdc9d320, (q31_t)0xd850fb8e, (q31_t)0xdc20960, (q31_t)0xd85ad83c,
+    (q31_t)0xdba4190, (q31_t)0xd864b670, (q31_t)0xdb27bb0, (q31_t)0xd86e962b,
+    (q31_t)0xdaab7c0, (q31_t)0xd878776d, (q31_t)0xda2f5c2, (q31_t)0xd8825a35,
+    (q31_t)0xd9b35b4, (q31_t)0xd88c3e83, (q31_t)0xd937798, (q31_t)0xd8962456,
+    (q31_t)0xd8bbb6d, (q31_t)0xd8a00bae, (q31_t)0xd840134, (q31_t)0xd8a9f48a,
+    (q31_t)0xd7c48ee, (q31_t)0xd8b3deeb, (q31_t)0xd74929a, (q31_t)0xd8bdcad0,
+    (q31_t)0xd6cde39, (q31_t)0xd8c7b838, (q31_t)0xd652bcb, (q31_t)0xd8d1a724,
+    (q31_t)0xd5d7b50, (q31_t)0xd8db9792, (q31_t)0xd55ccca, (q31_t)0xd8e58982,
+    (q31_t)0xd4e2037, (q31_t)0xd8ef7cf4, (q31_t)0xd467599, (q31_t)0xd8f971e8,
+    (q31_t)0xd3eccef, (q31_t)0xd903685d, (q31_t)0xd37263a, (q31_t)0xd90d6053,
+    (q31_t)0xd2f817b, (q31_t)0xd91759c9, (q31_t)0xd27deb0, (q31_t)0xd92154bf,
+    (q31_t)0xd203ddc, (q31_t)0xd92b5135, (q31_t)0xd189efe, (q31_t)0xd9354f2a,
+    (q31_t)0xd110216, (q31_t)0xd93f4e9e, (q31_t)0xd096725, (q31_t)0xd9494f90,
+    (q31_t)0xd01ce2b, (q31_t)0xd9535201, (q31_t)0xcfa3729, (q31_t)0xd95d55ef,
+    (q31_t)0xcf2a21d, (q31_t)0xd9675b5a, (q31_t)0xceb0f0a, (q31_t)0xd9716243,
+    (q31_t)0xce37def, (q31_t)0xd97b6aa8, (q31_t)0xcdbeecc, (q31_t)0xd9857489,
+    (q31_t)0xcd461a2, (q31_t)0xd98f7fe6, (q31_t)0xcccd671, (q31_t)0xd9998cbe,
+    (q31_t)0xcc54d3a, (q31_t)0xd9a39b11, (q31_t)0xcbdc5fc, (q31_t)0xd9adaadf,
+    (q31_t)0xcb640b8, (q31_t)0xd9b7bc27, (q31_t)0xcaebd6e, (q31_t)0xd9c1cee9,
+    (q31_t)0xca73c1e, (q31_t)0xd9cbe325, (q31_t)0xc9fbcca, (q31_t)0xd9d5f8d9,
+    (q31_t)0xc983f70, (q31_t)0xd9e01006, (q31_t)0xc90c412, (q31_t)0xd9ea28ac,
+    (q31_t)0xc894aaf, (q31_t)0xd9f442c9, (q31_t)0xc81d349, (q31_t)0xd9fe5e5e,
+    (q31_t)0xc7a5dde, (q31_t)0xda087b69, (q31_t)0xc72ea70, (q31_t)0xda1299ec,
+    (q31_t)0xc6b78ff, (q31_t)0xda1cb9e5, (q31_t)0xc64098b, (q31_t)0xda26db54,
+    (q31_t)0xc5c9c14, (q31_t)0xda30fe38, (q31_t)0xc55309b, (q31_t)0xda3b2292,
+    (q31_t)0xc4dc720, (q31_t)0xda454860, (q31_t)0xc465fa3, (q31_t)0xda4f6fa3,
+    (q31_t)0xc3efa25, (q31_t)0xda599859, (q31_t)0xc3796a5, (q31_t)0xda63c284,
+    (q31_t)0xc303524, (q31_t)0xda6dee21, (q31_t)0xc28d5a3, (q31_t)0xda781b31,
+    (q31_t)0xc217822, (q31_t)0xda8249b4, (q31_t)0xc1a1ca0, (q31_t)0xda8c79a9,
+    (q31_t)0xc12c31f, (q31_t)0xda96ab0f, (q31_t)0xc0b6b9e, (q31_t)0xdaa0dde7,
+    (q31_t)0xc04161e, (q31_t)0xdaab122f, (q31_t)0xbfcc29f, (q31_t)0xdab547e8,
+    (q31_t)0xbf57121, (q31_t)0xdabf7f11, (q31_t)0xbee21a5, (q31_t)0xdac9b7a9,
+    (q31_t)0xbe6d42b, (q31_t)0xdad3f1b1, (q31_t)0xbdf88b3, (q31_t)0xdade2d28,
+    (q31_t)0xbd83f3d, (q31_t)0xdae86a0d, (q31_t)0xbd0f7ca, (q31_t)0xdaf2a860,
+    (q31_t)0xbc9b25a, (q31_t)0xdafce821, (q31_t)0xbc26eee, (q31_t)0xdb072950,
+    (q31_t)0xbbb2d85, (q31_t)0xdb116beb, (q31_t)0xbb3ee20, (q31_t)0xdb1baff2,
+    (q31_t)0xbacb0bf, (q31_t)0xdb25f566, (q31_t)0xba57563, (q31_t)0xdb303c46,
+    (q31_t)0xb9e3c0b, (q31_t)0xdb3a8491, (q31_t)0xb9704b9, (q31_t)0xdb44ce46,
+    (q31_t)0xb8fcf6b, (q31_t)0xdb4f1967, (q31_t)0xb889c23, (q31_t)0xdb5965f1,
+    (q31_t)0xb816ae1, (q31_t)0xdb63b3e5, (q31_t)0xb7a3ba5, (q31_t)0xdb6e0342,
+    (q31_t)0xb730e70, (q31_t)0xdb785409, (q31_t)0xb6be341, (q31_t)0xdb82a638,
+    (q31_t)0xb64ba19, (q31_t)0xdb8cf9cf, (q31_t)0xb5d92f8, (q31_t)0xdb974ece,
+    (q31_t)0xb566ddf, (q31_t)0xdba1a534, (q31_t)0xb4f4acd, (q31_t)0xdbabfd01,
+    (q31_t)0xb4829c4, (q31_t)0xdbb65634, (q31_t)0xb410ac3, (q31_t)0xdbc0b0ce,
+    (q31_t)0xb39edca, (q31_t)0xdbcb0cce, (q31_t)0xb32d2da, (q31_t)0xdbd56a32,
+    (q31_t)0xb2bb9f4, (q31_t)0xdbdfc8fc, (q31_t)0xb24a316, (q31_t)0xdbea292b,
+    (q31_t)0xb1d8e43, (q31_t)0xdbf48abd, (q31_t)0xb167b79, (q31_t)0xdbfeedb3,
+    (q31_t)0xb0f6aba, (q31_t)0xdc09520d, (q31_t)0xb085c05, (q31_t)0xdc13b7c9,
+    (q31_t)0xb014f5b, (q31_t)0xdc1e1ee9, (q31_t)0xafa44bc, (q31_t)0xdc28876a,
+    (q31_t)0xaf33c28, (q31_t)0xdc32f14d, (q31_t)0xaec35a0, (q31_t)0xdc3d5c91,
+    (q31_t)0xae53123, (q31_t)0xdc47c936, (q31_t)0xade2eb3, (q31_t)0xdc52373c,
+    (q31_t)0xad72e4f, (q31_t)0xdc5ca6a2, (q31_t)0xad02ff8, (q31_t)0xdc671768,
+    (q31_t)0xac933ae, (q31_t)0xdc71898d, (q31_t)0xac23971, (q31_t)0xdc7bfd11,
+    (q31_t)0xabb4141, (q31_t)0xdc8671f3, (q31_t)0xab44b1f, (q31_t)0xdc90e834,
+    (q31_t)0xaad570c, (q31_t)0xdc9b5fd2, (q31_t)0xaa66506, (q31_t)0xdca5d8cd,
+    (q31_t)0xa9f750f, (q31_t)0xdcb05326, (q31_t)0xa988727, (q31_t)0xdcbacedb,
+    (q31_t)0xa919b4e, (q31_t)0xdcc54bec, (q31_t)0xa8ab184, (q31_t)0xdccfca59,
+    (q31_t)0xa83c9ca, (q31_t)0xdcda4a21, (q31_t)0xa7ce420, (q31_t)0xdce4cb44,
+    (q31_t)0xa760086, (q31_t)0xdcef4dc2, (q31_t)0xa6f1efc, (q31_t)0xdcf9d199,
+    (q31_t)0xa683f83, (q31_t)0xdd0456ca, (q31_t)0xa61621b, (q31_t)0xdd0edd55,
+    (q31_t)0xa5a86c4, (q31_t)0xdd196538, (q31_t)0xa53ad7e, (q31_t)0xdd23ee74,
+    (q31_t)0xa4cd64b, (q31_t)0xdd2e7908, (q31_t)0xa460129, (q31_t)0xdd3904f4,
+    (q31_t)0xa3f2e19, (q31_t)0xdd439236, (q31_t)0xa385d1d, (q31_t)0xdd4e20d0,
+    (q31_t)0xa318e32, (q31_t)0xdd58b0c0, (q31_t)0xa2ac15b, (q31_t)0xdd634206,
+    (q31_t)0xa23f698, (q31_t)0xdd6dd4a2, (q31_t)0xa1d2de7, (q31_t)0xdd786892,
+    (q31_t)0xa16674b, (q31_t)0xdd82fdd8, (q31_t)0xa0fa2c3, (q31_t)0xdd8d9472,
+    (q31_t)0xa08e04f, (q31_t)0xdd982c60, (q31_t)0xa021fef, (q31_t)0xdda2c5a2,
+    (q31_t)0x9fb61a5, (q31_t)0xddad6036, (q31_t)0x9f4a570, (q31_t)0xddb7fc1e,
+    (q31_t)0x9edeb50, (q31_t)0xddc29958, (q31_t)0x9e73346, (q31_t)0xddcd37e4,
+    (q31_t)0x9e07d51, (q31_t)0xddd7d7c1, (q31_t)0x9d9c973, (q31_t)0xdde278ef,
+    (q31_t)0x9d317ab, (q31_t)0xdded1b6e, (q31_t)0x9cc67fa, (q31_t)0xddf7bf3e,
+    (q31_t)0x9c5ba60, (q31_t)0xde02645d, (q31_t)0x9bf0edd, (q31_t)0xde0d0acc,
+    (q31_t)0x9b86572, (q31_t)0xde17b28a, (q31_t)0x9b1be1e, (q31_t)0xde225b96,
+    (q31_t)0x9ab18e3, (q31_t)0xde2d05f1, (q31_t)0x9a475bf, (q31_t)0xde37b199,
+    (q31_t)0x99dd4b4, (q31_t)0xde425e8f, (q31_t)0x99735c2, (q31_t)0xde4d0cd2,
+    (q31_t)0x99098e9, (q31_t)0xde57bc62, (q31_t)0x989fe29, (q31_t)0xde626d3e,
+    (q31_t)0x9836582, (q31_t)0xde6d1f65, (q31_t)0x97ccef5, (q31_t)0xde77d2d8,
+    (q31_t)0x9763a83, (q31_t)0xde828796, (q31_t)0x96fa82a, (q31_t)0xde8d3d9e,
+    (q31_t)0x96917ec, (q31_t)0xde97f4f1, (q31_t)0x96289c9, (q31_t)0xdea2ad8d,
+    (q31_t)0x95bfdc1, (q31_t)0xdead6773, (q31_t)0x95573d4, (q31_t)0xdeb822a1,
+    (q31_t)0x94eec03, (q31_t)0xdec2df18, (q31_t)0x948664d, (q31_t)0xdecd9cd7,
+    (q31_t)0x941e2b4, (q31_t)0xded85bdd, (q31_t)0x93b6137, (q31_t)0xdee31c2b,
+    (q31_t)0x934e1d6, (q31_t)0xdeedddc0, (q31_t)0x92e6492, (q31_t)0xdef8a09b,
+    (q31_t)0x927e96b, (q31_t)0xdf0364bc, (q31_t)0x9217062, (q31_t)0xdf0e2a22,
+    (q31_t)0x91af976, (q31_t)0xdf18f0ce, (q31_t)0x91484a8, (q31_t)0xdf23b8be,
+    (q31_t)0x90e11f7, (q31_t)0xdf2e81f3, (q31_t)0x907a166, (q31_t)0xdf394c6b,
+    (q31_t)0x90132f2, (q31_t)0xdf441828, (q31_t)0x8fac69e, (q31_t)0xdf4ee527,
+    (q31_t)0x8f45c68, (q31_t)0xdf59b369, (q31_t)0x8edf452, (q31_t)0xdf6482ed,
+    (q31_t)0x8e78e5b, (q31_t)0xdf6f53b3, (q31_t)0x8e12a84, (q31_t)0xdf7a25ba,
+    (q31_t)0x8dac8cd, (q31_t)0xdf84f902, (q31_t)0x8d46936, (q31_t)0xdf8fcd8b,
+    (q31_t)0x8ce0bc0, (q31_t)0xdf9aa354, (q31_t)0x8c7b06b, (q31_t)0xdfa57a5d,
+    (q31_t)0x8c15736, (q31_t)0xdfb052a5, (q31_t)0x8bb0023, (q31_t)0xdfbb2c2c,
+    (q31_t)0x8b4ab32, (q31_t)0xdfc606f1, (q31_t)0x8ae5862, (q31_t)0xdfd0e2f5,
+    (q31_t)0x8a807b4, (q31_t)0xdfdbc036, (q31_t)0x8a1b928, (q31_t)0xdfe69eb4,
+    (q31_t)0x89b6cbf, (q31_t)0xdff17e70, (q31_t)0x8952278, (q31_t)0xdffc5f67,
+    (q31_t)0x88eda54, (q31_t)0xe007419b, (q31_t)0x8889454, (q31_t)0xe012250a,
+    (q31_t)0x8825077, (q31_t)0xe01d09b4, (q31_t)0x87c0ebd, (q31_t)0xe027ef99,
+    (q31_t)0x875cf28, (q31_t)0xe032d6b8, (q31_t)0x86f91b7, (q31_t)0xe03dbf11,
+    (q31_t)0x869566a, (q31_t)0xe048a8a4, (q31_t)0x8631d42, (q31_t)0xe053936f,
+    (q31_t)0x85ce63e, (q31_t)0xe05e7f74, (q31_t)0x856b160, (q31_t)0xe0696cb0,
+    (q31_t)0x8507ea7, (q31_t)0xe0745b24, (q31_t)0x84a4e14, (q31_t)0xe07f4acf,
+    (q31_t)0x8441fa6, (q31_t)0xe08a3bb2, (q31_t)0x83df35f, (q31_t)0xe0952dcb,
+    (q31_t)0x837c93e, (q31_t)0xe0a0211a, (q31_t)0x831a143, (q31_t)0xe0ab159e,
+    (q31_t)0x82b7b70, (q31_t)0xe0b60b58, (q31_t)0x82557c3, (q31_t)0xe0c10247,
+    (q31_t)0x81f363d, (q31_t)0xe0cbfa6a, (q31_t)0x81916df, (q31_t)0xe0d6f3c1,
+    (q31_t)0x812f9a9, (q31_t)0xe0e1ee4b, (q31_t)0x80cde9b, (q31_t)0xe0ecea09,
+    (q31_t)0x806c5b5, (q31_t)0xe0f7e6f9, (q31_t)0x800aef7, (q31_t)0xe102e51c,
+    (q31_t)0x7fa9a62, (q31_t)0xe10de470, (q31_t)0x7f487f6, (q31_t)0xe118e4f6,
+    (q31_t)0x7ee77b3, (q31_t)0xe123e6ad, (q31_t)0x7e8699a, (q31_t)0xe12ee995,
+    (q31_t)0x7e25daa, (q31_t)0xe139edac, (q31_t)0x7dc53e3, (q31_t)0xe144f2f3,
+    (q31_t)0x7d64c47, (q31_t)0xe14ff96a, (q31_t)0x7d046d6, (q31_t)0xe15b0110,
+    (q31_t)0x7ca438f, (q31_t)0xe16609e3, (q31_t)0x7c44272, (q31_t)0xe17113e5,
+    (q31_t)0x7be4381, (q31_t)0xe17c1f15, (q31_t)0x7b846ba, (q31_t)0xe1872b72,
+    (q31_t)0x7b24c20, (q31_t)0xe19238fb, (q31_t)0x7ac53b1, (q31_t)0xe19d47b1,
+    (q31_t)0x7a65d6e, (q31_t)0xe1a85793, (q31_t)0x7a06957, (q31_t)0xe1b368a0,
+    (q31_t)0x79a776c, (q31_t)0xe1be7ad8, (q31_t)0x79487ae, (q31_t)0xe1c98e3b,
+    (q31_t)0x78e9a1d, (q31_t)0xe1d4a2c8, (q31_t)0x788aeb9, (q31_t)0xe1dfb87f,
+    (q31_t)0x782c582, (q31_t)0xe1eacf5f, (q31_t)0x77cde79, (q31_t)0xe1f5e768,
+    (q31_t)0x776f99d, (q31_t)0xe2010099, (q31_t)0x77116f0, (q31_t)0xe20c1af3,
+    (q31_t)0x76b3671, (q31_t)0xe2173674, (q31_t)0x7655820, (q31_t)0xe222531c,
+    (q31_t)0x75f7bfe, (q31_t)0xe22d70eb, (q31_t)0x759a20a, (q31_t)0xe2388fe1,
+    (q31_t)0x753ca46, (q31_t)0xe243affc, (q31_t)0x74df4b1, (q31_t)0xe24ed13d,
+    (q31_t)0x748214c, (q31_t)0xe259f3a3, (q31_t)0x7425016, (q31_t)0xe265172e,
+    (q31_t)0x73c8111, (q31_t)0xe2703bdc, (q31_t)0x736b43c, (q31_t)0xe27b61af,
+    (q31_t)0x730e997, (q31_t)0xe28688a4, (q31_t)0x72b2123, (q31_t)0xe291b0bd,
+    (q31_t)0x7255ae0, (q31_t)0xe29cd9f8, (q31_t)0x71f96ce, (q31_t)0xe2a80456,
+    (q31_t)0x719d4ed, (q31_t)0xe2b32fd4, (q31_t)0x714153e, (q31_t)0xe2be5c74,
+    (q31_t)0x70e57c0, (q31_t)0xe2c98a35, (q31_t)0x7089c75, (q31_t)0xe2d4b916,
+    (q31_t)0x702e35c, (q31_t)0xe2dfe917, (q31_t)0x6fd2c75, (q31_t)0xe2eb1a37,
+    (q31_t)0x6f777c1, (q31_t)0xe2f64c77, (q31_t)0x6f1c540, (q31_t)0xe3017fd5,
+    (q31_t)0x6ec14f2, (q31_t)0xe30cb451, (q31_t)0x6e666d7, (q31_t)0xe317e9eb,
+    (q31_t)0x6e0baf0, (q31_t)0xe32320a2, (q31_t)0x6db113d, (q31_t)0xe32e5876,
+    (q31_t)0x6d569be, (q31_t)0xe3399167, (q31_t)0x6cfc472, (q31_t)0xe344cb73,
+    (q31_t)0x6ca215c, (q31_t)0xe350069b, (q31_t)0x6c4807a, (q31_t)0xe35b42df,
+    (q31_t)0x6bee1cd, (q31_t)0xe366803c, (q31_t)0x6b94554, (q31_t)0xe371beb5,
+    (q31_t)0x6b3ab12, (q31_t)0xe37cfe47, (q31_t)0x6ae1304, (q31_t)0xe3883ef2,
+    (q31_t)0x6a87d2d, (q31_t)0xe39380b6, (q31_t)0x6a2e98b, (q31_t)0xe39ec393,
+    (q31_t)0x69d5820, (q31_t)0xe3aa0788, (q31_t)0x697c8eb, (q31_t)0xe3b54c95,
+    (q31_t)0x6923bec, (q31_t)0xe3c092b9, (q31_t)0x68cb124, (q31_t)0xe3cbd9f4,
+    (q31_t)0x6872894, (q31_t)0xe3d72245, (q31_t)0x681a23a, (q31_t)0xe3e26bac,
+    (q31_t)0x67c1e18, (q31_t)0xe3edb628, (q31_t)0x6769c2e, (q31_t)0xe3f901ba,
+    (q31_t)0x6711c7b, (q31_t)0xe4044e60, (q31_t)0x66b9f01, (q31_t)0xe40f9c1a,
+    (q31_t)0x66623be, (q31_t)0xe41aeae8, (q31_t)0x660aab5, (q31_t)0xe4263ac9,
+    (q31_t)0x65b33e4, (q31_t)0xe4318bbe, (q31_t)0x655bf4c, (q31_t)0xe43cddc4,
+    (q31_t)0x6504ced, (q31_t)0xe44830dd, (q31_t)0x64adcc7, (q31_t)0xe4538507,
+    (q31_t)0x6456edb, (q31_t)0xe45eda43, (q31_t)0x6400329, (q31_t)0xe46a308f,
+    (q31_t)0x63a99b1, (q31_t)0xe47587eb, (q31_t)0x6353273, (q31_t)0xe480e057,
+    (q31_t)0x62fcd6f, (q31_t)0xe48c39d3, (q31_t)0x62a6aa6, (q31_t)0xe497945d,
+    (q31_t)0x6250a18, (q31_t)0xe4a2eff6, (q31_t)0x61fabc4, (q31_t)0xe4ae4c9d,
+    (q31_t)0x61a4fac, (q31_t)0xe4b9aa52, (q31_t)0x614f5cf, (q31_t)0xe4c50914,
+    (q31_t)0x60f9e2e, (q31_t)0xe4d068e2, (q31_t)0x60a48c9, (q31_t)0xe4dbc9bd,
+    (q31_t)0x604f5a0, (q31_t)0xe4e72ba4, (q31_t)0x5ffa4b3, (q31_t)0xe4f28e96,
+    (q31_t)0x5fa5603, (q31_t)0xe4fdf294, (q31_t)0x5f5098f, (q31_t)0xe509579b,
+    (q31_t)0x5efbf58, (q31_t)0xe514bdad, (q31_t)0x5ea775e, (q31_t)0xe52024c9,
+    (q31_t)0x5e531a1, (q31_t)0xe52b8cee, (q31_t)0x5dfee22, (q31_t)0xe536f61b,
+    (q31_t)0x5daace1, (q31_t)0xe5426051, (q31_t)0x5d56ddd, (q31_t)0xe54dcb8f,
+    (q31_t)0x5d03118, (q31_t)0xe55937d5, (q31_t)0x5caf690, (q31_t)0xe564a521,
+    (q31_t)0x5c5be47, (q31_t)0xe5701374, (q31_t)0x5c0883d, (q31_t)0xe57b82cd,
+    (q31_t)0x5bb5472, (q31_t)0xe586f32c, (q31_t)0x5b622e6, (q31_t)0xe5926490,
+    (q31_t)0x5b0f399, (q31_t)0xe59dd6f9, (q31_t)0x5abc68c, (q31_t)0xe5a94a67,
+    (q31_t)0x5a69bbe, (q31_t)0xe5b4bed8, (q31_t)0x5a17330, (q31_t)0xe5c0344d,
+    (q31_t)0x59c4ce3, (q31_t)0xe5cbaac5, (q31_t)0x59728d5, (q31_t)0xe5d72240,
+    (q31_t)0x5920708, (q31_t)0xe5e29abc, (q31_t)0x58ce77c, (q31_t)0xe5ee143b,
+    (q31_t)0x587ca31, (q31_t)0xe5f98ebb, (q31_t)0x582af26, (q31_t)0xe6050a3b,
+    (q31_t)0x57d965d, (q31_t)0xe61086bc, (q31_t)0x5787fd6, (q31_t)0xe61c043d,
+    (q31_t)0x5736b90, (q31_t)0xe62782be, (q31_t)0x56e598c, (q31_t)0xe633023e,
+    (q31_t)0x56949ca, (q31_t)0xe63e82bc, (q31_t)0x5643c4a, (q31_t)0xe64a0438,
+    (q31_t)0x55f310d, (q31_t)0xe65586b3, (q31_t)0x55a2812, (q31_t)0xe6610a2a,
+    (q31_t)0x555215a, (q31_t)0xe66c8e9f, (q31_t)0x5501ce5, (q31_t)0xe6781410,
+    (q31_t)0x54b1ab4, (q31_t)0xe6839a7c, (q31_t)0x5461ac6, (q31_t)0xe68f21e5,
+    (q31_t)0x5411d1b, (q31_t)0xe69aaa48, (q31_t)0x53c21b4, (q31_t)0xe6a633a6,
+    (q31_t)0x5372891, (q31_t)0xe6b1bdff, (q31_t)0x53231b3, (q31_t)0xe6bd4951,
+    (q31_t)0x52d3d18, (q31_t)0xe6c8d59c, (q31_t)0x5284ac3, (q31_t)0xe6d462e1,
+    (q31_t)0x5235ab2, (q31_t)0xe6dff11d, (q31_t)0x51e6ce6, (q31_t)0xe6eb8052,
+    (q31_t)0x519815f, (q31_t)0xe6f7107e, (q31_t)0x514981d, (q31_t)0xe702a1a1,
+    (q31_t)0x50fb121, (q31_t)0xe70e33bb, (q31_t)0x50acc6b, (q31_t)0xe719c6cb,
+    (q31_t)0x505e9fb, (q31_t)0xe7255ad1, (q31_t)0x50109d0, (q31_t)0xe730efcc,
+    (q31_t)0x4fc2bec, (q31_t)0xe73c85bc, (q31_t)0x4f7504e, (q31_t)0xe7481ca1,
+    (q31_t)0x4f276f7, (q31_t)0xe753b479, (q31_t)0x4ed9fe7, (q31_t)0xe75f4d45,
+    (q31_t)0x4e8cb1e, (q31_t)0xe76ae704, (q31_t)0x4e3f89c, (q31_t)0xe77681b6,
+    (q31_t)0x4df2862, (q31_t)0xe7821d59, (q31_t)0x4da5a6f, (q31_t)0xe78db9ef,
+    (q31_t)0x4d58ec3, (q31_t)0xe7995776, (q31_t)0x4d0c560, (q31_t)0xe7a4f5ed,
+    (q31_t)0x4cbfe45, (q31_t)0xe7b09555, (q31_t)0x4c73972, (q31_t)0xe7bc35ad,
+    (q31_t)0x4c276e8, (q31_t)0xe7c7d6f4, (q31_t)0x4bdb6a6, (q31_t)0xe7d3792b,
+    (q31_t)0x4b8f8ad, (q31_t)0xe7df1c50, (q31_t)0x4b43cfd, (q31_t)0xe7eac063,
+    (q31_t)0x4af8397, (q31_t)0xe7f66564, (q31_t)0x4aacc7a, (q31_t)0xe8020b52,
+    (q31_t)0x4a617a6, (q31_t)0xe80db22d, (q31_t)0x4a1651c, (q31_t)0xe81959f4,
+    (q31_t)0x49cb4dd, (q31_t)0xe82502a7, (q31_t)0x49806e7, (q31_t)0xe830ac45,
+    (q31_t)0x4935b3c, (q31_t)0xe83c56cf, (q31_t)0x48eb1db, (q31_t)0xe8480243,
+    (q31_t)0x48a0ac4, (q31_t)0xe853aea1, (q31_t)0x48565f9, (q31_t)0xe85f5be9,
+    (q31_t)0x480c379, (q31_t)0xe86b0a1a, (q31_t)0x47c2344, (q31_t)0xe876b934,
+    (q31_t)0x477855a, (q31_t)0xe8826936, (q31_t)0x472e9bc, (q31_t)0xe88e1a20,
+    (q31_t)0x46e5069, (q31_t)0xe899cbf1, (q31_t)0x469b963, (q31_t)0xe8a57ea9,
+    (q31_t)0x46524a9, (q31_t)0xe8b13248, (q31_t)0x460923b, (q31_t)0xe8bce6cd,
+    (q31_t)0x45c0219, (q31_t)0xe8c89c37, (q31_t)0x4577444, (q31_t)0xe8d45286,
+    (q31_t)0x452e8bc, (q31_t)0xe8e009ba, (q31_t)0x44e5f80, (q31_t)0xe8ebc1d3,
+    (q31_t)0x449d892, (q31_t)0xe8f77acf, (q31_t)0x44553f2, (q31_t)0xe90334af,
+    (q31_t)0x440d19e, (q31_t)0xe90eef71, (q31_t)0x43c5199, (q31_t)0xe91aab16,
+    (q31_t)0x437d3e1, (q31_t)0xe926679c, (q31_t)0x4335877, (q31_t)0xe9322505,
+    (q31_t)0x42edf5c, (q31_t)0xe93de34e, (q31_t)0x42a688f, (q31_t)0xe949a278,
+    (q31_t)0x425f410, (q31_t)0xe9556282, (q31_t)0x42181e0, (q31_t)0xe961236c,
+    (q31_t)0x41d11ff, (q31_t)0xe96ce535, (q31_t)0x418a46d, (q31_t)0xe978a7dd,
+    (q31_t)0x414392b, (q31_t)0xe9846b63, (q31_t)0x40fd037, (q31_t)0xe9902fc7,
+    (q31_t)0x40b6994, (q31_t)0xe99bf509, (q31_t)0x4070540, (q31_t)0xe9a7bb28,
+    (q31_t)0x402a33c, (q31_t)0xe9b38223, (q31_t)0x3fe4388, (q31_t)0xe9bf49fa,
+    (q31_t)0x3f9e624, (q31_t)0xe9cb12ad, (q31_t)0x3f58b10, (q31_t)0xe9d6dc3b,
+    (q31_t)0x3f1324e, (q31_t)0xe9e2a6a3, (q31_t)0x3ecdbdc, (q31_t)0xe9ee71e6,
+    (q31_t)0x3e887bb, (q31_t)0xe9fa3e03, (q31_t)0x3e435ea, (q31_t)0xea060af9,
+    (q31_t)0x3dfe66c, (q31_t)0xea11d8c8, (q31_t)0x3db993e, (q31_t)0xea1da770,
+    (q31_t)0x3d74e62, (q31_t)0xea2976ef, (q31_t)0x3d305d8, (q31_t)0xea354746,
+    (q31_t)0x3cebfa0, (q31_t)0xea411874, (q31_t)0x3ca7bba, (q31_t)0xea4cea79,
+    (q31_t)0x3c63a26, (q31_t)0xea58bd54, (q31_t)0x3c1fae5, (q31_t)0xea649105,
+    (q31_t)0x3bdbdf6, (q31_t)0xea70658a, (q31_t)0x3b9835a, (q31_t)0xea7c3ae5,
+    (q31_t)0x3b54b11, (q31_t)0xea881114, (q31_t)0x3b1151b, (q31_t)0xea93e817,
+    (q31_t)0x3ace178, (q31_t)0xea9fbfed, (q31_t)0x3a8b028, (q31_t)0xeaab9896,
+    (q31_t)0x3a4812c, (q31_t)0xeab77212, (q31_t)0x3a05484, (q31_t)0xeac34c60,
+    (q31_t)0x39c2a2f, (q31_t)0xeacf277f, (q31_t)0x398022f, (q31_t)0xeadb0370,
+    (q31_t)0x393dc82, (q31_t)0xeae6e031, (q31_t)0x38fb92a, (q31_t)0xeaf2bdc3,
+    (q31_t)0x38b9827, (q31_t)0xeafe9c24, (q31_t)0x3877978, (q31_t)0xeb0a7b54,
+    (q31_t)0x3835d1e, (q31_t)0xeb165b54, (q31_t)0x37f4319, (q31_t)0xeb223c22,
+    (q31_t)0x37b2b6a, (q31_t)0xeb2e1dbe, (q31_t)0x377160f, (q31_t)0xeb3a0027,
+    (q31_t)0x373030a, (q31_t)0xeb45e35d, (q31_t)0x36ef25b, (q31_t)0xeb51c760,
+    (q31_t)0x36ae401, (q31_t)0xeb5dac2f, (q31_t)0x366d7fd, (q31_t)0xeb6991ca,
+    (q31_t)0x362ce50, (q31_t)0xeb75782f, (q31_t)0x35ec6f8, (q31_t)0xeb815f60,
+    (q31_t)0x35ac1f7, (q31_t)0xeb8d475b, (q31_t)0x356bf4d, (q31_t)0xeb99301f,
+    (q31_t)0x352bef9, (q31_t)0xeba519ad, (q31_t)0x34ec0fc, (q31_t)0xebb10404,
+    (q31_t)0x34ac556, (q31_t)0xebbcef23, (q31_t)0x346cc07, (q31_t)0xebc8db0b,
+    (q31_t)0x342d510, (q31_t)0xebd4c7ba, (q31_t)0x33ee070, (q31_t)0xebe0b52f,
+    (q31_t)0x33aee27, (q31_t)0xebeca36c, (q31_t)0x336fe37, (q31_t)0xebf8926f,
+    (q31_t)0x333109e, (q31_t)0xec048237, (q31_t)0x32f255e, (q31_t)0xec1072c4,
+    (q31_t)0x32b3c75, (q31_t)0xec1c6417, (q31_t)0x32755e5, (q31_t)0xec28562d,
+    (q31_t)0x32371ae, (q31_t)0xec344908, (q31_t)0x31f8fcf, (q31_t)0xec403ca5,
+    (q31_t)0x31bb049, (q31_t)0xec4c3106, (q31_t)0x317d31c, (q31_t)0xec582629,
+    (q31_t)0x313f848, (q31_t)0xec641c0e, (q31_t)0x3101fce, (q31_t)0xec7012b5,
+    (q31_t)0x30c49ad, (q31_t)0xec7c0a1d, (q31_t)0x30875e5, (q31_t)0xec880245,
+    (q31_t)0x304a477, (q31_t)0xec93fb2e, (q31_t)0x300d563, (q31_t)0xec9ff4d6,
+    (q31_t)0x2fd08a9, (q31_t)0xecabef3d, (q31_t)0x2f93e4a, (q31_t)0xecb7ea63,
+    (q31_t)0x2f57644, (q31_t)0xecc3e648, (q31_t)0x2f1b099, (q31_t)0xeccfe2ea,
+    (q31_t)0x2eded49, (q31_t)0xecdbe04a, (q31_t)0x2ea2c53, (q31_t)0xece7de66,
+    (q31_t)0x2e66db8, (q31_t)0xecf3dd3f, (q31_t)0x2e2b178, (q31_t)0xecffdcd4,
+    (q31_t)0x2def794, (q31_t)0xed0bdd25, (q31_t)0x2db400a, (q31_t)0xed17de31,
+    (q31_t)0x2d78add, (q31_t)0xed23dff7, (q31_t)0x2d3d80a, (q31_t)0xed2fe277,
+    (q31_t)0x2d02794, (q31_t)0xed3be5b1, (q31_t)0x2cc7979, (q31_t)0xed47e9a5,
+    (q31_t)0x2c8cdbb, (q31_t)0xed53ee51, (q31_t)0x2c52459, (q31_t)0xed5ff3b5,
+    (q31_t)0x2c17d52, (q31_t)0xed6bf9d1, (q31_t)0x2bdd8a9, (q31_t)0xed7800a5,
+    (q31_t)0x2ba365c, (q31_t)0xed84082f, (q31_t)0x2b6966c, (q31_t)0xed901070,
+    (q31_t)0x2b2f8d8, (q31_t)0xed9c1967, (q31_t)0x2af5da2, (q31_t)0xeda82313,
+    (q31_t)0x2abc4c9, (q31_t)0xedb42d74, (q31_t)0x2a82e4d, (q31_t)0xedc0388a,
+    (q31_t)0x2a49a2e, (q31_t)0xedcc4454, (q31_t)0x2a1086d, (q31_t)0xedd850d2,
+    (q31_t)0x29d790a, (q31_t)0xede45e03, (q31_t)0x299ec05, (q31_t)0xedf06be6,
+    (q31_t)0x296615d, (q31_t)0xedfc7a7c, (q31_t)0x292d914, (q31_t)0xee0889c4,
+    (q31_t)0x28f5329, (q31_t)0xee1499bd, (q31_t)0x28bcf9c, (q31_t)0xee20aa67,
+    (q31_t)0x2884e6e, (q31_t)0xee2cbbc1, (q31_t)0x284cf9f, (q31_t)0xee38cdcb,
+    (q31_t)0x281532e, (q31_t)0xee44e084, (q31_t)0x27dd91c, (q31_t)0xee50f3ed,
+    (q31_t)0x27a616a, (q31_t)0xee5d0804, (q31_t)0x276ec16, (q31_t)0xee691cc9,
+    (q31_t)0x2737922, (q31_t)0xee75323c, (q31_t)0x270088e, (q31_t)0xee81485c,
+    (q31_t)0x26c9a58, (q31_t)0xee8d5f29, (q31_t)0x2692e83, (q31_t)0xee9976a1,
+    (q31_t)0x265c50e, (q31_t)0xeea58ec6, (q31_t)0x2625df8, (q31_t)0xeeb1a796,
+    (q31_t)0x25ef943, (q31_t)0xeebdc110, (q31_t)0x25b96ee, (q31_t)0xeec9db35,
+    (q31_t)0x25836f9, (q31_t)0xeed5f604, (q31_t)0x254d965, (q31_t)0xeee2117c,
+    (q31_t)0x2517e31, (q31_t)0xeeee2d9d, (q31_t)0x24e255e, (q31_t)0xeefa4a67,
+    (q31_t)0x24aceed, (q31_t)0xef0667d9, (q31_t)0x2477adc, (q31_t)0xef1285f2,
+    (q31_t)0x244292c, (q31_t)0xef1ea4b2, (q31_t)0x240d9de, (q31_t)0xef2ac419,
+    (q31_t)0x23d8cf1, (q31_t)0xef36e426, (q31_t)0x23a4265, (q31_t)0xef4304d8,
+    (q31_t)0x236fa3b, (q31_t)0xef4f2630, (q31_t)0x233b473, (q31_t)0xef5b482d,
+    (q31_t)0x230710d, (q31_t)0xef676ace, (q31_t)0x22d3009, (q31_t)0xef738e12,
+    (q31_t)0x229f167, (q31_t)0xef7fb1fa, (q31_t)0x226b528, (q31_t)0xef8bd685,
+    (q31_t)0x2237b4b, (q31_t)0xef97fbb2, (q31_t)0x22043d0, (q31_t)0xefa42181,
+    (q31_t)0x21d0eb8, (q31_t)0xefb047f2, (q31_t)0x219dc03, (q31_t)0xefbc6f03,
+    (q31_t)0x216abb1, (q31_t)0xefc896b5, (q31_t)0x2137dc2, (q31_t)0xefd4bf08,
+    (q31_t)0x2105236, (q31_t)0xefe0e7f9, (q31_t)0x20d290d, (q31_t)0xefed118a,
+    (q31_t)0x20a0248, (q31_t)0xeff93bba, (q31_t)0x206dde6, (q31_t)0xf0056687,
+    (q31_t)0x203bbe8, (q31_t)0xf01191f3, (q31_t)0x2009c4e, (q31_t)0xf01dbdfb,
+    (q31_t)0x1fd7f17, (q31_t)0xf029eaa1, (q31_t)0x1fa6445, (q31_t)0xf03617e2,
+    (q31_t)0x1f74bd6, (q31_t)0xf04245c0, (q31_t)0x1f435cc, (q31_t)0xf04e7438,
+    (q31_t)0x1f12227, (q31_t)0xf05aa34c, (q31_t)0x1ee10e5, (q31_t)0xf066d2fa,
+    (q31_t)0x1eb0209, (q31_t)0xf0730342, (q31_t)0x1e7f591, (q31_t)0xf07f3424,
+    (q31_t)0x1e4eb7e, (q31_t)0xf08b659f, (q31_t)0x1e1e3d0, (q31_t)0xf09797b2,
+    (q31_t)0x1dede87, (q31_t)0xf0a3ca5d, (q31_t)0x1dbdba3, (q31_t)0xf0affda0,
+    (q31_t)0x1d8db25, (q31_t)0xf0bc317a, (q31_t)0x1d5dd0c, (q31_t)0xf0c865ea,
+    (q31_t)0x1d2e158, (q31_t)0xf0d49af1, (q31_t)0x1cfe80a, (q31_t)0xf0e0d08d,
+    (q31_t)0x1ccf122, (q31_t)0xf0ed06bf, (q31_t)0x1c9fca0, (q31_t)0xf0f93d86,
+    (q31_t)0x1c70a84, (q31_t)0xf10574e0, (q31_t)0x1c41ace, (q31_t)0xf111accf,
+    (q31_t)0x1c12d7e, (q31_t)0xf11de551, (q31_t)0x1be4294, (q31_t)0xf12a1e66,
+    (q31_t)0x1bb5a11, (q31_t)0xf136580d, (q31_t)0x1b873f5, (q31_t)0xf1429247,
+    (q31_t)0x1b5903f, (q31_t)0xf14ecd11, (q31_t)0x1b2aef0, (q31_t)0xf15b086d,
+    (q31_t)0x1afd007, (q31_t)0xf1674459, (q31_t)0x1acf386, (q31_t)0xf17380d6,
+    (q31_t)0x1aa196c, (q31_t)0xf17fbde2, (q31_t)0x1a741b9, (q31_t)0xf18bfb7d,
+    (q31_t)0x1a46c6e, (q31_t)0xf19839a6, (q31_t)0x1a1998a, (q31_t)0xf1a4785e,
+    (q31_t)0x19ec90d, (q31_t)0xf1b0b7a4, (q31_t)0x19bfaf9, (q31_t)0xf1bcf777,
+    (q31_t)0x1992f4c, (q31_t)0xf1c937d6, (q31_t)0x1966606, (q31_t)0xf1d578c2,
+    (q31_t)0x1939f29, (q31_t)0xf1e1ba3a, (q31_t)0x190dab4, (q31_t)0xf1edfc3d,
+    (q31_t)0x18e18a7, (q31_t)0xf1fa3ecb, (q31_t)0x18b5903, (q31_t)0xf20681e3,
+    (q31_t)0x1889bc6, (q31_t)0xf212c585, (q31_t)0x185e0f3, (q31_t)0xf21f09b1,
+    (q31_t)0x1832888, (q31_t)0xf22b4e66, (q31_t)0x1807285, (q31_t)0xf23793a3,
+    (q31_t)0x17dbeec, (q31_t)0xf243d968, (q31_t)0x17b0dbb, (q31_t)0xf2501fb5,
+    (q31_t)0x1785ef4, (q31_t)0xf25c6688, (q31_t)0x175b296, (q31_t)0xf268ade3,
+    (q31_t)0x17308a1, (q31_t)0xf274f5c3, (q31_t)0x1706115, (q31_t)0xf2813e2a,
+    (q31_t)0x16dbbf3, (q31_t)0xf28d8715, (q31_t)0x16b193a, (q31_t)0xf299d085,
+    (q31_t)0x16878eb, (q31_t)0xf2a61a7a, (q31_t)0x165db05, (q31_t)0xf2b264f2,
+    (q31_t)0x1633f8a, (q31_t)0xf2beafed, (q31_t)0x160a678, (q31_t)0xf2cafb6b,
+    (q31_t)0x15e0fd1, (q31_t)0xf2d7476c, (q31_t)0x15b7b94, (q31_t)0xf2e393ef,
+    (q31_t)0x158e9c1, (q31_t)0xf2efe0f2, (q31_t)0x1565a58, (q31_t)0xf2fc2e77,
+    (q31_t)0x153cd5a, (q31_t)0xf3087c7d, (q31_t)0x15142c6, (q31_t)0xf314cb02,
+    (q31_t)0x14eba9d, (q31_t)0xf3211a07, (q31_t)0x14c34df, (q31_t)0xf32d698a,
+    (q31_t)0x149b18b, (q31_t)0xf339b98d, (q31_t)0x14730a3, (q31_t)0xf3460a0d,
+    (q31_t)0x144b225, (q31_t)0xf3525b0b, (q31_t)0x1423613, (q31_t)0xf35eac86,
+    (q31_t)0x13fbc6c, (q31_t)0xf36afe7e, (q31_t)0x13d4530, (q31_t)0xf37750f2,
+    (q31_t)0x13ad060, (q31_t)0xf383a3e2, (q31_t)0x1385dfb, (q31_t)0xf38ff74d,
+    (q31_t)0x135ee02, (q31_t)0xf39c4b32, (q31_t)0x1338075, (q31_t)0xf3a89f92,
+    (q31_t)0x1311553, (q31_t)0xf3b4f46c, (q31_t)0x12eac9d, (q31_t)0xf3c149bf,
+    (q31_t)0x12c4653, (q31_t)0xf3cd9f8b, (q31_t)0x129e276, (q31_t)0xf3d9f5cf,
+    (q31_t)0x1278104, (q31_t)0xf3e64c8c, (q31_t)0x12521ff, (q31_t)0xf3f2a3bf,
+    (q31_t)0x122c566, (q31_t)0xf3fefb6a, (q31_t)0x1206b39, (q31_t)0xf40b538b,
+    (q31_t)0x11e1379, (q31_t)0xf417ac22, (q31_t)0x11bbe26, (q31_t)0xf424052f,
+    (q31_t)0x1196b3f, (q31_t)0xf4305eb0, (q31_t)0x1171ac6, (q31_t)0xf43cb8a7,
+    (q31_t)0x114ccb9, (q31_t)0xf4491311, (q31_t)0x1128119, (q31_t)0xf4556def,
+    (q31_t)0x11037e6, (q31_t)0xf461c940, (q31_t)0x10df120, (q31_t)0xf46e2504,
+    (q31_t)0x10bacc8, (q31_t)0xf47a8139, (q31_t)0x1096add, (q31_t)0xf486dde1,
+    (q31_t)0x1072b5f, (q31_t)0xf4933afa, (q31_t)0x104ee4f, (q31_t)0xf49f9884,
+    (q31_t)0x102b3ac, (q31_t)0xf4abf67e, (q31_t)0x1007b77, (q31_t)0xf4b854e7,
+    (q31_t)0xfe45b0, (q31_t)0xf4c4b3c0, (q31_t)0xfc1257, (q31_t)0xf4d11308,
+    (q31_t)0xf9e16b, (q31_t)0xf4dd72be, (q31_t)0xf7b2ee, (q31_t)0xf4e9d2e3,
+    (q31_t)0xf586df, (q31_t)0xf4f63374, (q31_t)0xf35d3e, (q31_t)0xf5029473,
+    (q31_t)0xf1360b, (q31_t)0xf50ef5de, (q31_t)0xef1147, (q31_t)0xf51b57b5,
+    (q31_t)0xeceef1, (q31_t)0xf527b9f7, (q31_t)0xeacf09, (q31_t)0xf5341ca5,
+    (q31_t)0xe8b190, (q31_t)0xf5407fbd, (q31_t)0xe69686, (q31_t)0xf54ce33f,
+    (q31_t)0xe47deb, (q31_t)0xf559472b, (q31_t)0xe267be, (q31_t)0xf565ab80,
+    (q31_t)0xe05401, (q31_t)0xf572103d, (q31_t)0xde42b2, (q31_t)0xf57e7563,
+    (q31_t)0xdc33d2, (q31_t)0xf58adaf0, (q31_t)0xda2762, (q31_t)0xf59740e5,
+    (q31_t)0xd81d61, (q31_t)0xf5a3a740, (q31_t)0xd615cf, (q31_t)0xf5b00e02,
+    (q31_t)0xd410ad, (q31_t)0xf5bc7529, (q31_t)0xd20dfa, (q31_t)0xf5c8dcb6,
+    (q31_t)0xd00db6, (q31_t)0xf5d544a7, (q31_t)0xce0fe3, (q31_t)0xf5e1acfd,
+    (q31_t)0xcc147f, (q31_t)0xf5ee15b7, (q31_t)0xca1b8a, (q31_t)0xf5fa7ed4,
+    (q31_t)0xc82506, (q31_t)0xf606e854, (q31_t)0xc630f2, (q31_t)0xf6135237,
+    (q31_t)0xc43f4d, (q31_t)0xf61fbc7b, (q31_t)0xc25019, (q31_t)0xf62c2721,
+    (q31_t)0xc06355, (q31_t)0xf6389228, (q31_t)0xbe7901, (q31_t)0xf644fd8f,
+    (q31_t)0xbc911d, (q31_t)0xf6516956, (q31_t)0xbaabaa, (q31_t)0xf65dd57d,
+    (q31_t)0xb8c8a7, (q31_t)0xf66a4203, (q31_t)0xb6e815, (q31_t)0xf676aee8,
+    (q31_t)0xb509f3, (q31_t)0xf6831c2b, (q31_t)0xb32e42, (q31_t)0xf68f89cb,
+    (q31_t)0xb15502, (q31_t)0xf69bf7c9, (q31_t)0xaf7e33, (q31_t)0xf6a86623,
+    (q31_t)0xada9d4, (q31_t)0xf6b4d4d9, (q31_t)0xabd7e6, (q31_t)0xf6c143ec,
+    (q31_t)0xaa086a, (q31_t)0xf6cdb359, (q31_t)0xa83b5e, (q31_t)0xf6da2321,
+    (q31_t)0xa670c4, (q31_t)0xf6e69344, (q31_t)0xa4a89b, (q31_t)0xf6f303c0,
+    (q31_t)0xa2e2e3, (q31_t)0xf6ff7496, (q31_t)0xa11f9d, (q31_t)0xf70be5c4,
+    (q31_t)0x9f5ec8, (q31_t)0xf718574b, (q31_t)0x9da065, (q31_t)0xf724c92a,
+    (q31_t)0x9be473, (q31_t)0xf7313b60, (q31_t)0x9a2af3, (q31_t)0xf73daded,
+    (q31_t)0x9873e4, (q31_t)0xf74a20d0, (q31_t)0x96bf48, (q31_t)0xf756940a,
+    (q31_t)0x950d1d, (q31_t)0xf7630799, (q31_t)0x935d64, (q31_t)0xf76f7b7d,
+    (q31_t)0x91b01d, (q31_t)0xf77befb5, (q31_t)0x900548, (q31_t)0xf7886442,
+    (q31_t)0x8e5ce5, (q31_t)0xf794d922, (q31_t)0x8cb6f5, (q31_t)0xf7a14e55,
+    (q31_t)0x8b1376, (q31_t)0xf7adc3db, (q31_t)0x89726a, (q31_t)0xf7ba39b3,
+    (q31_t)0x87d3d0, (q31_t)0xf7c6afdc, (q31_t)0x8637a9, (q31_t)0xf7d32657,
+    (q31_t)0x849df4, (q31_t)0xf7df9d22, (q31_t)0x8306b2, (q31_t)0xf7ec143e,
+    (q31_t)0x8171e2, (q31_t)0xf7f88ba9, (q31_t)0x7fdf85, (q31_t)0xf8050364,
+    (q31_t)0x7e4f9b, (q31_t)0xf8117b6d, (q31_t)0x7cc223, (q31_t)0xf81df3c5,
+    (q31_t)0x7b371e, (q31_t)0xf82a6c6a, (q31_t)0x79ae8c, (q31_t)0xf836e55d,
+    (q31_t)0x78286e, (q31_t)0xf8435e9d, (q31_t)0x76a4c2, (q31_t)0xf84fd829,
+    (q31_t)0x752389, (q31_t)0xf85c5201, (q31_t)0x73a4c3, (q31_t)0xf868cc24,
+    (q31_t)0x722871, (q31_t)0xf8754692, (q31_t)0x70ae92, (q31_t)0xf881c14b,
+    (q31_t)0x6f3726, (q31_t)0xf88e3c4d, (q31_t)0x6dc22e, (q31_t)0xf89ab799,
+    (q31_t)0x6c4fa8, (q31_t)0xf8a7332e, (q31_t)0x6adf97, (q31_t)0xf8b3af0c,
+    (q31_t)0x6971f9, (q31_t)0xf8c02b31, (q31_t)0x6806ce, (q31_t)0xf8cca79e,
+    (q31_t)0x669e18, (q31_t)0xf8d92452, (q31_t)0x6537d4, (q31_t)0xf8e5a14d,
+    (q31_t)0x63d405, (q31_t)0xf8f21e8e, (q31_t)0x6272aa, (q31_t)0xf8fe9c15,
+    (q31_t)0x6113c2, (q31_t)0xf90b19e0, (q31_t)0x5fb74e, (q31_t)0xf91797f0,
+    (q31_t)0x5e5d4e, (q31_t)0xf9241645, (q31_t)0x5d05c3, (q31_t)0xf93094dd,
+    (q31_t)0x5bb0ab, (q31_t)0xf93d13b8, (q31_t)0x5a5e07, (q31_t)0xf94992d7,
+    (q31_t)0x590dd8, (q31_t)0xf9561237, (q31_t)0x57c01d, (q31_t)0xf96291d9,
+    (q31_t)0x5674d6, (q31_t)0xf96f11bc, (q31_t)0x552c03, (q31_t)0xf97b91e1,
+    (q31_t)0x53e5a5, (q31_t)0xf9881245, (q31_t)0x52a1bb, (q31_t)0xf99492ea,
+    (q31_t)0x516045, (q31_t)0xf9a113cd, (q31_t)0x502145, (q31_t)0xf9ad94f0,
+    (q31_t)0x4ee4b8, (q31_t)0xf9ba1651, (q31_t)0x4daaa1, (q31_t)0xf9c697f0,
+    (q31_t)0x4c72fe, (q31_t)0xf9d319cc, (q31_t)0x4b3dcf, (q31_t)0xf9df9be6,
+    (q31_t)0x4a0b16, (q31_t)0xf9ec1e3b, (q31_t)0x48dad1, (q31_t)0xf9f8a0cd,
+    (q31_t)0x47ad01, (q31_t)0xfa05239a, (q31_t)0x4681a6, (q31_t)0xfa11a6a3,
+    (q31_t)0x4558c0, (q31_t)0xfa1e29e5, (q31_t)0x44324f, (q31_t)0xfa2aad62,
+    (q31_t)0x430e53, (q31_t)0xfa373119, (q31_t)0x41eccc, (q31_t)0xfa43b508,
+    (q31_t)0x40cdba, (q31_t)0xfa503930, (q31_t)0x3fb11d, (q31_t)0xfa5cbd91,
+    (q31_t)0x3e96f6, (q31_t)0xfa694229, (q31_t)0x3d7f44, (q31_t)0xfa75c6f8,
+    (q31_t)0x3c6a07, (q31_t)0xfa824bfd, (q31_t)0x3b573f, (q31_t)0xfa8ed139,
+    (q31_t)0x3a46ed, (q31_t)0xfa9b56ab, (q31_t)0x393910, (q31_t)0xfaa7dc52,
+    (q31_t)0x382da8, (q31_t)0xfab4622d, (q31_t)0x3724b6, (q31_t)0xfac0e83d,
+    (q31_t)0x361e3a, (q31_t)0xfacd6e81, (q31_t)0x351a33, (q31_t)0xfad9f4f8,
+    (q31_t)0x3418a2, (q31_t)0xfae67ba2, (q31_t)0x331986, (q31_t)0xfaf3027e,
+    (q31_t)0x321ce0, (q31_t)0xfaff898c, (q31_t)0x3122b0, (q31_t)0xfb0c10cb,
+    (q31_t)0x302af5, (q31_t)0xfb18983b, (q31_t)0x2f35b1, (q31_t)0xfb251fdc,
+    (q31_t)0x2e42e2, (q31_t)0xfb31a7ac, (q31_t)0x2d5289, (q31_t)0xfb3e2fac,
+    (q31_t)0x2c64a6, (q31_t)0xfb4ab7db, (q31_t)0x2b7939, (q31_t)0xfb574039,
+    (q31_t)0x2a9042, (q31_t)0xfb63c8c4, (q31_t)0x29a9c1, (q31_t)0xfb70517d,
+    (q31_t)0x28c5b6, (q31_t)0xfb7cda63, (q31_t)0x27e421, (q31_t)0xfb896375,
+    (q31_t)0x270502, (q31_t)0xfb95ecb4, (q31_t)0x262859, (q31_t)0xfba2761e,
+    (q31_t)0x254e27, (q31_t)0xfbaeffb3, (q31_t)0x24766a, (q31_t)0xfbbb8973,
+    (q31_t)0x23a124, (q31_t)0xfbc8135c, (q31_t)0x22ce54, (q31_t)0xfbd49d70,
+    (q31_t)0x21fdfb, (q31_t)0xfbe127ac, (q31_t)0x213018, (q31_t)0xfbedb212,
+    (q31_t)0x2064ab, (q31_t)0xfbfa3c9f, (q31_t)0x1f9bb5, (q31_t)0xfc06c754,
+    (q31_t)0x1ed535, (q31_t)0xfc135231, (q31_t)0x1e112b, (q31_t)0xfc1fdd34,
+    (q31_t)0x1d4f99, (q31_t)0xfc2c685d, (q31_t)0x1c907c, (q31_t)0xfc38f3ac,
+    (q31_t)0x1bd3d6, (q31_t)0xfc457f21, (q31_t)0x1b19a7, (q31_t)0xfc520aba,
+    (q31_t)0x1a61ee, (q31_t)0xfc5e9678, (q31_t)0x19acac, (q31_t)0xfc6b2259,
+    (q31_t)0x18f9e1, (q31_t)0xfc77ae5e, (q31_t)0x18498c, (q31_t)0xfc843a85,
+    (q31_t)0x179bae, (q31_t)0xfc90c6cf, (q31_t)0x16f047, (q31_t)0xfc9d533b,
+    (q31_t)0x164757, (q31_t)0xfca9dfc8, (q31_t)0x15a0dd, (q31_t)0xfcb66c77,
+    (q31_t)0x14fcda, (q31_t)0xfcc2f945, (q31_t)0x145b4e, (q31_t)0xfccf8634,
+    (q31_t)0x13bc39, (q31_t)0xfcdc1342, (q31_t)0x131f9b, (q31_t)0xfce8a06f,
+    (q31_t)0x128574, (q31_t)0xfcf52dbb, (q31_t)0x11edc3, (q31_t)0xfd01bb24,
+    (q31_t)0x11588a, (q31_t)0xfd0e48ab, (q31_t)0x10c5c7, (q31_t)0xfd1ad650,
+    (q31_t)0x10357c, (q31_t)0xfd276410, (q31_t)0xfa7a8, (q31_t)0xfd33f1ed,
+    (q31_t)0xf1c4a, (q31_t)0xfd407fe6, (q31_t)0xe9364, (q31_t)0xfd4d0df9,
+    (q31_t)0xe0cf5, (q31_t)0xfd599c28, (q31_t)0xd88fd, (q31_t)0xfd662a70,
+    (q31_t)0xd077c, (q31_t)0xfd72b8d2, (q31_t)0xc8872, (q31_t)0xfd7f474d,
+    (q31_t)0xc0be0, (q31_t)0xfd8bd5e1, (q31_t)0xb91c4, (q31_t)0xfd98648d,
+    (q31_t)0xb1a20, (q31_t)0xfda4f351, (q31_t)0xaa4f3, (q31_t)0xfdb1822c,
+    (q31_t)0xa323d, (q31_t)0xfdbe111e, (q31_t)0x9c1ff, (q31_t)0xfdcaa027,
+    (q31_t)0x95438, (q31_t)0xfdd72f45, (q31_t)0x8e8e8, (q31_t)0xfde3be78,
+    (q31_t)0x8800f, (q31_t)0xfdf04dc0, (q31_t)0x819ae, (q31_t)0xfdfcdd1d,
+    (q31_t)0x7b5c4, (q31_t)0xfe096c8d, (q31_t)0x75452, (q31_t)0xfe15fc11,
+    (q31_t)0x6f556, (q31_t)0xfe228ba7, (q31_t)0x698d3, (q31_t)0xfe2f1b50,
+    (q31_t)0x63ec6, (q31_t)0xfe3bab0b, (q31_t)0x5e731, (q31_t)0xfe483ad8,
+    (q31_t)0x59214, (q31_t)0xfe54cab5, (q31_t)0x53f6e, (q31_t)0xfe615aa3,
+    (q31_t)0x4ef3f, (q31_t)0xfe6deaa1, (q31_t)0x4a188, (q31_t)0xfe7a7aae,
+    (q31_t)0x45648, (q31_t)0xfe870aca, (q31_t)0x40d80, (q31_t)0xfe939af5,
+    (q31_t)0x3c72f, (q31_t)0xfea02b2e, (q31_t)0x38356, (q31_t)0xfeacbb74,
+    (q31_t)0x341f4, (q31_t)0xfeb94bc8, (q31_t)0x3030a, (q31_t)0xfec5dc28,
+    (q31_t)0x2c697, (q31_t)0xfed26c94, (q31_t)0x28c9c, (q31_t)0xfedefd0c,
+    (q31_t)0x25519, (q31_t)0xfeeb8d8f, (q31_t)0x2200d, (q31_t)0xfef81e1d,
+    (q31_t)0x1ed78, (q31_t)0xff04aeb5, (q31_t)0x1bd5c, (q31_t)0xff113f56,
+    (q31_t)0x18fb6, (q31_t)0xff1dd001, (q31_t)0x16489, (q31_t)0xff2a60b4,
+    (q31_t)0x13bd3, (q31_t)0xff36f170, (q31_t)0x11594, (q31_t)0xff438234,
+    (q31_t)0xf1ce, (q31_t)0xff5012fe, (q31_t)0xd07e, (q31_t)0xff5ca3d0,
+    (q31_t)0xb1a7, (q31_t)0xff6934a8, (q31_t)0x9547, (q31_t)0xff75c585,
+    (q31_t)0x7b5f, (q31_t)0xff825668, (q31_t)0x63ee, (q31_t)0xff8ee750,
+    (q31_t)0x4ef5, (q31_t)0xff9b783c, (q31_t)0x3c74, (q31_t)0xffa8092c,
+    (q31_t)0x2c6a, (q31_t)0xffb49a1f, (q31_t)0x1ed8, (q31_t)0xffc12b16,
+    (q31_t)0x13bd, (q31_t)0xffcdbc0f, (q31_t)0xb1a, (q31_t)0xffda4d09,
+    (q31_t)0x4ef, (q31_t)0xffe6de05, (q31_t)0x13c, (q31_t)0xfff36f02,
+    (q31_t)0x0, (q31_t)0x0, (q31_t)0x13c, (q31_t)0xc90fe,
+    (q31_t)0x4ef, (q31_t)0x1921fb, (q31_t)0xb1a, (q31_t)0x25b2f7,
+    (q31_t)0x13bd, (q31_t)0x3243f1, (q31_t)0x1ed8, (q31_t)0x3ed4ea,
+    (q31_t)0x2c6a, (q31_t)0x4b65e1, (q31_t)0x3c74, (q31_t)0x57f6d4,
+    (q31_t)0x4ef5, (q31_t)0x6487c4, (q31_t)0x63ee, (q31_t)0x7118b0,
+    (q31_t)0x7b5f, (q31_t)0x7da998, (q31_t)0x9547, (q31_t)0x8a3a7b,
+    (q31_t)0xb1a7, (q31_t)0x96cb58, (q31_t)0xd07e, (q31_t)0xa35c30,
+    (q31_t)0xf1ce, (q31_t)0xafed02, (q31_t)0x11594, (q31_t)0xbc7dcc,
+    (q31_t)0x13bd3, (q31_t)0xc90e90, (q31_t)0x16489, (q31_t)0xd59f4c,
+    (q31_t)0x18fb6, (q31_t)0xe22fff, (q31_t)0x1bd5c, (q31_t)0xeec0aa,
+    (q31_t)0x1ed78, (q31_t)0xfb514b, (q31_t)0x2200d, (q31_t)0x107e1e3,
+    (q31_t)0x25519, (q31_t)0x1147271, (q31_t)0x28c9c, (q31_t)0x12102f4,
+    (q31_t)0x2c697, (q31_t)0x12d936c, (q31_t)0x3030a, (q31_t)0x13a23d8,
+    (q31_t)0x341f4, (q31_t)0x146b438, (q31_t)0x38356, (q31_t)0x153448c,
+    (q31_t)0x3c72f, (q31_t)0x15fd4d2, (q31_t)0x40d80, (q31_t)0x16c650b,
+    (q31_t)0x45648, (q31_t)0x178f536, (q31_t)0x4a188, (q31_t)0x1858552,
+    (q31_t)0x4ef3f, (q31_t)0x192155f, (q31_t)0x53f6e, (q31_t)0x19ea55d,
+    (q31_t)0x59214, (q31_t)0x1ab354b, (q31_t)0x5e731, (q31_t)0x1b7c528,
+    (q31_t)0x63ec6, (q31_t)0x1c454f5, (q31_t)0x698d3, (q31_t)0x1d0e4b0,
+    (q31_t)0x6f556, (q31_t)0x1dd7459, (q31_t)0x75452, (q31_t)0x1ea03ef,
+    (q31_t)0x7b5c4, (q31_t)0x1f69373, (q31_t)0x819ae, (q31_t)0x20322e3,
+    (q31_t)0x8800f, (q31_t)0x20fb240, (q31_t)0x8e8e8, (q31_t)0x21c4188,
+    (q31_t)0x95438, (q31_t)0x228d0bb, (q31_t)0x9c1ff, (q31_t)0x2355fd9,
+    (q31_t)0xa323d, (q31_t)0x241eee2, (q31_t)0xaa4f3, (q31_t)0x24e7dd4,
+    (q31_t)0xb1a20, (q31_t)0x25b0caf, (q31_t)0xb91c4, (q31_t)0x2679b73,
+    (q31_t)0xc0be0, (q31_t)0x2742a1f, (q31_t)0xc8872, (q31_t)0x280b8b3,
+    (q31_t)0xd077c, (q31_t)0x28d472e, (q31_t)0xd88fd, (q31_t)0x299d590,
+    (q31_t)0xe0cf5, (q31_t)0x2a663d8, (q31_t)0xe9364, (q31_t)0x2b2f207,
+    (q31_t)0xf1c4a, (q31_t)0x2bf801a, (q31_t)0xfa7a8, (q31_t)0x2cc0e13,
+    (q31_t)0x10357c, (q31_t)0x2d89bf0, (q31_t)0x10c5c7, (q31_t)0x2e529b0,
+    (q31_t)0x11588a, (q31_t)0x2f1b755, (q31_t)0x11edc3, (q31_t)0x2fe44dc,
+    (q31_t)0x128574, (q31_t)0x30ad245, (q31_t)0x131f9b, (q31_t)0x3175f91,
+    (q31_t)0x13bc39, (q31_t)0x323ecbe, (q31_t)0x145b4e, (q31_t)0x33079cc,
+    (q31_t)0x14fcda, (q31_t)0x33d06bb, (q31_t)0x15a0dd, (q31_t)0x3499389,
+    (q31_t)0x164757, (q31_t)0x3562038, (q31_t)0x16f047, (q31_t)0x362acc5,
+    (q31_t)0x179bae, (q31_t)0x36f3931, (q31_t)0x18498c, (q31_t)0x37bc57b,
+    (q31_t)0x18f9e1, (q31_t)0x38851a2, (q31_t)0x19acac, (q31_t)0x394dda7,
+    (q31_t)0x1a61ee, (q31_t)0x3a16988, (q31_t)0x1b19a7, (q31_t)0x3adf546,
+    (q31_t)0x1bd3d6, (q31_t)0x3ba80df, (q31_t)0x1c907c, (q31_t)0x3c70c54,
+    (q31_t)0x1d4f99, (q31_t)0x3d397a3, (q31_t)0x1e112b, (q31_t)0x3e022cc,
+    (q31_t)0x1ed535, (q31_t)0x3ecadcf, (q31_t)0x1f9bb5, (q31_t)0x3f938ac,
+    (q31_t)0x2064ab, (q31_t)0x405c361, (q31_t)0x213018, (q31_t)0x4124dee,
+    (q31_t)0x21fdfb, (q31_t)0x41ed854, (q31_t)0x22ce54, (q31_t)0x42b6290,
+    (q31_t)0x23a124, (q31_t)0x437eca4, (q31_t)0x24766a, (q31_t)0x444768d,
+    (q31_t)0x254e27, (q31_t)0x451004d, (q31_t)0x262859, (q31_t)0x45d89e2,
+    (q31_t)0x270502, (q31_t)0x46a134c, (q31_t)0x27e421, (q31_t)0x4769c8b,
+    (q31_t)0x28c5b6, (q31_t)0x483259d, (q31_t)0x29a9c1, (q31_t)0x48fae83,
+    (q31_t)0x2a9042, (q31_t)0x49c373c, (q31_t)0x2b7939, (q31_t)0x4a8bfc7,
+    (q31_t)0x2c64a6, (q31_t)0x4b54825, (q31_t)0x2d5289, (q31_t)0x4c1d054,
+    (q31_t)0x2e42e2, (q31_t)0x4ce5854, (q31_t)0x2f35b1, (q31_t)0x4dae024,
+    (q31_t)0x302af5, (q31_t)0x4e767c5, (q31_t)0x3122b0, (q31_t)0x4f3ef35,
+    (q31_t)0x321ce0, (q31_t)0x5007674, (q31_t)0x331986, (q31_t)0x50cfd82,
+    (q31_t)0x3418a2, (q31_t)0x519845e, (q31_t)0x351a33, (q31_t)0x5260b08,
+    (q31_t)0x361e3a, (q31_t)0x532917f, (q31_t)0x3724b6, (q31_t)0x53f17c3,
+    (q31_t)0x382da8, (q31_t)0x54b9dd3, (q31_t)0x393910, (q31_t)0x55823ae,
+    (q31_t)0x3a46ed, (q31_t)0x564a955, (q31_t)0x3b573f, (q31_t)0x5712ec7,
+    (q31_t)0x3c6a07, (q31_t)0x57db403, (q31_t)0x3d7f44, (q31_t)0x58a3908,
+    (q31_t)0x3e96f6, (q31_t)0x596bdd7, (q31_t)0x3fb11d, (q31_t)0x5a3426f,
+    (q31_t)0x40cdba, (q31_t)0x5afc6d0, (q31_t)0x41eccc, (q31_t)0x5bc4af8,
+    (q31_t)0x430e53, (q31_t)0x5c8cee7, (q31_t)0x44324f, (q31_t)0x5d5529e,
+    (q31_t)0x4558c0, (q31_t)0x5e1d61b, (q31_t)0x4681a6, (q31_t)0x5ee595d,
+    (q31_t)0x47ad01, (q31_t)0x5fadc66, (q31_t)0x48dad1, (q31_t)0x6075f33,
+    (q31_t)0x4a0b16, (q31_t)0x613e1c5, (q31_t)0x4b3dcf, (q31_t)0x620641a,
+    (q31_t)0x4c72fe, (q31_t)0x62ce634, (q31_t)0x4daaa1, (q31_t)0x6396810,
+    (q31_t)0x4ee4b8, (q31_t)0x645e9af, (q31_t)0x502145, (q31_t)0x6526b10,
+    (q31_t)0x516045, (q31_t)0x65eec33, (q31_t)0x52a1bb, (q31_t)0x66b6d16,
+    (q31_t)0x53e5a5, (q31_t)0x677edbb, (q31_t)0x552c03, (q31_t)0x6846e1f,
+    (q31_t)0x5674d6, (q31_t)0x690ee44, (q31_t)0x57c01d, (q31_t)0x69d6e27,
+    (q31_t)0x590dd8, (q31_t)0x6a9edc9, (q31_t)0x5a5e07, (q31_t)0x6b66d29,
+    (q31_t)0x5bb0ab, (q31_t)0x6c2ec48, (q31_t)0x5d05c3, (q31_t)0x6cf6b23,
+    (q31_t)0x5e5d4e, (q31_t)0x6dbe9bb, (q31_t)0x5fb74e, (q31_t)0x6e86810,
+    (q31_t)0x6113c2, (q31_t)0x6f4e620, (q31_t)0x6272aa, (q31_t)0x70163eb,
+    (q31_t)0x63d405, (q31_t)0x70de172, (q31_t)0x6537d4, (q31_t)0x71a5eb3,
+    (q31_t)0x669e18, (q31_t)0x726dbae, (q31_t)0x6806ce, (q31_t)0x7335862,
+    (q31_t)0x6971f9, (q31_t)0x73fd4cf, (q31_t)0x6adf97, (q31_t)0x74c50f4,
+    (q31_t)0x6c4fa8, (q31_t)0x758ccd2, (q31_t)0x6dc22e, (q31_t)0x7654867,
+    (q31_t)0x6f3726, (q31_t)0x771c3b3, (q31_t)0x70ae92, (q31_t)0x77e3eb5,
+    (q31_t)0x722871, (q31_t)0x78ab96e, (q31_t)0x73a4c3, (q31_t)0x79733dc,
+    (q31_t)0x752389, (q31_t)0x7a3adff, (q31_t)0x76a4c2, (q31_t)0x7b027d7,
+    (q31_t)0x78286e, (q31_t)0x7bca163, (q31_t)0x79ae8c, (q31_t)0x7c91aa3,
+    (q31_t)0x7b371e, (q31_t)0x7d59396, (q31_t)0x7cc223, (q31_t)0x7e20c3b,
+    (q31_t)0x7e4f9b, (q31_t)0x7ee8493, (q31_t)0x7fdf85, (q31_t)0x7fafc9c,
+    (q31_t)0x8171e2, (q31_t)0x8077457, (q31_t)0x8306b2, (q31_t)0x813ebc2,
+    (q31_t)0x849df4, (q31_t)0x82062de, (q31_t)0x8637a9, (q31_t)0x82cd9a9,
+    (q31_t)0x87d3d0, (q31_t)0x8395024, (q31_t)0x89726a, (q31_t)0x845c64d,
+    (q31_t)0x8b1376, (q31_t)0x8523c25, (q31_t)0x8cb6f5, (q31_t)0x85eb1ab,
+    (q31_t)0x8e5ce5, (q31_t)0x86b26de, (q31_t)0x900548, (q31_t)0x8779bbe,
+    (q31_t)0x91b01d, (q31_t)0x884104b, (q31_t)0x935d64, (q31_t)0x8908483,
+    (q31_t)0x950d1d, (q31_t)0x89cf867, (q31_t)0x96bf48, (q31_t)0x8a96bf6,
+    (q31_t)0x9873e4, (q31_t)0x8b5df30, (q31_t)0x9a2af3, (q31_t)0x8c25213,
+    (q31_t)0x9be473, (q31_t)0x8cec4a0, (q31_t)0x9da065, (q31_t)0x8db36d6,
+    (q31_t)0x9f5ec8, (q31_t)0x8e7a8b5, (q31_t)0xa11f9d, (q31_t)0x8f41a3c,
+    (q31_t)0xa2e2e3, (q31_t)0x9008b6a, (q31_t)0xa4a89b, (q31_t)0x90cfc40,
+    (q31_t)0xa670c4, (q31_t)0x9196cbc, (q31_t)0xa83b5e, (q31_t)0x925dcdf,
+    (q31_t)0xaa086a, (q31_t)0x9324ca7, (q31_t)0xabd7e6, (q31_t)0x93ebc14,
+    (q31_t)0xada9d4, (q31_t)0x94b2b27, (q31_t)0xaf7e33, (q31_t)0x95799dd,
+    (q31_t)0xb15502, (q31_t)0x9640837, (q31_t)0xb32e42, (q31_t)0x9707635,
+    (q31_t)0xb509f3, (q31_t)0x97ce3d5, (q31_t)0xb6e815, (q31_t)0x9895118,
+    (q31_t)0xb8c8a7, (q31_t)0x995bdfd, (q31_t)0xbaabaa, (q31_t)0x9a22a83,
+    (q31_t)0xbc911d, (q31_t)0x9ae96aa, (q31_t)0xbe7901, (q31_t)0x9bb0271,
+    (q31_t)0xc06355, (q31_t)0x9c76dd8, (q31_t)0xc25019, (q31_t)0x9d3d8df,
+    (q31_t)0xc43f4d, (q31_t)0x9e04385, (q31_t)0xc630f2, (q31_t)0x9ecadc9,
+    (q31_t)0xc82506, (q31_t)0x9f917ac, (q31_t)0xca1b8a, (q31_t)0xa05812c,
+    (q31_t)0xcc147f, (q31_t)0xa11ea49, (q31_t)0xce0fe3, (q31_t)0xa1e5303,
+    (q31_t)0xd00db6, (q31_t)0xa2abb59, (q31_t)0xd20dfa, (q31_t)0xa37234a,
+    (q31_t)0xd410ad, (q31_t)0xa438ad7, (q31_t)0xd615cf, (q31_t)0xa4ff1fe,
+    (q31_t)0xd81d61, (q31_t)0xa5c58c0, (q31_t)0xda2762, (q31_t)0xa68bf1b,
+    (q31_t)0xdc33d2, (q31_t)0xa752510, (q31_t)0xde42b2, (q31_t)0xa818a9d,
+    (q31_t)0xe05401, (q31_t)0xa8defc3, (q31_t)0xe267be, (q31_t)0xa9a5480,
+    (q31_t)0xe47deb, (q31_t)0xaa6b8d5, (q31_t)0xe69686, (q31_t)0xab31cc1,
+    (q31_t)0xe8b190, (q31_t)0xabf8043, (q31_t)0xeacf09, (q31_t)0xacbe35b,
+    (q31_t)0xeceef1, (q31_t)0xad84609, (q31_t)0xef1147, (q31_t)0xae4a84b,
+    (q31_t)0xf1360b, (q31_t)0xaf10a22, (q31_t)0xf35d3e, (q31_t)0xafd6b8d,
+    (q31_t)0xf586df, (q31_t)0xb09cc8c, (q31_t)0xf7b2ee, (q31_t)0xb162d1d,
+    (q31_t)0xf9e16b, (q31_t)0xb228d42, (q31_t)0xfc1257, (q31_t)0xb2eecf8,
+    (q31_t)0xfe45b0, (q31_t)0xb3b4c40, (q31_t)0x1007b77, (q31_t)0xb47ab19,
+    (q31_t)0x102b3ac, (q31_t)0xb540982, (q31_t)0x104ee4f, (q31_t)0xb60677c,
+    (q31_t)0x1072b5f, (q31_t)0xb6cc506, (q31_t)0x1096add, (q31_t)0xb79221f,
+    (q31_t)0x10bacc8, (q31_t)0xb857ec7, (q31_t)0x10df120, (q31_t)0xb91dafc,
+    (q31_t)0x11037e6, (q31_t)0xb9e36c0, (q31_t)0x1128119, (q31_t)0xbaa9211,
+    (q31_t)0x114ccb9, (q31_t)0xbb6ecef, (q31_t)0x1171ac6, (q31_t)0xbc34759,
+    (q31_t)0x1196b3f, (q31_t)0xbcfa150, (q31_t)0x11bbe26, (q31_t)0xbdbfad1,
+    (q31_t)0x11e1379, (q31_t)0xbe853de, (q31_t)0x1206b39, (q31_t)0xbf4ac75,
+    (q31_t)0x122c566, (q31_t)0xc010496, (q31_t)0x12521ff, (q31_t)0xc0d5c41,
+    (q31_t)0x1278104, (q31_t)0xc19b374, (q31_t)0x129e276, (q31_t)0xc260a31,
+    (q31_t)0x12c4653, (q31_t)0xc326075, (q31_t)0x12eac9d, (q31_t)0xc3eb641,
+    (q31_t)0x1311553, (q31_t)0xc4b0b94, (q31_t)0x1338075, (q31_t)0xc57606e,
+    (q31_t)0x135ee02, (q31_t)0xc63b4ce, (q31_t)0x1385dfb, (q31_t)0xc7008b3,
+    (q31_t)0x13ad060, (q31_t)0xc7c5c1e, (q31_t)0x13d4530, (q31_t)0xc88af0e,
+    (q31_t)0x13fbc6c, (q31_t)0xc950182, (q31_t)0x1423613, (q31_t)0xca1537a,
+    (q31_t)0x144b225, (q31_t)0xcada4f5, (q31_t)0x14730a3, (q31_t)0xcb9f5f3,
+    (q31_t)0x149b18b, (q31_t)0xcc64673, (q31_t)0x14c34df, (q31_t)0xcd29676,
+    (q31_t)0x14eba9d, (q31_t)0xcdee5f9, (q31_t)0x15142c6, (q31_t)0xceb34fe,
+    (q31_t)0x153cd5a, (q31_t)0xcf78383, (q31_t)0x1565a58, (q31_t)0xd03d189,
+    (q31_t)0x158e9c1, (q31_t)0xd101f0e, (q31_t)0x15b7b94, (q31_t)0xd1c6c11,
+    (q31_t)0x15e0fd1, (q31_t)0xd28b894, (q31_t)0x160a678, (q31_t)0xd350495,
+    (q31_t)0x1633f8a, (q31_t)0xd415013, (q31_t)0x165db05, (q31_t)0xd4d9b0e,
+    (q31_t)0x16878eb, (q31_t)0xd59e586, (q31_t)0x16b193a, (q31_t)0xd662f7b,
+    (q31_t)0x16dbbf3, (q31_t)0xd7278eb, (q31_t)0x1706115, (q31_t)0xd7ec1d6,
+    (q31_t)0x17308a1, (q31_t)0xd8b0a3d, (q31_t)0x175b296, (q31_t)0xd97521d,
+    (q31_t)0x1785ef4, (q31_t)0xda39978, (q31_t)0x17b0dbb, (q31_t)0xdafe04b,
+    (q31_t)0x17dbeec, (q31_t)0xdbc2698, (q31_t)0x1807285, (q31_t)0xdc86c5d,
+    (q31_t)0x1832888, (q31_t)0xdd4b19a, (q31_t)0x185e0f3, (q31_t)0xde0f64f,
+    (q31_t)0x1889bc6, (q31_t)0xded3a7b, (q31_t)0x18b5903, (q31_t)0xdf97e1d,
+    (q31_t)0x18e18a7, (q31_t)0xe05c135, (q31_t)0x190dab4, (q31_t)0xe1203c3,
+    (q31_t)0x1939f29, (q31_t)0xe1e45c6, (q31_t)0x1966606, (q31_t)0xe2a873e,
+    (q31_t)0x1992f4c, (q31_t)0xe36c82a, (q31_t)0x19bfaf9, (q31_t)0xe430889,
+    (q31_t)0x19ec90d, (q31_t)0xe4f485c, (q31_t)0x1a1998a, (q31_t)0xe5b87a2,
+    (q31_t)0x1a46c6e, (q31_t)0xe67c65a, (q31_t)0x1a741b9, (q31_t)0xe740483,
+    (q31_t)0x1aa196c, (q31_t)0xe80421e, (q31_t)0x1acf386, (q31_t)0xe8c7f2a,
+    (q31_t)0x1afd007, (q31_t)0xe98bba7, (q31_t)0x1b2aef0, (q31_t)0xea4f793,
+    (q31_t)0x1b5903f, (q31_t)0xeb132ef, (q31_t)0x1b873f5, (q31_t)0xebd6db9,
+    (q31_t)0x1bb5a11, (q31_t)0xec9a7f3, (q31_t)0x1be4294, (q31_t)0xed5e19a,
+    (q31_t)0x1c12d7e, (q31_t)0xee21aaf, (q31_t)0x1c41ace, (q31_t)0xeee5331,
+    (q31_t)0x1c70a84, (q31_t)0xefa8b20, (q31_t)0x1c9fca0, (q31_t)0xf06c27a,
+    (q31_t)0x1ccf122, (q31_t)0xf12f941, (q31_t)0x1cfe80a, (q31_t)0xf1f2f73,
+    (q31_t)0x1d2e158, (q31_t)0xf2b650f, (q31_t)0x1d5dd0c, (q31_t)0xf379a16,
+    (q31_t)0x1d8db25, (q31_t)0xf43ce86, (q31_t)0x1dbdba3, (q31_t)0xf500260,
+    (q31_t)0x1dede87, (q31_t)0xf5c35a3, (q31_t)0x1e1e3d0, (q31_t)0xf68684e,
+    (q31_t)0x1e4eb7e, (q31_t)0xf749a61, (q31_t)0x1e7f591, (q31_t)0xf80cbdc,
+    (q31_t)0x1eb0209, (q31_t)0xf8cfcbe, (q31_t)0x1ee10e5, (q31_t)0xf992d06,
+    (q31_t)0x1f12227, (q31_t)0xfa55cb4, (q31_t)0x1f435cc, (q31_t)0xfb18bc8,
+    (q31_t)0x1f74bd6, (q31_t)0xfbdba40, (q31_t)0x1fa6445, (q31_t)0xfc9e81e,
+    (q31_t)0x1fd7f17, (q31_t)0xfd6155f, (q31_t)0x2009c4e, (q31_t)0xfe24205,
+    (q31_t)0x203bbe8, (q31_t)0xfee6e0d, (q31_t)0x206dde6, (q31_t)0xffa9979,
+    (q31_t)0x20a0248, (q31_t)0x1006c446, (q31_t)0x20d290d, (q31_t)0x1012ee76,
+    (q31_t)0x2105236, (q31_t)0x101f1807, (q31_t)0x2137dc2, (q31_t)0x102b40f8,
+    (q31_t)0x216abb1, (q31_t)0x1037694b, (q31_t)0x219dc03, (q31_t)0x104390fd,
+    (q31_t)0x21d0eb8, (q31_t)0x104fb80e, (q31_t)0x22043d0, (q31_t)0x105bde7f,
+    (q31_t)0x2237b4b, (q31_t)0x1068044e, (q31_t)0x226b528, (q31_t)0x1074297b,
+    (q31_t)0x229f167, (q31_t)0x10804e06, (q31_t)0x22d3009, (q31_t)0x108c71ee,
+    (q31_t)0x230710d, (q31_t)0x10989532, (q31_t)0x233b473, (q31_t)0x10a4b7d3,
+    (q31_t)0x236fa3b, (q31_t)0x10b0d9d0, (q31_t)0x23a4265, (q31_t)0x10bcfb28,
+    (q31_t)0x23d8cf1, (q31_t)0x10c91bda, (q31_t)0x240d9de, (q31_t)0x10d53be7,
+    (q31_t)0x244292c, (q31_t)0x10e15b4e, (q31_t)0x2477adc, (q31_t)0x10ed7a0e,
+    (q31_t)0x24aceed, (q31_t)0x10f99827, (q31_t)0x24e255e, (q31_t)0x1105b599,
+    (q31_t)0x2517e31, (q31_t)0x1111d263, (q31_t)0x254d965, (q31_t)0x111dee84,
+    (q31_t)0x25836f9, (q31_t)0x112a09fc, (q31_t)0x25b96ee, (q31_t)0x113624cb,
+    (q31_t)0x25ef943, (q31_t)0x11423ef0, (q31_t)0x2625df8, (q31_t)0x114e586a,
+    (q31_t)0x265c50e, (q31_t)0x115a713a, (q31_t)0x2692e83, (q31_t)0x1166895f,
+    (q31_t)0x26c9a58, (q31_t)0x1172a0d7, (q31_t)0x270088e, (q31_t)0x117eb7a4,
+    (q31_t)0x2737922, (q31_t)0x118acdc4, (q31_t)0x276ec16, (q31_t)0x1196e337,
+    (q31_t)0x27a616a, (q31_t)0x11a2f7fc, (q31_t)0x27dd91c, (q31_t)0x11af0c13,
+    (q31_t)0x281532e, (q31_t)0x11bb1f7c, (q31_t)0x284cf9f, (q31_t)0x11c73235,
+    (q31_t)0x2884e6e, (q31_t)0x11d3443f, (q31_t)0x28bcf9c, (q31_t)0x11df5599,
+    (q31_t)0x28f5329, (q31_t)0x11eb6643, (q31_t)0x292d914, (q31_t)0x11f7763c,
+    (q31_t)0x296615d, (q31_t)0x12038584, (q31_t)0x299ec05, (q31_t)0x120f941a,
+    (q31_t)0x29d790a, (q31_t)0x121ba1fd, (q31_t)0x2a1086d, (q31_t)0x1227af2e,
+    (q31_t)0x2a49a2e, (q31_t)0x1233bbac, (q31_t)0x2a82e4d, (q31_t)0x123fc776,
+    (q31_t)0x2abc4c9, (q31_t)0x124bd28c, (q31_t)0x2af5da2, (q31_t)0x1257dced,
+    (q31_t)0x2b2f8d8, (q31_t)0x1263e699, (q31_t)0x2b6966c, (q31_t)0x126fef90,
+    (q31_t)0x2ba365c, (q31_t)0x127bf7d1, (q31_t)0x2bdd8a9, (q31_t)0x1287ff5b,
+    (q31_t)0x2c17d52, (q31_t)0x1294062f, (q31_t)0x2c52459, (q31_t)0x12a00c4b,
+    (q31_t)0x2c8cdbb, (q31_t)0x12ac11af, (q31_t)0x2cc7979, (q31_t)0x12b8165b,
+    (q31_t)0x2d02794, (q31_t)0x12c41a4f, (q31_t)0x2d3d80a, (q31_t)0x12d01d89,
+    (q31_t)0x2d78add, (q31_t)0x12dc2009, (q31_t)0x2db400a, (q31_t)0x12e821cf,
+    (q31_t)0x2def794, (q31_t)0x12f422db, (q31_t)0x2e2b178, (q31_t)0x1300232c,
+    (q31_t)0x2e66db8, (q31_t)0x130c22c1, (q31_t)0x2ea2c53, (q31_t)0x1318219a,
+    (q31_t)0x2eded49, (q31_t)0x13241fb6, (q31_t)0x2f1b099, (q31_t)0x13301d16,
+    (q31_t)0x2f57644, (q31_t)0x133c19b8, (q31_t)0x2f93e4a, (q31_t)0x1348159d,
+    (q31_t)0x2fd08a9, (q31_t)0x135410c3, (q31_t)0x300d563, (q31_t)0x13600b2a,
+    (q31_t)0x304a477, (q31_t)0x136c04d2, (q31_t)0x30875e5, (q31_t)0x1377fdbb,
+    (q31_t)0x30c49ad, (q31_t)0x1383f5e3, (q31_t)0x3101fce, (q31_t)0x138fed4b,
+    (q31_t)0x313f848, (q31_t)0x139be3f2, (q31_t)0x317d31c, (q31_t)0x13a7d9d7,
+    (q31_t)0x31bb049, (q31_t)0x13b3cefa, (q31_t)0x31f8fcf, (q31_t)0x13bfc35b,
+    (q31_t)0x32371ae, (q31_t)0x13cbb6f8, (q31_t)0x32755e5, (q31_t)0x13d7a9d3,
+    (q31_t)0x32b3c75, (q31_t)0x13e39be9, (q31_t)0x32f255e, (q31_t)0x13ef8d3c,
+    (q31_t)0x333109e, (q31_t)0x13fb7dc9, (q31_t)0x336fe37, (q31_t)0x14076d91,
+    (q31_t)0x33aee27, (q31_t)0x14135c94, (q31_t)0x33ee070, (q31_t)0x141f4ad1,
+    (q31_t)0x342d510, (q31_t)0x142b3846, (q31_t)0x346cc07, (q31_t)0x143724f5,
+    (q31_t)0x34ac556, (q31_t)0x144310dd, (q31_t)0x34ec0fc, (q31_t)0x144efbfc,
+    (q31_t)0x352bef9, (q31_t)0x145ae653, (q31_t)0x356bf4d, (q31_t)0x1466cfe1,
+    (q31_t)0x35ac1f7, (q31_t)0x1472b8a5, (q31_t)0x35ec6f8, (q31_t)0x147ea0a0,
+    (q31_t)0x362ce50, (q31_t)0x148a87d1, (q31_t)0x366d7fd, (q31_t)0x14966e36,
+    (q31_t)0x36ae401, (q31_t)0x14a253d1, (q31_t)0x36ef25b, (q31_t)0x14ae38a0,
+    (q31_t)0x373030a, (q31_t)0x14ba1ca3, (q31_t)0x377160f, (q31_t)0x14c5ffd9,
+    (q31_t)0x37b2b6a, (q31_t)0x14d1e242, (q31_t)0x37f4319, (q31_t)0x14ddc3de,
+    (q31_t)0x3835d1e, (q31_t)0x14e9a4ac, (q31_t)0x3877978, (q31_t)0x14f584ac,
+    (q31_t)0x38b9827, (q31_t)0x150163dc, (q31_t)0x38fb92a, (q31_t)0x150d423d,
+    (q31_t)0x393dc82, (q31_t)0x15191fcf, (q31_t)0x398022f, (q31_t)0x1524fc90,
+    (q31_t)0x39c2a2f, (q31_t)0x1530d881, (q31_t)0x3a05484, (q31_t)0x153cb3a0,
+    (q31_t)0x3a4812c, (q31_t)0x15488dee, (q31_t)0x3a8b028, (q31_t)0x1554676a,
+    (q31_t)0x3ace178, (q31_t)0x15604013, (q31_t)0x3b1151b, (q31_t)0x156c17e9,
+    (q31_t)0x3b54b11, (q31_t)0x1577eeec, (q31_t)0x3b9835a, (q31_t)0x1583c51b,
+    (q31_t)0x3bdbdf6, (q31_t)0x158f9a76, (q31_t)0x3c1fae5, (q31_t)0x159b6efb,
+    (q31_t)0x3c63a26, (q31_t)0x15a742ac, (q31_t)0x3ca7bba, (q31_t)0x15b31587,
+    (q31_t)0x3cebfa0, (q31_t)0x15bee78c, (q31_t)0x3d305d8, (q31_t)0x15cab8ba,
+    (q31_t)0x3d74e62, (q31_t)0x15d68911, (q31_t)0x3db993e, (q31_t)0x15e25890,
+    (q31_t)0x3dfe66c, (q31_t)0x15ee2738, (q31_t)0x3e435ea, (q31_t)0x15f9f507,
+    (q31_t)0x3e887bb, (q31_t)0x1605c1fd, (q31_t)0x3ecdbdc, (q31_t)0x16118e1a,
+    (q31_t)0x3f1324e, (q31_t)0x161d595d, (q31_t)0x3f58b10, (q31_t)0x162923c5,
+    (q31_t)0x3f9e624, (q31_t)0x1634ed53, (q31_t)0x3fe4388, (q31_t)0x1640b606,
+    (q31_t)0x402a33c, (q31_t)0x164c7ddd, (q31_t)0x4070540, (q31_t)0x165844d8,
+    (q31_t)0x40b6994, (q31_t)0x16640af7, (q31_t)0x40fd037, (q31_t)0x166fd039,
+    (q31_t)0x414392b, (q31_t)0x167b949d, (q31_t)0x418a46d, (q31_t)0x16875823,
+    (q31_t)0x41d11ff, (q31_t)0x16931acb, (q31_t)0x42181e0, (q31_t)0x169edc94,
+    (q31_t)0x425f410, (q31_t)0x16aa9d7e, (q31_t)0x42a688f, (q31_t)0x16b65d88,
+    (q31_t)0x42edf5c, (q31_t)0x16c21cb2, (q31_t)0x4335877, (q31_t)0x16cddafb,
+    (q31_t)0x437d3e1, (q31_t)0x16d99864, (q31_t)0x43c5199, (q31_t)0x16e554ea,
+    (q31_t)0x440d19e, (q31_t)0x16f1108f, (q31_t)0x44553f2, (q31_t)0x16fccb51,
+    (q31_t)0x449d892, (q31_t)0x17088531, (q31_t)0x44e5f80, (q31_t)0x17143e2d,
+    (q31_t)0x452e8bc, (q31_t)0x171ff646, (q31_t)0x4577444, (q31_t)0x172bad7a,
+    (q31_t)0x45c0219, (q31_t)0x173763c9, (q31_t)0x460923b, (q31_t)0x17431933,
+    (q31_t)0x46524a9, (q31_t)0x174ecdb8, (q31_t)0x469b963, (q31_t)0x175a8157,
+    (q31_t)0x46e5069, (q31_t)0x1766340f, (q31_t)0x472e9bc, (q31_t)0x1771e5e0,
+    (q31_t)0x477855a, (q31_t)0x177d96ca, (q31_t)0x47c2344, (q31_t)0x178946cc,
+    (q31_t)0x480c379, (q31_t)0x1794f5e6, (q31_t)0x48565f9, (q31_t)0x17a0a417,
+    (q31_t)0x48a0ac4, (q31_t)0x17ac515f, (q31_t)0x48eb1db, (q31_t)0x17b7fdbd,
+    (q31_t)0x4935b3c, (q31_t)0x17c3a931, (q31_t)0x49806e7, (q31_t)0x17cf53bb,
+    (q31_t)0x49cb4dd, (q31_t)0x17dafd59, (q31_t)0x4a1651c, (q31_t)0x17e6a60c,
+    (q31_t)0x4a617a6, (q31_t)0x17f24dd3, (q31_t)0x4aacc7a, (q31_t)0x17fdf4ae,
+    (q31_t)0x4af8397, (q31_t)0x18099a9c, (q31_t)0x4b43cfd, (q31_t)0x18153f9d,
+    (q31_t)0x4b8f8ad, (q31_t)0x1820e3b0, (q31_t)0x4bdb6a6, (q31_t)0x182c86d5,
+    (q31_t)0x4c276e8, (q31_t)0x1838290c, (q31_t)0x4c73972, (q31_t)0x1843ca53,
+    (q31_t)0x4cbfe45, (q31_t)0x184f6aab, (q31_t)0x4d0c560, (q31_t)0x185b0a13,
+    (q31_t)0x4d58ec3, (q31_t)0x1866a88a, (q31_t)0x4da5a6f, (q31_t)0x18724611,
+    (q31_t)0x4df2862, (q31_t)0x187de2a7, (q31_t)0x4e3f89c, (q31_t)0x18897e4a,
+    (q31_t)0x4e8cb1e, (q31_t)0x189518fc, (q31_t)0x4ed9fe7, (q31_t)0x18a0b2bb,
+    (q31_t)0x4f276f7, (q31_t)0x18ac4b87, (q31_t)0x4f7504e, (q31_t)0x18b7e35f,
+    (q31_t)0x4fc2bec, (q31_t)0x18c37a44, (q31_t)0x50109d0, (q31_t)0x18cf1034,
+    (q31_t)0x505e9fb, (q31_t)0x18daa52f, (q31_t)0x50acc6b, (q31_t)0x18e63935,
+    (q31_t)0x50fb121, (q31_t)0x18f1cc45, (q31_t)0x514981d, (q31_t)0x18fd5e5f,
+    (q31_t)0x519815f, (q31_t)0x1908ef82, (q31_t)0x51e6ce6, (q31_t)0x19147fae,
+    (q31_t)0x5235ab2, (q31_t)0x19200ee3, (q31_t)0x5284ac3, (q31_t)0x192b9d1f,
+    (q31_t)0x52d3d18, (q31_t)0x19372a64, (q31_t)0x53231b3, (q31_t)0x1942b6af,
+    (q31_t)0x5372891, (q31_t)0x194e4201, (q31_t)0x53c21b4, (q31_t)0x1959cc5a,
+    (q31_t)0x5411d1b, (q31_t)0x196555b8, (q31_t)0x5461ac6, (q31_t)0x1970de1b,
+    (q31_t)0x54b1ab4, (q31_t)0x197c6584, (q31_t)0x5501ce5, (q31_t)0x1987ebf0,
+    (q31_t)0x555215a, (q31_t)0x19937161, (q31_t)0x55a2812, (q31_t)0x199ef5d6,
+    (q31_t)0x55f310d, (q31_t)0x19aa794d, (q31_t)0x5643c4a, (q31_t)0x19b5fbc8,
+    (q31_t)0x56949ca, (q31_t)0x19c17d44, (q31_t)0x56e598c, (q31_t)0x19ccfdc2,
+    (q31_t)0x5736b90, (q31_t)0x19d87d42, (q31_t)0x5787fd6, (q31_t)0x19e3fbc3,
+    (q31_t)0x57d965d, (q31_t)0x19ef7944, (q31_t)0x582af26, (q31_t)0x19faf5c5,
+    (q31_t)0x587ca31, (q31_t)0x1a067145, (q31_t)0x58ce77c, (q31_t)0x1a11ebc5,
+    (q31_t)0x5920708, (q31_t)0x1a1d6544, (q31_t)0x59728d5, (q31_t)0x1a28ddc0,
+    (q31_t)0x59c4ce3, (q31_t)0x1a34553b, (q31_t)0x5a17330, (q31_t)0x1a3fcbb3,
+    (q31_t)0x5a69bbe, (q31_t)0x1a4b4128, (q31_t)0x5abc68c, (q31_t)0x1a56b599,
+    (q31_t)0x5b0f399, (q31_t)0x1a622907, (q31_t)0x5b622e6, (q31_t)0x1a6d9b70,
+    (q31_t)0x5bb5472, (q31_t)0x1a790cd4, (q31_t)0x5c0883d, (q31_t)0x1a847d33,
+    (q31_t)0x5c5be47, (q31_t)0x1a8fec8c, (q31_t)0x5caf690, (q31_t)0x1a9b5adf,
+    (q31_t)0x5d03118, (q31_t)0x1aa6c82b, (q31_t)0x5d56ddd, (q31_t)0x1ab23471,
+    (q31_t)0x5daace1, (q31_t)0x1abd9faf, (q31_t)0x5dfee22, (q31_t)0x1ac909e5,
+    (q31_t)0x5e531a1, (q31_t)0x1ad47312, (q31_t)0x5ea775e, (q31_t)0x1adfdb37,
+    (q31_t)0x5efbf58, (q31_t)0x1aeb4253, (q31_t)0x5f5098f, (q31_t)0x1af6a865,
+    (q31_t)0x5fa5603, (q31_t)0x1b020d6c, (q31_t)0x5ffa4b3, (q31_t)0x1b0d716a,
+    (q31_t)0x604f5a0, (q31_t)0x1b18d45c, (q31_t)0x60a48c9, (q31_t)0x1b243643,
+    (q31_t)0x60f9e2e, (q31_t)0x1b2f971e, (q31_t)0x614f5cf, (q31_t)0x1b3af6ec,
+    (q31_t)0x61a4fac, (q31_t)0x1b4655ae, (q31_t)0x61fabc4, (q31_t)0x1b51b363,
+    (q31_t)0x6250a18, (q31_t)0x1b5d100a, (q31_t)0x62a6aa6, (q31_t)0x1b686ba3,
+    (q31_t)0x62fcd6f, (q31_t)0x1b73c62d, (q31_t)0x6353273, (q31_t)0x1b7f1fa9,
+    (q31_t)0x63a99b1, (q31_t)0x1b8a7815, (q31_t)0x6400329, (q31_t)0x1b95cf71,
+    (q31_t)0x6456edb, (q31_t)0x1ba125bd, (q31_t)0x64adcc7, (q31_t)0x1bac7af9,
+    (q31_t)0x6504ced, (q31_t)0x1bb7cf23, (q31_t)0x655bf4c, (q31_t)0x1bc3223c,
+    (q31_t)0x65b33e4, (q31_t)0x1bce7442, (q31_t)0x660aab5, (q31_t)0x1bd9c537,
+    (q31_t)0x66623be, (q31_t)0x1be51518, (q31_t)0x66b9f01, (q31_t)0x1bf063e6,
+    (q31_t)0x6711c7b, (q31_t)0x1bfbb1a0, (q31_t)0x6769c2e, (q31_t)0x1c06fe46,
+    (q31_t)0x67c1e18, (q31_t)0x1c1249d8, (q31_t)0x681a23a, (q31_t)0x1c1d9454,
+    (q31_t)0x6872894, (q31_t)0x1c28ddbb, (q31_t)0x68cb124, (q31_t)0x1c34260c,
+    (q31_t)0x6923bec, (q31_t)0x1c3f6d47, (q31_t)0x697c8eb, (q31_t)0x1c4ab36b,
+    (q31_t)0x69d5820, (q31_t)0x1c55f878, (q31_t)0x6a2e98b, (q31_t)0x1c613c6d,
+    (q31_t)0x6a87d2d, (q31_t)0x1c6c7f4a, (q31_t)0x6ae1304, (q31_t)0x1c77c10e,
+    (q31_t)0x6b3ab12, (q31_t)0x1c8301b9, (q31_t)0x6b94554, (q31_t)0x1c8e414b,
+    (q31_t)0x6bee1cd, (q31_t)0x1c997fc4, (q31_t)0x6c4807a, (q31_t)0x1ca4bd21,
+    (q31_t)0x6ca215c, (q31_t)0x1caff965, (q31_t)0x6cfc472, (q31_t)0x1cbb348d,
+    (q31_t)0x6d569be, (q31_t)0x1cc66e99, (q31_t)0x6db113d, (q31_t)0x1cd1a78a,
+    (q31_t)0x6e0baf0, (q31_t)0x1cdcdf5e, (q31_t)0x6e666d7, (q31_t)0x1ce81615,
+    (q31_t)0x6ec14f2, (q31_t)0x1cf34baf, (q31_t)0x6f1c540, (q31_t)0x1cfe802b,
+    (q31_t)0x6f777c1, (q31_t)0x1d09b389, (q31_t)0x6fd2c75, (q31_t)0x1d14e5c9,
+    (q31_t)0x702e35c, (q31_t)0x1d2016e9, (q31_t)0x7089c75, (q31_t)0x1d2b46ea,
+    (q31_t)0x70e57c0, (q31_t)0x1d3675cb, (q31_t)0x714153e, (q31_t)0x1d41a38c,
+    (q31_t)0x719d4ed, (q31_t)0x1d4cd02c, (q31_t)0x71f96ce, (q31_t)0x1d57fbaa,
+    (q31_t)0x7255ae0, (q31_t)0x1d632608, (q31_t)0x72b2123, (q31_t)0x1d6e4f43,
+    (q31_t)0x730e997, (q31_t)0x1d79775c, (q31_t)0x736b43c, (q31_t)0x1d849e51,
+    (q31_t)0x73c8111, (q31_t)0x1d8fc424, (q31_t)0x7425016, (q31_t)0x1d9ae8d2,
+    (q31_t)0x748214c, (q31_t)0x1da60c5d, (q31_t)0x74df4b1, (q31_t)0x1db12ec3,
+    (q31_t)0x753ca46, (q31_t)0x1dbc5004, (q31_t)0x759a20a, (q31_t)0x1dc7701f,
+    (q31_t)0x75f7bfe, (q31_t)0x1dd28f15, (q31_t)0x7655820, (q31_t)0x1dddace4,
+    (q31_t)0x76b3671, (q31_t)0x1de8c98c, (q31_t)0x77116f0, (q31_t)0x1df3e50d,
+    (q31_t)0x776f99d, (q31_t)0x1dfeff67, (q31_t)0x77cde79, (q31_t)0x1e0a1898,
+    (q31_t)0x782c582, (q31_t)0x1e1530a1, (q31_t)0x788aeb9, (q31_t)0x1e204781,
+    (q31_t)0x78e9a1d, (q31_t)0x1e2b5d38, (q31_t)0x79487ae, (q31_t)0x1e3671c5,
+    (q31_t)0x79a776c, (q31_t)0x1e418528, (q31_t)0x7a06957, (q31_t)0x1e4c9760,
+    (q31_t)0x7a65d6e, (q31_t)0x1e57a86d, (q31_t)0x7ac53b1, (q31_t)0x1e62b84f,
+    (q31_t)0x7b24c20, (q31_t)0x1e6dc705, (q31_t)0x7b846ba, (q31_t)0x1e78d48e,
+    (q31_t)0x7be4381, (q31_t)0x1e83e0eb, (q31_t)0x7c44272, (q31_t)0x1e8eec1b,
+    (q31_t)0x7ca438f, (q31_t)0x1e99f61d, (q31_t)0x7d046d6, (q31_t)0x1ea4fef0,
+    (q31_t)0x7d64c47, (q31_t)0x1eb00696, (q31_t)0x7dc53e3, (q31_t)0x1ebb0d0d,
+    (q31_t)0x7e25daa, (q31_t)0x1ec61254, (q31_t)0x7e8699a, (q31_t)0x1ed1166b,
+    (q31_t)0x7ee77b3, (q31_t)0x1edc1953, (q31_t)0x7f487f6, (q31_t)0x1ee71b0a,
+    (q31_t)0x7fa9a62, (q31_t)0x1ef21b90, (q31_t)0x800aef7, (q31_t)0x1efd1ae4,
+    (q31_t)0x806c5b5, (q31_t)0x1f081907, (q31_t)0x80cde9b, (q31_t)0x1f1315f7,
+    (q31_t)0x812f9a9, (q31_t)0x1f1e11b5, (q31_t)0x81916df, (q31_t)0x1f290c3f,
+    (q31_t)0x81f363d, (q31_t)0x1f340596, (q31_t)0x82557c3, (q31_t)0x1f3efdb9,
+    (q31_t)0x82b7b70, (q31_t)0x1f49f4a8, (q31_t)0x831a143, (q31_t)0x1f54ea62,
+    (q31_t)0x837c93e, (q31_t)0x1f5fdee6, (q31_t)0x83df35f, (q31_t)0x1f6ad235,
+    (q31_t)0x8441fa6, (q31_t)0x1f75c44e, (q31_t)0x84a4e14, (q31_t)0x1f80b531,
+    (q31_t)0x8507ea7, (q31_t)0x1f8ba4dc, (q31_t)0x856b160, (q31_t)0x1f969350,
+    (q31_t)0x85ce63e, (q31_t)0x1fa1808c, (q31_t)0x8631d42, (q31_t)0x1fac6c91,
+    (q31_t)0x869566a, (q31_t)0x1fb7575c, (q31_t)0x86f91b7, (q31_t)0x1fc240ef,
+    (q31_t)0x875cf28, (q31_t)0x1fcd2948, (q31_t)0x87c0ebd, (q31_t)0x1fd81067,
+    (q31_t)0x8825077, (q31_t)0x1fe2f64c, (q31_t)0x8889454, (q31_t)0x1feddaf6,
+    (q31_t)0x88eda54, (q31_t)0x1ff8be65, (q31_t)0x8952278, (q31_t)0x2003a099,
+    (q31_t)0x89b6cbf, (q31_t)0x200e8190, (q31_t)0x8a1b928, (q31_t)0x2019614c,
+    (q31_t)0x8a807b4, (q31_t)0x20243fca, (q31_t)0x8ae5862, (q31_t)0x202f1d0b,
+    (q31_t)0x8b4ab32, (q31_t)0x2039f90f, (q31_t)0x8bb0023, (q31_t)0x2044d3d4,
+    (q31_t)0x8c15736, (q31_t)0x204fad5b, (q31_t)0x8c7b06b, (q31_t)0x205a85a3,
+    (q31_t)0x8ce0bc0, (q31_t)0x20655cac, (q31_t)0x8d46936, (q31_t)0x20703275,
+    (q31_t)0x8dac8cd, (q31_t)0x207b06fe, (q31_t)0x8e12a84, (q31_t)0x2085da46,
+    (q31_t)0x8e78e5b, (q31_t)0x2090ac4d, (q31_t)0x8edf452, (q31_t)0x209b7d13,
+    (q31_t)0x8f45c68, (q31_t)0x20a64c97, (q31_t)0x8fac69e, (q31_t)0x20b11ad9,
+    (q31_t)0x90132f2, (q31_t)0x20bbe7d8, (q31_t)0x907a166, (q31_t)0x20c6b395,
+    (q31_t)0x90e11f7, (q31_t)0x20d17e0d, (q31_t)0x91484a8, (q31_t)0x20dc4742,
+    (q31_t)0x91af976, (q31_t)0x20e70f32, (q31_t)0x9217062, (q31_t)0x20f1d5de,
+    (q31_t)0x927e96b, (q31_t)0x20fc9b44, (q31_t)0x92e6492, (q31_t)0x21075f65,
+    (q31_t)0x934e1d6, (q31_t)0x21122240, (q31_t)0x93b6137, (q31_t)0x211ce3d5,
+    (q31_t)0x941e2b4, (q31_t)0x2127a423, (q31_t)0x948664d, (q31_t)0x21326329,
+    (q31_t)0x94eec03, (q31_t)0x213d20e8, (q31_t)0x95573d4, (q31_t)0x2147dd5f,
+    (q31_t)0x95bfdc1, (q31_t)0x2152988d, (q31_t)0x96289c9, (q31_t)0x215d5273,
+    (q31_t)0x96917ec, (q31_t)0x21680b0f, (q31_t)0x96fa82a, (q31_t)0x2172c262,
+    (q31_t)0x9763a83, (q31_t)0x217d786a, (q31_t)0x97ccef5, (q31_t)0x21882d28,
+    (q31_t)0x9836582, (q31_t)0x2192e09b, (q31_t)0x989fe29, (q31_t)0x219d92c2,
+    (q31_t)0x99098e9, (q31_t)0x21a8439e, (q31_t)0x99735c2, (q31_t)0x21b2f32e,
+    (q31_t)0x99dd4b4, (q31_t)0x21bda171, (q31_t)0x9a475bf, (q31_t)0x21c84e67,
+    (q31_t)0x9ab18e3, (q31_t)0x21d2fa0f, (q31_t)0x9b1be1e, (q31_t)0x21dda46a,
+    (q31_t)0x9b86572, (q31_t)0x21e84d76, (q31_t)0x9bf0edd, (q31_t)0x21f2f534,
+    (q31_t)0x9c5ba60, (q31_t)0x21fd9ba3, (q31_t)0x9cc67fa, (q31_t)0x220840c2,
+    (q31_t)0x9d317ab, (q31_t)0x2212e492, (q31_t)0x9d9c973, (q31_t)0x221d8711,
+    (q31_t)0x9e07d51, (q31_t)0x2228283f, (q31_t)0x9e73346, (q31_t)0x2232c81c,
+    (q31_t)0x9edeb50, (q31_t)0x223d66a8, (q31_t)0x9f4a570, (q31_t)0x224803e2,
+    (q31_t)0x9fb61a5, (q31_t)0x22529fca, (q31_t)0xa021fef, (q31_t)0x225d3a5e,
+    (q31_t)0xa08e04f, (q31_t)0x2267d3a0, (q31_t)0xa0fa2c3, (q31_t)0x22726b8e,
+    (q31_t)0xa16674b, (q31_t)0x227d0228, (q31_t)0xa1d2de7, (q31_t)0x2287976e,
+    (q31_t)0xa23f698, (q31_t)0x22922b5e, (q31_t)0xa2ac15b, (q31_t)0x229cbdfa,
+    (q31_t)0xa318e32, (q31_t)0x22a74f40, (q31_t)0xa385d1d, (q31_t)0x22b1df30,
+    (q31_t)0xa3f2e19, (q31_t)0x22bc6dca, (q31_t)0xa460129, (q31_t)0x22c6fb0c,
+    (q31_t)0xa4cd64b, (q31_t)0x22d186f8, (q31_t)0xa53ad7e, (q31_t)0x22dc118c,
+    (q31_t)0xa5a86c4, (q31_t)0x22e69ac8, (q31_t)0xa61621b, (q31_t)0x22f122ab,
+    (q31_t)0xa683f83, (q31_t)0x22fba936, (q31_t)0xa6f1efc, (q31_t)0x23062e67,
+    (q31_t)0xa760086, (q31_t)0x2310b23e, (q31_t)0xa7ce420, (q31_t)0x231b34bc,
+    (q31_t)0xa83c9ca, (q31_t)0x2325b5df, (q31_t)0xa8ab184, (q31_t)0x233035a7,
+    (q31_t)0xa919b4e, (q31_t)0x233ab414, (q31_t)0xa988727, (q31_t)0x23453125,
+    (q31_t)0xa9f750f, (q31_t)0x234facda, (q31_t)0xaa66506, (q31_t)0x235a2733,
+    (q31_t)0xaad570c, (q31_t)0x2364a02e, (q31_t)0xab44b1f, (q31_t)0x236f17cc,
+    (q31_t)0xabb4141, (q31_t)0x23798e0d, (q31_t)0xac23971, (q31_t)0x238402ef,
+    (q31_t)0xac933ae, (q31_t)0x238e7673, (q31_t)0xad02ff8, (q31_t)0x2398e898,
+    (q31_t)0xad72e4f, (q31_t)0x23a3595e, (q31_t)0xade2eb3, (q31_t)0x23adc8c4,
+    (q31_t)0xae53123, (q31_t)0x23b836ca, (q31_t)0xaec35a0, (q31_t)0x23c2a36f,
+    (q31_t)0xaf33c28, (q31_t)0x23cd0eb3, (q31_t)0xafa44bc, (q31_t)0x23d77896,
+    (q31_t)0xb014f5b, (q31_t)0x23e1e117, (q31_t)0xb085c05, (q31_t)0x23ec4837,
+    (q31_t)0xb0f6aba, (q31_t)0x23f6adf3, (q31_t)0xb167b79, (q31_t)0x2401124d,
+    (q31_t)0xb1d8e43, (q31_t)0x240b7543, (q31_t)0xb24a316, (q31_t)0x2415d6d5,
+    (q31_t)0xb2bb9f4, (q31_t)0x24203704, (q31_t)0xb32d2da, (q31_t)0x242a95ce,
+    (q31_t)0xb39edca, (q31_t)0x2434f332, (q31_t)0xb410ac3, (q31_t)0x243f4f32,
+    (q31_t)0xb4829c4, (q31_t)0x2449a9cc, (q31_t)0xb4f4acd, (q31_t)0x245402ff,
+    (q31_t)0xb566ddf, (q31_t)0x245e5acc, (q31_t)0xb5d92f8, (q31_t)0x2468b132,
+    (q31_t)0xb64ba19, (q31_t)0x24730631, (q31_t)0xb6be341, (q31_t)0x247d59c8,
+    (q31_t)0xb730e70, (q31_t)0x2487abf7, (q31_t)0xb7a3ba5, (q31_t)0x2491fcbe,
+    (q31_t)0xb816ae1, (q31_t)0x249c4c1b, (q31_t)0xb889c23, (q31_t)0x24a69a0f,
+    (q31_t)0xb8fcf6b, (q31_t)0x24b0e699, (q31_t)0xb9704b9, (q31_t)0x24bb31ba,
+    (q31_t)0xb9e3c0b, (q31_t)0x24c57b6f, (q31_t)0xba57563, (q31_t)0x24cfc3ba,
+    (q31_t)0xbacb0bf, (q31_t)0x24da0a9a, (q31_t)0xbb3ee20, (q31_t)0x24e4500e,
+    (q31_t)0xbbb2d85, (q31_t)0x24ee9415, (q31_t)0xbc26eee, (q31_t)0x24f8d6b0,
+    (q31_t)0xbc9b25a, (q31_t)0x250317df, (q31_t)0xbd0f7ca, (q31_t)0x250d57a0,
+    (q31_t)0xbd83f3d, (q31_t)0x251795f3, (q31_t)0xbdf88b3, (q31_t)0x2521d2d8,
+    (q31_t)0xbe6d42b, (q31_t)0x252c0e4f, (q31_t)0xbee21a5, (q31_t)0x25364857,
+    (q31_t)0xbf57121, (q31_t)0x254080ef, (q31_t)0xbfcc29f, (q31_t)0x254ab818,
+    (q31_t)0xc04161e, (q31_t)0x2554edd1, (q31_t)0xc0b6b9e, (q31_t)0x255f2219,
+    (q31_t)0xc12c31f, (q31_t)0x256954f1, (q31_t)0xc1a1ca0, (q31_t)0x25738657,
+    (q31_t)0xc217822, (q31_t)0x257db64c, (q31_t)0xc28d5a3, (q31_t)0x2587e4cf,
+    (q31_t)0xc303524, (q31_t)0x259211df, (q31_t)0xc3796a5, (q31_t)0x259c3d7c,
+    (q31_t)0xc3efa25, (q31_t)0x25a667a7, (q31_t)0xc465fa3, (q31_t)0x25b0905d,
+    (q31_t)0xc4dc720, (q31_t)0x25bab7a0, (q31_t)0xc55309b, (q31_t)0x25c4dd6e,
+    (q31_t)0xc5c9c14, (q31_t)0x25cf01c8, (q31_t)0xc64098b, (q31_t)0x25d924ac,
+    (q31_t)0xc6b78ff, (q31_t)0x25e3461b, (q31_t)0xc72ea70, (q31_t)0x25ed6614,
+    (q31_t)0xc7a5dde, (q31_t)0x25f78497, (q31_t)0xc81d349, (q31_t)0x2601a1a2,
+    (q31_t)0xc894aaf, (q31_t)0x260bbd37, (q31_t)0xc90c412, (q31_t)0x2615d754,
+    (q31_t)0xc983f70, (q31_t)0x261feffa, (q31_t)0xc9fbcca, (q31_t)0x262a0727,
+    (q31_t)0xca73c1e, (q31_t)0x26341cdb, (q31_t)0xcaebd6e, (q31_t)0x263e3117,
+    (q31_t)0xcb640b8, (q31_t)0x264843d9, (q31_t)0xcbdc5fc, (q31_t)0x26525521,
+    (q31_t)0xcc54d3a, (q31_t)0x265c64ef, (q31_t)0xcccd671, (q31_t)0x26667342,
+    (q31_t)0xcd461a2, (q31_t)0x2670801a, (q31_t)0xcdbeecc, (q31_t)0x267a8b77,
+    (q31_t)0xce37def, (q31_t)0x26849558, (q31_t)0xceb0f0a, (q31_t)0x268e9dbd,
+    (q31_t)0xcf2a21d, (q31_t)0x2698a4a6, (q31_t)0xcfa3729, (q31_t)0x26a2aa11,
+    (q31_t)0xd01ce2b, (q31_t)0x26acadff, (q31_t)0xd096725, (q31_t)0x26b6b070,
+    (q31_t)0xd110216, (q31_t)0x26c0b162, (q31_t)0xd189efe, (q31_t)0x26cab0d6,
+    (q31_t)0xd203ddc, (q31_t)0x26d4aecb, (q31_t)0xd27deb0, (q31_t)0x26deab41,
+    (q31_t)0xd2f817b, (q31_t)0x26e8a637, (q31_t)0xd37263a, (q31_t)0x26f29fad,
+    (q31_t)0xd3eccef, (q31_t)0x26fc97a3, (q31_t)0xd467599, (q31_t)0x27068e18,
+    (q31_t)0xd4e2037, (q31_t)0x2710830c, (q31_t)0xd55ccca, (q31_t)0x271a767e,
+    (q31_t)0xd5d7b50, (q31_t)0x2724686e, (q31_t)0xd652bcb, (q31_t)0x272e58dc,
+    (q31_t)0xd6cde39, (q31_t)0x273847c8, (q31_t)0xd74929a, (q31_t)0x27423530,
+    (q31_t)0xd7c48ee, (q31_t)0x274c2115, (q31_t)0xd840134, (q31_t)0x27560b76,
+    (q31_t)0xd8bbb6d, (q31_t)0x275ff452, (q31_t)0xd937798, (q31_t)0x2769dbaa,
+    (q31_t)0xd9b35b4, (q31_t)0x2773c17d, (q31_t)0xda2f5c2, (q31_t)0x277da5cb,
+    (q31_t)0xdaab7c0, (q31_t)0x27878893, (q31_t)0xdb27bb0, (q31_t)0x279169d5,
+    (q31_t)0xdba4190, (q31_t)0x279b4990, (q31_t)0xdc20960, (q31_t)0x27a527c4,
+    (q31_t)0xdc9d320, (q31_t)0x27af0472, (q31_t)0xdd19ed0, (q31_t)0x27b8df97,
+    (q31_t)0xdd96c6f, (q31_t)0x27c2b934, (q31_t)0xde13bfd, (q31_t)0x27cc9149,
+    (q31_t)0xde90d79, (q31_t)0x27d667d5, (q31_t)0xdf0e0e4, (q31_t)0x27e03cd8,
+    (q31_t)0xdf8b63d, (q31_t)0x27ea1052, (q31_t)0xe008d84, (q31_t)0x27f3e241,
+    (q31_t)0xe0866b8, (q31_t)0x27fdb2a7, (q31_t)0xe1041d9, (q31_t)0x28078181,
+    (q31_t)0xe181ee8, (q31_t)0x28114ed0, (q31_t)0xe1ffde2, (q31_t)0x281b1a94,
+    (q31_t)0xe27dec9, (q31_t)0x2824e4cc, (q31_t)0xe2fc19c, (q31_t)0x282ead78,
+    (q31_t)0xe37a65b, (q31_t)0x28387498, (q31_t)0xe3f8d05, (q31_t)0x28423a2a,
+    (q31_t)0xe47759a, (q31_t)0x284bfe2f, (q31_t)0xe4f6019, (q31_t)0x2855c0a6,
+    (q31_t)0xe574c84, (q31_t)0x285f8190, (q31_t)0xe5f3ad8, (q31_t)0x286940ea,
+    (q31_t)0xe672b16, (q31_t)0x2872feb6, (q31_t)0xe6f1d3d, (q31_t)0x287cbaf3,
+    (q31_t)0xe77114e, (q31_t)0x288675a0, (q31_t)0xe7f0748, (q31_t)0x28902ebd,
+    (q31_t)0xe86ff2a, (q31_t)0x2899e64a, (q31_t)0xe8ef8f4, (q31_t)0x28a39c46,
+    (q31_t)0xe96f4a7, (q31_t)0x28ad50b1, (q31_t)0xe9ef241, (q31_t)0x28b7038b,
+    (q31_t)0xea6f1c2, (q31_t)0x28c0b4d2, (q31_t)0xeaef32b, (q31_t)0x28ca6488,
+    (q31_t)0xeb6f67a, (q31_t)0x28d412ab, (q31_t)0xebefbb0, (q31_t)0x28ddbf3b,
+    (q31_t)0xec702cb, (q31_t)0x28e76a37, (q31_t)0xecf0bcd, (q31_t)0x28f113a0,
+    (q31_t)0xed716b4, (q31_t)0x28fabb75, (q31_t)0xedf2380, (q31_t)0x290461b5,
+    (q31_t)0xee73231, (q31_t)0x290e0661, (q31_t)0xeef42c7, (q31_t)0x2917a977,
+    (q31_t)0xef75541, (q31_t)0x29214af8, (q31_t)0xeff699f, (q31_t)0x292aeae3,
+    (q31_t)0xf077fe1, (q31_t)0x29348937, (q31_t)0xf0f9805, (q31_t)0x293e25f5,
+    (q31_t)0xf17b20d, (q31_t)0x2947c11c, (q31_t)0xf1fcdf8, (q31_t)0x29515aab,
+    (q31_t)0xf27ebc5, (q31_t)0x295af2a3, (q31_t)0xf300b74, (q31_t)0x29648902,
+    (q31_t)0xf382d05, (q31_t)0x296e1dc9, (q31_t)0xf405077, (q31_t)0x2977b0f7,
+    (q31_t)0xf4875ca, (q31_t)0x2981428c, (q31_t)0xf509cfe, (q31_t)0x298ad287,
+    (q31_t)0xf58c613, (q31_t)0x299460e8, (q31_t)0xf60f108, (q31_t)0x299dedaf,
+    (q31_t)0xf691ddd, (q31_t)0x29a778db, (q31_t)0xf714c91, (q31_t)0x29b1026c,
+    (q31_t)0xf797d24, (q31_t)0x29ba8a61, (q31_t)0xf81af97, (q31_t)0x29c410ba,
+    (q31_t)0xf89e3e8, (q31_t)0x29cd9578, (q31_t)0xf921a17, (q31_t)0x29d71899,
+    (q31_t)0xf9a5225, (q31_t)0x29e09a1c, (q31_t)0xfa28c10, (q31_t)0x29ea1a03,
+    (q31_t)0xfaac7d8, (q31_t)0x29f3984c, (q31_t)0xfb3057d, (q31_t)0x29fd14f6,
+    (q31_t)0xfbb4500, (q31_t)0x2a069003, (q31_t)0xfc3865e, (q31_t)0x2a100970,
+    (q31_t)0xfcbc999, (q31_t)0x2a19813f, (q31_t)0xfd40eaf, (q31_t)0x2a22f76e,
+    (q31_t)0xfdc55a1, (q31_t)0x2a2c6bfd, (q31_t)0xfe49e6d, (q31_t)0x2a35deeb,
+    (q31_t)0xfece915, (q31_t)0x2a3f503a, (q31_t)0xff53597, (q31_t)0x2a48bfe7,
+    (q31_t)0xffd83f4, (q31_t)0x2a522df3, (q31_t)0x1005d42a, (q31_t)0x2a5b9a5d,
+    (q31_t)0x100e2639, (q31_t)0x2a650525, (q31_t)0x10167a22, (q31_t)0x2a6e6e4b,
+    (q31_t)0x101ecfe4, (q31_t)0x2a77d5ce, (q31_t)0x1027277e, (q31_t)0x2a813bae,
+    (q31_t)0x102f80f1, (q31_t)0x2a8a9fea, (q31_t)0x1037dc3b, (q31_t)0x2a940283,
+    (q31_t)0x1040395d, (q31_t)0x2a9d6377, (q31_t)0x10489856, (q31_t)0x2aa6c2c6,
+    (q31_t)0x1050f926, (q31_t)0x2ab02071, (q31_t)0x10595bcd, (q31_t)0x2ab97c77,
+    (q31_t)0x1061c04a, (q31_t)0x2ac2d6d6, (q31_t)0x106a269d, (q31_t)0x2acc2f90,
+    (q31_t)0x10728ec6, (q31_t)0x2ad586a3, (q31_t)0x107af8c4, (q31_t)0x2adedc10,
+    (q31_t)0x10836497, (q31_t)0x2ae82fd5, (q31_t)0x108bd23f, (q31_t)0x2af181f3,
+    (q31_t)0x109441bb, (q31_t)0x2afad269, (q31_t)0x109cb30b, (q31_t)0x2b042137,
+    (q31_t)0x10a5262f, (q31_t)0x2b0d6e5c, (q31_t)0x10ad9b26, (q31_t)0x2b16b9d9,
+    (q31_t)0x10b611f1, (q31_t)0x2b2003ac, (q31_t)0x10be8a8d, (q31_t)0x2b294bd5,
+    (q31_t)0x10c704fd, (q31_t)0x2b329255, (q31_t)0x10cf813e, (q31_t)0x2b3bd72a,
+    (q31_t)0x10d7ff51, (q31_t)0x2b451a55, (q31_t)0x10e07f36, (q31_t)0x2b4e5bd4,
+    (q31_t)0x10e900ec, (q31_t)0x2b579ba8, (q31_t)0x10f18472, (q31_t)0x2b60d9d0,
+    (q31_t)0x10fa09c9, (q31_t)0x2b6a164d, (q31_t)0x110290f0, (q31_t)0x2b73511c,
+    (q31_t)0x110b19e7, (q31_t)0x2b7c8a3f, (q31_t)0x1113a4ad, (q31_t)0x2b85c1b5,
+    (q31_t)0x111c3142, (q31_t)0x2b8ef77d, (q31_t)0x1124bfa6, (q31_t)0x2b982b97,
+    (q31_t)0x112d4fd9, (q31_t)0x2ba15e03, (q31_t)0x1135e1d9, (q31_t)0x2baa8ec0,
+    (q31_t)0x113e75a8, (q31_t)0x2bb3bdce, (q31_t)0x11470b44, (q31_t)0x2bbceb2d,
+    (q31_t)0x114fa2ad, (q31_t)0x2bc616dd, (q31_t)0x11583be2, (q31_t)0x2bcf40dc,
+    (q31_t)0x1160d6e5, (q31_t)0x2bd8692b, (q31_t)0x116973b3, (q31_t)0x2be18fc9,
+    (q31_t)0x1172124d, (q31_t)0x2beab4b6, (q31_t)0x117ab2b3, (q31_t)0x2bf3d7f2,
+    (q31_t)0x118354e4, (q31_t)0x2bfcf97c, (q31_t)0x118bf8e0, (q31_t)0x2c061953,
+    (q31_t)0x11949ea6, (q31_t)0x2c0f3779, (q31_t)0x119d4636, (q31_t)0x2c1853eb,
+    (q31_t)0x11a5ef90, (q31_t)0x2c216eaa, (q31_t)0x11ae9ab4, (q31_t)0x2c2a87b6,
+    (q31_t)0x11b747a0, (q31_t)0x2c339f0e, (q31_t)0x11bff656, (q31_t)0x2c3cb4b1,
+    (q31_t)0x11c8a6d4, (q31_t)0x2c45c8a0, (q31_t)0x11d1591a, (q31_t)0x2c4edada,
+    (q31_t)0x11da0d28, (q31_t)0x2c57eb5e, (q31_t)0x11e2c2fd, (q31_t)0x2c60fa2d,
+    (q31_t)0x11eb7a9a, (q31_t)0x2c6a0746, (q31_t)0x11f433fd, (q31_t)0x2c7312a9,
+    (q31_t)0x11fcef27, (q31_t)0x2c7c1c55, (q31_t)0x1205ac17, (q31_t)0x2c85244a,
+    (q31_t)0x120e6acc, (q31_t)0x2c8e2a87, (q31_t)0x12172b48, (q31_t)0x2c972f0d,
+    (q31_t)0x121fed88, (q31_t)0x2ca031da, (q31_t)0x1228b18d, (q31_t)0x2ca932ef,
+    (q31_t)0x12317756, (q31_t)0x2cb2324c, (q31_t)0x123a3ee4, (q31_t)0x2cbb2fef,
+    (q31_t)0x12430835, (q31_t)0x2cc42bd9, (q31_t)0x124bd34a, (q31_t)0x2ccd2609,
+    (q31_t)0x1254a021, (q31_t)0x2cd61e7f, (q31_t)0x125d6ebc, (q31_t)0x2cdf153a,
+    (q31_t)0x12663f19, (q31_t)0x2ce80a3a, (q31_t)0x126f1138, (q31_t)0x2cf0fd80,
+    (q31_t)0x1277e518, (q31_t)0x2cf9ef09, (q31_t)0x1280babb, (q31_t)0x2d02ded7,
+    (q31_t)0x1289921e, (q31_t)0x2d0bcce8, (q31_t)0x12926b41, (q31_t)0x2d14b93d,
+    (q31_t)0x129b4626, (q31_t)0x2d1da3d5, (q31_t)0x12a422ca, (q31_t)0x2d268cb0,
+    (q31_t)0x12ad012e, (q31_t)0x2d2f73cd, (q31_t)0x12b5e151, (q31_t)0x2d38592c,
+    (q31_t)0x12bec333, (q31_t)0x2d413ccd, (q31_t)0x12c7a6d4, (q31_t)0x2d4a1eaf,
+    (q31_t)0x12d08c33, (q31_t)0x2d52fed2, (q31_t)0x12d97350, (q31_t)0x2d5bdd36,
+    (q31_t)0x12e25c2b, (q31_t)0x2d64b9da, (q31_t)0x12eb46c3, (q31_t)0x2d6d94bf,
+    (q31_t)0x12f43318, (q31_t)0x2d766de2, (q31_t)0x12fd2129, (q31_t)0x2d7f4545,
+    (q31_t)0x130610f7, (q31_t)0x2d881ae8, (q31_t)0x130f0280, (q31_t)0x2d90eec8,
+    (q31_t)0x1317f5c6, (q31_t)0x2d99c0e7, (q31_t)0x1320eac6, (q31_t)0x2da29144,
+    (q31_t)0x1329e181, (q31_t)0x2dab5fdf, (q31_t)0x1332d9f7, (q31_t)0x2db42cb6,
+    (q31_t)0x133bd427, (q31_t)0x2dbcf7cb, (q31_t)0x1344d011, (q31_t)0x2dc5c11c,
+    (q31_t)0x134dcdb4, (q31_t)0x2dce88aa, (q31_t)0x1356cd11, (q31_t)0x2dd74e73,
+    (q31_t)0x135fce26, (q31_t)0x2de01278, (q31_t)0x1368d0f3, (q31_t)0x2de8d4b8,
+    (q31_t)0x1371d579, (q31_t)0x2df19534, (q31_t)0x137adbb6, (q31_t)0x2dfa53e9,
+    (q31_t)0x1383e3ab, (q31_t)0x2e0310d9, (q31_t)0x138ced57, (q31_t)0x2e0bcc03,
+    (q31_t)0x1395f8ba, (q31_t)0x2e148566, (q31_t)0x139f05d3, (q31_t)0x2e1d3d03,
+    (q31_t)0x13a814a2, (q31_t)0x2e25f2d8, (q31_t)0x13b12526, (q31_t)0x2e2ea6e6,
+    (q31_t)0x13ba3760, (q31_t)0x2e37592c, (q31_t)0x13c34b4f, (q31_t)0x2e4009aa,
+    (q31_t)0x13cc60f2, (q31_t)0x2e48b860, (q31_t)0x13d5784a, (q31_t)0x2e51654c,
+    (q31_t)0x13de9156, (q31_t)0x2e5a1070, (q31_t)0x13e7ac15, (q31_t)0x2e62b9ca,
+    (q31_t)0x13f0c887, (q31_t)0x2e6b615a, (q31_t)0x13f9e6ad, (q31_t)0x2e740720,
+    (q31_t)0x14030684, (q31_t)0x2e7cab1c, (q31_t)0x140c280e, (q31_t)0x2e854d4d,
+    (q31_t)0x14154b4a, (q31_t)0x2e8dedb3, (q31_t)0x141e7037, (q31_t)0x2e968c4d,
+    (q31_t)0x142796d5, (q31_t)0x2e9f291b, (q31_t)0x1430bf24, (q31_t)0x2ea7c41e,
+    (q31_t)0x1439e923, (q31_t)0x2eb05d53, (q31_t)0x144314d3, (q31_t)0x2eb8f4bc,
+    (q31_t)0x144c4232, (q31_t)0x2ec18a58, (q31_t)0x14557140, (q31_t)0x2eca1e27,
+    (q31_t)0x145ea1fd, (q31_t)0x2ed2b027, (q31_t)0x1467d469, (q31_t)0x2edb405a,
+    (q31_t)0x14710883, (q31_t)0x2ee3cebe, (q31_t)0x147a3e4b, (q31_t)0x2eec5b53,
+    (q31_t)0x148375c1, (q31_t)0x2ef4e619, (q31_t)0x148caee4, (q31_t)0x2efd6f10,
+    (q31_t)0x1495e9b3, (q31_t)0x2f05f637, (q31_t)0x149f2630, (q31_t)0x2f0e7b8e,
+    (q31_t)0x14a86458, (q31_t)0x2f16ff14, (q31_t)0x14b1a42c, (q31_t)0x2f1f80ca,
+    (q31_t)0x14bae5ab, (q31_t)0x2f2800af, (q31_t)0x14c428d6, (q31_t)0x2f307ec2,
+    (q31_t)0x14cd6dab, (q31_t)0x2f38fb03, (q31_t)0x14d6b42b, (q31_t)0x2f417573,
+    (q31_t)0x14dffc54, (q31_t)0x2f49ee0f, (q31_t)0x14e94627, (q31_t)0x2f5264da,
+    (q31_t)0x14f291a4, (q31_t)0x2f5ad9d1, (q31_t)0x14fbdec9, (q31_t)0x2f634cf5,
+    (q31_t)0x15052d97, (q31_t)0x2f6bbe45, (q31_t)0x150e7e0d, (q31_t)0x2f742dc1,
+    (q31_t)0x1517d02b, (q31_t)0x2f7c9b69, (q31_t)0x152123f0, (q31_t)0x2f85073c,
+    (q31_t)0x152a795d, (q31_t)0x2f8d713a, (q31_t)0x1533d070, (q31_t)0x2f95d963,
+    (q31_t)0x153d292a, (q31_t)0x2f9e3fb6, (q31_t)0x15468389, (q31_t)0x2fa6a433,
+    (q31_t)0x154fdf8f, (q31_t)0x2faf06da, (q31_t)0x15593d3a, (q31_t)0x2fb767aa,
+    (q31_t)0x15629c89, (q31_t)0x2fbfc6a3, (q31_t)0x156bfd7d, (q31_t)0x2fc823c5,
+    (q31_t)0x15756016, (q31_t)0x2fd07f0f, (q31_t)0x157ec452, (q31_t)0x2fd8d882,
+    (q31_t)0x15882a32, (q31_t)0x2fe1301c, (q31_t)0x159191b5, (q31_t)0x2fe985de,
+    (q31_t)0x159afadb, (q31_t)0x2ff1d9c7, (q31_t)0x15a465a3, (q31_t)0x2ffa2bd6,
+    (q31_t)0x15add20d, (q31_t)0x30027c0c, (q31_t)0x15b74019, (q31_t)0x300aca69,
+    (q31_t)0x15c0afc6, (q31_t)0x301316eb, (q31_t)0x15ca2115, (q31_t)0x301b6193,
+    (q31_t)0x15d39403, (q31_t)0x3023aa5f, (q31_t)0x15dd0892, (q31_t)0x302bf151,
+    (q31_t)0x15e67ec1, (q31_t)0x30343667, (q31_t)0x15eff690, (q31_t)0x303c79a2,
+    (q31_t)0x15f96ffd, (q31_t)0x3044bb00, (q31_t)0x1602eb0a, (q31_t)0x304cfa83,
+    (q31_t)0x160c67b4, (q31_t)0x30553828, (q31_t)0x1615e5fd, (q31_t)0x305d73f0,
+    (q31_t)0x161f65e4, (q31_t)0x3065addb, (q31_t)0x1628e767, (q31_t)0x306de5e9,
+    (q31_t)0x16326a88, (q31_t)0x30761c18, (q31_t)0x163bef46, (q31_t)0x307e5069,
+    (q31_t)0x1645759f, (q31_t)0x308682dc, (q31_t)0x164efd94, (q31_t)0x308eb36f,
+    (q31_t)0x16588725, (q31_t)0x3096e223, (q31_t)0x16621251, (q31_t)0x309f0ef8,
+    (q31_t)0x166b9f18, (q31_t)0x30a739ed, (q31_t)0x16752d79, (q31_t)0x30af6302,
+    (q31_t)0x167ebd74, (q31_t)0x30b78a36, (q31_t)0x16884f09, (q31_t)0x30bfaf89,
+    (q31_t)0x1691e237, (q31_t)0x30c7d2fb, (q31_t)0x169b76fe, (q31_t)0x30cff48c,
+    (q31_t)0x16a50d5d, (q31_t)0x30d8143b, (q31_t)0x16aea555, (q31_t)0x30e03208,
+    (q31_t)0x16b83ee4, (q31_t)0x30e84df3, (q31_t)0x16c1da0b, (q31_t)0x30f067fb,
+    (q31_t)0x16cb76c9, (q31_t)0x30f8801f, (q31_t)0x16d5151d, (q31_t)0x31009661,
+    (q31_t)0x16deb508, (q31_t)0x3108aabf, (q31_t)0x16e85689, (q31_t)0x3110bd39,
+    (q31_t)0x16f1f99f, (q31_t)0x3118cdcf, (q31_t)0x16fb9e4b, (q31_t)0x3120dc80,
+    (q31_t)0x1705448b, (q31_t)0x3128e94c, (q31_t)0x170eec60, (q31_t)0x3130f433,
+    (q31_t)0x171895c9, (q31_t)0x3138fd35, (q31_t)0x172240c5, (q31_t)0x31410450,
+    (q31_t)0x172bed55, (q31_t)0x31490986, (q31_t)0x17359b78, (q31_t)0x31510cd5,
+    (q31_t)0x173f4b2e, (q31_t)0x31590e3e, (q31_t)0x1748fc75, (q31_t)0x31610dbf,
+    (q31_t)0x1752af4f, (q31_t)0x31690b59, (q31_t)0x175c63ba, (q31_t)0x3171070c,
+    (q31_t)0x176619b6, (q31_t)0x317900d6, (q31_t)0x176fd143, (q31_t)0x3180f8b8,
+    (q31_t)0x17798a60, (q31_t)0x3188eeb2, (q31_t)0x1783450d, (q31_t)0x3190e2c3,
+    (q31_t)0x178d014a, (q31_t)0x3198d4ea, (q31_t)0x1796bf16, (q31_t)0x31a0c528,
+    (q31_t)0x17a07e70, (q31_t)0x31a8b37c, (q31_t)0x17aa3f5a, (q31_t)0x31b09fe7,
+    (q31_t)0x17b401d1, (q31_t)0x31b88a66, (q31_t)0x17bdc5d6, (q31_t)0x31c072fb,
+    (q31_t)0x17c78b68, (q31_t)0x31c859a5, (q31_t)0x17d15288, (q31_t)0x31d03e64,
+    (q31_t)0x17db1b34, (q31_t)0x31d82137, (q31_t)0x17e4e56c, (q31_t)0x31e0021e,
+    (q31_t)0x17eeb130, (q31_t)0x31e7e118, (q31_t)0x17f87e7f, (q31_t)0x31efbe27,
+    (q31_t)0x18024d59, (q31_t)0x31f79948, (q31_t)0x180c1dbf, (q31_t)0x31ff727c,
+    (q31_t)0x1815efae, (q31_t)0x320749c3, (q31_t)0x181fc328, (q31_t)0x320f1f1c,
+    (q31_t)0x1829982b, (q31_t)0x3216f287, (q31_t)0x18336eb7, (q31_t)0x321ec403,
+    (q31_t)0x183d46cc, (q31_t)0x32269391, (q31_t)0x18472069, (q31_t)0x322e6130,
+    (q31_t)0x1850fb8e, (q31_t)0x32362ce0, (q31_t)0x185ad83c, (q31_t)0x323df6a0,
+    (q31_t)0x1864b670, (q31_t)0x3245be70, (q31_t)0x186e962b, (q31_t)0x324d8450,
+    (q31_t)0x1878776d, (q31_t)0x32554840, (q31_t)0x18825a35, (q31_t)0x325d0a3e,
+    (q31_t)0x188c3e83, (q31_t)0x3264ca4c, (q31_t)0x18962456, (q31_t)0x326c8868,
+    (q31_t)0x18a00bae, (q31_t)0x32744493, (q31_t)0x18a9f48a, (q31_t)0x327bfecc,
+    (q31_t)0x18b3deeb, (q31_t)0x3283b712, (q31_t)0x18bdcad0, (q31_t)0x328b6d66,
+    (q31_t)0x18c7b838, (q31_t)0x329321c7, (q31_t)0x18d1a724, (q31_t)0x329ad435,
+    (q31_t)0x18db9792, (q31_t)0x32a284b0, (q31_t)0x18e58982, (q31_t)0x32aa3336,
+    (q31_t)0x18ef7cf4, (q31_t)0x32b1dfc9, (q31_t)0x18f971e8, (q31_t)0x32b98a67,
+    (q31_t)0x1903685d, (q31_t)0x32c13311, (q31_t)0x190d6053, (q31_t)0x32c8d9c6,
+    (q31_t)0x191759c9, (q31_t)0x32d07e85, (q31_t)0x192154bf, (q31_t)0x32d82150,
+    (q31_t)0x192b5135, (q31_t)0x32dfc224, (q31_t)0x19354f2a, (q31_t)0x32e76102,
+    (q31_t)0x193f4e9e, (q31_t)0x32eefdea, (q31_t)0x19494f90, (q31_t)0x32f698db,
+    (q31_t)0x19535201, (q31_t)0x32fe31d5, (q31_t)0x195d55ef, (q31_t)0x3305c8d7,
+    (q31_t)0x19675b5a, (q31_t)0x330d5de3, (q31_t)0x19716243, (q31_t)0x3314f0f6,
+    (q31_t)0x197b6aa8, (q31_t)0x331c8211, (q31_t)0x19857489, (q31_t)0x33241134,
+    (q31_t)0x198f7fe6, (q31_t)0x332b9e5e, (q31_t)0x19998cbe, (q31_t)0x3333298f,
+    (q31_t)0x19a39b11, (q31_t)0x333ab2c6, (q31_t)0x19adaadf, (q31_t)0x33423a04,
+    (q31_t)0x19b7bc27, (q31_t)0x3349bf48, (q31_t)0x19c1cee9, (q31_t)0x33514292,
+    (q31_t)0x19cbe325, (q31_t)0x3358c3e2, (q31_t)0x19d5f8d9, (q31_t)0x33604336,
+    (q31_t)0x19e01006, (q31_t)0x3367c090, (q31_t)0x19ea28ac, (q31_t)0x336f3bee,
+    (q31_t)0x19f442c9, (q31_t)0x3376b551, (q31_t)0x19fe5e5e, (q31_t)0x337e2cb7,
+    (q31_t)0x1a087b69, (q31_t)0x3385a222, (q31_t)0x1a1299ec, (q31_t)0x338d1590,
+    (q31_t)0x1a1cb9e5, (q31_t)0x33948701, (q31_t)0x1a26db54, (q31_t)0x339bf675,
+    (q31_t)0x1a30fe38, (q31_t)0x33a363ec, (q31_t)0x1a3b2292, (q31_t)0x33aacf65,
+    (q31_t)0x1a454860, (q31_t)0x33b238e0, (q31_t)0x1a4f6fa3, (q31_t)0x33b9a05d,
+    (q31_t)0x1a599859, (q31_t)0x33c105db, (q31_t)0x1a63c284, (q31_t)0x33c8695b,
+    (q31_t)0x1a6dee21, (q31_t)0x33cfcadc, (q31_t)0x1a781b31, (q31_t)0x33d72a5d,
+    (q31_t)0x1a8249b4, (q31_t)0x33de87de, (q31_t)0x1a8c79a9, (q31_t)0x33e5e360,
+    (q31_t)0x1a96ab0f, (q31_t)0x33ed3ce1, (q31_t)0x1aa0dde7, (q31_t)0x33f49462,
+    (q31_t)0x1aab122f, (q31_t)0x33fbe9e2, (q31_t)0x1ab547e8, (q31_t)0x34033d61,
+    (q31_t)0x1abf7f11, (q31_t)0x340a8edf, (q31_t)0x1ac9b7a9, (q31_t)0x3411de5b,
+    (q31_t)0x1ad3f1b1, (q31_t)0x34192bd5, (q31_t)0x1ade2d28, (q31_t)0x3420774d,
+    (q31_t)0x1ae86a0d, (q31_t)0x3427c0c3, (q31_t)0x1af2a860, (q31_t)0x342f0836,
+    (q31_t)0x1afce821, (q31_t)0x34364da6, (q31_t)0x1b072950, (q31_t)0x343d9112,
+    (q31_t)0x1b116beb, (q31_t)0x3444d27b, (q31_t)0x1b1baff2, (q31_t)0x344c11e0,
+    (q31_t)0x1b25f566, (q31_t)0x34534f41, (q31_t)0x1b303c46, (q31_t)0x345a8a9d,
+    (q31_t)0x1b3a8491, (q31_t)0x3461c3f5, (q31_t)0x1b44ce46, (q31_t)0x3468fb47,
+    (q31_t)0x1b4f1967, (q31_t)0x34703095, (q31_t)0x1b5965f1, (q31_t)0x347763dd,
+    (q31_t)0x1b63b3e5, (q31_t)0x347e951f, (q31_t)0x1b6e0342, (q31_t)0x3485c45b,
+    (q31_t)0x1b785409, (q31_t)0x348cf190, (q31_t)0x1b82a638, (q31_t)0x34941cbf,
+    (q31_t)0x1b8cf9cf, (q31_t)0x349b45e7, (q31_t)0x1b974ece, (q31_t)0x34a26d08,
+    (q31_t)0x1ba1a534, (q31_t)0x34a99221, (q31_t)0x1babfd01, (q31_t)0x34b0b533,
+    (q31_t)0x1bb65634, (q31_t)0x34b7d63c, (q31_t)0x1bc0b0ce, (q31_t)0x34bef53d,
+    (q31_t)0x1bcb0cce, (q31_t)0x34c61236, (q31_t)0x1bd56a32, (q31_t)0x34cd2d26,
+    (q31_t)0x1bdfc8fc, (q31_t)0x34d4460c, (q31_t)0x1bea292b, (q31_t)0x34db5cea,
+    (q31_t)0x1bf48abd, (q31_t)0x34e271bd, (q31_t)0x1bfeedb3, (q31_t)0x34e98487,
+    (q31_t)0x1c09520d, (q31_t)0x34f09546, (q31_t)0x1c13b7c9, (q31_t)0x34f7a3fb,
+    (q31_t)0x1c1e1ee9, (q31_t)0x34feb0a5, (q31_t)0x1c28876a, (q31_t)0x3505bb44,
+    (q31_t)0x1c32f14d, (q31_t)0x350cc3d8, (q31_t)0x1c3d5c91, (q31_t)0x3513ca60,
+    (q31_t)0x1c47c936, (q31_t)0x351acedd, (q31_t)0x1c52373c, (q31_t)0x3521d14d,
+    (q31_t)0x1c5ca6a2, (q31_t)0x3528d1b1, (q31_t)0x1c671768, (q31_t)0x352fd008,
+    (q31_t)0x1c71898d, (q31_t)0x3536cc52, (q31_t)0x1c7bfd11, (q31_t)0x353dc68f,
+    (q31_t)0x1c8671f3, (q31_t)0x3544bebf, (q31_t)0x1c90e834, (q31_t)0x354bb4e1,
+    (q31_t)0x1c9b5fd2, (q31_t)0x3552a8f4, (q31_t)0x1ca5d8cd, (q31_t)0x35599afa,
+    (q31_t)0x1cb05326, (q31_t)0x35608af1, (q31_t)0x1cbacedb, (q31_t)0x356778d9,
+    (q31_t)0x1cc54bec, (q31_t)0x356e64b2, (q31_t)0x1ccfca59, (q31_t)0x35754e7c,
+    (q31_t)0x1cda4a21, (q31_t)0x357c3636, (q31_t)0x1ce4cb44, (q31_t)0x35831be0,
+    (q31_t)0x1cef4dc2, (q31_t)0x3589ff7a, (q31_t)0x1cf9d199, (q31_t)0x3590e104,
+    (q31_t)0x1d0456ca, (q31_t)0x3597c07d, (q31_t)0x1d0edd55, (q31_t)0x359e9de5,
+    (q31_t)0x1d196538, (q31_t)0x35a5793c, (q31_t)0x1d23ee74, (q31_t)0x35ac5282,
+    (q31_t)0x1d2e7908, (q31_t)0x35b329b5, (q31_t)0x1d3904f4, (q31_t)0x35b9fed7,
+    (q31_t)0x1d439236, (q31_t)0x35c0d1e7, (q31_t)0x1d4e20d0, (q31_t)0x35c7a2e3,
+    (q31_t)0x1d58b0c0, (q31_t)0x35ce71ce, (q31_t)0x1d634206, (q31_t)0x35d53ea5,
+    (q31_t)0x1d6dd4a2, (q31_t)0x35dc0968, (q31_t)0x1d786892, (q31_t)0x35e2d219,
+    (q31_t)0x1d82fdd8, (q31_t)0x35e998b5, (q31_t)0x1d8d9472, (q31_t)0x35f05d3d,
+    (q31_t)0x1d982c60, (q31_t)0x35f71fb1, (q31_t)0x1da2c5a2, (q31_t)0x35fde011,
+    (q31_t)0x1dad6036, (q31_t)0x36049e5b, (q31_t)0x1db7fc1e, (q31_t)0x360b5a90,
+    (q31_t)0x1dc29958, (q31_t)0x361214b0, (q31_t)0x1dcd37e4, (q31_t)0x3618ccba,
+    (q31_t)0x1dd7d7c1, (q31_t)0x361f82af, (q31_t)0x1de278ef, (q31_t)0x3626368d,
+    (q31_t)0x1ded1b6e, (q31_t)0x362ce855, (q31_t)0x1df7bf3e, (q31_t)0x36339806,
+    (q31_t)0x1e02645d, (q31_t)0x363a45a0, (q31_t)0x1e0d0acc, (q31_t)0x3640f123,
+    (q31_t)0x1e17b28a, (q31_t)0x36479a8e, (q31_t)0x1e225b96, (q31_t)0x364e41e2,
+    (q31_t)0x1e2d05f1, (q31_t)0x3654e71d, (q31_t)0x1e37b199, (q31_t)0x365b8a41,
+    (q31_t)0x1e425e8f, (q31_t)0x36622b4c, (q31_t)0x1e4d0cd2, (q31_t)0x3668ca3e,
+    (q31_t)0x1e57bc62, (q31_t)0x366f6717, (q31_t)0x1e626d3e, (q31_t)0x367601d7,
+    (q31_t)0x1e6d1f65, (q31_t)0x367c9a7e, (q31_t)0x1e77d2d8, (q31_t)0x3683310b,
+    (q31_t)0x1e828796, (q31_t)0x3689c57d, (q31_t)0x1e8d3d9e, (q31_t)0x369057d6,
+    (q31_t)0x1e97f4f1, (q31_t)0x3696e814, (q31_t)0x1ea2ad8d, (q31_t)0x369d7637,
+    (q31_t)0x1ead6773, (q31_t)0x36a4023f, (q31_t)0x1eb822a1, (q31_t)0x36aa8c2c,
+    (q31_t)0x1ec2df18, (q31_t)0x36b113fd, (q31_t)0x1ecd9cd7, (q31_t)0x36b799b3,
+    (q31_t)0x1ed85bdd, (q31_t)0x36be1d4c, (q31_t)0x1ee31c2b, (q31_t)0x36c49ec9,
+    (q31_t)0x1eedddc0, (q31_t)0x36cb1e2a, (q31_t)0x1ef8a09b, (q31_t)0x36d19b6e,
+    (q31_t)0x1f0364bc, (q31_t)0x36d81695, (q31_t)0x1f0e2a22, (q31_t)0x36de8f9e,
+    (q31_t)0x1f18f0ce, (q31_t)0x36e5068a, (q31_t)0x1f23b8be, (q31_t)0x36eb7b58,
+    (q31_t)0x1f2e81f3, (q31_t)0x36f1ee09, (q31_t)0x1f394c6b, (q31_t)0x36f85e9a,
+    (q31_t)0x1f441828, (q31_t)0x36fecd0e, (q31_t)0x1f4ee527, (q31_t)0x37053962,
+    (q31_t)0x1f59b369, (q31_t)0x370ba398, (q31_t)0x1f6482ed, (q31_t)0x37120bae,
+    (q31_t)0x1f6f53b3, (q31_t)0x371871a5, (q31_t)0x1f7a25ba, (q31_t)0x371ed57c,
+    (q31_t)0x1f84f902, (q31_t)0x37253733, (q31_t)0x1f8fcd8b, (q31_t)0x372b96ca,
+    (q31_t)0x1f9aa354, (q31_t)0x3731f440, (q31_t)0x1fa57a5d, (q31_t)0x37384f95,
+    (q31_t)0x1fb052a5, (q31_t)0x373ea8ca, (q31_t)0x1fbb2c2c, (q31_t)0x3744ffdd,
+    (q31_t)0x1fc606f1, (q31_t)0x374b54ce, (q31_t)0x1fd0e2f5, (q31_t)0x3751a79e,
+    (q31_t)0x1fdbc036, (q31_t)0x3757f84c, (q31_t)0x1fe69eb4, (q31_t)0x375e46d8,
+    (q31_t)0x1ff17e70, (q31_t)0x37649341, (q31_t)0x1ffc5f67, (q31_t)0x376add88,
+    (q31_t)0x2007419b, (q31_t)0x377125ac, (q31_t)0x2012250a, (q31_t)0x37776bac,
+    (q31_t)0x201d09b4, (q31_t)0x377daf89, (q31_t)0x2027ef99, (q31_t)0x3783f143,
+    (q31_t)0x2032d6b8, (q31_t)0x378a30d8, (q31_t)0x203dbf11, (q31_t)0x37906e49,
+    (q31_t)0x2048a8a4, (q31_t)0x3796a996, (q31_t)0x2053936f, (q31_t)0x379ce2be,
+    (q31_t)0x205e7f74, (q31_t)0x37a319c2, (q31_t)0x20696cb0, (q31_t)0x37a94ea0,
+    (q31_t)0x20745b24, (q31_t)0x37af8159, (q31_t)0x207f4acf, (q31_t)0x37b5b1ec,
+    (q31_t)0x208a3bb2, (q31_t)0x37bbe05a, (q31_t)0x20952dcb, (q31_t)0x37c20ca1,
+    (q31_t)0x20a0211a, (q31_t)0x37c836c2, (q31_t)0x20ab159e, (q31_t)0x37ce5ebd,
+    (q31_t)0x20b60b58, (q31_t)0x37d48490, (q31_t)0x20c10247, (q31_t)0x37daa83d,
+    (q31_t)0x20cbfa6a, (q31_t)0x37e0c9c3, (q31_t)0x20d6f3c1, (q31_t)0x37e6e921,
+    (q31_t)0x20e1ee4b, (q31_t)0x37ed0657, (q31_t)0x20ecea09, (q31_t)0x37f32165,
+    (q31_t)0x20f7e6f9, (q31_t)0x37f93a4b, (q31_t)0x2102e51c, (q31_t)0x37ff5109,
+    (q31_t)0x210de470, (q31_t)0x3805659e, (q31_t)0x2118e4f6, (q31_t)0x380b780a,
+    (q31_t)0x2123e6ad, (q31_t)0x3811884d, (q31_t)0x212ee995, (q31_t)0x38179666,
+    (q31_t)0x2139edac, (q31_t)0x381da256, (q31_t)0x2144f2f3, (q31_t)0x3823ac1d,
+    (q31_t)0x214ff96a, (q31_t)0x3829b3b9, (q31_t)0x215b0110, (q31_t)0x382fb92a,
+    (q31_t)0x216609e3, (q31_t)0x3835bc71, (q31_t)0x217113e5, (q31_t)0x383bbd8e,
+    (q31_t)0x217c1f15, (q31_t)0x3841bc7f, (q31_t)0x21872b72, (q31_t)0x3847b946,
+    (q31_t)0x219238fb, (q31_t)0x384db3e0, (q31_t)0x219d47b1, (q31_t)0x3853ac4f,
+    (q31_t)0x21a85793, (q31_t)0x3859a292, (q31_t)0x21b368a0, (q31_t)0x385f96a9,
+    (q31_t)0x21be7ad8, (q31_t)0x38658894, (q31_t)0x21c98e3b, (q31_t)0x386b7852,
+    (q31_t)0x21d4a2c8, (q31_t)0x387165e3, (q31_t)0x21dfb87f, (q31_t)0x38775147,
+    (q31_t)0x21eacf5f, (q31_t)0x387d3a7e, (q31_t)0x21f5e768, (q31_t)0x38832187,
+    (q31_t)0x22010099, (q31_t)0x38890663, (q31_t)0x220c1af3, (q31_t)0x388ee910,
+    (q31_t)0x22173674, (q31_t)0x3894c98f, (q31_t)0x2222531c, (q31_t)0x389aa7e0,
+    (q31_t)0x222d70eb, (q31_t)0x38a08402, (q31_t)0x22388fe1, (q31_t)0x38a65df6,
+    (q31_t)0x2243affc, (q31_t)0x38ac35ba, (q31_t)0x224ed13d, (q31_t)0x38b20b4f,
+    (q31_t)0x2259f3a3, (q31_t)0x38b7deb4, (q31_t)0x2265172e, (q31_t)0x38bdafea,
+    (q31_t)0x22703bdc, (q31_t)0x38c37eef, (q31_t)0x227b61af, (q31_t)0x38c94bc4,
+    (q31_t)0x228688a4, (q31_t)0x38cf1669, (q31_t)0x2291b0bd, (q31_t)0x38d4dedd,
+    (q31_t)0x229cd9f8, (q31_t)0x38daa520, (q31_t)0x22a80456, (q31_t)0x38e06932,
+    (q31_t)0x22b32fd4, (q31_t)0x38e62b13, (q31_t)0x22be5c74, (q31_t)0x38ebeac2,
+    (q31_t)0x22c98a35, (q31_t)0x38f1a840, (q31_t)0x22d4b916, (q31_t)0x38f7638b,
+    (q31_t)0x22dfe917, (q31_t)0x38fd1ca4, (q31_t)0x22eb1a37, (q31_t)0x3902d38b,
+    (q31_t)0x22f64c77, (q31_t)0x3908883f, (q31_t)0x23017fd5, (q31_t)0x390e3ac0,
+    (q31_t)0x230cb451, (q31_t)0x3913eb0e, (q31_t)0x2317e9eb, (q31_t)0x39199929,
+    (q31_t)0x232320a2, (q31_t)0x391f4510, (q31_t)0x232e5876, (q31_t)0x3924eec3,
+    (q31_t)0x23399167, (q31_t)0x392a9642, (q31_t)0x2344cb73, (q31_t)0x39303b8e,
+    (q31_t)0x2350069b, (q31_t)0x3935dea4, (q31_t)0x235b42df, (q31_t)0x393b7f86,
+    (q31_t)0x2366803c, (q31_t)0x39411e33, (q31_t)0x2371beb5, (q31_t)0x3946baac,
+    (q31_t)0x237cfe47, (q31_t)0x394c54ee, (q31_t)0x23883ef2, (q31_t)0x3951ecfc,
+    (q31_t)0x239380b6, (q31_t)0x395782d3, (q31_t)0x239ec393, (q31_t)0x395d1675,
+    (q31_t)0x23aa0788, (q31_t)0x3962a7e0, (q31_t)0x23b54c95, (q31_t)0x39683715,
+    (q31_t)0x23c092b9, (q31_t)0x396dc414, (q31_t)0x23cbd9f4, (q31_t)0x39734edc,
+    (q31_t)0x23d72245, (q31_t)0x3978d76c, (q31_t)0x23e26bac, (q31_t)0x397e5dc6,
+    (q31_t)0x23edb628, (q31_t)0x3983e1e8, (q31_t)0x23f901ba, (q31_t)0x398963d2,
+    (q31_t)0x24044e60, (q31_t)0x398ee385, (q31_t)0x240f9c1a, (q31_t)0x399460ff,
+    (q31_t)0x241aeae8, (q31_t)0x3999dc42, (q31_t)0x24263ac9, (q31_t)0x399f554b,
+    (q31_t)0x24318bbe, (q31_t)0x39a4cc1c, (q31_t)0x243cddc4, (q31_t)0x39aa40b4,
+    (q31_t)0x244830dd, (q31_t)0x39afb313, (q31_t)0x24538507, (q31_t)0x39b52339,
+    (q31_t)0x245eda43, (q31_t)0x39ba9125, (q31_t)0x246a308f, (q31_t)0x39bffcd7,
+    (q31_t)0x247587eb, (q31_t)0x39c5664f, (q31_t)0x2480e057, (q31_t)0x39cacd8d,
+    (q31_t)0x248c39d3, (q31_t)0x39d03291, (q31_t)0x2497945d, (q31_t)0x39d5955a,
+    (q31_t)0x24a2eff6, (q31_t)0x39daf5e8, (q31_t)0x24ae4c9d, (q31_t)0x39e0543c,
+    (q31_t)0x24b9aa52, (q31_t)0x39e5b054, (q31_t)0x24c50914, (q31_t)0x39eb0a31,
+    (q31_t)0x24d068e2, (q31_t)0x39f061d2, (q31_t)0x24dbc9bd, (q31_t)0x39f5b737,
+    (q31_t)0x24e72ba4, (q31_t)0x39fb0a60, (q31_t)0x24f28e96, (q31_t)0x3a005b4d,
+    (q31_t)0x24fdf294, (q31_t)0x3a05a9fd, (q31_t)0x2509579b, (q31_t)0x3a0af671,
+    (q31_t)0x2514bdad, (q31_t)0x3a1040a8, (q31_t)0x252024c9, (q31_t)0x3a1588a2,
+    (q31_t)0x252b8cee, (q31_t)0x3a1ace5f, (q31_t)0x2536f61b, (q31_t)0x3a2011de,
+    (q31_t)0x25426051, (q31_t)0x3a25531f, (q31_t)0x254dcb8f, (q31_t)0x3a2a9223,
+    (q31_t)0x255937d5, (q31_t)0x3a2fcee8, (q31_t)0x2564a521, (q31_t)0x3a350970,
+    (q31_t)0x25701374, (q31_t)0x3a3a41b9, (q31_t)0x257b82cd, (q31_t)0x3a3f77c3,
+    (q31_t)0x2586f32c, (q31_t)0x3a44ab8e, (q31_t)0x25926490, (q31_t)0x3a49dd1a,
+    (q31_t)0x259dd6f9, (q31_t)0x3a4f0c67, (q31_t)0x25a94a67, (q31_t)0x3a543974,
+    (q31_t)0x25b4bed8, (q31_t)0x3a596442, (q31_t)0x25c0344d, (q31_t)0x3a5e8cd0,
+    (q31_t)0x25cbaac5, (q31_t)0x3a63b31d, (q31_t)0x25d72240, (q31_t)0x3a68d72b,
+    (q31_t)0x25e29abc, (q31_t)0x3a6df8f8, (q31_t)0x25ee143b, (q31_t)0x3a731884,
+    (q31_t)0x25f98ebb, (q31_t)0x3a7835cf, (q31_t)0x26050a3b, (q31_t)0x3a7d50da,
+    (q31_t)0x261086bc, (q31_t)0x3a8269a3, (q31_t)0x261c043d, (q31_t)0x3a87802a,
+    (q31_t)0x262782be, (q31_t)0x3a8c9470, (q31_t)0x2633023e, (q31_t)0x3a91a674,
+    (q31_t)0x263e82bc, (q31_t)0x3a96b636, (q31_t)0x264a0438, (q31_t)0x3a9bc3b6,
+    (q31_t)0x265586b3, (q31_t)0x3aa0cef3, (q31_t)0x26610a2a, (q31_t)0x3aa5d7ee,
+    (q31_t)0x266c8e9f, (q31_t)0x3aaadea6, (q31_t)0x26781410, (q31_t)0x3aafe31b,
+    (q31_t)0x26839a7c, (q31_t)0x3ab4e54c, (q31_t)0x268f21e5, (q31_t)0x3ab9e53a,
+    (q31_t)0x269aaa48, (q31_t)0x3abee2e5, (q31_t)0x26a633a6, (q31_t)0x3ac3de4c,
+    (q31_t)0x26b1bdff, (q31_t)0x3ac8d76f, (q31_t)0x26bd4951, (q31_t)0x3acdce4d,
+    (q31_t)0x26c8d59c, (q31_t)0x3ad2c2e8, (q31_t)0x26d462e1, (q31_t)0x3ad7b53d,
+    (q31_t)0x26dff11d, (q31_t)0x3adca54e, (q31_t)0x26eb8052, (q31_t)0x3ae1931a,
+    (q31_t)0x26f7107e, (q31_t)0x3ae67ea1, (q31_t)0x2702a1a1, (q31_t)0x3aeb67e3,
+    (q31_t)0x270e33bb, (q31_t)0x3af04edf, (q31_t)0x2719c6cb, (q31_t)0x3af53395,
+    (q31_t)0x27255ad1, (q31_t)0x3afa1605, (q31_t)0x2730efcc, (q31_t)0x3afef630,
+    (q31_t)0x273c85bc, (q31_t)0x3b03d414, (q31_t)0x27481ca1, (q31_t)0x3b08afb2,
+    (q31_t)0x2753b479, (q31_t)0x3b0d8909, (q31_t)0x275f4d45, (q31_t)0x3b126019,
+    (q31_t)0x276ae704, (q31_t)0x3b1734e2, (q31_t)0x277681b6, (q31_t)0x3b1c0764,
+    (q31_t)0x27821d59, (q31_t)0x3b20d79e, (q31_t)0x278db9ef, (q31_t)0x3b25a591,
+    (q31_t)0x27995776, (q31_t)0x3b2a713d, (q31_t)0x27a4f5ed, (q31_t)0x3b2f3aa0,
+    (q31_t)0x27b09555, (q31_t)0x3b3401bb, (q31_t)0x27bc35ad, (q31_t)0x3b38c68e,
+    (q31_t)0x27c7d6f4, (q31_t)0x3b3d8918, (q31_t)0x27d3792b, (q31_t)0x3b42495a,
+    (q31_t)0x27df1c50, (q31_t)0x3b470753, (q31_t)0x27eac063, (q31_t)0x3b4bc303,
+    (q31_t)0x27f66564, (q31_t)0x3b507c69, (q31_t)0x28020b52, (q31_t)0x3b553386,
+    (q31_t)0x280db22d, (q31_t)0x3b59e85a, (q31_t)0x281959f4, (q31_t)0x3b5e9ae4,
+    (q31_t)0x282502a7, (q31_t)0x3b634b23, (q31_t)0x2830ac45, (q31_t)0x3b67f919,
+    (q31_t)0x283c56cf, (q31_t)0x3b6ca4c4, (q31_t)0x28480243, (q31_t)0x3b714e25,
+    (q31_t)0x2853aea1, (q31_t)0x3b75f53c, (q31_t)0x285f5be9, (q31_t)0x3b7a9a07,
+    (q31_t)0x286b0a1a, (q31_t)0x3b7f3c87, (q31_t)0x2876b934, (q31_t)0x3b83dcbc,
+    (q31_t)0x28826936, (q31_t)0x3b887aa6, (q31_t)0x288e1a20, (q31_t)0x3b8d1644,
+    (q31_t)0x2899cbf1, (q31_t)0x3b91af97, (q31_t)0x28a57ea9, (q31_t)0x3b96469d,
+    (q31_t)0x28b13248, (q31_t)0x3b9adb57, (q31_t)0x28bce6cd, (q31_t)0x3b9f6dc5,
+    (q31_t)0x28c89c37, (q31_t)0x3ba3fde7, (q31_t)0x28d45286, (q31_t)0x3ba88bbc,
+    (q31_t)0x28e009ba, (q31_t)0x3bad1744, (q31_t)0x28ebc1d3, (q31_t)0x3bb1a080,
+    (q31_t)0x28f77acf, (q31_t)0x3bb6276e, (q31_t)0x290334af, (q31_t)0x3bbaac0e,
+    (q31_t)0x290eef71, (q31_t)0x3bbf2e62, (q31_t)0x291aab16, (q31_t)0x3bc3ae67,
+    (q31_t)0x2926679c, (q31_t)0x3bc82c1f, (q31_t)0x29322505, (q31_t)0x3bcca789,
+    (q31_t)0x293de34e, (q31_t)0x3bd120a4, (q31_t)0x2949a278, (q31_t)0x3bd59771,
+    (q31_t)0x29556282, (q31_t)0x3bda0bf0, (q31_t)0x2961236c, (q31_t)0x3bde7e20,
+    (q31_t)0x296ce535, (q31_t)0x3be2ee01, (q31_t)0x2978a7dd, (q31_t)0x3be75b93,
+    (q31_t)0x29846b63, (q31_t)0x3bebc6d5, (q31_t)0x29902fc7, (q31_t)0x3bf02fc9,
+    (q31_t)0x299bf509, (q31_t)0x3bf4966c, (q31_t)0x29a7bb28, (q31_t)0x3bf8fac0,
+    (q31_t)0x29b38223, (q31_t)0x3bfd5cc4, (q31_t)0x29bf49fa, (q31_t)0x3c01bc78,
+    (q31_t)0x29cb12ad, (q31_t)0x3c0619dc, (q31_t)0x29d6dc3b, (q31_t)0x3c0a74f0,
+    (q31_t)0x29e2a6a3, (q31_t)0x3c0ecdb2, (q31_t)0x29ee71e6, (q31_t)0x3c132424,
+    (q31_t)0x29fa3e03, (q31_t)0x3c177845, (q31_t)0x2a060af9, (q31_t)0x3c1bca16,
+    (q31_t)0x2a11d8c8, (q31_t)0x3c201994, (q31_t)0x2a1da770, (q31_t)0x3c2466c2,
+    (q31_t)0x2a2976ef, (q31_t)0x3c28b19e, (q31_t)0x2a354746, (q31_t)0x3c2cfa28,
+    (q31_t)0x2a411874, (q31_t)0x3c314060, (q31_t)0x2a4cea79, (q31_t)0x3c358446,
+    (q31_t)0x2a58bd54, (q31_t)0x3c39c5da, (q31_t)0x2a649105, (q31_t)0x3c3e051b,
+    (q31_t)0x2a70658a, (q31_t)0x3c42420a, (q31_t)0x2a7c3ae5, (q31_t)0x3c467ca6,
+    (q31_t)0x2a881114, (q31_t)0x3c4ab4ef, (q31_t)0x2a93e817, (q31_t)0x3c4eeae5,
+    (q31_t)0x2a9fbfed, (q31_t)0x3c531e88, (q31_t)0x2aab9896, (q31_t)0x3c574fd8,
+    (q31_t)0x2ab77212, (q31_t)0x3c5b7ed4, (q31_t)0x2ac34c60, (q31_t)0x3c5fab7c,
+    (q31_t)0x2acf277f, (q31_t)0x3c63d5d1, (q31_t)0x2adb0370, (q31_t)0x3c67fdd1,
+    (q31_t)0x2ae6e031, (q31_t)0x3c6c237e, (q31_t)0x2af2bdc3, (q31_t)0x3c7046d6,
+    (q31_t)0x2afe9c24, (q31_t)0x3c7467d9, (q31_t)0x2b0a7b54, (q31_t)0x3c788688,
+    (q31_t)0x2b165b54, (q31_t)0x3c7ca2e2, (q31_t)0x2b223c22, (q31_t)0x3c80bce7,
+    (q31_t)0x2b2e1dbe, (q31_t)0x3c84d496, (q31_t)0x2b3a0027, (q31_t)0x3c88e9f1,
+    (q31_t)0x2b45e35d, (q31_t)0x3c8cfcf6, (q31_t)0x2b51c760, (q31_t)0x3c910da5,
+    (q31_t)0x2b5dac2f, (q31_t)0x3c951bff, (q31_t)0x2b6991ca, (q31_t)0x3c992803,
+    (q31_t)0x2b75782f, (q31_t)0x3c9d31b0, (q31_t)0x2b815f60, (q31_t)0x3ca13908,
+    (q31_t)0x2b8d475b, (q31_t)0x3ca53e09, (q31_t)0x2b99301f, (q31_t)0x3ca940b3,
+    (q31_t)0x2ba519ad, (q31_t)0x3cad4107, (q31_t)0x2bb10404, (q31_t)0x3cb13f04,
+    (q31_t)0x2bbcef23, (q31_t)0x3cb53aaa, (q31_t)0x2bc8db0b, (q31_t)0x3cb933f9,
+    (q31_t)0x2bd4c7ba, (q31_t)0x3cbd2af0, (q31_t)0x2be0b52f, (q31_t)0x3cc11f90,
+    (q31_t)0x2beca36c, (q31_t)0x3cc511d9, (q31_t)0x2bf8926f, (q31_t)0x3cc901c9,
+    (q31_t)0x2c048237, (q31_t)0x3cccef62, (q31_t)0x2c1072c4, (q31_t)0x3cd0daa2,
+    (q31_t)0x2c1c6417, (q31_t)0x3cd4c38b, (q31_t)0x2c28562d, (q31_t)0x3cd8aa1b,
+    (q31_t)0x2c344908, (q31_t)0x3cdc8e52, (q31_t)0x2c403ca5, (q31_t)0x3ce07031,
+    (q31_t)0x2c4c3106, (q31_t)0x3ce44fb7, (q31_t)0x2c582629, (q31_t)0x3ce82ce4,
+    (q31_t)0x2c641c0e, (q31_t)0x3cec07b8, (q31_t)0x2c7012b5, (q31_t)0x3cefe032,
+    (q31_t)0x2c7c0a1d, (q31_t)0x3cf3b653, (q31_t)0x2c880245, (q31_t)0x3cf78a1b,
+    (q31_t)0x2c93fb2e, (q31_t)0x3cfb5b89, (q31_t)0x2c9ff4d6, (q31_t)0x3cff2a9d,
+    (q31_t)0x2cabef3d, (q31_t)0x3d02f757, (q31_t)0x2cb7ea63, (q31_t)0x3d06c1b6,
+    (q31_t)0x2cc3e648, (q31_t)0x3d0a89bc, (q31_t)0x2ccfe2ea, (q31_t)0x3d0e4f67,
+    (q31_t)0x2cdbe04a, (q31_t)0x3d1212b7, (q31_t)0x2ce7de66, (q31_t)0x3d15d3ad,
+    (q31_t)0x2cf3dd3f, (q31_t)0x3d199248, (q31_t)0x2cffdcd4, (q31_t)0x3d1d4e88,
+    (q31_t)0x2d0bdd25, (q31_t)0x3d21086c, (q31_t)0x2d17de31, (q31_t)0x3d24bff6,
+    (q31_t)0x2d23dff7, (q31_t)0x3d287523, (q31_t)0x2d2fe277, (q31_t)0x3d2c27f6,
+    (q31_t)0x2d3be5b1, (q31_t)0x3d2fd86c, (q31_t)0x2d47e9a5, (q31_t)0x3d338687,
+    (q31_t)0x2d53ee51, (q31_t)0x3d373245, (q31_t)0x2d5ff3b5, (q31_t)0x3d3adba7,
+    (q31_t)0x2d6bf9d1, (q31_t)0x3d3e82ae, (q31_t)0x2d7800a5, (q31_t)0x3d422757,
+    (q31_t)0x2d84082f, (q31_t)0x3d45c9a4, (q31_t)0x2d901070, (q31_t)0x3d496994,
+    (q31_t)0x2d9c1967, (q31_t)0x3d4d0728, (q31_t)0x2da82313, (q31_t)0x3d50a25e,
+    (q31_t)0x2db42d74, (q31_t)0x3d543b37, (q31_t)0x2dc0388a, (q31_t)0x3d57d1b3,
+    (q31_t)0x2dcc4454, (q31_t)0x3d5b65d2, (q31_t)0x2dd850d2, (q31_t)0x3d5ef793,
+    (q31_t)0x2de45e03, (q31_t)0x3d6286f6, (q31_t)0x2df06be6, (q31_t)0x3d6613fb,
+    (q31_t)0x2dfc7a7c, (q31_t)0x3d699ea3, (q31_t)0x2e0889c4, (q31_t)0x3d6d26ec,
+    (q31_t)0x2e1499bd, (q31_t)0x3d70acd7, (q31_t)0x2e20aa67, (q31_t)0x3d743064,
+    (q31_t)0x2e2cbbc1, (q31_t)0x3d77b192, (q31_t)0x2e38cdcb, (q31_t)0x3d7b3061,
+    (q31_t)0x2e44e084, (q31_t)0x3d7eacd2, (q31_t)0x2e50f3ed, (q31_t)0x3d8226e4,
+    (q31_t)0x2e5d0804, (q31_t)0x3d859e96, (q31_t)0x2e691cc9, (q31_t)0x3d8913ea,
+    (q31_t)0x2e75323c, (q31_t)0x3d8c86de, (q31_t)0x2e81485c, (q31_t)0x3d8ff772,
+    (q31_t)0x2e8d5f29, (q31_t)0x3d9365a8, (q31_t)0x2e9976a1, (q31_t)0x3d96d17d,
+    (q31_t)0x2ea58ec6, (q31_t)0x3d9a3af2, (q31_t)0x2eb1a796, (q31_t)0x3d9da208,
+    (q31_t)0x2ebdc110, (q31_t)0x3da106bd, (q31_t)0x2ec9db35, (q31_t)0x3da46912,
+    (q31_t)0x2ed5f604, (q31_t)0x3da7c907, (q31_t)0x2ee2117c, (q31_t)0x3dab269b,
+    (q31_t)0x2eee2d9d, (q31_t)0x3dae81cf, (q31_t)0x2efa4a67, (q31_t)0x3db1daa2,
+    (q31_t)0x2f0667d9, (q31_t)0x3db53113, (q31_t)0x2f1285f2, (q31_t)0x3db88524,
+    (q31_t)0x2f1ea4b2, (q31_t)0x3dbbd6d4, (q31_t)0x2f2ac419, (q31_t)0x3dbf2622,
+    (q31_t)0x2f36e426, (q31_t)0x3dc2730f, (q31_t)0x2f4304d8, (q31_t)0x3dc5bd9b,
+    (q31_t)0x2f4f2630, (q31_t)0x3dc905c5, (q31_t)0x2f5b482d, (q31_t)0x3dcc4b8d,
+    (q31_t)0x2f676ace, (q31_t)0x3dcf8ef3, (q31_t)0x2f738e12, (q31_t)0x3dd2cff7,
+    (q31_t)0x2f7fb1fa, (q31_t)0x3dd60e99, (q31_t)0x2f8bd685, (q31_t)0x3dd94ad8,
+    (q31_t)0x2f97fbb2, (q31_t)0x3ddc84b5, (q31_t)0x2fa42181, (q31_t)0x3ddfbc30,
+    (q31_t)0x2fb047f2, (q31_t)0x3de2f148, (q31_t)0x2fbc6f03, (q31_t)0x3de623fd,
+    (q31_t)0x2fc896b5, (q31_t)0x3de9544f, (q31_t)0x2fd4bf08, (q31_t)0x3dec823e,
+    (q31_t)0x2fe0e7f9, (q31_t)0x3defadca, (q31_t)0x2fed118a, (q31_t)0x3df2d6f3,
+    (q31_t)0x2ff93bba, (q31_t)0x3df5fdb8, (q31_t)0x30056687, (q31_t)0x3df9221a,
+    (q31_t)0x301191f3, (q31_t)0x3dfc4418, (q31_t)0x301dbdfb, (q31_t)0x3dff63b2,
+    (q31_t)0x3029eaa1, (q31_t)0x3e0280e9, (q31_t)0x303617e2, (q31_t)0x3e059bbb,
+    (q31_t)0x304245c0, (q31_t)0x3e08b42a, (q31_t)0x304e7438, (q31_t)0x3e0bca34,
+    (q31_t)0x305aa34c, (q31_t)0x3e0eddd9, (q31_t)0x3066d2fa, (q31_t)0x3e11ef1b,
+    (q31_t)0x30730342, (q31_t)0x3e14fdf7, (q31_t)0x307f3424, (q31_t)0x3e180a6f,
+    (q31_t)0x308b659f, (q31_t)0x3e1b1482, (q31_t)0x309797b2, (q31_t)0x3e1e1c30,
+    (q31_t)0x30a3ca5d, (q31_t)0x3e212179, (q31_t)0x30affda0, (q31_t)0x3e24245d,
+    (q31_t)0x30bc317a, (q31_t)0x3e2724db, (q31_t)0x30c865ea, (q31_t)0x3e2a22f4,
+    (q31_t)0x30d49af1, (q31_t)0x3e2d1ea8, (q31_t)0x30e0d08d, (q31_t)0x3e3017f6,
+    (q31_t)0x30ed06bf, (q31_t)0x3e330ede, (q31_t)0x30f93d86, (q31_t)0x3e360360,
+    (q31_t)0x310574e0, (q31_t)0x3e38f57c, (q31_t)0x3111accf, (q31_t)0x3e3be532,
+    (q31_t)0x311de551, (q31_t)0x3e3ed282, (q31_t)0x312a1e66, (q31_t)0x3e41bd6c,
+    (q31_t)0x3136580d, (q31_t)0x3e44a5ef, (q31_t)0x31429247, (q31_t)0x3e478c0b,
+    (q31_t)0x314ecd11, (q31_t)0x3e4a6fc1, (q31_t)0x315b086d, (q31_t)0x3e4d5110,
+    (q31_t)0x31674459, (q31_t)0x3e502ff9, (q31_t)0x317380d6, (q31_t)0x3e530c7a,
+    (q31_t)0x317fbde2, (q31_t)0x3e55e694, (q31_t)0x318bfb7d, (q31_t)0x3e58be47,
+    (q31_t)0x319839a6, (q31_t)0x3e5b9392, (q31_t)0x31a4785e, (q31_t)0x3e5e6676,
+    (q31_t)0x31b0b7a4, (q31_t)0x3e6136f3, (q31_t)0x31bcf777, (q31_t)0x3e640507,
+    (q31_t)0x31c937d6, (q31_t)0x3e66d0b4, (q31_t)0x31d578c2, (q31_t)0x3e6999fa,
+    (q31_t)0x31e1ba3a, (q31_t)0x3e6c60d7, (q31_t)0x31edfc3d, (q31_t)0x3e6f254c,
+    (q31_t)0x31fa3ecb, (q31_t)0x3e71e759, (q31_t)0x320681e3, (q31_t)0x3e74a6fd,
+    (q31_t)0x3212c585, (q31_t)0x3e77643a, (q31_t)0x321f09b1, (q31_t)0x3e7a1f0d,
+    (q31_t)0x322b4e66, (q31_t)0x3e7cd778, (q31_t)0x323793a3, (q31_t)0x3e7f8d7b,
+    (q31_t)0x3243d968, (q31_t)0x3e824114, (q31_t)0x32501fb5, (q31_t)0x3e84f245,
+    (q31_t)0x325c6688, (q31_t)0x3e87a10c, (q31_t)0x3268ade3, (q31_t)0x3e8a4d6a,
+    (q31_t)0x3274f5c3, (q31_t)0x3e8cf75f, (q31_t)0x32813e2a, (q31_t)0x3e8f9eeb,
+    (q31_t)0x328d8715, (q31_t)0x3e92440d, (q31_t)0x3299d085, (q31_t)0x3e94e6c6,
+    (q31_t)0x32a61a7a, (q31_t)0x3e978715, (q31_t)0x32b264f2, (q31_t)0x3e9a24fb,
+    (q31_t)0x32beafed, (q31_t)0x3e9cc076, (q31_t)0x32cafb6b, (q31_t)0x3e9f5988,
+    (q31_t)0x32d7476c, (q31_t)0x3ea1f02f, (q31_t)0x32e393ef, (q31_t)0x3ea4846c,
+    (q31_t)0x32efe0f2, (q31_t)0x3ea7163f, (q31_t)0x32fc2e77, (q31_t)0x3ea9a5a8,
+    (q31_t)0x33087c7d, (q31_t)0x3eac32a6, (q31_t)0x3314cb02, (q31_t)0x3eaebd3a,
+    (q31_t)0x33211a07, (q31_t)0x3eb14563, (q31_t)0x332d698a, (q31_t)0x3eb3cb21,
+    (q31_t)0x3339b98d, (q31_t)0x3eb64e75, (q31_t)0x33460a0d, (q31_t)0x3eb8cf5d,
+    (q31_t)0x33525b0b, (q31_t)0x3ebb4ddb, (q31_t)0x335eac86, (q31_t)0x3ebdc9ed,
+    (q31_t)0x336afe7e, (q31_t)0x3ec04394, (q31_t)0x337750f2, (q31_t)0x3ec2bad0,
+    (q31_t)0x3383a3e2, (q31_t)0x3ec52fa0, (q31_t)0x338ff74d, (q31_t)0x3ec7a205,
+    (q31_t)0x339c4b32, (q31_t)0x3eca11fe, (q31_t)0x33a89f92, (q31_t)0x3ecc7f8b,
+    (q31_t)0x33b4f46c, (q31_t)0x3eceeaad, (q31_t)0x33c149bf, (q31_t)0x3ed15363,
+    (q31_t)0x33cd9f8b, (q31_t)0x3ed3b9ad, (q31_t)0x33d9f5cf, (q31_t)0x3ed61d8a,
+    (q31_t)0x33e64c8c, (q31_t)0x3ed87efc, (q31_t)0x33f2a3bf, (q31_t)0x3edade01,
+    (q31_t)0x33fefb6a, (q31_t)0x3edd3a9a, (q31_t)0x340b538b, (q31_t)0x3edf94c7,
+    (q31_t)0x3417ac22, (q31_t)0x3ee1ec87, (q31_t)0x3424052f, (q31_t)0x3ee441da,
+    (q31_t)0x34305eb0, (q31_t)0x3ee694c1, (q31_t)0x343cb8a7, (q31_t)0x3ee8e53a,
+    (q31_t)0x34491311, (q31_t)0x3eeb3347, (q31_t)0x34556def, (q31_t)0x3eed7ee7,
+    (q31_t)0x3461c940, (q31_t)0x3eefc81a, (q31_t)0x346e2504, (q31_t)0x3ef20ee0,
+    (q31_t)0x347a8139, (q31_t)0x3ef45338, (q31_t)0x3486dde1, (q31_t)0x3ef69523,
+    (q31_t)0x34933afa, (q31_t)0x3ef8d4a1, (q31_t)0x349f9884, (q31_t)0x3efb11b1,
+    (q31_t)0x34abf67e, (q31_t)0x3efd4c54, (q31_t)0x34b854e7, (q31_t)0x3eff8489,
+    (q31_t)0x34c4b3c0, (q31_t)0x3f01ba50, (q31_t)0x34d11308, (q31_t)0x3f03eda9,
+    (q31_t)0x34dd72be, (q31_t)0x3f061e95, (q31_t)0x34e9d2e3, (q31_t)0x3f084d12,
+    (q31_t)0x34f63374, (q31_t)0x3f0a7921, (q31_t)0x35029473, (q31_t)0x3f0ca2c2,
+    (q31_t)0x350ef5de, (q31_t)0x3f0ec9f5, (q31_t)0x351b57b5, (q31_t)0x3f10eeb9,
+    (q31_t)0x3527b9f7, (q31_t)0x3f13110f, (q31_t)0x35341ca5, (q31_t)0x3f1530f7,
+    (q31_t)0x35407fbd, (q31_t)0x3f174e70, (q31_t)0x354ce33f, (q31_t)0x3f19697a,
+    (q31_t)0x3559472b, (q31_t)0x3f1b8215, (q31_t)0x3565ab80, (q31_t)0x3f1d9842,
+    (q31_t)0x3572103d, (q31_t)0x3f1fabff, (q31_t)0x357e7563, (q31_t)0x3f21bd4e,
+    (q31_t)0x358adaf0, (q31_t)0x3f23cc2e, (q31_t)0x359740e5, (q31_t)0x3f25d89e,
+    (q31_t)0x35a3a740, (q31_t)0x3f27e29f, (q31_t)0x35b00e02, (q31_t)0x3f29ea31,
+    (q31_t)0x35bc7529, (q31_t)0x3f2bef53, (q31_t)0x35c8dcb6, (q31_t)0x3f2df206,
+    (q31_t)0x35d544a7, (q31_t)0x3f2ff24a, (q31_t)0x35e1acfd, (q31_t)0x3f31f01d,
+    (q31_t)0x35ee15b7, (q31_t)0x3f33eb81, (q31_t)0x35fa7ed4, (q31_t)0x3f35e476,
+    (q31_t)0x3606e854, (q31_t)0x3f37dafa, (q31_t)0x36135237, (q31_t)0x3f39cf0e,
+    (q31_t)0x361fbc7b, (q31_t)0x3f3bc0b3, (q31_t)0x362c2721, (q31_t)0x3f3dafe7,
+    (q31_t)0x36389228, (q31_t)0x3f3f9cab, (q31_t)0x3644fd8f, (q31_t)0x3f4186ff,
+    (q31_t)0x36516956, (q31_t)0x3f436ee3, (q31_t)0x365dd57d, (q31_t)0x3f455456,
+    (q31_t)0x366a4203, (q31_t)0x3f473759, (q31_t)0x3676aee8, (q31_t)0x3f4917eb,
+    (q31_t)0x36831c2b, (q31_t)0x3f4af60d, (q31_t)0x368f89cb, (q31_t)0x3f4cd1be,
+    (q31_t)0x369bf7c9, (q31_t)0x3f4eaafe, (q31_t)0x36a86623, (q31_t)0x3f5081cd,
+    (q31_t)0x36b4d4d9, (q31_t)0x3f52562c, (q31_t)0x36c143ec, (q31_t)0x3f54281a,
+    (q31_t)0x36cdb359, (q31_t)0x3f55f796, (q31_t)0x36da2321, (q31_t)0x3f57c4a2,
+    (q31_t)0x36e69344, (q31_t)0x3f598f3c, (q31_t)0x36f303c0, (q31_t)0x3f5b5765,
+    (q31_t)0x36ff7496, (q31_t)0x3f5d1d1d, (q31_t)0x370be5c4, (q31_t)0x3f5ee063,
+    (q31_t)0x3718574b, (q31_t)0x3f60a138, (q31_t)0x3724c92a, (q31_t)0x3f625f9b,
+    (q31_t)0x37313b60, (q31_t)0x3f641b8d, (q31_t)0x373daded, (q31_t)0x3f65d50d,
+    (q31_t)0x374a20d0, (q31_t)0x3f678c1c, (q31_t)0x3756940a, (q31_t)0x3f6940b8,
+    (q31_t)0x37630799, (q31_t)0x3f6af2e3, (q31_t)0x376f7b7d, (q31_t)0x3f6ca29c,
+    (q31_t)0x377befb5, (q31_t)0x3f6e4fe3, (q31_t)0x37886442, (q31_t)0x3f6ffab8,
+    (q31_t)0x3794d922, (q31_t)0x3f71a31b, (q31_t)0x37a14e55, (q31_t)0x3f73490b,
+    (q31_t)0x37adc3db, (q31_t)0x3f74ec8a, (q31_t)0x37ba39b3, (q31_t)0x3f768d96,
+    (q31_t)0x37c6afdc, (q31_t)0x3f782c30, (q31_t)0x37d32657, (q31_t)0x3f79c857,
+    (q31_t)0x37df9d22, (q31_t)0x3f7b620c, (q31_t)0x37ec143e, (q31_t)0x3f7cf94e,
+    (q31_t)0x37f88ba9, (q31_t)0x3f7e8e1e, (q31_t)0x38050364, (q31_t)0x3f80207b,
+    (q31_t)0x38117b6d, (q31_t)0x3f81b065, (q31_t)0x381df3c5, (q31_t)0x3f833ddd,
+    (q31_t)0x382a6c6a, (q31_t)0x3f84c8e2, (q31_t)0x3836e55d, (q31_t)0x3f865174,
+    (q31_t)0x38435e9d, (q31_t)0x3f87d792, (q31_t)0x384fd829, (q31_t)0x3f895b3e,
+    (q31_t)0x385c5201, (q31_t)0x3f8adc77, (q31_t)0x3868cc24, (q31_t)0x3f8c5b3d,
+    (q31_t)0x38754692, (q31_t)0x3f8dd78f, (q31_t)0x3881c14b, (q31_t)0x3f8f516e,
+    (q31_t)0x388e3c4d, (q31_t)0x3f90c8da, (q31_t)0x389ab799, (q31_t)0x3f923dd2,
+    (q31_t)0x38a7332e, (q31_t)0x3f93b058, (q31_t)0x38b3af0c, (q31_t)0x3f952069,
+    (q31_t)0x38c02b31, (q31_t)0x3f968e07, (q31_t)0x38cca79e, (q31_t)0x3f97f932,
+    (q31_t)0x38d92452, (q31_t)0x3f9961e8, (q31_t)0x38e5a14d, (q31_t)0x3f9ac82c,
+    (q31_t)0x38f21e8e, (q31_t)0x3f9c2bfb, (q31_t)0x38fe9c15, (q31_t)0x3f9d8d56,
+    (q31_t)0x390b19e0, (q31_t)0x3f9eec3e, (q31_t)0x391797f0, (q31_t)0x3fa048b2,
+    (q31_t)0x39241645, (q31_t)0x3fa1a2b2, (q31_t)0x393094dd, (q31_t)0x3fa2fa3d,
+    (q31_t)0x393d13b8, (q31_t)0x3fa44f55, (q31_t)0x394992d7, (q31_t)0x3fa5a1f9,
+    (q31_t)0x39561237, (q31_t)0x3fa6f228, (q31_t)0x396291d9, (q31_t)0x3fa83fe3,
+    (q31_t)0x396f11bc, (q31_t)0x3fa98b2a, (q31_t)0x397b91e1, (q31_t)0x3faad3fd,
+    (q31_t)0x39881245, (q31_t)0x3fac1a5b, (q31_t)0x399492ea, (q31_t)0x3fad5e45,
+    (q31_t)0x39a113cd, (q31_t)0x3fae9fbb, (q31_t)0x39ad94f0, (q31_t)0x3fafdebb,
+    (q31_t)0x39ba1651, (q31_t)0x3fb11b48, (q31_t)0x39c697f0, (q31_t)0x3fb2555f,
+    (q31_t)0x39d319cc, (q31_t)0x3fb38d02, (q31_t)0x39df9be6, (q31_t)0x3fb4c231,
+    (q31_t)0x39ec1e3b, (q31_t)0x3fb5f4ea, (q31_t)0x39f8a0cd, (q31_t)0x3fb7252f,
+    (q31_t)0x3a05239a, (q31_t)0x3fb852ff, (q31_t)0x3a11a6a3, (q31_t)0x3fb97e5a,
+    (q31_t)0x3a1e29e5, (q31_t)0x3fbaa740, (q31_t)0x3a2aad62, (q31_t)0x3fbbcdb1,
+    (q31_t)0x3a373119, (q31_t)0x3fbcf1ad, (q31_t)0x3a43b508, (q31_t)0x3fbe1334,
+    (q31_t)0x3a503930, (q31_t)0x3fbf3246, (q31_t)0x3a5cbd91, (q31_t)0x3fc04ee3,
+    (q31_t)0x3a694229, (q31_t)0x3fc1690a, (q31_t)0x3a75c6f8, (q31_t)0x3fc280bc,
+    (q31_t)0x3a824bfd, (q31_t)0x3fc395f9, (q31_t)0x3a8ed139, (q31_t)0x3fc4a8c1,
+    (q31_t)0x3a9b56ab, (q31_t)0x3fc5b913, (q31_t)0x3aa7dc52, (q31_t)0x3fc6c6f0,
+    (q31_t)0x3ab4622d, (q31_t)0x3fc7d258, (q31_t)0x3ac0e83d, (q31_t)0x3fc8db4a,
+    (q31_t)0x3acd6e81, (q31_t)0x3fc9e1c6, (q31_t)0x3ad9f4f8, (q31_t)0x3fcae5cd,
+    (q31_t)0x3ae67ba2, (q31_t)0x3fcbe75e, (q31_t)0x3af3027e, (q31_t)0x3fcce67a,
+    (q31_t)0x3aff898c, (q31_t)0x3fcde320, (q31_t)0x3b0c10cb, (q31_t)0x3fcedd50,
+    (q31_t)0x3b18983b, (q31_t)0x3fcfd50b, (q31_t)0x3b251fdc, (q31_t)0x3fd0ca4f,
+    (q31_t)0x3b31a7ac, (q31_t)0x3fd1bd1e, (q31_t)0x3b3e2fac, (q31_t)0x3fd2ad77,
+    (q31_t)0x3b4ab7db, (q31_t)0x3fd39b5a, (q31_t)0x3b574039, (q31_t)0x3fd486c7,
+    (q31_t)0x3b63c8c4, (q31_t)0x3fd56fbe, (q31_t)0x3b70517d, (q31_t)0x3fd6563f,
+    (q31_t)0x3b7cda63, (q31_t)0x3fd73a4a, (q31_t)0x3b896375, (q31_t)0x3fd81bdf,
+    (q31_t)0x3b95ecb4, (q31_t)0x3fd8fafe, (q31_t)0x3ba2761e, (q31_t)0x3fd9d7a7,
+    (q31_t)0x3baeffb3, (q31_t)0x3fdab1d9, (q31_t)0x3bbb8973, (q31_t)0x3fdb8996,
+    (q31_t)0x3bc8135c, (q31_t)0x3fdc5edc, (q31_t)0x3bd49d70, (q31_t)0x3fdd31ac,
+    (q31_t)0x3be127ac, (q31_t)0x3fde0205, (q31_t)0x3bedb212, (q31_t)0x3fdecfe8,
+    (q31_t)0x3bfa3c9f, (q31_t)0x3fdf9b55, (q31_t)0x3c06c754, (q31_t)0x3fe0644b,
+    (q31_t)0x3c135231, (q31_t)0x3fe12acb, (q31_t)0x3c1fdd34, (q31_t)0x3fe1eed5,
+    (q31_t)0x3c2c685d, (q31_t)0x3fe2b067, (q31_t)0x3c38f3ac, (q31_t)0x3fe36f84,
+    (q31_t)0x3c457f21, (q31_t)0x3fe42c2a, (q31_t)0x3c520aba, (q31_t)0x3fe4e659,
+    (q31_t)0x3c5e9678, (q31_t)0x3fe59e12, (q31_t)0x3c6b2259, (q31_t)0x3fe65354,
+    (q31_t)0x3c77ae5e, (q31_t)0x3fe7061f, (q31_t)0x3c843a85, (q31_t)0x3fe7b674,
+    (q31_t)0x3c90c6cf, (q31_t)0x3fe86452, (q31_t)0x3c9d533b, (q31_t)0x3fe90fb9,
+    (q31_t)0x3ca9dfc8, (q31_t)0x3fe9b8a9, (q31_t)0x3cb66c77, (q31_t)0x3fea5f23,
+    (q31_t)0x3cc2f945, (q31_t)0x3feb0326, (q31_t)0x3ccf8634, (q31_t)0x3feba4b2,
+    (q31_t)0x3cdc1342, (q31_t)0x3fec43c7, (q31_t)0x3ce8a06f, (q31_t)0x3fece065,
+    (q31_t)0x3cf52dbb, (q31_t)0x3fed7a8c, (q31_t)0x3d01bb24, (q31_t)0x3fee123d,
+    (q31_t)0x3d0e48ab, (q31_t)0x3feea776, (q31_t)0x3d1ad650, (q31_t)0x3fef3a39,
+    (q31_t)0x3d276410, (q31_t)0x3fefca84, (q31_t)0x3d33f1ed, (q31_t)0x3ff05858,
+    (q31_t)0x3d407fe6, (q31_t)0x3ff0e3b6, (q31_t)0x3d4d0df9, (q31_t)0x3ff16c9c,
+    (q31_t)0x3d599c28, (q31_t)0x3ff1f30b, (q31_t)0x3d662a70, (q31_t)0x3ff27703,
+    (q31_t)0x3d72b8d2, (q31_t)0x3ff2f884, (q31_t)0x3d7f474d, (q31_t)0x3ff3778e,
+    (q31_t)0x3d8bd5e1, (q31_t)0x3ff3f420, (q31_t)0x3d98648d, (q31_t)0x3ff46e3c,
+    (q31_t)0x3da4f351, (q31_t)0x3ff4e5e0, (q31_t)0x3db1822c, (q31_t)0x3ff55b0d,
+    (q31_t)0x3dbe111e, (q31_t)0x3ff5cdc3, (q31_t)0x3dcaa027, (q31_t)0x3ff63e01,
+    (q31_t)0x3dd72f45, (q31_t)0x3ff6abc8, (q31_t)0x3de3be78, (q31_t)0x3ff71718,
+    (q31_t)0x3df04dc0, (q31_t)0x3ff77ff1, (q31_t)0x3dfcdd1d, (q31_t)0x3ff7e652,
+    (q31_t)0x3e096c8d, (q31_t)0x3ff84a3c, (q31_t)0x3e15fc11, (q31_t)0x3ff8abae,
+    (q31_t)0x3e228ba7, (q31_t)0x3ff90aaa, (q31_t)0x3e2f1b50, (q31_t)0x3ff9672d,
+    (q31_t)0x3e3bab0b, (q31_t)0x3ff9c13a, (q31_t)0x3e483ad8, (q31_t)0x3ffa18cf,
+    (q31_t)0x3e54cab5, (q31_t)0x3ffa6dec, (q31_t)0x3e615aa3, (q31_t)0x3ffac092,
+    (q31_t)0x3e6deaa1, (q31_t)0x3ffb10c1, (q31_t)0x3e7a7aae, (q31_t)0x3ffb5e78,
+    (q31_t)0x3e870aca, (q31_t)0x3ffba9b8, (q31_t)0x3e939af5, (q31_t)0x3ffbf280,
+    (q31_t)0x3ea02b2e, (q31_t)0x3ffc38d1, (q31_t)0x3eacbb74, (q31_t)0x3ffc7caa,
+    (q31_t)0x3eb94bc8, (q31_t)0x3ffcbe0c, (q31_t)0x3ec5dc28, (q31_t)0x3ffcfcf6,
+    (q31_t)0x3ed26c94, (q31_t)0x3ffd3969, (q31_t)0x3edefd0c, (q31_t)0x3ffd7364,
+    (q31_t)0x3eeb8d8f, (q31_t)0x3ffdaae7, (q31_t)0x3ef81e1d, (q31_t)0x3ffddff3,
+    (q31_t)0x3f04aeb5, (q31_t)0x3ffe1288, (q31_t)0x3f113f56, (q31_t)0x3ffe42a4,
+    (q31_t)0x3f1dd001, (q31_t)0x3ffe704a, (q31_t)0x3f2a60b4, (q31_t)0x3ffe9b77,
+    (q31_t)0x3f36f170, (q31_t)0x3ffec42d, (q31_t)0x3f438234, (q31_t)0x3ffeea6c,
+    (q31_t)0x3f5012fe, (q31_t)0x3fff0e32, (q31_t)0x3f5ca3d0, (q31_t)0x3fff2f82,
+    (q31_t)0x3f6934a8, (q31_t)0x3fff4e59, (q31_t)0x3f75c585, (q31_t)0x3fff6ab9,
+    (q31_t)0x3f825668, (q31_t)0x3fff84a1, (q31_t)0x3f8ee750, (q31_t)0x3fff9c12,
+    (q31_t)0x3f9b783c, (q31_t)0x3fffb10b, (q31_t)0x3fa8092c, (q31_t)0x3fffc38c,
+    (q31_t)0x3fb49a1f, (q31_t)0x3fffd396, (q31_t)0x3fc12b16, (q31_t)0x3fffe128,
+    (q31_t)0x3fcdbc0f, (q31_t)0x3fffec43, (q31_t)0x3fda4d09, (q31_t)0x3ffff4e6,
+    (q31_t)0x3fe6de05, (q31_t)0x3ffffb11, (q31_t)0x3ff36f02, (q31_t)0x3ffffec4,
+};
+
+
+/**
+  @par
+  Generation of realCoefBQ31 array:
+  @par
+   n = 4096
+  <pre>for (i = 0; i < n; i++)
+  {
+     pBTable[2 * i]     = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+     pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  } </pre>
+  @par
+  Convert to fixed point Q31 format
+      round(pBTable[i] * pow(2, 31))
+ */
+
+const q31_t realCoefBQ31[8192] = {
+    (q31_t)0x40000000, (q31_t)0x40000000, (q31_t)0x400c90fe, (q31_t)0x3ffffec4,
+    (q31_t)0x401921fb, (q31_t)0x3ffffb11, (q31_t)0x4025b2f7, (q31_t)0x3ffff4e6,
+    (q31_t)0x403243f1, (q31_t)0x3fffec43, (q31_t)0x403ed4ea, (q31_t)0x3fffe128,
+    (q31_t)0x404b65e1, (q31_t)0x3fffd396, (q31_t)0x4057f6d4, (q31_t)0x3fffc38c,
+    (q31_t)0x406487c4, (q31_t)0x3fffb10b, (q31_t)0x407118b0, (q31_t)0x3fff9c12,
+    (q31_t)0x407da998, (q31_t)0x3fff84a1, (q31_t)0x408a3a7b, (q31_t)0x3fff6ab9,
+    (q31_t)0x4096cb58, (q31_t)0x3fff4e59, (q31_t)0x40a35c30, (q31_t)0x3fff2f82,
+    (q31_t)0x40afed02, (q31_t)0x3fff0e32, (q31_t)0x40bc7dcc, (q31_t)0x3ffeea6c,
+    (q31_t)0x40c90e90, (q31_t)0x3ffec42d, (q31_t)0x40d59f4c, (q31_t)0x3ffe9b77,
+    (q31_t)0x40e22fff, (q31_t)0x3ffe704a, (q31_t)0x40eec0aa, (q31_t)0x3ffe42a4,
+    (q31_t)0x40fb514b, (q31_t)0x3ffe1288, (q31_t)0x4107e1e3, (q31_t)0x3ffddff3,
+    (q31_t)0x41147271, (q31_t)0x3ffdaae7, (q31_t)0x412102f4, (q31_t)0x3ffd7364,
+    (q31_t)0x412d936c, (q31_t)0x3ffd3969, (q31_t)0x413a23d8, (q31_t)0x3ffcfcf6,
+    (q31_t)0x4146b438, (q31_t)0x3ffcbe0c, (q31_t)0x4153448c, (q31_t)0x3ffc7caa,
+    (q31_t)0x415fd4d2, (q31_t)0x3ffc38d1, (q31_t)0x416c650b, (q31_t)0x3ffbf280,
+    (q31_t)0x4178f536, (q31_t)0x3ffba9b8, (q31_t)0x41858552, (q31_t)0x3ffb5e78,
+    (q31_t)0x4192155f, (q31_t)0x3ffb10c1, (q31_t)0x419ea55d, (q31_t)0x3ffac092,
+    (q31_t)0x41ab354b, (q31_t)0x3ffa6dec, (q31_t)0x41b7c528, (q31_t)0x3ffa18cf,
+    (q31_t)0x41c454f5, (q31_t)0x3ff9c13a, (q31_t)0x41d0e4b0, (q31_t)0x3ff9672d,
+    (q31_t)0x41dd7459, (q31_t)0x3ff90aaa, (q31_t)0x41ea03ef, (q31_t)0x3ff8abae,
+    (q31_t)0x41f69373, (q31_t)0x3ff84a3c, (q31_t)0x420322e3, (q31_t)0x3ff7e652,
+    (q31_t)0x420fb240, (q31_t)0x3ff77ff1, (q31_t)0x421c4188, (q31_t)0x3ff71718,
+    (q31_t)0x4228d0bb, (q31_t)0x3ff6abc8, (q31_t)0x42355fd9, (q31_t)0x3ff63e01,
+    (q31_t)0x4241eee2, (q31_t)0x3ff5cdc3, (q31_t)0x424e7dd4, (q31_t)0x3ff55b0d,
+    (q31_t)0x425b0caf, (q31_t)0x3ff4e5e0, (q31_t)0x42679b73, (q31_t)0x3ff46e3c,
+    (q31_t)0x42742a1f, (q31_t)0x3ff3f420, (q31_t)0x4280b8b3, (q31_t)0x3ff3778e,
+    (q31_t)0x428d472e, (q31_t)0x3ff2f884, (q31_t)0x4299d590, (q31_t)0x3ff27703,
+    (q31_t)0x42a663d8, (q31_t)0x3ff1f30b, (q31_t)0x42b2f207, (q31_t)0x3ff16c9c,
+    (q31_t)0x42bf801a, (q31_t)0x3ff0e3b6, (q31_t)0x42cc0e13, (q31_t)0x3ff05858,
+    (q31_t)0x42d89bf0, (q31_t)0x3fefca84, (q31_t)0x42e529b0, (q31_t)0x3fef3a39,
+    (q31_t)0x42f1b755, (q31_t)0x3feea776, (q31_t)0x42fe44dc, (q31_t)0x3fee123d,
+    (q31_t)0x430ad245, (q31_t)0x3fed7a8c, (q31_t)0x43175f91, (q31_t)0x3fece065,
+    (q31_t)0x4323ecbe, (q31_t)0x3fec43c7, (q31_t)0x433079cc, (q31_t)0x3feba4b2,
+    (q31_t)0x433d06bb, (q31_t)0x3feb0326, (q31_t)0x43499389, (q31_t)0x3fea5f23,
+    (q31_t)0x43562038, (q31_t)0x3fe9b8a9, (q31_t)0x4362acc5, (q31_t)0x3fe90fb9,
+    (q31_t)0x436f3931, (q31_t)0x3fe86452, (q31_t)0x437bc57b, (q31_t)0x3fe7b674,
+    (q31_t)0x438851a2, (q31_t)0x3fe7061f, (q31_t)0x4394dda7, (q31_t)0x3fe65354,
+    (q31_t)0x43a16988, (q31_t)0x3fe59e12, (q31_t)0x43adf546, (q31_t)0x3fe4e659,
+    (q31_t)0x43ba80df, (q31_t)0x3fe42c2a, (q31_t)0x43c70c54, (q31_t)0x3fe36f84,
+    (q31_t)0x43d397a3, (q31_t)0x3fe2b067, (q31_t)0x43e022cc, (q31_t)0x3fe1eed5,
+    (q31_t)0x43ecadcf, (q31_t)0x3fe12acb, (q31_t)0x43f938ac, (q31_t)0x3fe0644b,
+    (q31_t)0x4405c361, (q31_t)0x3fdf9b55, (q31_t)0x44124dee, (q31_t)0x3fdecfe8,
+    (q31_t)0x441ed854, (q31_t)0x3fde0205, (q31_t)0x442b6290, (q31_t)0x3fdd31ac,
+    (q31_t)0x4437eca4, (q31_t)0x3fdc5edc, (q31_t)0x4444768d, (q31_t)0x3fdb8996,
+    (q31_t)0x4451004d, (q31_t)0x3fdab1d9, (q31_t)0x445d89e2, (q31_t)0x3fd9d7a7,
+    (q31_t)0x446a134c, (q31_t)0x3fd8fafe, (q31_t)0x44769c8b, (q31_t)0x3fd81bdf,
+    (q31_t)0x4483259d, (q31_t)0x3fd73a4a, (q31_t)0x448fae83, (q31_t)0x3fd6563f,
+    (q31_t)0x449c373c, (q31_t)0x3fd56fbe, (q31_t)0x44a8bfc7, (q31_t)0x3fd486c7,
+    (q31_t)0x44b54825, (q31_t)0x3fd39b5a, (q31_t)0x44c1d054, (q31_t)0x3fd2ad77,
+    (q31_t)0x44ce5854, (q31_t)0x3fd1bd1e, (q31_t)0x44dae024, (q31_t)0x3fd0ca4f,
+    (q31_t)0x44e767c5, (q31_t)0x3fcfd50b, (q31_t)0x44f3ef35, (q31_t)0x3fcedd50,
+    (q31_t)0x45007674, (q31_t)0x3fcde320, (q31_t)0x450cfd82, (q31_t)0x3fcce67a,
+    (q31_t)0x4519845e, (q31_t)0x3fcbe75e, (q31_t)0x45260b08, (q31_t)0x3fcae5cd,
+    (q31_t)0x4532917f, (q31_t)0x3fc9e1c6, (q31_t)0x453f17c3, (q31_t)0x3fc8db4a,
+    (q31_t)0x454b9dd3, (q31_t)0x3fc7d258, (q31_t)0x455823ae, (q31_t)0x3fc6c6f0,
+    (q31_t)0x4564a955, (q31_t)0x3fc5b913, (q31_t)0x45712ec7, (q31_t)0x3fc4a8c1,
+    (q31_t)0x457db403, (q31_t)0x3fc395f9, (q31_t)0x458a3908, (q31_t)0x3fc280bc,
+    (q31_t)0x4596bdd7, (q31_t)0x3fc1690a, (q31_t)0x45a3426f, (q31_t)0x3fc04ee3,
+    (q31_t)0x45afc6d0, (q31_t)0x3fbf3246, (q31_t)0x45bc4af8, (q31_t)0x3fbe1334,
+    (q31_t)0x45c8cee7, (q31_t)0x3fbcf1ad, (q31_t)0x45d5529e, (q31_t)0x3fbbcdb1,
+    (q31_t)0x45e1d61b, (q31_t)0x3fbaa740, (q31_t)0x45ee595d, (q31_t)0x3fb97e5a,
+    (q31_t)0x45fadc66, (q31_t)0x3fb852ff, (q31_t)0x46075f33, (q31_t)0x3fb7252f,
+    (q31_t)0x4613e1c5, (q31_t)0x3fb5f4ea, (q31_t)0x4620641a, (q31_t)0x3fb4c231,
+    (q31_t)0x462ce634, (q31_t)0x3fb38d02, (q31_t)0x46396810, (q31_t)0x3fb2555f,
+    (q31_t)0x4645e9af, (q31_t)0x3fb11b48, (q31_t)0x46526b10, (q31_t)0x3fafdebb,
+    (q31_t)0x465eec33, (q31_t)0x3fae9fbb, (q31_t)0x466b6d16, (q31_t)0x3fad5e45,
+    (q31_t)0x4677edbb, (q31_t)0x3fac1a5b, (q31_t)0x46846e1f, (q31_t)0x3faad3fd,
+    (q31_t)0x4690ee44, (q31_t)0x3fa98b2a, (q31_t)0x469d6e27, (q31_t)0x3fa83fe3,
+    (q31_t)0x46a9edc9, (q31_t)0x3fa6f228, (q31_t)0x46b66d29, (q31_t)0x3fa5a1f9,
+    (q31_t)0x46c2ec48, (q31_t)0x3fa44f55, (q31_t)0x46cf6b23, (q31_t)0x3fa2fa3d,
+    (q31_t)0x46dbe9bb, (q31_t)0x3fa1a2b2, (q31_t)0x46e86810, (q31_t)0x3fa048b2,
+    (q31_t)0x46f4e620, (q31_t)0x3f9eec3e, (q31_t)0x470163eb, (q31_t)0x3f9d8d56,
+    (q31_t)0x470de172, (q31_t)0x3f9c2bfb, (q31_t)0x471a5eb3, (q31_t)0x3f9ac82c,
+    (q31_t)0x4726dbae, (q31_t)0x3f9961e8, (q31_t)0x47335862, (q31_t)0x3f97f932,
+    (q31_t)0x473fd4cf, (q31_t)0x3f968e07, (q31_t)0x474c50f4, (q31_t)0x3f952069,
+    (q31_t)0x4758ccd2, (q31_t)0x3f93b058, (q31_t)0x47654867, (q31_t)0x3f923dd2,
+    (q31_t)0x4771c3b3, (q31_t)0x3f90c8da, (q31_t)0x477e3eb5, (q31_t)0x3f8f516e,
+    (q31_t)0x478ab96e, (q31_t)0x3f8dd78f, (q31_t)0x479733dc, (q31_t)0x3f8c5b3d,
+    (q31_t)0x47a3adff, (q31_t)0x3f8adc77, (q31_t)0x47b027d7, (q31_t)0x3f895b3e,
+    (q31_t)0x47bca163, (q31_t)0x3f87d792, (q31_t)0x47c91aa3, (q31_t)0x3f865174,
+    (q31_t)0x47d59396, (q31_t)0x3f84c8e2, (q31_t)0x47e20c3b, (q31_t)0x3f833ddd,
+    (q31_t)0x47ee8493, (q31_t)0x3f81b065, (q31_t)0x47fafc9c, (q31_t)0x3f80207b,
+    (q31_t)0x48077457, (q31_t)0x3f7e8e1e, (q31_t)0x4813ebc2, (q31_t)0x3f7cf94e,
+    (q31_t)0x482062de, (q31_t)0x3f7b620c, (q31_t)0x482cd9a9, (q31_t)0x3f79c857,
+    (q31_t)0x48395024, (q31_t)0x3f782c30, (q31_t)0x4845c64d, (q31_t)0x3f768d96,
+    (q31_t)0x48523c25, (q31_t)0x3f74ec8a, (q31_t)0x485eb1ab, (q31_t)0x3f73490b,
+    (q31_t)0x486b26de, (q31_t)0x3f71a31b, (q31_t)0x48779bbe, (q31_t)0x3f6ffab8,
+    (q31_t)0x4884104b, (q31_t)0x3f6e4fe3, (q31_t)0x48908483, (q31_t)0x3f6ca29c,
+    (q31_t)0x489cf867, (q31_t)0x3f6af2e3, (q31_t)0x48a96bf6, (q31_t)0x3f6940b8,
+    (q31_t)0x48b5df30, (q31_t)0x3f678c1c, (q31_t)0x48c25213, (q31_t)0x3f65d50d,
+    (q31_t)0x48cec4a0, (q31_t)0x3f641b8d, (q31_t)0x48db36d6, (q31_t)0x3f625f9b,
+    (q31_t)0x48e7a8b5, (q31_t)0x3f60a138, (q31_t)0x48f41a3c, (q31_t)0x3f5ee063,
+    (q31_t)0x49008b6a, (q31_t)0x3f5d1d1d, (q31_t)0x490cfc40, (q31_t)0x3f5b5765,
+    (q31_t)0x49196cbc, (q31_t)0x3f598f3c, (q31_t)0x4925dcdf, (q31_t)0x3f57c4a2,
+    (q31_t)0x49324ca7, (q31_t)0x3f55f796, (q31_t)0x493ebc14, (q31_t)0x3f54281a,
+    (q31_t)0x494b2b27, (q31_t)0x3f52562c, (q31_t)0x495799dd, (q31_t)0x3f5081cd,
+    (q31_t)0x49640837, (q31_t)0x3f4eaafe, (q31_t)0x49707635, (q31_t)0x3f4cd1be,
+    (q31_t)0x497ce3d5, (q31_t)0x3f4af60d, (q31_t)0x49895118, (q31_t)0x3f4917eb,
+    (q31_t)0x4995bdfd, (q31_t)0x3f473759, (q31_t)0x49a22a83, (q31_t)0x3f455456,
+    (q31_t)0x49ae96aa, (q31_t)0x3f436ee3, (q31_t)0x49bb0271, (q31_t)0x3f4186ff,
+    (q31_t)0x49c76dd8, (q31_t)0x3f3f9cab, (q31_t)0x49d3d8df, (q31_t)0x3f3dafe7,
+    (q31_t)0x49e04385, (q31_t)0x3f3bc0b3, (q31_t)0x49ecadc9, (q31_t)0x3f39cf0e,
+    (q31_t)0x49f917ac, (q31_t)0x3f37dafa, (q31_t)0x4a05812c, (q31_t)0x3f35e476,
+    (q31_t)0x4a11ea49, (q31_t)0x3f33eb81, (q31_t)0x4a1e5303, (q31_t)0x3f31f01d,
+    (q31_t)0x4a2abb59, (q31_t)0x3f2ff24a, (q31_t)0x4a37234a, (q31_t)0x3f2df206,
+    (q31_t)0x4a438ad7, (q31_t)0x3f2bef53, (q31_t)0x4a4ff1fe, (q31_t)0x3f29ea31,
+    (q31_t)0x4a5c58c0, (q31_t)0x3f27e29f, (q31_t)0x4a68bf1b, (q31_t)0x3f25d89e,
+    (q31_t)0x4a752510, (q31_t)0x3f23cc2e, (q31_t)0x4a818a9d, (q31_t)0x3f21bd4e,
+    (q31_t)0x4a8defc3, (q31_t)0x3f1fabff, (q31_t)0x4a9a5480, (q31_t)0x3f1d9842,
+    (q31_t)0x4aa6b8d5, (q31_t)0x3f1b8215, (q31_t)0x4ab31cc1, (q31_t)0x3f19697a,
+    (q31_t)0x4abf8043, (q31_t)0x3f174e70, (q31_t)0x4acbe35b, (q31_t)0x3f1530f7,
+    (q31_t)0x4ad84609, (q31_t)0x3f13110f, (q31_t)0x4ae4a84b, (q31_t)0x3f10eeb9,
+    (q31_t)0x4af10a22, (q31_t)0x3f0ec9f5, (q31_t)0x4afd6b8d, (q31_t)0x3f0ca2c2,
+    (q31_t)0x4b09cc8c, (q31_t)0x3f0a7921, (q31_t)0x4b162d1d, (q31_t)0x3f084d12,
+    (q31_t)0x4b228d42, (q31_t)0x3f061e95, (q31_t)0x4b2eecf8, (q31_t)0x3f03eda9,
+    (q31_t)0x4b3b4c40, (q31_t)0x3f01ba50, (q31_t)0x4b47ab19, (q31_t)0x3eff8489,
+    (q31_t)0x4b540982, (q31_t)0x3efd4c54, (q31_t)0x4b60677c, (q31_t)0x3efb11b1,
+    (q31_t)0x4b6cc506, (q31_t)0x3ef8d4a1, (q31_t)0x4b79221f, (q31_t)0x3ef69523,
+    (q31_t)0x4b857ec7, (q31_t)0x3ef45338, (q31_t)0x4b91dafc, (q31_t)0x3ef20ee0,
+    (q31_t)0x4b9e36c0, (q31_t)0x3eefc81a, (q31_t)0x4baa9211, (q31_t)0x3eed7ee7,
+    (q31_t)0x4bb6ecef, (q31_t)0x3eeb3347, (q31_t)0x4bc34759, (q31_t)0x3ee8e53a,
+    (q31_t)0x4bcfa150, (q31_t)0x3ee694c1, (q31_t)0x4bdbfad1, (q31_t)0x3ee441da,
+    (q31_t)0x4be853de, (q31_t)0x3ee1ec87, (q31_t)0x4bf4ac75, (q31_t)0x3edf94c7,
+    (q31_t)0x4c010496, (q31_t)0x3edd3a9a, (q31_t)0x4c0d5c41, (q31_t)0x3edade01,
+    (q31_t)0x4c19b374, (q31_t)0x3ed87efc, (q31_t)0x4c260a31, (q31_t)0x3ed61d8a,
+    (q31_t)0x4c326075, (q31_t)0x3ed3b9ad, (q31_t)0x4c3eb641, (q31_t)0x3ed15363,
+    (q31_t)0x4c4b0b94, (q31_t)0x3eceeaad, (q31_t)0x4c57606e, (q31_t)0x3ecc7f8b,
+    (q31_t)0x4c63b4ce, (q31_t)0x3eca11fe, (q31_t)0x4c7008b3, (q31_t)0x3ec7a205,
+    (q31_t)0x4c7c5c1e, (q31_t)0x3ec52fa0, (q31_t)0x4c88af0e, (q31_t)0x3ec2bad0,
+    (q31_t)0x4c950182, (q31_t)0x3ec04394, (q31_t)0x4ca1537a, (q31_t)0x3ebdc9ed,
+    (q31_t)0x4cada4f5, (q31_t)0x3ebb4ddb, (q31_t)0x4cb9f5f3, (q31_t)0x3eb8cf5d,
+    (q31_t)0x4cc64673, (q31_t)0x3eb64e75, (q31_t)0x4cd29676, (q31_t)0x3eb3cb21,
+    (q31_t)0x4cdee5f9, (q31_t)0x3eb14563, (q31_t)0x4ceb34fe, (q31_t)0x3eaebd3a,
+    (q31_t)0x4cf78383, (q31_t)0x3eac32a6, (q31_t)0x4d03d189, (q31_t)0x3ea9a5a8,
+    (q31_t)0x4d101f0e, (q31_t)0x3ea7163f, (q31_t)0x4d1c6c11, (q31_t)0x3ea4846c,
+    (q31_t)0x4d28b894, (q31_t)0x3ea1f02f, (q31_t)0x4d350495, (q31_t)0x3e9f5988,
+    (q31_t)0x4d415013, (q31_t)0x3e9cc076, (q31_t)0x4d4d9b0e, (q31_t)0x3e9a24fb,
+    (q31_t)0x4d59e586, (q31_t)0x3e978715, (q31_t)0x4d662f7b, (q31_t)0x3e94e6c6,
+    (q31_t)0x4d7278eb, (q31_t)0x3e92440d, (q31_t)0x4d7ec1d6, (q31_t)0x3e8f9eeb,
+    (q31_t)0x4d8b0a3d, (q31_t)0x3e8cf75f, (q31_t)0x4d97521d, (q31_t)0x3e8a4d6a,
+    (q31_t)0x4da39978, (q31_t)0x3e87a10c, (q31_t)0x4dafe04b, (q31_t)0x3e84f245,
+    (q31_t)0x4dbc2698, (q31_t)0x3e824114, (q31_t)0x4dc86c5d, (q31_t)0x3e7f8d7b,
+    (q31_t)0x4dd4b19a, (q31_t)0x3e7cd778, (q31_t)0x4de0f64f, (q31_t)0x3e7a1f0d,
+    (q31_t)0x4ded3a7b, (q31_t)0x3e77643a, (q31_t)0x4df97e1d, (q31_t)0x3e74a6fd,
+    (q31_t)0x4e05c135, (q31_t)0x3e71e759, (q31_t)0x4e1203c3, (q31_t)0x3e6f254c,
+    (q31_t)0x4e1e45c6, (q31_t)0x3e6c60d7, (q31_t)0x4e2a873e, (q31_t)0x3e6999fa,
+    (q31_t)0x4e36c82a, (q31_t)0x3e66d0b4, (q31_t)0x4e430889, (q31_t)0x3e640507,
+    (q31_t)0x4e4f485c, (q31_t)0x3e6136f3, (q31_t)0x4e5b87a2, (q31_t)0x3e5e6676,
+    (q31_t)0x4e67c65a, (q31_t)0x3e5b9392, (q31_t)0x4e740483, (q31_t)0x3e58be47,
+    (q31_t)0x4e80421e, (q31_t)0x3e55e694, (q31_t)0x4e8c7f2a, (q31_t)0x3e530c7a,
+    (q31_t)0x4e98bba7, (q31_t)0x3e502ff9, (q31_t)0x4ea4f793, (q31_t)0x3e4d5110,
+    (q31_t)0x4eb132ef, (q31_t)0x3e4a6fc1, (q31_t)0x4ebd6db9, (q31_t)0x3e478c0b,
+    (q31_t)0x4ec9a7f3, (q31_t)0x3e44a5ef, (q31_t)0x4ed5e19a, (q31_t)0x3e41bd6c,
+    (q31_t)0x4ee21aaf, (q31_t)0x3e3ed282, (q31_t)0x4eee5331, (q31_t)0x3e3be532,
+    (q31_t)0x4efa8b20, (q31_t)0x3e38f57c, (q31_t)0x4f06c27a, (q31_t)0x3e360360,
+    (q31_t)0x4f12f941, (q31_t)0x3e330ede, (q31_t)0x4f1f2f73, (q31_t)0x3e3017f6,
+    (q31_t)0x4f2b650f, (q31_t)0x3e2d1ea8, (q31_t)0x4f379a16, (q31_t)0x3e2a22f4,
+    (q31_t)0x4f43ce86, (q31_t)0x3e2724db, (q31_t)0x4f500260, (q31_t)0x3e24245d,
+    (q31_t)0x4f5c35a3, (q31_t)0x3e212179, (q31_t)0x4f68684e, (q31_t)0x3e1e1c30,
+    (q31_t)0x4f749a61, (q31_t)0x3e1b1482, (q31_t)0x4f80cbdc, (q31_t)0x3e180a6f,
+    (q31_t)0x4f8cfcbe, (q31_t)0x3e14fdf7, (q31_t)0x4f992d06, (q31_t)0x3e11ef1b,
+    (q31_t)0x4fa55cb4, (q31_t)0x3e0eddd9, (q31_t)0x4fb18bc8, (q31_t)0x3e0bca34,
+    (q31_t)0x4fbdba40, (q31_t)0x3e08b42a, (q31_t)0x4fc9e81e, (q31_t)0x3e059bbb,
+    (q31_t)0x4fd6155f, (q31_t)0x3e0280e9, (q31_t)0x4fe24205, (q31_t)0x3dff63b2,
+    (q31_t)0x4fee6e0d, (q31_t)0x3dfc4418, (q31_t)0x4ffa9979, (q31_t)0x3df9221a,
+    (q31_t)0x5006c446, (q31_t)0x3df5fdb8, (q31_t)0x5012ee76, (q31_t)0x3df2d6f3,
+    (q31_t)0x501f1807, (q31_t)0x3defadca, (q31_t)0x502b40f8, (q31_t)0x3dec823e,
+    (q31_t)0x5037694b, (q31_t)0x3de9544f, (q31_t)0x504390fd, (q31_t)0x3de623fd,
+    (q31_t)0x504fb80e, (q31_t)0x3de2f148, (q31_t)0x505bde7f, (q31_t)0x3ddfbc30,
+    (q31_t)0x5068044e, (q31_t)0x3ddc84b5, (q31_t)0x5074297b, (q31_t)0x3dd94ad8,
+    (q31_t)0x50804e06, (q31_t)0x3dd60e99, (q31_t)0x508c71ee, (q31_t)0x3dd2cff7,
+    (q31_t)0x50989532, (q31_t)0x3dcf8ef3, (q31_t)0x50a4b7d3, (q31_t)0x3dcc4b8d,
+    (q31_t)0x50b0d9d0, (q31_t)0x3dc905c5, (q31_t)0x50bcfb28, (q31_t)0x3dc5bd9b,
+    (q31_t)0x50c91bda, (q31_t)0x3dc2730f, (q31_t)0x50d53be7, (q31_t)0x3dbf2622,
+    (q31_t)0x50e15b4e, (q31_t)0x3dbbd6d4, (q31_t)0x50ed7a0e, (q31_t)0x3db88524,
+    (q31_t)0x50f99827, (q31_t)0x3db53113, (q31_t)0x5105b599, (q31_t)0x3db1daa2,
+    (q31_t)0x5111d263, (q31_t)0x3dae81cf, (q31_t)0x511dee84, (q31_t)0x3dab269b,
+    (q31_t)0x512a09fc, (q31_t)0x3da7c907, (q31_t)0x513624cb, (q31_t)0x3da46912,
+    (q31_t)0x51423ef0, (q31_t)0x3da106bd, (q31_t)0x514e586a, (q31_t)0x3d9da208,
+    (q31_t)0x515a713a, (q31_t)0x3d9a3af2, (q31_t)0x5166895f, (q31_t)0x3d96d17d,
+    (q31_t)0x5172a0d7, (q31_t)0x3d9365a8, (q31_t)0x517eb7a4, (q31_t)0x3d8ff772,
+    (q31_t)0x518acdc4, (q31_t)0x3d8c86de, (q31_t)0x5196e337, (q31_t)0x3d8913ea,
+    (q31_t)0x51a2f7fc, (q31_t)0x3d859e96, (q31_t)0x51af0c13, (q31_t)0x3d8226e4,
+    (q31_t)0x51bb1f7c, (q31_t)0x3d7eacd2, (q31_t)0x51c73235, (q31_t)0x3d7b3061,
+    (q31_t)0x51d3443f, (q31_t)0x3d77b192, (q31_t)0x51df5599, (q31_t)0x3d743064,
+    (q31_t)0x51eb6643, (q31_t)0x3d70acd7, (q31_t)0x51f7763c, (q31_t)0x3d6d26ec,
+    (q31_t)0x52038584, (q31_t)0x3d699ea3, (q31_t)0x520f941a, (q31_t)0x3d6613fb,
+    (q31_t)0x521ba1fd, (q31_t)0x3d6286f6, (q31_t)0x5227af2e, (q31_t)0x3d5ef793,
+    (q31_t)0x5233bbac, (q31_t)0x3d5b65d2, (q31_t)0x523fc776, (q31_t)0x3d57d1b3,
+    (q31_t)0x524bd28c, (q31_t)0x3d543b37, (q31_t)0x5257dced, (q31_t)0x3d50a25e,
+    (q31_t)0x5263e699, (q31_t)0x3d4d0728, (q31_t)0x526fef90, (q31_t)0x3d496994,
+    (q31_t)0x527bf7d1, (q31_t)0x3d45c9a4, (q31_t)0x5287ff5b, (q31_t)0x3d422757,
+    (q31_t)0x5294062f, (q31_t)0x3d3e82ae, (q31_t)0x52a00c4b, (q31_t)0x3d3adba7,
+    (q31_t)0x52ac11af, (q31_t)0x3d373245, (q31_t)0x52b8165b, (q31_t)0x3d338687,
+    (q31_t)0x52c41a4f, (q31_t)0x3d2fd86c, (q31_t)0x52d01d89, (q31_t)0x3d2c27f6,
+    (q31_t)0x52dc2009, (q31_t)0x3d287523, (q31_t)0x52e821cf, (q31_t)0x3d24bff6,
+    (q31_t)0x52f422db, (q31_t)0x3d21086c, (q31_t)0x5300232c, (q31_t)0x3d1d4e88,
+    (q31_t)0x530c22c1, (q31_t)0x3d199248, (q31_t)0x5318219a, (q31_t)0x3d15d3ad,
+    (q31_t)0x53241fb6, (q31_t)0x3d1212b7, (q31_t)0x53301d16, (q31_t)0x3d0e4f67,
+    (q31_t)0x533c19b8, (q31_t)0x3d0a89bc, (q31_t)0x5348159d, (q31_t)0x3d06c1b6,
+    (q31_t)0x535410c3, (q31_t)0x3d02f757, (q31_t)0x53600b2a, (q31_t)0x3cff2a9d,
+    (q31_t)0x536c04d2, (q31_t)0x3cfb5b89, (q31_t)0x5377fdbb, (q31_t)0x3cf78a1b,
+    (q31_t)0x5383f5e3, (q31_t)0x3cf3b653, (q31_t)0x538fed4b, (q31_t)0x3cefe032,
+    (q31_t)0x539be3f2, (q31_t)0x3cec07b8, (q31_t)0x53a7d9d7, (q31_t)0x3ce82ce4,
+    (q31_t)0x53b3cefa, (q31_t)0x3ce44fb7, (q31_t)0x53bfc35b, (q31_t)0x3ce07031,
+    (q31_t)0x53cbb6f8, (q31_t)0x3cdc8e52, (q31_t)0x53d7a9d3, (q31_t)0x3cd8aa1b,
+    (q31_t)0x53e39be9, (q31_t)0x3cd4c38b, (q31_t)0x53ef8d3c, (q31_t)0x3cd0daa2,
+    (q31_t)0x53fb7dc9, (q31_t)0x3cccef62, (q31_t)0x54076d91, (q31_t)0x3cc901c9,
+    (q31_t)0x54135c94, (q31_t)0x3cc511d9, (q31_t)0x541f4ad1, (q31_t)0x3cc11f90,
+    (q31_t)0x542b3846, (q31_t)0x3cbd2af0, (q31_t)0x543724f5, (q31_t)0x3cb933f9,
+    (q31_t)0x544310dd, (q31_t)0x3cb53aaa, (q31_t)0x544efbfc, (q31_t)0x3cb13f04,
+    (q31_t)0x545ae653, (q31_t)0x3cad4107, (q31_t)0x5466cfe1, (q31_t)0x3ca940b3,
+    (q31_t)0x5472b8a5, (q31_t)0x3ca53e09, (q31_t)0x547ea0a0, (q31_t)0x3ca13908,
+    (q31_t)0x548a87d1, (q31_t)0x3c9d31b0, (q31_t)0x54966e36, (q31_t)0x3c992803,
+    (q31_t)0x54a253d1, (q31_t)0x3c951bff, (q31_t)0x54ae38a0, (q31_t)0x3c910da5,
+    (q31_t)0x54ba1ca3, (q31_t)0x3c8cfcf6, (q31_t)0x54c5ffd9, (q31_t)0x3c88e9f1,
+    (q31_t)0x54d1e242, (q31_t)0x3c84d496, (q31_t)0x54ddc3de, (q31_t)0x3c80bce7,
+    (q31_t)0x54e9a4ac, (q31_t)0x3c7ca2e2, (q31_t)0x54f584ac, (q31_t)0x3c788688,
+    (q31_t)0x550163dc, (q31_t)0x3c7467d9, (q31_t)0x550d423d, (q31_t)0x3c7046d6,
+    (q31_t)0x55191fcf, (q31_t)0x3c6c237e, (q31_t)0x5524fc90, (q31_t)0x3c67fdd1,
+    (q31_t)0x5530d881, (q31_t)0x3c63d5d1, (q31_t)0x553cb3a0, (q31_t)0x3c5fab7c,
+    (q31_t)0x55488dee, (q31_t)0x3c5b7ed4, (q31_t)0x5554676a, (q31_t)0x3c574fd8,
+    (q31_t)0x55604013, (q31_t)0x3c531e88, (q31_t)0x556c17e9, (q31_t)0x3c4eeae5,
+    (q31_t)0x5577eeec, (q31_t)0x3c4ab4ef, (q31_t)0x5583c51b, (q31_t)0x3c467ca6,
+    (q31_t)0x558f9a76, (q31_t)0x3c42420a, (q31_t)0x559b6efb, (q31_t)0x3c3e051b,
+    (q31_t)0x55a742ac, (q31_t)0x3c39c5da, (q31_t)0x55b31587, (q31_t)0x3c358446,
+    (q31_t)0x55bee78c, (q31_t)0x3c314060, (q31_t)0x55cab8ba, (q31_t)0x3c2cfa28,
+    (q31_t)0x55d68911, (q31_t)0x3c28b19e, (q31_t)0x55e25890, (q31_t)0x3c2466c2,
+    (q31_t)0x55ee2738, (q31_t)0x3c201994, (q31_t)0x55f9f507, (q31_t)0x3c1bca16,
+    (q31_t)0x5605c1fd, (q31_t)0x3c177845, (q31_t)0x56118e1a, (q31_t)0x3c132424,
+    (q31_t)0x561d595d, (q31_t)0x3c0ecdb2, (q31_t)0x562923c5, (q31_t)0x3c0a74f0,
+    (q31_t)0x5634ed53, (q31_t)0x3c0619dc, (q31_t)0x5640b606, (q31_t)0x3c01bc78,
+    (q31_t)0x564c7ddd, (q31_t)0x3bfd5cc4, (q31_t)0x565844d8, (q31_t)0x3bf8fac0,
+    (q31_t)0x56640af7, (q31_t)0x3bf4966c, (q31_t)0x566fd039, (q31_t)0x3bf02fc9,
+    (q31_t)0x567b949d, (q31_t)0x3bebc6d5, (q31_t)0x56875823, (q31_t)0x3be75b93,
+    (q31_t)0x56931acb, (q31_t)0x3be2ee01, (q31_t)0x569edc94, (q31_t)0x3bde7e20,
+    (q31_t)0x56aa9d7e, (q31_t)0x3bda0bf0, (q31_t)0x56b65d88, (q31_t)0x3bd59771,
+    (q31_t)0x56c21cb2, (q31_t)0x3bd120a4, (q31_t)0x56cddafb, (q31_t)0x3bcca789,
+    (q31_t)0x56d99864, (q31_t)0x3bc82c1f, (q31_t)0x56e554ea, (q31_t)0x3bc3ae67,
+    (q31_t)0x56f1108f, (q31_t)0x3bbf2e62, (q31_t)0x56fccb51, (q31_t)0x3bbaac0e,
+    (q31_t)0x57088531, (q31_t)0x3bb6276e, (q31_t)0x57143e2d, (q31_t)0x3bb1a080,
+    (q31_t)0x571ff646, (q31_t)0x3bad1744, (q31_t)0x572bad7a, (q31_t)0x3ba88bbc,
+    (q31_t)0x573763c9, (q31_t)0x3ba3fde7, (q31_t)0x57431933, (q31_t)0x3b9f6dc5,
+    (q31_t)0x574ecdb8, (q31_t)0x3b9adb57, (q31_t)0x575a8157, (q31_t)0x3b96469d,
+    (q31_t)0x5766340f, (q31_t)0x3b91af97, (q31_t)0x5771e5e0, (q31_t)0x3b8d1644,
+    (q31_t)0x577d96ca, (q31_t)0x3b887aa6, (q31_t)0x578946cc, (q31_t)0x3b83dcbc,
+    (q31_t)0x5794f5e6, (q31_t)0x3b7f3c87, (q31_t)0x57a0a417, (q31_t)0x3b7a9a07,
+    (q31_t)0x57ac515f, (q31_t)0x3b75f53c, (q31_t)0x57b7fdbd, (q31_t)0x3b714e25,
+    (q31_t)0x57c3a931, (q31_t)0x3b6ca4c4, (q31_t)0x57cf53bb, (q31_t)0x3b67f919,
+    (q31_t)0x57dafd59, (q31_t)0x3b634b23, (q31_t)0x57e6a60c, (q31_t)0x3b5e9ae4,
+    (q31_t)0x57f24dd3, (q31_t)0x3b59e85a, (q31_t)0x57fdf4ae, (q31_t)0x3b553386,
+    (q31_t)0x58099a9c, (q31_t)0x3b507c69, (q31_t)0x58153f9d, (q31_t)0x3b4bc303,
+    (q31_t)0x5820e3b0, (q31_t)0x3b470753, (q31_t)0x582c86d5, (q31_t)0x3b42495a,
+    (q31_t)0x5838290c, (q31_t)0x3b3d8918, (q31_t)0x5843ca53, (q31_t)0x3b38c68e,
+    (q31_t)0x584f6aab, (q31_t)0x3b3401bb, (q31_t)0x585b0a13, (q31_t)0x3b2f3aa0,
+    (q31_t)0x5866a88a, (q31_t)0x3b2a713d, (q31_t)0x58724611, (q31_t)0x3b25a591,
+    (q31_t)0x587de2a7, (q31_t)0x3b20d79e, (q31_t)0x58897e4a, (q31_t)0x3b1c0764,
+    (q31_t)0x589518fc, (q31_t)0x3b1734e2, (q31_t)0x58a0b2bb, (q31_t)0x3b126019,
+    (q31_t)0x58ac4b87, (q31_t)0x3b0d8909, (q31_t)0x58b7e35f, (q31_t)0x3b08afb2,
+    (q31_t)0x58c37a44, (q31_t)0x3b03d414, (q31_t)0x58cf1034, (q31_t)0x3afef630,
+    (q31_t)0x58daa52f, (q31_t)0x3afa1605, (q31_t)0x58e63935, (q31_t)0x3af53395,
+    (q31_t)0x58f1cc45, (q31_t)0x3af04edf, (q31_t)0x58fd5e5f, (q31_t)0x3aeb67e3,
+    (q31_t)0x5908ef82, (q31_t)0x3ae67ea1, (q31_t)0x59147fae, (q31_t)0x3ae1931a,
+    (q31_t)0x59200ee3, (q31_t)0x3adca54e, (q31_t)0x592b9d1f, (q31_t)0x3ad7b53d,
+    (q31_t)0x59372a64, (q31_t)0x3ad2c2e8, (q31_t)0x5942b6af, (q31_t)0x3acdce4d,
+    (q31_t)0x594e4201, (q31_t)0x3ac8d76f, (q31_t)0x5959cc5a, (q31_t)0x3ac3de4c,
+    (q31_t)0x596555b8, (q31_t)0x3abee2e5, (q31_t)0x5970de1b, (q31_t)0x3ab9e53a,
+    (q31_t)0x597c6584, (q31_t)0x3ab4e54c, (q31_t)0x5987ebf0, (q31_t)0x3aafe31b,
+    (q31_t)0x59937161, (q31_t)0x3aaadea6, (q31_t)0x599ef5d6, (q31_t)0x3aa5d7ee,
+    (q31_t)0x59aa794d, (q31_t)0x3aa0cef3, (q31_t)0x59b5fbc8, (q31_t)0x3a9bc3b6,
+    (q31_t)0x59c17d44, (q31_t)0x3a96b636, (q31_t)0x59ccfdc2, (q31_t)0x3a91a674,
+    (q31_t)0x59d87d42, (q31_t)0x3a8c9470, (q31_t)0x59e3fbc3, (q31_t)0x3a87802a,
+    (q31_t)0x59ef7944, (q31_t)0x3a8269a3, (q31_t)0x59faf5c5, (q31_t)0x3a7d50da,
+    (q31_t)0x5a067145, (q31_t)0x3a7835cf, (q31_t)0x5a11ebc5, (q31_t)0x3a731884,
+    (q31_t)0x5a1d6544, (q31_t)0x3a6df8f8, (q31_t)0x5a28ddc0, (q31_t)0x3a68d72b,
+    (q31_t)0x5a34553b, (q31_t)0x3a63b31d, (q31_t)0x5a3fcbb3, (q31_t)0x3a5e8cd0,
+    (q31_t)0x5a4b4128, (q31_t)0x3a596442, (q31_t)0x5a56b599, (q31_t)0x3a543974,
+    (q31_t)0x5a622907, (q31_t)0x3a4f0c67, (q31_t)0x5a6d9b70, (q31_t)0x3a49dd1a,
+    (q31_t)0x5a790cd4, (q31_t)0x3a44ab8e, (q31_t)0x5a847d33, (q31_t)0x3a3f77c3,
+    (q31_t)0x5a8fec8c, (q31_t)0x3a3a41b9, (q31_t)0x5a9b5adf, (q31_t)0x3a350970,
+    (q31_t)0x5aa6c82b, (q31_t)0x3a2fcee8, (q31_t)0x5ab23471, (q31_t)0x3a2a9223,
+    (q31_t)0x5abd9faf, (q31_t)0x3a25531f, (q31_t)0x5ac909e5, (q31_t)0x3a2011de,
+    (q31_t)0x5ad47312, (q31_t)0x3a1ace5f, (q31_t)0x5adfdb37, (q31_t)0x3a1588a2,
+    (q31_t)0x5aeb4253, (q31_t)0x3a1040a8, (q31_t)0x5af6a865, (q31_t)0x3a0af671,
+    (q31_t)0x5b020d6c, (q31_t)0x3a05a9fd, (q31_t)0x5b0d716a, (q31_t)0x3a005b4d,
+    (q31_t)0x5b18d45c, (q31_t)0x39fb0a60, (q31_t)0x5b243643, (q31_t)0x39f5b737,
+    (q31_t)0x5b2f971e, (q31_t)0x39f061d2, (q31_t)0x5b3af6ec, (q31_t)0x39eb0a31,
+    (q31_t)0x5b4655ae, (q31_t)0x39e5b054, (q31_t)0x5b51b363, (q31_t)0x39e0543c,
+    (q31_t)0x5b5d100a, (q31_t)0x39daf5e8, (q31_t)0x5b686ba3, (q31_t)0x39d5955a,
+    (q31_t)0x5b73c62d, (q31_t)0x39d03291, (q31_t)0x5b7f1fa9, (q31_t)0x39cacd8d,
+    (q31_t)0x5b8a7815, (q31_t)0x39c5664f, (q31_t)0x5b95cf71, (q31_t)0x39bffcd7,
+    (q31_t)0x5ba125bd, (q31_t)0x39ba9125, (q31_t)0x5bac7af9, (q31_t)0x39b52339,
+    (q31_t)0x5bb7cf23, (q31_t)0x39afb313, (q31_t)0x5bc3223c, (q31_t)0x39aa40b4,
+    (q31_t)0x5bce7442, (q31_t)0x39a4cc1c, (q31_t)0x5bd9c537, (q31_t)0x399f554b,
+    (q31_t)0x5be51518, (q31_t)0x3999dc42, (q31_t)0x5bf063e6, (q31_t)0x399460ff,
+    (q31_t)0x5bfbb1a0, (q31_t)0x398ee385, (q31_t)0x5c06fe46, (q31_t)0x398963d2,
+    (q31_t)0x5c1249d8, (q31_t)0x3983e1e8, (q31_t)0x5c1d9454, (q31_t)0x397e5dc6,
+    (q31_t)0x5c28ddbb, (q31_t)0x3978d76c, (q31_t)0x5c34260c, (q31_t)0x39734edc,
+    (q31_t)0x5c3f6d47, (q31_t)0x396dc414, (q31_t)0x5c4ab36b, (q31_t)0x39683715,
+    (q31_t)0x5c55f878, (q31_t)0x3962a7e0, (q31_t)0x5c613c6d, (q31_t)0x395d1675,
+    (q31_t)0x5c6c7f4a, (q31_t)0x395782d3, (q31_t)0x5c77c10e, (q31_t)0x3951ecfc,
+    (q31_t)0x5c8301b9, (q31_t)0x394c54ee, (q31_t)0x5c8e414b, (q31_t)0x3946baac,
+    (q31_t)0x5c997fc4, (q31_t)0x39411e33, (q31_t)0x5ca4bd21, (q31_t)0x393b7f86,
+    (q31_t)0x5caff965, (q31_t)0x3935dea4, (q31_t)0x5cbb348d, (q31_t)0x39303b8e,
+    (q31_t)0x5cc66e99, (q31_t)0x392a9642, (q31_t)0x5cd1a78a, (q31_t)0x3924eec3,
+    (q31_t)0x5cdcdf5e, (q31_t)0x391f4510, (q31_t)0x5ce81615, (q31_t)0x39199929,
+    (q31_t)0x5cf34baf, (q31_t)0x3913eb0e, (q31_t)0x5cfe802b, (q31_t)0x390e3ac0,
+    (q31_t)0x5d09b389, (q31_t)0x3908883f, (q31_t)0x5d14e5c9, (q31_t)0x3902d38b,
+    (q31_t)0x5d2016e9, (q31_t)0x38fd1ca4, (q31_t)0x5d2b46ea, (q31_t)0x38f7638b,
+    (q31_t)0x5d3675cb, (q31_t)0x38f1a840, (q31_t)0x5d41a38c, (q31_t)0x38ebeac2,
+    (q31_t)0x5d4cd02c, (q31_t)0x38e62b13, (q31_t)0x5d57fbaa, (q31_t)0x38e06932,
+    (q31_t)0x5d632608, (q31_t)0x38daa520, (q31_t)0x5d6e4f43, (q31_t)0x38d4dedd,
+    (q31_t)0x5d79775c, (q31_t)0x38cf1669, (q31_t)0x5d849e51, (q31_t)0x38c94bc4,
+    (q31_t)0x5d8fc424, (q31_t)0x38c37eef, (q31_t)0x5d9ae8d2, (q31_t)0x38bdafea,
+    (q31_t)0x5da60c5d, (q31_t)0x38b7deb4, (q31_t)0x5db12ec3, (q31_t)0x38b20b4f,
+    (q31_t)0x5dbc5004, (q31_t)0x38ac35ba, (q31_t)0x5dc7701f, (q31_t)0x38a65df6,
+    (q31_t)0x5dd28f15, (q31_t)0x38a08402, (q31_t)0x5dddace4, (q31_t)0x389aa7e0,
+    (q31_t)0x5de8c98c, (q31_t)0x3894c98f, (q31_t)0x5df3e50d, (q31_t)0x388ee910,
+    (q31_t)0x5dfeff67, (q31_t)0x38890663, (q31_t)0x5e0a1898, (q31_t)0x38832187,
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+    (q31_t)0x5e2b5d38, (q31_t)0x387165e3, (q31_t)0x5e3671c5, (q31_t)0x386b7852,
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+    (q31_t)0x5e83e0eb, (q31_t)0x3841bc7f, (q31_t)0x5e8eec1b, (q31_t)0x383bbd8e,
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+    (q31_t)0x5ef21b90, (q31_t)0x3805659e, (q31_t)0x5efd1ae4, (q31_t)0x37ff5109,
+    (q31_t)0x5f081907, (q31_t)0x37f93a4b, (q31_t)0x5f1315f7, (q31_t)0x37f32165,
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+    (q31_t)0x5f340596, (q31_t)0x37e0c9c3, (q31_t)0x5f3efdb9, (q31_t)0x37daa83d,
+    (q31_t)0x5f49f4a8, (q31_t)0x37d48490, (q31_t)0x5f54ea62, (q31_t)0x37ce5ebd,
+    (q31_t)0x5f5fdee6, (q31_t)0x37c836c2, (q31_t)0x5f6ad235, (q31_t)0x37c20ca1,
+    (q31_t)0x5f75c44e, (q31_t)0x37bbe05a, (q31_t)0x5f80b531, (q31_t)0x37b5b1ec,
+    (q31_t)0x5f8ba4dc, (q31_t)0x37af8159, (q31_t)0x5f969350, (q31_t)0x37a94ea0,
+    (q31_t)0x5fa1808c, (q31_t)0x37a319c2, (q31_t)0x5fac6c91, (q31_t)0x379ce2be,
+    (q31_t)0x5fb7575c, (q31_t)0x3796a996, (q31_t)0x5fc240ef, (q31_t)0x37906e49,
+    (q31_t)0x5fcd2948, (q31_t)0x378a30d8, (q31_t)0x5fd81067, (q31_t)0x3783f143,
+    (q31_t)0x5fe2f64c, (q31_t)0x377daf89, (q31_t)0x5feddaf6, (q31_t)0x37776bac,
+    (q31_t)0x5ff8be65, (q31_t)0x377125ac, (q31_t)0x6003a099, (q31_t)0x376add88,
+    (q31_t)0x600e8190, (q31_t)0x37649341, (q31_t)0x6019614c, (q31_t)0x375e46d8,
+    (q31_t)0x60243fca, (q31_t)0x3757f84c, (q31_t)0x602f1d0b, (q31_t)0x3751a79e,
+    (q31_t)0x6039f90f, (q31_t)0x374b54ce, (q31_t)0x6044d3d4, (q31_t)0x3744ffdd,
+    (q31_t)0x604fad5b, (q31_t)0x373ea8ca, (q31_t)0x605a85a3, (q31_t)0x37384f95,
+    (q31_t)0x60655cac, (q31_t)0x3731f440, (q31_t)0x60703275, (q31_t)0x372b96ca,
+    (q31_t)0x607b06fe, (q31_t)0x37253733, (q31_t)0x6085da46, (q31_t)0x371ed57c,
+    (q31_t)0x6090ac4d, (q31_t)0x371871a5, (q31_t)0x609b7d13, (q31_t)0x37120bae,
+    (q31_t)0x60a64c97, (q31_t)0x370ba398, (q31_t)0x60b11ad9, (q31_t)0x37053962,
+    (q31_t)0x60bbe7d8, (q31_t)0x36fecd0e, (q31_t)0x60c6b395, (q31_t)0x36f85e9a,
+    (q31_t)0x60d17e0d, (q31_t)0x36f1ee09, (q31_t)0x60dc4742, (q31_t)0x36eb7b58,
+    (q31_t)0x60e70f32, (q31_t)0x36e5068a, (q31_t)0x60f1d5de, (q31_t)0x36de8f9e,
+    (q31_t)0x60fc9b44, (q31_t)0x36d81695, (q31_t)0x61075f65, (q31_t)0x36d19b6e,
+    (q31_t)0x61122240, (q31_t)0x36cb1e2a, (q31_t)0x611ce3d5, (q31_t)0x36c49ec9,
+    (q31_t)0x6127a423, (q31_t)0x36be1d4c, (q31_t)0x61326329, (q31_t)0x36b799b3,
+    (q31_t)0x613d20e8, (q31_t)0x36b113fd, (q31_t)0x6147dd5f, (q31_t)0x36aa8c2c,
+    (q31_t)0x6152988d, (q31_t)0x36a4023f, (q31_t)0x615d5273, (q31_t)0x369d7637,
+    (q31_t)0x61680b0f, (q31_t)0x3696e814, (q31_t)0x6172c262, (q31_t)0x369057d6,
+    (q31_t)0x617d786a, (q31_t)0x3689c57d, (q31_t)0x61882d28, (q31_t)0x3683310b,
+    (q31_t)0x6192e09b, (q31_t)0x367c9a7e, (q31_t)0x619d92c2, (q31_t)0x367601d7,
+    (q31_t)0x61a8439e, (q31_t)0x366f6717, (q31_t)0x61b2f32e, (q31_t)0x3668ca3e,
+    (q31_t)0x61bda171, (q31_t)0x36622b4c, (q31_t)0x61c84e67, (q31_t)0x365b8a41,
+    (q31_t)0x61d2fa0f, (q31_t)0x3654e71d, (q31_t)0x61dda46a, (q31_t)0x364e41e2,
+    (q31_t)0x61e84d76, (q31_t)0x36479a8e, (q31_t)0x61f2f534, (q31_t)0x3640f123,
+    (q31_t)0x61fd9ba3, (q31_t)0x363a45a0, (q31_t)0x620840c2, (q31_t)0x36339806,
+    (q31_t)0x6212e492, (q31_t)0x362ce855, (q31_t)0x621d8711, (q31_t)0x3626368d,
+    (q31_t)0x6228283f, (q31_t)0x361f82af, (q31_t)0x6232c81c, (q31_t)0x3618ccba,
+    (q31_t)0x623d66a8, (q31_t)0x361214b0, (q31_t)0x624803e2, (q31_t)0x360b5a90,
+    (q31_t)0x62529fca, (q31_t)0x36049e5b, (q31_t)0x625d3a5e, (q31_t)0x35fde011,
+    (q31_t)0x6267d3a0, (q31_t)0x35f71fb1, (q31_t)0x62726b8e, (q31_t)0x35f05d3d,
+    (q31_t)0x627d0228, (q31_t)0x35e998b5, (q31_t)0x6287976e, (q31_t)0x35e2d219,
+    (q31_t)0x62922b5e, (q31_t)0x35dc0968, (q31_t)0x629cbdfa, (q31_t)0x35d53ea5,
+    (q31_t)0x62a74f40, (q31_t)0x35ce71ce, (q31_t)0x62b1df30, (q31_t)0x35c7a2e3,
+    (q31_t)0x62bc6dca, (q31_t)0x35c0d1e7, (q31_t)0x62c6fb0c, (q31_t)0x35b9fed7,
+    (q31_t)0x62d186f8, (q31_t)0x35b329b5, (q31_t)0x62dc118c, (q31_t)0x35ac5282,
+    (q31_t)0x62e69ac8, (q31_t)0x35a5793c, (q31_t)0x62f122ab, (q31_t)0x359e9de5,
+    (q31_t)0x62fba936, (q31_t)0x3597c07d, (q31_t)0x63062e67, (q31_t)0x3590e104,
+    (q31_t)0x6310b23e, (q31_t)0x3589ff7a, (q31_t)0x631b34bc, (q31_t)0x35831be0,
+    (q31_t)0x6325b5df, (q31_t)0x357c3636, (q31_t)0x633035a7, (q31_t)0x35754e7c,
+    (q31_t)0x633ab414, (q31_t)0x356e64b2, (q31_t)0x63453125, (q31_t)0x356778d9,
+    (q31_t)0x634facda, (q31_t)0x35608af1, (q31_t)0x635a2733, (q31_t)0x35599afa,
+    (q31_t)0x6364a02e, (q31_t)0x3552a8f4, (q31_t)0x636f17cc, (q31_t)0x354bb4e1,
+    (q31_t)0x63798e0d, (q31_t)0x3544bebf, (q31_t)0x638402ef, (q31_t)0x353dc68f,
+    (q31_t)0x638e7673, (q31_t)0x3536cc52, (q31_t)0x6398e898, (q31_t)0x352fd008,
+    (q31_t)0x63a3595e, (q31_t)0x3528d1b1, (q31_t)0x63adc8c4, (q31_t)0x3521d14d,
+    (q31_t)0x63b836ca, (q31_t)0x351acedd, (q31_t)0x63c2a36f, (q31_t)0x3513ca60,
+    (q31_t)0x63cd0eb3, (q31_t)0x350cc3d8, (q31_t)0x63d77896, (q31_t)0x3505bb44,
+    (q31_t)0x63e1e117, (q31_t)0x34feb0a5, (q31_t)0x63ec4837, (q31_t)0x34f7a3fb,
+    (q31_t)0x63f6adf3, (q31_t)0x34f09546, (q31_t)0x6401124d, (q31_t)0x34e98487,
+    (q31_t)0x640b7543, (q31_t)0x34e271bd, (q31_t)0x6415d6d5, (q31_t)0x34db5cea,
+    (q31_t)0x64203704, (q31_t)0x34d4460c, (q31_t)0x642a95ce, (q31_t)0x34cd2d26,
+    (q31_t)0x6434f332, (q31_t)0x34c61236, (q31_t)0x643f4f32, (q31_t)0x34bef53d,
+    (q31_t)0x6449a9cc, (q31_t)0x34b7d63c, (q31_t)0x645402ff, (q31_t)0x34b0b533,
+    (q31_t)0x645e5acc, (q31_t)0x34a99221, (q31_t)0x6468b132, (q31_t)0x34a26d08,
+    (q31_t)0x64730631, (q31_t)0x349b45e7, (q31_t)0x647d59c8, (q31_t)0x34941cbf,
+    (q31_t)0x6487abf7, (q31_t)0x348cf190, (q31_t)0x6491fcbe, (q31_t)0x3485c45b,
+    (q31_t)0x649c4c1b, (q31_t)0x347e951f, (q31_t)0x64a69a0f, (q31_t)0x347763dd,
+    (q31_t)0x64b0e699, (q31_t)0x34703095, (q31_t)0x64bb31ba, (q31_t)0x3468fb47,
+    (q31_t)0x64c57b6f, (q31_t)0x3461c3f5, (q31_t)0x64cfc3ba, (q31_t)0x345a8a9d,
+    (q31_t)0x64da0a9a, (q31_t)0x34534f41, (q31_t)0x64e4500e, (q31_t)0x344c11e0,
+    (q31_t)0x64ee9415, (q31_t)0x3444d27b, (q31_t)0x64f8d6b0, (q31_t)0x343d9112,
+    (q31_t)0x650317df, (q31_t)0x34364da6, (q31_t)0x650d57a0, (q31_t)0x342f0836,
+    (q31_t)0x651795f3, (q31_t)0x3427c0c3, (q31_t)0x6521d2d8, (q31_t)0x3420774d,
+    (q31_t)0x652c0e4f, (q31_t)0x34192bd5, (q31_t)0x65364857, (q31_t)0x3411de5b,
+    (q31_t)0x654080ef, (q31_t)0x340a8edf, (q31_t)0x654ab818, (q31_t)0x34033d61,
+    (q31_t)0x6554edd1, (q31_t)0x33fbe9e2, (q31_t)0x655f2219, (q31_t)0x33f49462,
+    (q31_t)0x656954f1, (q31_t)0x33ed3ce1, (q31_t)0x65738657, (q31_t)0x33e5e360,
+    (q31_t)0x657db64c, (q31_t)0x33de87de, (q31_t)0x6587e4cf, (q31_t)0x33d72a5d,
+    (q31_t)0x659211df, (q31_t)0x33cfcadc, (q31_t)0x659c3d7c, (q31_t)0x33c8695b,
+    (q31_t)0x65a667a7, (q31_t)0x33c105db, (q31_t)0x65b0905d, (q31_t)0x33b9a05d,
+    (q31_t)0x65bab7a0, (q31_t)0x33b238e0, (q31_t)0x65c4dd6e, (q31_t)0x33aacf65,
+    (q31_t)0x65cf01c8, (q31_t)0x33a363ec, (q31_t)0x65d924ac, (q31_t)0x339bf675,
+    (q31_t)0x65e3461b, (q31_t)0x33948701, (q31_t)0x65ed6614, (q31_t)0x338d1590,
+    (q31_t)0x65f78497, (q31_t)0x3385a222, (q31_t)0x6601a1a2, (q31_t)0x337e2cb7,
+    (q31_t)0x660bbd37, (q31_t)0x3376b551, (q31_t)0x6615d754, (q31_t)0x336f3bee,
+    (q31_t)0x661feffa, (q31_t)0x3367c090, (q31_t)0x662a0727, (q31_t)0x33604336,
+    (q31_t)0x66341cdb, (q31_t)0x3358c3e2, (q31_t)0x663e3117, (q31_t)0x33514292,
+    (q31_t)0x664843d9, (q31_t)0x3349bf48, (q31_t)0x66525521, (q31_t)0x33423a04,
+    (q31_t)0x665c64ef, (q31_t)0x333ab2c6, (q31_t)0x66667342, (q31_t)0x3333298f,
+    (q31_t)0x6670801a, (q31_t)0x332b9e5e, (q31_t)0x667a8b77, (q31_t)0x33241134,
+    (q31_t)0x66849558, (q31_t)0x331c8211, (q31_t)0x668e9dbd, (q31_t)0x3314f0f6,
+    (q31_t)0x6698a4a6, (q31_t)0x330d5de3, (q31_t)0x66a2aa11, (q31_t)0x3305c8d7,
+    (q31_t)0x66acadff, (q31_t)0x32fe31d5, (q31_t)0x66b6b070, (q31_t)0x32f698db,
+    (q31_t)0x66c0b162, (q31_t)0x32eefdea, (q31_t)0x66cab0d6, (q31_t)0x32e76102,
+    (q31_t)0x66d4aecb, (q31_t)0x32dfc224, (q31_t)0x66deab41, (q31_t)0x32d82150,
+    (q31_t)0x66e8a637, (q31_t)0x32d07e85, (q31_t)0x66f29fad, (q31_t)0x32c8d9c6,
+    (q31_t)0x66fc97a3, (q31_t)0x32c13311, (q31_t)0x67068e18, (q31_t)0x32b98a67,
+    (q31_t)0x6710830c, (q31_t)0x32b1dfc9, (q31_t)0x671a767e, (q31_t)0x32aa3336,
+    (q31_t)0x6724686e, (q31_t)0x32a284b0, (q31_t)0x672e58dc, (q31_t)0x329ad435,
+    (q31_t)0x673847c8, (q31_t)0x329321c7, (q31_t)0x67423530, (q31_t)0x328b6d66,
+    (q31_t)0x674c2115, (q31_t)0x3283b712, (q31_t)0x67560b76, (q31_t)0x327bfecc,
+    (q31_t)0x675ff452, (q31_t)0x32744493, (q31_t)0x6769dbaa, (q31_t)0x326c8868,
+    (q31_t)0x6773c17d, (q31_t)0x3264ca4c, (q31_t)0x677da5cb, (q31_t)0x325d0a3e,
+    (q31_t)0x67878893, (q31_t)0x32554840, (q31_t)0x679169d5, (q31_t)0x324d8450,
+    (q31_t)0x679b4990, (q31_t)0x3245be70, (q31_t)0x67a527c4, (q31_t)0x323df6a0,
+    (q31_t)0x67af0472, (q31_t)0x32362ce0, (q31_t)0x67b8df97, (q31_t)0x322e6130,
+    (q31_t)0x67c2b934, (q31_t)0x32269391, (q31_t)0x67cc9149, (q31_t)0x321ec403,
+    (q31_t)0x67d667d5, (q31_t)0x3216f287, (q31_t)0x67e03cd8, (q31_t)0x320f1f1c,
+    (q31_t)0x67ea1052, (q31_t)0x320749c3, (q31_t)0x67f3e241, (q31_t)0x31ff727c,
+    (q31_t)0x67fdb2a7, (q31_t)0x31f79948, (q31_t)0x68078181, (q31_t)0x31efbe27,
+    (q31_t)0x68114ed0, (q31_t)0x31e7e118, (q31_t)0x681b1a94, (q31_t)0x31e0021e,
+    (q31_t)0x6824e4cc, (q31_t)0x31d82137, (q31_t)0x682ead78, (q31_t)0x31d03e64,
+    (q31_t)0x68387498, (q31_t)0x31c859a5, (q31_t)0x68423a2a, (q31_t)0x31c072fb,
+    (q31_t)0x684bfe2f, (q31_t)0x31b88a66, (q31_t)0x6855c0a6, (q31_t)0x31b09fe7,
+    (q31_t)0x685f8190, (q31_t)0x31a8b37c, (q31_t)0x686940ea, (q31_t)0x31a0c528,
+    (q31_t)0x6872feb6, (q31_t)0x3198d4ea, (q31_t)0x687cbaf3, (q31_t)0x3190e2c3,
+    (q31_t)0x688675a0, (q31_t)0x3188eeb2, (q31_t)0x68902ebd, (q31_t)0x3180f8b8,
+    (q31_t)0x6899e64a, (q31_t)0x317900d6, (q31_t)0x68a39c46, (q31_t)0x3171070c,
+    (q31_t)0x68ad50b1, (q31_t)0x31690b59, (q31_t)0x68b7038b, (q31_t)0x31610dbf,
+    (q31_t)0x68c0b4d2, (q31_t)0x31590e3e, (q31_t)0x68ca6488, (q31_t)0x31510cd5,
+    (q31_t)0x68d412ab, (q31_t)0x31490986, (q31_t)0x68ddbf3b, (q31_t)0x31410450,
+    (q31_t)0x68e76a37, (q31_t)0x3138fd35, (q31_t)0x68f113a0, (q31_t)0x3130f433,
+    (q31_t)0x68fabb75, (q31_t)0x3128e94c, (q31_t)0x690461b5, (q31_t)0x3120dc80,
+    (q31_t)0x690e0661, (q31_t)0x3118cdcf, (q31_t)0x6917a977, (q31_t)0x3110bd39,
+    (q31_t)0x69214af8, (q31_t)0x3108aabf, (q31_t)0x692aeae3, (q31_t)0x31009661,
+    (q31_t)0x69348937, (q31_t)0x30f8801f, (q31_t)0x693e25f5, (q31_t)0x30f067fb,
+    (q31_t)0x6947c11c, (q31_t)0x30e84df3, (q31_t)0x69515aab, (q31_t)0x30e03208,
+    (q31_t)0x695af2a3, (q31_t)0x30d8143b, (q31_t)0x69648902, (q31_t)0x30cff48c,
+    (q31_t)0x696e1dc9, (q31_t)0x30c7d2fb, (q31_t)0x6977b0f7, (q31_t)0x30bfaf89,
+    (q31_t)0x6981428c, (q31_t)0x30b78a36, (q31_t)0x698ad287, (q31_t)0x30af6302,
+    (q31_t)0x699460e8, (q31_t)0x30a739ed, (q31_t)0x699dedaf, (q31_t)0x309f0ef8,
+    (q31_t)0x69a778db, (q31_t)0x3096e223, (q31_t)0x69b1026c, (q31_t)0x308eb36f,
+    (q31_t)0x69ba8a61, (q31_t)0x308682dc, (q31_t)0x69c410ba, (q31_t)0x307e5069,
+    (q31_t)0x69cd9578, (q31_t)0x30761c18, (q31_t)0x69d71899, (q31_t)0x306de5e9,
+    (q31_t)0x69e09a1c, (q31_t)0x3065addb, (q31_t)0x69ea1a03, (q31_t)0x305d73f0,
+    (q31_t)0x69f3984c, (q31_t)0x30553828, (q31_t)0x69fd14f6, (q31_t)0x304cfa83,
+    (q31_t)0x6a069003, (q31_t)0x3044bb00, (q31_t)0x6a100970, (q31_t)0x303c79a2,
+    (q31_t)0x6a19813f, (q31_t)0x30343667, (q31_t)0x6a22f76e, (q31_t)0x302bf151,
+    (q31_t)0x6a2c6bfd, (q31_t)0x3023aa5f, (q31_t)0x6a35deeb, (q31_t)0x301b6193,
+    (q31_t)0x6a3f503a, (q31_t)0x301316eb, (q31_t)0x6a48bfe7, (q31_t)0x300aca69,
+    (q31_t)0x6a522df3, (q31_t)0x30027c0c, (q31_t)0x6a5b9a5d, (q31_t)0x2ffa2bd6,
+    (q31_t)0x6a650525, (q31_t)0x2ff1d9c7, (q31_t)0x6a6e6e4b, (q31_t)0x2fe985de,
+    (q31_t)0x6a77d5ce, (q31_t)0x2fe1301c, (q31_t)0x6a813bae, (q31_t)0x2fd8d882,
+    (q31_t)0x6a8a9fea, (q31_t)0x2fd07f0f, (q31_t)0x6a940283, (q31_t)0x2fc823c5,
+    (q31_t)0x6a9d6377, (q31_t)0x2fbfc6a3, (q31_t)0x6aa6c2c6, (q31_t)0x2fb767aa,
+    (q31_t)0x6ab02071, (q31_t)0x2faf06da, (q31_t)0x6ab97c77, (q31_t)0x2fa6a433,
+    (q31_t)0x6ac2d6d6, (q31_t)0x2f9e3fb6, (q31_t)0x6acc2f90, (q31_t)0x2f95d963,
+    (q31_t)0x6ad586a3, (q31_t)0x2f8d713a, (q31_t)0x6adedc10, (q31_t)0x2f85073c,
+    (q31_t)0x6ae82fd5, (q31_t)0x2f7c9b69, (q31_t)0x6af181f3, (q31_t)0x2f742dc1,
+    (q31_t)0x6afad269, (q31_t)0x2f6bbe45, (q31_t)0x6b042137, (q31_t)0x2f634cf5,
+    (q31_t)0x6b0d6e5c, (q31_t)0x2f5ad9d1, (q31_t)0x6b16b9d9, (q31_t)0x2f5264da,
+    (q31_t)0x6b2003ac, (q31_t)0x2f49ee0f, (q31_t)0x6b294bd5, (q31_t)0x2f417573,
+    (q31_t)0x6b329255, (q31_t)0x2f38fb03, (q31_t)0x6b3bd72a, (q31_t)0x2f307ec2,
+    (q31_t)0x6b451a55, (q31_t)0x2f2800af, (q31_t)0x6b4e5bd4, (q31_t)0x2f1f80ca,
+    (q31_t)0x6b579ba8, (q31_t)0x2f16ff14, (q31_t)0x6b60d9d0, (q31_t)0x2f0e7b8e,
+    (q31_t)0x6b6a164d, (q31_t)0x2f05f637, (q31_t)0x6b73511c, (q31_t)0x2efd6f10,
+    (q31_t)0x6b7c8a3f, (q31_t)0x2ef4e619, (q31_t)0x6b85c1b5, (q31_t)0x2eec5b53,
+    (q31_t)0x6b8ef77d, (q31_t)0x2ee3cebe, (q31_t)0x6b982b97, (q31_t)0x2edb405a,
+    (q31_t)0x6ba15e03, (q31_t)0x2ed2b027, (q31_t)0x6baa8ec0, (q31_t)0x2eca1e27,
+    (q31_t)0x6bb3bdce, (q31_t)0x2ec18a58, (q31_t)0x6bbceb2d, (q31_t)0x2eb8f4bc,
+    (q31_t)0x6bc616dd, (q31_t)0x2eb05d53, (q31_t)0x6bcf40dc, (q31_t)0x2ea7c41e,
+    (q31_t)0x6bd8692b, (q31_t)0x2e9f291b, (q31_t)0x6be18fc9, (q31_t)0x2e968c4d,
+    (q31_t)0x6beab4b6, (q31_t)0x2e8dedb3, (q31_t)0x6bf3d7f2, (q31_t)0x2e854d4d,
+    (q31_t)0x6bfcf97c, (q31_t)0x2e7cab1c, (q31_t)0x6c061953, (q31_t)0x2e740720,
+    (q31_t)0x6c0f3779, (q31_t)0x2e6b615a, (q31_t)0x6c1853eb, (q31_t)0x2e62b9ca,
+    (q31_t)0x6c216eaa, (q31_t)0x2e5a1070, (q31_t)0x6c2a87b6, (q31_t)0x2e51654c,
+    (q31_t)0x6c339f0e, (q31_t)0x2e48b860, (q31_t)0x6c3cb4b1, (q31_t)0x2e4009aa,
+    (q31_t)0x6c45c8a0, (q31_t)0x2e37592c, (q31_t)0x6c4edada, (q31_t)0x2e2ea6e6,
+    (q31_t)0x6c57eb5e, (q31_t)0x2e25f2d8, (q31_t)0x6c60fa2d, (q31_t)0x2e1d3d03,
+    (q31_t)0x6c6a0746, (q31_t)0x2e148566, (q31_t)0x6c7312a9, (q31_t)0x2e0bcc03,
+    (q31_t)0x6c7c1c55, (q31_t)0x2e0310d9, (q31_t)0x6c85244a, (q31_t)0x2dfa53e9,
+    (q31_t)0x6c8e2a87, (q31_t)0x2df19534, (q31_t)0x6c972f0d, (q31_t)0x2de8d4b8,
+    (q31_t)0x6ca031da, (q31_t)0x2de01278, (q31_t)0x6ca932ef, (q31_t)0x2dd74e73,
+    (q31_t)0x6cb2324c, (q31_t)0x2dce88aa, (q31_t)0x6cbb2fef, (q31_t)0x2dc5c11c,
+    (q31_t)0x6cc42bd9, (q31_t)0x2dbcf7cb, (q31_t)0x6ccd2609, (q31_t)0x2db42cb6,
+    (q31_t)0x6cd61e7f, (q31_t)0x2dab5fdf, (q31_t)0x6cdf153a, (q31_t)0x2da29144,
+    (q31_t)0x6ce80a3a, (q31_t)0x2d99c0e7, (q31_t)0x6cf0fd80, (q31_t)0x2d90eec8,
+    (q31_t)0x6cf9ef09, (q31_t)0x2d881ae8, (q31_t)0x6d02ded7, (q31_t)0x2d7f4545,
+    (q31_t)0x6d0bcce8, (q31_t)0x2d766de2, (q31_t)0x6d14b93d, (q31_t)0x2d6d94bf,
+    (q31_t)0x6d1da3d5, (q31_t)0x2d64b9da, (q31_t)0x6d268cb0, (q31_t)0x2d5bdd36,
+    (q31_t)0x6d2f73cd, (q31_t)0x2d52fed2, (q31_t)0x6d38592c, (q31_t)0x2d4a1eaf,
+    (q31_t)0x6d413ccd, (q31_t)0x2d413ccd, (q31_t)0x6d4a1eaf, (q31_t)0x2d38592c,
+    (q31_t)0x6d52fed2, (q31_t)0x2d2f73cd, (q31_t)0x6d5bdd36, (q31_t)0x2d268cb0,
+    (q31_t)0x6d64b9da, (q31_t)0x2d1da3d5, (q31_t)0x6d6d94bf, (q31_t)0x2d14b93d,
+    (q31_t)0x6d766de2, (q31_t)0x2d0bcce8, (q31_t)0x6d7f4545, (q31_t)0x2d02ded7,
+    (q31_t)0x6d881ae8, (q31_t)0x2cf9ef09, (q31_t)0x6d90eec8, (q31_t)0x2cf0fd80,
+    (q31_t)0x6d99c0e7, (q31_t)0x2ce80a3a, (q31_t)0x6da29144, (q31_t)0x2cdf153a,
+    (q31_t)0x6dab5fdf, (q31_t)0x2cd61e7f, (q31_t)0x6db42cb6, (q31_t)0x2ccd2609,
+    (q31_t)0x6dbcf7cb, (q31_t)0x2cc42bd9, (q31_t)0x6dc5c11c, (q31_t)0x2cbb2fef,
+    (q31_t)0x6dce88aa, (q31_t)0x2cb2324c, (q31_t)0x6dd74e73, (q31_t)0x2ca932ef,
+    (q31_t)0x6de01278, (q31_t)0x2ca031da, (q31_t)0x6de8d4b8, (q31_t)0x2c972f0d,
+    (q31_t)0x6df19534, (q31_t)0x2c8e2a87, (q31_t)0x6dfa53e9, (q31_t)0x2c85244a,
+    (q31_t)0x6e0310d9, (q31_t)0x2c7c1c55, (q31_t)0x6e0bcc03, (q31_t)0x2c7312a9,
+    (q31_t)0x6e148566, (q31_t)0x2c6a0746, (q31_t)0x6e1d3d03, (q31_t)0x2c60fa2d,
+    (q31_t)0x6e25f2d8, (q31_t)0x2c57eb5e, (q31_t)0x6e2ea6e6, (q31_t)0x2c4edada,
+    (q31_t)0x6e37592c, (q31_t)0x2c45c8a0, (q31_t)0x6e4009aa, (q31_t)0x2c3cb4b1,
+    (q31_t)0x6e48b860, (q31_t)0x2c339f0e, (q31_t)0x6e51654c, (q31_t)0x2c2a87b6,
+    (q31_t)0x6e5a1070, (q31_t)0x2c216eaa, (q31_t)0x6e62b9ca, (q31_t)0x2c1853eb,
+    (q31_t)0x6e6b615a, (q31_t)0x2c0f3779, (q31_t)0x6e740720, (q31_t)0x2c061953,
+    (q31_t)0x6e7cab1c, (q31_t)0x2bfcf97c, (q31_t)0x6e854d4d, (q31_t)0x2bf3d7f2,
+    (q31_t)0x6e8dedb3, (q31_t)0x2beab4b6, (q31_t)0x6e968c4d, (q31_t)0x2be18fc9,
+    (q31_t)0x6e9f291b, (q31_t)0x2bd8692b, (q31_t)0x6ea7c41e, (q31_t)0x2bcf40dc,
+    (q31_t)0x6eb05d53, (q31_t)0x2bc616dd, (q31_t)0x6eb8f4bc, (q31_t)0x2bbceb2d,
+    (q31_t)0x6ec18a58, (q31_t)0x2bb3bdce, (q31_t)0x6eca1e27, (q31_t)0x2baa8ec0,
+    (q31_t)0x6ed2b027, (q31_t)0x2ba15e03, (q31_t)0x6edb405a, (q31_t)0x2b982b97,
+    (q31_t)0x6ee3cebe, (q31_t)0x2b8ef77d, (q31_t)0x6eec5b53, (q31_t)0x2b85c1b5,
+    (q31_t)0x6ef4e619, (q31_t)0x2b7c8a3f, (q31_t)0x6efd6f10, (q31_t)0x2b73511c,
+    (q31_t)0x6f05f637, (q31_t)0x2b6a164d, (q31_t)0x6f0e7b8e, (q31_t)0x2b60d9d0,
+    (q31_t)0x6f16ff14, (q31_t)0x2b579ba8, (q31_t)0x6f1f80ca, (q31_t)0x2b4e5bd4,
+    (q31_t)0x6f2800af, (q31_t)0x2b451a55, (q31_t)0x6f307ec2, (q31_t)0x2b3bd72a,
+    (q31_t)0x6f38fb03, (q31_t)0x2b329255, (q31_t)0x6f417573, (q31_t)0x2b294bd5,
+    (q31_t)0x6f49ee0f, (q31_t)0x2b2003ac, (q31_t)0x6f5264da, (q31_t)0x2b16b9d9,
+    (q31_t)0x6f5ad9d1, (q31_t)0x2b0d6e5c, (q31_t)0x6f634cf5, (q31_t)0x2b042137,
+    (q31_t)0x6f6bbe45, (q31_t)0x2afad269, (q31_t)0x6f742dc1, (q31_t)0x2af181f3,
+    (q31_t)0x6f7c9b69, (q31_t)0x2ae82fd5, (q31_t)0x6f85073c, (q31_t)0x2adedc10,
+    (q31_t)0x6f8d713a, (q31_t)0x2ad586a3, (q31_t)0x6f95d963, (q31_t)0x2acc2f90,
+    (q31_t)0x6f9e3fb6, (q31_t)0x2ac2d6d6, (q31_t)0x6fa6a433, (q31_t)0x2ab97c77,
+    (q31_t)0x6faf06da, (q31_t)0x2ab02071, (q31_t)0x6fb767aa, (q31_t)0x2aa6c2c6,
+    (q31_t)0x6fbfc6a3, (q31_t)0x2a9d6377, (q31_t)0x6fc823c5, (q31_t)0x2a940283,
+    (q31_t)0x6fd07f0f, (q31_t)0x2a8a9fea, (q31_t)0x6fd8d882, (q31_t)0x2a813bae,
+    (q31_t)0x6fe1301c, (q31_t)0x2a77d5ce, (q31_t)0x6fe985de, (q31_t)0x2a6e6e4b,
+    (q31_t)0x6ff1d9c7, (q31_t)0x2a650525, (q31_t)0x6ffa2bd6, (q31_t)0x2a5b9a5d,
+    (q31_t)0x70027c0c, (q31_t)0x2a522df3, (q31_t)0x700aca69, (q31_t)0x2a48bfe7,
+    (q31_t)0x701316eb, (q31_t)0x2a3f503a, (q31_t)0x701b6193, (q31_t)0x2a35deeb,
+    (q31_t)0x7023aa5f, (q31_t)0x2a2c6bfd, (q31_t)0x702bf151, (q31_t)0x2a22f76e,
+    (q31_t)0x70343667, (q31_t)0x2a19813f, (q31_t)0x703c79a2, (q31_t)0x2a100970,
+    (q31_t)0x7044bb00, (q31_t)0x2a069003, (q31_t)0x704cfa83, (q31_t)0x29fd14f6,
+    (q31_t)0x70553828, (q31_t)0x29f3984c, (q31_t)0x705d73f0, (q31_t)0x29ea1a03,
+    (q31_t)0x7065addb, (q31_t)0x29e09a1c, (q31_t)0x706de5e9, (q31_t)0x29d71899,
+    (q31_t)0x70761c18, (q31_t)0x29cd9578, (q31_t)0x707e5069, (q31_t)0x29c410ba,
+    (q31_t)0x708682dc, (q31_t)0x29ba8a61, (q31_t)0x708eb36f, (q31_t)0x29b1026c,
+    (q31_t)0x7096e223, (q31_t)0x29a778db, (q31_t)0x709f0ef8, (q31_t)0x299dedaf,
+    (q31_t)0x70a739ed, (q31_t)0x299460e8, (q31_t)0x70af6302, (q31_t)0x298ad287,
+    (q31_t)0x70b78a36, (q31_t)0x2981428c, (q31_t)0x70bfaf89, (q31_t)0x2977b0f7,
+    (q31_t)0x70c7d2fb, (q31_t)0x296e1dc9, (q31_t)0x70cff48c, (q31_t)0x29648902,
+    (q31_t)0x70d8143b, (q31_t)0x295af2a3, (q31_t)0x70e03208, (q31_t)0x29515aab,
+    (q31_t)0x70e84df3, (q31_t)0x2947c11c, (q31_t)0x70f067fb, (q31_t)0x293e25f5,
+    (q31_t)0x70f8801f, (q31_t)0x29348937, (q31_t)0x71009661, (q31_t)0x292aeae3,
+    (q31_t)0x7108aabf, (q31_t)0x29214af8, (q31_t)0x7110bd39, (q31_t)0x2917a977,
+    (q31_t)0x7118cdcf, (q31_t)0x290e0661, (q31_t)0x7120dc80, (q31_t)0x290461b5,
+    (q31_t)0x7128e94c, (q31_t)0x28fabb75, (q31_t)0x7130f433, (q31_t)0x28f113a0,
+    (q31_t)0x7138fd35, (q31_t)0x28e76a37, (q31_t)0x71410450, (q31_t)0x28ddbf3b,
+    (q31_t)0x71490986, (q31_t)0x28d412ab, (q31_t)0x71510cd5, (q31_t)0x28ca6488,
+    (q31_t)0x71590e3e, (q31_t)0x28c0b4d2, (q31_t)0x71610dbf, (q31_t)0x28b7038b,
+    (q31_t)0x71690b59, (q31_t)0x28ad50b1, (q31_t)0x7171070c, (q31_t)0x28a39c46,
+    (q31_t)0x717900d6, (q31_t)0x2899e64a, (q31_t)0x7180f8b8, (q31_t)0x28902ebd,
+    (q31_t)0x7188eeb2, (q31_t)0x288675a0, (q31_t)0x7190e2c3, (q31_t)0x287cbaf3,
+    (q31_t)0x7198d4ea, (q31_t)0x2872feb6, (q31_t)0x71a0c528, (q31_t)0x286940ea,
+    (q31_t)0x71a8b37c, (q31_t)0x285f8190, (q31_t)0x71b09fe7, (q31_t)0x2855c0a6,
+    (q31_t)0x71b88a66, (q31_t)0x284bfe2f, (q31_t)0x71c072fb, (q31_t)0x28423a2a,
+    (q31_t)0x71c859a5, (q31_t)0x28387498, (q31_t)0x71d03e64, (q31_t)0x282ead78,
+    (q31_t)0x71d82137, (q31_t)0x2824e4cc, (q31_t)0x71e0021e, (q31_t)0x281b1a94,
+    (q31_t)0x71e7e118, (q31_t)0x28114ed0, (q31_t)0x71efbe27, (q31_t)0x28078181,
+    (q31_t)0x71f79948, (q31_t)0x27fdb2a7, (q31_t)0x71ff727c, (q31_t)0x27f3e241,
+    (q31_t)0x720749c3, (q31_t)0x27ea1052, (q31_t)0x720f1f1c, (q31_t)0x27e03cd8,
+    (q31_t)0x7216f287, (q31_t)0x27d667d5, (q31_t)0x721ec403, (q31_t)0x27cc9149,
+    (q31_t)0x72269391, (q31_t)0x27c2b934, (q31_t)0x722e6130, (q31_t)0x27b8df97,
+    (q31_t)0x72362ce0, (q31_t)0x27af0472, (q31_t)0x723df6a0, (q31_t)0x27a527c4,
+    (q31_t)0x7245be70, (q31_t)0x279b4990, (q31_t)0x724d8450, (q31_t)0x279169d5,
+    (q31_t)0x72554840, (q31_t)0x27878893, (q31_t)0x725d0a3e, (q31_t)0x277da5cb,
+    (q31_t)0x7264ca4c, (q31_t)0x2773c17d, (q31_t)0x726c8868, (q31_t)0x2769dbaa,
+    (q31_t)0x72744493, (q31_t)0x275ff452, (q31_t)0x727bfecc, (q31_t)0x27560b76,
+    (q31_t)0x7283b712, (q31_t)0x274c2115, (q31_t)0x728b6d66, (q31_t)0x27423530,
+    (q31_t)0x729321c7, (q31_t)0x273847c8, (q31_t)0x729ad435, (q31_t)0x272e58dc,
+    (q31_t)0x72a284b0, (q31_t)0x2724686e, (q31_t)0x72aa3336, (q31_t)0x271a767e,
+    (q31_t)0x72b1dfc9, (q31_t)0x2710830c, (q31_t)0x72b98a67, (q31_t)0x27068e18,
+    (q31_t)0x72c13311, (q31_t)0x26fc97a3, (q31_t)0x72c8d9c6, (q31_t)0x26f29fad,
+    (q31_t)0x72d07e85, (q31_t)0x26e8a637, (q31_t)0x72d82150, (q31_t)0x26deab41,
+    (q31_t)0x72dfc224, (q31_t)0x26d4aecb, (q31_t)0x72e76102, (q31_t)0x26cab0d6,
+    (q31_t)0x72eefdea, (q31_t)0x26c0b162, (q31_t)0x72f698db, (q31_t)0x26b6b070,
+    (q31_t)0x72fe31d5, (q31_t)0x26acadff, (q31_t)0x7305c8d7, (q31_t)0x26a2aa11,
+    (q31_t)0x730d5de3, (q31_t)0x2698a4a6, (q31_t)0x7314f0f6, (q31_t)0x268e9dbd,
+    (q31_t)0x731c8211, (q31_t)0x26849558, (q31_t)0x73241134, (q31_t)0x267a8b77,
+    (q31_t)0x732b9e5e, (q31_t)0x2670801a, (q31_t)0x7333298f, (q31_t)0x26667342,
+    (q31_t)0x733ab2c6, (q31_t)0x265c64ef, (q31_t)0x73423a04, (q31_t)0x26525521,
+    (q31_t)0x7349bf48, (q31_t)0x264843d9, (q31_t)0x73514292, (q31_t)0x263e3117,
+    (q31_t)0x7358c3e2, (q31_t)0x26341cdb, (q31_t)0x73604336, (q31_t)0x262a0727,
+    (q31_t)0x7367c090, (q31_t)0x261feffa, (q31_t)0x736f3bee, (q31_t)0x2615d754,
+    (q31_t)0x7376b551, (q31_t)0x260bbd37, (q31_t)0x737e2cb7, (q31_t)0x2601a1a2,
+    (q31_t)0x7385a222, (q31_t)0x25f78497, (q31_t)0x738d1590, (q31_t)0x25ed6614,
+    (q31_t)0x73948701, (q31_t)0x25e3461b, (q31_t)0x739bf675, (q31_t)0x25d924ac,
+    (q31_t)0x73a363ec, (q31_t)0x25cf01c8, (q31_t)0x73aacf65, (q31_t)0x25c4dd6e,
+    (q31_t)0x73b238e0, (q31_t)0x25bab7a0, (q31_t)0x73b9a05d, (q31_t)0x25b0905d,
+    (q31_t)0x73c105db, (q31_t)0x25a667a7, (q31_t)0x73c8695b, (q31_t)0x259c3d7c,
+    (q31_t)0x73cfcadc, (q31_t)0x259211df, (q31_t)0x73d72a5d, (q31_t)0x2587e4cf,
+    (q31_t)0x73de87de, (q31_t)0x257db64c, (q31_t)0x73e5e360, (q31_t)0x25738657,
+    (q31_t)0x73ed3ce1, (q31_t)0x256954f1, (q31_t)0x73f49462, (q31_t)0x255f2219,
+    (q31_t)0x73fbe9e2, (q31_t)0x2554edd1, (q31_t)0x74033d61, (q31_t)0x254ab818,
+    (q31_t)0x740a8edf, (q31_t)0x254080ef, (q31_t)0x7411de5b, (q31_t)0x25364857,
+    (q31_t)0x74192bd5, (q31_t)0x252c0e4f, (q31_t)0x7420774d, (q31_t)0x2521d2d8,
+    (q31_t)0x7427c0c3, (q31_t)0x251795f3, (q31_t)0x742f0836, (q31_t)0x250d57a0,
+    (q31_t)0x74364da6, (q31_t)0x250317df, (q31_t)0x743d9112, (q31_t)0x24f8d6b0,
+    (q31_t)0x7444d27b, (q31_t)0x24ee9415, (q31_t)0x744c11e0, (q31_t)0x24e4500e,
+    (q31_t)0x74534f41, (q31_t)0x24da0a9a, (q31_t)0x745a8a9d, (q31_t)0x24cfc3ba,
+    (q31_t)0x7461c3f5, (q31_t)0x24c57b6f, (q31_t)0x7468fb47, (q31_t)0x24bb31ba,
+    (q31_t)0x74703095, (q31_t)0x24b0e699, (q31_t)0x747763dd, (q31_t)0x24a69a0f,
+    (q31_t)0x747e951f, (q31_t)0x249c4c1b, (q31_t)0x7485c45b, (q31_t)0x2491fcbe,
+    (q31_t)0x748cf190, (q31_t)0x2487abf7, (q31_t)0x74941cbf, (q31_t)0x247d59c8,
+    (q31_t)0x749b45e7, (q31_t)0x24730631, (q31_t)0x74a26d08, (q31_t)0x2468b132,
+    (q31_t)0x74a99221, (q31_t)0x245e5acc, (q31_t)0x74b0b533, (q31_t)0x245402ff,
+    (q31_t)0x74b7d63c, (q31_t)0x2449a9cc, (q31_t)0x74bef53d, (q31_t)0x243f4f32,
+    (q31_t)0x74c61236, (q31_t)0x2434f332, (q31_t)0x74cd2d26, (q31_t)0x242a95ce,
+    (q31_t)0x74d4460c, (q31_t)0x24203704, (q31_t)0x74db5cea, (q31_t)0x2415d6d5,
+    (q31_t)0x74e271bd, (q31_t)0x240b7543, (q31_t)0x74e98487, (q31_t)0x2401124d,
+    (q31_t)0x74f09546, (q31_t)0x23f6adf3, (q31_t)0x74f7a3fb, (q31_t)0x23ec4837,
+    (q31_t)0x74feb0a5, (q31_t)0x23e1e117, (q31_t)0x7505bb44, (q31_t)0x23d77896,
+    (q31_t)0x750cc3d8, (q31_t)0x23cd0eb3, (q31_t)0x7513ca60, (q31_t)0x23c2a36f,
+    (q31_t)0x751acedd, (q31_t)0x23b836ca, (q31_t)0x7521d14d, (q31_t)0x23adc8c4,
+    (q31_t)0x7528d1b1, (q31_t)0x23a3595e, (q31_t)0x752fd008, (q31_t)0x2398e898,
+    (q31_t)0x7536cc52, (q31_t)0x238e7673, (q31_t)0x753dc68f, (q31_t)0x238402ef,
+    (q31_t)0x7544bebf, (q31_t)0x23798e0d, (q31_t)0x754bb4e1, (q31_t)0x236f17cc,
+    (q31_t)0x7552a8f4, (q31_t)0x2364a02e, (q31_t)0x75599afa, (q31_t)0x235a2733,
+    (q31_t)0x75608af1, (q31_t)0x234facda, (q31_t)0x756778d9, (q31_t)0x23453125,
+    (q31_t)0x756e64b2, (q31_t)0x233ab414, (q31_t)0x75754e7c, (q31_t)0x233035a7,
+    (q31_t)0x757c3636, (q31_t)0x2325b5df, (q31_t)0x75831be0, (q31_t)0x231b34bc,
+    (q31_t)0x7589ff7a, (q31_t)0x2310b23e, (q31_t)0x7590e104, (q31_t)0x23062e67,
+    (q31_t)0x7597c07d, (q31_t)0x22fba936, (q31_t)0x759e9de5, (q31_t)0x22f122ab,
+    (q31_t)0x75a5793c, (q31_t)0x22e69ac8, (q31_t)0x75ac5282, (q31_t)0x22dc118c,
+    (q31_t)0x75b329b5, (q31_t)0x22d186f8, (q31_t)0x75b9fed7, (q31_t)0x22c6fb0c,
+    (q31_t)0x75c0d1e7, (q31_t)0x22bc6dca, (q31_t)0x75c7a2e3, (q31_t)0x22b1df30,
+    (q31_t)0x75ce71ce, (q31_t)0x22a74f40, (q31_t)0x75d53ea5, (q31_t)0x229cbdfa,
+    (q31_t)0x75dc0968, (q31_t)0x22922b5e, (q31_t)0x75e2d219, (q31_t)0x2287976e,
+    (q31_t)0x75e998b5, (q31_t)0x227d0228, (q31_t)0x75f05d3d, (q31_t)0x22726b8e,
+    (q31_t)0x75f71fb1, (q31_t)0x2267d3a0, (q31_t)0x75fde011, (q31_t)0x225d3a5e,
+    (q31_t)0x76049e5b, (q31_t)0x22529fca, (q31_t)0x760b5a90, (q31_t)0x224803e2,
+    (q31_t)0x761214b0, (q31_t)0x223d66a8, (q31_t)0x7618ccba, (q31_t)0x2232c81c,
+    (q31_t)0x761f82af, (q31_t)0x2228283f, (q31_t)0x7626368d, (q31_t)0x221d8711,
+    (q31_t)0x762ce855, (q31_t)0x2212e492, (q31_t)0x76339806, (q31_t)0x220840c2,
+    (q31_t)0x763a45a0, (q31_t)0x21fd9ba3, (q31_t)0x7640f123, (q31_t)0x21f2f534,
+    (q31_t)0x76479a8e, (q31_t)0x21e84d76, (q31_t)0x764e41e2, (q31_t)0x21dda46a,
+    (q31_t)0x7654e71d, (q31_t)0x21d2fa0f, (q31_t)0x765b8a41, (q31_t)0x21c84e67,
+    (q31_t)0x76622b4c, (q31_t)0x21bda171, (q31_t)0x7668ca3e, (q31_t)0x21b2f32e,
+    (q31_t)0x766f6717, (q31_t)0x21a8439e, (q31_t)0x767601d7, (q31_t)0x219d92c2,
+    (q31_t)0x767c9a7e, (q31_t)0x2192e09b, (q31_t)0x7683310b, (q31_t)0x21882d28,
+    (q31_t)0x7689c57d, (q31_t)0x217d786a, (q31_t)0x769057d6, (q31_t)0x2172c262,
+    (q31_t)0x7696e814, (q31_t)0x21680b0f, (q31_t)0x769d7637, (q31_t)0x215d5273,
+    (q31_t)0x76a4023f, (q31_t)0x2152988d, (q31_t)0x76aa8c2c, (q31_t)0x2147dd5f,
+    (q31_t)0x76b113fd, (q31_t)0x213d20e8, (q31_t)0x76b799b3, (q31_t)0x21326329,
+    (q31_t)0x76be1d4c, (q31_t)0x2127a423, (q31_t)0x76c49ec9, (q31_t)0x211ce3d5,
+    (q31_t)0x76cb1e2a, (q31_t)0x21122240, (q31_t)0x76d19b6e, (q31_t)0x21075f65,
+    (q31_t)0x76d81695, (q31_t)0x20fc9b44, (q31_t)0x76de8f9e, (q31_t)0x20f1d5de,
+    (q31_t)0x76e5068a, (q31_t)0x20e70f32, (q31_t)0x76eb7b58, (q31_t)0x20dc4742,
+    (q31_t)0x76f1ee09, (q31_t)0x20d17e0d, (q31_t)0x76f85e9a, (q31_t)0x20c6b395,
+    (q31_t)0x76fecd0e, (q31_t)0x20bbe7d8, (q31_t)0x77053962, (q31_t)0x20b11ad9,
+    (q31_t)0x770ba398, (q31_t)0x20a64c97, (q31_t)0x77120bae, (q31_t)0x209b7d13,
+    (q31_t)0x771871a5, (q31_t)0x2090ac4d, (q31_t)0x771ed57c, (q31_t)0x2085da46,
+    (q31_t)0x77253733, (q31_t)0x207b06fe, (q31_t)0x772b96ca, (q31_t)0x20703275,
+    (q31_t)0x7731f440, (q31_t)0x20655cac, (q31_t)0x77384f95, (q31_t)0x205a85a3,
+    (q31_t)0x773ea8ca, (q31_t)0x204fad5b, (q31_t)0x7744ffdd, (q31_t)0x2044d3d4,
+    (q31_t)0x774b54ce, (q31_t)0x2039f90f, (q31_t)0x7751a79e, (q31_t)0x202f1d0b,
+    (q31_t)0x7757f84c, (q31_t)0x20243fca, (q31_t)0x775e46d8, (q31_t)0x2019614c,
+    (q31_t)0x77649341, (q31_t)0x200e8190, (q31_t)0x776add88, (q31_t)0x2003a099,
+    (q31_t)0x777125ac, (q31_t)0x1ff8be65, (q31_t)0x77776bac, (q31_t)0x1feddaf6,
+    (q31_t)0x777daf89, (q31_t)0x1fe2f64c, (q31_t)0x7783f143, (q31_t)0x1fd81067,
+    (q31_t)0x778a30d8, (q31_t)0x1fcd2948, (q31_t)0x77906e49, (q31_t)0x1fc240ef,
+    (q31_t)0x7796a996, (q31_t)0x1fb7575c, (q31_t)0x779ce2be, (q31_t)0x1fac6c91,
+    (q31_t)0x77a319c2, (q31_t)0x1fa1808c, (q31_t)0x77a94ea0, (q31_t)0x1f969350,
+    (q31_t)0x77af8159, (q31_t)0x1f8ba4dc, (q31_t)0x77b5b1ec, (q31_t)0x1f80b531,
+    (q31_t)0x77bbe05a, (q31_t)0x1f75c44e, (q31_t)0x77c20ca1, (q31_t)0x1f6ad235,
+    (q31_t)0x77c836c2, (q31_t)0x1f5fdee6, (q31_t)0x77ce5ebd, (q31_t)0x1f54ea62,
+    (q31_t)0x77d48490, (q31_t)0x1f49f4a8, (q31_t)0x77daa83d, (q31_t)0x1f3efdb9,
+    (q31_t)0x77e0c9c3, (q31_t)0x1f340596, (q31_t)0x77e6e921, (q31_t)0x1f290c3f,
+    (q31_t)0x77ed0657, (q31_t)0x1f1e11b5, (q31_t)0x77f32165, (q31_t)0x1f1315f7,
+    (q31_t)0x77f93a4b, (q31_t)0x1f081907, (q31_t)0x77ff5109, (q31_t)0x1efd1ae4,
+    (q31_t)0x7805659e, (q31_t)0x1ef21b90, (q31_t)0x780b780a, (q31_t)0x1ee71b0a,
+    (q31_t)0x7811884d, (q31_t)0x1edc1953, (q31_t)0x78179666, (q31_t)0x1ed1166b,
+    (q31_t)0x781da256, (q31_t)0x1ec61254, (q31_t)0x7823ac1d, (q31_t)0x1ebb0d0d,
+    (q31_t)0x7829b3b9, (q31_t)0x1eb00696, (q31_t)0x782fb92a, (q31_t)0x1ea4fef0,
+    (q31_t)0x7835bc71, (q31_t)0x1e99f61d, (q31_t)0x783bbd8e, (q31_t)0x1e8eec1b,
+    (q31_t)0x7841bc7f, (q31_t)0x1e83e0eb, (q31_t)0x7847b946, (q31_t)0x1e78d48e,
+    (q31_t)0x784db3e0, (q31_t)0x1e6dc705, (q31_t)0x7853ac4f, (q31_t)0x1e62b84f,
+    (q31_t)0x7859a292, (q31_t)0x1e57a86d, (q31_t)0x785f96a9, (q31_t)0x1e4c9760,
+    (q31_t)0x78658894, (q31_t)0x1e418528, (q31_t)0x786b7852, (q31_t)0x1e3671c5,
+    (q31_t)0x787165e3, (q31_t)0x1e2b5d38, (q31_t)0x78775147, (q31_t)0x1e204781,
+    (q31_t)0x787d3a7e, (q31_t)0x1e1530a1, (q31_t)0x78832187, (q31_t)0x1e0a1898,
+    (q31_t)0x78890663, (q31_t)0x1dfeff67, (q31_t)0x788ee910, (q31_t)0x1df3e50d,
+    (q31_t)0x7894c98f, (q31_t)0x1de8c98c, (q31_t)0x789aa7e0, (q31_t)0x1dddace4,
+    (q31_t)0x78a08402, (q31_t)0x1dd28f15, (q31_t)0x78a65df6, (q31_t)0x1dc7701f,
+    (q31_t)0x78ac35ba, (q31_t)0x1dbc5004, (q31_t)0x78b20b4f, (q31_t)0x1db12ec3,
+    (q31_t)0x78b7deb4, (q31_t)0x1da60c5d, (q31_t)0x78bdafea, (q31_t)0x1d9ae8d2,
+    (q31_t)0x78c37eef, (q31_t)0x1d8fc424, (q31_t)0x78c94bc4, (q31_t)0x1d849e51,
+    (q31_t)0x78cf1669, (q31_t)0x1d79775c, (q31_t)0x78d4dedd, (q31_t)0x1d6e4f43,
+    (q31_t)0x78daa520, (q31_t)0x1d632608, (q31_t)0x78e06932, (q31_t)0x1d57fbaa,
+    (q31_t)0x78e62b13, (q31_t)0x1d4cd02c, (q31_t)0x78ebeac2, (q31_t)0x1d41a38c,
+    (q31_t)0x78f1a840, (q31_t)0x1d3675cb, (q31_t)0x78f7638b, (q31_t)0x1d2b46ea,
+    (q31_t)0x78fd1ca4, (q31_t)0x1d2016e9, (q31_t)0x7902d38b, (q31_t)0x1d14e5c9,
+    (q31_t)0x7908883f, (q31_t)0x1d09b389, (q31_t)0x790e3ac0, (q31_t)0x1cfe802b,
+    (q31_t)0x7913eb0e, (q31_t)0x1cf34baf, (q31_t)0x79199929, (q31_t)0x1ce81615,
+    (q31_t)0x791f4510, (q31_t)0x1cdcdf5e, (q31_t)0x7924eec3, (q31_t)0x1cd1a78a,
+    (q31_t)0x792a9642, (q31_t)0x1cc66e99, (q31_t)0x79303b8e, (q31_t)0x1cbb348d,
+    (q31_t)0x7935dea4, (q31_t)0x1caff965, (q31_t)0x793b7f86, (q31_t)0x1ca4bd21,
+    (q31_t)0x79411e33, (q31_t)0x1c997fc4, (q31_t)0x7946baac, (q31_t)0x1c8e414b,
+    (q31_t)0x794c54ee, (q31_t)0x1c8301b9, (q31_t)0x7951ecfc, (q31_t)0x1c77c10e,
+    (q31_t)0x795782d3, (q31_t)0x1c6c7f4a, (q31_t)0x795d1675, (q31_t)0x1c613c6d,
+    (q31_t)0x7962a7e0, (q31_t)0x1c55f878, (q31_t)0x79683715, (q31_t)0x1c4ab36b,
+    (q31_t)0x796dc414, (q31_t)0x1c3f6d47, (q31_t)0x79734edc, (q31_t)0x1c34260c,
+    (q31_t)0x7978d76c, (q31_t)0x1c28ddbb, (q31_t)0x797e5dc6, (q31_t)0x1c1d9454,
+    (q31_t)0x7983e1e8, (q31_t)0x1c1249d8, (q31_t)0x798963d2, (q31_t)0x1c06fe46,
+    (q31_t)0x798ee385, (q31_t)0x1bfbb1a0, (q31_t)0x799460ff, (q31_t)0x1bf063e6,
+    (q31_t)0x7999dc42, (q31_t)0x1be51518, (q31_t)0x799f554b, (q31_t)0x1bd9c537,
+    (q31_t)0x79a4cc1c, (q31_t)0x1bce7442, (q31_t)0x79aa40b4, (q31_t)0x1bc3223c,
+    (q31_t)0x79afb313, (q31_t)0x1bb7cf23, (q31_t)0x79b52339, (q31_t)0x1bac7af9,
+    (q31_t)0x79ba9125, (q31_t)0x1ba125bd, (q31_t)0x79bffcd7, (q31_t)0x1b95cf71,
+    (q31_t)0x79c5664f, (q31_t)0x1b8a7815, (q31_t)0x79cacd8d, (q31_t)0x1b7f1fa9,
+    (q31_t)0x79d03291, (q31_t)0x1b73c62d, (q31_t)0x79d5955a, (q31_t)0x1b686ba3,
+    (q31_t)0x79daf5e8, (q31_t)0x1b5d100a, (q31_t)0x79e0543c, (q31_t)0x1b51b363,
+    (q31_t)0x79e5b054, (q31_t)0x1b4655ae, (q31_t)0x79eb0a31, (q31_t)0x1b3af6ec,
+    (q31_t)0x79f061d2, (q31_t)0x1b2f971e, (q31_t)0x79f5b737, (q31_t)0x1b243643,
+    (q31_t)0x79fb0a60, (q31_t)0x1b18d45c, (q31_t)0x7a005b4d, (q31_t)0x1b0d716a,
+    (q31_t)0x7a05a9fd, (q31_t)0x1b020d6c, (q31_t)0x7a0af671, (q31_t)0x1af6a865,
+    (q31_t)0x7a1040a8, (q31_t)0x1aeb4253, (q31_t)0x7a1588a2, (q31_t)0x1adfdb37,
+    (q31_t)0x7a1ace5f, (q31_t)0x1ad47312, (q31_t)0x7a2011de, (q31_t)0x1ac909e5,
+    (q31_t)0x7a25531f, (q31_t)0x1abd9faf, (q31_t)0x7a2a9223, (q31_t)0x1ab23471,
+    (q31_t)0x7a2fcee8, (q31_t)0x1aa6c82b, (q31_t)0x7a350970, (q31_t)0x1a9b5adf,
+    (q31_t)0x7a3a41b9, (q31_t)0x1a8fec8c, (q31_t)0x7a3f77c3, (q31_t)0x1a847d33,
+    (q31_t)0x7a44ab8e, (q31_t)0x1a790cd4, (q31_t)0x7a49dd1a, (q31_t)0x1a6d9b70,
+    (q31_t)0x7a4f0c67, (q31_t)0x1a622907, (q31_t)0x7a543974, (q31_t)0x1a56b599,
+    (q31_t)0x7a596442, (q31_t)0x1a4b4128, (q31_t)0x7a5e8cd0, (q31_t)0x1a3fcbb3,
+    (q31_t)0x7a63b31d, (q31_t)0x1a34553b, (q31_t)0x7a68d72b, (q31_t)0x1a28ddc0,
+    (q31_t)0x7a6df8f8, (q31_t)0x1a1d6544, (q31_t)0x7a731884, (q31_t)0x1a11ebc5,
+    (q31_t)0x7a7835cf, (q31_t)0x1a067145, (q31_t)0x7a7d50da, (q31_t)0x19faf5c5,
+    (q31_t)0x7a8269a3, (q31_t)0x19ef7944, (q31_t)0x7a87802a, (q31_t)0x19e3fbc3,
+    (q31_t)0x7a8c9470, (q31_t)0x19d87d42, (q31_t)0x7a91a674, (q31_t)0x19ccfdc2,
+    (q31_t)0x7a96b636, (q31_t)0x19c17d44, (q31_t)0x7a9bc3b6, (q31_t)0x19b5fbc8,
+    (q31_t)0x7aa0cef3, (q31_t)0x19aa794d, (q31_t)0x7aa5d7ee, (q31_t)0x199ef5d6,
+    (q31_t)0x7aaadea6, (q31_t)0x19937161, (q31_t)0x7aafe31b, (q31_t)0x1987ebf0,
+    (q31_t)0x7ab4e54c, (q31_t)0x197c6584, (q31_t)0x7ab9e53a, (q31_t)0x1970de1b,
+    (q31_t)0x7abee2e5, (q31_t)0x196555b8, (q31_t)0x7ac3de4c, (q31_t)0x1959cc5a,
+    (q31_t)0x7ac8d76f, (q31_t)0x194e4201, (q31_t)0x7acdce4d, (q31_t)0x1942b6af,
+    (q31_t)0x7ad2c2e8, (q31_t)0x19372a64, (q31_t)0x7ad7b53d, (q31_t)0x192b9d1f,
+    (q31_t)0x7adca54e, (q31_t)0x19200ee3, (q31_t)0x7ae1931a, (q31_t)0x19147fae,
+    (q31_t)0x7ae67ea1, (q31_t)0x1908ef82, (q31_t)0x7aeb67e3, (q31_t)0x18fd5e5f,
+    (q31_t)0x7af04edf, (q31_t)0x18f1cc45, (q31_t)0x7af53395, (q31_t)0x18e63935,
+    (q31_t)0x7afa1605, (q31_t)0x18daa52f, (q31_t)0x7afef630, (q31_t)0x18cf1034,
+    (q31_t)0x7b03d414, (q31_t)0x18c37a44, (q31_t)0x7b08afb2, (q31_t)0x18b7e35f,
+    (q31_t)0x7b0d8909, (q31_t)0x18ac4b87, (q31_t)0x7b126019, (q31_t)0x18a0b2bb,
+    (q31_t)0x7b1734e2, (q31_t)0x189518fc, (q31_t)0x7b1c0764, (q31_t)0x18897e4a,
+    (q31_t)0x7b20d79e, (q31_t)0x187de2a7, (q31_t)0x7b25a591, (q31_t)0x18724611,
+    (q31_t)0x7b2a713d, (q31_t)0x1866a88a, (q31_t)0x7b2f3aa0, (q31_t)0x185b0a13,
+    (q31_t)0x7b3401bb, (q31_t)0x184f6aab, (q31_t)0x7b38c68e, (q31_t)0x1843ca53,
+    (q31_t)0x7b3d8918, (q31_t)0x1838290c, (q31_t)0x7b42495a, (q31_t)0x182c86d5,
+    (q31_t)0x7b470753, (q31_t)0x1820e3b0, (q31_t)0x7b4bc303, (q31_t)0x18153f9d,
+    (q31_t)0x7b507c69, (q31_t)0x18099a9c, (q31_t)0x7b553386, (q31_t)0x17fdf4ae,
+    (q31_t)0x7b59e85a, (q31_t)0x17f24dd3, (q31_t)0x7b5e9ae4, (q31_t)0x17e6a60c,
+    (q31_t)0x7b634b23, (q31_t)0x17dafd59, (q31_t)0x7b67f919, (q31_t)0x17cf53bb,
+    (q31_t)0x7b6ca4c4, (q31_t)0x17c3a931, (q31_t)0x7b714e25, (q31_t)0x17b7fdbd,
+    (q31_t)0x7b75f53c, (q31_t)0x17ac515f, (q31_t)0x7b7a9a07, (q31_t)0x17a0a417,
+    (q31_t)0x7b7f3c87, (q31_t)0x1794f5e6, (q31_t)0x7b83dcbc, (q31_t)0x178946cc,
+    (q31_t)0x7b887aa6, (q31_t)0x177d96ca, (q31_t)0x7b8d1644, (q31_t)0x1771e5e0,
+    (q31_t)0x7b91af97, (q31_t)0x1766340f, (q31_t)0x7b96469d, (q31_t)0x175a8157,
+    (q31_t)0x7b9adb57, (q31_t)0x174ecdb8, (q31_t)0x7b9f6dc5, (q31_t)0x17431933,
+    (q31_t)0x7ba3fde7, (q31_t)0x173763c9, (q31_t)0x7ba88bbc, (q31_t)0x172bad7a,
+    (q31_t)0x7bad1744, (q31_t)0x171ff646, (q31_t)0x7bb1a080, (q31_t)0x17143e2d,
+    (q31_t)0x7bb6276e, (q31_t)0x17088531, (q31_t)0x7bbaac0e, (q31_t)0x16fccb51,
+    (q31_t)0x7bbf2e62, (q31_t)0x16f1108f, (q31_t)0x7bc3ae67, (q31_t)0x16e554ea,
+    (q31_t)0x7bc82c1f, (q31_t)0x16d99864, (q31_t)0x7bcca789, (q31_t)0x16cddafb,
+    (q31_t)0x7bd120a4, (q31_t)0x16c21cb2, (q31_t)0x7bd59771, (q31_t)0x16b65d88,
+    (q31_t)0x7bda0bf0, (q31_t)0x16aa9d7e, (q31_t)0x7bde7e20, (q31_t)0x169edc94,
+    (q31_t)0x7be2ee01, (q31_t)0x16931acb, (q31_t)0x7be75b93, (q31_t)0x16875823,
+    (q31_t)0x7bebc6d5, (q31_t)0x167b949d, (q31_t)0x7bf02fc9, (q31_t)0x166fd039,
+    (q31_t)0x7bf4966c, (q31_t)0x16640af7, (q31_t)0x7bf8fac0, (q31_t)0x165844d8,
+    (q31_t)0x7bfd5cc4, (q31_t)0x164c7ddd, (q31_t)0x7c01bc78, (q31_t)0x1640b606,
+    (q31_t)0x7c0619dc, (q31_t)0x1634ed53, (q31_t)0x7c0a74f0, (q31_t)0x162923c5,
+    (q31_t)0x7c0ecdb2, (q31_t)0x161d595d, (q31_t)0x7c132424, (q31_t)0x16118e1a,
+    (q31_t)0x7c177845, (q31_t)0x1605c1fd, (q31_t)0x7c1bca16, (q31_t)0x15f9f507,
+    (q31_t)0x7c201994, (q31_t)0x15ee2738, (q31_t)0x7c2466c2, (q31_t)0x15e25890,
+    (q31_t)0x7c28b19e, (q31_t)0x15d68911, (q31_t)0x7c2cfa28, (q31_t)0x15cab8ba,
+    (q31_t)0x7c314060, (q31_t)0x15bee78c, (q31_t)0x7c358446, (q31_t)0x15b31587,
+    (q31_t)0x7c39c5da, (q31_t)0x15a742ac, (q31_t)0x7c3e051b, (q31_t)0x159b6efb,
+    (q31_t)0x7c42420a, (q31_t)0x158f9a76, (q31_t)0x7c467ca6, (q31_t)0x1583c51b,
+    (q31_t)0x7c4ab4ef, (q31_t)0x1577eeec, (q31_t)0x7c4eeae5, (q31_t)0x156c17e9,
+    (q31_t)0x7c531e88, (q31_t)0x15604013, (q31_t)0x7c574fd8, (q31_t)0x1554676a,
+    (q31_t)0x7c5b7ed4, (q31_t)0x15488dee, (q31_t)0x7c5fab7c, (q31_t)0x153cb3a0,
+    (q31_t)0x7c63d5d1, (q31_t)0x1530d881, (q31_t)0x7c67fdd1, (q31_t)0x1524fc90,
+    (q31_t)0x7c6c237e, (q31_t)0x15191fcf, (q31_t)0x7c7046d6, (q31_t)0x150d423d,
+    (q31_t)0x7c7467d9, (q31_t)0x150163dc, (q31_t)0x7c788688, (q31_t)0x14f584ac,
+    (q31_t)0x7c7ca2e2, (q31_t)0x14e9a4ac, (q31_t)0x7c80bce7, (q31_t)0x14ddc3de,
+    (q31_t)0x7c84d496, (q31_t)0x14d1e242, (q31_t)0x7c88e9f1, (q31_t)0x14c5ffd9,
+    (q31_t)0x7c8cfcf6, (q31_t)0x14ba1ca3, (q31_t)0x7c910da5, (q31_t)0x14ae38a0,
+    (q31_t)0x7c951bff, (q31_t)0x14a253d1, (q31_t)0x7c992803, (q31_t)0x14966e36,
+    (q31_t)0x7c9d31b0, (q31_t)0x148a87d1, (q31_t)0x7ca13908, (q31_t)0x147ea0a0,
+    (q31_t)0x7ca53e09, (q31_t)0x1472b8a5, (q31_t)0x7ca940b3, (q31_t)0x1466cfe1,
+    (q31_t)0x7cad4107, (q31_t)0x145ae653, (q31_t)0x7cb13f04, (q31_t)0x144efbfc,
+    (q31_t)0x7cb53aaa, (q31_t)0x144310dd, (q31_t)0x7cb933f9, (q31_t)0x143724f5,
+    (q31_t)0x7cbd2af0, (q31_t)0x142b3846, (q31_t)0x7cc11f90, (q31_t)0x141f4ad1,
+    (q31_t)0x7cc511d9, (q31_t)0x14135c94, (q31_t)0x7cc901c9, (q31_t)0x14076d91,
+    (q31_t)0x7cccef62, (q31_t)0x13fb7dc9, (q31_t)0x7cd0daa2, (q31_t)0x13ef8d3c,
+    (q31_t)0x7cd4c38b, (q31_t)0x13e39be9, (q31_t)0x7cd8aa1b, (q31_t)0x13d7a9d3,
+    (q31_t)0x7cdc8e52, (q31_t)0x13cbb6f8, (q31_t)0x7ce07031, (q31_t)0x13bfc35b,
+    (q31_t)0x7ce44fb7, (q31_t)0x13b3cefa, (q31_t)0x7ce82ce4, (q31_t)0x13a7d9d7,
+    (q31_t)0x7cec07b8, (q31_t)0x139be3f2, (q31_t)0x7cefe032, (q31_t)0x138fed4b,
+    (q31_t)0x7cf3b653, (q31_t)0x1383f5e3, (q31_t)0x7cf78a1b, (q31_t)0x1377fdbb,
+    (q31_t)0x7cfb5b89, (q31_t)0x136c04d2, (q31_t)0x7cff2a9d, (q31_t)0x13600b2a,
+    (q31_t)0x7d02f757, (q31_t)0x135410c3, (q31_t)0x7d06c1b6, (q31_t)0x1348159d,
+    (q31_t)0x7d0a89bc, (q31_t)0x133c19b8, (q31_t)0x7d0e4f67, (q31_t)0x13301d16,
+    (q31_t)0x7d1212b7, (q31_t)0x13241fb6, (q31_t)0x7d15d3ad, (q31_t)0x1318219a,
+    (q31_t)0x7d199248, (q31_t)0x130c22c1, (q31_t)0x7d1d4e88, (q31_t)0x1300232c,
+    (q31_t)0x7d21086c, (q31_t)0x12f422db, (q31_t)0x7d24bff6, (q31_t)0x12e821cf,
+    (q31_t)0x7d287523, (q31_t)0x12dc2009, (q31_t)0x7d2c27f6, (q31_t)0x12d01d89,
+    (q31_t)0x7d2fd86c, (q31_t)0x12c41a4f, (q31_t)0x7d338687, (q31_t)0x12b8165b,
+    (q31_t)0x7d373245, (q31_t)0x12ac11af, (q31_t)0x7d3adba7, (q31_t)0x12a00c4b,
+    (q31_t)0x7d3e82ae, (q31_t)0x1294062f, (q31_t)0x7d422757, (q31_t)0x1287ff5b,
+    (q31_t)0x7d45c9a4, (q31_t)0x127bf7d1, (q31_t)0x7d496994, (q31_t)0x126fef90,
+    (q31_t)0x7d4d0728, (q31_t)0x1263e699, (q31_t)0x7d50a25e, (q31_t)0x1257dced,
+    (q31_t)0x7d543b37, (q31_t)0x124bd28c, (q31_t)0x7d57d1b3, (q31_t)0x123fc776,
+    (q31_t)0x7d5b65d2, (q31_t)0x1233bbac, (q31_t)0x7d5ef793, (q31_t)0x1227af2e,
+    (q31_t)0x7d6286f6, (q31_t)0x121ba1fd, (q31_t)0x7d6613fb, (q31_t)0x120f941a,
+    (q31_t)0x7d699ea3, (q31_t)0x12038584, (q31_t)0x7d6d26ec, (q31_t)0x11f7763c,
+    (q31_t)0x7d70acd7, (q31_t)0x11eb6643, (q31_t)0x7d743064, (q31_t)0x11df5599,
+    (q31_t)0x7d77b192, (q31_t)0x11d3443f, (q31_t)0x7d7b3061, (q31_t)0x11c73235,
+    (q31_t)0x7d7eacd2, (q31_t)0x11bb1f7c, (q31_t)0x7d8226e4, (q31_t)0x11af0c13,
+    (q31_t)0x7d859e96, (q31_t)0x11a2f7fc, (q31_t)0x7d8913ea, (q31_t)0x1196e337,
+    (q31_t)0x7d8c86de, (q31_t)0x118acdc4, (q31_t)0x7d8ff772, (q31_t)0x117eb7a4,
+    (q31_t)0x7d9365a8, (q31_t)0x1172a0d7, (q31_t)0x7d96d17d, (q31_t)0x1166895f,
+    (q31_t)0x7d9a3af2, (q31_t)0x115a713a, (q31_t)0x7d9da208, (q31_t)0x114e586a,
+    (q31_t)0x7da106bd, (q31_t)0x11423ef0, (q31_t)0x7da46912, (q31_t)0x113624cb,
+    (q31_t)0x7da7c907, (q31_t)0x112a09fc, (q31_t)0x7dab269b, (q31_t)0x111dee84,
+    (q31_t)0x7dae81cf, (q31_t)0x1111d263, (q31_t)0x7db1daa2, (q31_t)0x1105b599,
+    (q31_t)0x7db53113, (q31_t)0x10f99827, (q31_t)0x7db88524, (q31_t)0x10ed7a0e,
+    (q31_t)0x7dbbd6d4, (q31_t)0x10e15b4e, (q31_t)0x7dbf2622, (q31_t)0x10d53be7,
+    (q31_t)0x7dc2730f, (q31_t)0x10c91bda, (q31_t)0x7dc5bd9b, (q31_t)0x10bcfb28,
+    (q31_t)0x7dc905c5, (q31_t)0x10b0d9d0, (q31_t)0x7dcc4b8d, (q31_t)0x10a4b7d3,
+    (q31_t)0x7dcf8ef3, (q31_t)0x10989532, (q31_t)0x7dd2cff7, (q31_t)0x108c71ee,
+    (q31_t)0x7dd60e99, (q31_t)0x10804e06, (q31_t)0x7dd94ad8, (q31_t)0x1074297b,
+    (q31_t)0x7ddc84b5, (q31_t)0x1068044e, (q31_t)0x7ddfbc30, (q31_t)0x105bde7f,
+    (q31_t)0x7de2f148, (q31_t)0x104fb80e, (q31_t)0x7de623fd, (q31_t)0x104390fd,
+    (q31_t)0x7de9544f, (q31_t)0x1037694b, (q31_t)0x7dec823e, (q31_t)0x102b40f8,
+    (q31_t)0x7defadca, (q31_t)0x101f1807, (q31_t)0x7df2d6f3, (q31_t)0x1012ee76,
+    (q31_t)0x7df5fdb8, (q31_t)0x1006c446, (q31_t)0x7df9221a, (q31_t)0xffa9979,
+    (q31_t)0x7dfc4418, (q31_t)0xfee6e0d, (q31_t)0x7dff63b2, (q31_t)0xfe24205,
+    (q31_t)0x7e0280e9, (q31_t)0xfd6155f, (q31_t)0x7e059bbb, (q31_t)0xfc9e81e,
+    (q31_t)0x7e08b42a, (q31_t)0xfbdba40, (q31_t)0x7e0bca34, (q31_t)0xfb18bc8,
+    (q31_t)0x7e0eddd9, (q31_t)0xfa55cb4, (q31_t)0x7e11ef1b, (q31_t)0xf992d06,
+    (q31_t)0x7e14fdf7, (q31_t)0xf8cfcbe, (q31_t)0x7e180a6f, (q31_t)0xf80cbdc,
+    (q31_t)0x7e1b1482, (q31_t)0xf749a61, (q31_t)0x7e1e1c30, (q31_t)0xf68684e,
+    (q31_t)0x7e212179, (q31_t)0xf5c35a3, (q31_t)0x7e24245d, (q31_t)0xf500260,
+    (q31_t)0x7e2724db, (q31_t)0xf43ce86, (q31_t)0x7e2a22f4, (q31_t)0xf379a16,
+    (q31_t)0x7e2d1ea8, (q31_t)0xf2b650f, (q31_t)0x7e3017f6, (q31_t)0xf1f2f73,
+    (q31_t)0x7e330ede, (q31_t)0xf12f941, (q31_t)0x7e360360, (q31_t)0xf06c27a,
+    (q31_t)0x7e38f57c, (q31_t)0xefa8b20, (q31_t)0x7e3be532, (q31_t)0xeee5331,
+    (q31_t)0x7e3ed282, (q31_t)0xee21aaf, (q31_t)0x7e41bd6c, (q31_t)0xed5e19a,
+    (q31_t)0x7e44a5ef, (q31_t)0xec9a7f3, (q31_t)0x7e478c0b, (q31_t)0xebd6db9,
+    (q31_t)0x7e4a6fc1, (q31_t)0xeb132ef, (q31_t)0x7e4d5110, (q31_t)0xea4f793,
+    (q31_t)0x7e502ff9, (q31_t)0xe98bba7, (q31_t)0x7e530c7a, (q31_t)0xe8c7f2a,
+    (q31_t)0x7e55e694, (q31_t)0xe80421e, (q31_t)0x7e58be47, (q31_t)0xe740483,
+    (q31_t)0x7e5b9392, (q31_t)0xe67c65a, (q31_t)0x7e5e6676, (q31_t)0xe5b87a2,
+    (q31_t)0x7e6136f3, (q31_t)0xe4f485c, (q31_t)0x7e640507, (q31_t)0xe430889,
+    (q31_t)0x7e66d0b4, (q31_t)0xe36c82a, (q31_t)0x7e6999fa, (q31_t)0xe2a873e,
+    (q31_t)0x7e6c60d7, (q31_t)0xe1e45c6, (q31_t)0x7e6f254c, (q31_t)0xe1203c3,
+    (q31_t)0x7e71e759, (q31_t)0xe05c135, (q31_t)0x7e74a6fd, (q31_t)0xdf97e1d,
+    (q31_t)0x7e77643a, (q31_t)0xded3a7b, (q31_t)0x7e7a1f0d, (q31_t)0xde0f64f,
+    (q31_t)0x7e7cd778, (q31_t)0xdd4b19a, (q31_t)0x7e7f8d7b, (q31_t)0xdc86c5d,
+    (q31_t)0x7e824114, (q31_t)0xdbc2698, (q31_t)0x7e84f245, (q31_t)0xdafe04b,
+    (q31_t)0x7e87a10c, (q31_t)0xda39978, (q31_t)0x7e8a4d6a, (q31_t)0xd97521d,
+    (q31_t)0x7e8cf75f, (q31_t)0xd8b0a3d, (q31_t)0x7e8f9eeb, (q31_t)0xd7ec1d6,
+    (q31_t)0x7e92440d, (q31_t)0xd7278eb, (q31_t)0x7e94e6c6, (q31_t)0xd662f7b,
+    (q31_t)0x7e978715, (q31_t)0xd59e586, (q31_t)0x7e9a24fb, (q31_t)0xd4d9b0e,
+    (q31_t)0x7e9cc076, (q31_t)0xd415013, (q31_t)0x7e9f5988, (q31_t)0xd350495,
+    (q31_t)0x7ea1f02f, (q31_t)0xd28b894, (q31_t)0x7ea4846c, (q31_t)0xd1c6c11,
+    (q31_t)0x7ea7163f, (q31_t)0xd101f0e, (q31_t)0x7ea9a5a8, (q31_t)0xd03d189,
+    (q31_t)0x7eac32a6, (q31_t)0xcf78383, (q31_t)0x7eaebd3a, (q31_t)0xceb34fe,
+    (q31_t)0x7eb14563, (q31_t)0xcdee5f9, (q31_t)0x7eb3cb21, (q31_t)0xcd29676,
+    (q31_t)0x7eb64e75, (q31_t)0xcc64673, (q31_t)0x7eb8cf5d, (q31_t)0xcb9f5f3,
+    (q31_t)0x7ebb4ddb, (q31_t)0xcada4f5, (q31_t)0x7ebdc9ed, (q31_t)0xca1537a,
+    (q31_t)0x7ec04394, (q31_t)0xc950182, (q31_t)0x7ec2bad0, (q31_t)0xc88af0e,
+    (q31_t)0x7ec52fa0, (q31_t)0xc7c5c1e, (q31_t)0x7ec7a205, (q31_t)0xc7008b3,
+    (q31_t)0x7eca11fe, (q31_t)0xc63b4ce, (q31_t)0x7ecc7f8b, (q31_t)0xc57606e,
+    (q31_t)0x7eceeaad, (q31_t)0xc4b0b94, (q31_t)0x7ed15363, (q31_t)0xc3eb641,
+    (q31_t)0x7ed3b9ad, (q31_t)0xc326075, (q31_t)0x7ed61d8a, (q31_t)0xc260a31,
+    (q31_t)0x7ed87efc, (q31_t)0xc19b374, (q31_t)0x7edade01, (q31_t)0xc0d5c41,
+    (q31_t)0x7edd3a9a, (q31_t)0xc010496, (q31_t)0x7edf94c7, (q31_t)0xbf4ac75,
+    (q31_t)0x7ee1ec87, (q31_t)0xbe853de, (q31_t)0x7ee441da, (q31_t)0xbdbfad1,
+    (q31_t)0x7ee694c1, (q31_t)0xbcfa150, (q31_t)0x7ee8e53a, (q31_t)0xbc34759,
+    (q31_t)0x7eeb3347, (q31_t)0xbb6ecef, (q31_t)0x7eed7ee7, (q31_t)0xbaa9211,
+    (q31_t)0x7eefc81a, (q31_t)0xb9e36c0, (q31_t)0x7ef20ee0, (q31_t)0xb91dafc,
+    (q31_t)0x7ef45338, (q31_t)0xb857ec7, (q31_t)0x7ef69523, (q31_t)0xb79221f,
+    (q31_t)0x7ef8d4a1, (q31_t)0xb6cc506, (q31_t)0x7efb11b1, (q31_t)0xb60677c,
+    (q31_t)0x7efd4c54, (q31_t)0xb540982, (q31_t)0x7eff8489, (q31_t)0xb47ab19,
+    (q31_t)0x7f01ba50, (q31_t)0xb3b4c40, (q31_t)0x7f03eda9, (q31_t)0xb2eecf8,
+    (q31_t)0x7f061e95, (q31_t)0xb228d42, (q31_t)0x7f084d12, (q31_t)0xb162d1d,
+    (q31_t)0x7f0a7921, (q31_t)0xb09cc8c, (q31_t)0x7f0ca2c2, (q31_t)0xafd6b8d,
+    (q31_t)0x7f0ec9f5, (q31_t)0xaf10a22, (q31_t)0x7f10eeb9, (q31_t)0xae4a84b,
+    (q31_t)0x7f13110f, (q31_t)0xad84609, (q31_t)0x7f1530f7, (q31_t)0xacbe35b,
+    (q31_t)0x7f174e70, (q31_t)0xabf8043, (q31_t)0x7f19697a, (q31_t)0xab31cc1,
+    (q31_t)0x7f1b8215, (q31_t)0xaa6b8d5, (q31_t)0x7f1d9842, (q31_t)0xa9a5480,
+    (q31_t)0x7f1fabff, (q31_t)0xa8defc3, (q31_t)0x7f21bd4e, (q31_t)0xa818a9d,
+    (q31_t)0x7f23cc2e, (q31_t)0xa752510, (q31_t)0x7f25d89e, (q31_t)0xa68bf1b,
+    (q31_t)0x7f27e29f, (q31_t)0xa5c58c0, (q31_t)0x7f29ea31, (q31_t)0xa4ff1fe,
+    (q31_t)0x7f2bef53, (q31_t)0xa438ad7, (q31_t)0x7f2df206, (q31_t)0xa37234a,
+    (q31_t)0x7f2ff24a, (q31_t)0xa2abb59, (q31_t)0x7f31f01d, (q31_t)0xa1e5303,
+    (q31_t)0x7f33eb81, (q31_t)0xa11ea49, (q31_t)0x7f35e476, (q31_t)0xa05812c,
+    (q31_t)0x7f37dafa, (q31_t)0x9f917ac, (q31_t)0x7f39cf0e, (q31_t)0x9ecadc9,
+    (q31_t)0x7f3bc0b3, (q31_t)0x9e04385, (q31_t)0x7f3dafe7, (q31_t)0x9d3d8df,
+    (q31_t)0x7f3f9cab, (q31_t)0x9c76dd8, (q31_t)0x7f4186ff, (q31_t)0x9bb0271,
+    (q31_t)0x7f436ee3, (q31_t)0x9ae96aa, (q31_t)0x7f455456, (q31_t)0x9a22a83,
+    (q31_t)0x7f473759, (q31_t)0x995bdfd, (q31_t)0x7f4917eb, (q31_t)0x9895118,
+    (q31_t)0x7f4af60d, (q31_t)0x97ce3d5, (q31_t)0x7f4cd1be, (q31_t)0x9707635,
+    (q31_t)0x7f4eaafe, (q31_t)0x9640837, (q31_t)0x7f5081cd, (q31_t)0x95799dd,
+    (q31_t)0x7f52562c, (q31_t)0x94b2b27, (q31_t)0x7f54281a, (q31_t)0x93ebc14,
+    (q31_t)0x7f55f796, (q31_t)0x9324ca7, (q31_t)0x7f57c4a2, (q31_t)0x925dcdf,
+    (q31_t)0x7f598f3c, (q31_t)0x9196cbc, (q31_t)0x7f5b5765, (q31_t)0x90cfc40,
+    (q31_t)0x7f5d1d1d, (q31_t)0x9008b6a, (q31_t)0x7f5ee063, (q31_t)0x8f41a3c,
+    (q31_t)0x7f60a138, (q31_t)0x8e7a8b5, (q31_t)0x7f625f9b, (q31_t)0x8db36d6,
+    (q31_t)0x7f641b8d, (q31_t)0x8cec4a0, (q31_t)0x7f65d50d, (q31_t)0x8c25213,
+    (q31_t)0x7f678c1c, (q31_t)0x8b5df30, (q31_t)0x7f6940b8, (q31_t)0x8a96bf6,
+    (q31_t)0x7f6af2e3, (q31_t)0x89cf867, (q31_t)0x7f6ca29c, (q31_t)0x8908483,
+    (q31_t)0x7f6e4fe3, (q31_t)0x884104b, (q31_t)0x7f6ffab8, (q31_t)0x8779bbe,
+    (q31_t)0x7f71a31b, (q31_t)0x86b26de, (q31_t)0x7f73490b, (q31_t)0x85eb1ab,
+    (q31_t)0x7f74ec8a, (q31_t)0x8523c25, (q31_t)0x7f768d96, (q31_t)0x845c64d,
+    (q31_t)0x7f782c30, (q31_t)0x8395024, (q31_t)0x7f79c857, (q31_t)0x82cd9a9,
+    (q31_t)0x7f7b620c, (q31_t)0x82062de, (q31_t)0x7f7cf94e, (q31_t)0x813ebc2,
+    (q31_t)0x7f7e8e1e, (q31_t)0x8077457, (q31_t)0x7f80207b, (q31_t)0x7fafc9c,
+    (q31_t)0x7f81b065, (q31_t)0x7ee8493, (q31_t)0x7f833ddd, (q31_t)0x7e20c3b,
+    (q31_t)0x7f84c8e2, (q31_t)0x7d59396, (q31_t)0x7f865174, (q31_t)0x7c91aa3,
+    (q31_t)0x7f87d792, (q31_t)0x7bca163, (q31_t)0x7f895b3e, (q31_t)0x7b027d7,
+    (q31_t)0x7f8adc77, (q31_t)0x7a3adff, (q31_t)0x7f8c5b3d, (q31_t)0x79733dc,
+    (q31_t)0x7f8dd78f, (q31_t)0x78ab96e, (q31_t)0x7f8f516e, (q31_t)0x77e3eb5,
+    (q31_t)0x7f90c8da, (q31_t)0x771c3b3, (q31_t)0x7f923dd2, (q31_t)0x7654867,
+    (q31_t)0x7f93b058, (q31_t)0x758ccd2, (q31_t)0x7f952069, (q31_t)0x74c50f4,
+    (q31_t)0x7f968e07, (q31_t)0x73fd4cf, (q31_t)0x7f97f932, (q31_t)0x7335862,
+    (q31_t)0x7f9961e8, (q31_t)0x726dbae, (q31_t)0x7f9ac82c, (q31_t)0x71a5eb3,
+    (q31_t)0x7f9c2bfb, (q31_t)0x70de172, (q31_t)0x7f9d8d56, (q31_t)0x70163eb,
+    (q31_t)0x7f9eec3e, (q31_t)0x6f4e620, (q31_t)0x7fa048b2, (q31_t)0x6e86810,
+    (q31_t)0x7fa1a2b2, (q31_t)0x6dbe9bb, (q31_t)0x7fa2fa3d, (q31_t)0x6cf6b23,
+    (q31_t)0x7fa44f55, (q31_t)0x6c2ec48, (q31_t)0x7fa5a1f9, (q31_t)0x6b66d29,
+    (q31_t)0x7fa6f228, (q31_t)0x6a9edc9, (q31_t)0x7fa83fe3, (q31_t)0x69d6e27,
+    (q31_t)0x7fa98b2a, (q31_t)0x690ee44, (q31_t)0x7faad3fd, (q31_t)0x6846e1f,
+    (q31_t)0x7fac1a5b, (q31_t)0x677edbb, (q31_t)0x7fad5e45, (q31_t)0x66b6d16,
+    (q31_t)0x7fae9fbb, (q31_t)0x65eec33, (q31_t)0x7fafdebb, (q31_t)0x6526b10,
+    (q31_t)0x7fb11b48, (q31_t)0x645e9af, (q31_t)0x7fb2555f, (q31_t)0x6396810,
+    (q31_t)0x7fb38d02, (q31_t)0x62ce634, (q31_t)0x7fb4c231, (q31_t)0x620641a,
+    (q31_t)0x7fb5f4ea, (q31_t)0x613e1c5, (q31_t)0x7fb7252f, (q31_t)0x6075f33,
+    (q31_t)0x7fb852ff, (q31_t)0x5fadc66, (q31_t)0x7fb97e5a, (q31_t)0x5ee595d,
+    (q31_t)0x7fbaa740, (q31_t)0x5e1d61b, (q31_t)0x7fbbcdb1, (q31_t)0x5d5529e,
+    (q31_t)0x7fbcf1ad, (q31_t)0x5c8cee7, (q31_t)0x7fbe1334, (q31_t)0x5bc4af8,
+    (q31_t)0x7fbf3246, (q31_t)0x5afc6d0, (q31_t)0x7fc04ee3, (q31_t)0x5a3426f,
+    (q31_t)0x7fc1690a, (q31_t)0x596bdd7, (q31_t)0x7fc280bc, (q31_t)0x58a3908,
+    (q31_t)0x7fc395f9, (q31_t)0x57db403, (q31_t)0x7fc4a8c1, (q31_t)0x5712ec7,
+    (q31_t)0x7fc5b913, (q31_t)0x564a955, (q31_t)0x7fc6c6f0, (q31_t)0x55823ae,
+    (q31_t)0x7fc7d258, (q31_t)0x54b9dd3, (q31_t)0x7fc8db4a, (q31_t)0x53f17c3,
+    (q31_t)0x7fc9e1c6, (q31_t)0x532917f, (q31_t)0x7fcae5cd, (q31_t)0x5260b08,
+    (q31_t)0x7fcbe75e, (q31_t)0x519845e, (q31_t)0x7fcce67a, (q31_t)0x50cfd82,
+    (q31_t)0x7fcde320, (q31_t)0x5007674, (q31_t)0x7fcedd50, (q31_t)0x4f3ef35,
+    (q31_t)0x7fcfd50b, (q31_t)0x4e767c5, (q31_t)0x7fd0ca4f, (q31_t)0x4dae024,
+    (q31_t)0x7fd1bd1e, (q31_t)0x4ce5854, (q31_t)0x7fd2ad77, (q31_t)0x4c1d054,
+    (q31_t)0x7fd39b5a, (q31_t)0x4b54825, (q31_t)0x7fd486c7, (q31_t)0x4a8bfc7,
+    (q31_t)0x7fd56fbe, (q31_t)0x49c373c, (q31_t)0x7fd6563f, (q31_t)0x48fae83,
+    (q31_t)0x7fd73a4a, (q31_t)0x483259d, (q31_t)0x7fd81bdf, (q31_t)0x4769c8b,
+    (q31_t)0x7fd8fafe, (q31_t)0x46a134c, (q31_t)0x7fd9d7a7, (q31_t)0x45d89e2,
+    (q31_t)0x7fdab1d9, (q31_t)0x451004d, (q31_t)0x7fdb8996, (q31_t)0x444768d,
+    (q31_t)0x7fdc5edc, (q31_t)0x437eca4, (q31_t)0x7fdd31ac, (q31_t)0x42b6290,
+    (q31_t)0x7fde0205, (q31_t)0x41ed854, (q31_t)0x7fdecfe8, (q31_t)0x4124dee,
+    (q31_t)0x7fdf9b55, (q31_t)0x405c361, (q31_t)0x7fe0644b, (q31_t)0x3f938ac,
+    (q31_t)0x7fe12acb, (q31_t)0x3ecadcf, (q31_t)0x7fe1eed5, (q31_t)0x3e022cc,
+    (q31_t)0x7fe2b067, (q31_t)0x3d397a3, (q31_t)0x7fe36f84, (q31_t)0x3c70c54,
+    (q31_t)0x7fe42c2a, (q31_t)0x3ba80df, (q31_t)0x7fe4e659, (q31_t)0x3adf546,
+    (q31_t)0x7fe59e12, (q31_t)0x3a16988, (q31_t)0x7fe65354, (q31_t)0x394dda7,
+    (q31_t)0x7fe7061f, (q31_t)0x38851a2, (q31_t)0x7fe7b674, (q31_t)0x37bc57b,
+    (q31_t)0x7fe86452, (q31_t)0x36f3931, (q31_t)0x7fe90fb9, (q31_t)0x362acc5,
+    (q31_t)0x7fe9b8a9, (q31_t)0x3562038, (q31_t)0x7fea5f23, (q31_t)0x3499389,
+    (q31_t)0x7feb0326, (q31_t)0x33d06bb, (q31_t)0x7feba4b2, (q31_t)0x33079cc,
+    (q31_t)0x7fec43c7, (q31_t)0x323ecbe, (q31_t)0x7fece065, (q31_t)0x3175f91,
+    (q31_t)0x7fed7a8c, (q31_t)0x30ad245, (q31_t)0x7fee123d, (q31_t)0x2fe44dc,
+    (q31_t)0x7feea776, (q31_t)0x2f1b755, (q31_t)0x7fef3a39, (q31_t)0x2e529b0,
+    (q31_t)0x7fefca84, (q31_t)0x2d89bf0, (q31_t)0x7ff05858, (q31_t)0x2cc0e13,
+    (q31_t)0x7ff0e3b6, (q31_t)0x2bf801a, (q31_t)0x7ff16c9c, (q31_t)0x2b2f207,
+    (q31_t)0x7ff1f30b, (q31_t)0x2a663d8, (q31_t)0x7ff27703, (q31_t)0x299d590,
+    (q31_t)0x7ff2f884, (q31_t)0x28d472e, (q31_t)0x7ff3778e, (q31_t)0x280b8b3,
+    (q31_t)0x7ff3f420, (q31_t)0x2742a1f, (q31_t)0x7ff46e3c, (q31_t)0x2679b73,
+    (q31_t)0x7ff4e5e0, (q31_t)0x25b0caf, (q31_t)0x7ff55b0d, (q31_t)0x24e7dd4,
+    (q31_t)0x7ff5cdc3, (q31_t)0x241eee2, (q31_t)0x7ff63e01, (q31_t)0x2355fd9,
+    (q31_t)0x7ff6abc8, (q31_t)0x228d0bb, (q31_t)0x7ff71718, (q31_t)0x21c4188,
+    (q31_t)0x7ff77ff1, (q31_t)0x20fb240, (q31_t)0x7ff7e652, (q31_t)0x20322e3,
+    (q31_t)0x7ff84a3c, (q31_t)0x1f69373, (q31_t)0x7ff8abae, (q31_t)0x1ea03ef,
+    (q31_t)0x7ff90aaa, (q31_t)0x1dd7459, (q31_t)0x7ff9672d, (q31_t)0x1d0e4b0,
+    (q31_t)0x7ff9c13a, (q31_t)0x1c454f5, (q31_t)0x7ffa18cf, (q31_t)0x1b7c528,
+    (q31_t)0x7ffa6dec, (q31_t)0x1ab354b, (q31_t)0x7ffac092, (q31_t)0x19ea55d,
+    (q31_t)0x7ffb10c1, (q31_t)0x192155f, (q31_t)0x7ffb5e78, (q31_t)0x1858552,
+    (q31_t)0x7ffba9b8, (q31_t)0x178f536, (q31_t)0x7ffbf280, (q31_t)0x16c650b,
+    (q31_t)0x7ffc38d1, (q31_t)0x15fd4d2, (q31_t)0x7ffc7caa, (q31_t)0x153448c,
+    (q31_t)0x7ffcbe0c, (q31_t)0x146b438, (q31_t)0x7ffcfcf6, (q31_t)0x13a23d8,
+    (q31_t)0x7ffd3969, (q31_t)0x12d936c, (q31_t)0x7ffd7364, (q31_t)0x12102f4,
+    (q31_t)0x7ffdaae7, (q31_t)0x1147271, (q31_t)0x7ffddff3, (q31_t)0x107e1e3,
+    (q31_t)0x7ffe1288, (q31_t)0xfb514b, (q31_t)0x7ffe42a4, (q31_t)0xeec0aa,
+    (q31_t)0x7ffe704a, (q31_t)0xe22fff, (q31_t)0x7ffe9b77, (q31_t)0xd59f4c,
+    (q31_t)0x7ffec42d, (q31_t)0xc90e90, (q31_t)0x7ffeea6c, (q31_t)0xbc7dcc,
+    (q31_t)0x7fff0e32, (q31_t)0xafed02, (q31_t)0x7fff2f82, (q31_t)0xa35c30,
+    (q31_t)0x7fff4e59, (q31_t)0x96cb58, (q31_t)0x7fff6ab9, (q31_t)0x8a3a7b,
+    (q31_t)0x7fff84a1, (q31_t)0x7da998, (q31_t)0x7fff9c12, (q31_t)0x7118b0,
+    (q31_t)0x7fffb10b, (q31_t)0x6487c4, (q31_t)0x7fffc38c, (q31_t)0x57f6d4,
+    (q31_t)0x7fffd396, (q31_t)0x4b65e1, (q31_t)0x7fffe128, (q31_t)0x3ed4ea,
+    (q31_t)0x7fffec43, (q31_t)0x3243f1, (q31_t)0x7ffff4e6, (q31_t)0x25b2f7,
+    (q31_t)0x7ffffb11, (q31_t)0x1921fb, (q31_t)0x7ffffec4, (q31_t)0xc90fe,
+    (q31_t)0x7fffffff, (q31_t)0x0, (q31_t)0x7ffffec4, (q31_t)0xfff36f02,
+    (q31_t)0x7ffffb11, (q31_t)0xffe6de05, (q31_t)0x7ffff4e6, (q31_t)0xffda4d09,
+    (q31_t)0x7fffec43, (q31_t)0xffcdbc0f, (q31_t)0x7fffe128, (q31_t)0xffc12b16,
+    (q31_t)0x7fffd396, (q31_t)0xffb49a1f, (q31_t)0x7fffc38c, (q31_t)0xffa8092c,
+    (q31_t)0x7fffb10b, (q31_t)0xff9b783c, (q31_t)0x7fff9c12, (q31_t)0xff8ee750,
+    (q31_t)0x7fff84a1, (q31_t)0xff825668, (q31_t)0x7fff6ab9, (q31_t)0xff75c585,
+    (q31_t)0x7fff4e59, (q31_t)0xff6934a8, (q31_t)0x7fff2f82, (q31_t)0xff5ca3d0,
+    (q31_t)0x7fff0e32, (q31_t)0xff5012fe, (q31_t)0x7ffeea6c, (q31_t)0xff438234,
+    (q31_t)0x7ffec42d, (q31_t)0xff36f170, (q31_t)0x7ffe9b77, (q31_t)0xff2a60b4,
+    (q31_t)0x7ffe704a, (q31_t)0xff1dd001, (q31_t)0x7ffe42a4, (q31_t)0xff113f56,
+    (q31_t)0x7ffe1288, (q31_t)0xff04aeb5, (q31_t)0x7ffddff3, (q31_t)0xfef81e1d,
+    (q31_t)0x7ffdaae7, (q31_t)0xfeeb8d8f, (q31_t)0x7ffd7364, (q31_t)0xfedefd0c,
+    (q31_t)0x7ffd3969, (q31_t)0xfed26c94, (q31_t)0x7ffcfcf6, (q31_t)0xfec5dc28,
+    (q31_t)0x7ffcbe0c, (q31_t)0xfeb94bc8, (q31_t)0x7ffc7caa, (q31_t)0xfeacbb74,
+    (q31_t)0x7ffc38d1, (q31_t)0xfea02b2e, (q31_t)0x7ffbf280, (q31_t)0xfe939af5,
+    (q31_t)0x7ffba9b8, (q31_t)0xfe870aca, (q31_t)0x7ffb5e78, (q31_t)0xfe7a7aae,
+    (q31_t)0x7ffb10c1, (q31_t)0xfe6deaa1, (q31_t)0x7ffac092, (q31_t)0xfe615aa3,
+    (q31_t)0x7ffa6dec, (q31_t)0xfe54cab5, (q31_t)0x7ffa18cf, (q31_t)0xfe483ad8,
+    (q31_t)0x7ff9c13a, (q31_t)0xfe3bab0b, (q31_t)0x7ff9672d, (q31_t)0xfe2f1b50,
+    (q31_t)0x7ff90aaa, (q31_t)0xfe228ba7, (q31_t)0x7ff8abae, (q31_t)0xfe15fc11,
+    (q31_t)0x7ff84a3c, (q31_t)0xfe096c8d, (q31_t)0x7ff7e652, (q31_t)0xfdfcdd1d,
+    (q31_t)0x7ff77ff1, (q31_t)0xfdf04dc0, (q31_t)0x7ff71718, (q31_t)0xfde3be78,
+    (q31_t)0x7ff6abc8, (q31_t)0xfdd72f45, (q31_t)0x7ff63e01, (q31_t)0xfdcaa027,
+    (q31_t)0x7ff5cdc3, (q31_t)0xfdbe111e, (q31_t)0x7ff55b0d, (q31_t)0xfdb1822c,
+    (q31_t)0x7ff4e5e0, (q31_t)0xfda4f351, (q31_t)0x7ff46e3c, (q31_t)0xfd98648d,
+    (q31_t)0x7ff3f420, (q31_t)0xfd8bd5e1, (q31_t)0x7ff3778e, (q31_t)0xfd7f474d,
+    (q31_t)0x7ff2f884, (q31_t)0xfd72b8d2, (q31_t)0x7ff27703, (q31_t)0xfd662a70,
+    (q31_t)0x7ff1f30b, (q31_t)0xfd599c28, (q31_t)0x7ff16c9c, (q31_t)0xfd4d0df9,
+    (q31_t)0x7ff0e3b6, (q31_t)0xfd407fe6, (q31_t)0x7ff05858, (q31_t)0xfd33f1ed,
+    (q31_t)0x7fefca84, (q31_t)0xfd276410, (q31_t)0x7fef3a39, (q31_t)0xfd1ad650,
+    (q31_t)0x7feea776, (q31_t)0xfd0e48ab, (q31_t)0x7fee123d, (q31_t)0xfd01bb24,
+    (q31_t)0x7fed7a8c, (q31_t)0xfcf52dbb, (q31_t)0x7fece065, (q31_t)0xfce8a06f,
+    (q31_t)0x7fec43c7, (q31_t)0xfcdc1342, (q31_t)0x7feba4b2, (q31_t)0xfccf8634,
+    (q31_t)0x7feb0326, (q31_t)0xfcc2f945, (q31_t)0x7fea5f23, (q31_t)0xfcb66c77,
+    (q31_t)0x7fe9b8a9, (q31_t)0xfca9dfc8, (q31_t)0x7fe90fb9, (q31_t)0xfc9d533b,
+    (q31_t)0x7fe86452, (q31_t)0xfc90c6cf, (q31_t)0x7fe7b674, (q31_t)0xfc843a85,
+    (q31_t)0x7fe7061f, (q31_t)0xfc77ae5e, (q31_t)0x7fe65354, (q31_t)0xfc6b2259,
+    (q31_t)0x7fe59e12, (q31_t)0xfc5e9678, (q31_t)0x7fe4e659, (q31_t)0xfc520aba,
+    (q31_t)0x7fe42c2a, (q31_t)0xfc457f21, (q31_t)0x7fe36f84, (q31_t)0xfc38f3ac,
+    (q31_t)0x7fe2b067, (q31_t)0xfc2c685d, (q31_t)0x7fe1eed5, (q31_t)0xfc1fdd34,
+    (q31_t)0x7fe12acb, (q31_t)0xfc135231, (q31_t)0x7fe0644b, (q31_t)0xfc06c754,
+    (q31_t)0x7fdf9b55, (q31_t)0xfbfa3c9f, (q31_t)0x7fdecfe8, (q31_t)0xfbedb212,
+    (q31_t)0x7fde0205, (q31_t)0xfbe127ac, (q31_t)0x7fdd31ac, (q31_t)0xfbd49d70,
+    (q31_t)0x7fdc5edc, (q31_t)0xfbc8135c, (q31_t)0x7fdb8996, (q31_t)0xfbbb8973,
+    (q31_t)0x7fdab1d9, (q31_t)0xfbaeffb3, (q31_t)0x7fd9d7a7, (q31_t)0xfba2761e,
+    (q31_t)0x7fd8fafe, (q31_t)0xfb95ecb4, (q31_t)0x7fd81bdf, (q31_t)0xfb896375,
+    (q31_t)0x7fd73a4a, (q31_t)0xfb7cda63, (q31_t)0x7fd6563f, (q31_t)0xfb70517d,
+    (q31_t)0x7fd56fbe, (q31_t)0xfb63c8c4, (q31_t)0x7fd486c7, (q31_t)0xfb574039,
+    (q31_t)0x7fd39b5a, (q31_t)0xfb4ab7db, (q31_t)0x7fd2ad77, (q31_t)0xfb3e2fac,
+    (q31_t)0x7fd1bd1e, (q31_t)0xfb31a7ac, (q31_t)0x7fd0ca4f, (q31_t)0xfb251fdc,
+    (q31_t)0x7fcfd50b, (q31_t)0xfb18983b, (q31_t)0x7fcedd50, (q31_t)0xfb0c10cb,
+    (q31_t)0x7fcde320, (q31_t)0xfaff898c, (q31_t)0x7fcce67a, (q31_t)0xfaf3027e,
+    (q31_t)0x7fcbe75e, (q31_t)0xfae67ba2, (q31_t)0x7fcae5cd, (q31_t)0xfad9f4f8,
+    (q31_t)0x7fc9e1c6, (q31_t)0xfacd6e81, (q31_t)0x7fc8db4a, (q31_t)0xfac0e83d,
+    (q31_t)0x7fc7d258, (q31_t)0xfab4622d, (q31_t)0x7fc6c6f0, (q31_t)0xfaa7dc52,
+    (q31_t)0x7fc5b913, (q31_t)0xfa9b56ab, (q31_t)0x7fc4a8c1, (q31_t)0xfa8ed139,
+    (q31_t)0x7fc395f9, (q31_t)0xfa824bfd, (q31_t)0x7fc280bc, (q31_t)0xfa75c6f8,
+    (q31_t)0x7fc1690a, (q31_t)0xfa694229, (q31_t)0x7fc04ee3, (q31_t)0xfa5cbd91,
+    (q31_t)0x7fbf3246, (q31_t)0xfa503930, (q31_t)0x7fbe1334, (q31_t)0xfa43b508,
+    (q31_t)0x7fbcf1ad, (q31_t)0xfa373119, (q31_t)0x7fbbcdb1, (q31_t)0xfa2aad62,
+    (q31_t)0x7fbaa740, (q31_t)0xfa1e29e5, (q31_t)0x7fb97e5a, (q31_t)0xfa11a6a3,
+    (q31_t)0x7fb852ff, (q31_t)0xfa05239a, (q31_t)0x7fb7252f, (q31_t)0xf9f8a0cd,
+    (q31_t)0x7fb5f4ea, (q31_t)0xf9ec1e3b, (q31_t)0x7fb4c231, (q31_t)0xf9df9be6,
+    (q31_t)0x7fb38d02, (q31_t)0xf9d319cc, (q31_t)0x7fb2555f, (q31_t)0xf9c697f0,
+    (q31_t)0x7fb11b48, (q31_t)0xf9ba1651, (q31_t)0x7fafdebb, (q31_t)0xf9ad94f0,
+    (q31_t)0x7fae9fbb, (q31_t)0xf9a113cd, (q31_t)0x7fad5e45, (q31_t)0xf99492ea,
+    (q31_t)0x7fac1a5b, (q31_t)0xf9881245, (q31_t)0x7faad3fd, (q31_t)0xf97b91e1,
+    (q31_t)0x7fa98b2a, (q31_t)0xf96f11bc, (q31_t)0x7fa83fe3, (q31_t)0xf96291d9,
+    (q31_t)0x7fa6f228, (q31_t)0xf9561237, (q31_t)0x7fa5a1f9, (q31_t)0xf94992d7,
+    (q31_t)0x7fa44f55, (q31_t)0xf93d13b8, (q31_t)0x7fa2fa3d, (q31_t)0xf93094dd,
+    (q31_t)0x7fa1a2b2, (q31_t)0xf9241645, (q31_t)0x7fa048b2, (q31_t)0xf91797f0,
+    (q31_t)0x7f9eec3e, (q31_t)0xf90b19e0, (q31_t)0x7f9d8d56, (q31_t)0xf8fe9c15,
+    (q31_t)0x7f9c2bfb, (q31_t)0xf8f21e8e, (q31_t)0x7f9ac82c, (q31_t)0xf8e5a14d,
+    (q31_t)0x7f9961e8, (q31_t)0xf8d92452, (q31_t)0x7f97f932, (q31_t)0xf8cca79e,
+    (q31_t)0x7f968e07, (q31_t)0xf8c02b31, (q31_t)0x7f952069, (q31_t)0xf8b3af0c,
+    (q31_t)0x7f93b058, (q31_t)0xf8a7332e, (q31_t)0x7f923dd2, (q31_t)0xf89ab799,
+    (q31_t)0x7f90c8da, (q31_t)0xf88e3c4d, (q31_t)0x7f8f516e, (q31_t)0xf881c14b,
+    (q31_t)0x7f8dd78f, (q31_t)0xf8754692, (q31_t)0x7f8c5b3d, (q31_t)0xf868cc24,
+    (q31_t)0x7f8adc77, (q31_t)0xf85c5201, (q31_t)0x7f895b3e, (q31_t)0xf84fd829,
+    (q31_t)0x7f87d792, (q31_t)0xf8435e9d, (q31_t)0x7f865174, (q31_t)0xf836e55d,
+    (q31_t)0x7f84c8e2, (q31_t)0xf82a6c6a, (q31_t)0x7f833ddd, (q31_t)0xf81df3c5,
+    (q31_t)0x7f81b065, (q31_t)0xf8117b6d, (q31_t)0x7f80207b, (q31_t)0xf8050364,
+    (q31_t)0x7f7e8e1e, (q31_t)0xf7f88ba9, (q31_t)0x7f7cf94e, (q31_t)0xf7ec143e,
+    (q31_t)0x7f7b620c, (q31_t)0xf7df9d22, (q31_t)0x7f79c857, (q31_t)0xf7d32657,
+    (q31_t)0x7f782c30, (q31_t)0xf7c6afdc, (q31_t)0x7f768d96, (q31_t)0xf7ba39b3,
+    (q31_t)0x7f74ec8a, (q31_t)0xf7adc3db, (q31_t)0x7f73490b, (q31_t)0xf7a14e55,
+    (q31_t)0x7f71a31b, (q31_t)0xf794d922, (q31_t)0x7f6ffab8, (q31_t)0xf7886442,
+    (q31_t)0x7f6e4fe3, (q31_t)0xf77befb5, (q31_t)0x7f6ca29c, (q31_t)0xf76f7b7d,
+    (q31_t)0x7f6af2e3, (q31_t)0xf7630799, (q31_t)0x7f6940b8, (q31_t)0xf756940a,
+    (q31_t)0x7f678c1c, (q31_t)0xf74a20d0, (q31_t)0x7f65d50d, (q31_t)0xf73daded,
+    (q31_t)0x7f641b8d, (q31_t)0xf7313b60, (q31_t)0x7f625f9b, (q31_t)0xf724c92a,
+    (q31_t)0x7f60a138, (q31_t)0xf718574b, (q31_t)0x7f5ee063, (q31_t)0xf70be5c4,
+    (q31_t)0x7f5d1d1d, (q31_t)0xf6ff7496, (q31_t)0x7f5b5765, (q31_t)0xf6f303c0,
+    (q31_t)0x7f598f3c, (q31_t)0xf6e69344, (q31_t)0x7f57c4a2, (q31_t)0xf6da2321,
+    (q31_t)0x7f55f796, (q31_t)0xf6cdb359, (q31_t)0x7f54281a, (q31_t)0xf6c143ec,
+    (q31_t)0x7f52562c, (q31_t)0xf6b4d4d9, (q31_t)0x7f5081cd, (q31_t)0xf6a86623,
+    (q31_t)0x7f4eaafe, (q31_t)0xf69bf7c9, (q31_t)0x7f4cd1be, (q31_t)0xf68f89cb,
+    (q31_t)0x7f4af60d, (q31_t)0xf6831c2b, (q31_t)0x7f4917eb, (q31_t)0xf676aee8,
+    (q31_t)0x7f473759, (q31_t)0xf66a4203, (q31_t)0x7f455456, (q31_t)0xf65dd57d,
+    (q31_t)0x7f436ee3, (q31_t)0xf6516956, (q31_t)0x7f4186ff, (q31_t)0xf644fd8f,
+    (q31_t)0x7f3f9cab, (q31_t)0xf6389228, (q31_t)0x7f3dafe7, (q31_t)0xf62c2721,
+    (q31_t)0x7f3bc0b3, (q31_t)0xf61fbc7b, (q31_t)0x7f39cf0e, (q31_t)0xf6135237,
+    (q31_t)0x7f37dafa, (q31_t)0xf606e854, (q31_t)0x7f35e476, (q31_t)0xf5fa7ed4,
+    (q31_t)0x7f33eb81, (q31_t)0xf5ee15b7, (q31_t)0x7f31f01d, (q31_t)0xf5e1acfd,
+    (q31_t)0x7f2ff24a, (q31_t)0xf5d544a7, (q31_t)0x7f2df206, (q31_t)0xf5c8dcb6,
+    (q31_t)0x7f2bef53, (q31_t)0xf5bc7529, (q31_t)0x7f29ea31, (q31_t)0xf5b00e02,
+    (q31_t)0x7f27e29f, (q31_t)0xf5a3a740, (q31_t)0x7f25d89e, (q31_t)0xf59740e5,
+    (q31_t)0x7f23cc2e, (q31_t)0xf58adaf0, (q31_t)0x7f21bd4e, (q31_t)0xf57e7563,
+    (q31_t)0x7f1fabff, (q31_t)0xf572103d, (q31_t)0x7f1d9842, (q31_t)0xf565ab80,
+    (q31_t)0x7f1b8215, (q31_t)0xf559472b, (q31_t)0x7f19697a, (q31_t)0xf54ce33f,
+    (q31_t)0x7f174e70, (q31_t)0xf5407fbd, (q31_t)0x7f1530f7, (q31_t)0xf5341ca5,
+    (q31_t)0x7f13110f, (q31_t)0xf527b9f7, (q31_t)0x7f10eeb9, (q31_t)0xf51b57b5,
+    (q31_t)0x7f0ec9f5, (q31_t)0xf50ef5de, (q31_t)0x7f0ca2c2, (q31_t)0xf5029473,
+    (q31_t)0x7f0a7921, (q31_t)0xf4f63374, (q31_t)0x7f084d12, (q31_t)0xf4e9d2e3,
+    (q31_t)0x7f061e95, (q31_t)0xf4dd72be, (q31_t)0x7f03eda9, (q31_t)0xf4d11308,
+    (q31_t)0x7f01ba50, (q31_t)0xf4c4b3c0, (q31_t)0x7eff8489, (q31_t)0xf4b854e7,
+    (q31_t)0x7efd4c54, (q31_t)0xf4abf67e, (q31_t)0x7efb11b1, (q31_t)0xf49f9884,
+    (q31_t)0x7ef8d4a1, (q31_t)0xf4933afa, (q31_t)0x7ef69523, (q31_t)0xf486dde1,
+    (q31_t)0x7ef45338, (q31_t)0xf47a8139, (q31_t)0x7ef20ee0, (q31_t)0xf46e2504,
+    (q31_t)0x7eefc81a, (q31_t)0xf461c940, (q31_t)0x7eed7ee7, (q31_t)0xf4556def,
+    (q31_t)0x7eeb3347, (q31_t)0xf4491311, (q31_t)0x7ee8e53a, (q31_t)0xf43cb8a7,
+    (q31_t)0x7ee694c1, (q31_t)0xf4305eb0, (q31_t)0x7ee441da, (q31_t)0xf424052f,
+    (q31_t)0x7ee1ec87, (q31_t)0xf417ac22, (q31_t)0x7edf94c7, (q31_t)0xf40b538b,
+    (q31_t)0x7edd3a9a, (q31_t)0xf3fefb6a, (q31_t)0x7edade01, (q31_t)0xf3f2a3bf,
+    (q31_t)0x7ed87efc, (q31_t)0xf3e64c8c, (q31_t)0x7ed61d8a, (q31_t)0xf3d9f5cf,
+    (q31_t)0x7ed3b9ad, (q31_t)0xf3cd9f8b, (q31_t)0x7ed15363, (q31_t)0xf3c149bf,
+    (q31_t)0x7eceeaad, (q31_t)0xf3b4f46c, (q31_t)0x7ecc7f8b, (q31_t)0xf3a89f92,
+    (q31_t)0x7eca11fe, (q31_t)0xf39c4b32, (q31_t)0x7ec7a205, (q31_t)0xf38ff74d,
+    (q31_t)0x7ec52fa0, (q31_t)0xf383a3e2, (q31_t)0x7ec2bad0, (q31_t)0xf37750f2,
+    (q31_t)0x7ec04394, (q31_t)0xf36afe7e, (q31_t)0x7ebdc9ed, (q31_t)0xf35eac86,
+    (q31_t)0x7ebb4ddb, (q31_t)0xf3525b0b, (q31_t)0x7eb8cf5d, (q31_t)0xf3460a0d,
+    (q31_t)0x7eb64e75, (q31_t)0xf339b98d, (q31_t)0x7eb3cb21, (q31_t)0xf32d698a,
+    (q31_t)0x7eb14563, (q31_t)0xf3211a07, (q31_t)0x7eaebd3a, (q31_t)0xf314cb02,
+    (q31_t)0x7eac32a6, (q31_t)0xf3087c7d, (q31_t)0x7ea9a5a8, (q31_t)0xf2fc2e77,
+    (q31_t)0x7ea7163f, (q31_t)0xf2efe0f2, (q31_t)0x7ea4846c, (q31_t)0xf2e393ef,
+    (q31_t)0x7ea1f02f, (q31_t)0xf2d7476c, (q31_t)0x7e9f5988, (q31_t)0xf2cafb6b,
+    (q31_t)0x7e9cc076, (q31_t)0xf2beafed, (q31_t)0x7e9a24fb, (q31_t)0xf2b264f2,
+    (q31_t)0x7e978715, (q31_t)0xf2a61a7a, (q31_t)0x7e94e6c6, (q31_t)0xf299d085,
+    (q31_t)0x7e92440d, (q31_t)0xf28d8715, (q31_t)0x7e8f9eeb, (q31_t)0xf2813e2a,
+    (q31_t)0x7e8cf75f, (q31_t)0xf274f5c3, (q31_t)0x7e8a4d6a, (q31_t)0xf268ade3,
+    (q31_t)0x7e87a10c, (q31_t)0xf25c6688, (q31_t)0x7e84f245, (q31_t)0xf2501fb5,
+    (q31_t)0x7e824114, (q31_t)0xf243d968, (q31_t)0x7e7f8d7b, (q31_t)0xf23793a3,
+    (q31_t)0x7e7cd778, (q31_t)0xf22b4e66, (q31_t)0x7e7a1f0d, (q31_t)0xf21f09b1,
+    (q31_t)0x7e77643a, (q31_t)0xf212c585, (q31_t)0x7e74a6fd, (q31_t)0xf20681e3,
+    (q31_t)0x7e71e759, (q31_t)0xf1fa3ecb, (q31_t)0x7e6f254c, (q31_t)0xf1edfc3d,
+    (q31_t)0x7e6c60d7, (q31_t)0xf1e1ba3a, (q31_t)0x7e6999fa, (q31_t)0xf1d578c2,
+    (q31_t)0x7e66d0b4, (q31_t)0xf1c937d6, (q31_t)0x7e640507, (q31_t)0xf1bcf777,
+    (q31_t)0x7e6136f3, (q31_t)0xf1b0b7a4, (q31_t)0x7e5e6676, (q31_t)0xf1a4785e,
+    (q31_t)0x7e5b9392, (q31_t)0xf19839a6, (q31_t)0x7e58be47, (q31_t)0xf18bfb7d,
+    (q31_t)0x7e55e694, (q31_t)0xf17fbde2, (q31_t)0x7e530c7a, (q31_t)0xf17380d6,
+    (q31_t)0x7e502ff9, (q31_t)0xf1674459, (q31_t)0x7e4d5110, (q31_t)0xf15b086d,
+    (q31_t)0x7e4a6fc1, (q31_t)0xf14ecd11, (q31_t)0x7e478c0b, (q31_t)0xf1429247,
+    (q31_t)0x7e44a5ef, (q31_t)0xf136580d, (q31_t)0x7e41bd6c, (q31_t)0xf12a1e66,
+    (q31_t)0x7e3ed282, (q31_t)0xf11de551, (q31_t)0x7e3be532, (q31_t)0xf111accf,
+    (q31_t)0x7e38f57c, (q31_t)0xf10574e0, (q31_t)0x7e360360, (q31_t)0xf0f93d86,
+    (q31_t)0x7e330ede, (q31_t)0xf0ed06bf, (q31_t)0x7e3017f6, (q31_t)0xf0e0d08d,
+    (q31_t)0x7e2d1ea8, (q31_t)0xf0d49af1, (q31_t)0x7e2a22f4, (q31_t)0xf0c865ea,
+    (q31_t)0x7e2724db, (q31_t)0xf0bc317a, (q31_t)0x7e24245d, (q31_t)0xf0affda0,
+    (q31_t)0x7e212179, (q31_t)0xf0a3ca5d, (q31_t)0x7e1e1c30, (q31_t)0xf09797b2,
+    (q31_t)0x7e1b1482, (q31_t)0xf08b659f, (q31_t)0x7e180a6f, (q31_t)0xf07f3424,
+    (q31_t)0x7e14fdf7, (q31_t)0xf0730342, (q31_t)0x7e11ef1b, (q31_t)0xf066d2fa,
+    (q31_t)0x7e0eddd9, (q31_t)0xf05aa34c, (q31_t)0x7e0bca34, (q31_t)0xf04e7438,
+    (q31_t)0x7e08b42a, (q31_t)0xf04245c0, (q31_t)0x7e059bbb, (q31_t)0xf03617e2,
+    (q31_t)0x7e0280e9, (q31_t)0xf029eaa1, (q31_t)0x7dff63b2, (q31_t)0xf01dbdfb,
+    (q31_t)0x7dfc4418, (q31_t)0xf01191f3, (q31_t)0x7df9221a, (q31_t)0xf0056687,
+    (q31_t)0x7df5fdb8, (q31_t)0xeff93bba, (q31_t)0x7df2d6f3, (q31_t)0xefed118a,
+    (q31_t)0x7defadca, (q31_t)0xefe0e7f9, (q31_t)0x7dec823e, (q31_t)0xefd4bf08,
+    (q31_t)0x7de9544f, (q31_t)0xefc896b5, (q31_t)0x7de623fd, (q31_t)0xefbc6f03,
+    (q31_t)0x7de2f148, (q31_t)0xefb047f2, (q31_t)0x7ddfbc30, (q31_t)0xefa42181,
+    (q31_t)0x7ddc84b5, (q31_t)0xef97fbb2, (q31_t)0x7dd94ad8, (q31_t)0xef8bd685,
+    (q31_t)0x7dd60e99, (q31_t)0xef7fb1fa, (q31_t)0x7dd2cff7, (q31_t)0xef738e12,
+    (q31_t)0x7dcf8ef3, (q31_t)0xef676ace, (q31_t)0x7dcc4b8d, (q31_t)0xef5b482d,
+    (q31_t)0x7dc905c5, (q31_t)0xef4f2630, (q31_t)0x7dc5bd9b, (q31_t)0xef4304d8,
+    (q31_t)0x7dc2730f, (q31_t)0xef36e426, (q31_t)0x7dbf2622, (q31_t)0xef2ac419,
+    (q31_t)0x7dbbd6d4, (q31_t)0xef1ea4b2, (q31_t)0x7db88524, (q31_t)0xef1285f2,
+    (q31_t)0x7db53113, (q31_t)0xef0667d9, (q31_t)0x7db1daa2, (q31_t)0xeefa4a67,
+    (q31_t)0x7dae81cf, (q31_t)0xeeee2d9d, (q31_t)0x7dab269b, (q31_t)0xeee2117c,
+    (q31_t)0x7da7c907, (q31_t)0xeed5f604, (q31_t)0x7da46912, (q31_t)0xeec9db35,
+    (q31_t)0x7da106bd, (q31_t)0xeebdc110, (q31_t)0x7d9da208, (q31_t)0xeeb1a796,
+    (q31_t)0x7d9a3af2, (q31_t)0xeea58ec6, (q31_t)0x7d96d17d, (q31_t)0xee9976a1,
+    (q31_t)0x7d9365a8, (q31_t)0xee8d5f29, (q31_t)0x7d8ff772, (q31_t)0xee81485c,
+    (q31_t)0x7d8c86de, (q31_t)0xee75323c, (q31_t)0x7d8913ea, (q31_t)0xee691cc9,
+    (q31_t)0x7d859e96, (q31_t)0xee5d0804, (q31_t)0x7d8226e4, (q31_t)0xee50f3ed,
+    (q31_t)0x7d7eacd2, (q31_t)0xee44e084, (q31_t)0x7d7b3061, (q31_t)0xee38cdcb,
+    (q31_t)0x7d77b192, (q31_t)0xee2cbbc1, (q31_t)0x7d743064, (q31_t)0xee20aa67,
+    (q31_t)0x7d70acd7, (q31_t)0xee1499bd, (q31_t)0x7d6d26ec, (q31_t)0xee0889c4,
+    (q31_t)0x7d699ea3, (q31_t)0xedfc7a7c, (q31_t)0x7d6613fb, (q31_t)0xedf06be6,
+    (q31_t)0x7d6286f6, (q31_t)0xede45e03, (q31_t)0x7d5ef793, (q31_t)0xedd850d2,
+    (q31_t)0x7d5b65d2, (q31_t)0xedcc4454, (q31_t)0x7d57d1b3, (q31_t)0xedc0388a,
+    (q31_t)0x7d543b37, (q31_t)0xedb42d74, (q31_t)0x7d50a25e, (q31_t)0xeda82313,
+    (q31_t)0x7d4d0728, (q31_t)0xed9c1967, (q31_t)0x7d496994, (q31_t)0xed901070,
+    (q31_t)0x7d45c9a4, (q31_t)0xed84082f, (q31_t)0x7d422757, (q31_t)0xed7800a5,
+    (q31_t)0x7d3e82ae, (q31_t)0xed6bf9d1, (q31_t)0x7d3adba7, (q31_t)0xed5ff3b5,
+    (q31_t)0x7d373245, (q31_t)0xed53ee51, (q31_t)0x7d338687, (q31_t)0xed47e9a5,
+    (q31_t)0x7d2fd86c, (q31_t)0xed3be5b1, (q31_t)0x7d2c27f6, (q31_t)0xed2fe277,
+    (q31_t)0x7d287523, (q31_t)0xed23dff7, (q31_t)0x7d24bff6, (q31_t)0xed17de31,
+    (q31_t)0x7d21086c, (q31_t)0xed0bdd25, (q31_t)0x7d1d4e88, (q31_t)0xecffdcd4,
+    (q31_t)0x7d199248, (q31_t)0xecf3dd3f, (q31_t)0x7d15d3ad, (q31_t)0xece7de66,
+    (q31_t)0x7d1212b7, (q31_t)0xecdbe04a, (q31_t)0x7d0e4f67, (q31_t)0xeccfe2ea,
+    (q31_t)0x7d0a89bc, (q31_t)0xecc3e648, (q31_t)0x7d06c1b6, (q31_t)0xecb7ea63,
+    (q31_t)0x7d02f757, (q31_t)0xecabef3d, (q31_t)0x7cff2a9d, (q31_t)0xec9ff4d6,
+    (q31_t)0x7cfb5b89, (q31_t)0xec93fb2e, (q31_t)0x7cf78a1b, (q31_t)0xec880245,
+    (q31_t)0x7cf3b653, (q31_t)0xec7c0a1d, (q31_t)0x7cefe032, (q31_t)0xec7012b5,
+    (q31_t)0x7cec07b8, (q31_t)0xec641c0e, (q31_t)0x7ce82ce4, (q31_t)0xec582629,
+    (q31_t)0x7ce44fb7, (q31_t)0xec4c3106, (q31_t)0x7ce07031, (q31_t)0xec403ca5,
+    (q31_t)0x7cdc8e52, (q31_t)0xec344908, (q31_t)0x7cd8aa1b, (q31_t)0xec28562d,
+    (q31_t)0x7cd4c38b, (q31_t)0xec1c6417, (q31_t)0x7cd0daa2, (q31_t)0xec1072c4,
+    (q31_t)0x7cccef62, (q31_t)0xec048237, (q31_t)0x7cc901c9, (q31_t)0xebf8926f,
+    (q31_t)0x7cc511d9, (q31_t)0xebeca36c, (q31_t)0x7cc11f90, (q31_t)0xebe0b52f,
+    (q31_t)0x7cbd2af0, (q31_t)0xebd4c7ba, (q31_t)0x7cb933f9, (q31_t)0xebc8db0b,
+    (q31_t)0x7cb53aaa, (q31_t)0xebbcef23, (q31_t)0x7cb13f04, (q31_t)0xebb10404,
+    (q31_t)0x7cad4107, (q31_t)0xeba519ad, (q31_t)0x7ca940b3, (q31_t)0xeb99301f,
+    (q31_t)0x7ca53e09, (q31_t)0xeb8d475b, (q31_t)0x7ca13908, (q31_t)0xeb815f60,
+    (q31_t)0x7c9d31b0, (q31_t)0xeb75782f, (q31_t)0x7c992803, (q31_t)0xeb6991ca,
+    (q31_t)0x7c951bff, (q31_t)0xeb5dac2f, (q31_t)0x7c910da5, (q31_t)0xeb51c760,
+    (q31_t)0x7c8cfcf6, (q31_t)0xeb45e35d, (q31_t)0x7c88e9f1, (q31_t)0xeb3a0027,
+    (q31_t)0x7c84d496, (q31_t)0xeb2e1dbe, (q31_t)0x7c80bce7, (q31_t)0xeb223c22,
+    (q31_t)0x7c7ca2e2, (q31_t)0xeb165b54, (q31_t)0x7c788688, (q31_t)0xeb0a7b54,
+    (q31_t)0x7c7467d9, (q31_t)0xeafe9c24, (q31_t)0x7c7046d6, (q31_t)0xeaf2bdc3,
+    (q31_t)0x7c6c237e, (q31_t)0xeae6e031, (q31_t)0x7c67fdd1, (q31_t)0xeadb0370,
+    (q31_t)0x7c63d5d1, (q31_t)0xeacf277f, (q31_t)0x7c5fab7c, (q31_t)0xeac34c60,
+    (q31_t)0x7c5b7ed4, (q31_t)0xeab77212, (q31_t)0x7c574fd8, (q31_t)0xeaab9896,
+    (q31_t)0x7c531e88, (q31_t)0xea9fbfed, (q31_t)0x7c4eeae5, (q31_t)0xea93e817,
+    (q31_t)0x7c4ab4ef, (q31_t)0xea881114, (q31_t)0x7c467ca6, (q31_t)0xea7c3ae5,
+    (q31_t)0x7c42420a, (q31_t)0xea70658a, (q31_t)0x7c3e051b, (q31_t)0xea649105,
+    (q31_t)0x7c39c5da, (q31_t)0xea58bd54, (q31_t)0x7c358446, (q31_t)0xea4cea79,
+    (q31_t)0x7c314060, (q31_t)0xea411874, (q31_t)0x7c2cfa28, (q31_t)0xea354746,
+    (q31_t)0x7c28b19e, (q31_t)0xea2976ef, (q31_t)0x7c2466c2, (q31_t)0xea1da770,
+    (q31_t)0x7c201994, (q31_t)0xea11d8c8, (q31_t)0x7c1bca16, (q31_t)0xea060af9,
+    (q31_t)0x7c177845, (q31_t)0xe9fa3e03, (q31_t)0x7c132424, (q31_t)0xe9ee71e6,
+    (q31_t)0x7c0ecdb2, (q31_t)0xe9e2a6a3, (q31_t)0x7c0a74f0, (q31_t)0xe9d6dc3b,
+    (q31_t)0x7c0619dc, (q31_t)0xe9cb12ad, (q31_t)0x7c01bc78, (q31_t)0xe9bf49fa,
+    (q31_t)0x7bfd5cc4, (q31_t)0xe9b38223, (q31_t)0x7bf8fac0, (q31_t)0xe9a7bb28,
+    (q31_t)0x7bf4966c, (q31_t)0xe99bf509, (q31_t)0x7bf02fc9, (q31_t)0xe9902fc7,
+    (q31_t)0x7bebc6d5, (q31_t)0xe9846b63, (q31_t)0x7be75b93, (q31_t)0xe978a7dd,
+    (q31_t)0x7be2ee01, (q31_t)0xe96ce535, (q31_t)0x7bde7e20, (q31_t)0xe961236c,
+    (q31_t)0x7bda0bf0, (q31_t)0xe9556282, (q31_t)0x7bd59771, (q31_t)0xe949a278,
+    (q31_t)0x7bd120a4, (q31_t)0xe93de34e, (q31_t)0x7bcca789, (q31_t)0xe9322505,
+    (q31_t)0x7bc82c1f, (q31_t)0xe926679c, (q31_t)0x7bc3ae67, (q31_t)0xe91aab16,
+    (q31_t)0x7bbf2e62, (q31_t)0xe90eef71, (q31_t)0x7bbaac0e, (q31_t)0xe90334af,
+    (q31_t)0x7bb6276e, (q31_t)0xe8f77acf, (q31_t)0x7bb1a080, (q31_t)0xe8ebc1d3,
+    (q31_t)0x7bad1744, (q31_t)0xe8e009ba, (q31_t)0x7ba88bbc, (q31_t)0xe8d45286,
+    (q31_t)0x7ba3fde7, (q31_t)0xe8c89c37, (q31_t)0x7b9f6dc5, (q31_t)0xe8bce6cd,
+    (q31_t)0x7b9adb57, (q31_t)0xe8b13248, (q31_t)0x7b96469d, (q31_t)0xe8a57ea9,
+    (q31_t)0x7b91af97, (q31_t)0xe899cbf1, (q31_t)0x7b8d1644, (q31_t)0xe88e1a20,
+    (q31_t)0x7b887aa6, (q31_t)0xe8826936, (q31_t)0x7b83dcbc, (q31_t)0xe876b934,
+    (q31_t)0x7b7f3c87, (q31_t)0xe86b0a1a, (q31_t)0x7b7a9a07, (q31_t)0xe85f5be9,
+    (q31_t)0x7b75f53c, (q31_t)0xe853aea1, (q31_t)0x7b714e25, (q31_t)0xe8480243,
+    (q31_t)0x7b6ca4c4, (q31_t)0xe83c56cf, (q31_t)0x7b67f919, (q31_t)0xe830ac45,
+    (q31_t)0x7b634b23, (q31_t)0xe82502a7, (q31_t)0x7b5e9ae4, (q31_t)0xe81959f4,
+    (q31_t)0x7b59e85a, (q31_t)0xe80db22d, (q31_t)0x7b553386, (q31_t)0xe8020b52,
+    (q31_t)0x7b507c69, (q31_t)0xe7f66564, (q31_t)0x7b4bc303, (q31_t)0xe7eac063,
+    (q31_t)0x7b470753, (q31_t)0xe7df1c50, (q31_t)0x7b42495a, (q31_t)0xe7d3792b,
+    (q31_t)0x7b3d8918, (q31_t)0xe7c7d6f4, (q31_t)0x7b38c68e, (q31_t)0xe7bc35ad,
+    (q31_t)0x7b3401bb, (q31_t)0xe7b09555, (q31_t)0x7b2f3aa0, (q31_t)0xe7a4f5ed,
+    (q31_t)0x7b2a713d, (q31_t)0xe7995776, (q31_t)0x7b25a591, (q31_t)0xe78db9ef,
+    (q31_t)0x7b20d79e, (q31_t)0xe7821d59, (q31_t)0x7b1c0764, (q31_t)0xe77681b6,
+    (q31_t)0x7b1734e2, (q31_t)0xe76ae704, (q31_t)0x7b126019, (q31_t)0xe75f4d45,
+    (q31_t)0x7b0d8909, (q31_t)0xe753b479, (q31_t)0x7b08afb2, (q31_t)0xe7481ca1,
+    (q31_t)0x7b03d414, (q31_t)0xe73c85bc, (q31_t)0x7afef630, (q31_t)0xe730efcc,
+    (q31_t)0x7afa1605, (q31_t)0xe7255ad1, (q31_t)0x7af53395, (q31_t)0xe719c6cb,
+    (q31_t)0x7af04edf, (q31_t)0xe70e33bb, (q31_t)0x7aeb67e3, (q31_t)0xe702a1a1,
+    (q31_t)0x7ae67ea1, (q31_t)0xe6f7107e, (q31_t)0x7ae1931a, (q31_t)0xe6eb8052,
+    (q31_t)0x7adca54e, (q31_t)0xe6dff11d, (q31_t)0x7ad7b53d, (q31_t)0xe6d462e1,
+    (q31_t)0x7ad2c2e8, (q31_t)0xe6c8d59c, (q31_t)0x7acdce4d, (q31_t)0xe6bd4951,
+    (q31_t)0x7ac8d76f, (q31_t)0xe6b1bdff, (q31_t)0x7ac3de4c, (q31_t)0xe6a633a6,
+    (q31_t)0x7abee2e5, (q31_t)0xe69aaa48, (q31_t)0x7ab9e53a, (q31_t)0xe68f21e5,
+    (q31_t)0x7ab4e54c, (q31_t)0xe6839a7c, (q31_t)0x7aafe31b, (q31_t)0xe6781410,
+    (q31_t)0x7aaadea6, (q31_t)0xe66c8e9f, (q31_t)0x7aa5d7ee, (q31_t)0xe6610a2a,
+    (q31_t)0x7aa0cef3, (q31_t)0xe65586b3, (q31_t)0x7a9bc3b6, (q31_t)0xe64a0438,
+    (q31_t)0x7a96b636, (q31_t)0xe63e82bc, (q31_t)0x7a91a674, (q31_t)0xe633023e,
+    (q31_t)0x7a8c9470, (q31_t)0xe62782be, (q31_t)0x7a87802a, (q31_t)0xe61c043d,
+    (q31_t)0x7a8269a3, (q31_t)0xe61086bc, (q31_t)0x7a7d50da, (q31_t)0xe6050a3b,
+    (q31_t)0x7a7835cf, (q31_t)0xe5f98ebb, (q31_t)0x7a731884, (q31_t)0xe5ee143b,
+    (q31_t)0x7a6df8f8, (q31_t)0xe5e29abc, (q31_t)0x7a68d72b, (q31_t)0xe5d72240,
+    (q31_t)0x7a63b31d, (q31_t)0xe5cbaac5, (q31_t)0x7a5e8cd0, (q31_t)0xe5c0344d,
+    (q31_t)0x7a596442, (q31_t)0xe5b4bed8, (q31_t)0x7a543974, (q31_t)0xe5a94a67,
+    (q31_t)0x7a4f0c67, (q31_t)0xe59dd6f9, (q31_t)0x7a49dd1a, (q31_t)0xe5926490,
+    (q31_t)0x7a44ab8e, (q31_t)0xe586f32c, (q31_t)0x7a3f77c3, (q31_t)0xe57b82cd,
+    (q31_t)0x7a3a41b9, (q31_t)0xe5701374, (q31_t)0x7a350970, (q31_t)0xe564a521,
+    (q31_t)0x7a2fcee8, (q31_t)0xe55937d5, (q31_t)0x7a2a9223, (q31_t)0xe54dcb8f,
+    (q31_t)0x7a25531f, (q31_t)0xe5426051, (q31_t)0x7a2011de, (q31_t)0xe536f61b,
+    (q31_t)0x7a1ace5f, (q31_t)0xe52b8cee, (q31_t)0x7a1588a2, (q31_t)0xe52024c9,
+    (q31_t)0x7a1040a8, (q31_t)0xe514bdad, (q31_t)0x7a0af671, (q31_t)0xe509579b,
+    (q31_t)0x7a05a9fd, (q31_t)0xe4fdf294, (q31_t)0x7a005b4d, (q31_t)0xe4f28e96,
+    (q31_t)0x79fb0a60, (q31_t)0xe4e72ba4, (q31_t)0x79f5b737, (q31_t)0xe4dbc9bd,
+    (q31_t)0x79f061d2, (q31_t)0xe4d068e2, (q31_t)0x79eb0a31, (q31_t)0xe4c50914,
+    (q31_t)0x79e5b054, (q31_t)0xe4b9aa52, (q31_t)0x79e0543c, (q31_t)0xe4ae4c9d,
+    (q31_t)0x79daf5e8, (q31_t)0xe4a2eff6, (q31_t)0x79d5955a, (q31_t)0xe497945d,
+    (q31_t)0x79d03291, (q31_t)0xe48c39d3, (q31_t)0x79cacd8d, (q31_t)0xe480e057,
+    (q31_t)0x79c5664f, (q31_t)0xe47587eb, (q31_t)0x79bffcd7, (q31_t)0xe46a308f,
+    (q31_t)0x79ba9125, (q31_t)0xe45eda43, (q31_t)0x79b52339, (q31_t)0xe4538507,
+    (q31_t)0x79afb313, (q31_t)0xe44830dd, (q31_t)0x79aa40b4, (q31_t)0xe43cddc4,
+    (q31_t)0x79a4cc1c, (q31_t)0xe4318bbe, (q31_t)0x799f554b, (q31_t)0xe4263ac9,
+    (q31_t)0x7999dc42, (q31_t)0xe41aeae8, (q31_t)0x799460ff, (q31_t)0xe40f9c1a,
+    (q31_t)0x798ee385, (q31_t)0xe4044e60, (q31_t)0x798963d2, (q31_t)0xe3f901ba,
+    (q31_t)0x7983e1e8, (q31_t)0xe3edb628, (q31_t)0x797e5dc6, (q31_t)0xe3e26bac,
+    (q31_t)0x7978d76c, (q31_t)0xe3d72245, (q31_t)0x79734edc, (q31_t)0xe3cbd9f4,
+    (q31_t)0x796dc414, (q31_t)0xe3c092b9, (q31_t)0x79683715, (q31_t)0xe3b54c95,
+    (q31_t)0x7962a7e0, (q31_t)0xe3aa0788, (q31_t)0x795d1675, (q31_t)0xe39ec393,
+    (q31_t)0x795782d3, (q31_t)0xe39380b6, (q31_t)0x7951ecfc, (q31_t)0xe3883ef2,
+    (q31_t)0x794c54ee, (q31_t)0xe37cfe47, (q31_t)0x7946baac, (q31_t)0xe371beb5,
+    (q31_t)0x79411e33, (q31_t)0xe366803c, (q31_t)0x793b7f86, (q31_t)0xe35b42df,
+    (q31_t)0x7935dea4, (q31_t)0xe350069b, (q31_t)0x79303b8e, (q31_t)0xe344cb73,
+    (q31_t)0x792a9642, (q31_t)0xe3399167, (q31_t)0x7924eec3, (q31_t)0xe32e5876,
+    (q31_t)0x791f4510, (q31_t)0xe32320a2, (q31_t)0x79199929, (q31_t)0xe317e9eb,
+    (q31_t)0x7913eb0e, (q31_t)0xe30cb451, (q31_t)0x790e3ac0, (q31_t)0xe3017fd5,
+    (q31_t)0x7908883f, (q31_t)0xe2f64c77, (q31_t)0x7902d38b, (q31_t)0xe2eb1a37,
+    (q31_t)0x78fd1ca4, (q31_t)0xe2dfe917, (q31_t)0x78f7638b, (q31_t)0xe2d4b916,
+    (q31_t)0x78f1a840, (q31_t)0xe2c98a35, (q31_t)0x78ebeac2, (q31_t)0xe2be5c74,
+    (q31_t)0x78e62b13, (q31_t)0xe2b32fd4, (q31_t)0x78e06932, (q31_t)0xe2a80456,
+    (q31_t)0x78daa520, (q31_t)0xe29cd9f8, (q31_t)0x78d4dedd, (q31_t)0xe291b0bd,
+    (q31_t)0x78cf1669, (q31_t)0xe28688a4, (q31_t)0x78c94bc4, (q31_t)0xe27b61af,
+    (q31_t)0x78c37eef, (q31_t)0xe2703bdc, (q31_t)0x78bdafea, (q31_t)0xe265172e,
+    (q31_t)0x78b7deb4, (q31_t)0xe259f3a3, (q31_t)0x78b20b4f, (q31_t)0xe24ed13d,
+    (q31_t)0x78ac35ba, (q31_t)0xe243affc, (q31_t)0x78a65df6, (q31_t)0xe2388fe1,
+    (q31_t)0x78a08402, (q31_t)0xe22d70eb, (q31_t)0x789aa7e0, (q31_t)0xe222531c,
+    (q31_t)0x7894c98f, (q31_t)0xe2173674, (q31_t)0x788ee910, (q31_t)0xe20c1af3,
+    (q31_t)0x78890663, (q31_t)0xe2010099, (q31_t)0x78832187, (q31_t)0xe1f5e768,
+    (q31_t)0x787d3a7e, (q31_t)0xe1eacf5f, (q31_t)0x78775147, (q31_t)0xe1dfb87f,
+    (q31_t)0x787165e3, (q31_t)0xe1d4a2c8, (q31_t)0x786b7852, (q31_t)0xe1c98e3b,
+    (q31_t)0x78658894, (q31_t)0xe1be7ad8, (q31_t)0x785f96a9, (q31_t)0xe1b368a0,
+    (q31_t)0x7859a292, (q31_t)0xe1a85793, (q31_t)0x7853ac4f, (q31_t)0xe19d47b1,
+    (q31_t)0x784db3e0, (q31_t)0xe19238fb, (q31_t)0x7847b946, (q31_t)0xe1872b72,
+    (q31_t)0x7841bc7f, (q31_t)0xe17c1f15, (q31_t)0x783bbd8e, (q31_t)0xe17113e5,
+    (q31_t)0x7835bc71, (q31_t)0xe16609e3, (q31_t)0x782fb92a, (q31_t)0xe15b0110,
+    (q31_t)0x7829b3b9, (q31_t)0xe14ff96a, (q31_t)0x7823ac1d, (q31_t)0xe144f2f3,
+    (q31_t)0x781da256, (q31_t)0xe139edac, (q31_t)0x78179666, (q31_t)0xe12ee995,
+    (q31_t)0x7811884d, (q31_t)0xe123e6ad, (q31_t)0x780b780a, (q31_t)0xe118e4f6,
+    (q31_t)0x7805659e, (q31_t)0xe10de470, (q31_t)0x77ff5109, (q31_t)0xe102e51c,
+    (q31_t)0x77f93a4b, (q31_t)0xe0f7e6f9, (q31_t)0x77f32165, (q31_t)0xe0ecea09,
+    (q31_t)0x77ed0657, (q31_t)0xe0e1ee4b, (q31_t)0x77e6e921, (q31_t)0xe0d6f3c1,
+    (q31_t)0x77e0c9c3, (q31_t)0xe0cbfa6a, (q31_t)0x77daa83d, (q31_t)0xe0c10247,
+    (q31_t)0x77d48490, (q31_t)0xe0b60b58, (q31_t)0x77ce5ebd, (q31_t)0xe0ab159e,
+    (q31_t)0x77c836c2, (q31_t)0xe0a0211a, (q31_t)0x77c20ca1, (q31_t)0xe0952dcb,
+    (q31_t)0x77bbe05a, (q31_t)0xe08a3bb2, (q31_t)0x77b5b1ec, (q31_t)0xe07f4acf,
+    (q31_t)0x77af8159, (q31_t)0xe0745b24, (q31_t)0x77a94ea0, (q31_t)0xe0696cb0,
+    (q31_t)0x77a319c2, (q31_t)0xe05e7f74, (q31_t)0x779ce2be, (q31_t)0xe053936f,
+    (q31_t)0x7796a996, (q31_t)0xe048a8a4, (q31_t)0x77906e49, (q31_t)0xe03dbf11,
+    (q31_t)0x778a30d8, (q31_t)0xe032d6b8, (q31_t)0x7783f143, (q31_t)0xe027ef99,
+    (q31_t)0x777daf89, (q31_t)0xe01d09b4, (q31_t)0x77776bac, (q31_t)0xe012250a,
+    (q31_t)0x777125ac, (q31_t)0xe007419b, (q31_t)0x776add88, (q31_t)0xdffc5f67,
+    (q31_t)0x77649341, (q31_t)0xdff17e70, (q31_t)0x775e46d8, (q31_t)0xdfe69eb4,
+    (q31_t)0x7757f84c, (q31_t)0xdfdbc036, (q31_t)0x7751a79e, (q31_t)0xdfd0e2f5,
+    (q31_t)0x774b54ce, (q31_t)0xdfc606f1, (q31_t)0x7744ffdd, (q31_t)0xdfbb2c2c,
+    (q31_t)0x773ea8ca, (q31_t)0xdfb052a5, (q31_t)0x77384f95, (q31_t)0xdfa57a5d,
+    (q31_t)0x7731f440, (q31_t)0xdf9aa354, (q31_t)0x772b96ca, (q31_t)0xdf8fcd8b,
+    (q31_t)0x77253733, (q31_t)0xdf84f902, (q31_t)0x771ed57c, (q31_t)0xdf7a25ba,
+    (q31_t)0x771871a5, (q31_t)0xdf6f53b3, (q31_t)0x77120bae, (q31_t)0xdf6482ed,
+    (q31_t)0x770ba398, (q31_t)0xdf59b369, (q31_t)0x77053962, (q31_t)0xdf4ee527,
+    (q31_t)0x76fecd0e, (q31_t)0xdf441828, (q31_t)0x76f85e9a, (q31_t)0xdf394c6b,
+    (q31_t)0x76f1ee09, (q31_t)0xdf2e81f3, (q31_t)0x76eb7b58, (q31_t)0xdf23b8be,
+    (q31_t)0x76e5068a, (q31_t)0xdf18f0ce, (q31_t)0x76de8f9e, (q31_t)0xdf0e2a22,
+    (q31_t)0x76d81695, (q31_t)0xdf0364bc, (q31_t)0x76d19b6e, (q31_t)0xdef8a09b,
+    (q31_t)0x76cb1e2a, (q31_t)0xdeedddc0, (q31_t)0x76c49ec9, (q31_t)0xdee31c2b,
+    (q31_t)0x76be1d4c, (q31_t)0xded85bdd, (q31_t)0x76b799b3, (q31_t)0xdecd9cd7,
+    (q31_t)0x76b113fd, (q31_t)0xdec2df18, (q31_t)0x76aa8c2c, (q31_t)0xdeb822a1,
+    (q31_t)0x76a4023f, (q31_t)0xdead6773, (q31_t)0x769d7637, (q31_t)0xdea2ad8d,
+    (q31_t)0x7696e814, (q31_t)0xde97f4f1, (q31_t)0x769057d6, (q31_t)0xde8d3d9e,
+    (q31_t)0x7689c57d, (q31_t)0xde828796, (q31_t)0x7683310b, (q31_t)0xde77d2d8,
+    (q31_t)0x767c9a7e, (q31_t)0xde6d1f65, (q31_t)0x767601d7, (q31_t)0xde626d3e,
+    (q31_t)0x766f6717, (q31_t)0xde57bc62, (q31_t)0x7668ca3e, (q31_t)0xde4d0cd2,
+    (q31_t)0x76622b4c, (q31_t)0xde425e8f, (q31_t)0x765b8a41, (q31_t)0xde37b199,
+    (q31_t)0x7654e71d, (q31_t)0xde2d05f1, (q31_t)0x764e41e2, (q31_t)0xde225b96,
+    (q31_t)0x76479a8e, (q31_t)0xde17b28a, (q31_t)0x7640f123, (q31_t)0xde0d0acc,
+    (q31_t)0x763a45a0, (q31_t)0xde02645d, (q31_t)0x76339806, (q31_t)0xddf7bf3e,
+    (q31_t)0x762ce855, (q31_t)0xdded1b6e, (q31_t)0x7626368d, (q31_t)0xdde278ef,
+    (q31_t)0x761f82af, (q31_t)0xddd7d7c1, (q31_t)0x7618ccba, (q31_t)0xddcd37e4,
+    (q31_t)0x761214b0, (q31_t)0xddc29958, (q31_t)0x760b5a90, (q31_t)0xddb7fc1e,
+    (q31_t)0x76049e5b, (q31_t)0xddad6036, (q31_t)0x75fde011, (q31_t)0xdda2c5a2,
+    (q31_t)0x75f71fb1, (q31_t)0xdd982c60, (q31_t)0x75f05d3d, (q31_t)0xdd8d9472,
+    (q31_t)0x75e998b5, (q31_t)0xdd82fdd8, (q31_t)0x75e2d219, (q31_t)0xdd786892,
+    (q31_t)0x75dc0968, (q31_t)0xdd6dd4a2, (q31_t)0x75d53ea5, (q31_t)0xdd634206,
+    (q31_t)0x75ce71ce, (q31_t)0xdd58b0c0, (q31_t)0x75c7a2e3, (q31_t)0xdd4e20d0,
+    (q31_t)0x75c0d1e7, (q31_t)0xdd439236, (q31_t)0x75b9fed7, (q31_t)0xdd3904f4,
+    (q31_t)0x75b329b5, (q31_t)0xdd2e7908, (q31_t)0x75ac5282, (q31_t)0xdd23ee74,
+    (q31_t)0x75a5793c, (q31_t)0xdd196538, (q31_t)0x759e9de5, (q31_t)0xdd0edd55,
+    (q31_t)0x7597c07d, (q31_t)0xdd0456ca, (q31_t)0x7590e104, (q31_t)0xdcf9d199,
+    (q31_t)0x7589ff7a, (q31_t)0xdcef4dc2, (q31_t)0x75831be0, (q31_t)0xdce4cb44,
+    (q31_t)0x757c3636, (q31_t)0xdcda4a21, (q31_t)0x75754e7c, (q31_t)0xdccfca59,
+    (q31_t)0x756e64b2, (q31_t)0xdcc54bec, (q31_t)0x756778d9, (q31_t)0xdcbacedb,
+    (q31_t)0x75608af1, (q31_t)0xdcb05326, (q31_t)0x75599afa, (q31_t)0xdca5d8cd,
+    (q31_t)0x7552a8f4, (q31_t)0xdc9b5fd2, (q31_t)0x754bb4e1, (q31_t)0xdc90e834,
+    (q31_t)0x7544bebf, (q31_t)0xdc8671f3, (q31_t)0x753dc68f, (q31_t)0xdc7bfd11,
+    (q31_t)0x7536cc52, (q31_t)0xdc71898d, (q31_t)0x752fd008, (q31_t)0xdc671768,
+    (q31_t)0x7528d1b1, (q31_t)0xdc5ca6a2, (q31_t)0x7521d14d, (q31_t)0xdc52373c,
+    (q31_t)0x751acedd, (q31_t)0xdc47c936, (q31_t)0x7513ca60, (q31_t)0xdc3d5c91,
+    (q31_t)0x750cc3d8, (q31_t)0xdc32f14d, (q31_t)0x7505bb44, (q31_t)0xdc28876a,
+    (q31_t)0x74feb0a5, (q31_t)0xdc1e1ee9, (q31_t)0x74f7a3fb, (q31_t)0xdc13b7c9,
+    (q31_t)0x74f09546, (q31_t)0xdc09520d, (q31_t)0x74e98487, (q31_t)0xdbfeedb3,
+    (q31_t)0x74e271bd, (q31_t)0xdbf48abd, (q31_t)0x74db5cea, (q31_t)0xdbea292b,
+    (q31_t)0x74d4460c, (q31_t)0xdbdfc8fc, (q31_t)0x74cd2d26, (q31_t)0xdbd56a32,
+    (q31_t)0x74c61236, (q31_t)0xdbcb0cce, (q31_t)0x74bef53d, (q31_t)0xdbc0b0ce,
+    (q31_t)0x74b7d63c, (q31_t)0xdbb65634, (q31_t)0x74b0b533, (q31_t)0xdbabfd01,
+    (q31_t)0x74a99221, (q31_t)0xdba1a534, (q31_t)0x74a26d08, (q31_t)0xdb974ece,
+    (q31_t)0x749b45e7, (q31_t)0xdb8cf9cf, (q31_t)0x74941cbf, (q31_t)0xdb82a638,
+    (q31_t)0x748cf190, (q31_t)0xdb785409, (q31_t)0x7485c45b, (q31_t)0xdb6e0342,
+    (q31_t)0x747e951f, (q31_t)0xdb63b3e5, (q31_t)0x747763dd, (q31_t)0xdb5965f1,
+    (q31_t)0x74703095, (q31_t)0xdb4f1967, (q31_t)0x7468fb47, (q31_t)0xdb44ce46,
+    (q31_t)0x7461c3f5, (q31_t)0xdb3a8491, (q31_t)0x745a8a9d, (q31_t)0xdb303c46,
+    (q31_t)0x74534f41, (q31_t)0xdb25f566, (q31_t)0x744c11e0, (q31_t)0xdb1baff2,
+    (q31_t)0x7444d27b, (q31_t)0xdb116beb, (q31_t)0x743d9112, (q31_t)0xdb072950,
+    (q31_t)0x74364da6, (q31_t)0xdafce821, (q31_t)0x742f0836, (q31_t)0xdaf2a860,
+    (q31_t)0x7427c0c3, (q31_t)0xdae86a0d, (q31_t)0x7420774d, (q31_t)0xdade2d28,
+    (q31_t)0x74192bd5, (q31_t)0xdad3f1b1, (q31_t)0x7411de5b, (q31_t)0xdac9b7a9,
+    (q31_t)0x740a8edf, (q31_t)0xdabf7f11, (q31_t)0x74033d61, (q31_t)0xdab547e8,
+    (q31_t)0x73fbe9e2, (q31_t)0xdaab122f, (q31_t)0x73f49462, (q31_t)0xdaa0dde7,
+    (q31_t)0x73ed3ce1, (q31_t)0xda96ab0f, (q31_t)0x73e5e360, (q31_t)0xda8c79a9,
+    (q31_t)0x73de87de, (q31_t)0xda8249b4, (q31_t)0x73d72a5d, (q31_t)0xda781b31,
+    (q31_t)0x73cfcadc, (q31_t)0xda6dee21, (q31_t)0x73c8695b, (q31_t)0xda63c284,
+    (q31_t)0x73c105db, (q31_t)0xda599859, (q31_t)0x73b9a05d, (q31_t)0xda4f6fa3,
+    (q31_t)0x73b238e0, (q31_t)0xda454860, (q31_t)0x73aacf65, (q31_t)0xda3b2292,
+    (q31_t)0x73a363ec, (q31_t)0xda30fe38, (q31_t)0x739bf675, (q31_t)0xda26db54,
+    (q31_t)0x73948701, (q31_t)0xda1cb9e5, (q31_t)0x738d1590, (q31_t)0xda1299ec,
+    (q31_t)0x7385a222, (q31_t)0xda087b69, (q31_t)0x737e2cb7, (q31_t)0xd9fe5e5e,
+    (q31_t)0x7376b551, (q31_t)0xd9f442c9, (q31_t)0x736f3bee, (q31_t)0xd9ea28ac,
+    (q31_t)0x7367c090, (q31_t)0xd9e01006, (q31_t)0x73604336, (q31_t)0xd9d5f8d9,
+    (q31_t)0x7358c3e2, (q31_t)0xd9cbe325, (q31_t)0x73514292, (q31_t)0xd9c1cee9,
+    (q31_t)0x7349bf48, (q31_t)0xd9b7bc27, (q31_t)0x73423a04, (q31_t)0xd9adaadf,
+    (q31_t)0x733ab2c6, (q31_t)0xd9a39b11, (q31_t)0x7333298f, (q31_t)0xd9998cbe,
+    (q31_t)0x732b9e5e, (q31_t)0xd98f7fe6, (q31_t)0x73241134, (q31_t)0xd9857489,
+    (q31_t)0x731c8211, (q31_t)0xd97b6aa8, (q31_t)0x7314f0f6, (q31_t)0xd9716243,
+    (q31_t)0x730d5de3, (q31_t)0xd9675b5a, (q31_t)0x7305c8d7, (q31_t)0xd95d55ef,
+    (q31_t)0x72fe31d5, (q31_t)0xd9535201, (q31_t)0x72f698db, (q31_t)0xd9494f90,
+    (q31_t)0x72eefdea, (q31_t)0xd93f4e9e, (q31_t)0x72e76102, (q31_t)0xd9354f2a,
+    (q31_t)0x72dfc224, (q31_t)0xd92b5135, (q31_t)0x72d82150, (q31_t)0xd92154bf,
+    (q31_t)0x72d07e85, (q31_t)0xd91759c9, (q31_t)0x72c8d9c6, (q31_t)0xd90d6053,
+    (q31_t)0x72c13311, (q31_t)0xd903685d, (q31_t)0x72b98a67, (q31_t)0xd8f971e8,
+    (q31_t)0x72b1dfc9, (q31_t)0xd8ef7cf4, (q31_t)0x72aa3336, (q31_t)0xd8e58982,
+    (q31_t)0x72a284b0, (q31_t)0xd8db9792, (q31_t)0x729ad435, (q31_t)0xd8d1a724,
+    (q31_t)0x729321c7, (q31_t)0xd8c7b838, (q31_t)0x728b6d66, (q31_t)0xd8bdcad0,
+    (q31_t)0x7283b712, (q31_t)0xd8b3deeb, (q31_t)0x727bfecc, (q31_t)0xd8a9f48a,
+    (q31_t)0x72744493, (q31_t)0xd8a00bae, (q31_t)0x726c8868, (q31_t)0xd8962456,
+    (q31_t)0x7264ca4c, (q31_t)0xd88c3e83, (q31_t)0x725d0a3e, (q31_t)0xd8825a35,
+    (q31_t)0x72554840, (q31_t)0xd878776d, (q31_t)0x724d8450, (q31_t)0xd86e962b,
+    (q31_t)0x7245be70, (q31_t)0xd864b670, (q31_t)0x723df6a0, (q31_t)0xd85ad83c,
+    (q31_t)0x72362ce0, (q31_t)0xd850fb8e, (q31_t)0x722e6130, (q31_t)0xd8472069,
+    (q31_t)0x72269391, (q31_t)0xd83d46cc, (q31_t)0x721ec403, (q31_t)0xd8336eb7,
+    (q31_t)0x7216f287, (q31_t)0xd829982b, (q31_t)0x720f1f1c, (q31_t)0xd81fc328,
+    (q31_t)0x720749c3, (q31_t)0xd815efae, (q31_t)0x71ff727c, (q31_t)0xd80c1dbf,
+    (q31_t)0x71f79948, (q31_t)0xd8024d59, (q31_t)0x71efbe27, (q31_t)0xd7f87e7f,
+    (q31_t)0x71e7e118, (q31_t)0xd7eeb130, (q31_t)0x71e0021e, (q31_t)0xd7e4e56c,
+    (q31_t)0x71d82137, (q31_t)0xd7db1b34, (q31_t)0x71d03e64, (q31_t)0xd7d15288,
+    (q31_t)0x71c859a5, (q31_t)0xd7c78b68, (q31_t)0x71c072fb, (q31_t)0xd7bdc5d6,
+    (q31_t)0x71b88a66, (q31_t)0xd7b401d1, (q31_t)0x71b09fe7, (q31_t)0xd7aa3f5a,
+    (q31_t)0x71a8b37c, (q31_t)0xd7a07e70, (q31_t)0x71a0c528, (q31_t)0xd796bf16,
+    (q31_t)0x7198d4ea, (q31_t)0xd78d014a, (q31_t)0x7190e2c3, (q31_t)0xd783450d,
+    (q31_t)0x7188eeb2, (q31_t)0xd7798a60, (q31_t)0x7180f8b8, (q31_t)0xd76fd143,
+    (q31_t)0x717900d6, (q31_t)0xd76619b6, (q31_t)0x7171070c, (q31_t)0xd75c63ba,
+    (q31_t)0x71690b59, (q31_t)0xd752af4f, (q31_t)0x71610dbf, (q31_t)0xd748fc75,
+    (q31_t)0x71590e3e, (q31_t)0xd73f4b2e, (q31_t)0x71510cd5, (q31_t)0xd7359b78,
+    (q31_t)0x71490986, (q31_t)0xd72bed55, (q31_t)0x71410450, (q31_t)0xd72240c5,
+    (q31_t)0x7138fd35, (q31_t)0xd71895c9, (q31_t)0x7130f433, (q31_t)0xd70eec60,
+    (q31_t)0x7128e94c, (q31_t)0xd705448b, (q31_t)0x7120dc80, (q31_t)0xd6fb9e4b,
+    (q31_t)0x7118cdcf, (q31_t)0xd6f1f99f, (q31_t)0x7110bd39, (q31_t)0xd6e85689,
+    (q31_t)0x7108aabf, (q31_t)0xd6deb508, (q31_t)0x71009661, (q31_t)0xd6d5151d,
+    (q31_t)0x70f8801f, (q31_t)0xd6cb76c9, (q31_t)0x70f067fb, (q31_t)0xd6c1da0b,
+    (q31_t)0x70e84df3, (q31_t)0xd6b83ee4, (q31_t)0x70e03208, (q31_t)0xd6aea555,
+    (q31_t)0x70d8143b, (q31_t)0xd6a50d5d, (q31_t)0x70cff48c, (q31_t)0xd69b76fe,
+    (q31_t)0x70c7d2fb, (q31_t)0xd691e237, (q31_t)0x70bfaf89, (q31_t)0xd6884f09,
+    (q31_t)0x70b78a36, (q31_t)0xd67ebd74, (q31_t)0x70af6302, (q31_t)0xd6752d79,
+    (q31_t)0x70a739ed, (q31_t)0xd66b9f18, (q31_t)0x709f0ef8, (q31_t)0xd6621251,
+    (q31_t)0x7096e223, (q31_t)0xd6588725, (q31_t)0x708eb36f, (q31_t)0xd64efd94,
+    (q31_t)0x708682dc, (q31_t)0xd645759f, (q31_t)0x707e5069, (q31_t)0xd63bef46,
+    (q31_t)0x70761c18, (q31_t)0xd6326a88, (q31_t)0x706de5e9, (q31_t)0xd628e767,
+    (q31_t)0x7065addb, (q31_t)0xd61f65e4, (q31_t)0x705d73f0, (q31_t)0xd615e5fd,
+    (q31_t)0x70553828, (q31_t)0xd60c67b4, (q31_t)0x704cfa83, (q31_t)0xd602eb0a,
+    (q31_t)0x7044bb00, (q31_t)0xd5f96ffd, (q31_t)0x703c79a2, (q31_t)0xd5eff690,
+    (q31_t)0x70343667, (q31_t)0xd5e67ec1, (q31_t)0x702bf151, (q31_t)0xd5dd0892,
+    (q31_t)0x7023aa5f, (q31_t)0xd5d39403, (q31_t)0x701b6193, (q31_t)0xd5ca2115,
+    (q31_t)0x701316eb, (q31_t)0xd5c0afc6, (q31_t)0x700aca69, (q31_t)0xd5b74019,
+    (q31_t)0x70027c0c, (q31_t)0xd5add20d, (q31_t)0x6ffa2bd6, (q31_t)0xd5a465a3,
+    (q31_t)0x6ff1d9c7, (q31_t)0xd59afadb, (q31_t)0x6fe985de, (q31_t)0xd59191b5,
+    (q31_t)0x6fe1301c, (q31_t)0xd5882a32, (q31_t)0x6fd8d882, (q31_t)0xd57ec452,
+    (q31_t)0x6fd07f0f, (q31_t)0xd5756016, (q31_t)0x6fc823c5, (q31_t)0xd56bfd7d,
+    (q31_t)0x6fbfc6a3, (q31_t)0xd5629c89, (q31_t)0x6fb767aa, (q31_t)0xd5593d3a,
+    (q31_t)0x6faf06da, (q31_t)0xd54fdf8f, (q31_t)0x6fa6a433, (q31_t)0xd5468389,
+    (q31_t)0x6f9e3fb6, (q31_t)0xd53d292a, (q31_t)0x6f95d963, (q31_t)0xd533d070,
+    (q31_t)0x6f8d713a, (q31_t)0xd52a795d, (q31_t)0x6f85073c, (q31_t)0xd52123f0,
+    (q31_t)0x6f7c9b69, (q31_t)0xd517d02b, (q31_t)0x6f742dc1, (q31_t)0xd50e7e0d,
+    (q31_t)0x6f6bbe45, (q31_t)0xd5052d97, (q31_t)0x6f634cf5, (q31_t)0xd4fbdec9,
+    (q31_t)0x6f5ad9d1, (q31_t)0xd4f291a4, (q31_t)0x6f5264da, (q31_t)0xd4e94627,
+    (q31_t)0x6f49ee0f, (q31_t)0xd4dffc54, (q31_t)0x6f417573, (q31_t)0xd4d6b42b,
+    (q31_t)0x6f38fb03, (q31_t)0xd4cd6dab, (q31_t)0x6f307ec2, (q31_t)0xd4c428d6,
+    (q31_t)0x6f2800af, (q31_t)0xd4bae5ab, (q31_t)0x6f1f80ca, (q31_t)0xd4b1a42c,
+    (q31_t)0x6f16ff14, (q31_t)0xd4a86458, (q31_t)0x6f0e7b8e, (q31_t)0xd49f2630,
+    (q31_t)0x6f05f637, (q31_t)0xd495e9b3, (q31_t)0x6efd6f10, (q31_t)0xd48caee4,
+    (q31_t)0x6ef4e619, (q31_t)0xd48375c1, (q31_t)0x6eec5b53, (q31_t)0xd47a3e4b,
+    (q31_t)0x6ee3cebe, (q31_t)0xd4710883, (q31_t)0x6edb405a, (q31_t)0xd467d469,
+    (q31_t)0x6ed2b027, (q31_t)0xd45ea1fd, (q31_t)0x6eca1e27, (q31_t)0xd4557140,
+    (q31_t)0x6ec18a58, (q31_t)0xd44c4232, (q31_t)0x6eb8f4bc, (q31_t)0xd44314d3,
+    (q31_t)0x6eb05d53, (q31_t)0xd439e923, (q31_t)0x6ea7c41e, (q31_t)0xd430bf24,
+    (q31_t)0x6e9f291b, (q31_t)0xd42796d5, (q31_t)0x6e968c4d, (q31_t)0xd41e7037,
+    (q31_t)0x6e8dedb3, (q31_t)0xd4154b4a, (q31_t)0x6e854d4d, (q31_t)0xd40c280e,
+    (q31_t)0x6e7cab1c, (q31_t)0xd4030684, (q31_t)0x6e740720, (q31_t)0xd3f9e6ad,
+    (q31_t)0x6e6b615a, (q31_t)0xd3f0c887, (q31_t)0x6e62b9ca, (q31_t)0xd3e7ac15,
+    (q31_t)0x6e5a1070, (q31_t)0xd3de9156, (q31_t)0x6e51654c, (q31_t)0xd3d5784a,
+    (q31_t)0x6e48b860, (q31_t)0xd3cc60f2, (q31_t)0x6e4009aa, (q31_t)0xd3c34b4f,
+    (q31_t)0x6e37592c, (q31_t)0xd3ba3760, (q31_t)0x6e2ea6e6, (q31_t)0xd3b12526,
+    (q31_t)0x6e25f2d8, (q31_t)0xd3a814a2, (q31_t)0x6e1d3d03, (q31_t)0xd39f05d3,
+    (q31_t)0x6e148566, (q31_t)0xd395f8ba, (q31_t)0x6e0bcc03, (q31_t)0xd38ced57,
+    (q31_t)0x6e0310d9, (q31_t)0xd383e3ab, (q31_t)0x6dfa53e9, (q31_t)0xd37adbb6,
+    (q31_t)0x6df19534, (q31_t)0xd371d579, (q31_t)0x6de8d4b8, (q31_t)0xd368d0f3,
+    (q31_t)0x6de01278, (q31_t)0xd35fce26, (q31_t)0x6dd74e73, (q31_t)0xd356cd11,
+    (q31_t)0x6dce88aa, (q31_t)0xd34dcdb4, (q31_t)0x6dc5c11c, (q31_t)0xd344d011,
+    (q31_t)0x6dbcf7cb, (q31_t)0xd33bd427, (q31_t)0x6db42cb6, (q31_t)0xd332d9f7,
+    (q31_t)0x6dab5fdf, (q31_t)0xd329e181, (q31_t)0x6da29144, (q31_t)0xd320eac6,
+    (q31_t)0x6d99c0e7, (q31_t)0xd317f5c6, (q31_t)0x6d90eec8, (q31_t)0xd30f0280,
+    (q31_t)0x6d881ae8, (q31_t)0xd30610f7, (q31_t)0x6d7f4545, (q31_t)0xd2fd2129,
+    (q31_t)0x6d766de2, (q31_t)0xd2f43318, (q31_t)0x6d6d94bf, (q31_t)0xd2eb46c3,
+    (q31_t)0x6d64b9da, (q31_t)0xd2e25c2b, (q31_t)0x6d5bdd36, (q31_t)0xd2d97350,
+    (q31_t)0x6d52fed2, (q31_t)0xd2d08c33, (q31_t)0x6d4a1eaf, (q31_t)0xd2c7a6d4,
+    (q31_t)0x6d413ccd, (q31_t)0xd2bec333, (q31_t)0x6d38592c, (q31_t)0xd2b5e151,
+    (q31_t)0x6d2f73cd, (q31_t)0xd2ad012e, (q31_t)0x6d268cb0, (q31_t)0xd2a422ca,
+    (q31_t)0x6d1da3d5, (q31_t)0xd29b4626, (q31_t)0x6d14b93d, (q31_t)0xd2926b41,
+    (q31_t)0x6d0bcce8, (q31_t)0xd289921e, (q31_t)0x6d02ded7, (q31_t)0xd280babb,
+    (q31_t)0x6cf9ef09, (q31_t)0xd277e518, (q31_t)0x6cf0fd80, (q31_t)0xd26f1138,
+    (q31_t)0x6ce80a3a, (q31_t)0xd2663f19, (q31_t)0x6cdf153a, (q31_t)0xd25d6ebc,
+    (q31_t)0x6cd61e7f, (q31_t)0xd254a021, (q31_t)0x6ccd2609, (q31_t)0xd24bd34a,
+    (q31_t)0x6cc42bd9, (q31_t)0xd2430835, (q31_t)0x6cbb2fef, (q31_t)0xd23a3ee4,
+    (q31_t)0x6cb2324c, (q31_t)0xd2317756, (q31_t)0x6ca932ef, (q31_t)0xd228b18d,
+    (q31_t)0x6ca031da, (q31_t)0xd21fed88, (q31_t)0x6c972f0d, (q31_t)0xd2172b48,
+    (q31_t)0x6c8e2a87, (q31_t)0xd20e6acc, (q31_t)0x6c85244a, (q31_t)0xd205ac17,
+    (q31_t)0x6c7c1c55, (q31_t)0xd1fcef27, (q31_t)0x6c7312a9, (q31_t)0xd1f433fd,
+    (q31_t)0x6c6a0746, (q31_t)0xd1eb7a9a, (q31_t)0x6c60fa2d, (q31_t)0xd1e2c2fd,
+    (q31_t)0x6c57eb5e, (q31_t)0xd1da0d28, (q31_t)0x6c4edada, (q31_t)0xd1d1591a,
+    (q31_t)0x6c45c8a0, (q31_t)0xd1c8a6d4, (q31_t)0x6c3cb4b1, (q31_t)0xd1bff656,
+    (q31_t)0x6c339f0e, (q31_t)0xd1b747a0, (q31_t)0x6c2a87b6, (q31_t)0xd1ae9ab4,
+    (q31_t)0x6c216eaa, (q31_t)0xd1a5ef90, (q31_t)0x6c1853eb, (q31_t)0xd19d4636,
+    (q31_t)0x6c0f3779, (q31_t)0xd1949ea6, (q31_t)0x6c061953, (q31_t)0xd18bf8e0,
+    (q31_t)0x6bfcf97c, (q31_t)0xd18354e4, (q31_t)0x6bf3d7f2, (q31_t)0xd17ab2b3,
+    (q31_t)0x6beab4b6, (q31_t)0xd172124d, (q31_t)0x6be18fc9, (q31_t)0xd16973b3,
+    (q31_t)0x6bd8692b, (q31_t)0xd160d6e5, (q31_t)0x6bcf40dc, (q31_t)0xd1583be2,
+    (q31_t)0x6bc616dd, (q31_t)0xd14fa2ad, (q31_t)0x6bbceb2d, (q31_t)0xd1470b44,
+    (q31_t)0x6bb3bdce, (q31_t)0xd13e75a8, (q31_t)0x6baa8ec0, (q31_t)0xd135e1d9,
+    (q31_t)0x6ba15e03, (q31_t)0xd12d4fd9, (q31_t)0x6b982b97, (q31_t)0xd124bfa6,
+    (q31_t)0x6b8ef77d, (q31_t)0xd11c3142, (q31_t)0x6b85c1b5, (q31_t)0xd113a4ad,
+    (q31_t)0x6b7c8a3f, (q31_t)0xd10b19e7, (q31_t)0x6b73511c, (q31_t)0xd10290f0,
+    (q31_t)0x6b6a164d, (q31_t)0xd0fa09c9, (q31_t)0x6b60d9d0, (q31_t)0xd0f18472,
+    (q31_t)0x6b579ba8, (q31_t)0xd0e900ec, (q31_t)0x6b4e5bd4, (q31_t)0xd0e07f36,
+    (q31_t)0x6b451a55, (q31_t)0xd0d7ff51, (q31_t)0x6b3bd72a, (q31_t)0xd0cf813e,
+    (q31_t)0x6b329255, (q31_t)0xd0c704fd, (q31_t)0x6b294bd5, (q31_t)0xd0be8a8d,
+    (q31_t)0x6b2003ac, (q31_t)0xd0b611f1, (q31_t)0x6b16b9d9, (q31_t)0xd0ad9b26,
+    (q31_t)0x6b0d6e5c, (q31_t)0xd0a5262f, (q31_t)0x6b042137, (q31_t)0xd09cb30b,
+    (q31_t)0x6afad269, (q31_t)0xd09441bb, (q31_t)0x6af181f3, (q31_t)0xd08bd23f,
+    (q31_t)0x6ae82fd5, (q31_t)0xd0836497, (q31_t)0x6adedc10, (q31_t)0xd07af8c4,
+    (q31_t)0x6ad586a3, (q31_t)0xd0728ec6, (q31_t)0x6acc2f90, (q31_t)0xd06a269d,
+    (q31_t)0x6ac2d6d6, (q31_t)0xd061c04a, (q31_t)0x6ab97c77, (q31_t)0xd0595bcd,
+    (q31_t)0x6ab02071, (q31_t)0xd050f926, (q31_t)0x6aa6c2c6, (q31_t)0xd0489856,
+    (q31_t)0x6a9d6377, (q31_t)0xd040395d, (q31_t)0x6a940283, (q31_t)0xd037dc3b,
+    (q31_t)0x6a8a9fea, (q31_t)0xd02f80f1, (q31_t)0x6a813bae, (q31_t)0xd027277e,
+    (q31_t)0x6a77d5ce, (q31_t)0xd01ecfe4, (q31_t)0x6a6e6e4b, (q31_t)0xd0167a22,
+    (q31_t)0x6a650525, (q31_t)0xd00e2639, (q31_t)0x6a5b9a5d, (q31_t)0xd005d42a,
+    (q31_t)0x6a522df3, (q31_t)0xcffd83f4, (q31_t)0x6a48bfe7, (q31_t)0xcff53597,
+    (q31_t)0x6a3f503a, (q31_t)0xcfece915, (q31_t)0x6a35deeb, (q31_t)0xcfe49e6d,
+    (q31_t)0x6a2c6bfd, (q31_t)0xcfdc55a1, (q31_t)0x6a22f76e, (q31_t)0xcfd40eaf,
+    (q31_t)0x6a19813f, (q31_t)0xcfcbc999, (q31_t)0x6a100970, (q31_t)0xcfc3865e,
+    (q31_t)0x6a069003, (q31_t)0xcfbb4500, (q31_t)0x69fd14f6, (q31_t)0xcfb3057d,
+    (q31_t)0x69f3984c, (q31_t)0xcfaac7d8, (q31_t)0x69ea1a03, (q31_t)0xcfa28c10,
+    (q31_t)0x69e09a1c, (q31_t)0xcf9a5225, (q31_t)0x69d71899, (q31_t)0xcf921a17,
+    (q31_t)0x69cd9578, (q31_t)0xcf89e3e8, (q31_t)0x69c410ba, (q31_t)0xcf81af97,
+    (q31_t)0x69ba8a61, (q31_t)0xcf797d24, (q31_t)0x69b1026c, (q31_t)0xcf714c91,
+    (q31_t)0x69a778db, (q31_t)0xcf691ddd, (q31_t)0x699dedaf, (q31_t)0xcf60f108,
+    (q31_t)0x699460e8, (q31_t)0xcf58c613, (q31_t)0x698ad287, (q31_t)0xcf509cfe,
+    (q31_t)0x6981428c, (q31_t)0xcf4875ca, (q31_t)0x6977b0f7, (q31_t)0xcf405077,
+    (q31_t)0x696e1dc9, (q31_t)0xcf382d05, (q31_t)0x69648902, (q31_t)0xcf300b74,
+    (q31_t)0x695af2a3, (q31_t)0xcf27ebc5, (q31_t)0x69515aab, (q31_t)0xcf1fcdf8,
+    (q31_t)0x6947c11c, (q31_t)0xcf17b20d, (q31_t)0x693e25f5, (q31_t)0xcf0f9805,
+    (q31_t)0x69348937, (q31_t)0xcf077fe1, (q31_t)0x692aeae3, (q31_t)0xceff699f,
+    (q31_t)0x69214af8, (q31_t)0xcef75541, (q31_t)0x6917a977, (q31_t)0xceef42c7,
+    (q31_t)0x690e0661, (q31_t)0xcee73231, (q31_t)0x690461b5, (q31_t)0xcedf2380,
+    (q31_t)0x68fabb75, (q31_t)0xced716b4, (q31_t)0x68f113a0, (q31_t)0xcecf0bcd,
+    (q31_t)0x68e76a37, (q31_t)0xcec702cb, (q31_t)0x68ddbf3b, (q31_t)0xcebefbb0,
+    (q31_t)0x68d412ab, (q31_t)0xceb6f67a, (q31_t)0x68ca6488, (q31_t)0xceaef32b,
+    (q31_t)0x68c0b4d2, (q31_t)0xcea6f1c2, (q31_t)0x68b7038b, (q31_t)0xce9ef241,
+    (q31_t)0x68ad50b1, (q31_t)0xce96f4a7, (q31_t)0x68a39c46, (q31_t)0xce8ef8f4,
+    (q31_t)0x6899e64a, (q31_t)0xce86ff2a, (q31_t)0x68902ebd, (q31_t)0xce7f0748,
+    (q31_t)0x688675a0, (q31_t)0xce77114e, (q31_t)0x687cbaf3, (q31_t)0xce6f1d3d,
+    (q31_t)0x6872feb6, (q31_t)0xce672b16, (q31_t)0x686940ea, (q31_t)0xce5f3ad8,
+    (q31_t)0x685f8190, (q31_t)0xce574c84, (q31_t)0x6855c0a6, (q31_t)0xce4f6019,
+    (q31_t)0x684bfe2f, (q31_t)0xce47759a, (q31_t)0x68423a2a, (q31_t)0xce3f8d05,
+    (q31_t)0x68387498, (q31_t)0xce37a65b, (q31_t)0x682ead78, (q31_t)0xce2fc19c,
+    (q31_t)0x6824e4cc, (q31_t)0xce27dec9, (q31_t)0x681b1a94, (q31_t)0xce1ffde2,
+    (q31_t)0x68114ed0, (q31_t)0xce181ee8, (q31_t)0x68078181, (q31_t)0xce1041d9,
+    (q31_t)0x67fdb2a7, (q31_t)0xce0866b8, (q31_t)0x67f3e241, (q31_t)0xce008d84,
+    (q31_t)0x67ea1052, (q31_t)0xcdf8b63d, (q31_t)0x67e03cd8, (q31_t)0xcdf0e0e4,
+    (q31_t)0x67d667d5, (q31_t)0xcde90d79, (q31_t)0x67cc9149, (q31_t)0xcde13bfd,
+    (q31_t)0x67c2b934, (q31_t)0xcdd96c6f, (q31_t)0x67b8df97, (q31_t)0xcdd19ed0,
+    (q31_t)0x67af0472, (q31_t)0xcdc9d320, (q31_t)0x67a527c4, (q31_t)0xcdc20960,
+    (q31_t)0x679b4990, (q31_t)0xcdba4190, (q31_t)0x679169d5, (q31_t)0xcdb27bb0,
+    (q31_t)0x67878893, (q31_t)0xcdaab7c0, (q31_t)0x677da5cb, (q31_t)0xcda2f5c2,
+    (q31_t)0x6773c17d, (q31_t)0xcd9b35b4, (q31_t)0x6769dbaa, (q31_t)0xcd937798,
+    (q31_t)0x675ff452, (q31_t)0xcd8bbb6d, (q31_t)0x67560b76, (q31_t)0xcd840134,
+    (q31_t)0x674c2115, (q31_t)0xcd7c48ee, (q31_t)0x67423530, (q31_t)0xcd74929a,
+    (q31_t)0x673847c8, (q31_t)0xcd6cde39, (q31_t)0x672e58dc, (q31_t)0xcd652bcb,
+    (q31_t)0x6724686e, (q31_t)0xcd5d7b50, (q31_t)0x671a767e, (q31_t)0xcd55ccca,
+    (q31_t)0x6710830c, (q31_t)0xcd4e2037, (q31_t)0x67068e18, (q31_t)0xcd467599,
+    (q31_t)0x66fc97a3, (q31_t)0xcd3eccef, (q31_t)0x66f29fad, (q31_t)0xcd37263a,
+    (q31_t)0x66e8a637, (q31_t)0xcd2f817b, (q31_t)0x66deab41, (q31_t)0xcd27deb0,
+    (q31_t)0x66d4aecb, (q31_t)0xcd203ddc, (q31_t)0x66cab0d6, (q31_t)0xcd189efe,
+    (q31_t)0x66c0b162, (q31_t)0xcd110216, (q31_t)0x66b6b070, (q31_t)0xcd096725,
+    (q31_t)0x66acadff, (q31_t)0xcd01ce2b, (q31_t)0x66a2aa11, (q31_t)0xccfa3729,
+    (q31_t)0x6698a4a6, (q31_t)0xccf2a21d, (q31_t)0x668e9dbd, (q31_t)0xcceb0f0a,
+    (q31_t)0x66849558, (q31_t)0xcce37def, (q31_t)0x667a8b77, (q31_t)0xccdbeecc,
+    (q31_t)0x6670801a, (q31_t)0xccd461a2, (q31_t)0x66667342, (q31_t)0xccccd671,
+    (q31_t)0x665c64ef, (q31_t)0xccc54d3a, (q31_t)0x66525521, (q31_t)0xccbdc5fc,
+    (q31_t)0x664843d9, (q31_t)0xccb640b8, (q31_t)0x663e3117, (q31_t)0xccaebd6e,
+    (q31_t)0x66341cdb, (q31_t)0xcca73c1e, (q31_t)0x662a0727, (q31_t)0xcc9fbcca,
+    (q31_t)0x661feffa, (q31_t)0xcc983f70, (q31_t)0x6615d754, (q31_t)0xcc90c412,
+    (q31_t)0x660bbd37, (q31_t)0xcc894aaf, (q31_t)0x6601a1a2, (q31_t)0xcc81d349,
+    (q31_t)0x65f78497, (q31_t)0xcc7a5dde, (q31_t)0x65ed6614, (q31_t)0xcc72ea70,
+    (q31_t)0x65e3461b, (q31_t)0xcc6b78ff, (q31_t)0x65d924ac, (q31_t)0xcc64098b,
+    (q31_t)0x65cf01c8, (q31_t)0xcc5c9c14, (q31_t)0x65c4dd6e, (q31_t)0xcc55309b,
+    (q31_t)0x65bab7a0, (q31_t)0xcc4dc720, (q31_t)0x65b0905d, (q31_t)0xcc465fa3,
+    (q31_t)0x65a667a7, (q31_t)0xcc3efa25, (q31_t)0x659c3d7c, (q31_t)0xcc3796a5,
+    (q31_t)0x659211df, (q31_t)0xcc303524, (q31_t)0x6587e4cf, (q31_t)0xcc28d5a3,
+    (q31_t)0x657db64c, (q31_t)0xcc217822, (q31_t)0x65738657, (q31_t)0xcc1a1ca0,
+    (q31_t)0x656954f1, (q31_t)0xcc12c31f, (q31_t)0x655f2219, (q31_t)0xcc0b6b9e,
+    (q31_t)0x6554edd1, (q31_t)0xcc04161e, (q31_t)0x654ab818, (q31_t)0xcbfcc29f,
+    (q31_t)0x654080ef, (q31_t)0xcbf57121, (q31_t)0x65364857, (q31_t)0xcbee21a5,
+    (q31_t)0x652c0e4f, (q31_t)0xcbe6d42b, (q31_t)0x6521d2d8, (q31_t)0xcbdf88b3,
+    (q31_t)0x651795f3, (q31_t)0xcbd83f3d, (q31_t)0x650d57a0, (q31_t)0xcbd0f7ca,
+    (q31_t)0x650317df, (q31_t)0xcbc9b25a, (q31_t)0x64f8d6b0, (q31_t)0xcbc26eee,
+    (q31_t)0x64ee9415, (q31_t)0xcbbb2d85, (q31_t)0x64e4500e, (q31_t)0xcbb3ee20,
+    (q31_t)0x64da0a9a, (q31_t)0xcbacb0bf, (q31_t)0x64cfc3ba, (q31_t)0xcba57563,
+    (q31_t)0x64c57b6f, (q31_t)0xcb9e3c0b, (q31_t)0x64bb31ba, (q31_t)0xcb9704b9,
+    (q31_t)0x64b0e699, (q31_t)0xcb8fcf6b, (q31_t)0x64a69a0f, (q31_t)0xcb889c23,
+    (q31_t)0x649c4c1b, (q31_t)0xcb816ae1, (q31_t)0x6491fcbe, (q31_t)0xcb7a3ba5,
+    (q31_t)0x6487abf7, (q31_t)0xcb730e70, (q31_t)0x647d59c8, (q31_t)0xcb6be341,
+    (q31_t)0x64730631, (q31_t)0xcb64ba19, (q31_t)0x6468b132, (q31_t)0xcb5d92f8,
+    (q31_t)0x645e5acc, (q31_t)0xcb566ddf, (q31_t)0x645402ff, (q31_t)0xcb4f4acd,
+    (q31_t)0x6449a9cc, (q31_t)0xcb4829c4, (q31_t)0x643f4f32, (q31_t)0xcb410ac3,
+    (q31_t)0x6434f332, (q31_t)0xcb39edca, (q31_t)0x642a95ce, (q31_t)0xcb32d2da,
+    (q31_t)0x64203704, (q31_t)0xcb2bb9f4, (q31_t)0x6415d6d5, (q31_t)0xcb24a316,
+    (q31_t)0x640b7543, (q31_t)0xcb1d8e43, (q31_t)0x6401124d, (q31_t)0xcb167b79,
+    (q31_t)0x63f6adf3, (q31_t)0xcb0f6aba, (q31_t)0x63ec4837, (q31_t)0xcb085c05,
+    (q31_t)0x63e1e117, (q31_t)0xcb014f5b, (q31_t)0x63d77896, (q31_t)0xcafa44bc,
+    (q31_t)0x63cd0eb3, (q31_t)0xcaf33c28, (q31_t)0x63c2a36f, (q31_t)0xcaec35a0,
+    (q31_t)0x63b836ca, (q31_t)0xcae53123, (q31_t)0x63adc8c4, (q31_t)0xcade2eb3,
+    (q31_t)0x63a3595e, (q31_t)0xcad72e4f, (q31_t)0x6398e898, (q31_t)0xcad02ff8,
+    (q31_t)0x638e7673, (q31_t)0xcac933ae, (q31_t)0x638402ef, (q31_t)0xcac23971,
+    (q31_t)0x63798e0d, (q31_t)0xcabb4141, (q31_t)0x636f17cc, (q31_t)0xcab44b1f,
+    (q31_t)0x6364a02e, (q31_t)0xcaad570c, (q31_t)0x635a2733, (q31_t)0xcaa66506,
+    (q31_t)0x634facda, (q31_t)0xca9f750f, (q31_t)0x63453125, (q31_t)0xca988727,
+    (q31_t)0x633ab414, (q31_t)0xca919b4e, (q31_t)0x633035a7, (q31_t)0xca8ab184,
+    (q31_t)0x6325b5df, (q31_t)0xca83c9ca, (q31_t)0x631b34bc, (q31_t)0xca7ce420,
+    (q31_t)0x6310b23e, (q31_t)0xca760086, (q31_t)0x63062e67, (q31_t)0xca6f1efc,
+    (q31_t)0x62fba936, (q31_t)0xca683f83, (q31_t)0x62f122ab, (q31_t)0xca61621b,
+    (q31_t)0x62e69ac8, (q31_t)0xca5a86c4, (q31_t)0x62dc118c, (q31_t)0xca53ad7e,
+    (q31_t)0x62d186f8, (q31_t)0xca4cd64b, (q31_t)0x62c6fb0c, (q31_t)0xca460129,
+    (q31_t)0x62bc6dca, (q31_t)0xca3f2e19, (q31_t)0x62b1df30, (q31_t)0xca385d1d,
+    (q31_t)0x62a74f40, (q31_t)0xca318e32, (q31_t)0x629cbdfa, (q31_t)0xca2ac15b,
+    (q31_t)0x62922b5e, (q31_t)0xca23f698, (q31_t)0x6287976e, (q31_t)0xca1d2de7,
+    (q31_t)0x627d0228, (q31_t)0xca16674b, (q31_t)0x62726b8e, (q31_t)0xca0fa2c3,
+    (q31_t)0x6267d3a0, (q31_t)0xca08e04f, (q31_t)0x625d3a5e, (q31_t)0xca021fef,
+    (q31_t)0x62529fca, (q31_t)0xc9fb61a5, (q31_t)0x624803e2, (q31_t)0xc9f4a570,
+    (q31_t)0x623d66a8, (q31_t)0xc9edeb50, (q31_t)0x6232c81c, (q31_t)0xc9e73346,
+    (q31_t)0x6228283f, (q31_t)0xc9e07d51, (q31_t)0x621d8711, (q31_t)0xc9d9c973,
+    (q31_t)0x6212e492, (q31_t)0xc9d317ab, (q31_t)0x620840c2, (q31_t)0xc9cc67fa,
+    (q31_t)0x61fd9ba3, (q31_t)0xc9c5ba60, (q31_t)0x61f2f534, (q31_t)0xc9bf0edd,
+    (q31_t)0x61e84d76, (q31_t)0xc9b86572, (q31_t)0x61dda46a, (q31_t)0xc9b1be1e,
+    (q31_t)0x61d2fa0f, (q31_t)0xc9ab18e3, (q31_t)0x61c84e67, (q31_t)0xc9a475bf,
+    (q31_t)0x61bda171, (q31_t)0xc99dd4b4, (q31_t)0x61b2f32e, (q31_t)0xc99735c2,
+    (q31_t)0x61a8439e, (q31_t)0xc99098e9, (q31_t)0x619d92c2, (q31_t)0xc989fe29,
+    (q31_t)0x6192e09b, (q31_t)0xc9836582, (q31_t)0x61882d28, (q31_t)0xc97ccef5,
+    (q31_t)0x617d786a, (q31_t)0xc9763a83, (q31_t)0x6172c262, (q31_t)0xc96fa82a,
+    (q31_t)0x61680b0f, (q31_t)0xc96917ec, (q31_t)0x615d5273, (q31_t)0xc96289c9,
+    (q31_t)0x6152988d, (q31_t)0xc95bfdc1, (q31_t)0x6147dd5f, (q31_t)0xc95573d4,
+    (q31_t)0x613d20e8, (q31_t)0xc94eec03, (q31_t)0x61326329, (q31_t)0xc948664d,
+    (q31_t)0x6127a423, (q31_t)0xc941e2b4, (q31_t)0x611ce3d5, (q31_t)0xc93b6137,
+    (q31_t)0x61122240, (q31_t)0xc934e1d6, (q31_t)0x61075f65, (q31_t)0xc92e6492,
+    (q31_t)0x60fc9b44, (q31_t)0xc927e96b, (q31_t)0x60f1d5de, (q31_t)0xc9217062,
+    (q31_t)0x60e70f32, (q31_t)0xc91af976, (q31_t)0x60dc4742, (q31_t)0xc91484a8,
+    (q31_t)0x60d17e0d, (q31_t)0xc90e11f7, (q31_t)0x60c6b395, (q31_t)0xc907a166,
+    (q31_t)0x60bbe7d8, (q31_t)0xc90132f2, (q31_t)0x60b11ad9, (q31_t)0xc8fac69e,
+    (q31_t)0x60a64c97, (q31_t)0xc8f45c68, (q31_t)0x609b7d13, (q31_t)0xc8edf452,
+    (q31_t)0x6090ac4d, (q31_t)0xc8e78e5b, (q31_t)0x6085da46, (q31_t)0xc8e12a84,
+    (q31_t)0x607b06fe, (q31_t)0xc8dac8cd, (q31_t)0x60703275, (q31_t)0xc8d46936,
+    (q31_t)0x60655cac, (q31_t)0xc8ce0bc0, (q31_t)0x605a85a3, (q31_t)0xc8c7b06b,
+    (q31_t)0x604fad5b, (q31_t)0xc8c15736, (q31_t)0x6044d3d4, (q31_t)0xc8bb0023,
+    (q31_t)0x6039f90f, (q31_t)0xc8b4ab32, (q31_t)0x602f1d0b, (q31_t)0xc8ae5862,
+    (q31_t)0x60243fca, (q31_t)0xc8a807b4, (q31_t)0x6019614c, (q31_t)0xc8a1b928,
+    (q31_t)0x600e8190, (q31_t)0xc89b6cbf, (q31_t)0x6003a099, (q31_t)0xc8952278,
+    (q31_t)0x5ff8be65, (q31_t)0xc88eda54, (q31_t)0x5feddaf6, (q31_t)0xc8889454,
+    (q31_t)0x5fe2f64c, (q31_t)0xc8825077, (q31_t)0x5fd81067, (q31_t)0xc87c0ebd,
+    (q31_t)0x5fcd2948, (q31_t)0xc875cf28, (q31_t)0x5fc240ef, (q31_t)0xc86f91b7,
+    (q31_t)0x5fb7575c, (q31_t)0xc869566a, (q31_t)0x5fac6c91, (q31_t)0xc8631d42,
+    (q31_t)0x5fa1808c, (q31_t)0xc85ce63e, (q31_t)0x5f969350, (q31_t)0xc856b160,
+    (q31_t)0x5f8ba4dc, (q31_t)0xc8507ea7, (q31_t)0x5f80b531, (q31_t)0xc84a4e14,
+    (q31_t)0x5f75c44e, (q31_t)0xc8441fa6, (q31_t)0x5f6ad235, (q31_t)0xc83df35f,
+    (q31_t)0x5f5fdee6, (q31_t)0xc837c93e, (q31_t)0x5f54ea62, (q31_t)0xc831a143,
+    (q31_t)0x5f49f4a8, (q31_t)0xc82b7b70, (q31_t)0x5f3efdb9, (q31_t)0xc82557c3,
+    (q31_t)0x5f340596, (q31_t)0xc81f363d, (q31_t)0x5f290c3f, (q31_t)0xc81916df,
+    (q31_t)0x5f1e11b5, (q31_t)0xc812f9a9, (q31_t)0x5f1315f7, (q31_t)0xc80cde9b,
+    (q31_t)0x5f081907, (q31_t)0xc806c5b5, (q31_t)0x5efd1ae4, (q31_t)0xc800aef7,
+    (q31_t)0x5ef21b90, (q31_t)0xc7fa9a62, (q31_t)0x5ee71b0a, (q31_t)0xc7f487f6,
+    (q31_t)0x5edc1953, (q31_t)0xc7ee77b3, (q31_t)0x5ed1166b, (q31_t)0xc7e8699a,
+    (q31_t)0x5ec61254, (q31_t)0xc7e25daa, (q31_t)0x5ebb0d0d, (q31_t)0xc7dc53e3,
+    (q31_t)0x5eb00696, (q31_t)0xc7d64c47, (q31_t)0x5ea4fef0, (q31_t)0xc7d046d6,
+    (q31_t)0x5e99f61d, (q31_t)0xc7ca438f, (q31_t)0x5e8eec1b, (q31_t)0xc7c44272,
+    (q31_t)0x5e83e0eb, (q31_t)0xc7be4381, (q31_t)0x5e78d48e, (q31_t)0xc7b846ba,
+    (q31_t)0x5e6dc705, (q31_t)0xc7b24c20, (q31_t)0x5e62b84f, (q31_t)0xc7ac53b1,
+    (q31_t)0x5e57a86d, (q31_t)0xc7a65d6e, (q31_t)0x5e4c9760, (q31_t)0xc7a06957,
+    (q31_t)0x5e418528, (q31_t)0xc79a776c, (q31_t)0x5e3671c5, (q31_t)0xc79487ae,
+    (q31_t)0x5e2b5d38, (q31_t)0xc78e9a1d, (q31_t)0x5e204781, (q31_t)0xc788aeb9,
+    (q31_t)0x5e1530a1, (q31_t)0xc782c582, (q31_t)0x5e0a1898, (q31_t)0xc77cde79,
+    (q31_t)0x5dfeff67, (q31_t)0xc776f99d, (q31_t)0x5df3e50d, (q31_t)0xc77116f0,
+    (q31_t)0x5de8c98c, (q31_t)0xc76b3671, (q31_t)0x5dddace4, (q31_t)0xc7655820,
+    (q31_t)0x5dd28f15, (q31_t)0xc75f7bfe, (q31_t)0x5dc7701f, (q31_t)0xc759a20a,
+    (q31_t)0x5dbc5004, (q31_t)0xc753ca46, (q31_t)0x5db12ec3, (q31_t)0xc74df4b1,
+    (q31_t)0x5da60c5d, (q31_t)0xc748214c, (q31_t)0x5d9ae8d2, (q31_t)0xc7425016,
+    (q31_t)0x5d8fc424, (q31_t)0xc73c8111, (q31_t)0x5d849e51, (q31_t)0xc736b43c,
+    (q31_t)0x5d79775c, (q31_t)0xc730e997, (q31_t)0x5d6e4f43, (q31_t)0xc72b2123,
+    (q31_t)0x5d632608, (q31_t)0xc7255ae0, (q31_t)0x5d57fbaa, (q31_t)0xc71f96ce,
+    (q31_t)0x5d4cd02c, (q31_t)0xc719d4ed, (q31_t)0x5d41a38c, (q31_t)0xc714153e,
+    (q31_t)0x5d3675cb, (q31_t)0xc70e57c0, (q31_t)0x5d2b46ea, (q31_t)0xc7089c75,
+    (q31_t)0x5d2016e9, (q31_t)0xc702e35c, (q31_t)0x5d14e5c9, (q31_t)0xc6fd2c75,
+    (q31_t)0x5d09b389, (q31_t)0xc6f777c1, (q31_t)0x5cfe802b, (q31_t)0xc6f1c540,
+    (q31_t)0x5cf34baf, (q31_t)0xc6ec14f2, (q31_t)0x5ce81615, (q31_t)0xc6e666d7,
+    (q31_t)0x5cdcdf5e, (q31_t)0xc6e0baf0, (q31_t)0x5cd1a78a, (q31_t)0xc6db113d,
+    (q31_t)0x5cc66e99, (q31_t)0xc6d569be, (q31_t)0x5cbb348d, (q31_t)0xc6cfc472,
+    (q31_t)0x5caff965, (q31_t)0xc6ca215c, (q31_t)0x5ca4bd21, (q31_t)0xc6c4807a,
+    (q31_t)0x5c997fc4, (q31_t)0xc6bee1cd, (q31_t)0x5c8e414b, (q31_t)0xc6b94554,
+    (q31_t)0x5c8301b9, (q31_t)0xc6b3ab12, (q31_t)0x5c77c10e, (q31_t)0xc6ae1304,
+    (q31_t)0x5c6c7f4a, (q31_t)0xc6a87d2d, (q31_t)0x5c613c6d, (q31_t)0xc6a2e98b,
+    (q31_t)0x5c55f878, (q31_t)0xc69d5820, (q31_t)0x5c4ab36b, (q31_t)0xc697c8eb,
+    (q31_t)0x5c3f6d47, (q31_t)0xc6923bec, (q31_t)0x5c34260c, (q31_t)0xc68cb124,
+    (q31_t)0x5c28ddbb, (q31_t)0xc6872894, (q31_t)0x5c1d9454, (q31_t)0xc681a23a,
+    (q31_t)0x5c1249d8, (q31_t)0xc67c1e18, (q31_t)0x5c06fe46, (q31_t)0xc6769c2e,
+    (q31_t)0x5bfbb1a0, (q31_t)0xc6711c7b, (q31_t)0x5bf063e6, (q31_t)0xc66b9f01,
+    (q31_t)0x5be51518, (q31_t)0xc66623be, (q31_t)0x5bd9c537, (q31_t)0xc660aab5,
+    (q31_t)0x5bce7442, (q31_t)0xc65b33e4, (q31_t)0x5bc3223c, (q31_t)0xc655bf4c,
+    (q31_t)0x5bb7cf23, (q31_t)0xc6504ced, (q31_t)0x5bac7af9, (q31_t)0xc64adcc7,
+    (q31_t)0x5ba125bd, (q31_t)0xc6456edb, (q31_t)0x5b95cf71, (q31_t)0xc6400329,
+    (q31_t)0x5b8a7815, (q31_t)0xc63a99b1, (q31_t)0x5b7f1fa9, (q31_t)0xc6353273,
+    (q31_t)0x5b73c62d, (q31_t)0xc62fcd6f, (q31_t)0x5b686ba3, (q31_t)0xc62a6aa6,
+    (q31_t)0x5b5d100a, (q31_t)0xc6250a18, (q31_t)0x5b51b363, (q31_t)0xc61fabc4,
+    (q31_t)0x5b4655ae, (q31_t)0xc61a4fac, (q31_t)0x5b3af6ec, (q31_t)0xc614f5cf,
+    (q31_t)0x5b2f971e, (q31_t)0xc60f9e2e, (q31_t)0x5b243643, (q31_t)0xc60a48c9,
+    (q31_t)0x5b18d45c, (q31_t)0xc604f5a0, (q31_t)0x5b0d716a, (q31_t)0xc5ffa4b3,
+    (q31_t)0x5b020d6c, (q31_t)0xc5fa5603, (q31_t)0x5af6a865, (q31_t)0xc5f5098f,
+    (q31_t)0x5aeb4253, (q31_t)0xc5efbf58, (q31_t)0x5adfdb37, (q31_t)0xc5ea775e,
+    (q31_t)0x5ad47312, (q31_t)0xc5e531a1, (q31_t)0x5ac909e5, (q31_t)0xc5dfee22,
+    (q31_t)0x5abd9faf, (q31_t)0xc5daace1, (q31_t)0x5ab23471, (q31_t)0xc5d56ddd,
+    (q31_t)0x5aa6c82b, (q31_t)0xc5d03118, (q31_t)0x5a9b5adf, (q31_t)0xc5caf690,
+    (q31_t)0x5a8fec8c, (q31_t)0xc5c5be47, (q31_t)0x5a847d33, (q31_t)0xc5c0883d,
+    (q31_t)0x5a790cd4, (q31_t)0xc5bb5472, (q31_t)0x5a6d9b70, (q31_t)0xc5b622e6,
+    (q31_t)0x5a622907, (q31_t)0xc5b0f399, (q31_t)0x5a56b599, (q31_t)0xc5abc68c,
+    (q31_t)0x5a4b4128, (q31_t)0xc5a69bbe, (q31_t)0x5a3fcbb3, (q31_t)0xc5a17330,
+    (q31_t)0x5a34553b, (q31_t)0xc59c4ce3, (q31_t)0x5a28ddc0, (q31_t)0xc59728d5,
+    (q31_t)0x5a1d6544, (q31_t)0xc5920708, (q31_t)0x5a11ebc5, (q31_t)0xc58ce77c,
+    (q31_t)0x5a067145, (q31_t)0xc587ca31, (q31_t)0x59faf5c5, (q31_t)0xc582af26,
+    (q31_t)0x59ef7944, (q31_t)0xc57d965d, (q31_t)0x59e3fbc3, (q31_t)0xc5787fd6,
+    (q31_t)0x59d87d42, (q31_t)0xc5736b90, (q31_t)0x59ccfdc2, (q31_t)0xc56e598c,
+    (q31_t)0x59c17d44, (q31_t)0xc56949ca, (q31_t)0x59b5fbc8, (q31_t)0xc5643c4a,
+    (q31_t)0x59aa794d, (q31_t)0xc55f310d, (q31_t)0x599ef5d6, (q31_t)0xc55a2812,
+    (q31_t)0x59937161, (q31_t)0xc555215a, (q31_t)0x5987ebf0, (q31_t)0xc5501ce5,
+    (q31_t)0x597c6584, (q31_t)0xc54b1ab4, (q31_t)0x5970de1b, (q31_t)0xc5461ac6,
+    (q31_t)0x596555b8, (q31_t)0xc5411d1b, (q31_t)0x5959cc5a, (q31_t)0xc53c21b4,
+    (q31_t)0x594e4201, (q31_t)0xc5372891, (q31_t)0x5942b6af, (q31_t)0xc53231b3,
+    (q31_t)0x59372a64, (q31_t)0xc52d3d18, (q31_t)0x592b9d1f, (q31_t)0xc5284ac3,
+    (q31_t)0x59200ee3, (q31_t)0xc5235ab2, (q31_t)0x59147fae, (q31_t)0xc51e6ce6,
+    (q31_t)0x5908ef82, (q31_t)0xc519815f, (q31_t)0x58fd5e5f, (q31_t)0xc514981d,
+    (q31_t)0x58f1cc45, (q31_t)0xc50fb121, (q31_t)0x58e63935, (q31_t)0xc50acc6b,
+    (q31_t)0x58daa52f, (q31_t)0xc505e9fb, (q31_t)0x58cf1034, (q31_t)0xc50109d0,
+    (q31_t)0x58c37a44, (q31_t)0xc4fc2bec, (q31_t)0x58b7e35f, (q31_t)0xc4f7504e,
+    (q31_t)0x58ac4b87, (q31_t)0xc4f276f7, (q31_t)0x58a0b2bb, (q31_t)0xc4ed9fe7,
+    (q31_t)0x589518fc, (q31_t)0xc4e8cb1e, (q31_t)0x58897e4a, (q31_t)0xc4e3f89c,
+    (q31_t)0x587de2a7, (q31_t)0xc4df2862, (q31_t)0x58724611, (q31_t)0xc4da5a6f,
+    (q31_t)0x5866a88a, (q31_t)0xc4d58ec3, (q31_t)0x585b0a13, (q31_t)0xc4d0c560,
+    (q31_t)0x584f6aab, (q31_t)0xc4cbfe45, (q31_t)0x5843ca53, (q31_t)0xc4c73972,
+    (q31_t)0x5838290c, (q31_t)0xc4c276e8, (q31_t)0x582c86d5, (q31_t)0xc4bdb6a6,
+    (q31_t)0x5820e3b0, (q31_t)0xc4b8f8ad, (q31_t)0x58153f9d, (q31_t)0xc4b43cfd,
+    (q31_t)0x58099a9c, (q31_t)0xc4af8397, (q31_t)0x57fdf4ae, (q31_t)0xc4aacc7a,
+    (q31_t)0x57f24dd3, (q31_t)0xc4a617a6, (q31_t)0x57e6a60c, (q31_t)0xc4a1651c,
+    (q31_t)0x57dafd59, (q31_t)0xc49cb4dd, (q31_t)0x57cf53bb, (q31_t)0xc49806e7,
+    (q31_t)0x57c3a931, (q31_t)0xc4935b3c, (q31_t)0x57b7fdbd, (q31_t)0xc48eb1db,
+    (q31_t)0x57ac515f, (q31_t)0xc48a0ac4, (q31_t)0x57a0a417, (q31_t)0xc48565f9,
+    (q31_t)0x5794f5e6, (q31_t)0xc480c379, (q31_t)0x578946cc, (q31_t)0xc47c2344,
+    (q31_t)0x577d96ca, (q31_t)0xc477855a, (q31_t)0x5771e5e0, (q31_t)0xc472e9bc,
+    (q31_t)0x5766340f, (q31_t)0xc46e5069, (q31_t)0x575a8157, (q31_t)0xc469b963,
+    (q31_t)0x574ecdb8, (q31_t)0xc46524a9, (q31_t)0x57431933, (q31_t)0xc460923b,
+    (q31_t)0x573763c9, (q31_t)0xc45c0219, (q31_t)0x572bad7a, (q31_t)0xc4577444,
+    (q31_t)0x571ff646, (q31_t)0xc452e8bc, (q31_t)0x57143e2d, (q31_t)0xc44e5f80,
+    (q31_t)0x57088531, (q31_t)0xc449d892, (q31_t)0x56fccb51, (q31_t)0xc44553f2,
+    (q31_t)0x56f1108f, (q31_t)0xc440d19e, (q31_t)0x56e554ea, (q31_t)0xc43c5199,
+    (q31_t)0x56d99864, (q31_t)0xc437d3e1, (q31_t)0x56cddafb, (q31_t)0xc4335877,
+    (q31_t)0x56c21cb2, (q31_t)0xc42edf5c, (q31_t)0x56b65d88, (q31_t)0xc42a688f,
+    (q31_t)0x56aa9d7e, (q31_t)0xc425f410, (q31_t)0x569edc94, (q31_t)0xc42181e0,
+    (q31_t)0x56931acb, (q31_t)0xc41d11ff, (q31_t)0x56875823, (q31_t)0xc418a46d,
+    (q31_t)0x567b949d, (q31_t)0xc414392b, (q31_t)0x566fd039, (q31_t)0xc40fd037,
+    (q31_t)0x56640af7, (q31_t)0xc40b6994, (q31_t)0x565844d8, (q31_t)0xc4070540,
+    (q31_t)0x564c7ddd, (q31_t)0xc402a33c, (q31_t)0x5640b606, (q31_t)0xc3fe4388,
+    (q31_t)0x5634ed53, (q31_t)0xc3f9e624, (q31_t)0x562923c5, (q31_t)0xc3f58b10,
+    (q31_t)0x561d595d, (q31_t)0xc3f1324e, (q31_t)0x56118e1a, (q31_t)0xc3ecdbdc,
+    (q31_t)0x5605c1fd, (q31_t)0xc3e887bb, (q31_t)0x55f9f507, (q31_t)0xc3e435ea,
+    (q31_t)0x55ee2738, (q31_t)0xc3dfe66c, (q31_t)0x55e25890, (q31_t)0xc3db993e,
+    (q31_t)0x55d68911, (q31_t)0xc3d74e62, (q31_t)0x55cab8ba, (q31_t)0xc3d305d8,
+    (q31_t)0x55bee78c, (q31_t)0xc3cebfa0, (q31_t)0x55b31587, (q31_t)0xc3ca7bba,
+    (q31_t)0x55a742ac, (q31_t)0xc3c63a26, (q31_t)0x559b6efb, (q31_t)0xc3c1fae5,
+    (q31_t)0x558f9a76, (q31_t)0xc3bdbdf6, (q31_t)0x5583c51b, (q31_t)0xc3b9835a,
+    (q31_t)0x5577eeec, (q31_t)0xc3b54b11, (q31_t)0x556c17e9, (q31_t)0xc3b1151b,
+    (q31_t)0x55604013, (q31_t)0xc3ace178, (q31_t)0x5554676a, (q31_t)0xc3a8b028,
+    (q31_t)0x55488dee, (q31_t)0xc3a4812c, (q31_t)0x553cb3a0, (q31_t)0xc3a05484,
+    (q31_t)0x5530d881, (q31_t)0xc39c2a2f, (q31_t)0x5524fc90, (q31_t)0xc398022f,
+    (q31_t)0x55191fcf, (q31_t)0xc393dc82, (q31_t)0x550d423d, (q31_t)0xc38fb92a,
+    (q31_t)0x550163dc, (q31_t)0xc38b9827, (q31_t)0x54f584ac, (q31_t)0xc3877978,
+    (q31_t)0x54e9a4ac, (q31_t)0xc3835d1e, (q31_t)0x54ddc3de, (q31_t)0xc37f4319,
+    (q31_t)0x54d1e242, (q31_t)0xc37b2b6a, (q31_t)0x54c5ffd9, (q31_t)0xc377160f,
+    (q31_t)0x54ba1ca3, (q31_t)0xc373030a, (q31_t)0x54ae38a0, (q31_t)0xc36ef25b,
+    (q31_t)0x54a253d1, (q31_t)0xc36ae401, (q31_t)0x54966e36, (q31_t)0xc366d7fd,
+    (q31_t)0x548a87d1, (q31_t)0xc362ce50, (q31_t)0x547ea0a0, (q31_t)0xc35ec6f8,
+    (q31_t)0x5472b8a5, (q31_t)0xc35ac1f7, (q31_t)0x5466cfe1, (q31_t)0xc356bf4d,
+    (q31_t)0x545ae653, (q31_t)0xc352bef9, (q31_t)0x544efbfc, (q31_t)0xc34ec0fc,
+    (q31_t)0x544310dd, (q31_t)0xc34ac556, (q31_t)0x543724f5, (q31_t)0xc346cc07,
+    (q31_t)0x542b3846, (q31_t)0xc342d510, (q31_t)0x541f4ad1, (q31_t)0xc33ee070,
+    (q31_t)0x54135c94, (q31_t)0xc33aee27, (q31_t)0x54076d91, (q31_t)0xc336fe37,
+    (q31_t)0x53fb7dc9, (q31_t)0xc333109e, (q31_t)0x53ef8d3c, (q31_t)0xc32f255e,
+    (q31_t)0x53e39be9, (q31_t)0xc32b3c75, (q31_t)0x53d7a9d3, (q31_t)0xc32755e5,
+    (q31_t)0x53cbb6f8, (q31_t)0xc32371ae, (q31_t)0x53bfc35b, (q31_t)0xc31f8fcf,
+    (q31_t)0x53b3cefa, (q31_t)0xc31bb049, (q31_t)0x53a7d9d7, (q31_t)0xc317d31c,
+    (q31_t)0x539be3f2, (q31_t)0xc313f848, (q31_t)0x538fed4b, (q31_t)0xc3101fce,
+    (q31_t)0x5383f5e3, (q31_t)0xc30c49ad, (q31_t)0x5377fdbb, (q31_t)0xc30875e5,
+    (q31_t)0x536c04d2, (q31_t)0xc304a477, (q31_t)0x53600b2a, (q31_t)0xc300d563,
+    (q31_t)0x535410c3, (q31_t)0xc2fd08a9, (q31_t)0x5348159d, (q31_t)0xc2f93e4a,
+    (q31_t)0x533c19b8, (q31_t)0xc2f57644, (q31_t)0x53301d16, (q31_t)0xc2f1b099,
+    (q31_t)0x53241fb6, (q31_t)0xc2eded49, (q31_t)0x5318219a, (q31_t)0xc2ea2c53,
+    (q31_t)0x530c22c1, (q31_t)0xc2e66db8, (q31_t)0x5300232c, (q31_t)0xc2e2b178,
+    (q31_t)0x52f422db, (q31_t)0xc2def794, (q31_t)0x52e821cf, (q31_t)0xc2db400a,
+    (q31_t)0x52dc2009, (q31_t)0xc2d78add, (q31_t)0x52d01d89, (q31_t)0xc2d3d80a,
+    (q31_t)0x52c41a4f, (q31_t)0xc2d02794, (q31_t)0x52b8165b, (q31_t)0xc2cc7979,
+    (q31_t)0x52ac11af, (q31_t)0xc2c8cdbb, (q31_t)0x52a00c4b, (q31_t)0xc2c52459,
+    (q31_t)0x5294062f, (q31_t)0xc2c17d52, (q31_t)0x5287ff5b, (q31_t)0xc2bdd8a9,
+    (q31_t)0x527bf7d1, (q31_t)0xc2ba365c, (q31_t)0x526fef90, (q31_t)0xc2b6966c,
+    (q31_t)0x5263e699, (q31_t)0xc2b2f8d8, (q31_t)0x5257dced, (q31_t)0xc2af5da2,
+    (q31_t)0x524bd28c, (q31_t)0xc2abc4c9, (q31_t)0x523fc776, (q31_t)0xc2a82e4d,
+    (q31_t)0x5233bbac, (q31_t)0xc2a49a2e, (q31_t)0x5227af2e, (q31_t)0xc2a1086d,
+    (q31_t)0x521ba1fd, (q31_t)0xc29d790a, (q31_t)0x520f941a, (q31_t)0xc299ec05,
+    (q31_t)0x52038584, (q31_t)0xc296615d, (q31_t)0x51f7763c, (q31_t)0xc292d914,
+    (q31_t)0x51eb6643, (q31_t)0xc28f5329, (q31_t)0x51df5599, (q31_t)0xc28bcf9c,
+    (q31_t)0x51d3443f, (q31_t)0xc2884e6e, (q31_t)0x51c73235, (q31_t)0xc284cf9f,
+    (q31_t)0x51bb1f7c, (q31_t)0xc281532e, (q31_t)0x51af0c13, (q31_t)0xc27dd91c,
+    (q31_t)0x51a2f7fc, (q31_t)0xc27a616a, (q31_t)0x5196e337, (q31_t)0xc276ec16,
+    (q31_t)0x518acdc4, (q31_t)0xc2737922, (q31_t)0x517eb7a4, (q31_t)0xc270088e,
+    (q31_t)0x5172a0d7, (q31_t)0xc26c9a58, (q31_t)0x5166895f, (q31_t)0xc2692e83,
+    (q31_t)0x515a713a, (q31_t)0xc265c50e, (q31_t)0x514e586a, (q31_t)0xc2625df8,
+    (q31_t)0x51423ef0, (q31_t)0xc25ef943, (q31_t)0x513624cb, (q31_t)0xc25b96ee,
+    (q31_t)0x512a09fc, (q31_t)0xc25836f9, (q31_t)0x511dee84, (q31_t)0xc254d965,
+    (q31_t)0x5111d263, (q31_t)0xc2517e31, (q31_t)0x5105b599, (q31_t)0xc24e255e,
+    (q31_t)0x50f99827, (q31_t)0xc24aceed, (q31_t)0x50ed7a0e, (q31_t)0xc2477adc,
+    (q31_t)0x50e15b4e, (q31_t)0xc244292c, (q31_t)0x50d53be7, (q31_t)0xc240d9de,
+    (q31_t)0x50c91bda, (q31_t)0xc23d8cf1, (q31_t)0x50bcfb28, (q31_t)0xc23a4265,
+    (q31_t)0x50b0d9d0, (q31_t)0xc236fa3b, (q31_t)0x50a4b7d3, (q31_t)0xc233b473,
+    (q31_t)0x50989532, (q31_t)0xc230710d, (q31_t)0x508c71ee, (q31_t)0xc22d3009,
+    (q31_t)0x50804e06, (q31_t)0xc229f167, (q31_t)0x5074297b, (q31_t)0xc226b528,
+    (q31_t)0x5068044e, (q31_t)0xc2237b4b, (q31_t)0x505bde7f, (q31_t)0xc22043d0,
+    (q31_t)0x504fb80e, (q31_t)0xc21d0eb8, (q31_t)0x504390fd, (q31_t)0xc219dc03,
+    (q31_t)0x5037694b, (q31_t)0xc216abb1, (q31_t)0x502b40f8, (q31_t)0xc2137dc2,
+    (q31_t)0x501f1807, (q31_t)0xc2105236, (q31_t)0x5012ee76, (q31_t)0xc20d290d,
+    (q31_t)0x5006c446, (q31_t)0xc20a0248, (q31_t)0x4ffa9979, (q31_t)0xc206dde6,
+    (q31_t)0x4fee6e0d, (q31_t)0xc203bbe8, (q31_t)0x4fe24205, (q31_t)0xc2009c4e,
+    (q31_t)0x4fd6155f, (q31_t)0xc1fd7f17, (q31_t)0x4fc9e81e, (q31_t)0xc1fa6445,
+    (q31_t)0x4fbdba40, (q31_t)0xc1f74bd6, (q31_t)0x4fb18bc8, (q31_t)0xc1f435cc,
+    (q31_t)0x4fa55cb4, (q31_t)0xc1f12227, (q31_t)0x4f992d06, (q31_t)0xc1ee10e5,
+    (q31_t)0x4f8cfcbe, (q31_t)0xc1eb0209, (q31_t)0x4f80cbdc, (q31_t)0xc1e7f591,
+    (q31_t)0x4f749a61, (q31_t)0xc1e4eb7e, (q31_t)0x4f68684e, (q31_t)0xc1e1e3d0,
+    (q31_t)0x4f5c35a3, (q31_t)0xc1dede87, (q31_t)0x4f500260, (q31_t)0xc1dbdba3,
+    (q31_t)0x4f43ce86, (q31_t)0xc1d8db25, (q31_t)0x4f379a16, (q31_t)0xc1d5dd0c,
+    (q31_t)0x4f2b650f, (q31_t)0xc1d2e158, (q31_t)0x4f1f2f73, (q31_t)0xc1cfe80a,
+    (q31_t)0x4f12f941, (q31_t)0xc1ccf122, (q31_t)0x4f06c27a, (q31_t)0xc1c9fca0,
+    (q31_t)0x4efa8b20, (q31_t)0xc1c70a84, (q31_t)0x4eee5331, (q31_t)0xc1c41ace,
+    (q31_t)0x4ee21aaf, (q31_t)0xc1c12d7e, (q31_t)0x4ed5e19a, (q31_t)0xc1be4294,
+    (q31_t)0x4ec9a7f3, (q31_t)0xc1bb5a11, (q31_t)0x4ebd6db9, (q31_t)0xc1b873f5,
+    (q31_t)0x4eb132ef, (q31_t)0xc1b5903f, (q31_t)0x4ea4f793, (q31_t)0xc1b2aef0,
+    (q31_t)0x4e98bba7, (q31_t)0xc1afd007, (q31_t)0x4e8c7f2a, (q31_t)0xc1acf386,
+    (q31_t)0x4e80421e, (q31_t)0xc1aa196c, (q31_t)0x4e740483, (q31_t)0xc1a741b9,
+    (q31_t)0x4e67c65a, (q31_t)0xc1a46c6e, (q31_t)0x4e5b87a2, (q31_t)0xc1a1998a,
+    (q31_t)0x4e4f485c, (q31_t)0xc19ec90d, (q31_t)0x4e430889, (q31_t)0xc19bfaf9,
+    (q31_t)0x4e36c82a, (q31_t)0xc1992f4c, (q31_t)0x4e2a873e, (q31_t)0xc1966606,
+    (q31_t)0x4e1e45c6, (q31_t)0xc1939f29, (q31_t)0x4e1203c3, (q31_t)0xc190dab4,
+    (q31_t)0x4e05c135, (q31_t)0xc18e18a7, (q31_t)0x4df97e1d, (q31_t)0xc18b5903,
+    (q31_t)0x4ded3a7b, (q31_t)0xc1889bc6, (q31_t)0x4de0f64f, (q31_t)0xc185e0f3,
+    (q31_t)0x4dd4b19a, (q31_t)0xc1832888, (q31_t)0x4dc86c5d, (q31_t)0xc1807285,
+    (q31_t)0x4dbc2698, (q31_t)0xc17dbeec, (q31_t)0x4dafe04b, (q31_t)0xc17b0dbb,
+    (q31_t)0x4da39978, (q31_t)0xc1785ef4, (q31_t)0x4d97521d, (q31_t)0xc175b296,
+    (q31_t)0x4d8b0a3d, (q31_t)0xc17308a1, (q31_t)0x4d7ec1d6, (q31_t)0xc1706115,
+    (q31_t)0x4d7278eb, (q31_t)0xc16dbbf3, (q31_t)0x4d662f7b, (q31_t)0xc16b193a,
+    (q31_t)0x4d59e586, (q31_t)0xc16878eb, (q31_t)0x4d4d9b0e, (q31_t)0xc165db05,
+    (q31_t)0x4d415013, (q31_t)0xc1633f8a, (q31_t)0x4d350495, (q31_t)0xc160a678,
+    (q31_t)0x4d28b894, (q31_t)0xc15e0fd1, (q31_t)0x4d1c6c11, (q31_t)0xc15b7b94,
+    (q31_t)0x4d101f0e, (q31_t)0xc158e9c1, (q31_t)0x4d03d189, (q31_t)0xc1565a58,
+    (q31_t)0x4cf78383, (q31_t)0xc153cd5a, (q31_t)0x4ceb34fe, (q31_t)0xc15142c6,
+    (q31_t)0x4cdee5f9, (q31_t)0xc14eba9d, (q31_t)0x4cd29676, (q31_t)0xc14c34df,
+    (q31_t)0x4cc64673, (q31_t)0xc149b18b, (q31_t)0x4cb9f5f3, (q31_t)0xc14730a3,
+    (q31_t)0x4cada4f5, (q31_t)0xc144b225, (q31_t)0x4ca1537a, (q31_t)0xc1423613,
+    (q31_t)0x4c950182, (q31_t)0xc13fbc6c, (q31_t)0x4c88af0e, (q31_t)0xc13d4530,
+    (q31_t)0x4c7c5c1e, (q31_t)0xc13ad060, (q31_t)0x4c7008b3, (q31_t)0xc1385dfb,
+    (q31_t)0x4c63b4ce, (q31_t)0xc135ee02, (q31_t)0x4c57606e, (q31_t)0xc1338075,
+    (q31_t)0x4c4b0b94, (q31_t)0xc1311553, (q31_t)0x4c3eb641, (q31_t)0xc12eac9d,
+    (q31_t)0x4c326075, (q31_t)0xc12c4653, (q31_t)0x4c260a31, (q31_t)0xc129e276,
+    (q31_t)0x4c19b374, (q31_t)0xc1278104, (q31_t)0x4c0d5c41, (q31_t)0xc12521ff,
+    (q31_t)0x4c010496, (q31_t)0xc122c566, (q31_t)0x4bf4ac75, (q31_t)0xc1206b39,
+    (q31_t)0x4be853de, (q31_t)0xc11e1379, (q31_t)0x4bdbfad1, (q31_t)0xc11bbe26,
+    (q31_t)0x4bcfa150, (q31_t)0xc1196b3f, (q31_t)0x4bc34759, (q31_t)0xc1171ac6,
+    (q31_t)0x4bb6ecef, (q31_t)0xc114ccb9, (q31_t)0x4baa9211, (q31_t)0xc1128119,
+    (q31_t)0x4b9e36c0, (q31_t)0xc11037e6, (q31_t)0x4b91dafc, (q31_t)0xc10df120,
+    (q31_t)0x4b857ec7, (q31_t)0xc10bacc8, (q31_t)0x4b79221f, (q31_t)0xc1096add,
+    (q31_t)0x4b6cc506, (q31_t)0xc1072b5f, (q31_t)0x4b60677c, (q31_t)0xc104ee4f,
+    (q31_t)0x4b540982, (q31_t)0xc102b3ac, (q31_t)0x4b47ab19, (q31_t)0xc1007b77,
+    (q31_t)0x4b3b4c40, (q31_t)0xc0fe45b0, (q31_t)0x4b2eecf8, (q31_t)0xc0fc1257,
+    (q31_t)0x4b228d42, (q31_t)0xc0f9e16b, (q31_t)0x4b162d1d, (q31_t)0xc0f7b2ee,
+    (q31_t)0x4b09cc8c, (q31_t)0xc0f586df, (q31_t)0x4afd6b8d, (q31_t)0xc0f35d3e,
+    (q31_t)0x4af10a22, (q31_t)0xc0f1360b, (q31_t)0x4ae4a84b, (q31_t)0xc0ef1147,
+    (q31_t)0x4ad84609, (q31_t)0xc0eceef1, (q31_t)0x4acbe35b, (q31_t)0xc0eacf09,
+    (q31_t)0x4abf8043, (q31_t)0xc0e8b190, (q31_t)0x4ab31cc1, (q31_t)0xc0e69686,
+    (q31_t)0x4aa6b8d5, (q31_t)0xc0e47deb, (q31_t)0x4a9a5480, (q31_t)0xc0e267be,
+    (q31_t)0x4a8defc3, (q31_t)0xc0e05401, (q31_t)0x4a818a9d, (q31_t)0xc0de42b2,
+    (q31_t)0x4a752510, (q31_t)0xc0dc33d2, (q31_t)0x4a68bf1b, (q31_t)0xc0da2762,
+    (q31_t)0x4a5c58c0, (q31_t)0xc0d81d61, (q31_t)0x4a4ff1fe, (q31_t)0xc0d615cf,
+    (q31_t)0x4a438ad7, (q31_t)0xc0d410ad, (q31_t)0x4a37234a, (q31_t)0xc0d20dfa,
+    (q31_t)0x4a2abb59, (q31_t)0xc0d00db6, (q31_t)0x4a1e5303, (q31_t)0xc0ce0fe3,
+    (q31_t)0x4a11ea49, (q31_t)0xc0cc147f, (q31_t)0x4a05812c, (q31_t)0xc0ca1b8a,
+    (q31_t)0x49f917ac, (q31_t)0xc0c82506, (q31_t)0x49ecadc9, (q31_t)0xc0c630f2,
+    (q31_t)0x49e04385, (q31_t)0xc0c43f4d, (q31_t)0x49d3d8df, (q31_t)0xc0c25019,
+    (q31_t)0x49c76dd8, (q31_t)0xc0c06355, (q31_t)0x49bb0271, (q31_t)0xc0be7901,
+    (q31_t)0x49ae96aa, (q31_t)0xc0bc911d, (q31_t)0x49a22a83, (q31_t)0xc0baabaa,
+    (q31_t)0x4995bdfd, (q31_t)0xc0b8c8a7, (q31_t)0x49895118, (q31_t)0xc0b6e815,
+    (q31_t)0x497ce3d5, (q31_t)0xc0b509f3, (q31_t)0x49707635, (q31_t)0xc0b32e42,
+    (q31_t)0x49640837, (q31_t)0xc0b15502, (q31_t)0x495799dd, (q31_t)0xc0af7e33,
+    (q31_t)0x494b2b27, (q31_t)0xc0ada9d4, (q31_t)0x493ebc14, (q31_t)0xc0abd7e6,
+    (q31_t)0x49324ca7, (q31_t)0xc0aa086a, (q31_t)0x4925dcdf, (q31_t)0xc0a83b5e,
+    (q31_t)0x49196cbc, (q31_t)0xc0a670c4, (q31_t)0x490cfc40, (q31_t)0xc0a4a89b,
+    (q31_t)0x49008b6a, (q31_t)0xc0a2e2e3, (q31_t)0x48f41a3c, (q31_t)0xc0a11f9d,
+    (q31_t)0x48e7a8b5, (q31_t)0xc09f5ec8, (q31_t)0x48db36d6, (q31_t)0xc09da065,
+    (q31_t)0x48cec4a0, (q31_t)0xc09be473, (q31_t)0x48c25213, (q31_t)0xc09a2af3,
+    (q31_t)0x48b5df30, (q31_t)0xc09873e4, (q31_t)0x48a96bf6, (q31_t)0xc096bf48,
+    (q31_t)0x489cf867, (q31_t)0xc0950d1d, (q31_t)0x48908483, (q31_t)0xc0935d64,
+    (q31_t)0x4884104b, (q31_t)0xc091b01d, (q31_t)0x48779bbe, (q31_t)0xc0900548,
+    (q31_t)0x486b26de, (q31_t)0xc08e5ce5, (q31_t)0x485eb1ab, (q31_t)0xc08cb6f5,
+    (q31_t)0x48523c25, (q31_t)0xc08b1376, (q31_t)0x4845c64d, (q31_t)0xc089726a,
+    (q31_t)0x48395024, (q31_t)0xc087d3d0, (q31_t)0x482cd9a9, (q31_t)0xc08637a9,
+    (q31_t)0x482062de, (q31_t)0xc0849df4, (q31_t)0x4813ebc2, (q31_t)0xc08306b2,
+    (q31_t)0x48077457, (q31_t)0xc08171e2, (q31_t)0x47fafc9c, (q31_t)0xc07fdf85,
+    (q31_t)0x47ee8493, (q31_t)0xc07e4f9b, (q31_t)0x47e20c3b, (q31_t)0xc07cc223,
+    (q31_t)0x47d59396, (q31_t)0xc07b371e, (q31_t)0x47c91aa3, (q31_t)0xc079ae8c,
+    (q31_t)0x47bca163, (q31_t)0xc078286e, (q31_t)0x47b027d7, (q31_t)0xc076a4c2,
+    (q31_t)0x47a3adff, (q31_t)0xc0752389, (q31_t)0x479733dc, (q31_t)0xc073a4c3,
+    (q31_t)0x478ab96e, (q31_t)0xc0722871, (q31_t)0x477e3eb5, (q31_t)0xc070ae92,
+    (q31_t)0x4771c3b3, (q31_t)0xc06f3726, (q31_t)0x47654867, (q31_t)0xc06dc22e,
+    (q31_t)0x4758ccd2, (q31_t)0xc06c4fa8, (q31_t)0x474c50f4, (q31_t)0xc06adf97,
+    (q31_t)0x473fd4cf, (q31_t)0xc06971f9, (q31_t)0x47335862, (q31_t)0xc06806ce,
+    (q31_t)0x4726dbae, (q31_t)0xc0669e18, (q31_t)0x471a5eb3, (q31_t)0xc06537d4,
+    (q31_t)0x470de172, (q31_t)0xc063d405, (q31_t)0x470163eb, (q31_t)0xc06272aa,
+    (q31_t)0x46f4e620, (q31_t)0xc06113c2, (q31_t)0x46e86810, (q31_t)0xc05fb74e,
+    (q31_t)0x46dbe9bb, (q31_t)0xc05e5d4e, (q31_t)0x46cf6b23, (q31_t)0xc05d05c3,
+    (q31_t)0x46c2ec48, (q31_t)0xc05bb0ab, (q31_t)0x46b66d29, (q31_t)0xc05a5e07,
+    (q31_t)0x46a9edc9, (q31_t)0xc0590dd8, (q31_t)0x469d6e27, (q31_t)0xc057c01d,
+    (q31_t)0x4690ee44, (q31_t)0xc05674d6, (q31_t)0x46846e1f, (q31_t)0xc0552c03,
+    (q31_t)0x4677edbb, (q31_t)0xc053e5a5, (q31_t)0x466b6d16, (q31_t)0xc052a1bb,
+    (q31_t)0x465eec33, (q31_t)0xc0516045, (q31_t)0x46526b10, (q31_t)0xc0502145,
+    (q31_t)0x4645e9af, (q31_t)0xc04ee4b8, (q31_t)0x46396810, (q31_t)0xc04daaa1,
+    (q31_t)0x462ce634, (q31_t)0xc04c72fe, (q31_t)0x4620641a, (q31_t)0xc04b3dcf,
+    (q31_t)0x4613e1c5, (q31_t)0xc04a0b16, (q31_t)0x46075f33, (q31_t)0xc048dad1,
+    (q31_t)0x45fadc66, (q31_t)0xc047ad01, (q31_t)0x45ee595d, (q31_t)0xc04681a6,
+    (q31_t)0x45e1d61b, (q31_t)0xc04558c0, (q31_t)0x45d5529e, (q31_t)0xc044324f,
+    (q31_t)0x45c8cee7, (q31_t)0xc0430e53, (q31_t)0x45bc4af8, (q31_t)0xc041eccc,
+    (q31_t)0x45afc6d0, (q31_t)0xc040cdba, (q31_t)0x45a3426f, (q31_t)0xc03fb11d,
+    (q31_t)0x4596bdd7, (q31_t)0xc03e96f6, (q31_t)0x458a3908, (q31_t)0xc03d7f44,
+    (q31_t)0x457db403, (q31_t)0xc03c6a07, (q31_t)0x45712ec7, (q31_t)0xc03b573f,
+    (q31_t)0x4564a955, (q31_t)0xc03a46ed, (q31_t)0x455823ae, (q31_t)0xc0393910,
+    (q31_t)0x454b9dd3, (q31_t)0xc0382da8, (q31_t)0x453f17c3, (q31_t)0xc03724b6,
+    (q31_t)0x4532917f, (q31_t)0xc0361e3a, (q31_t)0x45260b08, (q31_t)0xc0351a33,
+    (q31_t)0x4519845e, (q31_t)0xc03418a2, (q31_t)0x450cfd82, (q31_t)0xc0331986,
+    (q31_t)0x45007674, (q31_t)0xc0321ce0, (q31_t)0x44f3ef35, (q31_t)0xc03122b0,
+    (q31_t)0x44e767c5, (q31_t)0xc0302af5, (q31_t)0x44dae024, (q31_t)0xc02f35b1,
+    (q31_t)0x44ce5854, (q31_t)0xc02e42e2, (q31_t)0x44c1d054, (q31_t)0xc02d5289,
+    (q31_t)0x44b54825, (q31_t)0xc02c64a6, (q31_t)0x44a8bfc7, (q31_t)0xc02b7939,
+    (q31_t)0x449c373c, (q31_t)0xc02a9042, (q31_t)0x448fae83, (q31_t)0xc029a9c1,
+    (q31_t)0x4483259d, (q31_t)0xc028c5b6, (q31_t)0x44769c8b, (q31_t)0xc027e421,
+    (q31_t)0x446a134c, (q31_t)0xc0270502, (q31_t)0x445d89e2, (q31_t)0xc0262859,
+    (q31_t)0x4451004d, (q31_t)0xc0254e27, (q31_t)0x4444768d, (q31_t)0xc024766a,
+    (q31_t)0x4437eca4, (q31_t)0xc023a124, (q31_t)0x442b6290, (q31_t)0xc022ce54,
+    (q31_t)0x441ed854, (q31_t)0xc021fdfb, (q31_t)0x44124dee, (q31_t)0xc0213018,
+    (q31_t)0x4405c361, (q31_t)0xc02064ab, (q31_t)0x43f938ac, (q31_t)0xc01f9bb5,
+    (q31_t)0x43ecadcf, (q31_t)0xc01ed535, (q31_t)0x43e022cc, (q31_t)0xc01e112b,
+    (q31_t)0x43d397a3, (q31_t)0xc01d4f99, (q31_t)0x43c70c54, (q31_t)0xc01c907c,
+    (q31_t)0x43ba80df, (q31_t)0xc01bd3d6, (q31_t)0x43adf546, (q31_t)0xc01b19a7,
+    (q31_t)0x43a16988, (q31_t)0xc01a61ee, (q31_t)0x4394dda7, (q31_t)0xc019acac,
+    (q31_t)0x438851a2, (q31_t)0xc018f9e1, (q31_t)0x437bc57b, (q31_t)0xc018498c,
+    (q31_t)0x436f3931, (q31_t)0xc0179bae, (q31_t)0x4362acc5, (q31_t)0xc016f047,
+    (q31_t)0x43562038, (q31_t)0xc0164757, (q31_t)0x43499389, (q31_t)0xc015a0dd,
+    (q31_t)0x433d06bb, (q31_t)0xc014fcda, (q31_t)0x433079cc, (q31_t)0xc0145b4e,
+    (q31_t)0x4323ecbe, (q31_t)0xc013bc39, (q31_t)0x43175f91, (q31_t)0xc0131f9b,
+    (q31_t)0x430ad245, (q31_t)0xc0128574, (q31_t)0x42fe44dc, (q31_t)0xc011edc3,
+    (q31_t)0x42f1b755, (q31_t)0xc011588a, (q31_t)0x42e529b0, (q31_t)0xc010c5c7,
+    (q31_t)0x42d89bf0, (q31_t)0xc010357c, (q31_t)0x42cc0e13, (q31_t)0xc00fa7a8,
+    (q31_t)0x42bf801a, (q31_t)0xc00f1c4a, (q31_t)0x42b2f207, (q31_t)0xc00e9364,
+    (q31_t)0x42a663d8, (q31_t)0xc00e0cf5, (q31_t)0x4299d590, (q31_t)0xc00d88fd,
+    (q31_t)0x428d472e, (q31_t)0xc00d077c, (q31_t)0x4280b8b3, (q31_t)0xc00c8872,
+    (q31_t)0x42742a1f, (q31_t)0xc00c0be0, (q31_t)0x42679b73, (q31_t)0xc00b91c4,
+    (q31_t)0x425b0caf, (q31_t)0xc00b1a20, (q31_t)0x424e7dd4, (q31_t)0xc00aa4f3,
+    (q31_t)0x4241eee2, (q31_t)0xc00a323d, (q31_t)0x42355fd9, (q31_t)0xc009c1ff,
+    (q31_t)0x4228d0bb, (q31_t)0xc0095438, (q31_t)0x421c4188, (q31_t)0xc008e8e8,
+    (q31_t)0x420fb240, (q31_t)0xc008800f, (q31_t)0x420322e3, (q31_t)0xc00819ae,
+    (q31_t)0x41f69373, (q31_t)0xc007b5c4, (q31_t)0x41ea03ef, (q31_t)0xc0075452,
+    (q31_t)0x41dd7459, (q31_t)0xc006f556, (q31_t)0x41d0e4b0, (q31_t)0xc00698d3,
+    (q31_t)0x41c454f5, (q31_t)0xc0063ec6, (q31_t)0x41b7c528, (q31_t)0xc005e731,
+    (q31_t)0x41ab354b, (q31_t)0xc0059214, (q31_t)0x419ea55d, (q31_t)0xc0053f6e,
+    (q31_t)0x4192155f, (q31_t)0xc004ef3f, (q31_t)0x41858552, (q31_t)0xc004a188,
+    (q31_t)0x4178f536, (q31_t)0xc0045648, (q31_t)0x416c650b, (q31_t)0xc0040d80,
+    (q31_t)0x415fd4d2, (q31_t)0xc003c72f, (q31_t)0x4153448c, (q31_t)0xc0038356,
+    (q31_t)0x4146b438, (q31_t)0xc00341f4, (q31_t)0x413a23d8, (q31_t)0xc003030a,
+    (q31_t)0x412d936c, (q31_t)0xc002c697, (q31_t)0x412102f4, (q31_t)0xc0028c9c,
+    (q31_t)0x41147271, (q31_t)0xc0025519, (q31_t)0x4107e1e3, (q31_t)0xc002200d,
+    (q31_t)0x40fb514b, (q31_t)0xc001ed78, (q31_t)0x40eec0aa, (q31_t)0xc001bd5c,
+    (q31_t)0x40e22fff, (q31_t)0xc0018fb6, (q31_t)0x40d59f4c, (q31_t)0xc0016489,
+    (q31_t)0x40c90e90, (q31_t)0xc0013bd3, (q31_t)0x40bc7dcc, (q31_t)0xc0011594,
+    (q31_t)0x40afed02, (q31_t)0xc000f1ce, (q31_t)0x40a35c30, (q31_t)0xc000d07e,
+    (q31_t)0x4096cb58, (q31_t)0xc000b1a7, (q31_t)0x408a3a7b, (q31_t)0xc0009547,
+    (q31_t)0x407da998, (q31_t)0xc0007b5f, (q31_t)0x407118b0, (q31_t)0xc00063ee,
+    (q31_t)0x406487c4, (q31_t)0xc0004ef5, (q31_t)0x4057f6d4, (q31_t)0xc0003c74,
+    (q31_t)0x404b65e1, (q31_t)0xc0002c6a, (q31_t)0x403ed4ea, (q31_t)0xc0001ed8,
+    (q31_t)0x403243f1, (q31_t)0xc00013bd, (q31_t)0x4025b2f7, (q31_t)0xc0000b1a,
+    (q31_t)0x401921fb, (q31_t)0xc00004ef, (q31_t)0x400c90fe, (q31_t)0xc000013c,
+};
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_REALCOEF_Q15)
+/**
+  @par
+  Generation fixed-point realCoefAQ15 array in Q15 format:
+  @par
+  n = 4096
+  <pre>for (i = 0; i < n; i++)
+  {
+     pATable[2 * i]     = 0.5 * ( 1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+     pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }</pre>
+  @par
+  Convert to fixed point Q15 format
+        round(pATable[i] * pow(2, 15))
+ */
+const q15_t __ALIGNED(4) realCoefAQ15[8192] = {
+    (q15_t)0x4000, (q15_t)0xc000, (q15_t)0x3ff3, (q15_t)0xc000, (q15_t)0x3fe7, (q15_t)0xc000, (q15_t)0x3fda, (q15_t)0xc000,
+    (q15_t)0x3fce, (q15_t)0xc000, (q15_t)0x3fc1, (q15_t)0xc000, (q15_t)0x3fb5, (q15_t)0xc000, (q15_t)0x3fa8, (q15_t)0xc000,
+    (q15_t)0x3f9b, (q15_t)0xc000, (q15_t)0x3f8f, (q15_t)0xc000, (q15_t)0x3f82, (q15_t)0xc000, (q15_t)0x3f76, (q15_t)0xc001,
+    (q15_t)0x3f69, (q15_t)0xc001, (q15_t)0x3f5d, (q15_t)0xc001, (q15_t)0x3f50, (q15_t)0xc001, (q15_t)0x3f44, (q15_t)0xc001,
+    (q15_t)0x3f37, (q15_t)0xc001, (q15_t)0x3f2a, (q15_t)0xc001, (q15_t)0x3f1e, (q15_t)0xc002, (q15_t)0x3f11, (q15_t)0xc002,
+    (q15_t)0x3f05, (q15_t)0xc002, (q15_t)0x3ef8, (q15_t)0xc002, (q15_t)0x3eec, (q15_t)0xc002, (q15_t)0x3edf, (q15_t)0xc003,
+    (q15_t)0x3ed2, (q15_t)0xc003, (q15_t)0x3ec6, (q15_t)0xc003, (q15_t)0x3eb9, (q15_t)0xc003, (q15_t)0x3ead, (q15_t)0xc004,
+    (q15_t)0x3ea0, (q15_t)0xc004, (q15_t)0x3e94, (q15_t)0xc004, (q15_t)0x3e87, (q15_t)0xc004, (q15_t)0x3e7a, (q15_t)0xc005,
+    (q15_t)0x3e6e, (q15_t)0xc005, (q15_t)0x3e61, (q15_t)0xc005, (q15_t)0x3e55, (q15_t)0xc006, (q15_t)0x3e48, (q15_t)0xc006,
+    (q15_t)0x3e3c, (q15_t)0xc006, (q15_t)0x3e2f, (q15_t)0xc007, (q15_t)0x3e23, (q15_t)0xc007, (q15_t)0x3e16, (q15_t)0xc007,
+    (q15_t)0x3e09, (q15_t)0xc008, (q15_t)0x3dfd, (q15_t)0xc008, (q15_t)0x3df0, (q15_t)0xc009, (q15_t)0x3de4, (q15_t)0xc009,
+    (q15_t)0x3dd7, (q15_t)0xc009, (q15_t)0x3dcb, (q15_t)0xc00a, (q15_t)0x3dbe, (q15_t)0xc00a, (q15_t)0x3db2, (q15_t)0xc00b,
+    (q15_t)0x3da5, (q15_t)0xc00b, (q15_t)0x3d98, (q15_t)0xc00c, (q15_t)0x3d8c, (q15_t)0xc00c, (q15_t)0x3d7f, (q15_t)0xc00d,
+    (q15_t)0x3d73, (q15_t)0xc00d, (q15_t)0x3d66, (q15_t)0xc00e, (q15_t)0x3d5a, (q15_t)0xc00e, (q15_t)0x3d4d, (q15_t)0xc00f,
+    (q15_t)0x3d40, (q15_t)0xc00f, (q15_t)0x3d34, (q15_t)0xc010, (q15_t)0x3d27, (q15_t)0xc010, (q15_t)0x3d1b, (q15_t)0xc011,
+    (q15_t)0x3d0e, (q15_t)0xc011, (q15_t)0x3d02, (q15_t)0xc012, (q15_t)0x3cf5, (q15_t)0xc013, (q15_t)0x3ce9, (q15_t)0xc013,
+    (q15_t)0x3cdc, (q15_t)0xc014, (q15_t)0x3cd0, (q15_t)0xc014, (q15_t)0x3cc3, (q15_t)0xc015, (q15_t)0x3cb6, (q15_t)0xc016,
+    (q15_t)0x3caa, (q15_t)0xc016, (q15_t)0x3c9d, (q15_t)0xc017, (q15_t)0x3c91, (q15_t)0xc018, (q15_t)0x3c84, (q15_t)0xc018,
+    (q15_t)0x3c78, (q15_t)0xc019, (q15_t)0x3c6b, (q15_t)0xc01a, (q15_t)0x3c5f, (q15_t)0xc01a, (q15_t)0x3c52, (q15_t)0xc01b,
+    (q15_t)0x3c45, (q15_t)0xc01c, (q15_t)0x3c39, (q15_t)0xc01d, (q15_t)0x3c2c, (q15_t)0xc01d, (q15_t)0x3c20, (q15_t)0xc01e,
+    (q15_t)0x3c13, (q15_t)0xc01f, (q15_t)0x3c07, (q15_t)0xc020, (q15_t)0x3bfa, (q15_t)0xc020, (q15_t)0x3bee, (q15_t)0xc021,
+    (q15_t)0x3be1, (q15_t)0xc022, (q15_t)0x3bd5, (q15_t)0xc023, (q15_t)0x3bc8, (q15_t)0xc024, (q15_t)0x3bbc, (q15_t)0xc024,
+    (q15_t)0x3baf, (q15_t)0xc025, (q15_t)0x3ba2, (q15_t)0xc026, (q15_t)0x3b96, (q15_t)0xc027, (q15_t)0x3b89, (q15_t)0xc028,
+    (q15_t)0x3b7d, (q15_t)0xc029, (q15_t)0x3b70, (q15_t)0xc02a, (q15_t)0x3b64, (q15_t)0xc02b, (q15_t)0x3b57, (q15_t)0xc02b,
+    (q15_t)0x3b4b, (q15_t)0xc02c, (q15_t)0x3b3e, (q15_t)0xc02d, (q15_t)0x3b32, (q15_t)0xc02e, (q15_t)0x3b25, (q15_t)0xc02f,
+    (q15_t)0x3b19, (q15_t)0xc030, (q15_t)0x3b0c, (q15_t)0xc031, (q15_t)0x3b00, (q15_t)0xc032, (q15_t)0x3af3, (q15_t)0xc033,
+    (q15_t)0x3ae6, (q15_t)0xc034, (q15_t)0x3ada, (q15_t)0xc035, (q15_t)0x3acd, (q15_t)0xc036, (q15_t)0x3ac1, (q15_t)0xc037,
+    (q15_t)0x3ab4, (q15_t)0xc038, (q15_t)0x3aa8, (q15_t)0xc039, (q15_t)0x3a9b, (q15_t)0xc03a, (q15_t)0x3a8f, (q15_t)0xc03b,
+    (q15_t)0x3a82, (q15_t)0xc03c, (q15_t)0x3a76, (q15_t)0xc03d, (q15_t)0x3a69, (q15_t)0xc03f, (q15_t)0x3a5d, (q15_t)0xc040,
+    (q15_t)0x3a50, (q15_t)0xc041, (q15_t)0x3a44, (q15_t)0xc042, (q15_t)0x3a37, (q15_t)0xc043, (q15_t)0x3a2b, (q15_t)0xc044,
+    (q15_t)0x3a1e, (q15_t)0xc045, (q15_t)0x3a12, (q15_t)0xc047, (q15_t)0x3a05, (q15_t)0xc048, (q15_t)0x39f9, (q15_t)0xc049,
+    (q15_t)0x39ec, (q15_t)0xc04a, (q15_t)0x39e0, (q15_t)0xc04b, (q15_t)0x39d3, (q15_t)0xc04c, (q15_t)0x39c7, (q15_t)0xc04e,
+    (q15_t)0x39ba, (q15_t)0xc04f, (q15_t)0x39ae, (q15_t)0xc050, (q15_t)0x39a1, (q15_t)0xc051, (q15_t)0x3995, (q15_t)0xc053,
+    (q15_t)0x3988, (q15_t)0xc054, (q15_t)0x397c, (q15_t)0xc055, (q15_t)0x396f, (q15_t)0xc056, (q15_t)0x3963, (q15_t)0xc058,
+    (q15_t)0x3956, (q15_t)0xc059, (q15_t)0x394a, (q15_t)0xc05a, (q15_t)0x393d, (q15_t)0xc05c, (q15_t)0x3931, (q15_t)0xc05d,
+    (q15_t)0x3924, (q15_t)0xc05e, (q15_t)0x3918, (q15_t)0xc060, (q15_t)0x390b, (q15_t)0xc061, (q15_t)0x38ff, (q15_t)0xc062,
+    (q15_t)0x38f2, (q15_t)0xc064, (q15_t)0x38e6, (q15_t)0xc065, (q15_t)0x38d9, (q15_t)0xc067, (q15_t)0x38cd, (q15_t)0xc068,
+    (q15_t)0x38c0, (q15_t)0xc069, (q15_t)0x38b4, (q15_t)0xc06b, (q15_t)0x38a7, (q15_t)0xc06c, (q15_t)0x389b, (q15_t)0xc06e,
+    (q15_t)0x388e, (q15_t)0xc06f, (q15_t)0x3882, (q15_t)0xc071, (q15_t)0x3875, (q15_t)0xc072, (q15_t)0x3869, (q15_t)0xc074,
+    (q15_t)0x385c, (q15_t)0xc075, (q15_t)0x3850, (q15_t)0xc077, (q15_t)0x3843, (q15_t)0xc078, (q15_t)0x3837, (q15_t)0xc07a,
+    (q15_t)0x382a, (q15_t)0xc07b, (q15_t)0x381e, (q15_t)0xc07d, (q15_t)0x3811, (q15_t)0xc07e, (q15_t)0x3805, (q15_t)0xc080,
+    (q15_t)0x37f9, (q15_t)0xc081, (q15_t)0x37ec, (q15_t)0xc083, (q15_t)0x37e0, (q15_t)0xc085, (q15_t)0x37d3, (q15_t)0xc086,
+    (q15_t)0x37c7, (q15_t)0xc088, (q15_t)0x37ba, (q15_t)0xc089, (q15_t)0x37ae, (q15_t)0xc08b, (q15_t)0x37a1, (q15_t)0xc08d,
+    (q15_t)0x3795, (q15_t)0xc08e, (q15_t)0x3788, (q15_t)0xc090, (q15_t)0x377c, (q15_t)0xc092, (q15_t)0x376f, (q15_t)0xc093,
+    (q15_t)0x3763, (q15_t)0xc095, (q15_t)0x3757, (q15_t)0xc097, (q15_t)0x374a, (q15_t)0xc098, (q15_t)0x373e, (q15_t)0xc09a,
+    (q15_t)0x3731, (q15_t)0xc09c, (q15_t)0x3725, (q15_t)0xc09e, (q15_t)0x3718, (q15_t)0xc09f, (q15_t)0x370c, (q15_t)0xc0a1,
+    (q15_t)0x36ff, (q15_t)0xc0a3, (q15_t)0x36f3, (q15_t)0xc0a5, (q15_t)0x36e7, (q15_t)0xc0a6, (q15_t)0x36da, (q15_t)0xc0a8,
+    (q15_t)0x36ce, (q15_t)0xc0aa, (q15_t)0x36c1, (q15_t)0xc0ac, (q15_t)0x36b5, (q15_t)0xc0ae, (q15_t)0x36a8, (q15_t)0xc0af,
+    (q15_t)0x369c, (q15_t)0xc0b1, (q15_t)0x3690, (q15_t)0xc0b3, (q15_t)0x3683, (q15_t)0xc0b5, (q15_t)0x3677, (q15_t)0xc0b7,
+    (q15_t)0x366a, (q15_t)0xc0b9, (q15_t)0x365e, (q15_t)0xc0bb, (q15_t)0x3651, (q15_t)0xc0bd, (q15_t)0x3645, (q15_t)0xc0be,
+    (q15_t)0x3639, (q15_t)0xc0c0, (q15_t)0x362c, (q15_t)0xc0c2, (q15_t)0x3620, (q15_t)0xc0c4, (q15_t)0x3613, (q15_t)0xc0c6,
+    (q15_t)0x3607, (q15_t)0xc0c8, (q15_t)0x35fa, (q15_t)0xc0ca, (q15_t)0x35ee, (q15_t)0xc0cc, (q15_t)0x35e2, (q15_t)0xc0ce,
+    (q15_t)0x35d5, (q15_t)0xc0d0, (q15_t)0x35c9, (q15_t)0xc0d2, (q15_t)0x35bc, (q15_t)0xc0d4, (q15_t)0x35b0, (q15_t)0xc0d6,
+    (q15_t)0x35a4, (q15_t)0xc0d8, (q15_t)0x3597, (q15_t)0xc0da, (q15_t)0x358b, (q15_t)0xc0dc, (q15_t)0x357e, (q15_t)0xc0de,
+    (q15_t)0x3572, (q15_t)0xc0e0, (q15_t)0x3566, (q15_t)0xc0e2, (q15_t)0x3559, (q15_t)0xc0e4, (q15_t)0x354d, (q15_t)0xc0e7,
+    (q15_t)0x3540, (q15_t)0xc0e9, (q15_t)0x3534, (q15_t)0xc0eb, (q15_t)0x3528, (q15_t)0xc0ed, (q15_t)0x351b, (q15_t)0xc0ef,
+    (q15_t)0x350f, (q15_t)0xc0f1, (q15_t)0x3503, (q15_t)0xc0f3, (q15_t)0x34f6, (q15_t)0xc0f6, (q15_t)0x34ea, (q15_t)0xc0f8,
+    (q15_t)0x34dd, (q15_t)0xc0fa, (q15_t)0x34d1, (q15_t)0xc0fc, (q15_t)0x34c5, (q15_t)0xc0fe, (q15_t)0x34b8, (q15_t)0xc100,
+    (q15_t)0x34ac, (q15_t)0xc103, (q15_t)0x34a0, (q15_t)0xc105, (q15_t)0x3493, (q15_t)0xc107, (q15_t)0x3487, (q15_t)0xc109,
+    (q15_t)0x347b, (q15_t)0xc10c, (q15_t)0x346e, (q15_t)0xc10e, (q15_t)0x3462, (q15_t)0xc110, (q15_t)0x3455, (q15_t)0xc113,
+    (q15_t)0x3449, (q15_t)0xc115, (q15_t)0x343d, (q15_t)0xc117, (q15_t)0x3430, (q15_t)0xc119, (q15_t)0x3424, (q15_t)0xc11c,
+    (q15_t)0x3418, (q15_t)0xc11e, (q15_t)0x340b, (q15_t)0xc120, (q15_t)0x33ff, (q15_t)0xc123, (q15_t)0x33f3, (q15_t)0xc125,
+    (q15_t)0x33e6, (q15_t)0xc128, (q15_t)0x33da, (q15_t)0xc12a, (q15_t)0x33ce, (q15_t)0xc12c, (q15_t)0x33c1, (q15_t)0xc12f,
+    (q15_t)0x33b5, (q15_t)0xc131, (q15_t)0x33a9, (q15_t)0xc134, (q15_t)0x339c, (q15_t)0xc136, (q15_t)0x3390, (q15_t)0xc138,
+    (q15_t)0x3384, (q15_t)0xc13b, (q15_t)0x3377, (q15_t)0xc13d, (q15_t)0x336b, (q15_t)0xc140, (q15_t)0x335f, (q15_t)0xc142,
+    (q15_t)0x3352, (q15_t)0xc145, (q15_t)0x3346, (q15_t)0xc147, (q15_t)0x333a, (q15_t)0xc14a, (q15_t)0x332d, (q15_t)0xc14c,
+    (q15_t)0x3321, (q15_t)0xc14f, (q15_t)0x3315, (q15_t)0xc151, (q15_t)0x3308, (q15_t)0xc154, (q15_t)0x32fc, (q15_t)0xc156,
+    (q15_t)0x32f0, (q15_t)0xc159, (q15_t)0x32e4, (q15_t)0xc15b, (q15_t)0x32d7, (q15_t)0xc15e, (q15_t)0x32cb, (q15_t)0xc161,
+    (q15_t)0x32bf, (q15_t)0xc163, (q15_t)0x32b2, (q15_t)0xc166, (q15_t)0x32a6, (q15_t)0xc168, (q15_t)0x329a, (q15_t)0xc16b,
+    (q15_t)0x328e, (q15_t)0xc16e, (q15_t)0x3281, (q15_t)0xc170, (q15_t)0x3275, (q15_t)0xc173, (q15_t)0x3269, (q15_t)0xc176,
+    (q15_t)0x325c, (q15_t)0xc178, (q15_t)0x3250, (q15_t)0xc17b, (q15_t)0x3244, (q15_t)0xc17e, (q15_t)0x3238, (q15_t)0xc180,
+    (q15_t)0x322b, (q15_t)0xc183, (q15_t)0x321f, (q15_t)0xc186, (q15_t)0x3213, (q15_t)0xc189, (q15_t)0x3207, (q15_t)0xc18b,
+    (q15_t)0x31fa, (q15_t)0xc18e, (q15_t)0x31ee, (q15_t)0xc191, (q15_t)0x31e2, (q15_t)0xc194, (q15_t)0x31d5, (q15_t)0xc196,
+    (q15_t)0x31c9, (q15_t)0xc199, (q15_t)0x31bd, (q15_t)0xc19c, (q15_t)0x31b1, (q15_t)0xc19f, (q15_t)0x31a4, (q15_t)0xc1a2,
+    (q15_t)0x3198, (q15_t)0xc1a4, (q15_t)0x318c, (q15_t)0xc1a7, (q15_t)0x3180, (q15_t)0xc1aa, (q15_t)0x3174, (q15_t)0xc1ad,
+    (q15_t)0x3167, (q15_t)0xc1b0, (q15_t)0x315b, (q15_t)0xc1b3, (q15_t)0x314f, (q15_t)0xc1b6, (q15_t)0x3143, (q15_t)0xc1b8,
+    (q15_t)0x3136, (q15_t)0xc1bb, (q15_t)0x312a, (q15_t)0xc1be, (q15_t)0x311e, (q15_t)0xc1c1, (q15_t)0x3112, (q15_t)0xc1c4,
+    (q15_t)0x3105, (q15_t)0xc1c7, (q15_t)0x30f9, (q15_t)0xc1ca, (q15_t)0x30ed, (q15_t)0xc1cd, (q15_t)0x30e1, (q15_t)0xc1d0,
+    (q15_t)0x30d5, (q15_t)0xc1d3, (q15_t)0x30c8, (q15_t)0xc1d6, (q15_t)0x30bc, (q15_t)0xc1d9, (q15_t)0x30b0, (q15_t)0xc1dc,
+    (q15_t)0x30a4, (q15_t)0xc1df, (q15_t)0x3098, (q15_t)0xc1e2, (q15_t)0x308b, (q15_t)0xc1e5, (q15_t)0x307f, (q15_t)0xc1e8,
+    (q15_t)0x3073, (q15_t)0xc1eb, (q15_t)0x3067, (q15_t)0xc1ee, (q15_t)0x305b, (q15_t)0xc1f1, (q15_t)0x304e, (q15_t)0xc1f4,
+    (q15_t)0x3042, (q15_t)0xc1f7, (q15_t)0x3036, (q15_t)0xc1fa, (q15_t)0x302a, (q15_t)0xc1fd, (q15_t)0x301e, (q15_t)0xc201,
+    (q15_t)0x3012, (q15_t)0xc204, (q15_t)0x3005, (q15_t)0xc207, (q15_t)0x2ff9, (q15_t)0xc20a, (q15_t)0x2fed, (q15_t)0xc20d,
+    (q15_t)0x2fe1, (q15_t)0xc210, (q15_t)0x2fd5, (q15_t)0xc213, (q15_t)0x2fc9, (q15_t)0xc217, (q15_t)0x2fbc, (q15_t)0xc21a,
+    (q15_t)0x2fb0, (q15_t)0xc21d, (q15_t)0x2fa4, (q15_t)0xc220, (q15_t)0x2f98, (q15_t)0xc223, (q15_t)0x2f8c, (q15_t)0xc227,
+    (q15_t)0x2f80, (q15_t)0xc22a, (q15_t)0x2f74, (q15_t)0xc22d, (q15_t)0x2f67, (q15_t)0xc230, (q15_t)0x2f5b, (q15_t)0xc234,
+    (q15_t)0x2f4f, (q15_t)0xc237, (q15_t)0x2f43, (q15_t)0xc23a, (q15_t)0x2f37, (q15_t)0xc23e, (q15_t)0x2f2b, (q15_t)0xc241,
+    (q15_t)0x2f1f, (q15_t)0xc244, (q15_t)0x2f13, (q15_t)0xc247, (q15_t)0x2f06, (q15_t)0xc24b, (q15_t)0x2efa, (q15_t)0xc24e,
+    (q15_t)0x2eee, (q15_t)0xc251, (q15_t)0x2ee2, (q15_t)0xc255, (q15_t)0x2ed6, (q15_t)0xc258, (q15_t)0x2eca, (q15_t)0xc25c,
+    (q15_t)0x2ebe, (q15_t)0xc25f, (q15_t)0x2eb2, (q15_t)0xc262, (q15_t)0x2ea6, (q15_t)0xc266, (q15_t)0x2e99, (q15_t)0xc269,
+    (q15_t)0x2e8d, (q15_t)0xc26d, (q15_t)0x2e81, (q15_t)0xc270, (q15_t)0x2e75, (q15_t)0xc273, (q15_t)0x2e69, (q15_t)0xc277,
+    (q15_t)0x2e5d, (q15_t)0xc27a, (q15_t)0x2e51, (q15_t)0xc27e, (q15_t)0x2e45, (q15_t)0xc281, (q15_t)0x2e39, (q15_t)0xc285,
+    (q15_t)0x2e2d, (q15_t)0xc288, (q15_t)0x2e21, (q15_t)0xc28c, (q15_t)0x2e15, (q15_t)0xc28f, (q15_t)0x2e09, (q15_t)0xc293,
+    (q15_t)0x2dfc, (q15_t)0xc296, (q15_t)0x2df0, (q15_t)0xc29a, (q15_t)0x2de4, (q15_t)0xc29d, (q15_t)0x2dd8, (q15_t)0xc2a1,
+    (q15_t)0x2dcc, (q15_t)0xc2a5, (q15_t)0x2dc0, (q15_t)0xc2a8, (q15_t)0x2db4, (q15_t)0xc2ac, (q15_t)0x2da8, (q15_t)0xc2af,
+    (q15_t)0x2d9c, (q15_t)0xc2b3, (q15_t)0x2d90, (q15_t)0xc2b7, (q15_t)0x2d84, (q15_t)0xc2ba, (q15_t)0x2d78, (q15_t)0xc2be,
+    (q15_t)0x2d6c, (q15_t)0xc2c1, (q15_t)0x2d60, (q15_t)0xc2c5, (q15_t)0x2d54, (q15_t)0xc2c9, (q15_t)0x2d48, (q15_t)0xc2cc,
+    (q15_t)0x2d3c, (q15_t)0xc2d0, (q15_t)0x2d30, (q15_t)0xc2d4, (q15_t)0x2d24, (q15_t)0xc2d8, (q15_t)0x2d18, (q15_t)0xc2db,
+    (q15_t)0x2d0c, (q15_t)0xc2df, (q15_t)0x2d00, (q15_t)0xc2e3, (q15_t)0x2cf4, (q15_t)0xc2e6, (q15_t)0x2ce8, (q15_t)0xc2ea,
+    (q15_t)0x2cdc, (q15_t)0xc2ee, (q15_t)0x2cd0, (q15_t)0xc2f2, (q15_t)0x2cc4, (q15_t)0xc2f5, (q15_t)0x2cb8, (q15_t)0xc2f9,
+    (q15_t)0x2cac, (q15_t)0xc2fd, (q15_t)0x2ca0, (q15_t)0xc301, (q15_t)0x2c94, (q15_t)0xc305, (q15_t)0x2c88, (q15_t)0xc308,
+    (q15_t)0x2c7c, (q15_t)0xc30c, (q15_t)0x2c70, (q15_t)0xc310, (q15_t)0x2c64, (q15_t)0xc314, (q15_t)0x2c58, (q15_t)0xc318,
+    (q15_t)0x2c4c, (q15_t)0xc31c, (q15_t)0x2c40, (q15_t)0xc320, (q15_t)0x2c34, (q15_t)0xc323, (q15_t)0x2c28, (q15_t)0xc327,
+    (q15_t)0x2c1c, (q15_t)0xc32b, (q15_t)0x2c10, (q15_t)0xc32f, (q15_t)0x2c05, (q15_t)0xc333, (q15_t)0x2bf9, (q15_t)0xc337,
+    (q15_t)0x2bed, (q15_t)0xc33b, (q15_t)0x2be1, (q15_t)0xc33f, (q15_t)0x2bd5, (q15_t)0xc343, (q15_t)0x2bc9, (q15_t)0xc347,
+    (q15_t)0x2bbd, (q15_t)0xc34b, (q15_t)0x2bb1, (q15_t)0xc34f, (q15_t)0x2ba5, (q15_t)0xc353, (q15_t)0x2b99, (q15_t)0xc357,
+    (q15_t)0x2b8d, (q15_t)0xc35b, (q15_t)0x2b81, (q15_t)0xc35f, (q15_t)0x2b75, (q15_t)0xc363, (q15_t)0x2b6a, (q15_t)0xc367,
+    (q15_t)0x2b5e, (q15_t)0xc36b, (q15_t)0x2b52, (q15_t)0xc36f, (q15_t)0x2b46, (q15_t)0xc373, (q15_t)0x2b3a, (q15_t)0xc377,
+    (q15_t)0x2b2e, (q15_t)0xc37b, (q15_t)0x2b22, (q15_t)0xc37f, (q15_t)0x2b16, (q15_t)0xc383, (q15_t)0x2b0a, (q15_t)0xc387,
+    (q15_t)0x2aff, (q15_t)0xc38c, (q15_t)0x2af3, (q15_t)0xc390, (q15_t)0x2ae7, (q15_t)0xc394, (q15_t)0x2adb, (q15_t)0xc398,
+    (q15_t)0x2acf, (q15_t)0xc39c, (q15_t)0x2ac3, (q15_t)0xc3a0, (q15_t)0x2ab7, (q15_t)0xc3a5, (q15_t)0x2aac, (q15_t)0xc3a9,
+    (q15_t)0x2aa0, (q15_t)0xc3ad, (q15_t)0x2a94, (q15_t)0xc3b1, (q15_t)0x2a88, (q15_t)0xc3b5, (q15_t)0x2a7c, (q15_t)0xc3ba,
+    (q15_t)0x2a70, (q15_t)0xc3be, (q15_t)0x2a65, (q15_t)0xc3c2, (q15_t)0x2a59, (q15_t)0xc3c6, (q15_t)0x2a4d, (q15_t)0xc3ca,
+    (q15_t)0x2a41, (q15_t)0xc3cf, (q15_t)0x2a35, (q15_t)0xc3d3, (q15_t)0x2a29, (q15_t)0xc3d7, (q15_t)0x2a1e, (q15_t)0xc3dc,
+    (q15_t)0x2a12, (q15_t)0xc3e0, (q15_t)0x2a06, (q15_t)0xc3e4, (q15_t)0x29fa, (q15_t)0xc3e9, (q15_t)0x29ee, (q15_t)0xc3ed,
+    (q15_t)0x29e3, (q15_t)0xc3f1, (q15_t)0x29d7, (q15_t)0xc3f6, (q15_t)0x29cb, (q15_t)0xc3fa, (q15_t)0x29bf, (q15_t)0xc3fe,
+    (q15_t)0x29b4, (q15_t)0xc403, (q15_t)0x29a8, (q15_t)0xc407, (q15_t)0x299c, (q15_t)0xc40b, (q15_t)0x2990, (q15_t)0xc410,
+    (q15_t)0x2984, (q15_t)0xc414, (q15_t)0x2979, (q15_t)0xc419, (q15_t)0x296d, (q15_t)0xc41d, (q15_t)0x2961, (q15_t)0xc422,
+    (q15_t)0x2955, (q15_t)0xc426, (q15_t)0x294a, (q15_t)0xc42a, (q15_t)0x293e, (q15_t)0xc42f, (q15_t)0x2932, (q15_t)0xc433,
+    (q15_t)0x2926, (q15_t)0xc438, (q15_t)0x291b, (q15_t)0xc43c, (q15_t)0x290f, (q15_t)0xc441, (q15_t)0x2903, (q15_t)0xc445,
+    (q15_t)0x28f7, (q15_t)0xc44a, (q15_t)0x28ec, (q15_t)0xc44e, (q15_t)0x28e0, (q15_t)0xc453, (q15_t)0x28d4, (q15_t)0xc457,
+    (q15_t)0x28c9, (q15_t)0xc45c, (q15_t)0x28bd, (q15_t)0xc461, (q15_t)0x28b1, (q15_t)0xc465, (q15_t)0x28a5, (q15_t)0xc46a,
+    (q15_t)0x289a, (q15_t)0xc46e, (q15_t)0x288e, (q15_t)0xc473, (q15_t)0x2882, (q15_t)0xc478, (q15_t)0x2877, (q15_t)0xc47c,
+    (q15_t)0x286b, (q15_t)0xc481, (q15_t)0x285f, (q15_t)0xc485, (q15_t)0x2854, (q15_t)0xc48a, (q15_t)0x2848, (q15_t)0xc48f,
+    (q15_t)0x283c, (q15_t)0xc493, (q15_t)0x2831, (q15_t)0xc498, (q15_t)0x2825, (q15_t)0xc49d, (q15_t)0x2819, (q15_t)0xc4a1,
+    (q15_t)0x280e, (q15_t)0xc4a6, (q15_t)0x2802, (q15_t)0xc4ab, (q15_t)0x27f6, (q15_t)0xc4b0, (q15_t)0x27eb, (q15_t)0xc4b4,
+    (q15_t)0x27df, (q15_t)0xc4b9, (q15_t)0x27d3, (q15_t)0xc4be, (q15_t)0x27c8, (q15_t)0xc4c2, (q15_t)0x27bc, (q15_t)0xc4c7,
+    (q15_t)0x27b1, (q15_t)0xc4cc, (q15_t)0x27a5, (q15_t)0xc4d1, (q15_t)0x2799, (q15_t)0xc4d6, (q15_t)0x278e, (q15_t)0xc4da,
+    (q15_t)0x2782, (q15_t)0xc4df, (q15_t)0x2777, (q15_t)0xc4e4, (q15_t)0x276b, (q15_t)0xc4e9, (q15_t)0x275f, (q15_t)0xc4ee,
+    (q15_t)0x2754, (q15_t)0xc4f2, (q15_t)0x2748, (q15_t)0xc4f7, (q15_t)0x273d, (q15_t)0xc4fc, (q15_t)0x2731, (q15_t)0xc501,
+    (q15_t)0x2725, (q15_t)0xc506, (q15_t)0x271a, (q15_t)0xc50b, (q15_t)0x270e, (q15_t)0xc510, (q15_t)0x2703, (q15_t)0xc515,
+    (q15_t)0x26f7, (q15_t)0xc51a, (q15_t)0x26ec, (q15_t)0xc51e, (q15_t)0x26e0, (q15_t)0xc523, (q15_t)0x26d4, (q15_t)0xc528,
+    (q15_t)0x26c9, (q15_t)0xc52d, (q15_t)0x26bd, (q15_t)0xc532, (q15_t)0x26b2, (q15_t)0xc537, (q15_t)0x26a6, (q15_t)0xc53c,
+    (q15_t)0x269b, (q15_t)0xc541, (q15_t)0x268f, (q15_t)0xc546, (q15_t)0x2684, (q15_t)0xc54b, (q15_t)0x2678, (q15_t)0xc550,
+    (q15_t)0x266d, (q15_t)0xc555, (q15_t)0x2661, (q15_t)0xc55a, (q15_t)0x2656, (q15_t)0xc55f, (q15_t)0x264a, (q15_t)0xc564,
+    (q15_t)0x263f, (q15_t)0xc569, (q15_t)0x2633, (q15_t)0xc56e, (q15_t)0x2628, (q15_t)0xc573, (q15_t)0x261c, (q15_t)0xc578,
+    (q15_t)0x2611, (q15_t)0xc57e, (q15_t)0x2605, (q15_t)0xc583, (q15_t)0x25fa, (q15_t)0xc588, (q15_t)0x25ee, (q15_t)0xc58d,
+    (q15_t)0x25e3, (q15_t)0xc592, (q15_t)0x25d7, (q15_t)0xc597, (q15_t)0x25cc, (q15_t)0xc59c, (q15_t)0x25c0, (q15_t)0xc5a1,
+    (q15_t)0x25b5, (q15_t)0xc5a7, (q15_t)0x25a9, (q15_t)0xc5ac, (q15_t)0x259e, (q15_t)0xc5b1, (q15_t)0x2592, (q15_t)0xc5b6,
+    (q15_t)0x2587, (q15_t)0xc5bb, (q15_t)0x257c, (q15_t)0xc5c1, (q15_t)0x2570, (q15_t)0xc5c6, (q15_t)0x2565, (q15_t)0xc5cb,
+    (q15_t)0x2559, (q15_t)0xc5d0, (q15_t)0x254e, (q15_t)0xc5d5, (q15_t)0x2542, (q15_t)0xc5db, (q15_t)0x2537, (q15_t)0xc5e0,
+    (q15_t)0x252c, (q15_t)0xc5e5, (q15_t)0x2520, (q15_t)0xc5ea, (q15_t)0x2515, (q15_t)0xc5f0, (q15_t)0x2509, (q15_t)0xc5f5,
+    (q15_t)0x24fe, (q15_t)0xc5fa, (q15_t)0x24f3, (q15_t)0xc600, (q15_t)0x24e7, (q15_t)0xc605, (q15_t)0x24dc, (q15_t)0xc60a,
+    (q15_t)0x24d0, (q15_t)0xc610, (q15_t)0x24c5, (q15_t)0xc615, (q15_t)0x24ba, (q15_t)0xc61a, (q15_t)0x24ae, (q15_t)0xc620,
+    (q15_t)0x24a3, (q15_t)0xc625, (q15_t)0x2498, (q15_t)0xc62a, (q15_t)0x248c, (q15_t)0xc630, (q15_t)0x2481, (q15_t)0xc635,
+    (q15_t)0x2476, (q15_t)0xc63b, (q15_t)0x246a, (q15_t)0xc640, (q15_t)0x245f, (q15_t)0xc645, (q15_t)0x2454, (q15_t)0xc64b,
+    (q15_t)0x2448, (q15_t)0xc650, (q15_t)0x243d, (q15_t)0xc656, (q15_t)0x2432, (q15_t)0xc65b, (q15_t)0x2426, (q15_t)0xc661,
+    (q15_t)0x241b, (q15_t)0xc666, (q15_t)0x2410, (q15_t)0xc66c, (q15_t)0x2404, (q15_t)0xc671, (q15_t)0x23f9, (q15_t)0xc677,
+    (q15_t)0x23ee, (q15_t)0xc67c, (q15_t)0x23e2, (q15_t)0xc682, (q15_t)0x23d7, (q15_t)0xc687, (q15_t)0x23cc, (q15_t)0xc68d,
+    (q15_t)0x23c1, (q15_t)0xc692, (q15_t)0x23b5, (q15_t)0xc698, (q15_t)0x23aa, (q15_t)0xc69d, (q15_t)0x239f, (q15_t)0xc6a3,
+    (q15_t)0x2394, (q15_t)0xc6a8, (q15_t)0x2388, (q15_t)0xc6ae, (q15_t)0x237d, (q15_t)0xc6b4, (q15_t)0x2372, (q15_t)0xc6b9,
+    (q15_t)0x2367, (q15_t)0xc6bf, (q15_t)0x235b, (q15_t)0xc6c5, (q15_t)0x2350, (q15_t)0xc6ca, (q15_t)0x2345, (q15_t)0xc6d0,
+    (q15_t)0x233a, (q15_t)0xc6d5, (q15_t)0x232e, (q15_t)0xc6db, (q15_t)0x2323, (q15_t)0xc6e1, (q15_t)0x2318, (q15_t)0xc6e6,
+    (q15_t)0x230d, (q15_t)0xc6ec, (q15_t)0x2301, (q15_t)0xc6f2, (q15_t)0x22f6, (q15_t)0xc6f7, (q15_t)0x22eb, (q15_t)0xc6fd,
+    (q15_t)0x22e0, (q15_t)0xc703, (q15_t)0x22d5, (q15_t)0xc709, (q15_t)0x22ca, (q15_t)0xc70e, (q15_t)0x22be, (q15_t)0xc714,
+    (q15_t)0x22b3, (q15_t)0xc71a, (q15_t)0x22a8, (q15_t)0xc720, (q15_t)0x229d, (q15_t)0xc725, (q15_t)0x2292, (q15_t)0xc72b,
+    (q15_t)0x2287, (q15_t)0xc731, (q15_t)0x227b, (q15_t)0xc737, (q15_t)0x2270, (q15_t)0xc73d, (q15_t)0x2265, (q15_t)0xc742,
+    (q15_t)0x225a, (q15_t)0xc748, (q15_t)0x224f, (q15_t)0xc74e, (q15_t)0x2244, (q15_t)0xc754, (q15_t)0x2239, (q15_t)0xc75a,
+    (q15_t)0x222d, (q15_t)0xc75f, (q15_t)0x2222, (q15_t)0xc765, (q15_t)0x2217, (q15_t)0xc76b, (q15_t)0x220c, (q15_t)0xc771,
+    (q15_t)0x2201, (q15_t)0xc777, (q15_t)0x21f6, (q15_t)0xc77d, (q15_t)0x21eb, (q15_t)0xc783, (q15_t)0x21e0, (q15_t)0xc789,
+    (q15_t)0x21d5, (q15_t)0xc78f, (q15_t)0x21ca, (q15_t)0xc795, (q15_t)0x21be, (q15_t)0xc79a, (q15_t)0x21b3, (q15_t)0xc7a0,
+    (q15_t)0x21a8, (q15_t)0xc7a6, (q15_t)0x219d, (q15_t)0xc7ac, (q15_t)0x2192, (q15_t)0xc7b2, (q15_t)0x2187, (q15_t)0xc7b8,
+    (q15_t)0x217c, (q15_t)0xc7be, (q15_t)0x2171, (q15_t)0xc7c4, (q15_t)0x2166, (q15_t)0xc7ca, (q15_t)0x215b, (q15_t)0xc7d0,
+    (q15_t)0x2150, (q15_t)0xc7d6, (q15_t)0x2145, (q15_t)0xc7dc, (q15_t)0x213a, (q15_t)0xc7e2, (q15_t)0x212f, (q15_t)0xc7e8,
+    (q15_t)0x2124, (q15_t)0xc7ee, (q15_t)0x2119, (q15_t)0xc7f5, (q15_t)0x210e, (q15_t)0xc7fb, (q15_t)0x2103, (q15_t)0xc801,
+    (q15_t)0x20f8, (q15_t)0xc807, (q15_t)0x20ed, (q15_t)0xc80d, (q15_t)0x20e2, (q15_t)0xc813, (q15_t)0x20d7, (q15_t)0xc819,
+    (q15_t)0x20cc, (q15_t)0xc81f, (q15_t)0x20c1, (q15_t)0xc825, (q15_t)0x20b6, (q15_t)0xc82b, (q15_t)0x20ab, (q15_t)0xc832,
+    (q15_t)0x20a0, (q15_t)0xc838, (q15_t)0x2095, (q15_t)0xc83e, (q15_t)0x208a, (q15_t)0xc844, (q15_t)0x207f, (q15_t)0xc84a,
+    (q15_t)0x2074, (q15_t)0xc850, (q15_t)0x2069, (q15_t)0xc857, (q15_t)0x205e, (q15_t)0xc85d, (q15_t)0x2054, (q15_t)0xc863,
+    (q15_t)0x2049, (q15_t)0xc869, (q15_t)0x203e, (q15_t)0xc870, (q15_t)0x2033, (q15_t)0xc876, (q15_t)0x2028, (q15_t)0xc87c,
+    (q15_t)0x201d, (q15_t)0xc882, (q15_t)0x2012, (q15_t)0xc889, (q15_t)0x2007, (q15_t)0xc88f, (q15_t)0x1ffc, (q15_t)0xc895,
+    (q15_t)0x1ff1, (q15_t)0xc89b, (q15_t)0x1fe7, (q15_t)0xc8a2, (q15_t)0x1fdc, (q15_t)0xc8a8, (q15_t)0x1fd1, (q15_t)0xc8ae,
+    (q15_t)0x1fc6, (q15_t)0xc8b5, (q15_t)0x1fbb, (q15_t)0xc8bb, (q15_t)0x1fb0, (q15_t)0xc8c1, (q15_t)0x1fa5, (q15_t)0xc8c8,
+    (q15_t)0x1f9b, (q15_t)0xc8ce, (q15_t)0x1f90, (q15_t)0xc8d4, (q15_t)0x1f85, (q15_t)0xc8db, (q15_t)0x1f7a, (q15_t)0xc8e1,
+    (q15_t)0x1f6f, (q15_t)0xc8e8, (q15_t)0x1f65, (q15_t)0xc8ee, (q15_t)0x1f5a, (q15_t)0xc8f4, (q15_t)0x1f4f, (q15_t)0xc8fb,
+    (q15_t)0x1f44, (q15_t)0xc901, (q15_t)0x1f39, (q15_t)0xc908, (q15_t)0x1f2f, (q15_t)0xc90e, (q15_t)0x1f24, (q15_t)0xc915,
+    (q15_t)0x1f19, (q15_t)0xc91b, (q15_t)0x1f0e, (q15_t)0xc921, (q15_t)0x1f03, (q15_t)0xc928, (q15_t)0x1ef9, (q15_t)0xc92e,
+    (q15_t)0x1eee, (q15_t)0xc935, (q15_t)0x1ee3, (q15_t)0xc93b, (q15_t)0x1ed8, (q15_t)0xc942, (q15_t)0x1ece, (q15_t)0xc948,
+    (q15_t)0x1ec3, (q15_t)0xc94f, (q15_t)0x1eb8, (q15_t)0xc955, (q15_t)0x1ead, (q15_t)0xc95c, (q15_t)0x1ea3, (q15_t)0xc963,
+    (q15_t)0x1e98, (q15_t)0xc969, (q15_t)0x1e8d, (q15_t)0xc970, (q15_t)0x1e83, (q15_t)0xc976, (q15_t)0x1e78, (q15_t)0xc97d,
+    (q15_t)0x1e6d, (q15_t)0xc983, (q15_t)0x1e62, (q15_t)0xc98a, (q15_t)0x1e58, (q15_t)0xc991, (q15_t)0x1e4d, (q15_t)0xc997,
+    (q15_t)0x1e42, (q15_t)0xc99e, (q15_t)0x1e38, (q15_t)0xc9a4, (q15_t)0x1e2d, (q15_t)0xc9ab, (q15_t)0x1e22, (q15_t)0xc9b2,
+    (q15_t)0x1e18, (q15_t)0xc9b8, (q15_t)0x1e0d, (q15_t)0xc9bf, (q15_t)0x1e02, (q15_t)0xc9c6, (q15_t)0x1df8, (q15_t)0xc9cc,
+    (q15_t)0x1ded, (q15_t)0xc9d3, (q15_t)0x1de2, (q15_t)0xc9da, (q15_t)0x1dd8, (q15_t)0xc9e0, (q15_t)0x1dcd, (q15_t)0xc9e7,
+    (q15_t)0x1dc3, (q15_t)0xc9ee, (q15_t)0x1db8, (q15_t)0xc9f5, (q15_t)0x1dad, (q15_t)0xc9fb, (q15_t)0x1da3, (q15_t)0xca02,
+    (q15_t)0x1d98, (q15_t)0xca09, (q15_t)0x1d8e, (q15_t)0xca10, (q15_t)0x1d83, (q15_t)0xca16, (q15_t)0x1d78, (q15_t)0xca1d,
+    (q15_t)0x1d6e, (q15_t)0xca24, (q15_t)0x1d63, (q15_t)0xca2b, (q15_t)0x1d59, (q15_t)0xca32, (q15_t)0x1d4e, (q15_t)0xca38,
+    (q15_t)0x1d44, (q15_t)0xca3f, (q15_t)0x1d39, (q15_t)0xca46, (q15_t)0x1d2e, (q15_t)0xca4d, (q15_t)0x1d24, (q15_t)0xca54,
+    (q15_t)0x1d19, (q15_t)0xca5b, (q15_t)0x1d0f, (q15_t)0xca61, (q15_t)0x1d04, (q15_t)0xca68, (q15_t)0x1cfa, (q15_t)0xca6f,
+    (q15_t)0x1cef, (q15_t)0xca76, (q15_t)0x1ce5, (q15_t)0xca7d, (q15_t)0x1cda, (q15_t)0xca84, (q15_t)0x1cd0, (q15_t)0xca8b,
+    (q15_t)0x1cc5, (q15_t)0xca92, (q15_t)0x1cbb, (q15_t)0xca99, (q15_t)0x1cb0, (q15_t)0xca9f, (q15_t)0x1ca6, (q15_t)0xcaa6,
+    (q15_t)0x1c9b, (q15_t)0xcaad, (q15_t)0x1c91, (q15_t)0xcab4, (q15_t)0x1c86, (q15_t)0xcabb, (q15_t)0x1c7c, (q15_t)0xcac2,
+    (q15_t)0x1c72, (q15_t)0xcac9, (q15_t)0x1c67, (q15_t)0xcad0, (q15_t)0x1c5d, (q15_t)0xcad7, (q15_t)0x1c52, (q15_t)0xcade,
+    (q15_t)0x1c48, (q15_t)0xcae5, (q15_t)0x1c3d, (q15_t)0xcaec, (q15_t)0x1c33, (q15_t)0xcaf3, (q15_t)0x1c29, (q15_t)0xcafa,
+    (q15_t)0x1c1e, (q15_t)0xcb01, (q15_t)0x1c14, (q15_t)0xcb08, (q15_t)0x1c09, (q15_t)0xcb0f, (q15_t)0x1bff, (q15_t)0xcb16,
+    (q15_t)0x1bf5, (q15_t)0xcb1e, (q15_t)0x1bea, (q15_t)0xcb25, (q15_t)0x1be0, (q15_t)0xcb2c, (q15_t)0x1bd5, (q15_t)0xcb33,
+    (q15_t)0x1bcb, (q15_t)0xcb3a, (q15_t)0x1bc1, (q15_t)0xcb41, (q15_t)0x1bb6, (q15_t)0xcb48, (q15_t)0x1bac, (q15_t)0xcb4f,
+    (q15_t)0x1ba2, (q15_t)0xcb56, (q15_t)0x1b97, (q15_t)0xcb5e, (q15_t)0x1b8d, (q15_t)0xcb65, (q15_t)0x1b83, (q15_t)0xcb6c,
+    (q15_t)0x1b78, (q15_t)0xcb73, (q15_t)0x1b6e, (q15_t)0xcb7a, (q15_t)0x1b64, (q15_t)0xcb81, (q15_t)0x1b59, (q15_t)0xcb89,
+    (q15_t)0x1b4f, (q15_t)0xcb90, (q15_t)0x1b45, (q15_t)0xcb97, (q15_t)0x1b3b, (q15_t)0xcb9e, (q15_t)0x1b30, (q15_t)0xcba5,
+    (q15_t)0x1b26, (q15_t)0xcbad, (q15_t)0x1b1c, (q15_t)0xcbb4, (q15_t)0x1b11, (q15_t)0xcbbb, (q15_t)0x1b07, (q15_t)0xcbc2,
+    (q15_t)0x1afd, (q15_t)0xcbca, (q15_t)0x1af3, (q15_t)0xcbd1, (q15_t)0x1ae8, (q15_t)0xcbd8, (q15_t)0x1ade, (q15_t)0xcbe0,
+    (q15_t)0x1ad4, (q15_t)0xcbe7, (q15_t)0x1aca, (q15_t)0xcbee, (q15_t)0x1abf, (q15_t)0xcbf5, (q15_t)0x1ab5, (q15_t)0xcbfd,
+    (q15_t)0x1aab, (q15_t)0xcc04, (q15_t)0x1aa1, (q15_t)0xcc0b, (q15_t)0x1a97, (q15_t)0xcc13, (q15_t)0x1a8c, (q15_t)0xcc1a,
+    (q15_t)0x1a82, (q15_t)0xcc21, (q15_t)0x1a78, (q15_t)0xcc29, (q15_t)0x1a6e, (q15_t)0xcc30, (q15_t)0x1a64, (q15_t)0xcc38,
+    (q15_t)0x1a5a, (q15_t)0xcc3f, (q15_t)0x1a4f, (q15_t)0xcc46, (q15_t)0x1a45, (q15_t)0xcc4e, (q15_t)0x1a3b, (q15_t)0xcc55,
+    (q15_t)0x1a31, (q15_t)0xcc5d, (q15_t)0x1a27, (q15_t)0xcc64, (q15_t)0x1a1d, (q15_t)0xcc6b, (q15_t)0x1a13, (q15_t)0xcc73,
+    (q15_t)0x1a08, (q15_t)0xcc7a, (q15_t)0x19fe, (q15_t)0xcc82, (q15_t)0x19f4, (q15_t)0xcc89, (q15_t)0x19ea, (q15_t)0xcc91,
+    (q15_t)0x19e0, (q15_t)0xcc98, (q15_t)0x19d6, (q15_t)0xcca0, (q15_t)0x19cc, (q15_t)0xcca7, (q15_t)0x19c2, (q15_t)0xccaf,
+    (q15_t)0x19b8, (q15_t)0xccb6, (q15_t)0x19ae, (q15_t)0xccbe, (q15_t)0x19a4, (q15_t)0xccc5, (q15_t)0x199a, (q15_t)0xcccd,
+    (q15_t)0x198f, (q15_t)0xccd4, (q15_t)0x1985, (q15_t)0xccdc, (q15_t)0x197b, (q15_t)0xcce3, (q15_t)0x1971, (q15_t)0xcceb,
+    (q15_t)0x1967, (q15_t)0xccf3, (q15_t)0x195d, (q15_t)0xccfa, (q15_t)0x1953, (q15_t)0xcd02, (q15_t)0x1949, (q15_t)0xcd09,
+    (q15_t)0x193f, (q15_t)0xcd11, (q15_t)0x1935, (q15_t)0xcd19, (q15_t)0x192b, (q15_t)0xcd20, (q15_t)0x1921, (q15_t)0xcd28,
+    (q15_t)0x1917, (q15_t)0xcd30, (q15_t)0x190d, (q15_t)0xcd37, (q15_t)0x1903, (q15_t)0xcd3f, (q15_t)0x18f9, (q15_t)0xcd46,
+    (q15_t)0x18ef, (q15_t)0xcd4e, (q15_t)0x18e6, (q15_t)0xcd56, (q15_t)0x18dc, (q15_t)0xcd5d, (q15_t)0x18d2, (q15_t)0xcd65,
+    (q15_t)0x18c8, (q15_t)0xcd6d, (q15_t)0x18be, (q15_t)0xcd75, (q15_t)0x18b4, (q15_t)0xcd7c, (q15_t)0x18aa, (q15_t)0xcd84,
+    (q15_t)0x18a0, (q15_t)0xcd8c, (q15_t)0x1896, (q15_t)0xcd93, (q15_t)0x188c, (q15_t)0xcd9b, (q15_t)0x1882, (q15_t)0xcda3,
+    (q15_t)0x1878, (q15_t)0xcdab, (q15_t)0x186f, (q15_t)0xcdb2, (q15_t)0x1865, (q15_t)0xcdba, (q15_t)0x185b, (q15_t)0xcdc2,
+    (q15_t)0x1851, (q15_t)0xcdca, (q15_t)0x1847, (q15_t)0xcdd2, (q15_t)0x183d, (q15_t)0xcdd9, (q15_t)0x1833, (q15_t)0xcde1,
+    (q15_t)0x182a, (q15_t)0xcde9, (q15_t)0x1820, (q15_t)0xcdf1, (q15_t)0x1816, (q15_t)0xcdf9, (q15_t)0x180c, (q15_t)0xce01,
+    (q15_t)0x1802, (q15_t)0xce08, (q15_t)0x17f8, (q15_t)0xce10, (q15_t)0x17ef, (q15_t)0xce18, (q15_t)0x17e5, (q15_t)0xce20,
+    (q15_t)0x17db, (q15_t)0xce28, (q15_t)0x17d1, (q15_t)0xce30, (q15_t)0x17c8, (q15_t)0xce38, (q15_t)0x17be, (q15_t)0xce40,
+    (q15_t)0x17b4, (q15_t)0xce47, (q15_t)0x17aa, (q15_t)0xce4f, (q15_t)0x17a0, (q15_t)0xce57, (q15_t)0x1797, (q15_t)0xce5f,
+    (q15_t)0x178d, (q15_t)0xce67, (q15_t)0x1783, (q15_t)0xce6f, (q15_t)0x177a, (q15_t)0xce77, (q15_t)0x1770, (q15_t)0xce7f,
+    (q15_t)0x1766, (q15_t)0xce87, (q15_t)0x175c, (q15_t)0xce8f, (q15_t)0x1753, (q15_t)0xce97, (q15_t)0x1749, (q15_t)0xce9f,
+    (q15_t)0x173f, (q15_t)0xcea7, (q15_t)0x1736, (q15_t)0xceaf, (q15_t)0x172c, (q15_t)0xceb7, (q15_t)0x1722, (q15_t)0xcebf,
+    (q15_t)0x1719, (q15_t)0xcec7, (q15_t)0x170f, (q15_t)0xcecf, (q15_t)0x1705, (q15_t)0xced7, (q15_t)0x16fc, (q15_t)0xcedf,
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+    (q15_t)0xb90, (q15_t)0xdb4f, (q15_t)0xb89, (q15_t)0xdb59, (q15_t)0xb81, (q15_t)0xdb64, (q15_t)0xb7a, (q15_t)0xdb6e,
+    (q15_t)0xb73, (q15_t)0xdb78, (q15_t)0xb6c, (q15_t)0xdb83, (q15_t)0xb65, (q15_t)0xdb8d, (q15_t)0xb5e, (q15_t)0xdb97,
+    (q15_t)0xb56, (q15_t)0xdba2, (q15_t)0xb4f, (q15_t)0xdbac, (q15_t)0xb48, (q15_t)0xdbb6, (q15_t)0xb41, (q15_t)0xdbc1,
+    (q15_t)0xb3a, (q15_t)0xdbcb, (q15_t)0xb33, (q15_t)0xdbd5, (q15_t)0xb2c, (q15_t)0xdbe0, (q15_t)0xb25, (q15_t)0xdbea,
+    (q15_t)0xb1e, (q15_t)0xdbf5, (q15_t)0xb16, (q15_t)0xdbff, (q15_t)0xb0f, (q15_t)0xdc09, (q15_t)0xb08, (q15_t)0xdc14,
+    (q15_t)0xb01, (q15_t)0xdc1e, (q15_t)0xafa, (q15_t)0xdc29, (q15_t)0xaf3, (q15_t)0xdc33, (q15_t)0xaec, (q15_t)0xdc3d,
+    (q15_t)0xae5, (q15_t)0xdc48, (q15_t)0xade, (q15_t)0xdc52, (q15_t)0xad7, (q15_t)0xdc5d, (q15_t)0xad0, (q15_t)0xdc67,
+    (q15_t)0xac9, (q15_t)0xdc72, (q15_t)0xac2, (q15_t)0xdc7c, (q15_t)0xabb, (q15_t)0xdc86, (q15_t)0xab4, (q15_t)0xdc91,
+    (q15_t)0xaad, (q15_t)0xdc9b, (q15_t)0xaa6, (q15_t)0xdca6, (q15_t)0xa9f, (q15_t)0xdcb0, (q15_t)0xa99, (q15_t)0xdcbb,
+    (q15_t)0xa92, (q15_t)0xdcc5, (q15_t)0xa8b, (q15_t)0xdcd0, (q15_t)0xa84, (q15_t)0xdcda, (q15_t)0xa7d, (q15_t)0xdce5,
+    (q15_t)0xa76, (q15_t)0xdcef, (q15_t)0xa6f, (q15_t)0xdcfa, (q15_t)0xa68, (q15_t)0xdd04, (q15_t)0xa61, (q15_t)0xdd0f,
+    (q15_t)0xa5b, (q15_t)0xdd19, (q15_t)0xa54, (q15_t)0xdd24, (q15_t)0xa4d, (q15_t)0xdd2e, (q15_t)0xa46, (q15_t)0xdd39,
+    (q15_t)0xa3f, (q15_t)0xdd44, (q15_t)0xa38, (q15_t)0xdd4e, (q15_t)0xa32, (q15_t)0xdd59, (q15_t)0xa2b, (q15_t)0xdd63,
+    (q15_t)0xa24, (q15_t)0xdd6e, (q15_t)0xa1d, (q15_t)0xdd78, (q15_t)0xa16, (q15_t)0xdd83, (q15_t)0xa10, (q15_t)0xdd8e,
+    (q15_t)0xa09, (q15_t)0xdd98, (q15_t)0xa02, (q15_t)0xdda3, (q15_t)0x9fb, (q15_t)0xddad, (q15_t)0x9f5, (q15_t)0xddb8,
+    (q15_t)0x9ee, (q15_t)0xddc3, (q15_t)0x9e7, (q15_t)0xddcd, (q15_t)0x9e0, (q15_t)0xddd8, (q15_t)0x9da, (q15_t)0xdde2,
+    (q15_t)0x9d3, (q15_t)0xdded, (q15_t)0x9cc, (q15_t)0xddf8, (q15_t)0x9c6, (q15_t)0xde02, (q15_t)0x9bf, (q15_t)0xde0d,
+    (q15_t)0x9b8, (q15_t)0xde18, (q15_t)0x9b2, (q15_t)0xde22, (q15_t)0x9ab, (q15_t)0xde2d, (q15_t)0x9a4, (q15_t)0xde38,
+    (q15_t)0x99e, (q15_t)0xde42, (q15_t)0x997, (q15_t)0xde4d, (q15_t)0x991, (q15_t)0xde58, (q15_t)0x98a, (q15_t)0xde62,
+    (q15_t)0x983, (q15_t)0xde6d, (q15_t)0x97d, (q15_t)0xde78, (q15_t)0x976, (q15_t)0xde83, (q15_t)0x970, (q15_t)0xde8d,
+    (q15_t)0x969, (q15_t)0xde98, (q15_t)0x963, (q15_t)0xdea3, (q15_t)0x95c, (q15_t)0xdead, (q15_t)0x955, (q15_t)0xdeb8,
+    (q15_t)0x94f, (q15_t)0xdec3, (q15_t)0x948, (q15_t)0xdece, (q15_t)0x942, (q15_t)0xded8, (q15_t)0x93b, (q15_t)0xdee3,
+    (q15_t)0x935, (q15_t)0xdeee, (q15_t)0x92e, (q15_t)0xdef9, (q15_t)0x928, (q15_t)0xdf03, (q15_t)0x921, (q15_t)0xdf0e,
+    (q15_t)0x91b, (q15_t)0xdf19, (q15_t)0x915, (q15_t)0xdf24, (q15_t)0x90e, (q15_t)0xdf2f, (q15_t)0x908, (q15_t)0xdf39,
+    (q15_t)0x901, (q15_t)0xdf44, (q15_t)0x8fb, (q15_t)0xdf4f, (q15_t)0x8f4, (q15_t)0xdf5a, (q15_t)0x8ee, (q15_t)0xdf65,
+    (q15_t)0x8e8, (q15_t)0xdf6f, (q15_t)0x8e1, (q15_t)0xdf7a, (q15_t)0x8db, (q15_t)0xdf85, (q15_t)0x8d4, (q15_t)0xdf90,
+    (q15_t)0x8ce, (q15_t)0xdf9b, (q15_t)0x8c8, (q15_t)0xdfa5, (q15_t)0x8c1, (q15_t)0xdfb0, (q15_t)0x8bb, (q15_t)0xdfbb,
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+    (q15_t)0x89b, (q15_t)0xdff1, (q15_t)0x895, (q15_t)0xdffc, (q15_t)0x88f, (q15_t)0xe007, (q15_t)0x889, (q15_t)0xe012,
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+    (q15_t)0x7be, (q15_t)0xe17c, (q15_t)0x7b8, (q15_t)0xe187, (q15_t)0x7b2, (q15_t)0xe192, (q15_t)0x7ac, (q15_t)0xe19d,
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+    (q15_t)0x5a7, (q15_t)0xe5b5, (q15_t)0x5a1, (q15_t)0xe5c0, (q15_t)0x59c, (q15_t)0xe5cc, (q15_t)0x597, (q15_t)0xe5d7,
+    (q15_t)0x592, (q15_t)0xe5e3, (q15_t)0x58d, (q15_t)0xe5ee, (q15_t)0x588, (q15_t)0xe5fa, (q15_t)0x583, (q15_t)0xe605,
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+    (q15_t)0x52d, (q15_t)0xe6c9, (q15_t)0x528, (q15_t)0xe6d4, (q15_t)0x523, (q15_t)0xe6e0, (q15_t)0x51e, (q15_t)0xe6ec,
+    (q15_t)0x51a, (q15_t)0xe6f7, (q15_t)0x515, (q15_t)0xe703, (q15_t)0x510, (q15_t)0xe70e, (q15_t)0x50b, (q15_t)0xe71a,
+    (q15_t)0x506, (q15_t)0xe725, (q15_t)0x501, (q15_t)0xe731, (q15_t)0x4fc, (q15_t)0xe73d, (q15_t)0x4f7, (q15_t)0xe748,
+    (q15_t)0x4f2, (q15_t)0xe754, (q15_t)0x4ee, (q15_t)0xe75f, (q15_t)0x4e9, (q15_t)0xe76b, (q15_t)0x4e4, (q15_t)0xe777,
+    (q15_t)0x4df, (q15_t)0xe782, (q15_t)0x4da, (q15_t)0xe78e, (q15_t)0x4d6, (q15_t)0xe799, (q15_t)0x4d1, (q15_t)0xe7a5,
+    (q15_t)0x4cc, (q15_t)0xe7b1, (q15_t)0x4c7, (q15_t)0xe7bc, (q15_t)0x4c2, (q15_t)0xe7c8, (q15_t)0x4be, (q15_t)0xe7d3,
+    (q15_t)0x4b9, (q15_t)0xe7df, (q15_t)0x4b4, (q15_t)0xe7eb, (q15_t)0x4b0, (q15_t)0xe7f6, (q15_t)0x4ab, (q15_t)0xe802,
+    (q15_t)0x4a6, (q15_t)0xe80e, (q15_t)0x4a1, (q15_t)0xe819, (q15_t)0x49d, (q15_t)0xe825, (q15_t)0x498, (q15_t)0xe831,
+    (q15_t)0x493, (q15_t)0xe83c, (q15_t)0x48f, (q15_t)0xe848, (q15_t)0x48a, (q15_t)0xe854, (q15_t)0x485, (q15_t)0xe85f,
+    (q15_t)0x481, (q15_t)0xe86b, (q15_t)0x47c, (q15_t)0xe877, (q15_t)0x478, (q15_t)0xe882, (q15_t)0x473, (q15_t)0xe88e,
+    (q15_t)0x46e, (q15_t)0xe89a, (q15_t)0x46a, (q15_t)0xe8a5, (q15_t)0x465, (q15_t)0xe8b1, (q15_t)0x461, (q15_t)0xe8bd,
+    (q15_t)0x45c, (q15_t)0xe8c9, (q15_t)0x457, (q15_t)0xe8d4, (q15_t)0x453, (q15_t)0xe8e0, (q15_t)0x44e, (q15_t)0xe8ec,
+    (q15_t)0x44a, (q15_t)0xe8f7, (q15_t)0x445, (q15_t)0xe903, (q15_t)0x441, (q15_t)0xe90f, (q15_t)0x43c, (q15_t)0xe91b,
+    (q15_t)0x438, (q15_t)0xe926, (q15_t)0x433, (q15_t)0xe932, (q15_t)0x42f, (q15_t)0xe93e, (q15_t)0x42a, (q15_t)0xe94a,
+    (q15_t)0x426, (q15_t)0xe955, (q15_t)0x422, (q15_t)0xe961, (q15_t)0x41d, (q15_t)0xe96d, (q15_t)0x419, (q15_t)0xe979,
+    (q15_t)0x414, (q15_t)0xe984, (q15_t)0x410, (q15_t)0xe990, (q15_t)0x40b, (q15_t)0xe99c, (q15_t)0x407, (q15_t)0xe9a8,
+    (q15_t)0x403, (q15_t)0xe9b4, (q15_t)0x3fe, (q15_t)0xe9bf, (q15_t)0x3fa, (q15_t)0xe9cb, (q15_t)0x3f6, (q15_t)0xe9d7,
+    (q15_t)0x3f1, (q15_t)0xe9e3, (q15_t)0x3ed, (q15_t)0xe9ee, (q15_t)0x3e9, (q15_t)0xe9fa, (q15_t)0x3e4, (q15_t)0xea06,
+    (q15_t)0x3e0, (q15_t)0xea12, (q15_t)0x3dc, (q15_t)0xea1e, (q15_t)0x3d7, (q15_t)0xea29, (q15_t)0x3d3, (q15_t)0xea35,
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+    (q15_t)0x2c, (q15_t)0xfb4b, (q15_t)0x2b, (q15_t)0xfb57, (q15_t)0x2b, (q15_t)0xfb64, (q15_t)0x2a, (q15_t)0xfb70,
+    (q15_t)0x29, (q15_t)0xfb7d, (q15_t)0x28, (q15_t)0xfb89, (q15_t)0x27, (q15_t)0xfb96, (q15_t)0x26, (q15_t)0xfba2,
+    (q15_t)0x25, (q15_t)0xfbaf, (q15_t)0x24, (q15_t)0xfbbc, (q15_t)0x24, (q15_t)0xfbc8, (q15_t)0x23, (q15_t)0xfbd5,
+    (q15_t)0x22, (q15_t)0xfbe1, (q15_t)0x21, (q15_t)0xfbee, (q15_t)0x20, (q15_t)0xfbfa, (q15_t)0x20, (q15_t)0xfc07,
+    (q15_t)0x1f, (q15_t)0xfc13, (q15_t)0x1e, (q15_t)0xfc20, (q15_t)0x1d, (q15_t)0xfc2c, (q15_t)0x1d, (q15_t)0xfc39,
+    (q15_t)0x1c, (q15_t)0xfc45, (q15_t)0x1b, (q15_t)0xfc52, (q15_t)0x1a, (q15_t)0xfc5f, (q15_t)0x1a, (q15_t)0xfc6b,
+    (q15_t)0x19, (q15_t)0xfc78, (q15_t)0x18, (q15_t)0xfc84, (q15_t)0x18, (q15_t)0xfc91, (q15_t)0x17, (q15_t)0xfc9d,
+    (q15_t)0x16, (q15_t)0xfcaa, (q15_t)0x16, (q15_t)0xfcb6, (q15_t)0x15, (q15_t)0xfcc3, (q15_t)0x14, (q15_t)0xfcd0,
+    (q15_t)0x14, (q15_t)0xfcdc, (q15_t)0x13, (q15_t)0xfce9, (q15_t)0x13, (q15_t)0xfcf5, (q15_t)0x12, (q15_t)0xfd02,
+    (q15_t)0x11, (q15_t)0xfd0e, (q15_t)0x11, (q15_t)0xfd1b, (q15_t)0x10, (q15_t)0xfd27, (q15_t)0x10, (q15_t)0xfd34,
+    (q15_t)0xf, (q15_t)0xfd40, (q15_t)0xf, (q15_t)0xfd4d, (q15_t)0xe, (q15_t)0xfd5a, (q15_t)0xe, (q15_t)0xfd66,
+    (q15_t)0xd, (q15_t)0xfd73, (q15_t)0xd, (q15_t)0xfd7f, (q15_t)0xc, (q15_t)0xfd8c, (q15_t)0xc, (q15_t)0xfd98,
+    (q15_t)0xb, (q15_t)0xfda5, (q15_t)0xb, (q15_t)0xfdb2, (q15_t)0xa, (q15_t)0xfdbe, (q15_t)0xa, (q15_t)0xfdcb,
+    (q15_t)0x9, (q15_t)0xfdd7, (q15_t)0x9, (q15_t)0xfde4, (q15_t)0x9, (q15_t)0xfdf0, (q15_t)0x8, (q15_t)0xfdfd,
+    (q15_t)0x8, (q15_t)0xfe09, (q15_t)0x7, (q15_t)0xfe16, (q15_t)0x7, (q15_t)0xfe23, (q15_t)0x7, (q15_t)0xfe2f,
+    (q15_t)0x6, (q15_t)0xfe3c, (q15_t)0x6, (q15_t)0xfe48, (q15_t)0x6, (q15_t)0xfe55, (q15_t)0x5, (q15_t)0xfe61,
+    (q15_t)0x5, (q15_t)0xfe6e, (q15_t)0x5, (q15_t)0xfe7a, (q15_t)0x4, (q15_t)0xfe87, (q15_t)0x4, (q15_t)0xfe94,
+    (q15_t)0x4, (q15_t)0xfea0, (q15_t)0x4, (q15_t)0xfead, (q15_t)0x3, (q15_t)0xfeb9, (q15_t)0x3, (q15_t)0xfec6,
+    (q15_t)0x3, (q15_t)0xfed2, (q15_t)0x3, (q15_t)0xfedf, (q15_t)0x2, (q15_t)0xfeec, (q15_t)0x2, (q15_t)0xfef8,
+    (q15_t)0x2, (q15_t)0xff05, (q15_t)0x2, (q15_t)0xff11, (q15_t)0x2, (q15_t)0xff1e, (q15_t)0x1, (q15_t)0xff2a,
+    (q15_t)0x1, (q15_t)0xff37, (q15_t)0x1, (q15_t)0xff44, (q15_t)0x1, (q15_t)0xff50, (q15_t)0x1, (q15_t)0xff5d,
+    (q15_t)0x1, (q15_t)0xff69, (q15_t)0x1, (q15_t)0xff76, (q15_t)0x0, (q15_t)0xff82, (q15_t)0x0, (q15_t)0xff8f,
+    (q15_t)0x0, (q15_t)0xff9b, (q15_t)0x0, (q15_t)0xffa8, (q15_t)0x0, (q15_t)0xffb5, (q15_t)0x0, (q15_t)0xffc1,
+    (q15_t)0x0, (q15_t)0xffce, (q15_t)0x0, (q15_t)0xffda, (q15_t)0x0, (q15_t)0xffe7, (q15_t)0x0, (q15_t)0xfff3,
+    (q15_t)0x0, (q15_t)0x0, (q15_t)0x0, (q15_t)0xd, (q15_t)0x0, (q15_t)0x19, (q15_t)0x0, (q15_t)0x26,
+    (q15_t)0x0, (q15_t)0x32, (q15_t)0x0, (q15_t)0x3f, (q15_t)0x0, (q15_t)0x4b, (q15_t)0x0, (q15_t)0x58,
+    (q15_t)0x0, (q15_t)0x65, (q15_t)0x0, (q15_t)0x71, (q15_t)0x0, (q15_t)0x7e, (q15_t)0x1, (q15_t)0x8a,
+    (q15_t)0x1, (q15_t)0x97, (q15_t)0x1, (q15_t)0xa3, (q15_t)0x1, (q15_t)0xb0, (q15_t)0x1, (q15_t)0xbc,
+    (q15_t)0x1, (q15_t)0xc9, (q15_t)0x1, (q15_t)0xd6, (q15_t)0x2, (q15_t)0xe2, (q15_t)0x2, (q15_t)0xef,
+    (q15_t)0x2, (q15_t)0xfb, (q15_t)0x2, (q15_t)0x108, (q15_t)0x2, (q15_t)0x114, (q15_t)0x3, (q15_t)0x121,
+    (q15_t)0x3, (q15_t)0x12e, (q15_t)0x3, (q15_t)0x13a, (q15_t)0x3, (q15_t)0x147, (q15_t)0x4, (q15_t)0x153,
+    (q15_t)0x4, (q15_t)0x160, (q15_t)0x4, (q15_t)0x16c, (q15_t)0x4, (q15_t)0x179, (q15_t)0x5, (q15_t)0x186,
+    (q15_t)0x5, (q15_t)0x192, (q15_t)0x5, (q15_t)0x19f, (q15_t)0x6, (q15_t)0x1ab, (q15_t)0x6, (q15_t)0x1b8,
+    (q15_t)0x6, (q15_t)0x1c4, (q15_t)0x7, (q15_t)0x1d1, (q15_t)0x7, (q15_t)0x1dd, (q15_t)0x7, (q15_t)0x1ea,
+    (q15_t)0x8, (q15_t)0x1f7, (q15_t)0x8, (q15_t)0x203, (q15_t)0x9, (q15_t)0x210, (q15_t)0x9, (q15_t)0x21c,
+    (q15_t)0x9, (q15_t)0x229, (q15_t)0xa, (q15_t)0x235, (q15_t)0xa, (q15_t)0x242, (q15_t)0xb, (q15_t)0x24e,
+    (q15_t)0xb, (q15_t)0x25b, (q15_t)0xc, (q15_t)0x268, (q15_t)0xc, (q15_t)0x274, (q15_t)0xd, (q15_t)0x281,
+    (q15_t)0xd, (q15_t)0x28d, (q15_t)0xe, (q15_t)0x29a, (q15_t)0xe, (q15_t)0x2a6, (q15_t)0xf, (q15_t)0x2b3,
+    (q15_t)0xf, (q15_t)0x2c0, (q15_t)0x10, (q15_t)0x2cc, (q15_t)0x10, (q15_t)0x2d9, (q15_t)0x11, (q15_t)0x2e5,
+    (q15_t)0x11, (q15_t)0x2f2, (q15_t)0x12, (q15_t)0x2fe, (q15_t)0x13, (q15_t)0x30b, (q15_t)0x13, (q15_t)0x317,
+    (q15_t)0x14, (q15_t)0x324, (q15_t)0x14, (q15_t)0x330, (q15_t)0x15, (q15_t)0x33d, (q15_t)0x16, (q15_t)0x34a,
+    (q15_t)0x16, (q15_t)0x356, (q15_t)0x17, (q15_t)0x363, (q15_t)0x18, (q15_t)0x36f, (q15_t)0x18, (q15_t)0x37c,
+    (q15_t)0x19, (q15_t)0x388, (q15_t)0x1a, (q15_t)0x395, (q15_t)0x1a, (q15_t)0x3a1, (q15_t)0x1b, (q15_t)0x3ae,
+    (q15_t)0x1c, (q15_t)0x3bb, (q15_t)0x1d, (q15_t)0x3c7, (q15_t)0x1d, (q15_t)0x3d4, (q15_t)0x1e, (q15_t)0x3e0,
+    (q15_t)0x1f, (q15_t)0x3ed, (q15_t)0x20, (q15_t)0x3f9, (q15_t)0x20, (q15_t)0x406, (q15_t)0x21, (q15_t)0x412,
+    (q15_t)0x22, (q15_t)0x41f, (q15_t)0x23, (q15_t)0x42b, (q15_t)0x24, (q15_t)0x438, (q15_t)0x24, (q15_t)0x444,
+    (q15_t)0x25, (q15_t)0x451, (q15_t)0x26, (q15_t)0x45e, (q15_t)0x27, (q15_t)0x46a, (q15_t)0x28, (q15_t)0x477,
+    (q15_t)0x29, (q15_t)0x483, (q15_t)0x2a, (q15_t)0x490, (q15_t)0x2b, (q15_t)0x49c, (q15_t)0x2b, (q15_t)0x4a9,
+    (q15_t)0x2c, (q15_t)0x4b5, (q15_t)0x2d, (q15_t)0x4c2, (q15_t)0x2e, (q15_t)0x4ce, (q15_t)0x2f, (q15_t)0x4db,
+    (q15_t)0x30, (q15_t)0x4e7, (q15_t)0x31, (q15_t)0x4f4, (q15_t)0x32, (q15_t)0x500, (q15_t)0x33, (q15_t)0x50d,
+    (q15_t)0x34, (q15_t)0x51a, (q15_t)0x35, (q15_t)0x526, (q15_t)0x36, (q15_t)0x533, (q15_t)0x37, (q15_t)0x53f,
+    (q15_t)0x38, (q15_t)0x54c, (q15_t)0x39, (q15_t)0x558, (q15_t)0x3a, (q15_t)0x565, (q15_t)0x3b, (q15_t)0x571,
+    (q15_t)0x3c, (q15_t)0x57e, (q15_t)0x3d, (q15_t)0x58a, (q15_t)0x3f, (q15_t)0x597, (q15_t)0x40, (q15_t)0x5a3,
+    (q15_t)0x41, (q15_t)0x5b0, (q15_t)0x42, (q15_t)0x5bc, (q15_t)0x43, (q15_t)0x5c9, (q15_t)0x44, (q15_t)0x5d5,
+    (q15_t)0x45, (q15_t)0x5e2, (q15_t)0x47, (q15_t)0x5ee, (q15_t)0x48, (q15_t)0x5fb, (q15_t)0x49, (q15_t)0x607,
+    (q15_t)0x4a, (q15_t)0x614, (q15_t)0x4b, (q15_t)0x620, (q15_t)0x4c, (q15_t)0x62d, (q15_t)0x4e, (q15_t)0x639,
+    (q15_t)0x4f, (q15_t)0x646, (q15_t)0x50, (q15_t)0x652, (q15_t)0x51, (q15_t)0x65f, (q15_t)0x53, (q15_t)0x66b,
+    (q15_t)0x54, (q15_t)0x678, (q15_t)0x55, (q15_t)0x684, (q15_t)0x56, (q15_t)0x691, (q15_t)0x58, (q15_t)0x69d,
+    (q15_t)0x59, (q15_t)0x6aa, (q15_t)0x5a, (q15_t)0x6b6, (q15_t)0x5c, (q15_t)0x6c3, (q15_t)0x5d, (q15_t)0x6cf,
+    (q15_t)0x5e, (q15_t)0x6dc, (q15_t)0x60, (q15_t)0x6e8, (q15_t)0x61, (q15_t)0x6f5, (q15_t)0x62, (q15_t)0x701,
+    (q15_t)0x64, (q15_t)0x70e, (q15_t)0x65, (q15_t)0x71a, (q15_t)0x67, (q15_t)0x727, (q15_t)0x68, (q15_t)0x733,
+    (q15_t)0x69, (q15_t)0x740, (q15_t)0x6b, (q15_t)0x74c, (q15_t)0x6c, (q15_t)0x759, (q15_t)0x6e, (q15_t)0x765,
+    (q15_t)0x6f, (q15_t)0x772, (q15_t)0x71, (q15_t)0x77e, (q15_t)0x72, (q15_t)0x78b, (q15_t)0x74, (q15_t)0x797,
+    (q15_t)0x75, (q15_t)0x7a4, (q15_t)0x77, (q15_t)0x7b0, (q15_t)0x78, (q15_t)0x7bd, (q15_t)0x7a, (q15_t)0x7c9,
+    (q15_t)0x7b, (q15_t)0x7d6, (q15_t)0x7d, (q15_t)0x7e2, (q15_t)0x7e, (q15_t)0x7ef, (q15_t)0x80, (q15_t)0x7fb,
+    (q15_t)0x81, (q15_t)0x807, (q15_t)0x83, (q15_t)0x814, (q15_t)0x85, (q15_t)0x820, (q15_t)0x86, (q15_t)0x82d,
+    (q15_t)0x88, (q15_t)0x839, (q15_t)0x89, (q15_t)0x846, (q15_t)0x8b, (q15_t)0x852, (q15_t)0x8d, (q15_t)0x85f,
+    (q15_t)0x8e, (q15_t)0x86b, (q15_t)0x90, (q15_t)0x878, (q15_t)0x92, (q15_t)0x884, (q15_t)0x93, (q15_t)0x891,
+    (q15_t)0x95, (q15_t)0x89d, (q15_t)0x97, (q15_t)0x8a9, (q15_t)0x98, (q15_t)0x8b6, (q15_t)0x9a, (q15_t)0x8c2,
+    (q15_t)0x9c, (q15_t)0x8cf, (q15_t)0x9e, (q15_t)0x8db, (q15_t)0x9f, (q15_t)0x8e8, (q15_t)0xa1, (q15_t)0x8f4,
+    (q15_t)0xa3, (q15_t)0x901, (q15_t)0xa5, (q15_t)0x90d, (q15_t)0xa6, (q15_t)0x919, (q15_t)0xa8, (q15_t)0x926,
+    (q15_t)0xaa, (q15_t)0x932, (q15_t)0xac, (q15_t)0x93f, (q15_t)0xae, (q15_t)0x94b, (q15_t)0xaf, (q15_t)0x958,
+    (q15_t)0xb1, (q15_t)0x964, (q15_t)0xb3, (q15_t)0x970, (q15_t)0xb5, (q15_t)0x97d, (q15_t)0xb7, (q15_t)0x989,
+    (q15_t)0xb9, (q15_t)0x996, (q15_t)0xbb, (q15_t)0x9a2, (q15_t)0xbd, (q15_t)0x9af, (q15_t)0xbe, (q15_t)0x9bb,
+    (q15_t)0xc0, (q15_t)0x9c7, (q15_t)0xc2, (q15_t)0x9d4, (q15_t)0xc4, (q15_t)0x9e0, (q15_t)0xc6, (q15_t)0x9ed,
+    (q15_t)0xc8, (q15_t)0x9f9, (q15_t)0xca, (q15_t)0xa06, (q15_t)0xcc, (q15_t)0xa12, (q15_t)0xce, (q15_t)0xa1e,
+    (q15_t)0xd0, (q15_t)0xa2b, (q15_t)0xd2, (q15_t)0xa37, (q15_t)0xd4, (q15_t)0xa44, (q15_t)0xd6, (q15_t)0xa50,
+    (q15_t)0xd8, (q15_t)0xa5c, (q15_t)0xda, (q15_t)0xa69, (q15_t)0xdc, (q15_t)0xa75, (q15_t)0xde, (q15_t)0xa82,
+    (q15_t)0xe0, (q15_t)0xa8e, (q15_t)0xe2, (q15_t)0xa9a, (q15_t)0xe4, (q15_t)0xaa7, (q15_t)0xe7, (q15_t)0xab3,
+    (q15_t)0xe9, (q15_t)0xac0, (q15_t)0xeb, (q15_t)0xacc, (q15_t)0xed, (q15_t)0xad8, (q15_t)0xef, (q15_t)0xae5,
+    (q15_t)0xf1, (q15_t)0xaf1, (q15_t)0xf3, (q15_t)0xafd, (q15_t)0xf6, (q15_t)0xb0a, (q15_t)0xf8, (q15_t)0xb16,
+    (q15_t)0xfa, (q15_t)0xb23, (q15_t)0xfc, (q15_t)0xb2f, (q15_t)0xfe, (q15_t)0xb3b, (q15_t)0x100, (q15_t)0xb48,
+    (q15_t)0x103, (q15_t)0xb54, (q15_t)0x105, (q15_t)0xb60, (q15_t)0x107, (q15_t)0xb6d, (q15_t)0x109, (q15_t)0xb79,
+    (q15_t)0x10c, (q15_t)0xb85, (q15_t)0x10e, (q15_t)0xb92, (q15_t)0x110, (q15_t)0xb9e, (q15_t)0x113, (q15_t)0xbab,
+    (q15_t)0x115, (q15_t)0xbb7, (q15_t)0x117, (q15_t)0xbc3, (q15_t)0x119, (q15_t)0xbd0, (q15_t)0x11c, (q15_t)0xbdc,
+    (q15_t)0x11e, (q15_t)0xbe8, (q15_t)0x120, (q15_t)0xbf5, (q15_t)0x123, (q15_t)0xc01, (q15_t)0x125, (q15_t)0xc0d,
+    (q15_t)0x128, (q15_t)0xc1a, (q15_t)0x12a, (q15_t)0xc26, (q15_t)0x12c, (q15_t)0xc32, (q15_t)0x12f, (q15_t)0xc3f,
+    (q15_t)0x131, (q15_t)0xc4b, (q15_t)0x134, (q15_t)0xc57, (q15_t)0x136, (q15_t)0xc64, (q15_t)0x138, (q15_t)0xc70,
+    (q15_t)0x13b, (q15_t)0xc7c, (q15_t)0x13d, (q15_t)0xc89, (q15_t)0x140, (q15_t)0xc95, (q15_t)0x142, (q15_t)0xca1,
+    (q15_t)0x145, (q15_t)0xcae, (q15_t)0x147, (q15_t)0xcba, (q15_t)0x14a, (q15_t)0xcc6, (q15_t)0x14c, (q15_t)0xcd3,
+    (q15_t)0x14f, (q15_t)0xcdf, (q15_t)0x151, (q15_t)0xceb, (q15_t)0x154, (q15_t)0xcf8, (q15_t)0x156, (q15_t)0xd04,
+    (q15_t)0x159, (q15_t)0xd10, (q15_t)0x15b, (q15_t)0xd1c, (q15_t)0x15e, (q15_t)0xd29, (q15_t)0x161, (q15_t)0xd35,
+    (q15_t)0x163, (q15_t)0xd41, (q15_t)0x166, (q15_t)0xd4e, (q15_t)0x168, (q15_t)0xd5a, (q15_t)0x16b, (q15_t)0xd66,
+    (q15_t)0x16e, (q15_t)0xd72, (q15_t)0x170, (q15_t)0xd7f, (q15_t)0x173, (q15_t)0xd8b, (q15_t)0x176, (q15_t)0xd97,
+    (q15_t)0x178, (q15_t)0xda4, (q15_t)0x17b, (q15_t)0xdb0, (q15_t)0x17e, (q15_t)0xdbc, (q15_t)0x180, (q15_t)0xdc8,
+    (q15_t)0x183, (q15_t)0xdd5, (q15_t)0x186, (q15_t)0xde1, (q15_t)0x189, (q15_t)0xded, (q15_t)0x18b, (q15_t)0xdf9,
+    (q15_t)0x18e, (q15_t)0xe06, (q15_t)0x191, (q15_t)0xe12, (q15_t)0x194, (q15_t)0xe1e, (q15_t)0x196, (q15_t)0xe2b,
+    (q15_t)0x199, (q15_t)0xe37, (q15_t)0x19c, (q15_t)0xe43, (q15_t)0x19f, (q15_t)0xe4f, (q15_t)0x1a2, (q15_t)0xe5c,
+    (q15_t)0x1a4, (q15_t)0xe68, (q15_t)0x1a7, (q15_t)0xe74, (q15_t)0x1aa, (q15_t)0xe80, (q15_t)0x1ad, (q15_t)0xe8c,
+    (q15_t)0x1b0, (q15_t)0xe99, (q15_t)0x1b3, (q15_t)0xea5, (q15_t)0x1b6, (q15_t)0xeb1, (q15_t)0x1b8, (q15_t)0xebd,
+    (q15_t)0x1bb, (q15_t)0xeca, (q15_t)0x1be, (q15_t)0xed6, (q15_t)0x1c1, (q15_t)0xee2, (q15_t)0x1c4, (q15_t)0xeee,
+    (q15_t)0x1c7, (q15_t)0xefb, (q15_t)0x1ca, (q15_t)0xf07, (q15_t)0x1cd, (q15_t)0xf13, (q15_t)0x1d0, (q15_t)0xf1f,
+    (q15_t)0x1d3, (q15_t)0xf2b, (q15_t)0x1d6, (q15_t)0xf38, (q15_t)0x1d9, (q15_t)0xf44, (q15_t)0x1dc, (q15_t)0xf50,
+    (q15_t)0x1df, (q15_t)0xf5c, (q15_t)0x1e2, (q15_t)0xf68, (q15_t)0x1e5, (q15_t)0xf75, (q15_t)0x1e8, (q15_t)0xf81,
+    (q15_t)0x1eb, (q15_t)0xf8d, (q15_t)0x1ee, (q15_t)0xf99, (q15_t)0x1f1, (q15_t)0xfa5, (q15_t)0x1f4, (q15_t)0xfb2,
+    (q15_t)0x1f7, (q15_t)0xfbe, (q15_t)0x1fa, (q15_t)0xfca, (q15_t)0x1fd, (q15_t)0xfd6, (q15_t)0x201, (q15_t)0xfe2,
+    (q15_t)0x204, (q15_t)0xfee, (q15_t)0x207, (q15_t)0xffb, (q15_t)0x20a, (q15_t)0x1007, (q15_t)0x20d, (q15_t)0x1013,
+    (q15_t)0x210, (q15_t)0x101f, (q15_t)0x213, (q15_t)0x102b, (q15_t)0x217, (q15_t)0x1037, (q15_t)0x21a, (q15_t)0x1044,
+    (q15_t)0x21d, (q15_t)0x1050, (q15_t)0x220, (q15_t)0x105c, (q15_t)0x223, (q15_t)0x1068, (q15_t)0x227, (q15_t)0x1074,
+    (q15_t)0x22a, (q15_t)0x1080, (q15_t)0x22d, (q15_t)0x108c, (q15_t)0x230, (q15_t)0x1099, (q15_t)0x234, (q15_t)0x10a5,
+    (q15_t)0x237, (q15_t)0x10b1, (q15_t)0x23a, (q15_t)0x10bd, (q15_t)0x23e, (q15_t)0x10c9, (q15_t)0x241, (q15_t)0x10d5,
+    (q15_t)0x244, (q15_t)0x10e1, (q15_t)0x247, (q15_t)0x10ed, (q15_t)0x24b, (q15_t)0x10fa, (q15_t)0x24e, (q15_t)0x1106,
+    (q15_t)0x251, (q15_t)0x1112, (q15_t)0x255, (q15_t)0x111e, (q15_t)0x258, (q15_t)0x112a, (q15_t)0x25c, (q15_t)0x1136,
+    (q15_t)0x25f, (q15_t)0x1142, (q15_t)0x262, (q15_t)0x114e, (q15_t)0x266, (q15_t)0x115a, (q15_t)0x269, (q15_t)0x1167,
+    (q15_t)0x26d, (q15_t)0x1173, (q15_t)0x270, (q15_t)0x117f, (q15_t)0x273, (q15_t)0x118b, (q15_t)0x277, (q15_t)0x1197,
+    (q15_t)0x27a, (q15_t)0x11a3, (q15_t)0x27e, (q15_t)0x11af, (q15_t)0x281, (q15_t)0x11bb, (q15_t)0x285, (q15_t)0x11c7,
+    (q15_t)0x288, (q15_t)0x11d3, (q15_t)0x28c, (q15_t)0x11df, (q15_t)0x28f, (q15_t)0x11eb, (q15_t)0x293, (q15_t)0x11f7,
+    (q15_t)0x296, (q15_t)0x1204, (q15_t)0x29a, (q15_t)0x1210, (q15_t)0x29d, (q15_t)0x121c, (q15_t)0x2a1, (q15_t)0x1228,
+    (q15_t)0x2a5, (q15_t)0x1234, (q15_t)0x2a8, (q15_t)0x1240, (q15_t)0x2ac, (q15_t)0x124c, (q15_t)0x2af, (q15_t)0x1258,
+    (q15_t)0x2b3, (q15_t)0x1264, (q15_t)0x2b7, (q15_t)0x1270, (q15_t)0x2ba, (q15_t)0x127c, (q15_t)0x2be, (q15_t)0x1288,
+    (q15_t)0x2c1, (q15_t)0x1294, (q15_t)0x2c5, (q15_t)0x12a0, (q15_t)0x2c9, (q15_t)0x12ac, (q15_t)0x2cc, (q15_t)0x12b8,
+    (q15_t)0x2d0, (q15_t)0x12c4, (q15_t)0x2d4, (q15_t)0x12d0, (q15_t)0x2d8, (q15_t)0x12dc, (q15_t)0x2db, (q15_t)0x12e8,
+    (q15_t)0x2df, (q15_t)0x12f4, (q15_t)0x2e3, (q15_t)0x1300, (q15_t)0x2e6, (q15_t)0x130c, (q15_t)0x2ea, (q15_t)0x1318,
+    (q15_t)0x2ee, (q15_t)0x1324, (q15_t)0x2f2, (q15_t)0x1330, (q15_t)0x2f5, (q15_t)0x133c, (q15_t)0x2f9, (q15_t)0x1348,
+    (q15_t)0x2fd, (q15_t)0x1354, (q15_t)0x301, (q15_t)0x1360, (q15_t)0x305, (q15_t)0x136c, (q15_t)0x308, (q15_t)0x1378,
+    (q15_t)0x30c, (q15_t)0x1384, (q15_t)0x310, (q15_t)0x1390, (q15_t)0x314, (q15_t)0x139c, (q15_t)0x318, (q15_t)0x13a8,
+    (q15_t)0x31c, (q15_t)0x13b4, (q15_t)0x320, (q15_t)0x13c0, (q15_t)0x323, (q15_t)0x13cc, (q15_t)0x327, (q15_t)0x13d8,
+    (q15_t)0x32b, (q15_t)0x13e4, (q15_t)0x32f, (q15_t)0x13f0, (q15_t)0x333, (q15_t)0x13fb, (q15_t)0x337, (q15_t)0x1407,
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+    (q15_t)0x34b, (q15_t)0x1443, (q15_t)0x34f, (q15_t)0x144f, (q15_t)0x353, (q15_t)0x145b, (q15_t)0x357, (q15_t)0x1467,
+    (q15_t)0x35b, (q15_t)0x1473, (q15_t)0x35f, (q15_t)0x147f, (q15_t)0x363, (q15_t)0x148b, (q15_t)0x367, (q15_t)0x1496,
+    (q15_t)0x36b, (q15_t)0x14a2, (q15_t)0x36f, (q15_t)0x14ae, (q15_t)0x373, (q15_t)0x14ba, (q15_t)0x377, (q15_t)0x14c6,
+    (q15_t)0x37b, (q15_t)0x14d2, (q15_t)0x37f, (q15_t)0x14de, (q15_t)0x383, (q15_t)0x14ea, (q15_t)0x387, (q15_t)0x14f6,
+    (q15_t)0x38c, (q15_t)0x1501, (q15_t)0x390, (q15_t)0x150d, (q15_t)0x394, (q15_t)0x1519, (q15_t)0x398, (q15_t)0x1525,
+    (q15_t)0x39c, (q15_t)0x1531, (q15_t)0x3a0, (q15_t)0x153d, (q15_t)0x3a5, (q15_t)0x1549, (q15_t)0x3a9, (q15_t)0x1554,
+    (q15_t)0x3ad, (q15_t)0x1560, (q15_t)0x3b1, (q15_t)0x156c, (q15_t)0x3b5, (q15_t)0x1578, (q15_t)0x3ba, (q15_t)0x1584,
+    (q15_t)0x3be, (q15_t)0x1590, (q15_t)0x3c2, (q15_t)0x159b, (q15_t)0x3c6, (q15_t)0x15a7, (q15_t)0x3ca, (q15_t)0x15b3,
+    (q15_t)0x3cf, (q15_t)0x15bf, (q15_t)0x3d3, (q15_t)0x15cb, (q15_t)0x3d7, (q15_t)0x15d7, (q15_t)0x3dc, (q15_t)0x15e2,
+    (q15_t)0x3e0, (q15_t)0x15ee, (q15_t)0x3e4, (q15_t)0x15fa, (q15_t)0x3e9, (q15_t)0x1606, (q15_t)0x3ed, (q15_t)0x1612,
+    (q15_t)0x3f1, (q15_t)0x161d, (q15_t)0x3f6, (q15_t)0x1629, (q15_t)0x3fa, (q15_t)0x1635, (q15_t)0x3fe, (q15_t)0x1641,
+    (q15_t)0x403, (q15_t)0x164c, (q15_t)0x407, (q15_t)0x1658, (q15_t)0x40b, (q15_t)0x1664, (q15_t)0x410, (q15_t)0x1670,
+    (q15_t)0x414, (q15_t)0x167c, (q15_t)0x419, (q15_t)0x1687, (q15_t)0x41d, (q15_t)0x1693, (q15_t)0x422, (q15_t)0x169f,
+    (q15_t)0x426, (q15_t)0x16ab, (q15_t)0x42a, (q15_t)0x16b6, (q15_t)0x42f, (q15_t)0x16c2, (q15_t)0x433, (q15_t)0x16ce,
+    (q15_t)0x438, (q15_t)0x16da, (q15_t)0x43c, (q15_t)0x16e5, (q15_t)0x441, (q15_t)0x16f1, (q15_t)0x445, (q15_t)0x16fd,
+    (q15_t)0x44a, (q15_t)0x1709, (q15_t)0x44e, (q15_t)0x1714, (q15_t)0x453, (q15_t)0x1720, (q15_t)0x457, (q15_t)0x172c,
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+    (q15_t)0x46e, (q15_t)0x1766, (q15_t)0x473, (q15_t)0x1772, (q15_t)0x478, (q15_t)0x177e, (q15_t)0x47c, (q15_t)0x1789,
+    (q15_t)0x481, (q15_t)0x1795, (q15_t)0x485, (q15_t)0x17a1, (q15_t)0x48a, (q15_t)0x17ac, (q15_t)0x48f, (q15_t)0x17b8,
+    (q15_t)0x493, (q15_t)0x17c4, (q15_t)0x498, (q15_t)0x17cf, (q15_t)0x49d, (q15_t)0x17db, (q15_t)0x4a1, (q15_t)0x17e7,
+    (q15_t)0x4a6, (q15_t)0x17f2, (q15_t)0x4ab, (q15_t)0x17fe, (q15_t)0x4b0, (q15_t)0x180a, (q15_t)0x4b4, (q15_t)0x1815,
+    (q15_t)0x4b9, (q15_t)0x1821, (q15_t)0x4be, (q15_t)0x182d, (q15_t)0x4c2, (q15_t)0x1838, (q15_t)0x4c7, (q15_t)0x1844,
+    (q15_t)0x4cc, (q15_t)0x184f, (q15_t)0x4d1, (q15_t)0x185b, (q15_t)0x4d6, (q15_t)0x1867, (q15_t)0x4da, (q15_t)0x1872,
+    (q15_t)0x4df, (q15_t)0x187e, (q15_t)0x4e4, (q15_t)0x1889, (q15_t)0x4e9, (q15_t)0x1895, (q15_t)0x4ee, (q15_t)0x18a1,
+    (q15_t)0x4f2, (q15_t)0x18ac, (q15_t)0x4f7, (q15_t)0x18b8, (q15_t)0x4fc, (q15_t)0x18c3, (q15_t)0x501, (q15_t)0x18cf,
+    (q15_t)0x506, (q15_t)0x18db, (q15_t)0x50b, (q15_t)0x18e6, (q15_t)0x510, (q15_t)0x18f2, (q15_t)0x515, (q15_t)0x18fd,
+    (q15_t)0x51a, (q15_t)0x1909, (q15_t)0x51e, (q15_t)0x1914, (q15_t)0x523, (q15_t)0x1920, (q15_t)0x528, (q15_t)0x192c,
+    (q15_t)0x52d, (q15_t)0x1937, (q15_t)0x532, (q15_t)0x1943, (q15_t)0x537, (q15_t)0x194e, (q15_t)0x53c, (q15_t)0x195a,
+    (q15_t)0x541, (q15_t)0x1965, (q15_t)0x546, (q15_t)0x1971, (q15_t)0x54b, (q15_t)0x197c, (q15_t)0x550, (q15_t)0x1988,
+    (q15_t)0x555, (q15_t)0x1993, (q15_t)0x55a, (q15_t)0x199f, (q15_t)0x55f, (q15_t)0x19aa, (q15_t)0x564, (q15_t)0x19b6,
+    (q15_t)0x569, (q15_t)0x19c1, (q15_t)0x56e, (q15_t)0x19cd, (q15_t)0x573, (q15_t)0x19d8, (q15_t)0x578, (q15_t)0x19e4,
+    (q15_t)0x57e, (q15_t)0x19ef, (q15_t)0x583, (q15_t)0x19fb, (q15_t)0x588, (q15_t)0x1a06, (q15_t)0x58d, (q15_t)0x1a12,
+    (q15_t)0x592, (q15_t)0x1a1d, (q15_t)0x597, (q15_t)0x1a29, (q15_t)0x59c, (q15_t)0x1a34, (q15_t)0x5a1, (q15_t)0x1a40,
+    (q15_t)0x5a7, (q15_t)0x1a4b, (q15_t)0x5ac, (q15_t)0x1a57, (q15_t)0x5b1, (q15_t)0x1a62, (q15_t)0x5b6, (q15_t)0x1a6e,
+    (q15_t)0x5bb, (q15_t)0x1a79, (q15_t)0x5c1, (q15_t)0x1a84, (q15_t)0x5c6, (q15_t)0x1a90, (q15_t)0x5cb, (q15_t)0x1a9b,
+    (q15_t)0x5d0, (q15_t)0x1aa7, (q15_t)0x5d5, (q15_t)0x1ab2, (q15_t)0x5db, (q15_t)0x1abe, (q15_t)0x5e0, (q15_t)0x1ac9,
+    (q15_t)0x5e5, (q15_t)0x1ad4, (q15_t)0x5ea, (q15_t)0x1ae0, (q15_t)0x5f0, (q15_t)0x1aeb, (q15_t)0x5f5, (q15_t)0x1af7,
+    (q15_t)0x5fa, (q15_t)0x1b02, (q15_t)0x600, (q15_t)0x1b0d, (q15_t)0x605, (q15_t)0x1b19, (q15_t)0x60a, (q15_t)0x1b24,
+    (q15_t)0x610, (q15_t)0x1b30, (q15_t)0x615, (q15_t)0x1b3b, (q15_t)0x61a, (q15_t)0x1b46, (q15_t)0x620, (q15_t)0x1b52,
+    (q15_t)0x625, (q15_t)0x1b5d, (q15_t)0x62a, (q15_t)0x1b68, (q15_t)0x630, (q15_t)0x1b74, (q15_t)0x635, (q15_t)0x1b7f,
+    (q15_t)0x63b, (q15_t)0x1b8a, (q15_t)0x640, (q15_t)0x1b96, (q15_t)0x645, (q15_t)0x1ba1, (q15_t)0x64b, (q15_t)0x1bac,
+    (q15_t)0x650, (q15_t)0x1bb8, (q15_t)0x656, (q15_t)0x1bc3, (q15_t)0x65b, (q15_t)0x1bce, (q15_t)0x661, (q15_t)0x1bda,
+    (q15_t)0x666, (q15_t)0x1be5, (q15_t)0x66c, (q15_t)0x1bf0, (q15_t)0x671, (q15_t)0x1bfc, (q15_t)0x677, (q15_t)0x1c07,
+    (q15_t)0x67c, (q15_t)0x1c12, (q15_t)0x682, (q15_t)0x1c1e, (q15_t)0x687, (q15_t)0x1c29, (q15_t)0x68d, (q15_t)0x1c34,
+    (q15_t)0x692, (q15_t)0x1c3f, (q15_t)0x698, (q15_t)0x1c4b, (q15_t)0x69d, (q15_t)0x1c56, (q15_t)0x6a3, (q15_t)0x1c61,
+    (q15_t)0x6a8, (q15_t)0x1c6c, (q15_t)0x6ae, (q15_t)0x1c78, (q15_t)0x6b4, (q15_t)0x1c83, (q15_t)0x6b9, (q15_t)0x1c8e,
+    (q15_t)0x6bf, (q15_t)0x1c99, (q15_t)0x6c5, (q15_t)0x1ca5, (q15_t)0x6ca, (q15_t)0x1cb0, (q15_t)0x6d0, (q15_t)0x1cbb,
+    (q15_t)0x6d5, (q15_t)0x1cc6, (q15_t)0x6db, (q15_t)0x1cd2, (q15_t)0x6e1, (q15_t)0x1cdd, (q15_t)0x6e6, (q15_t)0x1ce8,
+    (q15_t)0x6ec, (q15_t)0x1cf3, (q15_t)0x6f2, (q15_t)0x1cff, (q15_t)0x6f7, (q15_t)0x1d0a, (q15_t)0x6fd, (q15_t)0x1d15,
+    (q15_t)0x703, (q15_t)0x1d20, (q15_t)0x709, (q15_t)0x1d2b, (q15_t)0x70e, (q15_t)0x1d36, (q15_t)0x714, (q15_t)0x1d42,
+    (q15_t)0x71a, (q15_t)0x1d4d, (q15_t)0x720, (q15_t)0x1d58, (q15_t)0x725, (q15_t)0x1d63, (q15_t)0x72b, (q15_t)0x1d6e,
+    (q15_t)0x731, (q15_t)0x1d79, (q15_t)0x737, (q15_t)0x1d85, (q15_t)0x73d, (q15_t)0x1d90, (q15_t)0x742, (q15_t)0x1d9b,
+    (q15_t)0x748, (q15_t)0x1da6, (q15_t)0x74e, (q15_t)0x1db1, (q15_t)0x754, (q15_t)0x1dbc, (q15_t)0x75a, (q15_t)0x1dc7,
+    (q15_t)0x75f, (q15_t)0x1dd3, (q15_t)0x765, (q15_t)0x1dde, (q15_t)0x76b, (q15_t)0x1de9, (q15_t)0x771, (q15_t)0x1df4,
+    (q15_t)0x777, (q15_t)0x1dff, (q15_t)0x77d, (q15_t)0x1e0a, (q15_t)0x783, (q15_t)0x1e15, (q15_t)0x789, (q15_t)0x1e20,
+    (q15_t)0x78f, (q15_t)0x1e2b, (q15_t)0x795, (q15_t)0x1e36, (q15_t)0x79a, (q15_t)0x1e42, (q15_t)0x7a0, (q15_t)0x1e4d,
+    (q15_t)0x7a6, (q15_t)0x1e58, (q15_t)0x7ac, (q15_t)0x1e63, (q15_t)0x7b2, (q15_t)0x1e6e, (q15_t)0x7b8, (q15_t)0x1e79,
+    (q15_t)0x7be, (q15_t)0x1e84, (q15_t)0x7c4, (q15_t)0x1e8f, (q15_t)0x7ca, (q15_t)0x1e9a, (q15_t)0x7d0, (q15_t)0x1ea5,
+    (q15_t)0x7d6, (q15_t)0x1eb0, (q15_t)0x7dc, (q15_t)0x1ebb, (q15_t)0x7e2, (q15_t)0x1ec6, (q15_t)0x7e8, (q15_t)0x1ed1,
+    (q15_t)0x7ee, (q15_t)0x1edc, (q15_t)0x7f5, (q15_t)0x1ee7, (q15_t)0x7fb, (q15_t)0x1ef2, (q15_t)0x801, (q15_t)0x1efd,
+    (q15_t)0x807, (q15_t)0x1f08, (q15_t)0x80d, (q15_t)0x1f13, (q15_t)0x813, (q15_t)0x1f1e, (q15_t)0x819, (q15_t)0x1f29,
+    (q15_t)0x81f, (q15_t)0x1f34, (q15_t)0x825, (q15_t)0x1f3f, (q15_t)0x82b, (q15_t)0x1f4a, (q15_t)0x832, (q15_t)0x1f55,
+    (q15_t)0x838, (q15_t)0x1f60, (q15_t)0x83e, (q15_t)0x1f6b, (q15_t)0x844, (q15_t)0x1f76, (q15_t)0x84a, (q15_t)0x1f81,
+    (q15_t)0x850, (q15_t)0x1f8c, (q15_t)0x857, (q15_t)0x1f97, (q15_t)0x85d, (q15_t)0x1fa2, (q15_t)0x863, (q15_t)0x1fac,
+    (q15_t)0x869, (q15_t)0x1fb7, (q15_t)0x870, (q15_t)0x1fc2, (q15_t)0x876, (q15_t)0x1fcd, (q15_t)0x87c, (q15_t)0x1fd8,
+    (q15_t)0x882, (q15_t)0x1fe3, (q15_t)0x889, (q15_t)0x1fee, (q15_t)0x88f, (q15_t)0x1ff9, (q15_t)0x895, (q15_t)0x2004,
+    (q15_t)0x89b, (q15_t)0x200f, (q15_t)0x8a2, (q15_t)0x2019, (q15_t)0x8a8, (q15_t)0x2024, (q15_t)0x8ae, (q15_t)0x202f,
+    (q15_t)0x8b5, (q15_t)0x203a, (q15_t)0x8bb, (q15_t)0x2045, (q15_t)0x8c1, (q15_t)0x2050, (q15_t)0x8c8, (q15_t)0x205b,
+    (q15_t)0x8ce, (q15_t)0x2065, (q15_t)0x8d4, (q15_t)0x2070, (q15_t)0x8db, (q15_t)0x207b, (q15_t)0x8e1, (q15_t)0x2086,
+    (q15_t)0x8e8, (q15_t)0x2091, (q15_t)0x8ee, (q15_t)0x209b, (q15_t)0x8f4, (q15_t)0x20a6, (q15_t)0x8fb, (q15_t)0x20b1,
+    (q15_t)0x901, (q15_t)0x20bc, (q15_t)0x908, (q15_t)0x20c7, (q15_t)0x90e, (q15_t)0x20d1, (q15_t)0x915, (q15_t)0x20dc,
+    (q15_t)0x91b, (q15_t)0x20e7, (q15_t)0x921, (q15_t)0x20f2, (q15_t)0x928, (q15_t)0x20fd, (q15_t)0x92e, (q15_t)0x2107,
+    (q15_t)0x935, (q15_t)0x2112, (q15_t)0x93b, (q15_t)0x211d, (q15_t)0x942, (q15_t)0x2128, (q15_t)0x948, (q15_t)0x2132,
+    (q15_t)0x94f, (q15_t)0x213d, (q15_t)0x955, (q15_t)0x2148, (q15_t)0x95c, (q15_t)0x2153, (q15_t)0x963, (q15_t)0x215d,
+    (q15_t)0x969, (q15_t)0x2168, (q15_t)0x970, (q15_t)0x2173, (q15_t)0x976, (q15_t)0x217d, (q15_t)0x97d, (q15_t)0x2188,
+    (q15_t)0x983, (q15_t)0x2193, (q15_t)0x98a, (q15_t)0x219e, (q15_t)0x991, (q15_t)0x21a8, (q15_t)0x997, (q15_t)0x21b3,
+    (q15_t)0x99e, (q15_t)0x21be, (q15_t)0x9a4, (q15_t)0x21c8, (q15_t)0x9ab, (q15_t)0x21d3, (q15_t)0x9b2, (q15_t)0x21de,
+    (q15_t)0x9b8, (q15_t)0x21e8, (q15_t)0x9bf, (q15_t)0x21f3, (q15_t)0x9c6, (q15_t)0x21fe, (q15_t)0x9cc, (q15_t)0x2208,
+    (q15_t)0x9d3, (q15_t)0x2213, (q15_t)0x9da, (q15_t)0x221e, (q15_t)0x9e0, (q15_t)0x2228, (q15_t)0x9e7, (q15_t)0x2233,
+    (q15_t)0x9ee, (q15_t)0x223d, (q15_t)0x9f5, (q15_t)0x2248, (q15_t)0x9fb, (q15_t)0x2253, (q15_t)0xa02, (q15_t)0x225d,
+    (q15_t)0xa09, (q15_t)0x2268, (q15_t)0xa10, (q15_t)0x2272, (q15_t)0xa16, (q15_t)0x227d, (q15_t)0xa1d, (q15_t)0x2288,
+    (q15_t)0xa24, (q15_t)0x2292, (q15_t)0xa2b, (q15_t)0x229d, (q15_t)0xa32, (q15_t)0x22a7, (q15_t)0xa38, (q15_t)0x22b2,
+    (q15_t)0xa3f, (q15_t)0x22bc, (q15_t)0xa46, (q15_t)0x22c7, (q15_t)0xa4d, (q15_t)0x22d2, (q15_t)0xa54, (q15_t)0x22dc,
+    (q15_t)0xa5b, (q15_t)0x22e7, (q15_t)0xa61, (q15_t)0x22f1, (q15_t)0xa68, (q15_t)0x22fc, (q15_t)0xa6f, (q15_t)0x2306,
+    (q15_t)0xa76, (q15_t)0x2311, (q15_t)0xa7d, (q15_t)0x231b, (q15_t)0xa84, (q15_t)0x2326, (q15_t)0xa8b, (q15_t)0x2330,
+    (q15_t)0xa92, (q15_t)0x233b, (q15_t)0xa99, (q15_t)0x2345, (q15_t)0xa9f, (q15_t)0x2350, (q15_t)0xaa6, (q15_t)0x235a,
+    (q15_t)0xaad, (q15_t)0x2365, (q15_t)0xab4, (q15_t)0x236f, (q15_t)0xabb, (q15_t)0x237a, (q15_t)0xac2, (q15_t)0x2384,
+    (q15_t)0xac9, (q15_t)0x238e, (q15_t)0xad0, (q15_t)0x2399, (q15_t)0xad7, (q15_t)0x23a3, (q15_t)0xade, (q15_t)0x23ae,
+    (q15_t)0xae5, (q15_t)0x23b8, (q15_t)0xaec, (q15_t)0x23c3, (q15_t)0xaf3, (q15_t)0x23cd, (q15_t)0xafa, (q15_t)0x23d7,
+    (q15_t)0xb01, (q15_t)0x23e2, (q15_t)0xb08, (q15_t)0x23ec, (q15_t)0xb0f, (q15_t)0x23f7, (q15_t)0xb16, (q15_t)0x2401,
+    (q15_t)0xb1e, (q15_t)0x240b, (q15_t)0xb25, (q15_t)0x2416, (q15_t)0xb2c, (q15_t)0x2420, (q15_t)0xb33, (q15_t)0x242b,
+    (q15_t)0xb3a, (q15_t)0x2435, (q15_t)0xb41, (q15_t)0x243f, (q15_t)0xb48, (q15_t)0x244a, (q15_t)0xb4f, (q15_t)0x2454,
+    (q15_t)0xb56, (q15_t)0x245e, (q15_t)0xb5e, (q15_t)0x2469, (q15_t)0xb65, (q15_t)0x2473, (q15_t)0xb6c, (q15_t)0x247d,
+    (q15_t)0xb73, (q15_t)0x2488, (q15_t)0xb7a, (q15_t)0x2492, (q15_t)0xb81, (q15_t)0x249c, (q15_t)0xb89, (q15_t)0x24a7,
+    (q15_t)0xb90, (q15_t)0x24b1, (q15_t)0xb97, (q15_t)0x24bb, (q15_t)0xb9e, (q15_t)0x24c5, (q15_t)0xba5, (q15_t)0x24d0,
+    (q15_t)0xbad, (q15_t)0x24da, (q15_t)0xbb4, (q15_t)0x24e4, (q15_t)0xbbb, (q15_t)0x24ef, (q15_t)0xbc2, (q15_t)0x24f9,
+    (q15_t)0xbca, (q15_t)0x2503, (q15_t)0xbd1, (q15_t)0x250d, (q15_t)0xbd8, (q15_t)0x2518, (q15_t)0xbe0, (q15_t)0x2522,
+    (q15_t)0xbe7, (q15_t)0x252c, (q15_t)0xbee, (q15_t)0x2536, (q15_t)0xbf5, (q15_t)0x2541, (q15_t)0xbfd, (q15_t)0x254b,
+    (q15_t)0xc04, (q15_t)0x2555, (q15_t)0xc0b, (q15_t)0x255f, (q15_t)0xc13, (q15_t)0x2569, (q15_t)0xc1a, (q15_t)0x2574,
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+    (q15_t)0xc3f, (q15_t)0x25a6, (q15_t)0xc46, (q15_t)0x25b1, (q15_t)0xc4e, (q15_t)0x25bb, (q15_t)0xc55, (q15_t)0x25c5,
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+    (q15_t)0xc7a, (q15_t)0x25f8, (q15_t)0xc82, (q15_t)0x2602, (q15_t)0xc89, (q15_t)0x260c, (q15_t)0xc91, (q15_t)0x2616,
+    (q15_t)0xc98, (q15_t)0x2620, (q15_t)0xca0, (q15_t)0x262a, (q15_t)0xca7, (q15_t)0x2634, (q15_t)0xcaf, (q15_t)0x263e,
+    (q15_t)0xcb6, (q15_t)0x2648, (q15_t)0xcbe, (q15_t)0x2652, (q15_t)0xcc5, (q15_t)0x265c, (q15_t)0xccd, (q15_t)0x2666,
+    (q15_t)0xcd4, (q15_t)0x2671, (q15_t)0xcdc, (q15_t)0x267b, (q15_t)0xce3, (q15_t)0x2685, (q15_t)0xceb, (q15_t)0x268f,
+    (q15_t)0xcf3, (q15_t)0x2699, (q15_t)0xcfa, (q15_t)0x26a3, (q15_t)0xd02, (q15_t)0x26ad, (q15_t)0xd09, (q15_t)0x26b7,
+    (q15_t)0xd11, (q15_t)0x26c1, (q15_t)0xd19, (q15_t)0x26cb, (q15_t)0xd20, (q15_t)0x26d5, (q15_t)0xd28, (q15_t)0x26df,
+    (q15_t)0xd30, (q15_t)0x26e9, (q15_t)0xd37, (q15_t)0x26f3, (q15_t)0xd3f, (q15_t)0x26fd, (q15_t)0xd46, (q15_t)0x2707,
+    (q15_t)0xd4e, (q15_t)0x2711, (q15_t)0xd56, (q15_t)0x271a, (q15_t)0xd5d, (q15_t)0x2724, (q15_t)0xd65, (q15_t)0x272e,
+    (q15_t)0xd6d, (q15_t)0x2738, (q15_t)0xd75, (q15_t)0x2742, (q15_t)0xd7c, (q15_t)0x274c, (q15_t)0xd84, (q15_t)0x2756,
+    (q15_t)0xd8c, (q15_t)0x2760, (q15_t)0xd93, (q15_t)0x276a, (q15_t)0xd9b, (q15_t)0x2774, (q15_t)0xda3, (q15_t)0x277e,
+    (q15_t)0xdab, (q15_t)0x2788, (q15_t)0xdb2, (q15_t)0x2791, (q15_t)0xdba, (q15_t)0x279b, (q15_t)0xdc2, (q15_t)0x27a5,
+    (q15_t)0xdca, (q15_t)0x27af, (q15_t)0xdd2, (q15_t)0x27b9, (q15_t)0xdd9, (q15_t)0x27c3, (q15_t)0xde1, (q15_t)0x27cd,
+    (q15_t)0xde9, (q15_t)0x27d6, (q15_t)0xdf1, (q15_t)0x27e0, (q15_t)0xdf9, (q15_t)0x27ea, (q15_t)0xe01, (q15_t)0x27f4,
+    (q15_t)0xe08, (q15_t)0x27fe, (q15_t)0xe10, (q15_t)0x2808, (q15_t)0xe18, (q15_t)0x2811, (q15_t)0xe20, (q15_t)0x281b,
+    (q15_t)0xe28, (q15_t)0x2825, (q15_t)0xe30, (q15_t)0x282f, (q15_t)0xe38, (q15_t)0x2838, (q15_t)0xe40, (q15_t)0x2842,
+    (q15_t)0xe47, (q15_t)0x284c, (q15_t)0xe4f, (q15_t)0x2856, (q15_t)0xe57, (q15_t)0x2860, (q15_t)0xe5f, (q15_t)0x2869,
+    (q15_t)0xe67, (q15_t)0x2873, (q15_t)0xe6f, (q15_t)0x287d, (q15_t)0xe77, (q15_t)0x2886, (q15_t)0xe7f, (q15_t)0x2890,
+    (q15_t)0xe87, (q15_t)0x289a, (q15_t)0xe8f, (q15_t)0x28a4, (q15_t)0xe97, (q15_t)0x28ad, (q15_t)0xe9f, (q15_t)0x28b7,
+    (q15_t)0xea7, (q15_t)0x28c1, (q15_t)0xeaf, (q15_t)0x28ca, (q15_t)0xeb7, (q15_t)0x28d4, (q15_t)0xebf, (q15_t)0x28de,
+    (q15_t)0xec7, (q15_t)0x28e7, (q15_t)0xecf, (q15_t)0x28f1, (q15_t)0xed7, (q15_t)0x28fb, (q15_t)0xedf, (q15_t)0x2904,
+    (q15_t)0xee7, (q15_t)0x290e, (q15_t)0xeef, (q15_t)0x2918, (q15_t)0xef7, (q15_t)0x2921, (q15_t)0xeff, (q15_t)0x292b,
+    (q15_t)0xf07, (q15_t)0x2935, (q15_t)0xf10, (q15_t)0x293e, (q15_t)0xf18, (q15_t)0x2948, (q15_t)0xf20, (q15_t)0x2951,
+    (q15_t)0xf28, (q15_t)0x295b, (q15_t)0xf30, (q15_t)0x2965, (q15_t)0xf38, (q15_t)0x296e, (q15_t)0xf40, (q15_t)0x2978,
+    (q15_t)0xf48, (q15_t)0x2981, (q15_t)0xf51, (q15_t)0x298b, (q15_t)0xf59, (q15_t)0x2994, (q15_t)0xf61, (q15_t)0x299e,
+    (q15_t)0xf69, (q15_t)0x29a7, (q15_t)0xf71, (q15_t)0x29b1, (q15_t)0xf79, (q15_t)0x29bb, (q15_t)0xf82, (q15_t)0x29c4,
+    (q15_t)0xf8a, (q15_t)0x29ce, (q15_t)0xf92, (q15_t)0x29d7, (q15_t)0xf9a, (q15_t)0x29e1, (q15_t)0xfa3, (q15_t)0x29ea,
+    (q15_t)0xfab, (q15_t)0x29f4, (q15_t)0xfb3, (q15_t)0x29fd, (q15_t)0xfbb, (q15_t)0x2a07, (q15_t)0xfc4, (q15_t)0x2a10,
+    (q15_t)0xfcc, (q15_t)0x2a1a, (q15_t)0xfd4, (q15_t)0x2a23, (q15_t)0xfdc, (q15_t)0x2a2c, (q15_t)0xfe5, (q15_t)0x2a36,
+    (q15_t)0xfed, (q15_t)0x2a3f, (q15_t)0xff5, (q15_t)0x2a49, (q15_t)0xffe, (q15_t)0x2a52, (q15_t)0x1006, (q15_t)0x2a5c,
+    (q15_t)0x100e, (q15_t)0x2a65, (q15_t)0x1016, (q15_t)0x2a6e, (q15_t)0x101f, (q15_t)0x2a78, (q15_t)0x1027, (q15_t)0x2a81,
+    (q15_t)0x1030, (q15_t)0x2a8b, (q15_t)0x1038, (q15_t)0x2a94, (q15_t)0x1040, (q15_t)0x2a9d, (q15_t)0x1049, (q15_t)0x2aa7,
+    (q15_t)0x1051, (q15_t)0x2ab0, (q15_t)0x1059, (q15_t)0x2ab9, (q15_t)0x1062, (q15_t)0x2ac3, (q15_t)0x106a, (q15_t)0x2acc,
+    (q15_t)0x1073, (q15_t)0x2ad6, (q15_t)0x107b, (q15_t)0x2adf, (q15_t)0x1083, (q15_t)0x2ae8, (q15_t)0x108c, (q15_t)0x2af2,
+    (q15_t)0x1094, (q15_t)0x2afb, (q15_t)0x109d, (q15_t)0x2b04, (q15_t)0x10a5, (q15_t)0x2b0d, (q15_t)0x10ae, (q15_t)0x2b17,
+    (q15_t)0x10b6, (q15_t)0x2b20, (q15_t)0x10bf, (q15_t)0x2b29, (q15_t)0x10c7, (q15_t)0x2b33, (q15_t)0x10d0, (q15_t)0x2b3c,
+    (q15_t)0x10d8, (q15_t)0x2b45, (q15_t)0x10e0, (q15_t)0x2b4e, (q15_t)0x10e9, (q15_t)0x2b58, (q15_t)0x10f2, (q15_t)0x2b61,
+    (q15_t)0x10fa, (q15_t)0x2b6a, (q15_t)0x1103, (q15_t)0x2b73, (q15_t)0x110b, (q15_t)0x2b7d, (q15_t)0x1114, (q15_t)0x2b86,
+    (q15_t)0x111c, (q15_t)0x2b8f, (q15_t)0x1125, (q15_t)0x2b98, (q15_t)0x112d, (q15_t)0x2ba1, (q15_t)0x1136, (q15_t)0x2bab,
+    (q15_t)0x113e, (q15_t)0x2bb4, (q15_t)0x1147, (q15_t)0x2bbd, (q15_t)0x1150, (q15_t)0x2bc6, (q15_t)0x1158, (q15_t)0x2bcf,
+    (q15_t)0x1161, (q15_t)0x2bd8, (q15_t)0x1169, (q15_t)0x2be2, (q15_t)0x1172, (q15_t)0x2beb, (q15_t)0x117b, (q15_t)0x2bf4,
+    (q15_t)0x1183, (q15_t)0x2bfd, (q15_t)0x118c, (q15_t)0x2c06, (q15_t)0x1195, (q15_t)0x2c0f, (q15_t)0x119d, (q15_t)0x2c18,
+    (q15_t)0x11a6, (q15_t)0x2c21, (q15_t)0x11af, (q15_t)0x2c2b, (q15_t)0x11b7, (q15_t)0x2c34, (q15_t)0x11c0, (q15_t)0x2c3d,
+    (q15_t)0x11c9, (q15_t)0x2c46, (q15_t)0x11d1, (q15_t)0x2c4f, (q15_t)0x11da, (q15_t)0x2c58, (q15_t)0x11e3, (q15_t)0x2c61,
+    (q15_t)0x11eb, (q15_t)0x2c6a, (q15_t)0x11f4, (q15_t)0x2c73, (q15_t)0x11fd, (q15_t)0x2c7c, (q15_t)0x1206, (q15_t)0x2c85,
+    (q15_t)0x120e, (q15_t)0x2c8e, (q15_t)0x1217, (q15_t)0x2c97, (q15_t)0x1220, (q15_t)0x2ca0, (q15_t)0x1229, (q15_t)0x2ca9,
+    (q15_t)0x1231, (q15_t)0x2cb2, (q15_t)0x123a, (q15_t)0x2cbb, (q15_t)0x1243, (q15_t)0x2cc4, (q15_t)0x124c, (q15_t)0x2ccd,
+    (q15_t)0x1255, (q15_t)0x2cd6, (q15_t)0x125d, (q15_t)0x2cdf, (q15_t)0x1266, (q15_t)0x2ce8, (q15_t)0x126f, (q15_t)0x2cf1,
+    (q15_t)0x1278, (q15_t)0x2cfa, (q15_t)0x1281, (q15_t)0x2d03, (q15_t)0x128a, (q15_t)0x2d0c, (q15_t)0x1292, (q15_t)0x2d15,
+    (q15_t)0x129b, (q15_t)0x2d1e, (q15_t)0x12a4, (q15_t)0x2d27, (q15_t)0x12ad, (q15_t)0x2d2f, (q15_t)0x12b6, (q15_t)0x2d38,
+    (q15_t)0x12bf, (q15_t)0x2d41, (q15_t)0x12c8, (q15_t)0x2d4a, (q15_t)0x12d1, (q15_t)0x2d53, (q15_t)0x12d9, (q15_t)0x2d5c,
+    (q15_t)0x12e2, (q15_t)0x2d65, (q15_t)0x12eb, (q15_t)0x2d6e, (q15_t)0x12f4, (q15_t)0x2d76, (q15_t)0x12fd, (q15_t)0x2d7f,
+    (q15_t)0x1306, (q15_t)0x2d88, (q15_t)0x130f, (q15_t)0x2d91, (q15_t)0x1318, (q15_t)0x2d9a, (q15_t)0x1321, (q15_t)0x2da3,
+    (q15_t)0x132a, (q15_t)0x2dab, (q15_t)0x1333, (q15_t)0x2db4, (q15_t)0x133c, (q15_t)0x2dbd, (q15_t)0x1345, (q15_t)0x2dc6,
+    (q15_t)0x134e, (q15_t)0x2dcf, (q15_t)0x1357, (q15_t)0x2dd7, (q15_t)0x1360, (q15_t)0x2de0, (q15_t)0x1369, (q15_t)0x2de9,
+    (q15_t)0x1372, (q15_t)0x2df2, (q15_t)0x137b, (q15_t)0x2dfa, (q15_t)0x1384, (q15_t)0x2e03, (q15_t)0x138d, (q15_t)0x2e0c,
+    (q15_t)0x1396, (q15_t)0x2e15, (q15_t)0x139f, (q15_t)0x2e1d, (q15_t)0x13a8, (q15_t)0x2e26, (q15_t)0x13b1, (q15_t)0x2e2f,
+    (q15_t)0x13ba, (q15_t)0x2e37, (q15_t)0x13c3, (q15_t)0x2e40, (q15_t)0x13cc, (q15_t)0x2e49, (q15_t)0x13d5, (q15_t)0x2e51,
+    (q15_t)0x13df, (q15_t)0x2e5a, (q15_t)0x13e8, (q15_t)0x2e63, (q15_t)0x13f1, (q15_t)0x2e6b, (q15_t)0x13fa, (q15_t)0x2e74,
+    (q15_t)0x1403, (q15_t)0x2e7d, (q15_t)0x140c, (q15_t)0x2e85, (q15_t)0x1415, (q15_t)0x2e8e, (q15_t)0x141e, (q15_t)0x2e97,
+    (q15_t)0x1428, (q15_t)0x2e9f, (q15_t)0x1431, (q15_t)0x2ea8, (q15_t)0x143a, (q15_t)0x2eb0, (q15_t)0x1443, (q15_t)0x2eb9,
+    (q15_t)0x144c, (q15_t)0x2ec2, (q15_t)0x1455, (q15_t)0x2eca, (q15_t)0x145f, (q15_t)0x2ed3, (q15_t)0x1468, (q15_t)0x2edb,
+    (q15_t)0x1471, (q15_t)0x2ee4, (q15_t)0x147a, (q15_t)0x2eec, (q15_t)0x1483, (q15_t)0x2ef5, (q15_t)0x148d, (q15_t)0x2efd,
+    (q15_t)0x1496, (q15_t)0x2f06, (q15_t)0x149f, (q15_t)0x2f0e, (q15_t)0x14a8, (q15_t)0x2f17, (q15_t)0x14b2, (q15_t)0x2f20,
+    (q15_t)0x14bb, (q15_t)0x2f28, (q15_t)0x14c4, (q15_t)0x2f30, (q15_t)0x14cd, (q15_t)0x2f39, (q15_t)0x14d7, (q15_t)0x2f41,
+    (q15_t)0x14e0, (q15_t)0x2f4a, (q15_t)0x14e9, (q15_t)0x2f52, (q15_t)0x14f3, (q15_t)0x2f5b, (q15_t)0x14fc, (q15_t)0x2f63,
+    (q15_t)0x1505, (q15_t)0x2f6c, (q15_t)0x150e, (q15_t)0x2f74, (q15_t)0x1518, (q15_t)0x2f7d, (q15_t)0x1521, (q15_t)0x2f85,
+    (q15_t)0x152a, (q15_t)0x2f8d, (q15_t)0x1534, (q15_t)0x2f96, (q15_t)0x153d, (q15_t)0x2f9e, (q15_t)0x1547, (q15_t)0x2fa7,
+    (q15_t)0x1550, (q15_t)0x2faf, (q15_t)0x1559, (q15_t)0x2fb7, (q15_t)0x1563, (q15_t)0x2fc0, (q15_t)0x156c, (q15_t)0x2fc8,
+    (q15_t)0x1575, (q15_t)0x2fd0, (q15_t)0x157f, (q15_t)0x2fd9, (q15_t)0x1588, (q15_t)0x2fe1, (q15_t)0x1592, (q15_t)0x2fea,
+    (q15_t)0x159b, (q15_t)0x2ff2, (q15_t)0x15a4, (q15_t)0x2ffa, (q15_t)0x15ae, (q15_t)0x3002, (q15_t)0x15b7, (q15_t)0x300b,
+    (q15_t)0x15c1, (q15_t)0x3013, (q15_t)0x15ca, (q15_t)0x301b, (q15_t)0x15d4, (q15_t)0x3024, (q15_t)0x15dd, (q15_t)0x302c,
+    (q15_t)0x15e6, (q15_t)0x3034, (q15_t)0x15f0, (q15_t)0x303c, (q15_t)0x15f9, (q15_t)0x3045, (q15_t)0x1603, (q15_t)0x304d,
+    (q15_t)0x160c, (q15_t)0x3055, (q15_t)0x1616, (q15_t)0x305d, (q15_t)0x161f, (q15_t)0x3066, (q15_t)0x1629, (q15_t)0x306e,
+    (q15_t)0x1632, (q15_t)0x3076, (q15_t)0x163c, (q15_t)0x307e, (q15_t)0x1645, (q15_t)0x3087, (q15_t)0x164f, (q15_t)0x308f,
+    (q15_t)0x1659, (q15_t)0x3097, (q15_t)0x1662, (q15_t)0x309f, (q15_t)0x166c, (q15_t)0x30a7, (q15_t)0x1675, (q15_t)0x30af,
+    (q15_t)0x167f, (q15_t)0x30b8, (q15_t)0x1688, (q15_t)0x30c0, (q15_t)0x1692, (q15_t)0x30c8, (q15_t)0x169b, (q15_t)0x30d0,
+    (q15_t)0x16a5, (q15_t)0x30d8, (q15_t)0x16af, (q15_t)0x30e0, (q15_t)0x16b8, (q15_t)0x30e8, (q15_t)0x16c2, (q15_t)0x30f0,
+    (q15_t)0x16cb, (q15_t)0x30f9, (q15_t)0x16d5, (q15_t)0x3101, (q15_t)0x16df, (q15_t)0x3109, (q15_t)0x16e8, (q15_t)0x3111,
+    (q15_t)0x16f2, (q15_t)0x3119, (q15_t)0x16fc, (q15_t)0x3121, (q15_t)0x1705, (q15_t)0x3129, (q15_t)0x170f, (q15_t)0x3131,
+    (q15_t)0x1719, (q15_t)0x3139, (q15_t)0x1722, (q15_t)0x3141, (q15_t)0x172c, (q15_t)0x3149, (q15_t)0x1736, (q15_t)0x3151,
+    (q15_t)0x173f, (q15_t)0x3159, (q15_t)0x1749, (q15_t)0x3161, (q15_t)0x1753, (q15_t)0x3169, (q15_t)0x175c, (q15_t)0x3171,
+    (q15_t)0x1766, (q15_t)0x3179, (q15_t)0x1770, (q15_t)0x3181, (q15_t)0x177a, (q15_t)0x3189, (q15_t)0x1783, (q15_t)0x3191,
+    (q15_t)0x178d, (q15_t)0x3199, (q15_t)0x1797, (q15_t)0x31a1, (q15_t)0x17a0, (q15_t)0x31a9, (q15_t)0x17aa, (q15_t)0x31b1,
+    (q15_t)0x17b4, (q15_t)0x31b9, (q15_t)0x17be, (q15_t)0x31c0, (q15_t)0x17c8, (q15_t)0x31c8, (q15_t)0x17d1, (q15_t)0x31d0,
+    (q15_t)0x17db, (q15_t)0x31d8, (q15_t)0x17e5, (q15_t)0x31e0, (q15_t)0x17ef, (q15_t)0x31e8, (q15_t)0x17f8, (q15_t)0x31f0,
+    (q15_t)0x1802, (q15_t)0x31f8, (q15_t)0x180c, (q15_t)0x31ff, (q15_t)0x1816, (q15_t)0x3207, (q15_t)0x1820, (q15_t)0x320f,
+    (q15_t)0x182a, (q15_t)0x3217, (q15_t)0x1833, (q15_t)0x321f, (q15_t)0x183d, (q15_t)0x3227, (q15_t)0x1847, (q15_t)0x322e,
+    (q15_t)0x1851, (q15_t)0x3236, (q15_t)0x185b, (q15_t)0x323e, (q15_t)0x1865, (q15_t)0x3246, (q15_t)0x186f, (q15_t)0x324e,
+    (q15_t)0x1878, (q15_t)0x3255, (q15_t)0x1882, (q15_t)0x325d, (q15_t)0x188c, (q15_t)0x3265, (q15_t)0x1896, (q15_t)0x326d,
+    (q15_t)0x18a0, (q15_t)0x3274, (q15_t)0x18aa, (q15_t)0x327c, (q15_t)0x18b4, (q15_t)0x3284, (q15_t)0x18be, (q15_t)0x328b,
+    (q15_t)0x18c8, (q15_t)0x3293, (q15_t)0x18d2, (q15_t)0x329b, (q15_t)0x18dc, (q15_t)0x32a3, (q15_t)0x18e6, (q15_t)0x32aa,
+    (q15_t)0x18ef, (q15_t)0x32b2, (q15_t)0x18f9, (q15_t)0x32ba, (q15_t)0x1903, (q15_t)0x32c1, (q15_t)0x190d, (q15_t)0x32c9,
+    (q15_t)0x1917, (q15_t)0x32d0, (q15_t)0x1921, (q15_t)0x32d8, (q15_t)0x192b, (q15_t)0x32e0, (q15_t)0x1935, (q15_t)0x32e7,
+    (q15_t)0x193f, (q15_t)0x32ef, (q15_t)0x1949, (q15_t)0x32f7, (q15_t)0x1953, (q15_t)0x32fe, (q15_t)0x195d, (q15_t)0x3306,
+    (q15_t)0x1967, (q15_t)0x330d, (q15_t)0x1971, (q15_t)0x3315, (q15_t)0x197b, (q15_t)0x331d, (q15_t)0x1985, (q15_t)0x3324,
+    (q15_t)0x198f, (q15_t)0x332c, (q15_t)0x199a, (q15_t)0x3333, (q15_t)0x19a4, (q15_t)0x333b, (q15_t)0x19ae, (q15_t)0x3342,
+    (q15_t)0x19b8, (q15_t)0x334a, (q15_t)0x19c2, (q15_t)0x3351, (q15_t)0x19cc, (q15_t)0x3359, (q15_t)0x19d6, (q15_t)0x3360,
+    (q15_t)0x19e0, (q15_t)0x3368, (q15_t)0x19ea, (q15_t)0x336f, (q15_t)0x19f4, (q15_t)0x3377, (q15_t)0x19fe, (q15_t)0x337e,
+    (q15_t)0x1a08, (q15_t)0x3386, (q15_t)0x1a13, (q15_t)0x338d, (q15_t)0x1a1d, (q15_t)0x3395, (q15_t)0x1a27, (q15_t)0x339c,
+    (q15_t)0x1a31, (q15_t)0x33a3, (q15_t)0x1a3b, (q15_t)0x33ab, (q15_t)0x1a45, (q15_t)0x33b2, (q15_t)0x1a4f, (q15_t)0x33ba,
+    (q15_t)0x1a5a, (q15_t)0x33c1, (q15_t)0x1a64, (q15_t)0x33c8, (q15_t)0x1a6e, (q15_t)0x33d0, (q15_t)0x1a78, (q15_t)0x33d7,
+    (q15_t)0x1a82, (q15_t)0x33df, (q15_t)0x1a8c, (q15_t)0x33e6, (q15_t)0x1a97, (q15_t)0x33ed, (q15_t)0x1aa1, (q15_t)0x33f5,
+    (q15_t)0x1aab, (q15_t)0x33fc, (q15_t)0x1ab5, (q15_t)0x3403, (q15_t)0x1abf, (q15_t)0x340b, (q15_t)0x1aca, (q15_t)0x3412,
+    (q15_t)0x1ad4, (q15_t)0x3419, (q15_t)0x1ade, (q15_t)0x3420, (q15_t)0x1ae8, (q15_t)0x3428, (q15_t)0x1af3, (q15_t)0x342f,
+    (q15_t)0x1afd, (q15_t)0x3436, (q15_t)0x1b07, (q15_t)0x343e, (q15_t)0x1b11, (q15_t)0x3445, (q15_t)0x1b1c, (q15_t)0x344c,
+    (q15_t)0x1b26, (q15_t)0x3453, (q15_t)0x1b30, (q15_t)0x345b, (q15_t)0x1b3b, (q15_t)0x3462, (q15_t)0x1b45, (q15_t)0x3469,
+    (q15_t)0x1b4f, (q15_t)0x3470, (q15_t)0x1b59, (q15_t)0x3477, (q15_t)0x1b64, (q15_t)0x347f, (q15_t)0x1b6e, (q15_t)0x3486,
+    (q15_t)0x1b78, (q15_t)0x348d, (q15_t)0x1b83, (q15_t)0x3494, (q15_t)0x1b8d, (q15_t)0x349b, (q15_t)0x1b97, (q15_t)0x34a2,
+    (q15_t)0x1ba2, (q15_t)0x34aa, (q15_t)0x1bac, (q15_t)0x34b1, (q15_t)0x1bb6, (q15_t)0x34b8, (q15_t)0x1bc1, (q15_t)0x34bf,
+    (q15_t)0x1bcb, (q15_t)0x34c6, (q15_t)0x1bd5, (q15_t)0x34cd, (q15_t)0x1be0, (q15_t)0x34d4, (q15_t)0x1bea, (q15_t)0x34db,
+    (q15_t)0x1bf5, (q15_t)0x34e2, (q15_t)0x1bff, (q15_t)0x34ea, (q15_t)0x1c09, (q15_t)0x34f1, (q15_t)0x1c14, (q15_t)0x34f8,
+    (q15_t)0x1c1e, (q15_t)0x34ff, (q15_t)0x1c29, (q15_t)0x3506, (q15_t)0x1c33, (q15_t)0x350d, (q15_t)0x1c3d, (q15_t)0x3514,
+    (q15_t)0x1c48, (q15_t)0x351b, (q15_t)0x1c52, (q15_t)0x3522, (q15_t)0x1c5d, (q15_t)0x3529, (q15_t)0x1c67, (q15_t)0x3530,
+    (q15_t)0x1c72, (q15_t)0x3537, (q15_t)0x1c7c, (q15_t)0x353e, (q15_t)0x1c86, (q15_t)0x3545, (q15_t)0x1c91, (q15_t)0x354c,
+    (q15_t)0x1c9b, (q15_t)0x3553, (q15_t)0x1ca6, (q15_t)0x355a, (q15_t)0x1cb0, (q15_t)0x3561, (q15_t)0x1cbb, (q15_t)0x3567,
+    (q15_t)0x1cc5, (q15_t)0x356e, (q15_t)0x1cd0, (q15_t)0x3575, (q15_t)0x1cda, (q15_t)0x357c, (q15_t)0x1ce5, (q15_t)0x3583,
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+    (q15_t)0x1d44, (q15_t)0x35c1, (q15_t)0x1d4e, (q15_t)0x35c8, (q15_t)0x1d59, (q15_t)0x35ce, (q15_t)0x1d63, (q15_t)0x35d5,
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+    (q15_t)0x1d98, (q15_t)0x35f7, (q15_t)0x1da3, (q15_t)0x35fe, (q15_t)0x1dad, (q15_t)0x3605, (q15_t)0x1db8, (q15_t)0x360b,
+    (q15_t)0x1dc3, (q15_t)0x3612, (q15_t)0x1dcd, (q15_t)0x3619, (q15_t)0x1dd8, (q15_t)0x3620, (q15_t)0x1de2, (q15_t)0x3626,
+    (q15_t)0x1ded, (q15_t)0x362d, (q15_t)0x1df8, (q15_t)0x3634, (q15_t)0x1e02, (q15_t)0x363a, (q15_t)0x1e0d, (q15_t)0x3641,
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+    (q15_t)0x1e42, (q15_t)0x3662, (q15_t)0x1e4d, (q15_t)0x3669, (q15_t)0x1e58, (q15_t)0x366f, (q15_t)0x1e62, (q15_t)0x3676,
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+    (q15_t)0x1f44, (q15_t)0x36ff, (q15_t)0x1f4f, (q15_t)0x3705, (q15_t)0x1f5a, (q15_t)0x370c, (q15_t)0x1f65, (q15_t)0x3712,
+    (q15_t)0x1f6f, (q15_t)0x3718, (q15_t)0x1f7a, (q15_t)0x371f, (q15_t)0x1f85, (q15_t)0x3725, (q15_t)0x1f90, (q15_t)0x372c,
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+    (q15_t)0x2aff, (q15_t)0x3c74, (q15_t)0x2b0a, (q15_t)0x3c79, (q15_t)0x2b16, (q15_t)0x3c7d, (q15_t)0x2b22, (q15_t)0x3c81,
+    (q15_t)0x2b2e, (q15_t)0x3c85, (q15_t)0x2b3a, (q15_t)0x3c89, (q15_t)0x2b46, (q15_t)0x3c8d, (q15_t)0x2b52, (q15_t)0x3c91,
+    (q15_t)0x2b5e, (q15_t)0x3c95, (q15_t)0x2b6a, (q15_t)0x3c99, (q15_t)0x2b75, (q15_t)0x3c9d, (q15_t)0x2b81, (q15_t)0x3ca1,
+    (q15_t)0x2b8d, (q15_t)0x3ca5, (q15_t)0x2b99, (q15_t)0x3ca9, (q15_t)0x2ba5, (q15_t)0x3cad, (q15_t)0x2bb1, (q15_t)0x3cb1,
+    (q15_t)0x2bbd, (q15_t)0x3cb5, (q15_t)0x2bc9, (q15_t)0x3cb9, (q15_t)0x2bd5, (q15_t)0x3cbd, (q15_t)0x2be1, (q15_t)0x3cc1,
+    (q15_t)0x2bed, (q15_t)0x3cc5, (q15_t)0x2bf9, (q15_t)0x3cc9, (q15_t)0x2c05, (q15_t)0x3ccd, (q15_t)0x2c10, (q15_t)0x3cd1,
+    (q15_t)0x2c1c, (q15_t)0x3cd5, (q15_t)0x2c28, (q15_t)0x3cd9, (q15_t)0x2c34, (q15_t)0x3cdd, (q15_t)0x2c40, (q15_t)0x3ce0,
+    (q15_t)0x2c4c, (q15_t)0x3ce4, (q15_t)0x2c58, (q15_t)0x3ce8, (q15_t)0x2c64, (q15_t)0x3cec, (q15_t)0x2c70, (q15_t)0x3cf0,
+    (q15_t)0x2c7c, (q15_t)0x3cf4, (q15_t)0x2c88, (q15_t)0x3cf8, (q15_t)0x2c94, (q15_t)0x3cfb, (q15_t)0x2ca0, (q15_t)0x3cff,
+    (q15_t)0x2cac, (q15_t)0x3d03, (q15_t)0x2cb8, (q15_t)0x3d07, (q15_t)0x2cc4, (q15_t)0x3d0b, (q15_t)0x2cd0, (q15_t)0x3d0e,
+    (q15_t)0x2cdc, (q15_t)0x3d12, (q15_t)0x2ce8, (q15_t)0x3d16, (q15_t)0x2cf4, (q15_t)0x3d1a, (q15_t)0x2d00, (q15_t)0x3d1d,
+    (q15_t)0x2d0c, (q15_t)0x3d21, (q15_t)0x2d18, (q15_t)0x3d25, (q15_t)0x2d24, (q15_t)0x3d28, (q15_t)0x2d30, (q15_t)0x3d2c,
+    (q15_t)0x2d3c, (q15_t)0x3d30, (q15_t)0x2d48, (q15_t)0x3d34, (q15_t)0x2d54, (q15_t)0x3d37, (q15_t)0x2d60, (q15_t)0x3d3b,
+    (q15_t)0x2d6c, (q15_t)0x3d3f, (q15_t)0x2d78, (q15_t)0x3d42, (q15_t)0x2d84, (q15_t)0x3d46, (q15_t)0x2d90, (q15_t)0x3d49,
+    (q15_t)0x2d9c, (q15_t)0x3d4d, (q15_t)0x2da8, (q15_t)0x3d51, (q15_t)0x2db4, (q15_t)0x3d54, (q15_t)0x2dc0, (q15_t)0x3d58,
+    (q15_t)0x2dcc, (q15_t)0x3d5b, (q15_t)0x2dd8, (q15_t)0x3d5f, (q15_t)0x2de4, (q15_t)0x3d63, (q15_t)0x2df0, (q15_t)0x3d66,
+    (q15_t)0x2dfc, (q15_t)0x3d6a, (q15_t)0x2e09, (q15_t)0x3d6d, (q15_t)0x2e15, (q15_t)0x3d71, (q15_t)0x2e21, (q15_t)0x3d74,
+    (q15_t)0x2e2d, (q15_t)0x3d78, (q15_t)0x2e39, (q15_t)0x3d7b, (q15_t)0x2e45, (q15_t)0x3d7f, (q15_t)0x2e51, (q15_t)0x3d82,
+    (q15_t)0x2e5d, (q15_t)0x3d86, (q15_t)0x2e69, (q15_t)0x3d89, (q15_t)0x2e75, (q15_t)0x3d8d, (q15_t)0x2e81, (q15_t)0x3d90,
+    (q15_t)0x2e8d, (q15_t)0x3d93, (q15_t)0x2e99, (q15_t)0x3d97, (q15_t)0x2ea6, (q15_t)0x3d9a, (q15_t)0x2eb2, (q15_t)0x3d9e,
+    (q15_t)0x2ebe, (q15_t)0x3da1, (q15_t)0x2eca, (q15_t)0x3da4, (q15_t)0x2ed6, (q15_t)0x3da8, (q15_t)0x2ee2, (q15_t)0x3dab,
+    (q15_t)0x2eee, (q15_t)0x3daf, (q15_t)0x2efa, (q15_t)0x3db2, (q15_t)0x2f06, (q15_t)0x3db5, (q15_t)0x2f13, (q15_t)0x3db9,
+    (q15_t)0x2f1f, (q15_t)0x3dbc, (q15_t)0x2f2b, (q15_t)0x3dbf, (q15_t)0x2f37, (q15_t)0x3dc2, (q15_t)0x2f43, (q15_t)0x3dc6,
+    (q15_t)0x2f4f, (q15_t)0x3dc9, (q15_t)0x2f5b, (q15_t)0x3dcc, (q15_t)0x2f67, (q15_t)0x3dd0, (q15_t)0x2f74, (q15_t)0x3dd3,
+    (q15_t)0x2f80, (q15_t)0x3dd6, (q15_t)0x2f8c, (q15_t)0x3dd9, (q15_t)0x2f98, (q15_t)0x3ddd, (q15_t)0x2fa4, (q15_t)0x3de0,
+    (q15_t)0x2fb0, (q15_t)0x3de3, (q15_t)0x2fbc, (q15_t)0x3de6, (q15_t)0x2fc9, (q15_t)0x3de9, (q15_t)0x2fd5, (q15_t)0x3ded,
+    (q15_t)0x2fe1, (q15_t)0x3df0, (q15_t)0x2fed, (q15_t)0x3df3, (q15_t)0x2ff9, (q15_t)0x3df6, (q15_t)0x3005, (q15_t)0x3df9,
+    (q15_t)0x3012, (q15_t)0x3dfc, (q15_t)0x301e, (q15_t)0x3dff, (q15_t)0x302a, (q15_t)0x3e03, (q15_t)0x3036, (q15_t)0x3e06,
+    (q15_t)0x3042, (q15_t)0x3e09, (q15_t)0x304e, (q15_t)0x3e0c, (q15_t)0x305b, (q15_t)0x3e0f, (q15_t)0x3067, (q15_t)0x3e12,
+    (q15_t)0x3073, (q15_t)0x3e15, (q15_t)0x307f, (q15_t)0x3e18, (q15_t)0x308b, (q15_t)0x3e1b, (q15_t)0x3098, (q15_t)0x3e1e,
+    (q15_t)0x30a4, (q15_t)0x3e21, (q15_t)0x30b0, (q15_t)0x3e24, (q15_t)0x30bc, (q15_t)0x3e27, (q15_t)0x30c8, (q15_t)0x3e2a,
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+    (q15_t)0x3105, (q15_t)0x3e39, (q15_t)0x3112, (q15_t)0x3e3c, (q15_t)0x311e, (q15_t)0x3e3f, (q15_t)0x312a, (q15_t)0x3e42,
+    (q15_t)0x3136, (q15_t)0x3e45, (q15_t)0x3143, (q15_t)0x3e48, (q15_t)0x314f, (q15_t)0x3e4a, (q15_t)0x315b, (q15_t)0x3e4d,
+    (q15_t)0x3167, (q15_t)0x3e50, (q15_t)0x3174, (q15_t)0x3e53, (q15_t)0x3180, (q15_t)0x3e56, (q15_t)0x318c, (q15_t)0x3e59,
+    (q15_t)0x3198, (q15_t)0x3e5c, (q15_t)0x31a4, (q15_t)0x3e5e, (q15_t)0x31b1, (q15_t)0x3e61, (q15_t)0x31bd, (q15_t)0x3e64,
+    (q15_t)0x31c9, (q15_t)0x3e67, (q15_t)0x31d5, (q15_t)0x3e6a, (q15_t)0x31e2, (q15_t)0x3e6c, (q15_t)0x31ee, (q15_t)0x3e6f,
+    (q15_t)0x31fa, (q15_t)0x3e72, (q15_t)0x3207, (q15_t)0x3e75, (q15_t)0x3213, (q15_t)0x3e77, (q15_t)0x321f, (q15_t)0x3e7a,
+    (q15_t)0x322b, (q15_t)0x3e7d, (q15_t)0x3238, (q15_t)0x3e80, (q15_t)0x3244, (q15_t)0x3e82, (q15_t)0x3250, (q15_t)0x3e85,
+    (q15_t)0x325c, (q15_t)0x3e88, (q15_t)0x3269, (q15_t)0x3e8a, (q15_t)0x3275, (q15_t)0x3e8d, (q15_t)0x3281, (q15_t)0x3e90,
+    (q15_t)0x328e, (q15_t)0x3e92, (q15_t)0x329a, (q15_t)0x3e95, (q15_t)0x32a6, (q15_t)0x3e98, (q15_t)0x32b2, (q15_t)0x3e9a,
+    (q15_t)0x32bf, (q15_t)0x3e9d, (q15_t)0x32cb, (q15_t)0x3e9f, (q15_t)0x32d7, (q15_t)0x3ea2, (q15_t)0x32e4, (q15_t)0x3ea5,
+    (q15_t)0x32f0, (q15_t)0x3ea7, (q15_t)0x32fc, (q15_t)0x3eaa, (q15_t)0x3308, (q15_t)0x3eac, (q15_t)0x3315, (q15_t)0x3eaf,
+    (q15_t)0x3321, (q15_t)0x3eb1, (q15_t)0x332d, (q15_t)0x3eb4, (q15_t)0x333a, (q15_t)0x3eb6, (q15_t)0x3346, (q15_t)0x3eb9,
+    (q15_t)0x3352, (q15_t)0x3ebb, (q15_t)0x335f, (q15_t)0x3ebe, (q15_t)0x336b, (q15_t)0x3ec0, (q15_t)0x3377, (q15_t)0x3ec3,
+    (q15_t)0x3384, (q15_t)0x3ec5, (q15_t)0x3390, (q15_t)0x3ec8, (q15_t)0x339c, (q15_t)0x3eca, (q15_t)0x33a9, (q15_t)0x3ecc,
+    (q15_t)0x33b5, (q15_t)0x3ecf, (q15_t)0x33c1, (q15_t)0x3ed1, (q15_t)0x33ce, (q15_t)0x3ed4, (q15_t)0x33da, (q15_t)0x3ed6,
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+    (q15_t)0x3418, (q15_t)0x3ee2, (q15_t)0x3424, (q15_t)0x3ee4, (q15_t)0x3430, (q15_t)0x3ee7, (q15_t)0x343d, (q15_t)0x3ee9,
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+    (q15_t)0x350f, (q15_t)0x3f0f, (q15_t)0x351b, (q15_t)0x3f11, (q15_t)0x3528, (q15_t)0x3f13, (q15_t)0x3534, (q15_t)0x3f15,
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+    (q15_t)0x3572, (q15_t)0x3f20, (q15_t)0x357e, (q15_t)0x3f22, (q15_t)0x358b, (q15_t)0x3f24, (q15_t)0x3597, (q15_t)0x3f26,
+    (q15_t)0x35a4, (q15_t)0x3f28, (q15_t)0x35b0, (q15_t)0x3f2a, (q15_t)0x35bc, (q15_t)0x3f2c, (q15_t)0x35c9, (q15_t)0x3f2e,
+    (q15_t)0x35d5, (q15_t)0x3f30, (q15_t)0x35e2, (q15_t)0x3f32, (q15_t)0x35ee, (q15_t)0x3f34, (q15_t)0x35fa, (q15_t)0x3f36,
+    (q15_t)0x3607, (q15_t)0x3f38, (q15_t)0x3613, (q15_t)0x3f3a, (q15_t)0x3620, (q15_t)0x3f3c, (q15_t)0x362c, (q15_t)0x3f3e,
+    (q15_t)0x3639, (q15_t)0x3f40, (q15_t)0x3645, (q15_t)0x3f42, (q15_t)0x3651, (q15_t)0x3f43, (q15_t)0x365e, (q15_t)0x3f45,
+    (q15_t)0x366a, (q15_t)0x3f47, (q15_t)0x3677, (q15_t)0x3f49, (q15_t)0x3683, (q15_t)0x3f4b, (q15_t)0x3690, (q15_t)0x3f4d,
+    (q15_t)0x369c, (q15_t)0x3f4f, (q15_t)0x36a8, (q15_t)0x3f51, (q15_t)0x36b5, (q15_t)0x3f52, (q15_t)0x36c1, (q15_t)0x3f54,
+    (q15_t)0x36ce, (q15_t)0x3f56, (q15_t)0x36da, (q15_t)0x3f58, (q15_t)0x36e7, (q15_t)0x3f5a, (q15_t)0x36f3, (q15_t)0x3f5b,
+    (q15_t)0x36ff, (q15_t)0x3f5d, (q15_t)0x370c, (q15_t)0x3f5f, (q15_t)0x3718, (q15_t)0x3f61, (q15_t)0x3725, (q15_t)0x3f62,
+    (q15_t)0x3731, (q15_t)0x3f64, (q15_t)0x373e, (q15_t)0x3f66, (q15_t)0x374a, (q15_t)0x3f68, (q15_t)0x3757, (q15_t)0x3f69,
+    (q15_t)0x3763, (q15_t)0x3f6b, (q15_t)0x376f, (q15_t)0x3f6d, (q15_t)0x377c, (q15_t)0x3f6e, (q15_t)0x3788, (q15_t)0x3f70,
+    (q15_t)0x3795, (q15_t)0x3f72, (q15_t)0x37a1, (q15_t)0x3f73, (q15_t)0x37ae, (q15_t)0x3f75, (q15_t)0x37ba, (q15_t)0x3f77,
+    (q15_t)0x37c7, (q15_t)0x3f78, (q15_t)0x37d3, (q15_t)0x3f7a, (q15_t)0x37e0, (q15_t)0x3f7b, (q15_t)0x37ec, (q15_t)0x3f7d,
+    (q15_t)0x37f9, (q15_t)0x3f7f, (q15_t)0x3805, (q15_t)0x3f80, (q15_t)0x3811, (q15_t)0x3f82, (q15_t)0x381e, (q15_t)0x3f83,
+    (q15_t)0x382a, (q15_t)0x3f85, (q15_t)0x3837, (q15_t)0x3f86, (q15_t)0x3843, (q15_t)0x3f88, (q15_t)0x3850, (q15_t)0x3f89,
+    (q15_t)0x385c, (q15_t)0x3f8b, (q15_t)0x3869, (q15_t)0x3f8c, (q15_t)0x3875, (q15_t)0x3f8e, (q15_t)0x3882, (q15_t)0x3f8f,
+    (q15_t)0x388e, (q15_t)0x3f91, (q15_t)0x389b, (q15_t)0x3f92, (q15_t)0x38a7, (q15_t)0x3f94, (q15_t)0x38b4, (q15_t)0x3f95,
+    (q15_t)0x38c0, (q15_t)0x3f97, (q15_t)0x38cd, (q15_t)0x3f98, (q15_t)0x38d9, (q15_t)0x3f99, (q15_t)0x38e6, (q15_t)0x3f9b,
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+    (q15_t)0x3924, (q15_t)0x3fa2, (q15_t)0x3931, (q15_t)0x3fa3, (q15_t)0x393d, (q15_t)0x3fa4, (q15_t)0x394a, (q15_t)0x3fa6,
+    (q15_t)0x3956, (q15_t)0x3fa7, (q15_t)0x3963, (q15_t)0x3fa8, (q15_t)0x396f, (q15_t)0x3faa, (q15_t)0x397c, (q15_t)0x3fab,
+    (q15_t)0x3988, (q15_t)0x3fac, (q15_t)0x3995, (q15_t)0x3fad, (q15_t)0x39a1, (q15_t)0x3faf, (q15_t)0x39ae, (q15_t)0x3fb0,
+    (q15_t)0x39ba, (q15_t)0x3fb1, (q15_t)0x39c7, (q15_t)0x3fb2, (q15_t)0x39d3, (q15_t)0x3fb4, (q15_t)0x39e0, (q15_t)0x3fb5,
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+    (q15_t)0x3a1e, (q15_t)0x3fbb, (q15_t)0x3a2b, (q15_t)0x3fbc, (q15_t)0x3a37, (q15_t)0x3fbd, (q15_t)0x3a44, (q15_t)0x3fbe,
+    (q15_t)0x3a50, (q15_t)0x3fbf, (q15_t)0x3a5d, (q15_t)0x3fc0, (q15_t)0x3a69, (q15_t)0x3fc1, (q15_t)0x3a76, (q15_t)0x3fc3,
+    (q15_t)0x3a82, (q15_t)0x3fc4, (q15_t)0x3a8f, (q15_t)0x3fc5, (q15_t)0x3a9b, (q15_t)0x3fc6, (q15_t)0x3aa8, (q15_t)0x3fc7,
+    (q15_t)0x3ab4, (q15_t)0x3fc8, (q15_t)0x3ac1, (q15_t)0x3fc9, (q15_t)0x3acd, (q15_t)0x3fca, (q15_t)0x3ada, (q15_t)0x3fcb,
+    (q15_t)0x3ae6, (q15_t)0x3fcc, (q15_t)0x3af3, (q15_t)0x3fcd, (q15_t)0x3b00, (q15_t)0x3fce, (q15_t)0x3b0c, (q15_t)0x3fcf,
+    (q15_t)0x3b19, (q15_t)0x3fd0, (q15_t)0x3b25, (q15_t)0x3fd1, (q15_t)0x3b32, (q15_t)0x3fd2, (q15_t)0x3b3e, (q15_t)0x3fd3,
+    (q15_t)0x3b4b, (q15_t)0x3fd4, (q15_t)0x3b57, (q15_t)0x3fd5, (q15_t)0x3b64, (q15_t)0x3fd5, (q15_t)0x3b70, (q15_t)0x3fd6,
+    (q15_t)0x3b7d, (q15_t)0x3fd7, (q15_t)0x3b89, (q15_t)0x3fd8, (q15_t)0x3b96, (q15_t)0x3fd9, (q15_t)0x3ba2, (q15_t)0x3fda,
+    (q15_t)0x3baf, (q15_t)0x3fdb, (q15_t)0x3bbc, (q15_t)0x3fdc, (q15_t)0x3bc8, (q15_t)0x3fdc, (q15_t)0x3bd5, (q15_t)0x3fdd,
+    (q15_t)0x3be1, (q15_t)0x3fde, (q15_t)0x3bee, (q15_t)0x3fdf, (q15_t)0x3bfa, (q15_t)0x3fe0, (q15_t)0x3c07, (q15_t)0x3fe0,
+    (q15_t)0x3c13, (q15_t)0x3fe1, (q15_t)0x3c20, (q15_t)0x3fe2, (q15_t)0x3c2c, (q15_t)0x3fe3, (q15_t)0x3c39, (q15_t)0x3fe3,
+    (q15_t)0x3c45, (q15_t)0x3fe4, (q15_t)0x3c52, (q15_t)0x3fe5, (q15_t)0x3c5f, (q15_t)0x3fe6, (q15_t)0x3c6b, (q15_t)0x3fe6,
+    (q15_t)0x3c78, (q15_t)0x3fe7, (q15_t)0x3c84, (q15_t)0x3fe8, (q15_t)0x3c91, (q15_t)0x3fe8, (q15_t)0x3c9d, (q15_t)0x3fe9,
+    (q15_t)0x3caa, (q15_t)0x3fea, (q15_t)0x3cb6, (q15_t)0x3fea, (q15_t)0x3cc3, (q15_t)0x3feb, (q15_t)0x3cd0, (q15_t)0x3fec,
+    (q15_t)0x3cdc, (q15_t)0x3fec, (q15_t)0x3ce9, (q15_t)0x3fed, (q15_t)0x3cf5, (q15_t)0x3fed, (q15_t)0x3d02, (q15_t)0x3fee,
+    (q15_t)0x3d0e, (q15_t)0x3fef, (q15_t)0x3d1b, (q15_t)0x3fef, (q15_t)0x3d27, (q15_t)0x3ff0, (q15_t)0x3d34, (q15_t)0x3ff0,
+    (q15_t)0x3d40, (q15_t)0x3ff1, (q15_t)0x3d4d, (q15_t)0x3ff1, (q15_t)0x3d5a, (q15_t)0x3ff2, (q15_t)0x3d66, (q15_t)0x3ff2,
+    (q15_t)0x3d73, (q15_t)0x3ff3, (q15_t)0x3d7f, (q15_t)0x3ff3, (q15_t)0x3d8c, (q15_t)0x3ff4, (q15_t)0x3d98, (q15_t)0x3ff4,
+    (q15_t)0x3da5, (q15_t)0x3ff5, (q15_t)0x3db2, (q15_t)0x3ff5, (q15_t)0x3dbe, (q15_t)0x3ff6, (q15_t)0x3dcb, (q15_t)0x3ff6,
+    (q15_t)0x3dd7, (q15_t)0x3ff7, (q15_t)0x3de4, (q15_t)0x3ff7, (q15_t)0x3df0, (q15_t)0x3ff7, (q15_t)0x3dfd, (q15_t)0x3ff8,
+    (q15_t)0x3e09, (q15_t)0x3ff8, (q15_t)0x3e16, (q15_t)0x3ff9, (q15_t)0x3e23, (q15_t)0x3ff9, (q15_t)0x3e2f, (q15_t)0x3ff9,
+    (q15_t)0x3e3c, (q15_t)0x3ffa, (q15_t)0x3e48, (q15_t)0x3ffa, (q15_t)0x3e55, (q15_t)0x3ffa, (q15_t)0x3e61, (q15_t)0x3ffb,
+    (q15_t)0x3e6e, (q15_t)0x3ffb, (q15_t)0x3e7a, (q15_t)0x3ffb, (q15_t)0x3e87, (q15_t)0x3ffc, (q15_t)0x3e94, (q15_t)0x3ffc,
+    (q15_t)0x3ea0, (q15_t)0x3ffc, (q15_t)0x3ead, (q15_t)0x3ffc, (q15_t)0x3eb9, (q15_t)0x3ffd, (q15_t)0x3ec6, (q15_t)0x3ffd,
+    (q15_t)0x3ed2, (q15_t)0x3ffd, (q15_t)0x3edf, (q15_t)0x3ffd, (q15_t)0x3eec, (q15_t)0x3ffe, (q15_t)0x3ef8, (q15_t)0x3ffe,
+    (q15_t)0x3f05, (q15_t)0x3ffe, (q15_t)0x3f11, (q15_t)0x3ffe, (q15_t)0x3f1e, (q15_t)0x3ffe, (q15_t)0x3f2a, (q15_t)0x3fff,
+    (q15_t)0x3f37, (q15_t)0x3fff, (q15_t)0x3f44, (q15_t)0x3fff, (q15_t)0x3f50, (q15_t)0x3fff, (q15_t)0x3f5d, (q15_t)0x3fff,
+    (q15_t)0x3f69, (q15_t)0x3fff, (q15_t)0x3f76, (q15_t)0x3fff, (q15_t)0x3f82, (q15_t)0x4000, (q15_t)0x3f8f, (q15_t)0x4000,
+    (q15_t)0x3f9b, (q15_t)0x4000, (q15_t)0x3fa8, (q15_t)0x4000, (q15_t)0x3fb5, (q15_t)0x4000, (q15_t)0x3fc1, (q15_t)0x4000,
+    (q15_t)0x3fce, (q15_t)0x4000, (q15_t)0x3fda, (q15_t)0x4000, (q15_t)0x3fe7, (q15_t)0x4000, (q15_t)0x3ff3, (q15_t)0x4000,
+};
+
+/**
+  @par
+  Generation of real_CoefB array:
+  @par
+  n = 4096
+  <pre>for (i = 0; i < n; i++)
+  {
+     pBTable[2 * i]     = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+     pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+  }</pre>
+  @par
+  Convert to fixed point Q15 format
+        round(pBTable[i] * pow(2, 15))
+*/
+const q15_t __ALIGNED(4) realCoefBQ15[8192] = {
+    (q15_t)0x4000, (q15_t)0x4000, (q15_t)0x400d, (q15_t)0x4000, (q15_t)0x4019, (q15_t)0x4000, (q15_t)0x4026, (q15_t)0x4000,
+    (q15_t)0x4032, (q15_t)0x4000, (q15_t)0x403f, (q15_t)0x4000, (q15_t)0x404b, (q15_t)0x4000, (q15_t)0x4058, (q15_t)0x4000,
+    (q15_t)0x4065, (q15_t)0x4000, (q15_t)0x4071, (q15_t)0x4000, (q15_t)0x407e, (q15_t)0x4000, (q15_t)0x408a, (q15_t)0x3fff,
+    (q15_t)0x4097, (q15_t)0x3fff, (q15_t)0x40a3, (q15_t)0x3fff, (q15_t)0x40b0, (q15_t)0x3fff, (q15_t)0x40bc, (q15_t)0x3fff,
+    (q15_t)0x40c9, (q15_t)0x3fff, (q15_t)0x40d6, (q15_t)0x3fff, (q15_t)0x40e2, (q15_t)0x3ffe, (q15_t)0x40ef, (q15_t)0x3ffe,
+    (q15_t)0x40fb, (q15_t)0x3ffe, (q15_t)0x4108, (q15_t)0x3ffe, (q15_t)0x4114, (q15_t)0x3ffe, (q15_t)0x4121, (q15_t)0x3ffd,
+    (q15_t)0x412e, (q15_t)0x3ffd, (q15_t)0x413a, (q15_t)0x3ffd, (q15_t)0x4147, (q15_t)0x3ffd, (q15_t)0x4153, (q15_t)0x3ffc,
+    (q15_t)0x4160, (q15_t)0x3ffc, (q15_t)0x416c, (q15_t)0x3ffc, (q15_t)0x4179, (q15_t)0x3ffc, (q15_t)0x4186, (q15_t)0x3ffb,
+    (q15_t)0x4192, (q15_t)0x3ffb, (q15_t)0x419f, (q15_t)0x3ffb, (q15_t)0x41ab, (q15_t)0x3ffa, (q15_t)0x41b8, (q15_t)0x3ffa,
+    (q15_t)0x41c4, (q15_t)0x3ffa, (q15_t)0x41d1, (q15_t)0x3ff9, (q15_t)0x41dd, (q15_t)0x3ff9, (q15_t)0x41ea, (q15_t)0x3ff9,
+    (q15_t)0x41f7, (q15_t)0x3ff8, (q15_t)0x4203, (q15_t)0x3ff8, (q15_t)0x4210, (q15_t)0x3ff7, (q15_t)0x421c, (q15_t)0x3ff7,
+    (q15_t)0x4229, (q15_t)0x3ff7, (q15_t)0x4235, (q15_t)0x3ff6, (q15_t)0x4242, (q15_t)0x3ff6, (q15_t)0x424e, (q15_t)0x3ff5,
+    (q15_t)0x425b, (q15_t)0x3ff5, (q15_t)0x4268, (q15_t)0x3ff4, (q15_t)0x4274, (q15_t)0x3ff4, (q15_t)0x4281, (q15_t)0x3ff3,
+    (q15_t)0x428d, (q15_t)0x3ff3, (q15_t)0x429a, (q15_t)0x3ff2, (q15_t)0x42a6, (q15_t)0x3ff2, (q15_t)0x42b3, (q15_t)0x3ff1,
+    (q15_t)0x42c0, (q15_t)0x3ff1, (q15_t)0x42cc, (q15_t)0x3ff0, (q15_t)0x42d9, (q15_t)0x3ff0, (q15_t)0x42e5, (q15_t)0x3fef,
+    (q15_t)0x42f2, (q15_t)0x3fef, (q15_t)0x42fe, (q15_t)0x3fee, (q15_t)0x430b, (q15_t)0x3fed, (q15_t)0x4317, (q15_t)0x3fed,
+    (q15_t)0x4324, (q15_t)0x3fec, (q15_t)0x4330, (q15_t)0x3fec, (q15_t)0x433d, (q15_t)0x3feb, (q15_t)0x434a, (q15_t)0x3fea,
+    (q15_t)0x4356, (q15_t)0x3fea, (q15_t)0x4363, (q15_t)0x3fe9, (q15_t)0x436f, (q15_t)0x3fe8, (q15_t)0x437c, (q15_t)0x3fe8,
+    (q15_t)0x4388, (q15_t)0x3fe7, (q15_t)0x4395, (q15_t)0x3fe6, (q15_t)0x43a1, (q15_t)0x3fe6, (q15_t)0x43ae, (q15_t)0x3fe5,
+    (q15_t)0x43bb, (q15_t)0x3fe4, (q15_t)0x43c7, (q15_t)0x3fe3, (q15_t)0x43d4, (q15_t)0x3fe3, (q15_t)0x43e0, (q15_t)0x3fe2,
+    (q15_t)0x43ed, (q15_t)0x3fe1, (q15_t)0x43f9, (q15_t)0x3fe0, (q15_t)0x4406, (q15_t)0x3fe0, (q15_t)0x4412, (q15_t)0x3fdf,
+    (q15_t)0x441f, (q15_t)0x3fde, (q15_t)0x442b, (q15_t)0x3fdd, (q15_t)0x4438, (q15_t)0x3fdc, (q15_t)0x4444, (q15_t)0x3fdc,
+    (q15_t)0x4451, (q15_t)0x3fdb, (q15_t)0x445e, (q15_t)0x3fda, (q15_t)0x446a, (q15_t)0x3fd9, (q15_t)0x4477, (q15_t)0x3fd8,
+    (q15_t)0x4483, (q15_t)0x3fd7, (q15_t)0x4490, (q15_t)0x3fd6, (q15_t)0x449c, (q15_t)0x3fd5, (q15_t)0x44a9, (q15_t)0x3fd5,
+    (q15_t)0x44b5, (q15_t)0x3fd4, (q15_t)0x44c2, (q15_t)0x3fd3, (q15_t)0x44ce, (q15_t)0x3fd2, (q15_t)0x44db, (q15_t)0x3fd1,
+    (q15_t)0x44e7, (q15_t)0x3fd0, (q15_t)0x44f4, (q15_t)0x3fcf, (q15_t)0x4500, (q15_t)0x3fce, (q15_t)0x450d, (q15_t)0x3fcd,
+    (q15_t)0x451a, (q15_t)0x3fcc, (q15_t)0x4526, (q15_t)0x3fcb, (q15_t)0x4533, (q15_t)0x3fca, (q15_t)0x453f, (q15_t)0x3fc9,
+    (q15_t)0x454c, (q15_t)0x3fc8, (q15_t)0x4558, (q15_t)0x3fc7, (q15_t)0x4565, (q15_t)0x3fc6, (q15_t)0x4571, (q15_t)0x3fc5,
+    (q15_t)0x457e, (q15_t)0x3fc4, (q15_t)0x458a, (q15_t)0x3fc3, (q15_t)0x4597, (q15_t)0x3fc1, (q15_t)0x45a3, (q15_t)0x3fc0,
+    (q15_t)0x45b0, (q15_t)0x3fbf, (q15_t)0x45bc, (q15_t)0x3fbe, (q15_t)0x45c9, (q15_t)0x3fbd, (q15_t)0x45d5, (q15_t)0x3fbc,
+    (q15_t)0x45e2, (q15_t)0x3fbb, (q15_t)0x45ee, (q15_t)0x3fb9, (q15_t)0x45fb, (q15_t)0x3fb8, (q15_t)0x4607, (q15_t)0x3fb7,
+    (q15_t)0x4614, (q15_t)0x3fb6, (q15_t)0x4620, (q15_t)0x3fb5, (q15_t)0x462d, (q15_t)0x3fb4, (q15_t)0x4639, (q15_t)0x3fb2,
+    (q15_t)0x4646, (q15_t)0x3fb1, (q15_t)0x4652, (q15_t)0x3fb0, (q15_t)0x465f, (q15_t)0x3faf, (q15_t)0x466b, (q15_t)0x3fad,
+    (q15_t)0x4678, (q15_t)0x3fac, (q15_t)0x4684, (q15_t)0x3fab, (q15_t)0x4691, (q15_t)0x3faa, (q15_t)0x469d, (q15_t)0x3fa8,
+    (q15_t)0x46aa, (q15_t)0x3fa7, (q15_t)0x46b6, (q15_t)0x3fa6, (q15_t)0x46c3, (q15_t)0x3fa4, (q15_t)0x46cf, (q15_t)0x3fa3,
+    (q15_t)0x46dc, (q15_t)0x3fa2, (q15_t)0x46e8, (q15_t)0x3fa0, (q15_t)0x46f5, (q15_t)0x3f9f, (q15_t)0x4701, (q15_t)0x3f9e,
+    (q15_t)0x470e, (q15_t)0x3f9c, (q15_t)0x471a, (q15_t)0x3f9b, (q15_t)0x4727, (q15_t)0x3f99, (q15_t)0x4733, (q15_t)0x3f98,
+    (q15_t)0x4740, (q15_t)0x3f97, (q15_t)0x474c, (q15_t)0x3f95, (q15_t)0x4759, (q15_t)0x3f94, (q15_t)0x4765, (q15_t)0x3f92,
+    (q15_t)0x4772, (q15_t)0x3f91, (q15_t)0x477e, (q15_t)0x3f8f, (q15_t)0x478b, (q15_t)0x3f8e, (q15_t)0x4797, (q15_t)0x3f8c,
+    (q15_t)0x47a4, (q15_t)0x3f8b, (q15_t)0x47b0, (q15_t)0x3f89, (q15_t)0x47bd, (q15_t)0x3f88, (q15_t)0x47c9, (q15_t)0x3f86,
+    (q15_t)0x47d6, (q15_t)0x3f85, (q15_t)0x47e2, (q15_t)0x3f83, (q15_t)0x47ef, (q15_t)0x3f82, (q15_t)0x47fb, (q15_t)0x3f80,
+    (q15_t)0x4807, (q15_t)0x3f7f, (q15_t)0x4814, (q15_t)0x3f7d, (q15_t)0x4820, (q15_t)0x3f7b, (q15_t)0x482d, (q15_t)0x3f7a,
+    (q15_t)0x4839, (q15_t)0x3f78, (q15_t)0x4846, (q15_t)0x3f77, (q15_t)0x4852, (q15_t)0x3f75, (q15_t)0x485f, (q15_t)0x3f73,
+    (q15_t)0x486b, (q15_t)0x3f72, (q15_t)0x4878, (q15_t)0x3f70, (q15_t)0x4884, (q15_t)0x3f6e, (q15_t)0x4891, (q15_t)0x3f6d,
+    (q15_t)0x489d, (q15_t)0x3f6b, (q15_t)0x48a9, (q15_t)0x3f69, (q15_t)0x48b6, (q15_t)0x3f68, (q15_t)0x48c2, (q15_t)0x3f66,
+    (q15_t)0x48cf, (q15_t)0x3f64, (q15_t)0x48db, (q15_t)0x3f62, (q15_t)0x48e8, (q15_t)0x3f61, (q15_t)0x48f4, (q15_t)0x3f5f,
+    (q15_t)0x4901, (q15_t)0x3f5d, (q15_t)0x490d, (q15_t)0x3f5b, (q15_t)0x4919, (q15_t)0x3f5a, (q15_t)0x4926, (q15_t)0x3f58,
+    (q15_t)0x4932, (q15_t)0x3f56, (q15_t)0x493f, (q15_t)0x3f54, (q15_t)0x494b, (q15_t)0x3f52, (q15_t)0x4958, (q15_t)0x3f51,
+    (q15_t)0x4964, (q15_t)0x3f4f, (q15_t)0x4970, (q15_t)0x3f4d, (q15_t)0x497d, (q15_t)0x3f4b, (q15_t)0x4989, (q15_t)0x3f49,
+    (q15_t)0x4996, (q15_t)0x3f47, (q15_t)0x49a2, (q15_t)0x3f45, (q15_t)0x49af, (q15_t)0x3f43, (q15_t)0x49bb, (q15_t)0x3f42,
+    (q15_t)0x49c7, (q15_t)0x3f40, (q15_t)0x49d4, (q15_t)0x3f3e, (q15_t)0x49e0, (q15_t)0x3f3c, (q15_t)0x49ed, (q15_t)0x3f3a,
+    (q15_t)0x49f9, (q15_t)0x3f38, (q15_t)0x4a06, (q15_t)0x3f36, (q15_t)0x4a12, (q15_t)0x3f34, (q15_t)0x4a1e, (q15_t)0x3f32,
+    (q15_t)0x4a2b, (q15_t)0x3f30, (q15_t)0x4a37, (q15_t)0x3f2e, (q15_t)0x4a44, (q15_t)0x3f2c, (q15_t)0x4a50, (q15_t)0x3f2a,
+    (q15_t)0x4a5c, (q15_t)0x3f28, (q15_t)0x4a69, (q15_t)0x3f26, (q15_t)0x4a75, (q15_t)0x3f24, (q15_t)0x4a82, (q15_t)0x3f22,
+    (q15_t)0x4a8e, (q15_t)0x3f20, (q15_t)0x4a9a, (q15_t)0x3f1e, (q15_t)0x4aa7, (q15_t)0x3f1c, (q15_t)0x4ab3, (q15_t)0x3f19,
+    (q15_t)0x4ac0, (q15_t)0x3f17, (q15_t)0x4acc, (q15_t)0x3f15, (q15_t)0x4ad8, (q15_t)0x3f13, (q15_t)0x4ae5, (q15_t)0x3f11,
+    (q15_t)0x4af1, (q15_t)0x3f0f, (q15_t)0x4afd, (q15_t)0x3f0d, (q15_t)0x4b0a, (q15_t)0x3f0a, (q15_t)0x4b16, (q15_t)0x3f08,
+    (q15_t)0x4b23, (q15_t)0x3f06, (q15_t)0x4b2f, (q15_t)0x3f04, (q15_t)0x4b3b, (q15_t)0x3f02, (q15_t)0x4b48, (q15_t)0x3f00,
+    (q15_t)0x4b54, (q15_t)0x3efd, (q15_t)0x4b60, (q15_t)0x3efb, (q15_t)0x4b6d, (q15_t)0x3ef9, (q15_t)0x4b79, (q15_t)0x3ef7,
+    (q15_t)0x4b85, (q15_t)0x3ef4, (q15_t)0x4b92, (q15_t)0x3ef2, (q15_t)0x4b9e, (q15_t)0x3ef0, (q15_t)0x4bab, (q15_t)0x3eed,
+    (q15_t)0x4bb7, (q15_t)0x3eeb, (q15_t)0x4bc3, (q15_t)0x3ee9, (q15_t)0x4bd0, (q15_t)0x3ee7, (q15_t)0x4bdc, (q15_t)0x3ee4,
+    (q15_t)0x4be8, (q15_t)0x3ee2, (q15_t)0x4bf5, (q15_t)0x3ee0, (q15_t)0x4c01, (q15_t)0x3edd, (q15_t)0x4c0d, (q15_t)0x3edb,
+    (q15_t)0x4c1a, (q15_t)0x3ed8, (q15_t)0x4c26, (q15_t)0x3ed6, (q15_t)0x4c32, (q15_t)0x3ed4, (q15_t)0x4c3f, (q15_t)0x3ed1,
+    (q15_t)0x4c4b, (q15_t)0x3ecf, (q15_t)0x4c57, (q15_t)0x3ecc, (q15_t)0x4c64, (q15_t)0x3eca, (q15_t)0x4c70, (q15_t)0x3ec8,
+    (q15_t)0x4c7c, (q15_t)0x3ec5, (q15_t)0x4c89, (q15_t)0x3ec3, (q15_t)0x4c95, (q15_t)0x3ec0, (q15_t)0x4ca1, (q15_t)0x3ebe,
+    (q15_t)0x4cae, (q15_t)0x3ebb, (q15_t)0x4cba, (q15_t)0x3eb9, (q15_t)0x4cc6, (q15_t)0x3eb6, (q15_t)0x4cd3, (q15_t)0x3eb4,
+    (q15_t)0x4cdf, (q15_t)0x3eb1, (q15_t)0x4ceb, (q15_t)0x3eaf, (q15_t)0x4cf8, (q15_t)0x3eac, (q15_t)0x4d04, (q15_t)0x3eaa,
+    (q15_t)0x4d10, (q15_t)0x3ea7, (q15_t)0x4d1c, (q15_t)0x3ea5, (q15_t)0x4d29, (q15_t)0x3ea2, (q15_t)0x4d35, (q15_t)0x3e9f,
+    (q15_t)0x4d41, (q15_t)0x3e9d, (q15_t)0x4d4e, (q15_t)0x3e9a, (q15_t)0x4d5a, (q15_t)0x3e98, (q15_t)0x4d66, (q15_t)0x3e95,
+    (q15_t)0x4d72, (q15_t)0x3e92, (q15_t)0x4d7f, (q15_t)0x3e90, (q15_t)0x4d8b, (q15_t)0x3e8d, (q15_t)0x4d97, (q15_t)0x3e8a,
+    (q15_t)0x4da4, (q15_t)0x3e88, (q15_t)0x4db0, (q15_t)0x3e85, (q15_t)0x4dbc, (q15_t)0x3e82, (q15_t)0x4dc8, (q15_t)0x3e80,
+    (q15_t)0x4dd5, (q15_t)0x3e7d, (q15_t)0x4de1, (q15_t)0x3e7a, (q15_t)0x4ded, (q15_t)0x3e77, (q15_t)0x4df9, (q15_t)0x3e75,
+    (q15_t)0x4e06, (q15_t)0x3e72, (q15_t)0x4e12, (q15_t)0x3e6f, (q15_t)0x4e1e, (q15_t)0x3e6c, (q15_t)0x4e2b, (q15_t)0x3e6a,
+    (q15_t)0x4e37, (q15_t)0x3e67, (q15_t)0x4e43, (q15_t)0x3e64, (q15_t)0x4e4f, (q15_t)0x3e61, (q15_t)0x4e5c, (q15_t)0x3e5e,
+    (q15_t)0x4e68, (q15_t)0x3e5c, (q15_t)0x4e74, (q15_t)0x3e59, (q15_t)0x4e80, (q15_t)0x3e56, (q15_t)0x4e8c, (q15_t)0x3e53,
+    (q15_t)0x4e99, (q15_t)0x3e50, (q15_t)0x4ea5, (q15_t)0x3e4d, (q15_t)0x4eb1, (q15_t)0x3e4a, (q15_t)0x4ebd, (q15_t)0x3e48,
+    (q15_t)0x4eca, (q15_t)0x3e45, (q15_t)0x4ed6, (q15_t)0x3e42, (q15_t)0x4ee2, (q15_t)0x3e3f, (q15_t)0x4eee, (q15_t)0x3e3c,
+    (q15_t)0x4efb, (q15_t)0x3e39, (q15_t)0x4f07, (q15_t)0x3e36, (q15_t)0x4f13, (q15_t)0x3e33, (q15_t)0x4f1f, (q15_t)0x3e30,
+    (q15_t)0x4f2b, (q15_t)0x3e2d, (q15_t)0x4f38, (q15_t)0x3e2a, (q15_t)0x4f44, (q15_t)0x3e27, (q15_t)0x4f50, (q15_t)0x3e24,
+    (q15_t)0x4f5c, (q15_t)0x3e21, (q15_t)0x4f68, (q15_t)0x3e1e, (q15_t)0x4f75, (q15_t)0x3e1b, (q15_t)0x4f81, (q15_t)0x3e18,
+    (q15_t)0x4f8d, (q15_t)0x3e15, (q15_t)0x4f99, (q15_t)0x3e12, (q15_t)0x4fa5, (q15_t)0x3e0f, (q15_t)0x4fb2, (q15_t)0x3e0c,
+    (q15_t)0x4fbe, (q15_t)0x3e09, (q15_t)0x4fca, (q15_t)0x3e06, (q15_t)0x4fd6, (q15_t)0x3e03, (q15_t)0x4fe2, (q15_t)0x3dff,
+    (q15_t)0x4fee, (q15_t)0x3dfc, (q15_t)0x4ffb, (q15_t)0x3df9, (q15_t)0x5007, (q15_t)0x3df6, (q15_t)0x5013, (q15_t)0x3df3,
+    (q15_t)0x501f, (q15_t)0x3df0, (q15_t)0x502b, (q15_t)0x3ded, (q15_t)0x5037, (q15_t)0x3de9, (q15_t)0x5044, (q15_t)0x3de6,
+    (q15_t)0x5050, (q15_t)0x3de3, (q15_t)0x505c, (q15_t)0x3de0, (q15_t)0x5068, (q15_t)0x3ddd, (q15_t)0x5074, (q15_t)0x3dd9,
+    (q15_t)0x5080, (q15_t)0x3dd6, (q15_t)0x508c, (q15_t)0x3dd3, (q15_t)0x5099, (q15_t)0x3dd0, (q15_t)0x50a5, (q15_t)0x3dcc,
+    (q15_t)0x50b1, (q15_t)0x3dc9, (q15_t)0x50bd, (q15_t)0x3dc6, (q15_t)0x50c9, (q15_t)0x3dc2, (q15_t)0x50d5, (q15_t)0x3dbf,
+    (q15_t)0x50e1, (q15_t)0x3dbc, (q15_t)0x50ed, (q15_t)0x3db9, (q15_t)0x50fa, (q15_t)0x3db5, (q15_t)0x5106, (q15_t)0x3db2,
+    (q15_t)0x5112, (q15_t)0x3daf, (q15_t)0x511e, (q15_t)0x3dab, (q15_t)0x512a, (q15_t)0x3da8, (q15_t)0x5136, (q15_t)0x3da4,
+    (q15_t)0x5142, (q15_t)0x3da1, (q15_t)0x514e, (q15_t)0x3d9e, (q15_t)0x515a, (q15_t)0x3d9a, (q15_t)0x5167, (q15_t)0x3d97,
+    (q15_t)0x5173, (q15_t)0x3d93, (q15_t)0x517f, (q15_t)0x3d90, (q15_t)0x518b, (q15_t)0x3d8d, (q15_t)0x5197, (q15_t)0x3d89,
+    (q15_t)0x51a3, (q15_t)0x3d86, (q15_t)0x51af, (q15_t)0x3d82, (q15_t)0x51bb, (q15_t)0x3d7f, (q15_t)0x51c7, (q15_t)0x3d7b,
+    (q15_t)0x51d3, (q15_t)0x3d78, (q15_t)0x51df, (q15_t)0x3d74, (q15_t)0x51eb, (q15_t)0x3d71, (q15_t)0x51f7, (q15_t)0x3d6d,
+    (q15_t)0x5204, (q15_t)0x3d6a, (q15_t)0x5210, (q15_t)0x3d66, (q15_t)0x521c, (q15_t)0x3d63, (q15_t)0x5228, (q15_t)0x3d5f,
+    (q15_t)0x5234, (q15_t)0x3d5b, (q15_t)0x5240, (q15_t)0x3d58, (q15_t)0x524c, (q15_t)0x3d54, (q15_t)0x5258, (q15_t)0x3d51,
+    (q15_t)0x5264, (q15_t)0x3d4d, (q15_t)0x5270, (q15_t)0x3d49, (q15_t)0x527c, (q15_t)0x3d46, (q15_t)0x5288, (q15_t)0x3d42,
+    (q15_t)0x5294, (q15_t)0x3d3f, (q15_t)0x52a0, (q15_t)0x3d3b, (q15_t)0x52ac, (q15_t)0x3d37, (q15_t)0x52b8, (q15_t)0x3d34,
+    (q15_t)0x52c4, (q15_t)0x3d30, (q15_t)0x52d0, (q15_t)0x3d2c, (q15_t)0x52dc, (q15_t)0x3d28, (q15_t)0x52e8, (q15_t)0x3d25,
+    (q15_t)0x52f4, (q15_t)0x3d21, (q15_t)0x5300, (q15_t)0x3d1d, (q15_t)0x530c, (q15_t)0x3d1a, (q15_t)0x5318, (q15_t)0x3d16,
+    (q15_t)0x5324, (q15_t)0x3d12, (q15_t)0x5330, (q15_t)0x3d0e, (q15_t)0x533c, (q15_t)0x3d0b, (q15_t)0x5348, (q15_t)0x3d07,
+    (q15_t)0x5354, (q15_t)0x3d03, (q15_t)0x5360, (q15_t)0x3cff, (q15_t)0x536c, (q15_t)0x3cfb, (q15_t)0x5378, (q15_t)0x3cf8,
+    (q15_t)0x5384, (q15_t)0x3cf4, (q15_t)0x5390, (q15_t)0x3cf0, (q15_t)0x539c, (q15_t)0x3cec, (q15_t)0x53a8, (q15_t)0x3ce8,
+    (q15_t)0x53b4, (q15_t)0x3ce4, (q15_t)0x53c0, (q15_t)0x3ce0, (q15_t)0x53cc, (q15_t)0x3cdd, (q15_t)0x53d8, (q15_t)0x3cd9,
+    (q15_t)0x53e4, (q15_t)0x3cd5, (q15_t)0x53f0, (q15_t)0x3cd1, (q15_t)0x53fb, (q15_t)0x3ccd, (q15_t)0x5407, (q15_t)0x3cc9,
+    (q15_t)0x5413, (q15_t)0x3cc5, (q15_t)0x541f, (q15_t)0x3cc1, (q15_t)0x542b, (q15_t)0x3cbd, (q15_t)0x5437, (q15_t)0x3cb9,
+    (q15_t)0x5443, (q15_t)0x3cb5, (q15_t)0x544f, (q15_t)0x3cb1, (q15_t)0x545b, (q15_t)0x3cad, (q15_t)0x5467, (q15_t)0x3ca9,
+    (q15_t)0x5473, (q15_t)0x3ca5, (q15_t)0x547f, (q15_t)0x3ca1, (q15_t)0x548b, (q15_t)0x3c9d, (q15_t)0x5496, (q15_t)0x3c99,
+    (q15_t)0x54a2, (q15_t)0x3c95, (q15_t)0x54ae, (q15_t)0x3c91, (q15_t)0x54ba, (q15_t)0x3c8d, (q15_t)0x54c6, (q15_t)0x3c89,
+    (q15_t)0x54d2, (q15_t)0x3c85, (q15_t)0x54de, (q15_t)0x3c81, (q15_t)0x54ea, (q15_t)0x3c7d, (q15_t)0x54f6, (q15_t)0x3c79,
+    (q15_t)0x5501, (q15_t)0x3c74, (q15_t)0x550d, (q15_t)0x3c70, (q15_t)0x5519, (q15_t)0x3c6c, (q15_t)0x5525, (q15_t)0x3c68,
+    (q15_t)0x5531, (q15_t)0x3c64, (q15_t)0x553d, (q15_t)0x3c60, (q15_t)0x5549, (q15_t)0x3c5b, (q15_t)0x5554, (q15_t)0x3c57,
+    (q15_t)0x5560, (q15_t)0x3c53, (q15_t)0x556c, (q15_t)0x3c4f, (q15_t)0x5578, (q15_t)0x3c4b, (q15_t)0x5584, (q15_t)0x3c46,
+    (q15_t)0x5590, (q15_t)0x3c42, (q15_t)0x559b, (q15_t)0x3c3e, (q15_t)0x55a7, (q15_t)0x3c3a, (q15_t)0x55b3, (q15_t)0x3c36,
+    (q15_t)0x55bf, (q15_t)0x3c31, (q15_t)0x55cb, (q15_t)0x3c2d, (q15_t)0x55d7, (q15_t)0x3c29, (q15_t)0x55e2, (q15_t)0x3c24,
+    (q15_t)0x55ee, (q15_t)0x3c20, (q15_t)0x55fa, (q15_t)0x3c1c, (q15_t)0x5606, (q15_t)0x3c17, (q15_t)0x5612, (q15_t)0x3c13,
+    (q15_t)0x561d, (q15_t)0x3c0f, (q15_t)0x5629, (q15_t)0x3c0a, (q15_t)0x5635, (q15_t)0x3c06, (q15_t)0x5641, (q15_t)0x3c02,
+    (q15_t)0x564c, (q15_t)0x3bfd, (q15_t)0x5658, (q15_t)0x3bf9, (q15_t)0x5664, (q15_t)0x3bf5, (q15_t)0x5670, (q15_t)0x3bf0,
+    (q15_t)0x567c, (q15_t)0x3bec, (q15_t)0x5687, (q15_t)0x3be7, (q15_t)0x5693, (q15_t)0x3be3, (q15_t)0x569f, (q15_t)0x3bde,
+    (q15_t)0x56ab, (q15_t)0x3bda, (q15_t)0x56b6, (q15_t)0x3bd6, (q15_t)0x56c2, (q15_t)0x3bd1, (q15_t)0x56ce, (q15_t)0x3bcd,
+    (q15_t)0x56da, (q15_t)0x3bc8, (q15_t)0x56e5, (q15_t)0x3bc4, (q15_t)0x56f1, (q15_t)0x3bbf, (q15_t)0x56fd, (q15_t)0x3bbb,
+    (q15_t)0x5709, (q15_t)0x3bb6, (q15_t)0x5714, (q15_t)0x3bb2, (q15_t)0x5720, (q15_t)0x3bad, (q15_t)0x572c, (q15_t)0x3ba9,
+    (q15_t)0x5737, (q15_t)0x3ba4, (q15_t)0x5743, (q15_t)0x3b9f, (q15_t)0x574f, (q15_t)0x3b9b, (q15_t)0x575b, (q15_t)0x3b96,
+    (q15_t)0x5766, (q15_t)0x3b92, (q15_t)0x5772, (q15_t)0x3b8d, (q15_t)0x577e, (q15_t)0x3b88, (q15_t)0x5789, (q15_t)0x3b84,
+    (q15_t)0x5795, (q15_t)0x3b7f, (q15_t)0x57a1, (q15_t)0x3b7b, (q15_t)0x57ac, (q15_t)0x3b76, (q15_t)0x57b8, (q15_t)0x3b71,
+    (q15_t)0x57c4, (q15_t)0x3b6d, (q15_t)0x57cf, (q15_t)0x3b68, (q15_t)0x57db, (q15_t)0x3b63, (q15_t)0x57e7, (q15_t)0x3b5f,
+    (q15_t)0x57f2, (q15_t)0x3b5a, (q15_t)0x57fe, (q15_t)0x3b55, (q15_t)0x580a, (q15_t)0x3b50, (q15_t)0x5815, (q15_t)0x3b4c,
+    (q15_t)0x5821, (q15_t)0x3b47, (q15_t)0x582d, (q15_t)0x3b42, (q15_t)0x5838, (q15_t)0x3b3e, (q15_t)0x5844, (q15_t)0x3b39,
+    (q15_t)0x584f, (q15_t)0x3b34, (q15_t)0x585b, (q15_t)0x3b2f, (q15_t)0x5867, (q15_t)0x3b2a, (q15_t)0x5872, (q15_t)0x3b26,
+    (q15_t)0x587e, (q15_t)0x3b21, (q15_t)0x5889, (q15_t)0x3b1c, (q15_t)0x5895, (q15_t)0x3b17, (q15_t)0x58a1, (q15_t)0x3b12,
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+    (q15_t)0x58db, (q15_t)0x3afa, (q15_t)0x58e6, (q15_t)0x3af5, (q15_t)0x58f2, (q15_t)0x3af0, (q15_t)0x58fd, (q15_t)0x3aeb,
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+    (q15_t)0x66c1, (q15_t)0x32ef, (q15_t)0x66cb, (q15_t)0x32e7, (q15_t)0x66d5, (q15_t)0x32e0, (q15_t)0x66df, (q15_t)0x32d8,
+    (q15_t)0x66e9, (q15_t)0x32d0, (q15_t)0x66f3, (q15_t)0x32c9, (q15_t)0x66fd, (q15_t)0x32c1, (q15_t)0x6707, (q15_t)0x32ba,
+    (q15_t)0x6711, (q15_t)0x32b2, (q15_t)0x671a, (q15_t)0x32aa, (q15_t)0x6724, (q15_t)0x32a3, (q15_t)0x672e, (q15_t)0x329b,
+    (q15_t)0x6738, (q15_t)0x3293, (q15_t)0x6742, (q15_t)0x328b, (q15_t)0x674c, (q15_t)0x3284, (q15_t)0x6756, (q15_t)0x327c,
+    (q15_t)0x6760, (q15_t)0x3274, (q15_t)0x676a, (q15_t)0x326d, (q15_t)0x6774, (q15_t)0x3265, (q15_t)0x677e, (q15_t)0x325d,
+    (q15_t)0x6788, (q15_t)0x3255, (q15_t)0x6791, (q15_t)0x324e, (q15_t)0x679b, (q15_t)0x3246, (q15_t)0x67a5, (q15_t)0x323e,
+    (q15_t)0x67af, (q15_t)0x3236, (q15_t)0x67b9, (q15_t)0x322e, (q15_t)0x67c3, (q15_t)0x3227, (q15_t)0x67cd, (q15_t)0x321f,
+    (q15_t)0x67d6, (q15_t)0x3217, (q15_t)0x67e0, (q15_t)0x320f, (q15_t)0x67ea, (q15_t)0x3207, (q15_t)0x67f4, (q15_t)0x31ff,
+    (q15_t)0x67fe, (q15_t)0x31f8, (q15_t)0x6808, (q15_t)0x31f0, (q15_t)0x6811, (q15_t)0x31e8, (q15_t)0x681b, (q15_t)0x31e0,
+    (q15_t)0x6825, (q15_t)0x31d8, (q15_t)0x682f, (q15_t)0x31d0, (q15_t)0x6838, (q15_t)0x31c8, (q15_t)0x6842, (q15_t)0x31c0,
+    (q15_t)0x684c, (q15_t)0x31b9, (q15_t)0x6856, (q15_t)0x31b1, (q15_t)0x6860, (q15_t)0x31a9, (q15_t)0x6869, (q15_t)0x31a1,
+    (q15_t)0x6873, (q15_t)0x3199, (q15_t)0x687d, (q15_t)0x3191, (q15_t)0x6886, (q15_t)0x3189, (q15_t)0x6890, (q15_t)0x3181,
+    (q15_t)0x689a, (q15_t)0x3179, (q15_t)0x68a4, (q15_t)0x3171, (q15_t)0x68ad, (q15_t)0x3169, (q15_t)0x68b7, (q15_t)0x3161,
+    (q15_t)0x68c1, (q15_t)0x3159, (q15_t)0x68ca, (q15_t)0x3151, (q15_t)0x68d4, (q15_t)0x3149, (q15_t)0x68de, (q15_t)0x3141,
+    (q15_t)0x68e7, (q15_t)0x3139, (q15_t)0x68f1, (q15_t)0x3131, (q15_t)0x68fb, (q15_t)0x3129, (q15_t)0x6904, (q15_t)0x3121,
+    (q15_t)0x690e, (q15_t)0x3119, (q15_t)0x6918, (q15_t)0x3111, (q15_t)0x6921, (q15_t)0x3109, (q15_t)0x692b, (q15_t)0x3101,
+    (q15_t)0x6935, (q15_t)0x30f9, (q15_t)0x693e, (q15_t)0x30f0, (q15_t)0x6948, (q15_t)0x30e8, (q15_t)0x6951, (q15_t)0x30e0,
+    (q15_t)0x695b, (q15_t)0x30d8, (q15_t)0x6965, (q15_t)0x30d0, (q15_t)0x696e, (q15_t)0x30c8, (q15_t)0x6978, (q15_t)0x30c0,
+    (q15_t)0x6981, (q15_t)0x30b8, (q15_t)0x698b, (q15_t)0x30af, (q15_t)0x6994, (q15_t)0x30a7, (q15_t)0x699e, (q15_t)0x309f,
+    (q15_t)0x69a7, (q15_t)0x3097, (q15_t)0x69b1, (q15_t)0x308f, (q15_t)0x69bb, (q15_t)0x3087, (q15_t)0x69c4, (q15_t)0x307e,
+    (q15_t)0x69ce, (q15_t)0x3076, (q15_t)0x69d7, (q15_t)0x306e, (q15_t)0x69e1, (q15_t)0x3066, (q15_t)0x69ea, (q15_t)0x305d,
+    (q15_t)0x69f4, (q15_t)0x3055, (q15_t)0x69fd, (q15_t)0x304d, (q15_t)0x6a07, (q15_t)0x3045, (q15_t)0x6a10, (q15_t)0x303c,
+    (q15_t)0x6a1a, (q15_t)0x3034, (q15_t)0x6a23, (q15_t)0x302c, (q15_t)0x6a2c, (q15_t)0x3024, (q15_t)0x6a36, (q15_t)0x301b,
+    (q15_t)0x6a3f, (q15_t)0x3013, (q15_t)0x6a49, (q15_t)0x300b, (q15_t)0x6a52, (q15_t)0x3002, (q15_t)0x6a5c, (q15_t)0x2ffa,
+    (q15_t)0x6a65, (q15_t)0x2ff2, (q15_t)0x6a6e, (q15_t)0x2fea, (q15_t)0x6a78, (q15_t)0x2fe1, (q15_t)0x6a81, (q15_t)0x2fd9,
+    (q15_t)0x6a8b, (q15_t)0x2fd0, (q15_t)0x6a94, (q15_t)0x2fc8, (q15_t)0x6a9d, (q15_t)0x2fc0, (q15_t)0x6aa7, (q15_t)0x2fb7,
+    (q15_t)0x6ab0, (q15_t)0x2faf, (q15_t)0x6ab9, (q15_t)0x2fa7, (q15_t)0x6ac3, (q15_t)0x2f9e, (q15_t)0x6acc, (q15_t)0x2f96,
+    (q15_t)0x6ad6, (q15_t)0x2f8d, (q15_t)0x6adf, (q15_t)0x2f85, (q15_t)0x6ae8, (q15_t)0x2f7d, (q15_t)0x6af2, (q15_t)0x2f74,
+    (q15_t)0x6afb, (q15_t)0x2f6c, (q15_t)0x6b04, (q15_t)0x2f63, (q15_t)0x6b0d, (q15_t)0x2f5b, (q15_t)0x6b17, (q15_t)0x2f52,
+    (q15_t)0x6b20, (q15_t)0x2f4a, (q15_t)0x6b29, (q15_t)0x2f41, (q15_t)0x6b33, (q15_t)0x2f39, (q15_t)0x6b3c, (q15_t)0x2f30,
+    (q15_t)0x6b45, (q15_t)0x2f28, (q15_t)0x6b4e, (q15_t)0x2f20, (q15_t)0x6b58, (q15_t)0x2f17, (q15_t)0x6b61, (q15_t)0x2f0e,
+    (q15_t)0x6b6a, (q15_t)0x2f06, (q15_t)0x6b73, (q15_t)0x2efd, (q15_t)0x6b7d, (q15_t)0x2ef5, (q15_t)0x6b86, (q15_t)0x2eec,
+    (q15_t)0x6b8f, (q15_t)0x2ee4, (q15_t)0x6b98, (q15_t)0x2edb, (q15_t)0x6ba1, (q15_t)0x2ed3, (q15_t)0x6bab, (q15_t)0x2eca,
+    (q15_t)0x6bb4, (q15_t)0x2ec2, (q15_t)0x6bbd, (q15_t)0x2eb9, (q15_t)0x6bc6, (q15_t)0x2eb0, (q15_t)0x6bcf, (q15_t)0x2ea8,
+    (q15_t)0x6bd8, (q15_t)0x2e9f, (q15_t)0x6be2, (q15_t)0x2e97, (q15_t)0x6beb, (q15_t)0x2e8e, (q15_t)0x6bf4, (q15_t)0x2e85,
+    (q15_t)0x6bfd, (q15_t)0x2e7d, (q15_t)0x6c06, (q15_t)0x2e74, (q15_t)0x6c0f, (q15_t)0x2e6b, (q15_t)0x6c18, (q15_t)0x2e63,
+    (q15_t)0x6c21, (q15_t)0x2e5a, (q15_t)0x6c2b, (q15_t)0x2e51, (q15_t)0x6c34, (q15_t)0x2e49, (q15_t)0x6c3d, (q15_t)0x2e40,
+    (q15_t)0x6c46, (q15_t)0x2e37, (q15_t)0x6c4f, (q15_t)0x2e2f, (q15_t)0x6c58, (q15_t)0x2e26, (q15_t)0x6c61, (q15_t)0x2e1d,
+    (q15_t)0x6c6a, (q15_t)0x2e15, (q15_t)0x6c73, (q15_t)0x2e0c, (q15_t)0x6c7c, (q15_t)0x2e03, (q15_t)0x6c85, (q15_t)0x2dfa,
+    (q15_t)0x6c8e, (q15_t)0x2df2, (q15_t)0x6c97, (q15_t)0x2de9, (q15_t)0x6ca0, (q15_t)0x2de0, (q15_t)0x6ca9, (q15_t)0x2dd7,
+    (q15_t)0x6cb2, (q15_t)0x2dcf, (q15_t)0x6cbb, (q15_t)0x2dc6, (q15_t)0x6cc4, (q15_t)0x2dbd, (q15_t)0x6ccd, (q15_t)0x2db4,
+    (q15_t)0x6cd6, (q15_t)0x2dab, (q15_t)0x6cdf, (q15_t)0x2da3, (q15_t)0x6ce8, (q15_t)0x2d9a, (q15_t)0x6cf1, (q15_t)0x2d91,
+    (q15_t)0x6cfa, (q15_t)0x2d88, (q15_t)0x6d03, (q15_t)0x2d7f, (q15_t)0x6d0c, (q15_t)0x2d76, (q15_t)0x6d15, (q15_t)0x2d6e,
+    (q15_t)0x6d1e, (q15_t)0x2d65, (q15_t)0x6d27, (q15_t)0x2d5c, (q15_t)0x6d2f, (q15_t)0x2d53, (q15_t)0x6d38, (q15_t)0x2d4a,
+    (q15_t)0x6d41, (q15_t)0x2d41, (q15_t)0x6d4a, (q15_t)0x2d38, (q15_t)0x6d53, (q15_t)0x2d2f, (q15_t)0x6d5c, (q15_t)0x2d27,
+    (q15_t)0x6d65, (q15_t)0x2d1e, (q15_t)0x6d6e, (q15_t)0x2d15, (q15_t)0x6d76, (q15_t)0x2d0c, (q15_t)0x6d7f, (q15_t)0x2d03,
+    (q15_t)0x6d88, (q15_t)0x2cfa, (q15_t)0x6d91, (q15_t)0x2cf1, (q15_t)0x6d9a, (q15_t)0x2ce8, (q15_t)0x6da3, (q15_t)0x2cdf,
+    (q15_t)0x6dab, (q15_t)0x2cd6, (q15_t)0x6db4, (q15_t)0x2ccd, (q15_t)0x6dbd, (q15_t)0x2cc4, (q15_t)0x6dc6, (q15_t)0x2cbb,
+    (q15_t)0x6dcf, (q15_t)0x2cb2, (q15_t)0x6dd7, (q15_t)0x2ca9, (q15_t)0x6de0, (q15_t)0x2ca0, (q15_t)0x6de9, (q15_t)0x2c97,
+    (q15_t)0x6df2, (q15_t)0x2c8e, (q15_t)0x6dfa, (q15_t)0x2c85, (q15_t)0x6e03, (q15_t)0x2c7c, (q15_t)0x6e0c, (q15_t)0x2c73,
+    (q15_t)0x6e15, (q15_t)0x2c6a, (q15_t)0x6e1d, (q15_t)0x2c61, (q15_t)0x6e26, (q15_t)0x2c58, (q15_t)0x6e2f, (q15_t)0x2c4f,
+    (q15_t)0x6e37, (q15_t)0x2c46, (q15_t)0x6e40, (q15_t)0x2c3d, (q15_t)0x6e49, (q15_t)0x2c34, (q15_t)0x6e51, (q15_t)0x2c2b,
+    (q15_t)0x6e5a, (q15_t)0x2c21, (q15_t)0x6e63, (q15_t)0x2c18, (q15_t)0x6e6b, (q15_t)0x2c0f, (q15_t)0x6e74, (q15_t)0x2c06,
+    (q15_t)0x6e7d, (q15_t)0x2bfd, (q15_t)0x6e85, (q15_t)0x2bf4, (q15_t)0x6e8e, (q15_t)0x2beb, (q15_t)0x6e97, (q15_t)0x2be2,
+    (q15_t)0x6e9f, (q15_t)0x2bd8, (q15_t)0x6ea8, (q15_t)0x2bcf, (q15_t)0x6eb0, (q15_t)0x2bc6, (q15_t)0x6eb9, (q15_t)0x2bbd,
+    (q15_t)0x6ec2, (q15_t)0x2bb4, (q15_t)0x6eca, (q15_t)0x2bab, (q15_t)0x6ed3, (q15_t)0x2ba1, (q15_t)0x6edb, (q15_t)0x2b98,
+    (q15_t)0x6ee4, (q15_t)0x2b8f, (q15_t)0x6eec, (q15_t)0x2b86, (q15_t)0x6ef5, (q15_t)0x2b7d, (q15_t)0x6efd, (q15_t)0x2b73,
+    (q15_t)0x6f06, (q15_t)0x2b6a, (q15_t)0x6f0e, (q15_t)0x2b61, (q15_t)0x6f17, (q15_t)0x2b58, (q15_t)0x6f20, (q15_t)0x2b4e,
+    (q15_t)0x6f28, (q15_t)0x2b45, (q15_t)0x6f30, (q15_t)0x2b3c, (q15_t)0x6f39, (q15_t)0x2b33, (q15_t)0x6f41, (q15_t)0x2b29,
+    (q15_t)0x6f4a, (q15_t)0x2b20, (q15_t)0x6f52, (q15_t)0x2b17, (q15_t)0x6f5b, (q15_t)0x2b0d, (q15_t)0x6f63, (q15_t)0x2b04,
+    (q15_t)0x6f6c, (q15_t)0x2afb, (q15_t)0x6f74, (q15_t)0x2af2, (q15_t)0x6f7d, (q15_t)0x2ae8, (q15_t)0x6f85, (q15_t)0x2adf,
+    (q15_t)0x6f8d, (q15_t)0x2ad6, (q15_t)0x6f96, (q15_t)0x2acc, (q15_t)0x6f9e, (q15_t)0x2ac3, (q15_t)0x6fa7, (q15_t)0x2ab9,
+    (q15_t)0x6faf, (q15_t)0x2ab0, (q15_t)0x6fb7, (q15_t)0x2aa7, (q15_t)0x6fc0, (q15_t)0x2a9d, (q15_t)0x6fc8, (q15_t)0x2a94,
+    (q15_t)0x6fd0, (q15_t)0x2a8b, (q15_t)0x6fd9, (q15_t)0x2a81, (q15_t)0x6fe1, (q15_t)0x2a78, (q15_t)0x6fea, (q15_t)0x2a6e,
+    (q15_t)0x6ff2, (q15_t)0x2a65, (q15_t)0x6ffa, (q15_t)0x2a5c, (q15_t)0x7002, (q15_t)0x2a52, (q15_t)0x700b, (q15_t)0x2a49,
+    (q15_t)0x7013, (q15_t)0x2a3f, (q15_t)0x701b, (q15_t)0x2a36, (q15_t)0x7024, (q15_t)0x2a2c, (q15_t)0x702c, (q15_t)0x2a23,
+    (q15_t)0x7034, (q15_t)0x2a1a, (q15_t)0x703c, (q15_t)0x2a10, (q15_t)0x7045, (q15_t)0x2a07, (q15_t)0x704d, (q15_t)0x29fd,
+    (q15_t)0x7055, (q15_t)0x29f4, (q15_t)0x705d, (q15_t)0x29ea, (q15_t)0x7066, (q15_t)0x29e1, (q15_t)0x706e, (q15_t)0x29d7,
+    (q15_t)0x7076, (q15_t)0x29ce, (q15_t)0x707e, (q15_t)0x29c4, (q15_t)0x7087, (q15_t)0x29bb, (q15_t)0x708f, (q15_t)0x29b1,
+    (q15_t)0x7097, (q15_t)0x29a7, (q15_t)0x709f, (q15_t)0x299e, (q15_t)0x70a7, (q15_t)0x2994, (q15_t)0x70af, (q15_t)0x298b,
+    (q15_t)0x70b8, (q15_t)0x2981, (q15_t)0x70c0, (q15_t)0x2978, (q15_t)0x70c8, (q15_t)0x296e, (q15_t)0x70d0, (q15_t)0x2965,
+    (q15_t)0x70d8, (q15_t)0x295b, (q15_t)0x70e0, (q15_t)0x2951, (q15_t)0x70e8, (q15_t)0x2948, (q15_t)0x70f0, (q15_t)0x293e,
+    (q15_t)0x70f9, (q15_t)0x2935, (q15_t)0x7101, (q15_t)0x292b, (q15_t)0x7109, (q15_t)0x2921, (q15_t)0x7111, (q15_t)0x2918,
+    (q15_t)0x7119, (q15_t)0x290e, (q15_t)0x7121, (q15_t)0x2904, (q15_t)0x7129, (q15_t)0x28fb, (q15_t)0x7131, (q15_t)0x28f1,
+    (q15_t)0x7139, (q15_t)0x28e7, (q15_t)0x7141, (q15_t)0x28de, (q15_t)0x7149, (q15_t)0x28d4, (q15_t)0x7151, (q15_t)0x28ca,
+    (q15_t)0x7159, (q15_t)0x28c1, (q15_t)0x7161, (q15_t)0x28b7, (q15_t)0x7169, (q15_t)0x28ad, (q15_t)0x7171, (q15_t)0x28a4,
+    (q15_t)0x7179, (q15_t)0x289a, (q15_t)0x7181, (q15_t)0x2890, (q15_t)0x7189, (q15_t)0x2886, (q15_t)0x7191, (q15_t)0x287d,
+    (q15_t)0x7199, (q15_t)0x2873, (q15_t)0x71a1, (q15_t)0x2869, (q15_t)0x71a9, (q15_t)0x2860, (q15_t)0x71b1, (q15_t)0x2856,
+    (q15_t)0x71b9, (q15_t)0x284c, (q15_t)0x71c0, (q15_t)0x2842, (q15_t)0x71c8, (q15_t)0x2838, (q15_t)0x71d0, (q15_t)0x282f,
+    (q15_t)0x71d8, (q15_t)0x2825, (q15_t)0x71e0, (q15_t)0x281b, (q15_t)0x71e8, (q15_t)0x2811, (q15_t)0x71f0, (q15_t)0x2808,
+    (q15_t)0x71f8, (q15_t)0x27fe, (q15_t)0x71ff, (q15_t)0x27f4, (q15_t)0x7207, (q15_t)0x27ea, (q15_t)0x720f, (q15_t)0x27e0,
+    (q15_t)0x7217, (q15_t)0x27d6, (q15_t)0x721f, (q15_t)0x27cd, (q15_t)0x7227, (q15_t)0x27c3, (q15_t)0x722e, (q15_t)0x27b9,
+    (q15_t)0x7236, (q15_t)0x27af, (q15_t)0x723e, (q15_t)0x27a5, (q15_t)0x7246, (q15_t)0x279b, (q15_t)0x724e, (q15_t)0x2791,
+    (q15_t)0x7255, (q15_t)0x2788, (q15_t)0x725d, (q15_t)0x277e, (q15_t)0x7265, (q15_t)0x2774, (q15_t)0x726d, (q15_t)0x276a,
+    (q15_t)0x7274, (q15_t)0x2760, (q15_t)0x727c, (q15_t)0x2756, (q15_t)0x7284, (q15_t)0x274c, (q15_t)0x728b, (q15_t)0x2742,
+    (q15_t)0x7293, (q15_t)0x2738, (q15_t)0x729b, (q15_t)0x272e, (q15_t)0x72a3, (q15_t)0x2724, (q15_t)0x72aa, (q15_t)0x271a,
+    (q15_t)0x72b2, (q15_t)0x2711, (q15_t)0x72ba, (q15_t)0x2707, (q15_t)0x72c1, (q15_t)0x26fd, (q15_t)0x72c9, (q15_t)0x26f3,
+    (q15_t)0x72d0, (q15_t)0x26e9, (q15_t)0x72d8, (q15_t)0x26df, (q15_t)0x72e0, (q15_t)0x26d5, (q15_t)0x72e7, (q15_t)0x26cb,
+    (q15_t)0x72ef, (q15_t)0x26c1, (q15_t)0x72f7, (q15_t)0x26b7, (q15_t)0x72fe, (q15_t)0x26ad, (q15_t)0x7306, (q15_t)0x26a3,
+    (q15_t)0x730d, (q15_t)0x2699, (q15_t)0x7315, (q15_t)0x268f, (q15_t)0x731d, (q15_t)0x2685, (q15_t)0x7324, (q15_t)0x267b,
+    (q15_t)0x732c, (q15_t)0x2671, (q15_t)0x7333, (q15_t)0x2666, (q15_t)0x733b, (q15_t)0x265c, (q15_t)0x7342, (q15_t)0x2652,
+    (q15_t)0x734a, (q15_t)0x2648, (q15_t)0x7351, (q15_t)0x263e, (q15_t)0x7359, (q15_t)0x2634, (q15_t)0x7360, (q15_t)0x262a,
+    (q15_t)0x7368, (q15_t)0x2620, (q15_t)0x736f, (q15_t)0x2616, (q15_t)0x7377, (q15_t)0x260c, (q15_t)0x737e, (q15_t)0x2602,
+    (q15_t)0x7386, (q15_t)0x25f8, (q15_t)0x738d, (q15_t)0x25ed, (q15_t)0x7395, (q15_t)0x25e3, (q15_t)0x739c, (q15_t)0x25d9,
+    (q15_t)0x73a3, (q15_t)0x25cf, (q15_t)0x73ab, (q15_t)0x25c5, (q15_t)0x73b2, (q15_t)0x25bb, (q15_t)0x73ba, (q15_t)0x25b1,
+    (q15_t)0x73c1, (q15_t)0x25a6, (q15_t)0x73c8, (q15_t)0x259c, (q15_t)0x73d0, (q15_t)0x2592, (q15_t)0x73d7, (q15_t)0x2588,
+    (q15_t)0x73df, (q15_t)0x257e, (q15_t)0x73e6, (q15_t)0x2574, (q15_t)0x73ed, (q15_t)0x2569, (q15_t)0x73f5, (q15_t)0x255f,
+    (q15_t)0x73fc, (q15_t)0x2555, (q15_t)0x7403, (q15_t)0x254b, (q15_t)0x740b, (q15_t)0x2541, (q15_t)0x7412, (q15_t)0x2536,
+    (q15_t)0x7419, (q15_t)0x252c, (q15_t)0x7420, (q15_t)0x2522, (q15_t)0x7428, (q15_t)0x2518, (q15_t)0x742f, (q15_t)0x250d,
+    (q15_t)0x7436, (q15_t)0x2503, (q15_t)0x743e, (q15_t)0x24f9, (q15_t)0x7445, (q15_t)0x24ef, (q15_t)0x744c, (q15_t)0x24e4,
+    (q15_t)0x7453, (q15_t)0x24da, (q15_t)0x745b, (q15_t)0x24d0, (q15_t)0x7462, (q15_t)0x24c5, (q15_t)0x7469, (q15_t)0x24bb,
+    (q15_t)0x7470, (q15_t)0x24b1, (q15_t)0x7477, (q15_t)0x24a7, (q15_t)0x747f, (q15_t)0x249c, (q15_t)0x7486, (q15_t)0x2492,
+    (q15_t)0x748d, (q15_t)0x2488, (q15_t)0x7494, (q15_t)0x247d, (q15_t)0x749b, (q15_t)0x2473, (q15_t)0x74a2, (q15_t)0x2469,
+    (q15_t)0x74aa, (q15_t)0x245e, (q15_t)0x74b1, (q15_t)0x2454, (q15_t)0x74b8, (q15_t)0x244a, (q15_t)0x74bf, (q15_t)0x243f,
+    (q15_t)0x74c6, (q15_t)0x2435, (q15_t)0x74cd, (q15_t)0x242b, (q15_t)0x74d4, (q15_t)0x2420, (q15_t)0x74db, (q15_t)0x2416,
+    (q15_t)0x74e2, (q15_t)0x240b, (q15_t)0x74ea, (q15_t)0x2401, (q15_t)0x74f1, (q15_t)0x23f7, (q15_t)0x74f8, (q15_t)0x23ec,
+    (q15_t)0x74ff, (q15_t)0x23e2, (q15_t)0x7506, (q15_t)0x23d7, (q15_t)0x750d, (q15_t)0x23cd, (q15_t)0x7514, (q15_t)0x23c3,
+    (q15_t)0x751b, (q15_t)0x23b8, (q15_t)0x7522, (q15_t)0x23ae, (q15_t)0x7529, (q15_t)0x23a3, (q15_t)0x7530, (q15_t)0x2399,
+    (q15_t)0x7537, (q15_t)0x238e, (q15_t)0x753e, (q15_t)0x2384, (q15_t)0x7545, (q15_t)0x237a, (q15_t)0x754c, (q15_t)0x236f,
+    (q15_t)0x7553, (q15_t)0x2365, (q15_t)0x755a, (q15_t)0x235a, (q15_t)0x7561, (q15_t)0x2350, (q15_t)0x7567, (q15_t)0x2345,
+    (q15_t)0x756e, (q15_t)0x233b, (q15_t)0x7575, (q15_t)0x2330, (q15_t)0x757c, (q15_t)0x2326, (q15_t)0x7583, (q15_t)0x231b,
+    (q15_t)0x758a, (q15_t)0x2311, (q15_t)0x7591, (q15_t)0x2306, (q15_t)0x7598, (q15_t)0x22fc, (q15_t)0x759f, (q15_t)0x22f1,
+    (q15_t)0x75a5, (q15_t)0x22e7, (q15_t)0x75ac, (q15_t)0x22dc, (q15_t)0x75b3, (q15_t)0x22d2, (q15_t)0x75ba, (q15_t)0x22c7,
+    (q15_t)0x75c1, (q15_t)0x22bc, (q15_t)0x75c8, (q15_t)0x22b2, (q15_t)0x75ce, (q15_t)0x22a7, (q15_t)0x75d5, (q15_t)0x229d,
+    (q15_t)0x75dc, (q15_t)0x2292, (q15_t)0x75e3, (q15_t)0x2288, (q15_t)0x75ea, (q15_t)0x227d, (q15_t)0x75f0, (q15_t)0x2272,
+    (q15_t)0x75f7, (q15_t)0x2268, (q15_t)0x75fe, (q15_t)0x225d, (q15_t)0x7605, (q15_t)0x2253, (q15_t)0x760b, (q15_t)0x2248,
+    (q15_t)0x7612, (q15_t)0x223d, (q15_t)0x7619, (q15_t)0x2233, (q15_t)0x7620, (q15_t)0x2228, (q15_t)0x7626, (q15_t)0x221e,
+    (q15_t)0x762d, (q15_t)0x2213, (q15_t)0x7634, (q15_t)0x2208, (q15_t)0x763a, (q15_t)0x21fe, (q15_t)0x7641, (q15_t)0x21f3,
+    (q15_t)0x7648, (q15_t)0x21e8, (q15_t)0x764e, (q15_t)0x21de, (q15_t)0x7655, (q15_t)0x21d3, (q15_t)0x765c, (q15_t)0x21c8,
+    (q15_t)0x7662, (q15_t)0x21be, (q15_t)0x7669, (q15_t)0x21b3, (q15_t)0x766f, (q15_t)0x21a8, (q15_t)0x7676, (q15_t)0x219e,
+    (q15_t)0x767d, (q15_t)0x2193, (q15_t)0x7683, (q15_t)0x2188, (q15_t)0x768a, (q15_t)0x217d, (q15_t)0x7690, (q15_t)0x2173,
+    (q15_t)0x7697, (q15_t)0x2168, (q15_t)0x769d, (q15_t)0x215d, (q15_t)0x76a4, (q15_t)0x2153, (q15_t)0x76ab, (q15_t)0x2148,
+    (q15_t)0x76b1, (q15_t)0x213d, (q15_t)0x76b8, (q15_t)0x2132, (q15_t)0x76be, (q15_t)0x2128, (q15_t)0x76c5, (q15_t)0x211d,
+    (q15_t)0x76cb, (q15_t)0x2112, (q15_t)0x76d2, (q15_t)0x2107, (q15_t)0x76d8, (q15_t)0x20fd, (q15_t)0x76df, (q15_t)0x20f2,
+    (q15_t)0x76e5, (q15_t)0x20e7, (q15_t)0x76eb, (q15_t)0x20dc, (q15_t)0x76f2, (q15_t)0x20d1, (q15_t)0x76f8, (q15_t)0x20c7,
+    (q15_t)0x76ff, (q15_t)0x20bc, (q15_t)0x7705, (q15_t)0x20b1, (q15_t)0x770c, (q15_t)0x20a6, (q15_t)0x7712, (q15_t)0x209b,
+    (q15_t)0x7718, (q15_t)0x2091, (q15_t)0x771f, (q15_t)0x2086, (q15_t)0x7725, (q15_t)0x207b, (q15_t)0x772c, (q15_t)0x2070,
+    (q15_t)0x7732, (q15_t)0x2065, (q15_t)0x7738, (q15_t)0x205b, (q15_t)0x773f, (q15_t)0x2050, (q15_t)0x7745, (q15_t)0x2045,
+    (q15_t)0x774b, (q15_t)0x203a, (q15_t)0x7752, (q15_t)0x202f, (q15_t)0x7758, (q15_t)0x2024, (q15_t)0x775e, (q15_t)0x2019,
+    (q15_t)0x7765, (q15_t)0x200f, (q15_t)0x776b, (q15_t)0x2004, (q15_t)0x7771, (q15_t)0x1ff9, (q15_t)0x7777, (q15_t)0x1fee,
+    (q15_t)0x777e, (q15_t)0x1fe3, (q15_t)0x7784, (q15_t)0x1fd8, (q15_t)0x778a, (q15_t)0x1fcd, (q15_t)0x7790, (q15_t)0x1fc2,
+    (q15_t)0x7797, (q15_t)0x1fb7, (q15_t)0x779d, (q15_t)0x1fac, (q15_t)0x77a3, (q15_t)0x1fa2, (q15_t)0x77a9, (q15_t)0x1f97,
+    (q15_t)0x77b0, (q15_t)0x1f8c, (q15_t)0x77b6, (q15_t)0x1f81, (q15_t)0x77bc, (q15_t)0x1f76, (q15_t)0x77c2, (q15_t)0x1f6b,
+    (q15_t)0x77c8, (q15_t)0x1f60, (q15_t)0x77ce, (q15_t)0x1f55, (q15_t)0x77d5, (q15_t)0x1f4a, (q15_t)0x77db, (q15_t)0x1f3f,
+    (q15_t)0x77e1, (q15_t)0x1f34, (q15_t)0x77e7, (q15_t)0x1f29, (q15_t)0x77ed, (q15_t)0x1f1e, (q15_t)0x77f3, (q15_t)0x1f13,
+    (q15_t)0x77f9, (q15_t)0x1f08, (q15_t)0x77ff, (q15_t)0x1efd, (q15_t)0x7805, (q15_t)0x1ef2, (q15_t)0x780b, (q15_t)0x1ee7,
+    (q15_t)0x7812, (q15_t)0x1edc, (q15_t)0x7818, (q15_t)0x1ed1, (q15_t)0x781e, (q15_t)0x1ec6, (q15_t)0x7824, (q15_t)0x1ebb,
+    (q15_t)0x782a, (q15_t)0x1eb0, (q15_t)0x7830, (q15_t)0x1ea5, (q15_t)0x7836, (q15_t)0x1e9a, (q15_t)0x783c, (q15_t)0x1e8f,
+    (q15_t)0x7842, (q15_t)0x1e84, (q15_t)0x7848, (q15_t)0x1e79, (q15_t)0x784e, (q15_t)0x1e6e, (q15_t)0x7854, (q15_t)0x1e63,
+    (q15_t)0x785a, (q15_t)0x1e58, (q15_t)0x7860, (q15_t)0x1e4d, (q15_t)0x7866, (q15_t)0x1e42, (q15_t)0x786b, (q15_t)0x1e36,
+    (q15_t)0x7871, (q15_t)0x1e2b, (q15_t)0x7877, (q15_t)0x1e20, (q15_t)0x787d, (q15_t)0x1e15, (q15_t)0x7883, (q15_t)0x1e0a,
+    (q15_t)0x7889, (q15_t)0x1dff, (q15_t)0x788f, (q15_t)0x1df4, (q15_t)0x7895, (q15_t)0x1de9, (q15_t)0x789b, (q15_t)0x1dde,
+    (q15_t)0x78a1, (q15_t)0x1dd3, (q15_t)0x78a6, (q15_t)0x1dc7, (q15_t)0x78ac, (q15_t)0x1dbc, (q15_t)0x78b2, (q15_t)0x1db1,
+    (q15_t)0x78b8, (q15_t)0x1da6, (q15_t)0x78be, (q15_t)0x1d9b, (q15_t)0x78c3, (q15_t)0x1d90, (q15_t)0x78c9, (q15_t)0x1d85,
+    (q15_t)0x78cf, (q15_t)0x1d79, (q15_t)0x78d5, (q15_t)0x1d6e, (q15_t)0x78db, (q15_t)0x1d63, (q15_t)0x78e0, (q15_t)0x1d58,
+    (q15_t)0x78e6, (q15_t)0x1d4d, (q15_t)0x78ec, (q15_t)0x1d42, (q15_t)0x78f2, (q15_t)0x1d36, (q15_t)0x78f7, (q15_t)0x1d2b,
+    (q15_t)0x78fd, (q15_t)0x1d20, (q15_t)0x7903, (q15_t)0x1d15, (q15_t)0x7909, (q15_t)0x1d0a, (q15_t)0x790e, (q15_t)0x1cff,
+    (q15_t)0x7914, (q15_t)0x1cf3, (q15_t)0x791a, (q15_t)0x1ce8, (q15_t)0x791f, (q15_t)0x1cdd, (q15_t)0x7925, (q15_t)0x1cd2,
+    (q15_t)0x792b, (q15_t)0x1cc6, (q15_t)0x7930, (q15_t)0x1cbb, (q15_t)0x7936, (q15_t)0x1cb0, (q15_t)0x793b, (q15_t)0x1ca5,
+    (q15_t)0x7941, (q15_t)0x1c99, (q15_t)0x7947, (q15_t)0x1c8e, (q15_t)0x794c, (q15_t)0x1c83, (q15_t)0x7952, (q15_t)0x1c78,
+    (q15_t)0x7958, (q15_t)0x1c6c, (q15_t)0x795d, (q15_t)0x1c61, (q15_t)0x7963, (q15_t)0x1c56, (q15_t)0x7968, (q15_t)0x1c4b,
+    (q15_t)0x796e, (q15_t)0x1c3f, (q15_t)0x7973, (q15_t)0x1c34, (q15_t)0x7979, (q15_t)0x1c29, (q15_t)0x797e, (q15_t)0x1c1e,
+    (q15_t)0x7984, (q15_t)0x1c12, (q15_t)0x7989, (q15_t)0x1c07, (q15_t)0x798f, (q15_t)0x1bfc, (q15_t)0x7994, (q15_t)0x1bf0,
+    (q15_t)0x799a, (q15_t)0x1be5, (q15_t)0x799f, (q15_t)0x1bda, (q15_t)0x79a5, (q15_t)0x1bce, (q15_t)0x79aa, (q15_t)0x1bc3,
+    (q15_t)0x79b0, (q15_t)0x1bb8, (q15_t)0x79b5, (q15_t)0x1bac, (q15_t)0x79bb, (q15_t)0x1ba1, (q15_t)0x79c0, (q15_t)0x1b96,
+    (q15_t)0x79c5, (q15_t)0x1b8a, (q15_t)0x79cb, (q15_t)0x1b7f, (q15_t)0x79d0, (q15_t)0x1b74, (q15_t)0x79d6, (q15_t)0x1b68,
+    (q15_t)0x79db, (q15_t)0x1b5d, (q15_t)0x79e0, (q15_t)0x1b52, (q15_t)0x79e6, (q15_t)0x1b46, (q15_t)0x79eb, (q15_t)0x1b3b,
+    (q15_t)0x79f0, (q15_t)0x1b30, (q15_t)0x79f6, (q15_t)0x1b24, (q15_t)0x79fb, (q15_t)0x1b19, (q15_t)0x7a00, (q15_t)0x1b0d,
+    (q15_t)0x7a06, (q15_t)0x1b02, (q15_t)0x7a0b, (q15_t)0x1af7, (q15_t)0x7a10, (q15_t)0x1aeb, (q15_t)0x7a16, (q15_t)0x1ae0,
+    (q15_t)0x7a1b, (q15_t)0x1ad4, (q15_t)0x7a20, (q15_t)0x1ac9, (q15_t)0x7a25, (q15_t)0x1abe, (q15_t)0x7a2b, (q15_t)0x1ab2,
+    (q15_t)0x7a30, (q15_t)0x1aa7, (q15_t)0x7a35, (q15_t)0x1a9b, (q15_t)0x7a3a, (q15_t)0x1a90, (q15_t)0x7a3f, (q15_t)0x1a84,
+    (q15_t)0x7a45, (q15_t)0x1a79, (q15_t)0x7a4a, (q15_t)0x1a6e, (q15_t)0x7a4f, (q15_t)0x1a62, (q15_t)0x7a54, (q15_t)0x1a57,
+    (q15_t)0x7a59, (q15_t)0x1a4b, (q15_t)0x7a5f, (q15_t)0x1a40, (q15_t)0x7a64, (q15_t)0x1a34, (q15_t)0x7a69, (q15_t)0x1a29,
+    (q15_t)0x7a6e, (q15_t)0x1a1d, (q15_t)0x7a73, (q15_t)0x1a12, (q15_t)0x7a78, (q15_t)0x1a06, (q15_t)0x7a7d, (q15_t)0x19fb,
+    (q15_t)0x7a82, (q15_t)0x19ef, (q15_t)0x7a88, (q15_t)0x19e4, (q15_t)0x7a8d, (q15_t)0x19d8, (q15_t)0x7a92, (q15_t)0x19cd,
+    (q15_t)0x7a97, (q15_t)0x19c1, (q15_t)0x7a9c, (q15_t)0x19b6, (q15_t)0x7aa1, (q15_t)0x19aa, (q15_t)0x7aa6, (q15_t)0x199f,
+    (q15_t)0x7aab, (q15_t)0x1993, (q15_t)0x7ab0, (q15_t)0x1988, (q15_t)0x7ab5, (q15_t)0x197c, (q15_t)0x7aba, (q15_t)0x1971,
+    (q15_t)0x7abf, (q15_t)0x1965, (q15_t)0x7ac4, (q15_t)0x195a, (q15_t)0x7ac9, (q15_t)0x194e, (q15_t)0x7ace, (q15_t)0x1943,
+    (q15_t)0x7ad3, (q15_t)0x1937, (q15_t)0x7ad8, (q15_t)0x192c, (q15_t)0x7add, (q15_t)0x1920, (q15_t)0x7ae2, (q15_t)0x1914,
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+    (q15_t)0x7afa, (q15_t)0x18db, (q15_t)0x7aff, (q15_t)0x18cf, (q15_t)0x7b04, (q15_t)0x18c3, (q15_t)0x7b09, (q15_t)0x18b8,
+    (q15_t)0x7b0e, (q15_t)0x18ac, (q15_t)0x7b12, (q15_t)0x18a1, (q15_t)0x7b17, (q15_t)0x1895, (q15_t)0x7b1c, (q15_t)0x1889,
+    (q15_t)0x7b21, (q15_t)0x187e, (q15_t)0x7b26, (q15_t)0x1872, (q15_t)0x7b2a, (q15_t)0x1867, (q15_t)0x7b2f, (q15_t)0x185b,
+    (q15_t)0x7b34, (q15_t)0x184f, (q15_t)0x7b39, (q15_t)0x1844, (q15_t)0x7b3e, (q15_t)0x1838, (q15_t)0x7b42, (q15_t)0x182d,
+    (q15_t)0x7b47, (q15_t)0x1821, (q15_t)0x7b4c, (q15_t)0x1815, (q15_t)0x7b50, (q15_t)0x180a, (q15_t)0x7b55, (q15_t)0x17fe,
+    (q15_t)0x7b5a, (q15_t)0x17f2, (q15_t)0x7b5f, (q15_t)0x17e7, (q15_t)0x7b63, (q15_t)0x17db, (q15_t)0x7b68, (q15_t)0x17cf,
+    (q15_t)0x7b6d, (q15_t)0x17c4, (q15_t)0x7b71, (q15_t)0x17b8, (q15_t)0x7b76, (q15_t)0x17ac, (q15_t)0x7b7b, (q15_t)0x17a1,
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+    (q15_t)0x7bec, (q15_t)0x167c, (q15_t)0x7bf0, (q15_t)0x1670, (q15_t)0x7bf5, (q15_t)0x1664, (q15_t)0x7bf9, (q15_t)0x1658,
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+    (q15_t)0x7e50, (q15_t)0xe99, (q15_t)0x7e53, (q15_t)0xe8c, (q15_t)0x7e56, (q15_t)0xe80, (q15_t)0x7e59, (q15_t)0xe74,
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+    (q15_t)0x7ee2, (q15_t)0xbe8, (q15_t)0x7ee4, (q15_t)0xbdc, (q15_t)0x7ee7, (q15_t)0xbd0, (q15_t)0x7ee9, (q15_t)0xbc3,
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+    (q15_t)0x7efd, (q15_t)0xb54, (q15_t)0x7f00, (q15_t)0xb48, (q15_t)0x7f02, (q15_t)0xb3b, (q15_t)0x7f04, (q15_t)0xb2f,
+    (q15_t)0x7f06, (q15_t)0xb23, (q15_t)0x7f08, (q15_t)0xb16, (q15_t)0x7f0a, (q15_t)0xb0a, (q15_t)0x7f0d, (q15_t)0xafd,
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+    (q15_t)0x7f20, (q15_t)0xa8e, (q15_t)0x7f22, (q15_t)0xa82, (q15_t)0x7f24, (q15_t)0xa75, (q15_t)0x7f26, (q15_t)0xa69,
+    (q15_t)0x7f28, (q15_t)0xa5c, (q15_t)0x7f2a, (q15_t)0xa50, (q15_t)0x7f2c, (q15_t)0xa44, (q15_t)0x7f2e, (q15_t)0xa37,
+    (q15_t)0x7f30, (q15_t)0xa2b, (q15_t)0x7f32, (q15_t)0xa1e, (q15_t)0x7f34, (q15_t)0xa12, (q15_t)0x7f36, (q15_t)0xa06,
+    (q15_t)0x7f38, (q15_t)0x9f9, (q15_t)0x7f3a, (q15_t)0x9ed, (q15_t)0x7f3c, (q15_t)0x9e0, (q15_t)0x7f3e, (q15_t)0x9d4,
+    (q15_t)0x7f40, (q15_t)0x9c7, (q15_t)0x7f42, (q15_t)0x9bb, (q15_t)0x7f43, (q15_t)0x9af, (q15_t)0x7f45, (q15_t)0x9a2,
+    (q15_t)0x7f47, (q15_t)0x996, (q15_t)0x7f49, (q15_t)0x989, (q15_t)0x7f4b, (q15_t)0x97d, (q15_t)0x7f4d, (q15_t)0x970,
+    (q15_t)0x7f4f, (q15_t)0x964, (q15_t)0x7f51, (q15_t)0x958, (q15_t)0x7f52, (q15_t)0x94b, (q15_t)0x7f54, (q15_t)0x93f,
+    (q15_t)0x7f56, (q15_t)0x932, (q15_t)0x7f58, (q15_t)0x926, (q15_t)0x7f5a, (q15_t)0x919, (q15_t)0x7f5b, (q15_t)0x90d,
+    (q15_t)0x7f5d, (q15_t)0x901, (q15_t)0x7f5f, (q15_t)0x8f4, (q15_t)0x7f61, (q15_t)0x8e8, (q15_t)0x7f62, (q15_t)0x8db,
+    (q15_t)0x7f64, (q15_t)0x8cf, (q15_t)0x7f66, (q15_t)0x8c2, (q15_t)0x7f68, (q15_t)0x8b6, (q15_t)0x7f69, (q15_t)0x8a9,
+    (q15_t)0x7f6b, (q15_t)0x89d, (q15_t)0x7f6d, (q15_t)0x891, (q15_t)0x7f6e, (q15_t)0x884, (q15_t)0x7f70, (q15_t)0x878,
+    (q15_t)0x7f72, (q15_t)0x86b, (q15_t)0x7f73, (q15_t)0x85f, (q15_t)0x7f75, (q15_t)0x852, (q15_t)0x7f77, (q15_t)0x846,
+    (q15_t)0x7f78, (q15_t)0x839, (q15_t)0x7f7a, (q15_t)0x82d, (q15_t)0x7f7b, (q15_t)0x820, (q15_t)0x7f7d, (q15_t)0x814,
+    (q15_t)0x7f7f, (q15_t)0x807, (q15_t)0x7f80, (q15_t)0x7fb, (q15_t)0x7f82, (q15_t)0x7ef, (q15_t)0x7f83, (q15_t)0x7e2,
+    (q15_t)0x7f85, (q15_t)0x7d6, (q15_t)0x7f86, (q15_t)0x7c9, (q15_t)0x7f88, (q15_t)0x7bd, (q15_t)0x7f89, (q15_t)0x7b0,
+    (q15_t)0x7f8b, (q15_t)0x7a4, (q15_t)0x7f8c, (q15_t)0x797, (q15_t)0x7f8e, (q15_t)0x78b, (q15_t)0x7f8f, (q15_t)0x77e,
+    (q15_t)0x7f91, (q15_t)0x772, (q15_t)0x7f92, (q15_t)0x765, (q15_t)0x7f94, (q15_t)0x759, (q15_t)0x7f95, (q15_t)0x74c,
+    (q15_t)0x7f97, (q15_t)0x740, (q15_t)0x7f98, (q15_t)0x733, (q15_t)0x7f99, (q15_t)0x727, (q15_t)0x7f9b, (q15_t)0x71a,
+    (q15_t)0x7f9c, (q15_t)0x70e, (q15_t)0x7f9e, (q15_t)0x701, (q15_t)0x7f9f, (q15_t)0x6f5, (q15_t)0x7fa0, (q15_t)0x6e8,
+    (q15_t)0x7fa2, (q15_t)0x6dc, (q15_t)0x7fa3, (q15_t)0x6cf, (q15_t)0x7fa4, (q15_t)0x6c3, (q15_t)0x7fa6, (q15_t)0x6b6,
+    (q15_t)0x7fa7, (q15_t)0x6aa, (q15_t)0x7fa8, (q15_t)0x69d, (q15_t)0x7faa, (q15_t)0x691, (q15_t)0x7fab, (q15_t)0x684,
+    (q15_t)0x7fac, (q15_t)0x678, (q15_t)0x7fad, (q15_t)0x66b, (q15_t)0x7faf, (q15_t)0x65f, (q15_t)0x7fb0, (q15_t)0x652,
+    (q15_t)0x7fb1, (q15_t)0x646, (q15_t)0x7fb2, (q15_t)0x639, (q15_t)0x7fb4, (q15_t)0x62d, (q15_t)0x7fb5, (q15_t)0x620,
+    (q15_t)0x7fb6, (q15_t)0x614, (q15_t)0x7fb7, (q15_t)0x607, (q15_t)0x7fb8, (q15_t)0x5fb, (q15_t)0x7fb9, (q15_t)0x5ee,
+    (q15_t)0x7fbb, (q15_t)0x5e2, (q15_t)0x7fbc, (q15_t)0x5d5, (q15_t)0x7fbd, (q15_t)0x5c9, (q15_t)0x7fbe, (q15_t)0x5bc,
+    (q15_t)0x7fbf, (q15_t)0x5b0, (q15_t)0x7fc0, (q15_t)0x5a3, (q15_t)0x7fc1, (q15_t)0x597, (q15_t)0x7fc3, (q15_t)0x58a,
+    (q15_t)0x7fc4, (q15_t)0x57e, (q15_t)0x7fc5, (q15_t)0x571, (q15_t)0x7fc6, (q15_t)0x565, (q15_t)0x7fc7, (q15_t)0x558,
+    (q15_t)0x7fc8, (q15_t)0x54c, (q15_t)0x7fc9, (q15_t)0x53f, (q15_t)0x7fca, (q15_t)0x533, (q15_t)0x7fcb, (q15_t)0x526,
+    (q15_t)0x7fcc, (q15_t)0x51a, (q15_t)0x7fcd, (q15_t)0x50d, (q15_t)0x7fce, (q15_t)0x500, (q15_t)0x7fcf, (q15_t)0x4f4,
+    (q15_t)0x7fd0, (q15_t)0x4e7, (q15_t)0x7fd1, (q15_t)0x4db, (q15_t)0x7fd2, (q15_t)0x4ce, (q15_t)0x7fd3, (q15_t)0x4c2,
+    (q15_t)0x7fd4, (q15_t)0x4b5, (q15_t)0x7fd5, (q15_t)0x4a9, (q15_t)0x7fd5, (q15_t)0x49c, (q15_t)0x7fd6, (q15_t)0x490,
+    (q15_t)0x7fd7, (q15_t)0x483, (q15_t)0x7fd8, (q15_t)0x477, (q15_t)0x7fd9, (q15_t)0x46a, (q15_t)0x7fda, (q15_t)0x45e,
+    (q15_t)0x7fdb, (q15_t)0x451, (q15_t)0x7fdc, (q15_t)0x444, (q15_t)0x7fdc, (q15_t)0x438, (q15_t)0x7fdd, (q15_t)0x42b,
+    (q15_t)0x7fde, (q15_t)0x41f, (q15_t)0x7fdf, (q15_t)0x412, (q15_t)0x7fe0, (q15_t)0x406, (q15_t)0x7fe0, (q15_t)0x3f9,
+    (q15_t)0x7fe1, (q15_t)0x3ed, (q15_t)0x7fe2, (q15_t)0x3e0, (q15_t)0x7fe3, (q15_t)0x3d4, (q15_t)0x7fe3, (q15_t)0x3c7,
+    (q15_t)0x7fe4, (q15_t)0x3bb, (q15_t)0x7fe5, (q15_t)0x3ae, (q15_t)0x7fe6, (q15_t)0x3a1, (q15_t)0x7fe6, (q15_t)0x395,
+    (q15_t)0x7fe7, (q15_t)0x388, (q15_t)0x7fe8, (q15_t)0x37c, (q15_t)0x7fe8, (q15_t)0x36f, (q15_t)0x7fe9, (q15_t)0x363,
+    (q15_t)0x7fea, (q15_t)0x356, (q15_t)0x7fea, (q15_t)0x34a, (q15_t)0x7feb, (q15_t)0x33d, (q15_t)0x7fec, (q15_t)0x330,
+    (q15_t)0x7fec, (q15_t)0x324, (q15_t)0x7fed, (q15_t)0x317, (q15_t)0x7fed, (q15_t)0x30b, (q15_t)0x7fee, (q15_t)0x2fe,
+    (q15_t)0x7fef, (q15_t)0x2f2, (q15_t)0x7fef, (q15_t)0x2e5, (q15_t)0x7ff0, (q15_t)0x2d9, (q15_t)0x7ff0, (q15_t)0x2cc,
+    (q15_t)0x7ff1, (q15_t)0x2c0, (q15_t)0x7ff1, (q15_t)0x2b3, (q15_t)0x7ff2, (q15_t)0x2a6, (q15_t)0x7ff2, (q15_t)0x29a,
+    (q15_t)0x7ff3, (q15_t)0x28d, (q15_t)0x7ff3, (q15_t)0x281, (q15_t)0x7ff4, (q15_t)0x274, (q15_t)0x7ff4, (q15_t)0x268,
+    (q15_t)0x7ff5, (q15_t)0x25b, (q15_t)0x7ff5, (q15_t)0x24e, (q15_t)0x7ff6, (q15_t)0x242, (q15_t)0x7ff6, (q15_t)0x235,
+    (q15_t)0x7ff7, (q15_t)0x229, (q15_t)0x7ff7, (q15_t)0x21c, (q15_t)0x7ff7, (q15_t)0x210, (q15_t)0x7ff8, (q15_t)0x203,
+    (q15_t)0x7ff8, (q15_t)0x1f7, (q15_t)0x7ff9, (q15_t)0x1ea, (q15_t)0x7ff9, (q15_t)0x1dd, (q15_t)0x7ff9, (q15_t)0x1d1,
+    (q15_t)0x7ffa, (q15_t)0x1c4, (q15_t)0x7ffa, (q15_t)0x1b8, (q15_t)0x7ffa, (q15_t)0x1ab, (q15_t)0x7ffb, (q15_t)0x19f,
+    (q15_t)0x7ffb, (q15_t)0x192, (q15_t)0x7ffb, (q15_t)0x186, (q15_t)0x7ffc, (q15_t)0x179, (q15_t)0x7ffc, (q15_t)0x16c,
+    (q15_t)0x7ffc, (q15_t)0x160, (q15_t)0x7ffc, (q15_t)0x153, (q15_t)0x7ffd, (q15_t)0x147, (q15_t)0x7ffd, (q15_t)0x13a,
+    (q15_t)0x7ffd, (q15_t)0x12e, (q15_t)0x7ffd, (q15_t)0x121, (q15_t)0x7ffe, (q15_t)0x114, (q15_t)0x7ffe, (q15_t)0x108,
+    (q15_t)0x7ffe, (q15_t)0xfb, (q15_t)0x7ffe, (q15_t)0xef, (q15_t)0x7ffe, (q15_t)0xe2, (q15_t)0x7fff, (q15_t)0xd6,
+    (q15_t)0x7fff, (q15_t)0xc9, (q15_t)0x7fff, (q15_t)0xbc, (q15_t)0x7fff, (q15_t)0xb0, (q15_t)0x7fff, (q15_t)0xa3,
+    (q15_t)0x7fff, (q15_t)0x97, (q15_t)0x7fff, (q15_t)0x8a, (q15_t)0x7fff, (q15_t)0x7e, (q15_t)0x7fff, (q15_t)0x71,
+    (q15_t)0x7fff, (q15_t)0x65, (q15_t)0x7fff, (q15_t)0x58, (q15_t)0x7fff, (q15_t)0x4b, (q15_t)0x7fff, (q15_t)0x3f,
+    (q15_t)0x7fff, (q15_t)0x32, (q15_t)0x7fff, (q15_t)0x26, (q15_t)0x7fff, (q15_t)0x19, (q15_t)0x7fff, (q15_t)0xd,
+    (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xfff3, (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffda,
+    (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffc1, (q15_t)0x7fff, (q15_t)0xffb5, (q15_t)0x7fff, (q15_t)0xffa8,
+    (q15_t)0x7fff, (q15_t)0xff9b, (q15_t)0x7fff, (q15_t)0xff8f, (q15_t)0x7fff, (q15_t)0xff82, (q15_t)0x7fff, (q15_t)0xff76,
+    (q15_t)0x7fff, (q15_t)0xff69, (q15_t)0x7fff, (q15_t)0xff5d, (q15_t)0x7fff, (q15_t)0xff50, (q15_t)0x7fff, (q15_t)0xff44,
+    (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff2a, (q15_t)0x7ffe, (q15_t)0xff1e, (q15_t)0x7ffe, (q15_t)0xff11,
+    (q15_t)0x7ffe, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfef8, (q15_t)0x7ffe, (q15_t)0xfeec, (q15_t)0x7ffd, (q15_t)0xfedf,
+    (q15_t)0x7ffd, (q15_t)0xfed2, (q15_t)0x7ffd, (q15_t)0xfec6, (q15_t)0x7ffd, (q15_t)0xfeb9, (q15_t)0x7ffc, (q15_t)0xfead,
+    (q15_t)0x7ffc, (q15_t)0xfea0, (q15_t)0x7ffc, (q15_t)0xfe94, (q15_t)0x7ffc, (q15_t)0xfe87, (q15_t)0x7ffb, (q15_t)0xfe7a,
+    (q15_t)0x7ffb, (q15_t)0xfe6e, (q15_t)0x7ffb, (q15_t)0xfe61, (q15_t)0x7ffa, (q15_t)0xfe55, (q15_t)0x7ffa, (q15_t)0xfe48,
+    (q15_t)0x7ffa, (q15_t)0xfe3c, (q15_t)0x7ff9, (q15_t)0xfe2f, (q15_t)0x7ff9, (q15_t)0xfe23, (q15_t)0x7ff9, (q15_t)0xfe16,
+    (q15_t)0x7ff8, (q15_t)0xfe09, (q15_t)0x7ff8, (q15_t)0xfdfd, (q15_t)0x7ff7, (q15_t)0xfdf0, (q15_t)0x7ff7, (q15_t)0xfde4,
+    (q15_t)0x7ff7, (q15_t)0xfdd7, (q15_t)0x7ff6, (q15_t)0xfdcb, (q15_t)0x7ff6, (q15_t)0xfdbe, (q15_t)0x7ff5, (q15_t)0xfdb2,
+    (q15_t)0x7ff5, (q15_t)0xfda5, (q15_t)0x7ff4, (q15_t)0xfd98, (q15_t)0x7ff4, (q15_t)0xfd8c, (q15_t)0x7ff3, (q15_t)0xfd7f,
+    (q15_t)0x7ff3, (q15_t)0xfd73, (q15_t)0x7ff2, (q15_t)0xfd66, (q15_t)0x7ff2, (q15_t)0xfd5a, (q15_t)0x7ff1, (q15_t)0xfd4d,
+    (q15_t)0x7ff1, (q15_t)0xfd40, (q15_t)0x7ff0, (q15_t)0xfd34, (q15_t)0x7ff0, (q15_t)0xfd27, (q15_t)0x7fef, (q15_t)0xfd1b,
+    (q15_t)0x7fef, (q15_t)0xfd0e, (q15_t)0x7fee, (q15_t)0xfd02, (q15_t)0x7fed, (q15_t)0xfcf5, (q15_t)0x7fed, (q15_t)0xfce9,
+    (q15_t)0x7fec, (q15_t)0xfcdc, (q15_t)0x7fec, (q15_t)0xfcd0, (q15_t)0x7feb, (q15_t)0xfcc3, (q15_t)0x7fea, (q15_t)0xfcb6,
+    (q15_t)0x7fea, (q15_t)0xfcaa, (q15_t)0x7fe9, (q15_t)0xfc9d, (q15_t)0x7fe8, (q15_t)0xfc91, (q15_t)0x7fe8, (q15_t)0xfc84,
+    (q15_t)0x7fe7, (q15_t)0xfc78, (q15_t)0x7fe6, (q15_t)0xfc6b, (q15_t)0x7fe6, (q15_t)0xfc5f, (q15_t)0x7fe5, (q15_t)0xfc52,
+    (q15_t)0x7fe4, (q15_t)0xfc45, (q15_t)0x7fe3, (q15_t)0xfc39, (q15_t)0x7fe3, (q15_t)0xfc2c, (q15_t)0x7fe2, (q15_t)0xfc20,
+    (q15_t)0x7fe1, (q15_t)0xfc13, (q15_t)0x7fe0, (q15_t)0xfc07, (q15_t)0x7fe0, (q15_t)0xfbfa, (q15_t)0x7fdf, (q15_t)0xfbee,
+    (q15_t)0x7fde, (q15_t)0xfbe1, (q15_t)0x7fdd, (q15_t)0xfbd5, (q15_t)0x7fdc, (q15_t)0xfbc8, (q15_t)0x7fdc, (q15_t)0xfbbc,
+    (q15_t)0x7fdb, (q15_t)0xfbaf, (q15_t)0x7fda, (q15_t)0xfba2, (q15_t)0x7fd9, (q15_t)0xfb96, (q15_t)0x7fd8, (q15_t)0xfb89,
+    (q15_t)0x7fd7, (q15_t)0xfb7d, (q15_t)0x7fd6, (q15_t)0xfb70, (q15_t)0x7fd5, (q15_t)0xfb64, (q15_t)0x7fd5, (q15_t)0xfb57,
+    (q15_t)0x7fd4, (q15_t)0xfb4b, (q15_t)0x7fd3, (q15_t)0xfb3e, (q15_t)0x7fd2, (q15_t)0xfb32, (q15_t)0x7fd1, (q15_t)0xfb25,
+    (q15_t)0x7fd0, (q15_t)0xfb19, (q15_t)0x7fcf, (q15_t)0xfb0c, (q15_t)0x7fce, (q15_t)0xfb00, (q15_t)0x7fcd, (q15_t)0xfaf3,
+    (q15_t)0x7fcc, (q15_t)0xfae6, (q15_t)0x7fcb, (q15_t)0xfada, (q15_t)0x7fca, (q15_t)0xfacd, (q15_t)0x7fc9, (q15_t)0xfac1,
+    (q15_t)0x7fc8, (q15_t)0xfab4, (q15_t)0x7fc7, (q15_t)0xfaa8, (q15_t)0x7fc6, (q15_t)0xfa9b, (q15_t)0x7fc5, (q15_t)0xfa8f,
+    (q15_t)0x7fc4, (q15_t)0xfa82, (q15_t)0x7fc3, (q15_t)0xfa76, (q15_t)0x7fc1, (q15_t)0xfa69, (q15_t)0x7fc0, (q15_t)0xfa5d,
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+    (q15_t)0x7fbb, (q15_t)0xfa1e, (q15_t)0x7fb9, (q15_t)0xfa12, (q15_t)0x7fb8, (q15_t)0xfa05, (q15_t)0x7fb7, (q15_t)0xf9f9,
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+    (q15_t)0x74aa, (q15_t)0xdba2, (q15_t)0x74a2, (q15_t)0xdb97, (q15_t)0x749b, (q15_t)0xdb8d, (q15_t)0x7494, (q15_t)0xdb83,
+    (q15_t)0x748d, (q15_t)0xdb78, (q15_t)0x7486, (q15_t)0xdb6e, (q15_t)0x747f, (q15_t)0xdb64, (q15_t)0x7477, (q15_t)0xdb59,
+    (q15_t)0x7470, (q15_t)0xdb4f, (q15_t)0x7469, (q15_t)0xdb45, (q15_t)0x7462, (q15_t)0xdb3b, (q15_t)0x745b, (q15_t)0xdb30,
+    (q15_t)0x7453, (q15_t)0xdb26, (q15_t)0x744c, (q15_t)0xdb1c, (q15_t)0x7445, (q15_t)0xdb11, (q15_t)0x743e, (q15_t)0xdb07,
+    (q15_t)0x7436, (q15_t)0xdafd, (q15_t)0x742f, (q15_t)0xdaf3, (q15_t)0x7428, (q15_t)0xdae8, (q15_t)0x7420, (q15_t)0xdade,
+    (q15_t)0x7419, (q15_t)0xdad4, (q15_t)0x7412, (q15_t)0xdaca, (q15_t)0x740b, (q15_t)0xdabf, (q15_t)0x7403, (q15_t)0xdab5,
+    (q15_t)0x73fc, (q15_t)0xdaab, (q15_t)0x73f5, (q15_t)0xdaa1, (q15_t)0x73ed, (q15_t)0xda97, (q15_t)0x73e6, (q15_t)0xda8c,
+    (q15_t)0x73df, (q15_t)0xda82, (q15_t)0x73d7, (q15_t)0xda78, (q15_t)0x73d0, (q15_t)0xda6e, (q15_t)0x73c8, (q15_t)0xda64,
+    (q15_t)0x73c1, (q15_t)0xda5a, (q15_t)0x73ba, (q15_t)0xda4f, (q15_t)0x73b2, (q15_t)0xda45, (q15_t)0x73ab, (q15_t)0xda3b,
+    (q15_t)0x73a3, (q15_t)0xda31, (q15_t)0x739c, (q15_t)0xda27, (q15_t)0x7395, (q15_t)0xda1d, (q15_t)0x738d, (q15_t)0xda13,
+    (q15_t)0x7386, (q15_t)0xda08, (q15_t)0x737e, (q15_t)0xd9fe, (q15_t)0x7377, (q15_t)0xd9f4, (q15_t)0x736f, (q15_t)0xd9ea,
+    (q15_t)0x7368, (q15_t)0xd9e0, (q15_t)0x7360, (q15_t)0xd9d6, (q15_t)0x7359, (q15_t)0xd9cc, (q15_t)0x7351, (q15_t)0xd9c2,
+    (q15_t)0x734a, (q15_t)0xd9b8, (q15_t)0x7342, (q15_t)0xd9ae, (q15_t)0x733b, (q15_t)0xd9a4, (q15_t)0x7333, (q15_t)0xd99a,
+    (q15_t)0x732c, (q15_t)0xd98f, (q15_t)0x7324, (q15_t)0xd985, (q15_t)0x731d, (q15_t)0xd97b, (q15_t)0x7315, (q15_t)0xd971,
+    (q15_t)0x730d, (q15_t)0xd967, (q15_t)0x7306, (q15_t)0xd95d, (q15_t)0x72fe, (q15_t)0xd953, (q15_t)0x72f7, (q15_t)0xd949,
+    (q15_t)0x72ef, (q15_t)0xd93f, (q15_t)0x72e7, (q15_t)0xd935, (q15_t)0x72e0, (q15_t)0xd92b, (q15_t)0x72d8, (q15_t)0xd921,
+    (q15_t)0x72d0, (q15_t)0xd917, (q15_t)0x72c9, (q15_t)0xd90d, (q15_t)0x72c1, (q15_t)0xd903, (q15_t)0x72ba, (q15_t)0xd8f9,
+    (q15_t)0x72b2, (q15_t)0xd8ef, (q15_t)0x72aa, (q15_t)0xd8e6, (q15_t)0x72a3, (q15_t)0xd8dc, (q15_t)0x729b, (q15_t)0xd8d2,
+    (q15_t)0x7293, (q15_t)0xd8c8, (q15_t)0x728b, (q15_t)0xd8be, (q15_t)0x7284, (q15_t)0xd8b4, (q15_t)0x727c, (q15_t)0xd8aa,
+    (q15_t)0x7274, (q15_t)0xd8a0, (q15_t)0x726d, (q15_t)0xd896, (q15_t)0x7265, (q15_t)0xd88c, (q15_t)0x725d, (q15_t)0xd882,
+    (q15_t)0x7255, (q15_t)0xd878, (q15_t)0x724e, (q15_t)0xd86f, (q15_t)0x7246, (q15_t)0xd865, (q15_t)0x723e, (q15_t)0xd85b,
+    (q15_t)0x7236, (q15_t)0xd851, (q15_t)0x722e, (q15_t)0xd847, (q15_t)0x7227, (q15_t)0xd83d, (q15_t)0x721f, (q15_t)0xd833,
+    (q15_t)0x7217, (q15_t)0xd82a, (q15_t)0x720f, (q15_t)0xd820, (q15_t)0x7207, (q15_t)0xd816, (q15_t)0x71ff, (q15_t)0xd80c,
+    (q15_t)0x71f8, (q15_t)0xd802, (q15_t)0x71f0, (q15_t)0xd7f8, (q15_t)0x71e8, (q15_t)0xd7ef, (q15_t)0x71e0, (q15_t)0xd7e5,
+    (q15_t)0x71d8, (q15_t)0xd7db, (q15_t)0x71d0, (q15_t)0xd7d1, (q15_t)0x71c8, (q15_t)0xd7c8, (q15_t)0x71c0, (q15_t)0xd7be,
+    (q15_t)0x71b9, (q15_t)0xd7b4, (q15_t)0x71b1, (q15_t)0xd7aa, (q15_t)0x71a9, (q15_t)0xd7a0, (q15_t)0x71a1, (q15_t)0xd797,
+    (q15_t)0x7199, (q15_t)0xd78d, (q15_t)0x7191, (q15_t)0xd783, (q15_t)0x7189, (q15_t)0xd77a, (q15_t)0x7181, (q15_t)0xd770,
+    (q15_t)0x7179, (q15_t)0xd766, (q15_t)0x7171, (q15_t)0xd75c, (q15_t)0x7169, (q15_t)0xd753, (q15_t)0x7161, (q15_t)0xd749,
+    (q15_t)0x7159, (q15_t)0xd73f, (q15_t)0x7151, (q15_t)0xd736, (q15_t)0x7149, (q15_t)0xd72c, (q15_t)0x7141, (q15_t)0xd722,
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+    (q15_t)0x7119, (q15_t)0xd6f2, (q15_t)0x7111, (q15_t)0xd6e8, (q15_t)0x7109, (q15_t)0xd6df, (q15_t)0x7101, (q15_t)0xd6d5,
+    (q15_t)0x70f9, (q15_t)0xd6cb, (q15_t)0x70f0, (q15_t)0xd6c2, (q15_t)0x70e8, (q15_t)0xd6b8, (q15_t)0x70e0, (q15_t)0xd6af,
+    (q15_t)0x70d8, (q15_t)0xd6a5, (q15_t)0x70d0, (q15_t)0xd69b, (q15_t)0x70c8, (q15_t)0xd692, (q15_t)0x70c0, (q15_t)0xd688,
+    (q15_t)0x70b8, (q15_t)0xd67f, (q15_t)0x70af, (q15_t)0xd675, (q15_t)0x70a7, (q15_t)0xd66c, (q15_t)0x709f, (q15_t)0xd662,
+    (q15_t)0x7097, (q15_t)0xd659, (q15_t)0x708f, (q15_t)0xd64f, (q15_t)0x7087, (q15_t)0xd645, (q15_t)0x707e, (q15_t)0xd63c,
+    (q15_t)0x7076, (q15_t)0xd632, (q15_t)0x706e, (q15_t)0xd629, (q15_t)0x7066, (q15_t)0xd61f, (q15_t)0x705d, (q15_t)0xd616,
+    (q15_t)0x7055, (q15_t)0xd60c, (q15_t)0x704d, (q15_t)0xd603, (q15_t)0x7045, (q15_t)0xd5f9, (q15_t)0x703c, (q15_t)0xd5f0,
+    (q15_t)0x7034, (q15_t)0xd5e6, (q15_t)0x702c, (q15_t)0xd5dd, (q15_t)0x7024, (q15_t)0xd5d4, (q15_t)0x701b, (q15_t)0xd5ca,
+    (q15_t)0x7013, (q15_t)0xd5c1, (q15_t)0x700b, (q15_t)0xd5b7, (q15_t)0x7002, (q15_t)0xd5ae, (q15_t)0x6ffa, (q15_t)0xd5a4,
+    (q15_t)0x6ff2, (q15_t)0xd59b, (q15_t)0x6fea, (q15_t)0xd592, (q15_t)0x6fe1, (q15_t)0xd588, (q15_t)0x6fd9, (q15_t)0xd57f,
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+    (q15_t)0x6f8d, (q15_t)0xd52a, (q15_t)0x6f85, (q15_t)0xd521, (q15_t)0x6f7d, (q15_t)0xd518, (q15_t)0x6f74, (q15_t)0xd50e,
+    (q15_t)0x6f6c, (q15_t)0xd505, (q15_t)0x6f63, (q15_t)0xd4fc, (q15_t)0x6f5b, (q15_t)0xd4f3, (q15_t)0x6f52, (q15_t)0xd4e9,
+    (q15_t)0x6f4a, (q15_t)0xd4e0, (q15_t)0x6f41, (q15_t)0xd4d7, (q15_t)0x6f39, (q15_t)0xd4cd, (q15_t)0x6f30, (q15_t)0xd4c4,
+    (q15_t)0x6f28, (q15_t)0xd4bb, (q15_t)0x6f20, (q15_t)0xd4b2, (q15_t)0x6f17, (q15_t)0xd4a8, (q15_t)0x6f0e, (q15_t)0xd49f,
+    (q15_t)0x6f06, (q15_t)0xd496, (q15_t)0x6efd, (q15_t)0xd48d, (q15_t)0x6ef5, (q15_t)0xd483, (q15_t)0x6eec, (q15_t)0xd47a,
+    (q15_t)0x6ee4, (q15_t)0xd471, (q15_t)0x6edb, (q15_t)0xd468, (q15_t)0x6ed3, (q15_t)0xd45f, (q15_t)0x6eca, (q15_t)0xd455,
+    (q15_t)0x6ec2, (q15_t)0xd44c, (q15_t)0x6eb9, (q15_t)0xd443, (q15_t)0x6eb0, (q15_t)0xd43a, (q15_t)0x6ea8, (q15_t)0xd431,
+    (q15_t)0x6e9f, (q15_t)0xd428, (q15_t)0x6e97, (q15_t)0xd41e, (q15_t)0x6e8e, (q15_t)0xd415, (q15_t)0x6e85, (q15_t)0xd40c,
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+    (q15_t)0x6e37, (q15_t)0xd3ba, (q15_t)0x6e2f, (q15_t)0xd3b1, (q15_t)0x6e26, (q15_t)0xd3a8, (q15_t)0x6e1d, (q15_t)0xd39f,
+    (q15_t)0x6e15, (q15_t)0xd396, (q15_t)0x6e0c, (q15_t)0xd38d, (q15_t)0x6e03, (q15_t)0xd384, (q15_t)0x6dfa, (q15_t)0xd37b,
+    (q15_t)0x6df2, (q15_t)0xd372, (q15_t)0x6de9, (q15_t)0xd369, (q15_t)0x6de0, (q15_t)0xd360, (q15_t)0x6dd7, (q15_t)0xd357,
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+    (q15_t)0x6dab, (q15_t)0xd32a, (q15_t)0x6da3, (q15_t)0xd321, (q15_t)0x6d9a, (q15_t)0xd318, (q15_t)0x6d91, (q15_t)0xd30f,
+    (q15_t)0x6d88, (q15_t)0xd306, (q15_t)0x6d7f, (q15_t)0xd2fd, (q15_t)0x6d76, (q15_t)0xd2f4, (q15_t)0x6d6e, (q15_t)0xd2eb,
+    (q15_t)0x6d65, (q15_t)0xd2e2, (q15_t)0x6d5c, (q15_t)0xd2d9, (q15_t)0x6d53, (q15_t)0xd2d1, (q15_t)0x6d4a, (q15_t)0xd2c8,
+    (q15_t)0x6d41, (q15_t)0xd2bf, (q15_t)0x6d38, (q15_t)0xd2b6, (q15_t)0x6d2f, (q15_t)0xd2ad, (q15_t)0x6d27, (q15_t)0xd2a4,
+    (q15_t)0x6d1e, (q15_t)0xd29b, (q15_t)0x6d15, (q15_t)0xd292, (q15_t)0x6d0c, (q15_t)0xd28a, (q15_t)0x6d03, (q15_t)0xd281,
+    (q15_t)0x6cfa, (q15_t)0xd278, (q15_t)0x6cf1, (q15_t)0xd26f, (q15_t)0x6ce8, (q15_t)0xd266, (q15_t)0x6cdf, (q15_t)0xd25d,
+    (q15_t)0x6cd6, (q15_t)0xd255, (q15_t)0x6ccd, (q15_t)0xd24c, (q15_t)0x6cc4, (q15_t)0xd243, (q15_t)0x6cbb, (q15_t)0xd23a,
+    (q15_t)0x6cb2, (q15_t)0xd231, (q15_t)0x6ca9, (q15_t)0xd229, (q15_t)0x6ca0, (q15_t)0xd220, (q15_t)0x6c97, (q15_t)0xd217,
+    (q15_t)0x6c8e, (q15_t)0xd20e, (q15_t)0x6c85, (q15_t)0xd206, (q15_t)0x6c7c, (q15_t)0xd1fd, (q15_t)0x6c73, (q15_t)0xd1f4,
+    (q15_t)0x6c6a, (q15_t)0xd1eb, (q15_t)0x6c61, (q15_t)0xd1e3, (q15_t)0x6c58, (q15_t)0xd1da, (q15_t)0x6c4f, (q15_t)0xd1d1,
+    (q15_t)0x6c46, (q15_t)0xd1c9, (q15_t)0x6c3d, (q15_t)0xd1c0, (q15_t)0x6c34, (q15_t)0xd1b7, (q15_t)0x6c2b, (q15_t)0xd1af,
+    (q15_t)0x6c21, (q15_t)0xd1a6, (q15_t)0x6c18, (q15_t)0xd19d, (q15_t)0x6c0f, (q15_t)0xd195, (q15_t)0x6c06, (q15_t)0xd18c,
+    (q15_t)0x6bfd, (q15_t)0xd183, (q15_t)0x6bf4, (q15_t)0xd17b, (q15_t)0x6beb, (q15_t)0xd172, (q15_t)0x6be2, (q15_t)0xd169,
+    (q15_t)0x6bd8, (q15_t)0xd161, (q15_t)0x6bcf, (q15_t)0xd158, (q15_t)0x6bc6, (q15_t)0xd150, (q15_t)0x6bbd, (q15_t)0xd147,
+    (q15_t)0x6bb4, (q15_t)0xd13e, (q15_t)0x6bab, (q15_t)0xd136, (q15_t)0x6ba1, (q15_t)0xd12d, (q15_t)0x6b98, (q15_t)0xd125,
+    (q15_t)0x6b8f, (q15_t)0xd11c, (q15_t)0x6b86, (q15_t)0xd114, (q15_t)0x6b7d, (q15_t)0xd10b, (q15_t)0x6b73, (q15_t)0xd103,
+    (q15_t)0x6b6a, (q15_t)0xd0fa, (q15_t)0x6b61, (q15_t)0xd0f2, (q15_t)0x6b58, (q15_t)0xd0e9, (q15_t)0x6b4e, (q15_t)0xd0e0,
+    (q15_t)0x6b45, (q15_t)0xd0d8, (q15_t)0x6b3c, (q15_t)0xd0d0, (q15_t)0x6b33, (q15_t)0xd0c7, (q15_t)0x6b29, (q15_t)0xd0bf,
+    (q15_t)0x6b20, (q15_t)0xd0b6, (q15_t)0x6b17, (q15_t)0xd0ae, (q15_t)0x6b0d, (q15_t)0xd0a5, (q15_t)0x6b04, (q15_t)0xd09d,
+    (q15_t)0x6afb, (q15_t)0xd094, (q15_t)0x6af2, (q15_t)0xd08c, (q15_t)0x6ae8, (q15_t)0xd083, (q15_t)0x6adf, (q15_t)0xd07b,
+    (q15_t)0x6ad6, (q15_t)0xd073, (q15_t)0x6acc, (q15_t)0xd06a, (q15_t)0x6ac3, (q15_t)0xd062, (q15_t)0x6ab9, (q15_t)0xd059,
+    (q15_t)0x6ab0, (q15_t)0xd051, (q15_t)0x6aa7, (q15_t)0xd049, (q15_t)0x6a9d, (q15_t)0xd040, (q15_t)0x6a94, (q15_t)0xd038,
+    (q15_t)0x6a8b, (q15_t)0xd030, (q15_t)0x6a81, (q15_t)0xd027, (q15_t)0x6a78, (q15_t)0xd01f, (q15_t)0x6a6e, (q15_t)0xd016,
+    (q15_t)0x6a65, (q15_t)0xd00e, (q15_t)0x6a5c, (q15_t)0xd006, (q15_t)0x6a52, (q15_t)0xcffe, (q15_t)0x6a49, (q15_t)0xcff5,
+    (q15_t)0x6a3f, (q15_t)0xcfed, (q15_t)0x6a36, (q15_t)0xcfe5, (q15_t)0x6a2c, (q15_t)0xcfdc, (q15_t)0x6a23, (q15_t)0xcfd4,
+    (q15_t)0x6a1a, (q15_t)0xcfcc, (q15_t)0x6a10, (q15_t)0xcfc4, (q15_t)0x6a07, (q15_t)0xcfbb, (q15_t)0x69fd, (q15_t)0xcfb3,
+    (q15_t)0x69f4, (q15_t)0xcfab, (q15_t)0x69ea, (q15_t)0xcfa3, (q15_t)0x69e1, (q15_t)0xcf9a, (q15_t)0x69d7, (q15_t)0xcf92,
+    (q15_t)0x69ce, (q15_t)0xcf8a, (q15_t)0x69c4, (q15_t)0xcf82, (q15_t)0x69bb, (q15_t)0xcf79, (q15_t)0x69b1, (q15_t)0xcf71,
+    (q15_t)0x69a7, (q15_t)0xcf69, (q15_t)0x699e, (q15_t)0xcf61, (q15_t)0x6994, (q15_t)0xcf59, (q15_t)0x698b, (q15_t)0xcf51,
+    (q15_t)0x6981, (q15_t)0xcf48, (q15_t)0x6978, (q15_t)0xcf40, (q15_t)0x696e, (q15_t)0xcf38, (q15_t)0x6965, (q15_t)0xcf30,
+    (q15_t)0x695b, (q15_t)0xcf28, (q15_t)0x6951, (q15_t)0xcf20, (q15_t)0x6948, (q15_t)0xcf18, (q15_t)0x693e, (q15_t)0xcf10,
+    (q15_t)0x6935, (q15_t)0xcf07, (q15_t)0x692b, (q15_t)0xceff, (q15_t)0x6921, (q15_t)0xcef7, (q15_t)0x6918, (q15_t)0xceef,
+    (q15_t)0x690e, (q15_t)0xcee7, (q15_t)0x6904, (q15_t)0xcedf, (q15_t)0x68fb, (q15_t)0xced7, (q15_t)0x68f1, (q15_t)0xcecf,
+    (q15_t)0x68e7, (q15_t)0xcec7, (q15_t)0x68de, (q15_t)0xcebf, (q15_t)0x68d4, (q15_t)0xceb7, (q15_t)0x68ca, (q15_t)0xceaf,
+    (q15_t)0x68c1, (q15_t)0xcea7, (q15_t)0x68b7, (q15_t)0xce9f, (q15_t)0x68ad, (q15_t)0xce97, (q15_t)0x68a4, (q15_t)0xce8f,
+    (q15_t)0x689a, (q15_t)0xce87, (q15_t)0x6890, (q15_t)0xce7f, (q15_t)0x6886, (q15_t)0xce77, (q15_t)0x687d, (q15_t)0xce6f,
+    (q15_t)0x6873, (q15_t)0xce67, (q15_t)0x6869, (q15_t)0xce5f, (q15_t)0x6860, (q15_t)0xce57, (q15_t)0x6856, (q15_t)0xce4f,
+    (q15_t)0x684c, (q15_t)0xce47, (q15_t)0x6842, (q15_t)0xce40, (q15_t)0x6838, (q15_t)0xce38, (q15_t)0x682f, (q15_t)0xce30,
+    (q15_t)0x6825, (q15_t)0xce28, (q15_t)0x681b, (q15_t)0xce20, (q15_t)0x6811, (q15_t)0xce18, (q15_t)0x6808, (q15_t)0xce10,
+    (q15_t)0x67fe, (q15_t)0xce08, (q15_t)0x67f4, (q15_t)0xce01, (q15_t)0x67ea, (q15_t)0xcdf9, (q15_t)0x67e0, (q15_t)0xcdf1,
+    (q15_t)0x67d6, (q15_t)0xcde9, (q15_t)0x67cd, (q15_t)0xcde1, (q15_t)0x67c3, (q15_t)0xcdd9, (q15_t)0x67b9, (q15_t)0xcdd2,
+    (q15_t)0x67af, (q15_t)0xcdca, (q15_t)0x67a5, (q15_t)0xcdc2, (q15_t)0x679b, (q15_t)0xcdba, (q15_t)0x6791, (q15_t)0xcdb2,
+    (q15_t)0x6788, (q15_t)0xcdab, (q15_t)0x677e, (q15_t)0xcda3, (q15_t)0x6774, (q15_t)0xcd9b, (q15_t)0x676a, (q15_t)0xcd93,
+    (q15_t)0x6760, (q15_t)0xcd8c, (q15_t)0x6756, (q15_t)0xcd84, (q15_t)0x674c, (q15_t)0xcd7c, (q15_t)0x6742, (q15_t)0xcd75,
+    (q15_t)0x6738, (q15_t)0xcd6d, (q15_t)0x672e, (q15_t)0xcd65, (q15_t)0x6724, (q15_t)0xcd5d, (q15_t)0x671a, (q15_t)0xcd56,
+    (q15_t)0x6711, (q15_t)0xcd4e, (q15_t)0x6707, (q15_t)0xcd46, (q15_t)0x66fd, (q15_t)0xcd3f, (q15_t)0x66f3, (q15_t)0xcd37,
+    (q15_t)0x66e9, (q15_t)0xcd30, (q15_t)0x66df, (q15_t)0xcd28, (q15_t)0x66d5, (q15_t)0xcd20, (q15_t)0x66cb, (q15_t)0xcd19,
+    (q15_t)0x66c1, (q15_t)0xcd11, (q15_t)0x66b7, (q15_t)0xcd09, (q15_t)0x66ad, (q15_t)0xcd02, (q15_t)0x66a3, (q15_t)0xccfa,
+    (q15_t)0x6699, (q15_t)0xccf3, (q15_t)0x668f, (q15_t)0xcceb, (q15_t)0x6685, (q15_t)0xcce3, (q15_t)0x667b, (q15_t)0xccdc,
+    (q15_t)0x6671, (q15_t)0xccd4, (q15_t)0x6666, (q15_t)0xcccd, (q15_t)0x665c, (q15_t)0xccc5, (q15_t)0x6652, (q15_t)0xccbe,
+    (q15_t)0x6648, (q15_t)0xccb6, (q15_t)0x663e, (q15_t)0xccaf, (q15_t)0x6634, (q15_t)0xcca7, (q15_t)0x662a, (q15_t)0xcca0,
+    (q15_t)0x6620, (q15_t)0xcc98, (q15_t)0x6616, (q15_t)0xcc91, (q15_t)0x660c, (q15_t)0xcc89, (q15_t)0x6602, (q15_t)0xcc82,
+    (q15_t)0x65f8, (q15_t)0xcc7a, (q15_t)0x65ed, (q15_t)0xcc73, (q15_t)0x65e3, (q15_t)0xcc6b, (q15_t)0x65d9, (q15_t)0xcc64,
+    (q15_t)0x65cf, (q15_t)0xcc5d, (q15_t)0x65c5, (q15_t)0xcc55, (q15_t)0x65bb, (q15_t)0xcc4e, (q15_t)0x65b1, (q15_t)0xcc46,
+    (q15_t)0x65a6, (q15_t)0xcc3f, (q15_t)0x659c, (q15_t)0xcc38, (q15_t)0x6592, (q15_t)0xcc30, (q15_t)0x6588, (q15_t)0xcc29,
+    (q15_t)0x657e, (q15_t)0xcc21, (q15_t)0x6574, (q15_t)0xcc1a, (q15_t)0x6569, (q15_t)0xcc13, (q15_t)0x655f, (q15_t)0xcc0b,
+    (q15_t)0x6555, (q15_t)0xcc04, (q15_t)0x654b, (q15_t)0xcbfd, (q15_t)0x6541, (q15_t)0xcbf5, (q15_t)0x6536, (q15_t)0xcbee,
+    (q15_t)0x652c, (q15_t)0xcbe7, (q15_t)0x6522, (q15_t)0xcbe0, (q15_t)0x6518, (q15_t)0xcbd8, (q15_t)0x650d, (q15_t)0xcbd1,
+    (q15_t)0x6503, (q15_t)0xcbca, (q15_t)0x64f9, (q15_t)0xcbc2, (q15_t)0x64ef, (q15_t)0xcbbb, (q15_t)0x64e4, (q15_t)0xcbb4,
+    (q15_t)0x64da, (q15_t)0xcbad, (q15_t)0x64d0, (q15_t)0xcba5, (q15_t)0x64c5, (q15_t)0xcb9e, (q15_t)0x64bb, (q15_t)0xcb97,
+    (q15_t)0x64b1, (q15_t)0xcb90, (q15_t)0x64a7, (q15_t)0xcb89, (q15_t)0x649c, (q15_t)0xcb81, (q15_t)0x6492, (q15_t)0xcb7a,
+    (q15_t)0x6488, (q15_t)0xcb73, (q15_t)0x647d, (q15_t)0xcb6c, (q15_t)0x6473, (q15_t)0xcb65, (q15_t)0x6469, (q15_t)0xcb5e,
+    (q15_t)0x645e, (q15_t)0xcb56, (q15_t)0x6454, (q15_t)0xcb4f, (q15_t)0x644a, (q15_t)0xcb48, (q15_t)0x643f, (q15_t)0xcb41,
+    (q15_t)0x6435, (q15_t)0xcb3a, (q15_t)0x642b, (q15_t)0xcb33, (q15_t)0x6420, (q15_t)0xcb2c, (q15_t)0x6416, (q15_t)0xcb25,
+    (q15_t)0x640b, (q15_t)0xcb1e, (q15_t)0x6401, (q15_t)0xcb16, (q15_t)0x63f7, (q15_t)0xcb0f, (q15_t)0x63ec, (q15_t)0xcb08,
+    (q15_t)0x63e2, (q15_t)0xcb01, (q15_t)0x63d7, (q15_t)0xcafa, (q15_t)0x63cd, (q15_t)0xcaf3, (q15_t)0x63c3, (q15_t)0xcaec,
+    (q15_t)0x63b8, (q15_t)0xcae5, (q15_t)0x63ae, (q15_t)0xcade, (q15_t)0x63a3, (q15_t)0xcad7, (q15_t)0x6399, (q15_t)0xcad0,
+    (q15_t)0x638e, (q15_t)0xcac9, (q15_t)0x6384, (q15_t)0xcac2, (q15_t)0x637a, (q15_t)0xcabb, (q15_t)0x636f, (q15_t)0xcab4,
+    (q15_t)0x6365, (q15_t)0xcaad, (q15_t)0x635a, (q15_t)0xcaa6, (q15_t)0x6350, (q15_t)0xca9f, (q15_t)0x6345, (q15_t)0xca99,
+    (q15_t)0x633b, (q15_t)0xca92, (q15_t)0x6330, (q15_t)0xca8b, (q15_t)0x6326, (q15_t)0xca84, (q15_t)0x631b, (q15_t)0xca7d,
+    (q15_t)0x6311, (q15_t)0xca76, (q15_t)0x6306, (q15_t)0xca6f, (q15_t)0x62fc, (q15_t)0xca68, (q15_t)0x62f1, (q15_t)0xca61,
+    (q15_t)0x62e7, (q15_t)0xca5b, (q15_t)0x62dc, (q15_t)0xca54, (q15_t)0x62d2, (q15_t)0xca4d, (q15_t)0x62c7, (q15_t)0xca46,
+    (q15_t)0x62bc, (q15_t)0xca3f, (q15_t)0x62b2, (q15_t)0xca38, (q15_t)0x62a7, (q15_t)0xca32, (q15_t)0x629d, (q15_t)0xca2b,
+    (q15_t)0x6292, (q15_t)0xca24, (q15_t)0x6288, (q15_t)0xca1d, (q15_t)0x627d, (q15_t)0xca16, (q15_t)0x6272, (q15_t)0xca10,
+    (q15_t)0x6268, (q15_t)0xca09, (q15_t)0x625d, (q15_t)0xca02, (q15_t)0x6253, (q15_t)0xc9fb, (q15_t)0x6248, (q15_t)0xc9f5,
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+    (q15_t)0x6213, (q15_t)0xc9d3, (q15_t)0x6208, (q15_t)0xc9cc, (q15_t)0x61fe, (q15_t)0xc9c6, (q15_t)0x61f3, (q15_t)0xc9bf,
+    (q15_t)0x61e8, (q15_t)0xc9b8, (q15_t)0x61de, (q15_t)0xc9b2, (q15_t)0x61d3, (q15_t)0xc9ab, (q15_t)0x61c8, (q15_t)0xc9a4,
+    (q15_t)0x61be, (q15_t)0xc99e, (q15_t)0x61b3, (q15_t)0xc997, (q15_t)0x61a8, (q15_t)0xc991, (q15_t)0x619e, (q15_t)0xc98a,
+    (q15_t)0x6193, (q15_t)0xc983, (q15_t)0x6188, (q15_t)0xc97d, (q15_t)0x617d, (q15_t)0xc976, (q15_t)0x6173, (q15_t)0xc970,
+    (q15_t)0x6168, (q15_t)0xc969, (q15_t)0x615d, (q15_t)0xc963, (q15_t)0x6153, (q15_t)0xc95c, (q15_t)0x6148, (q15_t)0xc955,
+    (q15_t)0x613d, (q15_t)0xc94f, (q15_t)0x6132, (q15_t)0xc948, (q15_t)0x6128, (q15_t)0xc942, (q15_t)0x611d, (q15_t)0xc93b,
+    (q15_t)0x6112, (q15_t)0xc935, (q15_t)0x6107, (q15_t)0xc92e, (q15_t)0x60fd, (q15_t)0xc928, (q15_t)0x60f2, (q15_t)0xc921,
+    (q15_t)0x60e7, (q15_t)0xc91b, (q15_t)0x60dc, (q15_t)0xc915, (q15_t)0x60d1, (q15_t)0xc90e, (q15_t)0x60c7, (q15_t)0xc908,
+    (q15_t)0x60bc, (q15_t)0xc901, (q15_t)0x60b1, (q15_t)0xc8fb, (q15_t)0x60a6, (q15_t)0xc8f4, (q15_t)0x609b, (q15_t)0xc8ee,
+    (q15_t)0x6091, (q15_t)0xc8e8, (q15_t)0x6086, (q15_t)0xc8e1, (q15_t)0x607b, (q15_t)0xc8db, (q15_t)0x6070, (q15_t)0xc8d4,
+    (q15_t)0x6065, (q15_t)0xc8ce, (q15_t)0x605b, (q15_t)0xc8c8, (q15_t)0x6050, (q15_t)0xc8c1, (q15_t)0x6045, (q15_t)0xc8bb,
+    (q15_t)0x603a, (q15_t)0xc8b5, (q15_t)0x602f, (q15_t)0xc8ae, (q15_t)0x6024, (q15_t)0xc8a8, (q15_t)0x6019, (q15_t)0xc8a2,
+    (q15_t)0x600f, (q15_t)0xc89b, (q15_t)0x6004, (q15_t)0xc895, (q15_t)0x5ff9, (q15_t)0xc88f, (q15_t)0x5fee, (q15_t)0xc889,
+    (q15_t)0x5fe3, (q15_t)0xc882, (q15_t)0x5fd8, (q15_t)0xc87c, (q15_t)0x5fcd, (q15_t)0xc876, (q15_t)0x5fc2, (q15_t)0xc870,
+    (q15_t)0x5fb7, (q15_t)0xc869, (q15_t)0x5fac, (q15_t)0xc863, (q15_t)0x5fa2, (q15_t)0xc85d, (q15_t)0x5f97, (q15_t)0xc857,
+    (q15_t)0x5f8c, (q15_t)0xc850, (q15_t)0x5f81, (q15_t)0xc84a, (q15_t)0x5f76, (q15_t)0xc844, (q15_t)0x5f6b, (q15_t)0xc83e,
+    (q15_t)0x5f60, (q15_t)0xc838, (q15_t)0x5f55, (q15_t)0xc832, (q15_t)0x5f4a, (q15_t)0xc82b, (q15_t)0x5f3f, (q15_t)0xc825,
+    (q15_t)0x5f34, (q15_t)0xc81f, (q15_t)0x5f29, (q15_t)0xc819, (q15_t)0x5f1e, (q15_t)0xc813, (q15_t)0x5f13, (q15_t)0xc80d,
+    (q15_t)0x5f08, (q15_t)0xc807, (q15_t)0x5efd, (q15_t)0xc801, (q15_t)0x5ef2, (q15_t)0xc7fb, (q15_t)0x5ee7, (q15_t)0xc7f5,
+    (q15_t)0x5edc, (q15_t)0xc7ee, (q15_t)0x5ed1, (q15_t)0xc7e8, (q15_t)0x5ec6, (q15_t)0xc7e2, (q15_t)0x5ebb, (q15_t)0xc7dc,
+    (q15_t)0x5eb0, (q15_t)0xc7d6, (q15_t)0x5ea5, (q15_t)0xc7d0, (q15_t)0x5e9a, (q15_t)0xc7ca, (q15_t)0x5e8f, (q15_t)0xc7c4,
+    (q15_t)0x5e84, (q15_t)0xc7be, (q15_t)0x5e79, (q15_t)0xc7b8, (q15_t)0x5e6e, (q15_t)0xc7b2, (q15_t)0x5e63, (q15_t)0xc7ac,
+    (q15_t)0x5e58, (q15_t)0xc7a6, (q15_t)0x5e4d, (q15_t)0xc7a0, (q15_t)0x5e42, (q15_t)0xc79a, (q15_t)0x5e36, (q15_t)0xc795,
+    (q15_t)0x5e2b, (q15_t)0xc78f, (q15_t)0x5e20, (q15_t)0xc789, (q15_t)0x5e15, (q15_t)0xc783, (q15_t)0x5e0a, (q15_t)0xc77d,
+    (q15_t)0x5dff, (q15_t)0xc777, (q15_t)0x5df4, (q15_t)0xc771, (q15_t)0x5de9, (q15_t)0xc76b, (q15_t)0x5dde, (q15_t)0xc765,
+    (q15_t)0x5dd3, (q15_t)0xc75f, (q15_t)0x5dc7, (q15_t)0xc75a, (q15_t)0x5dbc, (q15_t)0xc754, (q15_t)0x5db1, (q15_t)0xc74e,
+    (q15_t)0x5da6, (q15_t)0xc748, (q15_t)0x5d9b, (q15_t)0xc742, (q15_t)0x5d90, (q15_t)0xc73d, (q15_t)0x5d85, (q15_t)0xc737,
+    (q15_t)0x5d79, (q15_t)0xc731, (q15_t)0x5d6e, (q15_t)0xc72b, (q15_t)0x5d63, (q15_t)0xc725, (q15_t)0x5d58, (q15_t)0xc720,
+    (q15_t)0x5d4d, (q15_t)0xc71a, (q15_t)0x5d42, (q15_t)0xc714, (q15_t)0x5d36, (q15_t)0xc70e, (q15_t)0x5d2b, (q15_t)0xc709,
+    (q15_t)0x5d20, (q15_t)0xc703, (q15_t)0x5d15, (q15_t)0xc6fd, (q15_t)0x5d0a, (q15_t)0xc6f7, (q15_t)0x5cff, (q15_t)0xc6f2,
+    (q15_t)0x5cf3, (q15_t)0xc6ec, (q15_t)0x5ce8, (q15_t)0xc6e6, (q15_t)0x5cdd, (q15_t)0xc6e1, (q15_t)0x5cd2, (q15_t)0xc6db,
+    (q15_t)0x5cc6, (q15_t)0xc6d5, (q15_t)0x5cbb, (q15_t)0xc6d0, (q15_t)0x5cb0, (q15_t)0xc6ca, (q15_t)0x5ca5, (q15_t)0xc6c5,
+    (q15_t)0x5c99, (q15_t)0xc6bf, (q15_t)0x5c8e, (q15_t)0xc6b9, (q15_t)0x5c83, (q15_t)0xc6b4, (q15_t)0x5c78, (q15_t)0xc6ae,
+    (q15_t)0x5c6c, (q15_t)0xc6a8, (q15_t)0x5c61, (q15_t)0xc6a3, (q15_t)0x5c56, (q15_t)0xc69d, (q15_t)0x5c4b, (q15_t)0xc698,
+    (q15_t)0x5c3f, (q15_t)0xc692, (q15_t)0x5c34, (q15_t)0xc68d, (q15_t)0x5c29, (q15_t)0xc687, (q15_t)0x5c1e, (q15_t)0xc682,
+    (q15_t)0x5c12, (q15_t)0xc67c, (q15_t)0x5c07, (q15_t)0xc677, (q15_t)0x5bfc, (q15_t)0xc671, (q15_t)0x5bf0, (q15_t)0xc66c,
+    (q15_t)0x5be5, (q15_t)0xc666, (q15_t)0x5bda, (q15_t)0xc661, (q15_t)0x5bce, (q15_t)0xc65b, (q15_t)0x5bc3, (q15_t)0xc656,
+    (q15_t)0x5bb8, (q15_t)0xc650, (q15_t)0x5bac, (q15_t)0xc64b, (q15_t)0x5ba1, (q15_t)0xc645, (q15_t)0x5b96, (q15_t)0xc640,
+    (q15_t)0x5b8a, (q15_t)0xc63b, (q15_t)0x5b7f, (q15_t)0xc635, (q15_t)0x5b74, (q15_t)0xc630, (q15_t)0x5b68, (q15_t)0xc62a,
+    (q15_t)0x5b5d, (q15_t)0xc625, (q15_t)0x5b52, (q15_t)0xc620, (q15_t)0x5b46, (q15_t)0xc61a, (q15_t)0x5b3b, (q15_t)0xc615,
+    (q15_t)0x5b30, (q15_t)0xc610, (q15_t)0x5b24, (q15_t)0xc60a, (q15_t)0x5b19, (q15_t)0xc605, (q15_t)0x5b0d, (q15_t)0xc600,
+    (q15_t)0x5b02, (q15_t)0xc5fa, (q15_t)0x5af7, (q15_t)0xc5f5, (q15_t)0x5aeb, (q15_t)0xc5f0, (q15_t)0x5ae0, (q15_t)0xc5ea,
+    (q15_t)0x5ad4, (q15_t)0xc5e5, (q15_t)0x5ac9, (q15_t)0xc5e0, (q15_t)0x5abe, (q15_t)0xc5db, (q15_t)0x5ab2, (q15_t)0xc5d5,
+    (q15_t)0x5aa7, (q15_t)0xc5d0, (q15_t)0x5a9b, (q15_t)0xc5cb, (q15_t)0x5a90, (q15_t)0xc5c6, (q15_t)0x5a84, (q15_t)0xc5c1,
+    (q15_t)0x5a79, (q15_t)0xc5bb, (q15_t)0x5a6e, (q15_t)0xc5b6, (q15_t)0x5a62, (q15_t)0xc5b1, (q15_t)0x5a57, (q15_t)0xc5ac,
+    (q15_t)0x5a4b, (q15_t)0xc5a7, (q15_t)0x5a40, (q15_t)0xc5a1, (q15_t)0x5a34, (q15_t)0xc59c, (q15_t)0x5a29, (q15_t)0xc597,
+    (q15_t)0x5a1d, (q15_t)0xc592, (q15_t)0x5a12, (q15_t)0xc58d, (q15_t)0x5a06, (q15_t)0xc588, (q15_t)0x59fb, (q15_t)0xc583,
+    (q15_t)0x59ef, (q15_t)0xc57e, (q15_t)0x59e4, (q15_t)0xc578, (q15_t)0x59d8, (q15_t)0xc573, (q15_t)0x59cd, (q15_t)0xc56e,
+    (q15_t)0x59c1, (q15_t)0xc569, (q15_t)0x59b6, (q15_t)0xc564, (q15_t)0x59aa, (q15_t)0xc55f, (q15_t)0x599f, (q15_t)0xc55a,
+    (q15_t)0x5993, (q15_t)0xc555, (q15_t)0x5988, (q15_t)0xc550, (q15_t)0x597c, (q15_t)0xc54b, (q15_t)0x5971, (q15_t)0xc546,
+    (q15_t)0x5965, (q15_t)0xc541, (q15_t)0x595a, (q15_t)0xc53c, (q15_t)0x594e, (q15_t)0xc537, (q15_t)0x5943, (q15_t)0xc532,
+    (q15_t)0x5937, (q15_t)0xc52d, (q15_t)0x592c, (q15_t)0xc528, (q15_t)0x5920, (q15_t)0xc523, (q15_t)0x5914, (q15_t)0xc51e,
+    (q15_t)0x5909, (q15_t)0xc51a, (q15_t)0x58fd, (q15_t)0xc515, (q15_t)0x58f2, (q15_t)0xc510, (q15_t)0x58e6, (q15_t)0xc50b,
+    (q15_t)0x58db, (q15_t)0xc506, (q15_t)0x58cf, (q15_t)0xc501, (q15_t)0x58c3, (q15_t)0xc4fc, (q15_t)0x58b8, (q15_t)0xc4f7,
+    (q15_t)0x58ac, (q15_t)0xc4f2, (q15_t)0x58a1, (q15_t)0xc4ee, (q15_t)0x5895, (q15_t)0xc4e9, (q15_t)0x5889, (q15_t)0xc4e4,
+    (q15_t)0x587e, (q15_t)0xc4df, (q15_t)0x5872, (q15_t)0xc4da, (q15_t)0x5867, (q15_t)0xc4d6, (q15_t)0x585b, (q15_t)0xc4d1,
+    (q15_t)0x584f, (q15_t)0xc4cc, (q15_t)0x5844, (q15_t)0xc4c7, (q15_t)0x5838, (q15_t)0xc4c2, (q15_t)0x582d, (q15_t)0xc4be,
+    (q15_t)0x5821, (q15_t)0xc4b9, (q15_t)0x5815, (q15_t)0xc4b4, (q15_t)0x580a, (q15_t)0xc4b0, (q15_t)0x57fe, (q15_t)0xc4ab,
+    (q15_t)0x57f2, (q15_t)0xc4a6, (q15_t)0x57e7, (q15_t)0xc4a1, (q15_t)0x57db, (q15_t)0xc49d, (q15_t)0x57cf, (q15_t)0xc498,
+    (q15_t)0x57c4, (q15_t)0xc493, (q15_t)0x57b8, (q15_t)0xc48f, (q15_t)0x57ac, (q15_t)0xc48a, (q15_t)0x57a1, (q15_t)0xc485,
+    (q15_t)0x5795, (q15_t)0xc481, (q15_t)0x5789, (q15_t)0xc47c, (q15_t)0x577e, (q15_t)0xc478, (q15_t)0x5772, (q15_t)0xc473,
+    (q15_t)0x5766, (q15_t)0xc46e, (q15_t)0x575b, (q15_t)0xc46a, (q15_t)0x574f, (q15_t)0xc465, (q15_t)0x5743, (q15_t)0xc461,
+    (q15_t)0x5737, (q15_t)0xc45c, (q15_t)0x572c, (q15_t)0xc457, (q15_t)0x5720, (q15_t)0xc453, (q15_t)0x5714, (q15_t)0xc44e,
+    (q15_t)0x5709, (q15_t)0xc44a, (q15_t)0x56fd, (q15_t)0xc445, (q15_t)0x56f1, (q15_t)0xc441, (q15_t)0x56e5, (q15_t)0xc43c,
+    (q15_t)0x56da, (q15_t)0xc438, (q15_t)0x56ce, (q15_t)0xc433, (q15_t)0x56c2, (q15_t)0xc42f, (q15_t)0x56b6, (q15_t)0xc42a,
+    (q15_t)0x56ab, (q15_t)0xc426, (q15_t)0x569f, (q15_t)0xc422, (q15_t)0x5693, (q15_t)0xc41d, (q15_t)0x5687, (q15_t)0xc419,
+    (q15_t)0x567c, (q15_t)0xc414, (q15_t)0x5670, (q15_t)0xc410, (q15_t)0x5664, (q15_t)0xc40b, (q15_t)0x5658, (q15_t)0xc407,
+    (q15_t)0x564c, (q15_t)0xc403, (q15_t)0x5641, (q15_t)0xc3fe, (q15_t)0x5635, (q15_t)0xc3fa, (q15_t)0x5629, (q15_t)0xc3f6,
+    (q15_t)0x561d, (q15_t)0xc3f1, (q15_t)0x5612, (q15_t)0xc3ed, (q15_t)0x5606, (q15_t)0xc3e9, (q15_t)0x55fa, (q15_t)0xc3e4,
+    (q15_t)0x55ee, (q15_t)0xc3e0, (q15_t)0x55e2, (q15_t)0xc3dc, (q15_t)0x55d7, (q15_t)0xc3d7, (q15_t)0x55cb, (q15_t)0xc3d3,
+    (q15_t)0x55bf, (q15_t)0xc3cf, (q15_t)0x55b3, (q15_t)0xc3ca, (q15_t)0x55a7, (q15_t)0xc3c6, (q15_t)0x559b, (q15_t)0xc3c2,
+    (q15_t)0x5590, (q15_t)0xc3be, (q15_t)0x5584, (q15_t)0xc3ba, (q15_t)0x5578, (q15_t)0xc3b5, (q15_t)0x556c, (q15_t)0xc3b1,
+    (q15_t)0x5560, (q15_t)0xc3ad, (q15_t)0x5554, (q15_t)0xc3a9, (q15_t)0x5549, (q15_t)0xc3a5, (q15_t)0x553d, (q15_t)0xc3a0,
+    (q15_t)0x5531, (q15_t)0xc39c, (q15_t)0x5525, (q15_t)0xc398, (q15_t)0x5519, (q15_t)0xc394, (q15_t)0x550d, (q15_t)0xc390,
+    (q15_t)0x5501, (q15_t)0xc38c, (q15_t)0x54f6, (q15_t)0xc387, (q15_t)0x54ea, (q15_t)0xc383, (q15_t)0x54de, (q15_t)0xc37f,
+    (q15_t)0x54d2, (q15_t)0xc37b, (q15_t)0x54c6, (q15_t)0xc377, (q15_t)0x54ba, (q15_t)0xc373, (q15_t)0x54ae, (q15_t)0xc36f,
+    (q15_t)0x54a2, (q15_t)0xc36b, (q15_t)0x5496, (q15_t)0xc367, (q15_t)0x548b, (q15_t)0xc363, (q15_t)0x547f, (q15_t)0xc35f,
+    (q15_t)0x5473, (q15_t)0xc35b, (q15_t)0x5467, (q15_t)0xc357, (q15_t)0x545b, (q15_t)0xc353, (q15_t)0x544f, (q15_t)0xc34f,
+    (q15_t)0x5443, (q15_t)0xc34b, (q15_t)0x5437, (q15_t)0xc347, (q15_t)0x542b, (q15_t)0xc343, (q15_t)0x541f, (q15_t)0xc33f,
+    (q15_t)0x5413, (q15_t)0xc33b, (q15_t)0x5407, (q15_t)0xc337, (q15_t)0x53fb, (q15_t)0xc333, (q15_t)0x53f0, (q15_t)0xc32f,
+    (q15_t)0x53e4, (q15_t)0xc32b, (q15_t)0x53d8, (q15_t)0xc327, (q15_t)0x53cc, (q15_t)0xc323, (q15_t)0x53c0, (q15_t)0xc320,
+    (q15_t)0x53b4, (q15_t)0xc31c, (q15_t)0x53a8, (q15_t)0xc318, (q15_t)0x539c, (q15_t)0xc314, (q15_t)0x5390, (q15_t)0xc310,
+    (q15_t)0x5384, (q15_t)0xc30c, (q15_t)0x5378, (q15_t)0xc308, (q15_t)0x536c, (q15_t)0xc305, (q15_t)0x5360, (q15_t)0xc301,
+    (q15_t)0x5354, (q15_t)0xc2fd, (q15_t)0x5348, (q15_t)0xc2f9, (q15_t)0x533c, (q15_t)0xc2f5, (q15_t)0x5330, (q15_t)0xc2f2,
+    (q15_t)0x5324, (q15_t)0xc2ee, (q15_t)0x5318, (q15_t)0xc2ea, (q15_t)0x530c, (q15_t)0xc2e6, (q15_t)0x5300, (q15_t)0xc2e3,
+    (q15_t)0x52f4, (q15_t)0xc2df, (q15_t)0x52e8, (q15_t)0xc2db, (q15_t)0x52dc, (q15_t)0xc2d8, (q15_t)0x52d0, (q15_t)0xc2d4,
+    (q15_t)0x52c4, (q15_t)0xc2d0, (q15_t)0x52b8, (q15_t)0xc2cc, (q15_t)0x52ac, (q15_t)0xc2c9, (q15_t)0x52a0, (q15_t)0xc2c5,
+    (q15_t)0x5294, (q15_t)0xc2c1, (q15_t)0x5288, (q15_t)0xc2be, (q15_t)0x527c, (q15_t)0xc2ba, (q15_t)0x5270, (q15_t)0xc2b7,
+    (q15_t)0x5264, (q15_t)0xc2b3, (q15_t)0x5258, (q15_t)0xc2af, (q15_t)0x524c, (q15_t)0xc2ac, (q15_t)0x5240, (q15_t)0xc2a8,
+    (q15_t)0x5234, (q15_t)0xc2a5, (q15_t)0x5228, (q15_t)0xc2a1, (q15_t)0x521c, (q15_t)0xc29d, (q15_t)0x5210, (q15_t)0xc29a,
+    (q15_t)0x5204, (q15_t)0xc296, (q15_t)0x51f7, (q15_t)0xc293, (q15_t)0x51eb, (q15_t)0xc28f, (q15_t)0x51df, (q15_t)0xc28c,
+    (q15_t)0x51d3, (q15_t)0xc288, (q15_t)0x51c7, (q15_t)0xc285, (q15_t)0x51bb, (q15_t)0xc281, (q15_t)0x51af, (q15_t)0xc27e,
+    (q15_t)0x51a3, (q15_t)0xc27a, (q15_t)0x5197, (q15_t)0xc277, (q15_t)0x518b, (q15_t)0xc273, (q15_t)0x517f, (q15_t)0xc270,
+    (q15_t)0x5173, (q15_t)0xc26d, (q15_t)0x5167, (q15_t)0xc269, (q15_t)0x515a, (q15_t)0xc266, (q15_t)0x514e, (q15_t)0xc262,
+    (q15_t)0x5142, (q15_t)0xc25f, (q15_t)0x5136, (q15_t)0xc25c, (q15_t)0x512a, (q15_t)0xc258, (q15_t)0x511e, (q15_t)0xc255,
+    (q15_t)0x5112, (q15_t)0xc251, (q15_t)0x5106, (q15_t)0xc24e, (q15_t)0x50fa, (q15_t)0xc24b, (q15_t)0x50ed, (q15_t)0xc247,
+    (q15_t)0x50e1, (q15_t)0xc244, (q15_t)0x50d5, (q15_t)0xc241, (q15_t)0x50c9, (q15_t)0xc23e, (q15_t)0x50bd, (q15_t)0xc23a,
+    (q15_t)0x50b1, (q15_t)0xc237, (q15_t)0x50a5, (q15_t)0xc234, (q15_t)0x5099, (q15_t)0xc230, (q15_t)0x508c, (q15_t)0xc22d,
+    (q15_t)0x5080, (q15_t)0xc22a, (q15_t)0x5074, (q15_t)0xc227, (q15_t)0x5068, (q15_t)0xc223, (q15_t)0x505c, (q15_t)0xc220,
+    (q15_t)0x5050, (q15_t)0xc21d, (q15_t)0x5044, (q15_t)0xc21a, (q15_t)0x5037, (q15_t)0xc217, (q15_t)0x502b, (q15_t)0xc213,
+    (q15_t)0x501f, (q15_t)0xc210, (q15_t)0x5013, (q15_t)0xc20d, (q15_t)0x5007, (q15_t)0xc20a, (q15_t)0x4ffb, (q15_t)0xc207,
+    (q15_t)0x4fee, (q15_t)0xc204, (q15_t)0x4fe2, (q15_t)0xc201, (q15_t)0x4fd6, (q15_t)0xc1fd, (q15_t)0x4fca, (q15_t)0xc1fa,
+    (q15_t)0x4fbe, (q15_t)0xc1f7, (q15_t)0x4fb2, (q15_t)0xc1f4, (q15_t)0x4fa5, (q15_t)0xc1f1, (q15_t)0x4f99, (q15_t)0xc1ee,
+    (q15_t)0x4f8d, (q15_t)0xc1eb, (q15_t)0x4f81, (q15_t)0xc1e8, (q15_t)0x4f75, (q15_t)0xc1e5, (q15_t)0x4f68, (q15_t)0xc1e2,
+    (q15_t)0x4f5c, (q15_t)0xc1df, (q15_t)0x4f50, (q15_t)0xc1dc, (q15_t)0x4f44, (q15_t)0xc1d9, (q15_t)0x4f38, (q15_t)0xc1d6,
+    (q15_t)0x4f2b, (q15_t)0xc1d3, (q15_t)0x4f1f, (q15_t)0xc1d0, (q15_t)0x4f13, (q15_t)0xc1cd, (q15_t)0x4f07, (q15_t)0xc1ca,
+    (q15_t)0x4efb, (q15_t)0xc1c7, (q15_t)0x4eee, (q15_t)0xc1c4, (q15_t)0x4ee2, (q15_t)0xc1c1, (q15_t)0x4ed6, (q15_t)0xc1be,
+    (q15_t)0x4eca, (q15_t)0xc1bb, (q15_t)0x4ebd, (q15_t)0xc1b8, (q15_t)0x4eb1, (q15_t)0xc1b6, (q15_t)0x4ea5, (q15_t)0xc1b3,
+    (q15_t)0x4e99, (q15_t)0xc1b0, (q15_t)0x4e8c, (q15_t)0xc1ad, (q15_t)0x4e80, (q15_t)0xc1aa, (q15_t)0x4e74, (q15_t)0xc1a7,
+    (q15_t)0x4e68, (q15_t)0xc1a4, (q15_t)0x4e5c, (q15_t)0xc1a2, (q15_t)0x4e4f, (q15_t)0xc19f, (q15_t)0x4e43, (q15_t)0xc19c,
+    (q15_t)0x4e37, (q15_t)0xc199, (q15_t)0x4e2b, (q15_t)0xc196, (q15_t)0x4e1e, (q15_t)0xc194, (q15_t)0x4e12, (q15_t)0xc191,
+    (q15_t)0x4e06, (q15_t)0xc18e, (q15_t)0x4df9, (q15_t)0xc18b, (q15_t)0x4ded, (q15_t)0xc189, (q15_t)0x4de1, (q15_t)0xc186,
+    (q15_t)0x4dd5, (q15_t)0xc183, (q15_t)0x4dc8, (q15_t)0xc180, (q15_t)0x4dbc, (q15_t)0xc17e, (q15_t)0x4db0, (q15_t)0xc17b,
+    (q15_t)0x4da4, (q15_t)0xc178, (q15_t)0x4d97, (q15_t)0xc176, (q15_t)0x4d8b, (q15_t)0xc173, (q15_t)0x4d7f, (q15_t)0xc170,
+    (q15_t)0x4d72, (q15_t)0xc16e, (q15_t)0x4d66, (q15_t)0xc16b, (q15_t)0x4d5a, (q15_t)0xc168, (q15_t)0x4d4e, (q15_t)0xc166,
+    (q15_t)0x4d41, (q15_t)0xc163, (q15_t)0x4d35, (q15_t)0xc161, (q15_t)0x4d29, (q15_t)0xc15e, (q15_t)0x4d1c, (q15_t)0xc15b,
+    (q15_t)0x4d10, (q15_t)0xc159, (q15_t)0x4d04, (q15_t)0xc156, (q15_t)0x4cf8, (q15_t)0xc154, (q15_t)0x4ceb, (q15_t)0xc151,
+    (q15_t)0x4cdf, (q15_t)0xc14f, (q15_t)0x4cd3, (q15_t)0xc14c, (q15_t)0x4cc6, (q15_t)0xc14a, (q15_t)0x4cba, (q15_t)0xc147,
+    (q15_t)0x4cae, (q15_t)0xc145, (q15_t)0x4ca1, (q15_t)0xc142, (q15_t)0x4c95, (q15_t)0xc140, (q15_t)0x4c89, (q15_t)0xc13d,
+    (q15_t)0x4c7c, (q15_t)0xc13b, (q15_t)0x4c70, (q15_t)0xc138, (q15_t)0x4c64, (q15_t)0xc136, (q15_t)0x4c57, (q15_t)0xc134,
+    (q15_t)0x4c4b, (q15_t)0xc131, (q15_t)0x4c3f, (q15_t)0xc12f, (q15_t)0x4c32, (q15_t)0xc12c, (q15_t)0x4c26, (q15_t)0xc12a,
+    (q15_t)0x4c1a, (q15_t)0xc128, (q15_t)0x4c0d, (q15_t)0xc125, (q15_t)0x4c01, (q15_t)0xc123, (q15_t)0x4bf5, (q15_t)0xc120,
+    (q15_t)0x4be8, (q15_t)0xc11e, (q15_t)0x4bdc, (q15_t)0xc11c, (q15_t)0x4bd0, (q15_t)0xc119, (q15_t)0x4bc3, (q15_t)0xc117,
+    (q15_t)0x4bb7, (q15_t)0xc115, (q15_t)0x4bab, (q15_t)0xc113, (q15_t)0x4b9e, (q15_t)0xc110, (q15_t)0x4b92, (q15_t)0xc10e,
+    (q15_t)0x4b85, (q15_t)0xc10c, (q15_t)0x4b79, (q15_t)0xc109, (q15_t)0x4b6d, (q15_t)0xc107, (q15_t)0x4b60, (q15_t)0xc105,
+    (q15_t)0x4b54, (q15_t)0xc103, (q15_t)0x4b48, (q15_t)0xc100, (q15_t)0x4b3b, (q15_t)0xc0fe, (q15_t)0x4b2f, (q15_t)0xc0fc,
+    (q15_t)0x4b23, (q15_t)0xc0fa, (q15_t)0x4b16, (q15_t)0xc0f8, (q15_t)0x4b0a, (q15_t)0xc0f6, (q15_t)0x4afd, (q15_t)0xc0f3,
+    (q15_t)0x4af1, (q15_t)0xc0f1, (q15_t)0x4ae5, (q15_t)0xc0ef, (q15_t)0x4ad8, (q15_t)0xc0ed, (q15_t)0x4acc, (q15_t)0xc0eb,
+    (q15_t)0x4ac0, (q15_t)0xc0e9, (q15_t)0x4ab3, (q15_t)0xc0e7, (q15_t)0x4aa7, (q15_t)0xc0e4, (q15_t)0x4a9a, (q15_t)0xc0e2,
+    (q15_t)0x4a8e, (q15_t)0xc0e0, (q15_t)0x4a82, (q15_t)0xc0de, (q15_t)0x4a75, (q15_t)0xc0dc, (q15_t)0x4a69, (q15_t)0xc0da,
+    (q15_t)0x4a5c, (q15_t)0xc0d8, (q15_t)0x4a50, (q15_t)0xc0d6, (q15_t)0x4a44, (q15_t)0xc0d4, (q15_t)0x4a37, (q15_t)0xc0d2,
+    (q15_t)0x4a2b, (q15_t)0xc0d0, (q15_t)0x4a1e, (q15_t)0xc0ce, (q15_t)0x4a12, (q15_t)0xc0cc, (q15_t)0x4a06, (q15_t)0xc0ca,
+    (q15_t)0x49f9, (q15_t)0xc0c8, (q15_t)0x49ed, (q15_t)0xc0c6, (q15_t)0x49e0, (q15_t)0xc0c4, (q15_t)0x49d4, (q15_t)0xc0c2,
+    (q15_t)0x49c7, (q15_t)0xc0c0, (q15_t)0x49bb, (q15_t)0xc0be, (q15_t)0x49af, (q15_t)0xc0bd, (q15_t)0x49a2, (q15_t)0xc0bb,
+    (q15_t)0x4996, (q15_t)0xc0b9, (q15_t)0x4989, (q15_t)0xc0b7, (q15_t)0x497d, (q15_t)0xc0b5, (q15_t)0x4970, (q15_t)0xc0b3,
+    (q15_t)0x4964, (q15_t)0xc0b1, (q15_t)0x4958, (q15_t)0xc0af, (q15_t)0x494b, (q15_t)0xc0ae, (q15_t)0x493f, (q15_t)0xc0ac,
+    (q15_t)0x4932, (q15_t)0xc0aa, (q15_t)0x4926, (q15_t)0xc0a8, (q15_t)0x4919, (q15_t)0xc0a6, (q15_t)0x490d, (q15_t)0xc0a5,
+    (q15_t)0x4901, (q15_t)0xc0a3, (q15_t)0x48f4, (q15_t)0xc0a1, (q15_t)0x48e8, (q15_t)0xc09f, (q15_t)0x48db, (q15_t)0xc09e,
+    (q15_t)0x48cf, (q15_t)0xc09c, (q15_t)0x48c2, (q15_t)0xc09a, (q15_t)0x48b6, (q15_t)0xc098, (q15_t)0x48a9, (q15_t)0xc097,
+    (q15_t)0x489d, (q15_t)0xc095, (q15_t)0x4891, (q15_t)0xc093, (q15_t)0x4884, (q15_t)0xc092, (q15_t)0x4878, (q15_t)0xc090,
+    (q15_t)0x486b, (q15_t)0xc08e, (q15_t)0x485f, (q15_t)0xc08d, (q15_t)0x4852, (q15_t)0xc08b, (q15_t)0x4846, (q15_t)0xc089,
+    (q15_t)0x4839, (q15_t)0xc088, (q15_t)0x482d, (q15_t)0xc086, (q15_t)0x4820, (q15_t)0xc085, (q15_t)0x4814, (q15_t)0xc083,
+    (q15_t)0x4807, (q15_t)0xc081, (q15_t)0x47fb, (q15_t)0xc080, (q15_t)0x47ef, (q15_t)0xc07e, (q15_t)0x47e2, (q15_t)0xc07d,
+    (q15_t)0x47d6, (q15_t)0xc07b, (q15_t)0x47c9, (q15_t)0xc07a, (q15_t)0x47bd, (q15_t)0xc078, (q15_t)0x47b0, (q15_t)0xc077,
+    (q15_t)0x47a4, (q15_t)0xc075, (q15_t)0x4797, (q15_t)0xc074, (q15_t)0x478b, (q15_t)0xc072, (q15_t)0x477e, (q15_t)0xc071,
+    (q15_t)0x4772, (q15_t)0xc06f, (q15_t)0x4765, (q15_t)0xc06e, (q15_t)0x4759, (q15_t)0xc06c, (q15_t)0x474c, (q15_t)0xc06b,
+    (q15_t)0x4740, (q15_t)0xc069, (q15_t)0x4733, (q15_t)0xc068, (q15_t)0x4727, (q15_t)0xc067, (q15_t)0x471a, (q15_t)0xc065,
+    (q15_t)0x470e, (q15_t)0xc064, (q15_t)0x4701, (q15_t)0xc062, (q15_t)0x46f5, (q15_t)0xc061, (q15_t)0x46e8, (q15_t)0xc060,
+    (q15_t)0x46dc, (q15_t)0xc05e, (q15_t)0x46cf, (q15_t)0xc05d, (q15_t)0x46c3, (q15_t)0xc05c, (q15_t)0x46b6, (q15_t)0xc05a,
+    (q15_t)0x46aa, (q15_t)0xc059, (q15_t)0x469d, (q15_t)0xc058, (q15_t)0x4691, (q15_t)0xc056, (q15_t)0x4684, (q15_t)0xc055,
+    (q15_t)0x4678, (q15_t)0xc054, (q15_t)0x466b, (q15_t)0xc053, (q15_t)0x465f, (q15_t)0xc051, (q15_t)0x4652, (q15_t)0xc050,
+    (q15_t)0x4646, (q15_t)0xc04f, (q15_t)0x4639, (q15_t)0xc04e, (q15_t)0x462d, (q15_t)0xc04c, (q15_t)0x4620, (q15_t)0xc04b,
+    (q15_t)0x4614, (q15_t)0xc04a, (q15_t)0x4607, (q15_t)0xc049, (q15_t)0x45fb, (q15_t)0xc048, (q15_t)0x45ee, (q15_t)0xc047,
+    (q15_t)0x45e2, (q15_t)0xc045, (q15_t)0x45d5, (q15_t)0xc044, (q15_t)0x45c9, (q15_t)0xc043, (q15_t)0x45bc, (q15_t)0xc042,
+    (q15_t)0x45b0, (q15_t)0xc041, (q15_t)0x45a3, (q15_t)0xc040, (q15_t)0x4597, (q15_t)0xc03f, (q15_t)0x458a, (q15_t)0xc03d,
+    (q15_t)0x457e, (q15_t)0xc03c, (q15_t)0x4571, (q15_t)0xc03b, (q15_t)0x4565, (q15_t)0xc03a, (q15_t)0x4558, (q15_t)0xc039,
+    (q15_t)0x454c, (q15_t)0xc038, (q15_t)0x453f, (q15_t)0xc037, (q15_t)0x4533, (q15_t)0xc036, (q15_t)0x4526, (q15_t)0xc035,
+    (q15_t)0x451a, (q15_t)0xc034, (q15_t)0x450d, (q15_t)0xc033, (q15_t)0x4500, (q15_t)0xc032, (q15_t)0x44f4, (q15_t)0xc031,
+    (q15_t)0x44e7, (q15_t)0xc030, (q15_t)0x44db, (q15_t)0xc02f, (q15_t)0x44ce, (q15_t)0xc02e, (q15_t)0x44c2, (q15_t)0xc02d,
+    (q15_t)0x44b5, (q15_t)0xc02c, (q15_t)0x44a9, (q15_t)0xc02b, (q15_t)0x449c, (q15_t)0xc02b, (q15_t)0x4490, (q15_t)0xc02a,
+    (q15_t)0x4483, (q15_t)0xc029, (q15_t)0x4477, (q15_t)0xc028, (q15_t)0x446a, (q15_t)0xc027, (q15_t)0x445e, (q15_t)0xc026,
+    (q15_t)0x4451, (q15_t)0xc025, (q15_t)0x4444, (q15_t)0xc024, (q15_t)0x4438, (q15_t)0xc024, (q15_t)0x442b, (q15_t)0xc023,
+    (q15_t)0x441f, (q15_t)0xc022, (q15_t)0x4412, (q15_t)0xc021, (q15_t)0x4406, (q15_t)0xc020, (q15_t)0x43f9, (q15_t)0xc020,
+    (q15_t)0x43ed, (q15_t)0xc01f, (q15_t)0x43e0, (q15_t)0xc01e, (q15_t)0x43d4, (q15_t)0xc01d, (q15_t)0x43c7, (q15_t)0xc01d,
+    (q15_t)0x43bb, (q15_t)0xc01c, (q15_t)0x43ae, (q15_t)0xc01b, (q15_t)0x43a1, (q15_t)0xc01a, (q15_t)0x4395, (q15_t)0xc01a,
+    (q15_t)0x4388, (q15_t)0xc019, (q15_t)0x437c, (q15_t)0xc018, (q15_t)0x436f, (q15_t)0xc018, (q15_t)0x4363, (q15_t)0xc017,
+    (q15_t)0x4356, (q15_t)0xc016, (q15_t)0x434a, (q15_t)0xc016, (q15_t)0x433d, (q15_t)0xc015, (q15_t)0x4330, (q15_t)0xc014,
+    (q15_t)0x4324, (q15_t)0xc014, (q15_t)0x4317, (q15_t)0xc013, (q15_t)0x430b, (q15_t)0xc013, (q15_t)0x42fe, (q15_t)0xc012,
+    (q15_t)0x42f2, (q15_t)0xc011, (q15_t)0x42e5, (q15_t)0xc011, (q15_t)0x42d9, (q15_t)0xc010, (q15_t)0x42cc, (q15_t)0xc010,
+    (q15_t)0x42c0, (q15_t)0xc00f, (q15_t)0x42b3, (q15_t)0xc00f, (q15_t)0x42a6, (q15_t)0xc00e, (q15_t)0x429a, (q15_t)0xc00e,
+    (q15_t)0x428d, (q15_t)0xc00d, (q15_t)0x4281, (q15_t)0xc00d, (q15_t)0x4274, (q15_t)0xc00c, (q15_t)0x4268, (q15_t)0xc00c,
+    (q15_t)0x425b, (q15_t)0xc00b, (q15_t)0x424e, (q15_t)0xc00b, (q15_t)0x4242, (q15_t)0xc00a, (q15_t)0x4235, (q15_t)0xc00a,
+    (q15_t)0x4229, (q15_t)0xc009, (q15_t)0x421c, (q15_t)0xc009, (q15_t)0x4210, (q15_t)0xc009, (q15_t)0x4203, (q15_t)0xc008,
+    (q15_t)0x41f7, (q15_t)0xc008, (q15_t)0x41ea, (q15_t)0xc007, (q15_t)0x41dd, (q15_t)0xc007, (q15_t)0x41d1, (q15_t)0xc007,
+    (q15_t)0x41c4, (q15_t)0xc006, (q15_t)0x41b8, (q15_t)0xc006, (q15_t)0x41ab, (q15_t)0xc006, (q15_t)0x419f, (q15_t)0xc005,
+    (q15_t)0x4192, (q15_t)0xc005, (q15_t)0x4186, (q15_t)0xc005, (q15_t)0x4179, (q15_t)0xc004, (q15_t)0x416c, (q15_t)0xc004,
+    (q15_t)0x4160, (q15_t)0xc004, (q15_t)0x4153, (q15_t)0xc004, (q15_t)0x4147, (q15_t)0xc003, (q15_t)0x413a, (q15_t)0xc003,
+    (q15_t)0x412e, (q15_t)0xc003, (q15_t)0x4121, (q15_t)0xc003, (q15_t)0x4114, (q15_t)0xc002, (q15_t)0x4108, (q15_t)0xc002,
+    (q15_t)0x40fb, (q15_t)0xc002, (q15_t)0x40ef, (q15_t)0xc002, (q15_t)0x40e2, (q15_t)0xc002, (q15_t)0x40d6, (q15_t)0xc001,
+    (q15_t)0x40c9, (q15_t)0xc001, (q15_t)0x40bc, (q15_t)0xc001, (q15_t)0x40b0, (q15_t)0xc001, (q15_t)0x40a3, (q15_t)0xc001,
+    (q15_t)0x4097, (q15_t)0xc001, (q15_t)0x408a, (q15_t)0xc001, (q15_t)0x407e, (q15_t)0xc000, (q15_t)0x4071, (q15_t)0xc000,
+    (q15_t)0x4065, (q15_t)0xc000, (q15_t)0x4058, (q15_t)0xc000, (q15_t)0x404b, (q15_t)0xc000, (q15_t)0x403f, (q15_t)0xc000,
+    (q15_t)0x4032, (q15_t)0xc000, (q15_t)0x4026, (q15_t)0xc000, (q15_t)0x4019, (q15_t)0xc000, (q15_t)0x400d, (q15_t)0xc000,
+};
+
+#endif
+/**
+  @} end of RealFFT_Table group
+ */
+
+/**
+  @ingroup DCT4_IDCT4
+ */
+
+/**
+  @addtogroup DCT4_IDCT4_Table DCT Type IV Tables
+  @{
+ */
+
+/**
+  @brief  Weights Table
+ */
+
+/**
+  @par
+  Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre>
+  @par
+  C command to generate the table
+  <pre>
+  for(i = 0; i< N; i++)
+  {
+    weights[(2*i)]   =  cos (i*c);
+    weights[(2*i)+1] = -sin (i*c);
+  } </pre>
+  @par
+  where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code>
+  @par
+  In the tables below the real and imaginary values are placed alternatively, hence the
+  array length is <code>2*N</code>.
+ */
+
+
+/**
+  @par
+  cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre>
+  @par
+  C command to generate the table
+  @par
+  <pre> for(i = 0; i< N; i++)
+  {
+     cos_factors[i]= 2 * cos((2*i+1)*c/2);
+  } </pre>
+  @par
+  where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code>
+*/
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128)
+    const float32_t Weights_128[256] = {
+  1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f,  -0.012271538285719925f,
+  0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f, -0.036807222941358832f,
+  0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f, -0.061320736302208578f,
+  0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f, -0.085797312344439894f,
+  0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f, -0.110222207293883060f,
+  0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f, -0.134580708507126170f,
+  0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f, -0.158858143333861450f,
+  0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f, -0.183039887955140950f,
+  0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f, -0.207111376192218560f,
+  0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f, -0.231058108280671110f,
+  0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f, -0.254865659604514570f,
+  0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f, -0.278519689385053060f,
+  0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f, -0.302005949319228080f,
+  0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f, -0.325310292162262930f,
+  0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f, -0.348418680249434560f,
+  0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f, -0.371317193951837540f,
+  0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f, -0.393992040061048100f,
+  0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f, -0.416429560097637150f,
+  0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f, -0.438616238538527660f,
+  0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f, -0.460538710958240010f,
+  0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f, -0.482183772079122720f,
+  0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f, -0.503538383725717580f,
+  0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f, -0.524589682678468950f,
+  0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f, -0.545324988422046460f,
+  0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f, -0.565731810783613120f,
+  0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f, -0.585797857456438860f,
+  0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f, -0.605511041404325550f,
+  0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f, -0.624859488142386340f,
+  0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f, -0.643831542889791390f,
+  0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f, -0.662415777590171780f,
+  0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f, -0.680600997795453020f,
+  0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f, -0.698376249408972920f,
+  0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f, -0.715730825283818590f,
+  0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f, -0.732654271672412820f,
+  0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f, -0.749136394523459260f,
+  0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f, -0.765167265622458960f,
+  0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f, -0.780737228572094380f,
+  0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f, -0.795836904608883460f,
+  0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f, -0.810457198252594770f,
+  0.575808191417845340f, -0.817584813151583710f, 0.565731810783613230f, -0.824589302785025290f,
+  0.555570233019602290f, -0.831469612302545240f, 0.545324988422046460f, -0.838224705554837970f,
+  0.534997619887097260f, -0.844853565249707010f, 0.524589682678468840f, -0.851355193105265200f,
+  0.514102744193221660f, -0.857728610000272120f, 0.503538383725717580f, -0.863972856121586700f,
+  0.492898192229784090f, -0.870086991108711350f, 0.482183772079122830f, -0.876070094195406600f,
+  0.471396736825997810f, -0.881921264348354940f, 0.460538710958240010f, -0.887639620402853930f,
+  0.449611329654606600f, -0.893224301195515320f, 0.438616238538527710f, -0.898674465693953820f,
+  0.427555093430282200f, -0.903989293123443340f, 0.416429560097637320f, -0.909167983090522270f,
+  0.405241314004989860f, -0.914209755703530690f, 0.393992040061048100f, -0.919113851690057770f,
+  0.382683432365089840f, -0.923879532511286740f, 0.371317193951837600f, -0.928506080473215480f,
+  0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f, -0.937339011912574960f,
+  0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f, -0.945607325380521280f,
+  0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f, -0.953306040354193750f,
+  0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f, -0.960430519415565790f,
+  0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f, -0.966976471044852070f,
+  0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f, -0.972939952205560070f,
+  0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f, -0.978317370719627650f,
+  0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f, -0.983105487431216290f,
+  0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f, -0.987301418157858430f,
+  0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f, -0.990902635427780010f,
+  0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f, -0.993906970002356060f,
+  0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f, -0.996312612182778000f,
+  0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f, -0.998118112900149180f,
+  0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f, -0.999322384588349540f,
+  0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f, -0.999924701839144500f
+};
+
+    const float32_t cos_factors_128[128] = {
+  0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f,
+  0.999077727752645360f,
+  0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f,
+  0.995767414467659820f,
+  0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f,
+  0.990058210262297120f,
+  0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f,
+  0.981963869109555240f,
+  0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f,
+  0.971503890986251780f,
+  0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f,
+  0.958703474895871600f,
+  0.955141168305770780f, 0.951435020969008340f, 0.947585591017741090f,
+  0.943593458161960390f,
+  0.939459223602189920f, 0.935183509938947610f, 0.930766961078983710f,
+  0.926210242138311380f,
+  0.921514039342042010f, 0.916679059921042700f, 0.911706032005429880f,
+  0.906595704514915330f,
+  0.901348847046022030f, 0.895966249756185220f, 0.890448723244757880f,
+  0.884797098430937790f,
+  0.879012226428633530f, 0.873094978418290090f, 0.867046245515692650f,
+  0.860866938637767310f,
+  0.854557988365400530f, 0.848120344803297230f, 0.841554977436898440f,
+  0.834862874986380010f,
+  0.828045045257755800f, 0.821102514991104650f, 0.814036329705948410f,
+  0.806847553543799330f,
+  0.799537269107905010f, 0.792106577300212390f, 0.784556597155575240f,
+  0.776888465673232440f,
+  0.769103337645579700f, 0.761202385484261780f, 0.753186799043612520f,
+  0.745057785441466060f,
+  0.736816568877369900f, 0.728464390448225200f, 0.720002507961381650f,
+  0.711432195745216430f,
+  0.702754744457225300f, 0.693971460889654000f, 0.685083667772700360f,
+  0.676092703575316030f,
+  0.666999922303637470f, 0.657806693297078640f, 0.648514401022112550f,
+  0.639124444863775730f,
+  0.629638238914927100f, 0.620057211763289210f, 0.610382806276309480f,
+  0.600616479383868970f,
+  0.590759701858874280f, 0.580813958095764530f, 0.570780745886967370f,
+  0.560661576197336030f,
+  0.550457972936604810f, 0.540171472729892970f, 0.529803624686294830f,
+  0.519355990165589530f,
+  0.508830142543106990f, 0.498227666972781870f, 0.487550160148436050f,
+  0.476799230063322250f,
+  0.465976495767966130f, 0.455083587126343840f, 0.444122144570429260f,
+  0.433093818853152010f,
+  0.422000270799799790f, 0.410843171057903910f, 0.399624199845646790f,
+  0.388345046698826300f,
+  0.377007410216418310f, 0.365612997804773960f, 0.354163525420490510f,
+  0.342660717311994380f,
+  0.331106305759876430f, 0.319502030816015750f, 0.307849640041534980f,
+  0.296150888243623960f,
+  0.284407537211271820f, 0.272621355449948980f, 0.260794117915275570f,
+  0.248927605745720260f,
+  0.237023605994367340f, 0.225083911359792780f, 0.213110319916091360f,
+  0.201104634842091960f,
+  0.189068664149806280f, 0.177004220412148860f, 0.164913120489970090f,
+  0.152797185258443410f,
+  0.140658239332849240f, 0.128498110793793220f, 0.116318630911904880f,
+  0.104121633872054730f,
+  0.091908956497132696f, 0.079682437971430126f, 0.067443919563664106f,
+  0.055195244349690031f,
+  0.042938256934940959f, 0.030674803176636581f, 0.018406729905804820f,
+  0.006135884649154515f
+};
+
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_512)
+    const float32_t Weights_512[1024] = {
+  1.000000000000000000f,  0.000000000000000000f, 0.999995293809576190f, -0.003067956762965976f,
+  0.999981175282601110f, -0.006135884649154475f, 0.999957644551963900f, -0.009203754782059819f,
+  0.999924701839144500f, -0.012271538285719925f, 0.999882347454212560f, -0.015339206284988100f,
+  0.999830581795823400f, -0.018406729905804820f, 0.999769405351215280f, -0.021474080275469508f,
+  0.999698818696204250f, -0.024541228522912288f, 0.999618822495178640f, -0.027608145778965740f,
+  0.999529417501093140f, -0.030674803176636626f, 0.999430604555461730f, -0.033741171851377580f,
+  0.999322384588349540f, -0.036807222941358832f, 0.999204758618363890f, -0.039872927587739811f,
+  0.999077727752645360f, -0.042938256934940820f, 0.998941293186856870f, -0.046003182130914623f,
+  0.998795456205172410f, -0.049067674327418015f, 0.998640218180265270f, -0.052131704680283324f,
+  0.998475580573294770f, -0.055195244349689934f, 0.998301544933892890f, -0.058258264500435752f,
+  0.998118112900149180f, -0.061320736302208578f, 0.997925286198596000f, -0.064382630929857465f,
+  0.997723066644191640f, -0.067443919563664051f, 0.997511456140303450f, -0.070504573389613856f,
+  0.997290456678690210f, -0.073564563599667426f, 0.997060070339482960f, -0.076623861392031492f,
+  0.996820299291165670f, -0.079682437971430126f, 0.996571145790554840f, -0.082740264549375692f,
+  0.996312612182778000f, -0.085797312344439894f, 0.996044700901251970f, -0.088853552582524600f,
+  0.995767414467659820f, -0.091908956497132724f, 0.995480755491926940f, -0.094963495329638992f,
+  0.995184726672196930f, -0.098017140329560604f, 0.994879330794805620f, -0.101069862754827820f,
+  0.994564570734255420f, -0.104121633872054590f, 0.994240449453187900f, -0.107172424956808840f,
+  0.993906970002356060f, -0.110222207293883060f, 0.993564135520595300f, -0.113270952177564350f,
+  0.993211949234794500f, -0.116318630911904750f, 0.992850414459865100f, -0.119365214810991350f,
+  0.992479534598709970f, -0.122410675199216200f, 0.992099313142191800f, -0.125454983411546230f,
+  0.991709753669099530f, -0.128498110793793170f, 0.991310859846115440f, -0.131540028702883120f,
+  0.990902635427780010f, -0.134580708507126170f, 0.990485084256457090f, -0.137620121586486040f,
+  0.990058210262297120f, -0.140658239332849210f, 0.989622017463200890f, -0.143695033150294470f,
+  0.989176509964781010f, -0.146730474455361750f, 0.988721691960323780f, -0.149764534677321510f,
+  0.988257567730749460f, -0.152797185258443440f, 0.987784141644572180f, -0.155828397654265230f,
+  0.987301418157858430f, -0.158858143333861450f, 0.986809401814185530f, -0.161886393780111830f,
+  0.986308097244598670f, -0.164913120489969890f, 0.985797509167567480f, -0.167938294974731170f,
+  0.985277642388941220f, -0.170961888760301220f, 0.984748501801904210f, -0.173983873387463820f,
+  0.984210092386929030f, -0.177004220412148750f, 0.983662419211730250f, -0.180022901405699510f,
+  0.983105487431216290f, -0.183039887955140950f, 0.982539302287441240f, -0.186055151663446630f,
+  0.981963869109555240f, -0.189068664149806190f, 0.981379193313754560f, -0.192080397049892440f,
+  0.980785280403230430f, -0.195090322016128250f, 0.980182135968117430f, -0.198098410717953560f,
+  0.979569765685440520f, -0.201104634842091900f, 0.978948175319062200f, -0.204108966092816870f,
+  0.978317370719627650f, -0.207111376192218560f, 0.977677357824509930f, -0.210111836880469610f,
+  0.977028142657754390f, -0.213110319916091360f, 0.976369731330021140f, -0.216106797076219520f,
+  0.975702130038528570f, -0.219101240156869800f, 0.975025345066994120f, -0.222093620973203510f,
+  0.974339382785575860f, -0.225083911359792830f, 0.973644249650811980f, -0.228072083170885730f,
+  0.972939952205560180f, -0.231058108280671110f, 0.972226497078936270f, -0.234041958583543430f,
+  0.971503890986251780f, -0.237023605994367200f, 0.970772140728950350f, -0.240003022448741500f,
+  0.970031253194543970f, -0.242980179903263870f, 0.969281235356548530f, -0.245955050335794590f,
+  0.968522094274417380f, -0.248927605745720150f, 0.967753837093475510f, -0.251897818154216970f,
+  0.966976471044852070f, -0.254865659604514570f, 0.966190003445412500f, -0.257831102162158990f,
+  0.965394441697689400f, -0.260794117915275510f, 0.964589793289812760f, -0.263754678974831350f,
+  0.963776065795439840f, -0.266712757474898370f, 0.962953266873683880f, -0.269668325572915090f,
+  0.962121404269041580f, -0.272621355449948980f, 0.961280485811320640f, -0.275571819310958140f,
+  0.960430519415565790f, -0.278519689385053060f, 0.959571513081984520f, -0.281464937925757940f,
+  0.958703474895871600f, -0.284407537211271880f, 0.957826413027532910f, -0.287347459544729510f,
+  0.956940335732208820f, -0.290284677254462330f, 0.956045251349996410f, -0.293219162694258630f,
+  0.955141168305770780f, -0.296150888243623790f, 0.954228095109105670f, -0.299079826308040480f,
+  0.953306040354193860f, -0.302005949319228080f, 0.952375012719765880f, -0.304929229735402370f,
+  0.951435020969008340f, -0.307849640041534870f, 0.950486073949481700f, -0.310767152749611470f,
+  0.949528180593036670f, -0.313681740398891520f, 0.948561349915730270f, -0.316593375556165850f,
+  0.947585591017741090f, -0.319502030816015690f, 0.946600913083283530f, -0.322407678801069850f,
+  0.945607325380521280f, -0.325310292162262930f, 0.944604837261480260f, -0.328209843579092500f,
+  0.943593458161960390f, -0.331106305759876430f, 0.942573197601446870f, -0.333999651442009380f,
+  0.941544065183020810f, -0.336889853392220050f, 0.940506070593268300f, -0.339776884406826850f,
+  0.939459223602189920f, -0.342660717311994380f, 0.938403534063108060f, -0.345541324963989090f,
+  0.937339011912574960f, -0.348418680249434560f, 0.936265667170278260f, -0.351292756085567090f,
+  0.935183509938947610f, -0.354163525420490340f, 0.934092550404258980f, -0.357030961233429980f,
+  0.932992798834738960f, -0.359895036534988110f, 0.931884265581668150f, -0.362755724367397230f,
+  0.930766961078983710f, -0.365612997804773850f, 0.929640895843181330f, -0.368466829953372320f,
+  0.928506080473215590f, -0.371317193951837540f, 0.927362525650401110f, -0.374164062971457930f,
+  0.926210242138311380f, -0.377007410216418260f, 0.925049240782677580f, -0.379847208924051160f,
+  0.923879532511286740f, -0.382683432365089780f, 0.922701128333878630f, -0.385516053843918850f,
+  0.921514039342042010f, -0.388345046698826250f, 0.920318276709110590f, -0.391170384302253870f,
+  0.919113851690057770f, -0.393992040061048100f, 0.917900775621390500f, -0.396809987416710310f,
+  0.916679059921042700f, -0.399624199845646790f, 0.915448716088267830f, -0.402434650859418430f,
+  0.914209755703530690f, -0.405241314004989860f, 0.912962190428398210f, -0.408044162864978690f,
+  0.911706032005429880f, -0.410843171057903910f, 0.910441292258067250f, -0.413638312238434500f,
+  0.909167983090522380f, -0.416429560097637150f, 0.907886116487666260f, -0.419216888363223910f,
+  0.906595704514915330f, -0.422000270799799680f, 0.905296759318118820f, -0.424779681209108810f,
+  0.903989293123443340f, -0.427555093430282080f, 0.902673318237258830f, -0.430326481340082610f,
+  0.901348847046022030f, -0.433093818853151960f, 0.900015892016160280f, -0.435857079922255470f,
+  0.898674465693953820f, -0.438616238538527660f, 0.897324580705418320f, -0.441371268731716670f,
+  0.895966249756185220f, -0.444122144570429200f, 0.894599485631382700f, -0.446868840162374160f,
+  0.893224301195515320f, -0.449611329654606540f, 0.891840709392342720f, -0.452349587233770890f,
+  0.890448723244757880f, -0.455083587126343840f, 0.889048355854664570f, -0.457813303598877170f,
+  0.887639620402853930f, -0.460538710958240010f, 0.886222530148880640f, -0.463259783551860150f,
+  0.884797098430937790f, -0.465976495767966180f, 0.883363338665731580f, -0.468688822035827900f,
+  0.881921264348355050f, -0.471396736825997640f, 0.880470889052160750f, -0.474100214650549970f,
+  0.879012226428633530f, -0.476799230063322090f, 0.877545290207261350f, -0.479493757660153010f,
+  0.876070094195406600f, -0.482183772079122720f, 0.874586652278176110f, -0.484869248000791060f,
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+  0.116318630911904880f, -0.993211949234794500f, 0.113270952177564360f, -0.993564135520595300f,
+  0.110222207293883180f, -0.993906970002356060f, 0.107172424956808870f, -0.994240449453187900f,
+  0.104121633872054730f, -0.994564570734255420f, 0.101069862754827880f, -0.994879330794805620f,
+  0.098017140329560770f, -0.995184726672196820f, 0.094963495329639061f, -0.995480755491926940f,
+  0.091908956497132696f, -0.995767414467659820f, 0.088853552582524684f, -0.996044700901251970f,
+  0.085797312344439880f, -0.996312612182778000f, 0.082740264549375803f, -0.996571145790554840f,
+  0.079682437971430126f, -0.996820299291165670f, 0.076623861392031617f, -0.997060070339482960f,
+  0.073564563599667454f, -0.997290456678690210f, 0.070504573389614009f, -0.997511456140303450f,
+  0.067443919563664106f, -0.997723066644191640f, 0.064382630929857410f, -0.997925286198596000f,
+  0.061320736302208648f, -0.998118112900149180f, 0.058258264500435732f, -0.998301544933892890f,
+  0.055195244349690031f, -0.998475580573294770f, 0.052131704680283317f, -0.998640218180265270f,
+  0.049067674327418126f, -0.998795456205172410f, 0.046003182130914644f, -0.998941293186856870f,
+  0.042938256934940959f, -0.999077727752645360f, 0.039872927587739845f, -0.999204758618363890f,
+  0.036807222941358991f, -0.999322384588349540f, 0.033741171851377642f, -0.999430604555461730f,
+  0.030674803176636581f, -0.999529417501093140f, 0.027608145778965820f, -0.999618822495178640f,
+  0.024541228522912264f, -0.999698818696204250f, 0.021474080275469605f, -0.999769405351215280f,
+  0.018406729905804820f, -0.999830581795823400f, 0.015339206284988220f, -0.999882347454212560f,
+  0.012271538285719944f, -0.999924701839144500f, 0.009203754782059960f, -0.999957644551963900f,
+  0.006135884649154515f, -0.999981175282601110f, 0.003067956762966138f, -0.999995293809576190f
+};
+
+    const float32_t cos_factors_512[512] = {
+  0.999998823451701880f, 0.999989411081928400f, 0.999970586430974140f,
+  0.999942349676023910f,
+  0.999904701082852900f, 0.999857641005823860f, 0.999801169887884260f,
+  0.999735288260561680f,
+  0.999659996743959220f, 0.999575296046749220f, 0.999481186966166950f,
+  0.999377670388002850f,
+  0.999264747286594420f, 0.999142418724816910f, 0.999010685854073380f,
+  0.998869549914283560f,
+  0.998719012233872940f, 0.998559074229759310f, 0.998389737407340160f,
+  0.998211003360478190f,
+  0.998022873771486240f, 0.997825350411111640f, 0.997618435138519550f,
+  0.997402129901275300f,
+  0.997176436735326190f, 0.996941357764982160f, 0.996696895202896060f,
+  0.996443051350042630f,
+  0.996179828595696980f, 0.995907229417411720f, 0.995625256380994310f,
+  0.995333912140482280f,
+  0.995033199438118630f, 0.994723121104325700f, 0.994403680057679100f,
+  0.994074879304879370f,
+  0.993736721940724600f, 0.993389211148080650f, 0.993032350197851410f,
+  0.992666142448948020f,
+  0.992290591348257370f, 0.991905700430609330f, 0.991511473318743900f,
+  0.991107913723276890f,
+  0.990695025442664630f, 0.990272812363169110f, 0.989841278458820530f,
+  0.989400427791380380f,
+  0.988950264510302990f, 0.988490792852696590f, 0.988022017143283530f,
+  0.987543941794359230f,
+  0.987056571305750970f, 0.986559910264775410f, 0.986053963346195440f,
+  0.985538735312176060f,
+  0.985014231012239840f, 0.984480455383220930f, 0.983937413449218920f,
+  0.983385110321551180f,
+  0.982823551198705240f, 0.982252741366289370f, 0.981672686196983110f,
+  0.981083391150486710f,
+  0.980484861773469380f, 0.979877103699517640f, 0.979260122649082020f,
+  0.978633924429423210f,
+  0.977998514934557140f, 0.977353900145199960f, 0.976700086128711840f,
+  0.976037079039039020f,
+  0.975364885116656980f, 0.974683510688510670f, 0.973992962167955830f,
+  0.973293246054698250f,
+  0.972584368934732210f, 0.971866337480279400f, 0.971139158449725090f,
+  0.970402838687555500f,
+  0.969657385124292450f, 0.968902804776428870f, 0.968139104746362440f,
+  0.967366292222328510f,
+  0.966584374478333120f, 0.965793358874083680f, 0.964993252854920320f,
+  0.964184063951745830f,
+  0.963365799780954050f, 0.962538468044359160f, 0.961702076529122540f,
+  0.960856633107679660f,
+  0.960002145737665960f, 0.959138622461841890f, 0.958266071408017670f,
+  0.957384500788975860f,
+  0.956493918902395100f, 0.955594334130771110f, 0.954685754941338340f,
+  0.953768189885990330f,
+  0.952841647601198720f, 0.951906136807932350f, 0.950961666311575080f,
+  0.950008245001843000f,
+  0.949045881852700560f, 0.948074585922276230f, 0.947094366352777220f,
+  0.946105232370403450f,
+  0.945107193285260610f, 0.944100258491272660f, 0.943084437466093490f,
+  0.942059739771017310f,
+  0.941026175050889260f, 0.939983753034014050f, 0.938932483532064600f,
+  0.937872376439989890f,
+  0.936803441735921560f, 0.935725689481080370f, 0.934639129819680780f,
+  0.933543772978836170f,
+  0.932439629268462360f, 0.931326709081180430f, 0.930205022892219070f,
+  0.929074581259315860f,
+  0.927935394822617890f, 0.926787474304581750f, 0.925630830509872720f,
+  0.924465474325262600f,
+  0.923291416719527640f, 0.922108668743345180f, 0.920917241529189520f,
+  0.919717146291227360f,
+  0.918508394325212250f, 0.917290997008377910f, 0.916064965799331720f,
+  0.914830312237946200f,
+  0.913587047945250810f, 0.912335184623322750f, 0.911074734055176360f,
+  0.909805708104652220f,
+  0.908528118716306120f, 0.907241977915295820f, 0.905947297807268460f,
+  0.904644090578246240f,
+  0.903332368494511820f, 0.902012143902493180f, 0.900683429228646970f,
+  0.899346236979341570f,
+  0.898000579740739880f, 0.896646470178680150f, 0.895283921038557580f,
+  0.893912945145203250f,
+  0.892533555402764580f, 0.891145764794583180f, 0.889749586383072780f,
+  0.888345033309596350f,
+  0.886932118794342190f, 0.885510856136199950f, 0.884081258712634990f,
+  0.882643339979562790f,
+  0.881197113471222090f, 0.879742592800047410f, 0.878279791656541580f,
+  0.876808723809145650f,
+  0.875329403104110890f, 0.873841843465366860f, 0.872346058894391540f,
+  0.870842063470078980f,
+  0.869329871348606840f, 0.867809496763303320f, 0.866280954024512990f,
+  0.864744257519462380f,
+  0.863199421712124160f, 0.861646461143081300f, 0.860085390429390140f,
+  0.858516224264442740f,
+  0.856938977417828760f, 0.855353664735196030f, 0.853760301138111410f,
+  0.852158901623919830f,
+  0.850549481265603480f, 0.848932055211639610f, 0.847306638685858320f,
+  0.845673246987299070f,
+  0.844031895490066410f, 0.842382599643185850f, 0.840725374970458070f,
+  0.839060237070312740f,
+  0.837387201615661940f, 0.835706284353752600f, 0.834017501106018130f,
+  0.832320867767929680f,
+  0.830616400308846310f, 0.828904114771864870f, 0.827184027273669130f,
+  0.825456154004377550f,
+  0.823720511227391430f, 0.821977115279241550f, 0.820225982569434690f,
+  0.818467129580298660f,
+  0.816700572866827850f, 0.814926329056526620f, 0.813144414849253590f,
+  0.811354847017063730f,
+  0.809557642404051260f, 0.807752817926190360f, 0.805940390571176280f,
+  0.804120377398265810f,
+  0.802292795538115720f, 0.800457662192622820f, 0.798614994634760820f,
+  0.796764810208418830f,
+  0.794907126328237010f, 0.793041960479443640f, 0.791169330217690200f,
+  0.789289253168885650f,
+  0.787401747029031430f, 0.785506829564053930f, 0.783604518609638200f,
+  0.781694832071059390f,
+  0.779777787923014550f, 0.777853404209453150f, 0.775921699043407690f,
+  0.773982690606822900f,
+  0.772036397150384520f, 0.770082836993347900f, 0.768122028523365420f,
+  0.766153990196312920f,
+  0.764178740536116670f, 0.762196298134578900f, 0.760206681651202420f,
+  0.758209909813015280f,
+  0.756206001414394540f, 0.754194975316889170f, 0.752176850449042810f,
+  0.750151645806215070f,
+  0.748119380450403600f, 0.746080073510063780f, 0.744033744179929290f,
+  0.741980411720831070f,
+  0.739920095459516200f, 0.737852814788465980f, 0.735778589165713590f,
+  0.733697438114660370f,
+  0.731609381223892630f, 0.729514438146997010f, 0.727412628602375770f,
+  0.725303972373060770f,
+  0.723188489306527460f, 0.721066199314508110f, 0.718937122372804490f,
+  0.716801278521099540f,
+  0.714658687862769090f, 0.712509370564692320f, 0.710353346857062420f,
+  0.708190637033195400f,
+  0.706021261449339740f, 0.703845240524484940f, 0.701662594740168570f,
+  0.699473344640283770f,
+  0.697277510830886630f, 0.695075113980000880f, 0.692866174817424740f,
+  0.690650714134534720f,
+  0.688428752784090550f, 0.686200311680038700f, 0.683965411797315510f,
+  0.681724074171649820f,
+  0.679476319899365080f, 0.677222170137180450f, 0.674961646102012040f,
+  0.672694769070772970f,
+  0.670421560380173090f, 0.668142041426518560f, 0.665856233665509720f,
+  0.663564158612039880f,
+  0.661265837839992270f, 0.658961292982037320f, 0.656650545729429050f,
+  0.654333617831800550f,
+  0.652010531096959500f, 0.649681307390683190f, 0.647345968636512060f,
+  0.645004536815544040f,
+  0.642657033966226860f, 0.640303482184151670f, 0.637943903621844170f,
+  0.635578320488556230f,
+  0.633206755050057190f, 0.630829229628424470f, 0.628445766601832710f,
+  0.626056388404343520f,
+  0.623661117525694640f, 0.621259976511087660f, 0.618852987960976320f,
+  0.616440174530853650f,
+  0.614021558931038490f, 0.611597163926462020f, 0.609167012336453210f,
+  0.606731127034524480f,
+  0.604289530948156070f, 0.601842247058580030f, 0.599389298400564540f,
+  0.596930708062196500f,
+  0.594466499184664540f, 0.591996694962040990f, 0.589521318641063940f,
+  0.587040393520918080f,
+  0.584553942953015330f, 0.582061990340775550f, 0.579564559139405740f,
+  0.577061672855679550f,
+  0.574553355047715760f, 0.572039629324757050f, 0.569520519346947250f,
+  0.566996048825108680f,
+  0.564466241520519500f, 0.561931121244689470f, 0.559390711859136140f,
+  0.556845037275160100f,
+  0.554294121453620110f, 0.551737988404707450f, 0.549176662187719770f,
+  0.546610166910834860f,
+  0.544038526730883930f, 0.541461765853123560f, 0.538879908531008420f,
+  0.536292979065963180f,
+  0.533701001807152960f, 0.531104001151255000f, 0.528502001542228480f,
+  0.525895027471084740f,
+  0.523283103475656430f, 0.520666254140367270f, 0.518044504095999340f,
+  0.515417878019463150f,
+  0.512786400633563070f, 0.510150096706766700f, 0.507508991052970870f,
+  0.504863108531267480f,
+  0.502212474045710900f, 0.499557112545081890f, 0.496897049022654640f,
+  0.494232308515959730f,
+  0.491562916106550060f, 0.488888896919763230f, 0.486210276124486530f,
+  0.483527078932918740f,
+  0.480839330600333900f, 0.478147056424843120f, 0.475450281747155870f,
+  0.472749031950342900f,
+  0.470043332459595620f, 0.467333208741988530f, 0.464618686306237820f,
+  0.461899790702462840f,
+  0.459176547521944150f, 0.456448982396883860f, 0.453717121000163930f,
+  0.450980989045103810f,
+  0.448240612285220000f, 0.445496016513981740f, 0.442747227564570130f,
+  0.439994271309633260f,
+  0.437237173661044200f, 0.434475960569655710f, 0.431710658025057370f,
+  0.428941292055329550f,
+  0.426167888726799620f, 0.423390474143796100f, 0.420609074448402510f,
+  0.417823715820212380f,
+  0.415034424476081630f, 0.412241226669883000f, 0.409444148692257590f,
+  0.406643216870369140f,
+  0.403838457567654130f, 0.401029897183575790f, 0.398217562153373620f,
+  0.395401478947816300f,
+  0.392581674072951530f, 0.389758174069856410f, 0.386931005514388690f,
+  0.384100195016935040f,
+  0.381265769222162490f, 0.378427754808765620f, 0.375586178489217330f,
+  0.372741067009515810f,
+  0.369892447148934270f, 0.367040345719767240f, 0.364184789567079840f,
+  0.361325805568454340f,
+  0.358463420633736540f, 0.355597661704783960f, 0.352728555755210730f,
+  0.349856129790135030f,
+  0.346980410845923680f, 0.344101425989938980f, 0.341219202320282410f,
+  0.338333766965541290f,
+  0.335445147084531660f, 0.332553369866044220f, 0.329658462528587550f,
+  0.326760452320131790f,
+  0.323859366517852960f, 0.320955232427875210f, 0.318048077385015060f,
+  0.315137928752522440f,
+  0.312224813921825050f, 0.309308760312268780f, 0.306389795370861080f,
+  0.303467946572011370f,
+  0.300543241417273400f, 0.297615707435086310f, 0.294685372180514330f,
+  0.291752263234989370f,
+  0.288816408206049480f, 0.285877834727080730f, 0.282936570457055390f,
+  0.279992643080273380f,
+  0.277046080306099950f, 0.274096909868706330f, 0.271145159526808070f,
+  0.268190857063403180f,
+  0.265234030285511900f, 0.262274707023913590f, 0.259312915132886350f,
+  0.256348682489942910f,
+  0.253382036995570270f, 0.250413006572965280f, 0.247441619167773440f,
+  0.244467902747824210f,
+  0.241491885302869300f, 0.238513594844318500f, 0.235533059404975460f,
+  0.232550307038775330f,
+  0.229565365820518870f, 0.226578263845610110f, 0.223589029229790020f,
+  0.220597690108873650f,
+  0.217604274638483670f, 0.214608810993786920f, 0.211611327369227610f,
+  0.208611851978263460f,
+  0.205610413053099320f, 0.202607038844421110f, 0.199601757621131050f,
+  0.196594597670080220f,
+  0.193585587295803750f, 0.190574754820252800f, 0.187562128582529740f,
+  0.184547736938619640f,
+  0.181531608261125130f, 0.178513770938997590f, 0.175494253377271400f,
+  0.172473083996796030f,
+  0.169450291233967930f, 0.166425903540464220f, 0.163399949382973230f,
+  0.160372457242928400f,
+  0.157343455616238280f, 0.154312973013020240f, 0.151281037957330250f,
+  0.148247678986896200f,
+  0.145212924652847520f, 0.142176803519448000f, 0.139139344163826280f,
+  0.136100575175706200f,
+  0.133060525157139180f, 0.130019222722233350f, 0.126976696496885980f,
+  0.123932975118512200f,
+  0.120888087235777220f, 0.117842061508325020f, 0.114794926606510250f,
+  0.111746711211126660f,
+  0.108697444013138670f, 0.105647153713410700f, 0.102595869022436280f,
+  0.099543618660069444f,
+  0.096490431355252607f, 0.093436335845747912f, 0.090381360877865011f,
+  0.087325535206192226f,
+  0.084268887593324127f, 0.081211446809592386f, 0.078153241632794315f,
+  0.075094300847921291f,
+  0.072034653246889416f, 0.068974327628266732f, 0.065913352797003930f,
+  0.062851757564161420f,
+  0.059789570746640007f, 0.056726821166907783f, 0.053663537652730679f,
+  0.050599749036899337f,
+  0.047535484156959261f, 0.044470771854938744f, 0.041405640977076712f,
+  0.038340120373552791f,
+  0.035274238898213947f, 0.032208025408304704f, 0.029141508764193740f,
+  0.026074717829104040f,
+  0.023007681468839410f, 0.019940428551514598f, 0.016872987947281773f,
+  0.013805388528060349f,
+  0.010737659167264572f, 0.007669828739531077f, 0.004601926120448672f,
+  0.001533980186284766f
+};
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_2048)
+    const float32_t Weights_2048[4096] = {
+  1.000000000000000000f, 0.000000000000000000f, 0.999999705862882230f,  -0.000766990318742704f,
+  0.999998823451701880f, -0.001533980186284766f, 0.999997352766978210f,  -0.002300969151425805f,
+  0.999995293809576190f, -0.003067956762965976f, 0.999992646580707190f,  -0.003834942569706228f,
+  0.999989411081928400f, -0.004601926120448571f, 0.999985587315143200f,  -0.005368906963996343f,
+  0.999981175282601110f, -0.006135884649154475f, 0.999976174986897610f,  -0.006902858724729756f,
+  0.999970586430974140f, -0.007669828739531097f, 0.999964409618118280f,  -0.008436794242369799f,
+  0.999957644551963900f, -0.009203754782059819f, 0.999950291236490480f,  -0.009970709907418031f,
+  0.999942349676023910f, -0.010737659167264491f, 0.999933819875236000f,  -0.011504602110422714f,
+  0.999924701839144500f, -0.012271538285719925f, 0.999914995573113470f,  -0.013038467241987334f,
+  0.999904701082852900f, -0.013805388528060391f, 0.999893818374418490f,  -0.014572301692779064f,
+  0.999882347454212560f, -0.015339206284988100f, 0.999870288328982950f,  -0.016106101853537287f,
+  0.999857641005823860f, -0.016872987947281710f, 0.999844405492175240f,  -0.017639864115082053f,
+  0.999830581795823400f, -0.018406729905804820f, 0.999816169924900410f,  -0.019173584868322623f,
+  0.999801169887884260f, -0.019940428551514441f, 0.999785581693599210f,  -0.020707260504265895f,
+  0.999769405351215280f, -0.021474080275469508f, 0.999752640870248840f,  -0.022240887414024961f,
+  0.999735288260561680f, -0.023007681468839369f, 0.999717347532362190f,  -0.023774461988827555f,
+  0.999698818696204250f, -0.024541228522912288f, 0.999679701762987930f,  -0.025307980620024571f,
+  0.999659996743959220f, -0.026074717829103901f, 0.999639703650710200f,  -0.026841439699098531f,
+  0.999618822495178640f, -0.027608145778965740f, 0.999597353289648380f,  -0.028374835617672099f,
+  0.999575296046749220f, -0.029141508764193722f, 0.999552650779456990f,  -0.029908164767516555f,
+  0.999529417501093140f, -0.030674803176636626f, 0.999505596225325310f,  -0.031441423540560301f,
+  0.999481186966166950f, -0.032208025408304586f, 0.999456189737977340f,  -0.032974608328897335f,
+  0.999430604555461730f, -0.033741171851377580f, 0.999404431433671300f,  -0.034507715524795750f,
+  0.999377670388002850f, -0.035274238898213947f, 0.999350321434199440f,  -0.036040741520706229f,
+  0.999322384588349540f, -0.036807222941358832f, 0.999293859866887790f,  -0.037573682709270494f,
+  0.999264747286594420f, -0.038340120373552694f, 0.999235046864595850f,  -0.039106535483329888f,
+  0.999204758618363890f, -0.039872927587739811f, 0.999173882565716380f,  -0.040639296235933736f,
+  0.999142418724816910f, -0.041405640977076739f, 0.999110367114174890f,  -0.042171961360347947f,
+  0.999077727752645360f, -0.042938256934940820f, 0.999044500659429290f,  -0.043704527250063421f,
+  0.999010685854073380f, -0.044470771854938668f, 0.998976283356469820f,  -0.045236990298804590f,
+  0.998941293186856870f, -0.046003182130914623f, 0.998905715365818290f,  -0.046769346900537863f,
+  0.998869549914283560f, -0.047535484156959303f, 0.998832796853527990f,  -0.048301593449480144f,
+  0.998795456205172410f, -0.049067674327418015f, 0.998757527991183340f,  -0.049833726340107277f,
+  0.998719012233872940f, -0.050599749036899282f, 0.998679908955899090f,  -0.051365741967162593f,
+  0.998640218180265270f, -0.052131704680283324f, 0.998599939930320370f,  -0.052897636725665324f,
+  0.998559074229759310f, -0.053663537652730520f, 0.998517621102622210f,  -0.054429407010919133f,
+  0.998475580573294770f, -0.055195244349689934f, 0.998432952666508440f,  -0.055961049218520569f,
+  0.998389737407340160f, -0.056726821166907748f, 0.998345934821212370f,  -0.057492559744367566f,
+  0.998301544933892890f, -0.058258264500435752f, 0.998256567771495180f,  -0.059023934984667931f,
+  0.998211003360478190f, -0.059789570746639868f, 0.998164851727646240f,  -0.060555171335947788f,
+  0.998118112900149180f, -0.061320736302208578f, 0.998070786905482340f,  -0.062086265195060088f,
+  0.998022873771486240f, -0.062851757564161406f, 0.997974373526346990f,  -0.063617212959193106f,
+  0.997925286198596000f, -0.064382630929857465f, 0.997875611817110150f,  -0.065148011025878833f,
+  0.997825350411111640f, -0.065913352797003805f, 0.997774502010167820f,  -0.066678655793001557f,
+  0.997723066644191640f, -0.067443919563664051f, 0.997671044343441000f,  -0.068209143658806329f,
+  0.997618435138519550f, -0.068974327628266746f, 0.997565239060375750f,  -0.069739471021907307f,
+  0.997511456140303450f, -0.070504573389613856f, 0.997457086409941910f,  -0.071269634281296401f,
+  0.997402129901275300f, -0.072034653246889332f, 0.997346586646633230f,  -0.072799629836351673f,
+  0.997290456678690210f, -0.073564563599667426f, 0.997233740030466280f,  -0.074329454086845756f,
+  0.997176436735326190f, -0.075094300847921305f, 0.997118546826979980f,  -0.075859103432954447f,
+  0.997060070339482960f, -0.076623861392031492f, 0.997001007307235290f,  -0.077388574275265049f,
+  0.996941357764982160f, -0.078153241632794232f, 0.996881121747813850f,  -0.078917863014784942f,
+  0.996820299291165670f, -0.079682437971430126f, 0.996758890430818000f,  -0.080446966052950014f,
+  0.996696895202896060f, -0.081211446809592441f, 0.996634313643869900f,  -0.081975879791633066f,
+  0.996571145790554840f, -0.082740264549375692f, 0.996507391680110820f,  -0.083504600633152432f,
+  0.996443051350042630f, -0.084268887593324071f, 0.996378124838200210f,  -0.085033124980280275f,
+  0.996312612182778000f, -0.085797312344439894f, 0.996246513422315520f,  -0.086561449236251170f,
+  0.996179828595696980f, -0.087325535206192059f, 0.996112557742151130f,  -0.088089569804770507f,
+  0.996044700901251970f, -0.088853552582524600f, 0.995976258112917790f,  -0.089617483090022959f,
+  0.995907229417411720f, -0.090381360877864983f, 0.995837614855341610f,  -0.091145185496681005f,
+  0.995767414467659820f, -0.091908956497132724f, 0.995696628295663520f,  -0.092672673429913310f,
+  0.995625256380994310f, -0.093436335845747787f, 0.995553298765638470f,  -0.094199943295393204f,
+  0.995480755491926940f, -0.094963495329638992f, 0.995407626602534900f,  -0.095726991499307162f,
+  0.995333912140482280f, -0.096490431355252593f, 0.995259612149133390f,  -0.097253814448363271f,
+  0.995184726672196930f, -0.098017140329560604f, 0.995109255753726110f,  -0.098780408549799623f,
+  0.995033199438118630f, -0.099543618660069319f, 0.994956557770116380f,  -0.100306770211392860f,
+  0.994879330794805620f, -0.101069862754827820f, 0.994801518557617110f,  -0.101832895841466530f,
+  0.994723121104325700f, -0.102595869022436280f, 0.994644138481050710f,  -0.103358781848899610f,
+  0.994564570734255420f, -0.104121633872054590f, 0.994484417910747600f,  -0.104884424643134970f,
+  0.994403680057679100f, -0.105647153713410620f, 0.994322357222545810f,  -0.106409820634187680f,
+  0.994240449453187900f, -0.107172424956808840f, 0.994157956797789730f,  -0.107934966232653650f,
+  0.994074879304879370f, -0.108697444013138720f, 0.993991217023329380f,  -0.109459857849717980f,
+  0.993906970002356060f, -0.110222207293883060f, 0.993822138291519660f,  -0.110984491897163390f,
+  0.993736721940724600f, -0.111746711211126590f, 0.993650721000219120f,  -0.112508864787378690f,
+  0.993564135520595300f, -0.113270952177564350f, 0.993476965552789190f,  -0.114032972933367200f,
+  0.993389211148080650f, -0.114794926606510080f, 0.993300872358093280f,  -0.115556812748755260f,
+  0.993211949234794500f, -0.116318630911904750f, 0.993122441830495580f,  -0.117080380647800590f,
+  0.993032350197851410f, -0.117842061508324980f, 0.992941674389860470f,  -0.118603673045400720f,
+  0.992850414459865100f, -0.119365214810991350f, 0.992758570461551140f,  -0.120126686357101500f,
+  0.992666142448948020f, -0.120888087235777080f, 0.992573130476428810f,  -0.121649416999105530f,
+  0.992479534598709970f, -0.122410675199216200f, 0.992385354870851670f,  -0.123171861388280480f,
+  0.992290591348257370f, -0.123932975118512160f, 0.992195244086673920f,  -0.124694015942167640f,
+  0.992099313142191800f, -0.125454983411546230f, 0.992002798571244520f,  -0.126215877078990350f,
+  0.991905700430609330f, -0.126976696496885870f, 0.991808018777406430f,  -0.127737441217662310f,
+  0.991709753669099530f, -0.128498110793793170f, 0.991610905163495370f,  -0.129258704777796140f,
+  0.991511473318743900f, -0.130019222722233350f, 0.991411458193338540f,  -0.130779664179711710f,
+  0.991310859846115440f, -0.131540028702883120f, 0.991209678336254060f,  -0.132300315844444650f,
+  0.991107913723276890f, -0.133060525157139060f, 0.991005566067049370f,  -0.133820656193754720f,
+  0.990902635427780010f, -0.134580708507126170f, 0.990799121866020370f,  -0.135340681650134210f,
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+  0.032208025408304704f, -0.999481186966166950f, 0.031441423540560343f,
+  -0.999505596225325310f,
+  0.030674803176636581f, -0.999529417501093140f, 0.029908164767516655f,
+  -0.999552650779456990f,
+  0.029141508764193740f, -0.999575296046749220f, 0.028374835617672258f,
+  -0.999597353289648380f,
+  0.027608145778965820f, -0.999618822495178640f, 0.026841439699098527f,
+  -0.999639703650710200f,
+  0.026074717829104040f, -0.999659996743959220f, 0.025307980620024630f,
+  -0.999679701762987930f,
+  0.024541228522912264f, -0.999698818696204250f, 0.023774461988827676f,
+  -0.999717347532362190f,
+  0.023007681468839410f, -0.999735288260561680f, 0.022240887414024919f,
+  -0.999752640870248840f,
+  0.021474080275469605f, -0.999769405351215280f, 0.020707260504265912f,
+  -0.999785581693599210f,
+  0.019940428551514598f, -0.999801169887884260f, 0.019173584868322699f,
+  -0.999816169924900410f,
+  0.018406729905804820f, -0.999830581795823400f, 0.017639864115082195f,
+  -0.999844405492175240f,
+  0.016872987947281773f, -0.999857641005823860f, 0.016106101853537263f,
+  -0.999870288328982950f,
+  0.015339206284988220f, -0.999882347454212560f, 0.014572301692779104f,
+  -0.999893818374418490f,
+  0.013805388528060349f, -0.999904701082852900f, 0.013038467241987433f,
+  -0.999914995573113470f,
+  0.012271538285719944f, -0.999924701839144500f, 0.011504602110422875f,
+  -0.999933819875236000f,
+  0.010737659167264572f, -0.999942349676023910f, 0.009970709907418029f,
+  -0.999950291236490480f,
+  0.009203754782059960f, -0.999957644551963900f, 0.008436794242369860f,
+  -0.999964409618118280f,
+  0.007669828739531077f, -0.999970586430974140f, 0.006902858724729877f,
+  -0.999976174986897610f,
+  0.006135884649154515f, -0.999981175282601110f, 0.005368906963996303f,
+  -0.999985587315143200f,
+  0.004601926120448672f, -0.999989411081928400f, 0.003834942569706248f,
+  -0.999992646580707190f,
+  0.003067956762966138f, -0.999995293809576190f, 0.002300969151425887f,
+  -0.999997352766978210f,
+  0.001533980186284766f, -0.999998823451701880f, 0.000766990318742846f,
+  -0.999999705862882230f
+};
+    const float32_t cos_factors_2048[2048] = {
+  0.999999926465717890f, 0.999999338191525530f, 0.999998161643486980f,
+  0.999996396822294350f,
+  0.999994043728985820f, 0.999991102364945590f, 0.999987572731904080f,
+  0.999983454831937730f,
+  0.999978748667468830f, 0.999973454241265940f, 0.999967571556443780f,
+  0.999961100616462820f,
+  0.999954041425129780f, 0.999946393986597460f, 0.999938158305364590f,
+  0.999929334386276070f,
+  0.999919922234522750f, 0.999909921855641540f, 0.999899333255515390f,
+  0.999888156440373320f,
+  0.999876391416790410f, 0.999864038191687680f, 0.999851096772332190f,
+  0.999837567166337090f,
+  0.999823449381661570f, 0.999808743426610520f, 0.999793449309835270f,
+  0.999777567040332940f,
+  0.999761096627446610f, 0.999744038080865430f, 0.999726391410624470f,
+  0.999708156627104880f,
+  0.999689333741033640f, 0.999669922763483760f, 0.999649923705874240f,
+  0.999629336579970110f,
+  0.999608161397882110f, 0.999586398172067070f, 0.999564046915327740f,
+  0.999541107640812940f,
+  0.999517580362016990f, 0.999493465092780590f, 0.999468761847290050f,
+  0.999443470640077770f,
+  0.999417591486021720f, 0.999391124400346050f, 0.999364069398620550f,
+  0.999336426496761240f,
+  0.999308195711029470f, 0.999279377058032710f, 0.999249970554724420f,
+  0.999219976218403530f,
+  0.999189394066714920f, 0.999158224117649430f, 0.999126466389543390f,
+  0.999094120901079070f,
+  0.999061187671284600f, 0.999027666719533690f, 0.998993558065545680f,
+  0.998958861729386080f,
+  0.998923577731465780f, 0.998887706092541290f, 0.998851246833715180f,
+  0.998814199976435390f,
+  0.998776565542495610f, 0.998738343554035230f, 0.998699534033539280f,
+  0.998660137003838490f,
+  0.998620152488108870f, 0.998579580509872500f, 0.998538421092996730f,
+  0.998496674261694640f,
+  0.998454340040524800f, 0.998411418454391300f, 0.998367909528543820f,
+  0.998323813288577560f,
+  0.998279129760433200f, 0.998233858970396850f, 0.998188000945100300f,
+  0.998141555711520520f,
+  0.998094523296980010f, 0.998046903729146840f, 0.997998697036034390f,
+  0.997949903246001190f,
+  0.997900522387751620f, 0.997850554490335110f, 0.997799999583146470f,
+  0.997748857695925690f,
+  0.997697128858758500f, 0.997644813102075420f, 0.997591910456652630f,
+  0.997538420953611340f,
+  0.997484344624417930f, 0.997429681500884180f, 0.997374431615167150f,
+  0.997318594999768600f,
+  0.997262171687536170f, 0.997205161711661850f, 0.997147565105683480f,
+  0.997089381903483400f,
+  0.997030612139289450f, 0.996971255847674320f, 0.996911313063555740f,
+  0.996850783822196610f,
+  0.996789668159204560f, 0.996727966110532490f, 0.996665677712478160f,
+  0.996602803001684130f,
+  0.996539342015137940f, 0.996475294790172160f, 0.996410661364464100f,
+  0.996345441776035900f,
+  0.996279636063254650f, 0.996213244264832040f, 0.996146266419824620f,
+  0.996078702567633980f,
+  0.996010552748005870f, 0.995941817001031350f, 0.995872495367145730f,
+  0.995802587887129160f,
+  0.995732094602106430f, 0.995661015553546910f, 0.995589350783264600f,
+  0.995517100333418110f,
+  0.995444264246510340f, 0.995370842565388990f, 0.995296835333246090f,
+  0.995222242593618360f,
+  0.995147064390386470f, 0.995071300767776170f, 0.994994951770357020f,
+  0.994918017443043200f,
+  0.994840497831093180f, 0.994762392980109930f, 0.994683702936040250f,
+  0.994604427745175660f,
+  0.994524567454151740f, 0.994444122109948040f, 0.994363091759888570f,
+  0.994281476451641550f,
+  0.994199276233218910f, 0.994116491152977070f, 0.994033121259616400f,
+  0.993949166602181130f,
+  0.993864627230059750f, 0.993779503192984580f, 0.993693794541031790f,
+  0.993607501324621610f,
+  0.993520623594518090f, 0.993433161401829360f, 0.993345114798006910f,
+  0.993256483834846440f,
+  0.993167268564487230f, 0.993077469039412300f, 0.992987085312448390f,
+  0.992896117436765980f,
+  0.992804565465879140f, 0.992712429453645460f, 0.992619709454266140f,
+  0.992526405522286100f,
+  0.992432517712593660f, 0.992338046080420420f, 0.992242990681341700f,
+  0.992147351571276090f,
+  0.992051128806485720f, 0.991954322443575950f, 0.991856932539495470f,
+  0.991758959151536110f,
+  0.991660402337333210f, 0.991561262154865290f, 0.991461538662453790f,
+  0.991361231918763460f,
+  0.991260341982802440f, 0.991158868913921350f, 0.991056812771814340f,
+  0.990954173616518500f,
+  0.990850951508413620f, 0.990747146508222710f, 0.990642758677011570f,
+  0.990537788076188750f,
+  0.990432234767505970f, 0.990326098813057330f, 0.990219380275280000f,
+  0.990112079216953770f,
+  0.990004195701200910f, 0.989895729791486660f, 0.989786681551618640f,
+  0.989677051045747210f,
+  0.989566838338365120f, 0.989456043494307710f, 0.989344666578752640f,
+  0.989232707657220050f,
+  0.989120166795572690f, 0.989007044060015270f, 0.988893339517095130f,
+  0.988779053233701520f,
+  0.988664185277066230f, 0.988548735714763200f, 0.988432704614708340f,
+  0.988316092045159690f,
+  0.988198898074717610f, 0.988081122772324070f, 0.987962766207263420f,
+  0.987843828449161740f,
+  0.987724309567986960f, 0.987604209634049160f, 0.987483528717999710f,
+  0.987362266890832400f,
+  0.987240424223882250f, 0.987118000788826280f, 0.986994996657682980f,
+  0.986871411902812470f,
+  0.986747246596916590f, 0.986622500813038480f, 0.986497174624562880f,
+  0.986371268105216030f,
+  0.986244781329065460f, 0.986117714370520090f, 0.985990067304330140f,
+  0.985861840205586980f,
+  0.985733033149723490f, 0.985603646212513400f, 0.985473679470071810f,
+  0.985343132998854790f,
+  0.985212006875659350f, 0.985080301177623800f, 0.984948015982227030f,
+  0.984815151367289140f,
+  0.984681707410970940f, 0.984547684191773960f, 0.984413081788540700f,
+  0.984277900280454370f,
+  0.984142139747038570f, 0.984005800268157870f, 0.983868881924017220f,
+  0.983731384795162090f,
+  0.983593308962478650f, 0.983454654507193270f, 0.983315421510872810f,
+  0.983175610055424420f,
+  0.983035220223095640f, 0.982894252096474070f, 0.982752705758487830f,
+  0.982610581292404750f,
+  0.982467878781833170f, 0.982324598310721280f, 0.982180739963357090f,
+  0.982036303824369020f,
+  0.981891289978725100f, 0.981745698511732990f, 0.981599529509040720f,
+  0.981452783056635520f,
+  0.981305459240844670f, 0.981157558148334830f, 0.981009079866112630f,
+  0.980860024481523870f,
+  0.980710392082253970f, 0.980560182756327840f, 0.980409396592109910f,
+  0.980258033678303550f,
+  0.980106094103951770f, 0.979953577958436740f, 0.979800485331479790f,
+  0.979646816313141210f,
+  0.979492570993820810f, 0.979337749464256780f, 0.979182351815526930f,
+  0.979026378139047580f,
+  0.978869828526574120f, 0.978712703070200420f, 0.978555001862359550f,
+  0.978396724995823090f,
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+  0.977757862810002760f,
+  0.977596709053411890f, 0.977434980201864260f, 0.977272676350500860f,
+  0.977109797594800880f,
+  0.976946344030581670f, 0.976782315753998650f, 0.976617712861545640f,
+  0.976452535450054060f,
+  0.976286783616693630f, 0.976120457458971910f, 0.975953557074734300f,
+  0.975786082562163930f,
+  0.975618034019781750f, 0.975449411546446380f, 0.975280215241354220f,
+  0.975110445204038890f,
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+  0.974425629735034990f,
+  0.974252992541422500f, 0.974079782219875680f, 0.973905998872289570f,
+  0.973731642600896400f,
+  0.973556713508265560f, 0.973381211697303290f, 0.973205137271252800f,
+  0.973028490333694210f,
+  0.972851270988544180f, 0.972673479340056430f, 0.972495115492821190f,
+  0.972316179551765300f,
+  0.972136671622152230f, 0.971956591809581720f, 0.971775940219990140f,
+  0.971594716959650160f,
+  0.971412922135170940f, 0.971230555853497380f, 0.971047618221911100f,
+  0.970864109348029470f,
+  0.970680029339806130f, 0.970495378305530560f, 0.970310156353828110f,
+  0.970124363593660280f,
+  0.969938000134323960f, 0.969751066085452140f, 0.969563561557013180f,
+  0.969375486659311280f,
+  0.969186841502985950f, 0.968997626199012420f, 0.968807840858700970f,
+  0.968617485593697540f,
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+  0.967850367531413620f,
+  0.967657164329369880f, 0.967463391879547550f, 0.967269050295937790f,
+  0.967074139692867040f,
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+  0.966288809384209690f,
+  0.966091055410438830f, 0.965892733110190860f, 0.965693842600133690f,
+  0.965494383997269500f,
+  0.965294357418934660f, 0.965093762982799590f, 0.964892600806868890f,
+  0.964690871009481030f,
+  0.964488573709308410f, 0.964285709025357480f, 0.964082277076968140f,
+  0.963878277983814200f,
+  0.963673711865903230f, 0.963468578843575950f, 0.963262879037507070f,
+  0.963056612568704340f,
+  0.962849779558509030f, 0.962642380128595710f, 0.962434414400972100f,
+  0.962225882497979020f,
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+  0.961386095590786250f,
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+  0.960537259751520050f,
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+  0.959679382969746750f,
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+  0.958812473320129310f,
+  0.958594335476470220f, 0.958375633716461170f, 0.958156368168758820f,
+  0.957936538962351420f,
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+  0.957051588141040970f,
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+  0.956157629185692140f,
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+  0.955254670510586990f,
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+  0.954342720614716480f,
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+  0.953421788081700310f,
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+  0.952491881579706320f,
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+  0.947708048828952100f,
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+  0.946724485268921170f,
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+  0.945732010777477150f,
+  0.945482500914453740f, 0.945232434848435000f, 0.944981812726528150f,
+  0.944730634696167800f,
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+  0.943720366450326200f,
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+  0.938535978493508560f,
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+  0.278151348422115090f, 0.277414543828458200f, 0.276677576038972420f,
+  0.275940445487197320f,
+  0.275203152606767370f, 0.274465697831413220f, 0.273728081594960650f,
+  0.272990304331329980f,
+  0.272252366474536660f, 0.271514268458690810f, 0.270776010717996010f,
+  0.270037593686750510f,
+  0.269299017799346230f, 0.268560283490267890f, 0.267821391194094320f,
+  0.267082341345496350f,
+  0.266343134379238180f, 0.265603770730176440f, 0.264864250833259320f,
+  0.264124575123527490f,
+  0.263384744036113390f, 0.262644758006240100f, 0.261904617469222560f,
+  0.261164322860466590f,
+  0.260423874615468010f, 0.259683273169813930f, 0.258942518959180580f,
+  0.258201612419334870f,
+  0.257460553986133210f, 0.256719344095520720f, 0.255977983183532380f,
+  0.255236471686291820f,
+  0.254494810040010790f, 0.253752998680989940f, 0.253011038045617980f,
+  0.252268928570370810f,
+  0.251526670691812780f, 0.250784264846594550f, 0.250041711471454650f,
+  0.249299011003218300f,
+  0.248556163878796620f, 0.247813170535187620f, 0.247070031409475370f,
+  0.246326746938829060f,
+  0.245583317560504000f, 0.244839743711840750f, 0.244096025830264210f,
+  0.243352164353284880f,
+  0.242608159718496890f, 0.241864012363579210f, 0.241119722726294730f,
+  0.240375291244489500f,
+  0.239630718356093560f, 0.238886004499120170f, 0.238141150111664870f,
+  0.237396155631906550f,
+  0.236651021498106460f, 0.235905748148607370f, 0.235160336021834860f,
+  0.234414785556295250f,
+  0.233669097190576820f, 0.232923271363349120f, 0.232177308513361770f,
+  0.231431209079445730f,
+  0.230684973500512310f, 0.229938602215552260f, 0.229192095663636740f,
+  0.228445454283916550f,
+  0.227698678515621170f, 0.226951768798059980f, 0.226204725570620270f,
+  0.225457549272768540f,
+  0.224710240344049570f, 0.223962799224085520f, 0.223215226352576960f,
+  0.222467522169301990f,
+  0.221719687114115240f, 0.220971721626949060f, 0.220223626147812460f,
+  0.219475401116790340f,
+  0.218727046974044600f, 0.217978564159812290f, 0.217229953114406790f,
+  0.216481214278216900f,
+  0.215732348091705940f, 0.214983354995412820f, 0.214234235429951100f,
+  0.213484989836008080f,
+  0.212735618654345870f, 0.211986122325800410f, 0.211236501291280710f,
+  0.210486755991769890f,
+  0.209736886868323370f, 0.208986894362070070f, 0.208236778914211470f,
+  0.207486540966020700f,
+  0.206736180958843660f, 0.205985699334098050f, 0.205235096533272380f,
+  0.204484372997927180f,
+  0.203733529169694010f, 0.202982565490274460f, 0.202231482401441620f,
+  0.201480280345037820f,
+  0.200728959762976140f, 0.199977521097239290f, 0.199225964789878890f,
+  0.198474291283016360f,
+  0.197722501018842030f, 0.196970594439614370f, 0.196218571987660850f,
+  0.195466434105377090f,
+  0.194714181235225990f, 0.193961813819739010f, 0.193209332301514080f,
+  0.192456737123216840f,
+  0.191704028727579940f, 0.190951207557401860f, 0.190198274055548120f,
+  0.189445228664950340f,
+  0.188692071828605260f, 0.187938803989575850f, 0.187185425590990440f,
+  0.186431937076041640f,
+  0.185678338887987790f, 0.184924631470150870f, 0.184170815265917720f,
+  0.183416890718739230f,
+  0.182662858272129360f, 0.181908718369666160f, 0.181154471454990920f,
+  0.180400117971807270f,
+  0.179645658363882100f, 0.178891093075044830f, 0.178136422549186320f,
+  0.177381647230260200f,
+  0.176626767562280960f, 0.175871783989325040f, 0.175116696955530060f,
+  0.174361506905093830f,
+  0.173606214282275410f, 0.172850819531394200f, 0.172095323096829040f,
+  0.171339725423019260f,
+  0.170584026954463700f, 0.169828228135719880f, 0.169072329411405180f,
+  0.168316331226194910f,
+  0.167560234024823590f, 0.166804038252083870f, 0.166047744352825850f,
+  0.165291352771957970f,
+  0.164534863954446110f, 0.163778278345312690f, 0.163021596389637810f,
+  0.162264818532558110f,
+  0.161507945219266150f, 0.160750976895011390f, 0.159993914005098350f,
+  0.159236756994887850f,
+  0.158479506309796100f, 0.157722162395293690f, 0.156964725696906750f,
+  0.156207196660216040f,
+  0.155449575730855880f, 0.154691863354515400f, 0.153934059976937460f,
+  0.153176166043917870f,
+  0.152418182001306500f, 0.151660108295005400f, 0.150901945370970040f,
+  0.150143693675208330f,
+  0.149385353653779810f, 0.148626925752796540f, 0.147868410418422360f,
+  0.147109808096871850f,
+  0.146351119234411440f, 0.145592344277358450f, 0.144833483672080240f,
+  0.144074537864995330f,
+  0.143315507302571590f, 0.142556392431327340f, 0.141797193697830530f,
+  0.141037911548697770f,
+  0.140278546430595420f, 0.139519098790238600f, 0.138759569074390380f,
+  0.137999957729862760f,
+  0.137240265203515700f, 0.136480491942256310f, 0.135720638393040080f,
+  0.134960705002868830f,
+  0.134200692218792020f, 0.133440600487905820f, 0.132680430257352130f,
+  0.131920181974319760f,
+  0.131159856086043410f, 0.130399453039802740f, 0.129638973282923540f,
+  0.128878417262776660f,
+  0.128117785426777150f, 0.127357078222385570f, 0.126596296097105960f,
+  0.125835439498487020f,
+  0.125074508874121300f, 0.124313504671644300f, 0.123552427338735370f,
+  0.122791277323116900f,
+  0.122030055072553410f, 0.121268761034852550f, 0.120507395657864240f,
+  0.119745959389479630f,
+  0.118984452677632520f, 0.118222875970297250f, 0.117461229715489990f,
+  0.116699514361267840f,
+  0.115937730355727850f, 0.115175878147008180f, 0.114413958183287050f,
+  0.113651970912781920f,
+  0.112889916783750470f, 0.112127796244489750f, 0.111365609743335190f,
+  0.110603357728661910f,
+  0.109841040648882680f, 0.109078658952449240f, 0.108316213087851300f,
+  0.107553703503615710f,
+  0.106791130648307380f, 0.106028494970528530f, 0.105265796918917650f,
+  0.104503036942150550f,
+  0.103740215488939480f, 0.102977333008032250f, 0.102214389948213370f,
+  0.101451386758302160f,
+  0.100688323887153970f, 0.099925201783659226f, 0.099162020896742573f,
+  0.098398781675363881f,
+  0.097635484568517339f, 0.096872130025230527f, 0.096108718494565468f,
+  0.095345250425617742f,
+  0.094581726267515473f, 0.093818146469420494f, 0.093054511480527333f,
+  0.092290821750062355f,
+  0.091527077727284981f, 0.090763279861485704f, 0.089999428601987341f,
+  0.089235524398144139f,
+  0.088471567699340822f, 0.087707558954993645f, 0.086943498614549489f,
+  0.086179387127484922f,
+  0.085415224943307277f, 0.084651012511553700f, 0.083886750281790226f,
+  0.083122438703613077f,
+  0.082358078226646619f, 0.081593669300544638f, 0.080829212374989468f,
+  0.080064707899690932f,
+  0.079300156324387569f, 0.078535558098845590f, 0.077770913672857989f,
+  0.077006223496245585f,
+  0.076241488018856149f, 0.075476707690563416f, 0.074711882961268378f,
+  0.073947014280897269f,
+  0.073182102099402888f, 0.072417146866763538f, 0.071652149032982254f,
+  0.070887109048087787f,
+  0.070122027362133646f, 0.069356904425197236f, 0.068591740687380900f,
+  0.067826536598810966f,
+  0.067061292609636836f, 0.066296009170032283f, 0.065530686730193397f,
+  0.064765325740339871f,
+  0.063999926650714078f, 0.063234489911580136f, 0.062469015973224969f,
+  0.061703505285957416f,
+  0.060937958300107238f, 0.060172375466026218f, 0.059406757234087247f,
+  0.058641104054683348f,
+  0.057875416378229017f, 0.057109694655158132f, 0.056343939335925283f,
+  0.055578150871004817f,
+  0.054812329710889909f, 0.054046476306093640f, 0.053280591107148056f,
+  0.052514674564603257f,
+  0.051748727129028414f, 0.050982749251010900f, 0.050216741381155325f,
+  0.049450703970084824f,
+  0.048684637468439020f, 0.047918542326875327f, 0.047152418996068000f,
+  0.046386267926707213f,
+  0.045620089569500123f, 0.044853884375169933f, 0.044087652794454979f,
+  0.043321395278109784f,
+  0.042555112276904117f, 0.041788804241622082f, 0.041022471623063397f,
+  0.040256114872041358f,
+  0.039489734439384118f, 0.038723330775933762f, 0.037956904332545366f,
+  0.037190455560088091f,
+  0.036423984909444228f, 0.035657492831508264f, 0.034890979777187955f,
+  0.034124446197403423f,
+  0.033357892543086159f, 0.032591319265180385f, 0.031824726814640963f,
+  0.031058115642434700f,
+  0.030291486199539423f, 0.029524838936943035f, 0.028758174305644590f,
+  0.027991492756653365f,
+  0.027224794740987910f, 0.026458080709677145f, 0.025691351113759395f,
+  0.024924606404281485f,
+  0.024157847032300020f, 0.023391073448879338f, 0.022624286105092803f,
+  0.021857485452021874f,
+  0.021090671940755180f, 0.020323846022389572f, 0.019557008148029204f,
+  0.018790158768784596f,
+  0.018023298335773701f, 0.017256427300120978f, 0.016489546112956454f,
+  0.015722655225417017f,
+  0.014955755088644378f, 0.014188846153786343f, 0.013421928871995907f,
+  0.012655003694430301f,
+  0.011888071072252072f, 0.011121131456628141f, 0.010354185298728884f,
+  0.009587233049729183f,
+  0.008820275160807512f, 0.008053312083144991f, 0.007286344267926684f,
+  0.006519372166339549f,
+  0.005752396229573737f, 0.004985416908821652f, 0.004218434655277024f,
+  0.003451449920135975f,
+  0.002684463154596083f, 0.001917474809855460f, 0.001150485337113809f,
+  0.000383495187571497f
+};
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_8192)
+    const float32_t Weights_8192[16384] = {
+  1.000000000000000000f, -0.000000000000000000f, 0.999999981616429330f,
+    -0.000191747597310703f,
+  0.999999926465717890f, -0.000383495187571396f, 0.999999834547867670f,
+    -0.000575242763732066f,
+  0.999999705862882230f, -0.000766990318742704f, 0.999999540410766110f,
+    -0.000958737845553301f,
+  0.999999338191525530f, -0.001150485337113849f, 0.999999099205167830f,
+    -0.001342232786374338f,
+  0.999998823451701880f, -0.001533980186284766f, 0.999998510931137790f,
+    -0.001725727529795126f,
+  0.999998161643486980f, -0.001917474809855419f, 0.999997775588762350f,
+    -0.002109222019415644f,
+  0.999997352766978210f, -0.002300969151425805f, 0.999996893178149880f,
+    -0.002492716198835908f,
+  0.999996396822294350f, -0.002684463154595962f, 0.999995863699429940f,
+    -0.002876210011655979f,
+  0.999995293809576190f, -0.003067956762965976f, 0.999994687152754080f,
+    -0.003259703401475973f,
+  0.999994043728985820f, -0.003451449920135994f, 0.999993363538295150f,
+    -0.003643196311896068f,
+  0.999992646580707190f, -0.003834942569706228f, 0.999991892856248010f,
+    -0.004026688686516512f,
+  0.999991102364945590f, -0.004218434655276963f, 0.999990275106828920f,
+    -0.004410180468937631f,
+  0.999989411081928400f, -0.004601926120448571f, 0.999988510290275690f,
+    -0.004793671602759841f,
+  0.999987572731904080f, -0.004985416908821511f, 0.999986598406848000f,
+    -0.005177162031583651f,
+  0.999985587315143200f, -0.005368906963996343f, 0.999984539456826970f,
+    -0.005560651699009674f,
+  0.999983454831937730f, -0.005752396229573736f, 0.999982333440515350f,
+    -0.005944140548638633f,
+  0.999981175282601110f, -0.006135884649154475f, 0.999979980358237650f,
+    -0.006327628524071378f,
+  0.999978748667468830f, -0.006519372166339468f, 0.999977480210339940f,
+    -0.006711115568908879f,
+  0.999976174986897610f, -0.006902858724729756f, 0.999974832997189810f,
+    -0.007094601626752250f,
+  0.999973454241265940f, -0.007286344267926521f, 0.999972038719176730f,
+    -0.007478086641202744f,
+  0.999970586430974140f, -0.007669828739531097f, 0.999969097376711580f,
+    -0.007861570555861772f,
+  0.999967571556443780f, -0.008053312083144972f, 0.999966008970226920f,
+    -0.008245053314330906f,
+  0.999964409618118280f, -0.008436794242369799f, 0.999962773500176930f,
+    -0.008628534860211886f,
+  0.999961100616462820f, -0.008820275160807412f, 0.999959390967037450f,
+    -0.009012015137106633f,
+  0.999957644551963900f, -0.009203754782059819f, 0.999955861371306100f,
+    -0.009395494088617252f,
+  0.999954041425129780f, -0.009587233049729225f, 0.999952184713501780f,
+    -0.009778971658346044f,
+  0.999950291236490480f, -0.009970709907418031f, 0.999948360994165400f,
+    -0.010162447789895513f,
+  0.999946393986597460f, -0.010354185298728842f, 0.999944390213859060f,
+    -0.010545922426868378f,
+  0.999942349676023910f, -0.010737659167264491f, 0.999940272373166960f,
+    -0.010929395512867571f,
+  0.999938158305364590f, -0.011121131456628021f, 0.999936007472694620f,
+    -0.011312866991496258f,
+  0.999933819875236000f, -0.011504602110422714f, 0.999931595513069200f,
+    -0.011696336806357838f,
+  0.999929334386276070f, -0.011888071072252092f, 0.999927036494939640f,
+    -0.012079804901055957f,
+  0.999924701839144500f, -0.012271538285719925f, 0.999922330418976490f,
+    -0.012463271219194511f,
+  0.999919922234522750f, -0.012655003694430242f, 0.999917477285871770f,
+    -0.012846735704377662f,
+  0.999914995573113470f, -0.013038467241987334f, 0.999912477096339240f,
+    -0.013230198300209835f,
+  0.999909921855641540f, -0.013421928871995765f, 0.999907329851114300f,
+    -0.013613658950295740f,
+  0.999904701082852900f, -0.013805388528060391f, 0.999902035550953920f,
+    -0.013997117598240367f,
+  0.999899333255515390f, -0.014188846153786345f, 0.999896594196636680f,
+    -0.014380574187649006f,
+  0.999893818374418490f, -0.014572301692779064f, 0.999891005788962950f,
+    -0.014764028662127246f,
+  0.999888156440373320f, -0.014955755088644296f, 0.999885270328754520f,
+    -0.015147480965280987f,
+  0.999882347454212560f, -0.015339206284988100f, 0.999879387816854930f,
+    -0.015530931040716447f,
+  0.999876391416790410f, -0.015722655225416857f, 0.999873358254129260f,
+    -0.015914378832040183f,
+  0.999870288328982950f, -0.016106101853537287f, 0.999867181641464380f,
+    -0.016297824282859065f,
+  0.999864038191687680f, -0.016489546112956437f, 0.999860857979768540f,
+    -0.016681267336780332f,
+  0.999857641005823860f, -0.016872987947281710f, 0.999854387269971890f,
+    -0.017064707937411563f,
+  0.999851096772332190f, -0.017256427300120877f, 0.999847769513025900f,
+    -0.017448146028360693f,
+  0.999844405492175240f, -0.017639864115082053f, 0.999841004709904000f,
+    -0.017831581553236039f,
+  0.999837567166337090f, -0.018023298335773746f, 0.999834092861600960f,
+    -0.018215014455646290f,
+  0.999830581795823400f, -0.018406729905804820f, 0.999827033969133420f,
+    -0.018598444679200511f,
+  0.999823449381661570f, -0.018790158768784555f, 0.999819828033539420f,
+    -0.018981872167508178f,
+  0.999816169924900410f, -0.019173584868322623f, 0.999812475055878780f,
+    -0.019365296864179156f,
+  0.999808743426610520f, -0.019557008148029083f, 0.999804975037232870f,
+    -0.019748718712823729f,
+  0.999801169887884260f, -0.019940428551514441f, 0.999797327978704690f,
+    -0.020132137657052594f,
+  0.999793449309835270f, -0.020323846022389593f, 0.999789533881418780f,
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+  0.025691351113759395f, -0.999669922763483760f, 0.025499666335666818f,
+    -0.999674830640828740f,
+  0.025307980620024630f, -0.999679701762987930f, 0.025116293973880335f,
+    -0.999684536129782140f,
+  0.024924606404281485f, -0.999689333741033640f, 0.024732917918276334f,
+    -0.999694094596566000f,
+  0.024541228522912264f, -0.999698818696204250f, 0.024349538225237600f,
+    -0.999703506039774650f,
+  0.024157847032300020f, -0.999708156627104880f, 0.023966154951147241f,
+    -0.999712770458023870f,
+  0.023774461988827676f, -0.999717347532362190f, 0.023582768152388880f,
+    -0.999721887849951310f,
+  0.023391073448879338f, -0.999726391410624470f, 0.023199377885346890f,
+    -0.999730858214216030f,
+  0.023007681468839410f, -0.999735288260561680f, 0.022815984206405477f,
+    -0.999739681549498660f,
+  0.022624286105092803f, -0.999744038080865430f, 0.022432587171950024f,
+    -0.999748357854501780f,
+  0.022240887414024919f, -0.999752640870248840f, 0.022049186838366180f,
+    -0.999756887127949080f,
+  0.021857485452021874f, -0.999761096627446610f, 0.021665783262040089f,
+    -0.999765269368586450f,
+  0.021474080275469605f, -0.999769405351215280f, 0.021282376499358355f,
+    -0.999773504575180990f,
+  0.021090671940755180f, -0.999777567040332940f, 0.020898966606708289f,
+    -0.999781592746521670f,
+  0.020707260504265912f, -0.999785581693599210f, 0.020515553640476986f,
+    -0.999789533881418780f,
+  0.020323846022389572f, -0.999793449309835270f, 0.020132137657052664f,
+    -0.999797327978704690f,
+  0.019940428551514598f, -0.999801169887884260f, 0.019748718712823757f,
+    -0.999804975037232870f,
+  0.019557008148029204f, -0.999808743426610520f, 0.019365296864179146f,
+    -0.999812475055878780f,
+  0.019173584868322699f, -0.999816169924900410f, 0.018981872167508348f,
+    -0.999819828033539420f,
+  0.018790158768784596f, -0.999823449381661570f, 0.018598444679200642f,
+    -0.999827033969133420f,
+  0.018406729905804820f, -0.999830581795823400f, 0.018215014455646376f,
+    -0.999834092861600960f,
+  0.018023298335773701f, -0.999837567166337090f, 0.017831581553236088f,
+    -0.999841004709904000f,
+  0.017639864115082195f, -0.999844405492175240f, 0.017448146028360704f,
+    -0.999847769513025900f,
+  0.017256427300120978f, -0.999851096772332190f, 0.017064707937411529f,
+    -0.999854387269971890f,
+  0.016872987947281773f, -0.999857641005823860f, 0.016681267336780482f,
+    -0.999860857979768540f,
+  0.016489546112956454f, -0.999864038191687680f, 0.016297824282859176f,
+    -0.999867181641464380f,
+  0.016106101853537263f, -0.999870288328982950f, 0.015914378832040249f,
+    -0.999873358254129260f,
+  0.015722655225417017f, -0.999876391416790410f, 0.015530931040716478f,
+    -0.999879387816854930f,
+  0.015339206284988220f, -0.999882347454212560f, 0.015147480965280975f,
+    -0.999885270328754520f,
+  0.014955755088644378f, -0.999888156440373320f, 0.014764028662127416f,
+    -0.999891005788962950f,
+  0.014572301692779104f, -0.999893818374418490f, 0.014380574187649138f,
+    -0.999896594196636680f,
+  0.014188846153786343f, -0.999899333255515390f, 0.013997117598240459f,
+    -0.999902035550953920f,
+  0.013805388528060349f, -0.999904701082852900f, 0.013613658950295789f,
+    -0.999907329851114300f,
+  0.013421928871995907f, -0.999909921855641540f, 0.013230198300209845f,
+    -0.999912477096339240f,
+  0.013038467241987433f, -0.999914995573113470f, 0.012846735704377631f,
+    -0.999917477285871770f,
+  0.012655003694430301f, -0.999919922234522750f, 0.012463271219194662f,
+    -0.999922330418976490f,
+  0.012271538285719944f, -0.999924701839144500f, 0.012079804901056066f,
+    -0.999927036494939640f,
+  0.011888071072252072f, -0.999929334386276070f, 0.011696336806357907f,
+    -0.999931595513069200f,
+  0.011504602110422875f, -0.999933819875236000f, 0.011312866991496287f,
+    -0.999936007472694620f,
+  0.011121131456628141f, -0.999938158305364590f, 0.010929395512867561f,
+    -0.999940272373166960f,
+  0.010737659167264572f, -0.999942349676023910f, 0.010545922426868548f,
+    -0.999944390213859060f,
+  0.010354185298728884f, -0.999946393986597460f, 0.010162447789895645f,
+    -0.999948360994165400f,
+  0.009970709907418029f, -0.999950291236490480f, 0.009778971658346134f,
+    -0.999952184713501780f,
+  0.009587233049729183f, -0.999954041425129780f, 0.009395494088617302f,
+    -0.999955861371306100f,
+  0.009203754782059960f, -0.999957644551963900f, 0.009012015137106642f,
+    -0.999959390967037450f,
+  0.008820275160807512f, -0.999961100616462820f, 0.008628534860211857f,
+    -0.999962773500176930f,
+  0.008436794242369860f, -0.999964409618118280f, 0.008245053314331058f,
+    -0.999966008970226920f,
+  0.008053312083144991f, -0.999967571556443780f, 0.007861570555861883f,
+    -0.999969097376711580f,
+  0.007669828739531077f, -0.999970586430974140f, 0.007478086641202815f,
+    -0.999972038719176730f,
+  0.007286344267926684f, -0.999973454241265940f, 0.007094601626752279f,
+    -0.999974832997189810f,
+  0.006902858724729877f, -0.999976174986897610f, 0.006711115568908869f,
+    -0.999977480210339940f,
+  0.006519372166339549f, -0.999978748667468830f, 0.006327628524071549f,
+    -0.999979980358237650f,
+  0.006135884649154515f, -0.999981175282601110f, 0.005944140548638765f,
+    -0.999982333440515350f,
+  0.005752396229573737f, -0.999983454831937730f, 0.005560651699009764f,
+    -0.999984539456826970f,
+  0.005368906963996303f, -0.999985587315143200f, 0.005177162031583702f,
+    -0.999986598406848000f,
+  0.004985416908821652f, -0.999987572731904080f, 0.004793671602759852f,
+    -0.999988510290275690f,
+  0.004601926120448672f, -0.999989411081928400f, 0.004410180468937601f,
+    -0.999990275106828920f,
+  0.004218434655277024f, -0.999991102364945590f, 0.004026688686516664f,
+    -0.999991892856248010f,
+  0.003834942569706248f, -0.999992646580707190f, 0.003643196311896179f,
+    -0.999993363538295150f,
+  0.003451449920135975f, -0.999994043728985820f, 0.003259703401476044f,
+    -0.999994687152754080f,
+  0.003067956762966138f, -0.999995293809576190f, 0.002876210011656010f,
+    -0.999995863699429940f,
+  0.002684463154596083f, -0.999996396822294350f, 0.002492716198835898f,
+    -0.999996893178149880f,
+  0.002300969151425887f, -0.999997352766978210f, 0.002109222019415816f,
+    -0.999997775588762350f,
+  0.001917474809855460f, -0.999998161643486980f, 0.001725727529795258f,
+    -0.999998510931137790f,
+  0.001533980186284766f, -0.999998823451701880f, 0.001342232786374430f,
+    -0.999999099205167830f,
+  0.001150485337113809f, -0.999999338191525530f, 0.000958737845553352f,
+    -0.999999540410766110f,
+  0.000766990318742846f, -0.999999705862882230f, 0.000575242763732077f,
+    -0.999999834547867670f,
+  0.000383495187571497f, -0.999999926465717890f, 0.000191747597310674f,
+    -0.999999981616429330f
+};
+
+    const float32_t cos_factors_8192[8192] = {
+  1.999999990808214700f, 1.999999917273932200f, 1.999999770205369800f,
+    1.999999549602533100f,
+  1.999999255465430200f, 1.999998887794072000f, 1.999998446588471700f,
+    1.999997931848645600f,
+  1.999997343574612800f, 1.999996681766395000f, 1.999995946424016200f,
+    1.999995137547503600f,
+  1.999994255136887000f, 1.999993299192198700f, 1.999992269713474200f,
+    1.999991166700750800f,
+  1.999989990154069600f, 1.999988740073473500f, 1.999987416459008600f,
+    1.999986019310723500f,
+  1.999984548628669600f, 1.999983004412901000f, 1.999981386663474400f,
+    1.999979695380449400f,
+  1.999977930563888100f, 1.999976092213855400f, 1.999974180330418700f,
+    1.999972194913648900f,
+  1.999970135963618400f, 1.999968003480403000f, 1.999965797464081200f,
+    1.999963517914734100f,
+  1.999961164832445800f, 1.999958738217302300f, 1.999956238069392900f,
+    1.999953664388809800f,
+  1.999951017175647600f, 1.999948296430003500f, 1.999945502151977600f,
+    1.999942634341672600f,
+  1.999939692999193900f, 1.999936678124649700f, 1.999933589718150700f,
+    1.999930427779810900f,
+  1.999927192309745900f, 1.999923883308075200f, 1.999920500774920300f,
+    1.999917044710405500f,
+  1.999913515114657900f, 1.999909911987807200f, 1.999906235329986100f,
+    1.999902485141329400f,
+  1.999898661421975400f, 1.999894764172064600f, 1.999890793391740000f,
+    1.999886749081147800f,
+  1.999882631240436700f, 1.999878439869758200f, 1.999874174969266300f,
+    1.999869836539117700f,
+  1.999865424579472000f, 1.999860939090491600f, 1.999856380072341000f,
+    1.999851747525188200f,
+  1.999847041449203300f, 1.999842261844559700f, 1.999837408711432600f,
+    1.999832482050000900f,
+  1.999827481860445300f, 1.999822408142949900f, 1.999817260897701400f,
+    1.999812040124888700f,
+  1.999806745824704000f, 1.999801377997341800f, 1.999795936642999600f,
+    1.999790421761877400f,
+  1.999784833354177900f, 1.999779171420106700f, 1.999773435959872000f,
+    1.999767626973684400f,
+  1.999761744461757700f, 1.999755788424308200f, 1.999749758861554900f,
+    1.999743655773719400f,
+  1.999737479161026100f, 1.999731229023702200f, 1.999724905361977200f,
+    1.999718508176084000f,
+  1.999712037466257600f, 1.999705493232735800f, 1.999698875475759600f,
+    1.999692184195571900f,
+  1.999685419392419000f, 1.999678581066549400f, 1.999671669218214600f,
+    1.999664683847668800f,
+  1.999657624955168700f, 1.999650492540973900f, 1.999643286605346800f,
+    1.999636007148552400f,
+  1.999628654170857900f, 1.999621227672533800f, 1.999613727653853500f,
+    1.999606154115092500f,
+  1.999598507056529000f, 1.999590786478444600f, 1.999582992381123000f,
+    1.999575124764850800f,
+  1.999567183629917100f, 1.999559168976613900f, 1.999551080805236100f,
+    1.999542919116081000f,
+  1.999534683909448600f, 1.999526375185641800f, 1.999517992944965800f,
+    1.999509537187729200f,
+  1.999501007914242600f, 1.999492405124819700f, 1.999483728819776900f,
+    1.999474978999432800f,
+  1.999466155664109600f, 1.999457258814131500f, 1.999448288449825500f,
+    1.999439244571521700f,
+  1.999430127179552500f, 1.999420936274252800f, 1.999411671855960900f,
+    1.999402333925017300f,
+  1.999392922481765500f, 1.999383437526551300f, 1.999373879059723500f,
+    1.999364247081633500f,
+  1.999354541592635500f, 1.999344762593086500f, 1.999334910083345700f,
+    1.999324984063775700f,
+  1.999314984534741100f, 1.999304911496609700f, 1.999294764949752100f,
+    1.999284544894541100f,
+  1.999274251331352400f, 1.999263884260564600f, 1.999253443682558900f,
+    1.999242929597719200f,
+  1.999232342006432000f, 1.999221680909086400f, 1.999210946306074500f,
+    1.999200138197791100f,
+  1.999189256584633600f, 1.999178301467001900f, 1.999167272845298900f,
+    1.999156170719930100f,
+  1.999144995091303600f, 1.999133745959830600f, 1.999122423325924200f,
+    1.999111027190001000f,
+  1.999099557552479900f, 1.999088014413782800f, 1.999076397774334000f,
+    1.999064707634560700f,
+  1.999052943994892300f, 1.999041106855761900f, 1.999029196217604100f,
+    1.999017212080857400f,
+  1.999005154445962200f, 1.998993023313361700f, 1.998980818683502100f,
+    1.998968540556831800f,
+  1.998956188933802800f, 1.998943763814868800f, 1.998931265200486900f,
+    1.998918693091116200f,
+  1.998906047487219600f, 1.998893328389261400f, 1.998880535797709700f,
+    1.998867669713034500f,
+  1.998854730135709400f, 1.998841717066209400f, 1.998828630505013400f,
+    1.998815470452602400f,
+  1.998802236909460500f, 1.998788929876074100f, 1.998775549352932400f,
+    1.998762095340527400f,
+  1.998748567839354000f, 1.998734966849909000f, 1.998721292372693100f,
+    1.998707544408208700f,
+  1.998693722956961500f, 1.998679828019459300f, 1.998665859596213500f,
+    1.998651817687737300f,
+  1.998637702294547000f, 1.998623513417161700f, 1.998609251056103100f,
+    1.998594915211895600f,
+  1.998580505885066100f, 1.998566023076144600f, 1.998551466785663400f,
+    1.998536837014157900f,
+  1.998522133762165900f, 1.998507357030227900f, 1.998492506818887200f,
+    1.998477583128690100f,
+  1.998462585960185000f, 1.998447515313923400f, 1.998432371190459500f,
+    1.998417153590349900f,
+  1.998401862514154200f, 1.998386497962434800f, 1.998371059935756300f,
+    1.998355548434686400f,
+  1.998339963459795400f, 1.998324305011656600f, 1.998308573090845200f,
+    1.998292767697940100f,
+  1.998276888833522300f, 1.998260936498175400f, 1.998244910692486000f,
+    1.998228811417043700f,
+  1.998212638672439900f, 1.998196392459269400f, 1.998180072778129600f,
+    1.998163679629620500f,
+  1.998147213014344900f, 1.998130672932908000f, 1.998114059385918400f,
+    1.998097372373986300f,
+  1.998080611897725700f, 1.998063777957752600f, 1.998046870554686100f,
+    1.998029889689147700f,
+  1.998012835361761900f, 1.997995707573155600f, 1.997978506323958600f,
+    1.997961231614803200f,
+  1.997943883446324800f, 1.997926461819161000f, 1.997908966733952500f,
+    1.997891398191342400f,
+  1.997873756191977000f, 1.997856040736504500f, 1.997838251825576400f,
+    1.997820389459846700f,
+  1.997802453639972300f, 1.997784444366612600f, 1.997766361640429800f,
+    1.997748205462088500f,
+  1.997729975832256600f, 1.997711672751604200f, 1.997693296220804000f,
+    1.997674846240532000f,
+  1.997656322811466500f, 1.997637725934288300f, 1.997619055609681600f,
+    1.997600311838332500f,
+  1.997581494620930300f, 1.997562603958166600f, 1.997543639850736200f,
+    1.997524602299336500f,
+  1.997505491304667000f, 1.997486306867430900f, 1.997467048988333000f,
+    1.997447717668082000f,
+  1.997428312907388200f, 1.997408834706965000f, 1.997389283067528800f,
+    1.997369657989798400f,
+  1.997349959474495200f, 1.997330187522343700f, 1.997310342134070800f,
+    1.997290423310406100f,
+  1.997270431052081900f, 1.997250365359833200f, 1.997230226234397900f,
+    1.997210013676516700f,
+  1.997189727686932400f, 1.997169368266390900f, 1.997148935415640600f,
+    1.997128429135433400f,
+  1.997107849426522600f, 1.997087196289665000f, 1.997066469725620200f,
+    1.997045669735150000f,
+  1.997024796319019300f, 1.997003849477995600f, 1.996982829212848900f,
+    1.996961735524351900f,
+  1.996940568413280600f, 1.996919327880412900f, 1.996898013926530000f,
+    1.996876626552415400f,
+  1.996855165758855600f, 1.996833631546639300f, 1.996812023916558800f,
+    1.996790342869408000f,
+  1.996768588405984300f, 1.996746760527087700f, 1.996724859233520500f,
+    1.996702884526087900f,
+  1.996680836405598100f, 1.996658714872861800f, 1.996636519928692000f,
+    1.996614251573904900f,
+  1.996591909809319400f, 1.996569494635756600f, 1.996547006054041100f,
+    1.996524444064999400f,
+  1.996501808669461000f, 1.996479099868258400f, 1.996456317662226300f,
+    1.996433462052202600f,
+  1.996410533039027400f, 1.996387530623543900f, 1.996364454806597500f,
+    1.996341305589037100f,
+  1.996318082971713500f, 1.996294786955480800f, 1.996271417541195300f,
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+  0.070356849204211397f, 0.069973590081423773f, 0.069590328385907715f,
+    0.069207064131753759f,
+  0.068823797333054326f, 0.068440528003900616f, 0.068057256158383886f,
+    0.067673981810596848f,
+  0.067290704974630494f, 0.066907425664577733f, 0.066524143894529736f,
+    0.066140859678579578f,
+  0.065757573030819083f, 0.065374283965340146f, 0.064990992496236119f,
+    0.064607698637598646f,
+  0.064224402403521202f, 0.063841103808096086f, 0.063457802865415636f,
+    0.063074499589573618f,
+  0.062691193994662109f, 0.062307886094775049f, 0.061924575904005130f,
+    0.061541263436445129f,
+  0.061157948706189229f, 0.060774631727329942f, 0.060391312513961619f,
+    0.060007991080177375f,
+  0.059624667440070382f, 0.059241341607735261f, 0.058858013597264912f,
+    0.058474683422754095f,
+  0.058091351098295878f, 0.057708016637985186f, 0.057324680055915692f,
+    0.056941341366181127f,
+  0.056558000582876661f, 0.056174657720095743f, 0.055791312791933681f,
+    0.055407965812484541f,
+  0.055024616795842439f, 0.054641265756102911f, 0.054257912707359794f,
+    0.053874557663708772f,
+  0.053491200639244271f, 0.053107841648060788f, 0.052724480704254229f,
+    0.052341117821918783f,
+  0.051957753015150501f, 0.051574386298044173f, 0.051191017684694640f,
+    0.050807647189198162f,
+  0.050424274825649297f, 0.050040900608144430f, 0.049657524550778251f,
+    0.049274146667647289f,
+  0.048890766972846805f, 0.048507385480472134f, 0.048124002204620014f,
+    0.047740617159385448f,
+  0.047357230358865306f, 0.046973841817155179f, 0.046590451548350717f,
+    0.046207059566548990f,
+  0.045823665885845313f, 0.045440270520336883f, 0.045056873484119603f,
+    0.044673474791289434f,
+  0.044290074455943754f, 0.043906672492178188f, 0.043523268914090238f,
+    0.043139863735776100f,
+  0.042756456971332048f, 0.042373048634855741f, 0.041989638740443119f,
+    0.041606227302191955f,
+  0.041222814334198304f, 0.040839399850560058f, 0.040455983865373815f,
+    0.040072566392736257f,
+  0.039689147446745419f, 0.039305727041497644f, 0.038922305191091085f,
+    0.038538881909622631f,
+  0.038155457211189216f, 0.037772031109889144f, 0.037388603619819022f,
+    0.037005174755077273f,
+  0.036621744529761024f, 0.036238312957967478f, 0.035854880053795196f,
+    0.035471445831341021f,
+  0.035088010304703626f, 0.034704573487980395f, 0.034321135395268765f,
+    0.033937696040667535f,
+  0.033554255438273790f, 0.033170813602186440f, 0.032787370546502645f,
+    0.032403926285321405f,
+  0.032020480832740429f, 0.031637034202857461f, 0.031253586409771626f,
+    0.030870137467580314f,
+  0.030486687390382738f, 0.030103236192276818f, 0.029719783887360508f,
+    0.029336330489733147f,
+  0.028952876013492331f, 0.028569420472737472f, 0.028185963881566689f,
+    0.027802506254078142f,
+  0.027419047604371360f, 0.027035587946544135f, 0.026652127294696067f,
+    0.026268665662925468f,
+  0.025885203065330677f, 0.025501739516011413f, 0.025118275029065638f,
+    0.024734809618593138f,
+  0.024351343298691951f, 0.023967876083461924f, 0.023584407987001611f,
+    0.023200939023409587f,
+  0.022817469206785804f, 0.022433998551228459f, 0.022050527070837558f,
+    0.021667054779711814f,
+  0.021283581691949955f, 0.020900107821652084f, 0.020516633182916549f,
+    0.020133157789843505f,
+  0.019749681656531803f, 0.019366204797080316f, 0.018982727225589285f,
+    0.018599248956157190f,
+  0.018215770002884327f, 0.017832290379869671f, 0.017448810101212228f,
+    0.017065329181012358f,
+  0.016681847633368677f, 0.016298365472381587f, 0.015914882712149747f,
+    0.015531399366773606f,
+  0.015147915450352307f, 0.014764430976985016f, 0.014380945960772247f,
+    0.013997460415812761f,
+  0.013613974356207112f, 0.013230487796054543f, 0.012847000749454314f,
+    0.012463513230507034f,
+  0.012080025253311559f, 0.011696536831968529f, 0.011313047980577277f,
+    0.010929558713237145f,
+  0.010546069044048827f, 0.010162578987111254f, 0.009779088556525145f,
+    0.009395597766389905f,
+  0.009012106630804949f, 0.008628615163871038f, 0.008245123379687167f,
+    0.007861631292354124f,
+  0.007478138915970929f, 0.007094646264638386f, 0.006711153352455981f,
+    0.006327660193523208f,
+  0.005944166801940901f, 0.005560673191808128f, 0.005177179377225743f,
+    0.004793685372293270f,
+  0.004410191191110246f, 0.004026696847777542f, 0.003643202356394263f,
+    0.003259707731061291f,
+  0.002876212985878184f, 0.002492718134944503f, 0.002109223192361147f,
+    0.001725728172227238f,
+  0.001342233088643682f, 0.000958737955710053f, 0.000575242787525925f,
+    0.000191747598192208f
+};
+  #endif
+
+/**
+  @brief  Weights Table
+ */
+
+/**
+  @par
+  Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre>
+  @par
+  C command to generate the table
+  <pre>
+  for(i = 0; i< N; i++)
+  { 
+    weights[(2*i)]   =  cos(i*c);
+    weights[(2*i)+1] = -sin(i*c);
+  } </pre>
+  @par
+  where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code>
+  @par
+  Converted the output to q15 format by multiplying with 2^31 and saturated if required.
+  @par
+  In the tables below the real and imaginary values are placed alternatively, hence the
+  array length is <code>2*N</code>.
+ */
+
+/**
+  @par
+  cosFactor tables are generated using the formula : <pre> cos_factors[n] = 2 * cos((2n+1)*pi/(4*N)) </pre>
+  @par
+  C command to generate the table
+  <pre>
+  for (i = 0; i< N; i++)
+  {
+    cos_factors[i] = 2 * cos((2*i+1)*c/2);
+  } </pre>
+  @par
+  where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code>
+  @par
+  Then converted to q15 format by multiplying with 2^31 and saturated if required.
+*/
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128)
+    const q15_t __ALIGNED(4) WeightsQ15_128[256] = {
+  (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7fe9, (q15_t)0xfb4a,
+  (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7f87, (q15_t)0xf505,
+  (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7ed5, (q15_t)0xeec7,
+  (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7dd6, (q15_t)0xe893,
+  (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7c89, (q15_t)0xe26d,
+  (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7aef, (q15_t)0xdc5a,
+  (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x7909, (q15_t)0xd65d,
+  (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x76d9, (q15_t)0xd079,
+  (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x745f, (q15_t)0xcab3,
+  (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x719e, (q15_t)0xc50e,
+  (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6e96, (q15_t)0xbf8d,
+  (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6b4a, (q15_t)0xba33,
+  (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x67bd, (q15_t)0xb505,
+  (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x65dd, (q15_t)0xb27f, (q15_t)0x64e8, (q15_t)0xb141, (q15_t)0x63ef, (q15_t)0xb005,
+  (q15_t)0x62f2, (q15_t)0xaecd, (q15_t)0x61f1, (q15_t)0xad97, (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x5fe3, (q15_t)0xab36,
+  (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5b9d, (q15_t)0xa69c,
+  (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5964, (q15_t)0xa463, (q15_t)0x5842, (q15_t)0xa34c, (q15_t)0x571d, (q15_t)0xa239,
+  (q15_t)0x55f5, (q15_t)0xa129, (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x5269, (q15_t)0x9e0f,
+  (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4d81, (q15_t)0x9a23,
+  (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x4869, (q15_t)0x9674,
+  (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4325, (q15_t)0x9307,
+  (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3db8, (q15_t)0x8fdd,
+  (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3824, (q15_t)0x8cf9,
+  (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x326e, (q15_t)0x8a5b,
+  (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2c98, (q15_t)0x8806,
+  (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x26a8, (q15_t)0x85fb,
+  (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x209f, (q15_t)0x843b,
+  (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1a82, (q15_t)0x82c7,
+  (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x1455, (q15_t)0x81a1,
+  (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x1139, (q15_t)0x812b, (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xe1b, (q15_t)0x80c8,
+  (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xafb, (q15_t)0x8079, (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x7d9, (q15_t)0x803e,
+  (q15_t)0x647, (q15_t)0x8028, (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x324, (q15_t)0x800a, (q15_t)0x192, (q15_t)0x8003
+};
+    const q15_t __ALIGNED(4) cos_factorsQ15_128[128] = {
+  (q15_t)0x7fff, (q15_t)0x7ffa, (q15_t)0x7ff0, (q15_t)0x7fe1, (q15_t)0x7fce, (q15_t)0x7fb5, (q15_t)0x7f97, (q15_t)0x7f75,
+  (q15_t)0x7f4d, (q15_t)0x7f21, (q15_t)0x7ef0, (q15_t)0x7eba, (q15_t)0x7e7f, (q15_t)0x7e3f, (q15_t)0x7dfa, (q15_t)0x7db0,
+  (q15_t)0x7d62, (q15_t)0x7d0f, (q15_t)0x7cb7, (q15_t)0x7c5a, (q15_t)0x7bf8, (q15_t)0x7b92, (q15_t)0x7b26, (q15_t)0x7ab6,
+  (q15_t)0x7a42, (q15_t)0x79c8, (q15_t)0x794a, (q15_t)0x78c7, (q15_t)0x7840, (q15_t)0x77b4, (q15_t)0x7723, (q15_t)0x768e,
+  (q15_t)0x75f4, (q15_t)0x7555, (q15_t)0x74b2, (q15_t)0x740b, (q15_t)0x735f, (q15_t)0x72af, (q15_t)0x71fa, (q15_t)0x7141,
+  (q15_t)0x7083, (q15_t)0x6fc1, (q15_t)0x6efb, (q15_t)0x6e30, (q15_t)0x6d62, (q15_t)0x6c8f, (q15_t)0x6bb8, (q15_t)0x6adc,
+  (q15_t)0x69fd, (q15_t)0x6919, (q15_t)0x6832, (q15_t)0x6746, (q15_t)0x6657, (q15_t)0x6563, (q15_t)0x646c, (q15_t)0x6371,
+  (q15_t)0x6271, (q15_t)0x616f, (q15_t)0x6068, (q15_t)0x5f5e, (q15_t)0x5e50, (q15_t)0x5d3e, (q15_t)0x5c29, (q15_t)0x5b10,
+  (q15_t)0x59f3, (q15_t)0x58d4, (q15_t)0x57b0, (q15_t)0x568a, (q15_t)0x5560, (q15_t)0x5433, (q15_t)0x5302, (q15_t)0x51ce,
+  (q15_t)0x5097, (q15_t)0x4f5e, (q15_t)0x4e21, (q15_t)0x4ce1, (q15_t)0x4b9e, (q15_t)0x4a58, (q15_t)0x490f, (q15_t)0x47c3,
+  (q15_t)0x4675, (q15_t)0x4524, (q15_t)0x43d0, (q15_t)0x427a, (q15_t)0x4121, (q15_t)0x3fc5, (q15_t)0x3e68, (q15_t)0x3d07,
+  (q15_t)0x3ba5, (q15_t)0x3a40, (q15_t)0x38d8, (q15_t)0x376f, (q15_t)0x3604, (q15_t)0x3496, (q15_t)0x3326, (q15_t)0x31b5,
+  (q15_t)0x3041, (q15_t)0x2ecc, (q15_t)0x2d55, (q15_t)0x2bdc, (q15_t)0x2a61, (q15_t)0x28e5, (q15_t)0x2767, (q15_t)0x25e8,
+  (q15_t)0x2467, (q15_t)0x22e5, (q15_t)0x2161, (q15_t)0x1fdc, (q15_t)0x1e56, (q15_t)0x1ccf, (q15_t)0x1b47, (q15_t)0x19bd,
+  (q15_t)0x1833, (q15_t)0x16a8, (q15_t)0x151b, (q15_t)0x138e, (q15_t)0x1201, (q15_t)0x1072, (q15_t)0xee3, (q15_t)0xd53,
+  (q15_t)0xbc3, (q15_t)0xa33, (q15_t)0x8a2, (q15_t)0x710, (q15_t)0x57f, (q15_t)0x3ed, (q15_t)0x25b, (q15_t)0xc9
+};
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512)
+    const q15_t __ALIGNED(4) WeightsQ15_512[1024] = {
+  (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7ffe, (q15_t)0xfed3,
+  (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ff8, (q15_t)0xfd41,
+  (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7fed, (q15_t)0xfbaf,
+  (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fdd, (q15_t)0xfa1d,
+  (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fc8, (q15_t)0xf88b,
+  (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fae, (q15_t)0xf6fa,
+  (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f8f, (q15_t)0xf569,
+  (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f6b, (q15_t)0xf3d9,
+  (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f43, (q15_t)0xf249,
+  (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f15, (q15_t)0xf0b9,
+  (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7efd, (q15_t)0xeff2, (q15_t)0x7ef0, (q15_t)0xef8e, (q15_t)0x7ee3, (q15_t)0xef2a,
+  (q15_t)0x7ed5, (q15_t)0xeec7, (q15_t)0x7ec8, (q15_t)0xee63, (q15_t)0x7eba, (q15_t)0xedff, (q15_t)0x7eab, (q15_t)0xed9c,
+  (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e8e, (q15_t)0xecd5, (q15_t)0x7e7f, (q15_t)0xec72, (q15_t)0x7e6f, (q15_t)0xec0e,
+  (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e4f, (q15_t)0xeb48, (q15_t)0x7e3f, (q15_t)0xeae5, (q15_t)0x7e2e, (q15_t)0xea81,
+  (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7e0c, (q15_t)0xe9bb, (q15_t)0x7dfa, (q15_t)0xe958, (q15_t)0x7de8, (q15_t)0xe8f6,
+  (q15_t)0x7dd6, (q15_t)0xe893, (q15_t)0x7dc3, (q15_t)0xe830, (q15_t)0x7db0, (q15_t)0xe7cd, (q15_t)0x7d9d, (q15_t)0xe76a,
+  (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d76, (q15_t)0xe6a5, (q15_t)0x7d62, (q15_t)0xe643, (q15_t)0x7d4e, (q15_t)0xe5e0,
+  (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7d24, (q15_t)0xe51c, (q15_t)0x7d0f, (q15_t)0xe4b9, (q15_t)0x7cf9, (q15_t)0xe457,
+  (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7ccd, (q15_t)0xe393, (q15_t)0x7cb7, (q15_t)0xe331, (q15_t)0x7ca0, (q15_t)0xe2cf,
+  (q15_t)0x7c89, (q15_t)0xe26d, (q15_t)0x7c71, (q15_t)0xe20b, (q15_t)0x7c5a, (q15_t)0xe1aa, (q15_t)0x7c42, (q15_t)0xe148,
+  (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7c11, (q15_t)0xe085, (q15_t)0x7bf8, (q15_t)0xe024, (q15_t)0x7bdf, (q15_t)0xdfc2,
+  (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7bac, (q15_t)0xdf00, (q15_t)0x7b92, (q15_t)0xde9f, (q15_t)0x7b77, (q15_t)0xde3e,
+  (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7b42, (q15_t)0xdd7c, (q15_t)0x7b26, (q15_t)0xdd1b, (q15_t)0x7b0b, (q15_t)0xdcbb,
+  (q15_t)0x7aef, (q15_t)0xdc5a, (q15_t)0x7ad3, (q15_t)0xdbf9, (q15_t)0x7ab6, (q15_t)0xdb99, (q15_t)0x7a9a, (q15_t)0xdb39,
+  (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a5f, (q15_t)0xda78, (q15_t)0x7a42, (q15_t)0xda18, (q15_t)0x7a24, (q15_t)0xd9b8,
+  (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x79e7, (q15_t)0xd8f9, (q15_t)0x79c8, (q15_t)0xd899, (q15_t)0x79a9, (q15_t)0xd839,
+  (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x796a, (q15_t)0xd77a, (q15_t)0x794a, (q15_t)0xd71b, (q15_t)0x792a, (q15_t)0xd6bc,
+  (q15_t)0x7909, (q15_t)0xd65d, (q15_t)0x78e8, (q15_t)0xd5fe, (q15_t)0x78c7, (q15_t)0xd59f, (q15_t)0x78a6, (q15_t)0xd540,
+  (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x7862, (q15_t)0xd483, (q15_t)0x7840, (q15_t)0xd424, (q15_t)0x781d, (q15_t)0xd3c6,
+  (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x77d7, (q15_t)0xd309, (q15_t)0x77b4, (q15_t)0xd2ab, (q15_t)0x7790, (q15_t)0xd24d,
+  (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x7747, (q15_t)0xd192, (q15_t)0x7723, (q15_t)0xd134, (q15_t)0x76fe, (q15_t)0xd0d7,
+  (q15_t)0x76d9, (q15_t)0xd079, (q15_t)0x76b3, (q15_t)0xd01c, (q15_t)0x768e, (q15_t)0xcfbf, (q15_t)0x7668, (q15_t)0xcf62,
+  (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x761b, (q15_t)0xcea8, (q15_t)0x75f4, (q15_t)0xce4b, (q15_t)0x75cc, (q15_t)0xcdef,
+  (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x757d, (q15_t)0xcd36, (q15_t)0x7555, (q15_t)0xccda, (q15_t)0x752d, (q15_t)0xcc7e,
+  (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x74db, (q15_t)0xcbc6, (q15_t)0x74b2, (q15_t)0xcb6a, (q15_t)0x7489, (q15_t)0xcb0e,
+  (q15_t)0x745f, (q15_t)0xcab3, (q15_t)0x7435, (q15_t)0xca58, (q15_t)0x740b, (q15_t)0xc9fc, (q15_t)0x73e0, (q15_t)0xc9a1,
+  (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x738a, (q15_t)0xc8ec, (q15_t)0x735f, (q15_t)0xc891, (q15_t)0x7333, (q15_t)0xc836,
+  (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x72db, (q15_t)0xc782, (q15_t)0x72af, (q15_t)0xc728, (q15_t)0x7282, (q15_t)0xc6ce,
+  (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x7227, (q15_t)0xc61a, (q15_t)0x71fa, (q15_t)0xc5c0, (q15_t)0x71cc, (q15_t)0xc567,
+  (q15_t)0x719e, (q15_t)0xc50e, (q15_t)0x716f, (q15_t)0xc4b4, (q15_t)0x7141, (q15_t)0xc45b, (q15_t)0x7112, (q15_t)0xc403,
+  (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x70b3, (q15_t)0xc351, (q15_t)0x7083, (q15_t)0xc2f9, (q15_t)0x7053, (q15_t)0xc2a0,
+  (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x6ff2, (q15_t)0xc1f0, (q15_t)0x6fc1, (q15_t)0xc198, (q15_t)0x6f90, (q15_t)0xc141,
+  (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6f2d, (q15_t)0xc092, (q15_t)0x6efb, (q15_t)0xc03b, (q15_t)0x6ec9, (q15_t)0xbfe3,
+  (q15_t)0x6e96, (q15_t)0xbf8d, (q15_t)0x6e63, (q15_t)0xbf36, (q15_t)0x6e30, (q15_t)0xbedf, (q15_t)0x6dfd, (q15_t)0xbe89,
+  (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6d96, (q15_t)0xbddc, (q15_t)0x6d62, (q15_t)0xbd86, (q15_t)0x6d2d, (q15_t)0xbd30,
+  (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6cc4, (q15_t)0xbc85, (q15_t)0x6c8f, (q15_t)0xbc30, (q15_t)0x6c59, (q15_t)0xbbdb,
+  (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6bee, (q15_t)0xbb31, (q15_t)0x6bb8, (q15_t)0xbadc, (q15_t)0x6b81, (q15_t)0xba88,
+  (q15_t)0x6b4a, (q15_t)0xba33, (q15_t)0x6b13, (q15_t)0xb9df, (q15_t)0x6adc, (q15_t)0xb98b, (q15_t)0x6aa5, (q15_t)0xb937,
+  (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x6a35, (q15_t)0xb890, (q15_t)0x69fd, (q15_t)0xb83d, (q15_t)0x69c4, (q15_t)0xb7ea,
+  (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x6953, (q15_t)0xb744, (q15_t)0x6919, (q15_t)0xb6f1, (q15_t)0x68e0, (q15_t)0xb69f,
+  (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x686c, (q15_t)0xb5fa, (q15_t)0x6832, (q15_t)0xb5a8, (q15_t)0x67f7, (q15_t)0xb557,
+  (q15_t)0x67bd, (q15_t)0xb505, (q15_t)0x6782, (q15_t)0xb4b4, (q15_t)0x6746, (q15_t)0xb462, (q15_t)0x670b, (q15_t)0xb411,
+  (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x6693, (q15_t)0xb370, (q15_t)0x6657, (q15_t)0xb31f, (q15_t)0x661a, (q15_t)0xb2cf,
+  (q15_t)0x65dd, (q15_t)0xb27f, (q15_t)0x65a0, (q15_t)0xb22f, (q15_t)0x6563, (q15_t)0xb1df, (q15_t)0x6526, (q15_t)0xb190,
+  (q15_t)0x64e8, (q15_t)0xb141, (q15_t)0x64aa, (q15_t)0xb0f1, (q15_t)0x646c, (q15_t)0xb0a2, (q15_t)0x642d, (q15_t)0xb054,
+  (q15_t)0x63ef, (q15_t)0xb005, (q15_t)0x63b0, (q15_t)0xafb7, (q15_t)0x6371, (q15_t)0xaf69, (q15_t)0x6331, (q15_t)0xaf1b,
+  (q15_t)0x62f2, (q15_t)0xaecd, (q15_t)0x62b2, (q15_t)0xae7f, (q15_t)0x6271, (q15_t)0xae32, (q15_t)0x6231, (q15_t)0xade4,
+  (q15_t)0x61f1, (q15_t)0xad97, (q15_t)0x61b0, (q15_t)0xad4b, (q15_t)0x616f, (q15_t)0xacfe, (q15_t)0x612d, (q15_t)0xacb2,
+  (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x60aa, (q15_t)0xac19, (q15_t)0x6068, (q15_t)0xabcd, (q15_t)0x6026, (q15_t)0xab82,
+  (q15_t)0x5fe3, (q15_t)0xab36, (q15_t)0x5fa0, (q15_t)0xaaeb, (q15_t)0x5f5e, (q15_t)0xaaa0, (q15_t)0x5f1a, (q15_t)0xaa55,
+  (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5e93, (q15_t)0xa9c0, (q15_t)0x5e50, (q15_t)0xa976, (q15_t)0x5e0b, (q15_t)0xa92c,
+  (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5d83, (q15_t)0xa899, (q15_t)0x5d3e, (q15_t)0xa850, (q15_t)0x5cf9, (q15_t)0xa807,
+  (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5c6e, (q15_t)0xa775, (q15_t)0x5c29, (q15_t)0xa72c, (q15_t)0x5be3, (q15_t)0xa6e4,
+  (q15_t)0x5b9d, (q15_t)0xa69c, (q15_t)0x5b56, (q15_t)0xa654, (q15_t)0x5b10, (q15_t)0xa60d, (q15_t)0x5ac9, (q15_t)0xa5c5,
+  (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5a3b, (q15_t)0xa537, (q15_t)0x59f3, (q15_t)0xa4f0, (q15_t)0x59ac, (q15_t)0xa4aa,
+  (q15_t)0x5964, (q15_t)0xa463, (q15_t)0x591c, (q15_t)0xa41d, (q15_t)0x58d4, (q15_t)0xa3d7, (q15_t)0x588b, (q15_t)0xa392,
+  (q15_t)0x5842, (q15_t)0xa34c, (q15_t)0x57f9, (q15_t)0xa307, (q15_t)0x57b0, (q15_t)0xa2c2, (q15_t)0x5767, (q15_t)0xa27d,
+  (q15_t)0x571d, (q15_t)0xa239, (q15_t)0x56d4, (q15_t)0xa1f5, (q15_t)0x568a, (q15_t)0xa1b0, (q15_t)0x5640, (q15_t)0xa16d,
+  (q15_t)0x55f5, (q15_t)0xa129, (q15_t)0x55ab, (q15_t)0xa0e6, (q15_t)0x5560, (q15_t)0xa0a2, (q15_t)0x5515, (q15_t)0xa060,
+  (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x547e, (q15_t)0x9fda, (q15_t)0x5433, (q15_t)0x9f98, (q15_t)0x53e7, (q15_t)0x9f56,
+  (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x534e, (q15_t)0x9ed3, (q15_t)0x5302, (q15_t)0x9e91, (q15_t)0x52b5, (q15_t)0x9e50,
+  (q15_t)0x5269, (q15_t)0x9e0f, (q15_t)0x521c, (q15_t)0x9dcf, (q15_t)0x51ce, (q15_t)0x9d8f, (q15_t)0x5181, (q15_t)0x9d4e,
+  (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x50e5, (q15_t)0x9ccf, (q15_t)0x5097, (q15_t)0x9c8f, (q15_t)0x5049, (q15_t)0x9c50,
+  (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4fac, (q15_t)0x9bd3, (q15_t)0x4f5e, (q15_t)0x9b94, (q15_t)0x4f0f, (q15_t)0x9b56,
+  (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4e70, (q15_t)0x9ada, (q15_t)0x4e21, (q15_t)0x9a9d, (q15_t)0x4dd1, (q15_t)0x9a60,
+  (q15_t)0x4d81, (q15_t)0x9a23, (q15_t)0x4d31, (q15_t)0x99e6, (q15_t)0x4ce1, (q15_t)0x99a9, (q15_t)0x4c90, (q15_t)0x996d,
+  (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4bef, (q15_t)0x98f5, (q15_t)0x4b9e, (q15_t)0x98ba, (q15_t)0x4b4c, (q15_t)0x987e,
+  (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x4aa9, (q15_t)0x9809, (q15_t)0x4a58, (q15_t)0x97ce, (q15_t)0x4a06, (q15_t)0x9794,
+  (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x4961, (q15_t)0x9720, (q15_t)0x490f, (q15_t)0x96e7, (q15_t)0x48bc, (q15_t)0x96ad,
+  (q15_t)0x4869, (q15_t)0x9674, (q15_t)0x4816, (q15_t)0x963c, (q15_t)0x47c3, (q15_t)0x9603, (q15_t)0x4770, (q15_t)0x95cb,
+  (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x46c9, (q15_t)0x955b, (q15_t)0x4675, (q15_t)0x9524, (q15_t)0x4621, (q15_t)0x94ed,
+  (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x4578, (q15_t)0x947f, (q15_t)0x4524, (q15_t)0x9448, (q15_t)0x44cf, (q15_t)0x9412,
+  (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4425, (q15_t)0x93a7, (q15_t)0x43d0, (q15_t)0x9371, (q15_t)0x437b, (q15_t)0x933c,
+  (q15_t)0x4325, (q15_t)0x9307, (q15_t)0x42d0, (q15_t)0x92d3, (q15_t)0x427a, (q15_t)0x929e, (q15_t)0x4224, (q15_t)0x926a,
+  (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x4177, (q15_t)0x9203, (q15_t)0x4121, (q15_t)0x91d0, (q15_t)0x40ca, (q15_t)0x919d,
+  (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x401d, (q15_t)0x9137, (q15_t)0x3fc5, (q15_t)0x9105, (q15_t)0x3f6e, (q15_t)0x90d3,
+  (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3ebf, (q15_t)0x9070, (q15_t)0x3e68, (q15_t)0x903f, (q15_t)0x3e10, (q15_t)0x900e,
+  (q15_t)0x3db8, (q15_t)0x8fdd, (q15_t)0x3d60, (q15_t)0x8fad, (q15_t)0x3d07, (q15_t)0x8f7d, (q15_t)0x3caf, (q15_t)0x8f4d,
+  (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3bfd, (q15_t)0x8eee, (q15_t)0x3ba5, (q15_t)0x8ebf, (q15_t)0x3b4c, (q15_t)0x8e91,
+  (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x3a99, (q15_t)0x8e34, (q15_t)0x3a40, (q15_t)0x8e06, (q15_t)0x39e6, (q15_t)0x8dd9,
+  (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3932, (q15_t)0x8d7e, (q15_t)0x38d8, (q15_t)0x8d51, (q15_t)0x387e, (q15_t)0x8d25,
+  (q15_t)0x3824, (q15_t)0x8cf9, (q15_t)0x37ca, (q15_t)0x8ccd, (q15_t)0x376f, (q15_t)0x8ca1, (q15_t)0x3714, (q15_t)0x8c76,
+  (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x365f, (q15_t)0x8c20, (q15_t)0x3604, (q15_t)0x8bf5, (q15_t)0x35a8, (q15_t)0x8bcb,
+  (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x34f2, (q15_t)0x8b77, (q15_t)0x3496, (q15_t)0x8b4e, (q15_t)0x343a, (q15_t)0x8b25,
+  (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x3382, (q15_t)0x8ad3, (q15_t)0x3326, (q15_t)0x8aab, (q15_t)0x32ca, (q15_t)0x8a83,
+  (q15_t)0x326e, (q15_t)0x8a5b, (q15_t)0x3211, (q15_t)0x8a34, (q15_t)0x31b5, (q15_t)0x8a0c, (q15_t)0x3158, (q15_t)0x89e5,
+  (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x309e, (q15_t)0x8998, (q15_t)0x3041, (q15_t)0x8972, (q15_t)0x2fe4, (q15_t)0x894d,
+  (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2f29, (q15_t)0x8902, (q15_t)0x2ecc, (q15_t)0x88dd, (q15_t)0x2e6e, (q15_t)0x88b9,
+  (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2db3, (q15_t)0x8870, (q15_t)0x2d55, (q15_t)0x884c, (q15_t)0x2cf7, (q15_t)0x8829,
+  (q15_t)0x2c98, (q15_t)0x8806, (q15_t)0x2c3a, (q15_t)0x87e3, (q15_t)0x2bdc, (q15_t)0x87c0, (q15_t)0x2b7d, (q15_t)0x879e,
+  (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x2ac0, (q15_t)0x875a, (q15_t)0x2a61, (q15_t)0x8739, (q15_t)0x2a02, (q15_t)0x8718,
+  (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x2944, (q15_t)0x86d6, (q15_t)0x28e5, (q15_t)0x86b6, (q15_t)0x2886, (q15_t)0x8696,
+  (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x27c7, (q15_t)0x8657, (q15_t)0x2767, (q15_t)0x8638, (q15_t)0x2707, (q15_t)0x8619,
+  (q15_t)0x26a8, (q15_t)0x85fb, (q15_t)0x2648, (q15_t)0x85dc, (q15_t)0x25e8, (q15_t)0x85be, (q15_t)0x2588, (q15_t)0x85a1,
+  (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x24c7, (q15_t)0x8566, (q15_t)0x2467, (q15_t)0x854a, (q15_t)0x2407, (q15_t)0x852d,
+  (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x2345, (q15_t)0x84f5, (q15_t)0x22e5, (q15_t)0x84da, (q15_t)0x2284, (q15_t)0x84be,
+  (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x21c2, (q15_t)0x8489, (q15_t)0x2161, (q15_t)0x846e, (q15_t)0x2100, (q15_t)0x8454,
+  (q15_t)0x209f, (q15_t)0x843b, (q15_t)0x203e, (q15_t)0x8421, (q15_t)0x1fdc, (q15_t)0x8408, (q15_t)0x1f7b, (q15_t)0x83ef,
+  (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1eb8, (q15_t)0x83be, (q15_t)0x1e56, (q15_t)0x83a6, (q15_t)0x1df5, (q15_t)0x838f,
+  (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1d31, (q15_t)0x8360, (q15_t)0x1ccf, (q15_t)0x8349, (q15_t)0x1c6d, (q15_t)0x8333,
+  (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1ba9, (q15_t)0x8307, (q15_t)0x1b47, (q15_t)0x82f1, (q15_t)0x1ae4, (q15_t)0x82dc,
+  (q15_t)0x1a82, (q15_t)0x82c7, (q15_t)0x1a20, (q15_t)0x82b2, (q15_t)0x19bd, (q15_t)0x829e, (q15_t)0x195b, (q15_t)0x828a,
+  (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x1896, (q15_t)0x8263, (q15_t)0x1833, (q15_t)0x8250, (q15_t)0x17d0, (q15_t)0x823d,
+  (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x170a, (q15_t)0x8218, (q15_t)0x16a8, (q15_t)0x8206, (q15_t)0x1645, (q15_t)0x81f4,
+  (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x157f, (q15_t)0x81d2, (q15_t)0x151b, (q15_t)0x81c1, (q15_t)0x14b8, (q15_t)0x81b1,
+  (q15_t)0x1455, (q15_t)0x81a1, (q15_t)0x13f2, (q15_t)0x8191, (q15_t)0x138e, (q15_t)0x8181, (q15_t)0x132b, (q15_t)0x8172,
+  (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x1264, (q15_t)0x8155, (q15_t)0x1201, (q15_t)0x8146, (q15_t)0x119d, (q15_t)0x8138,
+  (q15_t)0x1139, (q15_t)0x812b, (q15_t)0x10d6, (q15_t)0x811d, (q15_t)0x1072, (q15_t)0x8110, (q15_t)0x100e, (q15_t)0x8103,
+  (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xf47, (q15_t)0x80eb, (q15_t)0xee3, (q15_t)0x80df, (q15_t)0xe7f, (q15_t)0x80d3,
+  (q15_t)0xe1b, (q15_t)0x80c8, (q15_t)0xdb7, (q15_t)0x80bd, (q15_t)0xd53, (q15_t)0x80b3, (q15_t)0xcef, (q15_t)0x80a8,
+  (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xc27, (q15_t)0x8095, (q15_t)0xbc3, (q15_t)0x808b, (q15_t)0xb5f, (q15_t)0x8082,
+  (q15_t)0xafb, (q15_t)0x8079, (q15_t)0xa97, (q15_t)0x8071, (q15_t)0xa33, (q15_t)0x8069, (q15_t)0x9ce, (q15_t)0x8061,
+  (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x906, (q15_t)0x8052, (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x83d, (q15_t)0x8044,
+  (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x775, (q15_t)0x8038, (q15_t)0x710, (q15_t)0x8032, (q15_t)0x6ac, (q15_t)0x802d,
+  (q15_t)0x647, (q15_t)0x8028, (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x51a, (q15_t)0x801b,
+  (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x451, (q15_t)0x8013, (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x388, (q15_t)0x800d,
+  (q15_t)0x324, (q15_t)0x800a, (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x1f6, (q15_t)0x8004,
+  (q15_t)0x192, (q15_t)0x8003, (q15_t)0x12d, (q15_t)0x8002, (q15_t)0xc9, (q15_t)0x8001, (q15_t)0x64, (q15_t)0x8001
+};
+
+    const q15_t __ALIGNED(4) cos_factorsQ15_512[512] = {
+  (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ff9, (q15_t)0x7ff7,
+  (q15_t)0x7ff4, (q15_t)0x7ff2, (q15_t)0x7fee, (q15_t)0x7feb, (q15_t)0x7fe7, (q15_t)0x7fe3, (q15_t)0x7fdf, (q15_t)0x7fda,
+  (q15_t)0x7fd6, (q15_t)0x7fd0, (q15_t)0x7fcb, (q15_t)0x7fc5, (q15_t)0x7fbf, (q15_t)0x7fb8, (q15_t)0x7fb1, (q15_t)0x7faa,
+  (q15_t)0x7fa3, (q15_t)0x7f9b, (q15_t)0x7f93, (q15_t)0x7f8b, (q15_t)0x7f82, (q15_t)0x7f79, (q15_t)0x7f70, (q15_t)0x7f67,
+  (q15_t)0x7f5d, (q15_t)0x7f53, (q15_t)0x7f48, (q15_t)0x7f3d, (q15_t)0x7f32, (q15_t)0x7f27, (q15_t)0x7f1b, (q15_t)0x7f0f,
+  (q15_t)0x7f03, (q15_t)0x7ef6, (q15_t)0x7ee9, (q15_t)0x7edc, (q15_t)0x7ecf, (q15_t)0x7ec1, (q15_t)0x7eb3, (q15_t)0x7ea4,
+  (q15_t)0x7e95, (q15_t)0x7e86, (q15_t)0x7e77, (q15_t)0x7e67, (q15_t)0x7e57, (q15_t)0x7e47, (q15_t)0x7e37, (q15_t)0x7e26,
+  (q15_t)0x7e14, (q15_t)0x7e03, (q15_t)0x7df1, (q15_t)0x7ddf, (q15_t)0x7dcd, (q15_t)0x7dba, (q15_t)0x7da7, (q15_t)0x7d94,
+  (q15_t)0x7d80, (q15_t)0x7d6c, (q15_t)0x7d58, (q15_t)0x7d43, (q15_t)0x7d2f, (q15_t)0x7d19, (q15_t)0x7d04, (q15_t)0x7cee,
+  (q15_t)0x7cd8, (q15_t)0x7cc2, (q15_t)0x7cab, (q15_t)0x7c94, (q15_t)0x7c7d, (q15_t)0x7c66, (q15_t)0x7c4e, (q15_t)0x7c36,
+  (q15_t)0x7c1d, (q15_t)0x7c05, (q15_t)0x7beb, (q15_t)0x7bd2, (q15_t)0x7bb9, (q15_t)0x7b9f, (q15_t)0x7b84, (q15_t)0x7b6a,
+  (q15_t)0x7b4f, (q15_t)0x7b34, (q15_t)0x7b19, (q15_t)0x7afd, (q15_t)0x7ae1, (q15_t)0x7ac5, (q15_t)0x7aa8, (q15_t)0x7a8b,
+  (q15_t)0x7a6e, (q15_t)0x7a50, (q15_t)0x7a33, (q15_t)0x7a15, (q15_t)0x79f6, (q15_t)0x79d8, (q15_t)0x79b9, (q15_t)0x7999,
+  (q15_t)0x797a, (q15_t)0x795a, (q15_t)0x793a, (q15_t)0x7919, (q15_t)0x78f9, (q15_t)0x78d8, (q15_t)0x78b6, (q15_t)0x7895,
+  (q15_t)0x7873, (q15_t)0x7851, (q15_t)0x782e, (q15_t)0x780c, (q15_t)0x77e9, (q15_t)0x77c5, (q15_t)0x77a2, (q15_t)0x777e,
+  (q15_t)0x775a, (q15_t)0x7735, (q15_t)0x7710, (q15_t)0x76eb, (q15_t)0x76c6, (q15_t)0x76a0, (q15_t)0x767b, (q15_t)0x7654,
+  (q15_t)0x762e, (q15_t)0x7607, (q15_t)0x75e0, (q15_t)0x75b9, (q15_t)0x7591, (q15_t)0x7569, (q15_t)0x7541, (q15_t)0x7519,
+  (q15_t)0x74f0, (q15_t)0x74c7, (q15_t)0x749e, (q15_t)0x7474, (q15_t)0x744a, (q15_t)0x7420, (q15_t)0x73f6, (q15_t)0x73cb,
+  (q15_t)0x73a0, (q15_t)0x7375, (q15_t)0x7349, (q15_t)0x731d, (q15_t)0x72f1, (q15_t)0x72c5, (q15_t)0x7298, (q15_t)0x726b,
+  (q15_t)0x723e, (q15_t)0x7211, (q15_t)0x71e3, (q15_t)0x71b5, (q15_t)0x7186, (q15_t)0x7158, (q15_t)0x7129, (q15_t)0x70fa,
+  (q15_t)0x70cb, (q15_t)0x709b, (q15_t)0x706b, (q15_t)0x703b, (q15_t)0x700a, (q15_t)0x6fda, (q15_t)0x6fa9, (q15_t)0x6f77,
+  (q15_t)0x6f46, (q15_t)0x6f14, (q15_t)0x6ee2, (q15_t)0x6eaf, (q15_t)0x6e7d, (q15_t)0x6e4a, (q15_t)0x6e17, (q15_t)0x6de3,
+  (q15_t)0x6db0, (q15_t)0x6d7c, (q15_t)0x6d48, (q15_t)0x6d13, (q15_t)0x6cde, (q15_t)0x6ca9, (q15_t)0x6c74, (q15_t)0x6c3f,
+  (q15_t)0x6c09, (q15_t)0x6bd3, (q15_t)0x6b9c, (q15_t)0x6b66, (q15_t)0x6b2f, (q15_t)0x6af8, (q15_t)0x6ac1, (q15_t)0x6a89,
+  (q15_t)0x6a51, (q15_t)0x6a19, (q15_t)0x69e1, (q15_t)0x69a8, (q15_t)0x696f, (q15_t)0x6936, (q15_t)0x68fd, (q15_t)0x68c3,
+  (q15_t)0x6889, (q15_t)0x684f, (q15_t)0x6815, (q15_t)0x67da, (q15_t)0x679f, (q15_t)0x6764, (q15_t)0x6729, (q15_t)0x66ed,
+  (q15_t)0x66b1, (q15_t)0x6675, (q15_t)0x6639, (q15_t)0x65fc, (q15_t)0x65bf, (q15_t)0x6582, (q15_t)0x6545, (q15_t)0x6507,
+  (q15_t)0x64c9, (q15_t)0x648b, (q15_t)0x644d, (q15_t)0x640e, (q15_t)0x63cf, (q15_t)0x6390, (q15_t)0x6351, (q15_t)0x6311,
+  (q15_t)0x62d2, (q15_t)0x6292, (q15_t)0x6251, (q15_t)0x6211, (q15_t)0x61d0, (q15_t)0x618f, (q15_t)0x614e, (q15_t)0x610d,
+  (q15_t)0x60cb, (q15_t)0x6089, (q15_t)0x6047, (q15_t)0x6004, (q15_t)0x5fc2, (q15_t)0x5f7f, (q15_t)0x5f3c, (q15_t)0x5ef9,
+  (q15_t)0x5eb5, (q15_t)0x5e71, (q15_t)0x5e2d, (q15_t)0x5de9, (q15_t)0x5da5, (q15_t)0x5d60, (q15_t)0x5d1b, (q15_t)0x5cd6,
+  (q15_t)0x5c91, (q15_t)0x5c4b, (q15_t)0x5c06, (q15_t)0x5bc0, (q15_t)0x5b79, (q15_t)0x5b33, (q15_t)0x5aec, (q15_t)0x5aa5,
+  (q15_t)0x5a5e, (q15_t)0x5a17, (q15_t)0x59d0, (q15_t)0x5988, (q15_t)0x5940, (q15_t)0x58f8, (q15_t)0x58af, (q15_t)0x5867,
+  (q15_t)0x581e, (q15_t)0x57d5, (q15_t)0x578c, (q15_t)0x5742, (q15_t)0x56f9, (q15_t)0x56af, (q15_t)0x5665, (q15_t)0x561a,
+  (q15_t)0x55d0, (q15_t)0x5585, (q15_t)0x553a, (q15_t)0x54ef, (q15_t)0x54a4, (q15_t)0x5458, (q15_t)0x540d, (q15_t)0x53c1,
+  (q15_t)0x5375, (q15_t)0x5328, (q15_t)0x52dc, (q15_t)0x528f, (q15_t)0x5242, (q15_t)0x51f5, (q15_t)0x51a8, (q15_t)0x515a,
+  (q15_t)0x510c, (q15_t)0x50bf, (q15_t)0x5070, (q15_t)0x5022, (q15_t)0x4fd4, (q15_t)0x4f85, (q15_t)0x4f36, (q15_t)0x4ee7,
+  (q15_t)0x4e98, (q15_t)0x4e48, (q15_t)0x4df9, (q15_t)0x4da9, (q15_t)0x4d59, (q15_t)0x4d09, (q15_t)0x4cb8, (q15_t)0x4c68,
+  (q15_t)0x4c17, (q15_t)0x4bc6, (q15_t)0x4b75, (q15_t)0x4b24, (q15_t)0x4ad2, (q15_t)0x4a81, (q15_t)0x4a2f, (q15_t)0x49dd,
+  (q15_t)0x498a, (q15_t)0x4938, (q15_t)0x48e6, (q15_t)0x4893, (q15_t)0x4840, (q15_t)0x47ed, (q15_t)0x479a, (q15_t)0x4746,
+  (q15_t)0x46f3, (q15_t)0x469f, (q15_t)0x464b, (q15_t)0x45f7, (q15_t)0x45a3, (q15_t)0x454e, (q15_t)0x44fa, (q15_t)0x44a5,
+  (q15_t)0x4450, (q15_t)0x43fb, (q15_t)0x43a5, (q15_t)0x4350, (q15_t)0x42fa, (q15_t)0x42a5, (q15_t)0x424f, (q15_t)0x41f9,
+  (q15_t)0x41a2, (q15_t)0x414c, (q15_t)0x40f6, (q15_t)0x409f, (q15_t)0x4048, (q15_t)0x3ff1, (q15_t)0x3f9a, (q15_t)0x3f43,
+  (q15_t)0x3eeb, (q15_t)0x3e93, (q15_t)0x3e3c, (q15_t)0x3de4, (q15_t)0x3d8c, (q15_t)0x3d33, (q15_t)0x3cdb, (q15_t)0x3c83,
+  (q15_t)0x3c2a, (q15_t)0x3bd1, (q15_t)0x3b78, (q15_t)0x3b1f, (q15_t)0x3ac6, (q15_t)0x3a6c, (q15_t)0x3a13, (q15_t)0x39b9,
+  (q15_t)0x395f, (q15_t)0x3906, (q15_t)0x38ab, (q15_t)0x3851, (q15_t)0x37f7, (q15_t)0x379c, (q15_t)0x3742, (q15_t)0x36e7,
+  (q15_t)0x368c, (q15_t)0x3631, (q15_t)0x35d6, (q15_t)0x357b, (q15_t)0x351f, (q15_t)0x34c4, (q15_t)0x3468, (q15_t)0x340c,
+  (q15_t)0x33b0, (q15_t)0x3354, (q15_t)0x32f8, (q15_t)0x329c, (q15_t)0x3240, (q15_t)0x31e3, (q15_t)0x3186, (q15_t)0x312a,
+  (q15_t)0x30cd, (q15_t)0x3070, (q15_t)0x3013, (q15_t)0x2fb5, (q15_t)0x2f58, (q15_t)0x2efb, (q15_t)0x2e9d, (q15_t)0x2e3f,
+  (q15_t)0x2de2, (q15_t)0x2d84, (q15_t)0x2d26, (q15_t)0x2cc8, (q15_t)0x2c69, (q15_t)0x2c0b, (q15_t)0x2bad, (q15_t)0x2b4e,
+  (q15_t)0x2aef, (q15_t)0x2a91, (q15_t)0x2a32, (q15_t)0x29d3, (q15_t)0x2974, (q15_t)0x2915, (q15_t)0x28b5, (q15_t)0x2856,
+  (q15_t)0x27f6, (q15_t)0x2797, (q15_t)0x2737, (q15_t)0x26d8, (q15_t)0x2678, (q15_t)0x2618, (q15_t)0x25b8, (q15_t)0x2558,
+  (q15_t)0x24f7, (q15_t)0x2497, (q15_t)0x2437, (q15_t)0x23d6, (q15_t)0x2376, (q15_t)0x2315, (q15_t)0x22b4, (q15_t)0x2254,
+  (q15_t)0x21f3, (q15_t)0x2192, (q15_t)0x2131, (q15_t)0x20d0, (q15_t)0x206e, (q15_t)0x200d, (q15_t)0x1fac, (q15_t)0x1f4a,
+  (q15_t)0x1ee9, (q15_t)0x1e87, (q15_t)0x1e25, (q15_t)0x1dc4, (q15_t)0x1d62, (q15_t)0x1d00, (q15_t)0x1c9e, (q15_t)0x1c3c,
+  (q15_t)0x1bda, (q15_t)0x1b78, (q15_t)0x1b16, (q15_t)0x1ab3, (q15_t)0x1a51, (q15_t)0x19ef, (q15_t)0x198c, (q15_t)0x192a,
+  (q15_t)0x18c7, (q15_t)0x1864, (q15_t)0x1802, (q15_t)0x179f, (q15_t)0x173c, (q15_t)0x16d9, (q15_t)0x1676, (q15_t)0x1613,
+  (q15_t)0x15b0, (q15_t)0x154d, (q15_t)0x14ea, (q15_t)0x1487, (q15_t)0x1423, (q15_t)0x13c0, (q15_t)0x135d, (q15_t)0x12f9,
+  (q15_t)0x1296, (q15_t)0x1232, (q15_t)0x11cf, (q15_t)0x116b, (q15_t)0x1108, (q15_t)0x10a4, (q15_t)0x1040, (q15_t)0xfdd,
+  (q15_t)0xf79, (q15_t)0xf15, (q15_t)0xeb1, (q15_t)0xe4d, (q15_t)0xde9, (q15_t)0xd85, (q15_t)0xd21, (q15_t)0xcbd,
+  (q15_t)0xc59, (q15_t)0xbf5, (q15_t)0xb91, (q15_t)0xb2d, (q15_t)0xac9, (q15_t)0xa65, (q15_t)0xa00, (q15_t)0x99c,
+  (q15_t)0x938, (q15_t)0x8d4, (q15_t)0x86f, (q15_t)0x80b, (q15_t)0x7a7, (q15_t)0x742, (q15_t)0x6de, (q15_t)0x67a,
+  (q15_t)0x615, (q15_t)0x5b1, (q15_t)0x54c, (q15_t)0x4e8, (q15_t)0x483, (q15_t)0x41f, (q15_t)0x3ba, (q15_t)0x356,
+  (q15_t)0x2f1, (q15_t)0x28d, (q15_t)0x228, (q15_t)0x1c4, (q15_t)0x15f, (q15_t)0xfb, (q15_t)0x96, (q15_t)0x32
+};
+
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048)
+    const q15_t __ALIGNED(4) WeightsQ15_2048[4096] = {
+  (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffb5,
+  (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff83, (q15_t)0x7fff, (q15_t)0xff6a, (q15_t)0x7fff, (q15_t)0xff51,
+  (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff1e, (q15_t)0x7fff, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfeec,
+  (q15_t)0x7ffe, (q15_t)0xfed3, (q15_t)0x7ffe, (q15_t)0xfeba, (q15_t)0x7ffe, (q15_t)0xfea1, (q15_t)0x7ffd, (q15_t)0xfe88,
+  (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffd, (q15_t)0xfe55, (q15_t)0x7ffc, (q15_t)0xfe3c, (q15_t)0x7ffc, (q15_t)0xfe23,
+  (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffb, (q15_t)0xfdf1, (q15_t)0x7ffb, (q15_t)0xfdd8, (q15_t)0x7ffa, (q15_t)0xfdbe,
+  (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ff9, (q15_t)0xfd8c, (q15_t)0x7ff9, (q15_t)0xfd73, (q15_t)0x7ff8, (q15_t)0xfd5a,
+  (q15_t)0x7ff8, (q15_t)0xfd41, (q15_t)0x7ff7, (q15_t)0xfd28, (q15_t)0x7ff7, (q15_t)0xfd0f, (q15_t)0x7ff6, (q15_t)0xfcf5,
+  (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff5, (q15_t)0xfcc3, (q15_t)0x7ff4, (q15_t)0xfcaa, (q15_t)0x7ff4, (q15_t)0xfc91,
+  (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff2, (q15_t)0xfc5f, (q15_t)0x7ff2, (q15_t)0xfc46, (q15_t)0x7ff1, (q15_t)0xfc2c,
+  (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7fef, (q15_t)0xfbfa, (q15_t)0x7fee, (q15_t)0xfbe1, (q15_t)0x7fee, (q15_t)0xfbc8,
+  (q15_t)0x7fed, (q15_t)0xfbaf, (q15_t)0x7fec, (q15_t)0xfb96, (q15_t)0x7feb, (q15_t)0xfb7d, (q15_t)0x7fea, (q15_t)0xfb64,
+  (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe8, (q15_t)0xfb31, (q15_t)0x7fe7, (q15_t)0xfb18, (q15_t)0x7fe6, (q15_t)0xfaff,
+  (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe4, (q15_t)0xfacd, (q15_t)0x7fe3, (q15_t)0xfab4, (q15_t)0x7fe2, (q15_t)0xfa9b,
+  (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fe0, (q15_t)0xfa68, (q15_t)0x7fdf, (q15_t)0xfa4f, (q15_t)0x7fde, (q15_t)0xfa36,
+  (q15_t)0x7fdd, (q15_t)0xfa1d, (q15_t)0x7fdc, (q15_t)0xfa04, (q15_t)0x7fda, (q15_t)0xf9eb, (q15_t)0x7fd9, (q15_t)0xf9d2,
+  (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd7, (q15_t)0xf9a0, (q15_t)0x7fd6, (q15_t)0xf986, (q15_t)0x7fd4, (q15_t)0xf96d,
+  (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fd2, (q15_t)0xf93b, (q15_t)0x7fd0, (q15_t)0xf922, (q15_t)0x7fcf, (q15_t)0xf909,
+  (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fcc, (q15_t)0xf8d7, (q15_t)0x7fcb, (q15_t)0xf8be, (q15_t)0x7fc9, (q15_t)0xf8a5,
+  (q15_t)0x7fc8, (q15_t)0xf88b, (q15_t)0x7fc6, (q15_t)0xf872, (q15_t)0x7fc5, (q15_t)0xf859, (q15_t)0x7fc3, (q15_t)0xf840,
+  (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fc0, (q15_t)0xf80e, (q15_t)0x7fbf, (q15_t)0xf7f5, (q15_t)0x7fbd, (q15_t)0xf7dc,
+  (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fba, (q15_t)0xf7aa, (q15_t)0x7fb8, (q15_t)0xf791, (q15_t)0x7fb7, (q15_t)0xf778,
+  (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fb3, (q15_t)0xf745, (q15_t)0x7fb1, (q15_t)0xf72c, (q15_t)0x7fb0, (q15_t)0xf713,
+  (q15_t)0x7fae, (q15_t)0xf6fa, (q15_t)0x7fac, (q15_t)0xf6e1, (q15_t)0x7faa, (q15_t)0xf6c8, (q15_t)0x7fa9, (q15_t)0xf6af,
+  (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7fa5, (q15_t)0xf67d, (q15_t)0x7fa3, (q15_t)0xf664, (q15_t)0x7fa1, (q15_t)0xf64b,
+  (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f9d, (q15_t)0xf619, (q15_t)0x7f9b, (q15_t)0xf600, (q15_t)0x7f99, (q15_t)0xf5e7,
+  (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f95, (q15_t)0xf5b4, (q15_t)0x7f93, (q15_t)0xf59b, (q15_t)0x7f91, (q15_t)0xf582,
+  (q15_t)0x7f8f, (q15_t)0xf569, (q15_t)0x7f8d, (q15_t)0xf550, (q15_t)0x7f8b, (q15_t)0xf537, (q15_t)0x7f89, (q15_t)0xf51e,
+  (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f85, (q15_t)0xf4ec, (q15_t)0x7f82, (q15_t)0xf4d3, (q15_t)0x7f80, (q15_t)0xf4ba,
+  (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f7c, (q15_t)0xf488, (q15_t)0x7f79, (q15_t)0xf46f, (q15_t)0x7f77, (q15_t)0xf456,
+  (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f72, (q15_t)0xf424, (q15_t)0x7f70, (q15_t)0xf40b, (q15_t)0x7f6e, (q15_t)0xf3f2,
+  (q15_t)0x7f6b, (q15_t)0xf3d9, (q15_t)0x7f69, (q15_t)0xf3c0, (q15_t)0x7f67, (q15_t)0xf3a7, (q15_t)0x7f64, (q15_t)0xf38e,
+  (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f5f, (q15_t)0xf35c, (q15_t)0x7f5d, (q15_t)0xf343, (q15_t)0x7f5a, (q15_t)0xf32a,
+  (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f55, (q15_t)0xf2f8, (q15_t)0x7f53, (q15_t)0xf2df, (q15_t)0x7f50, (q15_t)0xf2c6,
+  (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f4b, (q15_t)0xf294, (q15_t)0x7f48, (q15_t)0xf27b, (q15_t)0x7f45, (q15_t)0xf262,
+  (q15_t)0x7f43, (q15_t)0xf249, (q15_t)0x7f40, (q15_t)0xf230, (q15_t)0x7f3d, (q15_t)0xf217, (q15_t)0x7f3b, (q15_t)0xf1fe,
+  (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f35, (q15_t)0xf1cc, (q15_t)0x7f32, (q15_t)0xf1b3, (q15_t)0x7f2f, (q15_t)0xf19a,
+  (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f2a, (q15_t)0xf168, (q15_t)0x7f27, (q15_t)0xf14f, (q15_t)0x7f24, (q15_t)0xf136,
+  (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f1e, (q15_t)0xf104, (q15_t)0x7f1b, (q15_t)0xf0eb, (q15_t)0x7f18, (q15_t)0xf0d2,
+  (q15_t)0x7f15, (q15_t)0xf0b9, (q15_t)0x7f12, (q15_t)0xf0a0, (q15_t)0x7f0f, (q15_t)0xf087, (q15_t)0x7f0c, (q15_t)0xf06e,
+  (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7f06, (q15_t)0xf03c, (q15_t)0x7f03, (q15_t)0xf023, (q15_t)0x7f00, (q15_t)0xf00b,
+  (q15_t)0x7efd, (q15_t)0xeff2, (q15_t)0x7ef9, (q15_t)0xefd9, (q15_t)0x7ef6, (q15_t)0xefc0, (q15_t)0x7ef3, (q15_t)0xefa7,
+  (q15_t)0x7ef0, (q15_t)0xef8e, (q15_t)0x7eed, (q15_t)0xef75, (q15_t)0x7ee9, (q15_t)0xef5c, (q15_t)0x7ee6, (q15_t)0xef43,
+  (q15_t)0x7ee3, (q15_t)0xef2a, (q15_t)0x7edf, (q15_t)0xef11, (q15_t)0x7edc, (q15_t)0xeef8, (q15_t)0x7ed9, (q15_t)0xeedf,
+  (q15_t)0x7ed5, (q15_t)0xeec7, (q15_t)0x7ed2, (q15_t)0xeeae, (q15_t)0x7ecf, (q15_t)0xee95, (q15_t)0x7ecb, (q15_t)0xee7c,
+  (q15_t)0x7ec8, (q15_t)0xee63, (q15_t)0x7ec4, (q15_t)0xee4a, (q15_t)0x7ec1, (q15_t)0xee31, (q15_t)0x7ebd, (q15_t)0xee18,
+  (q15_t)0x7eba, (q15_t)0xedff, (q15_t)0x7eb6, (q15_t)0xede7, (q15_t)0x7eb3, (q15_t)0xedce, (q15_t)0x7eaf, (q15_t)0xedb5,
+  (q15_t)0x7eab, (q15_t)0xed9c, (q15_t)0x7ea8, (q15_t)0xed83, (q15_t)0x7ea4, (q15_t)0xed6a, (q15_t)0x7ea1, (q15_t)0xed51,
+  (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e99, (q15_t)0xed20, (q15_t)0x7e95, (q15_t)0xed07, (q15_t)0x7e92, (q15_t)0xecee,
+  (q15_t)0x7e8e, (q15_t)0xecd5, (q15_t)0x7e8a, (q15_t)0xecbc, (q15_t)0x7e86, (q15_t)0xeca3, (q15_t)0x7e83, (q15_t)0xec8a,
+  (q15_t)0x7e7f, (q15_t)0xec72, (q15_t)0x7e7b, (q15_t)0xec59, (q15_t)0x7e77, (q15_t)0xec40, (q15_t)0x7e73, (q15_t)0xec27,
+  (q15_t)0x7e6f, (q15_t)0xec0e, (q15_t)0x7e6b, (q15_t)0xebf5, (q15_t)0x7e67, (q15_t)0xebdd, (q15_t)0x7e63, (q15_t)0xebc4,
+  (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e5b, (q15_t)0xeb92, (q15_t)0x7e57, (q15_t)0xeb79, (q15_t)0x7e53, (q15_t)0xeb61,
+  (q15_t)0x7e4f, (q15_t)0xeb48, (q15_t)0x7e4b, (q15_t)0xeb2f, (q15_t)0x7e47, (q15_t)0xeb16, (q15_t)0x7e43, (q15_t)0xeafd,
+  (q15_t)0x7e3f, (q15_t)0xeae5, (q15_t)0x7e3b, (q15_t)0xeacc, (q15_t)0x7e37, (q15_t)0xeab3, (q15_t)0x7e32, (q15_t)0xea9a,
+  (q15_t)0x7e2e, (q15_t)0xea81, (q15_t)0x7e2a, (q15_t)0xea69, (q15_t)0x7e26, (q15_t)0xea50, (q15_t)0x7e21, (q15_t)0xea37,
+  (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7e19, (q15_t)0xea06, (q15_t)0x7e14, (q15_t)0xe9ed, (q15_t)0x7e10, (q15_t)0xe9d4,
+  (q15_t)0x7e0c, (q15_t)0xe9bb, (q15_t)0x7e07, (q15_t)0xe9a3, (q15_t)0x7e03, (q15_t)0xe98a, (q15_t)0x7dff, (q15_t)0xe971,
+  (q15_t)0x7dfa, (q15_t)0xe958, (q15_t)0x7df6, (q15_t)0xe940, (q15_t)0x7df1, (q15_t)0xe927, (q15_t)0x7ded, (q15_t)0xe90e,
+  (q15_t)0x7de8, (q15_t)0xe8f6, (q15_t)0x7de4, (q15_t)0xe8dd, (q15_t)0x7ddf, (q15_t)0xe8c4, (q15_t)0x7dda, (q15_t)0xe8ab,
+  (q15_t)0x7dd6, (q15_t)0xe893, (q15_t)0x7dd1, (q15_t)0xe87a, (q15_t)0x7dcd, (q15_t)0xe861, (q15_t)0x7dc8, (q15_t)0xe849,
+  (q15_t)0x7dc3, (q15_t)0xe830, (q15_t)0x7dbf, (q15_t)0xe817, (q15_t)0x7dba, (q15_t)0xe7fe, (q15_t)0x7db5, (q15_t)0xe7e6,
+  (q15_t)0x7db0, (q15_t)0xe7cd, (q15_t)0x7dac, (q15_t)0xe7b4, (q15_t)0x7da7, (q15_t)0xe79c, (q15_t)0x7da2, (q15_t)0xe783,
+  (q15_t)0x7d9d, (q15_t)0xe76a, (q15_t)0x7d98, (q15_t)0xe752, (q15_t)0x7d94, (q15_t)0xe739, (q15_t)0x7d8f, (q15_t)0xe720,
+  (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d85, (q15_t)0xe6ef, (q15_t)0x7d80, (q15_t)0xe6d6, (q15_t)0x7d7b, (q15_t)0xe6be,
+  (q15_t)0x7d76, (q15_t)0xe6a5, (q15_t)0x7d71, (q15_t)0xe68d, (q15_t)0x7d6c, (q15_t)0xe674, (q15_t)0x7d67, (q15_t)0xe65b,
+  (q15_t)0x7d62, (q15_t)0xe643, (q15_t)0x7d5d, (q15_t)0xe62a, (q15_t)0x7d58, (q15_t)0xe611, (q15_t)0x7d53, (q15_t)0xe5f9,
+  (q15_t)0x7d4e, (q15_t)0xe5e0, (q15_t)0x7d49, (q15_t)0xe5c8, (q15_t)0x7d43, (q15_t)0xe5af, (q15_t)0x7d3e, (q15_t)0xe596,
+  (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7d34, (q15_t)0xe565, (q15_t)0x7d2f, (q15_t)0xe54d, (q15_t)0x7d29, (q15_t)0xe534,
+  (q15_t)0x7d24, (q15_t)0xe51c, (q15_t)0x7d1f, (q15_t)0xe503, (q15_t)0x7d19, (q15_t)0xe4ea, (q15_t)0x7d14, (q15_t)0xe4d2,
+  (q15_t)0x7d0f, (q15_t)0xe4b9, (q15_t)0x7d09, (q15_t)0xe4a1, (q15_t)0x7d04, (q15_t)0xe488, (q15_t)0x7cff, (q15_t)0xe470,
+  (q15_t)0x7cf9, (q15_t)0xe457, (q15_t)0x7cf4, (q15_t)0xe43f, (q15_t)0x7cee, (q15_t)0xe426, (q15_t)0x7ce9, (q15_t)0xe40e,
+  (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7cde, (q15_t)0xe3dc, (q15_t)0x7cd8, (q15_t)0xe3c4, (q15_t)0x7cd3, (q15_t)0xe3ab,
+  (q15_t)0x7ccd, (q15_t)0xe393, (q15_t)0x7cc8, (q15_t)0xe37a, (q15_t)0x7cc2, (q15_t)0xe362, (q15_t)0x7cbc, (q15_t)0xe349,
+  (q15_t)0x7cb7, (q15_t)0xe331, (q15_t)0x7cb1, (q15_t)0xe318, (q15_t)0x7cab, (q15_t)0xe300, (q15_t)0x7ca6, (q15_t)0xe2e8,
+  (q15_t)0x7ca0, (q15_t)0xe2cf, (q15_t)0x7c9a, (q15_t)0xe2b7, (q15_t)0x7c94, (q15_t)0xe29e, (q15_t)0x7c8f, (q15_t)0xe286,
+  (q15_t)0x7c89, (q15_t)0xe26d, (q15_t)0x7c83, (q15_t)0xe255, (q15_t)0x7c7d, (q15_t)0xe23c, (q15_t)0x7c77, (q15_t)0xe224,
+  (q15_t)0x7c71, (q15_t)0xe20b, (q15_t)0x7c6c, (q15_t)0xe1f3, (q15_t)0x7c66, (q15_t)0xe1db, (q15_t)0x7c60, (q15_t)0xe1c2,
+  (q15_t)0x7c5a, (q15_t)0xe1aa, (q15_t)0x7c54, (q15_t)0xe191, (q15_t)0x7c4e, (q15_t)0xe179, (q15_t)0x7c48, (q15_t)0xe160,
+  (q15_t)0x7c42, (q15_t)0xe148, (q15_t)0x7c3c, (q15_t)0xe130, (q15_t)0x7c36, (q15_t)0xe117, (q15_t)0x7c30, (q15_t)0xe0ff,
+  (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7c23, (q15_t)0xe0ce, (q15_t)0x7c1d, (q15_t)0xe0b6, (q15_t)0x7c17, (q15_t)0xe09d,
+  (q15_t)0x7c11, (q15_t)0xe085, (q15_t)0x7c0b, (q15_t)0xe06d, (q15_t)0x7c05, (q15_t)0xe054, (q15_t)0x7bfe, (q15_t)0xe03c,
+  (q15_t)0x7bf8, (q15_t)0xe024, (q15_t)0x7bf2, (q15_t)0xe00b, (q15_t)0x7beb, (q15_t)0xdff3, (q15_t)0x7be5, (q15_t)0xdfdb,
+  (q15_t)0x7bdf, (q15_t)0xdfc2, (q15_t)0x7bd9, (q15_t)0xdfaa, (q15_t)0x7bd2, (q15_t)0xdf92, (q15_t)0x7bcc, (q15_t)0xdf79,
+  (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7bbf, (q15_t)0xdf49, (q15_t)0x7bb9, (q15_t)0xdf30, (q15_t)0x7bb2, (q15_t)0xdf18,
+  (q15_t)0x7bac, (q15_t)0xdf00, (q15_t)0x7ba5, (q15_t)0xdee8, (q15_t)0x7b9f, (q15_t)0xdecf, (q15_t)0x7b98, (q15_t)0xdeb7,
+  (q15_t)0x7b92, (q15_t)0xde9f, (q15_t)0x7b8b, (q15_t)0xde87, (q15_t)0x7b84, (q15_t)0xde6e, (q15_t)0x7b7e, (q15_t)0xde56,
+  (q15_t)0x7b77, (q15_t)0xde3e, (q15_t)0x7b71, (q15_t)0xde26, (q15_t)0x7b6a, (q15_t)0xde0d, (q15_t)0x7b63, (q15_t)0xddf5,
+  (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7b56, (q15_t)0xddc5, (q15_t)0x7b4f, (q15_t)0xddac, (q15_t)0x7b48, (q15_t)0xdd94,
+  (q15_t)0x7b42, (q15_t)0xdd7c, (q15_t)0x7b3b, (q15_t)0xdd64, (q15_t)0x7b34, (q15_t)0xdd4c, (q15_t)0x7b2d, (q15_t)0xdd33,
+  (q15_t)0x7b26, (q15_t)0xdd1b, (q15_t)0x7b1f, (q15_t)0xdd03, (q15_t)0x7b19, (q15_t)0xdceb, (q15_t)0x7b12, (q15_t)0xdcd3,
+  (q15_t)0x7b0b, (q15_t)0xdcbb, (q15_t)0x7b04, (q15_t)0xdca2, (q15_t)0x7afd, (q15_t)0xdc8a, (q15_t)0x7af6, (q15_t)0xdc72,
+  (q15_t)0x7aef, (q15_t)0xdc5a, (q15_t)0x7ae8, (q15_t)0xdc42, (q15_t)0x7ae1, (q15_t)0xdc2a, (q15_t)0x7ada, (q15_t)0xdc12,
+  (q15_t)0x7ad3, (q15_t)0xdbf9, (q15_t)0x7acc, (q15_t)0xdbe1, (q15_t)0x7ac5, (q15_t)0xdbc9, (q15_t)0x7abd, (q15_t)0xdbb1,
+  (q15_t)0x7ab6, (q15_t)0xdb99, (q15_t)0x7aaf, (q15_t)0xdb81, (q15_t)0x7aa8, (q15_t)0xdb69, (q15_t)0x7aa1, (q15_t)0xdb51,
+  (q15_t)0x7a9a, (q15_t)0xdb39, (q15_t)0x7a92, (q15_t)0xdb21, (q15_t)0x7a8b, (q15_t)0xdb09, (q15_t)0x7a84, (q15_t)0xdaf1,
+  (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a75, (q15_t)0xdac0, (q15_t)0x7a6e, (q15_t)0xdaa8, (q15_t)0x7a67, (q15_t)0xda90,
+  (q15_t)0x7a5f, (q15_t)0xda78, (q15_t)0x7a58, (q15_t)0xda60, (q15_t)0x7a50, (q15_t)0xda48, (q15_t)0x7a49, (q15_t)0xda30,
+  (q15_t)0x7a42, (q15_t)0xda18, (q15_t)0x7a3a, (q15_t)0xda00, (q15_t)0x7a33, (q15_t)0xd9e8, (q15_t)0x7a2b, (q15_t)0xd9d0,
+  (q15_t)0x7a24, (q15_t)0xd9b8, (q15_t)0x7a1c, (q15_t)0xd9a0, (q15_t)0x7a15, (q15_t)0xd988, (q15_t)0x7a0d, (q15_t)0xd970,
+  (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x79fe, (q15_t)0xd940, (q15_t)0x79f6, (q15_t)0xd928, (q15_t)0x79ef, (q15_t)0xd911,
+  (q15_t)0x79e7, (q15_t)0xd8f9, (q15_t)0x79df, (q15_t)0xd8e1, (q15_t)0x79d8, (q15_t)0xd8c9, (q15_t)0x79d0, (q15_t)0xd8b1,
+  (q15_t)0x79c8, (q15_t)0xd899, (q15_t)0x79c0, (q15_t)0xd881, (q15_t)0x79b9, (q15_t)0xd869, (q15_t)0x79b1, (q15_t)0xd851,
+  (q15_t)0x79a9, (q15_t)0xd839, (q15_t)0x79a1, (q15_t)0xd821, (q15_t)0x7999, (q15_t)0xd80a, (q15_t)0x7992, (q15_t)0xd7f2,
+  (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x7982, (q15_t)0xd7c2, (q15_t)0x797a, (q15_t)0xd7aa, (q15_t)0x7972, (q15_t)0xd792,
+  (q15_t)0x796a, (q15_t)0xd77a, (q15_t)0x7962, (q15_t)0xd763, (q15_t)0x795a, (q15_t)0xd74b, (q15_t)0x7952, (q15_t)0xd733,
+  (q15_t)0x794a, (q15_t)0xd71b, (q15_t)0x7942, (q15_t)0xd703, (q15_t)0x793a, (q15_t)0xd6eb, (q15_t)0x7932, (q15_t)0xd6d4,
+  (q15_t)0x792a, (q15_t)0xd6bc, (q15_t)0x7922, (q15_t)0xd6a4, (q15_t)0x7919, (q15_t)0xd68c, (q15_t)0x7911, (q15_t)0xd675,
+  (q15_t)0x7909, (q15_t)0xd65d, (q15_t)0x7901, (q15_t)0xd645, (q15_t)0x78f9, (q15_t)0xd62d, (q15_t)0x78f1, (q15_t)0xd615,
+  (q15_t)0x78e8, (q15_t)0xd5fe, (q15_t)0x78e0, (q15_t)0xd5e6, (q15_t)0x78d8, (q15_t)0xd5ce, (q15_t)0x78cf, (q15_t)0xd5b7,
+  (q15_t)0x78c7, (q15_t)0xd59f, (q15_t)0x78bf, (q15_t)0xd587, (q15_t)0x78b6, (q15_t)0xd56f, (q15_t)0x78ae, (q15_t)0xd558,
+  (q15_t)0x78a6, (q15_t)0xd540, (q15_t)0x789d, (q15_t)0xd528, (q15_t)0x7895, (q15_t)0xd511, (q15_t)0x788c, (q15_t)0xd4f9,
+  (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x787c, (q15_t)0xd4ca, (q15_t)0x7873, (q15_t)0xd4b2, (q15_t)0x786b, (q15_t)0xd49a,
+  (q15_t)0x7862, (q15_t)0xd483, (q15_t)0x7859, (q15_t)0xd46b, (q15_t)0x7851, (q15_t)0xd453, (q15_t)0x7848, (q15_t)0xd43c,
+  (q15_t)0x7840, (q15_t)0xd424, (q15_t)0x7837, (q15_t)0xd40d, (q15_t)0x782e, (q15_t)0xd3f5, (q15_t)0x7826, (q15_t)0xd3dd,
+  (q15_t)0x781d, (q15_t)0xd3c6, (q15_t)0x7814, (q15_t)0xd3ae, (q15_t)0x780c, (q15_t)0xd397, (q15_t)0x7803, (q15_t)0xd37f,
+  (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x77f1, (q15_t)0xd350, (q15_t)0x77e9, (q15_t)0xd338, (q15_t)0x77e0, (q15_t)0xd321,
+  (q15_t)0x77d7, (q15_t)0xd309, (q15_t)0x77ce, (q15_t)0xd2f2, (q15_t)0x77c5, (q15_t)0xd2da, (q15_t)0x77bc, (q15_t)0xd2c3,
+  (q15_t)0x77b4, (q15_t)0xd2ab, (q15_t)0x77ab, (q15_t)0xd294, (q15_t)0x77a2, (q15_t)0xd27c, (q15_t)0x7799, (q15_t)0xd265,
+  (q15_t)0x7790, (q15_t)0xd24d, (q15_t)0x7787, (q15_t)0xd236, (q15_t)0x777e, (q15_t)0xd21e, (q15_t)0x7775, (q15_t)0xd207,
+  (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x7763, (q15_t)0xd1d8, (q15_t)0x775a, (q15_t)0xd1c1, (q15_t)0x7751, (q15_t)0xd1a9,
+  (q15_t)0x7747, (q15_t)0xd192, (q15_t)0x773e, (q15_t)0xd17a, (q15_t)0x7735, (q15_t)0xd163, (q15_t)0x772c, (q15_t)0xd14b,
+  (q15_t)0x7723, (q15_t)0xd134, (q15_t)0x771a, (q15_t)0xd11d, (q15_t)0x7710, (q15_t)0xd105, (q15_t)0x7707, (q15_t)0xd0ee,
+  (q15_t)0x76fe, (q15_t)0xd0d7, (q15_t)0x76f5, (q15_t)0xd0bf, (q15_t)0x76eb, (q15_t)0xd0a8, (q15_t)0x76e2, (q15_t)0xd091,
+  (q15_t)0x76d9, (q15_t)0xd079, (q15_t)0x76cf, (q15_t)0xd062, (q15_t)0x76c6, (q15_t)0xd04b, (q15_t)0x76bd, (q15_t)0xd033,
+  (q15_t)0x76b3, (q15_t)0xd01c, (q15_t)0x76aa, (q15_t)0xd005, (q15_t)0x76a0, (q15_t)0xcfed, (q15_t)0x7697, (q15_t)0xcfd6,
+  (q15_t)0x768e, (q15_t)0xcfbf, (q15_t)0x7684, (q15_t)0xcfa7, (q15_t)0x767b, (q15_t)0xcf90, (q15_t)0x7671, (q15_t)0xcf79,
+  (q15_t)0x7668, (q15_t)0xcf62, (q15_t)0x765e, (q15_t)0xcf4a, (q15_t)0x7654, (q15_t)0xcf33, (q15_t)0x764b, (q15_t)0xcf1c,
+  (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x7638, (q15_t)0xceee, (q15_t)0x762e, (q15_t)0xced6, (q15_t)0x7624, (q15_t)0xcebf,
+  (q15_t)0x761b, (q15_t)0xcea8, (q15_t)0x7611, (q15_t)0xce91, (q15_t)0x7607, (q15_t)0xce7a, (q15_t)0x75fd, (q15_t)0xce62,
+  (q15_t)0x75f4, (q15_t)0xce4b, (q15_t)0x75ea, (q15_t)0xce34, (q15_t)0x75e0, (q15_t)0xce1d, (q15_t)0x75d6, (q15_t)0xce06,
+  (q15_t)0x75cc, (q15_t)0xcdef, (q15_t)0x75c3, (q15_t)0xcdd8, (q15_t)0x75b9, (q15_t)0xcdc0, (q15_t)0x75af, (q15_t)0xcda9,
+  (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x759b, (q15_t)0xcd7b, (q15_t)0x7591, (q15_t)0xcd64, (q15_t)0x7587, (q15_t)0xcd4d,
+  (q15_t)0x757d, (q15_t)0xcd36, (q15_t)0x7573, (q15_t)0xcd1f, (q15_t)0x7569, (q15_t)0xcd08, (q15_t)0x755f, (q15_t)0xccf1,
+  (q15_t)0x7555, (q15_t)0xccda, (q15_t)0x754b, (q15_t)0xccc3, (q15_t)0x7541, (q15_t)0xccac, (q15_t)0x7537, (q15_t)0xcc95,
+  (q15_t)0x752d, (q15_t)0xcc7e, (q15_t)0x7523, (q15_t)0xcc67, (q15_t)0x7519, (q15_t)0xcc50, (q15_t)0x750f, (q15_t)0xcc39,
+  (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x74fa, (q15_t)0xcc0b, (q15_t)0x74f0, (q15_t)0xcbf4, (q15_t)0x74e6, (q15_t)0xcbdd,
+  (q15_t)0x74db, (q15_t)0xcbc6, (q15_t)0x74d1, (q15_t)0xcbaf, (q15_t)0x74c7, (q15_t)0xcb98, (q15_t)0x74bd, (q15_t)0xcb81,
+  (q15_t)0x74b2, (q15_t)0xcb6a, (q15_t)0x74a8, (q15_t)0xcb53, (q15_t)0x749e, (q15_t)0xcb3c, (q15_t)0x7493, (q15_t)0xcb25,
+  (q15_t)0x7489, (q15_t)0xcb0e, (q15_t)0x747e, (q15_t)0xcaf8, (q15_t)0x7474, (q15_t)0xcae1, (q15_t)0x746a, (q15_t)0xcaca,
+  (q15_t)0x745f, (q15_t)0xcab3, (q15_t)0x7455, (q15_t)0xca9c, (q15_t)0x744a, (q15_t)0xca85, (q15_t)0x7440, (q15_t)0xca6e,
+  (q15_t)0x7435, (q15_t)0xca58, (q15_t)0x742b, (q15_t)0xca41, (q15_t)0x7420, (q15_t)0xca2a, (q15_t)0x7415, (q15_t)0xca13,
+  (q15_t)0x740b, (q15_t)0xc9fc, (q15_t)0x7400, (q15_t)0xc9e6, (q15_t)0x73f6, (q15_t)0xc9cf, (q15_t)0x73eb, (q15_t)0xc9b8,
+  (q15_t)0x73e0, (q15_t)0xc9a1, (q15_t)0x73d6, (q15_t)0xc98b, (q15_t)0x73cb, (q15_t)0xc974, (q15_t)0x73c0, (q15_t)0xc95d,
+  (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x73ab, (q15_t)0xc930, (q15_t)0x73a0, (q15_t)0xc919, (q15_t)0x7395, (q15_t)0xc902,
+  (q15_t)0x738a, (q15_t)0xc8ec, (q15_t)0x737f, (q15_t)0xc8d5, (q15_t)0x7375, (q15_t)0xc8be, (q15_t)0x736a, (q15_t)0xc8a8,
+  (q15_t)0x735f, (q15_t)0xc891, (q15_t)0x7354, (q15_t)0xc87a, (q15_t)0x7349, (q15_t)0xc864, (q15_t)0x733e, (q15_t)0xc84d,
+  (q15_t)0x7333, (q15_t)0xc836, (q15_t)0x7328, (q15_t)0xc820, (q15_t)0x731d, (q15_t)0xc809, (q15_t)0x7312, (q15_t)0xc7f3,
+  (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x72fc, (q15_t)0xc7c5, (q15_t)0x72f1, (q15_t)0xc7af, (q15_t)0x72e6, (q15_t)0xc798,
+  (q15_t)0x72db, (q15_t)0xc782, (q15_t)0x72d0, (q15_t)0xc76b, (q15_t)0x72c5, (q15_t)0xc755, (q15_t)0x72ba, (q15_t)0xc73e,
+  (q15_t)0x72af, (q15_t)0xc728, (q15_t)0x72a3, (q15_t)0xc711, (q15_t)0x7298, (q15_t)0xc6fa, (q15_t)0x728d, (q15_t)0xc6e4,
+  (q15_t)0x7282, (q15_t)0xc6ce, (q15_t)0x7276, (q15_t)0xc6b7, (q15_t)0x726b, (q15_t)0xc6a1, (q15_t)0x7260, (q15_t)0xc68a,
+  (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x7249, (q15_t)0xc65d, (q15_t)0x723e, (q15_t)0xc647, (q15_t)0x7233, (q15_t)0xc630,
+  (q15_t)0x7227, (q15_t)0xc61a, (q15_t)0x721c, (q15_t)0xc603, (q15_t)0x7211, (q15_t)0xc5ed, (q15_t)0x7205, (q15_t)0xc5d7,
+  (q15_t)0x71fa, (q15_t)0xc5c0, (q15_t)0x71ee, (q15_t)0xc5aa, (q15_t)0x71e3, (q15_t)0xc594, (q15_t)0x71d7, (q15_t)0xc57d,
+  (q15_t)0x71cc, (q15_t)0xc567, (q15_t)0x71c0, (q15_t)0xc551, (q15_t)0x71b5, (q15_t)0xc53a, (q15_t)0x71a9, (q15_t)0xc524,
+  (q15_t)0x719e, (q15_t)0xc50e, (q15_t)0x7192, (q15_t)0xc4f7, (q15_t)0x7186, (q15_t)0xc4e1, (q15_t)0x717b, (q15_t)0xc4cb,
+  (q15_t)0x716f, (q15_t)0xc4b4, (q15_t)0x7164, (q15_t)0xc49e, (q15_t)0x7158, (q15_t)0xc488, (q15_t)0x714c, (q15_t)0xc472,
+  (q15_t)0x7141, (q15_t)0xc45b, (q15_t)0x7135, (q15_t)0xc445, (q15_t)0x7129, (q15_t)0xc42f, (q15_t)0x711d, (q15_t)0xc419,
+  (q15_t)0x7112, (q15_t)0xc403, (q15_t)0x7106, (q15_t)0xc3ec, (q15_t)0x70fa, (q15_t)0xc3d6, (q15_t)0x70ee, (q15_t)0xc3c0,
+  (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x70d6, (q15_t)0xc394, (q15_t)0x70cb, (q15_t)0xc37d, (q15_t)0x70bf, (q15_t)0xc367,
+  (q15_t)0x70b3, (q15_t)0xc351, (q15_t)0x70a7, (q15_t)0xc33b, (q15_t)0x709b, (q15_t)0xc325, (q15_t)0x708f, (q15_t)0xc30f,
+  (q15_t)0x7083, (q15_t)0xc2f9, (q15_t)0x7077, (q15_t)0xc2e3, (q15_t)0x706b, (q15_t)0xc2cd, (q15_t)0x705f, (q15_t)0xc2b7,
+  (q15_t)0x7053, (q15_t)0xc2a0, (q15_t)0x7047, (q15_t)0xc28a, (q15_t)0x703b, (q15_t)0xc274, (q15_t)0x702f, (q15_t)0xc25e,
+  (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x7016, (q15_t)0xc232, (q15_t)0x700a, (q15_t)0xc21c, (q15_t)0x6ffe, (q15_t)0xc206,
+  (q15_t)0x6ff2, (q15_t)0xc1f0, (q15_t)0x6fe6, (q15_t)0xc1da, (q15_t)0x6fda, (q15_t)0xc1c4, (q15_t)0x6fcd, (q15_t)0xc1ae,
+  (q15_t)0x6fc1, (q15_t)0xc198, (q15_t)0x6fb5, (q15_t)0xc183, (q15_t)0x6fa9, (q15_t)0xc16d, (q15_t)0x6f9c, (q15_t)0xc157,
+  (q15_t)0x6f90, (q15_t)0xc141, (q15_t)0x6f84, (q15_t)0xc12b, (q15_t)0x6f77, (q15_t)0xc115, (q15_t)0x6f6b, (q15_t)0xc0ff,
+  (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6f52, (q15_t)0xc0d3, (q15_t)0x6f46, (q15_t)0xc0bd, (q15_t)0x6f39, (q15_t)0xc0a8,
+  (q15_t)0x6f2d, (q15_t)0xc092, (q15_t)0x6f20, (q15_t)0xc07c, (q15_t)0x6f14, (q15_t)0xc066, (q15_t)0x6f07, (q15_t)0xc050,
+  (q15_t)0x6efb, (q15_t)0xc03b, (q15_t)0x6eee, (q15_t)0xc025, (q15_t)0x6ee2, (q15_t)0xc00f, (q15_t)0x6ed5, (q15_t)0xbff9,
+  (q15_t)0x6ec9, (q15_t)0xbfe3, (q15_t)0x6ebc, (q15_t)0xbfce, (q15_t)0x6eaf, (q15_t)0xbfb8, (q15_t)0x6ea3, (q15_t)0xbfa2,
+  (q15_t)0x6e96, (q15_t)0xbf8d, (q15_t)0x6e89, (q15_t)0xbf77, (q15_t)0x6e7d, (q15_t)0xbf61, (q15_t)0x6e70, (q15_t)0xbf4b,
+  (q15_t)0x6e63, (q15_t)0xbf36, (q15_t)0x6e57, (q15_t)0xbf20, (q15_t)0x6e4a, (q15_t)0xbf0a, (q15_t)0x6e3d, (q15_t)0xbef5,
+  (q15_t)0x6e30, (q15_t)0xbedf, (q15_t)0x6e24, (q15_t)0xbeca, (q15_t)0x6e17, (q15_t)0xbeb4, (q15_t)0x6e0a, (q15_t)0xbe9e,
+  (q15_t)0x6dfd, (q15_t)0xbe89, (q15_t)0x6df0, (q15_t)0xbe73, (q15_t)0x6de3, (q15_t)0xbe5e, (q15_t)0x6dd6, (q15_t)0xbe48,
+  (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6dbd, (q15_t)0xbe1d, (q15_t)0x6db0, (q15_t)0xbe07, (q15_t)0x6da3, (q15_t)0xbdf2,
+  (q15_t)0x6d96, (q15_t)0xbddc, (q15_t)0x6d89, (q15_t)0xbdc7, (q15_t)0x6d7c, (q15_t)0xbdb1, (q15_t)0x6d6f, (q15_t)0xbd9c,
+  (q15_t)0x6d62, (q15_t)0xbd86, (q15_t)0x6d55, (q15_t)0xbd71, (q15_t)0x6d48, (q15_t)0xbd5b, (q15_t)0x6d3a, (q15_t)0xbd46,
+  (q15_t)0x6d2d, (q15_t)0xbd30, (q15_t)0x6d20, (q15_t)0xbd1b, (q15_t)0x6d13, (q15_t)0xbd06, (q15_t)0x6d06, (q15_t)0xbcf0,
+  (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6cec, (q15_t)0xbcc5, (q15_t)0x6cde, (q15_t)0xbcb0, (q15_t)0x6cd1, (q15_t)0xbc9b,
+  (q15_t)0x6cc4, (q15_t)0xbc85, (q15_t)0x6cb7, (q15_t)0xbc70, (q15_t)0x6ca9, (q15_t)0xbc5b, (q15_t)0x6c9c, (q15_t)0xbc45,
+  (q15_t)0x6c8f, (q15_t)0xbc30, (q15_t)0x6c81, (q15_t)0xbc1b, (q15_t)0x6c74, (q15_t)0xbc05, (q15_t)0x6c67, (q15_t)0xbbf0,
+  (q15_t)0x6c59, (q15_t)0xbbdb, (q15_t)0x6c4c, (q15_t)0xbbc5, (q15_t)0x6c3f, (q15_t)0xbbb0, (q15_t)0x6c31, (q15_t)0xbb9b,
+  (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6c16, (q15_t)0xbb70, (q15_t)0x6c09, (q15_t)0xbb5b, (q15_t)0x6bfb, (q15_t)0xbb46,
+  (q15_t)0x6bee, (q15_t)0xbb31, (q15_t)0x6be0, (q15_t)0xbb1c, (q15_t)0x6bd3, (q15_t)0xbb06, (q15_t)0x6bc5, (q15_t)0xbaf1,
+  (q15_t)0x6bb8, (q15_t)0xbadc, (q15_t)0x6baa, (q15_t)0xbac7, (q15_t)0x6b9c, (q15_t)0xbab2, (q15_t)0x6b8f, (q15_t)0xba9d,
+  (q15_t)0x6b81, (q15_t)0xba88, (q15_t)0x6b73, (q15_t)0xba73, (q15_t)0x6b66, (q15_t)0xba5d, (q15_t)0x6b58, (q15_t)0xba48,
+  (q15_t)0x6b4a, (q15_t)0xba33, (q15_t)0x6b3d, (q15_t)0xba1e, (q15_t)0x6b2f, (q15_t)0xba09, (q15_t)0x6b21, (q15_t)0xb9f4,
+  (q15_t)0x6b13, (q15_t)0xb9df, (q15_t)0x6b06, (q15_t)0xb9ca, (q15_t)0x6af8, (q15_t)0xb9b5, (q15_t)0x6aea, (q15_t)0xb9a0,
+  (q15_t)0x6adc, (q15_t)0xb98b, (q15_t)0x6ace, (q15_t)0xb976, (q15_t)0x6ac1, (q15_t)0xb961, (q15_t)0x6ab3, (q15_t)0xb94c,
+  (q15_t)0x6aa5, (q15_t)0xb937, (q15_t)0x6a97, (q15_t)0xb922, (q15_t)0x6a89, (q15_t)0xb90d, (q15_t)0x6a7b, (q15_t)0xb8f8,
+  (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x6a5f, (q15_t)0xb8cf, (q15_t)0x6a51, (q15_t)0xb8ba, (q15_t)0x6a43, (q15_t)0xb8a5,
+  (q15_t)0x6a35, (q15_t)0xb890, (q15_t)0x6a27, (q15_t)0xb87b, (q15_t)0x6a19, (q15_t)0xb866, (q15_t)0x6a0b, (q15_t)0xb852,
+  (q15_t)0x69fd, (q15_t)0xb83d, (q15_t)0x69ef, (q15_t)0xb828, (q15_t)0x69e1, (q15_t)0xb813, (q15_t)0x69d3, (q15_t)0xb7fe,
+  (q15_t)0x69c4, (q15_t)0xb7ea, (q15_t)0x69b6, (q15_t)0xb7d5, (q15_t)0x69a8, (q15_t)0xb7c0, (q15_t)0x699a, (q15_t)0xb7ab,
+  (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x697d, (q15_t)0xb782, (q15_t)0x696f, (q15_t)0xb76d, (q15_t)0x6961, (q15_t)0xb758,
+  (q15_t)0x6953, (q15_t)0xb744, (q15_t)0x6944, (q15_t)0xb72f, (q15_t)0x6936, (q15_t)0xb71a, (q15_t)0x6928, (q15_t)0xb706,
+  (q15_t)0x6919, (q15_t)0xb6f1, (q15_t)0x690b, (q15_t)0xb6dd, (q15_t)0x68fd, (q15_t)0xb6c8, (q15_t)0x68ee, (q15_t)0xb6b3,
+  (q15_t)0x68e0, (q15_t)0xb69f, (q15_t)0x68d1, (q15_t)0xb68a, (q15_t)0x68c3, (q15_t)0xb676, (q15_t)0x68b5, (q15_t)0xb661,
+  (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x6898, (q15_t)0xb638, (q15_t)0x6889, (q15_t)0xb623, (q15_t)0x687b, (q15_t)0xb60f,
+  (q15_t)0x686c, (q15_t)0xb5fa, (q15_t)0x685e, (q15_t)0xb5e6, (q15_t)0x684f, (q15_t)0xb5d1, (q15_t)0x6840, (q15_t)0xb5bd,
+  (q15_t)0x6832, (q15_t)0xb5a8, (q15_t)0x6823, (q15_t)0xb594, (q15_t)0x6815, (q15_t)0xb57f, (q15_t)0x6806, (q15_t)0xb56b,
+  (q15_t)0x67f7, (q15_t)0xb557, (q15_t)0x67e9, (q15_t)0xb542, (q15_t)0x67da, (q15_t)0xb52e, (q15_t)0x67cb, (q15_t)0xb519,
+  (q15_t)0x67bd, (q15_t)0xb505, (q15_t)0x67ae, (q15_t)0xb4f1, (q15_t)0x679f, (q15_t)0xb4dc, (q15_t)0x6790, (q15_t)0xb4c8,
+  (q15_t)0x6782, (q15_t)0xb4b4, (q15_t)0x6773, (q15_t)0xb49f, (q15_t)0x6764, (q15_t)0xb48b, (q15_t)0x6755, (q15_t)0xb477,
+  (q15_t)0x6746, (q15_t)0xb462, (q15_t)0x6737, (q15_t)0xb44e, (q15_t)0x6729, (q15_t)0xb43a, (q15_t)0x671a, (q15_t)0xb426,
+  (q15_t)0x670b, (q15_t)0xb411, (q15_t)0x66fc, (q15_t)0xb3fd, (q15_t)0x66ed, (q15_t)0xb3e9, (q15_t)0x66de, (q15_t)0xb3d5,
+  (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x66c0, (q15_t)0xb3ac, (q15_t)0x66b1, (q15_t)0xb398, (q15_t)0x66a2, (q15_t)0xb384,
+  (q15_t)0x6693, (q15_t)0xb370, (q15_t)0x6684, (q15_t)0xb35c, (q15_t)0x6675, (q15_t)0xb348, (q15_t)0x6666, (q15_t)0xb334,
+  (q15_t)0x6657, (q15_t)0xb31f, (q15_t)0x6648, (q15_t)0xb30b, (q15_t)0x6639, (q15_t)0xb2f7, (q15_t)0x6629, (q15_t)0xb2e3,
+  (q15_t)0x661a, (q15_t)0xb2cf, (q15_t)0x660b, (q15_t)0xb2bb, (q15_t)0x65fc, (q15_t)0xb2a7, (q15_t)0x65ed, (q15_t)0xb293,
+  (q15_t)0x65dd, (q15_t)0xb27f, (q15_t)0x65ce, (q15_t)0xb26b, (q15_t)0x65bf, (q15_t)0xb257, (q15_t)0x65b0, (q15_t)0xb243,
+  (q15_t)0x65a0, (q15_t)0xb22f, (q15_t)0x6591, (q15_t)0xb21b, (q15_t)0x6582, (q15_t)0xb207, (q15_t)0x6573, (q15_t)0xb1f3,
+  (q15_t)0x6563, (q15_t)0xb1df, (q15_t)0x6554, (q15_t)0xb1cc, (q15_t)0x6545, (q15_t)0xb1b8, (q15_t)0x6535, (q15_t)0xb1a4,
+  (q15_t)0x6526, (q15_t)0xb190, (q15_t)0x6516, (q15_t)0xb17c, (q15_t)0x6507, (q15_t)0xb168, (q15_t)0x64f7, (q15_t)0xb154,
+  (q15_t)0x64e8, (q15_t)0xb141, (q15_t)0x64d9, (q15_t)0xb12d, (q15_t)0x64c9, (q15_t)0xb119, (q15_t)0x64ba, (q15_t)0xb105,
+  (q15_t)0x64aa, (q15_t)0xb0f1, (q15_t)0x649b, (q15_t)0xb0de, (q15_t)0x648b, (q15_t)0xb0ca, (q15_t)0x647b, (q15_t)0xb0b6,
+  (q15_t)0x646c, (q15_t)0xb0a2, (q15_t)0x645c, (q15_t)0xb08f, (q15_t)0x644d, (q15_t)0xb07b, (q15_t)0x643d, (q15_t)0xb067,
+  (q15_t)0x642d, (q15_t)0xb054, (q15_t)0x641e, (q15_t)0xb040, (q15_t)0x640e, (q15_t)0xb02c, (q15_t)0x63fe, (q15_t)0xb019,
+  (q15_t)0x63ef, (q15_t)0xb005, (q15_t)0x63df, (q15_t)0xaff1, (q15_t)0x63cf, (q15_t)0xafde, (q15_t)0x63c0, (q15_t)0xafca,
+  (q15_t)0x63b0, (q15_t)0xafb7, (q15_t)0x63a0, (q15_t)0xafa3, (q15_t)0x6390, (q15_t)0xaf90, (q15_t)0x6380, (q15_t)0xaf7c,
+  (q15_t)0x6371, (q15_t)0xaf69, (q15_t)0x6361, (q15_t)0xaf55, (q15_t)0x6351, (q15_t)0xaf41, (q15_t)0x6341, (q15_t)0xaf2e,
+  (q15_t)0x6331, (q15_t)0xaf1b, (q15_t)0x6321, (q15_t)0xaf07, (q15_t)0x6311, (q15_t)0xaef4, (q15_t)0x6301, (q15_t)0xaee0,
+  (q15_t)0x62f2, (q15_t)0xaecd, (q15_t)0x62e2, (q15_t)0xaeb9, (q15_t)0x62d2, (q15_t)0xaea6, (q15_t)0x62c2, (q15_t)0xae92,
+  (q15_t)0x62b2, (q15_t)0xae7f, (q15_t)0x62a2, (q15_t)0xae6c, (q15_t)0x6292, (q15_t)0xae58, (q15_t)0x6282, (q15_t)0xae45,
+  (q15_t)0x6271, (q15_t)0xae32, (q15_t)0x6261, (q15_t)0xae1e, (q15_t)0x6251, (q15_t)0xae0b, (q15_t)0x6241, (q15_t)0xadf8,
+  (q15_t)0x6231, (q15_t)0xade4, (q15_t)0x6221, (q15_t)0xadd1, (q15_t)0x6211, (q15_t)0xadbe, (q15_t)0x6201, (q15_t)0xadab,
+  (q15_t)0x61f1, (q15_t)0xad97, (q15_t)0x61e0, (q15_t)0xad84, (q15_t)0x61d0, (q15_t)0xad71, (q15_t)0x61c0, (q15_t)0xad5e,
+  (q15_t)0x61b0, (q15_t)0xad4b, (q15_t)0x619f, (q15_t)0xad37, (q15_t)0x618f, (q15_t)0xad24, (q15_t)0x617f, (q15_t)0xad11,
+  (q15_t)0x616f, (q15_t)0xacfe, (q15_t)0x615e, (q15_t)0xaceb, (q15_t)0x614e, (q15_t)0xacd8, (q15_t)0x613e, (q15_t)0xacc5,
+  (q15_t)0x612d, (q15_t)0xacb2, (q15_t)0x611d, (q15_t)0xac9e, (q15_t)0x610d, (q15_t)0xac8b, (q15_t)0x60fc, (q15_t)0xac78,
+  (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x60db, (q15_t)0xac52, (q15_t)0x60cb, (q15_t)0xac3f, (q15_t)0x60ba, (q15_t)0xac2c,
+  (q15_t)0x60aa, (q15_t)0xac19, (q15_t)0x6099, (q15_t)0xac06, (q15_t)0x6089, (q15_t)0xabf3, (q15_t)0x6078, (q15_t)0xabe0,
+  (q15_t)0x6068, (q15_t)0xabcd, (q15_t)0x6057, (q15_t)0xabbb, (q15_t)0x6047, (q15_t)0xaba8, (q15_t)0x6036, (q15_t)0xab95,
+  (q15_t)0x6026, (q15_t)0xab82, (q15_t)0x6015, (q15_t)0xab6f, (q15_t)0x6004, (q15_t)0xab5c, (q15_t)0x5ff4, (q15_t)0xab49,
+  (q15_t)0x5fe3, (q15_t)0xab36, (q15_t)0x5fd3, (q15_t)0xab24, (q15_t)0x5fc2, (q15_t)0xab11, (q15_t)0x5fb1, (q15_t)0xaafe,
+  (q15_t)0x5fa0, (q15_t)0xaaeb, (q15_t)0x5f90, (q15_t)0xaad8, (q15_t)0x5f7f, (q15_t)0xaac6, (q15_t)0x5f6e, (q15_t)0xaab3,
+  (q15_t)0x5f5e, (q15_t)0xaaa0, (q15_t)0x5f4d, (q15_t)0xaa8e, (q15_t)0x5f3c, (q15_t)0xaa7b, (q15_t)0x5f2b, (q15_t)0xaa68,
+  (q15_t)0x5f1a, (q15_t)0xaa55, (q15_t)0x5f0a, (q15_t)0xaa43, (q15_t)0x5ef9, (q15_t)0xaa30, (q15_t)0x5ee8, (q15_t)0xaa1d,
+  (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5ec6, (q15_t)0xa9f8, (q15_t)0x5eb5, (q15_t)0xa9e6, (q15_t)0x5ea4, (q15_t)0xa9d3,
+  (q15_t)0x5e93, (q15_t)0xa9c0, (q15_t)0x5e82, (q15_t)0xa9ae, (q15_t)0x5e71, (q15_t)0xa99b, (q15_t)0x5e60, (q15_t)0xa989,
+  (q15_t)0x5e50, (q15_t)0xa976, (q15_t)0x5e3f, (q15_t)0xa964, (q15_t)0x5e2d, (q15_t)0xa951, (q15_t)0x5e1c, (q15_t)0xa93f,
+  (q15_t)0x5e0b, (q15_t)0xa92c, (q15_t)0x5dfa, (q15_t)0xa91a, (q15_t)0x5de9, (q15_t)0xa907, (q15_t)0x5dd8, (q15_t)0xa8f5,
+  (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5db6, (q15_t)0xa8d0, (q15_t)0x5da5, (q15_t)0xa8be, (q15_t)0x5d94, (q15_t)0xa8ab,
+  (q15_t)0x5d83, (q15_t)0xa899, (q15_t)0x5d71, (q15_t)0xa887, (q15_t)0x5d60, (q15_t)0xa874, (q15_t)0x5d4f, (q15_t)0xa862,
+  (q15_t)0x5d3e, (q15_t)0xa850, (q15_t)0x5d2d, (q15_t)0xa83d, (q15_t)0x5d1b, (q15_t)0xa82b, (q15_t)0x5d0a, (q15_t)0xa819,
+  (q15_t)0x5cf9, (q15_t)0xa807, (q15_t)0x5ce8, (q15_t)0xa7f4, (q15_t)0x5cd6, (q15_t)0xa7e2, (q15_t)0x5cc5, (q15_t)0xa7d0,
+  (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5ca2, (q15_t)0xa7ab, (q15_t)0x5c91, (q15_t)0xa799, (q15_t)0x5c80, (q15_t)0xa787,
+  (q15_t)0x5c6e, (q15_t)0xa775, (q15_t)0x5c5d, (q15_t)0xa763, (q15_t)0x5c4b, (q15_t)0xa751, (q15_t)0x5c3a, (q15_t)0xa73f,
+  (q15_t)0x5c29, (q15_t)0xa72c, (q15_t)0x5c17, (q15_t)0xa71a, (q15_t)0x5c06, (q15_t)0xa708, (q15_t)0x5bf4, (q15_t)0xa6f6,
+  (q15_t)0x5be3, (q15_t)0xa6e4, (q15_t)0x5bd1, (q15_t)0xa6d2, (q15_t)0x5bc0, (q15_t)0xa6c0, (q15_t)0x5bae, (q15_t)0xa6ae,
+  (q15_t)0x5b9d, (q15_t)0xa69c, (q15_t)0x5b8b, (q15_t)0xa68a, (q15_t)0x5b79, (q15_t)0xa678, (q15_t)0x5b68, (q15_t)0xa666,
+  (q15_t)0x5b56, (q15_t)0xa654, (q15_t)0x5b45, (q15_t)0xa642, (q15_t)0x5b33, (q15_t)0xa630, (q15_t)0x5b21, (q15_t)0xa61f,
+  (q15_t)0x5b10, (q15_t)0xa60d, (q15_t)0x5afe, (q15_t)0xa5fb, (q15_t)0x5aec, (q15_t)0xa5e9, (q15_t)0x5adb, (q15_t)0xa5d7,
+  (q15_t)0x5ac9, (q15_t)0xa5c5, (q15_t)0x5ab7, (q15_t)0xa5b3, (q15_t)0x5aa5, (q15_t)0xa5a2, (q15_t)0x5a94, (q15_t)0xa590,
+  (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5a70, (q15_t)0xa56c, (q15_t)0x5a5e, (q15_t)0xa55b, (q15_t)0x5a4d, (q15_t)0xa549,
+  (q15_t)0x5a3b, (q15_t)0xa537, (q15_t)0x5a29, (q15_t)0xa525, (q15_t)0x5a17, (q15_t)0xa514, (q15_t)0x5a05, (q15_t)0xa502,
+  (q15_t)0x59f3, (q15_t)0xa4f0, (q15_t)0x59e1, (q15_t)0xa4df, (q15_t)0x59d0, (q15_t)0xa4cd, (q15_t)0x59be, (q15_t)0xa4bb,
+  (q15_t)0x59ac, (q15_t)0xa4aa, (q15_t)0x599a, (q15_t)0xa498, (q15_t)0x5988, (q15_t)0xa487, (q15_t)0x5976, (q15_t)0xa475,
+  (q15_t)0x5964, (q15_t)0xa463, (q15_t)0x5952, (q15_t)0xa452, (q15_t)0x5940, (q15_t)0xa440, (q15_t)0x592e, (q15_t)0xa42f,
+  (q15_t)0x591c, (q15_t)0xa41d, (q15_t)0x590a, (q15_t)0xa40c, (q15_t)0x58f8, (q15_t)0xa3fa, (q15_t)0x58e6, (q15_t)0xa3e9,
+  (q15_t)0x58d4, (q15_t)0xa3d7, (q15_t)0x58c1, (q15_t)0xa3c6, (q15_t)0x58af, (q15_t)0xa3b5, (q15_t)0x589d, (q15_t)0xa3a3,
+  (q15_t)0x588b, (q15_t)0xa392, (q15_t)0x5879, (q15_t)0xa380, (q15_t)0x5867, (q15_t)0xa36f, (q15_t)0x5855, (q15_t)0xa35e,
+  (q15_t)0x5842, (q15_t)0xa34c, (q15_t)0x5830, (q15_t)0xa33b, (q15_t)0x581e, (q15_t)0xa32a, (q15_t)0x580c, (q15_t)0xa318,
+  (q15_t)0x57f9, (q15_t)0xa307, (q15_t)0x57e7, (q15_t)0xa2f6, (q15_t)0x57d5, (q15_t)0xa2e5, (q15_t)0x57c3, (q15_t)0xa2d3,
+  (q15_t)0x57b0, (q15_t)0xa2c2, (q15_t)0x579e, (q15_t)0xa2b1, (q15_t)0x578c, (q15_t)0xa2a0, (q15_t)0x5779, (q15_t)0xa28f,
+  (q15_t)0x5767, (q15_t)0xa27d, (q15_t)0x5755, (q15_t)0xa26c, (q15_t)0x5742, (q15_t)0xa25b, (q15_t)0x5730, (q15_t)0xa24a,
+  (q15_t)0x571d, (q15_t)0xa239, (q15_t)0x570b, (q15_t)0xa228, (q15_t)0x56f9, (q15_t)0xa217, (q15_t)0x56e6, (q15_t)0xa206,
+  (q15_t)0x56d4, (q15_t)0xa1f5, (q15_t)0x56c1, (q15_t)0xa1e4, (q15_t)0x56af, (q15_t)0xa1d3, (q15_t)0x569c, (q15_t)0xa1c1,
+  (q15_t)0x568a, (q15_t)0xa1b0, (q15_t)0x5677, (q15_t)0xa1a0, (q15_t)0x5665, (q15_t)0xa18f, (q15_t)0x5652, (q15_t)0xa17e,
+  (q15_t)0x5640, (q15_t)0xa16d, (q15_t)0x562d, (q15_t)0xa15c, (q15_t)0x561a, (q15_t)0xa14b, (q15_t)0x5608, (q15_t)0xa13a,
+  (q15_t)0x55f5, (q15_t)0xa129, (q15_t)0x55e3, (q15_t)0xa118, (q15_t)0x55d0, (q15_t)0xa107, (q15_t)0x55bd, (q15_t)0xa0f6,
+  (q15_t)0x55ab, (q15_t)0xa0e6, (q15_t)0x5598, (q15_t)0xa0d5, (q15_t)0x5585, (q15_t)0xa0c4, (q15_t)0x5572, (q15_t)0xa0b3,
+  (q15_t)0x5560, (q15_t)0xa0a2, (q15_t)0x554d, (q15_t)0xa092, (q15_t)0x553a, (q15_t)0xa081, (q15_t)0x5528, (q15_t)0xa070,
+  (q15_t)0x5515, (q15_t)0xa060, (q15_t)0x5502, (q15_t)0xa04f, (q15_t)0x54ef, (q15_t)0xa03e, (q15_t)0x54dc, (q15_t)0xa02d,
+  (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x54b7, (q15_t)0xa00c, (q15_t)0x54a4, (q15_t)0x9ffc, (q15_t)0x5491, (q15_t)0x9feb,
+  (q15_t)0x547e, (q15_t)0x9fda, (q15_t)0x546b, (q15_t)0x9fca, (q15_t)0x5458, (q15_t)0x9fb9, (q15_t)0x5445, (q15_t)0x9fa9,
+  (q15_t)0x5433, (q15_t)0x9f98, (q15_t)0x5420, (q15_t)0x9f88, (q15_t)0x540d, (q15_t)0x9f77, (q15_t)0x53fa, (q15_t)0x9f67,
+  (q15_t)0x53e7, (q15_t)0x9f56, (q15_t)0x53d4, (q15_t)0x9f46, (q15_t)0x53c1, (q15_t)0x9f35, (q15_t)0x53ae, (q15_t)0x9f25,
+  (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x5388, (q15_t)0x9f04, (q15_t)0x5375, (q15_t)0x9ef3, (q15_t)0x5362, (q15_t)0x9ee3,
+  (q15_t)0x534e, (q15_t)0x9ed3, (q15_t)0x533b, (q15_t)0x9ec2, (q15_t)0x5328, (q15_t)0x9eb2, (q15_t)0x5315, (q15_t)0x9ea2,
+  (q15_t)0x5302, (q15_t)0x9e91, (q15_t)0x52ef, (q15_t)0x9e81, (q15_t)0x52dc, (q15_t)0x9e71, (q15_t)0x52c9, (q15_t)0x9e61,
+  (q15_t)0x52b5, (q15_t)0x9e50, (q15_t)0x52a2, (q15_t)0x9e40, (q15_t)0x528f, (q15_t)0x9e30, (q15_t)0x527c, (q15_t)0x9e20,
+  (q15_t)0x5269, (q15_t)0x9e0f, (q15_t)0x5255, (q15_t)0x9dff, (q15_t)0x5242, (q15_t)0x9def, (q15_t)0x522f, (q15_t)0x9ddf,
+  (q15_t)0x521c, (q15_t)0x9dcf, (q15_t)0x5208, (q15_t)0x9dbf, (q15_t)0x51f5, (q15_t)0x9daf, (q15_t)0x51e2, (q15_t)0x9d9f,
+  (q15_t)0x51ce, (q15_t)0x9d8f, (q15_t)0x51bb, (q15_t)0x9d7e, (q15_t)0x51a8, (q15_t)0x9d6e, (q15_t)0x5194, (q15_t)0x9d5e,
+  (q15_t)0x5181, (q15_t)0x9d4e, (q15_t)0x516e, (q15_t)0x9d3e, (q15_t)0x515a, (q15_t)0x9d2e, (q15_t)0x5147, (q15_t)0x9d1e,
+  (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x5120, (q15_t)0x9cff, (q15_t)0x510c, (q15_t)0x9cef, (q15_t)0x50f9, (q15_t)0x9cdf,
+  (q15_t)0x50e5, (q15_t)0x9ccf, (q15_t)0x50d2, (q15_t)0x9cbf, (q15_t)0x50bf, (q15_t)0x9caf, (q15_t)0x50ab, (q15_t)0x9c9f,
+  (q15_t)0x5097, (q15_t)0x9c8f, (q15_t)0x5084, (q15_t)0x9c80, (q15_t)0x5070, (q15_t)0x9c70, (q15_t)0x505d, (q15_t)0x9c60,
+  (q15_t)0x5049, (q15_t)0x9c50, (q15_t)0x5036, (q15_t)0x9c40, (q15_t)0x5022, (q15_t)0x9c31, (q15_t)0x500f, (q15_t)0x9c21,
+  (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4fe7, (q15_t)0x9c02, (q15_t)0x4fd4, (q15_t)0x9bf2, (q15_t)0x4fc0, (q15_t)0x9be2,
+  (q15_t)0x4fac, (q15_t)0x9bd3, (q15_t)0x4f99, (q15_t)0x9bc3, (q15_t)0x4f85, (q15_t)0x9bb3, (q15_t)0x4f71, (q15_t)0x9ba4,
+  (q15_t)0x4f5e, (q15_t)0x9b94, (q15_t)0x4f4a, (q15_t)0x9b85, (q15_t)0x4f36, (q15_t)0x9b75, (q15_t)0x4f22, (q15_t)0x9b65,
+  (q15_t)0x4f0f, (q15_t)0x9b56, (q15_t)0x4efb, (q15_t)0x9b46, (q15_t)0x4ee7, (q15_t)0x9b37, (q15_t)0x4ed3, (q15_t)0x9b27,
+  (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4eac, (q15_t)0x9b09, (q15_t)0x4e98, (q15_t)0x9af9, (q15_t)0x4e84, (q15_t)0x9aea,
+  (q15_t)0x4e70, (q15_t)0x9ada, (q15_t)0x4e5c, (q15_t)0x9acb, (q15_t)0x4e48, (q15_t)0x9abb, (q15_t)0x4e34, (q15_t)0x9aac,
+  (q15_t)0x4e21, (q15_t)0x9a9d, (q15_t)0x4e0d, (q15_t)0x9a8d, (q15_t)0x4df9, (q15_t)0x9a7e, (q15_t)0x4de5, (q15_t)0x9a6f,
+  (q15_t)0x4dd1, (q15_t)0x9a60, (q15_t)0x4dbd, (q15_t)0x9a50, (q15_t)0x4da9, (q15_t)0x9a41, (q15_t)0x4d95, (q15_t)0x9a32,
+  (q15_t)0x4d81, (q15_t)0x9a23, (q15_t)0x4d6d, (q15_t)0x9a13, (q15_t)0x4d59, (q15_t)0x9a04, (q15_t)0x4d45, (q15_t)0x99f5,
+  (q15_t)0x4d31, (q15_t)0x99e6, (q15_t)0x4d1d, (q15_t)0x99d7, (q15_t)0x4d09, (q15_t)0x99c7, (q15_t)0x4cf5, (q15_t)0x99b8,
+  (q15_t)0x4ce1, (q15_t)0x99a9, (q15_t)0x4ccc, (q15_t)0x999a, (q15_t)0x4cb8, (q15_t)0x998b, (q15_t)0x4ca4, (q15_t)0x997c,
+  (q15_t)0x4c90, (q15_t)0x996d, (q15_t)0x4c7c, (q15_t)0x995e, (q15_t)0x4c68, (q15_t)0x994f, (q15_t)0x4c54, (q15_t)0x9940,
+  (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4c2b, (q15_t)0x9922, (q15_t)0x4c17, (q15_t)0x9913, (q15_t)0x4c03, (q15_t)0x9904,
+  (q15_t)0x4bef, (q15_t)0x98f5, (q15_t)0x4bda, (q15_t)0x98e6, (q15_t)0x4bc6, (q15_t)0x98d7, (q15_t)0x4bb2, (q15_t)0x98c9,
+  (q15_t)0x4b9e, (q15_t)0x98ba, (q15_t)0x4b89, (q15_t)0x98ab, (q15_t)0x4b75, (q15_t)0x989c, (q15_t)0x4b61, (q15_t)0x988d,
+  (q15_t)0x4b4c, (q15_t)0x987e, (q15_t)0x4b38, (q15_t)0x9870, (q15_t)0x4b24, (q15_t)0x9861, (q15_t)0x4b0f, (q15_t)0x9852,
+  (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x4ae7, (q15_t)0x9835, (q15_t)0x4ad2, (q15_t)0x9826, (q15_t)0x4abe, (q15_t)0x9817,
+  (q15_t)0x4aa9, (q15_t)0x9809, (q15_t)0x4a95, (q15_t)0x97fa, (q15_t)0x4a81, (q15_t)0x97eb, (q15_t)0x4a6c, (q15_t)0x97dd,
+  (q15_t)0x4a58, (q15_t)0x97ce, (q15_t)0x4a43, (q15_t)0x97c0, (q15_t)0x4a2f, (q15_t)0x97b1, (q15_t)0x4a1a, (q15_t)0x97a2,
+  (q15_t)0x4a06, (q15_t)0x9794, (q15_t)0x49f1, (q15_t)0x9785, (q15_t)0x49dd, (q15_t)0x9777, (q15_t)0x49c8, (q15_t)0x9768,
+  (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x499f, (q15_t)0x974b, (q15_t)0x498a, (q15_t)0x973d, (q15_t)0x4976, (q15_t)0x972f,
+  (q15_t)0x4961, (q15_t)0x9720, (q15_t)0x494d, (q15_t)0x9712, (q15_t)0x4938, (q15_t)0x9703, (q15_t)0x4923, (q15_t)0x96f5,
+  (q15_t)0x490f, (q15_t)0x96e7, (q15_t)0x48fa, (q15_t)0x96d8, (q15_t)0x48e6, (q15_t)0x96ca, (q15_t)0x48d1, (q15_t)0x96bc,
+  (q15_t)0x48bc, (q15_t)0x96ad, (q15_t)0x48a8, (q15_t)0x969f, (q15_t)0x4893, (q15_t)0x9691, (q15_t)0x487e, (q15_t)0x9683,
+  (q15_t)0x4869, (q15_t)0x9674, (q15_t)0x4855, (q15_t)0x9666, (q15_t)0x4840, (q15_t)0x9658, (q15_t)0x482b, (q15_t)0x964a,
+  (q15_t)0x4816, (q15_t)0x963c, (q15_t)0x4802, (q15_t)0x962d, (q15_t)0x47ed, (q15_t)0x961f, (q15_t)0x47d8, (q15_t)0x9611,
+  (q15_t)0x47c3, (q15_t)0x9603, (q15_t)0x47ae, (q15_t)0x95f5, (q15_t)0x479a, (q15_t)0x95e7, (q15_t)0x4785, (q15_t)0x95d9,
+  (q15_t)0x4770, (q15_t)0x95cb, (q15_t)0x475b, (q15_t)0x95bd, (q15_t)0x4746, (q15_t)0x95af, (q15_t)0x4731, (q15_t)0x95a1,
+  (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x4708, (q15_t)0x9585, (q15_t)0x46f3, (q15_t)0x9577, (q15_t)0x46de, (q15_t)0x9569,
+  (q15_t)0x46c9, (q15_t)0x955b, (q15_t)0x46b4, (q15_t)0x954d, (q15_t)0x469f, (q15_t)0x953f, (q15_t)0x468a, (q15_t)0x9532,
+  (q15_t)0x4675, (q15_t)0x9524, (q15_t)0x4660, (q15_t)0x9516, (q15_t)0x464b, (q15_t)0x9508, (q15_t)0x4636, (q15_t)0x94fa,
+  (q15_t)0x4621, (q15_t)0x94ed, (q15_t)0x460c, (q15_t)0x94df, (q15_t)0x45f7, (q15_t)0x94d1, (q15_t)0x45e2, (q15_t)0x94c3,
+  (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x45b8, (q15_t)0x94a8, (q15_t)0x45a3, (q15_t)0x949a, (q15_t)0x458d, (q15_t)0x948d,
+  (q15_t)0x4578, (q15_t)0x947f, (q15_t)0x4563, (q15_t)0x9471, (q15_t)0x454e, (q15_t)0x9464, (q15_t)0x4539, (q15_t)0x9456,
+  (q15_t)0x4524, (q15_t)0x9448, (q15_t)0x450f, (q15_t)0x943b, (q15_t)0x44fa, (q15_t)0x942d, (q15_t)0x44e4, (q15_t)0x9420,
+  (q15_t)0x44cf, (q15_t)0x9412, (q15_t)0x44ba, (q15_t)0x9405, (q15_t)0x44a5, (q15_t)0x93f7, (q15_t)0x4490, (q15_t)0x93ea,
+  (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4465, (q15_t)0x93cf, (q15_t)0x4450, (q15_t)0x93c1, (q15_t)0x443b, (q15_t)0x93b4,
+  (q15_t)0x4425, (q15_t)0x93a7, (q15_t)0x4410, (q15_t)0x9399, (q15_t)0x43fb, (q15_t)0x938c, (q15_t)0x43e5, (q15_t)0x937f,
+  (q15_t)0x43d0, (q15_t)0x9371, (q15_t)0x43bb, (q15_t)0x9364, (q15_t)0x43a5, (q15_t)0x9357, (q15_t)0x4390, (q15_t)0x9349,
+  (q15_t)0x437b, (q15_t)0x933c, (q15_t)0x4365, (q15_t)0x932f, (q15_t)0x4350, (q15_t)0x9322, (q15_t)0x433b, (q15_t)0x9314,
+  (q15_t)0x4325, (q15_t)0x9307, (q15_t)0x4310, (q15_t)0x92fa, (q15_t)0x42fa, (q15_t)0x92ed, (q15_t)0x42e5, (q15_t)0x92e0,
+  (q15_t)0x42d0, (q15_t)0x92d3, (q15_t)0x42ba, (q15_t)0x92c6, (q15_t)0x42a5, (q15_t)0x92b8, (q15_t)0x428f, (q15_t)0x92ab,
+  (q15_t)0x427a, (q15_t)0x929e, (q15_t)0x4264, (q15_t)0x9291, (q15_t)0x424f, (q15_t)0x9284, (q15_t)0x4239, (q15_t)0x9277,
+  (q15_t)0x4224, (q15_t)0x926a, (q15_t)0x420e, (q15_t)0x925d, (q15_t)0x41f9, (q15_t)0x9250, (q15_t)0x41e3, (q15_t)0x9243,
+  (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x41b8, (q15_t)0x922a, (q15_t)0x41a2, (q15_t)0x921d, (q15_t)0x418d, (q15_t)0x9210,
+  (q15_t)0x4177, (q15_t)0x9203, (q15_t)0x4162, (q15_t)0x91f6, (q15_t)0x414c, (q15_t)0x91e9, (q15_t)0x4136, (q15_t)0x91dc,
+  (q15_t)0x4121, (q15_t)0x91d0, (q15_t)0x410b, (q15_t)0x91c3, (q15_t)0x40f6, (q15_t)0x91b6, (q15_t)0x40e0, (q15_t)0x91a9,
+  (q15_t)0x40ca, (q15_t)0x919d, (q15_t)0x40b5, (q15_t)0x9190, (q15_t)0x409f, (q15_t)0x9183, (q15_t)0x4089, (q15_t)0x9177,
+  (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x405e, (q15_t)0x915d, (q15_t)0x4048, (q15_t)0x9151, (q15_t)0x4032, (q15_t)0x9144,
+  (q15_t)0x401d, (q15_t)0x9137, (q15_t)0x4007, (q15_t)0x912b, (q15_t)0x3ff1, (q15_t)0x911e, (q15_t)0x3fdb, (q15_t)0x9112,
+  (q15_t)0x3fc5, (q15_t)0x9105, (q15_t)0x3fb0, (q15_t)0x90f9, (q15_t)0x3f9a, (q15_t)0x90ec, (q15_t)0x3f84, (q15_t)0x90e0,
+  (q15_t)0x3f6e, (q15_t)0x90d3, (q15_t)0x3f58, (q15_t)0x90c7, (q15_t)0x3f43, (q15_t)0x90ba, (q15_t)0x3f2d, (q15_t)0x90ae,
+  (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3f01, (q15_t)0x9095, (q15_t)0x3eeb, (q15_t)0x9089, (q15_t)0x3ed5, (q15_t)0x907c,
+  (q15_t)0x3ebf, (q15_t)0x9070, (q15_t)0x3ea9, (q15_t)0x9064, (q15_t)0x3e93, (q15_t)0x9057, (q15_t)0x3e7d, (q15_t)0x904b,
+  (q15_t)0x3e68, (q15_t)0x903f, (q15_t)0x3e52, (q15_t)0x9033, (q15_t)0x3e3c, (q15_t)0x9026, (q15_t)0x3e26, (q15_t)0x901a,
+  (q15_t)0x3e10, (q15_t)0x900e, (q15_t)0x3dfa, (q15_t)0x9002, (q15_t)0x3de4, (q15_t)0x8ff6, (q15_t)0x3dce, (q15_t)0x8fea,
+  (q15_t)0x3db8, (q15_t)0x8fdd, (q15_t)0x3da2, (q15_t)0x8fd1, (q15_t)0x3d8c, (q15_t)0x8fc5, (q15_t)0x3d76, (q15_t)0x8fb9,
+  (q15_t)0x3d60, (q15_t)0x8fad, (q15_t)0x3d49, (q15_t)0x8fa1, (q15_t)0x3d33, (q15_t)0x8f95, (q15_t)0x3d1d, (q15_t)0x8f89,
+  (q15_t)0x3d07, (q15_t)0x8f7d, (q15_t)0x3cf1, (q15_t)0x8f71, (q15_t)0x3cdb, (q15_t)0x8f65, (q15_t)0x3cc5, (q15_t)0x8f59,
+  (q15_t)0x3caf, (q15_t)0x8f4d, (q15_t)0x3c99, (q15_t)0x8f41, (q15_t)0x3c83, (q15_t)0x8f35, (q15_t)0x3c6c, (q15_t)0x8f2a,
+  (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3c40, (q15_t)0x8f12, (q15_t)0x3c2a, (q15_t)0x8f06, (q15_t)0x3c14, (q15_t)0x8efa,
+  (q15_t)0x3bfd, (q15_t)0x8eee, (q15_t)0x3be7, (q15_t)0x8ee3, (q15_t)0x3bd1, (q15_t)0x8ed7, (q15_t)0x3bbb, (q15_t)0x8ecb,
+  (q15_t)0x3ba5, (q15_t)0x8ebf, (q15_t)0x3b8e, (q15_t)0x8eb4, (q15_t)0x3b78, (q15_t)0x8ea8, (q15_t)0x3b62, (q15_t)0x8e9c,
+  (q15_t)0x3b4c, (q15_t)0x8e91, (q15_t)0x3b35, (q15_t)0x8e85, (q15_t)0x3b1f, (q15_t)0x8e7a, (q15_t)0x3b09, (q15_t)0x8e6e,
+  (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x3adc, (q15_t)0x8e57, (q15_t)0x3ac6, (q15_t)0x8e4b, (q15_t)0x3aaf, (q15_t)0x8e40,
+  (q15_t)0x3a99, (q15_t)0x8e34, (q15_t)0x3a83, (q15_t)0x8e29, (q15_t)0x3a6c, (q15_t)0x8e1d, (q15_t)0x3a56, (q15_t)0x8e12,
+  (q15_t)0x3a40, (q15_t)0x8e06, (q15_t)0x3a29, (q15_t)0x8dfb, (q15_t)0x3a13, (q15_t)0x8def, (q15_t)0x39fd, (q15_t)0x8de4,
+  (q15_t)0x39e6, (q15_t)0x8dd9, (q15_t)0x39d0, (q15_t)0x8dcd, (q15_t)0x39b9, (q15_t)0x8dc2, (q15_t)0x39a3, (q15_t)0x8db7,
+  (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3976, (q15_t)0x8da0, (q15_t)0x395f, (q15_t)0x8d95, (q15_t)0x3949, (q15_t)0x8d8a,
+  (q15_t)0x3932, (q15_t)0x8d7e, (q15_t)0x391c, (q15_t)0x8d73, (q15_t)0x3906, (q15_t)0x8d68, (q15_t)0x38ef, (q15_t)0x8d5d,
+  (q15_t)0x38d8, (q15_t)0x8d51, (q15_t)0x38c2, (q15_t)0x8d46, (q15_t)0x38ab, (q15_t)0x8d3b, (q15_t)0x3895, (q15_t)0x8d30,
+  (q15_t)0x387e, (q15_t)0x8d25, (q15_t)0x3868, (q15_t)0x8d1a, (q15_t)0x3851, (q15_t)0x8d0f, (q15_t)0x383b, (q15_t)0x8d04,
+  (q15_t)0x3824, (q15_t)0x8cf9, (q15_t)0x380d, (q15_t)0x8cee, (q15_t)0x37f7, (q15_t)0x8ce3, (q15_t)0x37e0, (q15_t)0x8cd8,
+  (q15_t)0x37ca, (q15_t)0x8ccd, (q15_t)0x37b3, (q15_t)0x8cc2, (q15_t)0x379c, (q15_t)0x8cb7, (q15_t)0x3786, (q15_t)0x8cac,
+  (q15_t)0x376f, (q15_t)0x8ca1, (q15_t)0x3758, (q15_t)0x8c96, (q15_t)0x3742, (q15_t)0x8c8b, (q15_t)0x372b, (q15_t)0x8c81,
+  (q15_t)0x3714, (q15_t)0x8c76, (q15_t)0x36fe, (q15_t)0x8c6b, (q15_t)0x36e7, (q15_t)0x8c60, (q15_t)0x36d0, (q15_t)0x8c55,
+  (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x36a3, (q15_t)0x8c40, (q15_t)0x368c, (q15_t)0x8c35, (q15_t)0x3675, (q15_t)0x8c2a,
+  (q15_t)0x365f, (q15_t)0x8c20, (q15_t)0x3648, (q15_t)0x8c15, (q15_t)0x3631, (q15_t)0x8c0a, (q15_t)0x361a, (q15_t)0x8c00,
+  (q15_t)0x3604, (q15_t)0x8bf5, (q15_t)0x35ed, (q15_t)0x8beb, (q15_t)0x35d6, (q15_t)0x8be0, (q15_t)0x35bf, (q15_t)0x8bd5,
+  (q15_t)0x35a8, (q15_t)0x8bcb, (q15_t)0x3592, (q15_t)0x8bc0, (q15_t)0x357b, (q15_t)0x8bb6, (q15_t)0x3564, (q15_t)0x8bab,
+  (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x3536, (q15_t)0x8b96, (q15_t)0x351f, (q15_t)0x8b8c, (q15_t)0x3508, (q15_t)0x8b82,
+  (q15_t)0x34f2, (q15_t)0x8b77, (q15_t)0x34db, (q15_t)0x8b6d, (q15_t)0x34c4, (q15_t)0x8b62, (q15_t)0x34ad, (q15_t)0x8b58,
+  (q15_t)0x3496, (q15_t)0x8b4e, (q15_t)0x347f, (q15_t)0x8b43, (q15_t)0x3468, (q15_t)0x8b39, (q15_t)0x3451, (q15_t)0x8b2f,
+  (q15_t)0x343a, (q15_t)0x8b25, (q15_t)0x3423, (q15_t)0x8b1a, (q15_t)0x340c, (q15_t)0x8b10, (q15_t)0x33f5, (q15_t)0x8b06,
+  (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x33c7, (q15_t)0x8af1, (q15_t)0x33b0, (q15_t)0x8ae7, (q15_t)0x3399, (q15_t)0x8add,
+  (q15_t)0x3382, (q15_t)0x8ad3, (q15_t)0x336b, (q15_t)0x8ac9, (q15_t)0x3354, (q15_t)0x8abf, (q15_t)0x333d, (q15_t)0x8ab5,
+  (q15_t)0x3326, (q15_t)0x8aab, (q15_t)0x330f, (q15_t)0x8aa1, (q15_t)0x32f8, (q15_t)0x8a97, (q15_t)0x32e1, (q15_t)0x8a8d,
+  (q15_t)0x32ca, (q15_t)0x8a83, (q15_t)0x32b3, (q15_t)0x8a79, (q15_t)0x329c, (q15_t)0x8a6f, (q15_t)0x3285, (q15_t)0x8a65,
+  (q15_t)0x326e, (q15_t)0x8a5b, (q15_t)0x3257, (q15_t)0x8a51, (q15_t)0x3240, (q15_t)0x8a47, (q15_t)0x3228, (q15_t)0x8a3d,
+  (q15_t)0x3211, (q15_t)0x8a34, (q15_t)0x31fa, (q15_t)0x8a2a, (q15_t)0x31e3, (q15_t)0x8a20, (q15_t)0x31cc, (q15_t)0x8a16,
+  (q15_t)0x31b5, (q15_t)0x8a0c, (q15_t)0x319e, (q15_t)0x8a03, (q15_t)0x3186, (q15_t)0x89f9, (q15_t)0x316f, (q15_t)0x89ef,
+  (q15_t)0x3158, (q15_t)0x89e5, (q15_t)0x3141, (q15_t)0x89dc, (q15_t)0x312a, (q15_t)0x89d2, (q15_t)0x3112, (q15_t)0x89c8,
+  (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x30e4, (q15_t)0x89b5, (q15_t)0x30cd, (q15_t)0x89ac, (q15_t)0x30b6, (q15_t)0x89a2,
+  (q15_t)0x309e, (q15_t)0x8998, (q15_t)0x3087, (q15_t)0x898f, (q15_t)0x3070, (q15_t)0x8985, (q15_t)0x3059, (q15_t)0x897c,
+  (q15_t)0x3041, (q15_t)0x8972, (q15_t)0x302a, (q15_t)0x8969, (q15_t)0x3013, (q15_t)0x8960, (q15_t)0x2ffb, (q15_t)0x8956,
+  (q15_t)0x2fe4, (q15_t)0x894d, (q15_t)0x2fcd, (q15_t)0x8943, (q15_t)0x2fb5, (q15_t)0x893a, (q15_t)0x2f9e, (q15_t)0x8931,
+  (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2f6f, (q15_t)0x891e, (q15_t)0x2f58, (q15_t)0x8915, (q15_t)0x2f41, (q15_t)0x890b,
+  (q15_t)0x2f29, (q15_t)0x8902, (q15_t)0x2f12, (q15_t)0x88f9, (q15_t)0x2efb, (q15_t)0x88f0, (q15_t)0x2ee3, (q15_t)0x88e6,
+  (q15_t)0x2ecc, (q15_t)0x88dd, (q15_t)0x2eb5, (q15_t)0x88d4, (q15_t)0x2e9d, (q15_t)0x88cb, (q15_t)0x2e86, (q15_t)0x88c2,
+  (q15_t)0x2e6e, (q15_t)0x88b9, (q15_t)0x2e57, (q15_t)0x88af, (q15_t)0x2e3f, (q15_t)0x88a6, (q15_t)0x2e28, (q15_t)0x889d,
+  (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2df9, (q15_t)0x888b, (q15_t)0x2de2, (q15_t)0x8882, (q15_t)0x2dca, (q15_t)0x8879,
+  (q15_t)0x2db3, (q15_t)0x8870, (q15_t)0x2d9b, (q15_t)0x8867, (q15_t)0x2d84, (q15_t)0x885e, (q15_t)0x2d6c, (q15_t)0x8855,
+  (q15_t)0x2d55, (q15_t)0x884c, (q15_t)0x2d3d, (q15_t)0x8844, (q15_t)0x2d26, (q15_t)0x883b, (q15_t)0x2d0e, (q15_t)0x8832,
+  (q15_t)0x2cf7, (q15_t)0x8829, (q15_t)0x2cdf, (q15_t)0x8820, (q15_t)0x2cc8, (q15_t)0x8817, (q15_t)0x2cb0, (q15_t)0x880f,
+  (q15_t)0x2c98, (q15_t)0x8806, (q15_t)0x2c81, (q15_t)0x87fd, (q15_t)0x2c69, (q15_t)0x87f4, (q15_t)0x2c52, (q15_t)0x87ec,
+  (q15_t)0x2c3a, (q15_t)0x87e3, (q15_t)0x2c23, (q15_t)0x87da, (q15_t)0x2c0b, (q15_t)0x87d2, (q15_t)0x2bf3, (q15_t)0x87c9,
+  (q15_t)0x2bdc, (q15_t)0x87c0, (q15_t)0x2bc4, (q15_t)0x87b8, (q15_t)0x2bad, (q15_t)0x87af, (q15_t)0x2b95, (q15_t)0x87a7,
+  (q15_t)0x2b7d, (q15_t)0x879e, (q15_t)0x2b66, (q15_t)0x8795, (q15_t)0x2b4e, (q15_t)0x878d, (q15_t)0x2b36, (q15_t)0x8784,
+  (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x2b07, (q15_t)0x8774, (q15_t)0x2aef, (q15_t)0x876b, (q15_t)0x2ad8, (q15_t)0x8763,
+  (q15_t)0x2ac0, (q15_t)0x875a, (q15_t)0x2aa8, (q15_t)0x8752, (q15_t)0x2a91, (q15_t)0x874a, (q15_t)0x2a79, (q15_t)0x8741,
+  (q15_t)0x2a61, (q15_t)0x8739, (q15_t)0x2a49, (q15_t)0x8731, (q15_t)0x2a32, (q15_t)0x8728, (q15_t)0x2a1a, (q15_t)0x8720,
+  (q15_t)0x2a02, (q15_t)0x8718, (q15_t)0x29eb, (q15_t)0x870f, (q15_t)0x29d3, (q15_t)0x8707, (q15_t)0x29bb, (q15_t)0x86ff,
+  (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x298b, (q15_t)0x86ef, (q15_t)0x2974, (q15_t)0x86e7, (q15_t)0x295c, (q15_t)0x86de,
+  (q15_t)0x2944, (q15_t)0x86d6, (q15_t)0x292c, (q15_t)0x86ce, (q15_t)0x2915, (q15_t)0x86c6, (q15_t)0x28fd, (q15_t)0x86be,
+  (q15_t)0x28e5, (q15_t)0x86b6, (q15_t)0x28cd, (q15_t)0x86ae, (q15_t)0x28b5, (q15_t)0x86a6, (q15_t)0x289d, (q15_t)0x869e,
+  (q15_t)0x2886, (q15_t)0x8696, (q15_t)0x286e, (q15_t)0x868e, (q15_t)0x2856, (q15_t)0x8686, (q15_t)0x283e, (q15_t)0x867e,
+  (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x280e, (q15_t)0x866e, (q15_t)0x27f6, (q15_t)0x8667, (q15_t)0x27df, (q15_t)0x865f,
+  (q15_t)0x27c7, (q15_t)0x8657, (q15_t)0x27af, (q15_t)0x864f, (q15_t)0x2797, (q15_t)0x8647, (q15_t)0x277f, (q15_t)0x8640,
+  (q15_t)0x2767, (q15_t)0x8638, (q15_t)0x274f, (q15_t)0x8630, (q15_t)0x2737, (q15_t)0x8628, (q15_t)0x271f, (q15_t)0x8621,
+  (q15_t)0x2707, (q15_t)0x8619, (q15_t)0x26ef, (q15_t)0x8611, (q15_t)0x26d8, (q15_t)0x860a, (q15_t)0x26c0, (q15_t)0x8602,
+  (q15_t)0x26a8, (q15_t)0x85fb, (q15_t)0x2690, (q15_t)0x85f3, (q15_t)0x2678, (q15_t)0x85eb, (q15_t)0x2660, (q15_t)0x85e4,
+  (q15_t)0x2648, (q15_t)0x85dc, (q15_t)0x2630, (q15_t)0x85d5, (q15_t)0x2618, (q15_t)0x85cd, (q15_t)0x2600, (q15_t)0x85c6,
+  (q15_t)0x25e8, (q15_t)0x85be, (q15_t)0x25d0, (q15_t)0x85b7, (q15_t)0x25b8, (q15_t)0x85b0, (q15_t)0x25a0, (q15_t)0x85a8,
+  (q15_t)0x2588, (q15_t)0x85a1, (q15_t)0x2570, (q15_t)0x8599, (q15_t)0x2558, (q15_t)0x8592, (q15_t)0x2540, (q15_t)0x858b,
+  (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x250f, (q15_t)0x857c, (q15_t)0x24f7, (q15_t)0x8575, (q15_t)0x24df, (q15_t)0x856e,
+  (q15_t)0x24c7, (q15_t)0x8566, (q15_t)0x24af, (q15_t)0x855f, (q15_t)0x2497, (q15_t)0x8558, (q15_t)0x247f, (q15_t)0x8551,
+  (q15_t)0x2467, (q15_t)0x854a, (q15_t)0x244f, (q15_t)0x8543, (q15_t)0x2437, (q15_t)0x853b, (q15_t)0x241f, (q15_t)0x8534,
+  (q15_t)0x2407, (q15_t)0x852d, (q15_t)0x23ee, (q15_t)0x8526, (q15_t)0x23d6, (q15_t)0x851f, (q15_t)0x23be, (q15_t)0x8518,
+  (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x238e, (q15_t)0x850a, (q15_t)0x2376, (q15_t)0x8503, (q15_t)0x235e, (q15_t)0x84fc,
+  (q15_t)0x2345, (q15_t)0x84f5, (q15_t)0x232d, (q15_t)0x84ee, (q15_t)0x2315, (q15_t)0x84e7, (q15_t)0x22fd, (q15_t)0x84e1,
+  (q15_t)0x22e5, (q15_t)0x84da, (q15_t)0x22cd, (q15_t)0x84d3, (q15_t)0x22b4, (q15_t)0x84cc, (q15_t)0x229c, (q15_t)0x84c5,
+  (q15_t)0x2284, (q15_t)0x84be, (q15_t)0x226c, (q15_t)0x84b8, (q15_t)0x2254, (q15_t)0x84b1, (q15_t)0x223b, (q15_t)0x84aa,
+  (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x220b, (q15_t)0x849d, (q15_t)0x21f3, (q15_t)0x8496, (q15_t)0x21da, (q15_t)0x848f,
+  (q15_t)0x21c2, (q15_t)0x8489, (q15_t)0x21aa, (q15_t)0x8482, (q15_t)0x2192, (q15_t)0x847c, (q15_t)0x2179, (q15_t)0x8475,
+  (q15_t)0x2161, (q15_t)0x846e, (q15_t)0x2149, (q15_t)0x8468, (q15_t)0x2131, (q15_t)0x8461, (q15_t)0x2118, (q15_t)0x845b,
+  (q15_t)0x2100, (q15_t)0x8454, (q15_t)0x20e8, (q15_t)0x844e, (q15_t)0x20d0, (q15_t)0x8447, (q15_t)0x20b7, (q15_t)0x8441,
+  (q15_t)0x209f, (q15_t)0x843b, (q15_t)0x2087, (q15_t)0x8434, (q15_t)0x206e, (q15_t)0x842e, (q15_t)0x2056, (q15_t)0x8427,
+  (q15_t)0x203e, (q15_t)0x8421, (q15_t)0x2025, (q15_t)0x841b, (q15_t)0x200d, (q15_t)0x8415, (q15_t)0x1ff5, (q15_t)0x840e,
+  (q15_t)0x1fdc, (q15_t)0x8408, (q15_t)0x1fc4, (q15_t)0x8402, (q15_t)0x1fac, (q15_t)0x83fb, (q15_t)0x1f93, (q15_t)0x83f5,
+  (q15_t)0x1f7b, (q15_t)0x83ef, (q15_t)0x1f63, (q15_t)0x83e9, (q15_t)0x1f4a, (q15_t)0x83e3, (q15_t)0x1f32, (q15_t)0x83dd,
+  (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1f01, (q15_t)0x83d0, (q15_t)0x1ee9, (q15_t)0x83ca, (q15_t)0x1ed0, (q15_t)0x83c4,
+  (q15_t)0x1eb8, (q15_t)0x83be, (q15_t)0x1ea0, (q15_t)0x83b8, (q15_t)0x1e87, (q15_t)0x83b2, (q15_t)0x1e6f, (q15_t)0x83ac,
+  (q15_t)0x1e56, (q15_t)0x83a6, (q15_t)0x1e3e, (q15_t)0x83a0, (q15_t)0x1e25, (q15_t)0x839a, (q15_t)0x1e0d, (q15_t)0x8394,
+  (q15_t)0x1df5, (q15_t)0x838f, (q15_t)0x1ddc, (q15_t)0x8389, (q15_t)0x1dc4, (q15_t)0x8383, (q15_t)0x1dab, (q15_t)0x837d,
+  (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1d7a, (q15_t)0x8371, (q15_t)0x1d62, (q15_t)0x836c, (q15_t)0x1d49, (q15_t)0x8366,
+  (q15_t)0x1d31, (q15_t)0x8360, (q15_t)0x1d18, (q15_t)0x835a, (q15_t)0x1d00, (q15_t)0x8355, (q15_t)0x1ce8, (q15_t)0x834f,
+  (q15_t)0x1ccf, (q15_t)0x8349, (q15_t)0x1cb7, (q15_t)0x8344, (q15_t)0x1c9e, (q15_t)0x833e, (q15_t)0x1c86, (q15_t)0x8338,
+  (q15_t)0x1c6d, (q15_t)0x8333, (q15_t)0x1c55, (q15_t)0x832d, (q15_t)0x1c3c, (q15_t)0x8328, (q15_t)0x1c24, (q15_t)0x8322,
+  (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1bf2, (q15_t)0x8317, (q15_t)0x1bda, (q15_t)0x8312, (q15_t)0x1bc1, (q15_t)0x830c,
+  (q15_t)0x1ba9, (q15_t)0x8307, (q15_t)0x1b90, (q15_t)0x8301, (q15_t)0x1b78, (q15_t)0x82fc, (q15_t)0x1b5f, (q15_t)0x82f7,
+  (q15_t)0x1b47, (q15_t)0x82f1, (q15_t)0x1b2e, (q15_t)0x82ec, (q15_t)0x1b16, (q15_t)0x82e7, (q15_t)0x1afd, (q15_t)0x82e1,
+  (q15_t)0x1ae4, (q15_t)0x82dc, (q15_t)0x1acc, (q15_t)0x82d7, (q15_t)0x1ab3, (q15_t)0x82d1, (q15_t)0x1a9b, (q15_t)0x82cc,
+  (q15_t)0x1a82, (q15_t)0x82c7, (q15_t)0x1a6a, (q15_t)0x82c2, (q15_t)0x1a51, (q15_t)0x82bd, (q15_t)0x1a38, (q15_t)0x82b7,
+  (q15_t)0x1a20, (q15_t)0x82b2, (q15_t)0x1a07, (q15_t)0x82ad, (q15_t)0x19ef, (q15_t)0x82a8, (q15_t)0x19d6, (q15_t)0x82a3,
+  (q15_t)0x19bd, (q15_t)0x829e, (q15_t)0x19a5, (q15_t)0x8299, (q15_t)0x198c, (q15_t)0x8294, (q15_t)0x1973, (q15_t)0x828f,
+  (q15_t)0x195b, (q15_t)0x828a, (q15_t)0x1942, (q15_t)0x8285, (q15_t)0x192a, (q15_t)0x8280, (q15_t)0x1911, (q15_t)0x827b,
+  (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x18e0, (q15_t)0x8271, (q15_t)0x18c7, (q15_t)0x826c, (q15_t)0x18ae, (q15_t)0x8268,
+  (q15_t)0x1896, (q15_t)0x8263, (q15_t)0x187d, (q15_t)0x825e, (q15_t)0x1864, (q15_t)0x8259, (q15_t)0x184c, (q15_t)0x8254,
+  (q15_t)0x1833, (q15_t)0x8250, (q15_t)0x181a, (q15_t)0x824b, (q15_t)0x1802, (q15_t)0x8246, (q15_t)0x17e9, (q15_t)0x8241,
+  (q15_t)0x17d0, (q15_t)0x823d, (q15_t)0x17b7, (q15_t)0x8238, (q15_t)0x179f, (q15_t)0x8233, (q15_t)0x1786, (q15_t)0x822f,
+  (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x1755, (q15_t)0x8226, (q15_t)0x173c, (q15_t)0x8221, (q15_t)0x1723, (q15_t)0x821c,
+  (q15_t)0x170a, (q15_t)0x8218, (q15_t)0x16f2, (q15_t)0x8213, (q15_t)0x16d9, (q15_t)0x820f, (q15_t)0x16c0, (q15_t)0x820a,
+  (q15_t)0x16a8, (q15_t)0x8206, (q15_t)0x168f, (q15_t)0x8201, (q15_t)0x1676, (q15_t)0x81fd, (q15_t)0x165d, (q15_t)0x81f9,
+  (q15_t)0x1645, (q15_t)0x81f4, (q15_t)0x162c, (q15_t)0x81f0, (q15_t)0x1613, (q15_t)0x81ec, (q15_t)0x15fa, (q15_t)0x81e7,
+  (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x15c9, (q15_t)0x81df, (q15_t)0x15b0, (q15_t)0x81da, (q15_t)0x1597, (q15_t)0x81d6,
+  (q15_t)0x157f, (q15_t)0x81d2, (q15_t)0x1566, (q15_t)0x81ce, (q15_t)0x154d, (q15_t)0x81c9, (q15_t)0x1534, (q15_t)0x81c5,
+  (q15_t)0x151b, (q15_t)0x81c1, (q15_t)0x1503, (q15_t)0x81bd, (q15_t)0x14ea, (q15_t)0x81b9, (q15_t)0x14d1, (q15_t)0x81b5,
+  (q15_t)0x14b8, (q15_t)0x81b1, (q15_t)0x149f, (q15_t)0x81ad, (q15_t)0x1487, (q15_t)0x81a9, (q15_t)0x146e, (q15_t)0x81a5,
+  (q15_t)0x1455, (q15_t)0x81a1, (q15_t)0x143c, (q15_t)0x819d, (q15_t)0x1423, (q15_t)0x8199, (q15_t)0x140b, (q15_t)0x8195,
+  (q15_t)0x13f2, (q15_t)0x8191, (q15_t)0x13d9, (q15_t)0x818d, (q15_t)0x13c0, (q15_t)0x8189, (q15_t)0x13a7, (q15_t)0x8185,
+  (q15_t)0x138e, (q15_t)0x8181, (q15_t)0x1376, (q15_t)0x817d, (q15_t)0x135d, (q15_t)0x817a, (q15_t)0x1344, (q15_t)0x8176,
+  (q15_t)0x132b, (q15_t)0x8172, (q15_t)0x1312, (q15_t)0x816e, (q15_t)0x12f9, (q15_t)0x816b, (q15_t)0x12e0, (q15_t)0x8167,
+  (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x12af, (q15_t)0x815f, (q15_t)0x1296, (q15_t)0x815c, (q15_t)0x127d, (q15_t)0x8158,
+  (q15_t)0x1264, (q15_t)0x8155, (q15_t)0x124b, (q15_t)0x8151, (q15_t)0x1232, (q15_t)0x814d, (q15_t)0x1219, (q15_t)0x814a,
+  (q15_t)0x1201, (q15_t)0x8146, (q15_t)0x11e8, (q15_t)0x8143, (q15_t)0x11cf, (q15_t)0x813f, (q15_t)0x11b6, (q15_t)0x813c,
+  (q15_t)0x119d, (q15_t)0x8138, (q15_t)0x1184, (q15_t)0x8135, (q15_t)0x116b, (q15_t)0x8131, (q15_t)0x1152, (q15_t)0x812e,
+  (q15_t)0x1139, (q15_t)0x812b, (q15_t)0x1121, (q15_t)0x8127, (q15_t)0x1108, (q15_t)0x8124, (q15_t)0x10ef, (q15_t)0x8121,
+  (q15_t)0x10d6, (q15_t)0x811d, (q15_t)0x10bd, (q15_t)0x811a, (q15_t)0x10a4, (q15_t)0x8117, (q15_t)0x108b, (q15_t)0x8113,
+  (q15_t)0x1072, (q15_t)0x8110, (q15_t)0x1059, (q15_t)0x810d, (q15_t)0x1040, (q15_t)0x810a, (q15_t)0x1027, (q15_t)0x8107,
+  (q15_t)0x100e, (q15_t)0x8103, (q15_t)0xff5, (q15_t)0x8100, (q15_t)0xfdd, (q15_t)0x80fd, (q15_t)0xfc4, (q15_t)0x80fa,
+  (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xf92, (q15_t)0x80f4, (q15_t)0xf79, (q15_t)0x80f1, (q15_t)0xf60, (q15_t)0x80ee,
+  (q15_t)0xf47, (q15_t)0x80eb, (q15_t)0xf2e, (q15_t)0x80e8, (q15_t)0xf15, (q15_t)0x80e5, (q15_t)0xefc, (q15_t)0x80e2,
+  (q15_t)0xee3, (q15_t)0x80df, (q15_t)0xeca, (q15_t)0x80dc, (q15_t)0xeb1, (q15_t)0x80d9, (q15_t)0xe98, (q15_t)0x80d6,
+  (q15_t)0xe7f, (q15_t)0x80d3, (q15_t)0xe66, (q15_t)0x80d1, (q15_t)0xe4d, (q15_t)0x80ce, (q15_t)0xe34, (q15_t)0x80cb,
+  (q15_t)0xe1b, (q15_t)0x80c8, (q15_t)0xe02, (q15_t)0x80c5, (q15_t)0xde9, (q15_t)0x80c3, (q15_t)0xdd0, (q15_t)0x80c0,
+  (q15_t)0xdb7, (q15_t)0x80bd, (q15_t)0xd9e, (q15_t)0x80bb, (q15_t)0xd85, (q15_t)0x80b8, (q15_t)0xd6c, (q15_t)0x80b5,
+  (q15_t)0xd53, (q15_t)0x80b3, (q15_t)0xd3a, (q15_t)0x80b0, (q15_t)0xd21, (q15_t)0x80ad, (q15_t)0xd08, (q15_t)0x80ab,
+  (q15_t)0xcef, (q15_t)0x80a8, (q15_t)0xcd6, (q15_t)0x80a6, (q15_t)0xcbd, (q15_t)0x80a3, (q15_t)0xca4, (q15_t)0x80a1,
+  (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xc72, (q15_t)0x809c, (q15_t)0xc59, (q15_t)0x8099, (q15_t)0xc40, (q15_t)0x8097,
+  (q15_t)0xc27, (q15_t)0x8095, (q15_t)0xc0e, (q15_t)0x8092, (q15_t)0xbf5, (q15_t)0x8090, (q15_t)0xbdc, (q15_t)0x808e,
+  (q15_t)0xbc3, (q15_t)0x808b, (q15_t)0xbaa, (q15_t)0x8089, (q15_t)0xb91, (q15_t)0x8087, (q15_t)0xb78, (q15_t)0x8084,
+  (q15_t)0xb5f, (q15_t)0x8082, (q15_t)0xb46, (q15_t)0x8080, (q15_t)0xb2d, (q15_t)0x807e, (q15_t)0xb14, (q15_t)0x807b,
+  (q15_t)0xafb, (q15_t)0x8079, (q15_t)0xae2, (q15_t)0x8077, (q15_t)0xac9, (q15_t)0x8075, (q15_t)0xab0, (q15_t)0x8073,
+  (q15_t)0xa97, (q15_t)0x8071, (q15_t)0xa7e, (q15_t)0x806f, (q15_t)0xa65, (q15_t)0x806d, (q15_t)0xa4c, (q15_t)0x806b,
+  (q15_t)0xa33, (q15_t)0x8069, (q15_t)0xa19, (q15_t)0x8067, (q15_t)0xa00, (q15_t)0x8065, (q15_t)0x9e7, (q15_t)0x8063,
+  (q15_t)0x9ce, (q15_t)0x8061, (q15_t)0x9b5, (q15_t)0x805f, (q15_t)0x99c, (q15_t)0x805d, (q15_t)0x983, (q15_t)0x805b,
+  (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x951, (q15_t)0x8057, (q15_t)0x938, (q15_t)0x8056, (q15_t)0x91f, (q15_t)0x8054,
+  (q15_t)0x906, (q15_t)0x8052, (q15_t)0x8ed, (q15_t)0x8050, (q15_t)0x8d4, (q15_t)0x804f, (q15_t)0x8bb, (q15_t)0x804d,
+  (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x888, (q15_t)0x8049, (q15_t)0x86f, (q15_t)0x8048, (q15_t)0x856, (q15_t)0x8046,
+  (q15_t)0x83d, (q15_t)0x8044, (q15_t)0x824, (q15_t)0x8043, (q15_t)0x80b, (q15_t)0x8041, (q15_t)0x7f2, (q15_t)0x8040,
+  (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x7c0, (q15_t)0x803d, (q15_t)0x7a7, (q15_t)0x803b, (q15_t)0x78e, (q15_t)0x803a,
+  (q15_t)0x775, (q15_t)0x8038, (q15_t)0x75b, (q15_t)0x8037, (q15_t)0x742, (q15_t)0x8035, (q15_t)0x729, (q15_t)0x8034,
+  (q15_t)0x710, (q15_t)0x8032, (q15_t)0x6f7, (q15_t)0x8031, (q15_t)0x6de, (q15_t)0x8030, (q15_t)0x6c5, (q15_t)0x802e,
+  (q15_t)0x6ac, (q15_t)0x802d, (q15_t)0x693, (q15_t)0x802c, (q15_t)0x67a, (q15_t)0x802a, (q15_t)0x660, (q15_t)0x8029,
+  (q15_t)0x647, (q15_t)0x8028, (q15_t)0x62e, (q15_t)0x8027, (q15_t)0x615, (q15_t)0x8026, (q15_t)0x5fc, (q15_t)0x8024,
+  (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x5ca, (q15_t)0x8022, (q15_t)0x5b1, (q15_t)0x8021, (q15_t)0x598, (q15_t)0x8020,
+  (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x565, (q15_t)0x801e, (q15_t)0x54c, (q15_t)0x801d, (q15_t)0x533, (q15_t)0x801c,
+  (q15_t)0x51a, (q15_t)0x801b, (q15_t)0x501, (q15_t)0x801a, (q15_t)0x4e8, (q15_t)0x8019, (q15_t)0x4cf, (q15_t)0x8018,
+  (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x49c, (q15_t)0x8016, (q15_t)0x483, (q15_t)0x8015, (q15_t)0x46a, (q15_t)0x8014,
+  (q15_t)0x451, (q15_t)0x8013, (q15_t)0x438, (q15_t)0x8012, (q15_t)0x41f, (q15_t)0x8012, (q15_t)0x406, (q15_t)0x8011,
+  (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x3d4, (q15_t)0x800f, (q15_t)0x3ba, (q15_t)0x800e, (q15_t)0x3a1, (q15_t)0x800e,
+  (q15_t)0x388, (q15_t)0x800d, (q15_t)0x36f, (q15_t)0x800c, (q15_t)0x356, (q15_t)0x800c, (q15_t)0x33d, (q15_t)0x800b,
+  (q15_t)0x324, (q15_t)0x800a, (q15_t)0x30b, (q15_t)0x800a, (q15_t)0x2f1, (q15_t)0x8009, (q15_t)0x2d8, (q15_t)0x8009,
+  (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x2a6, (q15_t)0x8008, (q15_t)0x28d, (q15_t)0x8007, (q15_t)0x274, (q15_t)0x8007,
+  (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x242, (q15_t)0x8006, (q15_t)0x228, (q15_t)0x8005, (q15_t)0x20f, (q15_t)0x8005,
+  (q15_t)0x1f6, (q15_t)0x8004, (q15_t)0x1dd, (q15_t)0x8004, (q15_t)0x1c4, (q15_t)0x8004, (q15_t)0x1ab, (q15_t)0x8003,
+  (q15_t)0x192, (q15_t)0x8003, (q15_t)0x178, (q15_t)0x8003, (q15_t)0x15f, (q15_t)0x8002, (q15_t)0x146, (q15_t)0x8002,
+  (q15_t)0x12d, (q15_t)0x8002, (q15_t)0x114, (q15_t)0x8002, (q15_t)0xfb, (q15_t)0x8001, (q15_t)0xe2, (q15_t)0x8001,
+  (q15_t)0xc9, (q15_t)0x8001, (q15_t)0xaf, (q15_t)0x8001, (q15_t)0x96, (q15_t)0x8001, (q15_t)0x7d, (q15_t)0x8001,
+  (q15_t)0x64, (q15_t)0x8001, (q15_t)0x4b, (q15_t)0x8001, (q15_t)0x32, (q15_t)0x8001, (q15_t)0x19, (q15_t)0x8001
+};
+    const q15_t __ALIGNED(4) cos_factorsQ15_2048[2048] = {
+  (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+  (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffd, (q15_t)0x7ffd,
+  (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffa,
+  (q15_t)0x7ffa, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff6,
+  (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff4, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff2, (q15_t)0x7ff1, (q15_t)0x7ff0,
+  (q15_t)0x7ff0, (q15_t)0x7fef, (q15_t)0x7fee, (q15_t)0x7fed, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7feb, (q15_t)0x7fea,
+  (q15_t)0x7fe9, (q15_t)0x7fe8, (q15_t)0x7fe7, (q15_t)0x7fe6, (q15_t)0x7fe5, (q15_t)0x7fe4, (q15_t)0x7fe3, (q15_t)0x7fe2,
+  (q15_t)0x7fe1, (q15_t)0x7fe0, (q15_t)0x7fdf, (q15_t)0x7fdd, (q15_t)0x7fdc, (q15_t)0x7fdb, (q15_t)0x7fda, (q15_t)0x7fd9,
+  (q15_t)0x7fd7, (q15_t)0x7fd6, (q15_t)0x7fd5, (q15_t)0x7fd4, (q15_t)0x7fd2, (q15_t)0x7fd1, (q15_t)0x7fd0, (q15_t)0x7fce,
+  (q15_t)0x7fcd, (q15_t)0x7fcb, (q15_t)0x7fca, (q15_t)0x7fc9, (q15_t)0x7fc7, (q15_t)0x7fc6, (q15_t)0x7fc4, (q15_t)0x7fc3,
+  (q15_t)0x7fc1, (q15_t)0x7fc0, (q15_t)0x7fbe, (q15_t)0x7fbc, (q15_t)0x7fbb, (q15_t)0x7fb9, (q15_t)0x7fb7, (q15_t)0x7fb6,
+  (q15_t)0x7fb4, (q15_t)0x7fb2, (q15_t)0x7fb1, (q15_t)0x7faf, (q15_t)0x7fad, (q15_t)0x7fab, (q15_t)0x7fa9, (q15_t)0x7fa8,
+  (q15_t)0x7fa6, (q15_t)0x7fa4, (q15_t)0x7fa2, (q15_t)0x7fa0, (q15_t)0x7f9e, (q15_t)0x7f9c, (q15_t)0x7f9a, (q15_t)0x7f98,
+  (q15_t)0x7f96, (q15_t)0x7f94, (q15_t)0x7f92, (q15_t)0x7f90, (q15_t)0x7f8e, (q15_t)0x7f8c, (q15_t)0x7f8a, (q15_t)0x7f88,
+  (q15_t)0x7f86, (q15_t)0x7f83, (q15_t)0x7f81, (q15_t)0x7f7f, (q15_t)0x7f7d, (q15_t)0x7f7b, (q15_t)0x7f78, (q15_t)0x7f76,
+  (q15_t)0x7f74, (q15_t)0x7f71, (q15_t)0x7f6f, (q15_t)0x7f6d, (q15_t)0x7f6a, (q15_t)0x7f68, (q15_t)0x7f65, (q15_t)0x7f63,
+  (q15_t)0x7f60, (q15_t)0x7f5e, (q15_t)0x7f5b, (q15_t)0x7f59, (q15_t)0x7f56, (q15_t)0x7f54, (q15_t)0x7f51, (q15_t)0x7f4f,
+  (q15_t)0x7f4c, (q15_t)0x7f49, (q15_t)0x7f47, (q15_t)0x7f44, (q15_t)0x7f41, (q15_t)0x7f3f, (q15_t)0x7f3c, (q15_t)0x7f39,
+  (q15_t)0x7f36, (q15_t)0x7f34, (q15_t)0x7f31, (q15_t)0x7f2e, (q15_t)0x7f2b, (q15_t)0x7f28, (q15_t)0x7f25, (q15_t)0x7f23,
+  (q15_t)0x7f20, (q15_t)0x7f1d, (q15_t)0x7f1a, (q15_t)0x7f17, (q15_t)0x7f14, (q15_t)0x7f11, (q15_t)0x7f0e, (q15_t)0x7f0b,
+  (q15_t)0x7f08, (q15_t)0x7f04, (q15_t)0x7f01, (q15_t)0x7efe, (q15_t)0x7efb, (q15_t)0x7ef8, (q15_t)0x7ef5, (q15_t)0x7ef1,
+  (q15_t)0x7eee, (q15_t)0x7eeb, (q15_t)0x7ee8, (q15_t)0x7ee4, (q15_t)0x7ee1, (q15_t)0x7ede, (q15_t)0x7eda, (q15_t)0x7ed7,
+  (q15_t)0x7ed4, (q15_t)0x7ed0, (q15_t)0x7ecd, (q15_t)0x7ec9, (q15_t)0x7ec6, (q15_t)0x7ec3, (q15_t)0x7ebf, (q15_t)0x7ebb,
+  (q15_t)0x7eb8, (q15_t)0x7eb4, (q15_t)0x7eb1, (q15_t)0x7ead, (q15_t)0x7eaa, (q15_t)0x7ea6, (q15_t)0x7ea2, (q15_t)0x7e9f,
+  (q15_t)0x7e9b, (q15_t)0x7e97, (q15_t)0x7e94, (q15_t)0x7e90, (q15_t)0x7e8c, (q15_t)0x7e88, (q15_t)0x7e84, (q15_t)0x7e81,
+  (q15_t)0x7e7d, (q15_t)0x7e79, (q15_t)0x7e75, (q15_t)0x7e71, (q15_t)0x7e6d, (q15_t)0x7e69, (q15_t)0x7e65, (q15_t)0x7e61,
+  (q15_t)0x7e5d, (q15_t)0x7e59, (q15_t)0x7e55, (q15_t)0x7e51, (q15_t)0x7e4d, (q15_t)0x7e49, (q15_t)0x7e45, (q15_t)0x7e41,
+  (q15_t)0x7e3d, (q15_t)0x7e39, (q15_t)0x7e34, (q15_t)0x7e30, (q15_t)0x7e2c, (q15_t)0x7e28, (q15_t)0x7e24, (q15_t)0x7e1f,
+  (q15_t)0x7e1b, (q15_t)0x7e17, (q15_t)0x7e12, (q15_t)0x7e0e, (q15_t)0x7e0a, (q15_t)0x7e05, (q15_t)0x7e01, (q15_t)0x7dfc,
+  (q15_t)0x7df8, (q15_t)0x7df3, (q15_t)0x7def, (q15_t)0x7dea, (q15_t)0x7de6, (q15_t)0x7de1, (q15_t)0x7ddd, (q15_t)0x7dd8,
+  (q15_t)0x7dd4, (q15_t)0x7dcf, (q15_t)0x7dca, (q15_t)0x7dc6, (q15_t)0x7dc1, (q15_t)0x7dbc, (q15_t)0x7db8, (q15_t)0x7db3,
+  (q15_t)0x7dae, (q15_t)0x7da9, (q15_t)0x7da5, (q15_t)0x7da0, (q15_t)0x7d9b, (q15_t)0x7d96, (q15_t)0x7d91, (q15_t)0x7d8c,
+  (q15_t)0x7d87, (q15_t)0x7d82, (q15_t)0x7d7e, (q15_t)0x7d79, (q15_t)0x7d74, (q15_t)0x7d6f, (q15_t)0x7d6a, (q15_t)0x7d65,
+  (q15_t)0x7d60, (q15_t)0x7d5a, (q15_t)0x7d55, (q15_t)0x7d50, (q15_t)0x7d4b, (q15_t)0x7d46, (q15_t)0x7d41, (q15_t)0x7d3c,
+  (q15_t)0x7d36, (q15_t)0x7d31, (q15_t)0x7d2c, (q15_t)0x7d27, (q15_t)0x7d21, (q15_t)0x7d1c, (q15_t)0x7d17, (q15_t)0x7d11,
+  (q15_t)0x7d0c, (q15_t)0x7d07, (q15_t)0x7d01, (q15_t)0x7cfc, (q15_t)0x7cf6, (q15_t)0x7cf1, (q15_t)0x7cec, (q15_t)0x7ce6,
+  (q15_t)0x7ce1, (q15_t)0x7cdb, (q15_t)0x7cd5, (q15_t)0x7cd0, (q15_t)0x7cca, (q15_t)0x7cc5, (q15_t)0x7cbf, (q15_t)0x7cb9,
+  (q15_t)0x7cb4, (q15_t)0x7cae, (q15_t)0x7ca8, (q15_t)0x7ca3, (q15_t)0x7c9d, (q15_t)0x7c97, (q15_t)0x7c91, (q15_t)0x7c8c,
+  (q15_t)0x7c86, (q15_t)0x7c80, (q15_t)0x7c7a, (q15_t)0x7c74, (q15_t)0x7c6e, (q15_t)0x7c69, (q15_t)0x7c63, (q15_t)0x7c5d,
+  (q15_t)0x7c57, (q15_t)0x7c51, (q15_t)0x7c4b, (q15_t)0x7c45, (q15_t)0x7c3f, (q15_t)0x7c39, (q15_t)0x7c33, (q15_t)0x7c2d,
+  (q15_t)0x7c26, (q15_t)0x7c20, (q15_t)0x7c1a, (q15_t)0x7c14, (q15_t)0x7c0e, (q15_t)0x7c08, (q15_t)0x7c01, (q15_t)0x7bfb,
+  (q15_t)0x7bf5, (q15_t)0x7bef, (q15_t)0x7be8, (q15_t)0x7be2, (q15_t)0x7bdc, (q15_t)0x7bd5, (q15_t)0x7bcf, (q15_t)0x7bc9,
+  (q15_t)0x7bc2, (q15_t)0x7bbc, (q15_t)0x7bb5, (q15_t)0x7baf, (q15_t)0x7ba8, (q15_t)0x7ba2, (q15_t)0x7b9b, (q15_t)0x7b95,
+  (q15_t)0x7b8e, (q15_t)0x7b88, (q15_t)0x7b81, (q15_t)0x7b7a, (q15_t)0x7b74, (q15_t)0x7b6d, (q15_t)0x7b67, (q15_t)0x7b60,
+  (q15_t)0x7b59, (q15_t)0x7b52, (q15_t)0x7b4c, (q15_t)0x7b45, (q15_t)0x7b3e, (q15_t)0x7b37, (q15_t)0x7b31, (q15_t)0x7b2a,
+  (q15_t)0x7b23, (q15_t)0x7b1c, (q15_t)0x7b15, (q15_t)0x7b0e, (q15_t)0x7b07, (q15_t)0x7b00, (q15_t)0x7af9, (q15_t)0x7af2,
+  (q15_t)0x7aeb, (q15_t)0x7ae4, (q15_t)0x7add, (q15_t)0x7ad6, (q15_t)0x7acf, (q15_t)0x7ac8, (q15_t)0x7ac1, (q15_t)0x7aba,
+  (q15_t)0x7ab3, (q15_t)0x7aac, (q15_t)0x7aa4, (q15_t)0x7a9d, (q15_t)0x7a96, (q15_t)0x7a8f, (q15_t)0x7a87, (q15_t)0x7a80,
+  (q15_t)0x7a79, (q15_t)0x7a72, (q15_t)0x7a6a, (q15_t)0x7a63, (q15_t)0x7a5c, (q15_t)0x7a54, (q15_t)0x7a4d, (q15_t)0x7a45,
+  (q15_t)0x7a3e, (q15_t)0x7a36, (q15_t)0x7a2f, (q15_t)0x7a27, (q15_t)0x7a20, (q15_t)0x7a18, (q15_t)0x7a11, (q15_t)0x7a09,
+  (q15_t)0x7a02, (q15_t)0x79fa, (q15_t)0x79f2, (q15_t)0x79eb, (q15_t)0x79e3, (q15_t)0x79db, (q15_t)0x79d4, (q15_t)0x79cc,
+  (q15_t)0x79c4, (q15_t)0x79bc, (q15_t)0x79b5, (q15_t)0x79ad, (q15_t)0x79a5, (q15_t)0x799d, (q15_t)0x7995, (q15_t)0x798e,
+  (q15_t)0x7986, (q15_t)0x797e, (q15_t)0x7976, (q15_t)0x796e, (q15_t)0x7966, (q15_t)0x795e, (q15_t)0x7956, (q15_t)0x794e,
+  (q15_t)0x7946, (q15_t)0x793e, (q15_t)0x7936, (q15_t)0x792e, (q15_t)0x7926, (q15_t)0x791e, (q15_t)0x7915, (q15_t)0x790d,
+  (q15_t)0x7905, (q15_t)0x78fd, (q15_t)0x78f5, (q15_t)0x78ec, (q15_t)0x78e4, (q15_t)0x78dc, (q15_t)0x78d4, (q15_t)0x78cb,
+  (q15_t)0x78c3, (q15_t)0x78bb, (q15_t)0x78b2, (q15_t)0x78aa, (q15_t)0x78a2, (q15_t)0x7899, (q15_t)0x7891, (q15_t)0x7888,
+  (q15_t)0x7880, (q15_t)0x7877, (q15_t)0x786f, (q15_t)0x7866, (q15_t)0x785e, (q15_t)0x7855, (q15_t)0x784d, (q15_t)0x7844,
+  (q15_t)0x783b, (q15_t)0x7833, (q15_t)0x782a, (q15_t)0x7821, (q15_t)0x7819, (q15_t)0x7810, (q15_t)0x7807, (q15_t)0x77ff,
+  (q15_t)0x77f6, (q15_t)0x77ed, (q15_t)0x77e4, (q15_t)0x77db, (q15_t)0x77d3, (q15_t)0x77ca, (q15_t)0x77c1, (q15_t)0x77b8,
+  (q15_t)0x77af, (q15_t)0x77a6, (q15_t)0x779d, (q15_t)0x7794, (q15_t)0x778b, (q15_t)0x7782, (q15_t)0x7779, (q15_t)0x7770,
+  (q15_t)0x7767, (q15_t)0x775e, (q15_t)0x7755, (q15_t)0x774c, (q15_t)0x7743, (q15_t)0x773a, (q15_t)0x7731, (q15_t)0x7727,
+  (q15_t)0x771e, (q15_t)0x7715, (q15_t)0x770c, (q15_t)0x7703, (q15_t)0x76f9, (q15_t)0x76f0, (q15_t)0x76e7, (q15_t)0x76dd,
+  (q15_t)0x76d4, (q15_t)0x76cb, (q15_t)0x76c1, (q15_t)0x76b8, (q15_t)0x76af, (q15_t)0x76a5, (q15_t)0x769c, (q15_t)0x7692,
+  (q15_t)0x7689, (q15_t)0x767f, (q15_t)0x7676, (q15_t)0x766c, (q15_t)0x7663, (q15_t)0x7659, (q15_t)0x7650, (q15_t)0x7646,
+  (q15_t)0x763c, (q15_t)0x7633, (q15_t)0x7629, (q15_t)0x761f, (q15_t)0x7616, (q15_t)0x760c, (q15_t)0x7602, (q15_t)0x75f9,
+  (q15_t)0x75ef, (q15_t)0x75e5, (q15_t)0x75db, (q15_t)0x75d1, (q15_t)0x75c8, (q15_t)0x75be, (q15_t)0x75b4, (q15_t)0x75aa,
+  (q15_t)0x75a0, (q15_t)0x7596, (q15_t)0x758c, (q15_t)0x7582, (q15_t)0x7578, (q15_t)0x756e, (q15_t)0x7564, (q15_t)0x755a,
+  (q15_t)0x7550, (q15_t)0x7546, (q15_t)0x753c, (q15_t)0x7532, (q15_t)0x7528, (q15_t)0x751e, (q15_t)0x7514, (q15_t)0x7509,
+  (q15_t)0x74ff, (q15_t)0x74f5, (q15_t)0x74eb, (q15_t)0x74e1, (q15_t)0x74d6, (q15_t)0x74cc, (q15_t)0x74c2, (q15_t)0x74b7,
+  (q15_t)0x74ad, (q15_t)0x74a3, (q15_t)0x7498, (q15_t)0x748e, (q15_t)0x7484, (q15_t)0x7479, (q15_t)0x746f, (q15_t)0x7464,
+  (q15_t)0x745a, (q15_t)0x744f, (q15_t)0x7445, (q15_t)0x743a, (q15_t)0x7430, (q15_t)0x7425, (q15_t)0x741b, (q15_t)0x7410,
+  (q15_t)0x7406, (q15_t)0x73fb, (q15_t)0x73f0, (q15_t)0x73e6, (q15_t)0x73db, (q15_t)0x73d0, (q15_t)0x73c6, (q15_t)0x73bb,
+  (q15_t)0x73b0, (q15_t)0x73a5, (q15_t)0x739b, (q15_t)0x7390, (q15_t)0x7385, (q15_t)0x737a, (q15_t)0x736f, (q15_t)0x7364,
+  (q15_t)0x7359, (q15_t)0x734f, (q15_t)0x7344, (q15_t)0x7339, (q15_t)0x732e, (q15_t)0x7323, (q15_t)0x7318, (q15_t)0x730d,
+  (q15_t)0x7302, (q15_t)0x72f7, (q15_t)0x72ec, (q15_t)0x72e1, (q15_t)0x72d5, (q15_t)0x72ca, (q15_t)0x72bf, (q15_t)0x72b4,
+  (q15_t)0x72a9, (q15_t)0x729e, (q15_t)0x7293, (q15_t)0x7287, (q15_t)0x727c, (q15_t)0x7271, (q15_t)0x7266, (q15_t)0x725a,
+  (q15_t)0x724f, (q15_t)0x7244, (q15_t)0x7238, (q15_t)0x722d, (q15_t)0x7222, (q15_t)0x7216, (q15_t)0x720b, (q15_t)0x71ff,
+  (q15_t)0x71f4, (q15_t)0x71e9, (q15_t)0x71dd, (q15_t)0x71d2, (q15_t)0x71c6, (q15_t)0x71bb, (q15_t)0x71af, (q15_t)0x71a3,
+  (q15_t)0x7198, (q15_t)0x718c, (q15_t)0x7181, (q15_t)0x7175, (q15_t)0x7169, (q15_t)0x715e, (q15_t)0x7152, (q15_t)0x7146,
+  (q15_t)0x713b, (q15_t)0x712f, (q15_t)0x7123, (q15_t)0x7117, (q15_t)0x710c, (q15_t)0x7100, (q15_t)0x70f4, (q15_t)0x70e8,
+  (q15_t)0x70dc, (q15_t)0x70d1, (q15_t)0x70c5, (q15_t)0x70b9, (q15_t)0x70ad, (q15_t)0x70a1, (q15_t)0x7095, (q15_t)0x7089,
+  (q15_t)0x707d, (q15_t)0x7071, (q15_t)0x7065, (q15_t)0x7059, (q15_t)0x704d, (q15_t)0x7041, (q15_t)0x7035, (q15_t)0x7029,
+  (q15_t)0x701d, (q15_t)0x7010, (q15_t)0x7004, (q15_t)0x6ff8, (q15_t)0x6fec, (q15_t)0x6fe0, (q15_t)0x6fd3, (q15_t)0x6fc7,
+  (q15_t)0x6fbb, (q15_t)0x6faf, (q15_t)0x6fa2, (q15_t)0x6f96, (q15_t)0x6f8a, (q15_t)0x6f7d, (q15_t)0x6f71, (q15_t)0x6f65,
+  (q15_t)0x6f58, (q15_t)0x6f4c, (q15_t)0x6f3f, (q15_t)0x6f33, (q15_t)0x6f27, (q15_t)0x6f1a, (q15_t)0x6f0e, (q15_t)0x6f01,
+  (q15_t)0x6ef5, (q15_t)0x6ee8, (q15_t)0x6edc, (q15_t)0x6ecf, (q15_t)0x6ec2, (q15_t)0x6eb6, (q15_t)0x6ea9, (q15_t)0x6e9c,
+  (q15_t)0x6e90, (q15_t)0x6e83, (q15_t)0x6e76, (q15_t)0x6e6a, (q15_t)0x6e5d, (q15_t)0x6e50, (q15_t)0x6e44, (q15_t)0x6e37,
+  (q15_t)0x6e2a, (q15_t)0x6e1d, (q15_t)0x6e10, (q15_t)0x6e04, (q15_t)0x6df7, (q15_t)0x6dea, (q15_t)0x6ddd, (q15_t)0x6dd0,
+  (q15_t)0x6dc3, (q15_t)0x6db6, (q15_t)0x6da9, (q15_t)0x6d9c, (q15_t)0x6d8f, (q15_t)0x6d82, (q15_t)0x6d75, (q15_t)0x6d68,
+  (q15_t)0x6d5b, (q15_t)0x6d4e, (q15_t)0x6d41, (q15_t)0x6d34, (q15_t)0x6d27, (q15_t)0x6d1a, (q15_t)0x6d0c, (q15_t)0x6cff,
+  (q15_t)0x6cf2, (q15_t)0x6ce5, (q15_t)0x6cd8, (q15_t)0x6cca, (q15_t)0x6cbd, (q15_t)0x6cb0, (q15_t)0x6ca3, (q15_t)0x6c95,
+  (q15_t)0x6c88, (q15_t)0x6c7b, (q15_t)0x6c6d, (q15_t)0x6c60, (q15_t)0x6c53, (q15_t)0x6c45, (q15_t)0x6c38, (q15_t)0x6c2a,
+  (q15_t)0x6c1d, (q15_t)0x6c0f, (q15_t)0x6c02, (q15_t)0x6bf5, (q15_t)0x6be7, (q15_t)0x6bd9, (q15_t)0x6bcc, (q15_t)0x6bbe,
+  (q15_t)0x6bb1, (q15_t)0x6ba3, (q15_t)0x6b96, (q15_t)0x6b88, (q15_t)0x6b7a, (q15_t)0x6b6d, (q15_t)0x6b5f, (q15_t)0x6b51,
+  (q15_t)0x6b44, (q15_t)0x6b36, (q15_t)0x6b28, (q15_t)0x6b1a, (q15_t)0x6b0d, (q15_t)0x6aff, (q15_t)0x6af1, (q15_t)0x6ae3,
+  (q15_t)0x6ad5, (q15_t)0x6ac8, (q15_t)0x6aba, (q15_t)0x6aac, (q15_t)0x6a9e, (q15_t)0x6a90, (q15_t)0x6a82, (q15_t)0x6a74,
+  (q15_t)0x6a66, (q15_t)0x6a58, (q15_t)0x6a4a, (q15_t)0x6a3c, (q15_t)0x6a2e, (q15_t)0x6a20, (q15_t)0x6a12, (q15_t)0x6a04,
+  (q15_t)0x69f6, (q15_t)0x69e8, (q15_t)0x69da, (q15_t)0x69cb, (q15_t)0x69bd, (q15_t)0x69af, (q15_t)0x69a1, (q15_t)0x6993,
+  (q15_t)0x6985, (q15_t)0x6976, (q15_t)0x6968, (q15_t)0x695a, (q15_t)0x694b, (q15_t)0x693d, (q15_t)0x692f, (q15_t)0x6921,
+  (q15_t)0x6912, (q15_t)0x6904, (q15_t)0x68f5, (q15_t)0x68e7, (q15_t)0x68d9, (q15_t)0x68ca, (q15_t)0x68bc, (q15_t)0x68ad,
+  (q15_t)0x689f, (q15_t)0x6890, (q15_t)0x6882, (q15_t)0x6873, (q15_t)0x6865, (q15_t)0x6856, (q15_t)0x6848, (q15_t)0x6839,
+  (q15_t)0x682b, (q15_t)0x681c, (q15_t)0x680d, (q15_t)0x67ff, (q15_t)0x67f0, (q15_t)0x67e1, (q15_t)0x67d3, (q15_t)0x67c4,
+  (q15_t)0x67b5, (q15_t)0x67a6, (q15_t)0x6798, (q15_t)0x6789, (q15_t)0x677a, (q15_t)0x676b, (q15_t)0x675d, (q15_t)0x674e,
+  (q15_t)0x673f, (q15_t)0x6730, (q15_t)0x6721, (q15_t)0x6712, (q15_t)0x6703, (q15_t)0x66f4, (q15_t)0x66e5, (q15_t)0x66d6,
+  (q15_t)0x66c8, (q15_t)0x66b9, (q15_t)0x66aa, (q15_t)0x669b, (q15_t)0x668b, (q15_t)0x667c, (q15_t)0x666d, (q15_t)0x665e,
+  (q15_t)0x664f, (q15_t)0x6640, (q15_t)0x6631, (q15_t)0x6622, (q15_t)0x6613, (q15_t)0x6603, (q15_t)0x65f4, (q15_t)0x65e5,
+  (q15_t)0x65d6, (q15_t)0x65c7, (q15_t)0x65b7, (q15_t)0x65a8, (q15_t)0x6599, (q15_t)0x658a, (q15_t)0x657a, (q15_t)0x656b,
+  (q15_t)0x655c, (q15_t)0x654c, (q15_t)0x653d, (q15_t)0x652d, (q15_t)0x651e, (q15_t)0x650f, (q15_t)0x64ff, (q15_t)0x64f0,
+  (q15_t)0x64e0, (q15_t)0x64d1, (q15_t)0x64c1, (q15_t)0x64b2, (q15_t)0x64a2, (q15_t)0x6493, (q15_t)0x6483, (q15_t)0x6474,
+  (q15_t)0x6464, (q15_t)0x6454, (q15_t)0x6445, (q15_t)0x6435, (q15_t)0x6426, (q15_t)0x6416, (q15_t)0x6406, (q15_t)0x63f7,
+  (q15_t)0x63e7, (q15_t)0x63d7, (q15_t)0x63c7, (q15_t)0x63b8, (q15_t)0x63a8, (q15_t)0x6398, (q15_t)0x6388, (q15_t)0x6378,
+  (q15_t)0x6369, (q15_t)0x6359, (q15_t)0x6349, (q15_t)0x6339, (q15_t)0x6329, (q15_t)0x6319, (q15_t)0x6309, (q15_t)0x62f9,
+  (q15_t)0x62ea, (q15_t)0x62da, (q15_t)0x62ca, (q15_t)0x62ba, (q15_t)0x62aa, (q15_t)0x629a, (q15_t)0x628a, (q15_t)0x627a,
+  (q15_t)0x6269, (q15_t)0x6259, (q15_t)0x6249, (q15_t)0x6239, (q15_t)0x6229, (q15_t)0x6219, (q15_t)0x6209, (q15_t)0x61f9,
+  (q15_t)0x61e8, (q15_t)0x61d8, (q15_t)0x61c8, (q15_t)0x61b8, (q15_t)0x61a8, (q15_t)0x6197, (q15_t)0x6187, (q15_t)0x6177,
+  (q15_t)0x6166, (q15_t)0x6156, (q15_t)0x6146, (q15_t)0x6135, (q15_t)0x6125, (q15_t)0x6115, (q15_t)0x6104, (q15_t)0x60f4,
+  (q15_t)0x60e4, (q15_t)0x60d3, (q15_t)0x60c3, (q15_t)0x60b2, (q15_t)0x60a2, (q15_t)0x6091, (q15_t)0x6081, (q15_t)0x6070,
+  (q15_t)0x6060, (q15_t)0x604f, (q15_t)0x603f, (q15_t)0x602e, (q15_t)0x601d, (q15_t)0x600d, (q15_t)0x5ffc, (q15_t)0x5fec,
+  (q15_t)0x5fdb, (q15_t)0x5fca, (q15_t)0x5fba, (q15_t)0x5fa9, (q15_t)0x5f98, (q15_t)0x5f87, (q15_t)0x5f77, (q15_t)0x5f66,
+  (q15_t)0x5f55, (q15_t)0x5f44, (q15_t)0x5f34, (q15_t)0x5f23, (q15_t)0x5f12, (q15_t)0x5f01, (q15_t)0x5ef0, (q15_t)0x5edf,
+  (q15_t)0x5ecf, (q15_t)0x5ebe, (q15_t)0x5ead, (q15_t)0x5e9c, (q15_t)0x5e8b, (q15_t)0x5e7a, (q15_t)0x5e69, (q15_t)0x5e58,
+  (q15_t)0x5e47, (q15_t)0x5e36, (q15_t)0x5e25, (q15_t)0x5e14, (q15_t)0x5e03, (q15_t)0x5df2, (q15_t)0x5de1, (q15_t)0x5dd0,
+  (q15_t)0x5dbf, (q15_t)0x5dad, (q15_t)0x5d9c, (q15_t)0x5d8b, (q15_t)0x5d7a, (q15_t)0x5d69, (q15_t)0x5d58, (q15_t)0x5d46,
+  (q15_t)0x5d35, (q15_t)0x5d24, (q15_t)0x5d13, (q15_t)0x5d01, (q15_t)0x5cf0, (q15_t)0x5cdf, (q15_t)0x5cce, (q15_t)0x5cbc,
+  (q15_t)0x5cab, (q15_t)0x5c9a, (q15_t)0x5c88, (q15_t)0x5c77, (q15_t)0x5c66, (q15_t)0x5c54, (q15_t)0x5c43, (q15_t)0x5c31,
+  (q15_t)0x5c20, (q15_t)0x5c0e, (q15_t)0x5bfd, (q15_t)0x5beb, (q15_t)0x5bda, (q15_t)0x5bc8, (q15_t)0x5bb7, (q15_t)0x5ba5,
+  (q15_t)0x5b94, (q15_t)0x5b82, (q15_t)0x5b71, (q15_t)0x5b5f, (q15_t)0x5b4d, (q15_t)0x5b3c, (q15_t)0x5b2a, (q15_t)0x5b19,
+  (q15_t)0x5b07, (q15_t)0x5af5, (q15_t)0x5ae4, (q15_t)0x5ad2, (q15_t)0x5ac0, (q15_t)0x5aae, (q15_t)0x5a9d, (q15_t)0x5a8b,
+  (q15_t)0x5a79, (q15_t)0x5a67, (q15_t)0x5a56, (q15_t)0x5a44, (q15_t)0x5a32, (q15_t)0x5a20, (q15_t)0x5a0e, (q15_t)0x59fc,
+  (q15_t)0x59ea, (q15_t)0x59d9, (q15_t)0x59c7, (q15_t)0x59b5, (q15_t)0x59a3, (q15_t)0x5991, (q15_t)0x597f, (q15_t)0x596d,
+  (q15_t)0x595b, (q15_t)0x5949, (q15_t)0x5937, (q15_t)0x5925, (q15_t)0x5913, (q15_t)0x5901, (q15_t)0x58ef, (q15_t)0x58dd,
+  (q15_t)0x58cb, (q15_t)0x58b8, (q15_t)0x58a6, (q15_t)0x5894, (q15_t)0x5882, (q15_t)0x5870, (q15_t)0x585e, (q15_t)0x584b,
+  (q15_t)0x5839, (q15_t)0x5827, (q15_t)0x5815, (q15_t)0x5803, (q15_t)0x57f0, (q15_t)0x57de, (q15_t)0x57cc, (q15_t)0x57b9,
+  (q15_t)0x57a7, (q15_t)0x5795, (q15_t)0x5783, (q15_t)0x5770, (q15_t)0x575e, (q15_t)0x574b, (q15_t)0x5739, (q15_t)0x5727,
+  (q15_t)0x5714, (q15_t)0x5702, (q15_t)0x56ef, (q15_t)0x56dd, (q15_t)0x56ca, (q15_t)0x56b8, (q15_t)0x56a5, (q15_t)0x5693,
+  (q15_t)0x5680, (q15_t)0x566e, (q15_t)0x565b, (q15_t)0x5649, (q15_t)0x5636, (q15_t)0x5624, (q15_t)0x5611, (q15_t)0x55fe,
+  (q15_t)0x55ec, (q15_t)0x55d9, (q15_t)0x55c7, (q15_t)0x55b4, (q15_t)0x55a1, (q15_t)0x558f, (q15_t)0x557c, (q15_t)0x5569,
+  (q15_t)0x5556, (q15_t)0x5544, (q15_t)0x5531, (q15_t)0x551e, (q15_t)0x550b, (q15_t)0x54f9, (q15_t)0x54e6, (q15_t)0x54d3,
+  (q15_t)0x54c0, (q15_t)0x54ad, (q15_t)0x549a, (q15_t)0x5488, (q15_t)0x5475, (q15_t)0x5462, (q15_t)0x544f, (q15_t)0x543c,
+  (q15_t)0x5429, (q15_t)0x5416, (q15_t)0x5403, (q15_t)0x53f0, (q15_t)0x53dd, (q15_t)0x53ca, (q15_t)0x53b7, (q15_t)0x53a4,
+  (q15_t)0x5391, (q15_t)0x537e, (q15_t)0x536b, (q15_t)0x5358, (q15_t)0x5345, (q15_t)0x5332, (q15_t)0x531f, (q15_t)0x530c,
+  (q15_t)0x52f8, (q15_t)0x52e5, (q15_t)0x52d2, (q15_t)0x52bf, (q15_t)0x52ac, (q15_t)0x5299, (q15_t)0x5285, (q15_t)0x5272,
+  (q15_t)0x525f, (q15_t)0x524c, (q15_t)0x5238, (q15_t)0x5225, (q15_t)0x5212, (q15_t)0x51ff, (q15_t)0x51eb, (q15_t)0x51d8,
+  (q15_t)0x51c5, (q15_t)0x51b1, (q15_t)0x519e, (q15_t)0x518b, (q15_t)0x5177, (q15_t)0x5164, (q15_t)0x5150, (q15_t)0x513d,
+  (q15_t)0x512a, (q15_t)0x5116, (q15_t)0x5103, (q15_t)0x50ef, (q15_t)0x50dc, (q15_t)0x50c8, (q15_t)0x50b5, (q15_t)0x50a1,
+  (q15_t)0x508e, (q15_t)0x507a, (q15_t)0x5067, (q15_t)0x5053, (q15_t)0x503f, (q15_t)0x502c, (q15_t)0x5018, (q15_t)0x5005,
+  (q15_t)0x4ff1, (q15_t)0x4fdd, (q15_t)0x4fca, (q15_t)0x4fb6, (q15_t)0x4fa2, (q15_t)0x4f8f, (q15_t)0x4f7b, (q15_t)0x4f67,
+  (q15_t)0x4f54, (q15_t)0x4f40, (q15_t)0x4f2c, (q15_t)0x4f18, (q15_t)0x4f05, (q15_t)0x4ef1, (q15_t)0x4edd, (q15_t)0x4ec9,
+  (q15_t)0x4eb6, (q15_t)0x4ea2, (q15_t)0x4e8e, (q15_t)0x4e7a, (q15_t)0x4e66, (q15_t)0x4e52, (q15_t)0x4e3e, (q15_t)0x4e2a,
+  (q15_t)0x4e17, (q15_t)0x4e03, (q15_t)0x4def, (q15_t)0x4ddb, (q15_t)0x4dc7, (q15_t)0x4db3, (q15_t)0x4d9f, (q15_t)0x4d8b,
+  (q15_t)0x4d77, (q15_t)0x4d63, (q15_t)0x4d4f, (q15_t)0x4d3b, (q15_t)0x4d27, (q15_t)0x4d13, (q15_t)0x4cff, (q15_t)0x4ceb,
+  (q15_t)0x4cd6, (q15_t)0x4cc2, (q15_t)0x4cae, (q15_t)0x4c9a, (q15_t)0x4c86, (q15_t)0x4c72, (q15_t)0x4c5e, (q15_t)0x4c49,
+  (q15_t)0x4c35, (q15_t)0x4c21, (q15_t)0x4c0d, (q15_t)0x4bf9, (q15_t)0x4be4, (q15_t)0x4bd0, (q15_t)0x4bbc, (q15_t)0x4ba8,
+  (q15_t)0x4b93, (q15_t)0x4b7f, (q15_t)0x4b6b, (q15_t)0x4b56, (q15_t)0x4b42, (q15_t)0x4b2e, (q15_t)0x4b19, (q15_t)0x4b05,
+  (q15_t)0x4af1, (q15_t)0x4adc, (q15_t)0x4ac8, (q15_t)0x4ab4, (q15_t)0x4a9f, (q15_t)0x4a8b, (q15_t)0x4a76, (q15_t)0x4a62,
+  (q15_t)0x4a4d, (q15_t)0x4a39, (q15_t)0x4a24, (q15_t)0x4a10, (q15_t)0x49fb, (q15_t)0x49e7, (q15_t)0x49d2, (q15_t)0x49be,
+  (q15_t)0x49a9, (q15_t)0x4995, (q15_t)0x4980, (q15_t)0x496c, (q15_t)0x4957, (q15_t)0x4942, (q15_t)0x492e, (q15_t)0x4919,
+  (q15_t)0x4905, (q15_t)0x48f0, (q15_t)0x48db, (q15_t)0x48c7, (q15_t)0x48b2, (q15_t)0x489d, (q15_t)0x4888, (q15_t)0x4874,
+  (q15_t)0x485f, (q15_t)0x484a, (q15_t)0x4836, (q15_t)0x4821, (q15_t)0x480c, (q15_t)0x47f7, (q15_t)0x47e2, (q15_t)0x47ce,
+  (q15_t)0x47b9, (q15_t)0x47a4, (q15_t)0x478f, (q15_t)0x477a, (q15_t)0x4765, (q15_t)0x4751, (q15_t)0x473c, (q15_t)0x4727,
+  (q15_t)0x4712, (q15_t)0x46fd, (q15_t)0x46e8, (q15_t)0x46d3, (q15_t)0x46be, (q15_t)0x46a9, (q15_t)0x4694, (q15_t)0x467f,
+  (q15_t)0x466a, (q15_t)0x4655, (q15_t)0x4640, (q15_t)0x462b, (q15_t)0x4616, (q15_t)0x4601, (q15_t)0x45ec, (q15_t)0x45d7,
+  (q15_t)0x45c2, (q15_t)0x45ad, (q15_t)0x4598, (q15_t)0x4583, (q15_t)0x456e, (q15_t)0x4559, (q15_t)0x4544, (q15_t)0x452e,
+  (q15_t)0x4519, (q15_t)0x4504, (q15_t)0x44ef, (q15_t)0x44da, (q15_t)0x44c5, (q15_t)0x44af, (q15_t)0x449a, (q15_t)0x4485,
+  (q15_t)0x4470, (q15_t)0x445a, (q15_t)0x4445, (q15_t)0x4430, (q15_t)0x441b, (q15_t)0x4405, (q15_t)0x43f0, (q15_t)0x43db,
+  (q15_t)0x43c5, (q15_t)0x43b0, (q15_t)0x439b, (q15_t)0x4385, (q15_t)0x4370, (q15_t)0x435b, (q15_t)0x4345, (q15_t)0x4330,
+  (q15_t)0x431b, (q15_t)0x4305, (q15_t)0x42f0, (q15_t)0x42da, (q15_t)0x42c5, (q15_t)0x42af, (q15_t)0x429a, (q15_t)0x4284,
+  (q15_t)0x426f, (q15_t)0x425a, (q15_t)0x4244, (q15_t)0x422f, (q15_t)0x4219, (q15_t)0x4203, (q15_t)0x41ee, (q15_t)0x41d8,
+  (q15_t)0x41c3, (q15_t)0x41ad, (q15_t)0x4198, (q15_t)0x4182, (q15_t)0x416d, (q15_t)0x4157, (q15_t)0x4141, (q15_t)0x412c,
+  (q15_t)0x4116, (q15_t)0x4100, (q15_t)0x40eb, (q15_t)0x40d5, (q15_t)0x40bf, (q15_t)0x40aa, (q15_t)0x4094, (q15_t)0x407e,
+  (q15_t)0x4069, (q15_t)0x4053, (q15_t)0x403d, (q15_t)0x4027, (q15_t)0x4012, (q15_t)0x3ffc, (q15_t)0x3fe6, (q15_t)0x3fd0,
+  (q15_t)0x3fbb, (q15_t)0x3fa5, (q15_t)0x3f8f, (q15_t)0x3f79, (q15_t)0x3f63, (q15_t)0x3f4d, (q15_t)0x3f38, (q15_t)0x3f22,
+  (q15_t)0x3f0c, (q15_t)0x3ef6, (q15_t)0x3ee0, (q15_t)0x3eca, (q15_t)0x3eb4, (q15_t)0x3e9e, (q15_t)0x3e88, (q15_t)0x3e73,
+  (q15_t)0x3e5d, (q15_t)0x3e47, (q15_t)0x3e31, (q15_t)0x3e1b, (q15_t)0x3e05, (q15_t)0x3def, (q15_t)0x3dd9, (q15_t)0x3dc3,
+  (q15_t)0x3dad, (q15_t)0x3d97, (q15_t)0x3d81, (q15_t)0x3d6b, (q15_t)0x3d55, (q15_t)0x3d3e, (q15_t)0x3d28, (q15_t)0x3d12,
+  (q15_t)0x3cfc, (q15_t)0x3ce6, (q15_t)0x3cd0, (q15_t)0x3cba, (q15_t)0x3ca4, (q15_t)0x3c8e, (q15_t)0x3c77, (q15_t)0x3c61,
+  (q15_t)0x3c4b, (q15_t)0x3c35, (q15_t)0x3c1f, (q15_t)0x3c09, (q15_t)0x3bf2, (q15_t)0x3bdc, (q15_t)0x3bc6, (q15_t)0x3bb0,
+  (q15_t)0x3b99, (q15_t)0x3b83, (q15_t)0x3b6d, (q15_t)0x3b57, (q15_t)0x3b40, (q15_t)0x3b2a, (q15_t)0x3b14, (q15_t)0x3afe,
+  (q15_t)0x3ae7, (q15_t)0x3ad1, (q15_t)0x3abb, (q15_t)0x3aa4, (q15_t)0x3a8e, (q15_t)0x3a78, (q15_t)0x3a61, (q15_t)0x3a4b,
+  (q15_t)0x3a34, (q15_t)0x3a1e, (q15_t)0x3a08, (q15_t)0x39f1, (q15_t)0x39db, (q15_t)0x39c4, (q15_t)0x39ae, (q15_t)0x3998,
+  (q15_t)0x3981, (q15_t)0x396b, (q15_t)0x3954, (q15_t)0x393e, (q15_t)0x3927, (q15_t)0x3911, (q15_t)0x38fa, (q15_t)0x38e4,
+  (q15_t)0x38cd, (q15_t)0x38b7, (q15_t)0x38a0, (q15_t)0x388a, (q15_t)0x3873, (q15_t)0x385d, (q15_t)0x3846, (q15_t)0x382f,
+  (q15_t)0x3819, (q15_t)0x3802, (q15_t)0x37ec, (q15_t)0x37d5, (q15_t)0x37be, (q15_t)0x37a8, (q15_t)0x3791, (q15_t)0x377a,
+  (q15_t)0x3764, (q15_t)0x374d, (q15_t)0x3736, (q15_t)0x3720, (q15_t)0x3709, (q15_t)0x36f2, (q15_t)0x36dc, (q15_t)0x36c5,
+  (q15_t)0x36ae, (q15_t)0x3698, (q15_t)0x3681, (q15_t)0x366a, (q15_t)0x3653, (q15_t)0x363d, (q15_t)0x3626, (q15_t)0x360f,
+  (q15_t)0x35f8, (q15_t)0x35e1, (q15_t)0x35cb, (q15_t)0x35b4, (q15_t)0x359d, (q15_t)0x3586, (q15_t)0x356f, (q15_t)0x3558,
+  (q15_t)0x3542, (q15_t)0x352b, (q15_t)0x3514, (q15_t)0x34fd, (q15_t)0x34e6, (q15_t)0x34cf, (q15_t)0x34b8, (q15_t)0x34a1,
+  (q15_t)0x348b, (q15_t)0x3474, (q15_t)0x345d, (q15_t)0x3446, (q15_t)0x342f, (q15_t)0x3418, (q15_t)0x3401, (q15_t)0x33ea,
+  (q15_t)0x33d3, (q15_t)0x33bc, (q15_t)0x33a5, (q15_t)0x338e, (q15_t)0x3377, (q15_t)0x3360, (q15_t)0x3349, (q15_t)0x3332,
+  (q15_t)0x331b, (q15_t)0x3304, (q15_t)0x32ed, (q15_t)0x32d6, (q15_t)0x32bf, (q15_t)0x32a8, (q15_t)0x3290, (q15_t)0x3279,
+  (q15_t)0x3262, (q15_t)0x324b, (q15_t)0x3234, (q15_t)0x321d, (q15_t)0x3206, (q15_t)0x31ef, (q15_t)0x31d8, (q15_t)0x31c0,
+  (q15_t)0x31a9, (q15_t)0x3192, (q15_t)0x317b, (q15_t)0x3164, (q15_t)0x314c, (q15_t)0x3135, (q15_t)0x311e, (q15_t)0x3107,
+  (q15_t)0x30f0, (q15_t)0x30d8, (q15_t)0x30c1, (q15_t)0x30aa, (q15_t)0x3093, (q15_t)0x307b, (q15_t)0x3064, (q15_t)0x304d,
+  (q15_t)0x3036, (q15_t)0x301e, (q15_t)0x3007, (q15_t)0x2ff0, (q15_t)0x2fd8, (q15_t)0x2fc1, (q15_t)0x2faa, (q15_t)0x2f92,
+  (q15_t)0x2f7b, (q15_t)0x2f64, (q15_t)0x2f4c, (q15_t)0x2f35, (q15_t)0x2f1e, (q15_t)0x2f06, (q15_t)0x2eef, (q15_t)0x2ed8,
+  (q15_t)0x2ec0, (q15_t)0x2ea9, (q15_t)0x2e91, (q15_t)0x2e7a, (q15_t)0x2e63, (q15_t)0x2e4b, (q15_t)0x2e34, (q15_t)0x2e1c,
+  (q15_t)0x2e05, (q15_t)0x2ded, (q15_t)0x2dd6, (q15_t)0x2dbe, (q15_t)0x2da7, (q15_t)0x2d8f, (q15_t)0x2d78, (q15_t)0x2d60,
+  (q15_t)0x2d49, (q15_t)0x2d31, (q15_t)0x2d1a, (q15_t)0x2d02, (q15_t)0x2ceb, (q15_t)0x2cd3, (q15_t)0x2cbc, (q15_t)0x2ca4,
+  (q15_t)0x2c8d, (q15_t)0x2c75, (q15_t)0x2c5e, (q15_t)0x2c46, (q15_t)0x2c2e, (q15_t)0x2c17, (q15_t)0x2bff, (q15_t)0x2be8,
+  (q15_t)0x2bd0, (q15_t)0x2bb8, (q15_t)0x2ba1, (q15_t)0x2b89, (q15_t)0x2b71, (q15_t)0x2b5a, (q15_t)0x2b42, (q15_t)0x2b2b,
+  (q15_t)0x2b13, (q15_t)0x2afb, (q15_t)0x2ae4, (q15_t)0x2acc, (q15_t)0x2ab4, (q15_t)0x2a9c, (q15_t)0x2a85, (q15_t)0x2a6d,
+  (q15_t)0x2a55, (q15_t)0x2a3e, (q15_t)0x2a26, (q15_t)0x2a0e, (q15_t)0x29f6, (q15_t)0x29df, (q15_t)0x29c7, (q15_t)0x29af,
+  (q15_t)0x2997, (q15_t)0x2980, (q15_t)0x2968, (q15_t)0x2950, (q15_t)0x2938, (q15_t)0x2920, (q15_t)0x2909, (q15_t)0x28f1,
+  (q15_t)0x28d9, (q15_t)0x28c1, (q15_t)0x28a9, (q15_t)0x2892, (q15_t)0x287a, (q15_t)0x2862, (q15_t)0x284a, (q15_t)0x2832,
+  (q15_t)0x281a, (q15_t)0x2802, (q15_t)0x27eb, (q15_t)0x27d3, (q15_t)0x27bb, (q15_t)0x27a3, (q15_t)0x278b, (q15_t)0x2773,
+  (q15_t)0x275b, (q15_t)0x2743, (q15_t)0x272b, (q15_t)0x2713, (q15_t)0x26fb, (q15_t)0x26e4, (q15_t)0x26cc, (q15_t)0x26b4,
+  (q15_t)0x269c, (q15_t)0x2684, (q15_t)0x266c, (q15_t)0x2654, (q15_t)0x263c, (q15_t)0x2624, (q15_t)0x260c, (q15_t)0x25f4,
+  (q15_t)0x25dc, (q15_t)0x25c4, (q15_t)0x25ac, (q15_t)0x2594, (q15_t)0x257c, (q15_t)0x2564, (q15_t)0x254c, (q15_t)0x2534,
+  (q15_t)0x251c, (q15_t)0x2503, (q15_t)0x24eb, (q15_t)0x24d3, (q15_t)0x24bb, (q15_t)0x24a3, (q15_t)0x248b, (q15_t)0x2473,
+  (q15_t)0x245b, (q15_t)0x2443, (q15_t)0x242b, (q15_t)0x2413, (q15_t)0x23fa, (q15_t)0x23e2, (q15_t)0x23ca, (q15_t)0x23b2,
+  (q15_t)0x239a, (q15_t)0x2382, (q15_t)0x236a, (q15_t)0x2352, (q15_t)0x2339, (q15_t)0x2321, (q15_t)0x2309, (q15_t)0x22f1,
+  (q15_t)0x22d9, (q15_t)0x22c0, (q15_t)0x22a8, (q15_t)0x2290, (q15_t)0x2278, (q15_t)0x2260, (q15_t)0x2247, (q15_t)0x222f,
+  (q15_t)0x2217, (q15_t)0x21ff, (q15_t)0x21e7, (q15_t)0x21ce, (q15_t)0x21b6, (q15_t)0x219e, (q15_t)0x2186, (q15_t)0x216d,
+  (q15_t)0x2155, (q15_t)0x213d, (q15_t)0x2125, (q15_t)0x210c, (q15_t)0x20f4, (q15_t)0x20dc, (q15_t)0x20c3, (q15_t)0x20ab,
+  (q15_t)0x2093, (q15_t)0x207a, (q15_t)0x2062, (q15_t)0x204a, (q15_t)0x2032, (q15_t)0x2019, (q15_t)0x2001, (q15_t)0x1fe9,
+  (q15_t)0x1fd0, (q15_t)0x1fb8, (q15_t)0x1f9f, (q15_t)0x1f87, (q15_t)0x1f6f, (q15_t)0x1f56, (q15_t)0x1f3e, (q15_t)0x1f26,
+  (q15_t)0x1f0d, (q15_t)0x1ef5, (q15_t)0x1edd, (q15_t)0x1ec4, (q15_t)0x1eac, (q15_t)0x1e93, (q15_t)0x1e7b, (q15_t)0x1e62,
+  (q15_t)0x1e4a, (q15_t)0x1e32, (q15_t)0x1e19, (q15_t)0x1e01, (q15_t)0x1de8, (q15_t)0x1dd0, (q15_t)0x1db7, (q15_t)0x1d9f,
+  (q15_t)0x1d87, (q15_t)0x1d6e, (q15_t)0x1d56, (q15_t)0x1d3d, (q15_t)0x1d25, (q15_t)0x1d0c, (q15_t)0x1cf4, (q15_t)0x1cdb,
+  (q15_t)0x1cc3, (q15_t)0x1caa, (q15_t)0x1c92, (q15_t)0x1c79, (q15_t)0x1c61, (q15_t)0x1c48, (q15_t)0x1c30, (q15_t)0x1c17,
+  (q15_t)0x1bff, (q15_t)0x1be6, (q15_t)0x1bce, (q15_t)0x1bb5, (q15_t)0x1b9d, (q15_t)0x1b84, (q15_t)0x1b6c, (q15_t)0x1b53,
+  (q15_t)0x1b3a, (q15_t)0x1b22, (q15_t)0x1b09, (q15_t)0x1af1, (q15_t)0x1ad8, (q15_t)0x1ac0, (q15_t)0x1aa7, (q15_t)0x1a8e,
+  (q15_t)0x1a76, (q15_t)0x1a5d, (q15_t)0x1a45, (q15_t)0x1a2c, (q15_t)0x1a13, (q15_t)0x19fb, (q15_t)0x19e2, (q15_t)0x19ca,
+  (q15_t)0x19b1, (q15_t)0x1998, (q15_t)0x1980, (q15_t)0x1967, (q15_t)0x194e, (q15_t)0x1936, (q15_t)0x191d, (q15_t)0x1905,
+  (q15_t)0x18ec, (q15_t)0x18d3, (q15_t)0x18bb, (q15_t)0x18a2, (q15_t)0x1889, (q15_t)0x1871, (q15_t)0x1858, (q15_t)0x183f,
+  (q15_t)0x1827, (q15_t)0x180e, (q15_t)0x17f5, (q15_t)0x17dd, (q15_t)0x17c4, (q15_t)0x17ab, (q15_t)0x1792, (q15_t)0x177a,
+  (q15_t)0x1761, (q15_t)0x1748, (q15_t)0x1730, (q15_t)0x1717, (q15_t)0x16fe, (q15_t)0x16e5, (q15_t)0x16cd, (q15_t)0x16b4,
+  (q15_t)0x169b, (q15_t)0x1682, (q15_t)0x166a, (q15_t)0x1651, (q15_t)0x1638, (q15_t)0x161f, (q15_t)0x1607, (q15_t)0x15ee,
+  (q15_t)0x15d5, (q15_t)0x15bc, (q15_t)0x15a4, (q15_t)0x158b, (q15_t)0x1572, (q15_t)0x1559, (q15_t)0x1541, (q15_t)0x1528,
+  (q15_t)0x150f, (q15_t)0x14f6, (q15_t)0x14dd, (q15_t)0x14c5, (q15_t)0x14ac, (q15_t)0x1493, (q15_t)0x147a, (q15_t)0x1461,
+  (q15_t)0x1449, (q15_t)0x1430, (q15_t)0x1417, (q15_t)0x13fe, (q15_t)0x13e5, (q15_t)0x13cc, (q15_t)0x13b4, (q15_t)0x139b,
+  (q15_t)0x1382, (q15_t)0x1369, (q15_t)0x1350, (q15_t)0x1337, (q15_t)0x131f, (q15_t)0x1306, (q15_t)0x12ed, (q15_t)0x12d4,
+  (q15_t)0x12bb, (q15_t)0x12a2, (q15_t)0x1289, (q15_t)0x1271, (q15_t)0x1258, (q15_t)0x123f, (q15_t)0x1226, (q15_t)0x120d,
+  (q15_t)0x11f4, (q15_t)0x11db, (q15_t)0x11c2, (q15_t)0x11a9, (q15_t)0x1191, (q15_t)0x1178, (q15_t)0x115f, (q15_t)0x1146,
+  (q15_t)0x112d, (q15_t)0x1114, (q15_t)0x10fb, (q15_t)0x10e2, (q15_t)0x10c9, (q15_t)0x10b0, (q15_t)0x1098, (q15_t)0x107f,
+  (q15_t)0x1066, (q15_t)0x104d, (q15_t)0x1034, (q15_t)0x101b, (q15_t)0x1002, (q15_t)0xfe9, (q15_t)0xfd0, (q15_t)0xfb7,
+  (q15_t)0xf9e, (q15_t)0xf85, (q15_t)0xf6c, (q15_t)0xf53, (q15_t)0xf3a, (q15_t)0xf21, (q15_t)0xf08, (q15_t)0xef0,
+  (q15_t)0xed7, (q15_t)0xebe, (q15_t)0xea5, (q15_t)0xe8c, (q15_t)0xe73, (q15_t)0xe5a, (q15_t)0xe41, (q15_t)0xe28,
+  (q15_t)0xe0f, (q15_t)0xdf6, (q15_t)0xddd, (q15_t)0xdc4, (q15_t)0xdab, (q15_t)0xd92, (q15_t)0xd79, (q15_t)0xd60,
+  (q15_t)0xd47, (q15_t)0xd2e, (q15_t)0xd15, (q15_t)0xcfc, (q15_t)0xce3, (q15_t)0xcca, (q15_t)0xcb1, (q15_t)0xc98,
+  (q15_t)0xc7f, (q15_t)0xc66, (q15_t)0xc4d, (q15_t)0xc34, (q15_t)0xc1b, (q15_t)0xc02, (q15_t)0xbe9, (q15_t)0xbd0,
+  (q15_t)0xbb7, (q15_t)0xb9e, (q15_t)0xb85, (q15_t)0xb6c, (q15_t)0xb53, (q15_t)0xb3a, (q15_t)0xb20, (q15_t)0xb07,
+  (q15_t)0xaee, (q15_t)0xad5, (q15_t)0xabc, (q15_t)0xaa3, (q15_t)0xa8a, (q15_t)0xa71, (q15_t)0xa58, (q15_t)0xa3f,
+  (q15_t)0xa26, (q15_t)0xa0d, (q15_t)0x9f4, (q15_t)0x9db, (q15_t)0x9c2, (q15_t)0x9a9, (q15_t)0x990, (q15_t)0x977,
+  (q15_t)0x95e, (q15_t)0x944, (q15_t)0x92b, (q15_t)0x912, (q15_t)0x8f9, (q15_t)0x8e0, (q15_t)0x8c7, (q15_t)0x8ae,
+  (q15_t)0x895, (q15_t)0x87c, (q15_t)0x863, (q15_t)0x84a, (q15_t)0x831, (q15_t)0x818, (q15_t)0x7fe, (q15_t)0x7e5,
+  (q15_t)0x7cc, (q15_t)0x7b3, (q15_t)0x79a, (q15_t)0x781, (q15_t)0x768, (q15_t)0x74f, (q15_t)0x736, (q15_t)0x71d,
+  (q15_t)0x704, (q15_t)0x6ea, (q15_t)0x6d1, (q15_t)0x6b8, (q15_t)0x69f, (q15_t)0x686, (q15_t)0x66d, (q15_t)0x654,
+  (q15_t)0x63b, (q15_t)0x622, (q15_t)0x609, (q15_t)0x5ef, (q15_t)0x5d6, (q15_t)0x5bd, (q15_t)0x5a4, (q15_t)0x58b,
+  (q15_t)0x572, (q15_t)0x559, (q15_t)0x540, (q15_t)0x527, (q15_t)0x50d, (q15_t)0x4f4, (q15_t)0x4db, (q15_t)0x4c2,
+  (q15_t)0x4a9, (q15_t)0x490, (q15_t)0x477, (q15_t)0x45e, (q15_t)0x445, (q15_t)0x42b, (q15_t)0x412, (q15_t)0x3f9,
+  (q15_t)0x3e0, (q15_t)0x3c7, (q15_t)0x3ae, (q15_t)0x395, (q15_t)0x37c, (q15_t)0x362, (q15_t)0x349, (q15_t)0x330,
+  (q15_t)0x317, (q15_t)0x2fe, (q15_t)0x2e5, (q15_t)0x2cc, (q15_t)0x2b3, (q15_t)0x299, (q15_t)0x280, (q15_t)0x267,
+  (q15_t)0x24e, (q15_t)0x235, (q15_t)0x21c, (q15_t)0x203, (q15_t)0x1ea, (q15_t)0x1d0, (q15_t)0x1b7, (q15_t)0x19e,
+  (q15_t)0x185, (q15_t)0x16c, (q15_t)0x153, (q15_t)0x13a, (q15_t)0x121, (q15_t)0x107, (q15_t)0xee, (q15_t)0xd5,
+  (q15_t)0xbc, (q15_t)0xa3, (q15_t)0x8a, (q15_t)0x71, (q15_t)0x57, (q15_t)0x3e, (q15_t)0x25, (q15_t)0xc
+
+};
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192)
+    const q15_t __ALIGNED(4) WeightsQ15_8192[16384] = {
+  (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xfffa, (q15_t)0x7fff, (q15_t)0xfff4, (q15_t)0x7fff, (q15_t)0xffee,
+  (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffe1, (q15_t)0x7fff, (q15_t)0xffdb, (q15_t)0x7fff, (q15_t)0xffd5,
+  (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffc8, (q15_t)0x7fff, (q15_t)0xffc2, (q15_t)0x7fff, (q15_t)0xffbb,
+  (q15_t)0x7fff, (q15_t)0xffb5, (q15_t)0x7fff, (q15_t)0xffaf, (q15_t)0x7fff, (q15_t)0xffa9, (q15_t)0x7fff, (q15_t)0xffa2,
+  (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff96, (q15_t)0x7fff, (q15_t)0xff8f, (q15_t)0x7fff, (q15_t)0xff89,
+  (q15_t)0x7fff, (q15_t)0xff83, (q15_t)0x7fff, (q15_t)0xff7d, (q15_t)0x7fff, (q15_t)0xff76, (q15_t)0x7fff, (q15_t)0xff70,
+  (q15_t)0x7fff, (q15_t)0xff6a, (q15_t)0x7fff, (q15_t)0xff63, (q15_t)0x7fff, (q15_t)0xff5d, (q15_t)0x7fff, (q15_t)0xff57,
+  (q15_t)0x7fff, (q15_t)0xff51, (q15_t)0x7fff, (q15_t)0xff4a, (q15_t)0x7fff, (q15_t)0xff44, (q15_t)0x7fff, (q15_t)0xff3e,
+  (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff31, (q15_t)0x7fff, (q15_t)0xff2b, (q15_t)0x7fff, (q15_t)0xff25,
+  (q15_t)0x7fff, (q15_t)0xff1e, (q15_t)0x7fff, (q15_t)0xff18, (q15_t)0x7fff, (q15_t)0xff12, (q15_t)0x7fff, (q15_t)0xff0b,
+  (q15_t)0x7fff, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfeff, (q15_t)0x7ffe, (q15_t)0xfef9, (q15_t)0x7ffe, (q15_t)0xfef2,
+  (q15_t)0x7ffe, (q15_t)0xfeec, (q15_t)0x7ffe, (q15_t)0xfee6, (q15_t)0x7ffe, (q15_t)0xfedf, (q15_t)0x7ffe, (q15_t)0xfed9,
+  (q15_t)0x7ffe, (q15_t)0xfed3, (q15_t)0x7ffe, (q15_t)0xfecd, (q15_t)0x7ffe, (q15_t)0xfec6, (q15_t)0x7ffe, (q15_t)0xfec0,
+  (q15_t)0x7ffe, (q15_t)0xfeba, (q15_t)0x7ffe, (q15_t)0xfeb3, (q15_t)0x7ffe, (q15_t)0xfead, (q15_t)0x7ffe, (q15_t)0xfea7,
+  (q15_t)0x7ffe, (q15_t)0xfea1, (q15_t)0x7ffe, (q15_t)0xfe9a, (q15_t)0x7ffd, (q15_t)0xfe94, (q15_t)0x7ffd, (q15_t)0xfe8e,
+  (q15_t)0x7ffd, (q15_t)0xfe88, (q15_t)0x7ffd, (q15_t)0xfe81, (q15_t)0x7ffd, (q15_t)0xfe7b, (q15_t)0x7ffd, (q15_t)0xfe75,
+  (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffd, (q15_t)0xfe68, (q15_t)0x7ffd, (q15_t)0xfe62, (q15_t)0x7ffd, (q15_t)0xfe5c,
+  (q15_t)0x7ffd, (q15_t)0xfe55, (q15_t)0x7ffd, (q15_t)0xfe4f, (q15_t)0x7ffd, (q15_t)0xfe49, (q15_t)0x7ffc, (q15_t)0xfe42,
+  (q15_t)0x7ffc, (q15_t)0xfe3c, (q15_t)0x7ffc, (q15_t)0xfe36, (q15_t)0x7ffc, (q15_t)0xfe30, (q15_t)0x7ffc, (q15_t)0xfe29,
+  (q15_t)0x7ffc, (q15_t)0xfe23, (q15_t)0x7ffc, (q15_t)0xfe1d, (q15_t)0x7ffc, (q15_t)0xfe16, (q15_t)0x7ffc, (q15_t)0xfe10,
+  (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffc, (q15_t)0xfe04, (q15_t)0x7ffb, (q15_t)0xfdfd, (q15_t)0x7ffb, (q15_t)0xfdf7,
+  (q15_t)0x7ffb, (q15_t)0xfdf1, (q15_t)0x7ffb, (q15_t)0xfdea, (q15_t)0x7ffb, (q15_t)0xfde4, (q15_t)0x7ffb, (q15_t)0xfdde,
+  (q15_t)0x7ffb, (q15_t)0xfdd8, (q15_t)0x7ffb, (q15_t)0xfdd1, (q15_t)0x7ffb, (q15_t)0xfdcb, (q15_t)0x7ffb, (q15_t)0xfdc5,
+  (q15_t)0x7ffa, (q15_t)0xfdbe, (q15_t)0x7ffa, (q15_t)0xfdb8, (q15_t)0x7ffa, (q15_t)0xfdb2, (q15_t)0x7ffa, (q15_t)0xfdac,
+  (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ffa, (q15_t)0xfd9f, (q15_t)0x7ffa, (q15_t)0xfd99, (q15_t)0x7ffa, (q15_t)0xfd93,
+  (q15_t)0x7ff9, (q15_t)0xfd8c, (q15_t)0x7ff9, (q15_t)0xfd86, (q15_t)0x7ff9, (q15_t)0xfd80, (q15_t)0x7ff9, (q15_t)0xfd79,
+  (q15_t)0x7ff9, (q15_t)0xfd73, (q15_t)0x7ff9, (q15_t)0xfd6d, (q15_t)0x7ff9, (q15_t)0xfd67, (q15_t)0x7ff9, (q15_t)0xfd60,
+  (q15_t)0x7ff8, (q15_t)0xfd5a, (q15_t)0x7ff8, (q15_t)0xfd54, (q15_t)0x7ff8, (q15_t)0xfd4d, (q15_t)0x7ff8, (q15_t)0xfd47,
+  (q15_t)0x7ff8, (q15_t)0xfd41, (q15_t)0x7ff8, (q15_t)0xfd3b, (q15_t)0x7ff8, (q15_t)0xfd34, (q15_t)0x7ff8, (q15_t)0xfd2e,
+  (q15_t)0x7ff7, (q15_t)0xfd28, (q15_t)0x7ff7, (q15_t)0xfd21, (q15_t)0x7ff7, (q15_t)0xfd1b, (q15_t)0x7ff7, (q15_t)0xfd15,
+  (q15_t)0x7ff7, (q15_t)0xfd0f, (q15_t)0x7ff7, (q15_t)0xfd08, (q15_t)0x7ff7, (q15_t)0xfd02, (q15_t)0x7ff6, (q15_t)0xfcfc,
+  (q15_t)0x7ff6, (q15_t)0xfcf5, (q15_t)0x7ff6, (q15_t)0xfcef, (q15_t)0x7ff6, (q15_t)0xfce9, (q15_t)0x7ff6, (q15_t)0xfce3,
+  (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff5, (q15_t)0xfcd6, (q15_t)0x7ff5, (q15_t)0xfcd0, (q15_t)0x7ff5, (q15_t)0xfcc9,
+  (q15_t)0x7ff5, (q15_t)0xfcc3, (q15_t)0x7ff5, (q15_t)0xfcbd, (q15_t)0x7ff5, (q15_t)0xfcb7, (q15_t)0x7ff5, (q15_t)0xfcb0,
+  (q15_t)0x7ff4, (q15_t)0xfcaa, (q15_t)0x7ff4, (q15_t)0xfca4, (q15_t)0x7ff4, (q15_t)0xfc9e, (q15_t)0x7ff4, (q15_t)0xfc97,
+  (q15_t)0x7ff4, (q15_t)0xfc91, (q15_t)0x7ff4, (q15_t)0xfc8b, (q15_t)0x7ff3, (q15_t)0xfc84, (q15_t)0x7ff3, (q15_t)0xfc7e,
+  (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff3, (q15_t)0xfc72, (q15_t)0x7ff3, (q15_t)0xfc6b, (q15_t)0x7ff2, (q15_t)0xfc65,
+  (q15_t)0x7ff2, (q15_t)0xfc5f, (q15_t)0x7ff2, (q15_t)0xfc58, (q15_t)0x7ff2, (q15_t)0xfc52, (q15_t)0x7ff2, (q15_t)0xfc4c,
+  (q15_t)0x7ff2, (q15_t)0xfc46, (q15_t)0x7ff1, (q15_t)0xfc3f, (q15_t)0x7ff1, (q15_t)0xfc39, (q15_t)0x7ff1, (q15_t)0xfc33,
+  (q15_t)0x7ff1, (q15_t)0xfc2c, (q15_t)0x7ff1, (q15_t)0xfc26, (q15_t)0x7ff0, (q15_t)0xfc20, (q15_t)0x7ff0, (q15_t)0xfc1a,
+  (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7ff0, (q15_t)0xfc0d, (q15_t)0x7ff0, (q15_t)0xfc07, (q15_t)0x7fef, (q15_t)0xfc01,
+  (q15_t)0x7fef, (q15_t)0xfbfa, (q15_t)0x7fef, (q15_t)0xfbf4, (q15_t)0x7fef, (q15_t)0xfbee, (q15_t)0x7fef, (q15_t)0xfbe7,
+  (q15_t)0x7fee, (q15_t)0xfbe1, (q15_t)0x7fee, (q15_t)0xfbdb, (q15_t)0x7fee, (q15_t)0xfbd5, (q15_t)0x7fee, (q15_t)0xfbce,
+  (q15_t)0x7fee, (q15_t)0xfbc8, (q15_t)0x7fed, (q15_t)0xfbc2, (q15_t)0x7fed, (q15_t)0xfbbb, (q15_t)0x7fed, (q15_t)0xfbb5,
+  (q15_t)0x7fed, (q15_t)0xfbaf, (q15_t)0x7fed, (q15_t)0xfba9, (q15_t)0x7fec, (q15_t)0xfba2, (q15_t)0x7fec, (q15_t)0xfb9c,
+  (q15_t)0x7fec, (q15_t)0xfb96, (q15_t)0x7fec, (q15_t)0xfb8f, (q15_t)0x7fec, (q15_t)0xfb89, (q15_t)0x7feb, (q15_t)0xfb83,
+  (q15_t)0x7feb, (q15_t)0xfb7d, (q15_t)0x7feb, (q15_t)0xfb76, (q15_t)0x7feb, (q15_t)0xfb70, (q15_t)0x7fea, (q15_t)0xfb6a,
+  (q15_t)0x7fea, (q15_t)0xfb64, (q15_t)0x7fea, (q15_t)0xfb5d, (q15_t)0x7fea, (q15_t)0xfb57, (q15_t)0x7fea, (q15_t)0xfb51,
+  (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe9, (q15_t)0xfb44, (q15_t)0x7fe9, (q15_t)0xfb3e, (q15_t)0x7fe9, (q15_t)0xfb38,
+  (q15_t)0x7fe8, (q15_t)0xfb31, (q15_t)0x7fe8, (q15_t)0xfb2b, (q15_t)0x7fe8, (q15_t)0xfb25, (q15_t)0x7fe8, (q15_t)0xfb1e,
+  (q15_t)0x7fe7, (q15_t)0xfb18, (q15_t)0x7fe7, (q15_t)0xfb12, (q15_t)0x7fe7, (q15_t)0xfb0c, (q15_t)0x7fe7, (q15_t)0xfb05,
+  (q15_t)0x7fe6, (q15_t)0xfaff, (q15_t)0x7fe6, (q15_t)0xfaf9, (q15_t)0x7fe6, (q15_t)0xfaf3, (q15_t)0x7fe6, (q15_t)0xfaec,
+  (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe5, (q15_t)0xfae0, (q15_t)0x7fe5, (q15_t)0xfad9, (q15_t)0x7fe5, (q15_t)0xfad3,
+  (q15_t)0x7fe4, (q15_t)0xfacd, (q15_t)0x7fe4, (q15_t)0xfac7, (q15_t)0x7fe4, (q15_t)0xfac0, (q15_t)0x7fe4, (q15_t)0xfaba,
+  (q15_t)0x7fe3, (q15_t)0xfab4, (q15_t)0x7fe3, (q15_t)0xfaad, (q15_t)0x7fe3, (q15_t)0xfaa7, (q15_t)0x7fe3, (q15_t)0xfaa1,
+  (q15_t)0x7fe2, (q15_t)0xfa9b, (q15_t)0x7fe2, (q15_t)0xfa94, (q15_t)0x7fe2, (q15_t)0xfa8e, (q15_t)0x7fe2, (q15_t)0xfa88,
+  (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fe1, (q15_t)0xfa7b, (q15_t)0x7fe1, (q15_t)0xfa75, (q15_t)0x7fe0, (q15_t)0xfa6f,
+  (q15_t)0x7fe0, (q15_t)0xfa68, (q15_t)0x7fe0, (q15_t)0xfa62, (q15_t)0x7fe0, (q15_t)0xfa5c, (q15_t)0x7fdf, (q15_t)0xfa56,
+  (q15_t)0x7fdf, (q15_t)0xfa4f, (q15_t)0x7fdf, (q15_t)0xfa49, (q15_t)0x7fdf, (q15_t)0xfa43, (q15_t)0x7fde, (q15_t)0xfa3c,
+  (q15_t)0x7fde, (q15_t)0xfa36, (q15_t)0x7fde, (q15_t)0xfa30, (q15_t)0x7fdd, (q15_t)0xfa2a, (q15_t)0x7fdd, (q15_t)0xfa23,
+  (q15_t)0x7fdd, (q15_t)0xfa1d, (q15_t)0x7fdd, (q15_t)0xfa17, (q15_t)0x7fdc, (q15_t)0xfa11, (q15_t)0x7fdc, (q15_t)0xfa0a,
+  (q15_t)0x7fdc, (q15_t)0xfa04, (q15_t)0x7fdb, (q15_t)0xf9fe, (q15_t)0x7fdb, (q15_t)0xf9f7, (q15_t)0x7fdb, (q15_t)0xf9f1,
+  (q15_t)0x7fda, (q15_t)0xf9eb, (q15_t)0x7fda, (q15_t)0xf9e5, (q15_t)0x7fda, (q15_t)0xf9de, (q15_t)0x7fda, (q15_t)0xf9d8,
+  (q15_t)0x7fd9, (q15_t)0xf9d2, (q15_t)0x7fd9, (q15_t)0xf9cb, (q15_t)0x7fd9, (q15_t)0xf9c5, (q15_t)0x7fd8, (q15_t)0xf9bf,
+  (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd8, (q15_t)0xf9b2, (q15_t)0x7fd7, (q15_t)0xf9ac, (q15_t)0x7fd7, (q15_t)0xf9a6,
+  (q15_t)0x7fd7, (q15_t)0xf9a0, (q15_t)0x7fd6, (q15_t)0xf999, (q15_t)0x7fd6, (q15_t)0xf993, (q15_t)0x7fd6, (q15_t)0xf98d,
+  (q15_t)0x7fd6, (q15_t)0xf986, (q15_t)0x7fd5, (q15_t)0xf980, (q15_t)0x7fd5, (q15_t)0xf97a, (q15_t)0x7fd5, (q15_t)0xf974,
+  (q15_t)0x7fd4, (q15_t)0xf96d, (q15_t)0x7fd4, (q15_t)0xf967, (q15_t)0x7fd4, (q15_t)0xf961, (q15_t)0x7fd3, (q15_t)0xf95b,
+  (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fd3, (q15_t)0xf94e, (q15_t)0x7fd2, (q15_t)0xf948, (q15_t)0x7fd2, (q15_t)0xf941,
+  (q15_t)0x7fd2, (q15_t)0xf93b, (q15_t)0x7fd1, (q15_t)0xf935, (q15_t)0x7fd1, (q15_t)0xf92f, (q15_t)0x7fd1, (q15_t)0xf928,
+  (q15_t)0x7fd0, (q15_t)0xf922, (q15_t)0x7fd0, (q15_t)0xf91c, (q15_t)0x7fd0, (q15_t)0xf916, (q15_t)0x7fcf, (q15_t)0xf90f,
+  (q15_t)0x7fcf, (q15_t)0xf909, (q15_t)0x7fcf, (q15_t)0xf903, (q15_t)0x7fce, (q15_t)0xf8fc, (q15_t)0x7fce, (q15_t)0xf8f6,
+  (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fcd, (q15_t)0xf8ea, (q15_t)0x7fcd, (q15_t)0xf8e3, (q15_t)0x7fcd, (q15_t)0xf8dd,
+  (q15_t)0x7fcc, (q15_t)0xf8d7, (q15_t)0x7fcc, (q15_t)0xf8d0, (q15_t)0x7fcb, (q15_t)0xf8ca, (q15_t)0x7fcb, (q15_t)0xf8c4,
+  (q15_t)0x7fcb, (q15_t)0xf8be, (q15_t)0x7fca, (q15_t)0xf8b7, (q15_t)0x7fca, (q15_t)0xf8b1, (q15_t)0x7fca, (q15_t)0xf8ab,
+  (q15_t)0x7fc9, (q15_t)0xf8a5, (q15_t)0x7fc9, (q15_t)0xf89e, (q15_t)0x7fc9, (q15_t)0xf898, (q15_t)0x7fc8, (q15_t)0xf892,
+  (q15_t)0x7fc8, (q15_t)0xf88b, (q15_t)0x7fc7, (q15_t)0xf885, (q15_t)0x7fc7, (q15_t)0xf87f, (q15_t)0x7fc7, (q15_t)0xf879,
+  (q15_t)0x7fc6, (q15_t)0xf872, (q15_t)0x7fc6, (q15_t)0xf86c, (q15_t)0x7fc6, (q15_t)0xf866, (q15_t)0x7fc5, (q15_t)0xf860,
+  (q15_t)0x7fc5, (q15_t)0xf859, (q15_t)0x7fc5, (q15_t)0xf853, (q15_t)0x7fc4, (q15_t)0xf84d, (q15_t)0x7fc4, (q15_t)0xf846,
+  (q15_t)0x7fc3, (q15_t)0xf840, (q15_t)0x7fc3, (q15_t)0xf83a, (q15_t)0x7fc3, (q15_t)0xf834, (q15_t)0x7fc2, (q15_t)0xf82d,
+  (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fc1, (q15_t)0xf821, (q15_t)0x7fc1, (q15_t)0xf81b, (q15_t)0x7fc1, (q15_t)0xf814,
+  (q15_t)0x7fc0, (q15_t)0xf80e, (q15_t)0x7fc0, (q15_t)0xf808, (q15_t)0x7fc0, (q15_t)0xf802, (q15_t)0x7fbf, (q15_t)0xf7fb,
+  (q15_t)0x7fbf, (q15_t)0xf7f5, (q15_t)0x7fbe, (q15_t)0xf7ef, (q15_t)0x7fbe, (q15_t)0xf7e8, (q15_t)0x7fbe, (q15_t)0xf7e2,
+  (q15_t)0x7fbd, (q15_t)0xf7dc, (q15_t)0x7fbd, (q15_t)0xf7d6, (q15_t)0x7fbc, (q15_t)0xf7cf, (q15_t)0x7fbc, (q15_t)0xf7c9,
+  (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fbb, (q15_t)0xf7bd, (q15_t)0x7fbb, (q15_t)0xf7b6, (q15_t)0x7fba, (q15_t)0xf7b0,
+  (q15_t)0x7fba, (q15_t)0xf7aa, (q15_t)0x7fb9, (q15_t)0xf7a3, (q15_t)0x7fb9, (q15_t)0xf79d, (q15_t)0x7fb9, (q15_t)0xf797,
+  (q15_t)0x7fb8, (q15_t)0xf791, (q15_t)0x7fb8, (q15_t)0xf78a, (q15_t)0x7fb7, (q15_t)0xf784, (q15_t)0x7fb7, (q15_t)0xf77e,
+  (q15_t)0x7fb7, (q15_t)0xf778, (q15_t)0x7fb6, (q15_t)0xf771, (q15_t)0x7fb6, (q15_t)0xf76b, (q15_t)0x7fb5, (q15_t)0xf765,
+  (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fb4, (q15_t)0xf758, (q15_t)0x7fb4, (q15_t)0xf752, (q15_t)0x7fb4, (q15_t)0xf74c,
+  (q15_t)0x7fb3, (q15_t)0xf745, (q15_t)0x7fb3, (q15_t)0xf73f, (q15_t)0x7fb2, (q15_t)0xf739, (q15_t)0x7fb2, (q15_t)0xf733,
+  (q15_t)0x7fb1, (q15_t)0xf72c, (q15_t)0x7fb1, (q15_t)0xf726, (q15_t)0x7fb1, (q15_t)0xf720, (q15_t)0x7fb0, (q15_t)0xf71a,
+  (q15_t)0x7fb0, (q15_t)0xf713, (q15_t)0x7faf, (q15_t)0xf70d, (q15_t)0x7faf, (q15_t)0xf707, (q15_t)0x7fae, (q15_t)0xf700,
+  (q15_t)0x7fae, (q15_t)0xf6fa, (q15_t)0x7fae, (q15_t)0xf6f4, (q15_t)0x7fad, (q15_t)0xf6ee, (q15_t)0x7fad, (q15_t)0xf6e7,
+  (q15_t)0x7fac, (q15_t)0xf6e1, (q15_t)0x7fac, (q15_t)0xf6db, (q15_t)0x7fab, (q15_t)0xf6d5, (q15_t)0x7fab, (q15_t)0xf6ce,
+  (q15_t)0x7faa, (q15_t)0xf6c8, (q15_t)0x7faa, (q15_t)0xf6c2, (q15_t)0x7fa9, (q15_t)0xf6bc, (q15_t)0x7fa9, (q15_t)0xf6b5,
+  (q15_t)0x7fa9, (q15_t)0xf6af, (q15_t)0x7fa8, (q15_t)0xf6a9, (q15_t)0x7fa8, (q15_t)0xf6a2, (q15_t)0x7fa7, (q15_t)0xf69c,
+  (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7fa6, (q15_t)0xf690, (q15_t)0x7fa6, (q15_t)0xf689, (q15_t)0x7fa5, (q15_t)0xf683,
+  (q15_t)0x7fa5, (q15_t)0xf67d, (q15_t)0x7fa4, (q15_t)0xf677, (q15_t)0x7fa4, (q15_t)0xf670, (q15_t)0x7fa3, (q15_t)0xf66a,
+  (q15_t)0x7fa3, (q15_t)0xf664, (q15_t)0x7fa3, (q15_t)0xf65e, (q15_t)0x7fa2, (q15_t)0xf657, (q15_t)0x7fa2, (q15_t)0xf651,
+  (q15_t)0x7fa1, (q15_t)0xf64b, (q15_t)0x7fa1, (q15_t)0xf644, (q15_t)0x7fa0, (q15_t)0xf63e, (q15_t)0x7fa0, (q15_t)0xf638,
+  (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f9f, (q15_t)0xf62b, (q15_t)0x7f9e, (q15_t)0xf625, (q15_t)0x7f9e, (q15_t)0xf61f,
+  (q15_t)0x7f9d, (q15_t)0xf619, (q15_t)0x7f9d, (q15_t)0xf612, (q15_t)0x7f9c, (q15_t)0xf60c, (q15_t)0x7f9c, (q15_t)0xf606,
+  (q15_t)0x7f9b, (q15_t)0xf600, (q15_t)0x7f9b, (q15_t)0xf5f9, (q15_t)0x7f9a, (q15_t)0xf5f3, (q15_t)0x7f9a, (q15_t)0xf5ed,
+  (q15_t)0x7f99, (q15_t)0xf5e7, (q15_t)0x7f99, (q15_t)0xf5e0, (q15_t)0x7f98, (q15_t)0xf5da, (q15_t)0x7f98, (q15_t)0xf5d4,
+  (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f97, (q15_t)0xf5c7, (q15_t)0x7f96, (q15_t)0xf5c1, (q15_t)0x7f96, (q15_t)0xf5bb,
+  (q15_t)0x7f95, (q15_t)0xf5b4, (q15_t)0x7f95, (q15_t)0xf5ae, (q15_t)0x7f94, (q15_t)0xf5a8, (q15_t)0x7f94, (q15_t)0xf5a2,
+  (q15_t)0x7f93, (q15_t)0xf59b, (q15_t)0x7f93, (q15_t)0xf595, (q15_t)0x7f92, (q15_t)0xf58f, (q15_t)0x7f92, (q15_t)0xf589,
+  (q15_t)0x7f91, (q15_t)0xf582, (q15_t)0x7f91, (q15_t)0xf57c, (q15_t)0x7f90, (q15_t)0xf576, (q15_t)0x7f90, (q15_t)0xf570,
+  (q15_t)0x7f8f, (q15_t)0xf569, (q15_t)0x7f8f, (q15_t)0xf563, (q15_t)0x7f8e, (q15_t)0xf55d, (q15_t)0x7f8e, (q15_t)0xf556,
+  (q15_t)0x7f8d, (q15_t)0xf550, (q15_t)0x7f8d, (q15_t)0xf54a, (q15_t)0x7f8c, (q15_t)0xf544, (q15_t)0x7f8b, (q15_t)0xf53d,
+  (q15_t)0x7f8b, (q15_t)0xf537, (q15_t)0x7f8a, (q15_t)0xf531, (q15_t)0x7f8a, (q15_t)0xf52b, (q15_t)0x7f89, (q15_t)0xf524,
+  (q15_t)0x7f89, (q15_t)0xf51e, (q15_t)0x7f88, (q15_t)0xf518, (q15_t)0x7f88, (q15_t)0xf512, (q15_t)0x7f87, (q15_t)0xf50b,
+  (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f86, (q15_t)0xf4ff, (q15_t)0x7f86, (q15_t)0xf4f9, (q15_t)0x7f85, (q15_t)0xf4f2,
+  (q15_t)0x7f85, (q15_t)0xf4ec, (q15_t)0x7f84, (q15_t)0xf4e6, (q15_t)0x7f83, (q15_t)0xf4e0, (q15_t)0x7f83, (q15_t)0xf4d9,
+  (q15_t)0x7f82, (q15_t)0xf4d3, (q15_t)0x7f82, (q15_t)0xf4cd, (q15_t)0x7f81, (q15_t)0xf4c6, (q15_t)0x7f81, (q15_t)0xf4c0,
+  (q15_t)0x7f80, (q15_t)0xf4ba, (q15_t)0x7f80, (q15_t)0xf4b4, (q15_t)0x7f7f, (q15_t)0xf4ad, (q15_t)0x7f7e, (q15_t)0xf4a7,
+  (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f7d, (q15_t)0xf49b, (q15_t)0x7f7d, (q15_t)0xf494, (q15_t)0x7f7c, (q15_t)0xf48e,
+  (q15_t)0x7f7c, (q15_t)0xf488, (q15_t)0x7f7b, (q15_t)0xf482, (q15_t)0x7f7b, (q15_t)0xf47b, (q15_t)0x7f7a, (q15_t)0xf475,
+  (q15_t)0x7f79, (q15_t)0xf46f, (q15_t)0x7f79, (q15_t)0xf469, (q15_t)0x7f78, (q15_t)0xf462, (q15_t)0x7f78, (q15_t)0xf45c,
+  (q15_t)0x7f77, (q15_t)0xf456, (q15_t)0x7f77, (q15_t)0xf450, (q15_t)0x7f76, (q15_t)0xf449, (q15_t)0x7f75, (q15_t)0xf443,
+  (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f74, (q15_t)0xf437, (q15_t)0x7f74, (q15_t)0xf430, (q15_t)0x7f73, (q15_t)0xf42a,
+  (q15_t)0x7f72, (q15_t)0xf424, (q15_t)0x7f72, (q15_t)0xf41e, (q15_t)0x7f71, (q15_t)0xf417, (q15_t)0x7f71, (q15_t)0xf411,
+  (q15_t)0x7f70, (q15_t)0xf40b, (q15_t)0x7f70, (q15_t)0xf405, (q15_t)0x7f6f, (q15_t)0xf3fe, (q15_t)0x7f6e, (q15_t)0xf3f8,
+  (q15_t)0x7f6e, (q15_t)0xf3f2, (q15_t)0x7f6d, (q15_t)0xf3ec, (q15_t)0x7f6d, (q15_t)0xf3e5, (q15_t)0x7f6c, (q15_t)0xf3df,
+  (q15_t)0x7f6b, (q15_t)0xf3d9, (q15_t)0x7f6b, (q15_t)0xf3d2, (q15_t)0x7f6a, (q15_t)0xf3cc, (q15_t)0x7f6a, (q15_t)0xf3c6,
+  (q15_t)0x7f69, (q15_t)0xf3c0, (q15_t)0x7f68, (q15_t)0xf3b9, (q15_t)0x7f68, (q15_t)0xf3b3, (q15_t)0x7f67, (q15_t)0xf3ad,
+  (q15_t)0x7f67, (q15_t)0xf3a7, (q15_t)0x7f66, (q15_t)0xf3a0, (q15_t)0x7f65, (q15_t)0xf39a, (q15_t)0x7f65, (q15_t)0xf394,
+  (q15_t)0x7f64, (q15_t)0xf38e, (q15_t)0x7f64, (q15_t)0xf387, (q15_t)0x7f63, (q15_t)0xf381, (q15_t)0x7f62, (q15_t)0xf37b,
+  (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f61, (q15_t)0xf36e, (q15_t)0x7f60, (q15_t)0xf368, (q15_t)0x7f60, (q15_t)0xf362,
+  (q15_t)0x7f5f, (q15_t)0xf35c, (q15_t)0x7f5f, (q15_t)0xf355, (q15_t)0x7f5e, (q15_t)0xf34f, (q15_t)0x7f5d, (q15_t)0xf349,
+  (q15_t)0x7f5d, (q15_t)0xf343, (q15_t)0x7f5c, (q15_t)0xf33c, (q15_t)0x7f5b, (q15_t)0xf336, (q15_t)0x7f5b, (q15_t)0xf330,
+  (q15_t)0x7f5a, (q15_t)0xf32a, (q15_t)0x7f5a, (q15_t)0xf323, (q15_t)0x7f59, (q15_t)0xf31d, (q15_t)0x7f58, (q15_t)0xf317,
+  (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f57, (q15_t)0xf30a, (q15_t)0x7f56, (q15_t)0xf304, (q15_t)0x7f56, (q15_t)0xf2fe,
+  (q15_t)0x7f55, (q15_t)0xf2f8, (q15_t)0x7f55, (q15_t)0xf2f1, (q15_t)0x7f54, (q15_t)0xf2eb, (q15_t)0x7f53, (q15_t)0xf2e5,
+  (q15_t)0x7f53, (q15_t)0xf2df, (q15_t)0x7f52, (q15_t)0xf2d8, (q15_t)0x7f51, (q15_t)0xf2d2, (q15_t)0x7f51, (q15_t)0xf2cc,
+  (q15_t)0x7f50, (q15_t)0xf2c6, (q15_t)0x7f4f, (q15_t)0xf2bf, (q15_t)0x7f4f, (q15_t)0xf2b9, (q15_t)0x7f4e, (q15_t)0xf2b3,
+  (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f4d, (q15_t)0xf2a6, (q15_t)0x7f4c, (q15_t)0xf2a0, (q15_t)0x7f4b, (q15_t)0xf29a,
+  (q15_t)0x7f4b, (q15_t)0xf294, (q15_t)0x7f4a, (q15_t)0xf28d, (q15_t)0x7f49, (q15_t)0xf287, (q15_t)0x7f49, (q15_t)0xf281,
+  (q15_t)0x7f48, (q15_t)0xf27b, (q15_t)0x7f47, (q15_t)0xf274, (q15_t)0x7f47, (q15_t)0xf26e, (q15_t)0x7f46, (q15_t)0xf268,
+  (q15_t)0x7f45, (q15_t)0xf262, (q15_t)0x7f45, (q15_t)0xf25b, (q15_t)0x7f44, (q15_t)0xf255, (q15_t)0x7f43, (q15_t)0xf24f,
+  (q15_t)0x7f43, (q15_t)0xf249, (q15_t)0x7f42, (q15_t)0xf242, (q15_t)0x7f41, (q15_t)0xf23c, (q15_t)0x7f41, (q15_t)0xf236,
+  (q15_t)0x7f40, (q15_t)0xf230, (q15_t)0x7f3f, (q15_t)0xf229, (q15_t)0x7f3f, (q15_t)0xf223, (q15_t)0x7f3e, (q15_t)0xf21d,
+  (q15_t)0x7f3d, (q15_t)0xf217, (q15_t)0x7f3d, (q15_t)0xf210, (q15_t)0x7f3c, (q15_t)0xf20a, (q15_t)0x7f3b, (q15_t)0xf204,
+  (q15_t)0x7f3b, (q15_t)0xf1fe, (q15_t)0x7f3a, (q15_t)0xf1f7, (q15_t)0x7f39, (q15_t)0xf1f1, (q15_t)0x7f39, (q15_t)0xf1eb,
+  (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f37, (q15_t)0xf1de, (q15_t)0x7f36, (q15_t)0xf1d8, (q15_t)0x7f36, (q15_t)0xf1d2,
+  (q15_t)0x7f35, (q15_t)0xf1cc, (q15_t)0x7f34, (q15_t)0xf1c6, (q15_t)0x7f34, (q15_t)0xf1bf, (q15_t)0x7f33, (q15_t)0xf1b9,
+  (q15_t)0x7f32, (q15_t)0xf1b3, (q15_t)0x7f32, (q15_t)0xf1ad, (q15_t)0x7f31, (q15_t)0xf1a6, (q15_t)0x7f30, (q15_t)0xf1a0,
+  (q15_t)0x7f2f, (q15_t)0xf19a, (q15_t)0x7f2f, (q15_t)0xf194, (q15_t)0x7f2e, (q15_t)0xf18d, (q15_t)0x7f2d, (q15_t)0xf187,
+  (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f2c, (q15_t)0xf17b, (q15_t)0x7f2b, (q15_t)0xf174, (q15_t)0x7f2a, (q15_t)0xf16e,
+  (q15_t)0x7f2a, (q15_t)0xf168, (q15_t)0x7f29, (q15_t)0xf162, (q15_t)0x7f28, (q15_t)0xf15b, (q15_t)0x7f28, (q15_t)0xf155,
+  (q15_t)0x7f27, (q15_t)0xf14f, (q15_t)0x7f26, (q15_t)0xf149, (q15_t)0x7f25, (q15_t)0xf142, (q15_t)0x7f25, (q15_t)0xf13c,
+  (q15_t)0x7f24, (q15_t)0xf136, (q15_t)0x7f23, (q15_t)0xf130, (q15_t)0x7f23, (q15_t)0xf129, (q15_t)0x7f22, (q15_t)0xf123,
+  (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f20, (q15_t)0xf117, (q15_t)0x7f20, (q15_t)0xf110, (q15_t)0x7f1f, (q15_t)0xf10a,
+  (q15_t)0x7f1e, (q15_t)0xf104, (q15_t)0x7f1d, (q15_t)0xf0fe, (q15_t)0x7f1d, (q15_t)0xf0f8, (q15_t)0x7f1c, (q15_t)0xf0f1,
+  (q15_t)0x7f1b, (q15_t)0xf0eb, (q15_t)0x7f1a, (q15_t)0xf0e5, (q15_t)0x7f1a, (q15_t)0xf0df, (q15_t)0x7f19, (q15_t)0xf0d8,
+  (q15_t)0x7f18, (q15_t)0xf0d2, (q15_t)0x7f17, (q15_t)0xf0cc, (q15_t)0x7f17, (q15_t)0xf0c6, (q15_t)0x7f16, (q15_t)0xf0bf,
+  (q15_t)0x7f15, (q15_t)0xf0b9, (q15_t)0x7f14, (q15_t)0xf0b3, (q15_t)0x7f14, (q15_t)0xf0ad, (q15_t)0x7f13, (q15_t)0xf0a6,
+  (q15_t)0x7f12, (q15_t)0xf0a0, (q15_t)0x7f11, (q15_t)0xf09a, (q15_t)0x7f11, (q15_t)0xf094, (q15_t)0x7f10, (q15_t)0xf08d,
+  (q15_t)0x7f0f, (q15_t)0xf087, (q15_t)0x7f0e, (q15_t)0xf081, (q15_t)0x7f0e, (q15_t)0xf07b, (q15_t)0x7f0d, (q15_t)0xf075,
+  (q15_t)0x7f0c, (q15_t)0xf06e, (q15_t)0x7f0b, (q15_t)0xf068, (q15_t)0x7f0b, (q15_t)0xf062, (q15_t)0x7f0a, (q15_t)0xf05c,
+  (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7f08, (q15_t)0xf04f, (q15_t)0x7f08, (q15_t)0xf049, (q15_t)0x7f07, (q15_t)0xf043,
+  (q15_t)0x7f06, (q15_t)0xf03c, (q15_t)0x7f05, (q15_t)0xf036, (q15_t)0x7f04, (q15_t)0xf030, (q15_t)0x7f04, (q15_t)0xf02a,
+  (q15_t)0x7f03, (q15_t)0xf023, (q15_t)0x7f02, (q15_t)0xf01d, (q15_t)0x7f01, (q15_t)0xf017, (q15_t)0x7f01, (q15_t)0xf011,
+  (q15_t)0x7f00, (q15_t)0xf00b, (q15_t)0x7eff, (q15_t)0xf004, (q15_t)0x7efe, (q15_t)0xeffe, (q15_t)0x7efd, (q15_t)0xeff8,
+  (q15_t)0x7efd, (q15_t)0xeff2, (q15_t)0x7efc, (q15_t)0xefeb, (q15_t)0x7efb, (q15_t)0xefe5, (q15_t)0x7efa, (q15_t)0xefdf,
+  (q15_t)0x7ef9, (q15_t)0xefd9, (q15_t)0x7ef9, (q15_t)0xefd2, (q15_t)0x7ef8, (q15_t)0xefcc, (q15_t)0x7ef7, (q15_t)0xefc6,
+  (q15_t)0x7ef6, (q15_t)0xefc0, (q15_t)0x7ef5, (q15_t)0xefb9, (q15_t)0x7ef5, (q15_t)0xefb3, (q15_t)0x7ef4, (q15_t)0xefad,
+  (q15_t)0x7ef3, (q15_t)0xefa7, (q15_t)0x7ef2, (q15_t)0xefa1, (q15_t)0x7ef1, (q15_t)0xef9a, (q15_t)0x7ef1, (q15_t)0xef94,
+  (q15_t)0x7ef0, (q15_t)0xef8e, (q15_t)0x7eef, (q15_t)0xef88, (q15_t)0x7eee, (q15_t)0xef81, (q15_t)0x7eed, (q15_t)0xef7b,
+  (q15_t)0x7eed, (q15_t)0xef75, (q15_t)0x7eec, (q15_t)0xef6f, (q15_t)0x7eeb, (q15_t)0xef68, (q15_t)0x7eea, (q15_t)0xef62,
+  (q15_t)0x7ee9, (q15_t)0xef5c, (q15_t)0x7ee9, (q15_t)0xef56, (q15_t)0x7ee8, (q15_t)0xef50, (q15_t)0x7ee7, (q15_t)0xef49,
+  (q15_t)0x7ee6, (q15_t)0xef43, (q15_t)0x7ee5, (q15_t)0xef3d, (q15_t)0x7ee4, (q15_t)0xef37, (q15_t)0x7ee4, (q15_t)0xef30,
+  (q15_t)0x7ee3, (q15_t)0xef2a, (q15_t)0x7ee2, (q15_t)0xef24, (q15_t)0x7ee1, (q15_t)0xef1e, (q15_t)0x7ee0, (q15_t)0xef18,
+  (q15_t)0x7edf, (q15_t)0xef11, (q15_t)0x7edf, (q15_t)0xef0b, (q15_t)0x7ede, (q15_t)0xef05, (q15_t)0x7edd, (q15_t)0xeeff,
+  (q15_t)0x7edc, (q15_t)0xeef8, (q15_t)0x7edb, (q15_t)0xeef2, (q15_t)0x7eda, (q15_t)0xeeec, (q15_t)0x7eda, (q15_t)0xeee6,
+  (q15_t)0x7ed9, (q15_t)0xeedf, (q15_t)0x7ed8, (q15_t)0xeed9, (q15_t)0x7ed7, (q15_t)0xeed3, (q15_t)0x7ed6, (q15_t)0xeecd,
+  (q15_t)0x7ed5, (q15_t)0xeec7, (q15_t)0x7ed5, (q15_t)0xeec0, (q15_t)0x7ed4, (q15_t)0xeeba, (q15_t)0x7ed3, (q15_t)0xeeb4,
+  (q15_t)0x7ed2, (q15_t)0xeeae, (q15_t)0x7ed1, (q15_t)0xeea7, (q15_t)0x7ed0, (q15_t)0xeea1, (q15_t)0x7ecf, (q15_t)0xee9b,
+  (q15_t)0x7ecf, (q15_t)0xee95, (q15_t)0x7ece, (q15_t)0xee8f, (q15_t)0x7ecd, (q15_t)0xee88, (q15_t)0x7ecc, (q15_t)0xee82,
+  (q15_t)0x7ecb, (q15_t)0xee7c, (q15_t)0x7eca, (q15_t)0xee76, (q15_t)0x7ec9, (q15_t)0xee6f, (q15_t)0x7ec9, (q15_t)0xee69,
+  (q15_t)0x7ec8, (q15_t)0xee63, (q15_t)0x7ec7, (q15_t)0xee5d, (q15_t)0x7ec6, (q15_t)0xee57, (q15_t)0x7ec5, (q15_t)0xee50,
+  (q15_t)0x7ec4, (q15_t)0xee4a, (q15_t)0x7ec3, (q15_t)0xee44, (q15_t)0x7ec3, (q15_t)0xee3e, (q15_t)0x7ec2, (q15_t)0xee37,
+  (q15_t)0x7ec1, (q15_t)0xee31, (q15_t)0x7ec0, (q15_t)0xee2b, (q15_t)0x7ebf, (q15_t)0xee25, (q15_t)0x7ebe, (q15_t)0xee1f,
+  (q15_t)0x7ebd, (q15_t)0xee18, (q15_t)0x7ebc, (q15_t)0xee12, (q15_t)0x7ebb, (q15_t)0xee0c, (q15_t)0x7ebb, (q15_t)0xee06,
+  (q15_t)0x7eba, (q15_t)0xedff, (q15_t)0x7eb9, (q15_t)0xedf9, (q15_t)0x7eb8, (q15_t)0xedf3, (q15_t)0x7eb7, (q15_t)0xeded,
+  (q15_t)0x7eb6, (q15_t)0xede7, (q15_t)0x7eb5, (q15_t)0xede0, (q15_t)0x7eb4, (q15_t)0xedda, (q15_t)0x7eb4, (q15_t)0xedd4,
+  (q15_t)0x7eb3, (q15_t)0xedce, (q15_t)0x7eb2, (q15_t)0xedc7, (q15_t)0x7eb1, (q15_t)0xedc1, (q15_t)0x7eb0, (q15_t)0xedbb,
+  (q15_t)0x7eaf, (q15_t)0xedb5, (q15_t)0x7eae, (q15_t)0xedaf, (q15_t)0x7ead, (q15_t)0xeda8, (q15_t)0x7eac, (q15_t)0xeda2,
+  (q15_t)0x7eab, (q15_t)0xed9c, (q15_t)0x7eab, (q15_t)0xed96, (q15_t)0x7eaa, (q15_t)0xed8f, (q15_t)0x7ea9, (q15_t)0xed89,
+  (q15_t)0x7ea8, (q15_t)0xed83, (q15_t)0x7ea7, (q15_t)0xed7d, (q15_t)0x7ea6, (q15_t)0xed77, (q15_t)0x7ea5, (q15_t)0xed70,
+  (q15_t)0x7ea4, (q15_t)0xed6a, (q15_t)0x7ea3, (q15_t)0xed64, (q15_t)0x7ea2, (q15_t)0xed5e, (q15_t)0x7ea1, (q15_t)0xed58,
+  (q15_t)0x7ea1, (q15_t)0xed51, (q15_t)0x7ea0, (q15_t)0xed4b, (q15_t)0x7e9f, (q15_t)0xed45, (q15_t)0x7e9e, (q15_t)0xed3f,
+  (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e9c, (q15_t)0xed32, (q15_t)0x7e9b, (q15_t)0xed2c, (q15_t)0x7e9a, (q15_t)0xed26,
+  (q15_t)0x7e99, (q15_t)0xed20, (q15_t)0x7e98, (q15_t)0xed19, (q15_t)0x7e97, (q15_t)0xed13, (q15_t)0x7e96, (q15_t)0xed0d,
+  (q15_t)0x7e95, (q15_t)0xed07, (q15_t)0x7e94, (q15_t)0xed01, (q15_t)0x7e94, (q15_t)0xecfa, (q15_t)0x7e93, (q15_t)0xecf4,
+  (q15_t)0x7e92, (q15_t)0xecee, (q15_t)0x7e91, (q15_t)0xece8, (q15_t)0x7e90, (q15_t)0xece1, (q15_t)0x7e8f, (q15_t)0xecdb,
+  (q15_t)0x7e8e, (q15_t)0xecd5, (q15_t)0x7e8d, (q15_t)0xeccf, (q15_t)0x7e8c, (q15_t)0xecc9, (q15_t)0x7e8b, (q15_t)0xecc2,
+  (q15_t)0x7e8a, (q15_t)0xecbc, (q15_t)0x7e89, (q15_t)0xecb6, (q15_t)0x7e88, (q15_t)0xecb0, (q15_t)0x7e87, (q15_t)0xecaa,
+  (q15_t)0x7e86, (q15_t)0xeca3, (q15_t)0x7e85, (q15_t)0xec9d, (q15_t)0x7e84, (q15_t)0xec97, (q15_t)0x7e84, (q15_t)0xec91,
+  (q15_t)0x7e83, (q15_t)0xec8a, (q15_t)0x7e82, (q15_t)0xec84, (q15_t)0x7e81, (q15_t)0xec7e, (q15_t)0x7e80, (q15_t)0xec78,
+  (q15_t)0x7e7f, (q15_t)0xec72, (q15_t)0x7e7e, (q15_t)0xec6b, (q15_t)0x7e7d, (q15_t)0xec65, (q15_t)0x7e7c, (q15_t)0xec5f,
+  (q15_t)0x7e7b, (q15_t)0xec59, (q15_t)0x7e7a, (q15_t)0xec53, (q15_t)0x7e79, (q15_t)0xec4c, (q15_t)0x7e78, (q15_t)0xec46,
+  (q15_t)0x7e77, (q15_t)0xec40, (q15_t)0x7e76, (q15_t)0xec3a, (q15_t)0x7e75, (q15_t)0xec34, (q15_t)0x7e74, (q15_t)0xec2d,
+  (q15_t)0x7e73, (q15_t)0xec27, (q15_t)0x7e72, (q15_t)0xec21, (q15_t)0x7e71, (q15_t)0xec1b, (q15_t)0x7e70, (q15_t)0xec15,
+  (q15_t)0x7e6f, (q15_t)0xec0e, (q15_t)0x7e6e, (q15_t)0xec08, (q15_t)0x7e6d, (q15_t)0xec02, (q15_t)0x7e6c, (q15_t)0xebfc,
+  (q15_t)0x7e6b, (q15_t)0xebf5, (q15_t)0x7e6a, (q15_t)0xebef, (q15_t)0x7e69, (q15_t)0xebe9, (q15_t)0x7e68, (q15_t)0xebe3,
+  (q15_t)0x7e67, (q15_t)0xebdd, (q15_t)0x7e66, (q15_t)0xebd6, (q15_t)0x7e65, (q15_t)0xebd0, (q15_t)0x7e64, (q15_t)0xebca,
+  (q15_t)0x7e63, (q15_t)0xebc4, (q15_t)0x7e62, (q15_t)0xebbe, (q15_t)0x7e61, (q15_t)0xebb7, (q15_t)0x7e60, (q15_t)0xebb1,
+  (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e5e, (q15_t)0xeba5, (q15_t)0x7e5d, (q15_t)0xeb9f, (q15_t)0x7e5c, (q15_t)0xeb98,
+  (q15_t)0x7e5b, (q15_t)0xeb92, (q15_t)0x7e5a, (q15_t)0xeb8c, (q15_t)0x7e59, (q15_t)0xeb86, (q15_t)0x7e58, (q15_t)0xeb80,
+  (q15_t)0x7e57, (q15_t)0xeb79, (q15_t)0x7e56, (q15_t)0xeb73, (q15_t)0x7e55, (q15_t)0xeb6d, (q15_t)0x7e54, (q15_t)0xeb67,
+  (q15_t)0x7e53, (q15_t)0xeb61, (q15_t)0x7e52, (q15_t)0xeb5a, (q15_t)0x7e51, (q15_t)0xeb54, (q15_t)0x7e50, (q15_t)0xeb4e,
+  (q15_t)0x7e4f, (q15_t)0xeb48, (q15_t)0x7e4e, (q15_t)0xeb42, (q15_t)0x7e4d, (q15_t)0xeb3b, (q15_t)0x7e4c, (q15_t)0xeb35,
+  (q15_t)0x7e4b, (q15_t)0xeb2f, (q15_t)0x7e4a, (q15_t)0xeb29, (q15_t)0x7e49, (q15_t)0xeb23, (q15_t)0x7e48, (q15_t)0xeb1c,
+  (q15_t)0x7e47, (q15_t)0xeb16, (q15_t)0x7e46, (q15_t)0xeb10, (q15_t)0x7e45, (q15_t)0xeb0a, (q15_t)0x7e44, (q15_t)0xeb04,
+  (q15_t)0x7e43, (q15_t)0xeafd, (q15_t)0x7e42, (q15_t)0xeaf7, (q15_t)0x7e41, (q15_t)0xeaf1, (q15_t)0x7e40, (q15_t)0xeaeb,
+  (q15_t)0x7e3f, (q15_t)0xeae5, (q15_t)0x7e3e, (q15_t)0xeade, (q15_t)0x7e3d, (q15_t)0xead8, (q15_t)0x7e3c, (q15_t)0xead2,
+  (q15_t)0x7e3b, (q15_t)0xeacc, (q15_t)0x7e3a, (q15_t)0xeac6, (q15_t)0x7e39, (q15_t)0xeabf, (q15_t)0x7e38, (q15_t)0xeab9,
+  (q15_t)0x7e37, (q15_t)0xeab3, (q15_t)0x7e35, (q15_t)0xeaad, (q15_t)0x7e34, (q15_t)0xeaa7, (q15_t)0x7e33, (q15_t)0xeaa0,
+  (q15_t)0x7e32, (q15_t)0xea9a, (q15_t)0x7e31, (q15_t)0xea94, (q15_t)0x7e30, (q15_t)0xea8e, (q15_t)0x7e2f, (q15_t)0xea88,
+  (q15_t)0x7e2e, (q15_t)0xea81, (q15_t)0x7e2d, (q15_t)0xea7b, (q15_t)0x7e2c, (q15_t)0xea75, (q15_t)0x7e2b, (q15_t)0xea6f,
+  (q15_t)0x7e2a, (q15_t)0xea69, (q15_t)0x7e29, (q15_t)0xea63, (q15_t)0x7e28, (q15_t)0xea5c, (q15_t)0x7e27, (q15_t)0xea56,
+  (q15_t)0x7e26, (q15_t)0xea50, (q15_t)0x7e25, (q15_t)0xea4a, (q15_t)0x7e24, (q15_t)0xea44, (q15_t)0x7e22, (q15_t)0xea3d,
+  (q15_t)0x7e21, (q15_t)0xea37, (q15_t)0x7e20, (q15_t)0xea31, (q15_t)0x7e1f, (q15_t)0xea2b, (q15_t)0x7e1e, (q15_t)0xea25,
+  (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7e1c, (q15_t)0xea18, (q15_t)0x7e1b, (q15_t)0xea12, (q15_t)0x7e1a, (q15_t)0xea0c,
+  (q15_t)0x7e19, (q15_t)0xea06, (q15_t)0x7e18, (q15_t)0xe9ff, (q15_t)0x7e17, (q15_t)0xe9f9, (q15_t)0x7e16, (q15_t)0xe9f3,
+  (q15_t)0x7e14, (q15_t)0xe9ed, (q15_t)0x7e13, (q15_t)0xe9e7, (q15_t)0x7e12, (q15_t)0xe9e1, (q15_t)0x7e11, (q15_t)0xe9da,
+  (q15_t)0x7e10, (q15_t)0xe9d4, (q15_t)0x7e0f, (q15_t)0xe9ce, (q15_t)0x7e0e, (q15_t)0xe9c8, (q15_t)0x7e0d, (q15_t)0xe9c2,
+  (q15_t)0x7e0c, (q15_t)0xe9bb, (q15_t)0x7e0b, (q15_t)0xe9b5, (q15_t)0x7e0a, (q15_t)0xe9af, (q15_t)0x7e08, (q15_t)0xe9a9,
+  (q15_t)0x7e07, (q15_t)0xe9a3, (q15_t)0x7e06, (q15_t)0xe99c, (q15_t)0x7e05, (q15_t)0xe996, (q15_t)0x7e04, (q15_t)0xe990,
+  (q15_t)0x7e03, (q15_t)0xe98a, (q15_t)0x7e02, (q15_t)0xe984, (q15_t)0x7e01, (q15_t)0xe97e, (q15_t)0x7e00, (q15_t)0xe977,
+  (q15_t)0x7dff, (q15_t)0xe971, (q15_t)0x7dfd, (q15_t)0xe96b, (q15_t)0x7dfc, (q15_t)0xe965, (q15_t)0x7dfb, (q15_t)0xe95f,
+  (q15_t)0x7dfa, (q15_t)0xe958, (q15_t)0x7df9, (q15_t)0xe952, (q15_t)0x7df8, (q15_t)0xe94c, (q15_t)0x7df7, (q15_t)0xe946,
+  (q15_t)0x7df6, (q15_t)0xe940, (q15_t)0x7df5, (q15_t)0xe93a, (q15_t)0x7df3, (q15_t)0xe933, (q15_t)0x7df2, (q15_t)0xe92d,
+  (q15_t)0x7df1, (q15_t)0xe927, (q15_t)0x7df0, (q15_t)0xe921, (q15_t)0x7def, (q15_t)0xe91b, (q15_t)0x7dee, (q15_t)0xe914,
+  (q15_t)0x7ded, (q15_t)0xe90e, (q15_t)0x7dec, (q15_t)0xe908, (q15_t)0x7dea, (q15_t)0xe902, (q15_t)0x7de9, (q15_t)0xe8fc,
+  (q15_t)0x7de8, (q15_t)0xe8f6, (q15_t)0x7de7, (q15_t)0xe8ef, (q15_t)0x7de6, (q15_t)0xe8e9, (q15_t)0x7de5, (q15_t)0xe8e3,
+  (q15_t)0x7de4, (q15_t)0xe8dd, (q15_t)0x7de2, (q15_t)0xe8d7, (q15_t)0x7de1, (q15_t)0xe8d0, (q15_t)0x7de0, (q15_t)0xe8ca,
+  (q15_t)0x7ddf, (q15_t)0xe8c4, (q15_t)0x7dde, (q15_t)0xe8be, (q15_t)0x7ddd, (q15_t)0xe8b8, (q15_t)0x7ddc, (q15_t)0xe8b2,
+  (q15_t)0x7dda, (q15_t)0xe8ab, (q15_t)0x7dd9, (q15_t)0xe8a5, (q15_t)0x7dd8, (q15_t)0xe89f, (q15_t)0x7dd7, (q15_t)0xe899,
+  (q15_t)0x7dd6, (q15_t)0xe893, (q15_t)0x7dd5, (q15_t)0xe88c, (q15_t)0x7dd4, (q15_t)0xe886, (q15_t)0x7dd2, (q15_t)0xe880,
+  (q15_t)0x7dd1, (q15_t)0xe87a, (q15_t)0x7dd0, (q15_t)0xe874, (q15_t)0x7dcf, (q15_t)0xe86e, (q15_t)0x7dce, (q15_t)0xe867,
+  (q15_t)0x7dcd, (q15_t)0xe861, (q15_t)0x7dcc, (q15_t)0xe85b, (q15_t)0x7dca, (q15_t)0xe855, (q15_t)0x7dc9, (q15_t)0xe84f,
+  (q15_t)0x7dc8, (q15_t)0xe849, (q15_t)0x7dc7, (q15_t)0xe842, (q15_t)0x7dc6, (q15_t)0xe83c, (q15_t)0x7dc5, (q15_t)0xe836,
+  (q15_t)0x7dc3, (q15_t)0xe830, (q15_t)0x7dc2, (q15_t)0xe82a, (q15_t)0x7dc1, (q15_t)0xe823, (q15_t)0x7dc0, (q15_t)0xe81d,
+  (q15_t)0x7dbf, (q15_t)0xe817, (q15_t)0x7dbd, (q15_t)0xe811, (q15_t)0x7dbc, (q15_t)0xe80b, (q15_t)0x7dbb, (q15_t)0xe805,
+  (q15_t)0x7dba, (q15_t)0xe7fe, (q15_t)0x7db9, (q15_t)0xe7f8, (q15_t)0x7db8, (q15_t)0xe7f2, (q15_t)0x7db6, (q15_t)0xe7ec,
+  (q15_t)0x7db5, (q15_t)0xe7e6, (q15_t)0x7db4, (q15_t)0xe7e0, (q15_t)0x7db3, (q15_t)0xe7d9, (q15_t)0x7db2, (q15_t)0xe7d3,
+  (q15_t)0x7db0, (q15_t)0xe7cd, (q15_t)0x7daf, (q15_t)0xe7c7, (q15_t)0x7dae, (q15_t)0xe7c1, (q15_t)0x7dad, (q15_t)0xe7bb,
+  (q15_t)0x7dac, (q15_t)0xe7b4, (q15_t)0x7dab, (q15_t)0xe7ae, (q15_t)0x7da9, (q15_t)0xe7a8, (q15_t)0x7da8, (q15_t)0xe7a2,
+  (q15_t)0x7da7, (q15_t)0xe79c, (q15_t)0x7da6, (q15_t)0xe796, (q15_t)0x7da5, (q15_t)0xe78f, (q15_t)0x7da3, (q15_t)0xe789,
+  (q15_t)0x7da2, (q15_t)0xe783, (q15_t)0x7da1, (q15_t)0xe77d, (q15_t)0x7da0, (q15_t)0xe777, (q15_t)0x7d9f, (q15_t)0xe771,
+  (q15_t)0x7d9d, (q15_t)0xe76a, (q15_t)0x7d9c, (q15_t)0xe764, (q15_t)0x7d9b, (q15_t)0xe75e, (q15_t)0x7d9a, (q15_t)0xe758,
+  (q15_t)0x7d98, (q15_t)0xe752, (q15_t)0x7d97, (q15_t)0xe74c, (q15_t)0x7d96, (q15_t)0xe745, (q15_t)0x7d95, (q15_t)0xe73f,
+  (q15_t)0x7d94, (q15_t)0xe739, (q15_t)0x7d92, (q15_t)0xe733, (q15_t)0x7d91, (q15_t)0xe72d, (q15_t)0x7d90, (q15_t)0xe727,
+  (q15_t)0x7d8f, (q15_t)0xe720, (q15_t)0x7d8e, (q15_t)0xe71a, (q15_t)0x7d8c, (q15_t)0xe714, (q15_t)0x7d8b, (q15_t)0xe70e,
+  (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d89, (q15_t)0xe702, (q15_t)0x7d87, (q15_t)0xe6fb, (q15_t)0x7d86, (q15_t)0xe6f5,
+  (q15_t)0x7d85, (q15_t)0xe6ef, (q15_t)0x7d84, (q15_t)0xe6e9, (q15_t)0x7d82, (q15_t)0xe6e3, (q15_t)0x7d81, (q15_t)0xe6dd,
+  (q15_t)0x7d80, (q15_t)0xe6d6, (q15_t)0x7d7f, (q15_t)0xe6d0, (q15_t)0x7d7e, (q15_t)0xe6ca, (q15_t)0x7d7c, (q15_t)0xe6c4,
+  (q15_t)0x7d7b, (q15_t)0xe6be, (q15_t)0x7d7a, (q15_t)0xe6b8, (q15_t)0x7d79, (q15_t)0xe6b2, (q15_t)0x7d77, (q15_t)0xe6ab,
+  (q15_t)0x7d76, (q15_t)0xe6a5, (q15_t)0x7d75, (q15_t)0xe69f, (q15_t)0x7d74, (q15_t)0xe699, (q15_t)0x7d72, (q15_t)0xe693,
+  (q15_t)0x7d71, (q15_t)0xe68d, (q15_t)0x7d70, (q15_t)0xe686, (q15_t)0x7d6f, (q15_t)0xe680, (q15_t)0x7d6d, (q15_t)0xe67a,
+  (q15_t)0x7d6c, (q15_t)0xe674, (q15_t)0x7d6b, (q15_t)0xe66e, (q15_t)0x7d6a, (q15_t)0xe668, (q15_t)0x7d68, (q15_t)0xe661,
+  (q15_t)0x7d67, (q15_t)0xe65b, (q15_t)0x7d66, (q15_t)0xe655, (q15_t)0x7d65, (q15_t)0xe64f, (q15_t)0x7d63, (q15_t)0xe649,
+  (q15_t)0x7d62, (q15_t)0xe643, (q15_t)0x7d61, (q15_t)0xe63d, (q15_t)0x7d60, (q15_t)0xe636, (q15_t)0x7d5e, (q15_t)0xe630,
+  (q15_t)0x7d5d, (q15_t)0xe62a, (q15_t)0x7d5c, (q15_t)0xe624, (q15_t)0x7d5a, (q15_t)0xe61e, (q15_t)0x7d59, (q15_t)0xe618,
+  (q15_t)0x7d58, (q15_t)0xe611, (q15_t)0x7d57, (q15_t)0xe60b, (q15_t)0x7d55, (q15_t)0xe605, (q15_t)0x7d54, (q15_t)0xe5ff,
+  (q15_t)0x7d53, (q15_t)0xe5f9, (q15_t)0x7d52, (q15_t)0xe5f3, (q15_t)0x7d50, (q15_t)0xe5ed, (q15_t)0x7d4f, (q15_t)0xe5e6,
+  (q15_t)0x7d4e, (q15_t)0xe5e0, (q15_t)0x7d4c, (q15_t)0xe5da, (q15_t)0x7d4b, (q15_t)0xe5d4, (q15_t)0x7d4a, (q15_t)0xe5ce,
+  (q15_t)0x7d49, (q15_t)0xe5c8, (q15_t)0x7d47, (q15_t)0xe5c2, (q15_t)0x7d46, (q15_t)0xe5bb, (q15_t)0x7d45, (q15_t)0xe5b5,
+  (q15_t)0x7d43, (q15_t)0xe5af, (q15_t)0x7d42, (q15_t)0xe5a9, (q15_t)0x7d41, (q15_t)0xe5a3, (q15_t)0x7d3f, (q15_t)0xe59d,
+  (q15_t)0x7d3e, (q15_t)0xe596, (q15_t)0x7d3d, (q15_t)0xe590, (q15_t)0x7d3c, (q15_t)0xe58a, (q15_t)0x7d3a, (q15_t)0xe584,
+  (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7d38, (q15_t)0xe578, (q15_t)0x7d36, (q15_t)0xe572, (q15_t)0x7d35, (q15_t)0xe56b,
+  (q15_t)0x7d34, (q15_t)0xe565, (q15_t)0x7d32, (q15_t)0xe55f, (q15_t)0x7d31, (q15_t)0xe559, (q15_t)0x7d30, (q15_t)0xe553,
+  (q15_t)0x7d2f, (q15_t)0xe54d, (q15_t)0x7d2d, (q15_t)0xe547, (q15_t)0x7d2c, (q15_t)0xe540, (q15_t)0x7d2b, (q15_t)0xe53a,
+  (q15_t)0x7d29, (q15_t)0xe534, (q15_t)0x7d28, (q15_t)0xe52e, (q15_t)0x7d27, (q15_t)0xe528, (q15_t)0x7d25, (q15_t)0xe522,
+  (q15_t)0x7d24, (q15_t)0xe51c, (q15_t)0x7d23, (q15_t)0xe515, (q15_t)0x7d21, (q15_t)0xe50f, (q15_t)0x7d20, (q15_t)0xe509,
+  (q15_t)0x7d1f, (q15_t)0xe503, (q15_t)0x7d1d, (q15_t)0xe4fd, (q15_t)0x7d1c, (q15_t)0xe4f7, (q15_t)0x7d1b, (q15_t)0xe4f1,
+  (q15_t)0x7d19, (q15_t)0xe4ea, (q15_t)0x7d18, (q15_t)0xe4e4, (q15_t)0x7d17, (q15_t)0xe4de, (q15_t)0x7d15, (q15_t)0xe4d8,
+  (q15_t)0x7d14, (q15_t)0xe4d2, (q15_t)0x7d13, (q15_t)0xe4cc, (q15_t)0x7d11, (q15_t)0xe4c6, (q15_t)0x7d10, (q15_t)0xe4bf,
+  (q15_t)0x7d0f, (q15_t)0xe4b9, (q15_t)0x7d0d, (q15_t)0xe4b3, (q15_t)0x7d0c, (q15_t)0xe4ad, (q15_t)0x7d0b, (q15_t)0xe4a7,
+  (q15_t)0x7d09, (q15_t)0xe4a1, (q15_t)0x7d08, (q15_t)0xe49b, (q15_t)0x7d07, (q15_t)0xe494, (q15_t)0x7d05, (q15_t)0xe48e,
+  (q15_t)0x7d04, (q15_t)0xe488, (q15_t)0x7d03, (q15_t)0xe482, (q15_t)0x7d01, (q15_t)0xe47c, (q15_t)0x7d00, (q15_t)0xe476,
+  (q15_t)0x7cff, (q15_t)0xe470, (q15_t)0x7cfd, (q15_t)0xe46a, (q15_t)0x7cfc, (q15_t)0xe463, (q15_t)0x7cfb, (q15_t)0xe45d,
+  (q15_t)0x7cf9, (q15_t)0xe457, (q15_t)0x7cf8, (q15_t)0xe451, (q15_t)0x7cf6, (q15_t)0xe44b, (q15_t)0x7cf5, (q15_t)0xe445,
+  (q15_t)0x7cf4, (q15_t)0xe43f, (q15_t)0x7cf2, (q15_t)0xe438, (q15_t)0x7cf1, (q15_t)0xe432, (q15_t)0x7cf0, (q15_t)0xe42c,
+  (q15_t)0x7cee, (q15_t)0xe426, (q15_t)0x7ced, (q15_t)0xe420, (q15_t)0x7cec, (q15_t)0xe41a, (q15_t)0x7cea, (q15_t)0xe414,
+  (q15_t)0x7ce9, (q15_t)0xe40e, (q15_t)0x7ce7, (q15_t)0xe407, (q15_t)0x7ce6, (q15_t)0xe401, (q15_t)0x7ce5, (q15_t)0xe3fb,
+  (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7ce2, (q15_t)0xe3ef, (q15_t)0x7ce1, (q15_t)0xe3e9, (q15_t)0x7cdf, (q15_t)0xe3e3,
+  (q15_t)0x7cde, (q15_t)0xe3dc, (q15_t)0x7cdc, (q15_t)0xe3d6, (q15_t)0x7cdb, (q15_t)0xe3d0, (q15_t)0x7cda, (q15_t)0xe3ca,
+  (q15_t)0x7cd8, (q15_t)0xe3c4, (q15_t)0x7cd7, (q15_t)0xe3be, (q15_t)0x7cd5, (q15_t)0xe3b8, (q15_t)0x7cd4, (q15_t)0xe3b2,
+  (q15_t)0x7cd3, (q15_t)0xe3ab, (q15_t)0x7cd1, (q15_t)0xe3a5, (q15_t)0x7cd0, (q15_t)0xe39f, (q15_t)0x7ccf, (q15_t)0xe399,
+  (q15_t)0x7ccd, (q15_t)0xe393, (q15_t)0x7ccc, (q15_t)0xe38d, (q15_t)0x7cca, (q15_t)0xe387, (q15_t)0x7cc9, (q15_t)0xe381,
+  (q15_t)0x7cc8, (q15_t)0xe37a, (q15_t)0x7cc6, (q15_t)0xe374, (q15_t)0x7cc5, (q15_t)0xe36e, (q15_t)0x7cc3, (q15_t)0xe368,
+  (q15_t)0x7cc2, (q15_t)0xe362, (q15_t)0x7cc1, (q15_t)0xe35c, (q15_t)0x7cbf, (q15_t)0xe356, (q15_t)0x7cbe, (q15_t)0xe350,
+  (q15_t)0x7cbc, (q15_t)0xe349, (q15_t)0x7cbb, (q15_t)0xe343, (q15_t)0x7cb9, (q15_t)0xe33d, (q15_t)0x7cb8, (q15_t)0xe337,
+  (q15_t)0x7cb7, (q15_t)0xe331, (q15_t)0x7cb5, (q15_t)0xe32b, (q15_t)0x7cb4, (q15_t)0xe325, (q15_t)0x7cb2, (q15_t)0xe31f,
+  (q15_t)0x7cb1, (q15_t)0xe318, (q15_t)0x7cb0, (q15_t)0xe312, (q15_t)0x7cae, (q15_t)0xe30c, (q15_t)0x7cad, (q15_t)0xe306,
+  (q15_t)0x7cab, (q15_t)0xe300, (q15_t)0x7caa, (q15_t)0xe2fa, (q15_t)0x7ca8, (q15_t)0xe2f4, (q15_t)0x7ca7, (q15_t)0xe2ee,
+  (q15_t)0x7ca6, (q15_t)0xe2e8, (q15_t)0x7ca4, (q15_t)0xe2e1, (q15_t)0x7ca3, (q15_t)0xe2db, (q15_t)0x7ca1, (q15_t)0xe2d5,
+  (q15_t)0x7ca0, (q15_t)0xe2cf, (q15_t)0x7c9e, (q15_t)0xe2c9, (q15_t)0x7c9d, (q15_t)0xe2c3, (q15_t)0x7c9c, (q15_t)0xe2bd,
+  (q15_t)0x7c9a, (q15_t)0xe2b7, (q15_t)0x7c99, (q15_t)0xe2b0, (q15_t)0x7c97, (q15_t)0xe2aa, (q15_t)0x7c96, (q15_t)0xe2a4,
+  (q15_t)0x7c94, (q15_t)0xe29e, (q15_t)0x7c93, (q15_t)0xe298, (q15_t)0x7c91, (q15_t)0xe292, (q15_t)0x7c90, (q15_t)0xe28c,
+  (q15_t)0x7c8f, (q15_t)0xe286, (q15_t)0x7c8d, (q15_t)0xe280, (q15_t)0x7c8c, (q15_t)0xe279, (q15_t)0x7c8a, (q15_t)0xe273,
+  (q15_t)0x7c89, (q15_t)0xe26d, (q15_t)0x7c87, (q15_t)0xe267, (q15_t)0x7c86, (q15_t)0xe261, (q15_t)0x7c84, (q15_t)0xe25b,
+  (q15_t)0x7c83, (q15_t)0xe255, (q15_t)0x7c82, (q15_t)0xe24f, (q15_t)0x7c80, (q15_t)0xe249, (q15_t)0x7c7f, (q15_t)0xe242,
+  (q15_t)0x7c7d, (q15_t)0xe23c, (q15_t)0x7c7c, (q15_t)0xe236, (q15_t)0x7c7a, (q15_t)0xe230, (q15_t)0x7c79, (q15_t)0xe22a,
+  (q15_t)0x7c77, (q15_t)0xe224, (q15_t)0x7c76, (q15_t)0xe21e, (q15_t)0x7c74, (q15_t)0xe218, (q15_t)0x7c73, (q15_t)0xe212,
+  (q15_t)0x7c71, (q15_t)0xe20b, (q15_t)0x7c70, (q15_t)0xe205, (q15_t)0x7c6e, (q15_t)0xe1ff, (q15_t)0x7c6d, (q15_t)0xe1f9,
+  (q15_t)0x7c6c, (q15_t)0xe1f3, (q15_t)0x7c6a, (q15_t)0xe1ed, (q15_t)0x7c69, (q15_t)0xe1e7, (q15_t)0x7c67, (q15_t)0xe1e1,
+  (q15_t)0x7c66, (q15_t)0xe1db, (q15_t)0x7c64, (q15_t)0xe1d4, (q15_t)0x7c63, (q15_t)0xe1ce, (q15_t)0x7c61, (q15_t)0xe1c8,
+  (q15_t)0x7c60, (q15_t)0xe1c2, (q15_t)0x7c5e, (q15_t)0xe1bc, (q15_t)0x7c5d, (q15_t)0xe1b6, (q15_t)0x7c5b, (q15_t)0xe1b0,
+  (q15_t)0x7c5a, (q15_t)0xe1aa, (q15_t)0x7c58, (q15_t)0xe1a4, (q15_t)0x7c57, (q15_t)0xe19e, (q15_t)0x7c55, (q15_t)0xe197,
+  (q15_t)0x7c54, (q15_t)0xe191, (q15_t)0x7c52, (q15_t)0xe18b, (q15_t)0x7c51, (q15_t)0xe185, (q15_t)0x7c4f, (q15_t)0xe17f,
+  (q15_t)0x7c4e, (q15_t)0xe179, (q15_t)0x7c4c, (q15_t)0xe173, (q15_t)0x7c4b, (q15_t)0xe16d, (q15_t)0x7c49, (q15_t)0xe167,
+  (q15_t)0x7c48, (q15_t)0xe160, (q15_t)0x7c46, (q15_t)0xe15a, (q15_t)0x7c45, (q15_t)0xe154, (q15_t)0x7c43, (q15_t)0xe14e,
+  (q15_t)0x7c42, (q15_t)0xe148, (q15_t)0x7c40, (q15_t)0xe142, (q15_t)0x7c3f, (q15_t)0xe13c, (q15_t)0x7c3d, (q15_t)0xe136,
+  (q15_t)0x7c3c, (q15_t)0xe130, (q15_t)0x7c3a, (q15_t)0xe12a, (q15_t)0x7c39, (q15_t)0xe123, (q15_t)0x7c37, (q15_t)0xe11d,
+  (q15_t)0x7c36, (q15_t)0xe117, (q15_t)0x7c34, (q15_t)0xe111, (q15_t)0x7c33, (q15_t)0xe10b, (q15_t)0x7c31, (q15_t)0xe105,
+  (q15_t)0x7c30, (q15_t)0xe0ff, (q15_t)0x7c2e, (q15_t)0xe0f9, (q15_t)0x7c2d, (q15_t)0xe0f3, (q15_t)0x7c2b, (q15_t)0xe0ed,
+  (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7c28, (q15_t)0xe0e0, (q15_t)0x7c26, (q15_t)0xe0da, (q15_t)0x7c25, (q15_t)0xe0d4,
+  (q15_t)0x7c23, (q15_t)0xe0ce, (q15_t)0x7c22, (q15_t)0xe0c8, (q15_t)0x7c20, (q15_t)0xe0c2, (q15_t)0x7c1f, (q15_t)0xe0bc,
+  (q15_t)0x7c1d, (q15_t)0xe0b6, (q15_t)0x7c1c, (q15_t)0xe0b0, (q15_t)0x7c1a, (q15_t)0xe0aa, (q15_t)0x7c19, (q15_t)0xe0a3,
+  (q15_t)0x7c17, (q15_t)0xe09d, (q15_t)0x7c16, (q15_t)0xe097, (q15_t)0x7c14, (q15_t)0xe091, (q15_t)0x7c12, (q15_t)0xe08b,
+  (q15_t)0x7c11, (q15_t)0xe085, (q15_t)0x7c0f, (q15_t)0xe07f, (q15_t)0x7c0e, (q15_t)0xe079, (q15_t)0x7c0c, (q15_t)0xe073,
+  (q15_t)0x7c0b, (q15_t)0xe06d, (q15_t)0x7c09, (q15_t)0xe067, (q15_t)0x7c08, (q15_t)0xe061, (q15_t)0x7c06, (q15_t)0xe05a,
+  (q15_t)0x7c05, (q15_t)0xe054, (q15_t)0x7c03, (q15_t)0xe04e, (q15_t)0x7c01, (q15_t)0xe048, (q15_t)0x7c00, (q15_t)0xe042,
+  (q15_t)0x7bfe, (q15_t)0xe03c, (q15_t)0x7bfd, (q15_t)0xe036, (q15_t)0x7bfb, (q15_t)0xe030, (q15_t)0x7bfa, (q15_t)0xe02a,
+  (q15_t)0x7bf8, (q15_t)0xe024, (q15_t)0x7bf6, (q15_t)0xe01e, (q15_t)0x7bf5, (q15_t)0xe017, (q15_t)0x7bf3, (q15_t)0xe011,
+  (q15_t)0x7bf2, (q15_t)0xe00b, (q15_t)0x7bf0, (q15_t)0xe005, (q15_t)0x7bef, (q15_t)0xdfff, (q15_t)0x7bed, (q15_t)0xdff9,
+  (q15_t)0x7beb, (q15_t)0xdff3, (q15_t)0x7bea, (q15_t)0xdfed, (q15_t)0x7be8, (q15_t)0xdfe7, (q15_t)0x7be7, (q15_t)0xdfe1,
+  (q15_t)0x7be5, (q15_t)0xdfdb, (q15_t)0x7be4, (q15_t)0xdfd5, (q15_t)0x7be2, (q15_t)0xdfce, (q15_t)0x7be0, (q15_t)0xdfc8,
+  (q15_t)0x7bdf, (q15_t)0xdfc2, (q15_t)0x7bdd, (q15_t)0xdfbc, (q15_t)0x7bdc, (q15_t)0xdfb6, (q15_t)0x7bda, (q15_t)0xdfb0,
+  (q15_t)0x7bd9, (q15_t)0xdfaa, (q15_t)0x7bd7, (q15_t)0xdfa4, (q15_t)0x7bd5, (q15_t)0xdf9e, (q15_t)0x7bd4, (q15_t)0xdf98,
+  (q15_t)0x7bd2, (q15_t)0xdf92, (q15_t)0x7bd1, (q15_t)0xdf8c, (q15_t)0x7bcf, (q15_t)0xdf86, (q15_t)0x7bcd, (q15_t)0xdf7f,
+  (q15_t)0x7bcc, (q15_t)0xdf79, (q15_t)0x7bca, (q15_t)0xdf73, (q15_t)0x7bc9, (q15_t)0xdf6d, (q15_t)0x7bc7, (q15_t)0xdf67,
+  (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7bc4, (q15_t)0xdf5b, (q15_t)0x7bc2, (q15_t)0xdf55, (q15_t)0x7bc1, (q15_t)0xdf4f,
+  (q15_t)0x7bbf, (q15_t)0xdf49, (q15_t)0x7bbd, (q15_t)0xdf43, (q15_t)0x7bbc, (q15_t)0xdf3d, (q15_t)0x7bba, (q15_t)0xdf37,
+  (q15_t)0x7bb9, (q15_t)0xdf30, (q15_t)0x7bb7, (q15_t)0xdf2a, (q15_t)0x7bb5, (q15_t)0xdf24, (q15_t)0x7bb4, (q15_t)0xdf1e,
+  (q15_t)0x7bb2, (q15_t)0xdf18, (q15_t)0x7bb0, (q15_t)0xdf12, (q15_t)0x7baf, (q15_t)0xdf0c, (q15_t)0x7bad, (q15_t)0xdf06,
+  (q15_t)0x7bac, (q15_t)0xdf00, (q15_t)0x7baa, (q15_t)0xdefa, (q15_t)0x7ba8, (q15_t)0xdef4, (q15_t)0x7ba7, (q15_t)0xdeee,
+  (q15_t)0x7ba5, (q15_t)0xdee8, (q15_t)0x7ba3, (q15_t)0xdee2, (q15_t)0x7ba2, (q15_t)0xdedb, (q15_t)0x7ba0, (q15_t)0xded5,
+  (q15_t)0x7b9f, (q15_t)0xdecf, (q15_t)0x7b9d, (q15_t)0xdec9, (q15_t)0x7b9b, (q15_t)0xdec3, (q15_t)0x7b9a, (q15_t)0xdebd,
+  (q15_t)0x7b98, (q15_t)0xdeb7, (q15_t)0x7b96, (q15_t)0xdeb1, (q15_t)0x7b95, (q15_t)0xdeab, (q15_t)0x7b93, (q15_t)0xdea5,
+  (q15_t)0x7b92, (q15_t)0xde9f, (q15_t)0x7b90, (q15_t)0xde99, (q15_t)0x7b8e, (q15_t)0xde93, (q15_t)0x7b8d, (q15_t)0xde8d,
+  (q15_t)0x7b8b, (q15_t)0xde87, (q15_t)0x7b89, (q15_t)0xde80, (q15_t)0x7b88, (q15_t)0xde7a, (q15_t)0x7b86, (q15_t)0xde74,
+  (q15_t)0x7b84, (q15_t)0xde6e, (q15_t)0x7b83, (q15_t)0xde68, (q15_t)0x7b81, (q15_t)0xde62, (q15_t)0x7b7f, (q15_t)0xde5c,
+  (q15_t)0x7b7e, (q15_t)0xde56, (q15_t)0x7b7c, (q15_t)0xde50, (q15_t)0x7b7a, (q15_t)0xde4a, (q15_t)0x7b79, (q15_t)0xde44,
+  (q15_t)0x7b77, (q15_t)0xde3e, (q15_t)0x7b76, (q15_t)0xde38, (q15_t)0x7b74, (q15_t)0xde32, (q15_t)0x7b72, (q15_t)0xde2c,
+  (q15_t)0x7b71, (q15_t)0xde26, (q15_t)0x7b6f, (q15_t)0xde1f, (q15_t)0x7b6d, (q15_t)0xde19, (q15_t)0x7b6c, (q15_t)0xde13,
+  (q15_t)0x7b6a, (q15_t)0xde0d, (q15_t)0x7b68, (q15_t)0xde07, (q15_t)0x7b67, (q15_t)0xde01, (q15_t)0x7b65, (q15_t)0xddfb,
+  (q15_t)0x7b63, (q15_t)0xddf5, (q15_t)0x7b62, (q15_t)0xddef, (q15_t)0x7b60, (q15_t)0xdde9, (q15_t)0x7b5e, (q15_t)0xdde3,
+  (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7b5b, (q15_t)0xddd7, (q15_t)0x7b59, (q15_t)0xddd1, (q15_t)0x7b57, (q15_t)0xddcb,
+  (q15_t)0x7b56, (q15_t)0xddc5, (q15_t)0x7b54, (q15_t)0xddbf, (q15_t)0x7b52, (q15_t)0xddb9, (q15_t)0x7b51, (q15_t)0xddb2,
+  (q15_t)0x7b4f, (q15_t)0xddac, (q15_t)0x7b4d, (q15_t)0xdda6, (q15_t)0x7b4c, (q15_t)0xdda0, (q15_t)0x7b4a, (q15_t)0xdd9a,
+  (q15_t)0x7b48, (q15_t)0xdd94, (q15_t)0x7b47, (q15_t)0xdd8e, (q15_t)0x7b45, (q15_t)0xdd88, (q15_t)0x7b43, (q15_t)0xdd82,
+  (q15_t)0x7b42, (q15_t)0xdd7c, (q15_t)0x7b40, (q15_t)0xdd76, (q15_t)0x7b3e, (q15_t)0xdd70, (q15_t)0x7b3c, (q15_t)0xdd6a,
+  (q15_t)0x7b3b, (q15_t)0xdd64, (q15_t)0x7b39, (q15_t)0xdd5e, (q15_t)0x7b37, (q15_t)0xdd58, (q15_t)0x7b36, (q15_t)0xdd52,
+  (q15_t)0x7b34, (q15_t)0xdd4c, (q15_t)0x7b32, (q15_t)0xdd46, (q15_t)0x7b31, (q15_t)0xdd40, (q15_t)0x7b2f, (q15_t)0xdd39,
+  (q15_t)0x7b2d, (q15_t)0xdd33, (q15_t)0x7b2b, (q15_t)0xdd2d, (q15_t)0x7b2a, (q15_t)0xdd27, (q15_t)0x7b28, (q15_t)0xdd21,
+  (q15_t)0x7b26, (q15_t)0xdd1b, (q15_t)0x7b25, (q15_t)0xdd15, (q15_t)0x7b23, (q15_t)0xdd0f, (q15_t)0x7b21, (q15_t)0xdd09,
+  (q15_t)0x7b1f, (q15_t)0xdd03, (q15_t)0x7b1e, (q15_t)0xdcfd, (q15_t)0x7b1c, (q15_t)0xdcf7, (q15_t)0x7b1a, (q15_t)0xdcf1,
+  (q15_t)0x7b19, (q15_t)0xdceb, (q15_t)0x7b17, (q15_t)0xdce5, (q15_t)0x7b15, (q15_t)0xdcdf, (q15_t)0x7b13, (q15_t)0xdcd9,
+  (q15_t)0x7b12, (q15_t)0xdcd3, (q15_t)0x7b10, (q15_t)0xdccd, (q15_t)0x7b0e, (q15_t)0xdcc7, (q15_t)0x7b0c, (q15_t)0xdcc1,
+  (q15_t)0x7b0b, (q15_t)0xdcbb, (q15_t)0x7b09, (q15_t)0xdcb5, (q15_t)0x7b07, (q15_t)0xdcae, (q15_t)0x7b06, (q15_t)0xdca8,
+  (q15_t)0x7b04, (q15_t)0xdca2, (q15_t)0x7b02, (q15_t)0xdc9c, (q15_t)0x7b00, (q15_t)0xdc96, (q15_t)0x7aff, (q15_t)0xdc90,
+  (q15_t)0x7afd, (q15_t)0xdc8a, (q15_t)0x7afb, (q15_t)0xdc84, (q15_t)0x7af9, (q15_t)0xdc7e, (q15_t)0x7af8, (q15_t)0xdc78,
+  (q15_t)0x7af6, (q15_t)0xdc72, (q15_t)0x7af4, (q15_t)0xdc6c, (q15_t)0x7af2, (q15_t)0xdc66, (q15_t)0x7af1, (q15_t)0xdc60,
+  (q15_t)0x7aef, (q15_t)0xdc5a, (q15_t)0x7aed, (q15_t)0xdc54, (q15_t)0x7aeb, (q15_t)0xdc4e, (q15_t)0x7aea, (q15_t)0xdc48,
+  (q15_t)0x7ae8, (q15_t)0xdc42, (q15_t)0x7ae6, (q15_t)0xdc3c, (q15_t)0x7ae4, (q15_t)0xdc36, (q15_t)0x7ae3, (q15_t)0xdc30,
+  (q15_t)0x7ae1, (q15_t)0xdc2a, (q15_t)0x7adf, (q15_t)0xdc24, (q15_t)0x7add, (q15_t)0xdc1e, (q15_t)0x7adc, (q15_t)0xdc18,
+  (q15_t)0x7ada, (q15_t)0xdc12, (q15_t)0x7ad8, (q15_t)0xdc0c, (q15_t)0x7ad6, (q15_t)0xdc06, (q15_t)0x7ad5, (q15_t)0xdbff,
+  (q15_t)0x7ad3, (q15_t)0xdbf9, (q15_t)0x7ad1, (q15_t)0xdbf3, (q15_t)0x7acf, (q15_t)0xdbed, (q15_t)0x7acd, (q15_t)0xdbe7,
+  (q15_t)0x7acc, (q15_t)0xdbe1, (q15_t)0x7aca, (q15_t)0xdbdb, (q15_t)0x7ac8, (q15_t)0xdbd5, (q15_t)0x7ac6, (q15_t)0xdbcf,
+  (q15_t)0x7ac5, (q15_t)0xdbc9, (q15_t)0x7ac3, (q15_t)0xdbc3, (q15_t)0x7ac1, (q15_t)0xdbbd, (q15_t)0x7abf, (q15_t)0xdbb7,
+  (q15_t)0x7abd, (q15_t)0xdbb1, (q15_t)0x7abc, (q15_t)0xdbab, (q15_t)0x7aba, (q15_t)0xdba5, (q15_t)0x7ab8, (q15_t)0xdb9f,
+  (q15_t)0x7ab6, (q15_t)0xdb99, (q15_t)0x7ab5, (q15_t)0xdb93, (q15_t)0x7ab3, (q15_t)0xdb8d, (q15_t)0x7ab1, (q15_t)0xdb87,
+  (q15_t)0x7aaf, (q15_t)0xdb81, (q15_t)0x7aad, (q15_t)0xdb7b, (q15_t)0x7aac, (q15_t)0xdb75, (q15_t)0x7aaa, (q15_t)0xdb6f,
+  (q15_t)0x7aa8, (q15_t)0xdb69, (q15_t)0x7aa6, (q15_t)0xdb63, (q15_t)0x7aa4, (q15_t)0xdb5d, (q15_t)0x7aa3, (q15_t)0xdb57,
+  (q15_t)0x7aa1, (q15_t)0xdb51, (q15_t)0x7a9f, (q15_t)0xdb4b, (q15_t)0x7a9d, (q15_t)0xdb45, (q15_t)0x7a9b, (q15_t)0xdb3f,
+  (q15_t)0x7a9a, (q15_t)0xdb39, (q15_t)0x7a98, (q15_t)0xdb33, (q15_t)0x7a96, (q15_t)0xdb2d, (q15_t)0x7a94, (q15_t)0xdb27,
+  (q15_t)0x7a92, (q15_t)0xdb21, (q15_t)0x7a91, (q15_t)0xdb1b, (q15_t)0x7a8f, (q15_t)0xdb15, (q15_t)0x7a8d, (q15_t)0xdb0f,
+  (q15_t)0x7a8b, (q15_t)0xdb09, (q15_t)0x7a89, (q15_t)0xdb03, (q15_t)0x7a87, (q15_t)0xdafd, (q15_t)0x7a86, (q15_t)0xdaf7,
+  (q15_t)0x7a84, (q15_t)0xdaf1, (q15_t)0x7a82, (q15_t)0xdaea, (q15_t)0x7a80, (q15_t)0xdae4, (q15_t)0x7a7e, (q15_t)0xdade,
+  (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a7b, (q15_t)0xdad2, (q15_t)0x7a79, (q15_t)0xdacc, (q15_t)0x7a77, (q15_t)0xdac6,
+  (q15_t)0x7a75, (q15_t)0xdac0, (q15_t)0x7a73, (q15_t)0xdaba, (q15_t)0x7a72, (q15_t)0xdab4, (q15_t)0x7a70, (q15_t)0xdaae,
+  (q15_t)0x7a6e, (q15_t)0xdaa8, (q15_t)0x7a6c, (q15_t)0xdaa2, (q15_t)0x7a6a, (q15_t)0xda9c, (q15_t)0x7a68, (q15_t)0xda96,
+  (q15_t)0x7a67, (q15_t)0xda90, (q15_t)0x7a65, (q15_t)0xda8a, (q15_t)0x7a63, (q15_t)0xda84, (q15_t)0x7a61, (q15_t)0xda7e,
+  (q15_t)0x7a5f, (q15_t)0xda78, (q15_t)0x7a5d, (q15_t)0xda72, (q15_t)0x7a5c, (q15_t)0xda6c, (q15_t)0x7a5a, (q15_t)0xda66,
+  (q15_t)0x7a58, (q15_t)0xda60, (q15_t)0x7a56, (q15_t)0xda5a, (q15_t)0x7a54, (q15_t)0xda54, (q15_t)0x7a52, (q15_t)0xda4e,
+  (q15_t)0x7a50, (q15_t)0xda48, (q15_t)0x7a4f, (q15_t)0xda42, (q15_t)0x7a4d, (q15_t)0xda3c, (q15_t)0x7a4b, (q15_t)0xda36,
+  (q15_t)0x7a49, (q15_t)0xda30, (q15_t)0x7a47, (q15_t)0xda2a, (q15_t)0x7a45, (q15_t)0xda24, (q15_t)0x7a43, (q15_t)0xda1e,
+  (q15_t)0x7a42, (q15_t)0xda18, (q15_t)0x7a40, (q15_t)0xda12, (q15_t)0x7a3e, (q15_t)0xda0c, (q15_t)0x7a3c, (q15_t)0xda06,
+  (q15_t)0x7a3a, (q15_t)0xda00, (q15_t)0x7a38, (q15_t)0xd9fa, (q15_t)0x7a36, (q15_t)0xd9f4, (q15_t)0x7a35, (q15_t)0xd9ee,
+  (q15_t)0x7a33, (q15_t)0xd9e8, (q15_t)0x7a31, (q15_t)0xd9e2, (q15_t)0x7a2f, (q15_t)0xd9dc, (q15_t)0x7a2d, (q15_t)0xd9d6,
+  (q15_t)0x7a2b, (q15_t)0xd9d0, (q15_t)0x7a29, (q15_t)0xd9ca, (q15_t)0x7a27, (q15_t)0xd9c4, (q15_t)0x7a26, (q15_t)0xd9be,
+  (q15_t)0x7a24, (q15_t)0xd9b8, (q15_t)0x7a22, (q15_t)0xd9b2, (q15_t)0x7a20, (q15_t)0xd9ac, (q15_t)0x7a1e, (q15_t)0xd9a6,
+  (q15_t)0x7a1c, (q15_t)0xd9a0, (q15_t)0x7a1a, (q15_t)0xd99a, (q15_t)0x7a18, (q15_t)0xd994, (q15_t)0x7a16, (q15_t)0xd98e,
+  (q15_t)0x7a15, (q15_t)0xd988, (q15_t)0x7a13, (q15_t)0xd982, (q15_t)0x7a11, (q15_t)0xd97c, (q15_t)0x7a0f, (q15_t)0xd976,
+  (q15_t)0x7a0d, (q15_t)0xd970, (q15_t)0x7a0b, (q15_t)0xd96a, (q15_t)0x7a09, (q15_t)0xd964, (q15_t)0x7a07, (q15_t)0xd95e,
+  (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x7a04, (q15_t)0xd952, (q15_t)0x7a02, (q15_t)0xd94c, (q15_t)0x7a00, (q15_t)0xd946,
+  (q15_t)0x79fe, (q15_t)0xd940, (q15_t)0x79fc, (q15_t)0xd93a, (q15_t)0x79fa, (q15_t)0xd934, (q15_t)0x79f8, (q15_t)0xd92e,
+  (q15_t)0x79f6, (q15_t)0xd928, (q15_t)0x79f4, (q15_t)0xd922, (q15_t)0x79f2, (q15_t)0xd91c, (q15_t)0x79f0, (q15_t)0xd917,
+  (q15_t)0x79ef, (q15_t)0xd911, (q15_t)0x79ed, (q15_t)0xd90b, (q15_t)0x79eb, (q15_t)0xd905, (q15_t)0x79e9, (q15_t)0xd8ff,
+  (q15_t)0x79e7, (q15_t)0xd8f9, (q15_t)0x79e5, (q15_t)0xd8f3, (q15_t)0x79e3, (q15_t)0xd8ed, (q15_t)0x79e1, (q15_t)0xd8e7,
+  (q15_t)0x79df, (q15_t)0xd8e1, (q15_t)0x79dd, (q15_t)0xd8db, (q15_t)0x79db, (q15_t)0xd8d5, (q15_t)0x79d9, (q15_t)0xd8cf,
+  (q15_t)0x79d8, (q15_t)0xd8c9, (q15_t)0x79d6, (q15_t)0xd8c3, (q15_t)0x79d4, (q15_t)0xd8bd, (q15_t)0x79d2, (q15_t)0xd8b7,
+  (q15_t)0x79d0, (q15_t)0xd8b1, (q15_t)0x79ce, (q15_t)0xd8ab, (q15_t)0x79cc, (q15_t)0xd8a5, (q15_t)0x79ca, (q15_t)0xd89f,
+  (q15_t)0x79c8, (q15_t)0xd899, (q15_t)0x79c6, (q15_t)0xd893, (q15_t)0x79c4, (q15_t)0xd88d, (q15_t)0x79c2, (q15_t)0xd887,
+  (q15_t)0x79c0, (q15_t)0xd881, (q15_t)0x79be, (q15_t)0xd87b, (q15_t)0x79bc, (q15_t)0xd875, (q15_t)0x79bb, (q15_t)0xd86f,
+  (q15_t)0x79b9, (q15_t)0xd869, (q15_t)0x79b7, (q15_t)0xd863, (q15_t)0x79b5, (q15_t)0xd85d, (q15_t)0x79b3, (q15_t)0xd857,
+  (q15_t)0x79b1, (q15_t)0xd851, (q15_t)0x79af, (q15_t)0xd84b, (q15_t)0x79ad, (q15_t)0xd845, (q15_t)0x79ab, (q15_t)0xd83f,
+  (q15_t)0x79a9, (q15_t)0xd839, (q15_t)0x79a7, (q15_t)0xd833, (q15_t)0x79a5, (q15_t)0xd82d, (q15_t)0x79a3, (q15_t)0xd827,
+  (q15_t)0x79a1, (q15_t)0xd821, (q15_t)0x799f, (q15_t)0xd81b, (q15_t)0x799d, (q15_t)0xd815, (q15_t)0x799b, (q15_t)0xd80f,
+  (q15_t)0x7999, (q15_t)0xd80a, (q15_t)0x7997, (q15_t)0xd804, (q15_t)0x7995, (q15_t)0xd7fe, (q15_t)0x7993, (q15_t)0xd7f8,
+  (q15_t)0x7992, (q15_t)0xd7f2, (q15_t)0x7990, (q15_t)0xd7ec, (q15_t)0x798e, (q15_t)0xd7e6, (q15_t)0x798c, (q15_t)0xd7e0,
+  (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x7988, (q15_t)0xd7d4, (q15_t)0x7986, (q15_t)0xd7ce, (q15_t)0x7984, (q15_t)0xd7c8,
+  (q15_t)0x7982, (q15_t)0xd7c2, (q15_t)0x7980, (q15_t)0xd7bc, (q15_t)0x797e, (q15_t)0xd7b6, (q15_t)0x797c, (q15_t)0xd7b0,
+  (q15_t)0x797a, (q15_t)0xd7aa, (q15_t)0x7978, (q15_t)0xd7a4, (q15_t)0x7976, (q15_t)0xd79e, (q15_t)0x7974, (q15_t)0xd798,
+  (q15_t)0x7972, (q15_t)0xd792, (q15_t)0x7970, (q15_t)0xd78c, (q15_t)0x796e, (q15_t)0xd786, (q15_t)0x796c, (q15_t)0xd780,
+  (q15_t)0x796a, (q15_t)0xd77a, (q15_t)0x7968, (q15_t)0xd774, (q15_t)0x7966, (q15_t)0xd76e, (q15_t)0x7964, (q15_t)0xd768,
+  (q15_t)0x7962, (q15_t)0xd763, (q15_t)0x7960, (q15_t)0xd75d, (q15_t)0x795e, (q15_t)0xd757, (q15_t)0x795c, (q15_t)0xd751,
+  (q15_t)0x795a, (q15_t)0xd74b, (q15_t)0x7958, (q15_t)0xd745, (q15_t)0x7956, (q15_t)0xd73f, (q15_t)0x7954, (q15_t)0xd739,
+  (q15_t)0x7952, (q15_t)0xd733, (q15_t)0x7950, (q15_t)0xd72d, (q15_t)0x794e, (q15_t)0xd727, (q15_t)0x794c, (q15_t)0xd721,
+  (q15_t)0x794a, (q15_t)0xd71b, (q15_t)0x7948, (q15_t)0xd715, (q15_t)0x7946, (q15_t)0xd70f, (q15_t)0x7944, (q15_t)0xd709,
+  (q15_t)0x7942, (q15_t)0xd703, (q15_t)0x7940, (q15_t)0xd6fd, (q15_t)0x793e, (q15_t)0xd6f7, (q15_t)0x793c, (q15_t)0xd6f1,
+  (q15_t)0x793a, (q15_t)0xd6eb, (q15_t)0x7938, (q15_t)0xd6e5, (q15_t)0x7936, (q15_t)0xd6e0, (q15_t)0x7934, (q15_t)0xd6da,
+  (q15_t)0x7932, (q15_t)0xd6d4, (q15_t)0x7930, (q15_t)0xd6ce, (q15_t)0x792e, (q15_t)0xd6c8, (q15_t)0x792c, (q15_t)0xd6c2,
+  (q15_t)0x792a, (q15_t)0xd6bc, (q15_t)0x7928, (q15_t)0xd6b6, (q15_t)0x7926, (q15_t)0xd6b0, (q15_t)0x7924, (q15_t)0xd6aa,
+  (q15_t)0x7922, (q15_t)0xd6a4, (q15_t)0x7920, (q15_t)0xd69e, (q15_t)0x791e, (q15_t)0xd698, (q15_t)0x791c, (q15_t)0xd692,
+  (q15_t)0x7919, (q15_t)0xd68c, (q15_t)0x7917, (q15_t)0xd686, (q15_t)0x7915, (q15_t)0xd680, (q15_t)0x7913, (q15_t)0xd67a,
+  (q15_t)0x7911, (q15_t)0xd675, (q15_t)0x790f, (q15_t)0xd66f, (q15_t)0x790d, (q15_t)0xd669, (q15_t)0x790b, (q15_t)0xd663,
+  (q15_t)0x7909, (q15_t)0xd65d, (q15_t)0x7907, (q15_t)0xd657, (q15_t)0x7905, (q15_t)0xd651, (q15_t)0x7903, (q15_t)0xd64b,
+  (q15_t)0x7901, (q15_t)0xd645, (q15_t)0x78ff, (q15_t)0xd63f, (q15_t)0x78fd, (q15_t)0xd639, (q15_t)0x78fb, (q15_t)0xd633,
+  (q15_t)0x78f9, (q15_t)0xd62d, (q15_t)0x78f7, (q15_t)0xd627, (q15_t)0x78f5, (q15_t)0xd621, (q15_t)0x78f3, (q15_t)0xd61b,
+  (q15_t)0x78f1, (q15_t)0xd615, (q15_t)0x78ee, (q15_t)0xd610, (q15_t)0x78ec, (q15_t)0xd60a, (q15_t)0x78ea, (q15_t)0xd604,
+  (q15_t)0x78e8, (q15_t)0xd5fe, (q15_t)0x78e6, (q15_t)0xd5f8, (q15_t)0x78e4, (q15_t)0xd5f2, (q15_t)0x78e2, (q15_t)0xd5ec,
+  (q15_t)0x78e0, (q15_t)0xd5e6, (q15_t)0x78de, (q15_t)0xd5e0, (q15_t)0x78dc, (q15_t)0xd5da, (q15_t)0x78da, (q15_t)0xd5d4,
+  (q15_t)0x78d8, (q15_t)0xd5ce, (q15_t)0x78d6, (q15_t)0xd5c8, (q15_t)0x78d4, (q15_t)0xd5c2, (q15_t)0x78d2, (q15_t)0xd5bc,
+  (q15_t)0x78cf, (q15_t)0xd5b7, (q15_t)0x78cd, (q15_t)0xd5b1, (q15_t)0x78cb, (q15_t)0xd5ab, (q15_t)0x78c9, (q15_t)0xd5a5,
+  (q15_t)0x78c7, (q15_t)0xd59f, (q15_t)0x78c5, (q15_t)0xd599, (q15_t)0x78c3, (q15_t)0xd593, (q15_t)0x78c1, (q15_t)0xd58d,
+  (q15_t)0x78bf, (q15_t)0xd587, (q15_t)0x78bd, (q15_t)0xd581, (q15_t)0x78bb, (q15_t)0xd57b, (q15_t)0x78b9, (q15_t)0xd575,
+  (q15_t)0x78b6, (q15_t)0xd56f, (q15_t)0x78b4, (q15_t)0xd569, (q15_t)0x78b2, (q15_t)0xd564, (q15_t)0x78b0, (q15_t)0xd55e,
+  (q15_t)0x78ae, (q15_t)0xd558, (q15_t)0x78ac, (q15_t)0xd552, (q15_t)0x78aa, (q15_t)0xd54c, (q15_t)0x78a8, (q15_t)0xd546,
+  (q15_t)0x78a6, (q15_t)0xd540, (q15_t)0x78a4, (q15_t)0xd53a, (q15_t)0x78a2, (q15_t)0xd534, (q15_t)0x789f, (q15_t)0xd52e,
+  (q15_t)0x789d, (q15_t)0xd528, (q15_t)0x789b, (q15_t)0xd522, (q15_t)0x7899, (q15_t)0xd51c, (q15_t)0x7897, (q15_t)0xd517,
+  (q15_t)0x7895, (q15_t)0xd511, (q15_t)0x7893, (q15_t)0xd50b, (q15_t)0x7891, (q15_t)0xd505, (q15_t)0x788f, (q15_t)0xd4ff,
+  (q15_t)0x788c, (q15_t)0xd4f9, (q15_t)0x788a, (q15_t)0xd4f3, (q15_t)0x7888, (q15_t)0xd4ed, (q15_t)0x7886, (q15_t)0xd4e7,
+  (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x7882, (q15_t)0xd4db, (q15_t)0x7880, (q15_t)0xd4d5, (q15_t)0x787e, (q15_t)0xd4d0,
+  (q15_t)0x787c, (q15_t)0xd4ca, (q15_t)0x7879, (q15_t)0xd4c4, (q15_t)0x7877, (q15_t)0xd4be, (q15_t)0x7875, (q15_t)0xd4b8,
+  (q15_t)0x7873, (q15_t)0xd4b2, (q15_t)0x7871, (q15_t)0xd4ac, (q15_t)0x786f, (q15_t)0xd4a6, (q15_t)0x786d, (q15_t)0xd4a0,
+  (q15_t)0x786b, (q15_t)0xd49a, (q15_t)0x7868, (q15_t)0xd494, (q15_t)0x7866, (q15_t)0xd48f, (q15_t)0x7864, (q15_t)0xd489,
+  (q15_t)0x7862, (q15_t)0xd483, (q15_t)0x7860, (q15_t)0xd47d, (q15_t)0x785e, (q15_t)0xd477, (q15_t)0x785c, (q15_t)0xd471,
+  (q15_t)0x7859, (q15_t)0xd46b, (q15_t)0x7857, (q15_t)0xd465, (q15_t)0x7855, (q15_t)0xd45f, (q15_t)0x7853, (q15_t)0xd459,
+  (q15_t)0x7851, (q15_t)0xd453, (q15_t)0x784f, (q15_t)0xd44e, (q15_t)0x784d, (q15_t)0xd448, (q15_t)0x784a, (q15_t)0xd442,
+  (q15_t)0x7848, (q15_t)0xd43c, (q15_t)0x7846, (q15_t)0xd436, (q15_t)0x7844, (q15_t)0xd430, (q15_t)0x7842, (q15_t)0xd42a,
+  (q15_t)0x7840, (q15_t)0xd424, (q15_t)0x783e, (q15_t)0xd41e, (q15_t)0x783b, (q15_t)0xd418, (q15_t)0x7839, (q15_t)0xd412,
+  (q15_t)0x7837, (q15_t)0xd40d, (q15_t)0x7835, (q15_t)0xd407, (q15_t)0x7833, (q15_t)0xd401, (q15_t)0x7831, (q15_t)0xd3fb,
+  (q15_t)0x782e, (q15_t)0xd3f5, (q15_t)0x782c, (q15_t)0xd3ef, (q15_t)0x782a, (q15_t)0xd3e9, (q15_t)0x7828, (q15_t)0xd3e3,
+  (q15_t)0x7826, (q15_t)0xd3dd, (q15_t)0x7824, (q15_t)0xd3d7, (q15_t)0x7821, (q15_t)0xd3d2, (q15_t)0x781f, (q15_t)0xd3cc,
+  (q15_t)0x781d, (q15_t)0xd3c6, (q15_t)0x781b, (q15_t)0xd3c0, (q15_t)0x7819, (q15_t)0xd3ba, (q15_t)0x7817, (q15_t)0xd3b4,
+  (q15_t)0x7814, (q15_t)0xd3ae, (q15_t)0x7812, (q15_t)0xd3a8, (q15_t)0x7810, (q15_t)0xd3a2, (q15_t)0x780e, (q15_t)0xd39d,
+  (q15_t)0x780c, (q15_t)0xd397, (q15_t)0x780a, (q15_t)0xd391, (q15_t)0x7807, (q15_t)0xd38b, (q15_t)0x7805, (q15_t)0xd385,
+  (q15_t)0x7803, (q15_t)0xd37f, (q15_t)0x7801, (q15_t)0xd379, (q15_t)0x77ff, (q15_t)0xd373, (q15_t)0x77fc, (q15_t)0xd36d,
+  (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x77f8, (q15_t)0xd362, (q15_t)0x77f6, (q15_t)0xd35c, (q15_t)0x77f4, (q15_t)0xd356,
+  (q15_t)0x77f1, (q15_t)0xd350, (q15_t)0x77ef, (q15_t)0xd34a, (q15_t)0x77ed, (q15_t)0xd344, (q15_t)0x77eb, (q15_t)0xd33e,
+  (q15_t)0x77e9, (q15_t)0xd338, (q15_t)0x77e6, (q15_t)0xd333, (q15_t)0x77e4, (q15_t)0xd32d, (q15_t)0x77e2, (q15_t)0xd327,
+  (q15_t)0x77e0, (q15_t)0xd321, (q15_t)0x77de, (q15_t)0xd31b, (q15_t)0x77db, (q15_t)0xd315, (q15_t)0x77d9, (q15_t)0xd30f,
+  (q15_t)0x77d7, (q15_t)0xd309, (q15_t)0x77d5, (q15_t)0xd303, (q15_t)0x77d3, (q15_t)0xd2fe, (q15_t)0x77d0, (q15_t)0xd2f8,
+  (q15_t)0x77ce, (q15_t)0xd2f2, (q15_t)0x77cc, (q15_t)0xd2ec, (q15_t)0x77ca, (q15_t)0xd2e6, (q15_t)0x77c8, (q15_t)0xd2e0,
+  (q15_t)0x77c5, (q15_t)0xd2da, (q15_t)0x77c3, (q15_t)0xd2d4, (q15_t)0x77c1, (q15_t)0xd2cf, (q15_t)0x77bf, (q15_t)0xd2c9,
+  (q15_t)0x77bc, (q15_t)0xd2c3, (q15_t)0x77ba, (q15_t)0xd2bd, (q15_t)0x77b8, (q15_t)0xd2b7, (q15_t)0x77b6, (q15_t)0xd2b1,
+  (q15_t)0x77b4, (q15_t)0xd2ab, (q15_t)0x77b1, (q15_t)0xd2a5, (q15_t)0x77af, (q15_t)0xd2a0, (q15_t)0x77ad, (q15_t)0xd29a,
+  (q15_t)0x77ab, (q15_t)0xd294, (q15_t)0x77a8, (q15_t)0xd28e, (q15_t)0x77a6, (q15_t)0xd288, (q15_t)0x77a4, (q15_t)0xd282,
+  (q15_t)0x77a2, (q15_t)0xd27c, (q15_t)0x77a0, (q15_t)0xd276, (q15_t)0x779d, (q15_t)0xd271, (q15_t)0x779b, (q15_t)0xd26b,
+  (q15_t)0x7799, (q15_t)0xd265, (q15_t)0x7797, (q15_t)0xd25f, (q15_t)0x7794, (q15_t)0xd259, (q15_t)0x7792, (q15_t)0xd253,
+  (q15_t)0x7790, (q15_t)0xd24d, (q15_t)0x778e, (q15_t)0xd247, (q15_t)0x778b, (q15_t)0xd242, (q15_t)0x7789, (q15_t)0xd23c,
+  (q15_t)0x7787, (q15_t)0xd236, (q15_t)0x7785, (q15_t)0xd230, (q15_t)0x7782, (q15_t)0xd22a, (q15_t)0x7780, (q15_t)0xd224,
+  (q15_t)0x777e, (q15_t)0xd21e, (q15_t)0x777c, (q15_t)0xd219, (q15_t)0x7779, (q15_t)0xd213, (q15_t)0x7777, (q15_t)0xd20d,
+  (q15_t)0x7775, (q15_t)0xd207, (q15_t)0x7773, (q15_t)0xd201, (q15_t)0x7770, (q15_t)0xd1fb, (q15_t)0x776e, (q15_t)0xd1f5,
+  (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x776a, (q15_t)0xd1ea, (q15_t)0x7767, (q15_t)0xd1e4, (q15_t)0x7765, (q15_t)0xd1de,
+  (q15_t)0x7763, (q15_t)0xd1d8, (q15_t)0x7760, (q15_t)0xd1d2, (q15_t)0x775e, (q15_t)0xd1cc, (q15_t)0x775c, (q15_t)0xd1c6,
+  (q15_t)0x775a, (q15_t)0xd1c1, (q15_t)0x7757, (q15_t)0xd1bb, (q15_t)0x7755, (q15_t)0xd1b5, (q15_t)0x7753, (q15_t)0xd1af,
+  (q15_t)0x7751, (q15_t)0xd1a9, (q15_t)0x774e, (q15_t)0xd1a3, (q15_t)0x774c, (q15_t)0xd19d, (q15_t)0x774a, (q15_t)0xd198,
+  (q15_t)0x7747, (q15_t)0xd192, (q15_t)0x7745, (q15_t)0xd18c, (q15_t)0x7743, (q15_t)0xd186, (q15_t)0x7741, (q15_t)0xd180,
+  (q15_t)0x773e, (q15_t)0xd17a, (q15_t)0x773c, (q15_t)0xd174, (q15_t)0x773a, (q15_t)0xd16f, (q15_t)0x7738, (q15_t)0xd169,
+  (q15_t)0x7735, (q15_t)0xd163, (q15_t)0x7733, (q15_t)0xd15d, (q15_t)0x7731, (q15_t)0xd157, (q15_t)0x772e, (q15_t)0xd151,
+  (q15_t)0x772c, (q15_t)0xd14b, (q15_t)0x772a, (q15_t)0xd146, (q15_t)0x7727, (q15_t)0xd140, (q15_t)0x7725, (q15_t)0xd13a,
+  (q15_t)0x7723, (q15_t)0xd134, (q15_t)0x7721, (q15_t)0xd12e, (q15_t)0x771e, (q15_t)0xd128, (q15_t)0x771c, (q15_t)0xd123,
+  (q15_t)0x771a, (q15_t)0xd11d, (q15_t)0x7717, (q15_t)0xd117, (q15_t)0x7715, (q15_t)0xd111, (q15_t)0x7713, (q15_t)0xd10b,
+  (q15_t)0x7710, (q15_t)0xd105, (q15_t)0x770e, (q15_t)0xd0ff, (q15_t)0x770c, (q15_t)0xd0fa, (q15_t)0x770a, (q15_t)0xd0f4,
+  (q15_t)0x7707, (q15_t)0xd0ee, (q15_t)0x7705, (q15_t)0xd0e8, (q15_t)0x7703, (q15_t)0xd0e2, (q15_t)0x7700, (q15_t)0xd0dc,
+  (q15_t)0x76fe, (q15_t)0xd0d7, (q15_t)0x76fc, (q15_t)0xd0d1, (q15_t)0x76f9, (q15_t)0xd0cb, (q15_t)0x76f7, (q15_t)0xd0c5,
+  (q15_t)0x76f5, (q15_t)0xd0bf, (q15_t)0x76f2, (q15_t)0xd0b9, (q15_t)0x76f0, (q15_t)0xd0b4, (q15_t)0x76ee, (q15_t)0xd0ae,
+  (q15_t)0x76eb, (q15_t)0xd0a8, (q15_t)0x76e9, (q15_t)0xd0a2, (q15_t)0x76e7, (q15_t)0xd09c, (q15_t)0x76e4, (q15_t)0xd096,
+  (q15_t)0x76e2, (q15_t)0xd091, (q15_t)0x76e0, (q15_t)0xd08b, (q15_t)0x76dd, (q15_t)0xd085, (q15_t)0x76db, (q15_t)0xd07f,
+  (q15_t)0x76d9, (q15_t)0xd079, (q15_t)0x76d6, (q15_t)0xd073, (q15_t)0x76d4, (q15_t)0xd06e, (q15_t)0x76d2, (q15_t)0xd068,
+  (q15_t)0x76cf, (q15_t)0xd062, (q15_t)0x76cd, (q15_t)0xd05c, (q15_t)0x76cb, (q15_t)0xd056, (q15_t)0x76c8, (q15_t)0xd050,
+  (q15_t)0x76c6, (q15_t)0xd04b, (q15_t)0x76c4, (q15_t)0xd045, (q15_t)0x76c1, (q15_t)0xd03f, (q15_t)0x76bf, (q15_t)0xd039,
+  (q15_t)0x76bd, (q15_t)0xd033, (q15_t)0x76ba, (q15_t)0xd02d, (q15_t)0x76b8, (q15_t)0xd028, (q15_t)0x76b6, (q15_t)0xd022,
+  (q15_t)0x76b3, (q15_t)0xd01c, (q15_t)0x76b1, (q15_t)0xd016, (q15_t)0x76af, (q15_t)0xd010, (q15_t)0x76ac, (q15_t)0xd00a,
+  (q15_t)0x76aa, (q15_t)0xd005, (q15_t)0x76a8, (q15_t)0xcfff, (q15_t)0x76a5, (q15_t)0xcff9, (q15_t)0x76a3, (q15_t)0xcff3,
+  (q15_t)0x76a0, (q15_t)0xcfed, (q15_t)0x769e, (q15_t)0xcfe7, (q15_t)0x769c, (q15_t)0xcfe2, (q15_t)0x7699, (q15_t)0xcfdc,
+  (q15_t)0x7697, (q15_t)0xcfd6, (q15_t)0x7695, (q15_t)0xcfd0, (q15_t)0x7692, (q15_t)0xcfca, (q15_t)0x7690, (q15_t)0xcfc5,
+  (q15_t)0x768e, (q15_t)0xcfbf, (q15_t)0x768b, (q15_t)0xcfb9, (q15_t)0x7689, (q15_t)0xcfb3, (q15_t)0x7686, (q15_t)0xcfad,
+  (q15_t)0x7684, (q15_t)0xcfa7, (q15_t)0x7682, (q15_t)0xcfa2, (q15_t)0x767f, (q15_t)0xcf9c, (q15_t)0x767d, (q15_t)0xcf96,
+  (q15_t)0x767b, (q15_t)0xcf90, (q15_t)0x7678, (q15_t)0xcf8a, (q15_t)0x7676, (q15_t)0xcf85, (q15_t)0x7673, (q15_t)0xcf7f,
+  (q15_t)0x7671, (q15_t)0xcf79, (q15_t)0x766f, (q15_t)0xcf73, (q15_t)0x766c, (q15_t)0xcf6d, (q15_t)0x766a, (q15_t)0xcf67,
+  (q15_t)0x7668, (q15_t)0xcf62, (q15_t)0x7665, (q15_t)0xcf5c, (q15_t)0x7663, (q15_t)0xcf56, (q15_t)0x7660, (q15_t)0xcf50,
+  (q15_t)0x765e, (q15_t)0xcf4a, (q15_t)0x765c, (q15_t)0xcf45, (q15_t)0x7659, (q15_t)0xcf3f, (q15_t)0x7657, (q15_t)0xcf39,
+  (q15_t)0x7654, (q15_t)0xcf33, (q15_t)0x7652, (q15_t)0xcf2d, (q15_t)0x7650, (q15_t)0xcf28, (q15_t)0x764d, (q15_t)0xcf22,
+  (q15_t)0x764b, (q15_t)0xcf1c, (q15_t)0x7648, (q15_t)0xcf16, (q15_t)0x7646, (q15_t)0xcf10, (q15_t)0x7644, (q15_t)0xcf0b,
+  (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x763f, (q15_t)0xceff, (q15_t)0x763c, (q15_t)0xcef9, (q15_t)0x763a, (q15_t)0xcef3,
+  (q15_t)0x7638, (q15_t)0xceee, (q15_t)0x7635, (q15_t)0xcee8, (q15_t)0x7633, (q15_t)0xcee2, (q15_t)0x7630, (q15_t)0xcedc,
+  (q15_t)0x762e, (q15_t)0xced6, (q15_t)0x762b, (q15_t)0xced1, (q15_t)0x7629, (q15_t)0xcecb, (q15_t)0x7627, (q15_t)0xcec5,
+  (q15_t)0x7624, (q15_t)0xcebf, (q15_t)0x7622, (q15_t)0xceb9, (q15_t)0x761f, (q15_t)0xceb4, (q15_t)0x761d, (q15_t)0xceae,
+  (q15_t)0x761b, (q15_t)0xcea8, (q15_t)0x7618, (q15_t)0xcea2, (q15_t)0x7616, (q15_t)0xce9c, (q15_t)0x7613, (q15_t)0xce97,
+  (q15_t)0x7611, (q15_t)0xce91, (q15_t)0x760e, (q15_t)0xce8b, (q15_t)0x760c, (q15_t)0xce85, (q15_t)0x760a, (q15_t)0xce7f,
+  (q15_t)0x7607, (q15_t)0xce7a, (q15_t)0x7605, (q15_t)0xce74, (q15_t)0x7602, (q15_t)0xce6e, (q15_t)0x7600, (q15_t)0xce68,
+  (q15_t)0x75fd, (q15_t)0xce62, (q15_t)0x75fb, (q15_t)0xce5d, (q15_t)0x75f9, (q15_t)0xce57, (q15_t)0x75f6, (q15_t)0xce51,
+  (q15_t)0x75f4, (q15_t)0xce4b, (q15_t)0x75f1, (q15_t)0xce45, (q15_t)0x75ef, (q15_t)0xce40, (q15_t)0x75ec, (q15_t)0xce3a,
+  (q15_t)0x75ea, (q15_t)0xce34, (q15_t)0x75e7, (q15_t)0xce2e, (q15_t)0x75e5, (q15_t)0xce28, (q15_t)0x75e3, (q15_t)0xce23,
+  (q15_t)0x75e0, (q15_t)0xce1d, (q15_t)0x75de, (q15_t)0xce17, (q15_t)0x75db, (q15_t)0xce11, (q15_t)0x75d9, (q15_t)0xce0c,
+  (q15_t)0x75d6, (q15_t)0xce06, (q15_t)0x75d4, (q15_t)0xce00, (q15_t)0x75d1, (q15_t)0xcdfa, (q15_t)0x75cf, (q15_t)0xcdf4,
+  (q15_t)0x75cc, (q15_t)0xcdef, (q15_t)0x75ca, (q15_t)0xcde9, (q15_t)0x75c8, (q15_t)0xcde3, (q15_t)0x75c5, (q15_t)0xcddd,
+  (q15_t)0x75c3, (q15_t)0xcdd8, (q15_t)0x75c0, (q15_t)0xcdd2, (q15_t)0x75be, (q15_t)0xcdcc, (q15_t)0x75bb, (q15_t)0xcdc6,
+  (q15_t)0x75b9, (q15_t)0xcdc0, (q15_t)0x75b6, (q15_t)0xcdbb, (q15_t)0x75b4, (q15_t)0xcdb5, (q15_t)0x75b1, (q15_t)0xcdaf,
+  (q15_t)0x75af, (q15_t)0xcda9, (q15_t)0x75ac, (q15_t)0xcda3, (q15_t)0x75aa, (q15_t)0xcd9e, (q15_t)0x75a7, (q15_t)0xcd98,
+  (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x75a3, (q15_t)0xcd8c, (q15_t)0x75a0, (q15_t)0xcd87, (q15_t)0x759e, (q15_t)0xcd81,
+  (q15_t)0x759b, (q15_t)0xcd7b, (q15_t)0x7599, (q15_t)0xcd75, (q15_t)0x7596, (q15_t)0xcd70, (q15_t)0x7594, (q15_t)0xcd6a,
+  (q15_t)0x7591, (q15_t)0xcd64, (q15_t)0x758f, (q15_t)0xcd5e, (q15_t)0x758c, (q15_t)0xcd58, (q15_t)0x758a, (q15_t)0xcd53,
+  (q15_t)0x7587, (q15_t)0xcd4d, (q15_t)0x7585, (q15_t)0xcd47, (q15_t)0x7582, (q15_t)0xcd41, (q15_t)0x7580, (q15_t)0xcd3c,
+  (q15_t)0x757d, (q15_t)0xcd36, (q15_t)0x757b, (q15_t)0xcd30, (q15_t)0x7578, (q15_t)0xcd2a, (q15_t)0x7576, (q15_t)0xcd25,
+  (q15_t)0x7573, (q15_t)0xcd1f, (q15_t)0x7571, (q15_t)0xcd19, (q15_t)0x756e, (q15_t)0xcd13, (q15_t)0x756c, (q15_t)0xcd0d,
+  (q15_t)0x7569, (q15_t)0xcd08, (q15_t)0x7567, (q15_t)0xcd02, (q15_t)0x7564, (q15_t)0xccfc, (q15_t)0x7562, (q15_t)0xccf6,
+  (q15_t)0x755f, (q15_t)0xccf1, (q15_t)0x755d, (q15_t)0xcceb, (q15_t)0x755a, (q15_t)0xcce5, (q15_t)0x7558, (q15_t)0xccdf,
+  (q15_t)0x7555, (q15_t)0xccda, (q15_t)0x7553, (q15_t)0xccd4, (q15_t)0x7550, (q15_t)0xccce, (q15_t)0x754e, (q15_t)0xccc8,
+  (q15_t)0x754b, (q15_t)0xccc3, (q15_t)0x7549, (q15_t)0xccbd, (q15_t)0x7546, (q15_t)0xccb7, (q15_t)0x7544, (q15_t)0xccb1,
+  (q15_t)0x7541, (q15_t)0xccac, (q15_t)0x753f, (q15_t)0xcca6, (q15_t)0x753c, (q15_t)0xcca0, (q15_t)0x753a, (q15_t)0xcc9a,
+  (q15_t)0x7537, (q15_t)0xcc95, (q15_t)0x7535, (q15_t)0xcc8f, (q15_t)0x7532, (q15_t)0xcc89, (q15_t)0x752f, (q15_t)0xcc83,
+  (q15_t)0x752d, (q15_t)0xcc7e, (q15_t)0x752a, (q15_t)0xcc78, (q15_t)0x7528, (q15_t)0xcc72, (q15_t)0x7525, (q15_t)0xcc6c,
+  (q15_t)0x7523, (q15_t)0xcc67, (q15_t)0x7520, (q15_t)0xcc61, (q15_t)0x751e, (q15_t)0xcc5b, (q15_t)0x751b, (q15_t)0xcc55,
+  (q15_t)0x7519, (q15_t)0xcc50, (q15_t)0x7516, (q15_t)0xcc4a, (q15_t)0x7514, (q15_t)0xcc44, (q15_t)0x7511, (q15_t)0xcc3e,
+  (q15_t)0x750f, (q15_t)0xcc39, (q15_t)0x750c, (q15_t)0xcc33, (q15_t)0x7509, (q15_t)0xcc2d, (q15_t)0x7507, (q15_t)0xcc27,
+  (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x7502, (q15_t)0xcc1c, (q15_t)0x74ff, (q15_t)0xcc16, (q15_t)0x74fd, (q15_t)0xcc10,
+  (q15_t)0x74fa, (q15_t)0xcc0b, (q15_t)0x74f8, (q15_t)0xcc05, (q15_t)0x74f5, (q15_t)0xcbff, (q15_t)0x74f2, (q15_t)0xcbf9,
+  (q15_t)0x74f0, (q15_t)0xcbf4, (q15_t)0x74ed, (q15_t)0xcbee, (q15_t)0x74eb, (q15_t)0xcbe8, (q15_t)0x74e8, (q15_t)0xcbe2,
+  (q15_t)0x74e6, (q15_t)0xcbdd, (q15_t)0x74e3, (q15_t)0xcbd7, (q15_t)0x74e1, (q15_t)0xcbd1, (q15_t)0x74de, (q15_t)0xcbcb,
+  (q15_t)0x74db, (q15_t)0xcbc6, (q15_t)0x74d9, (q15_t)0xcbc0, (q15_t)0x74d6, (q15_t)0xcbba, (q15_t)0x74d4, (q15_t)0xcbb5,
+  (q15_t)0x74d1, (q15_t)0xcbaf, (q15_t)0x74cf, (q15_t)0xcba9, (q15_t)0x74cc, (q15_t)0xcba3, (q15_t)0x74c9, (q15_t)0xcb9e,
+  (q15_t)0x74c7, (q15_t)0xcb98, (q15_t)0x74c4, (q15_t)0xcb92, (q15_t)0x74c2, (q15_t)0xcb8c, (q15_t)0x74bf, (q15_t)0xcb87,
+  (q15_t)0x74bd, (q15_t)0xcb81, (q15_t)0x74ba, (q15_t)0xcb7b, (q15_t)0x74b7, (q15_t)0xcb75, (q15_t)0x74b5, (q15_t)0xcb70,
+  (q15_t)0x74b2, (q15_t)0xcb6a, (q15_t)0x74b0, (q15_t)0xcb64, (q15_t)0x74ad, (q15_t)0xcb5f, (q15_t)0x74ab, (q15_t)0xcb59,
+  (q15_t)0x74a8, (q15_t)0xcb53, (q15_t)0x74a5, (q15_t)0xcb4d, (q15_t)0x74a3, (q15_t)0xcb48, (q15_t)0x74a0, (q15_t)0xcb42,
+  (q15_t)0x749e, (q15_t)0xcb3c, (q15_t)0x749b, (q15_t)0xcb36, (q15_t)0x7498, (q15_t)0xcb31, (q15_t)0x7496, (q15_t)0xcb2b,
+  (q15_t)0x7493, (q15_t)0xcb25, (q15_t)0x7491, (q15_t)0xcb20, (q15_t)0x748e, (q15_t)0xcb1a, (q15_t)0x748b, (q15_t)0xcb14,
+  (q15_t)0x7489, (q15_t)0xcb0e, (q15_t)0x7486, (q15_t)0xcb09, (q15_t)0x7484, (q15_t)0xcb03, (q15_t)0x7481, (q15_t)0xcafd,
+  (q15_t)0x747e, (q15_t)0xcaf8, (q15_t)0x747c, (q15_t)0xcaf2, (q15_t)0x7479, (q15_t)0xcaec, (q15_t)0x7477, (q15_t)0xcae6,
+  (q15_t)0x7474, (q15_t)0xcae1, (q15_t)0x7471, (q15_t)0xcadb, (q15_t)0x746f, (q15_t)0xcad5, (q15_t)0x746c, (q15_t)0xcad0,
+  (q15_t)0x746a, (q15_t)0xcaca, (q15_t)0x7467, (q15_t)0xcac4, (q15_t)0x7464, (q15_t)0xcabe, (q15_t)0x7462, (q15_t)0xcab9,
+  (q15_t)0x745f, (q15_t)0xcab3, (q15_t)0x745c, (q15_t)0xcaad, (q15_t)0x745a, (q15_t)0xcaa8, (q15_t)0x7457, (q15_t)0xcaa2,
+  (q15_t)0x7455, (q15_t)0xca9c, (q15_t)0x7452, (q15_t)0xca96, (q15_t)0x744f, (q15_t)0xca91, (q15_t)0x744d, (q15_t)0xca8b,
+  (q15_t)0x744a, (q15_t)0xca85, (q15_t)0x7448, (q15_t)0xca80, (q15_t)0x7445, (q15_t)0xca7a, (q15_t)0x7442, (q15_t)0xca74,
+  (q15_t)0x7440, (q15_t)0xca6e, (q15_t)0x743d, (q15_t)0xca69, (q15_t)0x743a, (q15_t)0xca63, (q15_t)0x7438, (q15_t)0xca5d,
+  (q15_t)0x7435, (q15_t)0xca58, (q15_t)0x7432, (q15_t)0xca52, (q15_t)0x7430, (q15_t)0xca4c, (q15_t)0x742d, (q15_t)0xca46,
+  (q15_t)0x742b, (q15_t)0xca41, (q15_t)0x7428, (q15_t)0xca3b, (q15_t)0x7425, (q15_t)0xca35, (q15_t)0x7423, (q15_t)0xca30,
+  (q15_t)0x7420, (q15_t)0xca2a, (q15_t)0x741d, (q15_t)0xca24, (q15_t)0x741b, (q15_t)0xca1f, (q15_t)0x7418, (q15_t)0xca19,
+  (q15_t)0x7415, (q15_t)0xca13, (q15_t)0x7413, (q15_t)0xca0d, (q15_t)0x7410, (q15_t)0xca08, (q15_t)0x740d, (q15_t)0xca02,
+  (q15_t)0x740b, (q15_t)0xc9fc, (q15_t)0x7408, (q15_t)0xc9f7, (q15_t)0x7406, (q15_t)0xc9f1, (q15_t)0x7403, (q15_t)0xc9eb,
+  (q15_t)0x7400, (q15_t)0xc9e6, (q15_t)0x73fe, (q15_t)0xc9e0, (q15_t)0x73fb, (q15_t)0xc9da, (q15_t)0x73f8, (q15_t)0xc9d5,
+  (q15_t)0x73f6, (q15_t)0xc9cf, (q15_t)0x73f3, (q15_t)0xc9c9, (q15_t)0x73f0, (q15_t)0xc9c3, (q15_t)0x73ee, (q15_t)0xc9be,
+  (q15_t)0x73eb, (q15_t)0xc9b8, (q15_t)0x73e8, (q15_t)0xc9b2, (q15_t)0x73e6, (q15_t)0xc9ad, (q15_t)0x73e3, (q15_t)0xc9a7,
+  (q15_t)0x73e0, (q15_t)0xc9a1, (q15_t)0x73de, (q15_t)0xc99c, (q15_t)0x73db, (q15_t)0xc996, (q15_t)0x73d8, (q15_t)0xc990,
+  (q15_t)0x73d6, (q15_t)0xc98b, (q15_t)0x73d3, (q15_t)0xc985, (q15_t)0x73d0, (q15_t)0xc97f, (q15_t)0x73ce, (q15_t)0xc97a,
+  (q15_t)0x73cb, (q15_t)0xc974, (q15_t)0x73c8, (q15_t)0xc96e, (q15_t)0x73c6, (q15_t)0xc968, (q15_t)0x73c3, (q15_t)0xc963,
+  (q15_t)0x73c0, (q15_t)0xc95d, (q15_t)0x73bd, (q15_t)0xc957, (q15_t)0x73bb, (q15_t)0xc952, (q15_t)0x73b8, (q15_t)0xc94c,
+  (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x73b3, (q15_t)0xc941, (q15_t)0x73b0, (q15_t)0xc93b, (q15_t)0x73ad, (q15_t)0xc935,
+  (q15_t)0x73ab, (q15_t)0xc930, (q15_t)0x73a8, (q15_t)0xc92a, (q15_t)0x73a5, (q15_t)0xc924, (q15_t)0x73a3, (q15_t)0xc91f,
+  (q15_t)0x73a0, (q15_t)0xc919, (q15_t)0x739d, (q15_t)0xc913, (q15_t)0x739b, (q15_t)0xc90e, (q15_t)0x7398, (q15_t)0xc908,
+  (q15_t)0x7395, (q15_t)0xc902, (q15_t)0x7392, (q15_t)0xc8fd, (q15_t)0x7390, (q15_t)0xc8f7, (q15_t)0x738d, (q15_t)0xc8f1,
+  (q15_t)0x738a, (q15_t)0xc8ec, (q15_t)0x7388, (q15_t)0xc8e6, (q15_t)0x7385, (q15_t)0xc8e0, (q15_t)0x7382, (q15_t)0xc8db,
+  (q15_t)0x737f, (q15_t)0xc8d5, (q15_t)0x737d, (q15_t)0xc8cf, (q15_t)0x737a, (q15_t)0xc8ca, (q15_t)0x7377, (q15_t)0xc8c4,
+  (q15_t)0x7375, (q15_t)0xc8be, (q15_t)0x7372, (q15_t)0xc8b9, (q15_t)0x736f, (q15_t)0xc8b3, (q15_t)0x736c, (q15_t)0xc8ad,
+  (q15_t)0x736a, (q15_t)0xc8a8, (q15_t)0x7367, (q15_t)0xc8a2, (q15_t)0x7364, (q15_t)0xc89c, (q15_t)0x7362, (q15_t)0xc897,
+  (q15_t)0x735f, (q15_t)0xc891, (q15_t)0x735c, (q15_t)0xc88b, (q15_t)0x7359, (q15_t)0xc886, (q15_t)0x7357, (q15_t)0xc880,
+  (q15_t)0x7354, (q15_t)0xc87a, (q15_t)0x7351, (q15_t)0xc875, (q15_t)0x734f, (q15_t)0xc86f, (q15_t)0x734c, (q15_t)0xc869,
+  (q15_t)0x7349, (q15_t)0xc864, (q15_t)0x7346, (q15_t)0xc85e, (q15_t)0x7344, (q15_t)0xc858, (q15_t)0x7341, (q15_t)0xc853,
+  (q15_t)0x733e, (q15_t)0xc84d, (q15_t)0x733b, (q15_t)0xc847, (q15_t)0x7339, (q15_t)0xc842, (q15_t)0x7336, (q15_t)0xc83c,
+  (q15_t)0x7333, (q15_t)0xc836, (q15_t)0x7330, (q15_t)0xc831, (q15_t)0x732e, (q15_t)0xc82b, (q15_t)0x732b, (q15_t)0xc825,
+  (q15_t)0x7328, (q15_t)0xc820, (q15_t)0x7326, (q15_t)0xc81a, (q15_t)0x7323, (q15_t)0xc814, (q15_t)0x7320, (q15_t)0xc80f,
+  (q15_t)0x731d, (q15_t)0xc809, (q15_t)0x731b, (q15_t)0xc803, (q15_t)0x7318, (q15_t)0xc7fe, (q15_t)0x7315, (q15_t)0xc7f8,
+  (q15_t)0x7312, (q15_t)0xc7f3, (q15_t)0x7310, (q15_t)0xc7ed, (q15_t)0x730d, (q15_t)0xc7e7, (q15_t)0x730a, (q15_t)0xc7e2,
+  (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x7305, (q15_t)0xc7d6, (q15_t)0x7302, (q15_t)0xc7d1, (q15_t)0x72ff, (q15_t)0xc7cb,
+  (q15_t)0x72fc, (q15_t)0xc7c5, (q15_t)0x72f9, (q15_t)0xc7c0, (q15_t)0x72f7, (q15_t)0xc7ba, (q15_t)0x72f4, (q15_t)0xc7b4,
+  (q15_t)0x72f1, (q15_t)0xc7af, (q15_t)0x72ee, (q15_t)0xc7a9, (q15_t)0x72ec, (q15_t)0xc7a3, (q15_t)0x72e9, (q15_t)0xc79e,
+  (q15_t)0x72e6, (q15_t)0xc798, (q15_t)0x72e3, (q15_t)0xc793, (q15_t)0x72e1, (q15_t)0xc78d, (q15_t)0x72de, (q15_t)0xc787,
+  (q15_t)0x72db, (q15_t)0xc782, (q15_t)0x72d8, (q15_t)0xc77c, (q15_t)0x72d5, (q15_t)0xc776, (q15_t)0x72d3, (q15_t)0xc771,
+  (q15_t)0x72d0, (q15_t)0xc76b, (q15_t)0x72cd, (q15_t)0xc765, (q15_t)0x72ca, (q15_t)0xc760, (q15_t)0x72c8, (q15_t)0xc75a,
+  (q15_t)0x72c5, (q15_t)0xc755, (q15_t)0x72c2, (q15_t)0xc74f, (q15_t)0x72bf, (q15_t)0xc749, (q15_t)0x72bc, (q15_t)0xc744,
+  (q15_t)0x72ba, (q15_t)0xc73e, (q15_t)0x72b7, (q15_t)0xc738, (q15_t)0x72b4, (q15_t)0xc733, (q15_t)0x72b1, (q15_t)0xc72d,
+  (q15_t)0x72af, (q15_t)0xc728, (q15_t)0x72ac, (q15_t)0xc722, (q15_t)0x72a9, (q15_t)0xc71c, (q15_t)0x72a6, (q15_t)0xc717,
+  (q15_t)0x72a3, (q15_t)0xc711, (q15_t)0x72a1, (q15_t)0xc70b, (q15_t)0x729e, (q15_t)0xc706, (q15_t)0x729b, (q15_t)0xc700,
+  (q15_t)0x7298, (q15_t)0xc6fa, (q15_t)0x7295, (q15_t)0xc6f5, (q15_t)0x7293, (q15_t)0xc6ef, (q15_t)0x7290, (q15_t)0xc6ea,
+  (q15_t)0x728d, (q15_t)0xc6e4, (q15_t)0x728a, (q15_t)0xc6de, (q15_t)0x7287, (q15_t)0xc6d9, (q15_t)0x7285, (q15_t)0xc6d3,
+  (q15_t)0x7282, (q15_t)0xc6ce, (q15_t)0x727f, (q15_t)0xc6c8, (q15_t)0x727c, (q15_t)0xc6c2, (q15_t)0x7279, (q15_t)0xc6bd,
+  (q15_t)0x7276, (q15_t)0xc6b7, (q15_t)0x7274, (q15_t)0xc6b1, (q15_t)0x7271, (q15_t)0xc6ac, (q15_t)0x726e, (q15_t)0xc6a6,
+  (q15_t)0x726b, (q15_t)0xc6a1, (q15_t)0x7268, (q15_t)0xc69b, (q15_t)0x7266, (q15_t)0xc695, (q15_t)0x7263, (q15_t)0xc690,
+  (q15_t)0x7260, (q15_t)0xc68a, (q15_t)0x725d, (q15_t)0xc684, (q15_t)0x725a, (q15_t)0xc67f, (q15_t)0x7257, (q15_t)0xc679,
+  (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x7252, (q15_t)0xc66e, (q15_t)0x724f, (q15_t)0xc668, (q15_t)0x724c, (q15_t)0xc663,
+  (q15_t)0x7249, (q15_t)0xc65d, (q15_t)0x7247, (q15_t)0xc658, (q15_t)0x7244, (q15_t)0xc652, (q15_t)0x7241, (q15_t)0xc64c,
+  (q15_t)0x723e, (q15_t)0xc647, (q15_t)0x723b, (q15_t)0xc641, (q15_t)0x7238, (q15_t)0xc63c, (q15_t)0x7236, (q15_t)0xc636,
+  (q15_t)0x7233, (q15_t)0xc630, (q15_t)0x7230, (q15_t)0xc62b, (q15_t)0x722d, (q15_t)0xc625, (q15_t)0x722a, (q15_t)0xc620,
+  (q15_t)0x7227, (q15_t)0xc61a, (q15_t)0x7224, (q15_t)0xc614, (q15_t)0x7222, (q15_t)0xc60f, (q15_t)0x721f, (q15_t)0xc609,
+  (q15_t)0x721c, (q15_t)0xc603, (q15_t)0x7219, (q15_t)0xc5fe, (q15_t)0x7216, (q15_t)0xc5f8, (q15_t)0x7213, (q15_t)0xc5f3,
+  (q15_t)0x7211, (q15_t)0xc5ed, (q15_t)0x720e, (q15_t)0xc5e7, (q15_t)0x720b, (q15_t)0xc5e2, (q15_t)0x7208, (q15_t)0xc5dc,
+  (q15_t)0x7205, (q15_t)0xc5d7, (q15_t)0x7202, (q15_t)0xc5d1, (q15_t)0x71ff, (q15_t)0xc5cc, (q15_t)0x71fd, (q15_t)0xc5c6,
+  (q15_t)0x71fa, (q15_t)0xc5c0, (q15_t)0x71f7, (q15_t)0xc5bb, (q15_t)0x71f4, (q15_t)0xc5b5, (q15_t)0x71f1, (q15_t)0xc5b0,
+  (q15_t)0x71ee, (q15_t)0xc5aa, (q15_t)0x71eb, (q15_t)0xc5a4, (q15_t)0x71e9, (q15_t)0xc59f, (q15_t)0x71e6, (q15_t)0xc599,
+  (q15_t)0x71e3, (q15_t)0xc594, (q15_t)0x71e0, (q15_t)0xc58e, (q15_t)0x71dd, (q15_t)0xc588, (q15_t)0x71da, (q15_t)0xc583,
+  (q15_t)0x71d7, (q15_t)0xc57d, (q15_t)0x71d4, (q15_t)0xc578, (q15_t)0x71d2, (q15_t)0xc572, (q15_t)0x71cf, (q15_t)0xc56c,
+  (q15_t)0x71cc, (q15_t)0xc567, (q15_t)0x71c9, (q15_t)0xc561, (q15_t)0x71c6, (q15_t)0xc55c, (q15_t)0x71c3, (q15_t)0xc556,
+  (q15_t)0x71c0, (q15_t)0xc551, (q15_t)0x71bd, (q15_t)0xc54b, (q15_t)0x71bb, (q15_t)0xc545, (q15_t)0x71b8, (q15_t)0xc540,
+  (q15_t)0x71b5, (q15_t)0xc53a, (q15_t)0x71b2, (q15_t)0xc535, (q15_t)0x71af, (q15_t)0xc52f, (q15_t)0x71ac, (q15_t)0xc529,
+  (q15_t)0x71a9, (q15_t)0xc524, (q15_t)0x71a6, (q15_t)0xc51e, (q15_t)0x71a3, (q15_t)0xc519, (q15_t)0x71a1, (q15_t)0xc513,
+  (q15_t)0x719e, (q15_t)0xc50e, (q15_t)0x719b, (q15_t)0xc508, (q15_t)0x7198, (q15_t)0xc502, (q15_t)0x7195, (q15_t)0xc4fd,
+  (q15_t)0x7192, (q15_t)0xc4f7, (q15_t)0x718f, (q15_t)0xc4f2, (q15_t)0x718c, (q15_t)0xc4ec, (q15_t)0x7189, (q15_t)0xc4e7,
+  (q15_t)0x7186, (q15_t)0xc4e1, (q15_t)0x7184, (q15_t)0xc4db, (q15_t)0x7181, (q15_t)0xc4d6, (q15_t)0x717e, (q15_t)0xc4d0,
+  (q15_t)0x717b, (q15_t)0xc4cb, (q15_t)0x7178, (q15_t)0xc4c5, (q15_t)0x7175, (q15_t)0xc4c0, (q15_t)0x7172, (q15_t)0xc4ba,
+  (q15_t)0x716f, (q15_t)0xc4b4, (q15_t)0x716c, (q15_t)0xc4af, (q15_t)0x7169, (q15_t)0xc4a9, (q15_t)0x7167, (q15_t)0xc4a4,
+  (q15_t)0x7164, (q15_t)0xc49e, (q15_t)0x7161, (q15_t)0xc499, (q15_t)0x715e, (q15_t)0xc493, (q15_t)0x715b, (q15_t)0xc48d,
+  (q15_t)0x7158, (q15_t)0xc488, (q15_t)0x7155, (q15_t)0xc482, (q15_t)0x7152, (q15_t)0xc47d, (q15_t)0x714f, (q15_t)0xc477,
+  (q15_t)0x714c, (q15_t)0xc472, (q15_t)0x7149, (q15_t)0xc46c, (q15_t)0x7146, (q15_t)0xc467, (q15_t)0x7143, (q15_t)0xc461,
+  (q15_t)0x7141, (q15_t)0xc45b, (q15_t)0x713e, (q15_t)0xc456, (q15_t)0x713b, (q15_t)0xc450, (q15_t)0x7138, (q15_t)0xc44b,
+  (q15_t)0x7135, (q15_t)0xc445, (q15_t)0x7132, (q15_t)0xc440, (q15_t)0x712f, (q15_t)0xc43a, (q15_t)0x712c, (q15_t)0xc434,
+  (q15_t)0x7129, (q15_t)0xc42f, (q15_t)0x7126, (q15_t)0xc429, (q15_t)0x7123, (q15_t)0xc424, (q15_t)0x7120, (q15_t)0xc41e,
+  (q15_t)0x711d, (q15_t)0xc419, (q15_t)0x711a, (q15_t)0xc413, (q15_t)0x7117, (q15_t)0xc40e, (q15_t)0x7114, (q15_t)0xc408,
+  (q15_t)0x7112, (q15_t)0xc403, (q15_t)0x710f, (q15_t)0xc3fd, (q15_t)0x710c, (q15_t)0xc3f7, (q15_t)0x7109, (q15_t)0xc3f2,
+  (q15_t)0x7106, (q15_t)0xc3ec, (q15_t)0x7103, (q15_t)0xc3e7, (q15_t)0x7100, (q15_t)0xc3e1, (q15_t)0x70fd, (q15_t)0xc3dc,
+  (q15_t)0x70fa, (q15_t)0xc3d6, (q15_t)0x70f7, (q15_t)0xc3d1, (q15_t)0x70f4, (q15_t)0xc3cb, (q15_t)0x70f1, (q15_t)0xc3c5,
+  (q15_t)0x70ee, (q15_t)0xc3c0, (q15_t)0x70eb, (q15_t)0xc3ba, (q15_t)0x70e8, (q15_t)0xc3b5, (q15_t)0x70e5, (q15_t)0xc3af,
+  (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x70df, (q15_t)0xc3a4, (q15_t)0x70dc, (q15_t)0xc39f, (q15_t)0x70d9, (q15_t)0xc399,
+  (q15_t)0x70d6, (q15_t)0xc394, (q15_t)0x70d3, (q15_t)0xc38e, (q15_t)0x70d1, (q15_t)0xc389, (q15_t)0x70ce, (q15_t)0xc383,
+  (q15_t)0x70cb, (q15_t)0xc37d, (q15_t)0x70c8, (q15_t)0xc378, (q15_t)0x70c5, (q15_t)0xc372, (q15_t)0x70c2, (q15_t)0xc36d,
+  (q15_t)0x70bf, (q15_t)0xc367, (q15_t)0x70bc, (q15_t)0xc362, (q15_t)0x70b9, (q15_t)0xc35c, (q15_t)0x70b6, (q15_t)0xc357,
+  (q15_t)0x70b3, (q15_t)0xc351, (q15_t)0x70b0, (q15_t)0xc34c, (q15_t)0x70ad, (q15_t)0xc346, (q15_t)0x70aa, (q15_t)0xc341,
+  (q15_t)0x70a7, (q15_t)0xc33b, (q15_t)0x70a4, (q15_t)0xc336, (q15_t)0x70a1, (q15_t)0xc330, (q15_t)0x709e, (q15_t)0xc32a,
+  (q15_t)0x709b, (q15_t)0xc325, (q15_t)0x7098, (q15_t)0xc31f, (q15_t)0x7095, (q15_t)0xc31a, (q15_t)0x7092, (q15_t)0xc314,
+  (q15_t)0x708f, (q15_t)0xc30f, (q15_t)0x708c, (q15_t)0xc309, (q15_t)0x7089, (q15_t)0xc304, (q15_t)0x7086, (q15_t)0xc2fe,
+  (q15_t)0x7083, (q15_t)0xc2f9, (q15_t)0x7080, (q15_t)0xc2f3, (q15_t)0x707d, (q15_t)0xc2ee, (q15_t)0x707a, (q15_t)0xc2e8,
+  (q15_t)0x7077, (q15_t)0xc2e3, (q15_t)0x7074, (q15_t)0xc2dd, (q15_t)0x7071, (q15_t)0xc2d8, (q15_t)0x706e, (q15_t)0xc2d2,
+  (q15_t)0x706b, (q15_t)0xc2cd, (q15_t)0x7068, (q15_t)0xc2c7, (q15_t)0x7065, (q15_t)0xc2c2, (q15_t)0x7062, (q15_t)0xc2bc,
+  (q15_t)0x705f, (q15_t)0xc2b7, (q15_t)0x705c, (q15_t)0xc2b1, (q15_t)0x7059, (q15_t)0xc2ab, (q15_t)0x7056, (q15_t)0xc2a6,
+  (q15_t)0x7053, (q15_t)0xc2a0, (q15_t)0x7050, (q15_t)0xc29b, (q15_t)0x704d, (q15_t)0xc295, (q15_t)0x704a, (q15_t)0xc290,
+  (q15_t)0x7047, (q15_t)0xc28a, (q15_t)0x7044, (q15_t)0xc285, (q15_t)0x7041, (q15_t)0xc27f, (q15_t)0x703e, (q15_t)0xc27a,
+  (q15_t)0x703b, (q15_t)0xc274, (q15_t)0x7038, (q15_t)0xc26f, (q15_t)0x7035, (q15_t)0xc269, (q15_t)0x7032, (q15_t)0xc264,
+  (q15_t)0x702f, (q15_t)0xc25e, (q15_t)0x702c, (q15_t)0xc259, (q15_t)0x7029, (q15_t)0xc253, (q15_t)0x7026, (q15_t)0xc24e,
+  (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x7020, (q15_t)0xc243, (q15_t)0x701d, (q15_t)0xc23d, (q15_t)0x7019, (q15_t)0xc238,
+  (q15_t)0x7016, (q15_t)0xc232, (q15_t)0x7013, (q15_t)0xc22d, (q15_t)0x7010, (q15_t)0xc227, (q15_t)0x700d, (q15_t)0xc222,
+  (q15_t)0x700a, (q15_t)0xc21c, (q15_t)0x7007, (q15_t)0xc217, (q15_t)0x7004, (q15_t)0xc211, (q15_t)0x7001, (q15_t)0xc20c,
+  (q15_t)0x6ffe, (q15_t)0xc206, (q15_t)0x6ffb, (q15_t)0xc201, (q15_t)0x6ff8, (q15_t)0xc1fb, (q15_t)0x6ff5, (q15_t)0xc1f6,
+  (q15_t)0x6ff2, (q15_t)0xc1f0, (q15_t)0x6fef, (q15_t)0xc1eb, (q15_t)0x6fec, (q15_t)0xc1e5, (q15_t)0x6fe9, (q15_t)0xc1e0,
+  (q15_t)0x6fe6, (q15_t)0xc1da, (q15_t)0x6fe3, (q15_t)0xc1d5, (q15_t)0x6fe0, (q15_t)0xc1cf, (q15_t)0x6fdd, (q15_t)0xc1ca,
+  (q15_t)0x6fda, (q15_t)0xc1c4, (q15_t)0x6fd6, (q15_t)0xc1bf, (q15_t)0x6fd3, (q15_t)0xc1b9, (q15_t)0x6fd0, (q15_t)0xc1b4,
+  (q15_t)0x6fcd, (q15_t)0xc1ae, (q15_t)0x6fca, (q15_t)0xc1a9, (q15_t)0x6fc7, (q15_t)0xc1a3, (q15_t)0x6fc4, (q15_t)0xc19e,
+  (q15_t)0x6fc1, (q15_t)0xc198, (q15_t)0x6fbe, (q15_t)0xc193, (q15_t)0x6fbb, (q15_t)0xc18d, (q15_t)0x6fb8, (q15_t)0xc188,
+  (q15_t)0x6fb5, (q15_t)0xc183, (q15_t)0x6fb2, (q15_t)0xc17d, (q15_t)0x6faf, (q15_t)0xc178, (q15_t)0x6fac, (q15_t)0xc172,
+  (q15_t)0x6fa9, (q15_t)0xc16d, (q15_t)0x6fa5, (q15_t)0xc167, (q15_t)0x6fa2, (q15_t)0xc162, (q15_t)0x6f9f, (q15_t)0xc15c,
+  (q15_t)0x6f9c, (q15_t)0xc157, (q15_t)0x6f99, (q15_t)0xc151, (q15_t)0x6f96, (q15_t)0xc14c, (q15_t)0x6f93, (q15_t)0xc146,
+  (q15_t)0x6f90, (q15_t)0xc141, (q15_t)0x6f8d, (q15_t)0xc13b, (q15_t)0x6f8a, (q15_t)0xc136, (q15_t)0x6f87, (q15_t)0xc130,
+  (q15_t)0x6f84, (q15_t)0xc12b, (q15_t)0x6f81, (q15_t)0xc125, (q15_t)0x6f7d, (q15_t)0xc120, (q15_t)0x6f7a, (q15_t)0xc11a,
+  (q15_t)0x6f77, (q15_t)0xc115, (q15_t)0x6f74, (q15_t)0xc10f, (q15_t)0x6f71, (q15_t)0xc10a, (q15_t)0x6f6e, (q15_t)0xc105,
+  (q15_t)0x6f6b, (q15_t)0xc0ff, (q15_t)0x6f68, (q15_t)0xc0fa, (q15_t)0x6f65, (q15_t)0xc0f4, (q15_t)0x6f62, (q15_t)0xc0ef,
+  (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6f5b, (q15_t)0xc0e4, (q15_t)0x6f58, (q15_t)0xc0de, (q15_t)0x6f55, (q15_t)0xc0d9,
+  (q15_t)0x6f52, (q15_t)0xc0d3, (q15_t)0x6f4f, (q15_t)0xc0ce, (q15_t)0x6f4c, (q15_t)0xc0c8, (q15_t)0x6f49, (q15_t)0xc0c3,
+  (q15_t)0x6f46, (q15_t)0xc0bd, (q15_t)0x6f43, (q15_t)0xc0b8, (q15_t)0x6f3f, (q15_t)0xc0b3, (q15_t)0x6f3c, (q15_t)0xc0ad,
+  (q15_t)0x6f39, (q15_t)0xc0a8, (q15_t)0x6f36, (q15_t)0xc0a2, (q15_t)0x6f33, (q15_t)0xc09d, (q15_t)0x6f30, (q15_t)0xc097,
+  (q15_t)0x6f2d, (q15_t)0xc092, (q15_t)0x6f2a, (q15_t)0xc08c, (q15_t)0x6f27, (q15_t)0xc087, (q15_t)0x6f23, (q15_t)0xc081,
+  (q15_t)0x6f20, (q15_t)0xc07c, (q15_t)0x6f1d, (q15_t)0xc077, (q15_t)0x6f1a, (q15_t)0xc071, (q15_t)0x6f17, (q15_t)0xc06c,
+  (q15_t)0x6f14, (q15_t)0xc066, (q15_t)0x6f11, (q15_t)0xc061, (q15_t)0x6f0e, (q15_t)0xc05b, (q15_t)0x6f0b, (q15_t)0xc056,
+  (q15_t)0x6f07, (q15_t)0xc050, (q15_t)0x6f04, (q15_t)0xc04b, (q15_t)0x6f01, (q15_t)0xc045, (q15_t)0x6efe, (q15_t)0xc040,
+  (q15_t)0x6efb, (q15_t)0xc03b, (q15_t)0x6ef8, (q15_t)0xc035, (q15_t)0x6ef5, (q15_t)0xc030, (q15_t)0x6ef1, (q15_t)0xc02a,
+  (q15_t)0x6eee, (q15_t)0xc025, (q15_t)0x6eeb, (q15_t)0xc01f, (q15_t)0x6ee8, (q15_t)0xc01a, (q15_t)0x6ee5, (q15_t)0xc014,
+  (q15_t)0x6ee2, (q15_t)0xc00f, (q15_t)0x6edf, (q15_t)0xc00a, (q15_t)0x6edc, (q15_t)0xc004, (q15_t)0x6ed8, (q15_t)0xbfff,
+  (q15_t)0x6ed5, (q15_t)0xbff9, (q15_t)0x6ed2, (q15_t)0xbff4, (q15_t)0x6ecf, (q15_t)0xbfee, (q15_t)0x6ecc, (q15_t)0xbfe9,
+  (q15_t)0x6ec9, (q15_t)0xbfe3, (q15_t)0x6ec6, (q15_t)0xbfde, (q15_t)0x6ec2, (q15_t)0xbfd9, (q15_t)0x6ebf, (q15_t)0xbfd3,
+  (q15_t)0x6ebc, (q15_t)0xbfce, (q15_t)0x6eb9, (q15_t)0xbfc8, (q15_t)0x6eb6, (q15_t)0xbfc3, (q15_t)0x6eb3, (q15_t)0xbfbd,
+  (q15_t)0x6eaf, (q15_t)0xbfb8, (q15_t)0x6eac, (q15_t)0xbfb3, (q15_t)0x6ea9, (q15_t)0xbfad, (q15_t)0x6ea6, (q15_t)0xbfa8,
+  (q15_t)0x6ea3, (q15_t)0xbfa2, (q15_t)0x6ea0, (q15_t)0xbf9d, (q15_t)0x6e9c, (q15_t)0xbf97, (q15_t)0x6e99, (q15_t)0xbf92,
+  (q15_t)0x6e96, (q15_t)0xbf8d, (q15_t)0x6e93, (q15_t)0xbf87, (q15_t)0x6e90, (q15_t)0xbf82, (q15_t)0x6e8d, (q15_t)0xbf7c,
+  (q15_t)0x6e89, (q15_t)0xbf77, (q15_t)0x6e86, (q15_t)0xbf71, (q15_t)0x6e83, (q15_t)0xbf6c, (q15_t)0x6e80, (q15_t)0xbf67,
+  (q15_t)0x6e7d, (q15_t)0xbf61, (q15_t)0x6e7a, (q15_t)0xbf5c, (q15_t)0x6e76, (q15_t)0xbf56, (q15_t)0x6e73, (q15_t)0xbf51,
+  (q15_t)0x6e70, (q15_t)0xbf4b, (q15_t)0x6e6d, (q15_t)0xbf46, (q15_t)0x6e6a, (q15_t)0xbf41, (q15_t)0x6e67, (q15_t)0xbf3b,
+  (q15_t)0x6e63, (q15_t)0xbf36, (q15_t)0x6e60, (q15_t)0xbf30, (q15_t)0x6e5d, (q15_t)0xbf2b, (q15_t)0x6e5a, (q15_t)0xbf26,
+  (q15_t)0x6e57, (q15_t)0xbf20, (q15_t)0x6e53, (q15_t)0xbf1b, (q15_t)0x6e50, (q15_t)0xbf15, (q15_t)0x6e4d, (q15_t)0xbf10,
+  (q15_t)0x6e4a, (q15_t)0xbf0a, (q15_t)0x6e47, (q15_t)0xbf05, (q15_t)0x6e44, (q15_t)0xbf00, (q15_t)0x6e40, (q15_t)0xbefa,
+  (q15_t)0x6e3d, (q15_t)0xbef5, (q15_t)0x6e3a, (q15_t)0xbeef, (q15_t)0x6e37, (q15_t)0xbeea, (q15_t)0x6e34, (q15_t)0xbee5,
+  (q15_t)0x6e30, (q15_t)0xbedf, (q15_t)0x6e2d, (q15_t)0xbeda, (q15_t)0x6e2a, (q15_t)0xbed4, (q15_t)0x6e27, (q15_t)0xbecf,
+  (q15_t)0x6e24, (q15_t)0xbeca, (q15_t)0x6e20, (q15_t)0xbec4, (q15_t)0x6e1d, (q15_t)0xbebf, (q15_t)0x6e1a, (q15_t)0xbeb9,
+  (q15_t)0x6e17, (q15_t)0xbeb4, (q15_t)0x6e14, (q15_t)0xbeae, (q15_t)0x6e10, (q15_t)0xbea9, (q15_t)0x6e0d, (q15_t)0xbea4,
+  (q15_t)0x6e0a, (q15_t)0xbe9e, (q15_t)0x6e07, (q15_t)0xbe99, (q15_t)0x6e04, (q15_t)0xbe93, (q15_t)0x6e00, (q15_t)0xbe8e,
+  (q15_t)0x6dfd, (q15_t)0xbe89, (q15_t)0x6dfa, (q15_t)0xbe83, (q15_t)0x6df7, (q15_t)0xbe7e, (q15_t)0x6df3, (q15_t)0xbe78,
+  (q15_t)0x6df0, (q15_t)0xbe73, (q15_t)0x6ded, (q15_t)0xbe6e, (q15_t)0x6dea, (q15_t)0xbe68, (q15_t)0x6de7, (q15_t)0xbe63,
+  (q15_t)0x6de3, (q15_t)0xbe5e, (q15_t)0x6de0, (q15_t)0xbe58, (q15_t)0x6ddd, (q15_t)0xbe53, (q15_t)0x6dda, (q15_t)0xbe4d,
+  (q15_t)0x6dd6, (q15_t)0xbe48, (q15_t)0x6dd3, (q15_t)0xbe43, (q15_t)0x6dd0, (q15_t)0xbe3d, (q15_t)0x6dcd, (q15_t)0xbe38,
+  (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6dc6, (q15_t)0xbe2d, (q15_t)0x6dc3, (q15_t)0xbe28, (q15_t)0x6dc0, (q15_t)0xbe22,
+  (q15_t)0x6dbd, (q15_t)0xbe1d, (q15_t)0x6db9, (q15_t)0xbe17, (q15_t)0x6db6, (q15_t)0xbe12, (q15_t)0x6db3, (q15_t)0xbe0d,
+  (q15_t)0x6db0, (q15_t)0xbe07, (q15_t)0x6dac, (q15_t)0xbe02, (q15_t)0x6da9, (q15_t)0xbdfd, (q15_t)0x6da6, (q15_t)0xbdf7,
+  (q15_t)0x6da3, (q15_t)0xbdf2, (q15_t)0x6d9f, (q15_t)0xbdec, (q15_t)0x6d9c, (q15_t)0xbde7, (q15_t)0x6d99, (q15_t)0xbde2,
+  (q15_t)0x6d96, (q15_t)0xbddc, (q15_t)0x6d92, (q15_t)0xbdd7, (q15_t)0x6d8f, (q15_t)0xbdd1, (q15_t)0x6d8c, (q15_t)0xbdcc,
+  (q15_t)0x6d89, (q15_t)0xbdc7, (q15_t)0x6d85, (q15_t)0xbdc1, (q15_t)0x6d82, (q15_t)0xbdbc, (q15_t)0x6d7f, (q15_t)0xbdb7,
+  (q15_t)0x6d7c, (q15_t)0xbdb1, (q15_t)0x6d78, (q15_t)0xbdac, (q15_t)0x6d75, (q15_t)0xbda6, (q15_t)0x6d72, (q15_t)0xbda1,
+  (q15_t)0x6d6f, (q15_t)0xbd9c, (q15_t)0x6d6b, (q15_t)0xbd96, (q15_t)0x6d68, (q15_t)0xbd91, (q15_t)0x6d65, (q15_t)0xbd8c,
+  (q15_t)0x6d62, (q15_t)0xbd86, (q15_t)0x6d5e, (q15_t)0xbd81, (q15_t)0x6d5b, (q15_t)0xbd7c, (q15_t)0x6d58, (q15_t)0xbd76,
+  (q15_t)0x6d55, (q15_t)0xbd71, (q15_t)0x6d51, (q15_t)0xbd6b, (q15_t)0x6d4e, (q15_t)0xbd66, (q15_t)0x6d4b, (q15_t)0xbd61,
+  (q15_t)0x6d48, (q15_t)0xbd5b, (q15_t)0x6d44, (q15_t)0xbd56, (q15_t)0x6d41, (q15_t)0xbd51, (q15_t)0x6d3e, (q15_t)0xbd4b,
+  (q15_t)0x6d3a, (q15_t)0xbd46, (q15_t)0x6d37, (q15_t)0xbd40, (q15_t)0x6d34, (q15_t)0xbd3b, (q15_t)0x6d31, (q15_t)0xbd36,
+  (q15_t)0x6d2d, (q15_t)0xbd30, (q15_t)0x6d2a, (q15_t)0xbd2b, (q15_t)0x6d27, (q15_t)0xbd26, (q15_t)0x6d23, (q15_t)0xbd20,
+  (q15_t)0x6d20, (q15_t)0xbd1b, (q15_t)0x6d1d, (q15_t)0xbd16, (q15_t)0x6d1a, (q15_t)0xbd10, (q15_t)0x6d16, (q15_t)0xbd0b,
+  (q15_t)0x6d13, (q15_t)0xbd06, (q15_t)0x6d10, (q15_t)0xbd00, (q15_t)0x6d0c, (q15_t)0xbcfb, (q15_t)0x6d09, (q15_t)0xbcf5,
+  (q15_t)0x6d06, (q15_t)0xbcf0, (q15_t)0x6d03, (q15_t)0xbceb, (q15_t)0x6cff, (q15_t)0xbce5, (q15_t)0x6cfc, (q15_t)0xbce0,
+  (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6cf5, (q15_t)0xbcd5, (q15_t)0x6cf2, (q15_t)0xbcd0, (q15_t)0x6cef, (q15_t)0xbccb,
+  (q15_t)0x6cec, (q15_t)0xbcc5, (q15_t)0x6ce8, (q15_t)0xbcc0, (q15_t)0x6ce5, (q15_t)0xbcbb, (q15_t)0x6ce2, (q15_t)0xbcb5,
+  (q15_t)0x6cde, (q15_t)0xbcb0, (q15_t)0x6cdb, (q15_t)0xbcab, (q15_t)0x6cd8, (q15_t)0xbca5, (q15_t)0x6cd4, (q15_t)0xbca0,
+  (q15_t)0x6cd1, (q15_t)0xbc9b, (q15_t)0x6cce, (q15_t)0xbc95, (q15_t)0x6cca, (q15_t)0xbc90, (q15_t)0x6cc7, (q15_t)0xbc8b,
+  (q15_t)0x6cc4, (q15_t)0xbc85, (q15_t)0x6cc1, (q15_t)0xbc80, (q15_t)0x6cbd, (q15_t)0xbc7b, (q15_t)0x6cba, (q15_t)0xbc75,
+  (q15_t)0x6cb7, (q15_t)0xbc70, (q15_t)0x6cb3, (q15_t)0xbc6b, (q15_t)0x6cb0, (q15_t)0xbc65, (q15_t)0x6cad, (q15_t)0xbc60,
+  (q15_t)0x6ca9, (q15_t)0xbc5b, (q15_t)0x6ca6, (q15_t)0xbc55, (q15_t)0x6ca3, (q15_t)0xbc50, (q15_t)0x6c9f, (q15_t)0xbc4b,
+  (q15_t)0x6c9c, (q15_t)0xbc45, (q15_t)0x6c99, (q15_t)0xbc40, (q15_t)0x6c95, (q15_t)0xbc3b, (q15_t)0x6c92, (q15_t)0xbc35,
+  (q15_t)0x6c8f, (q15_t)0xbc30, (q15_t)0x6c8b, (q15_t)0xbc2b, (q15_t)0x6c88, (q15_t)0xbc25, (q15_t)0x6c85, (q15_t)0xbc20,
+  (q15_t)0x6c81, (q15_t)0xbc1b, (q15_t)0x6c7e, (q15_t)0xbc15, (q15_t)0x6c7b, (q15_t)0xbc10, (q15_t)0x6c77, (q15_t)0xbc0b,
+  (q15_t)0x6c74, (q15_t)0xbc05, (q15_t)0x6c71, (q15_t)0xbc00, (q15_t)0x6c6d, (q15_t)0xbbfb, (q15_t)0x6c6a, (q15_t)0xbbf5,
+  (q15_t)0x6c67, (q15_t)0xbbf0, (q15_t)0x6c63, (q15_t)0xbbeb, (q15_t)0x6c60, (q15_t)0xbbe5, (q15_t)0x6c5d, (q15_t)0xbbe0,
+  (q15_t)0x6c59, (q15_t)0xbbdb, (q15_t)0x6c56, (q15_t)0xbbd5, (q15_t)0x6c53, (q15_t)0xbbd0, (q15_t)0x6c4f, (q15_t)0xbbcb,
+  (q15_t)0x6c4c, (q15_t)0xbbc5, (q15_t)0x6c49, (q15_t)0xbbc0, (q15_t)0x6c45, (q15_t)0xbbbb, (q15_t)0x6c42, (q15_t)0xbbb5,
+  (q15_t)0x6c3f, (q15_t)0xbbb0, (q15_t)0x6c3b, (q15_t)0xbbab, (q15_t)0x6c38, (q15_t)0xbba6, (q15_t)0x6c34, (q15_t)0xbba0,
+  (q15_t)0x6c31, (q15_t)0xbb9b, (q15_t)0x6c2e, (q15_t)0xbb96, (q15_t)0x6c2a, (q15_t)0xbb90, (q15_t)0x6c27, (q15_t)0xbb8b,
+  (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6c20, (q15_t)0xbb80, (q15_t)0x6c1d, (q15_t)0xbb7b, (q15_t)0x6c1a, (q15_t)0xbb76,
+  (q15_t)0x6c16, (q15_t)0xbb70, (q15_t)0x6c13, (q15_t)0xbb6b, (q15_t)0x6c0f, (q15_t)0xbb66, (q15_t)0x6c0c, (q15_t)0xbb61,
+  (q15_t)0x6c09, (q15_t)0xbb5b, (q15_t)0x6c05, (q15_t)0xbb56, (q15_t)0x6c02, (q15_t)0xbb51, (q15_t)0x6bff, (q15_t)0xbb4b,
+  (q15_t)0x6bfb, (q15_t)0xbb46, (q15_t)0x6bf8, (q15_t)0xbb41, (q15_t)0x6bf5, (q15_t)0xbb3b, (q15_t)0x6bf1, (q15_t)0xbb36,
+  (q15_t)0x6bee, (q15_t)0xbb31, (q15_t)0x6bea, (q15_t)0xbb2c, (q15_t)0x6be7, (q15_t)0xbb26, (q15_t)0x6be4, (q15_t)0xbb21,
+  (q15_t)0x6be0, (q15_t)0xbb1c, (q15_t)0x6bdd, (q15_t)0xbb16, (q15_t)0x6bd9, (q15_t)0xbb11, (q15_t)0x6bd6, (q15_t)0xbb0c,
+  (q15_t)0x6bd3, (q15_t)0xbb06, (q15_t)0x6bcf, (q15_t)0xbb01, (q15_t)0x6bcc, (q15_t)0xbafc, (q15_t)0x6bc9, (q15_t)0xbaf7,
+  (q15_t)0x6bc5, (q15_t)0xbaf1, (q15_t)0x6bc2, (q15_t)0xbaec, (q15_t)0x6bbe, (q15_t)0xbae7, (q15_t)0x6bbb, (q15_t)0xbae1,
+  (q15_t)0x6bb8, (q15_t)0xbadc, (q15_t)0x6bb4, (q15_t)0xbad7, (q15_t)0x6bb1, (q15_t)0xbad2, (q15_t)0x6bad, (q15_t)0xbacc,
+  (q15_t)0x6baa, (q15_t)0xbac7, (q15_t)0x6ba7, (q15_t)0xbac2, (q15_t)0x6ba3, (q15_t)0xbabc, (q15_t)0x6ba0, (q15_t)0xbab7,
+  (q15_t)0x6b9c, (q15_t)0xbab2, (q15_t)0x6b99, (q15_t)0xbaad, (q15_t)0x6b96, (q15_t)0xbaa7, (q15_t)0x6b92, (q15_t)0xbaa2,
+  (q15_t)0x6b8f, (q15_t)0xba9d, (q15_t)0x6b8b, (q15_t)0xba97, (q15_t)0x6b88, (q15_t)0xba92, (q15_t)0x6b85, (q15_t)0xba8d,
+  (q15_t)0x6b81, (q15_t)0xba88, (q15_t)0x6b7e, (q15_t)0xba82, (q15_t)0x6b7a, (q15_t)0xba7d, (q15_t)0x6b77, (q15_t)0xba78,
+  (q15_t)0x6b73, (q15_t)0xba73, (q15_t)0x6b70, (q15_t)0xba6d, (q15_t)0x6b6d, (q15_t)0xba68, (q15_t)0x6b69, (q15_t)0xba63,
+  (q15_t)0x6b66, (q15_t)0xba5d, (q15_t)0x6b62, (q15_t)0xba58, (q15_t)0x6b5f, (q15_t)0xba53, (q15_t)0x6b5c, (q15_t)0xba4e,
+  (q15_t)0x6b58, (q15_t)0xba48, (q15_t)0x6b55, (q15_t)0xba43, (q15_t)0x6b51, (q15_t)0xba3e, (q15_t)0x6b4e, (q15_t)0xba39,
+  (q15_t)0x6b4a, (q15_t)0xba33, (q15_t)0x6b47, (q15_t)0xba2e, (q15_t)0x6b44, (q15_t)0xba29, (q15_t)0x6b40, (q15_t)0xba23,
+  (q15_t)0x6b3d, (q15_t)0xba1e, (q15_t)0x6b39, (q15_t)0xba19, (q15_t)0x6b36, (q15_t)0xba14, (q15_t)0x6b32, (q15_t)0xba0e,
+  (q15_t)0x6b2f, (q15_t)0xba09, (q15_t)0x6b2c, (q15_t)0xba04, (q15_t)0x6b28, (q15_t)0xb9ff, (q15_t)0x6b25, (q15_t)0xb9f9,
+  (q15_t)0x6b21, (q15_t)0xb9f4, (q15_t)0x6b1e, (q15_t)0xb9ef, (q15_t)0x6b1a, (q15_t)0xb9ea, (q15_t)0x6b17, (q15_t)0xb9e4,
+  (q15_t)0x6b13, (q15_t)0xb9df, (q15_t)0x6b10, (q15_t)0xb9da, (q15_t)0x6b0d, (q15_t)0xb9d5, (q15_t)0x6b09, (q15_t)0xb9cf,
+  (q15_t)0x6b06, (q15_t)0xb9ca, (q15_t)0x6b02, (q15_t)0xb9c5, (q15_t)0x6aff, (q15_t)0xb9c0, (q15_t)0x6afb, (q15_t)0xb9ba,
+  (q15_t)0x6af8, (q15_t)0xb9b5, (q15_t)0x6af4, (q15_t)0xb9b0, (q15_t)0x6af1, (q15_t)0xb9ab, (q15_t)0x6aee, (q15_t)0xb9a5,
+  (q15_t)0x6aea, (q15_t)0xb9a0, (q15_t)0x6ae7, (q15_t)0xb99b, (q15_t)0x6ae3, (q15_t)0xb996, (q15_t)0x6ae0, (q15_t)0xb990,
+  (q15_t)0x6adc, (q15_t)0xb98b, (q15_t)0x6ad9, (q15_t)0xb986, (q15_t)0x6ad5, (q15_t)0xb981, (q15_t)0x6ad2, (q15_t)0xb97b,
+  (q15_t)0x6ace, (q15_t)0xb976, (q15_t)0x6acb, (q15_t)0xb971, (q15_t)0x6ac8, (q15_t)0xb96c, (q15_t)0x6ac4, (q15_t)0xb966,
+  (q15_t)0x6ac1, (q15_t)0xb961, (q15_t)0x6abd, (q15_t)0xb95c, (q15_t)0x6aba, (q15_t)0xb957, (q15_t)0x6ab6, (q15_t)0xb951,
+  (q15_t)0x6ab3, (q15_t)0xb94c, (q15_t)0x6aaf, (q15_t)0xb947, (q15_t)0x6aac, (q15_t)0xb942, (q15_t)0x6aa8, (q15_t)0xb93c,
+  (q15_t)0x6aa5, (q15_t)0xb937, (q15_t)0x6aa1, (q15_t)0xb932, (q15_t)0x6a9e, (q15_t)0xb92d, (q15_t)0x6a9a, (q15_t)0xb928,
+  (q15_t)0x6a97, (q15_t)0xb922, (q15_t)0x6a93, (q15_t)0xb91d, (q15_t)0x6a90, (q15_t)0xb918, (q15_t)0x6a8c, (q15_t)0xb913,
+  (q15_t)0x6a89, (q15_t)0xb90d, (q15_t)0x6a86, (q15_t)0xb908, (q15_t)0x6a82, (q15_t)0xb903, (q15_t)0x6a7f, (q15_t)0xb8fe,
+  (q15_t)0x6a7b, (q15_t)0xb8f8, (q15_t)0x6a78, (q15_t)0xb8f3, (q15_t)0x6a74, (q15_t)0xb8ee, (q15_t)0x6a71, (q15_t)0xb8e9,
+  (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x6a6a, (q15_t)0xb8de, (q15_t)0x6a66, (q15_t)0xb8d9, (q15_t)0x6a63, (q15_t)0xb8d4,
+  (q15_t)0x6a5f, (q15_t)0xb8cf, (q15_t)0x6a5c, (q15_t)0xb8c9, (q15_t)0x6a58, (q15_t)0xb8c4, (q15_t)0x6a55, (q15_t)0xb8bf,
+  (q15_t)0x6a51, (q15_t)0xb8ba, (q15_t)0x6a4e, (q15_t)0xb8b5, (q15_t)0x6a4a, (q15_t)0xb8af, (q15_t)0x6a47, (q15_t)0xb8aa,
+  (q15_t)0x6a43, (q15_t)0xb8a5, (q15_t)0x6a40, (q15_t)0xb8a0, (q15_t)0x6a3c, (q15_t)0xb89b, (q15_t)0x6a39, (q15_t)0xb895,
+  (q15_t)0x6a35, (q15_t)0xb890, (q15_t)0x6a32, (q15_t)0xb88b, (q15_t)0x6a2e, (q15_t)0xb886, (q15_t)0x6a2b, (q15_t)0xb880,
+  (q15_t)0x6a27, (q15_t)0xb87b, (q15_t)0x6a24, (q15_t)0xb876, (q15_t)0x6a20, (q15_t)0xb871, (q15_t)0x6a1d, (q15_t)0xb86c,
+  (q15_t)0x6a19, (q15_t)0xb866, (q15_t)0x6a16, (q15_t)0xb861, (q15_t)0x6a12, (q15_t)0xb85c, (q15_t)0x6a0e, (q15_t)0xb857,
+  (q15_t)0x6a0b, (q15_t)0xb852, (q15_t)0x6a07, (q15_t)0xb84c, (q15_t)0x6a04, (q15_t)0xb847, (q15_t)0x6a00, (q15_t)0xb842,
+  (q15_t)0x69fd, (q15_t)0xb83d, (q15_t)0x69f9, (q15_t)0xb838, (q15_t)0x69f6, (q15_t)0xb832, (q15_t)0x69f2, (q15_t)0xb82d,
+  (q15_t)0x69ef, (q15_t)0xb828, (q15_t)0x69eb, (q15_t)0xb823, (q15_t)0x69e8, (q15_t)0xb81e, (q15_t)0x69e4, (q15_t)0xb818,
+  (q15_t)0x69e1, (q15_t)0xb813, (q15_t)0x69dd, (q15_t)0xb80e, (q15_t)0x69da, (q15_t)0xb809, (q15_t)0x69d6, (q15_t)0xb804,
+  (q15_t)0x69d3, (q15_t)0xb7fe, (q15_t)0x69cf, (q15_t)0xb7f9, (q15_t)0x69cb, (q15_t)0xb7f4, (q15_t)0x69c8, (q15_t)0xb7ef,
+  (q15_t)0x69c4, (q15_t)0xb7ea, (q15_t)0x69c1, (q15_t)0xb7e4, (q15_t)0x69bd, (q15_t)0xb7df, (q15_t)0x69ba, (q15_t)0xb7da,
+  (q15_t)0x69b6, (q15_t)0xb7d5, (q15_t)0x69b3, (q15_t)0xb7d0, (q15_t)0x69af, (q15_t)0xb7ca, (q15_t)0x69ac, (q15_t)0xb7c5,
+  (q15_t)0x69a8, (q15_t)0xb7c0, (q15_t)0x69a5, (q15_t)0xb7bb, (q15_t)0x69a1, (q15_t)0xb7b6, (q15_t)0x699d, (q15_t)0xb7b1,
+  (q15_t)0x699a, (q15_t)0xb7ab, (q15_t)0x6996, (q15_t)0xb7a6, (q15_t)0x6993, (q15_t)0xb7a1, (q15_t)0x698f, (q15_t)0xb79c,
+  (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x6988, (q15_t)0xb791, (q15_t)0x6985, (q15_t)0xb78c, (q15_t)0x6981, (q15_t)0xb787,
+  (q15_t)0x697d, (q15_t)0xb782, (q15_t)0x697a, (q15_t)0xb77d, (q15_t)0x6976, (q15_t)0xb778, (q15_t)0x6973, (q15_t)0xb772,
+  (q15_t)0x696f, (q15_t)0xb76d, (q15_t)0x696c, (q15_t)0xb768, (q15_t)0x6968, (q15_t)0xb763, (q15_t)0x6964, (q15_t)0xb75e,
+  (q15_t)0x6961, (q15_t)0xb758, (q15_t)0x695d, (q15_t)0xb753, (q15_t)0x695a, (q15_t)0xb74e, (q15_t)0x6956, (q15_t)0xb749,
+  (q15_t)0x6953, (q15_t)0xb744, (q15_t)0x694f, (q15_t)0xb73f, (q15_t)0x694b, (q15_t)0xb739, (q15_t)0x6948, (q15_t)0xb734,
+  (q15_t)0x6944, (q15_t)0xb72f, (q15_t)0x6941, (q15_t)0xb72a, (q15_t)0x693d, (q15_t)0xb725, (q15_t)0x693a, (q15_t)0xb720,
+  (q15_t)0x6936, (q15_t)0xb71a, (q15_t)0x6932, (q15_t)0xb715, (q15_t)0x692f, (q15_t)0xb710, (q15_t)0x692b, (q15_t)0xb70b,
+  (q15_t)0x6928, (q15_t)0xb706, (q15_t)0x6924, (q15_t)0xb701, (q15_t)0x6921, (q15_t)0xb6fb, (q15_t)0x691d, (q15_t)0xb6f6,
+  (q15_t)0x6919, (q15_t)0xb6f1, (q15_t)0x6916, (q15_t)0xb6ec, (q15_t)0x6912, (q15_t)0xb6e7, (q15_t)0x690f, (q15_t)0xb6e2,
+  (q15_t)0x690b, (q15_t)0xb6dd, (q15_t)0x6907, (q15_t)0xb6d7, (q15_t)0x6904, (q15_t)0xb6d2, (q15_t)0x6900, (q15_t)0xb6cd,
+  (q15_t)0x68fd, (q15_t)0xb6c8, (q15_t)0x68f9, (q15_t)0xb6c3, (q15_t)0x68f5, (q15_t)0xb6be, (q15_t)0x68f2, (q15_t)0xb6b8,
+  (q15_t)0x68ee, (q15_t)0xb6b3, (q15_t)0x68eb, (q15_t)0xb6ae, (q15_t)0x68e7, (q15_t)0xb6a9, (q15_t)0x68e3, (q15_t)0xb6a4,
+  (q15_t)0x68e0, (q15_t)0xb69f, (q15_t)0x68dc, (q15_t)0xb69a, (q15_t)0x68d9, (q15_t)0xb694, (q15_t)0x68d5, (q15_t)0xb68f,
+  (q15_t)0x68d1, (q15_t)0xb68a, (q15_t)0x68ce, (q15_t)0xb685, (q15_t)0x68ca, (q15_t)0xb680, (q15_t)0x68c7, (q15_t)0xb67b,
+  (q15_t)0x68c3, (q15_t)0xb676, (q15_t)0x68bf, (q15_t)0xb670, (q15_t)0x68bc, (q15_t)0xb66b, (q15_t)0x68b8, (q15_t)0xb666,
+  (q15_t)0x68b5, (q15_t)0xb661, (q15_t)0x68b1, (q15_t)0xb65c, (q15_t)0x68ad, (q15_t)0xb657, (q15_t)0x68aa, (q15_t)0xb652,
+  (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x68a3, (q15_t)0xb647, (q15_t)0x689f, (q15_t)0xb642, (q15_t)0x689b, (q15_t)0xb63d,
+  (q15_t)0x6898, (q15_t)0xb638, (q15_t)0x6894, (q15_t)0xb633, (q15_t)0x6890, (q15_t)0xb62e, (q15_t)0x688d, (q15_t)0xb628,
+  (q15_t)0x6889, (q15_t)0xb623, (q15_t)0x6886, (q15_t)0xb61e, (q15_t)0x6882, (q15_t)0xb619, (q15_t)0x687e, (q15_t)0xb614,
+  (q15_t)0x687b, (q15_t)0xb60f, (q15_t)0x6877, (q15_t)0xb60a, (q15_t)0x6873, (q15_t)0xb605, (q15_t)0x6870, (q15_t)0xb5ff,
+  (q15_t)0x686c, (q15_t)0xb5fa, (q15_t)0x6868, (q15_t)0xb5f5, (q15_t)0x6865, (q15_t)0xb5f0, (q15_t)0x6861, (q15_t)0xb5eb,
+  (q15_t)0x685e, (q15_t)0xb5e6, (q15_t)0x685a, (q15_t)0xb5e1, (q15_t)0x6856, (q15_t)0xb5dc, (q15_t)0x6853, (q15_t)0xb5d6,
+  (q15_t)0x684f, (q15_t)0xb5d1, (q15_t)0x684b, (q15_t)0xb5cc, (q15_t)0x6848, (q15_t)0xb5c7, (q15_t)0x6844, (q15_t)0xb5c2,
+  (q15_t)0x6840, (q15_t)0xb5bd, (q15_t)0x683d, (q15_t)0xb5b8, (q15_t)0x6839, (q15_t)0xb5b3, (q15_t)0x6835, (q15_t)0xb5ae,
+  (q15_t)0x6832, (q15_t)0xb5a8, (q15_t)0x682e, (q15_t)0xb5a3, (q15_t)0x682b, (q15_t)0xb59e, (q15_t)0x6827, (q15_t)0xb599,
+  (q15_t)0x6823, (q15_t)0xb594, (q15_t)0x6820, (q15_t)0xb58f, (q15_t)0x681c, (q15_t)0xb58a, (q15_t)0x6818, (q15_t)0xb585,
+  (q15_t)0x6815, (q15_t)0xb57f, (q15_t)0x6811, (q15_t)0xb57a, (q15_t)0x680d, (q15_t)0xb575, (q15_t)0x680a, (q15_t)0xb570,
+  (q15_t)0x6806, (q15_t)0xb56b, (q15_t)0x6802, (q15_t)0xb566, (q15_t)0x67ff, (q15_t)0xb561, (q15_t)0x67fb, (q15_t)0xb55c,
+  (q15_t)0x67f7, (q15_t)0xb557, (q15_t)0x67f4, (q15_t)0xb552, (q15_t)0x67f0, (q15_t)0xb54c, (q15_t)0x67ec, (q15_t)0xb547,
+  (q15_t)0x67e9, (q15_t)0xb542, (q15_t)0x67e5, (q15_t)0xb53d, (q15_t)0x67e1, (q15_t)0xb538, (q15_t)0x67de, (q15_t)0xb533,
+  (q15_t)0x67da, (q15_t)0xb52e, (q15_t)0x67d6, (q15_t)0xb529, (q15_t)0x67d3, (q15_t)0xb524, (q15_t)0x67cf, (q15_t)0xb51f,
+  (q15_t)0x67cb, (q15_t)0xb519, (q15_t)0x67c8, (q15_t)0xb514, (q15_t)0x67c4, (q15_t)0xb50f, (q15_t)0x67c0, (q15_t)0xb50a,
+  (q15_t)0x67bd, (q15_t)0xb505, (q15_t)0x67b9, (q15_t)0xb500, (q15_t)0x67b5, (q15_t)0xb4fb, (q15_t)0x67b2, (q15_t)0xb4f6,
+  (q15_t)0x67ae, (q15_t)0xb4f1, (q15_t)0x67aa, (q15_t)0xb4ec, (q15_t)0x67a6, (q15_t)0xb4e7, (q15_t)0x67a3, (q15_t)0xb4e1,
+  (q15_t)0x679f, (q15_t)0xb4dc, (q15_t)0x679b, (q15_t)0xb4d7, (q15_t)0x6798, (q15_t)0xb4d2, (q15_t)0x6794, (q15_t)0xb4cd,
+  (q15_t)0x6790, (q15_t)0xb4c8, (q15_t)0x678d, (q15_t)0xb4c3, (q15_t)0x6789, (q15_t)0xb4be, (q15_t)0x6785, (q15_t)0xb4b9,
+  (q15_t)0x6782, (q15_t)0xb4b4, (q15_t)0x677e, (q15_t)0xb4af, (q15_t)0x677a, (q15_t)0xb4aa, (q15_t)0x6776, (q15_t)0xb4a4,
+  (q15_t)0x6773, (q15_t)0xb49f, (q15_t)0x676f, (q15_t)0xb49a, (q15_t)0x676b, (q15_t)0xb495, (q15_t)0x6768, (q15_t)0xb490,
+  (q15_t)0x6764, (q15_t)0xb48b, (q15_t)0x6760, (q15_t)0xb486, (q15_t)0x675d, (q15_t)0xb481, (q15_t)0x6759, (q15_t)0xb47c,
+  (q15_t)0x6755, (q15_t)0xb477, (q15_t)0x6751, (q15_t)0xb472, (q15_t)0x674e, (q15_t)0xb46d, (q15_t)0x674a, (q15_t)0xb468,
+  (q15_t)0x6746, (q15_t)0xb462, (q15_t)0x6743, (q15_t)0xb45d, (q15_t)0x673f, (q15_t)0xb458, (q15_t)0x673b, (q15_t)0xb453,
+  (q15_t)0x6737, (q15_t)0xb44e, (q15_t)0x6734, (q15_t)0xb449, (q15_t)0x6730, (q15_t)0xb444, (q15_t)0x672c, (q15_t)0xb43f,
+  (q15_t)0x6729, (q15_t)0xb43a, (q15_t)0x6725, (q15_t)0xb435, (q15_t)0x6721, (q15_t)0xb430, (q15_t)0x671d, (q15_t)0xb42b,
+  (q15_t)0x671a, (q15_t)0xb426, (q15_t)0x6716, (q15_t)0xb421, (q15_t)0x6712, (q15_t)0xb41c, (q15_t)0x670e, (q15_t)0xb417,
+  (q15_t)0x670b, (q15_t)0xb411, (q15_t)0x6707, (q15_t)0xb40c, (q15_t)0x6703, (q15_t)0xb407, (q15_t)0x6700, (q15_t)0xb402,
+  (q15_t)0x66fc, (q15_t)0xb3fd, (q15_t)0x66f8, (q15_t)0xb3f8, (q15_t)0x66f4, (q15_t)0xb3f3, (q15_t)0x66f1, (q15_t)0xb3ee,
+  (q15_t)0x66ed, (q15_t)0xb3e9, (q15_t)0x66e9, (q15_t)0xb3e4, (q15_t)0x66e5, (q15_t)0xb3df, (q15_t)0x66e2, (q15_t)0xb3da,
+  (q15_t)0x66de, (q15_t)0xb3d5, (q15_t)0x66da, (q15_t)0xb3d0, (q15_t)0x66d6, (q15_t)0xb3cb, (q15_t)0x66d3, (q15_t)0xb3c6,
+  (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x66cb, (q15_t)0xb3bc, (q15_t)0x66c8, (q15_t)0xb3b7, (q15_t)0x66c4, (q15_t)0xb3b1,
+  (q15_t)0x66c0, (q15_t)0xb3ac, (q15_t)0x66bc, (q15_t)0xb3a7, (q15_t)0x66b9, (q15_t)0xb3a2, (q15_t)0x66b5, (q15_t)0xb39d,
+  (q15_t)0x66b1, (q15_t)0xb398, (q15_t)0x66ad, (q15_t)0xb393, (q15_t)0x66aa, (q15_t)0xb38e, (q15_t)0x66a6, (q15_t)0xb389,
+  (q15_t)0x66a2, (q15_t)0xb384, (q15_t)0x669e, (q15_t)0xb37f, (q15_t)0x669b, (q15_t)0xb37a, (q15_t)0x6697, (q15_t)0xb375,
+  (q15_t)0x6693, (q15_t)0xb370, (q15_t)0x668f, (q15_t)0xb36b, (q15_t)0x668b, (q15_t)0xb366, (q15_t)0x6688, (q15_t)0xb361,
+  (q15_t)0x6684, (q15_t)0xb35c, (q15_t)0x6680, (q15_t)0xb357, (q15_t)0x667c, (q15_t)0xb352, (q15_t)0x6679, (q15_t)0xb34d,
+  (q15_t)0x6675, (q15_t)0xb348, (q15_t)0x6671, (q15_t)0xb343, (q15_t)0x666d, (q15_t)0xb33e, (q15_t)0x666a, (q15_t)0xb339,
+  (q15_t)0x6666, (q15_t)0xb334, (q15_t)0x6662, (q15_t)0xb32f, (q15_t)0x665e, (q15_t)0xb32a, (q15_t)0x665b, (q15_t)0xb325,
+  (q15_t)0x6657, (q15_t)0xb31f, (q15_t)0x6653, (q15_t)0xb31a, (q15_t)0x664f, (q15_t)0xb315, (q15_t)0x664b, (q15_t)0xb310,
+  (q15_t)0x6648, (q15_t)0xb30b, (q15_t)0x6644, (q15_t)0xb306, (q15_t)0x6640, (q15_t)0xb301, (q15_t)0x663c, (q15_t)0xb2fc,
+  (q15_t)0x6639, (q15_t)0xb2f7, (q15_t)0x6635, (q15_t)0xb2f2, (q15_t)0x6631, (q15_t)0xb2ed, (q15_t)0x662d, (q15_t)0xb2e8,
+  (q15_t)0x6629, (q15_t)0xb2e3, (q15_t)0x6626, (q15_t)0xb2de, (q15_t)0x6622, (q15_t)0xb2d9, (q15_t)0x661e, (q15_t)0xb2d4,
+  (q15_t)0x661a, (q15_t)0xb2cf, (q15_t)0x6616, (q15_t)0xb2ca, (q15_t)0x6613, (q15_t)0xb2c5, (q15_t)0x660f, (q15_t)0xb2c0,
+  (q15_t)0x660b, (q15_t)0xb2bb, (q15_t)0x6607, (q15_t)0xb2b6, (q15_t)0x6603, (q15_t)0xb2b1, (q15_t)0x6600, (q15_t)0xb2ac,
+  (q15_t)0x65fc, (q15_t)0xb2a7, (q15_t)0x65f8, (q15_t)0xb2a2, (q15_t)0x65f4, (q15_t)0xb29d, (q15_t)0x65f0, (q15_t)0xb298,
+  (q15_t)0x65ed, (q15_t)0xb293, (q15_t)0x65e9, (q15_t)0xb28e, (q15_t)0x65e5, (q15_t)0xb289, (q15_t)0x65e1, (q15_t)0xb284,
+  (q15_t)0x65dd, (q15_t)0xb27f, (q15_t)0x65da, (q15_t)0xb27a, (q15_t)0x65d6, (q15_t)0xb275, (q15_t)0x65d2, (q15_t)0xb270,
+  (q15_t)0x65ce, (q15_t)0xb26b, (q15_t)0x65ca, (q15_t)0xb266, (q15_t)0x65c7, (q15_t)0xb261, (q15_t)0x65c3, (q15_t)0xb25c,
+  (q15_t)0x65bf, (q15_t)0xb257, (q15_t)0x65bb, (q15_t)0xb252, (q15_t)0x65b7, (q15_t)0xb24d, (q15_t)0x65b4, (q15_t)0xb248,
+  (q15_t)0x65b0, (q15_t)0xb243, (q15_t)0x65ac, (q15_t)0xb23e, (q15_t)0x65a8, (q15_t)0xb239, (q15_t)0x65a4, (q15_t)0xb234,
+  (q15_t)0x65a0, (q15_t)0xb22f, (q15_t)0x659d, (q15_t)0xb22a, (q15_t)0x6599, (q15_t)0xb225, (q15_t)0x6595, (q15_t)0xb220,
+  (q15_t)0x6591, (q15_t)0xb21b, (q15_t)0x658d, (q15_t)0xb216, (q15_t)0x658a, (q15_t)0xb211, (q15_t)0x6586, (q15_t)0xb20c,
+  (q15_t)0x6582, (q15_t)0xb207, (q15_t)0x657e, (q15_t)0xb202, (q15_t)0x657a, (q15_t)0xb1fd, (q15_t)0x6576, (q15_t)0xb1f8,
+  (q15_t)0x6573, (q15_t)0xb1f3, (q15_t)0x656f, (q15_t)0xb1ee, (q15_t)0x656b, (q15_t)0xb1e9, (q15_t)0x6567, (q15_t)0xb1e4,
+  (q15_t)0x6563, (q15_t)0xb1df, (q15_t)0x655f, (q15_t)0xb1da, (q15_t)0x655c, (q15_t)0xb1d6, (q15_t)0x6558, (q15_t)0xb1d1,
+  (q15_t)0x6554, (q15_t)0xb1cc, (q15_t)0x6550, (q15_t)0xb1c7, (q15_t)0x654c, (q15_t)0xb1c2, (q15_t)0x6548, (q15_t)0xb1bd,
+  (q15_t)0x6545, (q15_t)0xb1b8, (q15_t)0x6541, (q15_t)0xb1b3, (q15_t)0x653d, (q15_t)0xb1ae, (q15_t)0x6539, (q15_t)0xb1a9,
+  (q15_t)0x6535, (q15_t)0xb1a4, (q15_t)0x6531, (q15_t)0xb19f, (q15_t)0x652d, (q15_t)0xb19a, (q15_t)0x652a, (q15_t)0xb195,
+  (q15_t)0x6526, (q15_t)0xb190, (q15_t)0x6522, (q15_t)0xb18b, (q15_t)0x651e, (q15_t)0xb186, (q15_t)0x651a, (q15_t)0xb181,
+  (q15_t)0x6516, (q15_t)0xb17c, (q15_t)0x6513, (q15_t)0xb177, (q15_t)0x650f, (q15_t)0xb172, (q15_t)0x650b, (q15_t)0xb16d,
+  (q15_t)0x6507, (q15_t)0xb168, (q15_t)0x6503, (q15_t)0xb163, (q15_t)0x64ff, (q15_t)0xb15e, (q15_t)0x64fb, (q15_t)0xb159,
+  (q15_t)0x64f7, (q15_t)0xb154, (q15_t)0x64f4, (q15_t)0xb14f, (q15_t)0x64f0, (q15_t)0xb14a, (q15_t)0x64ec, (q15_t)0xb146,
+  (q15_t)0x64e8, (q15_t)0xb141, (q15_t)0x64e4, (q15_t)0xb13c, (q15_t)0x64e0, (q15_t)0xb137, (q15_t)0x64dc, (q15_t)0xb132,
+  (q15_t)0x64d9, (q15_t)0xb12d, (q15_t)0x64d5, (q15_t)0xb128, (q15_t)0x64d1, (q15_t)0xb123, (q15_t)0x64cd, (q15_t)0xb11e,
+  (q15_t)0x64c9, (q15_t)0xb119, (q15_t)0x64c5, (q15_t)0xb114, (q15_t)0x64c1, (q15_t)0xb10f, (q15_t)0x64bd, (q15_t)0xb10a,
+  (q15_t)0x64ba, (q15_t)0xb105, (q15_t)0x64b6, (q15_t)0xb100, (q15_t)0x64b2, (q15_t)0xb0fb, (q15_t)0x64ae, (q15_t)0xb0f6,
+  (q15_t)0x64aa, (q15_t)0xb0f1, (q15_t)0x64a6, (q15_t)0xb0ec, (q15_t)0x64a2, (q15_t)0xb0e8, (q15_t)0x649e, (q15_t)0xb0e3,
+  (q15_t)0x649b, (q15_t)0xb0de, (q15_t)0x6497, (q15_t)0xb0d9, (q15_t)0x6493, (q15_t)0xb0d4, (q15_t)0x648f, (q15_t)0xb0cf,
+  (q15_t)0x648b, (q15_t)0xb0ca, (q15_t)0x6487, (q15_t)0xb0c5, (q15_t)0x6483, (q15_t)0xb0c0, (q15_t)0x647f, (q15_t)0xb0bb,
+  (q15_t)0x647b, (q15_t)0xb0b6, (q15_t)0x6478, (q15_t)0xb0b1, (q15_t)0x6474, (q15_t)0xb0ac, (q15_t)0x6470, (q15_t)0xb0a7,
+  (q15_t)0x646c, (q15_t)0xb0a2, (q15_t)0x6468, (q15_t)0xb09e, (q15_t)0x6464, (q15_t)0xb099, (q15_t)0x6460, (q15_t)0xb094,
+  (q15_t)0x645c, (q15_t)0xb08f, (q15_t)0x6458, (q15_t)0xb08a, (q15_t)0x6454, (q15_t)0xb085, (q15_t)0x6451, (q15_t)0xb080,
+  (q15_t)0x644d, (q15_t)0xb07b, (q15_t)0x6449, (q15_t)0xb076, (q15_t)0x6445, (q15_t)0xb071, (q15_t)0x6441, (q15_t)0xb06c,
+  (q15_t)0x643d, (q15_t)0xb067, (q15_t)0x6439, (q15_t)0xb062, (q15_t)0x6435, (q15_t)0xb05e, (q15_t)0x6431, (q15_t)0xb059,
+  (q15_t)0x642d, (q15_t)0xb054, (q15_t)0x6429, (q15_t)0xb04f, (q15_t)0x6426, (q15_t)0xb04a, (q15_t)0x6422, (q15_t)0xb045,
+  (q15_t)0x641e, (q15_t)0xb040, (q15_t)0x641a, (q15_t)0xb03b, (q15_t)0x6416, (q15_t)0xb036, (q15_t)0x6412, (q15_t)0xb031,
+  (q15_t)0x640e, (q15_t)0xb02c, (q15_t)0x640a, (q15_t)0xb027, (q15_t)0x6406, (q15_t)0xb023, (q15_t)0x6402, (q15_t)0xb01e,
+  (q15_t)0x63fe, (q15_t)0xb019, (q15_t)0x63fa, (q15_t)0xb014, (q15_t)0x63f7, (q15_t)0xb00f, (q15_t)0x63f3, (q15_t)0xb00a,
+  (q15_t)0x63ef, (q15_t)0xb005, (q15_t)0x63eb, (q15_t)0xb000, (q15_t)0x63e7, (q15_t)0xaffb, (q15_t)0x63e3, (q15_t)0xaff6,
+  (q15_t)0x63df, (q15_t)0xaff1, (q15_t)0x63db, (q15_t)0xafed, (q15_t)0x63d7, (q15_t)0xafe8, (q15_t)0x63d3, (q15_t)0xafe3,
+  (q15_t)0x63cf, (q15_t)0xafde, (q15_t)0x63cb, (q15_t)0xafd9, (q15_t)0x63c7, (q15_t)0xafd4, (q15_t)0x63c3, (q15_t)0xafcf,
+  (q15_t)0x63c0, (q15_t)0xafca, (q15_t)0x63bc, (q15_t)0xafc5, (q15_t)0x63b8, (q15_t)0xafc1, (q15_t)0x63b4, (q15_t)0xafbc,
+  (q15_t)0x63b0, (q15_t)0xafb7, (q15_t)0x63ac, (q15_t)0xafb2, (q15_t)0x63a8, (q15_t)0xafad, (q15_t)0x63a4, (q15_t)0xafa8,
+  (q15_t)0x63a0, (q15_t)0xafa3, (q15_t)0x639c, (q15_t)0xaf9e, (q15_t)0x6398, (q15_t)0xaf99, (q15_t)0x6394, (q15_t)0xaf94,
+  (q15_t)0x6390, (q15_t)0xaf90, (q15_t)0x638c, (q15_t)0xaf8b, (q15_t)0x6388, (q15_t)0xaf86, (q15_t)0x6384, (q15_t)0xaf81,
+  (q15_t)0x6380, (q15_t)0xaf7c, (q15_t)0x637c, (q15_t)0xaf77, (q15_t)0x6378, (q15_t)0xaf72, (q15_t)0x6375, (q15_t)0xaf6d,
+  (q15_t)0x6371, (q15_t)0xaf69, (q15_t)0x636d, (q15_t)0xaf64, (q15_t)0x6369, (q15_t)0xaf5f, (q15_t)0x6365, (q15_t)0xaf5a,
+  (q15_t)0x6361, (q15_t)0xaf55, (q15_t)0x635d, (q15_t)0xaf50, (q15_t)0x6359, (q15_t)0xaf4b, (q15_t)0x6355, (q15_t)0xaf46,
+  (q15_t)0x6351, (q15_t)0xaf41, (q15_t)0x634d, (q15_t)0xaf3d, (q15_t)0x6349, (q15_t)0xaf38, (q15_t)0x6345, (q15_t)0xaf33,
+  (q15_t)0x6341, (q15_t)0xaf2e, (q15_t)0x633d, (q15_t)0xaf29, (q15_t)0x6339, (q15_t)0xaf24, (q15_t)0x6335, (q15_t)0xaf1f,
+  (q15_t)0x6331, (q15_t)0xaf1b, (q15_t)0x632d, (q15_t)0xaf16, (q15_t)0x6329, (q15_t)0xaf11, (q15_t)0x6325, (q15_t)0xaf0c,
+  (q15_t)0x6321, (q15_t)0xaf07, (q15_t)0x631d, (q15_t)0xaf02, (q15_t)0x6319, (q15_t)0xaefd, (q15_t)0x6315, (q15_t)0xaef8,
+  (q15_t)0x6311, (q15_t)0xaef4, (q15_t)0x630d, (q15_t)0xaeef, (q15_t)0x6309, (q15_t)0xaeea, (q15_t)0x6305, (q15_t)0xaee5,
+  (q15_t)0x6301, (q15_t)0xaee0, (q15_t)0x62fd, (q15_t)0xaedb, (q15_t)0x62f9, (q15_t)0xaed6, (q15_t)0x62f5, (q15_t)0xaed2,
+  (q15_t)0x62f2, (q15_t)0xaecd, (q15_t)0x62ee, (q15_t)0xaec8, (q15_t)0x62ea, (q15_t)0xaec3, (q15_t)0x62e6, (q15_t)0xaebe,
+  (q15_t)0x62e2, (q15_t)0xaeb9, (q15_t)0x62de, (q15_t)0xaeb4, (q15_t)0x62da, (q15_t)0xaeb0, (q15_t)0x62d6, (q15_t)0xaeab,
+  (q15_t)0x62d2, (q15_t)0xaea6, (q15_t)0x62ce, (q15_t)0xaea1, (q15_t)0x62ca, (q15_t)0xae9c, (q15_t)0x62c6, (q15_t)0xae97,
+  (q15_t)0x62c2, (q15_t)0xae92, (q15_t)0x62be, (q15_t)0xae8e, (q15_t)0x62ba, (q15_t)0xae89, (q15_t)0x62b6, (q15_t)0xae84,
+  (q15_t)0x62b2, (q15_t)0xae7f, (q15_t)0x62ae, (q15_t)0xae7a, (q15_t)0x62aa, (q15_t)0xae75, (q15_t)0x62a6, (q15_t)0xae71,
+  (q15_t)0x62a2, (q15_t)0xae6c, (q15_t)0x629e, (q15_t)0xae67, (q15_t)0x629a, (q15_t)0xae62, (q15_t)0x6296, (q15_t)0xae5d,
+  (q15_t)0x6292, (q15_t)0xae58, (q15_t)0x628e, (q15_t)0xae54, (q15_t)0x628a, (q15_t)0xae4f, (q15_t)0x6286, (q15_t)0xae4a,
+  (q15_t)0x6282, (q15_t)0xae45, (q15_t)0x627e, (q15_t)0xae40, (q15_t)0x627a, (q15_t)0xae3b, (q15_t)0x6275, (q15_t)0xae37,
+  (q15_t)0x6271, (q15_t)0xae32, (q15_t)0x626d, (q15_t)0xae2d, (q15_t)0x6269, (q15_t)0xae28, (q15_t)0x6265, (q15_t)0xae23,
+  (q15_t)0x6261, (q15_t)0xae1e, (q15_t)0x625d, (q15_t)0xae1a, (q15_t)0x6259, (q15_t)0xae15, (q15_t)0x6255, (q15_t)0xae10,
+  (q15_t)0x6251, (q15_t)0xae0b, (q15_t)0x624d, (q15_t)0xae06, (q15_t)0x6249, (q15_t)0xae01, (q15_t)0x6245, (q15_t)0xadfd,
+  (q15_t)0x6241, (q15_t)0xadf8, (q15_t)0x623d, (q15_t)0xadf3, (q15_t)0x6239, (q15_t)0xadee, (q15_t)0x6235, (q15_t)0xade9,
+  (q15_t)0x6231, (q15_t)0xade4, (q15_t)0x622d, (q15_t)0xade0, (q15_t)0x6229, (q15_t)0xaddb, (q15_t)0x6225, (q15_t)0xadd6,
+  (q15_t)0x6221, (q15_t)0xadd1, (q15_t)0x621d, (q15_t)0xadcc, (q15_t)0x6219, (q15_t)0xadc8, (q15_t)0x6215, (q15_t)0xadc3,
+  (q15_t)0x6211, (q15_t)0xadbe, (q15_t)0x620d, (q15_t)0xadb9, (q15_t)0x6209, (q15_t)0xadb4, (q15_t)0x6205, (q15_t)0xadaf,
+  (q15_t)0x6201, (q15_t)0xadab, (q15_t)0x61fd, (q15_t)0xada6, (q15_t)0x61f9, (q15_t)0xada1, (q15_t)0x61f5, (q15_t)0xad9c,
+  (q15_t)0x61f1, (q15_t)0xad97, (q15_t)0x61ec, (q15_t)0xad93, (q15_t)0x61e8, (q15_t)0xad8e, (q15_t)0x61e4, (q15_t)0xad89,
+  (q15_t)0x61e0, (q15_t)0xad84, (q15_t)0x61dc, (q15_t)0xad7f, (q15_t)0x61d8, (q15_t)0xad7b, (q15_t)0x61d4, (q15_t)0xad76,
+  (q15_t)0x61d0, (q15_t)0xad71, (q15_t)0x61cc, (q15_t)0xad6c, (q15_t)0x61c8, (q15_t)0xad67, (q15_t)0x61c4, (q15_t)0xad63,
+  (q15_t)0x61c0, (q15_t)0xad5e, (q15_t)0x61bc, (q15_t)0xad59, (q15_t)0x61b8, (q15_t)0xad54, (q15_t)0x61b4, (q15_t)0xad4f,
+  (q15_t)0x61b0, (q15_t)0xad4b, (q15_t)0x61ac, (q15_t)0xad46, (q15_t)0x61a8, (q15_t)0xad41, (q15_t)0x61a3, (q15_t)0xad3c,
+  (q15_t)0x619f, (q15_t)0xad37, (q15_t)0x619b, (q15_t)0xad33, (q15_t)0x6197, (q15_t)0xad2e, (q15_t)0x6193, (q15_t)0xad29,
+  (q15_t)0x618f, (q15_t)0xad24, (q15_t)0x618b, (q15_t)0xad1f, (q15_t)0x6187, (q15_t)0xad1b, (q15_t)0x6183, (q15_t)0xad16,
+  (q15_t)0x617f, (q15_t)0xad11, (q15_t)0x617b, (q15_t)0xad0c, (q15_t)0x6177, (q15_t)0xad08, (q15_t)0x6173, (q15_t)0xad03,
+  (q15_t)0x616f, (q15_t)0xacfe, (q15_t)0x616b, (q15_t)0xacf9, (q15_t)0x6166, (q15_t)0xacf4, (q15_t)0x6162, (q15_t)0xacf0,
+  (q15_t)0x615e, (q15_t)0xaceb, (q15_t)0x615a, (q15_t)0xace6, (q15_t)0x6156, (q15_t)0xace1, (q15_t)0x6152, (q15_t)0xacdd,
+  (q15_t)0x614e, (q15_t)0xacd8, (q15_t)0x614a, (q15_t)0xacd3, (q15_t)0x6146, (q15_t)0xacce, (q15_t)0x6142, (q15_t)0xacc9,
+  (q15_t)0x613e, (q15_t)0xacc5, (q15_t)0x613a, (q15_t)0xacc0, (q15_t)0x6135, (q15_t)0xacbb, (q15_t)0x6131, (q15_t)0xacb6,
+  (q15_t)0x612d, (q15_t)0xacb2, (q15_t)0x6129, (q15_t)0xacad, (q15_t)0x6125, (q15_t)0xaca8, (q15_t)0x6121, (q15_t)0xaca3,
+  (q15_t)0x611d, (q15_t)0xac9e, (q15_t)0x6119, (q15_t)0xac9a, (q15_t)0x6115, (q15_t)0xac95, (q15_t)0x6111, (q15_t)0xac90,
+  (q15_t)0x610d, (q15_t)0xac8b, (q15_t)0x6108, (q15_t)0xac87, (q15_t)0x6104, (q15_t)0xac82, (q15_t)0x6100, (q15_t)0xac7d,
+  (q15_t)0x60fc, (q15_t)0xac78, (q15_t)0x60f8, (q15_t)0xac74, (q15_t)0x60f4, (q15_t)0xac6f, (q15_t)0x60f0, (q15_t)0xac6a,
+  (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x60e8, (q15_t)0xac61, (q15_t)0x60e4, (q15_t)0xac5c, (q15_t)0x60df, (q15_t)0xac57,
+  (q15_t)0x60db, (q15_t)0xac52, (q15_t)0x60d7, (q15_t)0xac4e, (q15_t)0x60d3, (q15_t)0xac49, (q15_t)0x60cf, (q15_t)0xac44,
+  (q15_t)0x60cb, (q15_t)0xac3f, (q15_t)0x60c7, (q15_t)0xac3b, (q15_t)0x60c3, (q15_t)0xac36, (q15_t)0x60bf, (q15_t)0xac31,
+  (q15_t)0x60ba, (q15_t)0xac2c, (q15_t)0x60b6, (q15_t)0xac28, (q15_t)0x60b2, (q15_t)0xac23, (q15_t)0x60ae, (q15_t)0xac1e,
+  (q15_t)0x60aa, (q15_t)0xac19, (q15_t)0x60a6, (q15_t)0xac15, (q15_t)0x60a2, (q15_t)0xac10, (q15_t)0x609e, (q15_t)0xac0b,
+  (q15_t)0x6099, (q15_t)0xac06, (q15_t)0x6095, (q15_t)0xac02, (q15_t)0x6091, (q15_t)0xabfd, (q15_t)0x608d, (q15_t)0xabf8,
+  (q15_t)0x6089, (q15_t)0xabf3, (q15_t)0x6085, (q15_t)0xabef, (q15_t)0x6081, (q15_t)0xabea, (q15_t)0x607d, (q15_t)0xabe5,
+  (q15_t)0x6078, (q15_t)0xabe0, (q15_t)0x6074, (q15_t)0xabdc, (q15_t)0x6070, (q15_t)0xabd7, (q15_t)0x606c, (q15_t)0xabd2,
+  (q15_t)0x6068, (q15_t)0xabcd, (q15_t)0x6064, (q15_t)0xabc9, (q15_t)0x6060, (q15_t)0xabc4, (q15_t)0x605c, (q15_t)0xabbf,
+  (q15_t)0x6057, (q15_t)0xabbb, (q15_t)0x6053, (q15_t)0xabb6, (q15_t)0x604f, (q15_t)0xabb1, (q15_t)0x604b, (q15_t)0xabac,
+  (q15_t)0x6047, (q15_t)0xaba8, (q15_t)0x6043, (q15_t)0xaba3, (q15_t)0x603f, (q15_t)0xab9e, (q15_t)0x603a, (q15_t)0xab99,
+  (q15_t)0x6036, (q15_t)0xab95, (q15_t)0x6032, (q15_t)0xab90, (q15_t)0x602e, (q15_t)0xab8b, (q15_t)0x602a, (q15_t)0xab87,
+  (q15_t)0x6026, (q15_t)0xab82, (q15_t)0x6022, (q15_t)0xab7d, (q15_t)0x601d, (q15_t)0xab78, (q15_t)0x6019, (q15_t)0xab74,
+  (q15_t)0x6015, (q15_t)0xab6f, (q15_t)0x6011, (q15_t)0xab6a, (q15_t)0x600d, (q15_t)0xab66, (q15_t)0x6009, (q15_t)0xab61,
+  (q15_t)0x6004, (q15_t)0xab5c, (q15_t)0x6000, (q15_t)0xab57, (q15_t)0x5ffc, (q15_t)0xab53, (q15_t)0x5ff8, (q15_t)0xab4e,
+  (q15_t)0x5ff4, (q15_t)0xab49, (q15_t)0x5ff0, (q15_t)0xab45, (q15_t)0x5fec, (q15_t)0xab40, (q15_t)0x5fe7, (q15_t)0xab3b,
+  (q15_t)0x5fe3, (q15_t)0xab36, (q15_t)0x5fdf, (q15_t)0xab32, (q15_t)0x5fdb, (q15_t)0xab2d, (q15_t)0x5fd7, (q15_t)0xab28,
+  (q15_t)0x5fd3, (q15_t)0xab24, (q15_t)0x5fce, (q15_t)0xab1f, (q15_t)0x5fca, (q15_t)0xab1a, (q15_t)0x5fc6, (q15_t)0xab16,
+  (q15_t)0x5fc2, (q15_t)0xab11, (q15_t)0x5fbe, (q15_t)0xab0c, (q15_t)0x5fba, (q15_t)0xab07, (q15_t)0x5fb5, (q15_t)0xab03,
+  (q15_t)0x5fb1, (q15_t)0xaafe, (q15_t)0x5fad, (q15_t)0xaaf9, (q15_t)0x5fa9, (q15_t)0xaaf5, (q15_t)0x5fa5, (q15_t)0xaaf0,
+  (q15_t)0x5fa0, (q15_t)0xaaeb, (q15_t)0x5f9c, (q15_t)0xaae7, (q15_t)0x5f98, (q15_t)0xaae2, (q15_t)0x5f94, (q15_t)0xaadd,
+  (q15_t)0x5f90, (q15_t)0xaad8, (q15_t)0x5f8c, (q15_t)0xaad4, (q15_t)0x5f87, (q15_t)0xaacf, (q15_t)0x5f83, (q15_t)0xaaca,
+  (q15_t)0x5f7f, (q15_t)0xaac6, (q15_t)0x5f7b, (q15_t)0xaac1, (q15_t)0x5f77, (q15_t)0xaabc, (q15_t)0x5f72, (q15_t)0xaab8,
+  (q15_t)0x5f6e, (q15_t)0xaab3, (q15_t)0x5f6a, (q15_t)0xaaae, (q15_t)0x5f66, (q15_t)0xaaaa, (q15_t)0x5f62, (q15_t)0xaaa5,
+  (q15_t)0x5f5e, (q15_t)0xaaa0, (q15_t)0x5f59, (q15_t)0xaa9c, (q15_t)0x5f55, (q15_t)0xaa97, (q15_t)0x5f51, (q15_t)0xaa92,
+  (q15_t)0x5f4d, (q15_t)0xaa8e, (q15_t)0x5f49, (q15_t)0xaa89, (q15_t)0x5f44, (q15_t)0xaa84, (q15_t)0x5f40, (q15_t)0xaa7f,
+  (q15_t)0x5f3c, (q15_t)0xaa7b, (q15_t)0x5f38, (q15_t)0xaa76, (q15_t)0x5f34, (q15_t)0xaa71, (q15_t)0x5f2f, (q15_t)0xaa6d,
+  (q15_t)0x5f2b, (q15_t)0xaa68, (q15_t)0x5f27, (q15_t)0xaa63, (q15_t)0x5f23, (q15_t)0xaa5f, (q15_t)0x5f1f, (q15_t)0xaa5a,
+  (q15_t)0x5f1a, (q15_t)0xaa55, (q15_t)0x5f16, (q15_t)0xaa51, (q15_t)0x5f12, (q15_t)0xaa4c, (q15_t)0x5f0e, (q15_t)0xaa47,
+  (q15_t)0x5f0a, (q15_t)0xaa43, (q15_t)0x5f05, (q15_t)0xaa3e, (q15_t)0x5f01, (q15_t)0xaa39, (q15_t)0x5efd, (q15_t)0xaa35,
+  (q15_t)0x5ef9, (q15_t)0xaa30, (q15_t)0x5ef5, (q15_t)0xaa2b, (q15_t)0x5ef0, (q15_t)0xaa27, (q15_t)0x5eec, (q15_t)0xaa22,
+  (q15_t)0x5ee8, (q15_t)0xaa1d, (q15_t)0x5ee4, (q15_t)0xaa19, (q15_t)0x5edf, (q15_t)0xaa14, (q15_t)0x5edb, (q15_t)0xaa10,
+  (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5ed3, (q15_t)0xaa06, (q15_t)0x5ecf, (q15_t)0xaa02, (q15_t)0x5eca, (q15_t)0xa9fd,
+  (q15_t)0x5ec6, (q15_t)0xa9f8, (q15_t)0x5ec2, (q15_t)0xa9f4, (q15_t)0x5ebe, (q15_t)0xa9ef, (q15_t)0x5eb9, (q15_t)0xa9ea,
+  (q15_t)0x5eb5, (q15_t)0xa9e6, (q15_t)0x5eb1, (q15_t)0xa9e1, (q15_t)0x5ead, (q15_t)0xa9dc, (q15_t)0x5ea9, (q15_t)0xa9d8,
+  (q15_t)0x5ea4, (q15_t)0xa9d3, (q15_t)0x5ea0, (q15_t)0xa9ce, (q15_t)0x5e9c, (q15_t)0xa9ca, (q15_t)0x5e98, (q15_t)0xa9c5,
+  (q15_t)0x5e93, (q15_t)0xa9c0, (q15_t)0x5e8f, (q15_t)0xa9bc, (q15_t)0x5e8b, (q15_t)0xa9b7, (q15_t)0x5e87, (q15_t)0xa9b3,
+  (q15_t)0x5e82, (q15_t)0xa9ae, (q15_t)0x5e7e, (q15_t)0xa9a9, (q15_t)0x5e7a, (q15_t)0xa9a5, (q15_t)0x5e76, (q15_t)0xa9a0,
+  (q15_t)0x5e71, (q15_t)0xa99b, (q15_t)0x5e6d, (q15_t)0xa997, (q15_t)0x5e69, (q15_t)0xa992, (q15_t)0x5e65, (q15_t)0xa98d,
+  (q15_t)0x5e60, (q15_t)0xa989, (q15_t)0x5e5c, (q15_t)0xa984, (q15_t)0x5e58, (q15_t)0xa980, (q15_t)0x5e54, (q15_t)0xa97b,
+  (q15_t)0x5e50, (q15_t)0xa976, (q15_t)0x5e4b, (q15_t)0xa972, (q15_t)0x5e47, (q15_t)0xa96d, (q15_t)0x5e43, (q15_t)0xa968,
+  (q15_t)0x5e3f, (q15_t)0xa964, (q15_t)0x5e3a, (q15_t)0xa95f, (q15_t)0x5e36, (q15_t)0xa95b, (q15_t)0x5e32, (q15_t)0xa956,
+  (q15_t)0x5e2d, (q15_t)0xa951, (q15_t)0x5e29, (q15_t)0xa94d, (q15_t)0x5e25, (q15_t)0xa948, (q15_t)0x5e21, (q15_t)0xa943,
+  (q15_t)0x5e1c, (q15_t)0xa93f, (q15_t)0x5e18, (q15_t)0xa93a, (q15_t)0x5e14, (q15_t)0xa936, (q15_t)0x5e10, (q15_t)0xa931,
+  (q15_t)0x5e0b, (q15_t)0xa92c, (q15_t)0x5e07, (q15_t)0xa928, (q15_t)0x5e03, (q15_t)0xa923, (q15_t)0x5dff, (q15_t)0xa91e,
+  (q15_t)0x5dfa, (q15_t)0xa91a, (q15_t)0x5df6, (q15_t)0xa915, (q15_t)0x5df2, (q15_t)0xa911, (q15_t)0x5dee, (q15_t)0xa90c,
+  (q15_t)0x5de9, (q15_t)0xa907, (q15_t)0x5de5, (q15_t)0xa903, (q15_t)0x5de1, (q15_t)0xa8fe, (q15_t)0x5ddc, (q15_t)0xa8fa,
+  (q15_t)0x5dd8, (q15_t)0xa8f5, (q15_t)0x5dd4, (q15_t)0xa8f0, (q15_t)0x5dd0, (q15_t)0xa8ec, (q15_t)0x5dcb, (q15_t)0xa8e7,
+  (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5dc3, (q15_t)0xa8de, (q15_t)0x5dbf, (q15_t)0xa8d9, (q15_t)0x5dba, (q15_t)0xa8d5,
+  (q15_t)0x5db6, (q15_t)0xa8d0, (q15_t)0x5db2, (q15_t)0xa8cc, (q15_t)0x5dad, (q15_t)0xa8c7, (q15_t)0x5da9, (q15_t)0xa8c2,
+  (q15_t)0x5da5, (q15_t)0xa8be, (q15_t)0x5da1, (q15_t)0xa8b9, (q15_t)0x5d9c, (q15_t)0xa8b5, (q15_t)0x5d98, (q15_t)0xa8b0,
+  (q15_t)0x5d94, (q15_t)0xa8ab, (q15_t)0x5d8f, (q15_t)0xa8a7, (q15_t)0x5d8b, (q15_t)0xa8a2, (q15_t)0x5d87, (q15_t)0xa89e,
+  (q15_t)0x5d83, (q15_t)0xa899, (q15_t)0x5d7e, (q15_t)0xa894, (q15_t)0x5d7a, (q15_t)0xa890, (q15_t)0x5d76, (q15_t)0xa88b,
+  (q15_t)0x5d71, (q15_t)0xa887, (q15_t)0x5d6d, (q15_t)0xa882, (q15_t)0x5d69, (q15_t)0xa87d, (q15_t)0x5d65, (q15_t)0xa879,
+  (q15_t)0x5d60, (q15_t)0xa874, (q15_t)0x5d5c, (q15_t)0xa870, (q15_t)0x5d58, (q15_t)0xa86b, (q15_t)0x5d53, (q15_t)0xa867,
+  (q15_t)0x5d4f, (q15_t)0xa862, (q15_t)0x5d4b, (q15_t)0xa85d, (q15_t)0x5d46, (q15_t)0xa859, (q15_t)0x5d42, (q15_t)0xa854,
+  (q15_t)0x5d3e, (q15_t)0xa850, (q15_t)0x5d3a, (q15_t)0xa84b, (q15_t)0x5d35, (q15_t)0xa847, (q15_t)0x5d31, (q15_t)0xa842,
+  (q15_t)0x5d2d, (q15_t)0xa83d, (q15_t)0x5d28, (q15_t)0xa839, (q15_t)0x5d24, (q15_t)0xa834, (q15_t)0x5d20, (q15_t)0xa830,
+  (q15_t)0x5d1b, (q15_t)0xa82b, (q15_t)0x5d17, (q15_t)0xa827, (q15_t)0x5d13, (q15_t)0xa822, (q15_t)0x5d0e, (q15_t)0xa81d,
+  (q15_t)0x5d0a, (q15_t)0xa819, (q15_t)0x5d06, (q15_t)0xa814, (q15_t)0x5d01, (q15_t)0xa810, (q15_t)0x5cfd, (q15_t)0xa80b,
+  (q15_t)0x5cf9, (q15_t)0xa807, (q15_t)0x5cf5, (q15_t)0xa802, (q15_t)0x5cf0, (q15_t)0xa7fd, (q15_t)0x5cec, (q15_t)0xa7f9,
+  (q15_t)0x5ce8, (q15_t)0xa7f4, (q15_t)0x5ce3, (q15_t)0xa7f0, (q15_t)0x5cdf, (q15_t)0xa7eb, (q15_t)0x5cdb, (q15_t)0xa7e7,
+  (q15_t)0x5cd6, (q15_t)0xa7e2, (q15_t)0x5cd2, (q15_t)0xa7de, (q15_t)0x5cce, (q15_t)0xa7d9, (q15_t)0x5cc9, (q15_t)0xa7d4,
+  (q15_t)0x5cc5, (q15_t)0xa7d0, (q15_t)0x5cc1, (q15_t)0xa7cb, (q15_t)0x5cbc, (q15_t)0xa7c7, (q15_t)0x5cb8, (q15_t)0xa7c2,
+  (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5caf, (q15_t)0xa7b9, (q15_t)0x5cab, (q15_t)0xa7b5, (q15_t)0x5ca7, (q15_t)0xa7b0,
+  (q15_t)0x5ca2, (q15_t)0xa7ab, (q15_t)0x5c9e, (q15_t)0xa7a7, (q15_t)0x5c9a, (q15_t)0xa7a2, (q15_t)0x5c95, (q15_t)0xa79e,
+  (q15_t)0x5c91, (q15_t)0xa799, (q15_t)0x5c8d, (q15_t)0xa795, (q15_t)0x5c88, (q15_t)0xa790, (q15_t)0x5c84, (q15_t)0xa78c,
+  (q15_t)0x5c80, (q15_t)0xa787, (q15_t)0x5c7b, (q15_t)0xa783, (q15_t)0x5c77, (q15_t)0xa77e, (q15_t)0x5c73, (q15_t)0xa779,
+  (q15_t)0x5c6e, (q15_t)0xa775, (q15_t)0x5c6a, (q15_t)0xa770, (q15_t)0x5c66, (q15_t)0xa76c, (q15_t)0x5c61, (q15_t)0xa767,
+  (q15_t)0x5c5d, (q15_t)0xa763, (q15_t)0x5c58, (q15_t)0xa75e, (q15_t)0x5c54, (q15_t)0xa75a, (q15_t)0x5c50, (q15_t)0xa755,
+  (q15_t)0x5c4b, (q15_t)0xa751, (q15_t)0x5c47, (q15_t)0xa74c, (q15_t)0x5c43, (q15_t)0xa748, (q15_t)0x5c3e, (q15_t)0xa743,
+  (q15_t)0x5c3a, (q15_t)0xa73f, (q15_t)0x5c36, (q15_t)0xa73a, (q15_t)0x5c31, (q15_t)0xa735, (q15_t)0x5c2d, (q15_t)0xa731,
+  (q15_t)0x5c29, (q15_t)0xa72c, (q15_t)0x5c24, (q15_t)0xa728, (q15_t)0x5c20, (q15_t)0xa723, (q15_t)0x5c1b, (q15_t)0xa71f,
+  (q15_t)0x5c17, (q15_t)0xa71a, (q15_t)0x5c13, (q15_t)0xa716, (q15_t)0x5c0e, (q15_t)0xa711, (q15_t)0x5c0a, (q15_t)0xa70d,
+  (q15_t)0x5c06, (q15_t)0xa708, (q15_t)0x5c01, (q15_t)0xa704, (q15_t)0x5bfd, (q15_t)0xa6ff, (q15_t)0x5bf9, (q15_t)0xa6fb,
+  (q15_t)0x5bf4, (q15_t)0xa6f6, (q15_t)0x5bf0, (q15_t)0xa6f2, (q15_t)0x5beb, (q15_t)0xa6ed, (q15_t)0x5be7, (q15_t)0xa6e9,
+  (q15_t)0x5be3, (q15_t)0xa6e4, (q15_t)0x5bde, (q15_t)0xa6e0, (q15_t)0x5bda, (q15_t)0xa6db, (q15_t)0x5bd6, (q15_t)0xa6d7,
+  (q15_t)0x5bd1, (q15_t)0xa6d2, (q15_t)0x5bcd, (q15_t)0xa6ce, (q15_t)0x5bc8, (q15_t)0xa6c9, (q15_t)0x5bc4, (q15_t)0xa6c5,
+  (q15_t)0x5bc0, (q15_t)0xa6c0, (q15_t)0x5bbb, (q15_t)0xa6bc, (q15_t)0x5bb7, (q15_t)0xa6b7, (q15_t)0x5bb2, (q15_t)0xa6b3,
+  (q15_t)0x5bae, (q15_t)0xa6ae, (q15_t)0x5baa, (q15_t)0xa6aa, (q15_t)0x5ba5, (q15_t)0xa6a5, (q15_t)0x5ba1, (q15_t)0xa6a1,
+  (q15_t)0x5b9d, (q15_t)0xa69c, (q15_t)0x5b98, (q15_t)0xa698, (q15_t)0x5b94, (q15_t)0xa693, (q15_t)0x5b8f, (q15_t)0xa68f,
+  (q15_t)0x5b8b, (q15_t)0xa68a, (q15_t)0x5b87, (q15_t)0xa686, (q15_t)0x5b82, (q15_t)0xa681, (q15_t)0x5b7e, (q15_t)0xa67d,
+  (q15_t)0x5b79, (q15_t)0xa678, (q15_t)0x5b75, (q15_t)0xa674, (q15_t)0x5b71, (q15_t)0xa66f, (q15_t)0x5b6c, (q15_t)0xa66b,
+  (q15_t)0x5b68, (q15_t)0xa666, (q15_t)0x5b63, (q15_t)0xa662, (q15_t)0x5b5f, (q15_t)0xa65d, (q15_t)0x5b5b, (q15_t)0xa659,
+  (q15_t)0x5b56, (q15_t)0xa654, (q15_t)0x5b52, (q15_t)0xa650, (q15_t)0x5b4d, (q15_t)0xa64b, (q15_t)0x5b49, (q15_t)0xa647,
+  (q15_t)0x5b45, (q15_t)0xa642, (q15_t)0x5b40, (q15_t)0xa63e, (q15_t)0x5b3c, (q15_t)0xa639, (q15_t)0x5b37, (q15_t)0xa635,
+  (q15_t)0x5b33, (q15_t)0xa630, (q15_t)0x5b2f, (q15_t)0xa62c, (q15_t)0x5b2a, (q15_t)0xa627, (q15_t)0x5b26, (q15_t)0xa623,
+  (q15_t)0x5b21, (q15_t)0xa61f, (q15_t)0x5b1d, (q15_t)0xa61a, (q15_t)0x5b19, (q15_t)0xa616, (q15_t)0x5b14, (q15_t)0xa611,
+  (q15_t)0x5b10, (q15_t)0xa60d, (q15_t)0x5b0b, (q15_t)0xa608, (q15_t)0x5b07, (q15_t)0xa604, (q15_t)0x5b02, (q15_t)0xa5ff,
+  (q15_t)0x5afe, (q15_t)0xa5fb, (q15_t)0x5afa, (q15_t)0xa5f6, (q15_t)0x5af5, (q15_t)0xa5f2, (q15_t)0x5af1, (q15_t)0xa5ed,
+  (q15_t)0x5aec, (q15_t)0xa5e9, (q15_t)0x5ae8, (q15_t)0xa5e4, (q15_t)0x5ae4, (q15_t)0xa5e0, (q15_t)0x5adf, (q15_t)0xa5dc,
+  (q15_t)0x5adb, (q15_t)0xa5d7, (q15_t)0x5ad6, (q15_t)0xa5d3, (q15_t)0x5ad2, (q15_t)0xa5ce, (q15_t)0x5acd, (q15_t)0xa5ca,
+  (q15_t)0x5ac9, (q15_t)0xa5c5, (q15_t)0x5ac5, (q15_t)0xa5c1, (q15_t)0x5ac0, (q15_t)0xa5bc, (q15_t)0x5abc, (q15_t)0xa5b8,
+  (q15_t)0x5ab7, (q15_t)0xa5b3, (q15_t)0x5ab3, (q15_t)0xa5af, (q15_t)0x5aae, (q15_t)0xa5aa, (q15_t)0x5aaa, (q15_t)0xa5a6,
+  (q15_t)0x5aa5, (q15_t)0xa5a2, (q15_t)0x5aa1, (q15_t)0xa59d, (q15_t)0x5a9d, (q15_t)0xa599, (q15_t)0x5a98, (q15_t)0xa594,
+  (q15_t)0x5a94, (q15_t)0xa590, (q15_t)0x5a8f, (q15_t)0xa58b, (q15_t)0x5a8b, (q15_t)0xa587, (q15_t)0x5a86, (q15_t)0xa582,
+  (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5a7e, (q15_t)0xa57a, (q15_t)0x5a79, (q15_t)0xa575, (q15_t)0x5a75, (q15_t)0xa571,
+  (q15_t)0x5a70, (q15_t)0xa56c, (q15_t)0x5a6c, (q15_t)0xa568, (q15_t)0x5a67, (q15_t)0xa563, (q15_t)0x5a63, (q15_t)0xa55f,
+  (q15_t)0x5a5e, (q15_t)0xa55b, (q15_t)0x5a5a, (q15_t)0xa556, (q15_t)0x5a56, (q15_t)0xa552, (q15_t)0x5a51, (q15_t)0xa54d,
+  (q15_t)0x5a4d, (q15_t)0xa549, (q15_t)0x5a48, (q15_t)0xa544, (q15_t)0x5a44, (q15_t)0xa540, (q15_t)0x5a3f, (q15_t)0xa53b,
+  (q15_t)0x5a3b, (q15_t)0xa537, (q15_t)0x5a36, (q15_t)0xa533, (q15_t)0x5a32, (q15_t)0xa52e, (q15_t)0x5a2d, (q15_t)0xa52a,
+  (q15_t)0x5a29, (q15_t)0xa525, (q15_t)0x5a24, (q15_t)0xa521, (q15_t)0x5a20, (q15_t)0xa51c, (q15_t)0x5a1c, (q15_t)0xa518,
+  (q15_t)0x5a17, (q15_t)0xa514, (q15_t)0x5a13, (q15_t)0xa50f, (q15_t)0x5a0e, (q15_t)0xa50b, (q15_t)0x5a0a, (q15_t)0xa506,
+  (q15_t)0x5a05, (q15_t)0xa502, (q15_t)0x5a01, (q15_t)0xa4fe, (q15_t)0x59fc, (q15_t)0xa4f9, (q15_t)0x59f8, (q15_t)0xa4f5,
+  (q15_t)0x59f3, (q15_t)0xa4f0, (q15_t)0x59ef, (q15_t)0xa4ec, (q15_t)0x59ea, (q15_t)0xa4e7, (q15_t)0x59e6, (q15_t)0xa4e3,
+  (q15_t)0x59e1, (q15_t)0xa4df, (q15_t)0x59dd, (q15_t)0xa4da, (q15_t)0x59d9, (q15_t)0xa4d6, (q15_t)0x59d4, (q15_t)0xa4d1,
+  (q15_t)0x59d0, (q15_t)0xa4cd, (q15_t)0x59cb, (q15_t)0xa4c9, (q15_t)0x59c7, (q15_t)0xa4c4, (q15_t)0x59c2, (q15_t)0xa4c0,
+  (q15_t)0x59be, (q15_t)0xa4bb, (q15_t)0x59b9, (q15_t)0xa4b7, (q15_t)0x59b5, (q15_t)0xa4b3, (q15_t)0x59b0, (q15_t)0xa4ae,
+  (q15_t)0x59ac, (q15_t)0xa4aa, (q15_t)0x59a7, (q15_t)0xa4a5, (q15_t)0x59a3, (q15_t)0xa4a1, (q15_t)0x599e, (q15_t)0xa49d,
+  (q15_t)0x599a, (q15_t)0xa498, (q15_t)0x5995, (q15_t)0xa494, (q15_t)0x5991, (q15_t)0xa48f, (q15_t)0x598c, (q15_t)0xa48b,
+  (q15_t)0x5988, (q15_t)0xa487, (q15_t)0x5983, (q15_t)0xa482, (q15_t)0x597f, (q15_t)0xa47e, (q15_t)0x597a, (q15_t)0xa479,
+  (q15_t)0x5976, (q15_t)0xa475, (q15_t)0x5971, (q15_t)0xa471, (q15_t)0x596d, (q15_t)0xa46c, (q15_t)0x5968, (q15_t)0xa468,
+  (q15_t)0x5964, (q15_t)0xa463, (q15_t)0x595f, (q15_t)0xa45f, (q15_t)0x595b, (q15_t)0xa45b, (q15_t)0x5956, (q15_t)0xa456,
+  (q15_t)0x5952, (q15_t)0xa452, (q15_t)0x594d, (q15_t)0xa44e, (q15_t)0x5949, (q15_t)0xa449, (q15_t)0x5944, (q15_t)0xa445,
+  (q15_t)0x5940, (q15_t)0xa440, (q15_t)0x593b, (q15_t)0xa43c, (q15_t)0x5937, (q15_t)0xa438, (q15_t)0x5932, (q15_t)0xa433,
+  (q15_t)0x592e, (q15_t)0xa42f, (q15_t)0x5929, (q15_t)0xa42a, (q15_t)0x5925, (q15_t)0xa426, (q15_t)0x5920, (q15_t)0xa422,
+  (q15_t)0x591c, (q15_t)0xa41d, (q15_t)0x5917, (q15_t)0xa419, (q15_t)0x5913, (q15_t)0xa415, (q15_t)0x590e, (q15_t)0xa410,
+  (q15_t)0x590a, (q15_t)0xa40c, (q15_t)0x5905, (q15_t)0xa407, (q15_t)0x5901, (q15_t)0xa403, (q15_t)0x58fc, (q15_t)0xa3ff,
+  (q15_t)0x58f8, (q15_t)0xa3fa, (q15_t)0x58f3, (q15_t)0xa3f6, (q15_t)0x58ef, (q15_t)0xa3f2, (q15_t)0x58ea, (q15_t)0xa3ed,
+  (q15_t)0x58e6, (q15_t)0xa3e9, (q15_t)0x58e1, (q15_t)0xa3e5, (q15_t)0x58dd, (q15_t)0xa3e0, (q15_t)0x58d8, (q15_t)0xa3dc,
+  (q15_t)0x58d4, (q15_t)0xa3d7, (q15_t)0x58cf, (q15_t)0xa3d3, (q15_t)0x58cb, (q15_t)0xa3cf, (q15_t)0x58c6, (q15_t)0xa3ca,
+  (q15_t)0x58c1, (q15_t)0xa3c6, (q15_t)0x58bd, (q15_t)0xa3c2, (q15_t)0x58b8, (q15_t)0xa3bd, (q15_t)0x58b4, (q15_t)0xa3b9,
+  (q15_t)0x58af, (q15_t)0xa3b5, (q15_t)0x58ab, (q15_t)0xa3b0, (q15_t)0x58a6, (q15_t)0xa3ac, (q15_t)0x58a2, (q15_t)0xa3a8,
+  (q15_t)0x589d, (q15_t)0xa3a3, (q15_t)0x5899, (q15_t)0xa39f, (q15_t)0x5894, (q15_t)0xa39a, (q15_t)0x5890, (q15_t)0xa396,
+  (q15_t)0x588b, (q15_t)0xa392, (q15_t)0x5887, (q15_t)0xa38d, (q15_t)0x5882, (q15_t)0xa389, (q15_t)0x587d, (q15_t)0xa385,
+  (q15_t)0x5879, (q15_t)0xa380, (q15_t)0x5874, (q15_t)0xa37c, (q15_t)0x5870, (q15_t)0xa378, (q15_t)0x586b, (q15_t)0xa373,
+  (q15_t)0x5867, (q15_t)0xa36f, (q15_t)0x5862, (q15_t)0xa36b, (q15_t)0x585e, (q15_t)0xa366, (q15_t)0x5859, (q15_t)0xa362,
+  (q15_t)0x5855, (q15_t)0xa35e, (q15_t)0x5850, (q15_t)0xa359, (q15_t)0x584b, (q15_t)0xa355, (q15_t)0x5847, (q15_t)0xa351,
+  (q15_t)0x5842, (q15_t)0xa34c, (q15_t)0x583e, (q15_t)0xa348, (q15_t)0x5839, (q15_t)0xa344, (q15_t)0x5835, (q15_t)0xa33f,
+  (q15_t)0x5830, (q15_t)0xa33b, (q15_t)0x582c, (q15_t)0xa337, (q15_t)0x5827, (q15_t)0xa332, (q15_t)0x5822, (q15_t)0xa32e,
+  (q15_t)0x581e, (q15_t)0xa32a, (q15_t)0x5819, (q15_t)0xa325, (q15_t)0x5815, (q15_t)0xa321, (q15_t)0x5810, (q15_t)0xa31d,
+  (q15_t)0x580c, (q15_t)0xa318, (q15_t)0x5807, (q15_t)0xa314, (q15_t)0x5803, (q15_t)0xa310, (q15_t)0x57fe, (q15_t)0xa30b,
+  (q15_t)0x57f9, (q15_t)0xa307, (q15_t)0x57f5, (q15_t)0xa303, (q15_t)0x57f0, (q15_t)0xa2ff, (q15_t)0x57ec, (q15_t)0xa2fa,
+  (q15_t)0x57e7, (q15_t)0xa2f6, (q15_t)0x57e3, (q15_t)0xa2f2, (q15_t)0x57de, (q15_t)0xa2ed, (q15_t)0x57d9, (q15_t)0xa2e9,
+  (q15_t)0x57d5, (q15_t)0xa2e5, (q15_t)0x57d0, (q15_t)0xa2e0, (q15_t)0x57cc, (q15_t)0xa2dc, (q15_t)0x57c7, (q15_t)0xa2d8,
+  (q15_t)0x57c3, (q15_t)0xa2d3, (q15_t)0x57be, (q15_t)0xa2cf, (q15_t)0x57b9, (q15_t)0xa2cb, (q15_t)0x57b5, (q15_t)0xa2c6,
+  (q15_t)0x57b0, (q15_t)0xa2c2, (q15_t)0x57ac, (q15_t)0xa2be, (q15_t)0x57a7, (q15_t)0xa2ba, (q15_t)0x57a3, (q15_t)0xa2b5,
+  (q15_t)0x579e, (q15_t)0xa2b1, (q15_t)0x5799, (q15_t)0xa2ad, (q15_t)0x5795, (q15_t)0xa2a8, (q15_t)0x5790, (q15_t)0xa2a4,
+  (q15_t)0x578c, (q15_t)0xa2a0, (q15_t)0x5787, (q15_t)0xa29b, (q15_t)0x5783, (q15_t)0xa297, (q15_t)0x577e, (q15_t)0xa293,
+  (q15_t)0x5779, (q15_t)0xa28f, (q15_t)0x5775, (q15_t)0xa28a, (q15_t)0x5770, (q15_t)0xa286, (q15_t)0x576c, (q15_t)0xa282,
+  (q15_t)0x5767, (q15_t)0xa27d, (q15_t)0x5762, (q15_t)0xa279, (q15_t)0x575e, (q15_t)0xa275, (q15_t)0x5759, (q15_t)0xa271,
+  (q15_t)0x5755, (q15_t)0xa26c, (q15_t)0x5750, (q15_t)0xa268, (q15_t)0x574b, (q15_t)0xa264, (q15_t)0x5747, (q15_t)0xa25f,
+  (q15_t)0x5742, (q15_t)0xa25b, (q15_t)0x573e, (q15_t)0xa257, (q15_t)0x5739, (q15_t)0xa253, (q15_t)0x5734, (q15_t)0xa24e,
+  (q15_t)0x5730, (q15_t)0xa24a, (q15_t)0x572b, (q15_t)0xa246, (q15_t)0x5727, (q15_t)0xa241, (q15_t)0x5722, (q15_t)0xa23d,
+  (q15_t)0x571d, (q15_t)0xa239, (q15_t)0x5719, (q15_t)0xa235, (q15_t)0x5714, (q15_t)0xa230, (q15_t)0x5710, (q15_t)0xa22c,
+  (q15_t)0x570b, (q15_t)0xa228, (q15_t)0x5706, (q15_t)0xa224, (q15_t)0x5702, (q15_t)0xa21f, (q15_t)0x56fd, (q15_t)0xa21b,
+  (q15_t)0x56f9, (q15_t)0xa217, (q15_t)0x56f4, (q15_t)0xa212, (q15_t)0x56ef, (q15_t)0xa20e, (q15_t)0x56eb, (q15_t)0xa20a,
+  (q15_t)0x56e6, (q15_t)0xa206, (q15_t)0x56e2, (q15_t)0xa201, (q15_t)0x56dd, (q15_t)0xa1fd, (q15_t)0x56d8, (q15_t)0xa1f9,
+  (q15_t)0x56d4, (q15_t)0xa1f5, (q15_t)0x56cf, (q15_t)0xa1f0, (q15_t)0x56ca, (q15_t)0xa1ec, (q15_t)0x56c6, (q15_t)0xa1e8,
+  (q15_t)0x56c1, (q15_t)0xa1e4, (q15_t)0x56bd, (q15_t)0xa1df, (q15_t)0x56b8, (q15_t)0xa1db, (q15_t)0x56b3, (q15_t)0xa1d7,
+  (q15_t)0x56af, (q15_t)0xa1d3, (q15_t)0x56aa, (q15_t)0xa1ce, (q15_t)0x56a5, (q15_t)0xa1ca, (q15_t)0x56a1, (q15_t)0xa1c6,
+  (q15_t)0x569c, (q15_t)0xa1c1, (q15_t)0x5698, (q15_t)0xa1bd, (q15_t)0x5693, (q15_t)0xa1b9, (q15_t)0x568e, (q15_t)0xa1b5,
+  (q15_t)0x568a, (q15_t)0xa1b0, (q15_t)0x5685, (q15_t)0xa1ac, (q15_t)0x5680, (q15_t)0xa1a8, (q15_t)0x567c, (q15_t)0xa1a4,
+  (q15_t)0x5677, (q15_t)0xa1a0, (q15_t)0x5673, (q15_t)0xa19b, (q15_t)0x566e, (q15_t)0xa197, (q15_t)0x5669, (q15_t)0xa193,
+  (q15_t)0x5665, (q15_t)0xa18f, (q15_t)0x5660, (q15_t)0xa18a, (q15_t)0x565b, (q15_t)0xa186, (q15_t)0x5657, (q15_t)0xa182,
+  (q15_t)0x5652, (q15_t)0xa17e, (q15_t)0x564d, (q15_t)0xa179, (q15_t)0x5649, (q15_t)0xa175, (q15_t)0x5644, (q15_t)0xa171,
+  (q15_t)0x5640, (q15_t)0xa16d, (q15_t)0x563b, (q15_t)0xa168, (q15_t)0x5636, (q15_t)0xa164, (q15_t)0x5632, (q15_t)0xa160,
+  (q15_t)0x562d, (q15_t)0xa15c, (q15_t)0x5628, (q15_t)0xa157, (q15_t)0x5624, (q15_t)0xa153, (q15_t)0x561f, (q15_t)0xa14f,
+  (q15_t)0x561a, (q15_t)0xa14b, (q15_t)0x5616, (q15_t)0xa147, (q15_t)0x5611, (q15_t)0xa142, (q15_t)0x560c, (q15_t)0xa13e,
+  (q15_t)0x5608, (q15_t)0xa13a, (q15_t)0x5603, (q15_t)0xa136, (q15_t)0x55fe, (q15_t)0xa131, (q15_t)0x55fa, (q15_t)0xa12d,
+  (q15_t)0x55f5, (q15_t)0xa129, (q15_t)0x55f0, (q15_t)0xa125, (q15_t)0x55ec, (q15_t)0xa121, (q15_t)0x55e7, (q15_t)0xa11c,
+  (q15_t)0x55e3, (q15_t)0xa118, (q15_t)0x55de, (q15_t)0xa114, (q15_t)0x55d9, (q15_t)0xa110, (q15_t)0x55d5, (q15_t)0xa10b,
+  (q15_t)0x55d0, (q15_t)0xa107, (q15_t)0x55cb, (q15_t)0xa103, (q15_t)0x55c7, (q15_t)0xa0ff, (q15_t)0x55c2, (q15_t)0xa0fb,
+  (q15_t)0x55bd, (q15_t)0xa0f6, (q15_t)0x55b9, (q15_t)0xa0f2, (q15_t)0x55b4, (q15_t)0xa0ee, (q15_t)0x55af, (q15_t)0xa0ea,
+  (q15_t)0x55ab, (q15_t)0xa0e6, (q15_t)0x55a6, (q15_t)0xa0e1, (q15_t)0x55a1, (q15_t)0xa0dd, (q15_t)0x559d, (q15_t)0xa0d9,
+  (q15_t)0x5598, (q15_t)0xa0d5, (q15_t)0x5593, (q15_t)0xa0d1, (q15_t)0x558f, (q15_t)0xa0cc, (q15_t)0x558a, (q15_t)0xa0c8,
+  (q15_t)0x5585, (q15_t)0xa0c4, (q15_t)0x5581, (q15_t)0xa0c0, (q15_t)0x557c, (q15_t)0xa0bc, (q15_t)0x5577, (q15_t)0xa0b7,
+  (q15_t)0x5572, (q15_t)0xa0b3, (q15_t)0x556e, (q15_t)0xa0af, (q15_t)0x5569, (q15_t)0xa0ab, (q15_t)0x5564, (q15_t)0xa0a7,
+  (q15_t)0x5560, (q15_t)0xa0a2, (q15_t)0x555b, (q15_t)0xa09e, (q15_t)0x5556, (q15_t)0xa09a, (q15_t)0x5552, (q15_t)0xa096,
+  (q15_t)0x554d, (q15_t)0xa092, (q15_t)0x5548, (q15_t)0xa08e, (q15_t)0x5544, (q15_t)0xa089, (q15_t)0x553f, (q15_t)0xa085,
+  (q15_t)0x553a, (q15_t)0xa081, (q15_t)0x5536, (q15_t)0xa07d, (q15_t)0x5531, (q15_t)0xa079, (q15_t)0x552c, (q15_t)0xa074,
+  (q15_t)0x5528, (q15_t)0xa070, (q15_t)0x5523, (q15_t)0xa06c, (q15_t)0x551e, (q15_t)0xa068, (q15_t)0x5519, (q15_t)0xa064,
+  (q15_t)0x5515, (q15_t)0xa060, (q15_t)0x5510, (q15_t)0xa05b, (q15_t)0x550b, (q15_t)0xa057, (q15_t)0x5507, (q15_t)0xa053,
+  (q15_t)0x5502, (q15_t)0xa04f, (q15_t)0x54fd, (q15_t)0xa04b, (q15_t)0x54f9, (q15_t)0xa046, (q15_t)0x54f4, (q15_t)0xa042,
+  (q15_t)0x54ef, (q15_t)0xa03e, (q15_t)0x54ea, (q15_t)0xa03a, (q15_t)0x54e6, (q15_t)0xa036, (q15_t)0x54e1, (q15_t)0xa032,
+  (q15_t)0x54dc, (q15_t)0xa02d, (q15_t)0x54d8, (q15_t)0xa029, (q15_t)0x54d3, (q15_t)0xa025, (q15_t)0x54ce, (q15_t)0xa021,
+  (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x54c5, (q15_t)0xa019, (q15_t)0x54c0, (q15_t)0xa014, (q15_t)0x54bb, (q15_t)0xa010,
+  (q15_t)0x54b7, (q15_t)0xa00c, (q15_t)0x54b2, (q15_t)0xa008, (q15_t)0x54ad, (q15_t)0xa004, (q15_t)0x54a9, (q15_t)0xa000,
+  (q15_t)0x54a4, (q15_t)0x9ffc, (q15_t)0x549f, (q15_t)0x9ff7, (q15_t)0x549a, (q15_t)0x9ff3, (q15_t)0x5496, (q15_t)0x9fef,
+  (q15_t)0x5491, (q15_t)0x9feb, (q15_t)0x548c, (q15_t)0x9fe7, (q15_t)0x5488, (q15_t)0x9fe3, (q15_t)0x5483, (q15_t)0x9fde,
+  (q15_t)0x547e, (q15_t)0x9fda, (q15_t)0x5479, (q15_t)0x9fd6, (q15_t)0x5475, (q15_t)0x9fd2, (q15_t)0x5470, (q15_t)0x9fce,
+  (q15_t)0x546b, (q15_t)0x9fca, (q15_t)0x5467, (q15_t)0x9fc6, (q15_t)0x5462, (q15_t)0x9fc1, (q15_t)0x545d, (q15_t)0x9fbd,
+  (q15_t)0x5458, (q15_t)0x9fb9, (q15_t)0x5454, (q15_t)0x9fb5, (q15_t)0x544f, (q15_t)0x9fb1, (q15_t)0x544a, (q15_t)0x9fad,
+  (q15_t)0x5445, (q15_t)0x9fa9, (q15_t)0x5441, (q15_t)0x9fa4, (q15_t)0x543c, (q15_t)0x9fa0, (q15_t)0x5437, (q15_t)0x9f9c,
+  (q15_t)0x5433, (q15_t)0x9f98, (q15_t)0x542e, (q15_t)0x9f94, (q15_t)0x5429, (q15_t)0x9f90, (q15_t)0x5424, (q15_t)0x9f8c,
+  (q15_t)0x5420, (q15_t)0x9f88, (q15_t)0x541b, (q15_t)0x9f83, (q15_t)0x5416, (q15_t)0x9f7f, (q15_t)0x5411, (q15_t)0x9f7b,
+  (q15_t)0x540d, (q15_t)0x9f77, (q15_t)0x5408, (q15_t)0x9f73, (q15_t)0x5403, (q15_t)0x9f6f, (q15_t)0x53fe, (q15_t)0x9f6b,
+  (q15_t)0x53fa, (q15_t)0x9f67, (q15_t)0x53f5, (q15_t)0x9f62, (q15_t)0x53f0, (q15_t)0x9f5e, (q15_t)0x53eb, (q15_t)0x9f5a,
+  (q15_t)0x53e7, (q15_t)0x9f56, (q15_t)0x53e2, (q15_t)0x9f52, (q15_t)0x53dd, (q15_t)0x9f4e, (q15_t)0x53d8, (q15_t)0x9f4a,
+  (q15_t)0x53d4, (q15_t)0x9f46, (q15_t)0x53cf, (q15_t)0x9f41, (q15_t)0x53ca, (q15_t)0x9f3d, (q15_t)0x53c5, (q15_t)0x9f39,
+  (q15_t)0x53c1, (q15_t)0x9f35, (q15_t)0x53bc, (q15_t)0x9f31, (q15_t)0x53b7, (q15_t)0x9f2d, (q15_t)0x53b2, (q15_t)0x9f29,
+  (q15_t)0x53ae, (q15_t)0x9f25, (q15_t)0x53a9, (q15_t)0x9f21, (q15_t)0x53a4, (q15_t)0x9f1c, (q15_t)0x539f, (q15_t)0x9f18,
+  (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x5396, (q15_t)0x9f10, (q15_t)0x5391, (q15_t)0x9f0c, (q15_t)0x538c, (q15_t)0x9f08,
+  (q15_t)0x5388, (q15_t)0x9f04, (q15_t)0x5383, (q15_t)0x9f00, (q15_t)0x537e, (q15_t)0x9efc, (q15_t)0x5379, (q15_t)0x9ef8,
+  (q15_t)0x5375, (q15_t)0x9ef3, (q15_t)0x5370, (q15_t)0x9eef, (q15_t)0x536b, (q15_t)0x9eeb, (q15_t)0x5366, (q15_t)0x9ee7,
+  (q15_t)0x5362, (q15_t)0x9ee3, (q15_t)0x535d, (q15_t)0x9edf, (q15_t)0x5358, (q15_t)0x9edb, (q15_t)0x5353, (q15_t)0x9ed7,
+  (q15_t)0x534e, (q15_t)0x9ed3, (q15_t)0x534a, (q15_t)0x9ecf, (q15_t)0x5345, (q15_t)0x9ecb, (q15_t)0x5340, (q15_t)0x9ec6,
+  (q15_t)0x533b, (q15_t)0x9ec2, (q15_t)0x5337, (q15_t)0x9ebe, (q15_t)0x5332, (q15_t)0x9eba, (q15_t)0x532d, (q15_t)0x9eb6,
+  (q15_t)0x5328, (q15_t)0x9eb2, (q15_t)0x5323, (q15_t)0x9eae, (q15_t)0x531f, (q15_t)0x9eaa, (q15_t)0x531a, (q15_t)0x9ea6,
+  (q15_t)0x5315, (q15_t)0x9ea2, (q15_t)0x5310, (q15_t)0x9e9e, (q15_t)0x530c, (q15_t)0x9e9a, (q15_t)0x5307, (q15_t)0x9e95,
+  (q15_t)0x5302, (q15_t)0x9e91, (q15_t)0x52fd, (q15_t)0x9e8d, (q15_t)0x52f8, (q15_t)0x9e89, (q15_t)0x52f4, (q15_t)0x9e85,
+  (q15_t)0x52ef, (q15_t)0x9e81, (q15_t)0x52ea, (q15_t)0x9e7d, (q15_t)0x52e5, (q15_t)0x9e79, (q15_t)0x52e1, (q15_t)0x9e75,
+  (q15_t)0x52dc, (q15_t)0x9e71, (q15_t)0x52d7, (q15_t)0x9e6d, (q15_t)0x52d2, (q15_t)0x9e69, (q15_t)0x52cd, (q15_t)0x9e65,
+  (q15_t)0x52c9, (q15_t)0x9e61, (q15_t)0x52c4, (q15_t)0x9e5d, (q15_t)0x52bf, (q15_t)0x9e58, (q15_t)0x52ba, (q15_t)0x9e54,
+  (q15_t)0x52b5, (q15_t)0x9e50, (q15_t)0x52b1, (q15_t)0x9e4c, (q15_t)0x52ac, (q15_t)0x9e48, (q15_t)0x52a7, (q15_t)0x9e44,
+  (q15_t)0x52a2, (q15_t)0x9e40, (q15_t)0x529d, (q15_t)0x9e3c, (q15_t)0x5299, (q15_t)0x9e38, (q15_t)0x5294, (q15_t)0x9e34,
+  (q15_t)0x528f, (q15_t)0x9e30, (q15_t)0x528a, (q15_t)0x9e2c, (q15_t)0x5285, (q15_t)0x9e28, (q15_t)0x5281, (q15_t)0x9e24,
+  (q15_t)0x527c, (q15_t)0x9e20, (q15_t)0x5277, (q15_t)0x9e1c, (q15_t)0x5272, (q15_t)0x9e18, (q15_t)0x526d, (q15_t)0x9e14,
+  (q15_t)0x5269, (q15_t)0x9e0f, (q15_t)0x5264, (q15_t)0x9e0b, (q15_t)0x525f, (q15_t)0x9e07, (q15_t)0x525a, (q15_t)0x9e03,
+  (q15_t)0x5255, (q15_t)0x9dff, (q15_t)0x5251, (q15_t)0x9dfb, (q15_t)0x524c, (q15_t)0x9df7, (q15_t)0x5247, (q15_t)0x9df3,
+  (q15_t)0x5242, (q15_t)0x9def, (q15_t)0x523d, (q15_t)0x9deb, (q15_t)0x5238, (q15_t)0x9de7, (q15_t)0x5234, (q15_t)0x9de3,
+  (q15_t)0x522f, (q15_t)0x9ddf, (q15_t)0x522a, (q15_t)0x9ddb, (q15_t)0x5225, (q15_t)0x9dd7, (q15_t)0x5220, (q15_t)0x9dd3,
+  (q15_t)0x521c, (q15_t)0x9dcf, (q15_t)0x5217, (q15_t)0x9dcb, (q15_t)0x5212, (q15_t)0x9dc7, (q15_t)0x520d, (q15_t)0x9dc3,
+  (q15_t)0x5208, (q15_t)0x9dbf, (q15_t)0x5203, (q15_t)0x9dbb, (q15_t)0x51ff, (q15_t)0x9db7, (q15_t)0x51fa, (q15_t)0x9db3,
+  (q15_t)0x51f5, (q15_t)0x9daf, (q15_t)0x51f0, (q15_t)0x9dab, (q15_t)0x51eb, (q15_t)0x9da7, (q15_t)0x51e6, (q15_t)0x9da3,
+  (q15_t)0x51e2, (q15_t)0x9d9f, (q15_t)0x51dd, (q15_t)0x9d9b, (q15_t)0x51d8, (q15_t)0x9d97, (q15_t)0x51d3, (q15_t)0x9d93,
+  (q15_t)0x51ce, (q15_t)0x9d8f, (q15_t)0x51c9, (q15_t)0x9d8b, (q15_t)0x51c5, (q15_t)0x9d86, (q15_t)0x51c0, (q15_t)0x9d82,
+  (q15_t)0x51bb, (q15_t)0x9d7e, (q15_t)0x51b6, (q15_t)0x9d7a, (q15_t)0x51b1, (q15_t)0x9d76, (q15_t)0x51ac, (q15_t)0x9d72,
+  (q15_t)0x51a8, (q15_t)0x9d6e, (q15_t)0x51a3, (q15_t)0x9d6a, (q15_t)0x519e, (q15_t)0x9d66, (q15_t)0x5199, (q15_t)0x9d62,
+  (q15_t)0x5194, (q15_t)0x9d5e, (q15_t)0x518f, (q15_t)0x9d5a, (q15_t)0x518b, (q15_t)0x9d56, (q15_t)0x5186, (q15_t)0x9d52,
+  (q15_t)0x5181, (q15_t)0x9d4e, (q15_t)0x517c, (q15_t)0x9d4a, (q15_t)0x5177, (q15_t)0x9d46, (q15_t)0x5172, (q15_t)0x9d42,
+  (q15_t)0x516e, (q15_t)0x9d3e, (q15_t)0x5169, (q15_t)0x9d3a, (q15_t)0x5164, (q15_t)0x9d36, (q15_t)0x515f, (q15_t)0x9d32,
+  (q15_t)0x515a, (q15_t)0x9d2e, (q15_t)0x5155, (q15_t)0x9d2a, (q15_t)0x5150, (q15_t)0x9d26, (q15_t)0x514c, (q15_t)0x9d22,
+  (q15_t)0x5147, (q15_t)0x9d1e, (q15_t)0x5142, (q15_t)0x9d1a, (q15_t)0x513d, (q15_t)0x9d16, (q15_t)0x5138, (q15_t)0x9d12,
+  (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x512e, (q15_t)0x9d0b, (q15_t)0x512a, (q15_t)0x9d07, (q15_t)0x5125, (q15_t)0x9d03,
+  (q15_t)0x5120, (q15_t)0x9cff, (q15_t)0x511b, (q15_t)0x9cfb, (q15_t)0x5116, (q15_t)0x9cf7, (q15_t)0x5111, (q15_t)0x9cf3,
+  (q15_t)0x510c, (q15_t)0x9cef, (q15_t)0x5108, (q15_t)0x9ceb, (q15_t)0x5103, (q15_t)0x9ce7, (q15_t)0x50fe, (q15_t)0x9ce3,
+  (q15_t)0x50f9, (q15_t)0x9cdf, (q15_t)0x50f4, (q15_t)0x9cdb, (q15_t)0x50ef, (q15_t)0x9cd7, (q15_t)0x50ea, (q15_t)0x9cd3,
+  (q15_t)0x50e5, (q15_t)0x9ccf, (q15_t)0x50e1, (q15_t)0x9ccb, (q15_t)0x50dc, (q15_t)0x9cc7, (q15_t)0x50d7, (q15_t)0x9cc3,
+  (q15_t)0x50d2, (q15_t)0x9cbf, (q15_t)0x50cd, (q15_t)0x9cbb, (q15_t)0x50c8, (q15_t)0x9cb7, (q15_t)0x50c3, (q15_t)0x9cb3,
+  (q15_t)0x50bf, (q15_t)0x9caf, (q15_t)0x50ba, (q15_t)0x9cab, (q15_t)0x50b5, (q15_t)0x9ca7, (q15_t)0x50b0, (q15_t)0x9ca3,
+  (q15_t)0x50ab, (q15_t)0x9c9f, (q15_t)0x50a6, (q15_t)0x9c9b, (q15_t)0x50a1, (q15_t)0x9c97, (q15_t)0x509c, (q15_t)0x9c93,
+  (q15_t)0x5097, (q15_t)0x9c8f, (q15_t)0x5093, (q15_t)0x9c8b, (q15_t)0x508e, (q15_t)0x9c88, (q15_t)0x5089, (q15_t)0x9c84,
+  (q15_t)0x5084, (q15_t)0x9c80, (q15_t)0x507f, (q15_t)0x9c7c, (q15_t)0x507a, (q15_t)0x9c78, (q15_t)0x5075, (q15_t)0x9c74,
+  (q15_t)0x5070, (q15_t)0x9c70, (q15_t)0x506c, (q15_t)0x9c6c, (q15_t)0x5067, (q15_t)0x9c68, (q15_t)0x5062, (q15_t)0x9c64,
+  (q15_t)0x505d, (q15_t)0x9c60, (q15_t)0x5058, (q15_t)0x9c5c, (q15_t)0x5053, (q15_t)0x9c58, (q15_t)0x504e, (q15_t)0x9c54,
+  (q15_t)0x5049, (q15_t)0x9c50, (q15_t)0x5044, (q15_t)0x9c4c, (q15_t)0x503f, (q15_t)0x9c48, (q15_t)0x503b, (q15_t)0x9c44,
+  (q15_t)0x5036, (q15_t)0x9c40, (q15_t)0x5031, (q15_t)0x9c3d, (q15_t)0x502c, (q15_t)0x9c39, (q15_t)0x5027, (q15_t)0x9c35,
+  (q15_t)0x5022, (q15_t)0x9c31, (q15_t)0x501d, (q15_t)0x9c2d, (q15_t)0x5018, (q15_t)0x9c29, (q15_t)0x5013, (q15_t)0x9c25,
+  (q15_t)0x500f, (q15_t)0x9c21, (q15_t)0x500a, (q15_t)0x9c1d, (q15_t)0x5005, (q15_t)0x9c19, (q15_t)0x5000, (q15_t)0x9c15,
+  (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4ff6, (q15_t)0x9c0d, (q15_t)0x4ff1, (q15_t)0x9c09, (q15_t)0x4fec, (q15_t)0x9c06,
+  (q15_t)0x4fe7, (q15_t)0x9c02, (q15_t)0x4fe2, (q15_t)0x9bfe, (q15_t)0x4fdd, (q15_t)0x9bfa, (q15_t)0x4fd9, (q15_t)0x9bf6,
+  (q15_t)0x4fd4, (q15_t)0x9bf2, (q15_t)0x4fcf, (q15_t)0x9bee, (q15_t)0x4fca, (q15_t)0x9bea, (q15_t)0x4fc5, (q15_t)0x9be6,
+  (q15_t)0x4fc0, (q15_t)0x9be2, (q15_t)0x4fbb, (q15_t)0x9bde, (q15_t)0x4fb6, (q15_t)0x9bda, (q15_t)0x4fb1, (q15_t)0x9bd7,
+  (q15_t)0x4fac, (q15_t)0x9bd3, (q15_t)0x4fa7, (q15_t)0x9bcf, (q15_t)0x4fa2, (q15_t)0x9bcb, (q15_t)0x4f9e, (q15_t)0x9bc7,
+  (q15_t)0x4f99, (q15_t)0x9bc3, (q15_t)0x4f94, (q15_t)0x9bbf, (q15_t)0x4f8f, (q15_t)0x9bbb, (q15_t)0x4f8a, (q15_t)0x9bb7,
+  (q15_t)0x4f85, (q15_t)0x9bb3, (q15_t)0x4f80, (q15_t)0x9baf, (q15_t)0x4f7b, (q15_t)0x9bac, (q15_t)0x4f76, (q15_t)0x9ba8,
+  (q15_t)0x4f71, (q15_t)0x9ba4, (q15_t)0x4f6c, (q15_t)0x9ba0, (q15_t)0x4f67, (q15_t)0x9b9c, (q15_t)0x4f62, (q15_t)0x9b98,
+  (q15_t)0x4f5e, (q15_t)0x9b94, (q15_t)0x4f59, (q15_t)0x9b90, (q15_t)0x4f54, (q15_t)0x9b8c, (q15_t)0x4f4f, (q15_t)0x9b88,
+  (q15_t)0x4f4a, (q15_t)0x9b85, (q15_t)0x4f45, (q15_t)0x9b81, (q15_t)0x4f40, (q15_t)0x9b7d, (q15_t)0x4f3b, (q15_t)0x9b79,
+  (q15_t)0x4f36, (q15_t)0x9b75, (q15_t)0x4f31, (q15_t)0x9b71, (q15_t)0x4f2c, (q15_t)0x9b6d, (q15_t)0x4f27, (q15_t)0x9b69,
+  (q15_t)0x4f22, (q15_t)0x9b65, (q15_t)0x4f1d, (q15_t)0x9b62, (q15_t)0x4f18, (q15_t)0x9b5e, (q15_t)0x4f14, (q15_t)0x9b5a,
+  (q15_t)0x4f0f, (q15_t)0x9b56, (q15_t)0x4f0a, (q15_t)0x9b52, (q15_t)0x4f05, (q15_t)0x9b4e, (q15_t)0x4f00, (q15_t)0x9b4a,
+  (q15_t)0x4efb, (q15_t)0x9b46, (q15_t)0x4ef6, (q15_t)0x9b43, (q15_t)0x4ef1, (q15_t)0x9b3f, (q15_t)0x4eec, (q15_t)0x9b3b,
+  (q15_t)0x4ee7, (q15_t)0x9b37, (q15_t)0x4ee2, (q15_t)0x9b33, (q15_t)0x4edd, (q15_t)0x9b2f, (q15_t)0x4ed8, (q15_t)0x9b2b,
+  (q15_t)0x4ed3, (q15_t)0x9b27, (q15_t)0x4ece, (q15_t)0x9b24, (q15_t)0x4ec9, (q15_t)0x9b20, (q15_t)0x4ec4, (q15_t)0x9b1c,
+  (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4eba, (q15_t)0x9b14, (q15_t)0x4eb6, (q15_t)0x9b10, (q15_t)0x4eb1, (q15_t)0x9b0c,
+  (q15_t)0x4eac, (q15_t)0x9b09, (q15_t)0x4ea7, (q15_t)0x9b05, (q15_t)0x4ea2, (q15_t)0x9b01, (q15_t)0x4e9d, (q15_t)0x9afd,
+  (q15_t)0x4e98, (q15_t)0x9af9, (q15_t)0x4e93, (q15_t)0x9af5, (q15_t)0x4e8e, (q15_t)0x9af1, (q15_t)0x4e89, (q15_t)0x9aed,
+  (q15_t)0x4e84, (q15_t)0x9aea, (q15_t)0x4e7f, (q15_t)0x9ae6, (q15_t)0x4e7a, (q15_t)0x9ae2, (q15_t)0x4e75, (q15_t)0x9ade,
+  (q15_t)0x4e70, (q15_t)0x9ada, (q15_t)0x4e6b, (q15_t)0x9ad6, (q15_t)0x4e66, (q15_t)0x9ad3, (q15_t)0x4e61, (q15_t)0x9acf,
+  (q15_t)0x4e5c, (q15_t)0x9acb, (q15_t)0x4e57, (q15_t)0x9ac7, (q15_t)0x4e52, (q15_t)0x9ac3, (q15_t)0x4e4d, (q15_t)0x9abf,
+  (q15_t)0x4e48, (q15_t)0x9abb, (q15_t)0x4e43, (q15_t)0x9ab8, (q15_t)0x4e3e, (q15_t)0x9ab4, (q15_t)0x4e39, (q15_t)0x9ab0,
+  (q15_t)0x4e34, (q15_t)0x9aac, (q15_t)0x4e2f, (q15_t)0x9aa8, (q15_t)0x4e2a, (q15_t)0x9aa4, (q15_t)0x4e26, (q15_t)0x9aa1,
+  (q15_t)0x4e21, (q15_t)0x9a9d, (q15_t)0x4e1c, (q15_t)0x9a99, (q15_t)0x4e17, (q15_t)0x9a95, (q15_t)0x4e12, (q15_t)0x9a91,
+  (q15_t)0x4e0d, (q15_t)0x9a8d, (q15_t)0x4e08, (q15_t)0x9a8a, (q15_t)0x4e03, (q15_t)0x9a86, (q15_t)0x4dfe, (q15_t)0x9a82,
+  (q15_t)0x4df9, (q15_t)0x9a7e, (q15_t)0x4df4, (q15_t)0x9a7a, (q15_t)0x4def, (q15_t)0x9a76, (q15_t)0x4dea, (q15_t)0x9a73,
+  (q15_t)0x4de5, (q15_t)0x9a6f, (q15_t)0x4de0, (q15_t)0x9a6b, (q15_t)0x4ddb, (q15_t)0x9a67, (q15_t)0x4dd6, (q15_t)0x9a63,
+  (q15_t)0x4dd1, (q15_t)0x9a60, (q15_t)0x4dcc, (q15_t)0x9a5c, (q15_t)0x4dc7, (q15_t)0x9a58, (q15_t)0x4dc2, (q15_t)0x9a54,
+  (q15_t)0x4dbd, (q15_t)0x9a50, (q15_t)0x4db8, (q15_t)0x9a4c, (q15_t)0x4db3, (q15_t)0x9a49, (q15_t)0x4dae, (q15_t)0x9a45,
+  (q15_t)0x4da9, (q15_t)0x9a41, (q15_t)0x4da4, (q15_t)0x9a3d, (q15_t)0x4d9f, (q15_t)0x9a39, (q15_t)0x4d9a, (q15_t)0x9a36,
+  (q15_t)0x4d95, (q15_t)0x9a32, (q15_t)0x4d90, (q15_t)0x9a2e, (q15_t)0x4d8b, (q15_t)0x9a2a, (q15_t)0x4d86, (q15_t)0x9a26,
+  (q15_t)0x4d81, (q15_t)0x9a23, (q15_t)0x4d7c, (q15_t)0x9a1f, (q15_t)0x4d77, (q15_t)0x9a1b, (q15_t)0x4d72, (q15_t)0x9a17,
+  (q15_t)0x4d6d, (q15_t)0x9a13, (q15_t)0x4d68, (q15_t)0x9a10, (q15_t)0x4d63, (q15_t)0x9a0c, (q15_t)0x4d5e, (q15_t)0x9a08,
+  (q15_t)0x4d59, (q15_t)0x9a04, (q15_t)0x4d54, (q15_t)0x9a00, (q15_t)0x4d4f, (q15_t)0x99fd, (q15_t)0x4d4a, (q15_t)0x99f9,
+  (q15_t)0x4d45, (q15_t)0x99f5, (q15_t)0x4d40, (q15_t)0x99f1, (q15_t)0x4d3b, (q15_t)0x99ed, (q15_t)0x4d36, (q15_t)0x99ea,
+  (q15_t)0x4d31, (q15_t)0x99e6, (q15_t)0x4d2c, (q15_t)0x99e2, (q15_t)0x4d27, (q15_t)0x99de, (q15_t)0x4d22, (q15_t)0x99da,
+  (q15_t)0x4d1d, (q15_t)0x99d7, (q15_t)0x4d18, (q15_t)0x99d3, (q15_t)0x4d13, (q15_t)0x99cf, (q15_t)0x4d0e, (q15_t)0x99cb,
+  (q15_t)0x4d09, (q15_t)0x99c7, (q15_t)0x4d04, (q15_t)0x99c4, (q15_t)0x4cff, (q15_t)0x99c0, (q15_t)0x4cfa, (q15_t)0x99bc,
+  (q15_t)0x4cf5, (q15_t)0x99b8, (q15_t)0x4cf0, (q15_t)0x99b5, (q15_t)0x4ceb, (q15_t)0x99b1, (q15_t)0x4ce6, (q15_t)0x99ad,
+  (q15_t)0x4ce1, (q15_t)0x99a9, (q15_t)0x4cdb, (q15_t)0x99a5, (q15_t)0x4cd6, (q15_t)0x99a2, (q15_t)0x4cd1, (q15_t)0x999e,
+  (q15_t)0x4ccc, (q15_t)0x999a, (q15_t)0x4cc7, (q15_t)0x9996, (q15_t)0x4cc2, (q15_t)0x9993, (q15_t)0x4cbd, (q15_t)0x998f,
+  (q15_t)0x4cb8, (q15_t)0x998b, (q15_t)0x4cb3, (q15_t)0x9987, (q15_t)0x4cae, (q15_t)0x9984, (q15_t)0x4ca9, (q15_t)0x9980,
+  (q15_t)0x4ca4, (q15_t)0x997c, (q15_t)0x4c9f, (q15_t)0x9978, (q15_t)0x4c9a, (q15_t)0x9975, (q15_t)0x4c95, (q15_t)0x9971,
+  (q15_t)0x4c90, (q15_t)0x996d, (q15_t)0x4c8b, (q15_t)0x9969, (q15_t)0x4c86, (q15_t)0x9965, (q15_t)0x4c81, (q15_t)0x9962,
+  (q15_t)0x4c7c, (q15_t)0x995e, (q15_t)0x4c77, (q15_t)0x995a, (q15_t)0x4c72, (q15_t)0x9956, (q15_t)0x4c6d, (q15_t)0x9953,
+  (q15_t)0x4c68, (q15_t)0x994f, (q15_t)0x4c63, (q15_t)0x994b, (q15_t)0x4c5e, (q15_t)0x9947, (q15_t)0x4c59, (q15_t)0x9944,
+  (q15_t)0x4c54, (q15_t)0x9940, (q15_t)0x4c4f, (q15_t)0x993c, (q15_t)0x4c49, (q15_t)0x9938, (q15_t)0x4c44, (q15_t)0x9935,
+  (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4c3a, (q15_t)0x992d, (q15_t)0x4c35, (q15_t)0x992a, (q15_t)0x4c30, (q15_t)0x9926,
+  (q15_t)0x4c2b, (q15_t)0x9922, (q15_t)0x4c26, (q15_t)0x991e, (q15_t)0x4c21, (q15_t)0x991b, (q15_t)0x4c1c, (q15_t)0x9917,
+  (q15_t)0x4c17, (q15_t)0x9913, (q15_t)0x4c12, (q15_t)0x990f, (q15_t)0x4c0d, (q15_t)0x990c, (q15_t)0x4c08, (q15_t)0x9908,
+  (q15_t)0x4c03, (q15_t)0x9904, (q15_t)0x4bfe, (q15_t)0x9900, (q15_t)0x4bf9, (q15_t)0x98fd, (q15_t)0x4bf4, (q15_t)0x98f9,
+  (q15_t)0x4bef, (q15_t)0x98f5, (q15_t)0x4be9, (q15_t)0x98f2, (q15_t)0x4be4, (q15_t)0x98ee, (q15_t)0x4bdf, (q15_t)0x98ea,
+  (q15_t)0x4bda, (q15_t)0x98e6, (q15_t)0x4bd5, (q15_t)0x98e3, (q15_t)0x4bd0, (q15_t)0x98df, (q15_t)0x4bcb, (q15_t)0x98db,
+  (q15_t)0x4bc6, (q15_t)0x98d7, (q15_t)0x4bc1, (q15_t)0x98d4, (q15_t)0x4bbc, (q15_t)0x98d0, (q15_t)0x4bb7, (q15_t)0x98cc,
+  (q15_t)0x4bb2, (q15_t)0x98c9, (q15_t)0x4bad, (q15_t)0x98c5, (q15_t)0x4ba8, (q15_t)0x98c1, (q15_t)0x4ba3, (q15_t)0x98bd,
+  (q15_t)0x4b9e, (q15_t)0x98ba, (q15_t)0x4b98, (q15_t)0x98b6, (q15_t)0x4b93, (q15_t)0x98b2, (q15_t)0x4b8e, (q15_t)0x98af,
+  (q15_t)0x4b89, (q15_t)0x98ab, (q15_t)0x4b84, (q15_t)0x98a7, (q15_t)0x4b7f, (q15_t)0x98a3, (q15_t)0x4b7a, (q15_t)0x98a0,
+  (q15_t)0x4b75, (q15_t)0x989c, (q15_t)0x4b70, (q15_t)0x9898, (q15_t)0x4b6b, (q15_t)0x9895, (q15_t)0x4b66, (q15_t)0x9891,
+  (q15_t)0x4b61, (q15_t)0x988d, (q15_t)0x4b5c, (q15_t)0x988a, (q15_t)0x4b56, (q15_t)0x9886, (q15_t)0x4b51, (q15_t)0x9882,
+  (q15_t)0x4b4c, (q15_t)0x987e, (q15_t)0x4b47, (q15_t)0x987b, (q15_t)0x4b42, (q15_t)0x9877, (q15_t)0x4b3d, (q15_t)0x9873,
+  (q15_t)0x4b38, (q15_t)0x9870, (q15_t)0x4b33, (q15_t)0x986c, (q15_t)0x4b2e, (q15_t)0x9868, (q15_t)0x4b29, (q15_t)0x9865,
+  (q15_t)0x4b24, (q15_t)0x9861, (q15_t)0x4b1f, (q15_t)0x985d, (q15_t)0x4b19, (q15_t)0x985a, (q15_t)0x4b14, (q15_t)0x9856,
+  (q15_t)0x4b0f, (q15_t)0x9852, (q15_t)0x4b0a, (q15_t)0x984e, (q15_t)0x4b05, (q15_t)0x984b, (q15_t)0x4b00, (q15_t)0x9847,
+  (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x4af6, (q15_t)0x9840, (q15_t)0x4af1, (q15_t)0x983c, (q15_t)0x4aec, (q15_t)0x9838,
+  (q15_t)0x4ae7, (q15_t)0x9835, (q15_t)0x4ae1, (q15_t)0x9831, (q15_t)0x4adc, (q15_t)0x982d, (q15_t)0x4ad7, (q15_t)0x982a,
+  (q15_t)0x4ad2, (q15_t)0x9826, (q15_t)0x4acd, (q15_t)0x9822, (q15_t)0x4ac8, (q15_t)0x981f, (q15_t)0x4ac3, (q15_t)0x981b,
+  (q15_t)0x4abe, (q15_t)0x9817, (q15_t)0x4ab9, (q15_t)0x9814, (q15_t)0x4ab4, (q15_t)0x9810, (q15_t)0x4aae, (q15_t)0x980c,
+  (q15_t)0x4aa9, (q15_t)0x9809, (q15_t)0x4aa4, (q15_t)0x9805, (q15_t)0x4a9f, (q15_t)0x9801, (q15_t)0x4a9a, (q15_t)0x97fe,
+  (q15_t)0x4a95, (q15_t)0x97fa, (q15_t)0x4a90, (q15_t)0x97f6, (q15_t)0x4a8b, (q15_t)0x97f3, (q15_t)0x4a86, (q15_t)0x97ef,
+  (q15_t)0x4a81, (q15_t)0x97eb, (q15_t)0x4a7b, (q15_t)0x97e8, (q15_t)0x4a76, (q15_t)0x97e4, (q15_t)0x4a71, (q15_t)0x97e0,
+  (q15_t)0x4a6c, (q15_t)0x97dd, (q15_t)0x4a67, (q15_t)0x97d9, (q15_t)0x4a62, (q15_t)0x97d5, (q15_t)0x4a5d, (q15_t)0x97d2,
+  (q15_t)0x4a58, (q15_t)0x97ce, (q15_t)0x4a52, (q15_t)0x97cb, (q15_t)0x4a4d, (q15_t)0x97c7, (q15_t)0x4a48, (q15_t)0x97c3,
+  (q15_t)0x4a43, (q15_t)0x97c0, (q15_t)0x4a3e, (q15_t)0x97bc, (q15_t)0x4a39, (q15_t)0x97b8, (q15_t)0x4a34, (q15_t)0x97b5,
+  (q15_t)0x4a2f, (q15_t)0x97b1, (q15_t)0x4a2a, (q15_t)0x97ad, (q15_t)0x4a24, (q15_t)0x97aa, (q15_t)0x4a1f, (q15_t)0x97a6,
+  (q15_t)0x4a1a, (q15_t)0x97a2, (q15_t)0x4a15, (q15_t)0x979f, (q15_t)0x4a10, (q15_t)0x979b, (q15_t)0x4a0b, (q15_t)0x9798,
+  (q15_t)0x4a06, (q15_t)0x9794, (q15_t)0x4a01, (q15_t)0x9790, (q15_t)0x49fb, (q15_t)0x978d, (q15_t)0x49f6, (q15_t)0x9789,
+  (q15_t)0x49f1, (q15_t)0x9785, (q15_t)0x49ec, (q15_t)0x9782, (q15_t)0x49e7, (q15_t)0x977e, (q15_t)0x49e2, (q15_t)0x977a,
+  (q15_t)0x49dd, (q15_t)0x9777, (q15_t)0x49d8, (q15_t)0x9773, (q15_t)0x49d2, (q15_t)0x9770, (q15_t)0x49cd, (q15_t)0x976c,
+  (q15_t)0x49c8, (q15_t)0x9768, (q15_t)0x49c3, (q15_t)0x9765, (q15_t)0x49be, (q15_t)0x9761, (q15_t)0x49b9, (q15_t)0x975d,
+  (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x49ae, (q15_t)0x9756, (q15_t)0x49a9, (q15_t)0x9753, (q15_t)0x49a4, (q15_t)0x974f,
+  (q15_t)0x499f, (q15_t)0x974b, (q15_t)0x499a, (q15_t)0x9748, (q15_t)0x4995, (q15_t)0x9744, (q15_t)0x4990, (q15_t)0x9741,
+  (q15_t)0x498a, (q15_t)0x973d, (q15_t)0x4985, (q15_t)0x9739, (q15_t)0x4980, (q15_t)0x9736, (q15_t)0x497b, (q15_t)0x9732,
+  (q15_t)0x4976, (q15_t)0x972f, (q15_t)0x4971, (q15_t)0x972b, (q15_t)0x496c, (q15_t)0x9727, (q15_t)0x4966, (q15_t)0x9724,
+  (q15_t)0x4961, (q15_t)0x9720, (q15_t)0x495c, (q15_t)0x971d, (q15_t)0x4957, (q15_t)0x9719, (q15_t)0x4952, (q15_t)0x9715,
+  (q15_t)0x494d, (q15_t)0x9712, (q15_t)0x4948, (q15_t)0x970e, (q15_t)0x4942, (q15_t)0x970b, (q15_t)0x493d, (q15_t)0x9707,
+  (q15_t)0x4938, (q15_t)0x9703, (q15_t)0x4933, (q15_t)0x9700, (q15_t)0x492e, (q15_t)0x96fc, (q15_t)0x4929, (q15_t)0x96f9,
+  (q15_t)0x4923, (q15_t)0x96f5, (q15_t)0x491e, (q15_t)0x96f1, (q15_t)0x4919, (q15_t)0x96ee, (q15_t)0x4914, (q15_t)0x96ea,
+  (q15_t)0x490f, (q15_t)0x96e7, (q15_t)0x490a, (q15_t)0x96e3, (q15_t)0x4905, (q15_t)0x96df, (q15_t)0x48ff, (q15_t)0x96dc,
+  (q15_t)0x48fa, (q15_t)0x96d8, (q15_t)0x48f5, (q15_t)0x96d5, (q15_t)0x48f0, (q15_t)0x96d1, (q15_t)0x48eb, (q15_t)0x96ce,
+  (q15_t)0x48e6, (q15_t)0x96ca, (q15_t)0x48e0, (q15_t)0x96c6, (q15_t)0x48db, (q15_t)0x96c3, (q15_t)0x48d6, (q15_t)0x96bf,
+  (q15_t)0x48d1, (q15_t)0x96bc, (q15_t)0x48cc, (q15_t)0x96b8, (q15_t)0x48c7, (q15_t)0x96b5, (q15_t)0x48c1, (q15_t)0x96b1,
+  (q15_t)0x48bc, (q15_t)0x96ad, (q15_t)0x48b7, (q15_t)0x96aa, (q15_t)0x48b2, (q15_t)0x96a6, (q15_t)0x48ad, (q15_t)0x96a3,
+  (q15_t)0x48a8, (q15_t)0x969f, (q15_t)0x48a2, (q15_t)0x969c, (q15_t)0x489d, (q15_t)0x9698, (q15_t)0x4898, (q15_t)0x9694,
+  (q15_t)0x4893, (q15_t)0x9691, (q15_t)0x488e, (q15_t)0x968d, (q15_t)0x4888, (q15_t)0x968a, (q15_t)0x4883, (q15_t)0x9686,
+  (q15_t)0x487e, (q15_t)0x9683, (q15_t)0x4879, (q15_t)0x967f, (q15_t)0x4874, (q15_t)0x967b, (q15_t)0x486f, (q15_t)0x9678,
+  (q15_t)0x4869, (q15_t)0x9674, (q15_t)0x4864, (q15_t)0x9671, (q15_t)0x485f, (q15_t)0x966d, (q15_t)0x485a, (q15_t)0x966a,
+  (q15_t)0x4855, (q15_t)0x9666, (q15_t)0x484f, (q15_t)0x9663, (q15_t)0x484a, (q15_t)0x965f, (q15_t)0x4845, (q15_t)0x965b,
+  (q15_t)0x4840, (q15_t)0x9658, (q15_t)0x483b, (q15_t)0x9654, (q15_t)0x4836, (q15_t)0x9651, (q15_t)0x4830, (q15_t)0x964d,
+  (q15_t)0x482b, (q15_t)0x964a, (q15_t)0x4826, (q15_t)0x9646, (q15_t)0x4821, (q15_t)0x9643, (q15_t)0x481c, (q15_t)0x963f,
+  (q15_t)0x4816, (q15_t)0x963c, (q15_t)0x4811, (q15_t)0x9638, (q15_t)0x480c, (q15_t)0x9635, (q15_t)0x4807, (q15_t)0x9631,
+  (q15_t)0x4802, (q15_t)0x962d, (q15_t)0x47fc, (q15_t)0x962a, (q15_t)0x47f7, (q15_t)0x9626, (q15_t)0x47f2, (q15_t)0x9623,
+  (q15_t)0x47ed, (q15_t)0x961f, (q15_t)0x47e8, (q15_t)0x961c, (q15_t)0x47e2, (q15_t)0x9618, (q15_t)0x47dd, (q15_t)0x9615,
+  (q15_t)0x47d8, (q15_t)0x9611, (q15_t)0x47d3, (q15_t)0x960e, (q15_t)0x47ce, (q15_t)0x960a, (q15_t)0x47c8, (q15_t)0x9607,
+  (q15_t)0x47c3, (q15_t)0x9603, (q15_t)0x47be, (q15_t)0x9600, (q15_t)0x47b9, (q15_t)0x95fc, (q15_t)0x47b4, (q15_t)0x95f9,
+  (q15_t)0x47ae, (q15_t)0x95f5, (q15_t)0x47a9, (q15_t)0x95f2, (q15_t)0x47a4, (q15_t)0x95ee, (q15_t)0x479f, (q15_t)0x95ea,
+  (q15_t)0x479a, (q15_t)0x95e7, (q15_t)0x4794, (q15_t)0x95e3, (q15_t)0x478f, (q15_t)0x95e0, (q15_t)0x478a, (q15_t)0x95dc,
+  (q15_t)0x4785, (q15_t)0x95d9, (q15_t)0x4780, (q15_t)0x95d5, (q15_t)0x477a, (q15_t)0x95d2, (q15_t)0x4775, (q15_t)0x95ce,
+  (q15_t)0x4770, (q15_t)0x95cb, (q15_t)0x476b, (q15_t)0x95c7, (q15_t)0x4765, (q15_t)0x95c4, (q15_t)0x4760, (q15_t)0x95c0,
+  (q15_t)0x475b, (q15_t)0x95bd, (q15_t)0x4756, (q15_t)0x95b9, (q15_t)0x4751, (q15_t)0x95b6, (q15_t)0x474b, (q15_t)0x95b2,
+  (q15_t)0x4746, (q15_t)0x95af, (q15_t)0x4741, (q15_t)0x95ab, (q15_t)0x473c, (q15_t)0x95a8, (q15_t)0x4737, (q15_t)0x95a4,
+  (q15_t)0x4731, (q15_t)0x95a1, (q15_t)0x472c, (q15_t)0x959d, (q15_t)0x4727, (q15_t)0x959a, (q15_t)0x4722, (q15_t)0x9596,
+  (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x4717, (q15_t)0x958f, (q15_t)0x4712, (q15_t)0x958c, (q15_t)0x470d, (q15_t)0x9588,
+  (q15_t)0x4708, (q15_t)0x9585, (q15_t)0x4702, (q15_t)0x9581, (q15_t)0x46fd, (q15_t)0x957e, (q15_t)0x46f8, (q15_t)0x957a,
+  (q15_t)0x46f3, (q15_t)0x9577, (q15_t)0x46ed, (q15_t)0x9574, (q15_t)0x46e8, (q15_t)0x9570, (q15_t)0x46e3, (q15_t)0x956d,
+  (q15_t)0x46de, (q15_t)0x9569, (q15_t)0x46d8, (q15_t)0x9566, (q15_t)0x46d3, (q15_t)0x9562, (q15_t)0x46ce, (q15_t)0x955f,
+  (q15_t)0x46c9, (q15_t)0x955b, (q15_t)0x46c4, (q15_t)0x9558, (q15_t)0x46be, (q15_t)0x9554, (q15_t)0x46b9, (q15_t)0x9551,
+  (q15_t)0x46b4, (q15_t)0x954d, (q15_t)0x46af, (q15_t)0x954a, (q15_t)0x46a9, (q15_t)0x9546, (q15_t)0x46a4, (q15_t)0x9543,
+  (q15_t)0x469f, (q15_t)0x953f, (q15_t)0x469a, (q15_t)0x953c, (q15_t)0x4694, (q15_t)0x9538, (q15_t)0x468f, (q15_t)0x9535,
+  (q15_t)0x468a, (q15_t)0x9532, (q15_t)0x4685, (q15_t)0x952e, (q15_t)0x467f, (q15_t)0x952b, (q15_t)0x467a, (q15_t)0x9527,
+  (q15_t)0x4675, (q15_t)0x9524, (q15_t)0x4670, (q15_t)0x9520, (q15_t)0x466a, (q15_t)0x951d, (q15_t)0x4665, (q15_t)0x9519,
+  (q15_t)0x4660, (q15_t)0x9516, (q15_t)0x465b, (q15_t)0x9512, (q15_t)0x4655, (q15_t)0x950f, (q15_t)0x4650, (q15_t)0x950c,
+  (q15_t)0x464b, (q15_t)0x9508, (q15_t)0x4646, (q15_t)0x9505, (q15_t)0x4640, (q15_t)0x9501, (q15_t)0x463b, (q15_t)0x94fe,
+  (q15_t)0x4636, (q15_t)0x94fa, (q15_t)0x4631, (q15_t)0x94f7, (q15_t)0x462b, (q15_t)0x94f3, (q15_t)0x4626, (q15_t)0x94f0,
+  (q15_t)0x4621, (q15_t)0x94ed, (q15_t)0x461c, (q15_t)0x94e9, (q15_t)0x4616, (q15_t)0x94e6, (q15_t)0x4611, (q15_t)0x94e2,
+  (q15_t)0x460c, (q15_t)0x94df, (q15_t)0x4607, (q15_t)0x94db, (q15_t)0x4601, (q15_t)0x94d8, (q15_t)0x45fc, (q15_t)0x94d4,
+  (q15_t)0x45f7, (q15_t)0x94d1, (q15_t)0x45f2, (q15_t)0x94ce, (q15_t)0x45ec, (q15_t)0x94ca, (q15_t)0x45e7, (q15_t)0x94c7,
+  (q15_t)0x45e2, (q15_t)0x94c3, (q15_t)0x45dd, (q15_t)0x94c0, (q15_t)0x45d7, (q15_t)0x94bc, (q15_t)0x45d2, (q15_t)0x94b9,
+  (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x45c7, (q15_t)0x94b2, (q15_t)0x45c2, (q15_t)0x94af, (q15_t)0x45bd, (q15_t)0x94ab,
+  (q15_t)0x45b8, (q15_t)0x94a8, (q15_t)0x45b2, (q15_t)0x94a4, (q15_t)0x45ad, (q15_t)0x94a1, (q15_t)0x45a8, (q15_t)0x949e,
+  (q15_t)0x45a3, (q15_t)0x949a, (q15_t)0x459d, (q15_t)0x9497, (q15_t)0x4598, (q15_t)0x9493, (q15_t)0x4593, (q15_t)0x9490,
+  (q15_t)0x458d, (q15_t)0x948d, (q15_t)0x4588, (q15_t)0x9489, (q15_t)0x4583, (q15_t)0x9486, (q15_t)0x457e, (q15_t)0x9482,
+  (q15_t)0x4578, (q15_t)0x947f, (q15_t)0x4573, (q15_t)0x947b, (q15_t)0x456e, (q15_t)0x9478, (q15_t)0x4569, (q15_t)0x9475,
+  (q15_t)0x4563, (q15_t)0x9471, (q15_t)0x455e, (q15_t)0x946e, (q15_t)0x4559, (q15_t)0x946a, (q15_t)0x4553, (q15_t)0x9467,
+  (q15_t)0x454e, (q15_t)0x9464, (q15_t)0x4549, (q15_t)0x9460, (q15_t)0x4544, (q15_t)0x945d, (q15_t)0x453e, (q15_t)0x9459,
+  (q15_t)0x4539, (q15_t)0x9456, (q15_t)0x4534, (q15_t)0x9453, (q15_t)0x452e, (q15_t)0x944f, (q15_t)0x4529, (q15_t)0x944c,
+  (q15_t)0x4524, (q15_t)0x9448, (q15_t)0x451f, (q15_t)0x9445, (q15_t)0x4519, (q15_t)0x9442, (q15_t)0x4514, (q15_t)0x943e,
+  (q15_t)0x450f, (q15_t)0x943b, (q15_t)0x4509, (q15_t)0x9437, (q15_t)0x4504, (q15_t)0x9434, (q15_t)0x44ff, (q15_t)0x9431,
+  (q15_t)0x44fa, (q15_t)0x942d, (q15_t)0x44f4, (q15_t)0x942a, (q15_t)0x44ef, (q15_t)0x9427, (q15_t)0x44ea, (q15_t)0x9423,
+  (q15_t)0x44e4, (q15_t)0x9420, (q15_t)0x44df, (q15_t)0x941c, (q15_t)0x44da, (q15_t)0x9419, (q15_t)0x44d4, (q15_t)0x9416,
+  (q15_t)0x44cf, (q15_t)0x9412, (q15_t)0x44ca, (q15_t)0x940f, (q15_t)0x44c5, (q15_t)0x940b, (q15_t)0x44bf, (q15_t)0x9408,
+  (q15_t)0x44ba, (q15_t)0x9405, (q15_t)0x44b5, (q15_t)0x9401, (q15_t)0x44af, (q15_t)0x93fe, (q15_t)0x44aa, (q15_t)0x93fb,
+  (q15_t)0x44a5, (q15_t)0x93f7, (q15_t)0x449f, (q15_t)0x93f4, (q15_t)0x449a, (q15_t)0x93f1, (q15_t)0x4495, (q15_t)0x93ed,
+  (q15_t)0x4490, (q15_t)0x93ea, (q15_t)0x448a, (q15_t)0x93e6, (q15_t)0x4485, (q15_t)0x93e3, (q15_t)0x4480, (q15_t)0x93e0,
+  (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4475, (q15_t)0x93d9, (q15_t)0x4470, (q15_t)0x93d6, (q15_t)0x446a, (q15_t)0x93d2,
+  (q15_t)0x4465, (q15_t)0x93cf, (q15_t)0x4460, (q15_t)0x93cc, (q15_t)0x445a, (q15_t)0x93c8, (q15_t)0x4455, (q15_t)0x93c5,
+  (q15_t)0x4450, (q15_t)0x93c1, (q15_t)0x444b, (q15_t)0x93be, (q15_t)0x4445, (q15_t)0x93bb, (q15_t)0x4440, (q15_t)0x93b7,
+  (q15_t)0x443b, (q15_t)0x93b4, (q15_t)0x4435, (q15_t)0x93b1, (q15_t)0x4430, (q15_t)0x93ad, (q15_t)0x442b, (q15_t)0x93aa,
+  (q15_t)0x4425, (q15_t)0x93a7, (q15_t)0x4420, (q15_t)0x93a3, (q15_t)0x441b, (q15_t)0x93a0, (q15_t)0x4415, (q15_t)0x939d,
+  (q15_t)0x4410, (q15_t)0x9399, (q15_t)0x440b, (q15_t)0x9396, (q15_t)0x4405, (q15_t)0x9393, (q15_t)0x4400, (q15_t)0x938f,
+  (q15_t)0x43fb, (q15_t)0x938c, (q15_t)0x43f5, (q15_t)0x9389, (q15_t)0x43f0, (q15_t)0x9385, (q15_t)0x43eb, (q15_t)0x9382,
+  (q15_t)0x43e5, (q15_t)0x937f, (q15_t)0x43e0, (q15_t)0x937b, (q15_t)0x43db, (q15_t)0x9378, (q15_t)0x43d5, (q15_t)0x9375,
+  (q15_t)0x43d0, (q15_t)0x9371, (q15_t)0x43cb, (q15_t)0x936e, (q15_t)0x43c5, (q15_t)0x936b, (q15_t)0x43c0, (q15_t)0x9367,
+  (q15_t)0x43bb, (q15_t)0x9364, (q15_t)0x43b5, (q15_t)0x9361, (q15_t)0x43b0, (q15_t)0x935d, (q15_t)0x43ab, (q15_t)0x935a,
+  (q15_t)0x43a5, (q15_t)0x9357, (q15_t)0x43a0, (q15_t)0x9353, (q15_t)0x439b, (q15_t)0x9350, (q15_t)0x4395, (q15_t)0x934d,
+  (q15_t)0x4390, (q15_t)0x9349, (q15_t)0x438b, (q15_t)0x9346, (q15_t)0x4385, (q15_t)0x9343, (q15_t)0x4380, (q15_t)0x933f,
+  (q15_t)0x437b, (q15_t)0x933c, (q15_t)0x4375, (q15_t)0x9339, (q15_t)0x4370, (q15_t)0x9336, (q15_t)0x436b, (q15_t)0x9332,
+  (q15_t)0x4365, (q15_t)0x932f, (q15_t)0x4360, (q15_t)0x932c, (q15_t)0x435b, (q15_t)0x9328, (q15_t)0x4355, (q15_t)0x9325,
+  (q15_t)0x4350, (q15_t)0x9322, (q15_t)0x434b, (q15_t)0x931e, (q15_t)0x4345, (q15_t)0x931b, (q15_t)0x4340, (q15_t)0x9318,
+  (q15_t)0x433b, (q15_t)0x9314, (q15_t)0x4335, (q15_t)0x9311, (q15_t)0x4330, (q15_t)0x930e, (q15_t)0x432b, (q15_t)0x930b,
+  (q15_t)0x4325, (q15_t)0x9307, (q15_t)0x4320, (q15_t)0x9304, (q15_t)0x431b, (q15_t)0x9301, (q15_t)0x4315, (q15_t)0x92fd,
+  (q15_t)0x4310, (q15_t)0x92fa, (q15_t)0x430b, (q15_t)0x92f7, (q15_t)0x4305, (q15_t)0x92f4, (q15_t)0x4300, (q15_t)0x92f0,
+  (q15_t)0x42fa, (q15_t)0x92ed, (q15_t)0x42f5, (q15_t)0x92ea, (q15_t)0x42f0, (q15_t)0x92e6, (q15_t)0x42ea, (q15_t)0x92e3,
+  (q15_t)0x42e5, (q15_t)0x92e0, (q15_t)0x42e0, (q15_t)0x92dd, (q15_t)0x42da, (q15_t)0x92d9, (q15_t)0x42d5, (q15_t)0x92d6,
+  (q15_t)0x42d0, (q15_t)0x92d3, (q15_t)0x42ca, (q15_t)0x92cf, (q15_t)0x42c5, (q15_t)0x92cc, (q15_t)0x42c0, (q15_t)0x92c9,
+  (q15_t)0x42ba, (q15_t)0x92c6, (q15_t)0x42b5, (q15_t)0x92c2, (q15_t)0x42af, (q15_t)0x92bf, (q15_t)0x42aa, (q15_t)0x92bc,
+  (q15_t)0x42a5, (q15_t)0x92b8, (q15_t)0x429f, (q15_t)0x92b5, (q15_t)0x429a, (q15_t)0x92b2, (q15_t)0x4295, (q15_t)0x92af,
+  (q15_t)0x428f, (q15_t)0x92ab, (q15_t)0x428a, (q15_t)0x92a8, (q15_t)0x4284, (q15_t)0x92a5, (q15_t)0x427f, (q15_t)0x92a2,
+  (q15_t)0x427a, (q15_t)0x929e, (q15_t)0x4274, (q15_t)0x929b, (q15_t)0x426f, (q15_t)0x9298, (q15_t)0x426a, (q15_t)0x9295,
+  (q15_t)0x4264, (q15_t)0x9291, (q15_t)0x425f, (q15_t)0x928e, (q15_t)0x425a, (q15_t)0x928b, (q15_t)0x4254, (q15_t)0x9288,
+  (q15_t)0x424f, (q15_t)0x9284, (q15_t)0x4249, (q15_t)0x9281, (q15_t)0x4244, (q15_t)0x927e, (q15_t)0x423f, (q15_t)0x927b,
+  (q15_t)0x4239, (q15_t)0x9277, (q15_t)0x4234, (q15_t)0x9274, (q15_t)0x422f, (q15_t)0x9271, (q15_t)0x4229, (q15_t)0x926e,
+  (q15_t)0x4224, (q15_t)0x926a, (q15_t)0x421e, (q15_t)0x9267, (q15_t)0x4219, (q15_t)0x9264, (q15_t)0x4214, (q15_t)0x9261,
+  (q15_t)0x420e, (q15_t)0x925d, (q15_t)0x4209, (q15_t)0x925a, (q15_t)0x4203, (q15_t)0x9257, (q15_t)0x41fe, (q15_t)0x9254,
+  (q15_t)0x41f9, (q15_t)0x9250, (q15_t)0x41f3, (q15_t)0x924d, (q15_t)0x41ee, (q15_t)0x924a, (q15_t)0x41e9, (q15_t)0x9247,
+  (q15_t)0x41e3, (q15_t)0x9243, (q15_t)0x41de, (q15_t)0x9240, (q15_t)0x41d8, (q15_t)0x923d, (q15_t)0x41d3, (q15_t)0x923a,
+  (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x41c8, (q15_t)0x9233, (q15_t)0x41c3, (q15_t)0x9230, (q15_t)0x41bd, (q15_t)0x922d,
+  (q15_t)0x41b8, (q15_t)0x922a, (q15_t)0x41b3, (q15_t)0x9226, (q15_t)0x41ad, (q15_t)0x9223, (q15_t)0x41a8, (q15_t)0x9220,
+  (q15_t)0x41a2, (q15_t)0x921d, (q15_t)0x419d, (q15_t)0x9219, (q15_t)0x4198, (q15_t)0x9216, (q15_t)0x4192, (q15_t)0x9213,
+  (q15_t)0x418d, (q15_t)0x9210, (q15_t)0x4188, (q15_t)0x920d, (q15_t)0x4182, (q15_t)0x9209, (q15_t)0x417d, (q15_t)0x9206,
+  (q15_t)0x4177, (q15_t)0x9203, (q15_t)0x4172, (q15_t)0x9200, (q15_t)0x416d, (q15_t)0x91fc, (q15_t)0x4167, (q15_t)0x91f9,
+  (q15_t)0x4162, (q15_t)0x91f6, (q15_t)0x415c, (q15_t)0x91f3, (q15_t)0x4157, (q15_t)0x91f0, (q15_t)0x4152, (q15_t)0x91ec,
+  (q15_t)0x414c, (q15_t)0x91e9, (q15_t)0x4147, (q15_t)0x91e6, (q15_t)0x4141, (q15_t)0x91e3, (q15_t)0x413c, (q15_t)0x91e0,
+  (q15_t)0x4136, (q15_t)0x91dc, (q15_t)0x4131, (q15_t)0x91d9, (q15_t)0x412c, (q15_t)0x91d6, (q15_t)0x4126, (q15_t)0x91d3,
+  (q15_t)0x4121, (q15_t)0x91d0, (q15_t)0x411b, (q15_t)0x91cc, (q15_t)0x4116, (q15_t)0x91c9, (q15_t)0x4111, (q15_t)0x91c6,
+  (q15_t)0x410b, (q15_t)0x91c3, (q15_t)0x4106, (q15_t)0x91c0, (q15_t)0x4100, (q15_t)0x91bc, (q15_t)0x40fb, (q15_t)0x91b9,
+  (q15_t)0x40f6, (q15_t)0x91b6, (q15_t)0x40f0, (q15_t)0x91b3, (q15_t)0x40eb, (q15_t)0x91b0, (q15_t)0x40e5, (q15_t)0x91ad,
+  (q15_t)0x40e0, (q15_t)0x91a9, (q15_t)0x40da, (q15_t)0x91a6, (q15_t)0x40d5, (q15_t)0x91a3, (q15_t)0x40d0, (q15_t)0x91a0,
+  (q15_t)0x40ca, (q15_t)0x919d, (q15_t)0x40c5, (q15_t)0x9199, (q15_t)0x40bf, (q15_t)0x9196, (q15_t)0x40ba, (q15_t)0x9193,
+  (q15_t)0x40b5, (q15_t)0x9190, (q15_t)0x40af, (q15_t)0x918d, (q15_t)0x40aa, (q15_t)0x918a, (q15_t)0x40a4, (q15_t)0x9186,
+  (q15_t)0x409f, (q15_t)0x9183, (q15_t)0x4099, (q15_t)0x9180, (q15_t)0x4094, (q15_t)0x917d, (q15_t)0x408f, (q15_t)0x917a,
+  (q15_t)0x4089, (q15_t)0x9177, (q15_t)0x4084, (q15_t)0x9173, (q15_t)0x407e, (q15_t)0x9170, (q15_t)0x4079, (q15_t)0x916d,
+  (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x406e, (q15_t)0x9167, (q15_t)0x4069, (q15_t)0x9164, (q15_t)0x4063, (q15_t)0x9160,
+  (q15_t)0x405e, (q15_t)0x915d, (q15_t)0x4058, (q15_t)0x915a, (q15_t)0x4053, (q15_t)0x9157, (q15_t)0x404d, (q15_t)0x9154,
+  (q15_t)0x4048, (q15_t)0x9151, (q15_t)0x4043, (q15_t)0x914d, (q15_t)0x403d, (q15_t)0x914a, (q15_t)0x4038, (q15_t)0x9147,
+  (q15_t)0x4032, (q15_t)0x9144, (q15_t)0x402d, (q15_t)0x9141, (q15_t)0x4027, (q15_t)0x913e, (q15_t)0x4022, (q15_t)0x913a,
+  (q15_t)0x401d, (q15_t)0x9137, (q15_t)0x4017, (q15_t)0x9134, (q15_t)0x4012, (q15_t)0x9131, (q15_t)0x400c, (q15_t)0x912e,
+  (q15_t)0x4007, (q15_t)0x912b, (q15_t)0x4001, (q15_t)0x9128, (q15_t)0x3ffc, (q15_t)0x9124, (q15_t)0x3ff6, (q15_t)0x9121,
+  (q15_t)0x3ff1, (q15_t)0x911e, (q15_t)0x3fec, (q15_t)0x911b, (q15_t)0x3fe6, (q15_t)0x9118, (q15_t)0x3fe1, (q15_t)0x9115,
+  (q15_t)0x3fdb, (q15_t)0x9112, (q15_t)0x3fd6, (q15_t)0x910f, (q15_t)0x3fd0, (q15_t)0x910b, (q15_t)0x3fcb, (q15_t)0x9108,
+  (q15_t)0x3fc5, (q15_t)0x9105, (q15_t)0x3fc0, (q15_t)0x9102, (q15_t)0x3fbb, (q15_t)0x90ff, (q15_t)0x3fb5, (q15_t)0x90fc,
+  (q15_t)0x3fb0, (q15_t)0x90f9, (q15_t)0x3faa, (q15_t)0x90f5, (q15_t)0x3fa5, (q15_t)0x90f2, (q15_t)0x3f9f, (q15_t)0x90ef,
+  (q15_t)0x3f9a, (q15_t)0x90ec, (q15_t)0x3f94, (q15_t)0x90e9, (q15_t)0x3f8f, (q15_t)0x90e6, (q15_t)0x3f89, (q15_t)0x90e3,
+  (q15_t)0x3f84, (q15_t)0x90e0, (q15_t)0x3f7f, (q15_t)0x90dd, (q15_t)0x3f79, (q15_t)0x90d9, (q15_t)0x3f74, (q15_t)0x90d6,
+  (q15_t)0x3f6e, (q15_t)0x90d3, (q15_t)0x3f69, (q15_t)0x90d0, (q15_t)0x3f63, (q15_t)0x90cd, (q15_t)0x3f5e, (q15_t)0x90ca,
+  (q15_t)0x3f58, (q15_t)0x90c7, (q15_t)0x3f53, (q15_t)0x90c4, (q15_t)0x3f4d, (q15_t)0x90c1, (q15_t)0x3f48, (q15_t)0x90bd,
+  (q15_t)0x3f43, (q15_t)0x90ba, (q15_t)0x3f3d, (q15_t)0x90b7, (q15_t)0x3f38, (q15_t)0x90b4, (q15_t)0x3f32, (q15_t)0x90b1,
+  (q15_t)0x3f2d, (q15_t)0x90ae, (q15_t)0x3f27, (q15_t)0x90ab, (q15_t)0x3f22, (q15_t)0x90a8, (q15_t)0x3f1c, (q15_t)0x90a5,
+  (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3f11, (q15_t)0x909e, (q15_t)0x3f0c, (q15_t)0x909b, (q15_t)0x3f06, (q15_t)0x9098,
+  (q15_t)0x3f01, (q15_t)0x9095, (q15_t)0x3efb, (q15_t)0x9092, (q15_t)0x3ef6, (q15_t)0x908f, (q15_t)0x3ef1, (q15_t)0x908c,
+  (q15_t)0x3eeb, (q15_t)0x9089, (q15_t)0x3ee6, (q15_t)0x9086, (q15_t)0x3ee0, (q15_t)0x9083, (q15_t)0x3edb, (q15_t)0x907f,
+  (q15_t)0x3ed5, (q15_t)0x907c, (q15_t)0x3ed0, (q15_t)0x9079, (q15_t)0x3eca, (q15_t)0x9076, (q15_t)0x3ec5, (q15_t)0x9073,
+  (q15_t)0x3ebf, (q15_t)0x9070, (q15_t)0x3eba, (q15_t)0x906d, (q15_t)0x3eb4, (q15_t)0x906a, (q15_t)0x3eaf, (q15_t)0x9067,
+  (q15_t)0x3ea9, (q15_t)0x9064, (q15_t)0x3ea4, (q15_t)0x9061, (q15_t)0x3e9e, (q15_t)0x905e, (q15_t)0x3e99, (q15_t)0x905b,
+  (q15_t)0x3e93, (q15_t)0x9057, (q15_t)0x3e8e, (q15_t)0x9054, (q15_t)0x3e88, (q15_t)0x9051, (q15_t)0x3e83, (q15_t)0x904e,
+  (q15_t)0x3e7d, (q15_t)0x904b, (q15_t)0x3e78, (q15_t)0x9048, (q15_t)0x3e73, (q15_t)0x9045, (q15_t)0x3e6d, (q15_t)0x9042,
+  (q15_t)0x3e68, (q15_t)0x903f, (q15_t)0x3e62, (q15_t)0x903c, (q15_t)0x3e5d, (q15_t)0x9039, (q15_t)0x3e57, (q15_t)0x9036,
+  (q15_t)0x3e52, (q15_t)0x9033, (q15_t)0x3e4c, (q15_t)0x9030, (q15_t)0x3e47, (q15_t)0x902d, (q15_t)0x3e41, (q15_t)0x902a,
+  (q15_t)0x3e3c, (q15_t)0x9026, (q15_t)0x3e36, (q15_t)0x9023, (q15_t)0x3e31, (q15_t)0x9020, (q15_t)0x3e2b, (q15_t)0x901d,
+  (q15_t)0x3e26, (q15_t)0x901a, (q15_t)0x3e20, (q15_t)0x9017, (q15_t)0x3e1b, (q15_t)0x9014, (q15_t)0x3e15, (q15_t)0x9011,
+  (q15_t)0x3e10, (q15_t)0x900e, (q15_t)0x3e0a, (q15_t)0x900b, (q15_t)0x3e05, (q15_t)0x9008, (q15_t)0x3dff, (q15_t)0x9005,
+  (q15_t)0x3dfa, (q15_t)0x9002, (q15_t)0x3df4, (q15_t)0x8fff, (q15_t)0x3def, (q15_t)0x8ffc, (q15_t)0x3de9, (q15_t)0x8ff9,
+  (q15_t)0x3de4, (q15_t)0x8ff6, (q15_t)0x3dde, (q15_t)0x8ff3, (q15_t)0x3dd9, (q15_t)0x8ff0, (q15_t)0x3dd3, (q15_t)0x8fed,
+  (q15_t)0x3dce, (q15_t)0x8fea, (q15_t)0x3dc8, (q15_t)0x8fe7, (q15_t)0x3dc3, (q15_t)0x8fe3, (q15_t)0x3dbd, (q15_t)0x8fe0,
+  (q15_t)0x3db8, (q15_t)0x8fdd, (q15_t)0x3db2, (q15_t)0x8fda, (q15_t)0x3dad, (q15_t)0x8fd7, (q15_t)0x3da7, (q15_t)0x8fd4,
+  (q15_t)0x3da2, (q15_t)0x8fd1, (q15_t)0x3d9c, (q15_t)0x8fce, (q15_t)0x3d97, (q15_t)0x8fcb, (q15_t)0x3d91, (q15_t)0x8fc8,
+  (q15_t)0x3d8c, (q15_t)0x8fc5, (q15_t)0x3d86, (q15_t)0x8fc2, (q15_t)0x3d81, (q15_t)0x8fbf, (q15_t)0x3d7b, (q15_t)0x8fbc,
+  (q15_t)0x3d76, (q15_t)0x8fb9, (q15_t)0x3d70, (q15_t)0x8fb6, (q15_t)0x3d6b, (q15_t)0x8fb3, (q15_t)0x3d65, (q15_t)0x8fb0,
+  (q15_t)0x3d60, (q15_t)0x8fad, (q15_t)0x3d5a, (q15_t)0x8faa, (q15_t)0x3d55, (q15_t)0x8fa7, (q15_t)0x3d4f, (q15_t)0x8fa4,
+  (q15_t)0x3d49, (q15_t)0x8fa1, (q15_t)0x3d44, (q15_t)0x8f9e, (q15_t)0x3d3e, (q15_t)0x8f9b, (q15_t)0x3d39, (q15_t)0x8f98,
+  (q15_t)0x3d33, (q15_t)0x8f95, (q15_t)0x3d2e, (q15_t)0x8f92, (q15_t)0x3d28, (q15_t)0x8f8f, (q15_t)0x3d23, (q15_t)0x8f8c,
+  (q15_t)0x3d1d, (q15_t)0x8f89, (q15_t)0x3d18, (q15_t)0x8f86, (q15_t)0x3d12, (q15_t)0x8f83, (q15_t)0x3d0d, (q15_t)0x8f80,
+  (q15_t)0x3d07, (q15_t)0x8f7d, (q15_t)0x3d02, (q15_t)0x8f7a, (q15_t)0x3cfc, (q15_t)0x8f77, (q15_t)0x3cf7, (q15_t)0x8f74,
+  (q15_t)0x3cf1, (q15_t)0x8f71, (q15_t)0x3cec, (q15_t)0x8f6e, (q15_t)0x3ce6, (q15_t)0x8f6b, (q15_t)0x3ce1, (q15_t)0x8f68,
+  (q15_t)0x3cdb, (q15_t)0x8f65, (q15_t)0x3cd6, (q15_t)0x8f62, (q15_t)0x3cd0, (q15_t)0x8f5f, (q15_t)0x3cca, (q15_t)0x8f5c,
+  (q15_t)0x3cc5, (q15_t)0x8f59, (q15_t)0x3cbf, (q15_t)0x8f56, (q15_t)0x3cba, (q15_t)0x8f53, (q15_t)0x3cb4, (q15_t)0x8f50,
+  (q15_t)0x3caf, (q15_t)0x8f4d, (q15_t)0x3ca9, (q15_t)0x8f4a, (q15_t)0x3ca4, (q15_t)0x8f47, (q15_t)0x3c9e, (q15_t)0x8f44,
+  (q15_t)0x3c99, (q15_t)0x8f41, (q15_t)0x3c93, (q15_t)0x8f3e, (q15_t)0x3c8e, (q15_t)0x8f3b, (q15_t)0x3c88, (q15_t)0x8f38,
+  (q15_t)0x3c83, (q15_t)0x8f35, (q15_t)0x3c7d, (q15_t)0x8f32, (q15_t)0x3c77, (q15_t)0x8f2f, (q15_t)0x3c72, (q15_t)0x8f2d,
+  (q15_t)0x3c6c, (q15_t)0x8f2a, (q15_t)0x3c67, (q15_t)0x8f27, (q15_t)0x3c61, (q15_t)0x8f24, (q15_t)0x3c5c, (q15_t)0x8f21,
+  (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3c51, (q15_t)0x8f1b, (q15_t)0x3c4b, (q15_t)0x8f18, (q15_t)0x3c46, (q15_t)0x8f15,
+  (q15_t)0x3c40, (q15_t)0x8f12, (q15_t)0x3c3b, (q15_t)0x8f0f, (q15_t)0x3c35, (q15_t)0x8f0c, (q15_t)0x3c2f, (q15_t)0x8f09,
+  (q15_t)0x3c2a, (q15_t)0x8f06, (q15_t)0x3c24, (q15_t)0x8f03, (q15_t)0x3c1f, (q15_t)0x8f00, (q15_t)0x3c19, (q15_t)0x8efd,
+  (q15_t)0x3c14, (q15_t)0x8efa, (q15_t)0x3c0e, (q15_t)0x8ef7, (q15_t)0x3c09, (q15_t)0x8ef4, (q15_t)0x3c03, (q15_t)0x8ef1,
+  (q15_t)0x3bfd, (q15_t)0x8eee, (q15_t)0x3bf8, (q15_t)0x8eec, (q15_t)0x3bf2, (q15_t)0x8ee9, (q15_t)0x3bed, (q15_t)0x8ee6,
+  (q15_t)0x3be7, (q15_t)0x8ee3, (q15_t)0x3be2, (q15_t)0x8ee0, (q15_t)0x3bdc, (q15_t)0x8edd, (q15_t)0x3bd7, (q15_t)0x8eda,
+  (q15_t)0x3bd1, (q15_t)0x8ed7, (q15_t)0x3bcc, (q15_t)0x8ed4, (q15_t)0x3bc6, (q15_t)0x8ed1, (q15_t)0x3bc0, (q15_t)0x8ece,
+  (q15_t)0x3bbb, (q15_t)0x8ecb, (q15_t)0x3bb5, (q15_t)0x8ec8, (q15_t)0x3bb0, (q15_t)0x8ec5, (q15_t)0x3baa, (q15_t)0x8ec2,
+  (q15_t)0x3ba5, (q15_t)0x8ebf, (q15_t)0x3b9f, (q15_t)0x8ebd, (q15_t)0x3b99, (q15_t)0x8eba, (q15_t)0x3b94, (q15_t)0x8eb7,
+  (q15_t)0x3b8e, (q15_t)0x8eb4, (q15_t)0x3b89, (q15_t)0x8eb1, (q15_t)0x3b83, (q15_t)0x8eae, (q15_t)0x3b7e, (q15_t)0x8eab,
+  (q15_t)0x3b78, (q15_t)0x8ea8, (q15_t)0x3b73, (q15_t)0x8ea5, (q15_t)0x3b6d, (q15_t)0x8ea2, (q15_t)0x3b67, (q15_t)0x8e9f,
+  (q15_t)0x3b62, (q15_t)0x8e9c, (q15_t)0x3b5c, (q15_t)0x8e99, (q15_t)0x3b57, (q15_t)0x8e97, (q15_t)0x3b51, (q15_t)0x8e94,
+  (q15_t)0x3b4c, (q15_t)0x8e91, (q15_t)0x3b46, (q15_t)0x8e8e, (q15_t)0x3b40, (q15_t)0x8e8b, (q15_t)0x3b3b, (q15_t)0x8e88,
+  (q15_t)0x3b35, (q15_t)0x8e85, (q15_t)0x3b30, (q15_t)0x8e82, (q15_t)0x3b2a, (q15_t)0x8e7f, (q15_t)0x3b25, (q15_t)0x8e7c,
+  (q15_t)0x3b1f, (q15_t)0x8e7a, (q15_t)0x3b19, (q15_t)0x8e77, (q15_t)0x3b14, (q15_t)0x8e74, (q15_t)0x3b0e, (q15_t)0x8e71,
+  (q15_t)0x3b09, (q15_t)0x8e6e, (q15_t)0x3b03, (q15_t)0x8e6b, (q15_t)0x3afe, (q15_t)0x8e68, (q15_t)0x3af8, (q15_t)0x8e65,
+  (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x3aed, (q15_t)0x8e5f, (q15_t)0x3ae7, (q15_t)0x8e5d, (q15_t)0x3ae2, (q15_t)0x8e5a,
+  (q15_t)0x3adc, (q15_t)0x8e57, (q15_t)0x3ad7, (q15_t)0x8e54, (q15_t)0x3ad1, (q15_t)0x8e51, (q15_t)0x3acb, (q15_t)0x8e4e,
+  (q15_t)0x3ac6, (q15_t)0x8e4b, (q15_t)0x3ac0, (q15_t)0x8e48, (q15_t)0x3abb, (q15_t)0x8e45, (q15_t)0x3ab5, (q15_t)0x8e43,
+  (q15_t)0x3aaf, (q15_t)0x8e40, (q15_t)0x3aaa, (q15_t)0x8e3d, (q15_t)0x3aa4, (q15_t)0x8e3a, (q15_t)0x3a9f, (q15_t)0x8e37,
+  (q15_t)0x3a99, (q15_t)0x8e34, (q15_t)0x3a94, (q15_t)0x8e31, (q15_t)0x3a8e, (q15_t)0x8e2e, (q15_t)0x3a88, (q15_t)0x8e2c,
+  (q15_t)0x3a83, (q15_t)0x8e29, (q15_t)0x3a7d, (q15_t)0x8e26, (q15_t)0x3a78, (q15_t)0x8e23, (q15_t)0x3a72, (q15_t)0x8e20,
+  (q15_t)0x3a6c, (q15_t)0x8e1d, (q15_t)0x3a67, (q15_t)0x8e1a, (q15_t)0x3a61, (q15_t)0x8e17, (q15_t)0x3a5c, (q15_t)0x8e15,
+  (q15_t)0x3a56, (q15_t)0x8e12, (q15_t)0x3a50, (q15_t)0x8e0f, (q15_t)0x3a4b, (q15_t)0x8e0c, (q15_t)0x3a45, (q15_t)0x8e09,
+  (q15_t)0x3a40, (q15_t)0x8e06, (q15_t)0x3a3a, (q15_t)0x8e03, (q15_t)0x3a34, (q15_t)0x8e01, (q15_t)0x3a2f, (q15_t)0x8dfe,
+  (q15_t)0x3a29, (q15_t)0x8dfb, (q15_t)0x3a24, (q15_t)0x8df8, (q15_t)0x3a1e, (q15_t)0x8df5, (q15_t)0x3a19, (q15_t)0x8df2,
+  (q15_t)0x3a13, (q15_t)0x8def, (q15_t)0x3a0d, (q15_t)0x8ded, (q15_t)0x3a08, (q15_t)0x8dea, (q15_t)0x3a02, (q15_t)0x8de7,
+  (q15_t)0x39fd, (q15_t)0x8de4, (q15_t)0x39f7, (q15_t)0x8de1, (q15_t)0x39f1, (q15_t)0x8dde, (q15_t)0x39ec, (q15_t)0x8ddc,
+  (q15_t)0x39e6, (q15_t)0x8dd9, (q15_t)0x39e0, (q15_t)0x8dd6, (q15_t)0x39db, (q15_t)0x8dd3, (q15_t)0x39d5, (q15_t)0x8dd0,
+  (q15_t)0x39d0, (q15_t)0x8dcd, (q15_t)0x39ca, (q15_t)0x8dca, (q15_t)0x39c4, (q15_t)0x8dc8, (q15_t)0x39bf, (q15_t)0x8dc5,
+  (q15_t)0x39b9, (q15_t)0x8dc2, (q15_t)0x39b4, (q15_t)0x8dbf, (q15_t)0x39ae, (q15_t)0x8dbc, (q15_t)0x39a8, (q15_t)0x8db9,
+  (q15_t)0x39a3, (q15_t)0x8db7, (q15_t)0x399d, (q15_t)0x8db4, (q15_t)0x3998, (q15_t)0x8db1, (q15_t)0x3992, (q15_t)0x8dae,
+  (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3987, (q15_t)0x8da9, (q15_t)0x3981, (q15_t)0x8da6, (q15_t)0x397c, (q15_t)0x8da3,
+  (q15_t)0x3976, (q15_t)0x8da0, (q15_t)0x3970, (q15_t)0x8d9d, (q15_t)0x396b, (q15_t)0x8d9a, (q15_t)0x3965, (q15_t)0x8d98,
+  (q15_t)0x395f, (q15_t)0x8d95, (q15_t)0x395a, (q15_t)0x8d92, (q15_t)0x3954, (q15_t)0x8d8f, (q15_t)0x394f, (q15_t)0x8d8c,
+  (q15_t)0x3949, (q15_t)0x8d8a, (q15_t)0x3943, (q15_t)0x8d87, (q15_t)0x393e, (q15_t)0x8d84, (q15_t)0x3938, (q15_t)0x8d81,
+  (q15_t)0x3932, (q15_t)0x8d7e, (q15_t)0x392d, (q15_t)0x8d7b, (q15_t)0x3927, (q15_t)0x8d79, (q15_t)0x3922, (q15_t)0x8d76,
+  (q15_t)0x391c, (q15_t)0x8d73, (q15_t)0x3916, (q15_t)0x8d70, (q15_t)0x3911, (q15_t)0x8d6d, (q15_t)0x390b, (q15_t)0x8d6b,
+  (q15_t)0x3906, (q15_t)0x8d68, (q15_t)0x3900, (q15_t)0x8d65, (q15_t)0x38fa, (q15_t)0x8d62, (q15_t)0x38f5, (q15_t)0x8d5f,
+  (q15_t)0x38ef, (q15_t)0x8d5d, (q15_t)0x38e9, (q15_t)0x8d5a, (q15_t)0x38e4, (q15_t)0x8d57, (q15_t)0x38de, (q15_t)0x8d54,
+  (q15_t)0x38d8, (q15_t)0x8d51, (q15_t)0x38d3, (q15_t)0x8d4f, (q15_t)0x38cd, (q15_t)0x8d4c, (q15_t)0x38c8, (q15_t)0x8d49,
+  (q15_t)0x38c2, (q15_t)0x8d46, (q15_t)0x38bc, (q15_t)0x8d44, (q15_t)0x38b7, (q15_t)0x8d41, (q15_t)0x38b1, (q15_t)0x8d3e,
+  (q15_t)0x38ab, (q15_t)0x8d3b, (q15_t)0x38a6, (q15_t)0x8d38, (q15_t)0x38a0, (q15_t)0x8d36, (q15_t)0x389b, (q15_t)0x8d33,
+  (q15_t)0x3895, (q15_t)0x8d30, (q15_t)0x388f, (q15_t)0x8d2d, (q15_t)0x388a, (q15_t)0x8d2b, (q15_t)0x3884, (q15_t)0x8d28,
+  (q15_t)0x387e, (q15_t)0x8d25, (q15_t)0x3879, (q15_t)0x8d22, (q15_t)0x3873, (q15_t)0x8d1f, (q15_t)0x386d, (q15_t)0x8d1d,
+  (q15_t)0x3868, (q15_t)0x8d1a, (q15_t)0x3862, (q15_t)0x8d17, (q15_t)0x385d, (q15_t)0x8d14, (q15_t)0x3857, (q15_t)0x8d12,
+  (q15_t)0x3851, (q15_t)0x8d0f, (q15_t)0x384c, (q15_t)0x8d0c, (q15_t)0x3846, (q15_t)0x8d09, (q15_t)0x3840, (q15_t)0x8d07,
+  (q15_t)0x383b, (q15_t)0x8d04, (q15_t)0x3835, (q15_t)0x8d01, (q15_t)0x382f, (q15_t)0x8cfe, (q15_t)0x382a, (q15_t)0x8cfb,
+  (q15_t)0x3824, (q15_t)0x8cf9, (q15_t)0x381e, (q15_t)0x8cf6, (q15_t)0x3819, (q15_t)0x8cf3, (q15_t)0x3813, (q15_t)0x8cf0,
+  (q15_t)0x380d, (q15_t)0x8cee, (q15_t)0x3808, (q15_t)0x8ceb, (q15_t)0x3802, (q15_t)0x8ce8, (q15_t)0x37fd, (q15_t)0x8ce5,
+  (q15_t)0x37f7, (q15_t)0x8ce3, (q15_t)0x37f1, (q15_t)0x8ce0, (q15_t)0x37ec, (q15_t)0x8cdd, (q15_t)0x37e6, (q15_t)0x8cda,
+  (q15_t)0x37e0, (q15_t)0x8cd8, (q15_t)0x37db, (q15_t)0x8cd5, (q15_t)0x37d5, (q15_t)0x8cd2, (q15_t)0x37cf, (q15_t)0x8cd0,
+  (q15_t)0x37ca, (q15_t)0x8ccd, (q15_t)0x37c4, (q15_t)0x8cca, (q15_t)0x37be, (q15_t)0x8cc7, (q15_t)0x37b9, (q15_t)0x8cc5,
+  (q15_t)0x37b3, (q15_t)0x8cc2, (q15_t)0x37ad, (q15_t)0x8cbf, (q15_t)0x37a8, (q15_t)0x8cbc, (q15_t)0x37a2, (q15_t)0x8cba,
+  (q15_t)0x379c, (q15_t)0x8cb7, (q15_t)0x3797, (q15_t)0x8cb4, (q15_t)0x3791, (q15_t)0x8cb1, (q15_t)0x378b, (q15_t)0x8caf,
+  (q15_t)0x3786, (q15_t)0x8cac, (q15_t)0x3780, (q15_t)0x8ca9, (q15_t)0x377a, (q15_t)0x8ca7, (q15_t)0x3775, (q15_t)0x8ca4,
+  (q15_t)0x376f, (q15_t)0x8ca1, (q15_t)0x3769, (q15_t)0x8c9e, (q15_t)0x3764, (q15_t)0x8c9c, (q15_t)0x375e, (q15_t)0x8c99,
+  (q15_t)0x3758, (q15_t)0x8c96, (q15_t)0x3753, (q15_t)0x8c94, (q15_t)0x374d, (q15_t)0x8c91, (q15_t)0x3747, (q15_t)0x8c8e,
+  (q15_t)0x3742, (q15_t)0x8c8b, (q15_t)0x373c, (q15_t)0x8c89, (q15_t)0x3736, (q15_t)0x8c86, (q15_t)0x3731, (q15_t)0x8c83,
+  (q15_t)0x372b, (q15_t)0x8c81, (q15_t)0x3725, (q15_t)0x8c7e, (q15_t)0x3720, (q15_t)0x8c7b, (q15_t)0x371a, (q15_t)0x8c78,
+  (q15_t)0x3714, (q15_t)0x8c76, (q15_t)0x370f, (q15_t)0x8c73, (q15_t)0x3709, (q15_t)0x8c70, (q15_t)0x3703, (q15_t)0x8c6e,
+  (q15_t)0x36fe, (q15_t)0x8c6b, (q15_t)0x36f8, (q15_t)0x8c68, (q15_t)0x36f2, (q15_t)0x8c65, (q15_t)0x36ed, (q15_t)0x8c63,
+  (q15_t)0x36e7, (q15_t)0x8c60, (q15_t)0x36e1, (q15_t)0x8c5d, (q15_t)0x36dc, (q15_t)0x8c5b, (q15_t)0x36d6, (q15_t)0x8c58,
+  (q15_t)0x36d0, (q15_t)0x8c55, (q15_t)0x36cb, (q15_t)0x8c53, (q15_t)0x36c5, (q15_t)0x8c50, (q15_t)0x36bf, (q15_t)0x8c4d,
+  (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x36b4, (q15_t)0x8c48, (q15_t)0x36ae, (q15_t)0x8c45, (q15_t)0x36a9, (q15_t)0x8c43,
+  (q15_t)0x36a3, (q15_t)0x8c40, (q15_t)0x369d, (q15_t)0x8c3d, (q15_t)0x3698, (q15_t)0x8c3a, (q15_t)0x3692, (q15_t)0x8c38,
+  (q15_t)0x368c, (q15_t)0x8c35, (q15_t)0x3686, (q15_t)0x8c32, (q15_t)0x3681, (q15_t)0x8c30, (q15_t)0x367b, (q15_t)0x8c2d,
+  (q15_t)0x3675, (q15_t)0x8c2a, (q15_t)0x3670, (q15_t)0x8c28, (q15_t)0x366a, (q15_t)0x8c25, (q15_t)0x3664, (q15_t)0x8c22,
+  (q15_t)0x365f, (q15_t)0x8c20, (q15_t)0x3659, (q15_t)0x8c1d, (q15_t)0x3653, (q15_t)0x8c1a, (q15_t)0x364e, (q15_t)0x8c18,
+  (q15_t)0x3648, (q15_t)0x8c15, (q15_t)0x3642, (q15_t)0x8c12, (q15_t)0x363d, (q15_t)0x8c10, (q15_t)0x3637, (q15_t)0x8c0d,
+  (q15_t)0x3631, (q15_t)0x8c0a, (q15_t)0x362b, (q15_t)0x8c08, (q15_t)0x3626, (q15_t)0x8c05, (q15_t)0x3620, (q15_t)0x8c02,
+  (q15_t)0x361a, (q15_t)0x8c00, (q15_t)0x3615, (q15_t)0x8bfd, (q15_t)0x360f, (q15_t)0x8bfa, (q15_t)0x3609, (q15_t)0x8bf8,
+  (q15_t)0x3604, (q15_t)0x8bf5, (q15_t)0x35fe, (q15_t)0x8bf3, (q15_t)0x35f8, (q15_t)0x8bf0, (q15_t)0x35f3, (q15_t)0x8bed,
+  (q15_t)0x35ed, (q15_t)0x8beb, (q15_t)0x35e7, (q15_t)0x8be8, (q15_t)0x35e1, (q15_t)0x8be5, (q15_t)0x35dc, (q15_t)0x8be3,
+  (q15_t)0x35d6, (q15_t)0x8be0, (q15_t)0x35d0, (q15_t)0x8bdd, (q15_t)0x35cb, (q15_t)0x8bdb, (q15_t)0x35c5, (q15_t)0x8bd8,
+  (q15_t)0x35bf, (q15_t)0x8bd5, (q15_t)0x35ba, (q15_t)0x8bd3, (q15_t)0x35b4, (q15_t)0x8bd0, (q15_t)0x35ae, (q15_t)0x8bce,
+  (q15_t)0x35a8, (q15_t)0x8bcb, (q15_t)0x35a3, (q15_t)0x8bc8, (q15_t)0x359d, (q15_t)0x8bc6, (q15_t)0x3597, (q15_t)0x8bc3,
+  (q15_t)0x3592, (q15_t)0x8bc0, (q15_t)0x358c, (q15_t)0x8bbe, (q15_t)0x3586, (q15_t)0x8bbb, (q15_t)0x3580, (q15_t)0x8bb8,
+  (q15_t)0x357b, (q15_t)0x8bb6, (q15_t)0x3575, (q15_t)0x8bb3, (q15_t)0x356f, (q15_t)0x8bb1, (q15_t)0x356a, (q15_t)0x8bae,
+  (q15_t)0x3564, (q15_t)0x8bab, (q15_t)0x355e, (q15_t)0x8ba9, (q15_t)0x3558, (q15_t)0x8ba6, (q15_t)0x3553, (q15_t)0x8ba4,
+  (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x3547, (q15_t)0x8b9e, (q15_t)0x3542, (q15_t)0x8b9c, (q15_t)0x353c, (q15_t)0x8b99,
+  (q15_t)0x3536, (q15_t)0x8b96, (q15_t)0x3530, (q15_t)0x8b94, (q15_t)0x352b, (q15_t)0x8b91, (q15_t)0x3525, (q15_t)0x8b8f,
+  (q15_t)0x351f, (q15_t)0x8b8c, (q15_t)0x351a, (q15_t)0x8b89, (q15_t)0x3514, (q15_t)0x8b87, (q15_t)0x350e, (q15_t)0x8b84,
+  (q15_t)0x3508, (q15_t)0x8b82, (q15_t)0x3503, (q15_t)0x8b7f, (q15_t)0x34fd, (q15_t)0x8b7c, (q15_t)0x34f7, (q15_t)0x8b7a,
+  (q15_t)0x34f2, (q15_t)0x8b77, (q15_t)0x34ec, (q15_t)0x8b75, (q15_t)0x34e6, (q15_t)0x8b72, (q15_t)0x34e0, (q15_t)0x8b6f,
+  (q15_t)0x34db, (q15_t)0x8b6d, (q15_t)0x34d5, (q15_t)0x8b6a, (q15_t)0x34cf, (q15_t)0x8b68, (q15_t)0x34ca, (q15_t)0x8b65,
+  (q15_t)0x34c4, (q15_t)0x8b62, (q15_t)0x34be, (q15_t)0x8b60, (q15_t)0x34b8, (q15_t)0x8b5d, (q15_t)0x34b3, (q15_t)0x8b5b,
+  (q15_t)0x34ad, (q15_t)0x8b58, (q15_t)0x34a7, (q15_t)0x8b55, (q15_t)0x34a1, (q15_t)0x8b53, (q15_t)0x349c, (q15_t)0x8b50,
+  (q15_t)0x3496, (q15_t)0x8b4e, (q15_t)0x3490, (q15_t)0x8b4b, (q15_t)0x348b, (q15_t)0x8b49, (q15_t)0x3485, (q15_t)0x8b46,
+  (q15_t)0x347f, (q15_t)0x8b43, (q15_t)0x3479, (q15_t)0x8b41, (q15_t)0x3474, (q15_t)0x8b3e, (q15_t)0x346e, (q15_t)0x8b3c,
+  (q15_t)0x3468, (q15_t)0x8b39, (q15_t)0x3462, (q15_t)0x8b37, (q15_t)0x345d, (q15_t)0x8b34, (q15_t)0x3457, (q15_t)0x8b31,
+  (q15_t)0x3451, (q15_t)0x8b2f, (q15_t)0x344b, (q15_t)0x8b2c, (q15_t)0x3446, (q15_t)0x8b2a, (q15_t)0x3440, (q15_t)0x8b27,
+  (q15_t)0x343a, (q15_t)0x8b25, (q15_t)0x3435, (q15_t)0x8b22, (q15_t)0x342f, (q15_t)0x8b1f, (q15_t)0x3429, (q15_t)0x8b1d,
+  (q15_t)0x3423, (q15_t)0x8b1a, (q15_t)0x341e, (q15_t)0x8b18, (q15_t)0x3418, (q15_t)0x8b15, (q15_t)0x3412, (q15_t)0x8b13,
+  (q15_t)0x340c, (q15_t)0x8b10, (q15_t)0x3407, (q15_t)0x8b0e, (q15_t)0x3401, (q15_t)0x8b0b, (q15_t)0x33fb, (q15_t)0x8b08,
+  (q15_t)0x33f5, (q15_t)0x8b06, (q15_t)0x33f0, (q15_t)0x8b03, (q15_t)0x33ea, (q15_t)0x8b01, (q15_t)0x33e4, (q15_t)0x8afe,
+  (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x33d9, (q15_t)0x8af9, (q15_t)0x33d3, (q15_t)0x8af7, (q15_t)0x33cd, (q15_t)0x8af4,
+  (q15_t)0x33c7, (q15_t)0x8af1, (q15_t)0x33c2, (q15_t)0x8aef, (q15_t)0x33bc, (q15_t)0x8aec, (q15_t)0x33b6, (q15_t)0x8aea,
+  (q15_t)0x33b0, (q15_t)0x8ae7, (q15_t)0x33ab, (q15_t)0x8ae5, (q15_t)0x33a5, (q15_t)0x8ae2, (q15_t)0x339f, (q15_t)0x8ae0,
+  (q15_t)0x3399, (q15_t)0x8add, (q15_t)0x3394, (q15_t)0x8adb, (q15_t)0x338e, (q15_t)0x8ad8, (q15_t)0x3388, (q15_t)0x8ad6,
+  (q15_t)0x3382, (q15_t)0x8ad3, (q15_t)0x337d, (q15_t)0x8ad1, (q15_t)0x3377, (q15_t)0x8ace, (q15_t)0x3371, (q15_t)0x8acb,
+  (q15_t)0x336b, (q15_t)0x8ac9, (q15_t)0x3366, (q15_t)0x8ac6, (q15_t)0x3360, (q15_t)0x8ac4, (q15_t)0x335a, (q15_t)0x8ac1,
+  (q15_t)0x3354, (q15_t)0x8abf, (q15_t)0x334f, (q15_t)0x8abc, (q15_t)0x3349, (q15_t)0x8aba, (q15_t)0x3343, (q15_t)0x8ab7,
+  (q15_t)0x333d, (q15_t)0x8ab5, (q15_t)0x3338, (q15_t)0x8ab2, (q15_t)0x3332, (q15_t)0x8ab0, (q15_t)0x332c, (q15_t)0x8aad,
+  (q15_t)0x3326, (q15_t)0x8aab, (q15_t)0x3321, (q15_t)0x8aa8, (q15_t)0x331b, (q15_t)0x8aa6, (q15_t)0x3315, (q15_t)0x8aa3,
+  (q15_t)0x330f, (q15_t)0x8aa1, (q15_t)0x330a, (q15_t)0x8a9e, (q15_t)0x3304, (q15_t)0x8a9c, (q15_t)0x32fe, (q15_t)0x8a99,
+  (q15_t)0x32f8, (q15_t)0x8a97, (q15_t)0x32f3, (q15_t)0x8a94, (q15_t)0x32ed, (q15_t)0x8a92, (q15_t)0x32e7, (q15_t)0x8a8f,
+  (q15_t)0x32e1, (q15_t)0x8a8d, (q15_t)0x32db, (q15_t)0x8a8a, (q15_t)0x32d6, (q15_t)0x8a88, (q15_t)0x32d0, (q15_t)0x8a85,
+  (q15_t)0x32ca, (q15_t)0x8a83, (q15_t)0x32c4, (q15_t)0x8a80, (q15_t)0x32bf, (q15_t)0x8a7e, (q15_t)0x32b9, (q15_t)0x8a7b,
+  (q15_t)0x32b3, (q15_t)0x8a79, (q15_t)0x32ad, (q15_t)0x8a76, (q15_t)0x32a8, (q15_t)0x8a74, (q15_t)0x32a2, (q15_t)0x8a71,
+  (q15_t)0x329c, (q15_t)0x8a6f, (q15_t)0x3296, (q15_t)0x8a6c, (q15_t)0x3290, (q15_t)0x8a6a, (q15_t)0x328b, (q15_t)0x8a67,
+  (q15_t)0x3285, (q15_t)0x8a65, (q15_t)0x327f, (q15_t)0x8a62, (q15_t)0x3279, (q15_t)0x8a60, (q15_t)0x3274, (q15_t)0x8a5d,
+  (q15_t)0x326e, (q15_t)0x8a5b, (q15_t)0x3268, (q15_t)0x8a59, (q15_t)0x3262, (q15_t)0x8a56, (q15_t)0x325d, (q15_t)0x8a54,
+  (q15_t)0x3257, (q15_t)0x8a51, (q15_t)0x3251, (q15_t)0x8a4f, (q15_t)0x324b, (q15_t)0x8a4c, (q15_t)0x3245, (q15_t)0x8a4a,
+  (q15_t)0x3240, (q15_t)0x8a47, (q15_t)0x323a, (q15_t)0x8a45, (q15_t)0x3234, (q15_t)0x8a42, (q15_t)0x322e, (q15_t)0x8a40,
+  (q15_t)0x3228, (q15_t)0x8a3d, (q15_t)0x3223, (q15_t)0x8a3b, (q15_t)0x321d, (q15_t)0x8a38, (q15_t)0x3217, (q15_t)0x8a36,
+  (q15_t)0x3211, (q15_t)0x8a34, (q15_t)0x320c, (q15_t)0x8a31, (q15_t)0x3206, (q15_t)0x8a2f, (q15_t)0x3200, (q15_t)0x8a2c,
+  (q15_t)0x31fa, (q15_t)0x8a2a, (q15_t)0x31f4, (q15_t)0x8a27, (q15_t)0x31ef, (q15_t)0x8a25, (q15_t)0x31e9, (q15_t)0x8a22,
+  (q15_t)0x31e3, (q15_t)0x8a20, (q15_t)0x31dd, (q15_t)0x8a1d, (q15_t)0x31d8, (q15_t)0x8a1b, (q15_t)0x31d2, (q15_t)0x8a19,
+  (q15_t)0x31cc, (q15_t)0x8a16, (q15_t)0x31c6, (q15_t)0x8a14, (q15_t)0x31c0, (q15_t)0x8a11, (q15_t)0x31bb, (q15_t)0x8a0f,
+  (q15_t)0x31b5, (q15_t)0x8a0c, (q15_t)0x31af, (q15_t)0x8a0a, (q15_t)0x31a9, (q15_t)0x8a07, (q15_t)0x31a3, (q15_t)0x8a05,
+  (q15_t)0x319e, (q15_t)0x8a03, (q15_t)0x3198, (q15_t)0x8a00, (q15_t)0x3192, (q15_t)0x89fe, (q15_t)0x318c, (q15_t)0x89fb,
+  (q15_t)0x3186, (q15_t)0x89f9, (q15_t)0x3181, (q15_t)0x89f6, (q15_t)0x317b, (q15_t)0x89f4, (q15_t)0x3175, (q15_t)0x89f2,
+  (q15_t)0x316f, (q15_t)0x89ef, (q15_t)0x3169, (q15_t)0x89ed, (q15_t)0x3164, (q15_t)0x89ea, (q15_t)0x315e, (q15_t)0x89e8,
+  (q15_t)0x3158, (q15_t)0x89e5, (q15_t)0x3152, (q15_t)0x89e3, (q15_t)0x314c, (q15_t)0x89e1, (q15_t)0x3147, (q15_t)0x89de,
+  (q15_t)0x3141, (q15_t)0x89dc, (q15_t)0x313b, (q15_t)0x89d9, (q15_t)0x3135, (q15_t)0x89d7, (q15_t)0x312f, (q15_t)0x89d5,
+  (q15_t)0x312a, (q15_t)0x89d2, (q15_t)0x3124, (q15_t)0x89d0, (q15_t)0x311e, (q15_t)0x89cd, (q15_t)0x3118, (q15_t)0x89cb,
+  (q15_t)0x3112, (q15_t)0x89c8, (q15_t)0x310d, (q15_t)0x89c6, (q15_t)0x3107, (q15_t)0x89c4, (q15_t)0x3101, (q15_t)0x89c1,
+  (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x30f5, (q15_t)0x89bc, (q15_t)0x30f0, (q15_t)0x89ba, (q15_t)0x30ea, (q15_t)0x89b8,
+  (q15_t)0x30e4, (q15_t)0x89b5, (q15_t)0x30de, (q15_t)0x89b3, (q15_t)0x30d8, (q15_t)0x89b0, (q15_t)0x30d3, (q15_t)0x89ae,
+  (q15_t)0x30cd, (q15_t)0x89ac, (q15_t)0x30c7, (q15_t)0x89a9, (q15_t)0x30c1, (q15_t)0x89a7, (q15_t)0x30bb, (q15_t)0x89a4,
+  (q15_t)0x30b6, (q15_t)0x89a2, (q15_t)0x30b0, (q15_t)0x89a0, (q15_t)0x30aa, (q15_t)0x899d, (q15_t)0x30a4, (q15_t)0x899b,
+  (q15_t)0x309e, (q15_t)0x8998, (q15_t)0x3099, (q15_t)0x8996, (q15_t)0x3093, (q15_t)0x8994, (q15_t)0x308d, (q15_t)0x8991,
+  (q15_t)0x3087, (q15_t)0x898f, (q15_t)0x3081, (q15_t)0x898d, (q15_t)0x307b, (q15_t)0x898a, (q15_t)0x3076, (q15_t)0x8988,
+  (q15_t)0x3070, (q15_t)0x8985, (q15_t)0x306a, (q15_t)0x8983, (q15_t)0x3064, (q15_t)0x8981, (q15_t)0x305e, (q15_t)0x897e,
+  (q15_t)0x3059, (q15_t)0x897c, (q15_t)0x3053, (q15_t)0x897a, (q15_t)0x304d, (q15_t)0x8977, (q15_t)0x3047, (q15_t)0x8975,
+  (q15_t)0x3041, (q15_t)0x8972, (q15_t)0x303b, (q15_t)0x8970, (q15_t)0x3036, (q15_t)0x896e, (q15_t)0x3030, (q15_t)0x896b,
+  (q15_t)0x302a, (q15_t)0x8969, (q15_t)0x3024, (q15_t)0x8967, (q15_t)0x301e, (q15_t)0x8964, (q15_t)0x3019, (q15_t)0x8962,
+  (q15_t)0x3013, (q15_t)0x8960, (q15_t)0x300d, (q15_t)0x895d, (q15_t)0x3007, (q15_t)0x895b, (q15_t)0x3001, (q15_t)0x8958,
+  (q15_t)0x2ffb, (q15_t)0x8956, (q15_t)0x2ff6, (q15_t)0x8954, (q15_t)0x2ff0, (q15_t)0x8951, (q15_t)0x2fea, (q15_t)0x894f,
+  (q15_t)0x2fe4, (q15_t)0x894d, (q15_t)0x2fde, (q15_t)0x894a, (q15_t)0x2fd8, (q15_t)0x8948, (q15_t)0x2fd3, (q15_t)0x8946,
+  (q15_t)0x2fcd, (q15_t)0x8943, (q15_t)0x2fc7, (q15_t)0x8941, (q15_t)0x2fc1, (q15_t)0x893f, (q15_t)0x2fbb, (q15_t)0x893c,
+  (q15_t)0x2fb5, (q15_t)0x893a, (q15_t)0x2fb0, (q15_t)0x8938, (q15_t)0x2faa, (q15_t)0x8935, (q15_t)0x2fa4, (q15_t)0x8933,
+  (q15_t)0x2f9e, (q15_t)0x8931, (q15_t)0x2f98, (q15_t)0x892e, (q15_t)0x2f92, (q15_t)0x892c, (q15_t)0x2f8d, (q15_t)0x892a,
+  (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2f81, (q15_t)0x8925, (q15_t)0x2f7b, (q15_t)0x8923, (q15_t)0x2f75, (q15_t)0x8920,
+  (q15_t)0x2f6f, (q15_t)0x891e, (q15_t)0x2f6a, (q15_t)0x891c, (q15_t)0x2f64, (q15_t)0x8919, (q15_t)0x2f5e, (q15_t)0x8917,
+  (q15_t)0x2f58, (q15_t)0x8915, (q15_t)0x2f52, (q15_t)0x8912, (q15_t)0x2f4c, (q15_t)0x8910, (q15_t)0x2f47, (q15_t)0x890e,
+  (q15_t)0x2f41, (q15_t)0x890b, (q15_t)0x2f3b, (q15_t)0x8909, (q15_t)0x2f35, (q15_t)0x8907, (q15_t)0x2f2f, (q15_t)0x8904,
+  (q15_t)0x2f29, (q15_t)0x8902, (q15_t)0x2f24, (q15_t)0x8900, (q15_t)0x2f1e, (q15_t)0x88fd, (q15_t)0x2f18, (q15_t)0x88fb,
+  (q15_t)0x2f12, (q15_t)0x88f9, (q15_t)0x2f0c, (q15_t)0x88f6, (q15_t)0x2f06, (q15_t)0x88f4, (q15_t)0x2f01, (q15_t)0x88f2,
+  (q15_t)0x2efb, (q15_t)0x88f0, (q15_t)0x2ef5, (q15_t)0x88ed, (q15_t)0x2eef, (q15_t)0x88eb, (q15_t)0x2ee9, (q15_t)0x88e9,
+  (q15_t)0x2ee3, (q15_t)0x88e6, (q15_t)0x2edd, (q15_t)0x88e4, (q15_t)0x2ed8, (q15_t)0x88e2, (q15_t)0x2ed2, (q15_t)0x88df,
+  (q15_t)0x2ecc, (q15_t)0x88dd, (q15_t)0x2ec6, (q15_t)0x88db, (q15_t)0x2ec0, (q15_t)0x88d9, (q15_t)0x2eba, (q15_t)0x88d6,
+  (q15_t)0x2eb5, (q15_t)0x88d4, (q15_t)0x2eaf, (q15_t)0x88d2, (q15_t)0x2ea9, (q15_t)0x88cf, (q15_t)0x2ea3, (q15_t)0x88cd,
+  (q15_t)0x2e9d, (q15_t)0x88cb, (q15_t)0x2e97, (q15_t)0x88c8, (q15_t)0x2e91, (q15_t)0x88c6, (q15_t)0x2e8c, (q15_t)0x88c4,
+  (q15_t)0x2e86, (q15_t)0x88c2, (q15_t)0x2e80, (q15_t)0x88bf, (q15_t)0x2e7a, (q15_t)0x88bd, (q15_t)0x2e74, (q15_t)0x88bb,
+  (q15_t)0x2e6e, (q15_t)0x88b9, (q15_t)0x2e68, (q15_t)0x88b6, (q15_t)0x2e63, (q15_t)0x88b4, (q15_t)0x2e5d, (q15_t)0x88b2,
+  (q15_t)0x2e57, (q15_t)0x88af, (q15_t)0x2e51, (q15_t)0x88ad, (q15_t)0x2e4b, (q15_t)0x88ab, (q15_t)0x2e45, (q15_t)0x88a9,
+  (q15_t)0x2e3f, (q15_t)0x88a6, (q15_t)0x2e3a, (q15_t)0x88a4, (q15_t)0x2e34, (q15_t)0x88a2, (q15_t)0x2e2e, (q15_t)0x88a0,
+  (q15_t)0x2e28, (q15_t)0x889d, (q15_t)0x2e22, (q15_t)0x889b, (q15_t)0x2e1c, (q15_t)0x8899, (q15_t)0x2e16, (q15_t)0x8896,
+  (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2e0b, (q15_t)0x8892, (q15_t)0x2e05, (q15_t)0x8890, (q15_t)0x2dff, (q15_t)0x888d,
+  (q15_t)0x2df9, (q15_t)0x888b, (q15_t)0x2df3, (q15_t)0x8889, (q15_t)0x2ded, (q15_t)0x8887, (q15_t)0x2de7, (q15_t)0x8884,
+  (q15_t)0x2de2, (q15_t)0x8882, (q15_t)0x2ddc, (q15_t)0x8880, (q15_t)0x2dd6, (q15_t)0x887e, (q15_t)0x2dd0, (q15_t)0x887b,
+  (q15_t)0x2dca, (q15_t)0x8879, (q15_t)0x2dc4, (q15_t)0x8877, (q15_t)0x2dbe, (q15_t)0x8875, (q15_t)0x2db9, (q15_t)0x8872,
+  (q15_t)0x2db3, (q15_t)0x8870, (q15_t)0x2dad, (q15_t)0x886e, (q15_t)0x2da7, (q15_t)0x886c, (q15_t)0x2da1, (q15_t)0x8869,
+  (q15_t)0x2d9b, (q15_t)0x8867, (q15_t)0x2d95, (q15_t)0x8865, (q15_t)0x2d8f, (q15_t)0x8863, (q15_t)0x2d8a, (q15_t)0x8860,
+  (q15_t)0x2d84, (q15_t)0x885e, (q15_t)0x2d7e, (q15_t)0x885c, (q15_t)0x2d78, (q15_t)0x885a, (q15_t)0x2d72, (q15_t)0x8858,
+  (q15_t)0x2d6c, (q15_t)0x8855, (q15_t)0x2d66, (q15_t)0x8853, (q15_t)0x2d60, (q15_t)0x8851, (q15_t)0x2d5b, (q15_t)0x884f,
+  (q15_t)0x2d55, (q15_t)0x884c, (q15_t)0x2d4f, (q15_t)0x884a, (q15_t)0x2d49, (q15_t)0x8848, (q15_t)0x2d43, (q15_t)0x8846,
+  (q15_t)0x2d3d, (q15_t)0x8844, (q15_t)0x2d37, (q15_t)0x8841, (q15_t)0x2d31, (q15_t)0x883f, (q15_t)0x2d2c, (q15_t)0x883d,
+  (q15_t)0x2d26, (q15_t)0x883b, (q15_t)0x2d20, (q15_t)0x8838, (q15_t)0x2d1a, (q15_t)0x8836, (q15_t)0x2d14, (q15_t)0x8834,
+  (q15_t)0x2d0e, (q15_t)0x8832, (q15_t)0x2d08, (q15_t)0x8830, (q15_t)0x2d02, (q15_t)0x882d, (q15_t)0x2cfd, (q15_t)0x882b,
+  (q15_t)0x2cf7, (q15_t)0x8829, (q15_t)0x2cf1, (q15_t)0x8827, (q15_t)0x2ceb, (q15_t)0x8825, (q15_t)0x2ce5, (q15_t)0x8822,
+  (q15_t)0x2cdf, (q15_t)0x8820, (q15_t)0x2cd9, (q15_t)0x881e, (q15_t)0x2cd3, (q15_t)0x881c, (q15_t)0x2ccd, (q15_t)0x881a,
+  (q15_t)0x2cc8, (q15_t)0x8817, (q15_t)0x2cc2, (q15_t)0x8815, (q15_t)0x2cbc, (q15_t)0x8813, (q15_t)0x2cb6, (q15_t)0x8811,
+  (q15_t)0x2cb0, (q15_t)0x880f, (q15_t)0x2caa, (q15_t)0x880c, (q15_t)0x2ca4, (q15_t)0x880a, (q15_t)0x2c9e, (q15_t)0x8808,
+  (q15_t)0x2c98, (q15_t)0x8806, (q15_t)0x2c93, (q15_t)0x8804, (q15_t)0x2c8d, (q15_t)0x8801, (q15_t)0x2c87, (q15_t)0x87ff,
+  (q15_t)0x2c81, (q15_t)0x87fd, (q15_t)0x2c7b, (q15_t)0x87fb, (q15_t)0x2c75, (q15_t)0x87f9, (q15_t)0x2c6f, (q15_t)0x87f6,
+  (q15_t)0x2c69, (q15_t)0x87f4, (q15_t)0x2c63, (q15_t)0x87f2, (q15_t)0x2c5e, (q15_t)0x87f0, (q15_t)0x2c58, (q15_t)0x87ee,
+  (q15_t)0x2c52, (q15_t)0x87ec, (q15_t)0x2c4c, (q15_t)0x87e9, (q15_t)0x2c46, (q15_t)0x87e7, (q15_t)0x2c40, (q15_t)0x87e5,
+  (q15_t)0x2c3a, (q15_t)0x87e3, (q15_t)0x2c34, (q15_t)0x87e1, (q15_t)0x2c2e, (q15_t)0x87df, (q15_t)0x2c29, (q15_t)0x87dc,
+  (q15_t)0x2c23, (q15_t)0x87da, (q15_t)0x2c1d, (q15_t)0x87d8, (q15_t)0x2c17, (q15_t)0x87d6, (q15_t)0x2c11, (q15_t)0x87d4,
+  (q15_t)0x2c0b, (q15_t)0x87d2, (q15_t)0x2c05, (q15_t)0x87cf, (q15_t)0x2bff, (q15_t)0x87cd, (q15_t)0x2bf9, (q15_t)0x87cb,
+  (q15_t)0x2bf3, (q15_t)0x87c9, (q15_t)0x2bee, (q15_t)0x87c7, (q15_t)0x2be8, (q15_t)0x87c5, (q15_t)0x2be2, (q15_t)0x87c2,
+  (q15_t)0x2bdc, (q15_t)0x87c0, (q15_t)0x2bd6, (q15_t)0x87be, (q15_t)0x2bd0, (q15_t)0x87bc, (q15_t)0x2bca, (q15_t)0x87ba,
+  (q15_t)0x2bc4, (q15_t)0x87b8, (q15_t)0x2bbe, (q15_t)0x87b6, (q15_t)0x2bb8, (q15_t)0x87b3, (q15_t)0x2bb2, (q15_t)0x87b1,
+  (q15_t)0x2bad, (q15_t)0x87af, (q15_t)0x2ba7, (q15_t)0x87ad, (q15_t)0x2ba1, (q15_t)0x87ab, (q15_t)0x2b9b, (q15_t)0x87a9,
+  (q15_t)0x2b95, (q15_t)0x87a7, (q15_t)0x2b8f, (q15_t)0x87a4, (q15_t)0x2b89, (q15_t)0x87a2, (q15_t)0x2b83, (q15_t)0x87a0,
+  (q15_t)0x2b7d, (q15_t)0x879e, (q15_t)0x2b77, (q15_t)0x879c, (q15_t)0x2b71, (q15_t)0x879a, (q15_t)0x2b6c, (q15_t)0x8798,
+  (q15_t)0x2b66, (q15_t)0x8795, (q15_t)0x2b60, (q15_t)0x8793, (q15_t)0x2b5a, (q15_t)0x8791, (q15_t)0x2b54, (q15_t)0x878f,
+  (q15_t)0x2b4e, (q15_t)0x878d, (q15_t)0x2b48, (q15_t)0x878b, (q15_t)0x2b42, (q15_t)0x8789, (q15_t)0x2b3c, (q15_t)0x8787,
+  (q15_t)0x2b36, (q15_t)0x8784, (q15_t)0x2b30, (q15_t)0x8782, (q15_t)0x2b2b, (q15_t)0x8780, (q15_t)0x2b25, (q15_t)0x877e,
+  (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x2b19, (q15_t)0x877a, (q15_t)0x2b13, (q15_t)0x8778, (q15_t)0x2b0d, (q15_t)0x8776,
+  (q15_t)0x2b07, (q15_t)0x8774, (q15_t)0x2b01, (q15_t)0x8771, (q15_t)0x2afb, (q15_t)0x876f, (q15_t)0x2af5, (q15_t)0x876d,
+  (q15_t)0x2aef, (q15_t)0x876b, (q15_t)0x2ae9, (q15_t)0x8769, (q15_t)0x2ae4, (q15_t)0x8767, (q15_t)0x2ade, (q15_t)0x8765,
+  (q15_t)0x2ad8, (q15_t)0x8763, (q15_t)0x2ad2, (q15_t)0x8761, (q15_t)0x2acc, (q15_t)0x875e, (q15_t)0x2ac6, (q15_t)0x875c,
+  (q15_t)0x2ac0, (q15_t)0x875a, (q15_t)0x2aba, (q15_t)0x8758, (q15_t)0x2ab4, (q15_t)0x8756, (q15_t)0x2aae, (q15_t)0x8754,
+  (q15_t)0x2aa8, (q15_t)0x8752, (q15_t)0x2aa2, (q15_t)0x8750, (q15_t)0x2a9c, (q15_t)0x874e, (q15_t)0x2a97, (q15_t)0x874c,
+  (q15_t)0x2a91, (q15_t)0x874a, (q15_t)0x2a8b, (q15_t)0x8747, (q15_t)0x2a85, (q15_t)0x8745, (q15_t)0x2a7f, (q15_t)0x8743,
+  (q15_t)0x2a79, (q15_t)0x8741, (q15_t)0x2a73, (q15_t)0x873f, (q15_t)0x2a6d, (q15_t)0x873d, (q15_t)0x2a67, (q15_t)0x873b,
+  (q15_t)0x2a61, (q15_t)0x8739, (q15_t)0x2a5b, (q15_t)0x8737, (q15_t)0x2a55, (q15_t)0x8735, (q15_t)0x2a4f, (q15_t)0x8733,
+  (q15_t)0x2a49, (q15_t)0x8731, (q15_t)0x2a44, (q15_t)0x872e, (q15_t)0x2a3e, (q15_t)0x872c, (q15_t)0x2a38, (q15_t)0x872a,
+  (q15_t)0x2a32, (q15_t)0x8728, (q15_t)0x2a2c, (q15_t)0x8726, (q15_t)0x2a26, (q15_t)0x8724, (q15_t)0x2a20, (q15_t)0x8722,
+  (q15_t)0x2a1a, (q15_t)0x8720, (q15_t)0x2a14, (q15_t)0x871e, (q15_t)0x2a0e, (q15_t)0x871c, (q15_t)0x2a08, (q15_t)0x871a,
+  (q15_t)0x2a02, (q15_t)0x8718, (q15_t)0x29fc, (q15_t)0x8716, (q15_t)0x29f6, (q15_t)0x8714, (q15_t)0x29f0, (q15_t)0x8712,
+  (q15_t)0x29eb, (q15_t)0x870f, (q15_t)0x29e5, (q15_t)0x870d, (q15_t)0x29df, (q15_t)0x870b, (q15_t)0x29d9, (q15_t)0x8709,
+  (q15_t)0x29d3, (q15_t)0x8707, (q15_t)0x29cd, (q15_t)0x8705, (q15_t)0x29c7, (q15_t)0x8703, (q15_t)0x29c1, (q15_t)0x8701,
+  (q15_t)0x29bb, (q15_t)0x86ff, (q15_t)0x29b5, (q15_t)0x86fd, (q15_t)0x29af, (q15_t)0x86fb, (q15_t)0x29a9, (q15_t)0x86f9,
+  (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x299d, (q15_t)0x86f5, (q15_t)0x2997, (q15_t)0x86f3, (q15_t)0x2991, (q15_t)0x86f1,
+  (q15_t)0x298b, (q15_t)0x86ef, (q15_t)0x2986, (q15_t)0x86ed, (q15_t)0x2980, (q15_t)0x86eb, (q15_t)0x297a, (q15_t)0x86e9,
+  (q15_t)0x2974, (q15_t)0x86e7, (q15_t)0x296e, (q15_t)0x86e4, (q15_t)0x2968, (q15_t)0x86e2, (q15_t)0x2962, (q15_t)0x86e0,
+  (q15_t)0x295c, (q15_t)0x86de, (q15_t)0x2956, (q15_t)0x86dc, (q15_t)0x2950, (q15_t)0x86da, (q15_t)0x294a, (q15_t)0x86d8,
+  (q15_t)0x2944, (q15_t)0x86d6, (q15_t)0x293e, (q15_t)0x86d4, (q15_t)0x2938, (q15_t)0x86d2, (q15_t)0x2932, (q15_t)0x86d0,
+  (q15_t)0x292c, (q15_t)0x86ce, (q15_t)0x2926, (q15_t)0x86cc, (q15_t)0x2920, (q15_t)0x86ca, (q15_t)0x291b, (q15_t)0x86c8,
+  (q15_t)0x2915, (q15_t)0x86c6, (q15_t)0x290f, (q15_t)0x86c4, (q15_t)0x2909, (q15_t)0x86c2, (q15_t)0x2903, (q15_t)0x86c0,
+  (q15_t)0x28fd, (q15_t)0x86be, (q15_t)0x28f7, (q15_t)0x86bc, (q15_t)0x28f1, (q15_t)0x86ba, (q15_t)0x28eb, (q15_t)0x86b8,
+  (q15_t)0x28e5, (q15_t)0x86b6, (q15_t)0x28df, (q15_t)0x86b4, (q15_t)0x28d9, (q15_t)0x86b2, (q15_t)0x28d3, (q15_t)0x86b0,
+  (q15_t)0x28cd, (q15_t)0x86ae, (q15_t)0x28c7, (q15_t)0x86ac, (q15_t)0x28c1, (q15_t)0x86aa, (q15_t)0x28bb, (q15_t)0x86a8,
+  (q15_t)0x28b5, (q15_t)0x86a6, (q15_t)0x28af, (q15_t)0x86a4, (q15_t)0x28a9, (q15_t)0x86a2, (q15_t)0x28a3, (q15_t)0x86a0,
+  (q15_t)0x289d, (q15_t)0x869e, (q15_t)0x2898, (q15_t)0x869c, (q15_t)0x2892, (q15_t)0x869a, (q15_t)0x288c, (q15_t)0x8698,
+  (q15_t)0x2886, (q15_t)0x8696, (q15_t)0x2880, (q15_t)0x8694, (q15_t)0x287a, (q15_t)0x8692, (q15_t)0x2874, (q15_t)0x8690,
+  (q15_t)0x286e, (q15_t)0x868e, (q15_t)0x2868, (q15_t)0x868c, (q15_t)0x2862, (q15_t)0x868a, (q15_t)0x285c, (q15_t)0x8688,
+  (q15_t)0x2856, (q15_t)0x8686, (q15_t)0x2850, (q15_t)0x8684, (q15_t)0x284a, (q15_t)0x8682, (q15_t)0x2844, (q15_t)0x8680,
+  (q15_t)0x283e, (q15_t)0x867e, (q15_t)0x2838, (q15_t)0x867c, (q15_t)0x2832, (q15_t)0x867a, (q15_t)0x282c, (q15_t)0x8678,
+  (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x2820, (q15_t)0x8674, (q15_t)0x281a, (q15_t)0x8672, (q15_t)0x2814, (q15_t)0x8670,
+  (q15_t)0x280e, (q15_t)0x866e, (q15_t)0x2808, (q15_t)0x866d, (q15_t)0x2802, (q15_t)0x866b, (q15_t)0x27fc, (q15_t)0x8669,
+  (q15_t)0x27f6, (q15_t)0x8667, (q15_t)0x27f1, (q15_t)0x8665, (q15_t)0x27eb, (q15_t)0x8663, (q15_t)0x27e5, (q15_t)0x8661,
+  (q15_t)0x27df, (q15_t)0x865f, (q15_t)0x27d9, (q15_t)0x865d, (q15_t)0x27d3, (q15_t)0x865b, (q15_t)0x27cd, (q15_t)0x8659,
+  (q15_t)0x27c7, (q15_t)0x8657, (q15_t)0x27c1, (q15_t)0x8655, (q15_t)0x27bb, (q15_t)0x8653, (q15_t)0x27b5, (q15_t)0x8651,
+  (q15_t)0x27af, (q15_t)0x864f, (q15_t)0x27a9, (q15_t)0x864d, (q15_t)0x27a3, (q15_t)0x864b, (q15_t)0x279d, (q15_t)0x8649,
+  (q15_t)0x2797, (q15_t)0x8647, (q15_t)0x2791, (q15_t)0x8645, (q15_t)0x278b, (q15_t)0x8644, (q15_t)0x2785, (q15_t)0x8642,
+  (q15_t)0x277f, (q15_t)0x8640, (q15_t)0x2779, (q15_t)0x863e, (q15_t)0x2773, (q15_t)0x863c, (q15_t)0x276d, (q15_t)0x863a,
+  (q15_t)0x2767, (q15_t)0x8638, (q15_t)0x2761, (q15_t)0x8636, (q15_t)0x275b, (q15_t)0x8634, (q15_t)0x2755, (q15_t)0x8632,
+  (q15_t)0x274f, (q15_t)0x8630, (q15_t)0x2749, (q15_t)0x862e, (q15_t)0x2743, (q15_t)0x862c, (q15_t)0x273d, (q15_t)0x862a,
+  (q15_t)0x2737, (q15_t)0x8628, (q15_t)0x2731, (q15_t)0x8627, (q15_t)0x272b, (q15_t)0x8625, (q15_t)0x2725, (q15_t)0x8623,
+  (q15_t)0x271f, (q15_t)0x8621, (q15_t)0x2719, (q15_t)0x861f, (q15_t)0x2713, (q15_t)0x861d, (q15_t)0x270d, (q15_t)0x861b,
+  (q15_t)0x2707, (q15_t)0x8619, (q15_t)0x2701, (q15_t)0x8617, (q15_t)0x26fb, (q15_t)0x8615, (q15_t)0x26f5, (q15_t)0x8613,
+  (q15_t)0x26ef, (q15_t)0x8611, (q15_t)0x26e9, (q15_t)0x8610, (q15_t)0x26e4, (q15_t)0x860e, (q15_t)0x26de, (q15_t)0x860c,
+  (q15_t)0x26d8, (q15_t)0x860a, (q15_t)0x26d2, (q15_t)0x8608, (q15_t)0x26cc, (q15_t)0x8606, (q15_t)0x26c6, (q15_t)0x8604,
+  (q15_t)0x26c0, (q15_t)0x8602, (q15_t)0x26ba, (q15_t)0x8600, (q15_t)0x26b4, (q15_t)0x85fe, (q15_t)0x26ae, (q15_t)0x85fc,
+  (q15_t)0x26a8, (q15_t)0x85fb, (q15_t)0x26a2, (q15_t)0x85f9, (q15_t)0x269c, (q15_t)0x85f7, (q15_t)0x2696, (q15_t)0x85f5,
+  (q15_t)0x2690, (q15_t)0x85f3, (q15_t)0x268a, (q15_t)0x85f1, (q15_t)0x2684, (q15_t)0x85ef, (q15_t)0x267e, (q15_t)0x85ed,
+  (q15_t)0x2678, (q15_t)0x85eb, (q15_t)0x2672, (q15_t)0x85ea, (q15_t)0x266c, (q15_t)0x85e8, (q15_t)0x2666, (q15_t)0x85e6,
+  (q15_t)0x2660, (q15_t)0x85e4, (q15_t)0x265a, (q15_t)0x85e2, (q15_t)0x2654, (q15_t)0x85e0, (q15_t)0x264e, (q15_t)0x85de,
+  (q15_t)0x2648, (q15_t)0x85dc, (q15_t)0x2642, (q15_t)0x85da, (q15_t)0x263c, (q15_t)0x85d9, (q15_t)0x2636, (q15_t)0x85d7,
+  (q15_t)0x2630, (q15_t)0x85d5, (q15_t)0x262a, (q15_t)0x85d3, (q15_t)0x2624, (q15_t)0x85d1, (q15_t)0x261e, (q15_t)0x85cf,
+  (q15_t)0x2618, (q15_t)0x85cd, (q15_t)0x2612, (q15_t)0x85cb, (q15_t)0x260c, (q15_t)0x85ca, (q15_t)0x2606, (q15_t)0x85c8,
+  (q15_t)0x2600, (q15_t)0x85c6, (q15_t)0x25fa, (q15_t)0x85c4, (q15_t)0x25f4, (q15_t)0x85c2, (q15_t)0x25ee, (q15_t)0x85c0,
+  (q15_t)0x25e8, (q15_t)0x85be, (q15_t)0x25e2, (q15_t)0x85bd, (q15_t)0x25dc, (q15_t)0x85bb, (q15_t)0x25d6, (q15_t)0x85b9,
+  (q15_t)0x25d0, (q15_t)0x85b7, (q15_t)0x25ca, (q15_t)0x85b5, (q15_t)0x25c4, (q15_t)0x85b3, (q15_t)0x25be, (q15_t)0x85b1,
+  (q15_t)0x25b8, (q15_t)0x85b0, (q15_t)0x25b2, (q15_t)0x85ae, (q15_t)0x25ac, (q15_t)0x85ac, (q15_t)0x25a6, (q15_t)0x85aa,
+  (q15_t)0x25a0, (q15_t)0x85a8, (q15_t)0x259a, (q15_t)0x85a6, (q15_t)0x2594, (q15_t)0x85a4, (q15_t)0x258e, (q15_t)0x85a3,
+  (q15_t)0x2588, (q15_t)0x85a1, (q15_t)0x2582, (q15_t)0x859f, (q15_t)0x257c, (q15_t)0x859d, (q15_t)0x2576, (q15_t)0x859b,
+  (q15_t)0x2570, (q15_t)0x8599, (q15_t)0x256a, (q15_t)0x8598, (q15_t)0x2564, (q15_t)0x8596, (q15_t)0x255e, (q15_t)0x8594,
+  (q15_t)0x2558, (q15_t)0x8592, (q15_t)0x2552, (q15_t)0x8590, (q15_t)0x254c, (q15_t)0x858e, (q15_t)0x2546, (q15_t)0x858d,
+  (q15_t)0x2540, (q15_t)0x858b, (q15_t)0x253a, (q15_t)0x8589, (q15_t)0x2534, (q15_t)0x8587, (q15_t)0x252e, (q15_t)0x8585,
+  (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x2522, (q15_t)0x8582, (q15_t)0x251c, (q15_t)0x8580, (q15_t)0x2516, (q15_t)0x857e,
+  (q15_t)0x250f, (q15_t)0x857c, (q15_t)0x2509, (q15_t)0x857a, (q15_t)0x2503, (q15_t)0x8579, (q15_t)0x24fd, (q15_t)0x8577,
+  (q15_t)0x24f7, (q15_t)0x8575, (q15_t)0x24f1, (q15_t)0x8573, (q15_t)0x24eb, (q15_t)0x8571, (q15_t)0x24e5, (q15_t)0x856f,
+  (q15_t)0x24df, (q15_t)0x856e, (q15_t)0x24d9, (q15_t)0x856c, (q15_t)0x24d3, (q15_t)0x856a, (q15_t)0x24cd, (q15_t)0x8568,
+  (q15_t)0x24c7, (q15_t)0x8566, (q15_t)0x24c1, (q15_t)0x8565, (q15_t)0x24bb, (q15_t)0x8563, (q15_t)0x24b5, (q15_t)0x8561,
+  (q15_t)0x24af, (q15_t)0x855f, (q15_t)0x24a9, (q15_t)0x855d, (q15_t)0x24a3, (q15_t)0x855c, (q15_t)0x249d, (q15_t)0x855a,
+  (q15_t)0x2497, (q15_t)0x8558, (q15_t)0x2491, (q15_t)0x8556, (q15_t)0x248b, (q15_t)0x8554, (q15_t)0x2485, (q15_t)0x8553,
+  (q15_t)0x247f, (q15_t)0x8551, (q15_t)0x2479, (q15_t)0x854f, (q15_t)0x2473, (q15_t)0x854d, (q15_t)0x246d, (q15_t)0x854b,
+  (q15_t)0x2467, (q15_t)0x854a, (q15_t)0x2461, (q15_t)0x8548, (q15_t)0x245b, (q15_t)0x8546, (q15_t)0x2455, (q15_t)0x8544,
+  (q15_t)0x244f, (q15_t)0x8543, (q15_t)0x2449, (q15_t)0x8541, (q15_t)0x2443, (q15_t)0x853f, (q15_t)0x243d, (q15_t)0x853d,
+  (q15_t)0x2437, (q15_t)0x853b, (q15_t)0x2431, (q15_t)0x853a, (q15_t)0x242b, (q15_t)0x8538, (q15_t)0x2425, (q15_t)0x8536,
+  (q15_t)0x241f, (q15_t)0x8534, (q15_t)0x2419, (q15_t)0x8533, (q15_t)0x2413, (q15_t)0x8531, (q15_t)0x240d, (q15_t)0x852f,
+  (q15_t)0x2407, (q15_t)0x852d, (q15_t)0x2401, (q15_t)0x852b, (q15_t)0x23fa, (q15_t)0x852a, (q15_t)0x23f4, (q15_t)0x8528,
+  (q15_t)0x23ee, (q15_t)0x8526, (q15_t)0x23e8, (q15_t)0x8524, (q15_t)0x23e2, (q15_t)0x8523, (q15_t)0x23dc, (q15_t)0x8521,
+  (q15_t)0x23d6, (q15_t)0x851f, (q15_t)0x23d0, (q15_t)0x851d, (q15_t)0x23ca, (q15_t)0x851c, (q15_t)0x23c4, (q15_t)0x851a,
+  (q15_t)0x23be, (q15_t)0x8518, (q15_t)0x23b8, (q15_t)0x8516, (q15_t)0x23b2, (q15_t)0x8515, (q15_t)0x23ac, (q15_t)0x8513,
+  (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x23a0, (q15_t)0x850f, (q15_t)0x239a, (q15_t)0x850e, (q15_t)0x2394, (q15_t)0x850c,
+  (q15_t)0x238e, (q15_t)0x850a, (q15_t)0x2388, (q15_t)0x8508, (q15_t)0x2382, (q15_t)0x8507, (q15_t)0x237c, (q15_t)0x8505,
+  (q15_t)0x2376, (q15_t)0x8503, (q15_t)0x2370, (q15_t)0x8501, (q15_t)0x236a, (q15_t)0x8500, (q15_t)0x2364, (q15_t)0x84fe,
+  (q15_t)0x235e, (q15_t)0x84fc, (q15_t)0x2358, (q15_t)0x84fa, (q15_t)0x2352, (q15_t)0x84f9, (q15_t)0x234b, (q15_t)0x84f7,
+  (q15_t)0x2345, (q15_t)0x84f5, (q15_t)0x233f, (q15_t)0x84f4, (q15_t)0x2339, (q15_t)0x84f2, (q15_t)0x2333, (q15_t)0x84f0,
+  (q15_t)0x232d, (q15_t)0x84ee, (q15_t)0x2327, (q15_t)0x84ed, (q15_t)0x2321, (q15_t)0x84eb, (q15_t)0x231b, (q15_t)0x84e9,
+  (q15_t)0x2315, (q15_t)0x84e7, (q15_t)0x230f, (q15_t)0x84e6, (q15_t)0x2309, (q15_t)0x84e4, (q15_t)0x2303, (q15_t)0x84e2,
+  (q15_t)0x22fd, (q15_t)0x84e1, (q15_t)0x22f7, (q15_t)0x84df, (q15_t)0x22f1, (q15_t)0x84dd, (q15_t)0x22eb, (q15_t)0x84db,
+  (q15_t)0x22e5, (q15_t)0x84da, (q15_t)0x22df, (q15_t)0x84d8, (q15_t)0x22d9, (q15_t)0x84d6, (q15_t)0x22d3, (q15_t)0x84d5,
+  (q15_t)0x22cd, (q15_t)0x84d3, (q15_t)0x22c7, (q15_t)0x84d1, (q15_t)0x22c0, (q15_t)0x84cf, (q15_t)0x22ba, (q15_t)0x84ce,
+  (q15_t)0x22b4, (q15_t)0x84cc, (q15_t)0x22ae, (q15_t)0x84ca, (q15_t)0x22a8, (q15_t)0x84c9, (q15_t)0x22a2, (q15_t)0x84c7,
+  (q15_t)0x229c, (q15_t)0x84c5, (q15_t)0x2296, (q15_t)0x84c4, (q15_t)0x2290, (q15_t)0x84c2, (q15_t)0x228a, (q15_t)0x84c0,
+  (q15_t)0x2284, (q15_t)0x84be, (q15_t)0x227e, (q15_t)0x84bd, (q15_t)0x2278, (q15_t)0x84bb, (q15_t)0x2272, (q15_t)0x84b9,
+  (q15_t)0x226c, (q15_t)0x84b8, (q15_t)0x2266, (q15_t)0x84b6, (q15_t)0x2260, (q15_t)0x84b4, (q15_t)0x225a, (q15_t)0x84b3,
+  (q15_t)0x2254, (q15_t)0x84b1, (q15_t)0x224e, (q15_t)0x84af, (q15_t)0x2247, (q15_t)0x84ae, (q15_t)0x2241, (q15_t)0x84ac,
+  (q15_t)0x223b, (q15_t)0x84aa, (q15_t)0x2235, (q15_t)0x84a9, (q15_t)0x222f, (q15_t)0x84a7, (q15_t)0x2229, (q15_t)0x84a5,
+  (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x221d, (q15_t)0x84a2, (q15_t)0x2217, (q15_t)0x84a0, (q15_t)0x2211, (q15_t)0x849e,
+  (q15_t)0x220b, (q15_t)0x849d, (q15_t)0x2205, (q15_t)0x849b, (q15_t)0x21ff, (q15_t)0x8499, (q15_t)0x21f9, (q15_t)0x8498,
+  (q15_t)0x21f3, (q15_t)0x8496, (q15_t)0x21ed, (q15_t)0x8494, (q15_t)0x21e7, (q15_t)0x8493, (q15_t)0x21e1, (q15_t)0x8491,
+  (q15_t)0x21da, (q15_t)0x848f, (q15_t)0x21d4, (q15_t)0x848e, (q15_t)0x21ce, (q15_t)0x848c, (q15_t)0x21c8, (q15_t)0x848a,
+  (q15_t)0x21c2, (q15_t)0x8489, (q15_t)0x21bc, (q15_t)0x8487, (q15_t)0x21b6, (q15_t)0x8486, (q15_t)0x21b0, (q15_t)0x8484,
+  (q15_t)0x21aa, (q15_t)0x8482, (q15_t)0x21a4, (q15_t)0x8481, (q15_t)0x219e, (q15_t)0x847f, (q15_t)0x2198, (q15_t)0x847d,
+  (q15_t)0x2192, (q15_t)0x847c, (q15_t)0x218c, (q15_t)0x847a, (q15_t)0x2186, (q15_t)0x8478, (q15_t)0x2180, (q15_t)0x8477,
+  (q15_t)0x2179, (q15_t)0x8475, (q15_t)0x2173, (q15_t)0x8473, (q15_t)0x216d, (q15_t)0x8472, (q15_t)0x2167, (q15_t)0x8470,
+  (q15_t)0x2161, (q15_t)0x846e, (q15_t)0x215b, (q15_t)0x846d, (q15_t)0x2155, (q15_t)0x846b, (q15_t)0x214f, (q15_t)0x846a,
+  (q15_t)0x2149, (q15_t)0x8468, (q15_t)0x2143, (q15_t)0x8466, (q15_t)0x213d, (q15_t)0x8465, (q15_t)0x2137, (q15_t)0x8463,
+  (q15_t)0x2131, (q15_t)0x8461, (q15_t)0x212b, (q15_t)0x8460, (q15_t)0x2125, (q15_t)0x845e, (q15_t)0x211e, (q15_t)0x845d,
+  (q15_t)0x2118, (q15_t)0x845b, (q15_t)0x2112, (q15_t)0x8459, (q15_t)0x210c, (q15_t)0x8458, (q15_t)0x2106, (q15_t)0x8456,
+  (q15_t)0x2100, (q15_t)0x8454, (q15_t)0x20fa, (q15_t)0x8453, (q15_t)0x20f4, (q15_t)0x8451, (q15_t)0x20ee, (q15_t)0x8450,
+  (q15_t)0x20e8, (q15_t)0x844e, (q15_t)0x20e2, (q15_t)0x844c, (q15_t)0x20dc, (q15_t)0x844b, (q15_t)0x20d6, (q15_t)0x8449,
+  (q15_t)0x20d0, (q15_t)0x8447, (q15_t)0x20c9, (q15_t)0x8446, (q15_t)0x20c3, (q15_t)0x8444, (q15_t)0x20bd, (q15_t)0x8443,
+  (q15_t)0x20b7, (q15_t)0x8441, (q15_t)0x20b1, (q15_t)0x843f, (q15_t)0x20ab, (q15_t)0x843e, (q15_t)0x20a5, (q15_t)0x843c,
+  (q15_t)0x209f, (q15_t)0x843b, (q15_t)0x2099, (q15_t)0x8439, (q15_t)0x2093, (q15_t)0x8437, (q15_t)0x208d, (q15_t)0x8436,
+  (q15_t)0x2087, (q15_t)0x8434, (q15_t)0x2081, (q15_t)0x8433, (q15_t)0x207a, (q15_t)0x8431, (q15_t)0x2074, (q15_t)0x842f,
+  (q15_t)0x206e, (q15_t)0x842e, (q15_t)0x2068, (q15_t)0x842c, (q15_t)0x2062, (q15_t)0x842b, (q15_t)0x205c, (q15_t)0x8429,
+  (q15_t)0x2056, (q15_t)0x8427, (q15_t)0x2050, (q15_t)0x8426, (q15_t)0x204a, (q15_t)0x8424, (q15_t)0x2044, (q15_t)0x8423,
+  (q15_t)0x203e, (q15_t)0x8421, (q15_t)0x2038, (q15_t)0x8420, (q15_t)0x2032, (q15_t)0x841e, (q15_t)0x202b, (q15_t)0x841c,
+  (q15_t)0x2025, (q15_t)0x841b, (q15_t)0x201f, (q15_t)0x8419, (q15_t)0x2019, (q15_t)0x8418, (q15_t)0x2013, (q15_t)0x8416,
+  (q15_t)0x200d, (q15_t)0x8415, (q15_t)0x2007, (q15_t)0x8413, (q15_t)0x2001, (q15_t)0x8411, (q15_t)0x1ffb, (q15_t)0x8410,
+  (q15_t)0x1ff5, (q15_t)0x840e, (q15_t)0x1fef, (q15_t)0x840d, (q15_t)0x1fe9, (q15_t)0x840b, (q15_t)0x1fe2, (q15_t)0x840a,
+  (q15_t)0x1fdc, (q15_t)0x8408, (q15_t)0x1fd6, (q15_t)0x8406, (q15_t)0x1fd0, (q15_t)0x8405, (q15_t)0x1fca, (q15_t)0x8403,
+  (q15_t)0x1fc4, (q15_t)0x8402, (q15_t)0x1fbe, (q15_t)0x8400, (q15_t)0x1fb8, (q15_t)0x83ff, (q15_t)0x1fb2, (q15_t)0x83fd,
+  (q15_t)0x1fac, (q15_t)0x83fb, (q15_t)0x1fa6, (q15_t)0x83fa, (q15_t)0x1f9f, (q15_t)0x83f8, (q15_t)0x1f99, (q15_t)0x83f7,
+  (q15_t)0x1f93, (q15_t)0x83f5, (q15_t)0x1f8d, (q15_t)0x83f4, (q15_t)0x1f87, (q15_t)0x83f2, (q15_t)0x1f81, (q15_t)0x83f1,
+  (q15_t)0x1f7b, (q15_t)0x83ef, (q15_t)0x1f75, (q15_t)0x83ee, (q15_t)0x1f6f, (q15_t)0x83ec, (q15_t)0x1f69, (q15_t)0x83ea,
+  (q15_t)0x1f63, (q15_t)0x83e9, (q15_t)0x1f5d, (q15_t)0x83e7, (q15_t)0x1f56, (q15_t)0x83e6, (q15_t)0x1f50, (q15_t)0x83e4,
+  (q15_t)0x1f4a, (q15_t)0x83e3, (q15_t)0x1f44, (q15_t)0x83e1, (q15_t)0x1f3e, (q15_t)0x83e0, (q15_t)0x1f38, (q15_t)0x83de,
+  (q15_t)0x1f32, (q15_t)0x83dd, (q15_t)0x1f2c, (q15_t)0x83db, (q15_t)0x1f26, (q15_t)0x83da, (q15_t)0x1f20, (q15_t)0x83d8,
+  (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1f13, (q15_t)0x83d5, (q15_t)0x1f0d, (q15_t)0x83d3, (q15_t)0x1f07, (q15_t)0x83d2,
+  (q15_t)0x1f01, (q15_t)0x83d0, (q15_t)0x1efb, (q15_t)0x83cf, (q15_t)0x1ef5, (q15_t)0x83cd, (q15_t)0x1eef, (q15_t)0x83cc,
+  (q15_t)0x1ee9, (q15_t)0x83ca, (q15_t)0x1ee3, (q15_t)0x83c9, (q15_t)0x1edd, (q15_t)0x83c7, (q15_t)0x1ed6, (q15_t)0x83c6,
+  (q15_t)0x1ed0, (q15_t)0x83c4, (q15_t)0x1eca, (q15_t)0x83c3, (q15_t)0x1ec4, (q15_t)0x83c1, (q15_t)0x1ebe, (q15_t)0x83c0,
+  (q15_t)0x1eb8, (q15_t)0x83be, (q15_t)0x1eb2, (q15_t)0x83bd, (q15_t)0x1eac, (q15_t)0x83bb, (q15_t)0x1ea6, (q15_t)0x83ba,
+  (q15_t)0x1ea0, (q15_t)0x83b8, (q15_t)0x1e99, (q15_t)0x83b7, (q15_t)0x1e93, (q15_t)0x83b5, (q15_t)0x1e8d, (q15_t)0x83b4,
+  (q15_t)0x1e87, (q15_t)0x83b2, (q15_t)0x1e81, (q15_t)0x83b1, (q15_t)0x1e7b, (q15_t)0x83af, (q15_t)0x1e75, (q15_t)0x83ae,
+  (q15_t)0x1e6f, (q15_t)0x83ac, (q15_t)0x1e69, (q15_t)0x83ab, (q15_t)0x1e62, (q15_t)0x83a9, (q15_t)0x1e5c, (q15_t)0x83a8,
+  (q15_t)0x1e56, (q15_t)0x83a6, (q15_t)0x1e50, (q15_t)0x83a5, (q15_t)0x1e4a, (q15_t)0x83a3, (q15_t)0x1e44, (q15_t)0x83a2,
+  (q15_t)0x1e3e, (q15_t)0x83a0, (q15_t)0x1e38, (q15_t)0x839f, (q15_t)0x1e32, (q15_t)0x839d, (q15_t)0x1e2c, (q15_t)0x839c,
+  (q15_t)0x1e25, (q15_t)0x839a, (q15_t)0x1e1f, (q15_t)0x8399, (q15_t)0x1e19, (q15_t)0x8397, (q15_t)0x1e13, (q15_t)0x8396,
+  (q15_t)0x1e0d, (q15_t)0x8394, (q15_t)0x1e07, (q15_t)0x8393, (q15_t)0x1e01, (q15_t)0x8392, (q15_t)0x1dfb, (q15_t)0x8390,
+  (q15_t)0x1df5, (q15_t)0x838f, (q15_t)0x1dee, (q15_t)0x838d, (q15_t)0x1de8, (q15_t)0x838c, (q15_t)0x1de2, (q15_t)0x838a,
+  (q15_t)0x1ddc, (q15_t)0x8389, (q15_t)0x1dd6, (q15_t)0x8387, (q15_t)0x1dd0, (q15_t)0x8386, (q15_t)0x1dca, (q15_t)0x8384,
+  (q15_t)0x1dc4, (q15_t)0x8383, (q15_t)0x1dbe, (q15_t)0x8381, (q15_t)0x1db7, (q15_t)0x8380, (q15_t)0x1db1, (q15_t)0x837e,
+  (q15_t)0x1dab, (q15_t)0x837d, (q15_t)0x1da5, (q15_t)0x837c, (q15_t)0x1d9f, (q15_t)0x837a, (q15_t)0x1d99, (q15_t)0x8379,
+  (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1d8d, (q15_t)0x8376, (q15_t)0x1d87, (q15_t)0x8374, (q15_t)0x1d80, (q15_t)0x8373,
+  (q15_t)0x1d7a, (q15_t)0x8371, (q15_t)0x1d74, (q15_t)0x8370, (q15_t)0x1d6e, (q15_t)0x836f, (q15_t)0x1d68, (q15_t)0x836d,
+  (q15_t)0x1d62, (q15_t)0x836c, (q15_t)0x1d5c, (q15_t)0x836a, (q15_t)0x1d56, (q15_t)0x8369, (q15_t)0x1d50, (q15_t)0x8367,
+  (q15_t)0x1d49, (q15_t)0x8366, (q15_t)0x1d43, (q15_t)0x8364, (q15_t)0x1d3d, (q15_t)0x8363, (q15_t)0x1d37, (q15_t)0x8362,
+  (q15_t)0x1d31, (q15_t)0x8360, (q15_t)0x1d2b, (q15_t)0x835f, (q15_t)0x1d25, (q15_t)0x835d, (q15_t)0x1d1f, (q15_t)0x835c,
+  (q15_t)0x1d18, (q15_t)0x835a, (q15_t)0x1d12, (q15_t)0x8359, (q15_t)0x1d0c, (q15_t)0x8358, (q15_t)0x1d06, (q15_t)0x8356,
+  (q15_t)0x1d00, (q15_t)0x8355, (q15_t)0x1cfa, (q15_t)0x8353, (q15_t)0x1cf4, (q15_t)0x8352, (q15_t)0x1cee, (q15_t)0x8350,
+  (q15_t)0x1ce8, (q15_t)0x834f, (q15_t)0x1ce1, (q15_t)0x834e, (q15_t)0x1cdb, (q15_t)0x834c, (q15_t)0x1cd5, (q15_t)0x834b,
+  (q15_t)0x1ccf, (q15_t)0x8349, (q15_t)0x1cc9, (q15_t)0x8348, (q15_t)0x1cc3, (q15_t)0x8347, (q15_t)0x1cbd, (q15_t)0x8345,
+  (q15_t)0x1cb7, (q15_t)0x8344, (q15_t)0x1cb0, (q15_t)0x8342, (q15_t)0x1caa, (q15_t)0x8341, (q15_t)0x1ca4, (q15_t)0x833f,
+  (q15_t)0x1c9e, (q15_t)0x833e, (q15_t)0x1c98, (q15_t)0x833d, (q15_t)0x1c92, (q15_t)0x833b, (q15_t)0x1c8c, (q15_t)0x833a,
+  (q15_t)0x1c86, (q15_t)0x8338, (q15_t)0x1c7f, (q15_t)0x8337, (q15_t)0x1c79, (q15_t)0x8336, (q15_t)0x1c73, (q15_t)0x8334,
+  (q15_t)0x1c6d, (q15_t)0x8333, (q15_t)0x1c67, (q15_t)0x8331, (q15_t)0x1c61, (q15_t)0x8330, (q15_t)0x1c5b, (q15_t)0x832f,
+  (q15_t)0x1c55, (q15_t)0x832d, (q15_t)0x1c4e, (q15_t)0x832c, (q15_t)0x1c48, (q15_t)0x832b, (q15_t)0x1c42, (q15_t)0x8329,
+  (q15_t)0x1c3c, (q15_t)0x8328, (q15_t)0x1c36, (q15_t)0x8326, (q15_t)0x1c30, (q15_t)0x8325, (q15_t)0x1c2a, (q15_t)0x8324,
+  (q15_t)0x1c24, (q15_t)0x8322, (q15_t)0x1c1d, (q15_t)0x8321, (q15_t)0x1c17, (q15_t)0x831f, (q15_t)0x1c11, (q15_t)0x831e,
+  (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1c05, (q15_t)0x831b, (q15_t)0x1bff, (q15_t)0x831a, (q15_t)0x1bf9, (q15_t)0x8319,
+  (q15_t)0x1bf2, (q15_t)0x8317, (q15_t)0x1bec, (q15_t)0x8316, (q15_t)0x1be6, (q15_t)0x8314, (q15_t)0x1be0, (q15_t)0x8313,
+  (q15_t)0x1bda, (q15_t)0x8312, (q15_t)0x1bd4, (q15_t)0x8310, (q15_t)0x1bce, (q15_t)0x830f, (q15_t)0x1bc8, (q15_t)0x830e,
+  (q15_t)0x1bc1, (q15_t)0x830c, (q15_t)0x1bbb, (q15_t)0x830b, (q15_t)0x1bb5, (q15_t)0x830a, (q15_t)0x1baf, (q15_t)0x8308,
+  (q15_t)0x1ba9, (q15_t)0x8307, (q15_t)0x1ba3, (q15_t)0x8305, (q15_t)0x1b9d, (q15_t)0x8304, (q15_t)0x1b96, (q15_t)0x8303,
+  (q15_t)0x1b90, (q15_t)0x8301, (q15_t)0x1b8a, (q15_t)0x8300, (q15_t)0x1b84, (q15_t)0x82ff, (q15_t)0x1b7e, (q15_t)0x82fd,
+  (q15_t)0x1b78, (q15_t)0x82fc, (q15_t)0x1b72, (q15_t)0x82fb, (q15_t)0x1b6c, (q15_t)0x82f9, (q15_t)0x1b65, (q15_t)0x82f8,
+  (q15_t)0x1b5f, (q15_t)0x82f7, (q15_t)0x1b59, (q15_t)0x82f5, (q15_t)0x1b53, (q15_t)0x82f4, (q15_t)0x1b4d, (q15_t)0x82f3,
+  (q15_t)0x1b47, (q15_t)0x82f1, (q15_t)0x1b41, (q15_t)0x82f0, (q15_t)0x1b3a, (q15_t)0x82ef, (q15_t)0x1b34, (q15_t)0x82ed,
+  (q15_t)0x1b2e, (q15_t)0x82ec, (q15_t)0x1b28, (q15_t)0x82eb, (q15_t)0x1b22, (q15_t)0x82e9, (q15_t)0x1b1c, (q15_t)0x82e8,
+  (q15_t)0x1b16, (q15_t)0x82e7, (q15_t)0x1b0f, (q15_t)0x82e5, (q15_t)0x1b09, (q15_t)0x82e4, (q15_t)0x1b03, (q15_t)0x82e3,
+  (q15_t)0x1afd, (q15_t)0x82e1, (q15_t)0x1af7, (q15_t)0x82e0, (q15_t)0x1af1, (q15_t)0x82df, (q15_t)0x1aeb, (q15_t)0x82dd,
+  (q15_t)0x1ae4, (q15_t)0x82dc, (q15_t)0x1ade, (q15_t)0x82db, (q15_t)0x1ad8, (q15_t)0x82d9, (q15_t)0x1ad2, (q15_t)0x82d8,
+  (q15_t)0x1acc, (q15_t)0x82d7, (q15_t)0x1ac6, (q15_t)0x82d5, (q15_t)0x1ac0, (q15_t)0x82d4, (q15_t)0x1ab9, (q15_t)0x82d3,
+  (q15_t)0x1ab3, (q15_t)0x82d1, (q15_t)0x1aad, (q15_t)0x82d0, (q15_t)0x1aa7, (q15_t)0x82cf, (q15_t)0x1aa1, (q15_t)0x82ce,
+  (q15_t)0x1a9b, (q15_t)0x82cc, (q15_t)0x1a95, (q15_t)0x82cb, (q15_t)0x1a8e, (q15_t)0x82ca, (q15_t)0x1a88, (q15_t)0x82c8,
+  (q15_t)0x1a82, (q15_t)0x82c7, (q15_t)0x1a7c, (q15_t)0x82c6, (q15_t)0x1a76, (q15_t)0x82c4, (q15_t)0x1a70, (q15_t)0x82c3,
+  (q15_t)0x1a6a, (q15_t)0x82c2, (q15_t)0x1a63, (q15_t)0x82c1, (q15_t)0x1a5d, (q15_t)0x82bf, (q15_t)0x1a57, (q15_t)0x82be,
+  (q15_t)0x1a51, (q15_t)0x82bd, (q15_t)0x1a4b, (q15_t)0x82bb, (q15_t)0x1a45, (q15_t)0x82ba, (q15_t)0x1a3e, (q15_t)0x82b9,
+  (q15_t)0x1a38, (q15_t)0x82b7, (q15_t)0x1a32, (q15_t)0x82b6, (q15_t)0x1a2c, (q15_t)0x82b5, (q15_t)0x1a26, (q15_t)0x82b4,
+  (q15_t)0x1a20, (q15_t)0x82b2, (q15_t)0x1a1a, (q15_t)0x82b1, (q15_t)0x1a13, (q15_t)0x82b0, (q15_t)0x1a0d, (q15_t)0x82ae,
+  (q15_t)0x1a07, (q15_t)0x82ad, (q15_t)0x1a01, (q15_t)0x82ac, (q15_t)0x19fb, (q15_t)0x82ab, (q15_t)0x19f5, (q15_t)0x82a9,
+  (q15_t)0x19ef, (q15_t)0x82a8, (q15_t)0x19e8, (q15_t)0x82a7, (q15_t)0x19e2, (q15_t)0x82a6, (q15_t)0x19dc, (q15_t)0x82a4,
+  (q15_t)0x19d6, (q15_t)0x82a3, (q15_t)0x19d0, (q15_t)0x82a2, (q15_t)0x19ca, (q15_t)0x82a0, (q15_t)0x19c3, (q15_t)0x829f,
+  (q15_t)0x19bd, (q15_t)0x829e, (q15_t)0x19b7, (q15_t)0x829d, (q15_t)0x19b1, (q15_t)0x829b, (q15_t)0x19ab, (q15_t)0x829a,
+  (q15_t)0x19a5, (q15_t)0x8299, (q15_t)0x199f, (q15_t)0x8298, (q15_t)0x1998, (q15_t)0x8296, (q15_t)0x1992, (q15_t)0x8295,
+  (q15_t)0x198c, (q15_t)0x8294, (q15_t)0x1986, (q15_t)0x8293, (q15_t)0x1980, (q15_t)0x8291, (q15_t)0x197a, (q15_t)0x8290,
+  (q15_t)0x1973, (q15_t)0x828f, (q15_t)0x196d, (q15_t)0x828e, (q15_t)0x1967, (q15_t)0x828c, (q15_t)0x1961, (q15_t)0x828b,
+  (q15_t)0x195b, (q15_t)0x828a, (q15_t)0x1955, (q15_t)0x8289, (q15_t)0x194e, (q15_t)0x8287, (q15_t)0x1948, (q15_t)0x8286,
+  (q15_t)0x1942, (q15_t)0x8285, (q15_t)0x193c, (q15_t)0x8284, (q15_t)0x1936, (q15_t)0x8282, (q15_t)0x1930, (q15_t)0x8281,
+  (q15_t)0x192a, (q15_t)0x8280, (q15_t)0x1923, (q15_t)0x827f, (q15_t)0x191d, (q15_t)0x827e, (q15_t)0x1917, (q15_t)0x827c,
+  (q15_t)0x1911, (q15_t)0x827b, (q15_t)0x190b, (q15_t)0x827a, (q15_t)0x1905, (q15_t)0x8279, (q15_t)0x18fe, (q15_t)0x8277,
+  (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x18f2, (q15_t)0x8275, (q15_t)0x18ec, (q15_t)0x8274, (q15_t)0x18e6, (q15_t)0x8272,
+  (q15_t)0x18e0, (q15_t)0x8271, (q15_t)0x18d9, (q15_t)0x8270, (q15_t)0x18d3, (q15_t)0x826f, (q15_t)0x18cd, (q15_t)0x826e,
+  (q15_t)0x18c7, (q15_t)0x826c, (q15_t)0x18c1, (q15_t)0x826b, (q15_t)0x18bb, (q15_t)0x826a, (q15_t)0x18b4, (q15_t)0x8269,
+  (q15_t)0x18ae, (q15_t)0x8268, (q15_t)0x18a8, (q15_t)0x8266, (q15_t)0x18a2, (q15_t)0x8265, (q15_t)0x189c, (q15_t)0x8264,
+  (q15_t)0x1896, (q15_t)0x8263, (q15_t)0x188f, (q15_t)0x8261, (q15_t)0x1889, (q15_t)0x8260, (q15_t)0x1883, (q15_t)0x825f,
+  (q15_t)0x187d, (q15_t)0x825e, (q15_t)0x1877, (q15_t)0x825d, (q15_t)0x1871, (q15_t)0x825b, (q15_t)0x186a, (q15_t)0x825a,
+  (q15_t)0x1864, (q15_t)0x8259, (q15_t)0x185e, (q15_t)0x8258, (q15_t)0x1858, (q15_t)0x8257, (q15_t)0x1852, (q15_t)0x8255,
+  (q15_t)0x184c, (q15_t)0x8254, (q15_t)0x1845, (q15_t)0x8253, (q15_t)0x183f, (q15_t)0x8252, (q15_t)0x1839, (q15_t)0x8251,
+  (q15_t)0x1833, (q15_t)0x8250, (q15_t)0x182d, (q15_t)0x824e, (q15_t)0x1827, (q15_t)0x824d, (q15_t)0x1820, (q15_t)0x824c,
+  (q15_t)0x181a, (q15_t)0x824b, (q15_t)0x1814, (q15_t)0x824a, (q15_t)0x180e, (q15_t)0x8248, (q15_t)0x1808, (q15_t)0x8247,
+  (q15_t)0x1802, (q15_t)0x8246, (q15_t)0x17fb, (q15_t)0x8245, (q15_t)0x17f5, (q15_t)0x8244, (q15_t)0x17ef, (q15_t)0x8243,
+  (q15_t)0x17e9, (q15_t)0x8241, (q15_t)0x17e3, (q15_t)0x8240, (q15_t)0x17dd, (q15_t)0x823f, (q15_t)0x17d6, (q15_t)0x823e,
+  (q15_t)0x17d0, (q15_t)0x823d, (q15_t)0x17ca, (q15_t)0x823b, (q15_t)0x17c4, (q15_t)0x823a, (q15_t)0x17be, (q15_t)0x8239,
+  (q15_t)0x17b7, (q15_t)0x8238, (q15_t)0x17b1, (q15_t)0x8237, (q15_t)0x17ab, (q15_t)0x8236, (q15_t)0x17a5, (q15_t)0x8234,
+  (q15_t)0x179f, (q15_t)0x8233, (q15_t)0x1799, (q15_t)0x8232, (q15_t)0x1792, (q15_t)0x8231, (q15_t)0x178c, (q15_t)0x8230,
+  (q15_t)0x1786, (q15_t)0x822f, (q15_t)0x1780, (q15_t)0x822e, (q15_t)0x177a, (q15_t)0x822c, (q15_t)0x1774, (q15_t)0x822b,
+  (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x1767, (q15_t)0x8229, (q15_t)0x1761, (q15_t)0x8228, (q15_t)0x175b, (q15_t)0x8227,
+  (q15_t)0x1755, (q15_t)0x8226, (q15_t)0x174e, (q15_t)0x8224, (q15_t)0x1748, (q15_t)0x8223, (q15_t)0x1742, (q15_t)0x8222,
+  (q15_t)0x173c, (q15_t)0x8221, (q15_t)0x1736, (q15_t)0x8220, (q15_t)0x1730, (q15_t)0x821f, (q15_t)0x1729, (q15_t)0x821e,
+  (q15_t)0x1723, (q15_t)0x821c, (q15_t)0x171d, (q15_t)0x821b, (q15_t)0x1717, (q15_t)0x821a, (q15_t)0x1711, (q15_t)0x8219,
+  (q15_t)0x170a, (q15_t)0x8218, (q15_t)0x1704, (q15_t)0x8217, (q15_t)0x16fe, (q15_t)0x8216, (q15_t)0x16f8, (q15_t)0x8214,
+  (q15_t)0x16f2, (q15_t)0x8213, (q15_t)0x16ec, (q15_t)0x8212, (q15_t)0x16e5, (q15_t)0x8211, (q15_t)0x16df, (q15_t)0x8210,
+  (q15_t)0x16d9, (q15_t)0x820f, (q15_t)0x16d3, (q15_t)0x820e, (q15_t)0x16cd, (q15_t)0x820d, (q15_t)0x16c6, (q15_t)0x820b,
+  (q15_t)0x16c0, (q15_t)0x820a, (q15_t)0x16ba, (q15_t)0x8209, (q15_t)0x16b4, (q15_t)0x8208, (q15_t)0x16ae, (q15_t)0x8207,
+  (q15_t)0x16a8, (q15_t)0x8206, (q15_t)0x16a1, (q15_t)0x8205, (q15_t)0x169b, (q15_t)0x8204, (q15_t)0x1695, (q15_t)0x8203,
+  (q15_t)0x168f, (q15_t)0x8201, (q15_t)0x1689, (q15_t)0x8200, (q15_t)0x1682, (q15_t)0x81ff, (q15_t)0x167c, (q15_t)0x81fe,
+  (q15_t)0x1676, (q15_t)0x81fd, (q15_t)0x1670, (q15_t)0x81fc, (q15_t)0x166a, (q15_t)0x81fb, (q15_t)0x1664, (q15_t)0x81fa,
+  (q15_t)0x165d, (q15_t)0x81f9, (q15_t)0x1657, (q15_t)0x81f8, (q15_t)0x1651, (q15_t)0x81f6, (q15_t)0x164b, (q15_t)0x81f5,
+  (q15_t)0x1645, (q15_t)0x81f4, (q15_t)0x163e, (q15_t)0x81f3, (q15_t)0x1638, (q15_t)0x81f2, (q15_t)0x1632, (q15_t)0x81f1,
+  (q15_t)0x162c, (q15_t)0x81f0, (q15_t)0x1626, (q15_t)0x81ef, (q15_t)0x161f, (q15_t)0x81ee, (q15_t)0x1619, (q15_t)0x81ed,
+  (q15_t)0x1613, (q15_t)0x81ec, (q15_t)0x160d, (q15_t)0x81ea, (q15_t)0x1607, (q15_t)0x81e9, (q15_t)0x1601, (q15_t)0x81e8,
+  (q15_t)0x15fa, (q15_t)0x81e7, (q15_t)0x15f4, (q15_t)0x81e6, (q15_t)0x15ee, (q15_t)0x81e5, (q15_t)0x15e8, (q15_t)0x81e4,
+  (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x15db, (q15_t)0x81e2, (q15_t)0x15d5, (q15_t)0x81e1, (q15_t)0x15cf, (q15_t)0x81e0,
+  (q15_t)0x15c9, (q15_t)0x81df, (q15_t)0x15c3, (q15_t)0x81de, (q15_t)0x15bc, (q15_t)0x81dc, (q15_t)0x15b6, (q15_t)0x81db,
+  (q15_t)0x15b0, (q15_t)0x81da, (q15_t)0x15aa, (q15_t)0x81d9, (q15_t)0x15a4, (q15_t)0x81d8, (q15_t)0x159d, (q15_t)0x81d7,
+  (q15_t)0x1597, (q15_t)0x81d6, (q15_t)0x1591, (q15_t)0x81d5, (q15_t)0x158b, (q15_t)0x81d4, (q15_t)0x1585, (q15_t)0x81d3,
+  (q15_t)0x157f, (q15_t)0x81d2, (q15_t)0x1578, (q15_t)0x81d1, (q15_t)0x1572, (q15_t)0x81d0, (q15_t)0x156c, (q15_t)0x81cf,
+  (q15_t)0x1566, (q15_t)0x81ce, (q15_t)0x1560, (q15_t)0x81cd, (q15_t)0x1559, (q15_t)0x81cc, (q15_t)0x1553, (q15_t)0x81cb,
+  (q15_t)0x154d, (q15_t)0x81c9, (q15_t)0x1547, (q15_t)0x81c8, (q15_t)0x1541, (q15_t)0x81c7, (q15_t)0x153a, (q15_t)0x81c6,
+  (q15_t)0x1534, (q15_t)0x81c5, (q15_t)0x152e, (q15_t)0x81c4, (q15_t)0x1528, (q15_t)0x81c3, (q15_t)0x1522, (q15_t)0x81c2,
+  (q15_t)0x151b, (q15_t)0x81c1, (q15_t)0x1515, (q15_t)0x81c0, (q15_t)0x150f, (q15_t)0x81bf, (q15_t)0x1509, (q15_t)0x81be,
+  (q15_t)0x1503, (q15_t)0x81bd, (q15_t)0x14fc, (q15_t)0x81bc, (q15_t)0x14f6, (q15_t)0x81bb, (q15_t)0x14f0, (q15_t)0x81ba,
+  (q15_t)0x14ea, (q15_t)0x81b9, (q15_t)0x14e4, (q15_t)0x81b8, (q15_t)0x14dd, (q15_t)0x81b7, (q15_t)0x14d7, (q15_t)0x81b6,
+  (q15_t)0x14d1, (q15_t)0x81b5, (q15_t)0x14cb, (q15_t)0x81b4, (q15_t)0x14c5, (q15_t)0x81b3, (q15_t)0x14be, (q15_t)0x81b2,
+  (q15_t)0x14b8, (q15_t)0x81b1, (q15_t)0x14b2, (q15_t)0x81b0, (q15_t)0x14ac, (q15_t)0x81af, (q15_t)0x14a6, (q15_t)0x81ae,
+  (q15_t)0x149f, (q15_t)0x81ad, (q15_t)0x1499, (q15_t)0x81ac, (q15_t)0x1493, (q15_t)0x81ab, (q15_t)0x148d, (q15_t)0x81aa,
+  (q15_t)0x1487, (q15_t)0x81a9, (q15_t)0x1480, (q15_t)0x81a8, (q15_t)0x147a, (q15_t)0x81a7, (q15_t)0x1474, (q15_t)0x81a6,
+  (q15_t)0x146e, (q15_t)0x81a5, (q15_t)0x1468, (q15_t)0x81a4, (q15_t)0x1461, (q15_t)0x81a3, (q15_t)0x145b, (q15_t)0x81a2,
+  (q15_t)0x1455, (q15_t)0x81a1, (q15_t)0x144f, (q15_t)0x81a0, (q15_t)0x1449, (q15_t)0x819f, (q15_t)0x1442, (q15_t)0x819e,
+  (q15_t)0x143c, (q15_t)0x819d, (q15_t)0x1436, (q15_t)0x819c, (q15_t)0x1430, (q15_t)0x819b, (q15_t)0x142a, (q15_t)0x819a,
+  (q15_t)0x1423, (q15_t)0x8199, (q15_t)0x141d, (q15_t)0x8198, (q15_t)0x1417, (q15_t)0x8197, (q15_t)0x1411, (q15_t)0x8196,
+  (q15_t)0x140b, (q15_t)0x8195, (q15_t)0x1404, (q15_t)0x8194, (q15_t)0x13fe, (q15_t)0x8193, (q15_t)0x13f8, (q15_t)0x8192,
+  (q15_t)0x13f2, (q15_t)0x8191, (q15_t)0x13eb, (q15_t)0x8190, (q15_t)0x13e5, (q15_t)0x818f, (q15_t)0x13df, (q15_t)0x818e,
+  (q15_t)0x13d9, (q15_t)0x818d, (q15_t)0x13d3, (q15_t)0x818c, (q15_t)0x13cc, (q15_t)0x818b, (q15_t)0x13c6, (q15_t)0x818a,
+  (q15_t)0x13c0, (q15_t)0x8189, (q15_t)0x13ba, (q15_t)0x8188, (q15_t)0x13b4, (q15_t)0x8187, (q15_t)0x13ad, (q15_t)0x8186,
+  (q15_t)0x13a7, (q15_t)0x8185, (q15_t)0x13a1, (q15_t)0x8184, (q15_t)0x139b, (q15_t)0x8183, (q15_t)0x1395, (q15_t)0x8182,
+  (q15_t)0x138e, (q15_t)0x8181, (q15_t)0x1388, (q15_t)0x8180, (q15_t)0x1382, (q15_t)0x817f, (q15_t)0x137c, (q15_t)0x817e,
+  (q15_t)0x1376, (q15_t)0x817d, (q15_t)0x136f, (q15_t)0x817c, (q15_t)0x1369, (q15_t)0x817c, (q15_t)0x1363, (q15_t)0x817b,
+  (q15_t)0x135d, (q15_t)0x817a, (q15_t)0x1356, (q15_t)0x8179, (q15_t)0x1350, (q15_t)0x8178, (q15_t)0x134a, (q15_t)0x8177,
+  (q15_t)0x1344, (q15_t)0x8176, (q15_t)0x133e, (q15_t)0x8175, (q15_t)0x1337, (q15_t)0x8174, (q15_t)0x1331, (q15_t)0x8173,
+  (q15_t)0x132b, (q15_t)0x8172, (q15_t)0x1325, (q15_t)0x8171, (q15_t)0x131f, (q15_t)0x8170, (q15_t)0x1318, (q15_t)0x816f,
+  (q15_t)0x1312, (q15_t)0x816e, (q15_t)0x130c, (q15_t)0x816d, (q15_t)0x1306, (q15_t)0x816c, (q15_t)0x12ff, (q15_t)0x816c,
+  (q15_t)0x12f9, (q15_t)0x816b, (q15_t)0x12f3, (q15_t)0x816a, (q15_t)0x12ed, (q15_t)0x8169, (q15_t)0x12e7, (q15_t)0x8168,
+  (q15_t)0x12e0, (q15_t)0x8167, (q15_t)0x12da, (q15_t)0x8166, (q15_t)0x12d4, (q15_t)0x8165, (q15_t)0x12ce, (q15_t)0x8164,
+  (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x12c1, (q15_t)0x8162, (q15_t)0x12bb, (q15_t)0x8161, (q15_t)0x12b5, (q15_t)0x8160,
+  (q15_t)0x12af, (q15_t)0x815f, (q15_t)0x12a8, (q15_t)0x815f, (q15_t)0x12a2, (q15_t)0x815e, (q15_t)0x129c, (q15_t)0x815d,
+  (q15_t)0x1296, (q15_t)0x815c, (q15_t)0x1290, (q15_t)0x815b, (q15_t)0x1289, (q15_t)0x815a, (q15_t)0x1283, (q15_t)0x8159,
+  (q15_t)0x127d, (q15_t)0x8158, (q15_t)0x1277, (q15_t)0x8157, (q15_t)0x1271, (q15_t)0x8156, (q15_t)0x126a, (q15_t)0x8155,
+  (q15_t)0x1264, (q15_t)0x8155, (q15_t)0x125e, (q15_t)0x8154, (q15_t)0x1258, (q15_t)0x8153, (q15_t)0x1251, (q15_t)0x8152,
+  (q15_t)0x124b, (q15_t)0x8151, (q15_t)0x1245, (q15_t)0x8150, (q15_t)0x123f, (q15_t)0x814f, (q15_t)0x1239, (q15_t)0x814e,
+  (q15_t)0x1232, (q15_t)0x814d, (q15_t)0x122c, (q15_t)0x814c, (q15_t)0x1226, (q15_t)0x814c, (q15_t)0x1220, (q15_t)0x814b,
+  (q15_t)0x1219, (q15_t)0x814a, (q15_t)0x1213, (q15_t)0x8149, (q15_t)0x120d, (q15_t)0x8148, (q15_t)0x1207, (q15_t)0x8147,
+  (q15_t)0x1201, (q15_t)0x8146, (q15_t)0x11fa, (q15_t)0x8145, (q15_t)0x11f4, (q15_t)0x8145, (q15_t)0x11ee, (q15_t)0x8144,
+  (q15_t)0x11e8, (q15_t)0x8143, (q15_t)0x11e1, (q15_t)0x8142, (q15_t)0x11db, (q15_t)0x8141, (q15_t)0x11d5, (q15_t)0x8140,
+  (q15_t)0x11cf, (q15_t)0x813f, (q15_t)0x11c9, (q15_t)0x813e, (q15_t)0x11c2, (q15_t)0x813d, (q15_t)0x11bc, (q15_t)0x813d,
+  (q15_t)0x11b6, (q15_t)0x813c, (q15_t)0x11b0, (q15_t)0x813b, (q15_t)0x11a9, (q15_t)0x813a, (q15_t)0x11a3, (q15_t)0x8139,
+  (q15_t)0x119d, (q15_t)0x8138, (q15_t)0x1197, (q15_t)0x8137, (q15_t)0x1191, (q15_t)0x8137, (q15_t)0x118a, (q15_t)0x8136,
+  (q15_t)0x1184, (q15_t)0x8135, (q15_t)0x117e, (q15_t)0x8134, (q15_t)0x1178, (q15_t)0x8133, (q15_t)0x1171, (q15_t)0x8132,
+  (q15_t)0x116b, (q15_t)0x8131, (q15_t)0x1165, (q15_t)0x8131, (q15_t)0x115f, (q15_t)0x8130, (q15_t)0x1159, (q15_t)0x812f,
+  (q15_t)0x1152, (q15_t)0x812e, (q15_t)0x114c, (q15_t)0x812d, (q15_t)0x1146, (q15_t)0x812c, (q15_t)0x1140, (q15_t)0x812b,
+  (q15_t)0x1139, (q15_t)0x812b, (q15_t)0x1133, (q15_t)0x812a, (q15_t)0x112d, (q15_t)0x8129, (q15_t)0x1127, (q15_t)0x8128,
+  (q15_t)0x1121, (q15_t)0x8127, (q15_t)0x111a, (q15_t)0x8126, (q15_t)0x1114, (q15_t)0x8126, (q15_t)0x110e, (q15_t)0x8125,
+  (q15_t)0x1108, (q15_t)0x8124, (q15_t)0x1101, (q15_t)0x8123, (q15_t)0x10fb, (q15_t)0x8122, (q15_t)0x10f5, (q15_t)0x8121,
+  (q15_t)0x10ef, (q15_t)0x8121, (q15_t)0x10e8, (q15_t)0x8120, (q15_t)0x10e2, (q15_t)0x811f, (q15_t)0x10dc, (q15_t)0x811e,
+  (q15_t)0x10d6, (q15_t)0x811d, (q15_t)0x10d0, (q15_t)0x811c, (q15_t)0x10c9, (q15_t)0x811c, (q15_t)0x10c3, (q15_t)0x811b,
+  (q15_t)0x10bd, (q15_t)0x811a, (q15_t)0x10b7, (q15_t)0x8119, (q15_t)0x10b0, (q15_t)0x8118, (q15_t)0x10aa, (q15_t)0x8117,
+  (q15_t)0x10a4, (q15_t)0x8117, (q15_t)0x109e, (q15_t)0x8116, (q15_t)0x1098, (q15_t)0x8115, (q15_t)0x1091, (q15_t)0x8114,
+  (q15_t)0x108b, (q15_t)0x8113, (q15_t)0x1085, (q15_t)0x8113, (q15_t)0x107f, (q15_t)0x8112, (q15_t)0x1078, (q15_t)0x8111,
+  (q15_t)0x1072, (q15_t)0x8110, (q15_t)0x106c, (q15_t)0x810f, (q15_t)0x1066, (q15_t)0x810f, (q15_t)0x105f, (q15_t)0x810e,
+  (q15_t)0x1059, (q15_t)0x810d, (q15_t)0x1053, (q15_t)0x810c, (q15_t)0x104d, (q15_t)0x810b, (q15_t)0x1047, (q15_t)0x810b,
+  (q15_t)0x1040, (q15_t)0x810a, (q15_t)0x103a, (q15_t)0x8109, (q15_t)0x1034, (q15_t)0x8108, (q15_t)0x102e, (q15_t)0x8107,
+  (q15_t)0x1027, (q15_t)0x8107, (q15_t)0x1021, (q15_t)0x8106, (q15_t)0x101b, (q15_t)0x8105, (q15_t)0x1015, (q15_t)0x8104,
+  (q15_t)0x100e, (q15_t)0x8103, (q15_t)0x1008, (q15_t)0x8103, (q15_t)0x1002, (q15_t)0x8102, (q15_t)0xffc, (q15_t)0x8101,
+  (q15_t)0xff5, (q15_t)0x8100, (q15_t)0xfef, (q15_t)0x80ff, (q15_t)0xfe9, (q15_t)0x80ff, (q15_t)0xfe3, (q15_t)0x80fe,
+  (q15_t)0xfdd, (q15_t)0x80fd, (q15_t)0xfd6, (q15_t)0x80fc, (q15_t)0xfd0, (q15_t)0x80fc, (q15_t)0xfca, (q15_t)0x80fb,
+  (q15_t)0xfc4, (q15_t)0x80fa, (q15_t)0xfbd, (q15_t)0x80f9, (q15_t)0xfb7, (q15_t)0x80f8, (q15_t)0xfb1, (q15_t)0x80f8,
+  (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xfa4, (q15_t)0x80f6, (q15_t)0xf9e, (q15_t)0x80f5, (q15_t)0xf98, (q15_t)0x80f5,
+  (q15_t)0xf92, (q15_t)0x80f4, (q15_t)0xf8b, (q15_t)0x80f3, (q15_t)0xf85, (q15_t)0x80f2, (q15_t)0xf7f, (q15_t)0x80f2,
+  (q15_t)0xf79, (q15_t)0x80f1, (q15_t)0xf73, (q15_t)0x80f0, (q15_t)0xf6c, (q15_t)0x80ef, (q15_t)0xf66, (q15_t)0x80ef,
+  (q15_t)0xf60, (q15_t)0x80ee, (q15_t)0xf5a, (q15_t)0x80ed, (q15_t)0xf53, (q15_t)0x80ec, (q15_t)0xf4d, (q15_t)0x80ec,
+  (q15_t)0xf47, (q15_t)0x80eb, (q15_t)0xf41, (q15_t)0x80ea, (q15_t)0xf3a, (q15_t)0x80e9, (q15_t)0xf34, (q15_t)0x80e9,
+  (q15_t)0xf2e, (q15_t)0x80e8, (q15_t)0xf28, (q15_t)0x80e7, (q15_t)0xf21, (q15_t)0x80e6, (q15_t)0xf1b, (q15_t)0x80e6,
+  (q15_t)0xf15, (q15_t)0x80e5, (q15_t)0xf0f, (q15_t)0x80e4, (q15_t)0xf08, (q15_t)0x80e3, (q15_t)0xf02, (q15_t)0x80e3,
+  (q15_t)0xefc, (q15_t)0x80e2, (q15_t)0xef6, (q15_t)0x80e1, (q15_t)0xef0, (q15_t)0x80e0, (q15_t)0xee9, (q15_t)0x80e0,
+  (q15_t)0xee3, (q15_t)0x80df, (q15_t)0xedd, (q15_t)0x80de, (q15_t)0xed7, (q15_t)0x80dd, (q15_t)0xed0, (q15_t)0x80dd,
+  (q15_t)0xeca, (q15_t)0x80dc, (q15_t)0xec4, (q15_t)0x80db, (q15_t)0xebe, (q15_t)0x80db, (q15_t)0xeb7, (q15_t)0x80da,
+  (q15_t)0xeb1, (q15_t)0x80d9, (q15_t)0xeab, (q15_t)0x80d8, (q15_t)0xea5, (q15_t)0x80d8, (q15_t)0xe9e, (q15_t)0x80d7,
+  (q15_t)0xe98, (q15_t)0x80d6, (q15_t)0xe92, (q15_t)0x80d6, (q15_t)0xe8c, (q15_t)0x80d5, (q15_t)0xe85, (q15_t)0x80d4,
+  (q15_t)0xe7f, (q15_t)0x80d3, (q15_t)0xe79, (q15_t)0x80d3, (q15_t)0xe73, (q15_t)0x80d2, (q15_t)0xe6c, (q15_t)0x80d1,
+  (q15_t)0xe66, (q15_t)0x80d1, (q15_t)0xe60, (q15_t)0x80d0, (q15_t)0xe5a, (q15_t)0x80cf, (q15_t)0xe53, (q15_t)0x80ce,
+  (q15_t)0xe4d, (q15_t)0x80ce, (q15_t)0xe47, (q15_t)0x80cd, (q15_t)0xe41, (q15_t)0x80cc, (q15_t)0xe3a, (q15_t)0x80cc,
+  (q15_t)0xe34, (q15_t)0x80cb, (q15_t)0xe2e, (q15_t)0x80ca, (q15_t)0xe28, (q15_t)0x80ca, (q15_t)0xe22, (q15_t)0x80c9,
+  (q15_t)0xe1b, (q15_t)0x80c8, (q15_t)0xe15, (q15_t)0x80c7, (q15_t)0xe0f, (q15_t)0x80c7, (q15_t)0xe09, (q15_t)0x80c6,
+  (q15_t)0xe02, (q15_t)0x80c5, (q15_t)0xdfc, (q15_t)0x80c5, (q15_t)0xdf6, (q15_t)0x80c4, (q15_t)0xdf0, (q15_t)0x80c3,
+  (q15_t)0xde9, (q15_t)0x80c3, (q15_t)0xde3, (q15_t)0x80c2, (q15_t)0xddd, (q15_t)0x80c1, (q15_t)0xdd7, (q15_t)0x80c1,
+  (q15_t)0xdd0, (q15_t)0x80c0, (q15_t)0xdca, (q15_t)0x80bf, (q15_t)0xdc4, (q15_t)0x80bf, (q15_t)0xdbe, (q15_t)0x80be,
+  (q15_t)0xdb7, (q15_t)0x80bd, (q15_t)0xdb1, (q15_t)0x80bd, (q15_t)0xdab, (q15_t)0x80bc, (q15_t)0xda5, (q15_t)0x80bb,
+  (q15_t)0xd9e, (q15_t)0x80bb, (q15_t)0xd98, (q15_t)0x80ba, (q15_t)0xd92, (q15_t)0x80b9, (q15_t)0xd8c, (q15_t)0x80b9,
+  (q15_t)0xd85, (q15_t)0x80b8, (q15_t)0xd7f, (q15_t)0x80b7, (q15_t)0xd79, (q15_t)0x80b7, (q15_t)0xd73, (q15_t)0x80b6,
+  (q15_t)0xd6c, (q15_t)0x80b5, (q15_t)0xd66, (q15_t)0x80b5, (q15_t)0xd60, (q15_t)0x80b4, (q15_t)0xd5a, (q15_t)0x80b3,
+  (q15_t)0xd53, (q15_t)0x80b3, (q15_t)0xd4d, (q15_t)0x80b2, (q15_t)0xd47, (q15_t)0x80b1, (q15_t)0xd41, (q15_t)0x80b1,
+  (q15_t)0xd3a, (q15_t)0x80b0, (q15_t)0xd34, (q15_t)0x80af, (q15_t)0xd2e, (q15_t)0x80af, (q15_t)0xd28, (q15_t)0x80ae,
+  (q15_t)0xd21, (q15_t)0x80ad, (q15_t)0xd1b, (q15_t)0x80ad, (q15_t)0xd15, (q15_t)0x80ac, (q15_t)0xd0f, (q15_t)0x80ab,
+  (q15_t)0xd08, (q15_t)0x80ab, (q15_t)0xd02, (q15_t)0x80aa, (q15_t)0xcfc, (q15_t)0x80aa, (q15_t)0xcf6, (q15_t)0x80a9,
+  (q15_t)0xcef, (q15_t)0x80a8, (q15_t)0xce9, (q15_t)0x80a8, (q15_t)0xce3, (q15_t)0x80a7, (q15_t)0xcdd, (q15_t)0x80a6,
+  (q15_t)0xcd6, (q15_t)0x80a6, (q15_t)0xcd0, (q15_t)0x80a5, (q15_t)0xcca, (q15_t)0x80a5, (q15_t)0xcc4, (q15_t)0x80a4,
+  (q15_t)0xcbd, (q15_t)0x80a3, (q15_t)0xcb7, (q15_t)0x80a3, (q15_t)0xcb1, (q15_t)0x80a2, (q15_t)0xcab, (q15_t)0x80a1,
+  (q15_t)0xca4, (q15_t)0x80a1, (q15_t)0xc9e, (q15_t)0x80a0, (q15_t)0xc98, (q15_t)0x80a0, (q15_t)0xc92, (q15_t)0x809f,
+  (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xc85, (q15_t)0x809e, (q15_t)0xc7f, (q15_t)0x809d, (q15_t)0xc79, (q15_t)0x809c,
+  (q15_t)0xc72, (q15_t)0x809c, (q15_t)0xc6c, (q15_t)0x809b, (q15_t)0xc66, (q15_t)0x809b, (q15_t)0xc60, (q15_t)0x809a,
+  (q15_t)0xc59, (q15_t)0x8099, (q15_t)0xc53, (q15_t)0x8099, (q15_t)0xc4d, (q15_t)0x8098, (q15_t)0xc47, (q15_t)0x8098,
+  (q15_t)0xc40, (q15_t)0x8097, (q15_t)0xc3a, (q15_t)0x8096, (q15_t)0xc34, (q15_t)0x8096, (q15_t)0xc2e, (q15_t)0x8095,
+  (q15_t)0xc27, (q15_t)0x8095, (q15_t)0xc21, (q15_t)0x8094, (q15_t)0xc1b, (q15_t)0x8093, (q15_t)0xc14, (q15_t)0x8093,
+  (q15_t)0xc0e, (q15_t)0x8092, (q15_t)0xc08, (q15_t)0x8092, (q15_t)0xc02, (q15_t)0x8091, (q15_t)0xbfb, (q15_t)0x8090,
+  (q15_t)0xbf5, (q15_t)0x8090, (q15_t)0xbef, (q15_t)0x808f, (q15_t)0xbe9, (q15_t)0x808f, (q15_t)0xbe2, (q15_t)0x808e,
+  (q15_t)0xbdc, (q15_t)0x808e, (q15_t)0xbd6, (q15_t)0x808d, (q15_t)0xbd0, (q15_t)0x808c, (q15_t)0xbc9, (q15_t)0x808c,
+  (q15_t)0xbc3, (q15_t)0x808b, (q15_t)0xbbd, (q15_t)0x808b, (q15_t)0xbb7, (q15_t)0x808a, (q15_t)0xbb0, (q15_t)0x8089,
+  (q15_t)0xbaa, (q15_t)0x8089, (q15_t)0xba4, (q15_t)0x8088, (q15_t)0xb9e, (q15_t)0x8088, (q15_t)0xb97, (q15_t)0x8087,
+  (q15_t)0xb91, (q15_t)0x8087, (q15_t)0xb8b, (q15_t)0x8086, (q15_t)0xb85, (q15_t)0x8085, (q15_t)0xb7e, (q15_t)0x8085,
+  (q15_t)0xb78, (q15_t)0x8084, (q15_t)0xb72, (q15_t)0x8084, (q15_t)0xb6c, (q15_t)0x8083, (q15_t)0xb65, (q15_t)0x8083,
+  (q15_t)0xb5f, (q15_t)0x8082, (q15_t)0xb59, (q15_t)0x8082, (q15_t)0xb53, (q15_t)0x8081, (q15_t)0xb4c, (q15_t)0x8080,
+  (q15_t)0xb46, (q15_t)0x8080, (q15_t)0xb40, (q15_t)0x807f, (q15_t)0xb3a, (q15_t)0x807f, (q15_t)0xb33, (q15_t)0x807e,
+  (q15_t)0xb2d, (q15_t)0x807e, (q15_t)0xb27, (q15_t)0x807d, (q15_t)0xb20, (q15_t)0x807d, (q15_t)0xb1a, (q15_t)0x807c,
+  (q15_t)0xb14, (q15_t)0x807b, (q15_t)0xb0e, (q15_t)0x807b, (q15_t)0xb07, (q15_t)0x807a, (q15_t)0xb01, (q15_t)0x807a,
+  (q15_t)0xafb, (q15_t)0x8079, (q15_t)0xaf5, (q15_t)0x8079, (q15_t)0xaee, (q15_t)0x8078, (q15_t)0xae8, (q15_t)0x8078,
+  (q15_t)0xae2, (q15_t)0x8077, (q15_t)0xadc, (q15_t)0x8077, (q15_t)0xad5, (q15_t)0x8076, (q15_t)0xacf, (q15_t)0x8076,
+  (q15_t)0xac9, (q15_t)0x8075, (q15_t)0xac3, (q15_t)0x8075, (q15_t)0xabc, (q15_t)0x8074, (q15_t)0xab6, (q15_t)0x8073,
+  (q15_t)0xab0, (q15_t)0x8073, (q15_t)0xaaa, (q15_t)0x8072, (q15_t)0xaa3, (q15_t)0x8072, (q15_t)0xa9d, (q15_t)0x8071,
+  (q15_t)0xa97, (q15_t)0x8071, (q15_t)0xa90, (q15_t)0x8070, (q15_t)0xa8a, (q15_t)0x8070, (q15_t)0xa84, (q15_t)0x806f,
+  (q15_t)0xa7e, (q15_t)0x806f, (q15_t)0xa77, (q15_t)0x806e, (q15_t)0xa71, (q15_t)0x806e, (q15_t)0xa6b, (q15_t)0x806d,
+  (q15_t)0xa65, (q15_t)0x806d, (q15_t)0xa5e, (q15_t)0x806c, (q15_t)0xa58, (q15_t)0x806c, (q15_t)0xa52, (q15_t)0x806b,
+  (q15_t)0xa4c, (q15_t)0x806b, (q15_t)0xa45, (q15_t)0x806a, (q15_t)0xa3f, (q15_t)0x806a, (q15_t)0xa39, (q15_t)0x8069,
+  (q15_t)0xa33, (q15_t)0x8069, (q15_t)0xa2c, (q15_t)0x8068, (q15_t)0xa26, (q15_t)0x8068, (q15_t)0xa20, (q15_t)0x8067,
+  (q15_t)0xa19, (q15_t)0x8067, (q15_t)0xa13, (q15_t)0x8066, (q15_t)0xa0d, (q15_t)0x8066, (q15_t)0xa07, (q15_t)0x8065,
+  (q15_t)0xa00, (q15_t)0x8065, (q15_t)0x9fa, (q15_t)0x8064, (q15_t)0x9f4, (q15_t)0x8064, (q15_t)0x9ee, (q15_t)0x8063,
+  (q15_t)0x9e7, (q15_t)0x8063, (q15_t)0x9e1, (q15_t)0x8062, (q15_t)0x9db, (q15_t)0x8062, (q15_t)0x9d5, (q15_t)0x8061,
+  (q15_t)0x9ce, (q15_t)0x8061, (q15_t)0x9c8, (q15_t)0x8060, (q15_t)0x9c2, (q15_t)0x8060, (q15_t)0x9bc, (q15_t)0x805f,
+  (q15_t)0x9b5, (q15_t)0x805f, (q15_t)0x9af, (q15_t)0x805e, (q15_t)0x9a9, (q15_t)0x805e, (q15_t)0x9a2, (q15_t)0x805d,
+  (q15_t)0x99c, (q15_t)0x805d, (q15_t)0x996, (q15_t)0x805d, (q15_t)0x990, (q15_t)0x805c, (q15_t)0x989, (q15_t)0x805c,
+  (q15_t)0x983, (q15_t)0x805b, (q15_t)0x97d, (q15_t)0x805b, (q15_t)0x977, (q15_t)0x805a, (q15_t)0x970, (q15_t)0x805a,
+  (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x964, (q15_t)0x8059, (q15_t)0x95e, (q15_t)0x8058, (q15_t)0x957, (q15_t)0x8058,
+  (q15_t)0x951, (q15_t)0x8057, (q15_t)0x94b, (q15_t)0x8057, (q15_t)0x944, (q15_t)0x8057, (q15_t)0x93e, (q15_t)0x8056,
+  (q15_t)0x938, (q15_t)0x8056, (q15_t)0x932, (q15_t)0x8055, (q15_t)0x92b, (q15_t)0x8055, (q15_t)0x925, (q15_t)0x8054,
+  (q15_t)0x91f, (q15_t)0x8054, (q15_t)0x919, (q15_t)0x8053, (q15_t)0x912, (q15_t)0x8053, (q15_t)0x90c, (q15_t)0x8052,
+  (q15_t)0x906, (q15_t)0x8052, (q15_t)0x900, (q15_t)0x8052, (q15_t)0x8f9, (q15_t)0x8051, (q15_t)0x8f3, (q15_t)0x8051,
+  (q15_t)0x8ed, (q15_t)0x8050, (q15_t)0x8e6, (q15_t)0x8050, (q15_t)0x8e0, (q15_t)0x804f, (q15_t)0x8da, (q15_t)0x804f,
+  (q15_t)0x8d4, (q15_t)0x804f, (q15_t)0x8cd, (q15_t)0x804e, (q15_t)0x8c7, (q15_t)0x804e, (q15_t)0x8c1, (q15_t)0x804d,
+  (q15_t)0x8bb, (q15_t)0x804d, (q15_t)0x8b4, (q15_t)0x804c, (q15_t)0x8ae, (q15_t)0x804c, (q15_t)0x8a8, (q15_t)0x804c,
+  (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x89b, (q15_t)0x804b, (q15_t)0x895, (q15_t)0x804a, (q15_t)0x88f, (q15_t)0x804a,
+  (q15_t)0x888, (q15_t)0x8049, (q15_t)0x882, (q15_t)0x8049, (q15_t)0x87c, (q15_t)0x8049, (q15_t)0x876, (q15_t)0x8048,
+  (q15_t)0x86f, (q15_t)0x8048, (q15_t)0x869, (q15_t)0x8047, (q15_t)0x863, (q15_t)0x8047, (q15_t)0x85d, (q15_t)0x8047,
+  (q15_t)0x856, (q15_t)0x8046, (q15_t)0x850, (q15_t)0x8046, (q15_t)0x84a, (q15_t)0x8045, (q15_t)0x843, (q15_t)0x8045,
+  (q15_t)0x83d, (q15_t)0x8044, (q15_t)0x837, (q15_t)0x8044, (q15_t)0x831, (q15_t)0x8044, (q15_t)0x82a, (q15_t)0x8043,
+  (q15_t)0x824, (q15_t)0x8043, (q15_t)0x81e, (q15_t)0x8042, (q15_t)0x818, (q15_t)0x8042, (q15_t)0x811, (q15_t)0x8042,
+  (q15_t)0x80b, (q15_t)0x8041, (q15_t)0x805, (q15_t)0x8041, (q15_t)0x7fe, (q15_t)0x8040, (q15_t)0x7f8, (q15_t)0x8040,
+  (q15_t)0x7f2, (q15_t)0x8040, (q15_t)0x7ec, (q15_t)0x803f, (q15_t)0x7e5, (q15_t)0x803f, (q15_t)0x7df, (q15_t)0x803f,
+  (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x7d3, (q15_t)0x803e, (q15_t)0x7cc, (q15_t)0x803d, (q15_t)0x7c6, (q15_t)0x803d,
+  (q15_t)0x7c0, (q15_t)0x803d, (q15_t)0x7ba, (q15_t)0x803c, (q15_t)0x7b3, (q15_t)0x803c, (q15_t)0x7ad, (q15_t)0x803b,
+  (q15_t)0x7a7, (q15_t)0x803b, (q15_t)0x7a0, (q15_t)0x803b, (q15_t)0x79a, (q15_t)0x803a, (q15_t)0x794, (q15_t)0x803a,
+  (q15_t)0x78e, (q15_t)0x803a, (q15_t)0x787, (q15_t)0x8039, (q15_t)0x781, (q15_t)0x8039, (q15_t)0x77b, (q15_t)0x8039,
+  (q15_t)0x775, (q15_t)0x8038, (q15_t)0x76e, (q15_t)0x8038, (q15_t)0x768, (q15_t)0x8037, (q15_t)0x762, (q15_t)0x8037,
+  (q15_t)0x75b, (q15_t)0x8037, (q15_t)0x755, (q15_t)0x8036, (q15_t)0x74f, (q15_t)0x8036, (q15_t)0x749, (q15_t)0x8036,
+  (q15_t)0x742, (q15_t)0x8035, (q15_t)0x73c, (q15_t)0x8035, (q15_t)0x736, (q15_t)0x8035, (q15_t)0x730, (q15_t)0x8034,
+  (q15_t)0x729, (q15_t)0x8034, (q15_t)0x723, (q15_t)0x8033, (q15_t)0x71d, (q15_t)0x8033, (q15_t)0x716, (q15_t)0x8033,
+  (q15_t)0x710, (q15_t)0x8032, (q15_t)0x70a, (q15_t)0x8032, (q15_t)0x704, (q15_t)0x8032, (q15_t)0x6fd, (q15_t)0x8031,
+  (q15_t)0x6f7, (q15_t)0x8031, (q15_t)0x6f1, (q15_t)0x8031, (q15_t)0x6ea, (q15_t)0x8030, (q15_t)0x6e4, (q15_t)0x8030,
+  (q15_t)0x6de, (q15_t)0x8030, (q15_t)0x6d8, (q15_t)0x802f, (q15_t)0x6d1, (q15_t)0x802f, (q15_t)0x6cb, (q15_t)0x802f,
+  (q15_t)0x6c5, (q15_t)0x802e, (q15_t)0x6bf, (q15_t)0x802e, (q15_t)0x6b8, (q15_t)0x802e, (q15_t)0x6b2, (q15_t)0x802d,
+  (q15_t)0x6ac, (q15_t)0x802d, (q15_t)0x6a5, (q15_t)0x802d, (q15_t)0x69f, (q15_t)0x802c, (q15_t)0x699, (q15_t)0x802c,
+  (q15_t)0x693, (q15_t)0x802c, (q15_t)0x68c, (q15_t)0x802b, (q15_t)0x686, (q15_t)0x802b, (q15_t)0x680, (q15_t)0x802b,
+  (q15_t)0x67a, (q15_t)0x802a, (q15_t)0x673, (q15_t)0x802a, (q15_t)0x66d, (q15_t)0x802a, (q15_t)0x667, (q15_t)0x802a,
+  (q15_t)0x660, (q15_t)0x8029, (q15_t)0x65a, (q15_t)0x8029, (q15_t)0x654, (q15_t)0x8029, (q15_t)0x64e, (q15_t)0x8028,
+  (q15_t)0x647, (q15_t)0x8028, (q15_t)0x641, (q15_t)0x8028, (q15_t)0x63b, (q15_t)0x8027, (q15_t)0x635, (q15_t)0x8027,
+  (q15_t)0x62e, (q15_t)0x8027, (q15_t)0x628, (q15_t)0x8026, (q15_t)0x622, (q15_t)0x8026, (q15_t)0x61b, (q15_t)0x8026,
+  (q15_t)0x615, (q15_t)0x8026, (q15_t)0x60f, (q15_t)0x8025, (q15_t)0x609, (q15_t)0x8025, (q15_t)0x602, (q15_t)0x8025,
+  (q15_t)0x5fc, (q15_t)0x8024, (q15_t)0x5f6, (q15_t)0x8024, (q15_t)0x5ef, (q15_t)0x8024, (q15_t)0x5e9, (q15_t)0x8023,
+  (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x5dd, (q15_t)0x8023, (q15_t)0x5d6, (q15_t)0x8023, (q15_t)0x5d0, (q15_t)0x8022,
+  (q15_t)0x5ca, (q15_t)0x8022, (q15_t)0x5c4, (q15_t)0x8022, (q15_t)0x5bd, (q15_t)0x8021, (q15_t)0x5b7, (q15_t)0x8021,
+  (q15_t)0x5b1, (q15_t)0x8021, (q15_t)0x5aa, (q15_t)0x8021, (q15_t)0x5a4, (q15_t)0x8020, (q15_t)0x59e, (q15_t)0x8020,
+  (q15_t)0x598, (q15_t)0x8020, (q15_t)0x591, (q15_t)0x8020, (q15_t)0x58b, (q15_t)0x801f, (q15_t)0x585, (q15_t)0x801f,
+  (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x578, (q15_t)0x801e, (q15_t)0x572, (q15_t)0x801e, (q15_t)0x56c, (q15_t)0x801e,
+  (q15_t)0x565, (q15_t)0x801e, (q15_t)0x55f, (q15_t)0x801d, (q15_t)0x559, (q15_t)0x801d, (q15_t)0x553, (q15_t)0x801d,
+  (q15_t)0x54c, (q15_t)0x801d, (q15_t)0x546, (q15_t)0x801c, (q15_t)0x540, (q15_t)0x801c, (q15_t)0x539, (q15_t)0x801c,
+  (q15_t)0x533, (q15_t)0x801c, (q15_t)0x52d, (q15_t)0x801b, (q15_t)0x527, (q15_t)0x801b, (q15_t)0x520, (q15_t)0x801b,
+  (q15_t)0x51a, (q15_t)0x801b, (q15_t)0x514, (q15_t)0x801a, (q15_t)0x50d, (q15_t)0x801a, (q15_t)0x507, (q15_t)0x801a,
+  (q15_t)0x501, (q15_t)0x801a, (q15_t)0x4fb, (q15_t)0x8019, (q15_t)0x4f4, (q15_t)0x8019, (q15_t)0x4ee, (q15_t)0x8019,
+  (q15_t)0x4e8, (q15_t)0x8019, (q15_t)0x4e2, (q15_t)0x8018, (q15_t)0x4db, (q15_t)0x8018, (q15_t)0x4d5, (q15_t)0x8018,
+  (q15_t)0x4cf, (q15_t)0x8018, (q15_t)0x4c8, (q15_t)0x8017, (q15_t)0x4c2, (q15_t)0x8017, (q15_t)0x4bc, (q15_t)0x8017,
+  (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x4af, (q15_t)0x8016, (q15_t)0x4a9, (q15_t)0x8016, (q15_t)0x4a3, (q15_t)0x8016,
+  (q15_t)0x49c, (q15_t)0x8016, (q15_t)0x496, (q15_t)0x8016, (q15_t)0x490, (q15_t)0x8015, (q15_t)0x48a, (q15_t)0x8015,
+  (q15_t)0x483, (q15_t)0x8015, (q15_t)0x47d, (q15_t)0x8015, (q15_t)0x477, (q15_t)0x8014, (q15_t)0x471, (q15_t)0x8014,
+  (q15_t)0x46a, (q15_t)0x8014, (q15_t)0x464, (q15_t)0x8014, (q15_t)0x45e, (q15_t)0x8014, (q15_t)0x457, (q15_t)0x8013,
+  (q15_t)0x451, (q15_t)0x8013, (q15_t)0x44b, (q15_t)0x8013, (q15_t)0x445, (q15_t)0x8013, (q15_t)0x43e, (q15_t)0x8013,
+  (q15_t)0x438, (q15_t)0x8012, (q15_t)0x432, (q15_t)0x8012, (q15_t)0x42b, (q15_t)0x8012, (q15_t)0x425, (q15_t)0x8012,
+  (q15_t)0x41f, (q15_t)0x8012, (q15_t)0x419, (q15_t)0x8011, (q15_t)0x412, (q15_t)0x8011, (q15_t)0x40c, (q15_t)0x8011,
+  (q15_t)0x406, (q15_t)0x8011, (q15_t)0x3ff, (q15_t)0x8011, (q15_t)0x3f9, (q15_t)0x8010, (q15_t)0x3f3, (q15_t)0x8010,
+  (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x3e6, (q15_t)0x8010, (q15_t)0x3e0, (q15_t)0x8010, (q15_t)0x3da, (q15_t)0x800f,
+  (q15_t)0x3d4, (q15_t)0x800f, (q15_t)0x3cd, (q15_t)0x800f, (q15_t)0x3c7, (q15_t)0x800f, (q15_t)0x3c1, (q15_t)0x800f,
+  (q15_t)0x3ba, (q15_t)0x800e, (q15_t)0x3b4, (q15_t)0x800e, (q15_t)0x3ae, (q15_t)0x800e, (q15_t)0x3a8, (q15_t)0x800e,
+  (q15_t)0x3a1, (q15_t)0x800e, (q15_t)0x39b, (q15_t)0x800e, (q15_t)0x395, (q15_t)0x800d, (q15_t)0x38e, (q15_t)0x800d,
+  (q15_t)0x388, (q15_t)0x800d, (q15_t)0x382, (q15_t)0x800d, (q15_t)0x37c, (q15_t)0x800d, (q15_t)0x375, (q15_t)0x800c,
+  (q15_t)0x36f, (q15_t)0x800c, (q15_t)0x369, (q15_t)0x800c, (q15_t)0x362, (q15_t)0x800c, (q15_t)0x35c, (q15_t)0x800c,
+  (q15_t)0x356, (q15_t)0x800c, (q15_t)0x350, (q15_t)0x800b, (q15_t)0x349, (q15_t)0x800b, (q15_t)0x343, (q15_t)0x800b,
+  (q15_t)0x33d, (q15_t)0x800b, (q15_t)0x337, (q15_t)0x800b, (q15_t)0x330, (q15_t)0x800b, (q15_t)0x32a, (q15_t)0x800b,
+  (q15_t)0x324, (q15_t)0x800a, (q15_t)0x31d, (q15_t)0x800a, (q15_t)0x317, (q15_t)0x800a, (q15_t)0x311, (q15_t)0x800a,
+  (q15_t)0x30b, (q15_t)0x800a, (q15_t)0x304, (q15_t)0x800a, (q15_t)0x2fe, (q15_t)0x8009, (q15_t)0x2f8, (q15_t)0x8009,
+  (q15_t)0x2f1, (q15_t)0x8009, (q15_t)0x2eb, (q15_t)0x8009, (q15_t)0x2e5, (q15_t)0x8009, (q15_t)0x2df, (q15_t)0x8009,
+  (q15_t)0x2d8, (q15_t)0x8009, (q15_t)0x2d2, (q15_t)0x8008, (q15_t)0x2cc, (q15_t)0x8008, (q15_t)0x2c5, (q15_t)0x8008,
+  (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x2b9, (q15_t)0x8008, (q15_t)0x2b3, (q15_t)0x8008, (q15_t)0x2ac, (q15_t)0x8008,
+  (q15_t)0x2a6, (q15_t)0x8008, (q15_t)0x2a0, (q15_t)0x8007, (q15_t)0x299, (q15_t)0x8007, (q15_t)0x293, (q15_t)0x8007,
+  (q15_t)0x28d, (q15_t)0x8007, (q15_t)0x287, (q15_t)0x8007, (q15_t)0x280, (q15_t)0x8007, (q15_t)0x27a, (q15_t)0x8007,
+  (q15_t)0x274, (q15_t)0x8007, (q15_t)0x26d, (q15_t)0x8006, (q15_t)0x267, (q15_t)0x8006, (q15_t)0x261, (q15_t)0x8006,
+  (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x254, (q15_t)0x8006, (q15_t)0x24e, (q15_t)0x8006, (q15_t)0x248, (q15_t)0x8006,
+  (q15_t)0x242, (q15_t)0x8006, (q15_t)0x23b, (q15_t)0x8005, (q15_t)0x235, (q15_t)0x8005, (q15_t)0x22f, (q15_t)0x8005,
+  (q15_t)0x228, (q15_t)0x8005, (q15_t)0x222, (q15_t)0x8005, (q15_t)0x21c, (q15_t)0x8005, (q15_t)0x216, (q15_t)0x8005,
+  (q15_t)0x20f, (q15_t)0x8005, (q15_t)0x209, (q15_t)0x8005, (q15_t)0x203, (q15_t)0x8005, (q15_t)0x1fc, (q15_t)0x8004,
+  (q15_t)0x1f6, (q15_t)0x8004, (q15_t)0x1f0, (q15_t)0x8004, (q15_t)0x1ea, (q15_t)0x8004, (q15_t)0x1e3, (q15_t)0x8004,
+  (q15_t)0x1dd, (q15_t)0x8004, (q15_t)0x1d7, (q15_t)0x8004, (q15_t)0x1d0, (q15_t)0x8004, (q15_t)0x1ca, (q15_t)0x8004,
+  (q15_t)0x1c4, (q15_t)0x8004, (q15_t)0x1be, (q15_t)0x8004, (q15_t)0x1b7, (q15_t)0x8003, (q15_t)0x1b1, (q15_t)0x8003,
+  (q15_t)0x1ab, (q15_t)0x8003, (q15_t)0x1a4, (q15_t)0x8003, (q15_t)0x19e, (q15_t)0x8003, (q15_t)0x198, (q15_t)0x8003,
+  (q15_t)0x192, (q15_t)0x8003, (q15_t)0x18b, (q15_t)0x8003, (q15_t)0x185, (q15_t)0x8003, (q15_t)0x17f, (q15_t)0x8003,
+  (q15_t)0x178, (q15_t)0x8003, (q15_t)0x172, (q15_t)0x8003, (q15_t)0x16c, (q15_t)0x8003, (q15_t)0x166, (q15_t)0x8002,
+  (q15_t)0x15f, (q15_t)0x8002, (q15_t)0x159, (q15_t)0x8002, (q15_t)0x153, (q15_t)0x8002, (q15_t)0x14d, (q15_t)0x8002,
+  (q15_t)0x146, (q15_t)0x8002, (q15_t)0x140, (q15_t)0x8002, (q15_t)0x13a, (q15_t)0x8002, (q15_t)0x133, (q15_t)0x8002,
+  (q15_t)0x12d, (q15_t)0x8002, (q15_t)0x127, (q15_t)0x8002, (q15_t)0x121, (q15_t)0x8002, (q15_t)0x11a, (q15_t)0x8002,
+  (q15_t)0x114, (q15_t)0x8002, (q15_t)0x10e, (q15_t)0x8002, (q15_t)0x107, (q15_t)0x8002, (q15_t)0x101, (q15_t)0x8002,
+  (q15_t)0xfb, (q15_t)0x8001, (q15_t)0xf5, (q15_t)0x8001, (q15_t)0xee, (q15_t)0x8001, (q15_t)0xe8, (q15_t)0x8001,
+  (q15_t)0xe2, (q15_t)0x8001, (q15_t)0xdb, (q15_t)0x8001, (q15_t)0xd5, (q15_t)0x8001, (q15_t)0xcf, (q15_t)0x8001,
+  (q15_t)0xc9, (q15_t)0x8001, (q15_t)0xc2, (q15_t)0x8001, (q15_t)0xbc, (q15_t)0x8001, (q15_t)0xb6, (q15_t)0x8001,
+  (q15_t)0xaf, (q15_t)0x8001, (q15_t)0xa9, (q15_t)0x8001, (q15_t)0xa3, (q15_t)0x8001, (q15_t)0x9d, (q15_t)0x8001,
+  (q15_t)0x96, (q15_t)0x8001, (q15_t)0x90, (q15_t)0x8001, (q15_t)0x8a, (q15_t)0x8001, (q15_t)0x83, (q15_t)0x8001,
+  (q15_t)0x7d, (q15_t)0x8001, (q15_t)0x77, (q15_t)0x8001, (q15_t)0x71, (q15_t)0x8001, (q15_t)0x6a, (q15_t)0x8001,
+  (q15_t)0x64, (q15_t)0x8001, (q15_t)0x5e, (q15_t)0x8001, (q15_t)0x57, (q15_t)0x8001, (q15_t)0x51, (q15_t)0x8001,
+  (q15_t)0x4b, (q15_t)0x8001, (q15_t)0x45, (q15_t)0x8001, (q15_t)0x3e, (q15_t)0x8001, (q15_t)0x38, (q15_t)0x8001,
+  (q15_t)0x32, (q15_t)0x8001, (q15_t)0x2b, (q15_t)0x8001, (q15_t)0x25, (q15_t)0x8001, (q15_t)0x1f, (q15_t)0x8001,
+  (q15_t)0x19, (q15_t)0x8001, (q15_t)0x12, (q15_t)0x8001, (q15_t)0xc, (q15_t)0x8001, (q15_t)0x6, (q15_t)0x8001
+};
+
+    const q15_t __ALIGNED(4) cos_factorsQ15_8192[8192] = {
+  (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+  (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+  (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+  (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+  (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff,
+  (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe,
+  (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe,
+  (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd,
+  (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffc,
+  (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc,
+  (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb,
+  (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa,
+  (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9,
+  (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8,
+  (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7,
+  (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6,
+  (q15_t)0x7ff6, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff4,
+  (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff3,
+  (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2,
+  (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff0, (q15_t)0x7ff0,
+  (q15_t)0x7ff0, (q15_t)0x7ff0, (q15_t)0x7ff0, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef,
+  (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fed, (q15_t)0x7fed, (q15_t)0x7fed,
+  (q15_t)0x7fed, (q15_t)0x7fed, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7feb, (q15_t)0x7feb,
+  (q15_t)0x7feb, (q15_t)0x7feb, (q15_t)0x7feb, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fe9,
+  (q15_t)0x7fe9, (q15_t)0x7fe9, (q15_t)0x7fe9, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8,
+  (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe6, (q15_t)0x7fe6, (q15_t)0x7fe6, (q15_t)0x7fe6,
+  (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe4, (q15_t)0x7fe4, (q15_t)0x7fe4, (q15_t)0x7fe4,
+  (q15_t)0x7fe3, (q15_t)0x7fe3, (q15_t)0x7fe3, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe1,
+  (q15_t)0x7fe1, (q15_t)0x7fe1, (q15_t)0x7fe1, (q15_t)0x7fe0, (q15_t)0x7fe0, (q15_t)0x7fe0, (q15_t)0x7fdf, (q15_t)0x7fdf,
+  (q15_t)0x7fdf, (q15_t)0x7fdf, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fdd, (q15_t)0x7fdd,
+  (q15_t)0x7fdd, (q15_t)0x7fdc, (q15_t)0x7fdc, (q15_t)0x7fdc, (q15_t)0x7fdb, (q15_t)0x7fdb, (q15_t)0x7fdb, (q15_t)0x7fdb,
+  (q15_t)0x7fda, (q15_t)0x7fda, (q15_t)0x7fda, (q15_t)0x7fd9, (q15_t)0x7fd9, (q15_t)0x7fd9, (q15_t)0x7fd8, (q15_t)0x7fd8,
+  (q15_t)0x7fd8, (q15_t)0x7fd8, (q15_t)0x7fd7, (q15_t)0x7fd7, (q15_t)0x7fd7, (q15_t)0x7fd6, (q15_t)0x7fd6, (q15_t)0x7fd6,
+  (q15_t)0x7fd5, (q15_t)0x7fd5, (q15_t)0x7fd5, (q15_t)0x7fd4, (q15_t)0x7fd4, (q15_t)0x7fd4, (q15_t)0x7fd3, (q15_t)0x7fd3,
+  (q15_t)0x7fd3, (q15_t)0x7fd2, (q15_t)0x7fd2, (q15_t)0x7fd2, (q15_t)0x7fd1, (q15_t)0x7fd1, (q15_t)0x7fd1, (q15_t)0x7fd0,
+  (q15_t)0x7fd0, (q15_t)0x7fd0, (q15_t)0x7fcf, (q15_t)0x7fcf, (q15_t)0x7fcf, (q15_t)0x7fce, (q15_t)0x7fce, (q15_t)0x7fce,
+  (q15_t)0x7fcd, (q15_t)0x7fcd, (q15_t)0x7fcd, (q15_t)0x7fcc, (q15_t)0x7fcc, (q15_t)0x7fcc, (q15_t)0x7fcb, (q15_t)0x7fcb,
+  (q15_t)0x7fcb, (q15_t)0x7fca, (q15_t)0x7fca, (q15_t)0x7fc9, (q15_t)0x7fc9, (q15_t)0x7fc9, (q15_t)0x7fc8, (q15_t)0x7fc8,
+  (q15_t)0x7fc8, (q15_t)0x7fc7, (q15_t)0x7fc7, (q15_t)0x7fc7, (q15_t)0x7fc6, (q15_t)0x7fc6, (q15_t)0x7fc5, (q15_t)0x7fc5,
+  (q15_t)0x7fc5, (q15_t)0x7fc4, (q15_t)0x7fc4, (q15_t)0x7fc4, (q15_t)0x7fc3, (q15_t)0x7fc3, (q15_t)0x7fc2, (q15_t)0x7fc2,
+  (q15_t)0x7fc2, (q15_t)0x7fc1, (q15_t)0x7fc1, (q15_t)0x7fc0, (q15_t)0x7fc0, (q15_t)0x7fc0, (q15_t)0x7fbf, (q15_t)0x7fbf,
+  (q15_t)0x7fbf, (q15_t)0x7fbe, (q15_t)0x7fbe, (q15_t)0x7fbd, (q15_t)0x7fbd, (q15_t)0x7fbd, (q15_t)0x7fbc, (q15_t)0x7fbc,
+  (q15_t)0x7fbb, (q15_t)0x7fbb, (q15_t)0x7fbb, (q15_t)0x7fba, (q15_t)0x7fba, (q15_t)0x7fb9, (q15_t)0x7fb9, (q15_t)0x7fb8,
+  (q15_t)0x7fb8, (q15_t)0x7fb8, (q15_t)0x7fb7, (q15_t)0x7fb7, (q15_t)0x7fb6, (q15_t)0x7fb6, (q15_t)0x7fb6, (q15_t)0x7fb5,
+  (q15_t)0x7fb5, (q15_t)0x7fb4, (q15_t)0x7fb4, (q15_t)0x7fb3, (q15_t)0x7fb3, (q15_t)0x7fb3, (q15_t)0x7fb2, (q15_t)0x7fb2,
+  (q15_t)0x7fb1, (q15_t)0x7fb1, (q15_t)0x7fb0, (q15_t)0x7fb0, (q15_t)0x7faf, (q15_t)0x7faf, (q15_t)0x7faf, (q15_t)0x7fae,
+  (q15_t)0x7fae, (q15_t)0x7fad, (q15_t)0x7fad, (q15_t)0x7fac, (q15_t)0x7fac, (q15_t)0x7fac, (q15_t)0x7fab, (q15_t)0x7fab,
+  (q15_t)0x7faa, (q15_t)0x7faa, (q15_t)0x7fa9, (q15_t)0x7fa9, (q15_t)0x7fa8, (q15_t)0x7fa8, (q15_t)0x7fa7, (q15_t)0x7fa7,
+  (q15_t)0x7fa6, (q15_t)0x7fa6, (q15_t)0x7fa6, (q15_t)0x7fa5, (q15_t)0x7fa5, (q15_t)0x7fa4, (q15_t)0x7fa4, (q15_t)0x7fa3,
+  (q15_t)0x7fa3, (q15_t)0x7fa2, (q15_t)0x7fa2, (q15_t)0x7fa1, (q15_t)0x7fa1, (q15_t)0x7fa0, (q15_t)0x7fa0, (q15_t)0x7f9f,
+  (q15_t)0x7f9f, (q15_t)0x7f9e, (q15_t)0x7f9e, (q15_t)0x7f9d, (q15_t)0x7f9d, (q15_t)0x7f9c, (q15_t)0x7f9c, (q15_t)0x7f9c,
+  (q15_t)0x7f9b, (q15_t)0x7f9b, (q15_t)0x7f9a, (q15_t)0x7f9a, (q15_t)0x7f99, (q15_t)0x7f99, (q15_t)0x7f98, (q15_t)0x7f98,
+  (q15_t)0x7f97, (q15_t)0x7f97, (q15_t)0x7f96, (q15_t)0x7f96, (q15_t)0x7f95, (q15_t)0x7f95, (q15_t)0x7f94, (q15_t)0x7f94,
+  (q15_t)0x7f93, (q15_t)0x7f92, (q15_t)0x7f92, (q15_t)0x7f91, (q15_t)0x7f91, (q15_t)0x7f90, (q15_t)0x7f90, (q15_t)0x7f8f,
+  (q15_t)0x7f8f, (q15_t)0x7f8e, (q15_t)0x7f8e, (q15_t)0x7f8d, (q15_t)0x7f8d, (q15_t)0x7f8c, (q15_t)0x7f8c, (q15_t)0x7f8b,
+  (q15_t)0x7f8b, (q15_t)0x7f8a, (q15_t)0x7f8a, (q15_t)0x7f89, (q15_t)0x7f89, (q15_t)0x7f88, (q15_t)0x7f87, (q15_t)0x7f87,
+  (q15_t)0x7f86, (q15_t)0x7f86, (q15_t)0x7f85, (q15_t)0x7f85, (q15_t)0x7f84, (q15_t)0x7f84, (q15_t)0x7f83, (q15_t)0x7f83,
+  (q15_t)0x7f82, (q15_t)0x7f81, (q15_t)0x7f81, (q15_t)0x7f80, (q15_t)0x7f80, (q15_t)0x7f7f, (q15_t)0x7f7f, (q15_t)0x7f7e,
+  (q15_t)0x7f7e, (q15_t)0x7f7d, (q15_t)0x7f7c, (q15_t)0x7f7c, (q15_t)0x7f7b, (q15_t)0x7f7b, (q15_t)0x7f7a, (q15_t)0x7f7a,
+  (q15_t)0x7f79, (q15_t)0x7f79, (q15_t)0x7f78, (q15_t)0x7f77, (q15_t)0x7f77, (q15_t)0x7f76, (q15_t)0x7f76, (q15_t)0x7f75,
+  (q15_t)0x7f75, (q15_t)0x7f74, (q15_t)0x7f73, (q15_t)0x7f73, (q15_t)0x7f72, (q15_t)0x7f72, (q15_t)0x7f71, (q15_t)0x7f70,
+  (q15_t)0x7f70, (q15_t)0x7f6f, (q15_t)0x7f6f, (q15_t)0x7f6e, (q15_t)0x7f6d, (q15_t)0x7f6d, (q15_t)0x7f6c, (q15_t)0x7f6c,
+  (q15_t)0x7f6b, (q15_t)0x7f6b, (q15_t)0x7f6a, (q15_t)0x7f69, (q15_t)0x7f69, (q15_t)0x7f68, (q15_t)0x7f68, (q15_t)0x7f67,
+  (q15_t)0x7f66, (q15_t)0x7f66, (q15_t)0x7f65, (q15_t)0x7f64, (q15_t)0x7f64, (q15_t)0x7f63, (q15_t)0x7f63, (q15_t)0x7f62,
+  (q15_t)0x7f61, (q15_t)0x7f61, (q15_t)0x7f60, (q15_t)0x7f60, (q15_t)0x7f5f, (q15_t)0x7f5e, (q15_t)0x7f5e, (q15_t)0x7f5d,
+  (q15_t)0x7f5c, (q15_t)0x7f5c, (q15_t)0x7f5b, (q15_t)0x7f5b, (q15_t)0x7f5a, (q15_t)0x7f59, (q15_t)0x7f59, (q15_t)0x7f58,
+  (q15_t)0x7f57, (q15_t)0x7f57, (q15_t)0x7f56, (q15_t)0x7f55, (q15_t)0x7f55, (q15_t)0x7f54, (q15_t)0x7f54, (q15_t)0x7f53,
+  (q15_t)0x7f52, (q15_t)0x7f52, (q15_t)0x7f51, (q15_t)0x7f50, (q15_t)0x7f50, (q15_t)0x7f4f, (q15_t)0x7f4e, (q15_t)0x7f4e,
+  (q15_t)0x7f4d, (q15_t)0x7f4c, (q15_t)0x7f4c, (q15_t)0x7f4b, (q15_t)0x7f4a, (q15_t)0x7f4a, (q15_t)0x7f49, (q15_t)0x7f48,
+  (q15_t)0x7f48, (q15_t)0x7f47, (q15_t)0x7f46, (q15_t)0x7f46, (q15_t)0x7f45, (q15_t)0x7f44, (q15_t)0x7f44, (q15_t)0x7f43,
+  (q15_t)0x7f42, (q15_t)0x7f42, (q15_t)0x7f41, (q15_t)0x7f40, (q15_t)0x7f40, (q15_t)0x7f3f, (q15_t)0x7f3e, (q15_t)0x7f3e,
+  (q15_t)0x7f3d, (q15_t)0x7f3c, (q15_t)0x7f3c, (q15_t)0x7f3b, (q15_t)0x7f3a, (q15_t)0x7f3a, (q15_t)0x7f39, (q15_t)0x7f38,
+  (q15_t)0x7f37, (q15_t)0x7f37, (q15_t)0x7f36, (q15_t)0x7f35, (q15_t)0x7f35, (q15_t)0x7f34, (q15_t)0x7f33, (q15_t)0x7f33,
+  (q15_t)0x7f32, (q15_t)0x7f31, (q15_t)0x7f31, (q15_t)0x7f30, (q15_t)0x7f2f, (q15_t)0x7f2e, (q15_t)0x7f2e, (q15_t)0x7f2d,
+  (q15_t)0x7f2c, (q15_t)0x7f2c, (q15_t)0x7f2b, (q15_t)0x7f2a, (q15_t)0x7f29, (q15_t)0x7f29, (q15_t)0x7f28, (q15_t)0x7f27,
+  (q15_t)0x7f27, (q15_t)0x7f26, (q15_t)0x7f25, (q15_t)0x7f24, (q15_t)0x7f24, (q15_t)0x7f23, (q15_t)0x7f22, (q15_t)0x7f21,
+  (q15_t)0x7f21, (q15_t)0x7f20, (q15_t)0x7f1f, (q15_t)0x7f1f, (q15_t)0x7f1e, (q15_t)0x7f1d, (q15_t)0x7f1c, (q15_t)0x7f1c,
+  (q15_t)0x7f1b, (q15_t)0x7f1a, (q15_t)0x7f19, (q15_t)0x7f19, (q15_t)0x7f18, (q15_t)0x7f17, (q15_t)0x7f16, (q15_t)0x7f16,
+  (q15_t)0x7f15, (q15_t)0x7f14, (q15_t)0x7f13, (q15_t)0x7f13, (q15_t)0x7f12, (q15_t)0x7f11, (q15_t)0x7f10, (q15_t)0x7f10,
+  (q15_t)0x7f0f, (q15_t)0x7f0e, (q15_t)0x7f0d, (q15_t)0x7f0d, (q15_t)0x7f0c, (q15_t)0x7f0b, (q15_t)0x7f0a, (q15_t)0x7f09,
+  (q15_t)0x7f09, (q15_t)0x7f08, (q15_t)0x7f07, (q15_t)0x7f06, (q15_t)0x7f06, (q15_t)0x7f05, (q15_t)0x7f04, (q15_t)0x7f03,
+  (q15_t)0x7f02, (q15_t)0x7f02, (q15_t)0x7f01, (q15_t)0x7f00, (q15_t)0x7eff, (q15_t)0x7eff, (q15_t)0x7efe, (q15_t)0x7efd,
+  (q15_t)0x7efc, (q15_t)0x7efb, (q15_t)0x7efb, (q15_t)0x7efa, (q15_t)0x7ef9, (q15_t)0x7ef8, (q15_t)0x7ef7, (q15_t)0x7ef7,
+  (q15_t)0x7ef6, (q15_t)0x7ef5, (q15_t)0x7ef4, (q15_t)0x7ef3, (q15_t)0x7ef3, (q15_t)0x7ef2, (q15_t)0x7ef1, (q15_t)0x7ef0,
+  (q15_t)0x7eef, (q15_t)0x7eef, (q15_t)0x7eee, (q15_t)0x7eed, (q15_t)0x7eec, (q15_t)0x7eeb, (q15_t)0x7eeb, (q15_t)0x7eea,
+  (q15_t)0x7ee9, (q15_t)0x7ee8, (q15_t)0x7ee7, (q15_t)0x7ee6, (q15_t)0x7ee6, (q15_t)0x7ee5, (q15_t)0x7ee4, (q15_t)0x7ee3,
+  (q15_t)0x7ee2, (q15_t)0x7ee2, (q15_t)0x7ee1, (q15_t)0x7ee0, (q15_t)0x7edf, (q15_t)0x7ede, (q15_t)0x7edd, (q15_t)0x7edd,
+  (q15_t)0x7edc, (q15_t)0x7edb, (q15_t)0x7eda, (q15_t)0x7ed9, (q15_t)0x7ed8, (q15_t)0x7ed8, (q15_t)0x7ed7, (q15_t)0x7ed6,
+  (q15_t)0x7ed5, (q15_t)0x7ed4, (q15_t)0x7ed3, (q15_t)0x7ed2, (q15_t)0x7ed2, (q15_t)0x7ed1, (q15_t)0x7ed0, (q15_t)0x7ecf,
+  (q15_t)0x7ece, (q15_t)0x7ecd, (q15_t)0x7ecc, (q15_t)0x7ecc, (q15_t)0x7ecb, (q15_t)0x7eca, (q15_t)0x7ec9, (q15_t)0x7ec8,
+  (q15_t)0x7ec7, (q15_t)0x7ec6, (q15_t)0x7ec6, (q15_t)0x7ec5, (q15_t)0x7ec4, (q15_t)0x7ec3, (q15_t)0x7ec2, (q15_t)0x7ec1,
+  (q15_t)0x7ec0, (q15_t)0x7ebf, (q15_t)0x7ebf, (q15_t)0x7ebe, (q15_t)0x7ebd, (q15_t)0x7ebc, (q15_t)0x7ebb, (q15_t)0x7eba,
+  (q15_t)0x7eb9, (q15_t)0x7eb8, (q15_t)0x7eb8, (q15_t)0x7eb7, (q15_t)0x7eb6, (q15_t)0x7eb5, (q15_t)0x7eb4, (q15_t)0x7eb3,
+  (q15_t)0x7eb2, (q15_t)0x7eb1, (q15_t)0x7eb0, (q15_t)0x7eaf, (q15_t)0x7eaf, (q15_t)0x7eae, (q15_t)0x7ead, (q15_t)0x7eac,
+  (q15_t)0x7eab, (q15_t)0x7eaa, (q15_t)0x7ea9, (q15_t)0x7ea8, (q15_t)0x7ea7, (q15_t)0x7ea6, (q15_t)0x7ea6, (q15_t)0x7ea5,
+  (q15_t)0x7ea4, (q15_t)0x7ea3, (q15_t)0x7ea2, (q15_t)0x7ea1, (q15_t)0x7ea0, (q15_t)0x7e9f, (q15_t)0x7e9e, (q15_t)0x7e9d,
+  (q15_t)0x7e9c, (q15_t)0x7e9b, (q15_t)0x7e9b, (q15_t)0x7e9a, (q15_t)0x7e99, (q15_t)0x7e98, (q15_t)0x7e97, (q15_t)0x7e96,
+  (q15_t)0x7e95, (q15_t)0x7e94, (q15_t)0x7e93, (q15_t)0x7e92, (q15_t)0x7e91, (q15_t)0x7e90, (q15_t)0x7e8f, (q15_t)0x7e8e,
+  (q15_t)0x7e8d, (q15_t)0x7e8d, (q15_t)0x7e8c, (q15_t)0x7e8b, (q15_t)0x7e8a, (q15_t)0x7e89, (q15_t)0x7e88, (q15_t)0x7e87,
+  (q15_t)0x7e86, (q15_t)0x7e85, (q15_t)0x7e84, (q15_t)0x7e83, (q15_t)0x7e82, (q15_t)0x7e81, (q15_t)0x7e80, (q15_t)0x7e7f,
+  (q15_t)0x7e7e, (q15_t)0x7e7d, (q15_t)0x7e7c, (q15_t)0x7e7b, (q15_t)0x7e7a, (q15_t)0x7e79, (q15_t)0x7e78, (q15_t)0x7e77,
+  (q15_t)0x7e77, (q15_t)0x7e76, (q15_t)0x7e75, (q15_t)0x7e74, (q15_t)0x7e73, (q15_t)0x7e72, (q15_t)0x7e71, (q15_t)0x7e70,
+  (q15_t)0x7e6f, (q15_t)0x7e6e, (q15_t)0x7e6d, (q15_t)0x7e6c, (q15_t)0x7e6b, (q15_t)0x7e6a, (q15_t)0x7e69, (q15_t)0x7e68,
+  (q15_t)0x7e67, (q15_t)0x7e66, (q15_t)0x7e65, (q15_t)0x7e64, (q15_t)0x7e63, (q15_t)0x7e62, (q15_t)0x7e61, (q15_t)0x7e60,
+  (q15_t)0x7e5f, (q15_t)0x7e5e, (q15_t)0x7e5d, (q15_t)0x7e5c, (q15_t)0x7e5b, (q15_t)0x7e5a, (q15_t)0x7e59, (q15_t)0x7e58,
+  (q15_t)0x7e57, (q15_t)0x7e56, (q15_t)0x7e55, (q15_t)0x7e54, (q15_t)0x7e53, (q15_t)0x7e52, (q15_t)0x7e51, (q15_t)0x7e50,
+  (q15_t)0x7e4f, (q15_t)0x7e4e, (q15_t)0x7e4d, (q15_t)0x7e4c, (q15_t)0x7e4b, (q15_t)0x7e4a, (q15_t)0x7e49, (q15_t)0x7e48,
+  (q15_t)0x7e47, (q15_t)0x7e46, (q15_t)0x7e45, (q15_t)0x7e43, (q15_t)0x7e42, (q15_t)0x7e41, (q15_t)0x7e40, (q15_t)0x7e3f,
+  (q15_t)0x7e3e, (q15_t)0x7e3d, (q15_t)0x7e3c, (q15_t)0x7e3b, (q15_t)0x7e3a, (q15_t)0x7e39, (q15_t)0x7e38, (q15_t)0x7e37,
+  (q15_t)0x7e36, (q15_t)0x7e35, (q15_t)0x7e34, (q15_t)0x7e33, (q15_t)0x7e32, (q15_t)0x7e31, (q15_t)0x7e30, (q15_t)0x7e2f,
+  (q15_t)0x7e2e, (q15_t)0x7e2d, (q15_t)0x7e2b, (q15_t)0x7e2a, (q15_t)0x7e29, (q15_t)0x7e28, (q15_t)0x7e27, (q15_t)0x7e26,
+  (q15_t)0x7e25, (q15_t)0x7e24, (q15_t)0x7e23, (q15_t)0x7e22, (q15_t)0x7e21, (q15_t)0x7e20, (q15_t)0x7e1f, (q15_t)0x7e1e,
+  (q15_t)0x7e1d, (q15_t)0x7e1b, (q15_t)0x7e1a, (q15_t)0x7e19, (q15_t)0x7e18, (q15_t)0x7e17, (q15_t)0x7e16, (q15_t)0x7e15,
+  (q15_t)0x7e14, (q15_t)0x7e13, (q15_t)0x7e12, (q15_t)0x7e11, (q15_t)0x7e10, (q15_t)0x7e0e, (q15_t)0x7e0d, (q15_t)0x7e0c,
+  (q15_t)0x7e0b, (q15_t)0x7e0a, (q15_t)0x7e09, (q15_t)0x7e08, (q15_t)0x7e07, (q15_t)0x7e06, (q15_t)0x7e05, (q15_t)0x7e04,
+  (q15_t)0x7e02, (q15_t)0x7e01, (q15_t)0x7e00, (q15_t)0x7dff, (q15_t)0x7dfe, (q15_t)0x7dfd, (q15_t)0x7dfc, (q15_t)0x7dfb,
+  (q15_t)0x7dfa, (q15_t)0x7df8, (q15_t)0x7df7, (q15_t)0x7df6, (q15_t)0x7df5, (q15_t)0x7df4, (q15_t)0x7df3, (q15_t)0x7df2,
+  (q15_t)0x7df1, (q15_t)0x7def, (q15_t)0x7dee, (q15_t)0x7ded, (q15_t)0x7dec, (q15_t)0x7deb, (q15_t)0x7dea, (q15_t)0x7de9,
+  (q15_t)0x7de8, (q15_t)0x7de6, (q15_t)0x7de5, (q15_t)0x7de4, (q15_t)0x7de3, (q15_t)0x7de2, (q15_t)0x7de1, (q15_t)0x7de0,
+  (q15_t)0x7dde, (q15_t)0x7ddd, (q15_t)0x7ddc, (q15_t)0x7ddb, (q15_t)0x7dda, (q15_t)0x7dd9, (q15_t)0x7dd8, (q15_t)0x7dd6,
+  (q15_t)0x7dd5, (q15_t)0x7dd4, (q15_t)0x7dd3, (q15_t)0x7dd2, (q15_t)0x7dd1, (q15_t)0x7dd0, (q15_t)0x7dce, (q15_t)0x7dcd,
+  (q15_t)0x7dcc, (q15_t)0x7dcb, (q15_t)0x7dca, (q15_t)0x7dc9, (q15_t)0x7dc7, (q15_t)0x7dc6, (q15_t)0x7dc5, (q15_t)0x7dc4,
+  (q15_t)0x7dc3, (q15_t)0x7dc2, (q15_t)0x7dc0, (q15_t)0x7dbf, (q15_t)0x7dbe, (q15_t)0x7dbd, (q15_t)0x7dbc, (q15_t)0x7dbb,
+  (q15_t)0x7db9, (q15_t)0x7db8, (q15_t)0x7db7, (q15_t)0x7db6, (q15_t)0x7db5, (q15_t)0x7db3, (q15_t)0x7db2, (q15_t)0x7db1,
+  (q15_t)0x7db0, (q15_t)0x7daf, (q15_t)0x7dae, (q15_t)0x7dac, (q15_t)0x7dab, (q15_t)0x7daa, (q15_t)0x7da9, (q15_t)0x7da8,
+  (q15_t)0x7da6, (q15_t)0x7da5, (q15_t)0x7da4, (q15_t)0x7da3, (q15_t)0x7da2, (q15_t)0x7da0, (q15_t)0x7d9f, (q15_t)0x7d9e,
+  (q15_t)0x7d9d, (q15_t)0x7d9c, (q15_t)0x7d9a, (q15_t)0x7d99, (q15_t)0x7d98, (q15_t)0x7d97, (q15_t)0x7d95, (q15_t)0x7d94,
+  (q15_t)0x7d93, (q15_t)0x7d92, (q15_t)0x7d91, (q15_t)0x7d8f, (q15_t)0x7d8e, (q15_t)0x7d8d, (q15_t)0x7d8c, (q15_t)0x7d8a,
+  (q15_t)0x7d89, (q15_t)0x7d88, (q15_t)0x7d87, (q15_t)0x7d86, (q15_t)0x7d84, (q15_t)0x7d83, (q15_t)0x7d82, (q15_t)0x7d81,
+  (q15_t)0x7d7f, (q15_t)0x7d7e, (q15_t)0x7d7d, (q15_t)0x7d7c, (q15_t)0x7d7a, (q15_t)0x7d79, (q15_t)0x7d78, (q15_t)0x7d77,
+  (q15_t)0x7d75, (q15_t)0x7d74, (q15_t)0x7d73, (q15_t)0x7d72, (q15_t)0x7d70, (q15_t)0x7d6f, (q15_t)0x7d6e, (q15_t)0x7d6d,
+  (q15_t)0x7d6b, (q15_t)0x7d6a, (q15_t)0x7d69, (q15_t)0x7d68, (q15_t)0x7d66, (q15_t)0x7d65, (q15_t)0x7d64, (q15_t)0x7d63,
+  (q15_t)0x7d61, (q15_t)0x7d60, (q15_t)0x7d5f, (q15_t)0x7d5e, (q15_t)0x7d5c, (q15_t)0x7d5b, (q15_t)0x7d5a, (q15_t)0x7d59,
+  (q15_t)0x7d57, (q15_t)0x7d56, (q15_t)0x7d55, (q15_t)0x7d53, (q15_t)0x7d52, (q15_t)0x7d51, (q15_t)0x7d50, (q15_t)0x7d4e,
+  (q15_t)0x7d4d, (q15_t)0x7d4c, (q15_t)0x7d4a, (q15_t)0x7d49, (q15_t)0x7d48, (q15_t)0x7d47, (q15_t)0x7d45, (q15_t)0x7d44,
+  (q15_t)0x7d43, (q15_t)0x7d41, (q15_t)0x7d40, (q15_t)0x7d3f, (q15_t)0x7d3e, (q15_t)0x7d3c, (q15_t)0x7d3b, (q15_t)0x7d3a,
+  (q15_t)0x7d38, (q15_t)0x7d37, (q15_t)0x7d36, (q15_t)0x7d34, (q15_t)0x7d33, (q15_t)0x7d32, (q15_t)0x7d31, (q15_t)0x7d2f,
+  (q15_t)0x7d2e, (q15_t)0x7d2d, (q15_t)0x7d2b, (q15_t)0x7d2a, (q15_t)0x7d29, (q15_t)0x7d27, (q15_t)0x7d26, (q15_t)0x7d25,
+  (q15_t)0x7d23, (q15_t)0x7d22, (q15_t)0x7d21, (q15_t)0x7d1f, (q15_t)0x7d1e, (q15_t)0x7d1d, (q15_t)0x7d1b, (q15_t)0x7d1a,
+  (q15_t)0x7d19, (q15_t)0x7d17, (q15_t)0x7d16, (q15_t)0x7d15, (q15_t)0x7d13, (q15_t)0x7d12, (q15_t)0x7d11, (q15_t)0x7d0f,
+  (q15_t)0x7d0e, (q15_t)0x7d0d, (q15_t)0x7d0b, (q15_t)0x7d0a, (q15_t)0x7d09, (q15_t)0x7d07, (q15_t)0x7d06, (q15_t)0x7d05,
+  (q15_t)0x7d03, (q15_t)0x7d02, (q15_t)0x7d01, (q15_t)0x7cff, (q15_t)0x7cfe, (q15_t)0x7cfd, (q15_t)0x7cfb, (q15_t)0x7cfa,
+  (q15_t)0x7cf9, (q15_t)0x7cf7, (q15_t)0x7cf6, (q15_t)0x7cf4, (q15_t)0x7cf3, (q15_t)0x7cf2, (q15_t)0x7cf0, (q15_t)0x7cef,
+  (q15_t)0x7cee, (q15_t)0x7cec, (q15_t)0x7ceb, (q15_t)0x7ce9, (q15_t)0x7ce8, (q15_t)0x7ce7, (q15_t)0x7ce5, (q15_t)0x7ce4,
+  (q15_t)0x7ce3, (q15_t)0x7ce1, (q15_t)0x7ce0, (q15_t)0x7cde, (q15_t)0x7cdd, (q15_t)0x7cdc, (q15_t)0x7cda, (q15_t)0x7cd9,
+  (q15_t)0x7cd8, (q15_t)0x7cd6, (q15_t)0x7cd5, (q15_t)0x7cd3, (q15_t)0x7cd2, (q15_t)0x7cd1, (q15_t)0x7ccf, (q15_t)0x7cce,
+  (q15_t)0x7ccc, (q15_t)0x7ccb, (q15_t)0x7cca, (q15_t)0x7cc8, (q15_t)0x7cc7, (q15_t)0x7cc5, (q15_t)0x7cc4, (q15_t)0x7cc3,
+  (q15_t)0x7cc1, (q15_t)0x7cc0, (q15_t)0x7cbe, (q15_t)0x7cbd, (q15_t)0x7cbc, (q15_t)0x7cba, (q15_t)0x7cb9, (q15_t)0x7cb7,
+  (q15_t)0x7cb6, (q15_t)0x7cb5, (q15_t)0x7cb3, (q15_t)0x7cb2, (q15_t)0x7cb0, (q15_t)0x7caf, (q15_t)0x7cad, (q15_t)0x7cac,
+  (q15_t)0x7cab, (q15_t)0x7ca9, (q15_t)0x7ca8, (q15_t)0x7ca6, (q15_t)0x7ca5, (q15_t)0x7ca3, (q15_t)0x7ca2, (q15_t)0x7ca1,
+  (q15_t)0x7c9f, (q15_t)0x7c9e, (q15_t)0x7c9c, (q15_t)0x7c9b, (q15_t)0x7c99, (q15_t)0x7c98, (q15_t)0x7c97, (q15_t)0x7c95,
+  (q15_t)0x7c94, (q15_t)0x7c92, (q15_t)0x7c91, (q15_t)0x7c8f, (q15_t)0x7c8e, (q15_t)0x7c8c, (q15_t)0x7c8b, (q15_t)0x7c8a,
+  (q15_t)0x7c88, (q15_t)0x7c87, (q15_t)0x7c85, (q15_t)0x7c84, (q15_t)0x7c82, (q15_t)0x7c81, (q15_t)0x7c7f, (q15_t)0x7c7e,
+  (q15_t)0x7c7c, (q15_t)0x7c7b, (q15_t)0x7c79, (q15_t)0x7c78, (q15_t)0x7c77, (q15_t)0x7c75, (q15_t)0x7c74, (q15_t)0x7c72,
+  (q15_t)0x7c71, (q15_t)0x7c6f, (q15_t)0x7c6e, (q15_t)0x7c6c, (q15_t)0x7c6b, (q15_t)0x7c69, (q15_t)0x7c68, (q15_t)0x7c66,
+  (q15_t)0x7c65, (q15_t)0x7c63, (q15_t)0x7c62, (q15_t)0x7c60, (q15_t)0x7c5f, (q15_t)0x7c5d, (q15_t)0x7c5c, (q15_t)0x7c5a,
+  (q15_t)0x7c59, (q15_t)0x7c58, (q15_t)0x7c56, (q15_t)0x7c55, (q15_t)0x7c53, (q15_t)0x7c52, (q15_t)0x7c50, (q15_t)0x7c4f,
+  (q15_t)0x7c4d, (q15_t)0x7c4c, (q15_t)0x7c4a, (q15_t)0x7c49, (q15_t)0x7c47, (q15_t)0x7c46, (q15_t)0x7c44, (q15_t)0x7c43,
+  (q15_t)0x7c41, (q15_t)0x7c3f, (q15_t)0x7c3e, (q15_t)0x7c3c, (q15_t)0x7c3b, (q15_t)0x7c39, (q15_t)0x7c38, (q15_t)0x7c36,
+  (q15_t)0x7c35, (q15_t)0x7c33, (q15_t)0x7c32, (q15_t)0x7c30, (q15_t)0x7c2f, (q15_t)0x7c2d, (q15_t)0x7c2c, (q15_t)0x7c2a,
+  (q15_t)0x7c29, (q15_t)0x7c27, (q15_t)0x7c26, (q15_t)0x7c24, (q15_t)0x7c23, (q15_t)0x7c21, (q15_t)0x7c20, (q15_t)0x7c1e,
+  (q15_t)0x7c1c, (q15_t)0x7c1b, (q15_t)0x7c19, (q15_t)0x7c18, (q15_t)0x7c16, (q15_t)0x7c15, (q15_t)0x7c13, (q15_t)0x7c12,
+  (q15_t)0x7c10, (q15_t)0x7c0f, (q15_t)0x7c0d, (q15_t)0x7c0b, (q15_t)0x7c0a, (q15_t)0x7c08, (q15_t)0x7c07, (q15_t)0x7c05,
+  (q15_t)0x7c04, (q15_t)0x7c02, (q15_t)0x7c01, (q15_t)0x7bff, (q15_t)0x7bfd, (q15_t)0x7bfc, (q15_t)0x7bfa, (q15_t)0x7bf9,
+  (q15_t)0x7bf7, (q15_t)0x7bf6, (q15_t)0x7bf4, (q15_t)0x7bf3, (q15_t)0x7bf1, (q15_t)0x7bef, (q15_t)0x7bee, (q15_t)0x7bec,
+  (q15_t)0x7beb, (q15_t)0x7be9, (q15_t)0x7be8, (q15_t)0x7be6, (q15_t)0x7be4, (q15_t)0x7be3, (q15_t)0x7be1, (q15_t)0x7be0,
+  (q15_t)0x7bde, (q15_t)0x7bdc, (q15_t)0x7bdb, (q15_t)0x7bd9, (q15_t)0x7bd8, (q15_t)0x7bd6, (q15_t)0x7bd5, (q15_t)0x7bd3,
+  (q15_t)0x7bd1, (q15_t)0x7bd0, (q15_t)0x7bce, (q15_t)0x7bcd, (q15_t)0x7bcb, (q15_t)0x7bc9, (q15_t)0x7bc8, (q15_t)0x7bc6,
+  (q15_t)0x7bc5, (q15_t)0x7bc3, (q15_t)0x7bc1, (q15_t)0x7bc0, (q15_t)0x7bbe, (q15_t)0x7bbd, (q15_t)0x7bbb, (q15_t)0x7bb9,
+  (q15_t)0x7bb8, (q15_t)0x7bb6, (q15_t)0x7bb5, (q15_t)0x7bb3, (q15_t)0x7bb1, (q15_t)0x7bb0, (q15_t)0x7bae, (q15_t)0x7bac,
+  (q15_t)0x7bab, (q15_t)0x7ba9, (q15_t)0x7ba8, (q15_t)0x7ba6, (q15_t)0x7ba4, (q15_t)0x7ba3, (q15_t)0x7ba1, (q15_t)0x7b9f,
+  (q15_t)0x7b9e, (q15_t)0x7b9c, (q15_t)0x7b9b, (q15_t)0x7b99, (q15_t)0x7b97, (q15_t)0x7b96, (q15_t)0x7b94, (q15_t)0x7b92,
+  (q15_t)0x7b91, (q15_t)0x7b8f, (q15_t)0x7b8d, (q15_t)0x7b8c, (q15_t)0x7b8a, (q15_t)0x7b89, (q15_t)0x7b87, (q15_t)0x7b85,
+  (q15_t)0x7b84, (q15_t)0x7b82, (q15_t)0x7b80, (q15_t)0x7b7f, (q15_t)0x7b7d, (q15_t)0x7b7b, (q15_t)0x7b7a, (q15_t)0x7b78,
+  (q15_t)0x7b76, (q15_t)0x7b75, (q15_t)0x7b73, (q15_t)0x7b71, (q15_t)0x7b70, (q15_t)0x7b6e, (q15_t)0x7b6c, (q15_t)0x7b6b,
+  (q15_t)0x7b69, (q15_t)0x7b67, (q15_t)0x7b66, (q15_t)0x7b64, (q15_t)0x7b62, (q15_t)0x7b61, (q15_t)0x7b5f, (q15_t)0x7b5d,
+  (q15_t)0x7b5c, (q15_t)0x7b5a, (q15_t)0x7b58, (q15_t)0x7b57, (q15_t)0x7b55, (q15_t)0x7b53, (q15_t)0x7b52, (q15_t)0x7b50,
+  (q15_t)0x7b4e, (q15_t)0x7b4d, (q15_t)0x7b4b, (q15_t)0x7b49, (q15_t)0x7b47, (q15_t)0x7b46, (q15_t)0x7b44, (q15_t)0x7b42,
+  (q15_t)0x7b41, (q15_t)0x7b3f, (q15_t)0x7b3d, (q15_t)0x7b3c, (q15_t)0x7b3a, (q15_t)0x7b38, (q15_t)0x7b37, (q15_t)0x7b35,
+  (q15_t)0x7b33, (q15_t)0x7b31, (q15_t)0x7b30, (q15_t)0x7b2e, (q15_t)0x7b2c, (q15_t)0x7b2b, (q15_t)0x7b29, (q15_t)0x7b27,
+  (q15_t)0x7b25, (q15_t)0x7b24, (q15_t)0x7b22, (q15_t)0x7b20, (q15_t)0x7b1f, (q15_t)0x7b1d, (q15_t)0x7b1b, (q15_t)0x7b19,
+  (q15_t)0x7b18, (q15_t)0x7b16, (q15_t)0x7b14, (q15_t)0x7b13, (q15_t)0x7b11, (q15_t)0x7b0f, (q15_t)0x7b0d, (q15_t)0x7b0c,
+  (q15_t)0x7b0a, (q15_t)0x7b08, (q15_t)0x7b06, (q15_t)0x7b05, (q15_t)0x7b03, (q15_t)0x7b01, (q15_t)0x7aff, (q15_t)0x7afe,
+  (q15_t)0x7afc, (q15_t)0x7afa, (q15_t)0x7af8, (q15_t)0x7af7, (q15_t)0x7af5, (q15_t)0x7af3, (q15_t)0x7af2, (q15_t)0x7af0,
+  (q15_t)0x7aee, (q15_t)0x7aec, (q15_t)0x7aeb, (q15_t)0x7ae9, (q15_t)0x7ae7, (q15_t)0x7ae5, (q15_t)0x7ae3, (q15_t)0x7ae2,
+  (q15_t)0x7ae0, (q15_t)0x7ade, (q15_t)0x7adc, (q15_t)0x7adb, (q15_t)0x7ad9, (q15_t)0x7ad7, (q15_t)0x7ad5, (q15_t)0x7ad4,
+  (q15_t)0x7ad2, (q15_t)0x7ad0, (q15_t)0x7ace, (q15_t)0x7acd, (q15_t)0x7acb, (q15_t)0x7ac9, (q15_t)0x7ac7, (q15_t)0x7ac5,
+  (q15_t)0x7ac4, (q15_t)0x7ac2, (q15_t)0x7ac0, (q15_t)0x7abe, (q15_t)0x7abd, (q15_t)0x7abb, (q15_t)0x7ab9, (q15_t)0x7ab7,
+  (q15_t)0x7ab5, (q15_t)0x7ab4, (q15_t)0x7ab2, (q15_t)0x7ab0, (q15_t)0x7aae, (q15_t)0x7aac, (q15_t)0x7aab, (q15_t)0x7aa9,
+  (q15_t)0x7aa7, (q15_t)0x7aa5, (q15_t)0x7aa3, (q15_t)0x7aa2, (q15_t)0x7aa0, (q15_t)0x7a9e, (q15_t)0x7a9c, (q15_t)0x7a9a,
+  (q15_t)0x7a99, (q15_t)0x7a97, (q15_t)0x7a95, (q15_t)0x7a93, (q15_t)0x7a91, (q15_t)0x7a90, (q15_t)0x7a8e, (q15_t)0x7a8c,
+  (q15_t)0x7a8a, (q15_t)0x7a88, (q15_t)0x7a87, (q15_t)0x7a85, (q15_t)0x7a83, (q15_t)0x7a81, (q15_t)0x7a7f, (q15_t)0x7a7d,
+  (q15_t)0x7a7c, (q15_t)0x7a7a, (q15_t)0x7a78, (q15_t)0x7a76, (q15_t)0x7a74, (q15_t)0x7a72, (q15_t)0x7a71, (q15_t)0x7a6f,
+  (q15_t)0x7a6d, (q15_t)0x7a6b, (q15_t)0x7a69, (q15_t)0x7a67, (q15_t)0x7a66, (q15_t)0x7a64, (q15_t)0x7a62, (q15_t)0x7a60,
+  (q15_t)0x7a5e, (q15_t)0x7a5c, (q15_t)0x7a5b, (q15_t)0x7a59, (q15_t)0x7a57, (q15_t)0x7a55, (q15_t)0x7a53, (q15_t)0x7a51,
+  (q15_t)0x7a4f, (q15_t)0x7a4e, (q15_t)0x7a4c, (q15_t)0x7a4a, (q15_t)0x7a48, (q15_t)0x7a46, (q15_t)0x7a44, (q15_t)0x7a42,
+  (q15_t)0x7a41, (q15_t)0x7a3f, (q15_t)0x7a3d, (q15_t)0x7a3b, (q15_t)0x7a39, (q15_t)0x7a37, (q15_t)0x7a35, (q15_t)0x7a34,
+  (q15_t)0x7a32, (q15_t)0x7a30, (q15_t)0x7a2e, (q15_t)0x7a2c, (q15_t)0x7a2a, (q15_t)0x7a28, (q15_t)0x7a26, (q15_t)0x7a25,
+  (q15_t)0x7a23, (q15_t)0x7a21, (q15_t)0x7a1f, (q15_t)0x7a1d, (q15_t)0x7a1b, (q15_t)0x7a19, (q15_t)0x7a17, (q15_t)0x7a16,
+  (q15_t)0x7a14, (q15_t)0x7a12, (q15_t)0x7a10, (q15_t)0x7a0e, (q15_t)0x7a0c, (q15_t)0x7a0a, (q15_t)0x7a08, (q15_t)0x7a06,
+  (q15_t)0x7a04, (q15_t)0x7a03, (q15_t)0x7a01, (q15_t)0x79ff, (q15_t)0x79fd, (q15_t)0x79fb, (q15_t)0x79f9, (q15_t)0x79f7,
+  (q15_t)0x79f5, (q15_t)0x79f3, (q15_t)0x79f1, (q15_t)0x79f0, (q15_t)0x79ee, (q15_t)0x79ec, (q15_t)0x79ea, (q15_t)0x79e8,
+  (q15_t)0x79e6, (q15_t)0x79e4, (q15_t)0x79e2, (q15_t)0x79e0, (q15_t)0x79de, (q15_t)0x79dc, (q15_t)0x79da, (q15_t)0x79d9,
+  (q15_t)0x79d7, (q15_t)0x79d5, (q15_t)0x79d3, (q15_t)0x79d1, (q15_t)0x79cf, (q15_t)0x79cd, (q15_t)0x79cb, (q15_t)0x79c9,
+  (q15_t)0x79c7, (q15_t)0x79c5, (q15_t)0x79c3, (q15_t)0x79c1, (q15_t)0x79bf, (q15_t)0x79bd, (q15_t)0x79bc, (q15_t)0x79ba,
+  (q15_t)0x79b8, (q15_t)0x79b6, (q15_t)0x79b4, (q15_t)0x79b2, (q15_t)0x79b0, (q15_t)0x79ae, (q15_t)0x79ac, (q15_t)0x79aa,
+  (q15_t)0x79a8, (q15_t)0x79a6, (q15_t)0x79a4, (q15_t)0x79a2, (q15_t)0x79a0, (q15_t)0x799e, (q15_t)0x799c, (q15_t)0x799a,
+  (q15_t)0x7998, (q15_t)0x7996, (q15_t)0x7994, (q15_t)0x7992, (q15_t)0x7991, (q15_t)0x798f, (q15_t)0x798d, (q15_t)0x798b,
+  (q15_t)0x7989, (q15_t)0x7987, (q15_t)0x7985, (q15_t)0x7983, (q15_t)0x7981, (q15_t)0x797f, (q15_t)0x797d, (q15_t)0x797b,
+  (q15_t)0x7979, (q15_t)0x7977, (q15_t)0x7975, (q15_t)0x7973, (q15_t)0x7971, (q15_t)0x796f, (q15_t)0x796d, (q15_t)0x796b,
+  (q15_t)0x7969, (q15_t)0x7967, (q15_t)0x7965, (q15_t)0x7963, (q15_t)0x7961, (q15_t)0x795f, (q15_t)0x795d, (q15_t)0x795b,
+  (q15_t)0x7959, (q15_t)0x7957, (q15_t)0x7955, (q15_t)0x7953, (q15_t)0x7951, (q15_t)0x794f, (q15_t)0x794d, (q15_t)0x794b,
+  (q15_t)0x7949, (q15_t)0x7947, (q15_t)0x7945, (q15_t)0x7943, (q15_t)0x7941, (q15_t)0x793f, (q15_t)0x793d, (q15_t)0x793b,
+  (q15_t)0x7939, (q15_t)0x7937, (q15_t)0x7935, (q15_t)0x7933, (q15_t)0x7931, (q15_t)0x792f, (q15_t)0x792d, (q15_t)0x792b,
+  (q15_t)0x7929, (q15_t)0x7927, (q15_t)0x7925, (q15_t)0x7923, (q15_t)0x7921, (q15_t)0x791f, (q15_t)0x791d, (q15_t)0x791a,
+  (q15_t)0x7918, (q15_t)0x7916, (q15_t)0x7914, (q15_t)0x7912, (q15_t)0x7910, (q15_t)0x790e, (q15_t)0x790c, (q15_t)0x790a,
+  (q15_t)0x7908, (q15_t)0x7906, (q15_t)0x7904, (q15_t)0x7902, (q15_t)0x7900, (q15_t)0x78fe, (q15_t)0x78fc, (q15_t)0x78fa,
+  (q15_t)0x78f8, (q15_t)0x78f6, (q15_t)0x78f4, (q15_t)0x78f2, (q15_t)0x78f0, (q15_t)0x78ed, (q15_t)0x78eb, (q15_t)0x78e9,
+  (q15_t)0x78e7, (q15_t)0x78e5, (q15_t)0x78e3, (q15_t)0x78e1, (q15_t)0x78df, (q15_t)0x78dd, (q15_t)0x78db, (q15_t)0x78d9,
+  (q15_t)0x78d7, (q15_t)0x78d5, (q15_t)0x78d3, (q15_t)0x78d1, (q15_t)0x78ce, (q15_t)0x78cc, (q15_t)0x78ca, (q15_t)0x78c8,
+  (q15_t)0x78c6, (q15_t)0x78c4, (q15_t)0x78c2, (q15_t)0x78c0, (q15_t)0x78be, (q15_t)0x78bc, (q15_t)0x78ba, (q15_t)0x78b8,
+  (q15_t)0x78b5, (q15_t)0x78b3, (q15_t)0x78b1, (q15_t)0x78af, (q15_t)0x78ad, (q15_t)0x78ab, (q15_t)0x78a9, (q15_t)0x78a7,
+  (q15_t)0x78a5, (q15_t)0x78a3, (q15_t)0x78a0, (q15_t)0x789e, (q15_t)0x789c, (q15_t)0x789a, (q15_t)0x7898, (q15_t)0x7896,
+  (q15_t)0x7894, (q15_t)0x7892, (q15_t)0x7890, (q15_t)0x788e, (q15_t)0x788b, (q15_t)0x7889, (q15_t)0x7887, (q15_t)0x7885,
+  (q15_t)0x7883, (q15_t)0x7881, (q15_t)0x787f, (q15_t)0x787d, (q15_t)0x787a, (q15_t)0x7878, (q15_t)0x7876, (q15_t)0x7874,
+  (q15_t)0x7872, (q15_t)0x7870, (q15_t)0x786e, (q15_t)0x786c, (q15_t)0x7869, (q15_t)0x7867, (q15_t)0x7865, (q15_t)0x7863,
+  (q15_t)0x7861, (q15_t)0x785f, (q15_t)0x785d, (q15_t)0x785b, (q15_t)0x7858, (q15_t)0x7856, (q15_t)0x7854, (q15_t)0x7852,
+  (q15_t)0x7850, (q15_t)0x784e, (q15_t)0x784c, (q15_t)0x7849, (q15_t)0x7847, (q15_t)0x7845, (q15_t)0x7843, (q15_t)0x7841,
+  (q15_t)0x783f, (q15_t)0x783c, (q15_t)0x783a, (q15_t)0x7838, (q15_t)0x7836, (q15_t)0x7834, (q15_t)0x7832, (q15_t)0x7830,
+  (q15_t)0x782d, (q15_t)0x782b, (q15_t)0x7829, (q15_t)0x7827, (q15_t)0x7825, (q15_t)0x7823, (q15_t)0x7820, (q15_t)0x781e,
+  (q15_t)0x781c, (q15_t)0x781a, (q15_t)0x7818, (q15_t)0x7816, (q15_t)0x7813, (q15_t)0x7811, (q15_t)0x780f, (q15_t)0x780d,
+  (q15_t)0x780b, (q15_t)0x7808, (q15_t)0x7806, (q15_t)0x7804, (q15_t)0x7802, (q15_t)0x7800, (q15_t)0x77fe, (q15_t)0x77fb,
+  (q15_t)0x77f9, (q15_t)0x77f7, (q15_t)0x77f5, (q15_t)0x77f3, (q15_t)0x77f0, (q15_t)0x77ee, (q15_t)0x77ec, (q15_t)0x77ea,
+  (q15_t)0x77e8, (q15_t)0x77e5, (q15_t)0x77e3, (q15_t)0x77e1, (q15_t)0x77df, (q15_t)0x77dd, (q15_t)0x77da, (q15_t)0x77d8,
+  (q15_t)0x77d6, (q15_t)0x77d4, (q15_t)0x77d2, (q15_t)0x77cf, (q15_t)0x77cd, (q15_t)0x77cb, (q15_t)0x77c9, (q15_t)0x77c6,
+  (q15_t)0x77c4, (q15_t)0x77c2, (q15_t)0x77c0, (q15_t)0x77be, (q15_t)0x77bb, (q15_t)0x77b9, (q15_t)0x77b7, (q15_t)0x77b5,
+  (q15_t)0x77b2, (q15_t)0x77b0, (q15_t)0x77ae, (q15_t)0x77ac, (q15_t)0x77aa, (q15_t)0x77a7, (q15_t)0x77a5, (q15_t)0x77a3,
+  (q15_t)0x77a1, (q15_t)0x779e, (q15_t)0x779c, (q15_t)0x779a, (q15_t)0x7798, (q15_t)0x7795, (q15_t)0x7793, (q15_t)0x7791,
+  (q15_t)0x778f, (q15_t)0x778c, (q15_t)0x778a, (q15_t)0x7788, (q15_t)0x7786, (q15_t)0x7783, (q15_t)0x7781, (q15_t)0x777f,
+  (q15_t)0x777d, (q15_t)0x777a, (q15_t)0x7778, (q15_t)0x7776, (q15_t)0x7774, (q15_t)0x7771, (q15_t)0x776f, (q15_t)0x776d,
+  (q15_t)0x776b, (q15_t)0x7768, (q15_t)0x7766, (q15_t)0x7764, (q15_t)0x7762, (q15_t)0x775f, (q15_t)0x775d, (q15_t)0x775b,
+  (q15_t)0x7759, (q15_t)0x7756, (q15_t)0x7754, (q15_t)0x7752, (q15_t)0x774f, (q15_t)0x774d, (q15_t)0x774b, (q15_t)0x7749,
+  (q15_t)0x7746, (q15_t)0x7744, (q15_t)0x7742, (q15_t)0x773f, (q15_t)0x773d, (q15_t)0x773b, (q15_t)0x7739, (q15_t)0x7736,
+  (q15_t)0x7734, (q15_t)0x7732, (q15_t)0x772f, (q15_t)0x772d, (q15_t)0x772b, (q15_t)0x7729, (q15_t)0x7726, (q15_t)0x7724,
+  (q15_t)0x7722, (q15_t)0x771f, (q15_t)0x771d, (q15_t)0x771b, (q15_t)0x7719, (q15_t)0x7716, (q15_t)0x7714, (q15_t)0x7712,
+  (q15_t)0x770f, (q15_t)0x770d, (q15_t)0x770b, (q15_t)0x7708, (q15_t)0x7706, (q15_t)0x7704, (q15_t)0x7701, (q15_t)0x76ff,
+  (q15_t)0x76fd, (q15_t)0x76fa, (q15_t)0x76f8, (q15_t)0x76f6, (q15_t)0x76f4, (q15_t)0x76f1, (q15_t)0x76ef, (q15_t)0x76ed,
+  (q15_t)0x76ea, (q15_t)0x76e8, (q15_t)0x76e6, (q15_t)0x76e3, (q15_t)0x76e1, (q15_t)0x76df, (q15_t)0x76dc, (q15_t)0x76da,
+  (q15_t)0x76d8, (q15_t)0x76d5, (q15_t)0x76d3, (q15_t)0x76d1, (q15_t)0x76ce, (q15_t)0x76cc, (q15_t)0x76ca, (q15_t)0x76c7,
+  (q15_t)0x76c5, (q15_t)0x76c3, (q15_t)0x76c0, (q15_t)0x76be, (q15_t)0x76bc, (q15_t)0x76b9, (q15_t)0x76b7, (q15_t)0x76b4,
+  (q15_t)0x76b2, (q15_t)0x76b0, (q15_t)0x76ad, (q15_t)0x76ab, (q15_t)0x76a9, (q15_t)0x76a6, (q15_t)0x76a4, (q15_t)0x76a2,
+  (q15_t)0x769f, (q15_t)0x769d, (q15_t)0x769b, (q15_t)0x7698, (q15_t)0x7696, (q15_t)0x7693, (q15_t)0x7691, (q15_t)0x768f,
+  (q15_t)0x768c, (q15_t)0x768a, (q15_t)0x7688, (q15_t)0x7685, (q15_t)0x7683, (q15_t)0x7681, (q15_t)0x767e, (q15_t)0x767c,
+  (q15_t)0x7679, (q15_t)0x7677, (q15_t)0x7675, (q15_t)0x7672, (q15_t)0x7670, (q15_t)0x766d, (q15_t)0x766b, (q15_t)0x7669,
+  (q15_t)0x7666, (q15_t)0x7664, (q15_t)0x7662, (q15_t)0x765f, (q15_t)0x765d, (q15_t)0x765a, (q15_t)0x7658, (q15_t)0x7656,
+  (q15_t)0x7653, (q15_t)0x7651, (q15_t)0x764e, (q15_t)0x764c, (q15_t)0x764a, (q15_t)0x7647, (q15_t)0x7645, (q15_t)0x7642,
+  (q15_t)0x7640, (q15_t)0x763e, (q15_t)0x763b, (q15_t)0x7639, (q15_t)0x7636, (q15_t)0x7634, (q15_t)0x7632, (q15_t)0x762f,
+  (q15_t)0x762d, (q15_t)0x762a, (q15_t)0x7628, (q15_t)0x7625, (q15_t)0x7623, (q15_t)0x7621, (q15_t)0x761e, (q15_t)0x761c,
+  (q15_t)0x7619, (q15_t)0x7617, (q15_t)0x7615, (q15_t)0x7612, (q15_t)0x7610, (q15_t)0x760d, (q15_t)0x760b, (q15_t)0x7608,
+  (q15_t)0x7606, (q15_t)0x7604, (q15_t)0x7601, (q15_t)0x75ff, (q15_t)0x75fc, (q15_t)0x75fa, (q15_t)0x75f7, (q15_t)0x75f5,
+  (q15_t)0x75f2, (q15_t)0x75f0, (q15_t)0x75ee, (q15_t)0x75eb, (q15_t)0x75e9, (q15_t)0x75e6, (q15_t)0x75e4, (q15_t)0x75e1,
+  (q15_t)0x75df, (q15_t)0x75dc, (q15_t)0x75da, (q15_t)0x75d8, (q15_t)0x75d5, (q15_t)0x75d3, (q15_t)0x75d0, (q15_t)0x75ce,
+  (q15_t)0x75cb, (q15_t)0x75c9, (q15_t)0x75c6, (q15_t)0x75c4, (q15_t)0x75c1, (q15_t)0x75bf, (q15_t)0x75bc, (q15_t)0x75ba,
+  (q15_t)0x75b8, (q15_t)0x75b5, (q15_t)0x75b3, (q15_t)0x75b0, (q15_t)0x75ae, (q15_t)0x75ab, (q15_t)0x75a9, (q15_t)0x75a6,
+  (q15_t)0x75a4, (q15_t)0x75a1, (q15_t)0x759f, (q15_t)0x759c, (q15_t)0x759a, (q15_t)0x7597, (q15_t)0x7595, (q15_t)0x7592,
+  (q15_t)0x7590, (q15_t)0x758d, (q15_t)0x758b, (q15_t)0x7588, (q15_t)0x7586, (q15_t)0x7584, (q15_t)0x7581, (q15_t)0x757f,
+  (q15_t)0x757c, (q15_t)0x757a, (q15_t)0x7577, (q15_t)0x7575, (q15_t)0x7572, (q15_t)0x7570, (q15_t)0x756d, (q15_t)0x756b,
+  (q15_t)0x7568, (q15_t)0x7566, (q15_t)0x7563, (q15_t)0x7561, (q15_t)0x755e, (q15_t)0x755c, (q15_t)0x7559, (q15_t)0x7556,
+  (q15_t)0x7554, (q15_t)0x7551, (q15_t)0x754f, (q15_t)0x754c, (q15_t)0x754a, (q15_t)0x7547, (q15_t)0x7545, (q15_t)0x7542,
+  (q15_t)0x7540, (q15_t)0x753d, (q15_t)0x753b, (q15_t)0x7538, (q15_t)0x7536, (q15_t)0x7533, (q15_t)0x7531, (q15_t)0x752e,
+  (q15_t)0x752c, (q15_t)0x7529, (q15_t)0x7527, (q15_t)0x7524, (q15_t)0x7522, (q15_t)0x751f, (q15_t)0x751c, (q15_t)0x751a,
+  (q15_t)0x7517, (q15_t)0x7515, (q15_t)0x7512, (q15_t)0x7510, (q15_t)0x750d, (q15_t)0x750b, (q15_t)0x7508, (q15_t)0x7506,
+  (q15_t)0x7503, (q15_t)0x7501, (q15_t)0x74fe, (q15_t)0x74fb, (q15_t)0x74f9, (q15_t)0x74f6, (q15_t)0x74f4, (q15_t)0x74f1,
+  (q15_t)0x74ef, (q15_t)0x74ec, (q15_t)0x74ea, (q15_t)0x74e7, (q15_t)0x74e4, (q15_t)0x74e2, (q15_t)0x74df, (q15_t)0x74dd,
+  (q15_t)0x74da, (q15_t)0x74d8, (q15_t)0x74d5, (q15_t)0x74d2, (q15_t)0x74d0, (q15_t)0x74cd, (q15_t)0x74cb, (q15_t)0x74c8,
+  (q15_t)0x74c6, (q15_t)0x74c3, (q15_t)0x74c0, (q15_t)0x74be, (q15_t)0x74bb, (q15_t)0x74b9, (q15_t)0x74b6, (q15_t)0x74b4,
+  (q15_t)0x74b1, (q15_t)0x74ae, (q15_t)0x74ac, (q15_t)0x74a9, (q15_t)0x74a7, (q15_t)0x74a4, (q15_t)0x74a1, (q15_t)0x749f,
+  (q15_t)0x749c, (q15_t)0x749a, (q15_t)0x7497, (q15_t)0x7495, (q15_t)0x7492, (q15_t)0x748f, (q15_t)0x748d, (q15_t)0x748a,
+  (q15_t)0x7488, (q15_t)0x7485, (q15_t)0x7482, (q15_t)0x7480, (q15_t)0x747d, (q15_t)0x747b, (q15_t)0x7478, (q15_t)0x7475,
+  (q15_t)0x7473, (q15_t)0x7470, (q15_t)0x746d, (q15_t)0x746b, (q15_t)0x7468, (q15_t)0x7466, (q15_t)0x7463, (q15_t)0x7460,
+  (q15_t)0x745e, (q15_t)0x745b, (q15_t)0x7459, (q15_t)0x7456, (q15_t)0x7453, (q15_t)0x7451, (q15_t)0x744e, (q15_t)0x744b,
+  (q15_t)0x7449, (q15_t)0x7446, (q15_t)0x7444, (q15_t)0x7441, (q15_t)0x743e, (q15_t)0x743c, (q15_t)0x7439, (q15_t)0x7436,
+  (q15_t)0x7434, (q15_t)0x7431, (q15_t)0x742f, (q15_t)0x742c, (q15_t)0x7429, (q15_t)0x7427, (q15_t)0x7424, (q15_t)0x7421,
+  (q15_t)0x741f, (q15_t)0x741c, (q15_t)0x7419, (q15_t)0x7417, (q15_t)0x7414, (q15_t)0x7411, (q15_t)0x740f, (q15_t)0x740c,
+  (q15_t)0x740a, (q15_t)0x7407, (q15_t)0x7404, (q15_t)0x7402, (q15_t)0x73ff, (q15_t)0x73fc, (q15_t)0x73fa, (q15_t)0x73f7,
+  (q15_t)0x73f4, (q15_t)0x73f2, (q15_t)0x73ef, (q15_t)0x73ec, (q15_t)0x73ea, (q15_t)0x73e7, (q15_t)0x73e4, (q15_t)0x73e2,
+  (q15_t)0x73df, (q15_t)0x73dc, (q15_t)0x73da, (q15_t)0x73d7, (q15_t)0x73d4, (q15_t)0x73d2, (q15_t)0x73cf, (q15_t)0x73cc,
+  (q15_t)0x73ca, (q15_t)0x73c7, (q15_t)0x73c4, (q15_t)0x73c1, (q15_t)0x73bf, (q15_t)0x73bc, (q15_t)0x73b9, (q15_t)0x73b7,
+  (q15_t)0x73b4, (q15_t)0x73b1, (q15_t)0x73af, (q15_t)0x73ac, (q15_t)0x73a9, (q15_t)0x73a7, (q15_t)0x73a4, (q15_t)0x73a1,
+  (q15_t)0x739f, (q15_t)0x739c, (q15_t)0x7399, (q15_t)0x7396, (q15_t)0x7394, (q15_t)0x7391, (q15_t)0x738e, (q15_t)0x738c,
+  (q15_t)0x7389, (q15_t)0x7386, (q15_t)0x7384, (q15_t)0x7381, (q15_t)0x737e, (q15_t)0x737b, (q15_t)0x7379, (q15_t)0x7376,
+  (q15_t)0x7373, (q15_t)0x7371, (q15_t)0x736e, (q15_t)0x736b, (q15_t)0x7368, (q15_t)0x7366, (q15_t)0x7363, (q15_t)0x7360,
+  (q15_t)0x735e, (q15_t)0x735b, (q15_t)0x7358, (q15_t)0x7355, (q15_t)0x7353, (q15_t)0x7350, (q15_t)0x734d, (q15_t)0x734a,
+  (q15_t)0x7348, (q15_t)0x7345, (q15_t)0x7342, (q15_t)0x7340, (q15_t)0x733d, (q15_t)0x733a, (q15_t)0x7337, (q15_t)0x7335,
+  (q15_t)0x7332, (q15_t)0x732f, (q15_t)0x732c, (q15_t)0x732a, (q15_t)0x7327, (q15_t)0x7324, (q15_t)0x7321, (q15_t)0x731f,
+  (q15_t)0x731c, (q15_t)0x7319, (q15_t)0x7316, (q15_t)0x7314, (q15_t)0x7311, (q15_t)0x730e, (q15_t)0x730b, (q15_t)0x7309,
+  (q15_t)0x7306, (q15_t)0x7303, (q15_t)0x7300, (q15_t)0x72fe, (q15_t)0x72fb, (q15_t)0x72f8, (q15_t)0x72f5, (q15_t)0x72f3,
+  (q15_t)0x72f0, (q15_t)0x72ed, (q15_t)0x72ea, (q15_t)0x72e8, (q15_t)0x72e5, (q15_t)0x72e2, (q15_t)0x72df, (q15_t)0x72dc,
+  (q15_t)0x72da, (q15_t)0x72d7, (q15_t)0x72d4, (q15_t)0x72d1, (q15_t)0x72cf, (q15_t)0x72cc, (q15_t)0x72c9, (q15_t)0x72c6,
+  (q15_t)0x72c3, (q15_t)0x72c1, (q15_t)0x72be, (q15_t)0x72bb, (q15_t)0x72b8, (q15_t)0x72b5, (q15_t)0x72b3, (q15_t)0x72b0,
+  (q15_t)0x72ad, (q15_t)0x72aa, (q15_t)0x72a8, (q15_t)0x72a5, (q15_t)0x72a2, (q15_t)0x729f, (q15_t)0x729c, (q15_t)0x729a,
+  (q15_t)0x7297, (q15_t)0x7294, (q15_t)0x7291, (q15_t)0x728e, (q15_t)0x728c, (q15_t)0x7289, (q15_t)0x7286, (q15_t)0x7283,
+  (q15_t)0x7280, (q15_t)0x727e, (q15_t)0x727b, (q15_t)0x7278, (q15_t)0x7275, (q15_t)0x7272, (q15_t)0x726f, (q15_t)0x726d,
+  (q15_t)0x726a, (q15_t)0x7267, (q15_t)0x7264, (q15_t)0x7261, (q15_t)0x725f, (q15_t)0x725c, (q15_t)0x7259, (q15_t)0x7256,
+  (q15_t)0x7253, (q15_t)0x7250, (q15_t)0x724e, (q15_t)0x724b, (q15_t)0x7248, (q15_t)0x7245, (q15_t)0x7242, (q15_t)0x723f,
+  (q15_t)0x723d, (q15_t)0x723a, (q15_t)0x7237, (q15_t)0x7234, (q15_t)0x7231, (q15_t)0x722e, (q15_t)0x722c, (q15_t)0x7229,
+  (q15_t)0x7226, (q15_t)0x7223, (q15_t)0x7220, (q15_t)0x721d, (q15_t)0x721b, (q15_t)0x7218, (q15_t)0x7215, (q15_t)0x7212,
+  (q15_t)0x720f, (q15_t)0x720c, (q15_t)0x7209, (q15_t)0x7207, (q15_t)0x7204, (q15_t)0x7201, (q15_t)0x71fe, (q15_t)0x71fb,
+  (q15_t)0x71f8, (q15_t)0x71f5, (q15_t)0x71f3, (q15_t)0x71f0, (q15_t)0x71ed, (q15_t)0x71ea, (q15_t)0x71e7, (q15_t)0x71e4,
+  (q15_t)0x71e1, (q15_t)0x71df, (q15_t)0x71dc, (q15_t)0x71d9, (q15_t)0x71d6, (q15_t)0x71d3, (q15_t)0x71d0, (q15_t)0x71cd,
+  (q15_t)0x71ca, (q15_t)0x71c8, (q15_t)0x71c5, (q15_t)0x71c2, (q15_t)0x71bf, (q15_t)0x71bc, (q15_t)0x71b9, (q15_t)0x71b6,
+  (q15_t)0x71b3, (q15_t)0x71b0, (q15_t)0x71ae, (q15_t)0x71ab, (q15_t)0x71a8, (q15_t)0x71a5, (q15_t)0x71a2, (q15_t)0x719f,
+  (q15_t)0x719c, (q15_t)0x7199, (q15_t)0x7196, (q15_t)0x7194, (q15_t)0x7191, (q15_t)0x718e, (q15_t)0x718b, (q15_t)0x7188,
+  (q15_t)0x7185, (q15_t)0x7182, (q15_t)0x717f, (q15_t)0x717c, (q15_t)0x7179, (q15_t)0x7177, (q15_t)0x7174, (q15_t)0x7171,
+  (q15_t)0x716e, (q15_t)0x716b, (q15_t)0x7168, (q15_t)0x7165, (q15_t)0x7162, (q15_t)0x715f, (q15_t)0x715c, (q15_t)0x7159,
+  (q15_t)0x7156, (q15_t)0x7154, (q15_t)0x7151, (q15_t)0x714e, (q15_t)0x714b, (q15_t)0x7148, (q15_t)0x7145, (q15_t)0x7142,
+  (q15_t)0x713f, (q15_t)0x713c, (q15_t)0x7139, (q15_t)0x7136, (q15_t)0x7133, (q15_t)0x7130, (q15_t)0x712d, (q15_t)0x712b,
+  (q15_t)0x7128, (q15_t)0x7125, (q15_t)0x7122, (q15_t)0x711f, (q15_t)0x711c, (q15_t)0x7119, (q15_t)0x7116, (q15_t)0x7113,
+  (q15_t)0x7110, (q15_t)0x710d, (q15_t)0x710a, (q15_t)0x7107, (q15_t)0x7104, (q15_t)0x7101, (q15_t)0x70fe, (q15_t)0x70fb,
+  (q15_t)0x70f8, (q15_t)0x70f6, (q15_t)0x70f3, (q15_t)0x70f0, (q15_t)0x70ed, (q15_t)0x70ea, (q15_t)0x70e7, (q15_t)0x70e4,
+  (q15_t)0x70e1, (q15_t)0x70de, (q15_t)0x70db, (q15_t)0x70d8, (q15_t)0x70d5, (q15_t)0x70d2, (q15_t)0x70cf, (q15_t)0x70cc,
+  (q15_t)0x70c9, (q15_t)0x70c6, (q15_t)0x70c3, (q15_t)0x70c0, (q15_t)0x70bd, (q15_t)0x70ba, (q15_t)0x70b7, (q15_t)0x70b4,
+  (q15_t)0x70b1, (q15_t)0x70ae, (q15_t)0x70ab, (q15_t)0x70a8, (q15_t)0x70a5, (q15_t)0x70a2, (q15_t)0x709f, (q15_t)0x709c,
+  (q15_t)0x7099, (q15_t)0x7096, (q15_t)0x7093, (q15_t)0x7090, (q15_t)0x708d, (q15_t)0x708a, (q15_t)0x7087, (q15_t)0x7084,
+  (q15_t)0x7081, (q15_t)0x707e, (q15_t)0x707b, (q15_t)0x7078, (q15_t)0x7075, (q15_t)0x7072, (q15_t)0x706f, (q15_t)0x706c,
+  (q15_t)0x7069, (q15_t)0x7066, (q15_t)0x7063, (q15_t)0x7060, (q15_t)0x705d, (q15_t)0x705a, (q15_t)0x7057, (q15_t)0x7054,
+  (q15_t)0x7051, (q15_t)0x704e, (q15_t)0x704b, (q15_t)0x7048, (q15_t)0x7045, (q15_t)0x7042, (q15_t)0x703f, (q15_t)0x703c,
+  (q15_t)0x7039, (q15_t)0x7036, (q15_t)0x7033, (q15_t)0x7030, (q15_t)0x702d, (q15_t)0x702a, (q15_t)0x7027, (q15_t)0x7024,
+  (q15_t)0x7021, (q15_t)0x701e, (q15_t)0x701b, (q15_t)0x7018, (q15_t)0x7015, (q15_t)0x7012, (q15_t)0x700f, (q15_t)0x700c,
+  (q15_t)0x7009, (q15_t)0x7006, (q15_t)0x7003, (q15_t)0x7000, (q15_t)0x6ffd, (q15_t)0x6ffa, (q15_t)0x6ff7, (q15_t)0x6ff3,
+  (q15_t)0x6ff0, (q15_t)0x6fed, (q15_t)0x6fea, (q15_t)0x6fe7, (q15_t)0x6fe4, (q15_t)0x6fe1, (q15_t)0x6fde, (q15_t)0x6fdb,
+  (q15_t)0x6fd8, (q15_t)0x6fd5, (q15_t)0x6fd2, (q15_t)0x6fcf, (q15_t)0x6fcc, (q15_t)0x6fc9, (q15_t)0x6fc6, (q15_t)0x6fc3,
+  (q15_t)0x6fc0, (q15_t)0x6fbc, (q15_t)0x6fb9, (q15_t)0x6fb6, (q15_t)0x6fb3, (q15_t)0x6fb0, (q15_t)0x6fad, (q15_t)0x6faa,
+  (q15_t)0x6fa7, (q15_t)0x6fa4, (q15_t)0x6fa1, (q15_t)0x6f9e, (q15_t)0x6f9b, (q15_t)0x6f98, (q15_t)0x6f95, (q15_t)0x6f91,
+  (q15_t)0x6f8e, (q15_t)0x6f8b, (q15_t)0x6f88, (q15_t)0x6f85, (q15_t)0x6f82, (q15_t)0x6f7f, (q15_t)0x6f7c, (q15_t)0x6f79,
+  (q15_t)0x6f76, (q15_t)0x6f73, (q15_t)0x6f70, (q15_t)0x6f6c, (q15_t)0x6f69, (q15_t)0x6f66, (q15_t)0x6f63, (q15_t)0x6f60,
+  (q15_t)0x6f5d, (q15_t)0x6f5a, (q15_t)0x6f57, (q15_t)0x6f54, (q15_t)0x6f51, (q15_t)0x6f4d, (q15_t)0x6f4a, (q15_t)0x6f47,
+  (q15_t)0x6f44, (q15_t)0x6f41, (q15_t)0x6f3e, (q15_t)0x6f3b, (q15_t)0x6f38, (q15_t)0x6f35, (q15_t)0x6f31, (q15_t)0x6f2e,
+  (q15_t)0x6f2b, (q15_t)0x6f28, (q15_t)0x6f25, (q15_t)0x6f22, (q15_t)0x6f1f, (q15_t)0x6f1c, (q15_t)0x6f19, (q15_t)0x6f15,
+  (q15_t)0x6f12, (q15_t)0x6f0f, (q15_t)0x6f0c, (q15_t)0x6f09, (q15_t)0x6f06, (q15_t)0x6f03, (q15_t)0x6f00, (q15_t)0x6efc,
+  (q15_t)0x6ef9, (q15_t)0x6ef6, (q15_t)0x6ef3, (q15_t)0x6ef0, (q15_t)0x6eed, (q15_t)0x6eea, (q15_t)0x6ee7, (q15_t)0x6ee3,
+  (q15_t)0x6ee0, (q15_t)0x6edd, (q15_t)0x6eda, (q15_t)0x6ed7, (q15_t)0x6ed4, (q15_t)0x6ed1, (q15_t)0x6ecd, (q15_t)0x6eca,
+  (q15_t)0x6ec7, (q15_t)0x6ec4, (q15_t)0x6ec1, (q15_t)0x6ebe, (q15_t)0x6eba, (q15_t)0x6eb7, (q15_t)0x6eb4, (q15_t)0x6eb1,
+  (q15_t)0x6eae, (q15_t)0x6eab, (q15_t)0x6ea8, (q15_t)0x6ea4, (q15_t)0x6ea1, (q15_t)0x6e9e, (q15_t)0x6e9b, (q15_t)0x6e98,
+  (q15_t)0x6e95, (q15_t)0x6e91, (q15_t)0x6e8e, (q15_t)0x6e8b, (q15_t)0x6e88, (q15_t)0x6e85, (q15_t)0x6e82, (q15_t)0x6e7e,
+  (q15_t)0x6e7b, (q15_t)0x6e78, (q15_t)0x6e75, (q15_t)0x6e72, (q15_t)0x6e6f, (q15_t)0x6e6b, (q15_t)0x6e68, (q15_t)0x6e65,
+  (q15_t)0x6e62, (q15_t)0x6e5f, (q15_t)0x6e5b, (q15_t)0x6e58, (q15_t)0x6e55, (q15_t)0x6e52, (q15_t)0x6e4f, (q15_t)0x6e4c,
+  (q15_t)0x6e48, (q15_t)0x6e45, (q15_t)0x6e42, (q15_t)0x6e3f, (q15_t)0x6e3c, (q15_t)0x6e38, (q15_t)0x6e35, (q15_t)0x6e32,
+  (q15_t)0x6e2f, (q15_t)0x6e2c, (q15_t)0x6e28, (q15_t)0x6e25, (q15_t)0x6e22, (q15_t)0x6e1f, (q15_t)0x6e1c, (q15_t)0x6e18,
+  (q15_t)0x6e15, (q15_t)0x6e12, (q15_t)0x6e0f, (q15_t)0x6e0c, (q15_t)0x6e08, (q15_t)0x6e05, (q15_t)0x6e02, (q15_t)0x6dff,
+  (q15_t)0x6dfb, (q15_t)0x6df8, (q15_t)0x6df5, (q15_t)0x6df2, (q15_t)0x6def, (q15_t)0x6deb, (q15_t)0x6de8, (q15_t)0x6de5,
+  (q15_t)0x6de2, (q15_t)0x6ddf, (q15_t)0x6ddb, (q15_t)0x6dd8, (q15_t)0x6dd5, (q15_t)0x6dd2, (q15_t)0x6dce, (q15_t)0x6dcb,
+  (q15_t)0x6dc8, (q15_t)0x6dc5, (q15_t)0x6dc1, (q15_t)0x6dbe, (q15_t)0x6dbb, (q15_t)0x6db8, (q15_t)0x6db5, (q15_t)0x6db1,
+  (q15_t)0x6dae, (q15_t)0x6dab, (q15_t)0x6da8, (q15_t)0x6da4, (q15_t)0x6da1, (q15_t)0x6d9e, (q15_t)0x6d9b, (q15_t)0x6d97,
+  (q15_t)0x6d94, (q15_t)0x6d91, (q15_t)0x6d8e, (q15_t)0x6d8a, (q15_t)0x6d87, (q15_t)0x6d84, (q15_t)0x6d81, (q15_t)0x6d7d,
+  (q15_t)0x6d7a, (q15_t)0x6d77, (q15_t)0x6d74, (q15_t)0x6d70, (q15_t)0x6d6d, (q15_t)0x6d6a, (q15_t)0x6d67, (q15_t)0x6d63,
+  (q15_t)0x6d60, (q15_t)0x6d5d, (q15_t)0x6d59, (q15_t)0x6d56, (q15_t)0x6d53, (q15_t)0x6d50, (q15_t)0x6d4c, (q15_t)0x6d49,
+  (q15_t)0x6d46, (q15_t)0x6d43, (q15_t)0x6d3f, (q15_t)0x6d3c, (q15_t)0x6d39, (q15_t)0x6d36, (q15_t)0x6d32, (q15_t)0x6d2f,
+  (q15_t)0x6d2c, (q15_t)0x6d28, (q15_t)0x6d25, (q15_t)0x6d22, (q15_t)0x6d1f, (q15_t)0x6d1b, (q15_t)0x6d18, (q15_t)0x6d15,
+  (q15_t)0x6d11, (q15_t)0x6d0e, (q15_t)0x6d0b, (q15_t)0x6d08, (q15_t)0x6d04, (q15_t)0x6d01, (q15_t)0x6cfe, (q15_t)0x6cfa,
+  (q15_t)0x6cf7, (q15_t)0x6cf4, (q15_t)0x6cf0, (q15_t)0x6ced, (q15_t)0x6cea, (q15_t)0x6ce7, (q15_t)0x6ce3, (q15_t)0x6ce0,
+  (q15_t)0x6cdd, (q15_t)0x6cd9, (q15_t)0x6cd6, (q15_t)0x6cd3, (q15_t)0x6ccf, (q15_t)0x6ccc, (q15_t)0x6cc9, (q15_t)0x6cc5,
+  (q15_t)0x6cc2, (q15_t)0x6cbf, (q15_t)0x6cbc, (q15_t)0x6cb8, (q15_t)0x6cb5, (q15_t)0x6cb2, (q15_t)0x6cae, (q15_t)0x6cab,
+  (q15_t)0x6ca8, (q15_t)0x6ca4, (q15_t)0x6ca1, (q15_t)0x6c9e, (q15_t)0x6c9a, (q15_t)0x6c97, (q15_t)0x6c94, (q15_t)0x6c90,
+  (q15_t)0x6c8d, (q15_t)0x6c8a, (q15_t)0x6c86, (q15_t)0x6c83, (q15_t)0x6c80, (q15_t)0x6c7c, (q15_t)0x6c79, (q15_t)0x6c76,
+  (q15_t)0x6c72, (q15_t)0x6c6f, (q15_t)0x6c6c, (q15_t)0x6c68, (q15_t)0x6c65, (q15_t)0x6c62, (q15_t)0x6c5e, (q15_t)0x6c5b,
+  (q15_t)0x6c58, (q15_t)0x6c54, (q15_t)0x6c51, (q15_t)0x6c4e, (q15_t)0x6c4a, (q15_t)0x6c47, (q15_t)0x6c44, (q15_t)0x6c40,
+  (q15_t)0x6c3d, (q15_t)0x6c39, (q15_t)0x6c36, (q15_t)0x6c33, (q15_t)0x6c2f, (q15_t)0x6c2c, (q15_t)0x6c29, (q15_t)0x6c25,
+  (q15_t)0x6c22, (q15_t)0x6c1f, (q15_t)0x6c1b, (q15_t)0x6c18, (q15_t)0x6c15, (q15_t)0x6c11, (q15_t)0x6c0e, (q15_t)0x6c0a,
+  (q15_t)0x6c07, (q15_t)0x6c04, (q15_t)0x6c00, (q15_t)0x6bfd, (q15_t)0x6bfa, (q15_t)0x6bf6, (q15_t)0x6bf3, (q15_t)0x6bef,
+  (q15_t)0x6bec, (q15_t)0x6be9, (q15_t)0x6be5, (q15_t)0x6be2, (q15_t)0x6bdf, (q15_t)0x6bdb, (q15_t)0x6bd8, (q15_t)0x6bd4,
+  (q15_t)0x6bd1, (q15_t)0x6bce, (q15_t)0x6bca, (q15_t)0x6bc7, (q15_t)0x6bc3, (q15_t)0x6bc0, (q15_t)0x6bbd, (q15_t)0x6bb9,
+  (q15_t)0x6bb6, (q15_t)0x6bb2, (q15_t)0x6baf, (q15_t)0x6bac, (q15_t)0x6ba8, (q15_t)0x6ba5, (q15_t)0x6ba1, (q15_t)0x6b9e,
+  (q15_t)0x6b9b, (q15_t)0x6b97, (q15_t)0x6b94, (q15_t)0x6b90, (q15_t)0x6b8d, (q15_t)0x6b8a, (q15_t)0x6b86, (q15_t)0x6b83,
+  (q15_t)0x6b7f, (q15_t)0x6b7c, (q15_t)0x6b79, (q15_t)0x6b75, (q15_t)0x6b72, (q15_t)0x6b6e, (q15_t)0x6b6b, (q15_t)0x6b68,
+  (q15_t)0x6b64, (q15_t)0x6b61, (q15_t)0x6b5d, (q15_t)0x6b5a, (q15_t)0x6b56, (q15_t)0x6b53, (q15_t)0x6b50, (q15_t)0x6b4c,
+  (q15_t)0x6b49, (q15_t)0x6b45, (q15_t)0x6b42, (q15_t)0x6b3e, (q15_t)0x6b3b, (q15_t)0x6b38, (q15_t)0x6b34, (q15_t)0x6b31,
+  (q15_t)0x6b2d, (q15_t)0x6b2a, (q15_t)0x6b26, (q15_t)0x6b23, (q15_t)0x6b20, (q15_t)0x6b1c, (q15_t)0x6b19, (q15_t)0x6b15,
+  (q15_t)0x6b12, (q15_t)0x6b0e, (q15_t)0x6b0b, (q15_t)0x6b07, (q15_t)0x6b04, (q15_t)0x6b01, (q15_t)0x6afd, (q15_t)0x6afa,
+  (q15_t)0x6af6, (q15_t)0x6af3, (q15_t)0x6aef, (q15_t)0x6aec, (q15_t)0x6ae8, (q15_t)0x6ae5, (q15_t)0x6ae1, (q15_t)0x6ade,
+  (q15_t)0x6adb, (q15_t)0x6ad7, (q15_t)0x6ad4, (q15_t)0x6ad0, (q15_t)0x6acd, (q15_t)0x6ac9, (q15_t)0x6ac6, (q15_t)0x6ac2,
+  (q15_t)0x6abf, (q15_t)0x6abb, (q15_t)0x6ab8, (q15_t)0x6ab4, (q15_t)0x6ab1, (q15_t)0x6aae, (q15_t)0x6aaa, (q15_t)0x6aa7,
+  (q15_t)0x6aa3, (q15_t)0x6aa0, (q15_t)0x6a9c, (q15_t)0x6a99, (q15_t)0x6a95, (q15_t)0x6a92, (q15_t)0x6a8e, (q15_t)0x6a8b,
+  (q15_t)0x6a87, (q15_t)0x6a84, (q15_t)0x6a80, (q15_t)0x6a7d, (q15_t)0x6a79, (q15_t)0x6a76, (q15_t)0x6a72, (q15_t)0x6a6f,
+  (q15_t)0x6a6b, (q15_t)0x6a68, (q15_t)0x6a64, (q15_t)0x6a61, (q15_t)0x6a5d, (q15_t)0x6a5a, (q15_t)0x6a56, (q15_t)0x6a53,
+  (q15_t)0x6a4f, (q15_t)0x6a4c, (q15_t)0x6a48, (q15_t)0x6a45, (q15_t)0x6a41, (q15_t)0x6a3e, (q15_t)0x6a3a, (q15_t)0x6a37,
+  (q15_t)0x6a33, (q15_t)0x6a30, (q15_t)0x6a2c, (q15_t)0x6a29, (q15_t)0x6a25, (q15_t)0x6a22, (q15_t)0x6a1e, (q15_t)0x6a1b,
+  (q15_t)0x6a17, (q15_t)0x6a14, (q15_t)0x6a10, (q15_t)0x6a0d, (q15_t)0x6a09, (q15_t)0x6a06, (q15_t)0x6a02, (q15_t)0x69ff,
+  (q15_t)0x69fb, (q15_t)0x69f8, (q15_t)0x69f4, (q15_t)0x69f1, (q15_t)0x69ed, (q15_t)0x69e9, (q15_t)0x69e6, (q15_t)0x69e2,
+  (q15_t)0x69df, (q15_t)0x69db, (q15_t)0x69d8, (q15_t)0x69d4, (q15_t)0x69d1, (q15_t)0x69cd, (q15_t)0x69ca, (q15_t)0x69c6,
+  (q15_t)0x69c3, (q15_t)0x69bf, (q15_t)0x69bc, (q15_t)0x69b8, (q15_t)0x69b4, (q15_t)0x69b1, (q15_t)0x69ad, (q15_t)0x69aa,
+  (q15_t)0x69a6, (q15_t)0x69a3, (q15_t)0x699f, (q15_t)0x699c, (q15_t)0x6998, (q15_t)0x6995, (q15_t)0x6991, (q15_t)0x698d,
+  (q15_t)0x698a, (q15_t)0x6986, (q15_t)0x6983, (q15_t)0x697f, (q15_t)0x697c, (q15_t)0x6978, (q15_t)0x6975, (q15_t)0x6971,
+  (q15_t)0x696d, (q15_t)0x696a, (q15_t)0x6966, (q15_t)0x6963, (q15_t)0x695f, (q15_t)0x695c, (q15_t)0x6958, (q15_t)0x6954,
+  (q15_t)0x6951, (q15_t)0x694d, (q15_t)0x694a, (q15_t)0x6946, (q15_t)0x6943, (q15_t)0x693f, (q15_t)0x693b, (q15_t)0x6938,
+  (q15_t)0x6934, (q15_t)0x6931, (q15_t)0x692d, (q15_t)0x692a, (q15_t)0x6926, (q15_t)0x6922, (q15_t)0x691f, (q15_t)0x691b,
+  (q15_t)0x6918, (q15_t)0x6914, (q15_t)0x6910, (q15_t)0x690d, (q15_t)0x6909, (q15_t)0x6906, (q15_t)0x6902, (q15_t)0x68fe,
+  (q15_t)0x68fb, (q15_t)0x68f7, (q15_t)0x68f4, (q15_t)0x68f0, (q15_t)0x68ec, (q15_t)0x68e9, (q15_t)0x68e5, (q15_t)0x68e2,
+  (q15_t)0x68de, (q15_t)0x68da, (q15_t)0x68d7, (q15_t)0x68d3, (q15_t)0x68d0, (q15_t)0x68cc, (q15_t)0x68c8, (q15_t)0x68c5,
+  (q15_t)0x68c1, (q15_t)0x68be, (q15_t)0x68ba, (q15_t)0x68b6, (q15_t)0x68b3, (q15_t)0x68af, (q15_t)0x68ac, (q15_t)0x68a8,
+  (q15_t)0x68a4, (q15_t)0x68a1, (q15_t)0x689d, (q15_t)0x6899, (q15_t)0x6896, (q15_t)0x6892, (q15_t)0x688f, (q15_t)0x688b,
+  (q15_t)0x6887, (q15_t)0x6884, (q15_t)0x6880, (q15_t)0x687c, (q15_t)0x6879, (q15_t)0x6875, (q15_t)0x6872, (q15_t)0x686e,
+  (q15_t)0x686a, (q15_t)0x6867, (q15_t)0x6863, (q15_t)0x685f, (q15_t)0x685c, (q15_t)0x6858, (q15_t)0x6854, (q15_t)0x6851,
+  (q15_t)0x684d, (q15_t)0x684a, (q15_t)0x6846, (q15_t)0x6842, (q15_t)0x683f, (q15_t)0x683b, (q15_t)0x6837, (q15_t)0x6834,
+  (q15_t)0x6830, (q15_t)0x682c, (q15_t)0x6829, (q15_t)0x6825, (q15_t)0x6821, (q15_t)0x681e, (q15_t)0x681a, (q15_t)0x6816,
+  (q15_t)0x6813, (q15_t)0x680f, (q15_t)0x680b, (q15_t)0x6808, (q15_t)0x6804, (q15_t)0x6800, (q15_t)0x67fd, (q15_t)0x67f9,
+  (q15_t)0x67f5, (q15_t)0x67f2, (q15_t)0x67ee, (q15_t)0x67ea, (q15_t)0x67e7, (q15_t)0x67e3, (q15_t)0x67df, (q15_t)0x67dc,
+  (q15_t)0x67d8, (q15_t)0x67d4, (q15_t)0x67d1, (q15_t)0x67cd, (q15_t)0x67c9, (q15_t)0x67c6, (q15_t)0x67c2, (q15_t)0x67be,
+  (q15_t)0x67bb, (q15_t)0x67b7, (q15_t)0x67b3, (q15_t)0x67b0, (q15_t)0x67ac, (q15_t)0x67a8, (q15_t)0x67a5, (q15_t)0x67a1,
+  (q15_t)0x679d, (q15_t)0x679a, (q15_t)0x6796, (q15_t)0x6792, (q15_t)0x678e, (q15_t)0x678b, (q15_t)0x6787, (q15_t)0x6783,
+  (q15_t)0x6780, (q15_t)0x677c, (q15_t)0x6778, (q15_t)0x6775, (q15_t)0x6771, (q15_t)0x676d, (q15_t)0x6769, (q15_t)0x6766,
+  (q15_t)0x6762, (q15_t)0x675e, (q15_t)0x675b, (q15_t)0x6757, (q15_t)0x6753, (q15_t)0x6750, (q15_t)0x674c, (q15_t)0x6748,
+  (q15_t)0x6744, (q15_t)0x6741, (q15_t)0x673d, (q15_t)0x6739, (q15_t)0x6736, (q15_t)0x6732, (q15_t)0x672e, (q15_t)0x672a,
+  (q15_t)0x6727, (q15_t)0x6723, (q15_t)0x671f, (q15_t)0x671c, (q15_t)0x6718, (q15_t)0x6714, (q15_t)0x6710, (q15_t)0x670d,
+  (q15_t)0x6709, (q15_t)0x6705, (q15_t)0x6701, (q15_t)0x66fe, (q15_t)0x66fa, (q15_t)0x66f6, (q15_t)0x66f3, (q15_t)0x66ef,
+  (q15_t)0x66eb, (q15_t)0x66e7, (q15_t)0x66e4, (q15_t)0x66e0, (q15_t)0x66dc, (q15_t)0x66d8, (q15_t)0x66d5, (q15_t)0x66d1,
+  (q15_t)0x66cd, (q15_t)0x66c9, (q15_t)0x66c6, (q15_t)0x66c2, (q15_t)0x66be, (q15_t)0x66ba, (q15_t)0x66b7, (q15_t)0x66b3,
+  (q15_t)0x66af, (q15_t)0x66ab, (q15_t)0x66a8, (q15_t)0x66a4, (q15_t)0x66a0, (q15_t)0x669c, (q15_t)0x6699, (q15_t)0x6695,
+  (q15_t)0x6691, (q15_t)0x668d, (q15_t)0x668a, (q15_t)0x6686, (q15_t)0x6682, (q15_t)0x667e, (q15_t)0x667b, (q15_t)0x6677,
+  (q15_t)0x6673, (q15_t)0x666f, (q15_t)0x666b, (q15_t)0x6668, (q15_t)0x6664, (q15_t)0x6660, (q15_t)0x665c, (q15_t)0x6659,
+  (q15_t)0x6655, (q15_t)0x6651, (q15_t)0x664d, (q15_t)0x664a, (q15_t)0x6646, (q15_t)0x6642, (q15_t)0x663e, (q15_t)0x663a,
+  (q15_t)0x6637, (q15_t)0x6633, (q15_t)0x662f, (q15_t)0x662b, (q15_t)0x6627, (q15_t)0x6624, (q15_t)0x6620, (q15_t)0x661c,
+  (q15_t)0x6618, (q15_t)0x6615, (q15_t)0x6611, (q15_t)0x660d, (q15_t)0x6609, (q15_t)0x6605, (q15_t)0x6602, (q15_t)0x65fe,
+  (q15_t)0x65fa, (q15_t)0x65f6, (q15_t)0x65f2, (q15_t)0x65ef, (q15_t)0x65eb, (q15_t)0x65e7, (q15_t)0x65e3, (q15_t)0x65df,
+  (q15_t)0x65dc, (q15_t)0x65d8, (q15_t)0x65d4, (q15_t)0x65d0, (q15_t)0x65cc, (q15_t)0x65c9, (q15_t)0x65c5, (q15_t)0x65c1,
+  (q15_t)0x65bd, (q15_t)0x65b9, (q15_t)0x65b5, (q15_t)0x65b2, (q15_t)0x65ae, (q15_t)0x65aa, (q15_t)0x65a6, (q15_t)0x65a2,
+  (q15_t)0x659f, (q15_t)0x659b, (q15_t)0x6597, (q15_t)0x6593, (q15_t)0x658f, (q15_t)0x658b, (q15_t)0x6588, (q15_t)0x6584,
+  (q15_t)0x6580, (q15_t)0x657c, (q15_t)0x6578, (q15_t)0x6574, (q15_t)0x6571, (q15_t)0x656d, (q15_t)0x6569, (q15_t)0x6565,
+  (q15_t)0x6561, (q15_t)0x655d, (q15_t)0x655a, (q15_t)0x6556, (q15_t)0x6552, (q15_t)0x654e, (q15_t)0x654a, (q15_t)0x6546,
+  (q15_t)0x6543, (q15_t)0x653f, (q15_t)0x653b, (q15_t)0x6537, (q15_t)0x6533, (q15_t)0x652f, (q15_t)0x652c, (q15_t)0x6528,
+  (q15_t)0x6524, (q15_t)0x6520, (q15_t)0x651c, (q15_t)0x6518, (q15_t)0x6514, (q15_t)0x6511, (q15_t)0x650d, (q15_t)0x6509,
+  (q15_t)0x6505, (q15_t)0x6501, (q15_t)0x64fd, (q15_t)0x64f9, (q15_t)0x64f6, (q15_t)0x64f2, (q15_t)0x64ee, (q15_t)0x64ea,
+  (q15_t)0x64e6, (q15_t)0x64e2, (q15_t)0x64de, (q15_t)0x64db, (q15_t)0x64d7, (q15_t)0x64d3, (q15_t)0x64cf, (q15_t)0x64cb,
+  (q15_t)0x64c7, (q15_t)0x64c3, (q15_t)0x64bf, (q15_t)0x64bc, (q15_t)0x64b8, (q15_t)0x64b4, (q15_t)0x64b0, (q15_t)0x64ac,
+  (q15_t)0x64a8, (q15_t)0x64a4, (q15_t)0x64a0, (q15_t)0x649c, (q15_t)0x6499, (q15_t)0x6495, (q15_t)0x6491, (q15_t)0x648d,
+  (q15_t)0x6489, (q15_t)0x6485, (q15_t)0x6481, (q15_t)0x647d, (q15_t)0x6479, (q15_t)0x6476, (q15_t)0x6472, (q15_t)0x646e,
+  (q15_t)0x646a, (q15_t)0x6466, (q15_t)0x6462, (q15_t)0x645e, (q15_t)0x645a, (q15_t)0x6456, (q15_t)0x6453, (q15_t)0x644f,
+  (q15_t)0x644b, (q15_t)0x6447, (q15_t)0x6443, (q15_t)0x643f, (q15_t)0x643b, (q15_t)0x6437, (q15_t)0x6433, (q15_t)0x642f,
+  (q15_t)0x642b, (q15_t)0x6428, (q15_t)0x6424, (q15_t)0x6420, (q15_t)0x641c, (q15_t)0x6418, (q15_t)0x6414, (q15_t)0x6410,
+  (q15_t)0x640c, (q15_t)0x6408, (q15_t)0x6404, (q15_t)0x6400, (q15_t)0x63fc, (q15_t)0x63f9, (q15_t)0x63f5, (q15_t)0x63f1,
+  (q15_t)0x63ed, (q15_t)0x63e9, (q15_t)0x63e5, (q15_t)0x63e1, (q15_t)0x63dd, (q15_t)0x63d9, (q15_t)0x63d5, (q15_t)0x63d1,
+  (q15_t)0x63cd, (q15_t)0x63c9, (q15_t)0x63c5, (q15_t)0x63c1, (q15_t)0x63be, (q15_t)0x63ba, (q15_t)0x63b6, (q15_t)0x63b2,
+  (q15_t)0x63ae, (q15_t)0x63aa, (q15_t)0x63a6, (q15_t)0x63a2, (q15_t)0x639e, (q15_t)0x639a, (q15_t)0x6396, (q15_t)0x6392,
+  (q15_t)0x638e, (q15_t)0x638a, (q15_t)0x6386, (q15_t)0x6382, (q15_t)0x637e, (q15_t)0x637a, (q15_t)0x6377, (q15_t)0x6373,
+  (q15_t)0x636f, (q15_t)0x636b, (q15_t)0x6367, (q15_t)0x6363, (q15_t)0x635f, (q15_t)0x635b, (q15_t)0x6357, (q15_t)0x6353,
+  (q15_t)0x634f, (q15_t)0x634b, (q15_t)0x6347, (q15_t)0x6343, (q15_t)0x633f, (q15_t)0x633b, (q15_t)0x6337, (q15_t)0x6333,
+  (q15_t)0x632f, (q15_t)0x632b, (q15_t)0x6327, (q15_t)0x6323, (q15_t)0x631f, (q15_t)0x631b, (q15_t)0x6317, (q15_t)0x6313,
+  (q15_t)0x630f, (q15_t)0x630b, (q15_t)0x6307, (q15_t)0x6303, (q15_t)0x62ff, (q15_t)0x62fb, (q15_t)0x62f7, (q15_t)0x62f3,
+  (q15_t)0x62f0, (q15_t)0x62ec, (q15_t)0x62e8, (q15_t)0x62e4, (q15_t)0x62e0, (q15_t)0x62dc, (q15_t)0x62d8, (q15_t)0x62d4,
+  (q15_t)0x62d0, (q15_t)0x62cc, (q15_t)0x62c8, (q15_t)0x62c4, (q15_t)0x62c0, (q15_t)0x62bc, (q15_t)0x62b8, (q15_t)0x62b4,
+  (q15_t)0x62b0, (q15_t)0x62ac, (q15_t)0x62a8, (q15_t)0x62a4, (q15_t)0x62a0, (q15_t)0x629c, (q15_t)0x6298, (q15_t)0x6294,
+  (q15_t)0x6290, (q15_t)0x628c, (q15_t)0x6288, (q15_t)0x6284, (q15_t)0x6280, (q15_t)0x627c, (q15_t)0x6278, (q15_t)0x6273,
+  (q15_t)0x626f, (q15_t)0x626b, (q15_t)0x6267, (q15_t)0x6263, (q15_t)0x625f, (q15_t)0x625b, (q15_t)0x6257, (q15_t)0x6253,
+  (q15_t)0x624f, (q15_t)0x624b, (q15_t)0x6247, (q15_t)0x6243, (q15_t)0x623f, (q15_t)0x623b, (q15_t)0x6237, (q15_t)0x6233,
+  (q15_t)0x622f, (q15_t)0x622b, (q15_t)0x6227, (q15_t)0x6223, (q15_t)0x621f, (q15_t)0x621b, (q15_t)0x6217, (q15_t)0x6213,
+  (q15_t)0x620f, (q15_t)0x620b, (q15_t)0x6207, (q15_t)0x6203, (q15_t)0x61ff, (q15_t)0x61fb, (q15_t)0x61f7, (q15_t)0x61f3,
+  (q15_t)0x61ee, (q15_t)0x61ea, (q15_t)0x61e6, (q15_t)0x61e2, (q15_t)0x61de, (q15_t)0x61da, (q15_t)0x61d6, (q15_t)0x61d2,
+  (q15_t)0x61ce, (q15_t)0x61ca, (q15_t)0x61c6, (q15_t)0x61c2, (q15_t)0x61be, (q15_t)0x61ba, (q15_t)0x61b6, (q15_t)0x61b2,
+  (q15_t)0x61ae, (q15_t)0x61aa, (q15_t)0x61a6, (q15_t)0x61a1, (q15_t)0x619d, (q15_t)0x6199, (q15_t)0x6195, (q15_t)0x6191,
+  (q15_t)0x618d, (q15_t)0x6189, (q15_t)0x6185, (q15_t)0x6181, (q15_t)0x617d, (q15_t)0x6179, (q15_t)0x6175, (q15_t)0x6171,
+  (q15_t)0x616d, (q15_t)0x6168, (q15_t)0x6164, (q15_t)0x6160, (q15_t)0x615c, (q15_t)0x6158, (q15_t)0x6154, (q15_t)0x6150,
+  (q15_t)0x614c, (q15_t)0x6148, (q15_t)0x6144, (q15_t)0x6140, (q15_t)0x613c, (q15_t)0x6137, (q15_t)0x6133, (q15_t)0x612f,
+  (q15_t)0x612b, (q15_t)0x6127, (q15_t)0x6123, (q15_t)0x611f, (q15_t)0x611b, (q15_t)0x6117, (q15_t)0x6113, (q15_t)0x610f,
+  (q15_t)0x610a, (q15_t)0x6106, (q15_t)0x6102, (q15_t)0x60fe, (q15_t)0x60fa, (q15_t)0x60f6, (q15_t)0x60f2, (q15_t)0x60ee,
+  (q15_t)0x60ea, (q15_t)0x60e6, (q15_t)0x60e1, (q15_t)0x60dd, (q15_t)0x60d9, (q15_t)0x60d5, (q15_t)0x60d1, (q15_t)0x60cd,
+  (q15_t)0x60c9, (q15_t)0x60c5, (q15_t)0x60c1, (q15_t)0x60bc, (q15_t)0x60b8, (q15_t)0x60b4, (q15_t)0x60b0, (q15_t)0x60ac,
+  (q15_t)0x60a8, (q15_t)0x60a4, (q15_t)0x60a0, (q15_t)0x609c, (q15_t)0x6097, (q15_t)0x6093, (q15_t)0x608f, (q15_t)0x608b,
+  (q15_t)0x6087, (q15_t)0x6083, (q15_t)0x607f, (q15_t)0x607b, (q15_t)0x6076, (q15_t)0x6072, (q15_t)0x606e, (q15_t)0x606a,
+  (q15_t)0x6066, (q15_t)0x6062, (q15_t)0x605e, (q15_t)0x6059, (q15_t)0x6055, (q15_t)0x6051, (q15_t)0x604d, (q15_t)0x6049,
+  (q15_t)0x6045, (q15_t)0x6041, (q15_t)0x603c, (q15_t)0x6038, (q15_t)0x6034, (q15_t)0x6030, (q15_t)0x602c, (q15_t)0x6028,
+  (q15_t)0x6024, (q15_t)0x601f, (q15_t)0x601b, (q15_t)0x6017, (q15_t)0x6013, (q15_t)0x600f, (q15_t)0x600b, (q15_t)0x6007,
+  (q15_t)0x6002, (q15_t)0x5ffe, (q15_t)0x5ffa, (q15_t)0x5ff6, (q15_t)0x5ff2, (q15_t)0x5fee, (q15_t)0x5fe9, (q15_t)0x5fe5,
+  (q15_t)0x5fe1, (q15_t)0x5fdd, (q15_t)0x5fd9, (q15_t)0x5fd5, (q15_t)0x5fd0, (q15_t)0x5fcc, (q15_t)0x5fc8, (q15_t)0x5fc4,
+  (q15_t)0x5fc0, (q15_t)0x5fbc, (q15_t)0x5fb7, (q15_t)0x5fb3, (q15_t)0x5faf, (q15_t)0x5fab, (q15_t)0x5fa7, (q15_t)0x5fa3,
+  (q15_t)0x5f9e, (q15_t)0x5f9a, (q15_t)0x5f96, (q15_t)0x5f92, (q15_t)0x5f8e, (q15_t)0x5f8a, (q15_t)0x5f85, (q15_t)0x5f81,
+  (q15_t)0x5f7d, (q15_t)0x5f79, (q15_t)0x5f75, (q15_t)0x5f70, (q15_t)0x5f6c, (q15_t)0x5f68, (q15_t)0x5f64, (q15_t)0x5f60,
+  (q15_t)0x5f5b, (q15_t)0x5f57, (q15_t)0x5f53, (q15_t)0x5f4f, (q15_t)0x5f4b, (q15_t)0x5f46, (q15_t)0x5f42, (q15_t)0x5f3e,
+  (q15_t)0x5f3a, (q15_t)0x5f36, (q15_t)0x5f31, (q15_t)0x5f2d, (q15_t)0x5f29, (q15_t)0x5f25, (q15_t)0x5f21, (q15_t)0x5f1c,
+  (q15_t)0x5f18, (q15_t)0x5f14, (q15_t)0x5f10, (q15_t)0x5f0c, (q15_t)0x5f07, (q15_t)0x5f03, (q15_t)0x5eff, (q15_t)0x5efb,
+  (q15_t)0x5ef7, (q15_t)0x5ef2, (q15_t)0x5eee, (q15_t)0x5eea, (q15_t)0x5ee6, (q15_t)0x5ee2, (q15_t)0x5edd, (q15_t)0x5ed9,
+  (q15_t)0x5ed5, (q15_t)0x5ed1, (q15_t)0x5ecc, (q15_t)0x5ec8, (q15_t)0x5ec4, (q15_t)0x5ec0, (q15_t)0x5ebc, (q15_t)0x5eb7,
+  (q15_t)0x5eb3, (q15_t)0x5eaf, (q15_t)0x5eab, (q15_t)0x5ea6, (q15_t)0x5ea2, (q15_t)0x5e9e, (q15_t)0x5e9a, (q15_t)0x5e95,
+  (q15_t)0x5e91, (q15_t)0x5e8d, (q15_t)0x5e89, (q15_t)0x5e85, (q15_t)0x5e80, (q15_t)0x5e7c, (q15_t)0x5e78, (q15_t)0x5e74,
+  (q15_t)0x5e6f, (q15_t)0x5e6b, (q15_t)0x5e67, (q15_t)0x5e63, (q15_t)0x5e5e, (q15_t)0x5e5a, (q15_t)0x5e56, (q15_t)0x5e52,
+  (q15_t)0x5e4d, (q15_t)0x5e49, (q15_t)0x5e45, (q15_t)0x5e41, (q15_t)0x5e3c, (q15_t)0x5e38, (q15_t)0x5e34, (q15_t)0x5e30,
+  (q15_t)0x5e2b, (q15_t)0x5e27, (q15_t)0x5e23, (q15_t)0x5e1f, (q15_t)0x5e1a, (q15_t)0x5e16, (q15_t)0x5e12, (q15_t)0x5e0e,
+  (q15_t)0x5e09, (q15_t)0x5e05, (q15_t)0x5e01, (q15_t)0x5dfd, (q15_t)0x5df8, (q15_t)0x5df4, (q15_t)0x5df0, (q15_t)0x5deb,
+  (q15_t)0x5de7, (q15_t)0x5de3, (q15_t)0x5ddf, (q15_t)0x5dda, (q15_t)0x5dd6, (q15_t)0x5dd2, (q15_t)0x5dce, (q15_t)0x5dc9,
+  (q15_t)0x5dc5, (q15_t)0x5dc1, (q15_t)0x5dbc, (q15_t)0x5db8, (q15_t)0x5db4, (q15_t)0x5db0, (q15_t)0x5dab, (q15_t)0x5da7,
+  (q15_t)0x5da3, (q15_t)0x5d9e, (q15_t)0x5d9a, (q15_t)0x5d96, (q15_t)0x5d92, (q15_t)0x5d8d, (q15_t)0x5d89, (q15_t)0x5d85,
+  (q15_t)0x5d80, (q15_t)0x5d7c, (q15_t)0x5d78, (q15_t)0x5d74, (q15_t)0x5d6f, (q15_t)0x5d6b, (q15_t)0x5d67, (q15_t)0x5d62,
+  (q15_t)0x5d5e, (q15_t)0x5d5a, (q15_t)0x5d55, (q15_t)0x5d51, (q15_t)0x5d4d, (q15_t)0x5d49, (q15_t)0x5d44, (q15_t)0x5d40,
+  (q15_t)0x5d3c, (q15_t)0x5d37, (q15_t)0x5d33, (q15_t)0x5d2f, (q15_t)0x5d2a, (q15_t)0x5d26, (q15_t)0x5d22, (q15_t)0x5d1e,
+  (q15_t)0x5d19, (q15_t)0x5d15, (q15_t)0x5d11, (q15_t)0x5d0c, (q15_t)0x5d08, (q15_t)0x5d04, (q15_t)0x5cff, (q15_t)0x5cfb,
+  (q15_t)0x5cf7, (q15_t)0x5cf2, (q15_t)0x5cee, (q15_t)0x5cea, (q15_t)0x5ce5, (q15_t)0x5ce1, (q15_t)0x5cdd, (q15_t)0x5cd8,
+  (q15_t)0x5cd4, (q15_t)0x5cd0, (q15_t)0x5ccb, (q15_t)0x5cc7, (q15_t)0x5cc3, (q15_t)0x5cbe, (q15_t)0x5cba, (q15_t)0x5cb6,
+  (q15_t)0x5cb1, (q15_t)0x5cad, (q15_t)0x5ca9, (q15_t)0x5ca4, (q15_t)0x5ca0, (q15_t)0x5c9c, (q15_t)0x5c97, (q15_t)0x5c93,
+  (q15_t)0x5c8f, (q15_t)0x5c8a, (q15_t)0x5c86, (q15_t)0x5c82, (q15_t)0x5c7d, (q15_t)0x5c79, (q15_t)0x5c75, (q15_t)0x5c70,
+  (q15_t)0x5c6c, (q15_t)0x5c68, (q15_t)0x5c63, (q15_t)0x5c5f, (q15_t)0x5c5b, (q15_t)0x5c56, (q15_t)0x5c52, (q15_t)0x5c4e,
+  (q15_t)0x5c49, (q15_t)0x5c45, (q15_t)0x5c41, (q15_t)0x5c3c, (q15_t)0x5c38, (q15_t)0x5c33, (q15_t)0x5c2f, (q15_t)0x5c2b,
+  (q15_t)0x5c26, (q15_t)0x5c22, (q15_t)0x5c1e, (q15_t)0x5c19, (q15_t)0x5c15, (q15_t)0x5c11, (q15_t)0x5c0c, (q15_t)0x5c08,
+  (q15_t)0x5c03, (q15_t)0x5bff, (q15_t)0x5bfb, (q15_t)0x5bf6, (q15_t)0x5bf2, (q15_t)0x5bee, (q15_t)0x5be9, (q15_t)0x5be5,
+  (q15_t)0x5be0, (q15_t)0x5bdc, (q15_t)0x5bd8, (q15_t)0x5bd3, (q15_t)0x5bcf, (q15_t)0x5bcb, (q15_t)0x5bc6, (q15_t)0x5bc2,
+  (q15_t)0x5bbd, (q15_t)0x5bb9, (q15_t)0x5bb5, (q15_t)0x5bb0, (q15_t)0x5bac, (q15_t)0x5ba8, (q15_t)0x5ba3, (q15_t)0x5b9f,
+  (q15_t)0x5b9a, (q15_t)0x5b96, (q15_t)0x5b92, (q15_t)0x5b8d, (q15_t)0x5b89, (q15_t)0x5b84, (q15_t)0x5b80, (q15_t)0x5b7c,
+  (q15_t)0x5b77, (q15_t)0x5b73, (q15_t)0x5b6e, (q15_t)0x5b6a, (q15_t)0x5b66, (q15_t)0x5b61, (q15_t)0x5b5d, (q15_t)0x5b58,
+  (q15_t)0x5b54, (q15_t)0x5b50, (q15_t)0x5b4b, (q15_t)0x5b47, (q15_t)0x5b42, (q15_t)0x5b3e, (q15_t)0x5b3a, (q15_t)0x5b35,
+  (q15_t)0x5b31, (q15_t)0x5b2c, (q15_t)0x5b28, (q15_t)0x5b24, (q15_t)0x5b1f, (q15_t)0x5b1b, (q15_t)0x5b16, (q15_t)0x5b12,
+  (q15_t)0x5b0e, (q15_t)0x5b09, (q15_t)0x5b05, (q15_t)0x5b00, (q15_t)0x5afc, (q15_t)0x5af7, (q15_t)0x5af3, (q15_t)0x5aef,
+  (q15_t)0x5aea, (q15_t)0x5ae6, (q15_t)0x5ae1, (q15_t)0x5add, (q15_t)0x5ad8, (q15_t)0x5ad4, (q15_t)0x5ad0, (q15_t)0x5acb,
+  (q15_t)0x5ac7, (q15_t)0x5ac2, (q15_t)0x5abe, (q15_t)0x5ab9, (q15_t)0x5ab5, (q15_t)0x5ab1, (q15_t)0x5aac, (q15_t)0x5aa8,
+  (q15_t)0x5aa3, (q15_t)0x5a9f, (q15_t)0x5a9a, (q15_t)0x5a96, (q15_t)0x5a92, (q15_t)0x5a8d, (q15_t)0x5a89, (q15_t)0x5a84,
+  (q15_t)0x5a80, (q15_t)0x5a7b, (q15_t)0x5a77, (q15_t)0x5a72, (q15_t)0x5a6e, (q15_t)0x5a6a, (q15_t)0x5a65, (q15_t)0x5a61,
+  (q15_t)0x5a5c, (q15_t)0x5a58, (q15_t)0x5a53, (q15_t)0x5a4f, (q15_t)0x5a4a, (q15_t)0x5a46, (q15_t)0x5a41, (q15_t)0x5a3d,
+  (q15_t)0x5a39, (q15_t)0x5a34, (q15_t)0x5a30, (q15_t)0x5a2b, (q15_t)0x5a27, (q15_t)0x5a22, (q15_t)0x5a1e, (q15_t)0x5a19,
+  (q15_t)0x5a15, (q15_t)0x5a10, (q15_t)0x5a0c, (q15_t)0x5a07, (q15_t)0x5a03, (q15_t)0x59ff, (q15_t)0x59fa, (q15_t)0x59f6,
+  (q15_t)0x59f1, (q15_t)0x59ed, (q15_t)0x59e8, (q15_t)0x59e4, (q15_t)0x59df, (q15_t)0x59db, (q15_t)0x59d6, (q15_t)0x59d2,
+  (q15_t)0x59cd, (q15_t)0x59c9, (q15_t)0x59c4, (q15_t)0x59c0, (q15_t)0x59bb, (q15_t)0x59b7, (q15_t)0x59b2, (q15_t)0x59ae,
+  (q15_t)0x59a9, (q15_t)0x59a5, (q15_t)0x59a1, (q15_t)0x599c, (q15_t)0x5998, (q15_t)0x5993, (q15_t)0x598f, (q15_t)0x598a,
+  (q15_t)0x5986, (q15_t)0x5981, (q15_t)0x597d, (q15_t)0x5978, (q15_t)0x5974, (q15_t)0x596f, (q15_t)0x596b, (q15_t)0x5966,
+  (q15_t)0x5962, (q15_t)0x595d, (q15_t)0x5959, (q15_t)0x5954, (q15_t)0x5950, (q15_t)0x594b, (q15_t)0x5947, (q15_t)0x5942,
+  (q15_t)0x593e, (q15_t)0x5939, (q15_t)0x5935, (q15_t)0x5930, (q15_t)0x592c, (q15_t)0x5927, (q15_t)0x5923, (q15_t)0x591e,
+  (q15_t)0x591a, (q15_t)0x5915, (q15_t)0x5911, (q15_t)0x590c, (q15_t)0x5908, (q15_t)0x5903, (q15_t)0x58fe, (q15_t)0x58fa,
+  (q15_t)0x58f5, (q15_t)0x58f1, (q15_t)0x58ec, (q15_t)0x58e8, (q15_t)0x58e3, (q15_t)0x58df, (q15_t)0x58da, (q15_t)0x58d6,
+  (q15_t)0x58d1, (q15_t)0x58cd, (q15_t)0x58c8, (q15_t)0x58c4, (q15_t)0x58bf, (q15_t)0x58bb, (q15_t)0x58b6, (q15_t)0x58b2,
+  (q15_t)0x58ad, (q15_t)0x58a9, (q15_t)0x58a4, (q15_t)0x589f, (q15_t)0x589b, (q15_t)0x5896, (q15_t)0x5892, (q15_t)0x588d,
+  (q15_t)0x5889, (q15_t)0x5884, (q15_t)0x5880, (q15_t)0x587b, (q15_t)0x5877, (q15_t)0x5872, (q15_t)0x586e, (q15_t)0x5869,
+  (q15_t)0x5864, (q15_t)0x5860, (q15_t)0x585b, (q15_t)0x5857, (q15_t)0x5852, (q15_t)0x584e, (q15_t)0x5849, (q15_t)0x5845,
+  (q15_t)0x5840, (q15_t)0x583c, (q15_t)0x5837, (q15_t)0x5832, (q15_t)0x582e, (q15_t)0x5829, (q15_t)0x5825, (q15_t)0x5820,
+  (q15_t)0x581c, (q15_t)0x5817, (q15_t)0x5813, (q15_t)0x580e, (q15_t)0x5809, (q15_t)0x5805, (q15_t)0x5800, (q15_t)0x57fc,
+  (q15_t)0x57f7, (q15_t)0x57f3, (q15_t)0x57ee, (q15_t)0x57e9, (q15_t)0x57e5, (q15_t)0x57e0, (q15_t)0x57dc, (q15_t)0x57d7,
+  (q15_t)0x57d3, (q15_t)0x57ce, (q15_t)0x57c9, (q15_t)0x57c5, (q15_t)0x57c0, (q15_t)0x57bc, (q15_t)0x57b7, (q15_t)0x57b3,
+  (q15_t)0x57ae, (q15_t)0x57a9, (q15_t)0x57a5, (q15_t)0x57a0, (q15_t)0x579c, (q15_t)0x5797, (q15_t)0x5793, (q15_t)0x578e,
+  (q15_t)0x5789, (q15_t)0x5785, (q15_t)0x5780, (q15_t)0x577c, (q15_t)0x5777, (q15_t)0x5772, (q15_t)0x576e, (q15_t)0x5769,
+  (q15_t)0x5765, (q15_t)0x5760, (q15_t)0x575c, (q15_t)0x5757, (q15_t)0x5752, (q15_t)0x574e, (q15_t)0x5749, (q15_t)0x5745,
+  (q15_t)0x5740, (q15_t)0x573b, (q15_t)0x5737, (q15_t)0x5732, (q15_t)0x572e, (q15_t)0x5729, (q15_t)0x5724, (q15_t)0x5720,
+  (q15_t)0x571b, (q15_t)0x5717, (q15_t)0x5712, (q15_t)0x570d, (q15_t)0x5709, (q15_t)0x5704, (q15_t)0x56ff, (q15_t)0x56fb,
+  (q15_t)0x56f6, (q15_t)0x56f2, (q15_t)0x56ed, (q15_t)0x56e8, (q15_t)0x56e4, (q15_t)0x56df, (q15_t)0x56db, (q15_t)0x56d6,
+  (q15_t)0x56d1, (q15_t)0x56cd, (q15_t)0x56c8, (q15_t)0x56c4, (q15_t)0x56bf, (q15_t)0x56ba, (q15_t)0x56b6, (q15_t)0x56b1,
+  (q15_t)0x56ac, (q15_t)0x56a8, (q15_t)0x56a3, (q15_t)0x569f, (q15_t)0x569a, (q15_t)0x5695, (q15_t)0x5691, (q15_t)0x568c,
+  (q15_t)0x5687, (q15_t)0x5683, (q15_t)0x567e, (q15_t)0x5679, (q15_t)0x5675, (q15_t)0x5670, (q15_t)0x566c, (q15_t)0x5667,
+  (q15_t)0x5662, (q15_t)0x565e, (q15_t)0x5659, (q15_t)0x5654, (q15_t)0x5650, (q15_t)0x564b, (q15_t)0x5646, (q15_t)0x5642,
+  (q15_t)0x563d, (q15_t)0x5639, (q15_t)0x5634, (q15_t)0x562f, (q15_t)0x562b, (q15_t)0x5626, (q15_t)0x5621, (q15_t)0x561d,
+  (q15_t)0x5618, (q15_t)0x5613, (q15_t)0x560f, (q15_t)0x560a, (q15_t)0x5605, (q15_t)0x5601, (q15_t)0x55fc, (q15_t)0x55f7,
+  (q15_t)0x55f3, (q15_t)0x55ee, (q15_t)0x55ea, (q15_t)0x55e5, (q15_t)0x55e0, (q15_t)0x55dc, (q15_t)0x55d7, (q15_t)0x55d2,
+  (q15_t)0x55ce, (q15_t)0x55c9, (q15_t)0x55c4, (q15_t)0x55c0, (q15_t)0x55bb, (q15_t)0x55b6, (q15_t)0x55b2, (q15_t)0x55ad,
+  (q15_t)0x55a8, (q15_t)0x55a4, (q15_t)0x559f, (q15_t)0x559a, (q15_t)0x5596, (q15_t)0x5591, (q15_t)0x558c, (q15_t)0x5588,
+  (q15_t)0x5583, (q15_t)0x557e, (q15_t)0x5579, (q15_t)0x5575, (q15_t)0x5570, (q15_t)0x556b, (q15_t)0x5567, (q15_t)0x5562,
+  (q15_t)0x555d, (q15_t)0x5559, (q15_t)0x5554, (q15_t)0x554f, (q15_t)0x554b, (q15_t)0x5546, (q15_t)0x5541, (q15_t)0x553d,
+  (q15_t)0x5538, (q15_t)0x5533, (q15_t)0x552f, (q15_t)0x552a, (q15_t)0x5525, (q15_t)0x5520, (q15_t)0x551c, (q15_t)0x5517,
+  (q15_t)0x5512, (q15_t)0x550e, (q15_t)0x5509, (q15_t)0x5504, (q15_t)0x5500, (q15_t)0x54fb, (q15_t)0x54f6, (q15_t)0x54f2,
+  (q15_t)0x54ed, (q15_t)0x54e8, (q15_t)0x54e3, (q15_t)0x54df, (q15_t)0x54da, (q15_t)0x54d5, (q15_t)0x54d1, (q15_t)0x54cc,
+  (q15_t)0x54c7, (q15_t)0x54c2, (q15_t)0x54be, (q15_t)0x54b9, (q15_t)0x54b4, (q15_t)0x54b0, (q15_t)0x54ab, (q15_t)0x54a6,
+  (q15_t)0x54a2, (q15_t)0x549d, (q15_t)0x5498, (q15_t)0x5493, (q15_t)0x548f, (q15_t)0x548a, (q15_t)0x5485, (q15_t)0x5480,
+  (q15_t)0x547c, (q15_t)0x5477, (q15_t)0x5472, (q15_t)0x546e, (q15_t)0x5469, (q15_t)0x5464, (q15_t)0x545f, (q15_t)0x545b,
+  (q15_t)0x5456, (q15_t)0x5451, (q15_t)0x544d, (q15_t)0x5448, (q15_t)0x5443, (q15_t)0x543e, (q15_t)0x543a, (q15_t)0x5435,
+  (q15_t)0x5430, (q15_t)0x542b, (q15_t)0x5427, (q15_t)0x5422, (q15_t)0x541d, (q15_t)0x5418, (q15_t)0x5414, (q15_t)0x540f,
+  (q15_t)0x540a, (q15_t)0x5406, (q15_t)0x5401, (q15_t)0x53fc, (q15_t)0x53f7, (q15_t)0x53f3, (q15_t)0x53ee, (q15_t)0x53e9,
+  (q15_t)0x53e4, (q15_t)0x53e0, (q15_t)0x53db, (q15_t)0x53d6, (q15_t)0x53d1, (q15_t)0x53cd, (q15_t)0x53c8, (q15_t)0x53c3,
+  (q15_t)0x53be, (q15_t)0x53ba, (q15_t)0x53b5, (q15_t)0x53b0, (q15_t)0x53ab, (q15_t)0x53a7, (q15_t)0x53a2, (q15_t)0x539d,
+  (q15_t)0x5398, (q15_t)0x5394, (q15_t)0x538f, (q15_t)0x538a, (q15_t)0x5385, (q15_t)0x5380, (q15_t)0x537c, (q15_t)0x5377,
+  (q15_t)0x5372, (q15_t)0x536d, (q15_t)0x5369, (q15_t)0x5364, (q15_t)0x535f, (q15_t)0x535a, (q15_t)0x5356, (q15_t)0x5351,
+  (q15_t)0x534c, (q15_t)0x5347, (q15_t)0x5343, (q15_t)0x533e, (q15_t)0x5339, (q15_t)0x5334, (q15_t)0x532f, (q15_t)0x532b,
+  (q15_t)0x5326, (q15_t)0x5321, (q15_t)0x531c, (q15_t)0x5318, (q15_t)0x5313, (q15_t)0x530e, (q15_t)0x5309, (q15_t)0x5304,
+  (q15_t)0x5300, (q15_t)0x52fb, (q15_t)0x52f6, (q15_t)0x52f1, (q15_t)0x52ec, (q15_t)0x52e8, (q15_t)0x52e3, (q15_t)0x52de,
+  (q15_t)0x52d9, (q15_t)0x52d5, (q15_t)0x52d0, (q15_t)0x52cb, (q15_t)0x52c6, (q15_t)0x52c1, (q15_t)0x52bd, (q15_t)0x52b8,
+  (q15_t)0x52b3, (q15_t)0x52ae, (q15_t)0x52a9, (q15_t)0x52a5, (q15_t)0x52a0, (q15_t)0x529b, (q15_t)0x5296, (q15_t)0x5291,
+  (q15_t)0x528d, (q15_t)0x5288, (q15_t)0x5283, (q15_t)0x527e, (q15_t)0x5279, (q15_t)0x5275, (q15_t)0x5270, (q15_t)0x526b,
+  (q15_t)0x5266, (q15_t)0x5261, (q15_t)0x525d, (q15_t)0x5258, (q15_t)0x5253, (q15_t)0x524e, (q15_t)0x5249, (q15_t)0x5244,
+  (q15_t)0x5240, (q15_t)0x523b, (q15_t)0x5236, (q15_t)0x5231, (q15_t)0x522c, (q15_t)0x5228, (q15_t)0x5223, (q15_t)0x521e,
+  (q15_t)0x5219, (q15_t)0x5214, (q15_t)0x520f, (q15_t)0x520b, (q15_t)0x5206, (q15_t)0x5201, (q15_t)0x51fc, (q15_t)0x51f7,
+  (q15_t)0x51f3, (q15_t)0x51ee, (q15_t)0x51e9, (q15_t)0x51e4, (q15_t)0x51df, (q15_t)0x51da, (q15_t)0x51d6, (q15_t)0x51d1,
+  (q15_t)0x51cc, (q15_t)0x51c7, (q15_t)0x51c2, (q15_t)0x51bd, (q15_t)0x51b9, (q15_t)0x51b4, (q15_t)0x51af, (q15_t)0x51aa,
+  (q15_t)0x51a5, (q15_t)0x51a0, (q15_t)0x519c, (q15_t)0x5197, (q15_t)0x5192, (q15_t)0x518d, (q15_t)0x5188, (q15_t)0x5183,
+  (q15_t)0x517e, (q15_t)0x517a, (q15_t)0x5175, (q15_t)0x5170, (q15_t)0x516b, (q15_t)0x5166, (q15_t)0x5161, (q15_t)0x515d,
+  (q15_t)0x5158, (q15_t)0x5153, (q15_t)0x514e, (q15_t)0x5149, (q15_t)0x5144, (q15_t)0x513f, (q15_t)0x513b, (q15_t)0x5136,
+  (q15_t)0x5131, (q15_t)0x512c, (q15_t)0x5127, (q15_t)0x5122, (q15_t)0x511d, (q15_t)0x5119, (q15_t)0x5114, (q15_t)0x510f,
+  (q15_t)0x510a, (q15_t)0x5105, (q15_t)0x5100, (q15_t)0x50fb, (q15_t)0x50f7, (q15_t)0x50f2, (q15_t)0x50ed, (q15_t)0x50e8,
+  (q15_t)0x50e3, (q15_t)0x50de, (q15_t)0x50d9, (q15_t)0x50d4, (q15_t)0x50d0, (q15_t)0x50cb, (q15_t)0x50c6, (q15_t)0x50c1,
+  (q15_t)0x50bc, (q15_t)0x50b7, (q15_t)0x50b2, (q15_t)0x50ad, (q15_t)0x50a9, (q15_t)0x50a4, (q15_t)0x509f, (q15_t)0x509a,
+  (q15_t)0x5095, (q15_t)0x5090, (q15_t)0x508b, (q15_t)0x5086, (q15_t)0x5082, (q15_t)0x507d, (q15_t)0x5078, (q15_t)0x5073,
+  (q15_t)0x506e, (q15_t)0x5069, (q15_t)0x5064, (q15_t)0x505f, (q15_t)0x505a, (q15_t)0x5056, (q15_t)0x5051, (q15_t)0x504c,
+  (q15_t)0x5047, (q15_t)0x5042, (q15_t)0x503d, (q15_t)0x5038, (q15_t)0x5033, (q15_t)0x502e, (q15_t)0x5029, (q15_t)0x5025,
+  (q15_t)0x5020, (q15_t)0x501b, (q15_t)0x5016, (q15_t)0x5011, (q15_t)0x500c, (q15_t)0x5007, (q15_t)0x5002, (q15_t)0x4ffd,
+  (q15_t)0x4ff8, (q15_t)0x4ff4, (q15_t)0x4fef, (q15_t)0x4fea, (q15_t)0x4fe5, (q15_t)0x4fe0, (q15_t)0x4fdb, (q15_t)0x4fd6,
+  (q15_t)0x4fd1, (q15_t)0x4fcc, (q15_t)0x4fc7, (q15_t)0x4fc2, (q15_t)0x4fbe, (q15_t)0x4fb9, (q15_t)0x4fb4, (q15_t)0x4faf,
+  (q15_t)0x4faa, (q15_t)0x4fa5, (q15_t)0x4fa0, (q15_t)0x4f9b, (q15_t)0x4f96, (q15_t)0x4f91, (q15_t)0x4f8c, (q15_t)0x4f87,
+  (q15_t)0x4f82, (q15_t)0x4f7e, (q15_t)0x4f79, (q15_t)0x4f74, (q15_t)0x4f6f, (q15_t)0x4f6a, (q15_t)0x4f65, (q15_t)0x4f60,
+  (q15_t)0x4f5b, (q15_t)0x4f56, (q15_t)0x4f51, (q15_t)0x4f4c, (q15_t)0x4f47, (q15_t)0x4f42, (q15_t)0x4f3d, (q15_t)0x4f39,
+  (q15_t)0x4f34, (q15_t)0x4f2f, (q15_t)0x4f2a, (q15_t)0x4f25, (q15_t)0x4f20, (q15_t)0x4f1b, (q15_t)0x4f16, (q15_t)0x4f11,
+  (q15_t)0x4f0c, (q15_t)0x4f07, (q15_t)0x4f02, (q15_t)0x4efd, (q15_t)0x4ef8, (q15_t)0x4ef3, (q15_t)0x4eee, (q15_t)0x4ee9,
+  (q15_t)0x4ee5, (q15_t)0x4ee0, (q15_t)0x4edb, (q15_t)0x4ed6, (q15_t)0x4ed1, (q15_t)0x4ecc, (q15_t)0x4ec7, (q15_t)0x4ec2,
+  (q15_t)0x4ebd, (q15_t)0x4eb8, (q15_t)0x4eb3, (q15_t)0x4eae, (q15_t)0x4ea9, (q15_t)0x4ea4, (q15_t)0x4e9f, (q15_t)0x4e9a,
+  (q15_t)0x4e95, (q15_t)0x4e90, (q15_t)0x4e8b, (q15_t)0x4e86, (q15_t)0x4e81, (q15_t)0x4e7c, (q15_t)0x4e78, (q15_t)0x4e73,
+  (q15_t)0x4e6e, (q15_t)0x4e69, (q15_t)0x4e64, (q15_t)0x4e5f, (q15_t)0x4e5a, (q15_t)0x4e55, (q15_t)0x4e50, (q15_t)0x4e4b,
+  (q15_t)0x4e46, (q15_t)0x4e41, (q15_t)0x4e3c, (q15_t)0x4e37, (q15_t)0x4e32, (q15_t)0x4e2d, (q15_t)0x4e28, (q15_t)0x4e23,
+  (q15_t)0x4e1e, (q15_t)0x4e19, (q15_t)0x4e14, (q15_t)0x4e0f, (q15_t)0x4e0a, (q15_t)0x4e05, (q15_t)0x4e00, (q15_t)0x4dfb,
+  (q15_t)0x4df6, (q15_t)0x4df1, (q15_t)0x4dec, (q15_t)0x4de7, (q15_t)0x4de2, (q15_t)0x4ddd, (q15_t)0x4dd8, (q15_t)0x4dd3,
+  (q15_t)0x4dce, (q15_t)0x4dc9, (q15_t)0x4dc4, (q15_t)0x4dbf, (q15_t)0x4dba, (q15_t)0x4db5, (q15_t)0x4db0, (q15_t)0x4dab,
+  (q15_t)0x4da6, (q15_t)0x4da1, (q15_t)0x4d9c, (q15_t)0x4d97, (q15_t)0x4d92, (q15_t)0x4d8d, (q15_t)0x4d88, (q15_t)0x4d83,
+  (q15_t)0x4d7e, (q15_t)0x4d79, (q15_t)0x4d74, (q15_t)0x4d6f, (q15_t)0x4d6a, (q15_t)0x4d65, (q15_t)0x4d60, (q15_t)0x4d5b,
+  (q15_t)0x4d56, (q15_t)0x4d51, (q15_t)0x4d4c, (q15_t)0x4d47, (q15_t)0x4d42, (q15_t)0x4d3d, (q15_t)0x4d38, (q15_t)0x4d33,
+  (q15_t)0x4d2e, (q15_t)0x4d29, (q15_t)0x4d24, (q15_t)0x4d1f, (q15_t)0x4d1a, (q15_t)0x4d15, (q15_t)0x4d10, (q15_t)0x4d0b,
+  (q15_t)0x4d06, (q15_t)0x4d01, (q15_t)0x4cfc, (q15_t)0x4cf7, (q15_t)0x4cf2, (q15_t)0x4ced, (q15_t)0x4ce8, (q15_t)0x4ce3,
+  (q15_t)0x4cde, (q15_t)0x4cd9, (q15_t)0x4cd4, (q15_t)0x4ccf, (q15_t)0x4cca, (q15_t)0x4cc5, (q15_t)0x4cc0, (q15_t)0x4cbb,
+  (q15_t)0x4cb6, (q15_t)0x4cb1, (q15_t)0x4cac, (q15_t)0x4ca7, (q15_t)0x4ca2, (q15_t)0x4c9d, (q15_t)0x4c98, (q15_t)0x4c93,
+  (q15_t)0x4c8e, (q15_t)0x4c88, (q15_t)0x4c83, (q15_t)0x4c7e, (q15_t)0x4c79, (q15_t)0x4c74, (q15_t)0x4c6f, (q15_t)0x4c6a,
+  (q15_t)0x4c65, (q15_t)0x4c60, (q15_t)0x4c5b, (q15_t)0x4c56, (q15_t)0x4c51, (q15_t)0x4c4c, (q15_t)0x4c47, (q15_t)0x4c42,
+  (q15_t)0x4c3d, (q15_t)0x4c38, (q15_t)0x4c33, (q15_t)0x4c2e, (q15_t)0x4c29, (q15_t)0x4c24, (q15_t)0x4c1f, (q15_t)0x4c1a,
+  (q15_t)0x4c14, (q15_t)0x4c0f, (q15_t)0x4c0a, (q15_t)0x4c05, (q15_t)0x4c00, (q15_t)0x4bfb, (q15_t)0x4bf6, (q15_t)0x4bf1,
+  (q15_t)0x4bec, (q15_t)0x4be7, (q15_t)0x4be2, (q15_t)0x4bdd, (q15_t)0x4bd8, (q15_t)0x4bd3, (q15_t)0x4bce, (q15_t)0x4bc9,
+  (q15_t)0x4bc4, (q15_t)0x4bbe, (q15_t)0x4bb9, (q15_t)0x4bb4, (q15_t)0x4baf, (q15_t)0x4baa, (q15_t)0x4ba5, (q15_t)0x4ba0,
+  (q15_t)0x4b9b, (q15_t)0x4b96, (q15_t)0x4b91, (q15_t)0x4b8c, (q15_t)0x4b87, (q15_t)0x4b82, (q15_t)0x4b7d, (q15_t)0x4b77,
+  (q15_t)0x4b72, (q15_t)0x4b6d, (q15_t)0x4b68, (q15_t)0x4b63, (q15_t)0x4b5e, (q15_t)0x4b59, (q15_t)0x4b54, (q15_t)0x4b4f,
+  (q15_t)0x4b4a, (q15_t)0x4b45, (q15_t)0x4b40, (q15_t)0x4b3b, (q15_t)0x4b35, (q15_t)0x4b30, (q15_t)0x4b2b, (q15_t)0x4b26,
+  (q15_t)0x4b21, (q15_t)0x4b1c, (q15_t)0x4b17, (q15_t)0x4b12, (q15_t)0x4b0d, (q15_t)0x4b08, (q15_t)0x4b03, (q15_t)0x4afd,
+  (q15_t)0x4af8, (q15_t)0x4af3, (q15_t)0x4aee, (q15_t)0x4ae9, (q15_t)0x4ae4, (q15_t)0x4adf, (q15_t)0x4ada, (q15_t)0x4ad5,
+  (q15_t)0x4ad0, (q15_t)0x4acb, (q15_t)0x4ac5, (q15_t)0x4ac0, (q15_t)0x4abb, (q15_t)0x4ab6, (q15_t)0x4ab1, (q15_t)0x4aac,
+  (q15_t)0x4aa7, (q15_t)0x4aa2, (q15_t)0x4a9d, (q15_t)0x4a97, (q15_t)0x4a92, (q15_t)0x4a8d, (q15_t)0x4a88, (q15_t)0x4a83,
+  (q15_t)0x4a7e, (q15_t)0x4a79, (q15_t)0x4a74, (q15_t)0x4a6f, (q15_t)0x4a6a, (q15_t)0x4a64, (q15_t)0x4a5f, (q15_t)0x4a5a,
+  (q15_t)0x4a55, (q15_t)0x4a50, (q15_t)0x4a4b, (q15_t)0x4a46, (q15_t)0x4a41, (q15_t)0x4a3b, (q15_t)0x4a36, (q15_t)0x4a31,
+  (q15_t)0x4a2c, (q15_t)0x4a27, (q15_t)0x4a22, (q15_t)0x4a1d, (q15_t)0x4a18, (q15_t)0x4a12, (q15_t)0x4a0d, (q15_t)0x4a08,
+  (q15_t)0x4a03, (q15_t)0x49fe, (q15_t)0x49f9, (q15_t)0x49f4, (q15_t)0x49ef, (q15_t)0x49e9, (q15_t)0x49e4, (q15_t)0x49df,
+  (q15_t)0x49da, (q15_t)0x49d5, (q15_t)0x49d0, (q15_t)0x49cb, (q15_t)0x49c6, (q15_t)0x49c0, (q15_t)0x49bb, (q15_t)0x49b6,
+  (q15_t)0x49b1, (q15_t)0x49ac, (q15_t)0x49a7, (q15_t)0x49a2, (q15_t)0x499c, (q15_t)0x4997, (q15_t)0x4992, (q15_t)0x498d,
+  (q15_t)0x4988, (q15_t)0x4983, (q15_t)0x497e, (q15_t)0x4978, (q15_t)0x4973, (q15_t)0x496e, (q15_t)0x4969, (q15_t)0x4964,
+  (q15_t)0x495f, (q15_t)0x495a, (q15_t)0x4954, (q15_t)0x494f, (q15_t)0x494a, (q15_t)0x4945, (q15_t)0x4940, (q15_t)0x493b,
+  (q15_t)0x4936, (q15_t)0x4930, (q15_t)0x492b, (q15_t)0x4926, (q15_t)0x4921, (q15_t)0x491c, (q15_t)0x4917, (q15_t)0x4911,
+  (q15_t)0x490c, (q15_t)0x4907, (q15_t)0x4902, (q15_t)0x48fd, (q15_t)0x48f8, (q15_t)0x48f2, (q15_t)0x48ed, (q15_t)0x48e8,
+  (q15_t)0x48e3, (q15_t)0x48de, (q15_t)0x48d9, (q15_t)0x48d3, (q15_t)0x48ce, (q15_t)0x48c9, (q15_t)0x48c4, (q15_t)0x48bf,
+  (q15_t)0x48ba, (q15_t)0x48b4, (q15_t)0x48af, (q15_t)0x48aa, (q15_t)0x48a5, (q15_t)0x48a0, (q15_t)0x489b, (q15_t)0x4895,
+  (q15_t)0x4890, (q15_t)0x488b, (q15_t)0x4886, (q15_t)0x4881, (q15_t)0x487c, (q15_t)0x4876, (q15_t)0x4871, (q15_t)0x486c,
+  (q15_t)0x4867, (q15_t)0x4862, (q15_t)0x485c, (q15_t)0x4857, (q15_t)0x4852, (q15_t)0x484d, (q15_t)0x4848, (q15_t)0x4843,
+  (q15_t)0x483d, (q15_t)0x4838, (q15_t)0x4833, (q15_t)0x482e, (q15_t)0x4829, (q15_t)0x4823, (q15_t)0x481e, (q15_t)0x4819,
+  (q15_t)0x4814, (q15_t)0x480f, (q15_t)0x4809, (q15_t)0x4804, (q15_t)0x47ff, (q15_t)0x47fa, (q15_t)0x47f5, (q15_t)0x47ef,
+  (q15_t)0x47ea, (q15_t)0x47e5, (q15_t)0x47e0, (q15_t)0x47db, (q15_t)0x47d5, (q15_t)0x47d0, (q15_t)0x47cb, (q15_t)0x47c6,
+  (q15_t)0x47c1, (q15_t)0x47bb, (q15_t)0x47b6, (q15_t)0x47b1, (q15_t)0x47ac, (q15_t)0x47a7, (q15_t)0x47a1, (q15_t)0x479c,
+  (q15_t)0x4797, (q15_t)0x4792, (q15_t)0x478d, (q15_t)0x4787, (q15_t)0x4782, (q15_t)0x477d, (q15_t)0x4778, (q15_t)0x4773,
+  (q15_t)0x476d, (q15_t)0x4768, (q15_t)0x4763, (q15_t)0x475e, (q15_t)0x4758, (q15_t)0x4753, (q15_t)0x474e, (q15_t)0x4749,
+  (q15_t)0x4744, (q15_t)0x473e, (q15_t)0x4739, (q15_t)0x4734, (q15_t)0x472f, (q15_t)0x4729, (q15_t)0x4724, (q15_t)0x471f,
+  (q15_t)0x471a, (q15_t)0x4715, (q15_t)0x470f, (q15_t)0x470a, (q15_t)0x4705, (q15_t)0x4700, (q15_t)0x46fa, (q15_t)0x46f5,
+  (q15_t)0x46f0, (q15_t)0x46eb, (q15_t)0x46e6, (q15_t)0x46e0, (q15_t)0x46db, (q15_t)0x46d6, (q15_t)0x46d1, (q15_t)0x46cb,
+  (q15_t)0x46c6, (q15_t)0x46c1, (q15_t)0x46bc, (q15_t)0x46b6, (q15_t)0x46b1, (q15_t)0x46ac, (q15_t)0x46a7, (q15_t)0x46a1,
+  (q15_t)0x469c, (q15_t)0x4697, (q15_t)0x4692, (q15_t)0x468d, (q15_t)0x4687, (q15_t)0x4682, (q15_t)0x467d, (q15_t)0x4678,
+  (q15_t)0x4672, (q15_t)0x466d, (q15_t)0x4668, (q15_t)0x4663, (q15_t)0x465d, (q15_t)0x4658, (q15_t)0x4653, (q15_t)0x464e,
+  (q15_t)0x4648, (q15_t)0x4643, (q15_t)0x463e, (q15_t)0x4639, (q15_t)0x4633, (q15_t)0x462e, (q15_t)0x4629, (q15_t)0x4624,
+  (q15_t)0x461e, (q15_t)0x4619, (q15_t)0x4614, (q15_t)0x460e, (q15_t)0x4609, (q15_t)0x4604, (q15_t)0x45ff, (q15_t)0x45f9,
+  (q15_t)0x45f4, (q15_t)0x45ef, (q15_t)0x45ea, (q15_t)0x45e4, (q15_t)0x45df, (q15_t)0x45da, (q15_t)0x45d5, (q15_t)0x45cf,
+  (q15_t)0x45ca, (q15_t)0x45c5, (q15_t)0x45c0, (q15_t)0x45ba, (q15_t)0x45b5, (q15_t)0x45b0, (q15_t)0x45aa, (q15_t)0x45a5,
+  (q15_t)0x45a0, (q15_t)0x459b, (q15_t)0x4595, (q15_t)0x4590, (q15_t)0x458b, (q15_t)0x4586, (q15_t)0x4580, (q15_t)0x457b,
+  (q15_t)0x4576, (q15_t)0x4570, (q15_t)0x456b, (q15_t)0x4566, (q15_t)0x4561, (q15_t)0x455b, (q15_t)0x4556, (q15_t)0x4551,
+  (q15_t)0x454b, (q15_t)0x4546, (q15_t)0x4541, (q15_t)0x453c, (q15_t)0x4536, (q15_t)0x4531, (q15_t)0x452c, (q15_t)0x4526,
+  (q15_t)0x4521, (q15_t)0x451c, (q15_t)0x4517, (q15_t)0x4511, (q15_t)0x450c, (q15_t)0x4507, (q15_t)0x4501, (q15_t)0x44fc,
+  (q15_t)0x44f7, (q15_t)0x44f2, (q15_t)0x44ec, (q15_t)0x44e7, (q15_t)0x44e2, (q15_t)0x44dc, (q15_t)0x44d7, (q15_t)0x44d2,
+  (q15_t)0x44cd, (q15_t)0x44c7, (q15_t)0x44c2, (q15_t)0x44bd, (q15_t)0x44b7, (q15_t)0x44b2, (q15_t)0x44ad, (q15_t)0x44a7,
+  (q15_t)0x44a2, (q15_t)0x449d, (q15_t)0x4497, (q15_t)0x4492, (q15_t)0x448d, (q15_t)0x4488, (q15_t)0x4482, (q15_t)0x447d,
+  (q15_t)0x4478, (q15_t)0x4472, (q15_t)0x446d, (q15_t)0x4468, (q15_t)0x4462, (q15_t)0x445d, (q15_t)0x4458, (q15_t)0x4452,
+  (q15_t)0x444d, (q15_t)0x4448, (q15_t)0x4443, (q15_t)0x443d, (q15_t)0x4438, (q15_t)0x4433, (q15_t)0x442d, (q15_t)0x4428,
+  (q15_t)0x4423, (q15_t)0x441d, (q15_t)0x4418, (q15_t)0x4413, (q15_t)0x440d, (q15_t)0x4408, (q15_t)0x4403, (q15_t)0x43fd,
+  (q15_t)0x43f8, (q15_t)0x43f3, (q15_t)0x43ed, (q15_t)0x43e8, (q15_t)0x43e3, (q15_t)0x43dd, (q15_t)0x43d8, (q15_t)0x43d3,
+  (q15_t)0x43cd, (q15_t)0x43c8, (q15_t)0x43c3, (q15_t)0x43bd, (q15_t)0x43b8, (q15_t)0x43b3, (q15_t)0x43ad, (q15_t)0x43a8,
+  (q15_t)0x43a3, (q15_t)0x439d, (q15_t)0x4398, (q15_t)0x4393, (q15_t)0x438d, (q15_t)0x4388, (q15_t)0x4383, (q15_t)0x437d,
+  (q15_t)0x4378, (q15_t)0x4373, (q15_t)0x436d, (q15_t)0x4368, (q15_t)0x4363, (q15_t)0x435d, (q15_t)0x4358, (q15_t)0x4353,
+  (q15_t)0x434d, (q15_t)0x4348, (q15_t)0x4343, (q15_t)0x433d, (q15_t)0x4338, (q15_t)0x4333, (q15_t)0x432d, (q15_t)0x4328,
+  (q15_t)0x4323, (q15_t)0x431d, (q15_t)0x4318, (q15_t)0x4313, (q15_t)0x430d, (q15_t)0x4308, (q15_t)0x4302, (q15_t)0x42fd,
+  (q15_t)0x42f8, (q15_t)0x42f2, (q15_t)0x42ed, (q15_t)0x42e8, (q15_t)0x42e2, (q15_t)0x42dd, (q15_t)0x42d8, (q15_t)0x42d2,
+  (q15_t)0x42cd, (q15_t)0x42c8, (q15_t)0x42c2, (q15_t)0x42bd, (q15_t)0x42b7, (q15_t)0x42b2, (q15_t)0x42ad, (q15_t)0x42a7,
+  (q15_t)0x42a2, (q15_t)0x429d, (q15_t)0x4297, (q15_t)0x4292, (q15_t)0x428d, (q15_t)0x4287, (q15_t)0x4282, (q15_t)0x427c,
+  (q15_t)0x4277, (q15_t)0x4272, (q15_t)0x426c, (q15_t)0x4267, (q15_t)0x4262, (q15_t)0x425c, (q15_t)0x4257, (q15_t)0x4251,
+  (q15_t)0x424c, (q15_t)0x4247, (q15_t)0x4241, (q15_t)0x423c, (q15_t)0x4237, (q15_t)0x4231, (q15_t)0x422c, (q15_t)0x4226,
+  (q15_t)0x4221, (q15_t)0x421c, (q15_t)0x4216, (q15_t)0x4211, (q15_t)0x420c, (q15_t)0x4206, (q15_t)0x4201, (q15_t)0x41fb,
+  (q15_t)0x41f6, (q15_t)0x41f1, (q15_t)0x41eb, (q15_t)0x41e6, (q15_t)0x41e0, (q15_t)0x41db, (q15_t)0x41d6, (q15_t)0x41d0,
+  (q15_t)0x41cb, (q15_t)0x41c6, (q15_t)0x41c0, (q15_t)0x41bb, (q15_t)0x41b5, (q15_t)0x41b0, (q15_t)0x41ab, (q15_t)0x41a5,
+  (q15_t)0x41a0, (q15_t)0x419a, (q15_t)0x4195, (q15_t)0x4190, (q15_t)0x418a, (q15_t)0x4185, (q15_t)0x417f, (q15_t)0x417a,
+  (q15_t)0x4175, (q15_t)0x416f, (q15_t)0x416a, (q15_t)0x4164, (q15_t)0x415f, (q15_t)0x415a, (q15_t)0x4154, (q15_t)0x414f,
+  (q15_t)0x4149, (q15_t)0x4144, (q15_t)0x413f, (q15_t)0x4139, (q15_t)0x4134, (q15_t)0x412e, (q15_t)0x4129, (q15_t)0x4124,
+  (q15_t)0x411e, (q15_t)0x4119, (q15_t)0x4113, (q15_t)0x410e, (q15_t)0x4108, (q15_t)0x4103, (q15_t)0x40fe, (q15_t)0x40f8,
+  (q15_t)0x40f3, (q15_t)0x40ed, (q15_t)0x40e8, (q15_t)0x40e3, (q15_t)0x40dd, (q15_t)0x40d8, (q15_t)0x40d2, (q15_t)0x40cd,
+  (q15_t)0x40c8, (q15_t)0x40c2, (q15_t)0x40bd, (q15_t)0x40b7, (q15_t)0x40b2, (q15_t)0x40ac, (q15_t)0x40a7, (q15_t)0x40a2,
+  (q15_t)0x409c, (q15_t)0x4097, (q15_t)0x4091, (q15_t)0x408c, (q15_t)0x4086, (q15_t)0x4081, (q15_t)0x407c, (q15_t)0x4076,
+  (q15_t)0x4071, (q15_t)0x406b, (q15_t)0x4066, (q15_t)0x4060, (q15_t)0x405b, (q15_t)0x4056, (q15_t)0x4050, (q15_t)0x404b,
+  (q15_t)0x4045, (q15_t)0x4040, (q15_t)0x403a, (q15_t)0x4035, (q15_t)0x4030, (q15_t)0x402a, (q15_t)0x4025, (q15_t)0x401f,
+  (q15_t)0x401a, (q15_t)0x4014, (q15_t)0x400f, (q15_t)0x4009, (q15_t)0x4004, (q15_t)0x3fff, (q15_t)0x3ff9, (q15_t)0x3ff4,
+  (q15_t)0x3fee, (q15_t)0x3fe9, (q15_t)0x3fe3, (q15_t)0x3fde, (q15_t)0x3fd8, (q15_t)0x3fd3, (q15_t)0x3fce, (q15_t)0x3fc8,
+  (q15_t)0x3fc3, (q15_t)0x3fbd, (q15_t)0x3fb8, (q15_t)0x3fb2, (q15_t)0x3fad, (q15_t)0x3fa7, (q15_t)0x3fa2, (q15_t)0x3f9d,
+  (q15_t)0x3f97, (q15_t)0x3f92, (q15_t)0x3f8c, (q15_t)0x3f87, (q15_t)0x3f81, (q15_t)0x3f7c, (q15_t)0x3f76, (q15_t)0x3f71,
+  (q15_t)0x3f6b, (q15_t)0x3f66, (q15_t)0x3f61, (q15_t)0x3f5b, (q15_t)0x3f56, (q15_t)0x3f50, (q15_t)0x3f4b, (q15_t)0x3f45,
+  (q15_t)0x3f40, (q15_t)0x3f3a, (q15_t)0x3f35, (q15_t)0x3f2f, (q15_t)0x3f2a, (q15_t)0x3f24, (q15_t)0x3f1f, (q15_t)0x3f1a,
+  (q15_t)0x3f14, (q15_t)0x3f0f, (q15_t)0x3f09, (q15_t)0x3f04, (q15_t)0x3efe, (q15_t)0x3ef9, (q15_t)0x3ef3, (q15_t)0x3eee,
+  (q15_t)0x3ee8, (q15_t)0x3ee3, (q15_t)0x3edd, (q15_t)0x3ed8, (q15_t)0x3ed2, (q15_t)0x3ecd, (q15_t)0x3ec7, (q15_t)0x3ec2,
+  (q15_t)0x3ebd, (q15_t)0x3eb7, (q15_t)0x3eb2, (q15_t)0x3eac, (q15_t)0x3ea7, (q15_t)0x3ea1, (q15_t)0x3e9c, (q15_t)0x3e96,
+  (q15_t)0x3e91, (q15_t)0x3e8b, (q15_t)0x3e86, (q15_t)0x3e80, (q15_t)0x3e7b, (q15_t)0x3e75, (q15_t)0x3e70, (q15_t)0x3e6a,
+  (q15_t)0x3e65, (q15_t)0x3e5f, (q15_t)0x3e5a, (q15_t)0x3e54, (q15_t)0x3e4f, (q15_t)0x3e49, (q15_t)0x3e44, (q15_t)0x3e3e,
+  (q15_t)0x3e39, (q15_t)0x3e33, (q15_t)0x3e2e, (q15_t)0x3e28, (q15_t)0x3e23, (q15_t)0x3e1d, (q15_t)0x3e18, (q15_t)0x3e12,
+  (q15_t)0x3e0d, (q15_t)0x3e07, (q15_t)0x3e02, (q15_t)0x3dfc, (q15_t)0x3df7, (q15_t)0x3df1, (q15_t)0x3dec, (q15_t)0x3de6,
+  (q15_t)0x3de1, (q15_t)0x3ddb, (q15_t)0x3dd6, (q15_t)0x3dd0, (q15_t)0x3dcb, (q15_t)0x3dc5, (q15_t)0x3dc0, (q15_t)0x3dba,
+  (q15_t)0x3db5, (q15_t)0x3daf, (q15_t)0x3daa, (q15_t)0x3da4, (q15_t)0x3d9f, (q15_t)0x3d99, (q15_t)0x3d94, (q15_t)0x3d8e,
+  (q15_t)0x3d89, (q15_t)0x3d83, (q15_t)0x3d7e, (q15_t)0x3d78, (q15_t)0x3d73, (q15_t)0x3d6d, (q15_t)0x3d68, (q15_t)0x3d62,
+  (q15_t)0x3d5d, (q15_t)0x3d57, (q15_t)0x3d52, (q15_t)0x3d4c, (q15_t)0x3d47, (q15_t)0x3d41, (q15_t)0x3d3c, (q15_t)0x3d36,
+  (q15_t)0x3d31, (q15_t)0x3d2b, (q15_t)0x3d26, (q15_t)0x3d20, (q15_t)0x3d1b, (q15_t)0x3d15, (q15_t)0x3d10, (q15_t)0x3d0a,
+  (q15_t)0x3d04, (q15_t)0x3cff, (q15_t)0x3cf9, (q15_t)0x3cf4, (q15_t)0x3cee, (q15_t)0x3ce9, (q15_t)0x3ce3, (q15_t)0x3cde,
+  (q15_t)0x3cd8, (q15_t)0x3cd3, (q15_t)0x3ccd, (q15_t)0x3cc8, (q15_t)0x3cc2, (q15_t)0x3cbd, (q15_t)0x3cb7, (q15_t)0x3cb2,
+  (q15_t)0x3cac, (q15_t)0x3ca7, (q15_t)0x3ca1, (q15_t)0x3c9b, (q15_t)0x3c96, (q15_t)0x3c90, (q15_t)0x3c8b, (q15_t)0x3c85,
+  (q15_t)0x3c80, (q15_t)0x3c7a, (q15_t)0x3c75, (q15_t)0x3c6f, (q15_t)0x3c6a, (q15_t)0x3c64, (q15_t)0x3c5f, (q15_t)0x3c59,
+  (q15_t)0x3c53, (q15_t)0x3c4e, (q15_t)0x3c48, (q15_t)0x3c43, (q15_t)0x3c3d, (q15_t)0x3c38, (q15_t)0x3c32, (q15_t)0x3c2d,
+  (q15_t)0x3c27, (q15_t)0x3c22, (q15_t)0x3c1c, (q15_t)0x3c16, (q15_t)0x3c11, (q15_t)0x3c0b, (q15_t)0x3c06, (q15_t)0x3c00,
+  (q15_t)0x3bfb, (q15_t)0x3bf5, (q15_t)0x3bf0, (q15_t)0x3bea, (q15_t)0x3be5, (q15_t)0x3bdf, (q15_t)0x3bd9, (q15_t)0x3bd4,
+  (q15_t)0x3bce, (q15_t)0x3bc9, (q15_t)0x3bc3, (q15_t)0x3bbe, (q15_t)0x3bb8, (q15_t)0x3bb3, (q15_t)0x3bad, (q15_t)0x3ba7,
+  (q15_t)0x3ba2, (q15_t)0x3b9c, (q15_t)0x3b97, (q15_t)0x3b91, (q15_t)0x3b8c, (q15_t)0x3b86, (q15_t)0x3b80, (q15_t)0x3b7b,
+  (q15_t)0x3b75, (q15_t)0x3b70, (q15_t)0x3b6a, (q15_t)0x3b65, (q15_t)0x3b5f, (q15_t)0x3b5a, (q15_t)0x3b54, (q15_t)0x3b4e,
+  (q15_t)0x3b49, (q15_t)0x3b43, (q15_t)0x3b3e, (q15_t)0x3b38, (q15_t)0x3b33, (q15_t)0x3b2d, (q15_t)0x3b27, (q15_t)0x3b22,
+  (q15_t)0x3b1c, (q15_t)0x3b17, (q15_t)0x3b11, (q15_t)0x3b0c, (q15_t)0x3b06, (q15_t)0x3b00, (q15_t)0x3afb, (q15_t)0x3af5,
+  (q15_t)0x3af0, (q15_t)0x3aea, (q15_t)0x3ae4, (q15_t)0x3adf, (q15_t)0x3ad9, (q15_t)0x3ad4, (q15_t)0x3ace, (q15_t)0x3ac9,
+  (q15_t)0x3ac3, (q15_t)0x3abd, (q15_t)0x3ab8, (q15_t)0x3ab2, (q15_t)0x3aad, (q15_t)0x3aa7, (q15_t)0x3aa2, (q15_t)0x3a9c,
+  (q15_t)0x3a96, (q15_t)0x3a91, (q15_t)0x3a8b, (q15_t)0x3a86, (q15_t)0x3a80, (q15_t)0x3a7a, (q15_t)0x3a75, (q15_t)0x3a6f,
+  (q15_t)0x3a6a, (q15_t)0x3a64, (q15_t)0x3a5e, (q15_t)0x3a59, (q15_t)0x3a53, (q15_t)0x3a4e, (q15_t)0x3a48, (q15_t)0x3a42,
+  (q15_t)0x3a3d, (q15_t)0x3a37, (q15_t)0x3a32, (q15_t)0x3a2c, (q15_t)0x3a26, (q15_t)0x3a21, (q15_t)0x3a1b, (q15_t)0x3a16,
+  (q15_t)0x3a10, (q15_t)0x3a0b, (q15_t)0x3a05, (q15_t)0x39ff, (q15_t)0x39fa, (q15_t)0x39f4, (q15_t)0x39ee, (q15_t)0x39e9,
+  (q15_t)0x39e3, (q15_t)0x39de, (q15_t)0x39d8, (q15_t)0x39d2, (q15_t)0x39cd, (q15_t)0x39c7, (q15_t)0x39c2, (q15_t)0x39bc,
+  (q15_t)0x39b6, (q15_t)0x39b1, (q15_t)0x39ab, (q15_t)0x39a6, (q15_t)0x39a0, (q15_t)0x399a, (q15_t)0x3995, (q15_t)0x398f,
+  (q15_t)0x398a, (q15_t)0x3984, (q15_t)0x397e, (q15_t)0x3979, (q15_t)0x3973, (q15_t)0x396d, (q15_t)0x3968, (q15_t)0x3962,
+  (q15_t)0x395d, (q15_t)0x3957, (q15_t)0x3951, (q15_t)0x394c, (q15_t)0x3946, (q15_t)0x3941, (q15_t)0x393b, (q15_t)0x3935,
+  (q15_t)0x3930, (q15_t)0x392a, (q15_t)0x3924, (q15_t)0x391f, (q15_t)0x3919, (q15_t)0x3914, (q15_t)0x390e, (q15_t)0x3908,
+  (q15_t)0x3903, (q15_t)0x38fd, (q15_t)0x38f7, (q15_t)0x38f2, (q15_t)0x38ec, (q15_t)0x38e7, (q15_t)0x38e1, (q15_t)0x38db,
+  (q15_t)0x38d6, (q15_t)0x38d0, (q15_t)0x38ca, (q15_t)0x38c5, (q15_t)0x38bf, (q15_t)0x38ba, (q15_t)0x38b4, (q15_t)0x38ae,
+  (q15_t)0x38a9, (q15_t)0x38a3, (q15_t)0x389d, (q15_t)0x3898, (q15_t)0x3892, (q15_t)0x388c, (q15_t)0x3887, (q15_t)0x3881,
+  (q15_t)0x387c, (q15_t)0x3876, (q15_t)0x3870, (q15_t)0x386b, (q15_t)0x3865, (q15_t)0x385f, (q15_t)0x385a, (q15_t)0x3854,
+  (q15_t)0x384e, (q15_t)0x3849, (q15_t)0x3843, (q15_t)0x383d, (q15_t)0x3838, (q15_t)0x3832, (q15_t)0x382d, (q15_t)0x3827,
+  (q15_t)0x3821, (q15_t)0x381c, (q15_t)0x3816, (q15_t)0x3810, (q15_t)0x380b, (q15_t)0x3805, (q15_t)0x37ff, (q15_t)0x37fa,
+  (q15_t)0x37f4, (q15_t)0x37ee, (q15_t)0x37e9, (q15_t)0x37e3, (q15_t)0x37dd, (q15_t)0x37d8, (q15_t)0x37d2, (q15_t)0x37cc,
+  (q15_t)0x37c7, (q15_t)0x37c1, (q15_t)0x37bc, (q15_t)0x37b6, (q15_t)0x37b0, (q15_t)0x37ab, (q15_t)0x37a5, (q15_t)0x379f,
+  (q15_t)0x379a, (q15_t)0x3794, (q15_t)0x378e, (q15_t)0x3789, (q15_t)0x3783, (q15_t)0x377d, (q15_t)0x3778, (q15_t)0x3772,
+  (q15_t)0x376c, (q15_t)0x3767, (q15_t)0x3761, (q15_t)0x375b, (q15_t)0x3756, (q15_t)0x3750, (q15_t)0x374a, (q15_t)0x3745,
+  (q15_t)0x373f, (q15_t)0x3739, (q15_t)0x3734, (q15_t)0x372e, (q15_t)0x3728, (q15_t)0x3723, (q15_t)0x371d, (q15_t)0x3717,
+  (q15_t)0x3712, (q15_t)0x370c, (q15_t)0x3706, (q15_t)0x3701, (q15_t)0x36fb, (q15_t)0x36f5, (q15_t)0x36f0, (q15_t)0x36ea,
+  (q15_t)0x36e4, (q15_t)0x36df, (q15_t)0x36d9, (q15_t)0x36d3, (q15_t)0x36ce, (q15_t)0x36c8, (q15_t)0x36c2, (q15_t)0x36bc,
+  (q15_t)0x36b7, (q15_t)0x36b1, (q15_t)0x36ab, (q15_t)0x36a6, (q15_t)0x36a0, (q15_t)0x369a, (q15_t)0x3695, (q15_t)0x368f,
+  (q15_t)0x3689, (q15_t)0x3684, (q15_t)0x367e, (q15_t)0x3678, (q15_t)0x3673, (q15_t)0x366d, (q15_t)0x3667, (q15_t)0x3662,
+  (q15_t)0x365c, (q15_t)0x3656, (q15_t)0x3650, (q15_t)0x364b, (q15_t)0x3645, (q15_t)0x363f, (q15_t)0x363a, (q15_t)0x3634,
+  (q15_t)0x362e, (q15_t)0x3629, (q15_t)0x3623, (q15_t)0x361d, (q15_t)0x3618, (q15_t)0x3612, (q15_t)0x360c, (q15_t)0x3606,
+  (q15_t)0x3601, (q15_t)0x35fb, (q15_t)0x35f5, (q15_t)0x35f0, (q15_t)0x35ea, (q15_t)0x35e4, (q15_t)0x35df, (q15_t)0x35d9,
+  (q15_t)0x35d3, (q15_t)0x35cd, (q15_t)0x35c8, (q15_t)0x35c2, (q15_t)0x35bc, (q15_t)0x35b7, (q15_t)0x35b1, (q15_t)0x35ab,
+  (q15_t)0x35a6, (q15_t)0x35a0, (q15_t)0x359a, (q15_t)0x3594, (q15_t)0x358f, (q15_t)0x3589, (q15_t)0x3583, (q15_t)0x357e,
+  (q15_t)0x3578, (q15_t)0x3572, (q15_t)0x356c, (q15_t)0x3567, (q15_t)0x3561, (q15_t)0x355b, (q15_t)0x3556, (q15_t)0x3550,
+  (q15_t)0x354a, (q15_t)0x3544, (q15_t)0x353f, (q15_t)0x3539, (q15_t)0x3533, (q15_t)0x352e, (q15_t)0x3528, (q15_t)0x3522,
+  (q15_t)0x351c, (q15_t)0x3517, (q15_t)0x3511, (q15_t)0x350b, (q15_t)0x3506, (q15_t)0x3500, (q15_t)0x34fa, (q15_t)0x34f4,
+  (q15_t)0x34ef, (q15_t)0x34e9, (q15_t)0x34e3, (q15_t)0x34de, (q15_t)0x34d8, (q15_t)0x34d2, (q15_t)0x34cc, (q15_t)0x34c7,
+  (q15_t)0x34c1, (q15_t)0x34bb, (q15_t)0x34b6, (q15_t)0x34b0, (q15_t)0x34aa, (q15_t)0x34a4, (q15_t)0x349f, (q15_t)0x3499,
+  (q15_t)0x3493, (q15_t)0x348d, (q15_t)0x3488, (q15_t)0x3482, (q15_t)0x347c, (q15_t)0x3476, (q15_t)0x3471, (q15_t)0x346b,
+  (q15_t)0x3465, (q15_t)0x3460, (q15_t)0x345a, (q15_t)0x3454, (q15_t)0x344e, (q15_t)0x3449, (q15_t)0x3443, (q15_t)0x343d,
+  (q15_t)0x3437, (q15_t)0x3432, (q15_t)0x342c, (q15_t)0x3426, (q15_t)0x3420, (q15_t)0x341b, (q15_t)0x3415, (q15_t)0x340f,
+  (q15_t)0x340a, (q15_t)0x3404, (q15_t)0x33fe, (q15_t)0x33f8, (q15_t)0x33f3, (q15_t)0x33ed, (q15_t)0x33e7, (q15_t)0x33e1,
+  (q15_t)0x33dc, (q15_t)0x33d6, (q15_t)0x33d0, (q15_t)0x33ca, (q15_t)0x33c5, (q15_t)0x33bf, (q15_t)0x33b9, (q15_t)0x33b3,
+  (q15_t)0x33ae, (q15_t)0x33a8, (q15_t)0x33a2, (q15_t)0x339c, (q15_t)0x3397, (q15_t)0x3391, (q15_t)0x338b, (q15_t)0x3385,
+  (q15_t)0x3380, (q15_t)0x337a, (q15_t)0x3374, (q15_t)0x336e, (q15_t)0x3369, (q15_t)0x3363, (q15_t)0x335d, (q15_t)0x3357,
+  (q15_t)0x3352, (q15_t)0x334c, (q15_t)0x3346, (q15_t)0x3340, (q15_t)0x333b, (q15_t)0x3335, (q15_t)0x332f, (q15_t)0x3329,
+  (q15_t)0x3324, (q15_t)0x331e, (q15_t)0x3318, (q15_t)0x3312, (q15_t)0x330c, (q15_t)0x3307, (q15_t)0x3301, (q15_t)0x32fb,
+  (q15_t)0x32f5, (q15_t)0x32f0, (q15_t)0x32ea, (q15_t)0x32e4, (q15_t)0x32de, (q15_t)0x32d9, (q15_t)0x32d3, (q15_t)0x32cd,
+  (q15_t)0x32c7, (q15_t)0x32c2, (q15_t)0x32bc, (q15_t)0x32b6, (q15_t)0x32b0, (q15_t)0x32aa, (q15_t)0x32a5, (q15_t)0x329f,
+  (q15_t)0x3299, (q15_t)0x3293, (q15_t)0x328e, (q15_t)0x3288, (q15_t)0x3282, (q15_t)0x327c, (q15_t)0x3276, (q15_t)0x3271,
+  (q15_t)0x326b, (q15_t)0x3265, (q15_t)0x325f, (q15_t)0x325a, (q15_t)0x3254, (q15_t)0x324e, (q15_t)0x3248, (q15_t)0x3243,
+  (q15_t)0x323d, (q15_t)0x3237, (q15_t)0x3231, (q15_t)0x322b, (q15_t)0x3226, (q15_t)0x3220, (q15_t)0x321a, (q15_t)0x3214,
+  (q15_t)0x320e, (q15_t)0x3209, (q15_t)0x3203, (q15_t)0x31fd, (q15_t)0x31f7, (q15_t)0x31f2, (q15_t)0x31ec, (q15_t)0x31e6,
+  (q15_t)0x31e0, (q15_t)0x31da, (q15_t)0x31d5, (q15_t)0x31cf, (q15_t)0x31c9, (q15_t)0x31c3, (q15_t)0x31bd, (q15_t)0x31b8,
+  (q15_t)0x31b2, (q15_t)0x31ac, (q15_t)0x31a6, (q15_t)0x31a1, (q15_t)0x319b, (q15_t)0x3195, (q15_t)0x318f, (q15_t)0x3189,
+  (q15_t)0x3184, (q15_t)0x317e, (q15_t)0x3178, (q15_t)0x3172, (q15_t)0x316c, (q15_t)0x3167, (q15_t)0x3161, (q15_t)0x315b,
+  (q15_t)0x3155, (q15_t)0x314f, (q15_t)0x314a, (q15_t)0x3144, (q15_t)0x313e, (q15_t)0x3138, (q15_t)0x3132, (q15_t)0x312d,
+  (q15_t)0x3127, (q15_t)0x3121, (q15_t)0x311b, (q15_t)0x3115, (q15_t)0x3110, (q15_t)0x310a, (q15_t)0x3104, (q15_t)0x30fe,
+  (q15_t)0x30f8, (q15_t)0x30f3, (q15_t)0x30ed, (q15_t)0x30e7, (q15_t)0x30e1, (q15_t)0x30db, (q15_t)0x30d6, (q15_t)0x30d0,
+  (q15_t)0x30ca, (q15_t)0x30c4, (q15_t)0x30be, (q15_t)0x30b8, (q15_t)0x30b3, (q15_t)0x30ad, (q15_t)0x30a7, (q15_t)0x30a1,
+  (q15_t)0x309b, (q15_t)0x3096, (q15_t)0x3090, (q15_t)0x308a, (q15_t)0x3084, (q15_t)0x307e, (q15_t)0x3079, (q15_t)0x3073,
+  (q15_t)0x306d, (q15_t)0x3067, (q15_t)0x3061, (q15_t)0x305b, (q15_t)0x3056, (q15_t)0x3050, (q15_t)0x304a, (q15_t)0x3044,
+  (q15_t)0x303e, (q15_t)0x3039, (q15_t)0x3033, (q15_t)0x302d, (q15_t)0x3027, (q15_t)0x3021, (q15_t)0x301b, (q15_t)0x3016,
+  (q15_t)0x3010, (q15_t)0x300a, (q15_t)0x3004, (q15_t)0x2ffe, (q15_t)0x2ff8, (q15_t)0x2ff3, (q15_t)0x2fed, (q15_t)0x2fe7,
+  (q15_t)0x2fe1, (q15_t)0x2fdb, (q15_t)0x2fd6, (q15_t)0x2fd0, (q15_t)0x2fca, (q15_t)0x2fc4, (q15_t)0x2fbe, (q15_t)0x2fb8,
+  (q15_t)0x2fb3, (q15_t)0x2fad, (q15_t)0x2fa7, (q15_t)0x2fa1, (q15_t)0x2f9b, (q15_t)0x2f95, (q15_t)0x2f90, (q15_t)0x2f8a,
+  (q15_t)0x2f84, (q15_t)0x2f7e, (q15_t)0x2f78, (q15_t)0x2f72, (q15_t)0x2f6d, (q15_t)0x2f67, (q15_t)0x2f61, (q15_t)0x2f5b,
+  (q15_t)0x2f55, (q15_t)0x2f4f, (q15_t)0x2f4a, (q15_t)0x2f44, (q15_t)0x2f3e, (q15_t)0x2f38, (q15_t)0x2f32, (q15_t)0x2f2c,
+  (q15_t)0x2f27, (q15_t)0x2f21, (q15_t)0x2f1b, (q15_t)0x2f15, (q15_t)0x2f0f, (q15_t)0x2f09, (q15_t)0x2f03, (q15_t)0x2efe,
+  (q15_t)0x2ef8, (q15_t)0x2ef2, (q15_t)0x2eec, (q15_t)0x2ee6, (q15_t)0x2ee0, (q15_t)0x2edb, (q15_t)0x2ed5, (q15_t)0x2ecf,
+  (q15_t)0x2ec9, (q15_t)0x2ec3, (q15_t)0x2ebd, (q15_t)0x2eb7, (q15_t)0x2eb2, (q15_t)0x2eac, (q15_t)0x2ea6, (q15_t)0x2ea0,
+  (q15_t)0x2e9a, (q15_t)0x2e94, (q15_t)0x2e8e, (q15_t)0x2e89, (q15_t)0x2e83, (q15_t)0x2e7d, (q15_t)0x2e77, (q15_t)0x2e71,
+  (q15_t)0x2e6b, (q15_t)0x2e65, (q15_t)0x2e60, (q15_t)0x2e5a, (q15_t)0x2e54, (q15_t)0x2e4e, (q15_t)0x2e48, (q15_t)0x2e42,
+  (q15_t)0x2e3c, (q15_t)0x2e37, (q15_t)0x2e31, (q15_t)0x2e2b, (q15_t)0x2e25, (q15_t)0x2e1f, (q15_t)0x2e19, (q15_t)0x2e13,
+  (q15_t)0x2e0e, (q15_t)0x2e08, (q15_t)0x2e02, (q15_t)0x2dfc, (q15_t)0x2df6, (q15_t)0x2df0, (q15_t)0x2dea, (q15_t)0x2de5,
+  (q15_t)0x2ddf, (q15_t)0x2dd9, (q15_t)0x2dd3, (q15_t)0x2dcd, (q15_t)0x2dc7, (q15_t)0x2dc1, (q15_t)0x2dbb, (q15_t)0x2db6,
+  (q15_t)0x2db0, (q15_t)0x2daa, (q15_t)0x2da4, (q15_t)0x2d9e, (q15_t)0x2d98, (q15_t)0x2d92, (q15_t)0x2d8d, (q15_t)0x2d87,
+  (q15_t)0x2d81, (q15_t)0x2d7b, (q15_t)0x2d75, (q15_t)0x2d6f, (q15_t)0x2d69, (q15_t)0x2d63, (q15_t)0x2d5e, (q15_t)0x2d58,
+  (q15_t)0x2d52, (q15_t)0x2d4c, (q15_t)0x2d46, (q15_t)0x2d40, (q15_t)0x2d3a, (q15_t)0x2d34, (q15_t)0x2d2f, (q15_t)0x2d29,
+  (q15_t)0x2d23, (q15_t)0x2d1d, (q15_t)0x2d17, (q15_t)0x2d11, (q15_t)0x2d0b, (q15_t)0x2d05, (q15_t)0x2cff, (q15_t)0x2cfa,
+  (q15_t)0x2cf4, (q15_t)0x2cee, (q15_t)0x2ce8, (q15_t)0x2ce2, (q15_t)0x2cdc, (q15_t)0x2cd6, (q15_t)0x2cd0, (q15_t)0x2ccb,
+  (q15_t)0x2cc5, (q15_t)0x2cbf, (q15_t)0x2cb9, (q15_t)0x2cb3, (q15_t)0x2cad, (q15_t)0x2ca7, (q15_t)0x2ca1, (q15_t)0x2c9b,
+  (q15_t)0x2c96, (q15_t)0x2c90, (q15_t)0x2c8a, (q15_t)0x2c84, (q15_t)0x2c7e, (q15_t)0x2c78, (q15_t)0x2c72, (q15_t)0x2c6c,
+  (q15_t)0x2c66, (q15_t)0x2c61, (q15_t)0x2c5b, (q15_t)0x2c55, (q15_t)0x2c4f, (q15_t)0x2c49, (q15_t)0x2c43, (q15_t)0x2c3d,
+  (q15_t)0x2c37, (q15_t)0x2c31, (q15_t)0x2c2b, (q15_t)0x2c26, (q15_t)0x2c20, (q15_t)0x2c1a, (q15_t)0x2c14, (q15_t)0x2c0e,
+  (q15_t)0x2c08, (q15_t)0x2c02, (q15_t)0x2bfc, (q15_t)0x2bf6, (q15_t)0x2bf0, (q15_t)0x2beb, (q15_t)0x2be5, (q15_t)0x2bdf,
+  (q15_t)0x2bd9, (q15_t)0x2bd3, (q15_t)0x2bcd, (q15_t)0x2bc7, (q15_t)0x2bc1, (q15_t)0x2bbb, (q15_t)0x2bb5, (q15_t)0x2bb0,
+  (q15_t)0x2baa, (q15_t)0x2ba4, (q15_t)0x2b9e, (q15_t)0x2b98, (q15_t)0x2b92, (q15_t)0x2b8c, (q15_t)0x2b86, (q15_t)0x2b80,
+  (q15_t)0x2b7a, (q15_t)0x2b74, (q15_t)0x2b6f, (q15_t)0x2b69, (q15_t)0x2b63, (q15_t)0x2b5d, (q15_t)0x2b57, (q15_t)0x2b51,
+  (q15_t)0x2b4b, (q15_t)0x2b45, (q15_t)0x2b3f, (q15_t)0x2b39, (q15_t)0x2b33, (q15_t)0x2b2d, (q15_t)0x2b28, (q15_t)0x2b22,
+  (q15_t)0x2b1c, (q15_t)0x2b16, (q15_t)0x2b10, (q15_t)0x2b0a, (q15_t)0x2b04, (q15_t)0x2afe, (q15_t)0x2af8, (q15_t)0x2af2,
+  (q15_t)0x2aec, (q15_t)0x2ae6, (q15_t)0x2ae1, (q15_t)0x2adb, (q15_t)0x2ad5, (q15_t)0x2acf, (q15_t)0x2ac9, (q15_t)0x2ac3,
+  (q15_t)0x2abd, (q15_t)0x2ab7, (q15_t)0x2ab1, (q15_t)0x2aab, (q15_t)0x2aa5, (q15_t)0x2a9f, (q15_t)0x2a99, (q15_t)0x2a94,
+  (q15_t)0x2a8e, (q15_t)0x2a88, (q15_t)0x2a82, (q15_t)0x2a7c, (q15_t)0x2a76, (q15_t)0x2a70, (q15_t)0x2a6a, (q15_t)0x2a64,
+  (q15_t)0x2a5e, (q15_t)0x2a58, (q15_t)0x2a52, (q15_t)0x2a4c, (q15_t)0x2a47, (q15_t)0x2a41, (q15_t)0x2a3b, (q15_t)0x2a35,
+  (q15_t)0x2a2f, (q15_t)0x2a29, (q15_t)0x2a23, (q15_t)0x2a1d, (q15_t)0x2a17, (q15_t)0x2a11, (q15_t)0x2a0b, (q15_t)0x2a05,
+  (q15_t)0x29ff, (q15_t)0x29f9, (q15_t)0x29f3, (q15_t)0x29ee, (q15_t)0x29e8, (q15_t)0x29e2, (q15_t)0x29dc, (q15_t)0x29d6,
+  (q15_t)0x29d0, (q15_t)0x29ca, (q15_t)0x29c4, (q15_t)0x29be, (q15_t)0x29b8, (q15_t)0x29b2, (q15_t)0x29ac, (q15_t)0x29a6,
+  (q15_t)0x29a0, (q15_t)0x299a, (q15_t)0x2994, (q15_t)0x298e, (q15_t)0x2989, (q15_t)0x2983, (q15_t)0x297d, (q15_t)0x2977,
+  (q15_t)0x2971, (q15_t)0x296b, (q15_t)0x2965, (q15_t)0x295f, (q15_t)0x2959, (q15_t)0x2953, (q15_t)0x294d, (q15_t)0x2947,
+  (q15_t)0x2941, (q15_t)0x293b, (q15_t)0x2935, (q15_t)0x292f, (q15_t)0x2929, (q15_t)0x2923, (q15_t)0x291d, (q15_t)0x2918,
+  (q15_t)0x2912, (q15_t)0x290c, (q15_t)0x2906, (q15_t)0x2900, (q15_t)0x28fa, (q15_t)0x28f4, (q15_t)0x28ee, (q15_t)0x28e8,
+  (q15_t)0x28e2, (q15_t)0x28dc, (q15_t)0x28d6, (q15_t)0x28d0, (q15_t)0x28ca, (q15_t)0x28c4, (q15_t)0x28be, (q15_t)0x28b8,
+  (q15_t)0x28b2, (q15_t)0x28ac, (q15_t)0x28a6, (q15_t)0x28a0, (q15_t)0x289a, (q15_t)0x2895, (q15_t)0x288f, (q15_t)0x2889,
+  (q15_t)0x2883, (q15_t)0x287d, (q15_t)0x2877, (q15_t)0x2871, (q15_t)0x286b, (q15_t)0x2865, (q15_t)0x285f, (q15_t)0x2859,
+  (q15_t)0x2853, (q15_t)0x284d, (q15_t)0x2847, (q15_t)0x2841, (q15_t)0x283b, (q15_t)0x2835, (q15_t)0x282f, (q15_t)0x2829,
+  (q15_t)0x2823, (q15_t)0x281d, (q15_t)0x2817, (q15_t)0x2811, (q15_t)0x280b, (q15_t)0x2805, (q15_t)0x27ff, (q15_t)0x27f9,
+  (q15_t)0x27f3, (q15_t)0x27ee, (q15_t)0x27e8, (q15_t)0x27e2, (q15_t)0x27dc, (q15_t)0x27d6, (q15_t)0x27d0, (q15_t)0x27ca,
+  (q15_t)0x27c4, (q15_t)0x27be, (q15_t)0x27b8, (q15_t)0x27b2, (q15_t)0x27ac, (q15_t)0x27a6, (q15_t)0x27a0, (q15_t)0x279a,
+  (q15_t)0x2794, (q15_t)0x278e, (q15_t)0x2788, (q15_t)0x2782, (q15_t)0x277c, (q15_t)0x2776, (q15_t)0x2770, (q15_t)0x276a,
+  (q15_t)0x2764, (q15_t)0x275e, (q15_t)0x2758, (q15_t)0x2752, (q15_t)0x274c, (q15_t)0x2746, (q15_t)0x2740, (q15_t)0x273a,
+  (q15_t)0x2734, (q15_t)0x272e, (q15_t)0x2728, (q15_t)0x2722, (q15_t)0x271c, (q15_t)0x2716, (q15_t)0x2710, (q15_t)0x270a,
+  (q15_t)0x2704, (q15_t)0x26fe, (q15_t)0x26f8, (q15_t)0x26f2, (q15_t)0x26ec, (q15_t)0x26e7, (q15_t)0x26e1, (q15_t)0x26db,
+  (q15_t)0x26d5, (q15_t)0x26cf, (q15_t)0x26c9, (q15_t)0x26c3, (q15_t)0x26bd, (q15_t)0x26b7, (q15_t)0x26b1, (q15_t)0x26ab,
+  (q15_t)0x26a5, (q15_t)0x269f, (q15_t)0x2699, (q15_t)0x2693, (q15_t)0x268d, (q15_t)0x2687, (q15_t)0x2681, (q15_t)0x267b,
+  (q15_t)0x2675, (q15_t)0x266f, (q15_t)0x2669, (q15_t)0x2663, (q15_t)0x265d, (q15_t)0x2657, (q15_t)0x2651, (q15_t)0x264b,
+  (q15_t)0x2645, (q15_t)0x263f, (q15_t)0x2639, (q15_t)0x2633, (q15_t)0x262d, (q15_t)0x2627, (q15_t)0x2621, (q15_t)0x261b,
+  (q15_t)0x2615, (q15_t)0x260f, (q15_t)0x2609, (q15_t)0x2603, (q15_t)0x25fd, (q15_t)0x25f7, (q15_t)0x25f1, (q15_t)0x25eb,
+  (q15_t)0x25e5, (q15_t)0x25df, (q15_t)0x25d9, (q15_t)0x25d3, (q15_t)0x25cd, (q15_t)0x25c7, (q15_t)0x25c1, (q15_t)0x25bb,
+  (q15_t)0x25b5, (q15_t)0x25af, (q15_t)0x25a9, (q15_t)0x25a3, (q15_t)0x259d, (q15_t)0x2597, (q15_t)0x2591, (q15_t)0x258b,
+  (q15_t)0x2585, (q15_t)0x257f, (q15_t)0x2579, (q15_t)0x2573, (q15_t)0x256d, (q15_t)0x2567, (q15_t)0x2561, (q15_t)0x255b,
+  (q15_t)0x2555, (q15_t)0x254f, (q15_t)0x2549, (q15_t)0x2543, (q15_t)0x253d, (q15_t)0x2537, (q15_t)0x2531, (q15_t)0x252b,
+  (q15_t)0x2525, (q15_t)0x251f, (q15_t)0x2519, (q15_t)0x2513, (q15_t)0x250c, (q15_t)0x2506, (q15_t)0x2500, (q15_t)0x24fa,
+  (q15_t)0x24f4, (q15_t)0x24ee, (q15_t)0x24e8, (q15_t)0x24e2, (q15_t)0x24dc, (q15_t)0x24d6, (q15_t)0x24d0, (q15_t)0x24ca,
+  (q15_t)0x24c4, (q15_t)0x24be, (q15_t)0x24b8, (q15_t)0x24b2, (q15_t)0x24ac, (q15_t)0x24a6, (q15_t)0x24a0, (q15_t)0x249a,
+  (q15_t)0x2494, (q15_t)0x248e, (q15_t)0x2488, (q15_t)0x2482, (q15_t)0x247c, (q15_t)0x2476, (q15_t)0x2470, (q15_t)0x246a,
+  (q15_t)0x2464, (q15_t)0x245e, (q15_t)0x2458, (q15_t)0x2452, (q15_t)0x244c, (q15_t)0x2446, (q15_t)0x2440, (q15_t)0x243a,
+  (q15_t)0x2434, (q15_t)0x242e, (q15_t)0x2428, (q15_t)0x2422, (q15_t)0x241c, (q15_t)0x2416, (q15_t)0x2410, (q15_t)0x240a,
+  (q15_t)0x2404, (q15_t)0x23fd, (q15_t)0x23f7, (q15_t)0x23f1, (q15_t)0x23eb, (q15_t)0x23e5, (q15_t)0x23df, (q15_t)0x23d9,
+  (q15_t)0x23d3, (q15_t)0x23cd, (q15_t)0x23c7, (q15_t)0x23c1, (q15_t)0x23bb, (q15_t)0x23b5, (q15_t)0x23af, (q15_t)0x23a9,
+  (q15_t)0x23a3, (q15_t)0x239d, (q15_t)0x2397, (q15_t)0x2391, (q15_t)0x238b, (q15_t)0x2385, (q15_t)0x237f, (q15_t)0x2379,
+  (q15_t)0x2373, (q15_t)0x236d, (q15_t)0x2367, (q15_t)0x2361, (q15_t)0x235b, (q15_t)0x2355, (q15_t)0x234e, (q15_t)0x2348,
+  (q15_t)0x2342, (q15_t)0x233c, (q15_t)0x2336, (q15_t)0x2330, (q15_t)0x232a, (q15_t)0x2324, (q15_t)0x231e, (q15_t)0x2318,
+  (q15_t)0x2312, (q15_t)0x230c, (q15_t)0x2306, (q15_t)0x2300, (q15_t)0x22fa, (q15_t)0x22f4, (q15_t)0x22ee, (q15_t)0x22e8,
+  (q15_t)0x22e2, (q15_t)0x22dc, (q15_t)0x22d6, (q15_t)0x22d0, (q15_t)0x22ca, (q15_t)0x22c4, (q15_t)0x22bd, (q15_t)0x22b7,
+  (q15_t)0x22b1, (q15_t)0x22ab, (q15_t)0x22a5, (q15_t)0x229f, (q15_t)0x2299, (q15_t)0x2293, (q15_t)0x228d, (q15_t)0x2287,
+  (q15_t)0x2281, (q15_t)0x227b, (q15_t)0x2275, (q15_t)0x226f, (q15_t)0x2269, (q15_t)0x2263, (q15_t)0x225d, (q15_t)0x2257,
+  (q15_t)0x2251, (q15_t)0x224a, (q15_t)0x2244, (q15_t)0x223e, (q15_t)0x2238, (q15_t)0x2232, (q15_t)0x222c, (q15_t)0x2226,
+  (q15_t)0x2220, (q15_t)0x221a, (q15_t)0x2214, (q15_t)0x220e, (q15_t)0x2208, (q15_t)0x2202, (q15_t)0x21fc, (q15_t)0x21f6,
+  (q15_t)0x21f0, (q15_t)0x21ea, (q15_t)0x21e4, (q15_t)0x21dd, (q15_t)0x21d7, (q15_t)0x21d1, (q15_t)0x21cb, (q15_t)0x21c5,
+  (q15_t)0x21bf, (q15_t)0x21b9, (q15_t)0x21b3, (q15_t)0x21ad, (q15_t)0x21a7, (q15_t)0x21a1, (q15_t)0x219b, (q15_t)0x2195,
+  (q15_t)0x218f, (q15_t)0x2189, (q15_t)0x2183, (q15_t)0x217c, (q15_t)0x2176, (q15_t)0x2170, (q15_t)0x216a, (q15_t)0x2164,
+  (q15_t)0x215e, (q15_t)0x2158, (q15_t)0x2152, (q15_t)0x214c, (q15_t)0x2146, (q15_t)0x2140, (q15_t)0x213a, (q15_t)0x2134,
+  (q15_t)0x212e, (q15_t)0x2128, (q15_t)0x2121, (q15_t)0x211b, (q15_t)0x2115, (q15_t)0x210f, (q15_t)0x2109, (q15_t)0x2103,
+  (q15_t)0x20fd, (q15_t)0x20f7, (q15_t)0x20f1, (q15_t)0x20eb, (q15_t)0x20e5, (q15_t)0x20df, (q15_t)0x20d9, (q15_t)0x20d3,
+  (q15_t)0x20cc, (q15_t)0x20c6, (q15_t)0x20c0, (q15_t)0x20ba, (q15_t)0x20b4, (q15_t)0x20ae, (q15_t)0x20a8, (q15_t)0x20a2,
+  (q15_t)0x209c, (q15_t)0x2096, (q15_t)0x2090, (q15_t)0x208a, (q15_t)0x2084, (q15_t)0x207e, (q15_t)0x2077, (q15_t)0x2071,
+  (q15_t)0x206b, (q15_t)0x2065, (q15_t)0x205f, (q15_t)0x2059, (q15_t)0x2053, (q15_t)0x204d, (q15_t)0x2047, (q15_t)0x2041,
+  (q15_t)0x203b, (q15_t)0x2035, (q15_t)0x202e, (q15_t)0x2028, (q15_t)0x2022, (q15_t)0x201c, (q15_t)0x2016, (q15_t)0x2010,
+  (q15_t)0x200a, (q15_t)0x2004, (q15_t)0x1ffe, (q15_t)0x1ff8, (q15_t)0x1ff2, (q15_t)0x1fec, (q15_t)0x1fe5, (q15_t)0x1fdf,
+  (q15_t)0x1fd9, (q15_t)0x1fd3, (q15_t)0x1fcd, (q15_t)0x1fc7, (q15_t)0x1fc1, (q15_t)0x1fbb, (q15_t)0x1fb5, (q15_t)0x1faf,
+  (q15_t)0x1fa9, (q15_t)0x1fa3, (q15_t)0x1f9c, (q15_t)0x1f96, (q15_t)0x1f90, (q15_t)0x1f8a, (q15_t)0x1f84, (q15_t)0x1f7e,
+  (q15_t)0x1f78, (q15_t)0x1f72, (q15_t)0x1f6c, (q15_t)0x1f66, (q15_t)0x1f60, (q15_t)0x1f59, (q15_t)0x1f53, (q15_t)0x1f4d,
+  (q15_t)0x1f47, (q15_t)0x1f41, (q15_t)0x1f3b, (q15_t)0x1f35, (q15_t)0x1f2f, (q15_t)0x1f29, (q15_t)0x1f23, (q15_t)0x1f1d,
+  (q15_t)0x1f16, (q15_t)0x1f10, (q15_t)0x1f0a, (q15_t)0x1f04, (q15_t)0x1efe, (q15_t)0x1ef8, (q15_t)0x1ef2, (q15_t)0x1eec,
+  (q15_t)0x1ee6, (q15_t)0x1ee0, (q15_t)0x1ed9, (q15_t)0x1ed3, (q15_t)0x1ecd, (q15_t)0x1ec7, (q15_t)0x1ec1, (q15_t)0x1ebb,
+  (q15_t)0x1eb5, (q15_t)0x1eaf, (q15_t)0x1ea9, (q15_t)0x1ea3, (q15_t)0x1e9c, (q15_t)0x1e96, (q15_t)0x1e90, (q15_t)0x1e8a,
+  (q15_t)0x1e84, (q15_t)0x1e7e, (q15_t)0x1e78, (q15_t)0x1e72, (q15_t)0x1e6c, (q15_t)0x1e66, (q15_t)0x1e5f, (q15_t)0x1e59,
+  (q15_t)0x1e53, (q15_t)0x1e4d, (q15_t)0x1e47, (q15_t)0x1e41, (q15_t)0x1e3b, (q15_t)0x1e35, (q15_t)0x1e2f, (q15_t)0x1e29,
+  (q15_t)0x1e22, (q15_t)0x1e1c, (q15_t)0x1e16, (q15_t)0x1e10, (q15_t)0x1e0a, (q15_t)0x1e04, (q15_t)0x1dfe, (q15_t)0x1df8,
+  (q15_t)0x1df2, (q15_t)0x1deb, (q15_t)0x1de5, (q15_t)0x1ddf, (q15_t)0x1dd9, (q15_t)0x1dd3, (q15_t)0x1dcd, (q15_t)0x1dc7,
+  (q15_t)0x1dc1, (q15_t)0x1dbb, (q15_t)0x1db4, (q15_t)0x1dae, (q15_t)0x1da8, (q15_t)0x1da2, (q15_t)0x1d9c, (q15_t)0x1d96,
+  (q15_t)0x1d90, (q15_t)0x1d8a, (q15_t)0x1d84, (q15_t)0x1d7d, (q15_t)0x1d77, (q15_t)0x1d71, (q15_t)0x1d6b, (q15_t)0x1d65,
+  (q15_t)0x1d5f, (q15_t)0x1d59, (q15_t)0x1d53, (q15_t)0x1d4c, (q15_t)0x1d46, (q15_t)0x1d40, (q15_t)0x1d3a, (q15_t)0x1d34,
+  (q15_t)0x1d2e, (q15_t)0x1d28, (q15_t)0x1d22, (q15_t)0x1d1c, (q15_t)0x1d15, (q15_t)0x1d0f, (q15_t)0x1d09, (q15_t)0x1d03,
+  (q15_t)0x1cfd, (q15_t)0x1cf7, (q15_t)0x1cf1, (q15_t)0x1ceb, (q15_t)0x1ce4, (q15_t)0x1cde, (q15_t)0x1cd8, (q15_t)0x1cd2,
+  (q15_t)0x1ccc, (q15_t)0x1cc6, (q15_t)0x1cc0, (q15_t)0x1cba, (q15_t)0x1cb3, (q15_t)0x1cad, (q15_t)0x1ca7, (q15_t)0x1ca1,
+  (q15_t)0x1c9b, (q15_t)0x1c95, (q15_t)0x1c8f, (q15_t)0x1c89, (q15_t)0x1c83, (q15_t)0x1c7c, (q15_t)0x1c76, (q15_t)0x1c70,
+  (q15_t)0x1c6a, (q15_t)0x1c64, (q15_t)0x1c5e, (q15_t)0x1c58, (q15_t)0x1c51, (q15_t)0x1c4b, (q15_t)0x1c45, (q15_t)0x1c3f,
+  (q15_t)0x1c39, (q15_t)0x1c33, (q15_t)0x1c2d, (q15_t)0x1c27, (q15_t)0x1c20, (q15_t)0x1c1a, (q15_t)0x1c14, (q15_t)0x1c0e,
+  (q15_t)0x1c08, (q15_t)0x1c02, (q15_t)0x1bfc, (q15_t)0x1bf6, (q15_t)0x1bef, (q15_t)0x1be9, (q15_t)0x1be3, (q15_t)0x1bdd,
+  (q15_t)0x1bd7, (q15_t)0x1bd1, (q15_t)0x1bcb, (q15_t)0x1bc4, (q15_t)0x1bbe, (q15_t)0x1bb8, (q15_t)0x1bb2, (q15_t)0x1bac,
+  (q15_t)0x1ba6, (q15_t)0x1ba0, (q15_t)0x1b9a, (q15_t)0x1b93, (q15_t)0x1b8d, (q15_t)0x1b87, (q15_t)0x1b81, (q15_t)0x1b7b,
+  (q15_t)0x1b75, (q15_t)0x1b6f, (q15_t)0x1b68, (q15_t)0x1b62, (q15_t)0x1b5c, (q15_t)0x1b56, (q15_t)0x1b50, (q15_t)0x1b4a,
+  (q15_t)0x1b44, (q15_t)0x1b3d, (q15_t)0x1b37, (q15_t)0x1b31, (q15_t)0x1b2b, (q15_t)0x1b25, (q15_t)0x1b1f, (q15_t)0x1b19,
+  (q15_t)0x1b13, (q15_t)0x1b0c, (q15_t)0x1b06, (q15_t)0x1b00, (q15_t)0x1afa, (q15_t)0x1af4, (q15_t)0x1aee, (q15_t)0x1ae8,
+  (q15_t)0x1ae1, (q15_t)0x1adb, (q15_t)0x1ad5, (q15_t)0x1acf, (q15_t)0x1ac9, (q15_t)0x1ac3, (q15_t)0x1abd, (q15_t)0x1ab6,
+  (q15_t)0x1ab0, (q15_t)0x1aaa, (q15_t)0x1aa4, (q15_t)0x1a9e, (q15_t)0x1a98, (q15_t)0x1a91, (q15_t)0x1a8b, (q15_t)0x1a85,
+  (q15_t)0x1a7f, (q15_t)0x1a79, (q15_t)0x1a73, (q15_t)0x1a6d, (q15_t)0x1a66, (q15_t)0x1a60, (q15_t)0x1a5a, (q15_t)0x1a54,
+  (q15_t)0x1a4e, (q15_t)0x1a48, (q15_t)0x1a42, (q15_t)0x1a3b, (q15_t)0x1a35, (q15_t)0x1a2f, (q15_t)0x1a29, (q15_t)0x1a23,
+  (q15_t)0x1a1d, (q15_t)0x1a17, (q15_t)0x1a10, (q15_t)0x1a0a, (q15_t)0x1a04, (q15_t)0x19fe, (q15_t)0x19f8, (q15_t)0x19f2,
+  (q15_t)0x19eb, (q15_t)0x19e5, (q15_t)0x19df, (q15_t)0x19d9, (q15_t)0x19d3, (q15_t)0x19cd, (q15_t)0x19c7, (q15_t)0x19c0,
+  (q15_t)0x19ba, (q15_t)0x19b4, (q15_t)0x19ae, (q15_t)0x19a8, (q15_t)0x19a2, (q15_t)0x199b, (q15_t)0x1995, (q15_t)0x198f,
+  (q15_t)0x1989, (q15_t)0x1983, (q15_t)0x197d, (q15_t)0x1977, (q15_t)0x1970, (q15_t)0x196a, (q15_t)0x1964, (q15_t)0x195e,
+  (q15_t)0x1958, (q15_t)0x1952, (q15_t)0x194b, (q15_t)0x1945, (q15_t)0x193f, (q15_t)0x1939, (q15_t)0x1933, (q15_t)0x192d,
+  (q15_t)0x1926, (q15_t)0x1920, (q15_t)0x191a, (q15_t)0x1914, (q15_t)0x190e, (q15_t)0x1908, (q15_t)0x1901, (q15_t)0x18fb,
+  (q15_t)0x18f5, (q15_t)0x18ef, (q15_t)0x18e9, (q15_t)0x18e3, (q15_t)0x18dc, (q15_t)0x18d6, (q15_t)0x18d0, (q15_t)0x18ca,
+  (q15_t)0x18c4, (q15_t)0x18be, (q15_t)0x18b8, (q15_t)0x18b1, (q15_t)0x18ab, (q15_t)0x18a5, (q15_t)0x189f, (q15_t)0x1899,
+  (q15_t)0x1893, (q15_t)0x188c, (q15_t)0x1886, (q15_t)0x1880, (q15_t)0x187a, (q15_t)0x1874, (q15_t)0x186e, (q15_t)0x1867,
+  (q15_t)0x1861, (q15_t)0x185b, (q15_t)0x1855, (q15_t)0x184f, (q15_t)0x1848, (q15_t)0x1842, (q15_t)0x183c, (q15_t)0x1836,
+  (q15_t)0x1830, (q15_t)0x182a, (q15_t)0x1823, (q15_t)0x181d, (q15_t)0x1817, (q15_t)0x1811, (q15_t)0x180b, (q15_t)0x1805,
+  (q15_t)0x17fe, (q15_t)0x17f8, (q15_t)0x17f2, (q15_t)0x17ec, (q15_t)0x17e6, (q15_t)0x17e0, (q15_t)0x17d9, (q15_t)0x17d3,
+  (q15_t)0x17cd, (q15_t)0x17c7, (q15_t)0x17c1, (q15_t)0x17bb, (q15_t)0x17b4, (q15_t)0x17ae, (q15_t)0x17a8, (q15_t)0x17a2,
+  (q15_t)0x179c, (q15_t)0x1795, (q15_t)0x178f, (q15_t)0x1789, (q15_t)0x1783, (q15_t)0x177d, (q15_t)0x1777, (q15_t)0x1770,
+  (q15_t)0x176a, (q15_t)0x1764, (q15_t)0x175e, (q15_t)0x1758, (q15_t)0x1752, (q15_t)0x174b, (q15_t)0x1745, (q15_t)0x173f,
+  (q15_t)0x1739, (q15_t)0x1733, (q15_t)0x172c, (q15_t)0x1726, (q15_t)0x1720, (q15_t)0x171a, (q15_t)0x1714, (q15_t)0x170e,
+  (q15_t)0x1707, (q15_t)0x1701, (q15_t)0x16fb, (q15_t)0x16f5, (q15_t)0x16ef, (q15_t)0x16e8, (q15_t)0x16e2, (q15_t)0x16dc,
+  (q15_t)0x16d6, (q15_t)0x16d0, (q15_t)0x16ca, (q15_t)0x16c3, (q15_t)0x16bd, (q15_t)0x16b7, (q15_t)0x16b1, (q15_t)0x16ab,
+  (q15_t)0x16a4, (q15_t)0x169e, (q15_t)0x1698, (q15_t)0x1692, (q15_t)0x168c, (q15_t)0x1686, (q15_t)0x167f, (q15_t)0x1679,
+  (q15_t)0x1673, (q15_t)0x166d, (q15_t)0x1667, (q15_t)0x1660, (q15_t)0x165a, (q15_t)0x1654, (q15_t)0x164e, (q15_t)0x1648,
+  (q15_t)0x1642, (q15_t)0x163b, (q15_t)0x1635, (q15_t)0x162f, (q15_t)0x1629, (q15_t)0x1623, (q15_t)0x161c, (q15_t)0x1616,
+  (q15_t)0x1610, (q15_t)0x160a, (q15_t)0x1604, (q15_t)0x15fd, (q15_t)0x15f7, (q15_t)0x15f1, (q15_t)0x15eb, (q15_t)0x15e5,
+  (q15_t)0x15de, (q15_t)0x15d8, (q15_t)0x15d2, (q15_t)0x15cc, (q15_t)0x15c6, (q15_t)0x15c0, (q15_t)0x15b9, (q15_t)0x15b3,
+  (q15_t)0x15ad, (q15_t)0x15a7, (q15_t)0x15a1, (q15_t)0x159a, (q15_t)0x1594, (q15_t)0x158e, (q15_t)0x1588, (q15_t)0x1582,
+  (q15_t)0x157b, (q15_t)0x1575, (q15_t)0x156f, (q15_t)0x1569, (q15_t)0x1563, (q15_t)0x155c, (q15_t)0x1556, (q15_t)0x1550,
+  (q15_t)0x154a, (q15_t)0x1544, (q15_t)0x153d, (q15_t)0x1537, (q15_t)0x1531, (q15_t)0x152b, (q15_t)0x1525, (q15_t)0x151e,
+  (q15_t)0x1518, (q15_t)0x1512, (q15_t)0x150c, (q15_t)0x1506, (q15_t)0x14ff, (q15_t)0x14f9, (q15_t)0x14f3, (q15_t)0x14ed,
+  (q15_t)0x14e7, (q15_t)0x14e0, (q15_t)0x14da, (q15_t)0x14d4, (q15_t)0x14ce, (q15_t)0x14c8, (q15_t)0x14c1, (q15_t)0x14bb,
+  (q15_t)0x14b5, (q15_t)0x14af, (q15_t)0x14a9, (q15_t)0x14a2, (q15_t)0x149c, (q15_t)0x1496, (q15_t)0x1490, (q15_t)0x148a,
+  (q15_t)0x1483, (q15_t)0x147d, (q15_t)0x1477, (q15_t)0x1471, (q15_t)0x146b, (q15_t)0x1464, (q15_t)0x145e, (q15_t)0x1458,
+  (q15_t)0x1452, (q15_t)0x144c, (q15_t)0x1445, (q15_t)0x143f, (q15_t)0x1439, (q15_t)0x1433, (q15_t)0x142d, (q15_t)0x1426,
+  (q15_t)0x1420, (q15_t)0x141a, (q15_t)0x1414, (q15_t)0x140e, (q15_t)0x1407, (q15_t)0x1401, (q15_t)0x13fb, (q15_t)0x13f5,
+  (q15_t)0x13ef, (q15_t)0x13e8, (q15_t)0x13e2, (q15_t)0x13dc, (q15_t)0x13d6, (q15_t)0x13d0, (q15_t)0x13c9, (q15_t)0x13c3,
+  (q15_t)0x13bd, (q15_t)0x13b7, (q15_t)0x13b1, (q15_t)0x13aa, (q15_t)0x13a4, (q15_t)0x139e, (q15_t)0x1398, (q15_t)0x1391,
+  (q15_t)0x138b, (q15_t)0x1385, (q15_t)0x137f, (q15_t)0x1379, (q15_t)0x1372, (q15_t)0x136c, (q15_t)0x1366, (q15_t)0x1360,
+  (q15_t)0x135a, (q15_t)0x1353, (q15_t)0x134d, (q15_t)0x1347, (q15_t)0x1341, (q15_t)0x133b, (q15_t)0x1334, (q15_t)0x132e,
+  (q15_t)0x1328, (q15_t)0x1322, (q15_t)0x131b, (q15_t)0x1315, (q15_t)0x130f, (q15_t)0x1309, (q15_t)0x1303, (q15_t)0x12fc,
+  (q15_t)0x12f6, (q15_t)0x12f0, (q15_t)0x12ea, (q15_t)0x12e4, (q15_t)0x12dd, (q15_t)0x12d7, (q15_t)0x12d1, (q15_t)0x12cb,
+  (q15_t)0x12c4, (q15_t)0x12be, (q15_t)0x12b8, (q15_t)0x12b2, (q15_t)0x12ac, (q15_t)0x12a5, (q15_t)0x129f, (q15_t)0x1299,
+  (q15_t)0x1293, (q15_t)0x128d, (q15_t)0x1286, (q15_t)0x1280, (q15_t)0x127a, (q15_t)0x1274, (q15_t)0x126d, (q15_t)0x1267,
+  (q15_t)0x1261, (q15_t)0x125b, (q15_t)0x1255, (q15_t)0x124e, (q15_t)0x1248, (q15_t)0x1242, (q15_t)0x123c, (q15_t)0x1235,
+  (q15_t)0x122f, (q15_t)0x1229, (q15_t)0x1223, (q15_t)0x121d, (q15_t)0x1216, (q15_t)0x1210, (q15_t)0x120a, (q15_t)0x1204,
+  (q15_t)0x11fd, (q15_t)0x11f7, (q15_t)0x11f1, (q15_t)0x11eb, (q15_t)0x11e5, (q15_t)0x11de, (q15_t)0x11d8, (q15_t)0x11d2,
+  (q15_t)0x11cc, (q15_t)0x11c5, (q15_t)0x11bf, (q15_t)0x11b9, (q15_t)0x11b3, (q15_t)0x11ad, (q15_t)0x11a6, (q15_t)0x11a0,
+  (q15_t)0x119a, (q15_t)0x1194, (q15_t)0x118d, (q15_t)0x1187, (q15_t)0x1181, (q15_t)0x117b, (q15_t)0x1175, (q15_t)0x116e,
+  (q15_t)0x1168, (q15_t)0x1162, (q15_t)0x115c, (q15_t)0x1155, (q15_t)0x114f, (q15_t)0x1149, (q15_t)0x1143, (q15_t)0x113d,
+  (q15_t)0x1136, (q15_t)0x1130, (q15_t)0x112a, (q15_t)0x1124, (q15_t)0x111d, (q15_t)0x1117, (q15_t)0x1111, (q15_t)0x110b,
+  (q15_t)0x1105, (q15_t)0x10fe, (q15_t)0x10f8, (q15_t)0x10f2, (q15_t)0x10ec, (q15_t)0x10e5, (q15_t)0x10df, (q15_t)0x10d9,
+  (q15_t)0x10d3, (q15_t)0x10cc, (q15_t)0x10c6, (q15_t)0x10c0, (q15_t)0x10ba, (q15_t)0x10b4, (q15_t)0x10ad, (q15_t)0x10a7,
+  (q15_t)0x10a1, (q15_t)0x109b, (q15_t)0x1094, (q15_t)0x108e, (q15_t)0x1088, (q15_t)0x1082, (q15_t)0x107b, (q15_t)0x1075,
+  (q15_t)0x106f, (q15_t)0x1069, (q15_t)0x1063, (q15_t)0x105c, (q15_t)0x1056, (q15_t)0x1050, (q15_t)0x104a, (q15_t)0x1043,
+  (q15_t)0x103d, (q15_t)0x1037, (q15_t)0x1031, (q15_t)0x102a, (q15_t)0x1024, (q15_t)0x101e, (q15_t)0x1018, (q15_t)0x1012,
+  (q15_t)0x100b, (q15_t)0x1005, (q15_t)0xfff, (q15_t)0xff9, (q15_t)0xff2, (q15_t)0xfec, (q15_t)0xfe6, (q15_t)0xfe0,
+  (q15_t)0xfd9, (q15_t)0xfd3, (q15_t)0xfcd, (q15_t)0xfc7, (q15_t)0xfc0, (q15_t)0xfba, (q15_t)0xfb4, (q15_t)0xfae,
+  (q15_t)0xfa8, (q15_t)0xfa1, (q15_t)0xf9b, (q15_t)0xf95, (q15_t)0xf8f, (q15_t)0xf88, (q15_t)0xf82, (q15_t)0xf7c,
+  (q15_t)0xf76, (q15_t)0xf6f, (q15_t)0xf69, (q15_t)0xf63, (q15_t)0xf5d, (q15_t)0xf56, (q15_t)0xf50, (q15_t)0xf4a,
+  (q15_t)0xf44, (q15_t)0xf3e, (q15_t)0xf37, (q15_t)0xf31, (q15_t)0xf2b, (q15_t)0xf25, (q15_t)0xf1e, (q15_t)0xf18,
+  (q15_t)0xf12, (q15_t)0xf0c, (q15_t)0xf05, (q15_t)0xeff, (q15_t)0xef9, (q15_t)0xef3, (q15_t)0xeec, (q15_t)0xee6,
+  (q15_t)0xee0, (q15_t)0xeda, (q15_t)0xed3, (q15_t)0xecd, (q15_t)0xec7, (q15_t)0xec1, (q15_t)0xeba, (q15_t)0xeb4,
+  (q15_t)0xeae, (q15_t)0xea8, (q15_t)0xea1, (q15_t)0xe9b, (q15_t)0xe95, (q15_t)0xe8f, (q15_t)0xe89, (q15_t)0xe82,
+  (q15_t)0xe7c, (q15_t)0xe76, (q15_t)0xe70, (q15_t)0xe69, (q15_t)0xe63, (q15_t)0xe5d, (q15_t)0xe57, (q15_t)0xe50,
+  (q15_t)0xe4a, (q15_t)0xe44, (q15_t)0xe3e, (q15_t)0xe37, (q15_t)0xe31, (q15_t)0xe2b, (q15_t)0xe25, (q15_t)0xe1e,
+  (q15_t)0xe18, (q15_t)0xe12, (q15_t)0xe0c, (q15_t)0xe05, (q15_t)0xdff, (q15_t)0xdf9, (q15_t)0xdf3, (q15_t)0xdec,
+  (q15_t)0xde6, (q15_t)0xde0, (q15_t)0xdda, (q15_t)0xdd3, (q15_t)0xdcd, (q15_t)0xdc7, (q15_t)0xdc1, (q15_t)0xdba,
+  (q15_t)0xdb4, (q15_t)0xdae, (q15_t)0xda8, (q15_t)0xda1, (q15_t)0xd9b, (q15_t)0xd95, (q15_t)0xd8f, (q15_t)0xd88,
+  (q15_t)0xd82, (q15_t)0xd7c, (q15_t)0xd76, (q15_t)0xd6f, (q15_t)0xd69, (q15_t)0xd63, (q15_t)0xd5d, (q15_t)0xd56,
+  (q15_t)0xd50, (q15_t)0xd4a, (q15_t)0xd44, (q15_t)0xd3d, (q15_t)0xd37, (q15_t)0xd31, (q15_t)0xd2b, (q15_t)0xd24,
+  (q15_t)0xd1e, (q15_t)0xd18, (q15_t)0xd12, (q15_t)0xd0b, (q15_t)0xd05, (q15_t)0xcff, (q15_t)0xcf9, (q15_t)0xcf2,
+  (q15_t)0xcec, (q15_t)0xce6, (q15_t)0xce0, (q15_t)0xcd9, (q15_t)0xcd3, (q15_t)0xccd, (q15_t)0xcc7, (q15_t)0xcc0,
+  (q15_t)0xcba, (q15_t)0xcb4, (q15_t)0xcae, (q15_t)0xca7, (q15_t)0xca1, (q15_t)0xc9b, (q15_t)0xc95, (q15_t)0xc8e,
+  (q15_t)0xc88, (q15_t)0xc82, (q15_t)0xc7c, (q15_t)0xc75, (q15_t)0xc6f, (q15_t)0xc69, (q15_t)0xc63, (q15_t)0xc5c,
+  (q15_t)0xc56, (q15_t)0xc50, (q15_t)0xc4a, (q15_t)0xc43, (q15_t)0xc3d, (q15_t)0xc37, (q15_t)0xc31, (q15_t)0xc2a,
+  (q15_t)0xc24, (q15_t)0xc1e, (q15_t)0xc18, (q15_t)0xc11, (q15_t)0xc0b, (q15_t)0xc05, (q15_t)0xbff, (q15_t)0xbf8,
+  (q15_t)0xbf2, (q15_t)0xbec, (q15_t)0xbe6, (q15_t)0xbdf, (q15_t)0xbd9, (q15_t)0xbd3, (q15_t)0xbcd, (q15_t)0xbc6,
+  (q15_t)0xbc0, (q15_t)0xbba, (q15_t)0xbb4, (q15_t)0xbad, (q15_t)0xba7, (q15_t)0xba1, (q15_t)0xb9b, (q15_t)0xb94,
+  (q15_t)0xb8e, (q15_t)0xb88, (q15_t)0xb81, (q15_t)0xb7b, (q15_t)0xb75, (q15_t)0xb6f, (q15_t)0xb68, (q15_t)0xb62,
+  (q15_t)0xb5c, (q15_t)0xb56, (q15_t)0xb4f, (q15_t)0xb49, (q15_t)0xb43, (q15_t)0xb3d, (q15_t)0xb36, (q15_t)0xb30,
+  (q15_t)0xb2a, (q15_t)0xb24, (q15_t)0xb1d, (q15_t)0xb17, (q15_t)0xb11, (q15_t)0xb0b, (q15_t)0xb04, (q15_t)0xafe,
+  (q15_t)0xaf8, (q15_t)0xaf2, (q15_t)0xaeb, (q15_t)0xae5, (q15_t)0xadf, (q15_t)0xad8, (q15_t)0xad2, (q15_t)0xacc,
+  (q15_t)0xac6, (q15_t)0xabf, (q15_t)0xab9, (q15_t)0xab3, (q15_t)0xaad, (q15_t)0xaa6, (q15_t)0xaa0, (q15_t)0xa9a,
+  (q15_t)0xa94, (q15_t)0xa8d, (q15_t)0xa87, (q15_t)0xa81, (q15_t)0xa7b, (q15_t)0xa74, (q15_t)0xa6e, (q15_t)0xa68,
+  (q15_t)0xa62, (q15_t)0xa5b, (q15_t)0xa55, (q15_t)0xa4f, (q15_t)0xa48, (q15_t)0xa42, (q15_t)0xa3c, (q15_t)0xa36,
+  (q15_t)0xa2f, (q15_t)0xa29, (q15_t)0xa23, (q15_t)0xa1d, (q15_t)0xa16, (q15_t)0xa10, (q15_t)0xa0a, (q15_t)0xa04,
+  (q15_t)0x9fd, (q15_t)0x9f7, (q15_t)0x9f1, (q15_t)0x9eb, (q15_t)0x9e4, (q15_t)0x9de, (q15_t)0x9d8, (q15_t)0x9d1,
+  (q15_t)0x9cb, (q15_t)0x9c5, (q15_t)0x9bf, (q15_t)0x9b8, (q15_t)0x9b2, (q15_t)0x9ac, (q15_t)0x9a6, (q15_t)0x99f,
+  (q15_t)0x999, (q15_t)0x993, (q15_t)0x98d, (q15_t)0x986, (q15_t)0x980, (q15_t)0x97a, (q15_t)0x973, (q15_t)0x96d,
+  (q15_t)0x967, (q15_t)0x961, (q15_t)0x95a, (q15_t)0x954, (q15_t)0x94e, (q15_t)0x948, (q15_t)0x941, (q15_t)0x93b,
+  (q15_t)0x935, (q15_t)0x92f, (q15_t)0x928, (q15_t)0x922, (q15_t)0x91c, (q15_t)0x915, (q15_t)0x90f, (q15_t)0x909,
+  (q15_t)0x903, (q15_t)0x8fc, (q15_t)0x8f6, (q15_t)0x8f0, (q15_t)0x8ea, (q15_t)0x8e3, (q15_t)0x8dd, (q15_t)0x8d7,
+  (q15_t)0x8d1, (q15_t)0x8ca, (q15_t)0x8c4, (q15_t)0x8be, (q15_t)0x8b7, (q15_t)0x8b1, (q15_t)0x8ab, (q15_t)0x8a5,
+  (q15_t)0x89e, (q15_t)0x898, (q15_t)0x892, (q15_t)0x88c, (q15_t)0x885, (q15_t)0x87f, (q15_t)0x879, (q15_t)0x872,
+  (q15_t)0x86c, (q15_t)0x866, (q15_t)0x860, (q15_t)0x859, (q15_t)0x853, (q15_t)0x84d, (q15_t)0x847, (q15_t)0x840,
+  (q15_t)0x83a, (q15_t)0x834, (q15_t)0x82e, (q15_t)0x827, (q15_t)0x821, (q15_t)0x81b, (q15_t)0x814, (q15_t)0x80e,
+  (q15_t)0x808, (q15_t)0x802, (q15_t)0x7fb, (q15_t)0x7f5, (q15_t)0x7ef, (q15_t)0x7e9, (q15_t)0x7e2, (q15_t)0x7dc,
+  (q15_t)0x7d6, (q15_t)0x7cf, (q15_t)0x7c9, (q15_t)0x7c3, (q15_t)0x7bd, (q15_t)0x7b6, (q15_t)0x7b0, (q15_t)0x7aa,
+  (q15_t)0x7a4, (q15_t)0x79d, (q15_t)0x797, (q15_t)0x791, (q15_t)0x78a, (q15_t)0x784, (q15_t)0x77e, (q15_t)0x778,
+  (q15_t)0x771, (q15_t)0x76b, (q15_t)0x765, (q15_t)0x75f, (q15_t)0x758, (q15_t)0x752, (q15_t)0x74c, (q15_t)0x745,
+  (q15_t)0x73f, (q15_t)0x739, (q15_t)0x733, (q15_t)0x72c, (q15_t)0x726, (q15_t)0x720, (q15_t)0x71a, (q15_t)0x713,
+  (q15_t)0x70d, (q15_t)0x707, (q15_t)0x700, (q15_t)0x6fa, (q15_t)0x6f4, (q15_t)0x6ee, (q15_t)0x6e7, (q15_t)0x6e1,
+  (q15_t)0x6db, (q15_t)0x6d5, (q15_t)0x6ce, (q15_t)0x6c8, (q15_t)0x6c2, (q15_t)0x6bb, (q15_t)0x6b5, (q15_t)0x6af,
+  (q15_t)0x6a9, (q15_t)0x6a2, (q15_t)0x69c, (q15_t)0x696, (q15_t)0x690, (q15_t)0x689, (q15_t)0x683, (q15_t)0x67d,
+  (q15_t)0x676, (q15_t)0x670, (q15_t)0x66a, (q15_t)0x664, (q15_t)0x65d, (q15_t)0x657, (q15_t)0x651, (q15_t)0x64a,
+  (q15_t)0x644, (q15_t)0x63e, (q15_t)0x638, (q15_t)0x631, (q15_t)0x62b, (q15_t)0x625, (q15_t)0x61f, (q15_t)0x618,
+  (q15_t)0x612, (q15_t)0x60c, (q15_t)0x605, (q15_t)0x5ff, (q15_t)0x5f9, (q15_t)0x5f3, (q15_t)0x5ec, (q15_t)0x5e6,
+  (q15_t)0x5e0, (q15_t)0x5da, (q15_t)0x5d3, (q15_t)0x5cd, (q15_t)0x5c7, (q15_t)0x5c0, (q15_t)0x5ba, (q15_t)0x5b4,
+  (q15_t)0x5ae, (q15_t)0x5a7, (q15_t)0x5a1, (q15_t)0x59b, (q15_t)0x594, (q15_t)0x58e, (q15_t)0x588, (q15_t)0x582,
+  (q15_t)0x57b, (q15_t)0x575, (q15_t)0x56f, (q15_t)0x569, (q15_t)0x562, (q15_t)0x55c, (q15_t)0x556, (q15_t)0x54f,
+  (q15_t)0x549, (q15_t)0x543, (q15_t)0x53d, (q15_t)0x536, (q15_t)0x530, (q15_t)0x52a, (q15_t)0x523, (q15_t)0x51d,
+  (q15_t)0x517, (q15_t)0x511, (q15_t)0x50a, (q15_t)0x504, (q15_t)0x4fe, (q15_t)0x4f8, (q15_t)0x4f1, (q15_t)0x4eb,
+  (q15_t)0x4e5, (q15_t)0x4de, (q15_t)0x4d8, (q15_t)0x4d2, (q15_t)0x4cc, (q15_t)0x4c5, (q15_t)0x4bf, (q15_t)0x4b9,
+  (q15_t)0x4b2, (q15_t)0x4ac, (q15_t)0x4a6, (q15_t)0x4a0, (q15_t)0x499, (q15_t)0x493, (q15_t)0x48d, (q15_t)0x487,
+  (q15_t)0x480, (q15_t)0x47a, (q15_t)0x474, (q15_t)0x46d, (q15_t)0x467, (q15_t)0x461, (q15_t)0x45b, (q15_t)0x454,
+  (q15_t)0x44e, (q15_t)0x448, (q15_t)0x441, (q15_t)0x43b, (q15_t)0x435, (q15_t)0x42f, (q15_t)0x428, (q15_t)0x422,
+  (q15_t)0x41c, (q15_t)0x415, (q15_t)0x40f, (q15_t)0x409, (q15_t)0x403, (q15_t)0x3fc, (q15_t)0x3f6, (q15_t)0x3f0,
+  (q15_t)0x3ea, (q15_t)0x3e3, (q15_t)0x3dd, (q15_t)0x3d7, (q15_t)0x3d0, (q15_t)0x3ca, (q15_t)0x3c4, (q15_t)0x3be,
+  (q15_t)0x3b7, (q15_t)0x3b1, (q15_t)0x3ab, (q15_t)0x3a4, (q15_t)0x39e, (q15_t)0x398, (q15_t)0x392, (q15_t)0x38b,
+  (q15_t)0x385, (q15_t)0x37f, (q15_t)0x378, (q15_t)0x372, (q15_t)0x36c, (q15_t)0x366, (q15_t)0x35f, (q15_t)0x359,
+  (q15_t)0x353, (q15_t)0x34c, (q15_t)0x346, (q15_t)0x340, (q15_t)0x33a, (q15_t)0x333, (q15_t)0x32d, (q15_t)0x327,
+  (q15_t)0x321, (q15_t)0x31a, (q15_t)0x314, (q15_t)0x30e, (q15_t)0x307, (q15_t)0x301, (q15_t)0x2fb, (q15_t)0x2f5,
+  (q15_t)0x2ee, (q15_t)0x2e8, (q15_t)0x2e2, (q15_t)0x2db, (q15_t)0x2d5, (q15_t)0x2cf, (q15_t)0x2c9, (q15_t)0x2c2,
+  (q15_t)0x2bc, (q15_t)0x2b6, (q15_t)0x2af, (q15_t)0x2a9, (q15_t)0x2a3, (q15_t)0x29d, (q15_t)0x296, (q15_t)0x290,
+  (q15_t)0x28a, (q15_t)0x283, (q15_t)0x27d, (q15_t)0x277, (q15_t)0x271, (q15_t)0x26a, (q15_t)0x264, (q15_t)0x25e,
+  (q15_t)0x258, (q15_t)0x251, (q15_t)0x24b, (q15_t)0x245, (q15_t)0x23e, (q15_t)0x238, (q15_t)0x232, (q15_t)0x22c,
+  (q15_t)0x225, (q15_t)0x21f, (q15_t)0x219, (q15_t)0x212, (q15_t)0x20c, (q15_t)0x206, (q15_t)0x200, (q15_t)0x1f9,
+  (q15_t)0x1f3, (q15_t)0x1ed, (q15_t)0x1e6, (q15_t)0x1e0, (q15_t)0x1da, (q15_t)0x1d4, (q15_t)0x1cd, (q15_t)0x1c7,
+  (q15_t)0x1c1, (q15_t)0x1ba, (q15_t)0x1b4, (q15_t)0x1ae, (q15_t)0x1a8, (q15_t)0x1a1, (q15_t)0x19b, (q15_t)0x195,
+  (q15_t)0x18e, (q15_t)0x188, (q15_t)0x182, (q15_t)0x17c, (q15_t)0x175, (q15_t)0x16f, (q15_t)0x169, (q15_t)0x162,
+  (q15_t)0x15c, (q15_t)0x156, (q15_t)0x150, (q15_t)0x149, (q15_t)0x143, (q15_t)0x13d, (q15_t)0x137, (q15_t)0x130,
+  (q15_t)0x12a, (q15_t)0x124, (q15_t)0x11d, (q15_t)0x117, (q15_t)0x111, (q15_t)0x10b, (q15_t)0x104, (q15_t)0xfe,
+  (q15_t)0xf8, (q15_t)0xf1, (q15_t)0xeb, (q15_t)0xe5, (q15_t)0xdf, (q15_t)0xd8, (q15_t)0xd2, (q15_t)0xcc,
+  (q15_t)0xc5, (q15_t)0xbf, (q15_t)0xb9, (q15_t)0xb3, (q15_t)0xac, (q15_t)0xa6, (q15_t)0xa0, (q15_t)0x99,
+  (q15_t)0x93, (q15_t)0x8d, (q15_t)0x87, (q15_t)0x80, (q15_t)0x7a, (q15_t)0x74, (q15_t)0x6d, (q15_t)0x67,
+  (q15_t)0x61, (q15_t)0x5b, (q15_t)0x54, (q15_t)0x4e, (q15_t)0x48, (q15_t)0x41, (q15_t)0x3b, (q15_t)0x35,
+  (q15_t)0x2f, (q15_t)0x28, (q15_t)0x22, (q15_t)0x1c, (q15_t)0x15, (q15_t)0xf, (q15_t)0x9, (q15_t)0x3
+};
+  #endif
+
+/**
+  @par
+  Weights tables are generated using the formula : <pre>weights[n] = e^(-j*n*pi/(2*N))</pre>
+  @par
+  C command to generate the table
+  <pre>
+  for (i = 0; i< N; i++)
+  {
+    weights[(2*i)]   =  cos(i*c);
+    weights[(2*i)+1] = -sin(i*c);
+  } </pre>
+  @par
+  where <code>N</code> is the Number of weights to be calculated and <code>c</code> is <code>pi/(2*N)</code>
+  @par
+  Convert the output to q31 format by multiplying with 2^31 and saturated if required.
+  @par
+  In the tables below the real and imaginary values are placed alternatively, hence the
+  array length is <code>2*N</code>.
+ */
+
+/**
+  @par
+  cosFactor tables are generated using the formula : <pre>cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))</pre>
+  @par
+  C command to generate the table
+  <pre>
+  for (i = 0; i< N; i++)
+  {
+    cos_factors[i] = 2 * cos((2*i+1)*c/2);
+  } </pre>
+  @par
+  where <code>N</code> is the number of factors to generate and <code>c</code> is <code>pi/(2*N)</code>
+  @par
+  Then converted to q31 format by multiplying with 2^31 and saturated if required.
+*/
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128)  
+    const q31_t WeightsQ31_128[256] = {
+  (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3,
+  (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7f872bf3, (q31_t)0xf50497fb,
+  (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31,
+  (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7dd6668f, (q31_t)0xe8922622,
+  (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7c894bde, (q31_t)0xe26cb01b,
+  (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7aef6323, (q31_t)0xdc597781,
+  (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x7909a92d, (q31_t)0xd65c3b7b,
+  (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x76d94989, (q31_t)0xd078ad9e,
+  (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x745f9dd1, (q31_t)0xcab26fa9,
+  (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x719e2cd2, (q31_t)0xc50d1149,
+  (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3,
+  (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6b4af279, (q31_t)0xba32ca71,
+  (q31_t)0x6a6d98a4, (q31_t)0xb8e31319, (q31_t)0x698c246c, (q31_t)0xb796199b, (q31_t)0x68a69e81, (q31_t)0xb64beacd, (q31_t)0x67bd0fbd, (q31_t)0xb5049368,
+  (q31_t)0x66cf8120, (q31_t)0xb3c0200c, (q31_t)0x65ddfbd3, (q31_t)0xb27e9d3c, (q31_t)0x64e88926, (q31_t)0xb140175b, (q31_t)0x63ef3290, (q31_t)0xb0049ab3,
+  (q31_t)0x62f201ac, (q31_t)0xaecc336c, (q31_t)0x61f1003f, (q31_t)0xad96ed92, (q31_t)0x60ec3830, (q31_t)0xac64d510, (q31_t)0x5fe3b38d, (q31_t)0xab35f5b5,
+  (q31_t)0x5ed77c8a, (q31_t)0xaa0a5b2e, (q31_t)0x5dc79d7c, (q31_t)0xa8e21106, (q31_t)0x5cb420e0, (q31_t)0xa7bd22ac, (q31_t)0x5b9d1154, (q31_t)0xa69b9b68,
+  (q31_t)0x5a82799a, (q31_t)0xa57d8666, (q31_t)0x59646498, (q31_t)0xa462eeac, (q31_t)0x5842dd54, (q31_t)0xa34bdf20, (q31_t)0x571deefa, (q31_t)0xa2386284,
+  (q31_t)0x55f5a4d2, (q31_t)0xa1288376, (q31_t)0x54ca0a4b, (q31_t)0xa01c4c73, (q31_t)0x539b2af0, (q31_t)0x9f13c7d0, (q31_t)0x5269126e, (q31_t)0x9e0effc1,
+  (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4d8162c4, (q31_t)0x9a22042d,
+  (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x4869e665, (q31_t)0x9673db94,
+  (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x447acd50, (q31_t)0x93dbd6a0, (q31_t)0x4325c135, (q31_t)0x9306cb04,
+  (q31_t)0x41ce1e65, (q31_t)0x9235f2ec, (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3db832a6, (q31_t)0x8fdcef66,
+  (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x382493b0, (q31_t)0x8cf83c30,
+  (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x326e54c7, (q31_t)0x8a5a7a31,
+  (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2c98fbba, (q31_t)0x88054677,
+  (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x26a82186, (q31_t)0x85fa1153,
+  (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x209f701c, (q31_t)0x843a1d70,
+  (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1a82a026, (q31_t)0x82c67f14,
+  (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x145576b1, (q31_t)0x81a01b6d,
+  (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x0fab272b, (q31_t)0x80f66e3c, (q31_t)0x0e1bc2e4, (q31_t)0x80c7a80a,
+  (q31_t)0x0c8bd35e, (q31_t)0x809dc971, (q31_t)0x0afb6805, (q31_t)0x8078d40d, (q31_t)0x096a9049, (q31_t)0x8058c94c, (q31_t)0x07d95b9e, (q31_t)0x803daa6a,
+  (q31_t)0x0647d97c, (q31_t)0x80277872, (q31_t)0x04b6195d, (q31_t)0x80163440, (q31_t)0x03242abf, (q31_t)0x8009de7e, (q31_t)0x01921d20, (q31_t)0x800277a6
+};
+    const q31_t cos_factorsQ31_128[128] = {
+  (q31_t)0x7fff6216, (q31_t)0x7ffa72d1, (q31_t)0x7ff09478, (q31_t)0x7fe1c76b, (q31_t)0x7fce0c3e, (q31_t)0x7fb563b3,
+  (q31_t)0x7f97cebd, (q31_t)0x7f754e80,
+  (q31_t)0x7f4de451, (q31_t)0x7f2191b4, (q31_t)0x7ef05860, (q31_t)0x7eba3a39, (q31_t)0x7e7f3957, (q31_t)0x7e3f57ff,
+  (q31_t)0x7dfa98a8, (q31_t)0x7db0fdf8,
+  (q31_t)0x7d628ac6, (q31_t)0x7d0f4218, (q31_t)0x7cb72724, (q31_t)0x7c5a3d50, (q31_t)0x7bf88830, (q31_t)0x7b920b89,
+  (q31_t)0x7b26cb4f, (q31_t)0x7ab6cba4,
+  (q31_t)0x7a4210d8, (q31_t)0x79c89f6e, (q31_t)0x794a7c12, (q31_t)0x78c7aba2, (q31_t)0x78403329, (q31_t)0x77b417df,
+  (q31_t)0x77235f2d, (q31_t)0x768e0ea6,
+  (q31_t)0x75f42c0b, (q31_t)0x7555bd4c, (q31_t)0x74b2c884, (q31_t)0x740b53fb, (q31_t)0x735f6626, (q31_t)0x72af05a7,
+  (q31_t)0x71fa3949, (q31_t)0x71410805,
+  (q31_t)0x708378ff, (q31_t)0x6fc19385, (q31_t)0x6efb5f12, (q31_t)0x6e30e34a, (q31_t)0x6d6227fa, (q31_t)0x6c8f351c,
+  (q31_t)0x6bb812d1, (q31_t)0x6adcc964,
+  (q31_t)0x69fd614a, (q31_t)0x6919e320, (q31_t)0x683257ab, (q31_t)0x6746c7d8, (q31_t)0x66573cbb, (q31_t)0x6563bf92,
+  (q31_t)0x646c59bf, (q31_t)0x637114cc,
+  (q31_t)0x6271fa69, (q31_t)0x616f146c, (q31_t)0x60686ccf, (q31_t)0x5f5e0db3, (q31_t)0x5e50015d, (q31_t)0x5d3e5237,
+  (q31_t)0x5c290acc, (q31_t)0x5b1035cf,
+  (q31_t)0x59f3de12, (q31_t)0x58d40e8c, (q31_t)0x57b0d256, (q31_t)0x568a34a9, (q31_t)0x556040e2, (q31_t)0x5433027d,
+  (q31_t)0x53028518, (q31_t)0x51ced46e,
+  (q31_t)0x5097fc5e, (q31_t)0x4f5e08e3, (q31_t)0x4e210617, (q31_t)0x4ce10034, (q31_t)0x4b9e0390, (q31_t)0x4a581c9e,
+  (q31_t)0x490f57ee, (q31_t)0x47c3c22f,
+  (q31_t)0x46756828, (q31_t)0x452456bd, (q31_t)0x43d09aed, (q31_t)0x427a41d0, (q31_t)0x4121589b, (q31_t)0x3fc5ec98,
+  (q31_t)0x3e680b2c, (q31_t)0x3d07c1d6,
+  (q31_t)0x3ba51e29, (q31_t)0x3a402dd2, (q31_t)0x38d8fe93, (q31_t)0x376f9e46, (q31_t)0x36041ad9, (q31_t)0x34968250,
+  (q31_t)0x3326e2c3, (q31_t)0x31b54a5e,
+  (q31_t)0x3041c761, (q31_t)0x2ecc681e, (q31_t)0x2d553afc, (q31_t)0x2bdc4e6f, (q31_t)0x2a61b101, (q31_t)0x28e5714b,
+  (q31_t)0x27679df4, (q31_t)0x25e845b6,
+  (q31_t)0x24677758, (q31_t)0x22e541af, (q31_t)0x2161b3a0, (q31_t)0x1fdcdc1b, (q31_t)0x1e56ca1e, (q31_t)0x1ccf8cb3,
+  (q31_t)0x1b4732ef, (q31_t)0x19bdcbf3,
+  (q31_t)0x183366e9, (q31_t)0x16a81305, (q31_t)0x151bdf86, (q31_t)0x138edbb1, (q31_t)0x120116d5, (q31_t)0x1072a048,
+  (q31_t)0xee38766, (q31_t)0xd53db92,
+  (q31_t)0xbc3ac35, (q31_t)0xa3308bd, (q31_t)0x8a2009a, (q31_t)0x710a345, (q31_t)0x57f0035, (q31_t)0x3ed26e6, (q31_t)0x25b26d7,
+  (q31_t)0xc90f88
+};
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512) 
+    const q31_t WeightsQ31_512[1024] = {
+  (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f,
+  (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ff871a2, (q31_t)0xfd40565c,
+  (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7fed5791, (q31_t)0xfbae5e89,
+  (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157,
+  (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fc85854, (q31_t)0xf88afe42,
+  (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6,
+  (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b,
+  (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77,
+  (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f434563, (q31_t)0xf2482c8a,
+  (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401,
+  (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7ee34636, (q31_t)0xef29b243,
+  (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eabef2c, (q31_t)0xed9b66b2,
+  (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8,
+  (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e4fc53e, (q31_t)0xeb474e81, (q31_t)0x7e3f57ff, (q31_t)0xeae4207a, (q31_t)0x7e2e9cdf, (q31_t)0xea80ff7a,
+  (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7e0c3d29, (q31_t)0xe9bae57d, (q31_t)0x7dfa98a8, (q31_t)0xe957ecfb, (q31_t)0x7de8a670, (q31_t)0xe8f50273,
+  (q31_t)0x7dd6668f, (q31_t)0xe8922622, (q31_t)0x7dc3d90d, (q31_t)0xe82f5844, (q31_t)0x7db0fdf8, (q31_t)0xe7cc9917, (q31_t)0x7d9dd55a, (q31_t)0xe769e8d8,
+  (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d769bb5, (q31_t)0xe6a4b616, (q31_t)0x7d628ac6, (q31_t)0xe642340d, (q31_t)0x7d4e2c7f, (q31_t)0xe5dfc1e5,
+  (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7d24881b, (q31_t)0xe51b0e2a, (q31_t)0x7d0f4218, (q31_t)0xe4b8cd11, (q31_t)0x7cf9aef0, (q31_t)0xe4569ccb,
+  (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7ccda169, (q31_t)0xe3926fad, (q31_t)0x7cb72724, (q31_t)0xe330734d, (q31_t)0x7ca05ff1, (q31_t)0xe2ce88b3,
+  (q31_t)0x7c894bde, (q31_t)0xe26cb01b, (q31_t)0x7c71eaf9, (q31_t)0xe20ae9c1, (q31_t)0x7c5a3d50, (q31_t)0xe1a935e2, (q31_t)0x7c4242f2, (q31_t)0xe14794ba,
+  (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7c116853, (q31_t)0xe0848b7f, (q31_t)0x7bf88830, (q31_t)0xe02323e5, (q31_t)0x7bdf5b94, (q31_t)0xdfc1cff3,
+  (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7bac1d31, (q31_t)0xdeff63f4, (q31_t)0x7b920b89, (q31_t)0xde9e4c60, (q31_t)0x7b77ada8, (q31_t)0xde3d4964,
+  (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7b420d7a, (q31_t)0xdd7b8220, (q31_t)0x7b26cb4f, (q31_t)0xdd1abe51, (q31_t)0x7b0b3d2c, (q31_t)0xdcba1008,
+  (q31_t)0x7aef6323, (q31_t)0xdc597781, (q31_t)0x7ad33d45, (q31_t)0xdbf8f4f8, (q31_t)0x7ab6cba4, (q31_t)0xdb9888a8, (q31_t)0x7a9a0e50, (q31_t)0xdb3832cd,
+  (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a5fb0d8, (q31_t)0xda77cb63, (q31_t)0x7a4210d8, (q31_t)0xda17ba4a, (q31_t)0x7a24256f, (q31_t)0xd9b7c094,
+  (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x79e76ca7, (q31_t)0xd8f81439, (q31_t)0x79c89f6e, (q31_t)0xd898620c, (q31_t)0x79a98715, (q31_t)0xd838c82d,
+  (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x796a7554, (q31_t)0xd779de47, (q31_t)0x794a7c12, (q31_t)0xd71a8eb5, (q31_t)0x792a37fe, (q31_t)0xd6bb585e,
+  (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, (q31_t)0x78e8cfb2, (q31_t)0xd5fd3848, (q31_t)0x78c7aba2, (q31_t)0xd59e4eff, (q31_t)0x78a63d11, (q31_t)0xd53f7fda,
+  (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x786280bf, (q31_t)0xd48230e9, (q31_t)0x78403329, (q31_t)0xd423b191, (q31_t)0x781d9b65, (q31_t)0xd3c54d47,
+  (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x77d78daa, (q31_t)0xd308d6c7, (q31_t)0x77b417df, (q31_t)0xd2aac504, (q31_t)0x7790583e, (q31_t)0xd24ccf39,
+  (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x7747fbce, (q31_t)0xd191386e, (q31_t)0x77235f2d, (q31_t)0xd13397e2, (q31_t)0x76fe790e, (q31_t)0xd0d61434,
+  (q31_t)0x76d94989, (q31_t)0xd078ad9e, (q31_t)0x76b3d0b4, (q31_t)0xd01b6459, (q31_t)0x768e0ea6, (q31_t)0xcfbe389f, (q31_t)0x76680376, (q31_t)0xcf612aaa,
+  (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x761b1211, (q31_t)0xcea768f2, (q31_t)0x75f42c0b, (q31_t)0xce4ab5a2, (q31_t)0x75ccfd42, (q31_t)0xcdee20fc,
+  (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x757dc5ca, (q31_t)0xcd355491, (q31_t)0x7555bd4c, (q31_t)0xccd91d3d, (q31_t)0x752d6c6c, (q31_t)0xcc7d0578,
+  (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x74dbf1ef, (q31_t)0xcbc53579, (q31_t)0x74b2c884, (q31_t)0xcb697db0, (q31_t)0x7489571c, (q31_t)0xcb0de658,
+  (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, (q31_t)0x74359cbd, (q31_t)0xca5719db, (q31_t)0x740b53fb, (q31_t)0xc9fbe527, (q31_t)0x73e0c3a3, (q31_t)0xc9a0d1c5,
+  (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x738acc9e, (q31_t)0xc8eb0fd6, (q31_t)0x735f6626, (q31_t)0xc89061ba, (q31_t)0x7333b883, (q31_t)0xc835d5d0,
+  (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72db8828, (q31_t)0xc7812572, (q31_t)0x72af05a7, (q31_t)0xc727016d, (q31_t)0x72823c67, (q31_t)0xc6cd0079,
+  (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x7227d61c, (q31_t)0xc61968a2, (q31_t)0x71fa3949, (q31_t)0xc5bfd22e, (q31_t)0x71cc5626, (q31_t)0xc5665fa9,
+  (q31_t)0x719e2cd2, (q31_t)0xc50d1149, (q31_t)0x716fbd68, (q31_t)0xc4b3e746, (q31_t)0x71410805, (q31_t)0xc45ae1d7, (q31_t)0x71120cc5, (q31_t)0xc4020133,
+  (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x70b34525, (q31_t)0xc350af26, (q31_t)0x708378ff, (q31_t)0xc2f83e2a, (q31_t)0x70536771, (q31_t)0xc29ff2d4,
+  (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x6ff27497, (q31_t)0xc1efcdf3, (q31_t)0x6fc19385, (q31_t)0xc197f4d4, (q31_t)0x6f906d84, (q31_t)0xc1404233,
+  (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6f2d532c, (q31_t)0xc0915148, (q31_t)0x6efb5f12, (q31_t)0xc03a1368, (q31_t)0x6ec92683, (q31_t)0xbfe2fcdf,
+  (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, (q31_t)0x6e63e87f, (q31_t)0xbf3546a8, (q31_t)0x6e30e34a, (q31_t)0xbedea765, (q31_t)0x6dfd9a1c, (q31_t)0xbe88304f,
+  (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6d963c54, (q31_t)0xbddbbb7f, (q31_t)0x6d6227fa, (q31_t)0xbd85be30, (q31_t)0x6d2dd027, (q31_t)0xbd2fe9e2,
+  (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6cc45698, (q31_t)0xbc84bd1f, (q31_t)0x6c8f351c, (q31_t)0xbc2f6513, (q31_t)0x6c59d0a9, (q31_t)0xbbda36dd,
+  (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6bee3f62, (q31_t)0xbb3058c0, (q31_t)0x6bb812d1, (q31_t)0xbadba943, (q31_t)0x6b81a3cd, (q31_t)0xba87246d,
+  (q31_t)0x6b4af279, (q31_t)0xba32ca71, (q31_t)0x6b13fef5, (q31_t)0xb9de9b83, (q31_t)0x6adcc964, (q31_t)0xb98a97d8, (q31_t)0x6aa551e9, (q31_t)0xb936bfa4,
+  (q31_t)0x6a6d98a4, (q31_t)0xb8e31319, (q31_t)0x6a359db9, (q31_t)0xb88f926d, (q31_t)0x69fd614a, (q31_t)0xb83c3dd1, (q31_t)0x69c4e37a, (q31_t)0xb7e9157a,
+  (q31_t)0x698c246c, (q31_t)0xb796199b, (q31_t)0x69532442, (q31_t)0xb7434a67, (q31_t)0x6919e320, (q31_t)0xb6f0a812, (q31_t)0x68e06129, (q31_t)0xb69e32cd,
+  (q31_t)0x68a69e81, (q31_t)0xb64beacd, (q31_t)0x686c9b4b, (q31_t)0xb5f9d043, (q31_t)0x683257ab, (q31_t)0xb5a7e362, (q31_t)0x67f7d3c5, (q31_t)0xb556245e,
+  (q31_t)0x67bd0fbd, (q31_t)0xb5049368, (q31_t)0x67820bb7, (q31_t)0xb4b330b3, (q31_t)0x6746c7d8, (q31_t)0xb461fc70, (q31_t)0x670b4444, (q31_t)0xb410f6d3,
+  (q31_t)0x66cf8120, (q31_t)0xb3c0200c, (q31_t)0x66937e91, (q31_t)0xb36f784f, (q31_t)0x66573cbb, (q31_t)0xb31effcc, (q31_t)0x661abbc5, (q31_t)0xb2ceb6b5,
+  (q31_t)0x65ddfbd3, (q31_t)0xb27e9d3c, (q31_t)0x65a0fd0b, (q31_t)0xb22eb392, (q31_t)0x6563bf92, (q31_t)0xb1def9e9, (q31_t)0x6526438f, (q31_t)0xb18f7071,
+  (q31_t)0x64e88926, (q31_t)0xb140175b, (q31_t)0x64aa907f, (q31_t)0xb0f0eeda, (q31_t)0x646c59bf, (q31_t)0xb0a1f71d, (q31_t)0x642de50d, (q31_t)0xb0533055,
+  (q31_t)0x63ef3290, (q31_t)0xb0049ab3, (q31_t)0x63b0426d, (q31_t)0xafb63667, (q31_t)0x637114cc, (q31_t)0xaf6803a2, (q31_t)0x6331a9d4, (q31_t)0xaf1a0293,
+  (q31_t)0x62f201ac, (q31_t)0xaecc336c, (q31_t)0x62b21c7b, (q31_t)0xae7e965b, (q31_t)0x6271fa69, (q31_t)0xae312b92, (q31_t)0x62319b9d, (q31_t)0xade3f33e,
+  (q31_t)0x61f1003f, (q31_t)0xad96ed92, (q31_t)0x61b02876, (q31_t)0xad4a1aba, (q31_t)0x616f146c, (q31_t)0xacfd7ae8, (q31_t)0x612dc447, (q31_t)0xacb10e4b,
+  (q31_t)0x60ec3830, (q31_t)0xac64d510, (q31_t)0x60aa7050, (q31_t)0xac18cf69, (q31_t)0x60686ccf, (q31_t)0xabccfd83, (q31_t)0x60262dd6, (q31_t)0xab815f8d,
+  (q31_t)0x5fe3b38d, (q31_t)0xab35f5b5, (q31_t)0x5fa0fe1f, (q31_t)0xaaeac02c, (q31_t)0x5f5e0db3, (q31_t)0xaa9fbf1e, (q31_t)0x5f1ae274, (q31_t)0xaa54f2ba,
+  (q31_t)0x5ed77c8a, (q31_t)0xaa0a5b2e, (q31_t)0x5e93dc1f, (q31_t)0xa9bff8a8, (q31_t)0x5e50015d, (q31_t)0xa975cb57, (q31_t)0x5e0bec6e, (q31_t)0xa92bd367,
+  (q31_t)0x5dc79d7c, (q31_t)0xa8e21106, (q31_t)0x5d8314b1, (q31_t)0xa8988463, (q31_t)0x5d3e5237, (q31_t)0xa84f2daa, (q31_t)0x5cf95638, (q31_t)0xa8060d08,
+  (q31_t)0x5cb420e0, (q31_t)0xa7bd22ac, (q31_t)0x5c6eb258, (q31_t)0xa7746ec0, (q31_t)0x5c290acc, (q31_t)0xa72bf174, (q31_t)0x5be32a67, (q31_t)0xa6e3aaf2,
+  (q31_t)0x5b9d1154, (q31_t)0xa69b9b68, (q31_t)0x5b56bfbd, (q31_t)0xa653c303, (q31_t)0x5b1035cf, (q31_t)0xa60c21ee, (q31_t)0x5ac973b5, (q31_t)0xa5c4b855,
+  (q31_t)0x5a82799a, (q31_t)0xa57d8666, (q31_t)0x5a3b47ab, (q31_t)0xa5368c4b, (q31_t)0x59f3de12, (q31_t)0xa4efca31, (q31_t)0x59ac3cfd, (q31_t)0xa4a94043,
+  (q31_t)0x59646498, (q31_t)0xa462eeac, (q31_t)0x591c550e, (q31_t)0xa41cd599, (q31_t)0x58d40e8c, (q31_t)0xa3d6f534, (q31_t)0x588b9140, (q31_t)0xa3914da8,
+  (q31_t)0x5842dd54, (q31_t)0xa34bdf20, (q31_t)0x57f9f2f8, (q31_t)0xa306a9c8, (q31_t)0x57b0d256, (q31_t)0xa2c1adc9, (q31_t)0x57677b9d, (q31_t)0xa27ceb4f,
+  (q31_t)0x571deefa, (q31_t)0xa2386284, (q31_t)0x56d42c99, (q31_t)0xa1f41392, (q31_t)0x568a34a9, (q31_t)0xa1affea3, (q31_t)0x56400758, (q31_t)0xa16c23e1,
+  (q31_t)0x55f5a4d2, (q31_t)0xa1288376, (q31_t)0x55ab0d46, (q31_t)0xa0e51d8c, (q31_t)0x556040e2, (q31_t)0xa0a1f24d, (q31_t)0x55153fd4, (q31_t)0xa05f01e1,
+  (q31_t)0x54ca0a4b, (q31_t)0xa01c4c73, (q31_t)0x547ea073, (q31_t)0x9fd9d22a, (q31_t)0x5433027d, (q31_t)0x9f979331, (q31_t)0x53e73097, (q31_t)0x9f558fb0,
+  (q31_t)0x539b2af0, (q31_t)0x9f13c7d0, (q31_t)0x534ef1b5, (q31_t)0x9ed23bb9, (q31_t)0x53028518, (q31_t)0x9e90eb94, (q31_t)0x52b5e546, (q31_t)0x9e4fd78a,
+  (q31_t)0x5269126e, (q31_t)0x9e0effc1, (q31_t)0x521c0cc2, (q31_t)0x9dce6463, (q31_t)0x51ced46e, (q31_t)0x9d8e0597, (q31_t)0x518169a5, (q31_t)0x9d4de385,
+  (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x50e5fd6d, (q31_t)0x9cce562c, (q31_t)0x5097fc5e, (q31_t)0x9c8eeb34, (q31_t)0x5049c999, (q31_t)0x9c4fbd93,
+  (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4faccfab, (q31_t)0x9bd21af3, (q31_t)0x4f5e08e3, (q31_t)0x9b93a641, (q31_t)0x4f0f1126, (q31_t)0x9b556f81,
+  (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4e708f8f, (q31_t)0x9ad9bc71, (q31_t)0x4e210617, (q31_t)0x9a9c406e, (q31_t)0x4dd14c6e, (q31_t)0x9a5f02f5,
+  (q31_t)0x4d8162c4, (q31_t)0x9a22042d, (q31_t)0x4d31494b, (q31_t)0x99e5443b, (q31_t)0x4ce10034, (q31_t)0x99a8c345, (q31_t)0x4c9087b1, (q31_t)0x996c816f,
+  (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4bef092d, (q31_t)0x98f4bbbc, (q31_t)0x4b9e0390, (q31_t)0x98b93828, (q31_t)0x4b4ccf4d, (q31_t)0x987df449,
+  (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x4aa9dba2, (q31_t)0x98082c3b, (q31_t)0x4a581c9e, (q31_t)0x97cda855, (q31_t)0x4a062fbd, (q31_t)0x979364b5,
+  (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x4961cd33, (q31_t)0x971f9ed7, (q31_t)0x490f57ee, (q31_t)0x96e61ce0, (q31_t)0x48bcb599, (q31_t)0x96acdbbe,
+  (q31_t)0x4869e665, (q31_t)0x9673db94, (q31_t)0x4816ea86, (q31_t)0x963b1c86, (q31_t)0x47c3c22f, (q31_t)0x96029eb6, (q31_t)0x47706d93, (q31_t)0x95ca6247,
+  (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x46c9405c, (q31_t)0x955aae17, (q31_t)0x46756828, (q31_t)0x9523369c, (q31_t)0x4621647d, (q31_t)0x94ec010b,
+  (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x4578db93, (q31_t)0x947e5c33, (q31_t)0x452456bd, (q31_t)0x9447ed2f, (q31_t)0x44cfa740, (q31_t)0x9411c09e,
+  (q31_t)0x447acd50, (q31_t)0x93dbd6a0, (q31_t)0x4425c923, (q31_t)0x93a62f57, (q31_t)0x43d09aed, (q31_t)0x9370cae4, (q31_t)0x437b42e1, (q31_t)0x933ba968,
+  (q31_t)0x4325c135, (q31_t)0x9306cb04, (q31_t)0x42d0161e, (q31_t)0x92d22fd9, (q31_t)0x427a41d0, (q31_t)0x929dd806, (q31_t)0x42244481, (q31_t)0x9269c3ac,
+  (q31_t)0x41ce1e65, (q31_t)0x9235f2ec, (q31_t)0x4177cfb1, (q31_t)0x920265e4, (q31_t)0x4121589b, (q31_t)0x91cf1cb6, (q31_t)0x40cab958, (q31_t)0x919c1781,
+  (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x401d0321, (q31_t)0x9136d97d, (q31_t)0x3fc5ec98, (q31_t)0x9104a0ee, (q31_t)0x3f6eaeb8, (q31_t)0x90d2acd4,
+  (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3ebfbdcd, (q31_t)0x906f927c, (q31_t)0x3e680b2c, (q31_t)0x903e6c7b, (q31_t)0x3e10320d, (q31_t)0x900d8b69,
+  (q31_t)0x3db832a6, (q31_t)0x8fdcef66, (q31_t)0x3d600d2c, (q31_t)0x8fac988f, (q31_t)0x3d07c1d6, (q31_t)0x8f7c8701, (q31_t)0x3caf50da, (q31_t)0x8f4cbadb,
+  (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3bfdfecd, (q31_t)0x8eedf33b, (q31_t)0x3ba51e29, (q31_t)0x8ebef7fb, (q31_t)0x3b4c18ba, (q31_t)0x8e904298,
+  (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x3a99a057, (q31_t)0x8e33a9da, (q31_t)0x3a402dd2, (q31_t)0x8e05c6b7, (q31_t)0x39e6975e, (q31_t)0x8dd829e4,
+  (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x3932ff87, (q31_t)0x8d7dc399, (q31_t)0x38d8fe93, (q31_t)0x8d50fa59, (q31_t)0x387eda8e, (q31_t)0x8d2477d8,
+  (q31_t)0x382493b0, (q31_t)0x8cf83c30, (q31_t)0x37ca2a30, (q31_t)0x8ccc477d, (q31_t)0x376f9e46, (q31_t)0x8ca099da, (q31_t)0x3714f02a, (q31_t)0x8c753362,
+  (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x365f2e3b, (q31_t)0x8c1f3c5d, (q31_t)0x36041ad9, (q31_t)0x8bf4ac05, (q31_t)0x35a8e625, (q31_t)0x8bca6343,
+  (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x34f219a8, (q31_t)0x8b76a8e4, (q31_t)0x34968250, (q31_t)0x8b4d377c, (q31_t)0x343aca87, (q31_t)0x8b240e11,
+  (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x3382fa88, (q31_t)0x8ad29394, (q31_t)0x3326e2c3, (q31_t)0x8aaa42b4, (q31_t)0x32caab6f, (q31_t)0x8a823a36,
+  (q31_t)0x326e54c7, (q31_t)0x8a5a7a31, (q31_t)0x3211df04, (q31_t)0x8a3302be, (q31_t)0x31b54a5e, (q31_t)0x8a0bd3f5, (q31_t)0x3158970e, (q31_t)0x89e4edef,
+  (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x309ed556, (q31_t)0x8997fc8a, (q31_t)0x3041c761, (q31_t)0x8971f15a, (q31_t)0x2fe49ba7, (q31_t)0x894c2f4c,
+  (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2f29ebcc, (q31_t)0x890186f2, (q31_t)0x2ecc681e, (q31_t)0x88dca0d3, (q31_t)0x2e6ec792, (q31_t)0x88b80432,
+  (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2db330c7, (q31_t)0x886fa7c2, (q31_t)0x2d553afc, (q31_t)0x884be821, (q31_t)0x2cf72939, (q31_t)0x88287256,
+  (q31_t)0x2c98fbba, (q31_t)0x88054677, (q31_t)0x2c3ab2b9, (q31_t)0x87e2649b, (q31_t)0x2bdc4e6f, (q31_t)0x87bfccd7, (q31_t)0x2b7dcf17, (q31_t)0x879d7f41,
+  (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x2ac08026, (q31_t)0x8759c2ef, (q31_t)0x2a61b101, (q31_t)0x8738545e, (q31_t)0x2a02c7b8, (q31_t)0x8717304e,
+  (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x2944a7a2, (q31_t)0x86d5c802, (q31_t)0x28e5714b, (q31_t)0x86b583ee, (q31_t)0x288621b9, (q31_t)0x86958aac,
+  (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x27c737d3, (q31_t)0x865678eb, (q31_t)0x27679df4, (q31_t)0x86376092, (q31_t)0x2707ebc7, (q31_t)0x86189359,
+  (q31_t)0x26a82186, (q31_t)0x85fa1153, (q31_t)0x26483f6c, (q31_t)0x85dbda91, (q31_t)0x25e845b6, (q31_t)0x85bdef28, (q31_t)0x2588349d, (q31_t)0x85a04f28,
+  (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x24c7cd33, (q31_t)0x8565f1b0, (q31_t)0x24677758, (q31_t)0x8549345c, (q31_t)0x24070b08, (q31_t)0x852cc2bb,
+  (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x2345eff8, (q31_t)0x84f4c2d4, (q31_t)0x22e541af, (q31_t)0x84d934b1, (q31_t)0x22847de0, (q31_t)0x84bdf286,
+  (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x21c2b69c, (q31_t)0x84885258, (q31_t)0x2161b3a0, (q31_t)0x846df477, (q31_t)0x21009c0c, (q31_t)0x8453e2cf,
+  (q31_t)0x209f701c, (q31_t)0x843a1d70, (q31_t)0x203e300d, (q31_t)0x8420a46c, (q31_t)0x1fdcdc1b, (q31_t)0x840777d0, (q31_t)0x1f7b7481, (q31_t)0x83ee97ad,
+  (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1eb86b46, (q31_t)0x83bdbd0e, (q31_t)0x1e56ca1e, (q31_t)0x83a5c2b0, (q31_t)0x1df5163f, (q31_t)0x838e1507,
+  (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1d31774d, (q31_t)0x835fa00f, (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1c6d9053, (q31_t)0x83325e97,
+  (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1b4732ef, (q31_t)0x82f0bde8, (q31_t)0x1ae4f1d6, (q31_t)0x82db77e5,
+  (q31_t)0x1a82a026, (q31_t)0x82c67f14, (q31_t)0x1a203e1b, (q31_t)0x82b1d381, (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x195b49ea, (q31_t)0x8289644b,
+  (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x18961728, (q31_t)0x82622aa6, (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x17d0a7bc, (q31_t)0x823c26f3,
+  (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x16451a83, (q31_t)0x81f3c2d7,
+  (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x14b8b17f, (q31_t)0x81b03ac2,
+  (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x132b7bf9, (q31_t)0x8171914e,
+  (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x119d8941, (q31_t)0x8137c8e6,
+  (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x100ee8ad, (q31_t)0x8102e3c4,
+  (q31_t)0x0fab272b, (q31_t)0x80f66e3c, (q31_t)0x0f475bff, (q31_t)0x80ea4712, (q31_t)0x0ee38766, (q31_t)0x80de6e4c, (q31_t)0x0e7fa99e, (q31_t)0x80d2e3f2,
+  (q31_t)0x0e1bc2e4, (q31_t)0x80c7a80a, (q31_t)0x0db7d376, (q31_t)0x80bcba9d, (q31_t)0x0d53db92, (q31_t)0x80b21baf, (q31_t)0x0cefdb76, (q31_t)0x80a7cb49,
+  (q31_t)0x0c8bd35e, (q31_t)0x809dc971, (q31_t)0x0c27c389, (q31_t)0x8094162c, (q31_t)0x0bc3ac35, (q31_t)0x808ab180, (q31_t)0x0b5f8d9f, (q31_t)0x80819b74,
+  (q31_t)0x0afb6805, (q31_t)0x8078d40d, (q31_t)0x0a973ba5, (q31_t)0x80705b50, (q31_t)0x0a3308bd, (q31_t)0x80683143, (q31_t)0x09cecf89, (q31_t)0x806055eb,
+  (q31_t)0x096a9049, (q31_t)0x8058c94c, (q31_t)0x09064b3a, (q31_t)0x80518b6b, (q31_t)0x08a2009a, (q31_t)0x804a9c4d, (q31_t)0x083db0a7, (q31_t)0x8043fbf6,
+  (q31_t)0x07d95b9e, (q31_t)0x803daa6a, (q31_t)0x077501be, (q31_t)0x8037a7ac, (q31_t)0x0710a345, (q31_t)0x8031f3c2, (q31_t)0x06ac406f, (q31_t)0x802c8ead,
+  (q31_t)0x0647d97c, (q31_t)0x80277872, (q31_t)0x05e36ea9, (q31_t)0x8022b114, (q31_t)0x057f0035, (q31_t)0x801e3895, (q31_t)0x051a8e5c, (q31_t)0x801a0ef8,
+  (q31_t)0x04b6195d, (q31_t)0x80163440, (q31_t)0x0451a177, (q31_t)0x8012a86f, (q31_t)0x03ed26e6, (q31_t)0x800f6b88, (q31_t)0x0388a9ea, (q31_t)0x800c7d8c,
+  (q31_t)0x03242abf, (q31_t)0x8009de7e, (q31_t)0x02bfa9a4, (q31_t)0x80078e5e, (q31_t)0x025b26d7, (q31_t)0x80058d2f, (q31_t)0x01f6a297, (q31_t)0x8003daf1,
+  (q31_t)0x01921d20, (q31_t)0x800277a6, (q31_t)0x012d96b1, (q31_t)0x8001634e, (q31_t)0x00c90f88, (q31_t)0x80009dea, (q31_t)0x006487e3, (q31_t)0x8000277a
+};
+    const q31_t cos_factorsQ31_512[512] = {
+  (q31_t)0x7ffff621, (q31_t)0x7fffa72c, (q31_t)0x7fff0943, (q31_t)0x7ffe1c65, (q31_t)0x7ffce093, (q31_t)0x7ffb55ce,
+  (q31_t)0x7ff97c18, (q31_t)0x7ff75370,
+  (q31_t)0x7ff4dbd9, (q31_t)0x7ff21553, (q31_t)0x7feeffe1, (q31_t)0x7feb9b85, (q31_t)0x7fe7e841, (q31_t)0x7fe3e616,
+  (q31_t)0x7fdf9508, (q31_t)0x7fdaf519,
+  (q31_t)0x7fd6064c, (q31_t)0x7fd0c8a3, (q31_t)0x7fcb3c23, (q31_t)0x7fc560cf, (q31_t)0x7fbf36aa, (q31_t)0x7fb8bdb8,
+  (q31_t)0x7fb1f5fc, (q31_t)0x7faadf7c,
+  (q31_t)0x7fa37a3c, (q31_t)0x7f9bc640, (q31_t)0x7f93c38c, (q31_t)0x7f8b7227, (q31_t)0x7f82d214, (q31_t)0x7f79e35a,
+  (q31_t)0x7f70a5fe, (q31_t)0x7f671a05,
+  (q31_t)0x7f5d3f75, (q31_t)0x7f531655, (q31_t)0x7f489eaa, (q31_t)0x7f3dd87c, (q31_t)0x7f32c3d1, (q31_t)0x7f2760af,
+  (q31_t)0x7f1baf1e, (q31_t)0x7f0faf25,
+  (q31_t)0x7f0360cb, (q31_t)0x7ef6c418, (q31_t)0x7ee9d914, (q31_t)0x7edc9fc6, (q31_t)0x7ecf1837, (q31_t)0x7ec14270,
+  (q31_t)0x7eb31e78, (q31_t)0x7ea4ac58,
+  (q31_t)0x7e95ec1a, (q31_t)0x7e86ddc6, (q31_t)0x7e778166, (q31_t)0x7e67d703, (q31_t)0x7e57dea7, (q31_t)0x7e47985b,
+  (q31_t)0x7e37042a, (q31_t)0x7e26221f,
+  (q31_t)0x7e14f242, (q31_t)0x7e0374a0, (q31_t)0x7df1a942, (q31_t)0x7ddf9034, (q31_t)0x7dcd2981, (q31_t)0x7dba7534,
+  (q31_t)0x7da77359, (q31_t)0x7d9423fc,
+  (q31_t)0x7d808728, (q31_t)0x7d6c9ce9, (q31_t)0x7d58654d, (q31_t)0x7d43e05e, (q31_t)0x7d2f0e2b, (q31_t)0x7d19eebf,
+  (q31_t)0x7d048228, (q31_t)0x7ceec873,
+  (q31_t)0x7cd8c1ae, (q31_t)0x7cc26de5, (q31_t)0x7cabcd28, (q31_t)0x7c94df83, (q31_t)0x7c7da505, (q31_t)0x7c661dbc,
+  (q31_t)0x7c4e49b7, (q31_t)0x7c362904,
+  (q31_t)0x7c1dbbb3, (q31_t)0x7c0501d2, (q31_t)0x7bebfb70, (q31_t)0x7bd2a89e, (q31_t)0x7bb9096b, (q31_t)0x7b9f1de6,
+  (q31_t)0x7b84e61f, (q31_t)0x7b6a6227,
+  (q31_t)0x7b4f920e, (q31_t)0x7b3475e5, (q31_t)0x7b190dbc, (q31_t)0x7afd59a4, (q31_t)0x7ae159ae, (q31_t)0x7ac50dec,
+  (q31_t)0x7aa8766f, (q31_t)0x7a8b9348,
+  (q31_t)0x7a6e648a, (q31_t)0x7a50ea47, (q31_t)0x7a332490, (q31_t)0x7a151378, (q31_t)0x79f6b711, (q31_t)0x79d80f6f,
+  (q31_t)0x79b91ca4, (q31_t)0x7999dec4,
+  (q31_t)0x797a55e0, (q31_t)0x795a820e, (q31_t)0x793a6361, (q31_t)0x7919f9ec, (q31_t)0x78f945c3, (q31_t)0x78d846fb,
+  (q31_t)0x78b6fda8, (q31_t)0x789569df,
+  (q31_t)0x78738bb3, (q31_t)0x7851633b, (q31_t)0x782ef08b, (q31_t)0x780c33b8, (q31_t)0x77e92cd9, (q31_t)0x77c5dc01,
+  (q31_t)0x77a24148, (q31_t)0x777e5cc3,
+  (q31_t)0x775a2e89, (q31_t)0x7735b6af, (q31_t)0x7710f54c, (q31_t)0x76ebea77, (q31_t)0x76c69647, (q31_t)0x76a0f8d2,
+  (q31_t)0x767b1231, (q31_t)0x7654e279,
+  (q31_t)0x762e69c4, (q31_t)0x7607a828, (q31_t)0x75e09dbd, (q31_t)0x75b94a9c, (q31_t)0x7591aedd, (q31_t)0x7569ca99,
+  (q31_t)0x75419de7, (q31_t)0x751928e0,
+  (q31_t)0x74f06b9e, (q31_t)0x74c7663a, (q31_t)0x749e18cd, (q31_t)0x74748371, (q31_t)0x744aa63f, (q31_t)0x74208150,
+  (q31_t)0x73f614c0, (q31_t)0x73cb60a8,
+  (q31_t)0x73a06522, (q31_t)0x73752249, (q31_t)0x73499838, (q31_t)0x731dc70a, (q31_t)0x72f1aed9, (q31_t)0x72c54fc1,
+  (q31_t)0x7298a9dd, (q31_t)0x726bbd48,
+  (q31_t)0x723e8a20, (q31_t)0x7211107e, (q31_t)0x71e35080, (q31_t)0x71b54a41, (q31_t)0x7186fdde, (q31_t)0x71586b74,
+  (q31_t)0x7129931f, (q31_t)0x70fa74fc,
+  (q31_t)0x70cb1128, (q31_t)0x709b67c0, (q31_t)0x706b78e3, (q31_t)0x703b44ad, (q31_t)0x700acb3c, (q31_t)0x6fda0cae,
+  (q31_t)0x6fa90921, (q31_t)0x6f77c0b3,
+  (q31_t)0x6f463383, (q31_t)0x6f1461b0, (q31_t)0x6ee24b57, (q31_t)0x6eaff099, (q31_t)0x6e7d5193, (q31_t)0x6e4a6e66,
+  (q31_t)0x6e174730, (q31_t)0x6de3dc11,
+  (q31_t)0x6db02d29, (q31_t)0x6d7c3a98, (q31_t)0x6d48047e, (q31_t)0x6d138afb, (q31_t)0x6cdece2f, (q31_t)0x6ca9ce3b,
+  (q31_t)0x6c748b3f, (q31_t)0x6c3f055d,
+  (q31_t)0x6c093cb6, (q31_t)0x6bd3316a, (q31_t)0x6b9ce39b, (q31_t)0x6b66536b, (q31_t)0x6b2f80fb, (q31_t)0x6af86c6c,
+  (q31_t)0x6ac115e2, (q31_t)0x6a897d7d,
+  (q31_t)0x6a51a361, (q31_t)0x6a1987b0, (q31_t)0x69e12a8c, (q31_t)0x69a88c19, (q31_t)0x696fac78, (q31_t)0x69368bce,
+  (q31_t)0x68fd2a3d, (q31_t)0x68c387e9,
+  (q31_t)0x6889a4f6, (q31_t)0x684f8186, (q31_t)0x68151dbe, (q31_t)0x67da79c3, (q31_t)0x679f95b7, (q31_t)0x676471c0,
+  (q31_t)0x67290e02, (q31_t)0x66ed6aa1,
+  (q31_t)0x66b187c3, (q31_t)0x6675658c, (q31_t)0x66390422, (q31_t)0x65fc63a9, (q31_t)0x65bf8447, (q31_t)0x65826622,
+  (q31_t)0x6545095f, (q31_t)0x65076e25,
+  (q31_t)0x64c99498, (q31_t)0x648b7ce0, (q31_t)0x644d2722, (q31_t)0x640e9386, (q31_t)0x63cfc231, (q31_t)0x6390b34a,
+  (q31_t)0x635166f9, (q31_t)0x6311dd64,
+  (q31_t)0x62d216b3, (q31_t)0x6292130c, (q31_t)0x6251d298, (q31_t)0x6211557e, (q31_t)0x61d09be5, (q31_t)0x618fa5f7,
+  (q31_t)0x614e73da, (q31_t)0x610d05b7,
+  (q31_t)0x60cb5bb7, (q31_t)0x60897601, (q31_t)0x604754bf, (q31_t)0x6004f819, (q31_t)0x5fc26038, (q31_t)0x5f7f8d46,
+  (q31_t)0x5f3c7f6b, (q31_t)0x5ef936d1,
+  (q31_t)0x5eb5b3a2, (q31_t)0x5e71f606, (q31_t)0x5e2dfe29, (q31_t)0x5de9cc33, (q31_t)0x5da5604f, (q31_t)0x5d60baa7,
+  (q31_t)0x5d1bdb65, (q31_t)0x5cd6c2b5,
+  (q31_t)0x5c9170bf, (q31_t)0x5c4be5b0, (q31_t)0x5c0621b2, (q31_t)0x5bc024f0, (q31_t)0x5b79ef96, (q31_t)0x5b3381ce,
+  (q31_t)0x5aecdbc5, (q31_t)0x5aa5fda5,
+  (q31_t)0x5a5ee79a, (q31_t)0x5a1799d1, (q31_t)0x59d01475, (q31_t)0x598857b2, (q31_t)0x594063b5, (q31_t)0x58f838a9,
+  (q31_t)0x58afd6bd, (q31_t)0x58673e1b,
+  (q31_t)0x581e6ef1, (q31_t)0x57d5696d, (q31_t)0x578c2dba, (q31_t)0x5742bc06, (q31_t)0x56f9147e, (q31_t)0x56af3750,
+  (q31_t)0x566524aa, (q31_t)0x561adcb9,
+  (q31_t)0x55d05faa, (q31_t)0x5585adad, (q31_t)0x553ac6ee, (q31_t)0x54efab9c, (q31_t)0x54a45be6, (q31_t)0x5458d7f9,
+  (q31_t)0x540d2005, (q31_t)0x53c13439,
+  (q31_t)0x537514c2, (q31_t)0x5328c1d0, (q31_t)0x52dc3b92, (q31_t)0x528f8238, (q31_t)0x524295f0, (q31_t)0x51f576ea,
+  (q31_t)0x51a82555, (q31_t)0x515aa162,
+  (q31_t)0x510ceb40, (q31_t)0x50bf031f, (q31_t)0x5070e92f, (q31_t)0x50229da1, (q31_t)0x4fd420a4, (q31_t)0x4f857269,
+  (q31_t)0x4f369320, (q31_t)0x4ee782fb,
+  (q31_t)0x4e984229, (q31_t)0x4e48d0dd, (q31_t)0x4df92f46, (q31_t)0x4da95d96, (q31_t)0x4d595bfe, (q31_t)0x4d092ab0,
+  (q31_t)0x4cb8c9dd, (q31_t)0x4c6839b7,
+  (q31_t)0x4c177a6e, (q31_t)0x4bc68c36, (q31_t)0x4b756f40, (q31_t)0x4b2423be, (q31_t)0x4ad2a9e2, (q31_t)0x4a8101de,
+  (q31_t)0x4a2f2be6, (q31_t)0x49dd282a,
+  (q31_t)0x498af6df, (q31_t)0x49389836, (q31_t)0x48e60c62, (q31_t)0x48935397, (q31_t)0x48406e08, (q31_t)0x47ed5be6,
+  (q31_t)0x479a1d67, (q31_t)0x4746b2bc,
+  (q31_t)0x46f31c1a, (q31_t)0x469f59b4, (q31_t)0x464b6bbe, (q31_t)0x45f7526b, (q31_t)0x45a30df0, (q31_t)0x454e9e80,
+  (q31_t)0x44fa0450, (q31_t)0x44a53f93,
+  (q31_t)0x4450507e, (q31_t)0x43fb3746, (q31_t)0x43a5f41e, (q31_t)0x4350873c, (q31_t)0x42faf0d4, (q31_t)0x42a5311b,
+  (q31_t)0x424f4845, (q31_t)0x41f93689,
+  (q31_t)0x41a2fc1a, (q31_t)0x414c992f, (q31_t)0x40f60dfb, (q31_t)0x409f5ab6, (q31_t)0x40487f94, (q31_t)0x3ff17cca,
+  (q31_t)0x3f9a5290, (q31_t)0x3f430119,
+  (q31_t)0x3eeb889c, (q31_t)0x3e93e950, (q31_t)0x3e3c2369, (q31_t)0x3de4371f, (q31_t)0x3d8c24a8, (q31_t)0x3d33ec39,
+  (q31_t)0x3cdb8e09, (q31_t)0x3c830a50,
+  (q31_t)0x3c2a6142, (q31_t)0x3bd19318, (q31_t)0x3b78a007, (q31_t)0x3b1f8848, (q31_t)0x3ac64c0f, (q31_t)0x3a6ceb96,
+  (q31_t)0x3a136712, (q31_t)0x39b9bebc,
+  (q31_t)0x395ff2c9, (q31_t)0x39060373, (q31_t)0x38abf0ef, (q31_t)0x3851bb77, (q31_t)0x37f76341, (q31_t)0x379ce885,
+  (q31_t)0x37424b7b, (q31_t)0x36e78c5b,
+  (q31_t)0x368cab5c, (q31_t)0x3631a8b8, (q31_t)0x35d684a6, (q31_t)0x357b3f5d, (q31_t)0x351fd918, (q31_t)0x34c4520d,
+  (q31_t)0x3468aa76, (q31_t)0x340ce28b,
+  (q31_t)0x33b0fa84, (q31_t)0x3354f29b, (q31_t)0x32f8cb07, (q31_t)0x329c8402, (q31_t)0x32401dc6, (q31_t)0x31e39889,
+  (q31_t)0x3186f487, (q31_t)0x312a31f8,
+  (q31_t)0x30cd5115, (q31_t)0x30705217, (q31_t)0x30133539, (q31_t)0x2fb5fab2, (q31_t)0x2f58a2be, (q31_t)0x2efb2d95,
+  (q31_t)0x2e9d9b70, (q31_t)0x2e3fec8b,
+  (q31_t)0x2de2211e, (q31_t)0x2d843964, (q31_t)0x2d263596, (q31_t)0x2cc815ee, (q31_t)0x2c69daa6, (q31_t)0x2c0b83fa,
+  (q31_t)0x2bad1221, (q31_t)0x2b4e8558,
+  (q31_t)0x2aefddd8, (q31_t)0x2a911bdc, (q31_t)0x2a323f9e, (q31_t)0x29d34958, (q31_t)0x29743946, (q31_t)0x29150fa1,
+  (q31_t)0x28b5cca5, (q31_t)0x2856708d,
+  (q31_t)0x27f6fb92, (q31_t)0x27976df1, (q31_t)0x2737c7e3, (q31_t)0x26d809a5, (q31_t)0x26783370, (q31_t)0x26184581,
+  (q31_t)0x25b84012, (q31_t)0x2558235f,
+  (q31_t)0x24f7efa2, (q31_t)0x2497a517, (q31_t)0x243743fa, (q31_t)0x23d6cc87, (q31_t)0x23763ef7, (q31_t)0x23159b88,
+  (q31_t)0x22b4e274, (q31_t)0x225413f8,
+  (q31_t)0x21f3304f, (q31_t)0x219237b5, (q31_t)0x21312a65, (q31_t)0x20d0089c, (q31_t)0x206ed295, (q31_t)0x200d888d,
+  (q31_t)0x1fac2abf, (q31_t)0x1f4ab968,
+  (q31_t)0x1ee934c3, (q31_t)0x1e879d0d, (q31_t)0x1e25f282, (q31_t)0x1dc4355e, (q31_t)0x1d6265dd, (q31_t)0x1d00843d,
+  (q31_t)0x1c9e90b8, (q31_t)0x1c3c8b8c,
+  (q31_t)0x1bda74f6, (q31_t)0x1b784d30, (q31_t)0x1b161479, (q31_t)0x1ab3cb0d, (q31_t)0x1a517128, (q31_t)0x19ef0707,
+  (q31_t)0x198c8ce7, (q31_t)0x192a0304,
+  (q31_t)0x18c7699b, (q31_t)0x1864c0ea, (q31_t)0x1802092c, (q31_t)0x179f429f, (q31_t)0x173c6d80, (q31_t)0x16d98a0c,
+  (q31_t)0x1676987f, (q31_t)0x16139918,
+  (q31_t)0x15b08c12, (q31_t)0x154d71aa, (q31_t)0x14ea4a1f, (q31_t)0x148715ae, (q31_t)0x1423d492, (q31_t)0x13c0870a,
+  (q31_t)0x135d2d53, (q31_t)0x12f9c7aa,
+  (q31_t)0x1296564d, (q31_t)0x1232d979, (q31_t)0x11cf516a, (q31_t)0x116bbe60, (q31_t)0x11082096, (q31_t)0x10a4784b,
+  (q31_t)0x1040c5bb, (q31_t)0xfdd0926,
+  (q31_t)0xf7942c7, (q31_t)0xf1572dc, (q31_t)0xeb199a4, (q31_t)0xe4db75b, (q31_t)0xde9cc40, (q31_t)0xd85d88f, (q31_t)0xd21dc87,
+  (q31_t)0xcbdd865,
+  (q31_t)0xc59cc68, (q31_t)0xbf5b8cb, (q31_t)0xb919dcf, (q31_t)0xb2d7baf, (q31_t)0xac952aa, (q31_t)0xa6522fe, (q31_t)0xa00ece8,
+  (q31_t)0x99cb0a7,
+  (q31_t)0x9386e78, (q31_t)0x8d42699, (q31_t)0x86fd947, (q31_t)0x80b86c2, (q31_t)0x7a72f45, (q31_t)0x742d311, (q31_t)0x6de7262,
+  (q31_t)0x67a0d76,
+  (q31_t)0x615a48b, (q31_t)0x5b137df, (q31_t)0x54cc7b1, (q31_t)0x4e8543e, (q31_t)0x483ddc3, (q31_t)0x41f6480, (q31_t)0x3bae8b2,
+  (q31_t)0x3566a96,
+  (q31_t)0x2f1ea6c, (q31_t)0x28d6870, (q31_t)0x228e4e2, (q31_t)0x1c45ffe, (q31_t)0x15fda03, (q31_t)0xfb5330, (q31_t)0x96cbc1,
+  (q31_t)0x3243f5
+};
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048) 
+    const q31_t WeightsQ31_2048[4096] = {
+  (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7ffffd88, (q31_t)0xffe6de05, (q31_t)0x7ffff621, (q31_t)0xffcdbc0b, (q31_t)0x7fffe9cb, (q31_t)0xffb49a12,
+  (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fffc251, (q31_t)0xff82562c, (q31_t)0x7fffa72c, (q31_t)0xff69343f, (q31_t)0x7fff8719, (q31_t)0xff501258,
+  (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7fff3824, (q31_t)0xff1dcea0, (q31_t)0x7fff0943, (q31_t)0xff04acd0, (q31_t)0x7ffed572, (q31_t)0xfeeb8b0a,
+  (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, (q31_t)0x7ffe5f03, (q31_t)0xfeb947a0, (q31_t)0x7ffe1c65, (q31_t)0xfea025fd, (q31_t)0x7ffdd4d7, (q31_t)0xfe870467,
+  (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffd36ee, (q31_t)0xfe54c169, (q31_t)0x7ffce093, (q31_t)0xfe3ba002, (q31_t)0x7ffc8549, (q31_t)0xfe227eac,
+  (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffbbfe6, (q31_t)0xfdf03c3a, (q31_t)0x7ffb55ce, (q31_t)0xfdd71b1e, (q31_t)0x7ffae6c7, (q31_t)0xfdbdfa18,
+  (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ff9f9ec, (q31_t)0xfd8bb850, (q31_t)0x7ff97c18, (q31_t)0xfd729790, (q31_t)0x7ff8f954, (q31_t)0xfd5976e9,
+  (q31_t)0x7ff871a2, (q31_t)0xfd40565c, (q31_t)0x7ff7e500, (q31_t)0xfd2735ea, (q31_t)0x7ff75370, (q31_t)0xfd0e1594, (q31_t)0x7ff6bcf0, (q31_t)0xfcf4f55c,
+  (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff58125, (q31_t)0xfcc2b545, (q31_t)0x7ff4dbd9, (q31_t)0xfca9956a, (q31_t)0x7ff4319d, (q31_t)0xfc9075af,
+  (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff2ce5b, (q31_t)0xfc5e36a0, (q31_t)0x7ff21553, (q31_t)0xfc45174e, (q31_t)0x7ff1575d, (q31_t)0xfc2bf821,
+  (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7fefcca4, (q31_t)0xfbf9ba39, (q31_t)0x7feeffe1, (q31_t)0xfbe09b80, (q31_t)0x7fee2e30, (q31_t)0xfbc77cf0,
+  (q31_t)0x7fed5791, (q31_t)0xfbae5e89, (q31_t)0x7fec7c02, (q31_t)0xfb95404d, (q31_t)0x7feb9b85, (q31_t)0xfb7c223d, (q31_t)0x7feab61a, (q31_t)0xfb630459,
+  (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe8dc78, (q31_t)0xfb30c91b, (q31_t)0x7fe7e841, (q31_t)0xfb17abc2, (q31_t)0x7fe6ef1c, (q31_t)0xfafe8e9b,
+  (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe4ee06, (q31_t)0xfacc54e0, (q31_t)0x7fe3e616, (q31_t)0xfab3384f, (q31_t)0x7fe2d938, (q31_t)0xfa9a1bf3,
+  (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fe0b0b1, (q31_t)0xfa67e3da, (q31_t)0x7fdf9508, (q31_t)0xfa4ec821, (q31_t)0x7fde7471, (q31_t)0xfa35ac9f,
+  (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157, (q31_t)0x7fdc247a, (q31_t)0xfa037648, (q31_t)0x7fdaf519, (q31_t)0xf9ea5b75, (q31_t)0x7fd9c0ca, (q31_t)0xf9d140de,
+  (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd74964, (q31_t)0xf99f0c68, (q31_t)0x7fd6064c, (q31_t)0xf985f28a, (q31_t)0x7fd4be46, (q31_t)0xf96cd8ed,
+  (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fd21f72, (q31_t)0xf93aa676, (q31_t)0x7fd0c8a3, (q31_t)0xf9218d9e, (q31_t)0x7fcf6ce8, (q31_t)0xf908750a,
+  (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fcca6a7, (q31_t)0xf8d644b2, (q31_t)0x7fcb3c23, (q31_t)0xf8bd2cef, (q31_t)0x7fc9ccb2, (q31_t)0xf8a41574,
+  (q31_t)0x7fc85854, (q31_t)0xf88afe42, (q31_t)0x7fc6df08, (q31_t)0xf871e759, (q31_t)0x7fc560cf, (q31_t)0xf858d0bb, (q31_t)0x7fc3dda9, (q31_t)0xf83fba68,
+  (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fc0c896, (q31_t)0xf80d8ea9, (q31_t)0x7fbf36aa, (q31_t)0xf7f4793e, (q31_t)0x7fbd9fd0, (q31_t)0xf7db6423,
+  (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fba6357, (q31_t)0xf7a93ae0, (q31_t)0x7fb8bdb8, (q31_t)0xf79026b9, (q31_t)0x7fb7132b, (q31_t)0xf77712e5,
+  (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fb3af4e, (q31_t)0xf744ec3b, (q31_t)0x7fb1f5fc, (q31_t)0xf72bd967, (q31_t)0x7fb037bf, (q31_t)0xf712c6ea,
+  (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6, (q31_t)0x7facac7f, (q31_t)0xf6e0a2fa, (q31_t)0x7faadf7c, (q31_t)0xf6c79188, (q31_t)0x7fa90d8e, (q31_t)0xf6ae8071,
+  (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7fa55aee, (q31_t)0xf67c5f59, (q31_t)0x7fa37a3c, (q31_t)0xf6634f59, (q31_t)0x7fa1949e, (q31_t)0xf64a3fb8,
+  (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f9dbaa0, (q31_t)0xf6182196, (q31_t)0x7f9bc640, (q31_t)0xf5ff1318, (q31_t)0x7f99ccf4, (q31_t)0xf5e604fc,
+  (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f95cb9a, (q31_t)0xf5b3e9f0, (q31_t)0x7f93c38c, (q31_t)0xf59add02, (q31_t)0x7f91b694, (q31_t)0xf581d07b,
+  (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b, (q31_t)0x7f8d8de1, (q31_t)0xf54fb8a4, (q31_t)0x7f8b7227, (q31_t)0xf536ad56, (q31_t)0x7f895182, (q31_t)0xf51da273,
+  (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f850179, (q31_t)0xf4eb8def, (q31_t)0x7f82d214, (q31_t)0xf4d28451, (q31_t)0x7f809dc5, (q31_t)0xf4b97b21,
+  (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f7c2668, (q31_t)0xf4876a10, (q31_t)0x7f79e35a, (q31_t)0xf46e6231, (q31_t)0x7f779b62, (q31_t)0xf4555ac5,
+  (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f72fcb4, (q31_t)0xf4234d45, (q31_t)0x7f70a5fe, (q31_t)0xf40a4735, (q31_t)0x7f6e4a5e, (q31_t)0xf3f1419a,
+  (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77, (q31_t)0x7f698461, (q31_t)0xf3bf37cb, (q31_t)0x7f671a05, (q31_t)0xf3a63398, (q31_t)0x7f64aabf, (q31_t)0xf38d2fe0,
+  (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f5fbd77, (q31_t)0xf35b29e0, (q31_t)0x7f5d3f75, (q31_t)0xf342279b, (q31_t)0x7f5abc8a, (q31_t)0xf32925d3,
+  (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f55a7fa, (q31_t)0xf2f723c1, (q31_t)0x7f531655, (q31_t)0xf2de2379, (q31_t)0x7f507fc7, (q31_t)0xf2c523b2,
+  (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f4b43f2, (q31_t)0xf29325ad, (q31_t)0x7f489eaa, (q31_t)0xf27a2771, (q31_t)0x7f45f47b, (q31_t)0xf26129ba,
+  (q31_t)0x7f434563, (q31_t)0xf2482c8a, (q31_t)0x7f409164, (q31_t)0xf22f2fe1, (q31_t)0x7f3dd87c, (q31_t)0xf21633c0, (q31_t)0x7f3b1aad, (q31_t)0xf1fd3829,
+  (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f359057, (q31_t)0xf1cb429a, (q31_t)0x7f32c3d1, (q31_t)0xf1b248a5, (q31_t)0x7f2ff263, (q31_t)0xf1994f3d,
+  (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2a40d2, (q31_t)0xf1675e17, (q31_t)0x7f2760af, (q31_t)0xf14e665c, (q31_t)0x7f247ba5, (q31_t)0xf1356f32,
+  (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f1ea2dc, (q31_t)0xf1038295, (q31_t)0x7f1baf1e, (q31_t)0xf0ea8d24, (q31_t)0x7f18b679, (q31_t)0xf0d19848,
+  (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401, (q31_t)0x7f12b67c, (q31_t)0xf09fb051, (q31_t)0x7f0faf25, (q31_t)0xf086bd39, (q31_t)0x7f0ca2e7, (q31_t)0xf06dcaba,
+  (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7f067bba, (q31_t)0xf03be78a, (q31_t)0x7f0360cb, (q31_t)0xf022f6da, (q31_t)0x7f0040f6, (q31_t)0xf00a06c8,
+  (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7ef9f29d, (q31_t)0xefd8287c, (q31_t)0x7ef6c418, (q31_t)0xefbf3a45, (q31_t)0x7ef390ae, (q31_t)0xefa64cae,
+  (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7eed1b2c, (q31_t)0xef747365, (q31_t)0x7ee9d914, (q31_t)0xef5b87b5, (q31_t)0x7ee69217, (q31_t)0xef429caa,
+  (q31_t)0x7ee34636, (q31_t)0xef29b243, (q31_t)0x7edff570, (q31_t)0xef10c883, (q31_t)0x7edc9fc6, (q31_t)0xeef7df6a, (q31_t)0x7ed94538, (q31_t)0xeedef6f9,
+  (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ed28171, (q31_t)0xeead2813, (q31_t)0x7ecf1837, (q31_t)0xee9441a0, (q31_t)0x7ecbaa1a, (q31_t)0xee7b5bd9,
+  (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7ec4bf36, (q31_t)0xee499253, (q31_t)0x7ec14270, (q31_t)0xee30ae96, (q31_t)0x7ebdc0c6, (q31_t)0xee17cb88,
+  (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eb6aeca, (q31_t)0xede60780, (q31_t)0x7eb31e78, (q31_t)0xedcd2687, (q31_t)0x7eaf8943, (q31_t)0xedb44642,
+  (q31_t)0x7eabef2c, (q31_t)0xed9b66b2, (q31_t)0x7ea85033, (q31_t)0xed8287d7, (q31_t)0x7ea4ac58, (q31_t)0xed69a9b3, (q31_t)0x7ea1039b, (q31_t)0xed50cc46,
+  (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e99a37c, (q31_t)0xed1f1396, (q31_t)0x7e95ec1a, (q31_t)0xed063856, (q31_t)0x7e922fd6, (q31_t)0xeced5dd0,
+  (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e8aa8ac, (q31_t)0xecbbaafb, (q31_t)0x7e86ddc6, (q31_t)0xeca2d2ad, (q31_t)0x7e830dff, (q31_t)0xec89fb1e,
+  (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e7b5fce, (q31_t)0xec584e41, (q31_t)0x7e778166, (q31_t)0xec3f78f6, (q31_t)0x7e739e1d, (q31_t)0xec26a46d,
+  (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8, (q31_t)0x7e6bc8eb, (q31_t)0xebf4fda8, (q31_t)0x7e67d703, (q31_t)0xebdc2b6e, (q31_t)0x7e63e03b, (q31_t)0xebc359fb,
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+  (q31_t)0x7e4fc53e, (q31_t)0xeb474e81, (q31_t)0x7e4bb13c, (q31_t)0xeb2e81ca, (q31_t)0x7e47985b, (q31_t)0xeb15b5e1, (q31_t)0x7e437a9c, (q31_t)0xeafceac6,
+  (q31_t)0x7e3f57ff, (q31_t)0xeae4207a, (q31_t)0x7e3b3083, (q31_t)0xeacb56ff, (q31_t)0x7e37042a, (q31_t)0xeab28e56, (q31_t)0x7e32d2f4, (q31_t)0xea99c67e,
+  (q31_t)0x7e2e9cdf, (q31_t)0xea80ff7a, (q31_t)0x7e2a61ed, (q31_t)0xea683949, (q31_t)0x7e26221f, (q31_t)0xea4f73ee, (q31_t)0x7e21dd73, (q31_t)0xea36af69,
+  (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7e194584, (q31_t)0xea0528e5, (q31_t)0x7e14f242, (q31_t)0xe9ec66e8, (q31_t)0x7e109a24, (q31_t)0xe9d3a5c5,
+  (q31_t)0x7e0c3d29, (q31_t)0xe9bae57d, (q31_t)0x7e07db52, (q31_t)0xe9a22610, (q31_t)0x7e0374a0, (q31_t)0xe9896781, (q31_t)0x7dff0911, (q31_t)0xe970a9ce,
+  (q31_t)0x7dfa98a8, (q31_t)0xe957ecfb, (q31_t)0x7df62362, (q31_t)0xe93f3107, (q31_t)0x7df1a942, (q31_t)0xe92675f4, (q31_t)0x7ded2a47, (q31_t)0xe90dbbc2,
+  (q31_t)0x7de8a670, (q31_t)0xe8f50273, (q31_t)0x7de41dc0, (q31_t)0xe8dc4a07, (q31_t)0x7ddf9034, (q31_t)0xe8c39280, (q31_t)0x7ddafdce, (q31_t)0xe8aadbde,
+  (q31_t)0x7dd6668f, (q31_t)0xe8922622, (q31_t)0x7dd1ca75, (q31_t)0xe879714d, (q31_t)0x7dcd2981, (q31_t)0xe860bd61, (q31_t)0x7dc883b4, (q31_t)0xe8480a5d,
+  (q31_t)0x7dc3d90d, (q31_t)0xe82f5844, (q31_t)0x7dbf298d, (q31_t)0xe816a716, (q31_t)0x7dba7534, (q31_t)0xe7fdf6d4, (q31_t)0x7db5bc02, (q31_t)0xe7e5477f,
+  (q31_t)0x7db0fdf8, (q31_t)0xe7cc9917, (q31_t)0x7dac3b15, (q31_t)0xe7b3eb9f, (q31_t)0x7da77359, (q31_t)0xe79b3f16, (q31_t)0x7da2a6c6, (q31_t)0xe782937e,
+  (q31_t)0x7d9dd55a, (q31_t)0xe769e8d8, (q31_t)0x7d98ff17, (q31_t)0xe7513f25, (q31_t)0x7d9423fc, (q31_t)0xe7389665, (q31_t)0x7d8f4409, (q31_t)0xe71fee99,
+  (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d85759f, (q31_t)0xe6eea1e4, (q31_t)0x7d808728, (q31_t)0xe6d5fcfc, (q31_t)0x7d7b93da, (q31_t)0xe6bd590d,
+  (q31_t)0x7d769bb5, (q31_t)0xe6a4b616, (q31_t)0x7d719eba, (q31_t)0xe68c141a, (q31_t)0x7d6c9ce9, (q31_t)0xe6737319, (q31_t)0x7d679642, (q31_t)0xe65ad315,
+  (q31_t)0x7d628ac6, (q31_t)0xe642340d, (q31_t)0x7d5d7a74, (q31_t)0xe6299604, (q31_t)0x7d58654d, (q31_t)0xe610f8f9, (q31_t)0x7d534b50, (q31_t)0xe5f85cef,
+  (q31_t)0x7d4e2c7f, (q31_t)0xe5dfc1e5, (q31_t)0x7d4908d9, (q31_t)0xe5c727dd, (q31_t)0x7d43e05e, (q31_t)0xe5ae8ed8, (q31_t)0x7d3eb30f, (q31_t)0xe595f6d7,
+  (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7d3449f5, (q31_t)0xe564c9e3, (q31_t)0x7d2f0e2b, (q31_t)0xe54c34f3, (q31_t)0x7d29cd8c, (q31_t)0xe533a10a,
+  (q31_t)0x7d24881b, (q31_t)0xe51b0e2a, (q31_t)0x7d1f3dd6, (q31_t)0xe5027c53, (q31_t)0x7d19eebf, (q31_t)0xe4e9eb87, (q31_t)0x7d149ad5, (q31_t)0xe4d15bc6,
+  (q31_t)0x7d0f4218, (q31_t)0xe4b8cd11, (q31_t)0x7d09e489, (q31_t)0xe4a03f69, (q31_t)0x7d048228, (q31_t)0xe487b2d0, (q31_t)0x7cff1af5, (q31_t)0xe46f2745,
+  (q31_t)0x7cf9aef0, (q31_t)0xe4569ccb, (q31_t)0x7cf43e1a, (q31_t)0xe43e1362, (q31_t)0x7ceec873, (q31_t)0xe4258b0a, (q31_t)0x7ce94dfb, (q31_t)0xe40d03c6,
+  (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7cde4a98, (q31_t)0xe3dbf87a, (q31_t)0x7cd8c1ae, (q31_t)0xe3c37474, (q31_t)0x7cd333f3, (q31_t)0xe3aaf184,
+  (q31_t)0x7ccda169, (q31_t)0xe3926fad, (q31_t)0x7cc80a0f, (q31_t)0xe379eeed, (q31_t)0x7cc26de5, (q31_t)0xe3616f48, (q31_t)0x7cbcccec, (q31_t)0xe348f0bd,
+  (q31_t)0x7cb72724, (q31_t)0xe330734d, (q31_t)0x7cb17c8d, (q31_t)0xe317f6fa, (q31_t)0x7cabcd28, (q31_t)0xe2ff7bc3, (q31_t)0x7ca618f3, (q31_t)0xe2e701ac,
+  (q31_t)0x7ca05ff1, (q31_t)0xe2ce88b3, (q31_t)0x7c9aa221, (q31_t)0xe2b610da, (q31_t)0x7c94df83, (q31_t)0xe29d9a23, (q31_t)0x7c8f1817, (q31_t)0xe285248d,
+  (q31_t)0x7c894bde, (q31_t)0xe26cb01b, (q31_t)0x7c837ad8, (q31_t)0xe2543ccc, (q31_t)0x7c7da505, (q31_t)0xe23bcaa2, (q31_t)0x7c77ca65, (q31_t)0xe223599e,
+  (q31_t)0x7c71eaf9, (q31_t)0xe20ae9c1, (q31_t)0x7c6c06c0, (q31_t)0xe1f27b0b, (q31_t)0x7c661dbc, (q31_t)0xe1da0d7e, (q31_t)0x7c602fec, (q31_t)0xe1c1a11b,
+  (q31_t)0x7c5a3d50, (q31_t)0xe1a935e2, (q31_t)0x7c5445e9, (q31_t)0xe190cbd4, (q31_t)0x7c4e49b7, (q31_t)0xe17862f3, (q31_t)0x7c4848ba, (q31_t)0xe15ffb3f,
+  (q31_t)0x7c4242f2, (q31_t)0xe14794ba, (q31_t)0x7c3c3860, (q31_t)0xe12f2f63, (q31_t)0x7c362904, (q31_t)0xe116cb3d, (q31_t)0x7c3014de, (q31_t)0xe0fe6848,
+  (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7c23de35, (q31_t)0xe0cda5f5, (q31_t)0x7c1dbbb3, (q31_t)0xe0b54698, (q31_t)0x7c179467, (q31_t)0xe09ce871,
+  (q31_t)0x7c116853, (q31_t)0xe0848b7f, (q31_t)0x7c0b3777, (q31_t)0xe06c2fc4, (q31_t)0x7c0501d2, (q31_t)0xe053d541, (q31_t)0x7bfec765, (q31_t)0xe03b7bf6,
+  (q31_t)0x7bf88830, (q31_t)0xe02323e5, (q31_t)0x7bf24434, (q31_t)0xe00acd0e, (q31_t)0x7bebfb70, (q31_t)0xdff27773, (q31_t)0x7be5ade6, (q31_t)0xdfda2314,
+  (q31_t)0x7bdf5b94, (q31_t)0xdfc1cff3, (q31_t)0x7bd9047c, (q31_t)0xdfa97e0f, (q31_t)0x7bd2a89e, (q31_t)0xdf912d6b, (q31_t)0x7bcc47fa, (q31_t)0xdf78de07,
+  (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7bbf7860, (q31_t)0xdf484302, (q31_t)0x7bb9096b, (q31_t)0xdf2ff764, (q31_t)0x7bb295b0, (q31_t)0xdf17ad0a,
+  (q31_t)0x7bac1d31, (q31_t)0xdeff63f4, (q31_t)0x7ba59fee, (q31_t)0xdee71c24, (q31_t)0x7b9f1de6, (q31_t)0xdeced59b, (q31_t)0x7b989719, (q31_t)0xdeb69059,
+  (q31_t)0x7b920b89, (q31_t)0xde9e4c60, (q31_t)0x7b8b7b36, (q31_t)0xde8609b1, (q31_t)0x7b84e61f, (q31_t)0xde6dc84b, (q31_t)0x7b7e4c45, (q31_t)0xde558831,
+  (q31_t)0x7b77ada8, (q31_t)0xde3d4964, (q31_t)0x7b710a49, (q31_t)0xde250be3, (q31_t)0x7b6a6227, (q31_t)0xde0ccfb1, (q31_t)0x7b63b543, (q31_t)0xddf494ce,
+  (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7b564d36, (q31_t)0xddc422f8, (q31_t)0x7b4f920e, (q31_t)0xddabec08, (q31_t)0x7b48d225, (q31_t)0xdd93b66a,
+  (q31_t)0x7b420d7a, (q31_t)0xdd7b8220, (q31_t)0x7b3b4410, (q31_t)0xdd634f2b, (q31_t)0x7b3475e5, (q31_t)0xdd4b1d8c, (q31_t)0x7b2da2fa, (q31_t)0xdd32ed43,
+  (q31_t)0x7b26cb4f, (q31_t)0xdd1abe51, (q31_t)0x7b1feee5, (q31_t)0xdd0290b8, (q31_t)0x7b190dbc, (q31_t)0xdcea6478, (q31_t)0x7b1227d3, (q31_t)0xdcd23993,
+  (q31_t)0x7b0b3d2c, (q31_t)0xdcba1008, (q31_t)0x7b044dc7, (q31_t)0xdca1e7da, (q31_t)0x7afd59a4, (q31_t)0xdc89c109, (q31_t)0x7af660c2, (q31_t)0xdc719b96,
+  (q31_t)0x7aef6323, (q31_t)0xdc597781, (q31_t)0x7ae860c7, (q31_t)0xdc4154cd, (q31_t)0x7ae159ae, (q31_t)0xdc293379, (q31_t)0x7ada4dd8, (q31_t)0xdc111388,
+  (q31_t)0x7ad33d45, (q31_t)0xdbf8f4f8, (q31_t)0x7acc27f7, (q31_t)0xdbe0d7cd, (q31_t)0x7ac50dec, (q31_t)0xdbc8bc06, (q31_t)0x7abdef25, (q31_t)0xdbb0a1a4,
+  (q31_t)0x7ab6cba4, (q31_t)0xdb9888a8, (q31_t)0x7aafa367, (q31_t)0xdb807114, (q31_t)0x7aa8766f, (q31_t)0xdb685ae9, (q31_t)0x7aa144bc, (q31_t)0xdb504626,
+  (q31_t)0x7a9a0e50, (q31_t)0xdb3832cd, (q31_t)0x7a92d329, (q31_t)0xdb2020e0, (q31_t)0x7a8b9348, (q31_t)0xdb08105e, (q31_t)0x7a844eae, (q31_t)0xdaf00149,
+  (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a75b74f, (q31_t)0xdabfe76a, (q31_t)0x7a6e648a, (q31_t)0xdaa7dca1, (q31_t)0x7a670d0d, (q31_t)0xda8fd349,
+  (q31_t)0x7a5fb0d8, (q31_t)0xda77cb63, (q31_t)0x7a584feb, (q31_t)0xda5fc4ef, (q31_t)0x7a50ea47, (q31_t)0xda47bfee, (q31_t)0x7a497feb, (q31_t)0xda2fbc61,
+  (q31_t)0x7a4210d8, (q31_t)0xda17ba4a, (q31_t)0x7a3a9d0f, (q31_t)0xd9ffb9a9, (q31_t)0x7a332490, (q31_t)0xd9e7ba7f, (q31_t)0x7a2ba75a, (q31_t)0xd9cfbccd,
+  (q31_t)0x7a24256f, (q31_t)0xd9b7c094, (q31_t)0x7a1c9ece, (q31_t)0xd99fc5d4, (q31_t)0x7a151378, (q31_t)0xd987cc90, (q31_t)0x7a0d836d, (q31_t)0xd96fd4c7,
+  (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x79fe5539, (q31_t)0xd93fe9ab, (q31_t)0x79f6b711, (q31_t)0xd927f65b, (q31_t)0x79ef1436, (q31_t)0xd910048a,
+  (q31_t)0x79e76ca7, (q31_t)0xd8f81439, (q31_t)0x79dfc064, (q31_t)0xd8e0256a, (q31_t)0x79d80f6f, (q31_t)0xd8c8381d, (q31_t)0x79d059c8, (q31_t)0xd8b04c52,
+  (q31_t)0x79c89f6e, (q31_t)0xd898620c, (q31_t)0x79c0e062, (q31_t)0xd880794b, (q31_t)0x79b91ca4, (q31_t)0xd868920f, (q31_t)0x79b15435, (q31_t)0xd850ac5a,
+  (q31_t)0x79a98715, (q31_t)0xd838c82d, (q31_t)0x79a1b545, (q31_t)0xd820e589, (q31_t)0x7999dec4, (q31_t)0xd809046e, (q31_t)0x79920392, (q31_t)0xd7f124dd,
+  (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x79823f20, (q31_t)0xd7c16a5f, (q31_t)0x797a55e0, (q31_t)0xd7a98f73, (q31_t)0x797267f2, (q31_t)0xd791b616,
+  (q31_t)0x796a7554, (q31_t)0xd779de47, (q31_t)0x79627e08, (q31_t)0xd7620808, (q31_t)0x795a820e, (q31_t)0xd74a335b, (q31_t)0x79528167, (q31_t)0xd732603f,
+  (q31_t)0x794a7c12, (q31_t)0xd71a8eb5, (q31_t)0x79427210, (q31_t)0xd702bec0, (q31_t)0x793a6361, (q31_t)0xd6eaf05f, (q31_t)0x79325006, (q31_t)0xd6d32393,
+  (q31_t)0x792a37fe, (q31_t)0xd6bb585e, (q31_t)0x79221b4b, (q31_t)0xd6a38ec0, (q31_t)0x7919f9ec, (q31_t)0xd68bc6ba, (q31_t)0x7911d3e2, (q31_t)0xd674004e,
+  (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, (q31_t)0x790179cd, (q31_t)0xd6447844, (q31_t)0x78f945c3, (q31_t)0xd62cb6a8, (q31_t)0x78f10d0f, (q31_t)0xd614f6a9,
+  (q31_t)0x78e8cfb2, (q31_t)0xd5fd3848, (q31_t)0x78e08dab, (q31_t)0xd5e57b85, (q31_t)0x78d846fb, (q31_t)0xd5cdc062, (q31_t)0x78cffba3, (q31_t)0xd5b606e0,
+  (q31_t)0x78c7aba2, (q31_t)0xd59e4eff, (q31_t)0x78bf56f9, (q31_t)0xd58698c0, (q31_t)0x78b6fda8, (q31_t)0xd56ee424, (q31_t)0x78ae9fb0, (q31_t)0xd557312d,
+  (q31_t)0x78a63d11, (q31_t)0xd53f7fda, (q31_t)0x789dd5cb, (q31_t)0xd527d02e, (q31_t)0x789569df, (q31_t)0xd5102228, (q31_t)0x788cf94c, (q31_t)0xd4f875ca,
+  (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x787c0a36, (q31_t)0xd4c92209, (q31_t)0x78738bb3, (q31_t)0xd4b17aa8, (q31_t)0x786b088c, (q31_t)0xd499d4f2,
+  (q31_t)0x786280bf, (q31_t)0xd48230e9, (q31_t)0x7859f44f, (q31_t)0xd46a8e8d, (q31_t)0x7851633b, (q31_t)0xd452eddf, (q31_t)0x7848cd83, (q31_t)0xd43b4ee0,
+  (q31_t)0x78403329, (q31_t)0xd423b191, (q31_t)0x7837942b, (q31_t)0xd40c15f3, (q31_t)0x782ef08b, (q31_t)0xd3f47c06, (q31_t)0x78264849, (q31_t)0xd3dce3cd,
+  (q31_t)0x781d9b65, (q31_t)0xd3c54d47, (q31_t)0x7814e9df, (q31_t)0xd3adb876, (q31_t)0x780c33b8, (q31_t)0xd396255a, (q31_t)0x780378f1, (q31_t)0xd37e93f4,
+  (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x77f1f581, (q31_t)0xd34f764f, (q31_t)0x77e92cd9, (q31_t)0xd337ea12, (q31_t)0x77e05f91, (q31_t)0xd3205f8f,
+  (q31_t)0x77d78daa, (q31_t)0xd308d6c7, (q31_t)0x77ceb725, (q31_t)0xd2f14fba, (q31_t)0x77c5dc01, (q31_t)0xd2d9ca6a, (q31_t)0x77bcfc3f, (q31_t)0xd2c246d8,
+  (q31_t)0x77b417df, (q31_t)0xd2aac504, (q31_t)0x77ab2ee2, (q31_t)0xd29344f0, (q31_t)0x77a24148, (q31_t)0xd27bc69c, (q31_t)0x77994f11, (q31_t)0xd2644a0a,
+  (q31_t)0x7790583e, (q31_t)0xd24ccf39, (q31_t)0x77875cce, (q31_t)0xd235562b, (q31_t)0x777e5cc3, (q31_t)0xd21ddee2, (q31_t)0x7775581d, (q31_t)0xd206695d,
+  (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x776340ff, (q31_t)0xd1d783a6, (q31_t)0x775a2e89, (q31_t)0xd1c01375, (q31_t)0x77511778, (q31_t)0xd1a8a50d,
+  (q31_t)0x7747fbce, (q31_t)0xd191386e, (q31_t)0x773edb8b, (q31_t)0xd179cd99, (q31_t)0x7735b6af, (q31_t)0xd1626490, (q31_t)0x772c8d3a, (q31_t)0xd14afd52,
+  (q31_t)0x77235f2d, (q31_t)0xd13397e2, (q31_t)0x771a2c88, (q31_t)0xd11c343f, (q31_t)0x7710f54c, (q31_t)0xd104d26b, (q31_t)0x7707b979, (q31_t)0xd0ed7267,
+  (q31_t)0x76fe790e, (q31_t)0xd0d61434, (q31_t)0x76f5340e, (q31_t)0xd0beb7d2, (q31_t)0x76ebea77, (q31_t)0xd0a75d42, (q31_t)0x76e29c4b, (q31_t)0xd0900486,
+  (q31_t)0x76d94989, (q31_t)0xd078ad9e, (q31_t)0x76cff232, (q31_t)0xd061588b, (q31_t)0x76c69647, (q31_t)0xd04a054e, (q31_t)0x76bd35c7, (q31_t)0xd032b3e7,
+  (q31_t)0x76b3d0b4, (q31_t)0xd01b6459, (q31_t)0x76aa670d, (q31_t)0xd00416a3, (q31_t)0x76a0f8d2, (q31_t)0xcfeccac7, (q31_t)0x76978605, (q31_t)0xcfd580c6,
+  (q31_t)0x768e0ea6, (q31_t)0xcfbe389f, (q31_t)0x768492b4, (q31_t)0xcfa6f255, (q31_t)0x767b1231, (q31_t)0xcf8fade9, (q31_t)0x76718d1c, (q31_t)0xcf786b5a,
+  (q31_t)0x76680376, (q31_t)0xcf612aaa, (q31_t)0x765e7540, (q31_t)0xcf49ebda, (q31_t)0x7654e279, (q31_t)0xcf32aeeb, (q31_t)0x764b4b23, (q31_t)0xcf1b73de,
+  (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x76380ec8, (q31_t)0xceed036b, (q31_t)0x762e69c4, (q31_t)0xced5ce08, (q31_t)0x7624c031, (q31_t)0xcebe9a8a,
+  (q31_t)0x761b1211, (q31_t)0xcea768f2, (q31_t)0x76115f63, (q31_t)0xce903942, (q31_t)0x7607a828, (q31_t)0xce790b79, (q31_t)0x75fdec60, (q31_t)0xce61df99,
+  (q31_t)0x75f42c0b, (q31_t)0xce4ab5a2, (q31_t)0x75ea672a, (q31_t)0xce338d97, (q31_t)0x75e09dbd, (q31_t)0xce1c6777, (q31_t)0x75d6cfc5, (q31_t)0xce054343,
+  (q31_t)0x75ccfd42, (q31_t)0xcdee20fc, (q31_t)0x75c32634, (q31_t)0xcdd700a4, (q31_t)0x75b94a9c, (q31_t)0xcdbfe23a, (q31_t)0x75af6a7b, (q31_t)0xcda8c5c1,
+  (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x759b9c9b, (q31_t)0xcd7a92a2, (q31_t)0x7591aedd, (q31_t)0xcd637bfe, (q31_t)0x7587bc98, (q31_t)0xcd4c674d,
+  (q31_t)0x757dc5ca, (q31_t)0xcd355491, (q31_t)0x7573ca75, (q31_t)0xcd1e43ca, (q31_t)0x7569ca99, (q31_t)0xcd0734f9, (q31_t)0x755fc635, (q31_t)0xccf0281f,
+  (q31_t)0x7555bd4c, (q31_t)0xccd91d3d, (q31_t)0x754bafdc, (q31_t)0xccc21455, (q31_t)0x75419de7, (q31_t)0xccab0d65, (q31_t)0x7537876c, (q31_t)0xcc940871,
+  (q31_t)0x752d6c6c, (q31_t)0xcc7d0578, (q31_t)0x75234ce8, (q31_t)0xcc66047b, (q31_t)0x751928e0, (q31_t)0xcc4f057c, (q31_t)0x750f0054, (q31_t)0xcc38087b,
+  (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x74faa1b3, (q31_t)0xcc0a1477, (q31_t)0x74f06b9e, (q31_t)0xcbf31d75, (q31_t)0x74e63108, (q31_t)0xcbdc2876,
+  (q31_t)0x74dbf1ef, (q31_t)0xcbc53579, (q31_t)0x74d1ae55, (q31_t)0xcbae447f, (q31_t)0x74c7663a, (q31_t)0xcb97558a, (q31_t)0x74bd199f, (q31_t)0xcb80689a,
+  (q31_t)0x74b2c884, (q31_t)0xcb697db0, (q31_t)0x74a872e8, (q31_t)0xcb5294ce, (q31_t)0x749e18cd, (q31_t)0xcb3badf3, (q31_t)0x7493ba34, (q31_t)0xcb24c921,
+  (q31_t)0x7489571c, (q31_t)0xcb0de658, (q31_t)0x747eef85, (q31_t)0xcaf7059a, (q31_t)0x74748371, (q31_t)0xcae026e8, (q31_t)0x746a12df, (q31_t)0xcac94a42,
+  (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, (q31_t)0x74552446, (q31_t)0xca9b971e, (q31_t)0x744aa63f, (q31_t)0xca84c0a3, (q31_t)0x744023bc, (q31_t)0xca6dec37,
+  (q31_t)0x74359cbd, (q31_t)0xca5719db, (q31_t)0x742b1144, (q31_t)0xca404992, (q31_t)0x74208150, (q31_t)0xca297b5a, (q31_t)0x7415ece2, (q31_t)0xca12af37,
+  (q31_t)0x740b53fb, (q31_t)0xc9fbe527, (q31_t)0x7400b69a, (q31_t)0xc9e51d2d, (q31_t)0x73f614c0, (q31_t)0xc9ce5748, (q31_t)0x73eb6e6e, (q31_t)0xc9b7937a,
+  (q31_t)0x73e0c3a3, (q31_t)0xc9a0d1c5, (q31_t)0x73d61461, (q31_t)0xc98a1227, (q31_t)0x73cb60a8, (q31_t)0xc97354a4, (q31_t)0x73c0a878, (q31_t)0xc95c993a,
+  (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x73ab2ab4, (q31_t)0xc92f28ba, (q31_t)0x73a06522, (q31_t)0xc91873a5, (q31_t)0x73959b1b, (q31_t)0xc901c0ae,
+  (q31_t)0x738acc9e, (q31_t)0xc8eb0fd6, (q31_t)0x737ff9ae, (q31_t)0xc8d4611d, (q31_t)0x73752249, (q31_t)0xc8bdb485, (q31_t)0x736a4671, (q31_t)0xc8a70a0e,
+  (q31_t)0x735f6626, (q31_t)0xc89061ba, (q31_t)0x73548168, (q31_t)0xc879bb89, (q31_t)0x73499838, (q31_t)0xc863177b, (q31_t)0x733eaa96, (q31_t)0xc84c7593,
+  (q31_t)0x7333b883, (q31_t)0xc835d5d0, (q31_t)0x7328c1ff, (q31_t)0xc81f3834, (q31_t)0x731dc70a, (q31_t)0xc8089cbf, (q31_t)0x7312c7a5, (q31_t)0xc7f20373,
+  (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72fcbb8c, (q31_t)0xc7c4d757, (q31_t)0x72f1aed9, (q31_t)0xc7ae4489, (q31_t)0x72e69db7, (q31_t)0xc797b3e7,
+  (q31_t)0x72db8828, (q31_t)0xc7812572, (q31_t)0x72d06e2b, (q31_t)0xc76a992a, (q31_t)0x72c54fc1, (q31_t)0xc7540f11, (q31_t)0x72ba2cea, (q31_t)0xc73d8727,
+  (q31_t)0x72af05a7, (q31_t)0xc727016d, (q31_t)0x72a3d9f7, (q31_t)0xc7107de4, (q31_t)0x7298a9dd, (q31_t)0xc6f9fc8d, (q31_t)0x728d7557, (q31_t)0xc6e37d69,
+  (q31_t)0x72823c67, (q31_t)0xc6cd0079, (q31_t)0x7276ff0d, (q31_t)0xc6b685bd, (q31_t)0x726bbd48, (q31_t)0xc6a00d37, (q31_t)0x7260771b, (q31_t)0xc68996e7,
+  (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x7249dd86, (q31_t)0xc65cb0ed, (q31_t)0x723e8a20, (q31_t)0xc6464144, (q31_t)0x72333251, (q31_t)0xc62fd3d6,
+  (q31_t)0x7227d61c, (q31_t)0xc61968a2, (q31_t)0x721c7580, (q31_t)0xc602ffaa, (q31_t)0x7211107e, (q31_t)0xc5ec98ee, (q31_t)0x7205a716, (q31_t)0xc5d6346f,
+  (q31_t)0x71fa3949, (q31_t)0xc5bfd22e, (q31_t)0x71eec716, (q31_t)0xc5a9722c, (q31_t)0x71e35080, (q31_t)0xc593146a, (q31_t)0x71d7d585, (q31_t)0xc57cb8e9,
+  (q31_t)0x71cc5626, (q31_t)0xc5665fa9, (q31_t)0x71c0d265, (q31_t)0xc55008ab, (q31_t)0x71b54a41, (q31_t)0xc539b3f1, (q31_t)0x71a9bdba, (q31_t)0xc523617a,
+  (q31_t)0x719e2cd2, (q31_t)0xc50d1149, (q31_t)0x71929789, (q31_t)0xc4f6c35d, (q31_t)0x7186fdde, (q31_t)0xc4e077b8, (q31_t)0x717b5fd3, (q31_t)0xc4ca2e5b,
+  (q31_t)0x716fbd68, (q31_t)0xc4b3e746, (q31_t)0x7164169d, (q31_t)0xc49da27a, (q31_t)0x71586b74, (q31_t)0xc4875ff9, (q31_t)0x714cbbeb, (q31_t)0xc4711fc2,
+  (q31_t)0x71410805, (q31_t)0xc45ae1d7, (q31_t)0x71354fc0, (q31_t)0xc444a639, (q31_t)0x7129931f, (q31_t)0xc42e6ce8, (q31_t)0x711dd220, (q31_t)0xc41835e6,
+  (q31_t)0x71120cc5, (q31_t)0xc4020133, (q31_t)0x7106430e, (q31_t)0xc3ebced0, (q31_t)0x70fa74fc, (q31_t)0xc3d59ebe, (q31_t)0x70eea28e, (q31_t)0xc3bf70fd,
+  (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x70d6f0a4, (q31_t)0xc3931c76, (q31_t)0x70cb1128, (q31_t)0xc37cf5b0, (q31_t)0x70bf2d53, (q31_t)0xc366d140,
+  (q31_t)0x70b34525, (q31_t)0xc350af26, (q31_t)0x70a7589f, (q31_t)0xc33a8f62, (q31_t)0x709b67c0, (q31_t)0xc32471f7, (q31_t)0x708f728b, (q31_t)0xc30e56e4,
+  (q31_t)0x708378ff, (q31_t)0xc2f83e2a, (q31_t)0x70777b1c, (q31_t)0xc2e227cb, (q31_t)0x706b78e3, (q31_t)0xc2cc13c7, (q31_t)0x705f7255, (q31_t)0xc2b6021f,
+  (q31_t)0x70536771, (q31_t)0xc29ff2d4, (q31_t)0x70475839, (q31_t)0xc289e5e7, (q31_t)0x703b44ad, (q31_t)0xc273db58, (q31_t)0x702f2ccd, (q31_t)0xc25dd329,
+  (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x7016f014, (q31_t)0xc231c9ec, (q31_t)0x700acb3c, (q31_t)0xc21bc8e1, (q31_t)0x6ffea212, (q31_t)0xc205ca38,
+  (q31_t)0x6ff27497, (q31_t)0xc1efcdf3, (q31_t)0x6fe642ca, (q31_t)0xc1d9d412, (q31_t)0x6fda0cae, (q31_t)0xc1c3dc97, (q31_t)0x6fcdd241, (q31_t)0xc1ade781,
+  (q31_t)0x6fc19385, (q31_t)0xc197f4d4, (q31_t)0x6fb5507a, (q31_t)0xc182048d, (q31_t)0x6fa90921, (q31_t)0xc16c16b0, (q31_t)0x6f9cbd79, (q31_t)0xc1562b3d,
+  (q31_t)0x6f906d84, (q31_t)0xc1404233, (q31_t)0x6f841942, (q31_t)0xc12a5b95, (q31_t)0x6f77c0b3, (q31_t)0xc1147764, (q31_t)0x6f6b63d8, (q31_t)0xc0fe959f,
+  (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6f529d40, (q31_t)0xc0d2d960, (q31_t)0x6f463383, (q31_t)0xc0bcfee7, (q31_t)0x6f39c57d, (q31_t)0xc0a726df,
+  (q31_t)0x6f2d532c, (q31_t)0xc0915148, (q31_t)0x6f20dc92, (q31_t)0xc07b7e23, (q31_t)0x6f1461b0, (q31_t)0xc065ad70, (q31_t)0x6f07e285, (q31_t)0xc04fdf32,
+  (q31_t)0x6efb5f12, (q31_t)0xc03a1368, (q31_t)0x6eeed758, (q31_t)0xc0244a14, (q31_t)0x6ee24b57, (q31_t)0xc00e8336, (q31_t)0x6ed5bb10, (q31_t)0xbff8bece,
+  (q31_t)0x6ec92683, (q31_t)0xbfe2fcdf, (q31_t)0x6ebc8db0, (q31_t)0xbfcd3d69, (q31_t)0x6eaff099, (q31_t)0xbfb7806c, (q31_t)0x6ea34f3d, (q31_t)0xbfa1c5ea,
+  (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, (q31_t)0x6e89ffb9, (q31_t)0xbf765858, (q31_t)0x6e7d5193, (q31_t)0xbf60a54a, (q31_t)0x6e709f2a, (q31_t)0xbf4af4ba,
+  (q31_t)0x6e63e87f, (q31_t)0xbf3546a8, (q31_t)0x6e572d93, (q31_t)0xbf1f9b16, (q31_t)0x6e4a6e66, (q31_t)0xbf09f205, (q31_t)0x6e3daaf8, (q31_t)0xbef44b74,
+  (q31_t)0x6e30e34a, (q31_t)0xbedea765, (q31_t)0x6e24175c, (q31_t)0xbec905d9, (q31_t)0x6e174730, (q31_t)0xbeb366d1, (q31_t)0x6e0a72c5, (q31_t)0xbe9dca4e,
+  (q31_t)0x6dfd9a1c, (q31_t)0xbe88304f, (q31_t)0x6df0bd35, (q31_t)0xbe7298d7, (q31_t)0x6de3dc11, (q31_t)0xbe5d03e6, (q31_t)0x6dd6f6b1, (q31_t)0xbe47717c,
+  (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6dbd1f3c, (q31_t)0xbe1c5444, (q31_t)0x6db02d29, (q31_t)0xbe06c977, (q31_t)0x6da336dc, (q31_t)0xbdf14135,
+  (q31_t)0x6d963c54, (q31_t)0xbddbbb7f, (q31_t)0x6d893d93, (q31_t)0xbdc63856, (q31_t)0x6d7c3a98, (q31_t)0xbdb0b7bb, (q31_t)0x6d6f3365, (q31_t)0xbd9b39ad,
+  (q31_t)0x6d6227fa, (q31_t)0xbd85be30, (q31_t)0x6d551858, (q31_t)0xbd704542, (q31_t)0x6d48047e, (q31_t)0xbd5acee5, (q31_t)0x6d3aec6e, (q31_t)0xbd455b1a,
+  (q31_t)0x6d2dd027, (q31_t)0xbd2fe9e2, (q31_t)0x6d20afac, (q31_t)0xbd1a7b3d, (q31_t)0x6d138afb, (q31_t)0xbd050f2c, (q31_t)0x6d066215, (q31_t)0xbcefa5b0,
+  (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6cec03af, (q31_t)0xbcc4da7b, (q31_t)0x6cdece2f, (q31_t)0xbcaf78c4, (q31_t)0x6cd1947c, (q31_t)0xbc9a19a5,
+  (q31_t)0x6cc45698, (q31_t)0xbc84bd1f, (q31_t)0x6cb71482, (q31_t)0xbc6f6333, (q31_t)0x6ca9ce3b, (q31_t)0xbc5a0be2, (q31_t)0x6c9c83c3, (q31_t)0xbc44b72c,
+  (q31_t)0x6c8f351c, (q31_t)0xbc2f6513, (q31_t)0x6c81e245, (q31_t)0xbc1a1598, (q31_t)0x6c748b3f, (q31_t)0xbc04c8ba, (q31_t)0x6c67300b, (q31_t)0xbbef7e7c,
+  (q31_t)0x6c59d0a9, (q31_t)0xbbda36dd, (q31_t)0x6c4c6d1a, (q31_t)0xbbc4f1df, (q31_t)0x6c3f055d, (q31_t)0xbbafaf82, (q31_t)0x6c319975, (q31_t)0xbb9a6fc7,
+  (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6c16b521, (q31_t)0xbb6ff83c, (q31_t)0x6c093cb6, (q31_t)0xbb5ac06d, (q31_t)0x6bfbc021, (q31_t)0xbb458b43,
+  (q31_t)0x6bee3f62, (q31_t)0xbb3058c0, (q31_t)0x6be0ba7b, (q31_t)0xbb1b28e4, (q31_t)0x6bd3316a, (q31_t)0xbb05fbb0, (q31_t)0x6bc5a431, (q31_t)0xbaf0d125,
+  (q31_t)0x6bb812d1, (q31_t)0xbadba943, (q31_t)0x6baa7d49, (q31_t)0xbac6840c, (q31_t)0x6b9ce39b, (q31_t)0xbab16180, (q31_t)0x6b8f45c7, (q31_t)0xba9c41a0,
+  (q31_t)0x6b81a3cd, (q31_t)0xba87246d, (q31_t)0x6b73fdae, (q31_t)0xba7209e7, (q31_t)0x6b66536b, (q31_t)0xba5cf210, (q31_t)0x6b58a503, (q31_t)0xba47dce8,
+  (q31_t)0x6b4af279, (q31_t)0xba32ca71, (q31_t)0x6b3d3bcb, (q31_t)0xba1dbaaa, (q31_t)0x6b2f80fb, (q31_t)0xba08ad95, (q31_t)0x6b21c208, (q31_t)0xb9f3a332,
+  (q31_t)0x6b13fef5, (q31_t)0xb9de9b83, (q31_t)0x6b0637c1, (q31_t)0xb9c99688, (q31_t)0x6af86c6c, (q31_t)0xb9b49442, (q31_t)0x6aea9cf8, (q31_t)0xb99f94b2,
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+  (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x405e3a16, (q31_t)0x915cb0c3, (q31_t)0x40487f94, (q31_t)0x91500f67, (q31_t)0x4032c297, (q31_t)0x91437250,
+  (q31_t)0x401d0321, (q31_t)0x9136d97d, (q31_t)0x40074132, (q31_t)0x912a44f0, (q31_t)0x3ff17cca, (q31_t)0x911db4a9, (q31_t)0x3fdbb5ec, (q31_t)0x911128a8,
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+  (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3f016a61, (q31_t)0x90949c28, (q31_t)0x3eeb889c, (q31_t)0x90883f4d, (q31_t)0x3ed5a46b, (q31_t)0x907be6be,
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+  (q31_t)0x3d600d2c, (q31_t)0x8fac988f, (q31_t)0x3d49fde1, (q31_t)0x8fa08dab, (q31_t)0x3d33ec39, (q31_t)0x8f94871d, (q31_t)0x3d1dd835, (q31_t)0x8f8884e4,
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+  (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x3adc9e86, (q31_t)0x8e564246, (q31_t)0x3ac64c0f, (q31_t)0x8e4ab5bf, (q31_t)0x3aaff755, (q31_t)0x8e3f2d9b,
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+  (q31_t)0x3932ff87, (q31_t)0x8d7dc399, (q31_t)0x391c8297, (q31_t)0x8d728aa9, (q31_t)0x39060373, (q31_t)0x8d675623, (q31_t)0x38ef821c, (q31_t)0x8d5c2609,
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+  (q31_t)0x387eda8e, (q31_t)0x8d2477d8, (q31_t)0x38684c19, (q31_t)0x8d196249, (q31_t)0x3851bb77, (q31_t)0x8d0e5127, (q31_t)0x383b28a9, (q31_t)0x8d034474,
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+  (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x36a366c6, (q31_t)0x8c3f5788, (q31_t)0x368cab5c, (q31_t)0x8c349f58, (q31_t)0x3675edd9, (q31_t)0x8c29eb9f,
+  (q31_t)0x365f2e3b, (q31_t)0x8c1f3c5d, (q31_t)0x36486c86, (q31_t)0x8c149192, (q31_t)0x3631a8b8, (q31_t)0x8c09eb40, (q31_t)0x361ae2d3, (q31_t)0x8bff4966,
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+  (q31_t)0x35a8e625, (q31_t)0x8bca6343, (q31_t)0x359213c9, (q31_t)0x8bbfdc44, (q31_t)0x357b3f5d, (q31_t)0x8bb559c1, (q31_t)0x356468e2, (q31_t)0x8baadbba,
+  (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x3536b5be, (q31_t)0x8b95ed21, (q31_t)0x351fd918, (q31_t)0x8b8b7c8f, (q31_t)0x3508fa66, (q31_t)0x8b81107b,
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+  (q31_t)0x34968250, (q31_t)0x8b4d377c, (q31_t)0x347f9766, (q31_t)0x8b42e661, (q31_t)0x3468aa76, (q31_t)0x8b3899c6, (q31_t)0x3451bb81, (q31_t)0x8b2e51ab,
+  (q31_t)0x343aca87, (q31_t)0x8b240e11, (q31_t)0x3423d78a, (q31_t)0x8b19cef8, (q31_t)0x340ce28b, (q31_t)0x8b0f9462, (q31_t)0x33f5eb89, (q31_t)0x8b055e4d,
+  (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x33c7f785, (q31_t)0x8af0ffac, (q31_t)0x33b0fa84, (q31_t)0x8ae6d720, (q31_t)0x3399fb85, (q31_t)0x8adcb318,
+  (q31_t)0x3382fa88, (q31_t)0x8ad29394, (q31_t)0x336bf78f, (q31_t)0x8ac87894, (q31_t)0x3354f29b, (q31_t)0x8abe6219, (q31_t)0x333debab, (q31_t)0x8ab45024,
+  (q31_t)0x3326e2c3, (q31_t)0x8aaa42b4, (q31_t)0x330fd7e1, (q31_t)0x8aa039cb, (q31_t)0x32f8cb07, (q31_t)0x8a963567, (q31_t)0x32e1bc36, (q31_t)0x8a8c358b,
+  (q31_t)0x32caab6f, (q31_t)0x8a823a36, (q31_t)0x32b398b3, (q31_t)0x8a784368, (q31_t)0x329c8402, (q31_t)0x8a6e5123, (q31_t)0x32856d5e, (q31_t)0x8a646365,
+  (q31_t)0x326e54c7, (q31_t)0x8a5a7a31, (q31_t)0x32573a3f, (q31_t)0x8a509585, (q31_t)0x32401dc6, (q31_t)0x8a46b564, (q31_t)0x3228ff5c, (q31_t)0x8a3cd9cc,
+  (q31_t)0x3211df04, (q31_t)0x8a3302be, (q31_t)0x31fabcbd, (q31_t)0x8a29303b, (q31_t)0x31e39889, (q31_t)0x8a1f6243, (q31_t)0x31cc7269, (q31_t)0x8a1598d6,
+  (q31_t)0x31b54a5e, (q31_t)0x8a0bd3f5, (q31_t)0x319e2067, (q31_t)0x8a0213a0, (q31_t)0x3186f487, (q31_t)0x89f857d8, (q31_t)0x316fc6be, (q31_t)0x89eea09d,
+  (q31_t)0x3158970e, (q31_t)0x89e4edef, (q31_t)0x31416576, (q31_t)0x89db3fcf, (q31_t)0x312a31f8, (q31_t)0x89d1963c, (q31_t)0x3112fc95, (q31_t)0x89c7f138,
+  (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x30e48c22, (q31_t)0x89b4b4dd, (q31_t)0x30cd5115, (q31_t)0x89ab1d87, (q31_t)0x30b61426, (q31_t)0x89a18ac0,
+  (q31_t)0x309ed556, (q31_t)0x8997fc8a, (q31_t)0x308794a6, (q31_t)0x898e72e4, (q31_t)0x30705217, (q31_t)0x8984edcf, (q31_t)0x30590dab, (q31_t)0x897b6d4c,
+  (q31_t)0x3041c761, (q31_t)0x8971f15a, (q31_t)0x302a7f3a, (q31_t)0x896879fb, (q31_t)0x30133539, (q31_t)0x895f072e, (q31_t)0x2ffbe95d, (q31_t)0x895598f3,
+  (q31_t)0x2fe49ba7, (q31_t)0x894c2f4c, (q31_t)0x2fcd4c19, (q31_t)0x8942ca39, (q31_t)0x2fb5fab2, (q31_t)0x893969b9, (q31_t)0x2f9ea775, (q31_t)0x89300dce,
+  (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2f6ffb7a, (q31_t)0x891d63b5, (q31_t)0x2f58a2be, (q31_t)0x89141589, (q31_t)0x2f41482e, (q31_t)0x890acbf2,
+  (q31_t)0x2f29ebcc, (q31_t)0x890186f2, (q31_t)0x2f128d99, (q31_t)0x88f84687, (q31_t)0x2efb2d95, (q31_t)0x88ef0ab4, (q31_t)0x2ee3cbc1, (q31_t)0x88e5d378,
+  (q31_t)0x2ecc681e, (q31_t)0x88dca0d3, (q31_t)0x2eb502ae, (q31_t)0x88d372c6, (q31_t)0x2e9d9b70, (q31_t)0x88ca4951, (q31_t)0x2e863267, (q31_t)0x88c12475,
+  (q31_t)0x2e6ec792, (q31_t)0x88b80432, (q31_t)0x2e575af3, (q31_t)0x88aee888, (q31_t)0x2e3fec8b, (q31_t)0x88a5d177, (q31_t)0x2e287c5a, (q31_t)0x889cbf01,
+  (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2df996a3, (q31_t)0x888aa7e3, (q31_t)0x2de2211e, (q31_t)0x8881a33d, (q31_t)0x2dcaa9d5, (q31_t)0x8878a332,
+  (q31_t)0x2db330c7, (q31_t)0x886fa7c2, (q31_t)0x2d9bb5f6, (q31_t)0x8866b0ef, (q31_t)0x2d843964, (q31_t)0x885dbeb8, (q31_t)0x2d6cbb10, (q31_t)0x8854d11e,
+  (q31_t)0x2d553afc, (q31_t)0x884be821, (q31_t)0x2d3db928, (q31_t)0x884303c1, (q31_t)0x2d263596, (q31_t)0x883a23ff, (q31_t)0x2d0eb046, (q31_t)0x883148db,
+  (q31_t)0x2cf72939, (q31_t)0x88287256, (q31_t)0x2cdfa071, (q31_t)0x881fa06f, (q31_t)0x2cc815ee, (q31_t)0x8816d327, (q31_t)0x2cb089b1, (q31_t)0x880e0a7f,
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+  (q31_t)0x2c3ab2b9, (q31_t)0x87e2649b, (q31_t)0x2c231c33, (q31_t)0x87d9b7b7, (q31_t)0x2c0b83fa, (q31_t)0x87d10f75, (q31_t)0x2bf3ea0d, (q31_t)0x87c86bd5,
+  (q31_t)0x2bdc4e6f, (q31_t)0x87bfccd7, (q31_t)0x2bc4b120, (q31_t)0x87b7327d, (q31_t)0x2bad1221, (q31_t)0x87ae9cc5, (q31_t)0x2b957173, (q31_t)0x87a60bb1,
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+  (q31_t)0x28e5714b, (q31_t)0x86b583ee, (q31_t)0x28cd9fc1, (q31_t)0x86ad7e99, (q31_t)0x28b5cca5, (q31_t)0x86a57df2, (q31_t)0x289df7f8, (q31_t)0x869d81f8,
+  (q31_t)0x288621b9, (q31_t)0x86958aac, (q31_t)0x286e49ea, (q31_t)0x868d980e, (q31_t)0x2856708d, (q31_t)0x8685aa20, (q31_t)0x283e95a1, (q31_t)0x867dc0e0,
+  (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x280edb23, (q31_t)0x866dfc6e, (q31_t)0x27f6fb92, (q31_t)0x8666213c, (q31_t)0x27df1a77, (q31_t)0x865e4abb,
+  (q31_t)0x27c737d3, (q31_t)0x865678eb, (q31_t)0x27af53a6, (q31_t)0x864eabcb, (q31_t)0x27976df1, (q31_t)0x8646e35c, (q31_t)0x277f86b5, (q31_t)0x863f1f9e,
+  (q31_t)0x27679df4, (q31_t)0x86376092, (q31_t)0x274fb3ae, (q31_t)0x862fa638, (q31_t)0x2737c7e3, (q31_t)0x8627f091, (q31_t)0x271fda96, (q31_t)0x86203f9c,
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+  (q31_t)0x26a82186, (q31_t)0x85fa1153, (q31_t)0x26902b39, (q31_t)0x85f27c93, (q31_t)0x26783370, (q31_t)0x85eaec88, (q31_t)0x26603a2c, (q31_t)0x85e36132,
+  (q31_t)0x26483f6c, (q31_t)0x85dbda91, (q31_t)0x26304333, (q31_t)0x85d458a6, (q31_t)0x26184581, (q31_t)0x85ccdb70, (q31_t)0x26004657, (q31_t)0x85c562f1,
+  (q31_t)0x25e845b6, (q31_t)0x85bdef28, (q31_t)0x25d0439f, (q31_t)0x85b68015, (q31_t)0x25b84012, (q31_t)0x85af15b9, (q31_t)0x25a03b11, (q31_t)0x85a7b015,
+  (q31_t)0x2588349d, (q31_t)0x85a04f28, (q31_t)0x25702cb7, (q31_t)0x8598f2f3, (q31_t)0x2558235f, (q31_t)0x85919b76, (q31_t)0x25401896, (q31_t)0x858a48b1,
+  (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x250ffeb7, (q31_t)0x857bb152, (q31_t)0x24f7efa2, (q31_t)0x85746cb8, (q31_t)0x24dfdf20, (q31_t)0x856d2cd7,
+  (q31_t)0x24c7cd33, (q31_t)0x8565f1b0, (q31_t)0x24afb9da, (q31_t)0x855ebb44, (q31_t)0x2497a517, (q31_t)0x85578991, (q31_t)0x247f8eec, (q31_t)0x85505c99,
+  (q31_t)0x24677758, (q31_t)0x8549345c, (q31_t)0x244f5e5c, (q31_t)0x854210db, (q31_t)0x243743fa, (q31_t)0x853af214, (q31_t)0x241f2833, (q31_t)0x8533d809,
+  (q31_t)0x24070b08, (q31_t)0x852cc2bb, (q31_t)0x23eeec78, (q31_t)0x8525b228, (q31_t)0x23d6cc87, (q31_t)0x851ea652, (q31_t)0x23beab33, (q31_t)0x85179f39,
+  (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x238e646a, (q31_t)0x85099f3e, (q31_t)0x23763ef7, (q31_t)0x8502a65c, (q31_t)0x235e1826, (q31_t)0x84fbb239,
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+  (q31_t)0x22e541af, (q31_t)0x84d934b1, (q31_t)0x22cd12bd, (q31_t)0x84d25d06, (q31_t)0x22b4e274, (q31_t)0x84cb8a1b, (q31_t)0x229cb0d5, (q31_t)0x84c4bbf0,
+  (q31_t)0x22847de0, (q31_t)0x84bdf286, (q31_t)0x226c4996, (q31_t)0x84b72ddb, (q31_t)0x225413f8, (q31_t)0x84b06df2, (q31_t)0x223bdd08, (q31_t)0x84a9b2ca,
+  (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x220b6b32, (q31_t)0x849c4abd, (q31_t)0x21f3304f, (q31_t)0x84959dd9, (q31_t)0x21daf41d, (q31_t)0x848ef5b7,
+  (q31_t)0x21c2b69c, (q31_t)0x84885258, (q31_t)0x21aa77cf, (q31_t)0x8481b3bb, (q31_t)0x219237b5, (q31_t)0x847b19e1, (q31_t)0x2179f64f, (q31_t)0x847484ca,
+  (q31_t)0x2161b3a0, (q31_t)0x846df477, (q31_t)0x21496fa7, (q31_t)0x846768e7, (q31_t)0x21312a65, (q31_t)0x8460e21a, (q31_t)0x2118e3dc, (q31_t)0x845a6012,
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+  (q31_t)0x209f701c, (q31_t)0x843a1d70, (q31_t)0x208721f9, (q31_t)0x8433b806, (q31_t)0x206ed295, (q31_t)0x842d5762, (q31_t)0x205681f1, (q31_t)0x8426fb84,
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+  (q31_t)0x1fdcdc1b, (q31_t)0x840777d0, (q31_t)0x1fc4840a, (q31_t)0x8401389b, (q31_t)0x1fac2abf, (q31_t)0x83fafe2e, (q31_t)0x1f93d03c, (q31_t)0x83f4c889,
+  (q31_t)0x1f7b7481, (q31_t)0x83ee97ad, (q31_t)0x1f63178f, (q31_t)0x83e86b99, (q31_t)0x1f4ab968, (q31_t)0x83e2444d, (q31_t)0x1f325a0b, (q31_t)0x83dc21cb,
+  (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1f0197b8, (q31_t)0x83cfeb22, (q31_t)0x1ee934c3, (q31_t)0x83c9d6fc, (q31_t)0x1ed0d09d, (q31_t)0x83c3c7a0,
+  (q31_t)0x1eb86b46, (q31_t)0x83bdbd0e, (q31_t)0x1ea004c1, (q31_t)0x83b7b746, (q31_t)0x1e879d0d, (q31_t)0x83b1b649, (q31_t)0x1e6f342c, (q31_t)0x83abba17,
+  (q31_t)0x1e56ca1e, (q31_t)0x83a5c2b0, (q31_t)0x1e3e5ee5, (q31_t)0x839fd014, (q31_t)0x1e25f282, (q31_t)0x8399e244, (q31_t)0x1e0d84f5, (q31_t)0x8393f940,
+  (q31_t)0x1df5163f, (q31_t)0x838e1507, (q31_t)0x1ddca662, (q31_t)0x8388359b, (q31_t)0x1dc4355e, (q31_t)0x83825afb, (q31_t)0x1dabc334, (q31_t)0x837c8528,
+  (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1d7adb73, (q31_t)0x8370e7e9, (q31_t)0x1d6265dd, (q31_t)0x836b207d, (q31_t)0x1d49ef26, (q31_t)0x83655ddf,
+  (q31_t)0x1d31774d, (q31_t)0x835fa00f, (q31_t)0x1d18fe54, (q31_t)0x8359e70d, (q31_t)0x1d00843d, (q31_t)0x835432d8, (q31_t)0x1ce80906, (q31_t)0x834e8373,
+  (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1cb70f43, (q31_t)0x83433314, (q31_t)0x1c9e90b8, (q31_t)0x833d921b, (q31_t)0x1c861113, (q31_t)0x8337f5f1,
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+  (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1b90d8bb, (q31_t)0x8300e50b, (q31_t)0x1b784d30, (q31_t)0x82fb7dd8, (q31_t)0x1b5fc097, (q31_t)0x82f61b77,
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+  (q31_t)0x1ae4f1d6, (q31_t)0x82db77e5, (q31_t)0x1acc5ef6, (q31_t)0x82d63274, (q31_t)0x1ab3cb0d, (q31_t)0x82d0f1d5, (q31_t)0x1a9b361d, (q31_t)0x82cbb60b,
+  (q31_t)0x1a82a026, (q31_t)0x82c67f14, (q31_t)0x1a6a0929, (q31_t)0x82c14cf1, (q31_t)0x1a517128, (q31_t)0x82bc1fa2, (q31_t)0x1a38d823, (q31_t)0x82b6f727,
+  (q31_t)0x1a203e1b, (q31_t)0x82b1d381, (q31_t)0x1a07a311, (q31_t)0x82acb4b0, (q31_t)0x19ef0707, (q31_t)0x82a79ab3, (q31_t)0x19d669fc, (q31_t)0x82a2858c,
+  (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x19a52ceb, (q31_t)0x829869be, (q31_t)0x198c8ce7, (q31_t)0x82936317, (q31_t)0x1973ebe6, (q31_t)0x828e6146,
+  (q31_t)0x195b49ea, (q31_t)0x8289644b, (q31_t)0x1942a6f3, (q31_t)0x82846c26, (q31_t)0x192a0304, (q31_t)0x827f78d8, (q31_t)0x19115e1c, (q31_t)0x827a8a61,
+  (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x18e01167, (q31_t)0x8270bbf7, (q31_t)0x18c7699b, (q31_t)0x826bdc04, (q31_t)0x18aec0db, (q31_t)0x826700e9,
+  (q31_t)0x18961728, (q31_t)0x82622aa6, (q31_t)0x187d6c82, (q31_t)0x825d593a, (q31_t)0x1864c0ea, (q31_t)0x82588ca7, (q31_t)0x184c1461, (q31_t)0x8253c4eb,
+  (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x181ab881, (q31_t)0x824a43fe, (q31_t)0x1802092c, (q31_t)0x82458acc, (q31_t)0x17e958ea, (q31_t)0x8240d673,
+  (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, (q31_t)0x17b7f5a3, (q31_t)0x82377c4c, (q31_t)0x179f429f, (q31_t)0x8232d67f, (q31_t)0x17868eb3, (q31_t)0x822e358b,
+  (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x17552422, (q31_t)0x82250232, (q31_t)0x173c6d80, (q31_t)0x82206fcc, (q31_t)0x1723b5f9, (q31_t)0x821be240,
+  (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x16f2443e, (q31_t)0x8212d5b9, (q31_t)0x16d98a0c, (q31_t)0x820e56be, (q31_t)0x16c0cef9, (q31_t)0x8209dc9e,
+  (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x168f5632, (q31_t)0x8200f6ef, (q31_t)0x1676987f, (q31_t)0x81fc8b60, (q31_t)0x165dd9f0, (q31_t)0x81f824ae,
+  (q31_t)0x16451a83, (q31_t)0x81f3c2d7, (q31_t)0x162c5a3b, (q31_t)0x81ef65dc, (q31_t)0x16139918, (q31_t)0x81eb0dbe, (q31_t)0x15fad71b, (q31_t)0x81e6ba7c,
+  (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x15c95097, (q31_t)0x81de228d, (q31_t)0x15b08c12, (q31_t)0x81d9dde1, (q31_t)0x1597c6b7, (q31_t)0x81d59e13,
+  (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x15663982, (q31_t)0x81cd2d0c, (q31_t)0x154d71aa, (q31_t)0x81c8fbd6, (q31_t)0x1534a901, (q31_t)0x81c4cf7d,
+  (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x1503153a, (q31_t)0x81bc8564, (q31_t)0x14ea4a1f, (q31_t)0x81b867a5, (q31_t)0x14d17e36, (q31_t)0x81b44ec4,
+  (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, (q31_t)0x149fe3fc, (q31_t)0x81ac2b9e, (q31_t)0x148715ae, (q31_t)0x81a82159, (q31_t)0x146e4694, (q31_t)0x81a41bf4,
+  (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x143ca605, (q31_t)0x819c1fc5, (q31_t)0x1423d492, (q31_t)0x819828fd, (q31_t)0x140b0258, (q31_t)0x81943715,
+  (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x13d95b93, (q31_t)0x818c61e3, (q31_t)0x13c0870a, (q31_t)0x81887e9a, (q31_t)0x13a7b1bf, (q31_t)0x8184a032,
+  (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x137604e2, (q31_t)0x817cf201, (q31_t)0x135d2d53, (q31_t)0x8179223a, (q31_t)0x13445505, (q31_t)0x81755754,
+  (q31_t)0x132b7bf9, (q31_t)0x8171914e, (q31_t)0x1312a230, (q31_t)0x816dd02a, (q31_t)0x12f9c7aa, (q31_t)0x816a13e6, (q31_t)0x12e0ec6a, (q31_t)0x81665c84,
+  (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x12af33ba, (q31_t)0x815efc65, (q31_t)0x1296564d, (q31_t)0x815b53a8, (q31_t)0x127d7829, (q31_t)0x8157afcd,
+  (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x124bb9be, (q31_t)0x815076bd, (q31_t)0x1232d979, (q31_t)0x814ce188, (q31_t)0x1219f880, (q31_t)0x81495136,
+  (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x11e83478, (q31_t)0x81423f3a, (q31_t)0x11cf516a, (q31_t)0x813ebd90, (q31_t)0x11b66dad, (q31_t)0x813b40ca,
+  (q31_t)0x119d8941, (q31_t)0x8137c8e6, (q31_t)0x1184a427, (q31_t)0x813455e6, (q31_t)0x116bbe60, (q31_t)0x8130e7c9, (q31_t)0x1152d7ed, (q31_t)0x812d7e8f,
+  (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x11210907, (q31_t)0x8126bac8, (q31_t)0x11082096, (q31_t)0x8123603a, (q31_t)0x10ef377d, (q31_t)0x81200a90,
+  (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x10bd6356, (q31_t)0x81196de9, (q31_t)0x10a4784b, (q31_t)0x811626ec, (q31_t)0x108b8c9b, (q31_t)0x8112e4d4,
+  (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x1059b352, (q31_t)0x810c6f52, (q31_t)0x1040c5bb, (q31_t)0x81093be8, (q31_t)0x1027d784, (q31_t)0x81060d63,
+  (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, (q31_t)0xff5f938, (q31_t)0x80ffbf0a, (q31_t)0xfdd0926, (q31_t)0x80fc9f35, (q31_t)0xfc41876, (q31_t)0x80f98446,
+  (q31_t)0xfab272b, (q31_t)0x80f66e3c, (q31_t)0xf923546, (q31_t)0x80f35d19, (q31_t)0xf7942c7, (q31_t)0x80f050db, (q31_t)0xf604faf, (q31_t)0x80ed4984,
+  (q31_t)0xf475bff, (q31_t)0x80ea4712, (q31_t)0xf2e67b8, (q31_t)0x80e74987, (q31_t)0xf1572dc, (q31_t)0x80e450e2, (q31_t)0xefc7d6b, (q31_t)0x80e15d24,
+  (q31_t)0xee38766, (q31_t)0x80de6e4c, (q31_t)0xeca90ce, (q31_t)0x80db845b, (q31_t)0xeb199a4, (q31_t)0x80d89f51, (q31_t)0xe98a1e9, (q31_t)0x80d5bf2e,
+  (q31_t)0xe7fa99e, (q31_t)0x80d2e3f2, (q31_t)0xe66b0c3, (q31_t)0x80d00d9d, (q31_t)0xe4db75b, (q31_t)0x80cd3c2f, (q31_t)0xe34bd66, (q31_t)0x80ca6fa9,
+  (q31_t)0xe1bc2e4, (q31_t)0x80c7a80a, (q31_t)0xe02c7d7, (q31_t)0x80c4e553, (q31_t)0xde9cc40, (q31_t)0x80c22784, (q31_t)0xdd0d01f, (q31_t)0x80bf6e9c,
+  (q31_t)0xdb7d376, (q31_t)0x80bcba9d, (q31_t)0xd9ed646, (q31_t)0x80ba0b85, (q31_t)0xd85d88f, (q31_t)0x80b76156, (q31_t)0xd6cda53, (q31_t)0x80b4bc0e,
+  (q31_t)0xd53db92, (q31_t)0x80b21baf, (q31_t)0xd3adc4e, (q31_t)0x80af8039, (q31_t)0xd21dc87, (q31_t)0x80ace9ab, (q31_t)0xd08dc3f, (q31_t)0x80aa5806,
+  (q31_t)0xcefdb76, (q31_t)0x80a7cb49, (q31_t)0xcd6da2d, (q31_t)0x80a54376, (q31_t)0xcbdd865, (q31_t)0x80a2c08b, (q31_t)0xca4d620, (q31_t)0x80a04289,
+  (q31_t)0xc8bd35e, (q31_t)0x809dc971, (q31_t)0xc72d020, (q31_t)0x809b5541, (q31_t)0xc59cc68, (q31_t)0x8098e5fb, (q31_t)0xc40c835, (q31_t)0x80967b9f,
+  (q31_t)0xc27c389, (q31_t)0x8094162c, (q31_t)0xc0ebe66, (q31_t)0x8091b5a2, (q31_t)0xbf5b8cb, (q31_t)0x808f5a02, (q31_t)0xbdcb2bb, (q31_t)0x808d034c,
+  (q31_t)0xbc3ac35, (q31_t)0x808ab180, (q31_t)0xbaaa53b, (q31_t)0x8088649e, (q31_t)0xb919dcf, (q31_t)0x80861ca6, (q31_t)0xb7895f0, (q31_t)0x8083d998,
+  (q31_t)0xb5f8d9f, (q31_t)0x80819b74, (q31_t)0xb4684df, (q31_t)0x807f623b, (q31_t)0xb2d7baf, (q31_t)0x807d2dec, (q31_t)0xb147211, (q31_t)0x807afe87,
+  (q31_t)0xafb6805, (q31_t)0x8078d40d, (q31_t)0xae25d8d, (q31_t)0x8076ae7e, (q31_t)0xac952aa, (q31_t)0x80748dd9, (q31_t)0xab0475c, (q31_t)0x8072721f,
+  (q31_t)0xa973ba5, (q31_t)0x80705b50, (q31_t)0xa7e2f85, (q31_t)0x806e496c, (q31_t)0xa6522fe, (q31_t)0x806c3c74, (q31_t)0xa4c1610, (q31_t)0x806a3466,
+  (q31_t)0xa3308bd, (q31_t)0x80683143, (q31_t)0xa19fb04, (q31_t)0x8066330c, (q31_t)0xa00ece8, (q31_t)0x806439c0, (q31_t)0x9e7de6a, (q31_t)0x80624560,
+  (q31_t)0x9cecf89, (q31_t)0x806055eb, (q31_t)0x9b5c048, (q31_t)0x805e6b62, (q31_t)0x99cb0a7, (q31_t)0x805c85c4, (q31_t)0x983a0a7, (q31_t)0x805aa512,
+  (q31_t)0x96a9049, (q31_t)0x8058c94c, (q31_t)0x9517f8f, (q31_t)0x8056f272, (q31_t)0x9386e78, (q31_t)0x80552084, (q31_t)0x91f5d06, (q31_t)0x80535381,
+  (q31_t)0x9064b3a, (q31_t)0x80518b6b, (q31_t)0x8ed3916, (q31_t)0x804fc841, (q31_t)0x8d42699, (q31_t)0x804e0a04, (q31_t)0x8bb13c5, (q31_t)0x804c50b2,
+  (q31_t)0x8a2009a, (q31_t)0x804a9c4d, (q31_t)0x888ed1b, (q31_t)0x8048ecd5, (q31_t)0x86fd947, (q31_t)0x80474248, (q31_t)0x856c520, (q31_t)0x80459ca9,
+  (q31_t)0x83db0a7, (q31_t)0x8043fbf6, (q31_t)0x8249bdd, (q31_t)0x80426030, (q31_t)0x80b86c2, (q31_t)0x8040c956, (q31_t)0x7f27157, (q31_t)0x803f376a,
+  (q31_t)0x7d95b9e, (q31_t)0x803daa6a, (q31_t)0x7c04598, (q31_t)0x803c2257, (q31_t)0x7a72f45, (q31_t)0x803a9f31, (q31_t)0x78e18a7, (q31_t)0x803920f8,
+  (q31_t)0x77501be, (q31_t)0x8037a7ac, (q31_t)0x75bea8c, (q31_t)0x8036334e, (q31_t)0x742d311, (q31_t)0x8034c3dd, (q31_t)0x729bb4e, (q31_t)0x80335959,
+  (q31_t)0x710a345, (q31_t)0x8031f3c2, (q31_t)0x6f78af6, (q31_t)0x80309318, (q31_t)0x6de7262, (q31_t)0x802f375d, (q31_t)0x6c5598a, (q31_t)0x802de08e,
+  (q31_t)0x6ac406f, (q31_t)0x802c8ead, (q31_t)0x6932713, (q31_t)0x802b41ba, (q31_t)0x67a0d76, (q31_t)0x8029f9b4, (q31_t)0x660f398, (q31_t)0x8028b69c,
+  (q31_t)0x647d97c, (q31_t)0x80277872, (q31_t)0x62ebf22, (q31_t)0x80263f36, (q31_t)0x615a48b, (q31_t)0x80250ae7, (q31_t)0x5fc89b8, (q31_t)0x8023db86,
+  (q31_t)0x5e36ea9, (q31_t)0x8022b114, (q31_t)0x5ca5361, (q31_t)0x80218b8f, (q31_t)0x5b137df, (q31_t)0x80206af8, (q31_t)0x5981c26, (q31_t)0x801f4f4f,
+  (q31_t)0x57f0035, (q31_t)0x801e3895, (q31_t)0x565e40d, (q31_t)0x801d26c8, (q31_t)0x54cc7b1, (q31_t)0x801c19ea, (q31_t)0x533ab20, (q31_t)0x801b11fa,
+  (q31_t)0x51a8e5c, (q31_t)0x801a0ef8, (q31_t)0x5017165, (q31_t)0x801910e4, (q31_t)0x4e8543e, (q31_t)0x801817bf, (q31_t)0x4cf36e5, (q31_t)0x80172388,
+  (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x49cfba7, (q31_t)0x801549e6, (q31_t)0x483ddc3, (q31_t)0x8014647b, (q31_t)0x46abfb3, (q31_t)0x801383fe,
+  (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x4388310, (q31_t)0x8011d1d0, (q31_t)0x41f6480, (q31_t)0x8011001f, (q31_t)0x40645c7, (q31_t)0x8010335c,
+  (q31_t)0x3ed26e6, (q31_t)0x800f6b88, (q31_t)0x3d407df, (q31_t)0x800ea8a3, (q31_t)0x3bae8b2, (q31_t)0x800deaad, (q31_t)0x3a1c960, (q31_t)0x800d31a5,
+  (q31_t)0x388a9ea, (q31_t)0x800c7d8c, (q31_t)0x36f8a51, (q31_t)0x800bce63, (q31_t)0x3566a96, (q31_t)0x800b2427, (q31_t)0x33d4abb, (q31_t)0x800a7edb,
+  (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x30b0aa4, (q31_t)0x80094310, (q31_t)0x2f1ea6c, (q31_t)0x8008ac90, (q31_t)0x2d8ca16, (q31_t)0x80081b00,
+  (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x2a68917, (q31_t)0x800706ac, (q31_t)0x28d6870, (q31_t)0x800683e8, (q31_t)0x27447b0, (q31_t)0x80060614,
+  (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x24205e8, (q31_t)0x80051939, (q31_t)0x228e4e2, (q31_t)0x8004aa32, (q31_t)0x20fc3c6, (q31_t)0x8004401a,
+  (q31_t)0x1f6a297, (q31_t)0x8003daf1, (q31_t)0x1dd8154, (q31_t)0x80037ab7, (q31_t)0x1c45ffe, (q31_t)0x80031f6d, (q31_t)0x1ab3e97, (q31_t)0x8002c912,
+  (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x178fb99, (q31_t)0x80022b29, (q31_t)0x15fda03, (q31_t)0x8001e39b, (q31_t)0x146b860, (q31_t)0x8001a0fd,
+  (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0x11474f6, (q31_t)0x80012a8e, (q31_t)0x0fb5330, (q31_t)0x8000f6bd, (q31_t)0xe23160, (q31_t)0x8000c7dc,
+  (q31_t)0x0c90f88, (q31_t)0x80009dea, (q31_t)0x0afeda8, (q31_t)0x800078e7, (q31_t)0x096cbc1, (q31_t)0x800058d4, (q31_t)0x7da9d4, (q31_t)0x80003daf,
+  (q31_t)0x06487e3, (q31_t)0x8000277a, (q31_t)0x04b65ee, (q31_t)0x80001635, (q31_t)0x03243f5, (q31_t)0x800009df, (q31_t)0x1921fb, (q31_t)0x80000278
+};
+     const q31_t cos_factorsQ31_2048[2048] = {
+  (q31_t)0x7fffff62, (q31_t)0x7ffffa73, (q31_t)0x7ffff094, (q31_t)0x7fffe1c6, (q31_t)0x7fffce09, (q31_t)0x7fffb55c,
+  (q31_t)0x7fff97c1, (q31_t)0x7fff7536,
+  (q31_t)0x7fff4dbb, (q31_t)0x7fff2151, (q31_t)0x7ffeeff8, (q31_t)0x7ffeb9b0, (q31_t)0x7ffe7e79, (q31_t)0x7ffe3e52,
+  (q31_t)0x7ffdf93c, (q31_t)0x7ffdaf37,
+  (q31_t)0x7ffd6042, (q31_t)0x7ffd0c5f, (q31_t)0x7ffcb38c, (q31_t)0x7ffc55ca, (q31_t)0x7ffbf319, (q31_t)0x7ffb8b78,
+  (q31_t)0x7ffb1ee9, (q31_t)0x7ffaad6a,
+  (q31_t)0x7ffa36fc, (q31_t)0x7ff9bba0, (q31_t)0x7ff93b54, (q31_t)0x7ff8b619, (q31_t)0x7ff82bef, (q31_t)0x7ff79cd6,
+  (q31_t)0x7ff708ce, (q31_t)0x7ff66fd7,
+  (q31_t)0x7ff5d1f1, (q31_t)0x7ff52f1d, (q31_t)0x7ff48759, (q31_t)0x7ff3daa6, (q31_t)0x7ff32905, (q31_t)0x7ff27275,
+  (q31_t)0x7ff1b6f6, (q31_t)0x7ff0f688,
+  (q31_t)0x7ff0312c, (q31_t)0x7fef66e1, (q31_t)0x7fee97a7, (q31_t)0x7fedc37e, (q31_t)0x7fecea67, (q31_t)0x7fec0c62,
+  (q31_t)0x7feb296d, (q31_t)0x7fea418b,
+  (q31_t)0x7fe954ba, (q31_t)0x7fe862fa, (q31_t)0x7fe76c4c, (q31_t)0x7fe670b0, (q31_t)0x7fe57025, (q31_t)0x7fe46aac,
+  (q31_t)0x7fe36045, (q31_t)0x7fe250ef,
+  (q31_t)0x7fe13cac, (q31_t)0x7fe0237a, (q31_t)0x7fdf055a, (q31_t)0x7fdde24d, (q31_t)0x7fdcba51, (q31_t)0x7fdb8d67,
+  (q31_t)0x7fda5b8f, (q31_t)0x7fd924ca,
+  (q31_t)0x7fd7e917, (q31_t)0x7fd6a875, (q31_t)0x7fd562e7, (q31_t)0x7fd4186a, (q31_t)0x7fd2c900, (q31_t)0x7fd174a8,
+  (q31_t)0x7fd01b63, (q31_t)0x7fcebd31,
+  (q31_t)0x7fcd5a11, (q31_t)0x7fcbf203, (q31_t)0x7fca8508, (q31_t)0x7fc91320, (q31_t)0x7fc79c4b, (q31_t)0x7fc62089,
+  (q31_t)0x7fc49fda, (q31_t)0x7fc31a3d,
+  (q31_t)0x7fc18fb4, (q31_t)0x7fc0003e, (q31_t)0x7fbe6bdb, (q31_t)0x7fbcd28b, (q31_t)0x7fbb344e, (q31_t)0x7fb99125,
+  (q31_t)0x7fb7e90f, (q31_t)0x7fb63c0d,
+  (q31_t)0x7fb48a1e, (q31_t)0x7fb2d343, (q31_t)0x7fb1177b, (q31_t)0x7faf56c7, (q31_t)0x7fad9127, (q31_t)0x7fabc69b,
+  (q31_t)0x7fa9f723, (q31_t)0x7fa822bf,
+  (q31_t)0x7fa6496e, (q31_t)0x7fa46b32, (q31_t)0x7fa2880b, (q31_t)0x7fa09ff7, (q31_t)0x7f9eb2f8, (q31_t)0x7f9cc10d,
+  (q31_t)0x7f9aca37, (q31_t)0x7f98ce76,
+  (q31_t)0x7f96cdc9, (q31_t)0x7f94c831, (q31_t)0x7f92bdad, (q31_t)0x7f90ae3f, (q31_t)0x7f8e99e6, (q31_t)0x7f8c80a1,
+  (q31_t)0x7f8a6272, (q31_t)0x7f883f58,
+  (q31_t)0x7f861753, (q31_t)0x7f83ea64, (q31_t)0x7f81b88a, (q31_t)0x7f7f81c6, (q31_t)0x7f7d4617, (q31_t)0x7f7b057e,
+  (q31_t)0x7f78bffb, (q31_t)0x7f76758e,
+  (q31_t)0x7f742637, (q31_t)0x7f71d1f6, (q31_t)0x7f6f78cb, (q31_t)0x7f6d1ab6, (q31_t)0x7f6ab7b8, (q31_t)0x7f684fd0,
+  (q31_t)0x7f65e2ff, (q31_t)0x7f637144,
+  (q31_t)0x7f60faa0, (q31_t)0x7f5e7f13, (q31_t)0x7f5bfe9d, (q31_t)0x7f59793e, (q31_t)0x7f56eef5, (q31_t)0x7f545fc5,
+  (q31_t)0x7f51cbab, (q31_t)0x7f4f32a9,
+  (q31_t)0x7f4c94be, (q31_t)0x7f49f1eb, (q31_t)0x7f474a30, (q31_t)0x7f449d8c, (q31_t)0x7f41ec01, (q31_t)0x7f3f358d,
+  (q31_t)0x7f3c7a31, (q31_t)0x7f39b9ee,
+  (q31_t)0x7f36f4c3, (q31_t)0x7f342ab1, (q31_t)0x7f315bb7, (q31_t)0x7f2e87d6, (q31_t)0x7f2baf0d, (q31_t)0x7f28d15d,
+  (q31_t)0x7f25eec7, (q31_t)0x7f230749,
+  (q31_t)0x7f201ae5, (q31_t)0x7f1d299a, (q31_t)0x7f1a3368, (q31_t)0x7f173850, (q31_t)0x7f143852, (q31_t)0x7f11336d,
+  (q31_t)0x7f0e29a3, (q31_t)0x7f0b1af2,
+  (q31_t)0x7f08075c, (q31_t)0x7f04eedf, (q31_t)0x7f01d17d, (q31_t)0x7efeaf36, (q31_t)0x7efb8809, (q31_t)0x7ef85bf7,
+  (q31_t)0x7ef52b00, (q31_t)0x7ef1f524,
+  (q31_t)0x7eeeba62, (q31_t)0x7eeb7abc, (q31_t)0x7ee83632, (q31_t)0x7ee4ecc3, (q31_t)0x7ee19e6f, (q31_t)0x7ede4b38,
+  (q31_t)0x7edaf31c, (q31_t)0x7ed7961c,
+  (q31_t)0x7ed43438, (q31_t)0x7ed0cd70, (q31_t)0x7ecd61c5, (q31_t)0x7ec9f137, (q31_t)0x7ec67bc5, (q31_t)0x7ec3016f,
+  (q31_t)0x7ebf8237, (q31_t)0x7ebbfe1c,
+  (q31_t)0x7eb8751e, (q31_t)0x7eb4e73d, (q31_t)0x7eb1547a, (q31_t)0x7eadbcd4, (q31_t)0x7eaa204c, (q31_t)0x7ea67ee2,
+  (q31_t)0x7ea2d896, (q31_t)0x7e9f2d68,
+  (q31_t)0x7e9b7d58, (q31_t)0x7e97c867, (q31_t)0x7e940e94, (q31_t)0x7e904fe0, (q31_t)0x7e8c8c4b, (q31_t)0x7e88c3d5,
+  (q31_t)0x7e84f67e, (q31_t)0x7e812447,
+  (q31_t)0x7e7d4d2f, (q31_t)0x7e797136, (q31_t)0x7e75905d, (q31_t)0x7e71aaa4, (q31_t)0x7e6dc00c, (q31_t)0x7e69d093,
+  (q31_t)0x7e65dc3b, (q31_t)0x7e61e303,
+  (q31_t)0x7e5de4ec, (q31_t)0x7e59e1f5, (q31_t)0x7e55da20, (q31_t)0x7e51cd6c, (q31_t)0x7e4dbbd9, (q31_t)0x7e49a567,
+  (q31_t)0x7e458a17, (q31_t)0x7e4169e9,
+  (q31_t)0x7e3d44dd, (q31_t)0x7e391af3, (q31_t)0x7e34ec2b, (q31_t)0x7e30b885, (q31_t)0x7e2c8002, (q31_t)0x7e2842a2,
+  (q31_t)0x7e240064, (q31_t)0x7e1fb94a,
+  (q31_t)0x7e1b6d53, (q31_t)0x7e171c7f, (q31_t)0x7e12c6ce, (q31_t)0x7e0e6c42, (q31_t)0x7e0a0cd9, (q31_t)0x7e05a894,
+  (q31_t)0x7e013f74, (q31_t)0x7dfcd178,
+  (q31_t)0x7df85ea0, (q31_t)0x7df3e6ee, (q31_t)0x7def6a60, (q31_t)0x7deae8f7, (q31_t)0x7de662b3, (q31_t)0x7de1d795,
+  (q31_t)0x7ddd479d, (q31_t)0x7dd8b2ca,
+  (q31_t)0x7dd4191d, (q31_t)0x7dcf7a96, (q31_t)0x7dcad736, (q31_t)0x7dc62efc, (q31_t)0x7dc181e8, (q31_t)0x7dbccffc,
+  (q31_t)0x7db81936, (q31_t)0x7db35d98,
+  (q31_t)0x7dae9d21, (q31_t)0x7da9d7d2, (q31_t)0x7da50dab, (q31_t)0x7da03eab, (q31_t)0x7d9b6ad3, (q31_t)0x7d969224,
+  (q31_t)0x7d91b49e, (q31_t)0x7d8cd240,
+  (q31_t)0x7d87eb0a, (q31_t)0x7d82fefe, (q31_t)0x7d7e0e1c, (q31_t)0x7d791862, (q31_t)0x7d741dd2, (q31_t)0x7d6f1e6c,
+  (q31_t)0x7d6a1a31, (q31_t)0x7d65111f,
+  (q31_t)0x7d600338, (q31_t)0x7d5af07b, (q31_t)0x7d55d8e9, (q31_t)0x7d50bc82, (q31_t)0x7d4b9b46, (q31_t)0x7d467536,
+  (q31_t)0x7d414a51, (q31_t)0x7d3c1a98,
+  (q31_t)0x7d36e60b, (q31_t)0x7d31acaa, (q31_t)0x7d2c6e76, (q31_t)0x7d272b6e, (q31_t)0x7d21e393, (q31_t)0x7d1c96e5,
+  (q31_t)0x7d174564, (q31_t)0x7d11ef11,
+  (q31_t)0x7d0c93eb, (q31_t)0x7d0733f3, (q31_t)0x7d01cf29, (q31_t)0x7cfc658d, (q31_t)0x7cf6f720, (q31_t)0x7cf183e1,
+  (q31_t)0x7cec0bd1, (q31_t)0x7ce68ef0,
+  (q31_t)0x7ce10d3f, (q31_t)0x7cdb86bd, (q31_t)0x7cd5fb6a, (q31_t)0x7cd06b48, (q31_t)0x7ccad656, (q31_t)0x7cc53c94,
+  (q31_t)0x7cbf9e03, (q31_t)0x7cb9faa2,
+  (q31_t)0x7cb45272, (q31_t)0x7caea574, (q31_t)0x7ca8f3a7, (q31_t)0x7ca33d0c, (q31_t)0x7c9d81a3, (q31_t)0x7c97c16b,
+  (q31_t)0x7c91fc66, (q31_t)0x7c8c3294,
+  (q31_t)0x7c8663f4, (q31_t)0x7c809088, (q31_t)0x7c7ab84e, (q31_t)0x7c74db48, (q31_t)0x7c6ef976, (q31_t)0x7c6912d7,
+  (q31_t)0x7c63276d, (q31_t)0x7c5d3737,
+  (q31_t)0x7c574236, (q31_t)0x7c514869, (q31_t)0x7c4b49d2, (q31_t)0x7c45466f, (q31_t)0x7c3f3e42, (q31_t)0x7c39314b,
+  (q31_t)0x7c331f8a, (q31_t)0x7c2d08ff,
+  (q31_t)0x7c26edab, (q31_t)0x7c20cd8d, (q31_t)0x7c1aa8a6, (q31_t)0x7c147ef6, (q31_t)0x7c0e507e, (q31_t)0x7c081d3d,
+  (q31_t)0x7c01e534, (q31_t)0x7bfba863,
+  (q31_t)0x7bf566cb, (q31_t)0x7bef206b, (q31_t)0x7be8d544, (q31_t)0x7be28556, (q31_t)0x7bdc30a1, (q31_t)0x7bd5d726,
+  (q31_t)0x7bcf78e5, (q31_t)0x7bc915dd,
+  (q31_t)0x7bc2ae10, (q31_t)0x7bbc417e, (q31_t)0x7bb5d026, (q31_t)0x7baf5a09, (q31_t)0x7ba8df28, (q31_t)0x7ba25f82,
+  (q31_t)0x7b9bdb18, (q31_t)0x7b9551ea,
+  (q31_t)0x7b8ec3f8, (q31_t)0x7b883143, (q31_t)0x7b8199ca, (q31_t)0x7b7afd8f, (q31_t)0x7b745c91, (q31_t)0x7b6db6d0,
+  (q31_t)0x7b670c4d, (q31_t)0x7b605d09,
+  (q31_t)0x7b59a902, (q31_t)0x7b52f03a, (q31_t)0x7b4c32b1, (q31_t)0x7b457068, (q31_t)0x7b3ea95d, (q31_t)0x7b37dd92,
+  (q31_t)0x7b310d07, (q31_t)0x7b2a37bc,
+  (q31_t)0x7b235db2, (q31_t)0x7b1c7ee8, (q31_t)0x7b159b5f, (q31_t)0x7b0eb318, (q31_t)0x7b07c612, (q31_t)0x7b00d44d,
+  (q31_t)0x7af9ddcb, (q31_t)0x7af2e28b,
+  (q31_t)0x7aebe28d, (q31_t)0x7ae4ddd2, (q31_t)0x7addd45b, (q31_t)0x7ad6c626, (q31_t)0x7acfb336, (q31_t)0x7ac89b89,
+  (q31_t)0x7ac17f20, (q31_t)0x7aba5dfc,
+  (q31_t)0x7ab3381d, (q31_t)0x7aac0d82, (q31_t)0x7aa4de2d, (q31_t)0x7a9daa1d, (q31_t)0x7a967153, (q31_t)0x7a8f33d0,
+  (q31_t)0x7a87f192, (q31_t)0x7a80aa9c,
+  (q31_t)0x7a795eec, (q31_t)0x7a720e84, (q31_t)0x7a6ab963, (q31_t)0x7a635f8a, (q31_t)0x7a5c00f9, (q31_t)0x7a549db0,
+  (q31_t)0x7a4d35b0, (q31_t)0x7a45c8f9,
+  (q31_t)0x7a3e578b, (q31_t)0x7a36e166, (q31_t)0x7a2f668c, (q31_t)0x7a27e6fb, (q31_t)0x7a2062b5, (q31_t)0x7a18d9b9,
+  (q31_t)0x7a114c09, (q31_t)0x7a09b9a4,
+  (q31_t)0x7a02228a, (q31_t)0x79fa86bc, (q31_t)0x79f2e63a, (q31_t)0x79eb4105, (q31_t)0x79e3971c, (q31_t)0x79dbe880,
+  (q31_t)0x79d43532, (q31_t)0x79cc7d31,
+  (q31_t)0x79c4c07e, (q31_t)0x79bcff19, (q31_t)0x79b53903, (q31_t)0x79ad6e3c, (q31_t)0x79a59ec3, (q31_t)0x799dca9a,
+  (q31_t)0x7995f1c1, (q31_t)0x798e1438,
+  (q31_t)0x798631ff, (q31_t)0x797e4b16, (q31_t)0x79765f7f, (q31_t)0x796e6f39, (q31_t)0x79667a44, (q31_t)0x795e80a1,
+  (q31_t)0x79568250, (q31_t)0x794e7f52,
+  (q31_t)0x794677a6, (q31_t)0x793e6b4e, (q31_t)0x79365a49, (q31_t)0x792e4497, (q31_t)0x79262a3a, (q31_t)0x791e0b31,
+  (q31_t)0x7915e77c, (q31_t)0x790dbf1d,
+  (q31_t)0x79059212, (q31_t)0x78fd605d, (q31_t)0x78f529fe, (q31_t)0x78eceef6, (q31_t)0x78e4af44, (q31_t)0x78dc6ae8,
+  (q31_t)0x78d421e4, (q31_t)0x78cbd437,
+  (q31_t)0x78c381e2, (q31_t)0x78bb2ae5, (q31_t)0x78b2cf41, (q31_t)0x78aa6ef5, (q31_t)0x78a20a03, (q31_t)0x7899a06a,
+  (q31_t)0x7891322a, (q31_t)0x7888bf45,
+  (q31_t)0x788047ba, (q31_t)0x7877cb89, (q31_t)0x786f4ab4, (q31_t)0x7866c53a, (q31_t)0x785e3b1c, (q31_t)0x7855ac5a,
+  (q31_t)0x784d18f4, (q31_t)0x784480ea,
+  (q31_t)0x783be43e, (q31_t)0x783342ef, (q31_t)0x782a9cfe, (q31_t)0x7821f26b, (q31_t)0x78194336, (q31_t)0x78108f60,
+  (q31_t)0x7807d6e9, (q31_t)0x77ff19d1,
+  (q31_t)0x77f65819, (q31_t)0x77ed91c0, (q31_t)0x77e4c6c9, (q31_t)0x77dbf732, (q31_t)0x77d322fc, (q31_t)0x77ca4a27,
+  (q31_t)0x77c16cb4, (q31_t)0x77b88aa3,
+  (q31_t)0x77afa3f5, (q31_t)0x77a6b8a9, (q31_t)0x779dc8c0, (q31_t)0x7794d43b, (q31_t)0x778bdb19, (q31_t)0x7782dd5c,
+  (q31_t)0x7779db03, (q31_t)0x7770d40f,
+  (q31_t)0x7767c880, (q31_t)0x775eb857, (q31_t)0x7755a394, (q31_t)0x774c8a36, (q31_t)0x77436c40, (q31_t)0x773a49b0,
+  (q31_t)0x77312287, (q31_t)0x7727f6c6,
+  (q31_t)0x771ec66e, (q31_t)0x7715917d, (q31_t)0x770c57f5, (q31_t)0x770319d6, (q31_t)0x76f9d721, (q31_t)0x76f08fd5,
+  (q31_t)0x76e743f4, (q31_t)0x76ddf37c,
+  (q31_t)0x76d49e70, (q31_t)0x76cb44cf, (q31_t)0x76c1e699, (q31_t)0x76b883d0, (q31_t)0x76af1c72, (q31_t)0x76a5b082,
+  (q31_t)0x769c3ffe, (q31_t)0x7692cae8,
+  (q31_t)0x7689513f, (q31_t)0x767fd304, (q31_t)0x76765038, (q31_t)0x766cc8db, (q31_t)0x76633ced, (q31_t)0x7659ac6f,
+  (q31_t)0x76501760, (q31_t)0x76467dc2,
+  (q31_t)0x763cdf94, (q31_t)0x76333cd8, (q31_t)0x7629958c, (q31_t)0x761fe9b3, (q31_t)0x7616394c, (q31_t)0x760c8457,
+  (q31_t)0x7602cad5, (q31_t)0x75f90cc7,
+  (q31_t)0x75ef4a2c, (q31_t)0x75e58305, (q31_t)0x75dbb753, (q31_t)0x75d1e715, (q31_t)0x75c8124d, (q31_t)0x75be38fa,
+  (q31_t)0x75b45b1d, (q31_t)0x75aa78b6,
+  (q31_t)0x75a091c6, (q31_t)0x7596a64d, (q31_t)0x758cb64c, (q31_t)0x7582c1c2, (q31_t)0x7578c8b0, (q31_t)0x756ecb18,
+  (q31_t)0x7564c8f8, (q31_t)0x755ac251,
+  (q31_t)0x7550b725, (q31_t)0x7546a772, (q31_t)0x753c933a, (q31_t)0x75327a7d, (q31_t)0x75285d3b, (q31_t)0x751e3b75,
+  (q31_t)0x7514152b, (q31_t)0x7509ea5d,
+  (q31_t)0x74ffbb0d, (q31_t)0x74f58739, (q31_t)0x74eb4ee3, (q31_t)0x74e1120c, (q31_t)0x74d6d0b2, (q31_t)0x74cc8ad8,
+  (q31_t)0x74c2407d, (q31_t)0x74b7f1a1,
+  (q31_t)0x74ad9e46, (q31_t)0x74a3466b, (q31_t)0x7498ea11, (q31_t)0x748e8938, (q31_t)0x748423e0, (q31_t)0x7479ba0b,
+  (q31_t)0x746f4bb8, (q31_t)0x7464d8e8,
+  (q31_t)0x745a619b, (q31_t)0x744fe5d2, (q31_t)0x7445658d, (q31_t)0x743ae0cc, (q31_t)0x74305790, (q31_t)0x7425c9da,
+  (q31_t)0x741b37a9, (q31_t)0x7410a0fe,
+  (q31_t)0x740605d9, (q31_t)0x73fb663c, (q31_t)0x73f0c226, (q31_t)0x73e61997, (q31_t)0x73db6c91, (q31_t)0x73d0bb13,
+  (q31_t)0x73c6051f, (q31_t)0x73bb4ab3,
+  (q31_t)0x73b08bd1, (q31_t)0x73a5c87a, (q31_t)0x739b00ad, (q31_t)0x7390346b, (q31_t)0x738563b5, (q31_t)0x737a8e8a,
+  (q31_t)0x736fb4ec, (q31_t)0x7364d6da,
+  (q31_t)0x7359f456, (q31_t)0x734f0d5f, (q31_t)0x734421f6, (q31_t)0x7339321b, (q31_t)0x732e3dcf, (q31_t)0x73234512,
+  (q31_t)0x731847e5, (q31_t)0x730d4648,
+  (q31_t)0x7302403c, (q31_t)0x72f735c0, (q31_t)0x72ec26d6, (q31_t)0x72e1137d, (q31_t)0x72d5fbb7, (q31_t)0x72cadf83,
+  (q31_t)0x72bfbee3, (q31_t)0x72b499d6,
+  (q31_t)0x72a9705c, (q31_t)0x729e4277, (q31_t)0x72931027, (q31_t)0x7287d96c, (q31_t)0x727c9e47, (q31_t)0x72715eb8,
+  (q31_t)0x72661abf, (q31_t)0x725ad25d,
+  (q31_t)0x724f8593, (q31_t)0x72443460, (q31_t)0x7238dec5, (q31_t)0x722d84c4, (q31_t)0x7222265b, (q31_t)0x7216c38c,
+  (q31_t)0x720b5c57, (q31_t)0x71fff0bc,
+  (q31_t)0x71f480bc, (q31_t)0x71e90c57, (q31_t)0x71dd938f, (q31_t)0x71d21662, (q31_t)0x71c694d2, (q31_t)0x71bb0edf,
+  (q31_t)0x71af848a, (q31_t)0x71a3f5d2,
+  (q31_t)0x719862b9, (q31_t)0x718ccb3f, (q31_t)0x71812f65, (q31_t)0x71758f29, (q31_t)0x7169ea8f, (q31_t)0x715e4194,
+  (q31_t)0x7152943b, (q31_t)0x7146e284,
+  (q31_t)0x713b2c6e, (q31_t)0x712f71fb, (q31_t)0x7123b32b, (q31_t)0x7117effe, (q31_t)0x710c2875, (q31_t)0x71005c90,
+  (q31_t)0x70f48c50, (q31_t)0x70e8b7b5,
+  (q31_t)0x70dcdec0, (q31_t)0x70d10171, (q31_t)0x70c51fc8, (q31_t)0x70b939c7, (q31_t)0x70ad4f6d, (q31_t)0x70a160ba,
+  (q31_t)0x70956db1, (q31_t)0x70897650,
+  (q31_t)0x707d7a98, (q31_t)0x70717a8a, (q31_t)0x70657626, (q31_t)0x70596d6d, (q31_t)0x704d6060, (q31_t)0x70414efd,
+  (q31_t)0x70353947, (q31_t)0x70291f3e,
+  (q31_t)0x701d00e1, (q31_t)0x7010de32, (q31_t)0x7004b731, (q31_t)0x6ff88bde, (q31_t)0x6fec5c3b, (q31_t)0x6fe02846,
+  (q31_t)0x6fd3f001, (q31_t)0x6fc7b36d,
+  (q31_t)0x6fbb728a, (q31_t)0x6faf2d57, (q31_t)0x6fa2e3d7, (q31_t)0x6f969608, (q31_t)0x6f8a43ed, (q31_t)0x6f7ded84,
+  (q31_t)0x6f7192cf, (q31_t)0x6f6533ce,
+  (q31_t)0x6f58d082, (q31_t)0x6f4c68eb, (q31_t)0x6f3ffd09, (q31_t)0x6f338cde, (q31_t)0x6f271868, (q31_t)0x6f1a9faa,
+  (q31_t)0x6f0e22a3, (q31_t)0x6f01a155,
+  (q31_t)0x6ef51bbe, (q31_t)0x6ee891e1, (q31_t)0x6edc03bc, (q31_t)0x6ecf7152, (q31_t)0x6ec2daa2, (q31_t)0x6eb63fad,
+  (q31_t)0x6ea9a073, (q31_t)0x6e9cfcf5,
+  (q31_t)0x6e905534, (q31_t)0x6e83a92f, (q31_t)0x6e76f8e7, (q31_t)0x6e6a445d, (q31_t)0x6e5d8b91, (q31_t)0x6e50ce84,
+  (q31_t)0x6e440d37, (q31_t)0x6e3747a9,
+  (q31_t)0x6e2a7ddb, (q31_t)0x6e1dafce, (q31_t)0x6e10dd82, (q31_t)0x6e0406f8, (q31_t)0x6df72c30, (q31_t)0x6dea4d2b,
+  (q31_t)0x6ddd69e9, (q31_t)0x6dd0826a,
+  (q31_t)0x6dc396b0, (q31_t)0x6db6a6ba, (q31_t)0x6da9b28a, (q31_t)0x6d9cba1f, (q31_t)0x6d8fbd7a, (q31_t)0x6d82bc9d,
+  (q31_t)0x6d75b786, (q31_t)0x6d68ae37,
+  (q31_t)0x6d5ba0b0, (q31_t)0x6d4e8ef2, (q31_t)0x6d4178fd, (q31_t)0x6d345ed1, (q31_t)0x6d274070, (q31_t)0x6d1a1dda,
+  (q31_t)0x6d0cf70f, (q31_t)0x6cffcc0f,
+  (q31_t)0x6cf29cdc, (q31_t)0x6ce56975, (q31_t)0x6cd831dc, (q31_t)0x6ccaf610, (q31_t)0x6cbdb613, (q31_t)0x6cb071e4,
+  (q31_t)0x6ca32985, (q31_t)0x6c95dcf6,
+  (q31_t)0x6c888c36, (q31_t)0x6c7b3748, (q31_t)0x6c6dde2b, (q31_t)0x6c6080e0, (q31_t)0x6c531f67, (q31_t)0x6c45b9c1,
+  (q31_t)0x6c384fef, (q31_t)0x6c2ae1f0,
+  (q31_t)0x6c1d6fc6, (q31_t)0x6c0ff971, (q31_t)0x6c027ef1, (q31_t)0x6bf50047, (q31_t)0x6be77d74, (q31_t)0x6bd9f677,
+  (q31_t)0x6bcc6b53, (q31_t)0x6bbedc06,
+  (q31_t)0x6bb14892, (q31_t)0x6ba3b0f7, (q31_t)0x6b961536, (q31_t)0x6b88754f, (q31_t)0x6b7ad142, (q31_t)0x6b6d2911,
+  (q31_t)0x6b5f7cbc, (q31_t)0x6b51cc42,
+  (q31_t)0x6b4417a6, (q31_t)0x6b365ee7, (q31_t)0x6b28a206, (q31_t)0x6b1ae103, (q31_t)0x6b0d1bdf, (q31_t)0x6aff529a,
+  (q31_t)0x6af18536, (q31_t)0x6ae3b3b2,
+  (q31_t)0x6ad5de0f, (q31_t)0x6ac8044e, (q31_t)0x6aba266e, (q31_t)0x6aac4472, (q31_t)0x6a9e5e58, (q31_t)0x6a907423,
+  (q31_t)0x6a8285d1, (q31_t)0x6a749365,
+  (q31_t)0x6a669cdd, (q31_t)0x6a58a23c, (q31_t)0x6a4aa381, (q31_t)0x6a3ca0ad, (q31_t)0x6a2e99c0, (q31_t)0x6a208ebb,
+  (q31_t)0x6a127f9f, (q31_t)0x6a046c6c,
+  (q31_t)0x69f65523, (q31_t)0x69e839c4, (q31_t)0x69da1a50, (q31_t)0x69cbf6c7, (q31_t)0x69bdcf29, (q31_t)0x69afa378,
+  (q31_t)0x69a173b5, (q31_t)0x69933fde,
+  (q31_t)0x698507f6, (q31_t)0x6976cbfc, (q31_t)0x69688bf1, (q31_t)0x695a47d6, (q31_t)0x694bffab, (q31_t)0x693db371,
+  (q31_t)0x692f6328, (q31_t)0x69210ed1,
+  (q31_t)0x6912b66c, (q31_t)0x690459fb, (q31_t)0x68f5f97d, (q31_t)0x68e794f3, (q31_t)0x68d92c5d, (q31_t)0x68cabfbd,
+  (q31_t)0x68bc4f13, (q31_t)0x68adda5f,
+  (q31_t)0x689f61a1, (q31_t)0x6890e4dc, (q31_t)0x6882640e, (q31_t)0x6873df38, (q31_t)0x6865565c, (q31_t)0x6856c979,
+  (q31_t)0x68483891, (q31_t)0x6839a3a4,
+  (q31_t)0x682b0ab1, (q31_t)0x681c6dbb, (q31_t)0x680dccc1, (q31_t)0x67ff27c4, (q31_t)0x67f07ec5, (q31_t)0x67e1d1c4,
+  (q31_t)0x67d320c1, (q31_t)0x67c46bbe,
+  (q31_t)0x67b5b2bb, (q31_t)0x67a6f5b8, (q31_t)0x679834b6, (q31_t)0x67896fb6, (q31_t)0x677aa6b8, (q31_t)0x676bd9bd,
+  (q31_t)0x675d08c4, (q31_t)0x674e33d0,
+  (q31_t)0x673f5ae0, (q31_t)0x67307df5, (q31_t)0x67219d10, (q31_t)0x6712b831, (q31_t)0x6703cf58, (q31_t)0x66f4e287,
+  (q31_t)0x66e5f1be, (q31_t)0x66d6fcfd,
+  (q31_t)0x66c80445, (q31_t)0x66b90797, (q31_t)0x66aa06f3, (q31_t)0x669b0259, (q31_t)0x668bf9cb, (q31_t)0x667ced49,
+  (q31_t)0x666ddcd3, (q31_t)0x665ec86b,
+  (q31_t)0x664fb010, (q31_t)0x664093c3, (q31_t)0x66317385, (q31_t)0x66224f56, (q31_t)0x66132738, (q31_t)0x6603fb2a,
+  (q31_t)0x65f4cb2d, (q31_t)0x65e59742,
+  (q31_t)0x65d65f69, (q31_t)0x65c723a3, (q31_t)0x65b7e3f1, (q31_t)0x65a8a052, (q31_t)0x659958c9, (q31_t)0x658a0d54,
+  (q31_t)0x657abdf6, (q31_t)0x656b6aae,
+  (q31_t)0x655c137d, (q31_t)0x654cb863, (q31_t)0x653d5962, (q31_t)0x652df679, (q31_t)0x651e8faa, (q31_t)0x650f24f5,
+  (q31_t)0x64ffb65b, (q31_t)0x64f043dc,
+  (q31_t)0x64e0cd78, (q31_t)0x64d15331, (q31_t)0x64c1d507, (q31_t)0x64b252fa, (q31_t)0x64a2cd0c, (q31_t)0x6493433c,
+  (q31_t)0x6483b58c, (q31_t)0x647423fb,
+  (q31_t)0x64648e8c, (q31_t)0x6454f53d, (q31_t)0x64455810, (q31_t)0x6435b706, (q31_t)0x6426121e, (q31_t)0x6416695a,
+  (q31_t)0x6406bcba, (q31_t)0x63f70c3f,
+  (q31_t)0x63e757ea, (q31_t)0x63d79fba, (q31_t)0x63c7e3b1, (q31_t)0x63b823cf, (q31_t)0x63a86015, (q31_t)0x63989884,
+  (q31_t)0x6388cd1b, (q31_t)0x6378fddc,
+  (q31_t)0x63692ac7, (q31_t)0x635953dd, (q31_t)0x6349791f, (q31_t)0x63399a8d, (q31_t)0x6329b827, (q31_t)0x6319d1ef,
+  (q31_t)0x6309e7e4, (q31_t)0x62f9fa09,
+  (q31_t)0x62ea085c, (q31_t)0x62da12df, (q31_t)0x62ca1992, (q31_t)0x62ba1c77, (q31_t)0x62aa1b8d, (q31_t)0x629a16d5,
+  (q31_t)0x628a0e50, (q31_t)0x627a01fe,
+  (q31_t)0x6269f1e1, (q31_t)0x6259ddf8, (q31_t)0x6249c645, (q31_t)0x6239aac7, (q31_t)0x62298b81, (q31_t)0x62196871,
+  (q31_t)0x62094199, (q31_t)0x61f916f9,
+  (q31_t)0x61e8e893, (q31_t)0x61d8b666, (q31_t)0x61c88074, (q31_t)0x61b846bc, (q31_t)0x61a80940, (q31_t)0x6197c800,
+  (q31_t)0x618782fd, (q31_t)0x61773a37,
+  (q31_t)0x6166edb0, (q31_t)0x61569d67, (q31_t)0x6146495d, (q31_t)0x6135f193, (q31_t)0x6125960a, (q31_t)0x611536c2,
+  (q31_t)0x6104d3bc, (q31_t)0x60f46cf9,
+  (q31_t)0x60e40278, (q31_t)0x60d3943b, (q31_t)0x60c32243, (q31_t)0x60b2ac8f, (q31_t)0x60a23322, (q31_t)0x6091b5fa,
+  (q31_t)0x60813519, (q31_t)0x6070b080,
+  (q31_t)0x6060282f, (q31_t)0x604f9c27, (q31_t)0x603f0c69, (q31_t)0x602e78f4, (q31_t)0x601de1ca, (q31_t)0x600d46ec,
+  (q31_t)0x5ffca859, (q31_t)0x5fec0613,
+  (q31_t)0x5fdb601b, (q31_t)0x5fcab670, (q31_t)0x5fba0914, (q31_t)0x5fa95807, (q31_t)0x5f98a34a, (q31_t)0x5f87eade,
+  (q31_t)0x5f772ec2, (q31_t)0x5f666ef9,
+  (q31_t)0x5f55ab82, (q31_t)0x5f44e45e, (q31_t)0x5f34198e, (q31_t)0x5f234b12, (q31_t)0x5f1278eb, (q31_t)0x5f01a31a,
+  (q31_t)0x5ef0c99f, (q31_t)0x5edfec7b,
+  (q31_t)0x5ecf0baf, (q31_t)0x5ebe273b, (q31_t)0x5ead3f1f, (q31_t)0x5e9c535e, (q31_t)0x5e8b63f7, (q31_t)0x5e7a70ea,
+  (q31_t)0x5e697a39, (q31_t)0x5e587fe5,
+  (q31_t)0x5e4781ed, (q31_t)0x5e368053, (q31_t)0x5e257b17, (q31_t)0x5e147239, (q31_t)0x5e0365bb, (q31_t)0x5df2559e,
+  (q31_t)0x5de141e1, (q31_t)0x5dd02a85,
+  (q31_t)0x5dbf0f8c, (q31_t)0x5dadf0f5, (q31_t)0x5d9ccec2, (q31_t)0x5d8ba8f3, (q31_t)0x5d7a7f88, (q31_t)0x5d695283,
+  (q31_t)0x5d5821e4, (q31_t)0x5d46edac,
+  (q31_t)0x5d35b5db, (q31_t)0x5d247a72, (q31_t)0x5d133b72, (q31_t)0x5d01f8dc, (q31_t)0x5cf0b2af, (q31_t)0x5cdf68ed,
+  (q31_t)0x5cce1b97, (q31_t)0x5cbccaac,
+  (q31_t)0x5cab762f, (q31_t)0x5c9a1e1e, (q31_t)0x5c88c27c, (q31_t)0x5c776348, (q31_t)0x5c660084, (q31_t)0x5c549a30,
+  (q31_t)0x5c43304d, (q31_t)0x5c31c2db,
+  (q31_t)0x5c2051db, (q31_t)0x5c0edd4e, (q31_t)0x5bfd6534, (q31_t)0x5bebe98e, (q31_t)0x5bda6a5d, (q31_t)0x5bc8e7a2,
+  (q31_t)0x5bb7615d, (q31_t)0x5ba5d78e,
+  (q31_t)0x5b944a37, (q31_t)0x5b82b958, (q31_t)0x5b7124f2, (q31_t)0x5b5f8d06, (q31_t)0x5b4df193, (q31_t)0x5b3c529c,
+  (q31_t)0x5b2ab020, (q31_t)0x5b190a20,
+  (q31_t)0x5b07609d, (q31_t)0x5af5b398, (q31_t)0x5ae40311, (q31_t)0x5ad24f09, (q31_t)0x5ac09781, (q31_t)0x5aaedc78,
+  (q31_t)0x5a9d1df1, (q31_t)0x5a8b5bec,
+  (q31_t)0x5a799669, (q31_t)0x5a67cd69, (q31_t)0x5a5600ec, (q31_t)0x5a4430f5, (q31_t)0x5a325d82, (q31_t)0x5a208695,
+  (q31_t)0x5a0eac2e, (q31_t)0x59fcce4f,
+  (q31_t)0x59eaecf8, (q31_t)0x59d90829, (q31_t)0x59c71fe3, (q31_t)0x59b53427, (q31_t)0x59a344f6, (q31_t)0x59915250,
+  (q31_t)0x597f5c36, (q31_t)0x596d62a9,
+  (q31_t)0x595b65aa, (q31_t)0x59496538, (q31_t)0x59376155, (q31_t)0x59255a02, (q31_t)0x59134f3e, (q31_t)0x5901410c,
+  (q31_t)0x58ef2f6b, (q31_t)0x58dd1a5d,
+  (q31_t)0x58cb01e1, (q31_t)0x58b8e5f9, (q31_t)0x58a6c6a5, (q31_t)0x5894a3e7, (q31_t)0x58827dbe, (q31_t)0x5870542c,
+  (q31_t)0x585e2730, (q31_t)0x584bf6cd,
+  (q31_t)0x5839c302, (q31_t)0x58278bd1, (q31_t)0x58155139, (q31_t)0x5803133c, (q31_t)0x57f0d1da, (q31_t)0x57de8d15,
+  (q31_t)0x57cc44ec, (q31_t)0x57b9f960,
+  (q31_t)0x57a7aa73, (q31_t)0x57955825, (q31_t)0x57830276, (q31_t)0x5770a968, (q31_t)0x575e4cfa, (q31_t)0x574bed2f,
+  (q31_t)0x57398a05, (q31_t)0x5727237f,
+  (q31_t)0x5714b99d, (q31_t)0x57024c5f, (q31_t)0x56efdbc7, (q31_t)0x56dd67d4, (q31_t)0x56caf088, (q31_t)0x56b875e4,
+  (q31_t)0x56a5f7e7, (q31_t)0x56937694,
+  (q31_t)0x5680f1ea, (q31_t)0x566e69ea, (q31_t)0x565bde95, (q31_t)0x56494fec, (q31_t)0x5636bdef, (q31_t)0x5624289f,
+  (q31_t)0x56118ffe, (q31_t)0x55fef40a,
+  (q31_t)0x55ec54c6, (q31_t)0x55d9b232, (q31_t)0x55c70c4f, (q31_t)0x55b4631d, (q31_t)0x55a1b69d, (q31_t)0x558f06d0,
+  (q31_t)0x557c53b6, (q31_t)0x55699d51,
+  (q31_t)0x5556e3a1, (q31_t)0x554426a7, (q31_t)0x55316663, (q31_t)0x551ea2d6, (q31_t)0x550bdc01, (q31_t)0x54f911e5,
+  (q31_t)0x54e64482, (q31_t)0x54d373d9,
+  (q31_t)0x54c09feb, (q31_t)0x54adc8b8, (q31_t)0x549aee42, (q31_t)0x54881089, (q31_t)0x54752f8d, (q31_t)0x54624b50,
+  (q31_t)0x544f63d2, (q31_t)0x543c7914,
+  (q31_t)0x54298b17, (q31_t)0x541699db, (q31_t)0x5403a561, (q31_t)0x53f0adaa, (q31_t)0x53ddb2b6, (q31_t)0x53cab486,
+  (q31_t)0x53b7b31c, (q31_t)0x53a4ae77,
+  (q31_t)0x5391a699, (q31_t)0x537e9b82, (q31_t)0x536b8d33, (q31_t)0x53587bad, (q31_t)0x534566f0, (q31_t)0x53324efd,
+  (q31_t)0x531f33d5, (q31_t)0x530c1579,
+  (q31_t)0x52f8f3e9, (q31_t)0x52e5cf27, (q31_t)0x52d2a732, (q31_t)0x52bf7c0b, (q31_t)0x52ac4db4, (q31_t)0x52991c2d,
+  (q31_t)0x5285e777, (q31_t)0x5272af92,
+  (q31_t)0x525f7480, (q31_t)0x524c3640, (q31_t)0x5238f4d4, (q31_t)0x5225b03d, (q31_t)0x5212687b, (q31_t)0x51ff1d8f,
+  (q31_t)0x51ebcf7a, (q31_t)0x51d87e3c,
+  (q31_t)0x51c529d7, (q31_t)0x51b1d24a, (q31_t)0x519e7797, (q31_t)0x518b19bf, (q31_t)0x5177b8c2, (q31_t)0x516454a0,
+  (q31_t)0x5150ed5c, (q31_t)0x513d82f4,
+  (q31_t)0x512a156b, (q31_t)0x5116a4c1, (q31_t)0x510330f7, (q31_t)0x50efba0d, (q31_t)0x50dc4005, (q31_t)0x50c8c2de,
+  (q31_t)0x50b5429a, (q31_t)0x50a1bf39,
+  (q31_t)0x508e38bd, (q31_t)0x507aaf25, (q31_t)0x50672273, (q31_t)0x505392a8, (q31_t)0x503fffc4, (q31_t)0x502c69c8,
+  (q31_t)0x5018d0b4, (q31_t)0x5005348a,
+  (q31_t)0x4ff1954b, (q31_t)0x4fddf2f6, (q31_t)0x4fca4d8d, (q31_t)0x4fb6a510, (q31_t)0x4fa2f981, (q31_t)0x4f8f4ae0,
+  (q31_t)0x4f7b992d, (q31_t)0x4f67e46a,
+  (q31_t)0x4f542c98, (q31_t)0x4f4071b6, (q31_t)0x4f2cb3c7, (q31_t)0x4f18f2c9, (q31_t)0x4f052ec0, (q31_t)0x4ef167aa,
+  (q31_t)0x4edd9d89, (q31_t)0x4ec9d05e,
+  (q31_t)0x4eb60029, (q31_t)0x4ea22ceb, (q31_t)0x4e8e56a5, (q31_t)0x4e7a7d58, (q31_t)0x4e66a105, (q31_t)0x4e52c1ab,
+  (q31_t)0x4e3edf4d, (q31_t)0x4e2af9ea,
+  (q31_t)0x4e171184, (q31_t)0x4e03261b, (q31_t)0x4def37b0, (q31_t)0x4ddb4644, (q31_t)0x4dc751d8, (q31_t)0x4db35a6c,
+  (q31_t)0x4d9f6001, (q31_t)0x4d8b6298,
+  (q31_t)0x4d776231, (q31_t)0x4d635ece, (q31_t)0x4d4f5870, (q31_t)0x4d3b4f16, (q31_t)0x4d2742c2, (q31_t)0x4d133374,
+  (q31_t)0x4cff212e, (q31_t)0x4ceb0bf0,
+  (q31_t)0x4cd6f3bb, (q31_t)0x4cc2d88f, (q31_t)0x4caeba6e, (q31_t)0x4c9a9958, (q31_t)0x4c86754e, (q31_t)0x4c724e50,
+  (q31_t)0x4c5e2460, (q31_t)0x4c49f77f,
+  (q31_t)0x4c35c7ac, (q31_t)0x4c2194e9, (q31_t)0x4c0d5f37, (q31_t)0x4bf92697, (q31_t)0x4be4eb08, (q31_t)0x4bd0ac8d,
+  (q31_t)0x4bbc6b25, (q31_t)0x4ba826d1,
+  (q31_t)0x4b93df93, (q31_t)0x4b7f956b, (q31_t)0x4b6b485a, (q31_t)0x4b56f861, (q31_t)0x4b42a580, (q31_t)0x4b2e4fb8,
+  (q31_t)0x4b19f70a, (q31_t)0x4b059b77,
+  (q31_t)0x4af13d00, (q31_t)0x4adcdba5, (q31_t)0x4ac87767, (q31_t)0x4ab41046, (q31_t)0x4a9fa645, (q31_t)0x4a8b3963,
+  (q31_t)0x4a76c9a2, (q31_t)0x4a625701,
+  (q31_t)0x4a4de182, (q31_t)0x4a396926, (q31_t)0x4a24edee, (q31_t)0x4a106fda, (q31_t)0x49fbeeea, (q31_t)0x49e76b21,
+  (q31_t)0x49d2e47e, (q31_t)0x49be5b02,
+  (q31_t)0x49a9ceaf, (q31_t)0x49953f84, (q31_t)0x4980ad84, (q31_t)0x496c18ae, (q31_t)0x49578103, (q31_t)0x4942e684,
+  (q31_t)0x492e4933, (q31_t)0x4919a90f,
+  (q31_t)0x4905061a, (q31_t)0x48f06054, (q31_t)0x48dbb7be, (q31_t)0x48c70c59, (q31_t)0x48b25e25, (q31_t)0x489dad25,
+  (q31_t)0x4888f957, (q31_t)0x487442be,
+  (q31_t)0x485f8959, (q31_t)0x484acd2a, (q31_t)0x48360e32, (q31_t)0x48214c71, (q31_t)0x480c87e8, (q31_t)0x47f7c099,
+  (q31_t)0x47e2f682, (q31_t)0x47ce29a7,
+  (q31_t)0x47b95a06, (q31_t)0x47a487a2, (q31_t)0x478fb27b, (q31_t)0x477ada91, (q31_t)0x4765ffe6, (q31_t)0x4751227a,
+  (q31_t)0x473c424e, (q31_t)0x47275f63,
+  (q31_t)0x471279ba, (q31_t)0x46fd9154, (q31_t)0x46e8a631, (q31_t)0x46d3b852, (q31_t)0x46bec7b8, (q31_t)0x46a9d464,
+  (q31_t)0x4694de56, (q31_t)0x467fe590,
+  (q31_t)0x466aea12, (q31_t)0x4655ebdd, (q31_t)0x4640eaf2, (q31_t)0x462be751, (q31_t)0x4616e0fc, (q31_t)0x4601d7f3,
+  (q31_t)0x45eccc37, (q31_t)0x45d7bdc9,
+  (q31_t)0x45c2acaa, (q31_t)0x45ad98da, (q31_t)0x4598825a, (q31_t)0x4583692c, (q31_t)0x456e4d4f, (q31_t)0x45592ec6,
+  (q31_t)0x45440d90, (q31_t)0x452ee9ae,
+  (q31_t)0x4519c321, (q31_t)0x450499eb, (q31_t)0x44ef6e0b, (q31_t)0x44da3f83, (q31_t)0x44c50e53, (q31_t)0x44afda7d,
+  (q31_t)0x449aa400, (q31_t)0x44856adf,
+  (q31_t)0x44702f19, (q31_t)0x445af0b0, (q31_t)0x4445afa4, (q31_t)0x44306bf6, (q31_t)0x441b25a8, (q31_t)0x4405dcb9,
+  (q31_t)0x43f0912b, (q31_t)0x43db42fe,
+  (q31_t)0x43c5f234, (q31_t)0x43b09ecc, (q31_t)0x439b48c9, (q31_t)0x4385f02a, (q31_t)0x437094f1, (q31_t)0x435b371f,
+  (q31_t)0x4345d6b3, (q31_t)0x433073b0,
+  (q31_t)0x431b0e15, (q31_t)0x4305a5e5, (q31_t)0x42f03b1e, (q31_t)0x42dacdc3, (q31_t)0x42c55dd4, (q31_t)0x42afeb53,
+  (q31_t)0x429a763f, (q31_t)0x4284fe99,
+  (q31_t)0x426f8463, (q31_t)0x425a079e, (q31_t)0x42448849, (q31_t)0x422f0667, (q31_t)0x421981f7, (q31_t)0x4203fafb,
+  (q31_t)0x41ee7174, (q31_t)0x41d8e561,
+  (q31_t)0x41c356c5, (q31_t)0x41adc5a0, (q31_t)0x419831f3, (q31_t)0x41829bbe, (q31_t)0x416d0302, (q31_t)0x415767c1,
+  (q31_t)0x4141c9fb, (q31_t)0x412c29b1,
+  (q31_t)0x411686e4, (q31_t)0x4100e194, (q31_t)0x40eb39c3, (q31_t)0x40d58f71, (q31_t)0x40bfe29f, (q31_t)0x40aa334e,
+  (q31_t)0x4094817f, (q31_t)0x407ecd32,
+  (q31_t)0x40691669, (q31_t)0x40535d24, (q31_t)0x403da165, (q31_t)0x4027e32b, (q31_t)0x40122278, (q31_t)0x3ffc5f4d,
+  (q31_t)0x3fe699aa, (q31_t)0x3fd0d191,
+  (q31_t)0x3fbb0702, (q31_t)0x3fa539fd, (q31_t)0x3f8f6a85, (q31_t)0x3f799899, (q31_t)0x3f63c43b, (q31_t)0x3f4ded6b,
+  (q31_t)0x3f38142a, (q31_t)0x3f22387a,
+  (q31_t)0x3f0c5a5a, (q31_t)0x3ef679cc, (q31_t)0x3ee096d1, (q31_t)0x3ecab169, (q31_t)0x3eb4c995, (q31_t)0x3e9edf57,
+  (q31_t)0x3e88f2ae, (q31_t)0x3e73039d,
+  (q31_t)0x3e5d1222, (q31_t)0x3e471e41, (q31_t)0x3e3127f9, (q31_t)0x3e1b2f4a, (q31_t)0x3e053437, (q31_t)0x3def36c0,
+  (q31_t)0x3dd936e6, (q31_t)0x3dc334a9,
+  (q31_t)0x3dad300b, (q31_t)0x3d97290b, (q31_t)0x3d811fac, (q31_t)0x3d6b13ee, (q31_t)0x3d5505d2, (q31_t)0x3d3ef559,
+  (q31_t)0x3d28e282, (q31_t)0x3d12cd51,
+  (q31_t)0x3cfcb5c4, (q31_t)0x3ce69bde, (q31_t)0x3cd07f9f, (q31_t)0x3cba6107, (q31_t)0x3ca44018, (q31_t)0x3c8e1cd3,
+  (q31_t)0x3c77f737, (q31_t)0x3c61cf48,
+  (q31_t)0x3c4ba504, (q31_t)0x3c35786d, (q31_t)0x3c1f4983, (q31_t)0x3c091849, (q31_t)0x3bf2e4be, (q31_t)0x3bdcaee3,
+  (q31_t)0x3bc676b9, (q31_t)0x3bb03c42,
+  (q31_t)0x3b99ff7d, (q31_t)0x3b83c06c, (q31_t)0x3b6d7f10, (q31_t)0x3b573b69, (q31_t)0x3b40f579, (q31_t)0x3b2aad3f,
+  (q31_t)0x3b1462be, (q31_t)0x3afe15f6,
+  (q31_t)0x3ae7c6e7, (q31_t)0x3ad17593, (q31_t)0x3abb21fb, (q31_t)0x3aa4cc1e, (q31_t)0x3a8e7400, (q31_t)0x3a78199f,
+  (q31_t)0x3a61bcfd, (q31_t)0x3a4b5e1b,
+  (q31_t)0x3a34fcf9, (q31_t)0x3a1e9999, (q31_t)0x3a0833fc, (q31_t)0x39f1cc21, (q31_t)0x39db620b, (q31_t)0x39c4f5ba,
+  (q31_t)0x39ae872f, (q31_t)0x3998166a,
+  (q31_t)0x3981a36d, (q31_t)0x396b2e38, (q31_t)0x3954b6cd, (q31_t)0x393e3d2c, (q31_t)0x3927c155, (q31_t)0x3911434b,
+  (q31_t)0x38fac30e, (q31_t)0x38e4409e,
+  (q31_t)0x38cdbbfc, (q31_t)0x38b7352a, (q31_t)0x38a0ac29, (q31_t)0x388a20f8, (q31_t)0x38739399, (q31_t)0x385d040d,
+  (q31_t)0x38467255, (q31_t)0x382fde72,
+  (q31_t)0x38194864, (q31_t)0x3802b02c, (q31_t)0x37ec15cb, (q31_t)0x37d57943, (q31_t)0x37beda93, (q31_t)0x37a839be,
+  (q31_t)0x379196c3, (q31_t)0x377af1a3,
+  (q31_t)0x37644a60, (q31_t)0x374da0fa, (q31_t)0x3736f573, (q31_t)0x372047ca, (q31_t)0x37099802, (q31_t)0x36f2e61a,
+  (q31_t)0x36dc3214, (q31_t)0x36c57bf0,
+  (q31_t)0x36aec3b0, (q31_t)0x36980954, (q31_t)0x36814cde, (q31_t)0x366a8e4d, (q31_t)0x3653cda3, (q31_t)0x363d0ae2,
+  (q31_t)0x36264609, (q31_t)0x360f7f19,
+  (q31_t)0x35f8b614, (q31_t)0x35e1eafa, (q31_t)0x35cb1dcc, (q31_t)0x35b44e8c, (q31_t)0x359d7d39, (q31_t)0x3586a9d5,
+  (q31_t)0x356fd461, (q31_t)0x3558fcde,
+  (q31_t)0x3542234c, (q31_t)0x352b47ad, (q31_t)0x35146a00, (q31_t)0x34fd8a48, (q31_t)0x34e6a885, (q31_t)0x34cfc4b7,
+  (q31_t)0x34b8dee1, (q31_t)0x34a1f702,
+  (q31_t)0x348b0d1c, (q31_t)0x3474212f, (q31_t)0x345d333c, (q31_t)0x34464345, (q31_t)0x342f5149, (q31_t)0x34185d4b,
+  (q31_t)0x3401674a, (q31_t)0x33ea6f48,
+  (q31_t)0x33d37546, (q31_t)0x33bc7944, (q31_t)0x33a57b44, (q31_t)0x338e7b46, (q31_t)0x3377794b, (q31_t)0x33607554,
+  (q31_t)0x33496f62, (q31_t)0x33326776,
+  (q31_t)0x331b5d91, (q31_t)0x330451b3, (q31_t)0x32ed43de, (q31_t)0x32d63412, (q31_t)0x32bf2250, (q31_t)0x32a80e99,
+  (q31_t)0x3290f8ef, (q31_t)0x3279e151,
+  (q31_t)0x3262c7c1, (q31_t)0x324bac40, (q31_t)0x32348ecf, (q31_t)0x321d6f6e, (q31_t)0x32064e1e, (q31_t)0x31ef2ae1,
+  (q31_t)0x31d805b7, (q31_t)0x31c0dea1,
+  (q31_t)0x31a9b5a0, (q31_t)0x31928ab4, (q31_t)0x317b5de0, (q31_t)0x31642f23, (q31_t)0x314cfe7f, (q31_t)0x3135cbf4,
+  (q31_t)0x311e9783, (q31_t)0x3107612e,
+  (q31_t)0x30f028f4, (q31_t)0x30d8eed8, (q31_t)0x30c1b2da, (q31_t)0x30aa74fa, (q31_t)0x3093353a, (q31_t)0x307bf39b,
+  (q31_t)0x3064b01d, (q31_t)0x304d6ac1,
+  (q31_t)0x30362389, (q31_t)0x301eda75, (q31_t)0x30078f86, (q31_t)0x2ff042bd, (q31_t)0x2fd8f41b, (q31_t)0x2fc1a3a0,
+  (q31_t)0x2faa514f, (q31_t)0x2f92fd26,
+  (q31_t)0x2f7ba729, (q31_t)0x2f644f56, (q31_t)0x2f4cf5b0, (q31_t)0x2f359a37, (q31_t)0x2f1e3ced, (q31_t)0x2f06ddd1,
+  (q31_t)0x2eef7ce5, (q31_t)0x2ed81a29,
+  (q31_t)0x2ec0b5a0, (q31_t)0x2ea94f49, (q31_t)0x2e91e725, (q31_t)0x2e7a7d36, (q31_t)0x2e63117c, (q31_t)0x2e4ba3f8,
+  (q31_t)0x2e3434ac, (q31_t)0x2e1cc397,
+  (q31_t)0x2e0550bb, (q31_t)0x2deddc19, (q31_t)0x2dd665b2, (q31_t)0x2dbeed86, (q31_t)0x2da77397, (q31_t)0x2d8ff7e5,
+  (q31_t)0x2d787a72, (q31_t)0x2d60fb3e,
+  (q31_t)0x2d497a4a, (q31_t)0x2d31f797, (q31_t)0x2d1a7325, (q31_t)0x2d02ecf7, (q31_t)0x2ceb650d, (q31_t)0x2cd3db67,
+  (q31_t)0x2cbc5006, (q31_t)0x2ca4c2ed,
+  (q31_t)0x2c8d341a, (q31_t)0x2c75a390, (q31_t)0x2c5e114f, (q31_t)0x2c467d58, (q31_t)0x2c2ee7ad, (q31_t)0x2c17504d,
+  (q31_t)0x2bffb73a, (q31_t)0x2be81c74,
+  (q31_t)0x2bd07ffe, (q31_t)0x2bb8e1d7, (q31_t)0x2ba14200, (q31_t)0x2b89a07b, (q31_t)0x2b71fd48, (q31_t)0x2b5a5868,
+  (q31_t)0x2b42b1dd, (q31_t)0x2b2b09a6,
+  (q31_t)0x2b135fc6, (q31_t)0x2afbb43c, (q31_t)0x2ae4070a, (q31_t)0x2acc5831, (q31_t)0x2ab4a7b1, (q31_t)0x2a9cf58c,
+  (q31_t)0x2a8541c3, (q31_t)0x2a6d8c55,
+  (q31_t)0x2a55d545, (q31_t)0x2a3e1c93, (q31_t)0x2a266240, (q31_t)0x2a0ea64d, (q31_t)0x29f6e8bb, (q31_t)0x29df298b,
+  (q31_t)0x29c768be, (q31_t)0x29afa654,
+  (q31_t)0x2997e24f, (q31_t)0x29801caf, (q31_t)0x29685576, (q31_t)0x29508ca4, (q31_t)0x2938c23a, (q31_t)0x2920f63a,
+  (q31_t)0x290928a3, (q31_t)0x28f15978,
+  (q31_t)0x28d988b8, (q31_t)0x28c1b666, (q31_t)0x28a9e281, (q31_t)0x28920d0a, (q31_t)0x287a3604, (q31_t)0x28625d6d,
+  (q31_t)0x284a8349, (q31_t)0x2832a796,
+  (q31_t)0x281aca57, (q31_t)0x2802eb8c, (q31_t)0x27eb0b36, (q31_t)0x27d32956, (q31_t)0x27bb45ed, (q31_t)0x27a360fc,
+  (q31_t)0x278b7a84, (q31_t)0x27739285,
+  (q31_t)0x275ba901, (q31_t)0x2743bdf9, (q31_t)0x272bd16d, (q31_t)0x2713e35f, (q31_t)0x26fbf3ce, (q31_t)0x26e402bd,
+  (q31_t)0x26cc102d, (q31_t)0x26b41c1d,
+  (q31_t)0x269c268f, (q31_t)0x26842f84, (q31_t)0x266c36fe, (q31_t)0x26543cfb, (q31_t)0x263c417f, (q31_t)0x26244489,
+  (q31_t)0x260c461b, (q31_t)0x25f44635,
+  (q31_t)0x25dc44d9, (q31_t)0x25c44207, (q31_t)0x25ac3dc0, (q31_t)0x25943806, (q31_t)0x257c30d8, (q31_t)0x25642839,
+  (q31_t)0x254c1e28, (q31_t)0x253412a8,
+  (q31_t)0x251c05b8, (q31_t)0x2503f75a, (q31_t)0x24ebe78f, (q31_t)0x24d3d657, (q31_t)0x24bbc3b4, (q31_t)0x24a3afa6,
+  (q31_t)0x248b9a2f, (q31_t)0x2473834f,
+  (q31_t)0x245b6b07, (q31_t)0x24435158, (q31_t)0x242b3644, (q31_t)0x241319ca, (q31_t)0x23fafbec, (q31_t)0x23e2dcac,
+  (q31_t)0x23cabc09, (q31_t)0x23b29a05,
+  (q31_t)0x239a76a0, (q31_t)0x238251dd, (q31_t)0x236a2bba, (q31_t)0x2352043b, (q31_t)0x2339db5e, (q31_t)0x2321b126,
+  (q31_t)0x23098593, (q31_t)0x22f158a7,
+  (q31_t)0x22d92a61, (q31_t)0x22c0fac4, (q31_t)0x22a8c9cf, (q31_t)0x22909785, (q31_t)0x227863e5, (q31_t)0x22602ef1,
+  (q31_t)0x2247f8aa, (q31_t)0x222fc111,
+  (q31_t)0x22178826, (q31_t)0x21ff4dea, (q31_t)0x21e71260, (q31_t)0x21ced586, (q31_t)0x21b6975f, (q31_t)0x219e57eb,
+  (q31_t)0x2186172b, (q31_t)0x216dd521,
+  (q31_t)0x215591cc, (q31_t)0x213d4d2f, (q31_t)0x21250749, (q31_t)0x210cc01d, (q31_t)0x20f477aa, (q31_t)0x20dc2df2,
+  (q31_t)0x20c3e2f5, (q31_t)0x20ab96b5,
+  (q31_t)0x20934933, (q31_t)0x207afa6f, (q31_t)0x2062aa6b, (q31_t)0x204a5927, (q31_t)0x203206a4, (q31_t)0x2019b2e4,
+  (q31_t)0x20015de7, (q31_t)0x1fe907ae,
+  (q31_t)0x1fd0b03a, (q31_t)0x1fb8578b, (q31_t)0x1f9ffda4, (q31_t)0x1f87a285, (q31_t)0x1f6f462f, (q31_t)0x1f56e8a2,
+  (q31_t)0x1f3e89e0, (q31_t)0x1f2629ea,
+  (q31_t)0x1f0dc8c0, (q31_t)0x1ef56664, (q31_t)0x1edd02d6, (q31_t)0x1ec49e17, (q31_t)0x1eac3829, (q31_t)0x1e93d10c,
+  (q31_t)0x1e7b68c2, (q31_t)0x1e62ff4a,
+  (q31_t)0x1e4a94a7, (q31_t)0x1e3228d9, (q31_t)0x1e19bbe0, (q31_t)0x1e014dbf, (q31_t)0x1de8de75, (q31_t)0x1dd06e04,
+  (q31_t)0x1db7fc6d, (q31_t)0x1d9f89b1,
+  (q31_t)0x1d8715d0, (q31_t)0x1d6ea0cc, (q31_t)0x1d562aa6, (q31_t)0x1d3db35e, (q31_t)0x1d253af5, (q31_t)0x1d0cc16c,
+  (q31_t)0x1cf446c5, (q31_t)0x1cdbcb00,
+  (q31_t)0x1cc34e1f, (q31_t)0x1caad021, (q31_t)0x1c925109, (q31_t)0x1c79d0d6, (q31_t)0x1c614f8b, (q31_t)0x1c48cd27,
+  (q31_t)0x1c3049ac, (q31_t)0x1c17c51b,
+  (q31_t)0x1bff3f75, (q31_t)0x1be6b8ba, (q31_t)0x1bce30ec, (q31_t)0x1bb5a80c, (q31_t)0x1b9d1e1a, (q31_t)0x1b849317,
+  (q31_t)0x1b6c0705, (q31_t)0x1b5379e5,
+  (q31_t)0x1b3aebb6, (q31_t)0x1b225c7b, (q31_t)0x1b09cc34, (q31_t)0x1af13ae3, (q31_t)0x1ad8a887, (q31_t)0x1ac01522,
+  (q31_t)0x1aa780b6, (q31_t)0x1a8eeb42,
+  (q31_t)0x1a7654c8, (q31_t)0x1a5dbd49, (q31_t)0x1a4524c6, (q31_t)0x1a2c8b3f, (q31_t)0x1a13f0b6, (q31_t)0x19fb552c,
+  (q31_t)0x19e2b8a2, (q31_t)0x19ca1b17,
+  (q31_t)0x19b17c8f, (q31_t)0x1998dd09, (q31_t)0x19803c86, (q31_t)0x19679b07, (q31_t)0x194ef88e, (q31_t)0x1936551b,
+  (q31_t)0x191db0af, (q31_t)0x19050b4b,
+  (q31_t)0x18ec64f0, (q31_t)0x18d3bda0, (q31_t)0x18bb155a, (q31_t)0x18a26c20, (q31_t)0x1889c1f3, (q31_t)0x187116d4,
+  (q31_t)0x18586ac3, (q31_t)0x183fbdc3,
+  (q31_t)0x18270fd3, (q31_t)0x180e60f4, (q31_t)0x17f5b129, (q31_t)0x17dd0070, (q31_t)0x17c44ecd, (q31_t)0x17ab9c3e,
+  (q31_t)0x1792e8c6, (q31_t)0x177a3466,
+  (q31_t)0x17617f1d, (q31_t)0x1748c8ee, (q31_t)0x173011d9, (q31_t)0x171759df, (q31_t)0x16fea102, (q31_t)0x16e5e741,
+  (q31_t)0x16cd2c9f, (q31_t)0x16b4711b,
+  (q31_t)0x169bb4b7, (q31_t)0x1682f774, (q31_t)0x166a3953, (q31_t)0x16517a55, (q31_t)0x1638ba7a, (q31_t)0x161ff9c4,
+  (q31_t)0x16073834, (q31_t)0x15ee75cb,
+  (q31_t)0x15d5b288, (q31_t)0x15bcee6f, (q31_t)0x15a4297f, (q31_t)0x158b63b9, (q31_t)0x15729d1f, (q31_t)0x1559d5b1,
+  (q31_t)0x15410d70, (q31_t)0x1528445d,
+  (q31_t)0x150f7a7a, (q31_t)0x14f6afc7, (q31_t)0x14dde445, (q31_t)0x14c517f4, (q31_t)0x14ac4ad7, (q31_t)0x14937cee,
+  (q31_t)0x147aae3a, (q31_t)0x1461debc,
+  (q31_t)0x14490e74, (q31_t)0x14303d65, (q31_t)0x14176b8e, (q31_t)0x13fe98f1, (q31_t)0x13e5c58e, (q31_t)0x13ccf167,
+  (q31_t)0x13b41c7d, (q31_t)0x139b46d0,
+  (q31_t)0x13827062, (q31_t)0x13699933, (q31_t)0x1350c144, (q31_t)0x1337e897, (q31_t)0x131f0f2c, (q31_t)0x13063505,
+  (q31_t)0x12ed5a21, (q31_t)0x12d47e83,
+  (q31_t)0x12bba22b, (q31_t)0x12a2c51b, (q31_t)0x1289e752, (q31_t)0x127108d2, (q31_t)0x1258299c, (q31_t)0x123f49b2,
+  (q31_t)0x12266913, (q31_t)0x120d87c1,
+  (q31_t)0x11f4a5bd, (q31_t)0x11dbc307, (q31_t)0x11c2dfa2, (q31_t)0x11a9fb8d, (q31_t)0x119116c9, (q31_t)0x11783159,
+  (q31_t)0x115f4b3c, (q31_t)0x11466473,
+  (q31_t)0x112d7d00, (q31_t)0x111494e4, (q31_t)0x10fbac1e, (q31_t)0x10e2c2b2, (q31_t)0x10c9d89e, (q31_t)0x10b0ede5,
+  (q31_t)0x10980287, (q31_t)0x107f1686,
+  (q31_t)0x106629e1, (q31_t)0x104d3c9b, (q31_t)0x10344eb4, (q31_t)0x101b602d, (q31_t)0x10027107, (q31_t)0xfe98143,
+  (q31_t)0xfd090e1, (q31_t)0xfb79fe4,
+  (q31_t)0xf9eae4c, (q31_t)0xf85bc19, (q31_t)0xf6cc94e, (q31_t)0xf53d5ea, (q31_t)0xf3ae1ee, (q31_t)0xf21ed5d, (q31_t)0xf08f836,
+  (q31_t)0xef0027b,
+  (q31_t)0xed70c2c, (q31_t)0xebe154b, (q31_t)0xea51dd8, (q31_t)0xe8c25d5, (q31_t)0xe732d42, (q31_t)0xe5a3421, (q31_t)0xe413a72,
+  (q31_t)0xe284036,
+  (q31_t)0xe0f456f, (q31_t)0xdf64a1c, (q31_t)0xddd4e40, (q31_t)0xdc451dc, (q31_t)0xdab54ef, (q31_t)0xd92577b, (q31_t)0xd795982,
+  (q31_t)0xd605b03,
+  (q31_t)0xd475c00, (q31_t)0xd2e5c7b, (q31_t)0xd155c73, (q31_t)0xcfc5bea, (q31_t)0xce35ae1, (q31_t)0xcca5959, (q31_t)0xcb15752,
+  (q31_t)0xc9854cf,
+  (q31_t)0xc7f51cf, (q31_t)0xc664e53, (q31_t)0xc4d4a5d, (q31_t)0xc3445ee, (q31_t)0xc1b4107, (q31_t)0xc023ba7, (q31_t)0xbe935d2,
+  (q31_t)0xbd02f87,
+  (q31_t)0xbb728c7, (q31_t)0xb9e2193, (q31_t)0xb8519ed, (q31_t)0xb6c11d5, (q31_t)0xb53094d, (q31_t)0xb3a0055, (q31_t)0xb20f6ee,
+  (q31_t)0xb07ed19,
+  (q31_t)0xaeee2d7, (q31_t)0xad5d829, (q31_t)0xabccd11, (q31_t)0xaa3c18e, (q31_t)0xa8ab5a2, (q31_t)0xa71a94f, (q31_t)0xa589c94,
+  (q31_t)0xa3f8f73,
+  (q31_t)0xa2681ed, (q31_t)0xa0d7403, (q31_t)0x9f465b5, (q31_t)0x9db5706, (q31_t)0x9c247f5, (q31_t)0x9a93884, (q31_t)0x99028b3,
+  (q31_t)0x9771884,
+  (q31_t)0x95e07f8, (q31_t)0x944f70f, (q31_t)0x92be5ca, (q31_t)0x912d42c, (q31_t)0x8f9c233, (q31_t)0x8e0afe2, (q31_t)0x8c79d3a,
+  (q31_t)0x8ae8a3a,
+  (q31_t)0x89576e5, (q31_t)0x87c633c, (q31_t)0x8634f3e, (q31_t)0x84a3aee, (q31_t)0x831264c, (q31_t)0x8181159, (q31_t)0x7fefc16,
+  (q31_t)0x7e5e685,
+  (q31_t)0x7ccd0a5, (q31_t)0x7b3ba78, (q31_t)0x79aa400, (q31_t)0x7818d3c, (q31_t)0x768762e, (q31_t)0x74f5ed7, (q31_t)0x7364738,
+  (q31_t)0x71d2f52,
+  (q31_t)0x7041726, (q31_t)0x6eafeb4, (q31_t)0x6d1e5fe, (q31_t)0x6b8cd05, (q31_t)0x69fb3c9, (q31_t)0x6869a4c, (q31_t)0x66d808f,
+  (q31_t)0x6546692,
+  (q31_t)0x63b4c57, (q31_t)0x62231de, (q31_t)0x6091729, (q31_t)0x5effc38, (q31_t)0x5d6e10c, (q31_t)0x5bdc5a7, (q31_t)0x5a4aa09,
+  (q31_t)0x58b8e34,
+  (q31_t)0x5727228, (q31_t)0x55955e6, (q31_t)0x540396f, (q31_t)0x5271cc4, (q31_t)0x50dffe7, (q31_t)0x4f4e2d8, (q31_t)0x4dbc597,
+  (q31_t)0x4c2a827,
+  (q31_t)0x4a98a88, (q31_t)0x4906cbb, (q31_t)0x4774ec1, (q31_t)0x45e309a, (q31_t)0x4451249, (q31_t)0x42bf3cd, (q31_t)0x412d528,
+  (q31_t)0x3f9b65b,
+  (q31_t)0x3e09767, (q31_t)0x3c7784d, (q31_t)0x3ae590d, (q31_t)0x39539a9, (q31_t)0x37c1a22, (q31_t)0x362fa78, (q31_t)0x349daac,
+  (q31_t)0x330bac1,
+  (q31_t)0x3179ab5, (q31_t)0x2fe7a8c, (q31_t)0x2e55a44, (q31_t)0x2cc39e1, (q31_t)0x2b31961, (q31_t)0x299f8c7, (q31_t)0x280d813,
+  (q31_t)0x267b747,
+  (q31_t)0x24e9662, (q31_t)0x2357567, (q31_t)0x21c5457, (q31_t)0x2033331, (q31_t)0x1ea11f7, (q31_t)0x1d0f0ab, (q31_t)0x1b7cf4d,
+  (q31_t)0x19eaddd,
+  (q31_t)0x1858c5e, (q31_t)0x16c6ad0, (q31_t)0x1534934, (q31_t)0x13a278a, (q31_t)0x12105d5, (q31_t)0x107e414, (q31_t)0xeec249,
+  (q31_t)0xd5a075,
+  (q31_t)0xbc7e99, (q31_t)0xa35cb5, (q31_t)0x8a3acb, (q31_t)0x7118dc, (q31_t)0x57f6e9, (q31_t)0x3ed4f2, (q31_t)0x25b2f8,
+  (q31_t)0xc90fe
+};
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192) 
+    const q31_t WeightsQ31_8192[16384] = {
+  (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7fffffd9, (q31_t)0xfff9b781, (q31_t)0x7fffff62, (q31_t)0xfff36f02, (q31_t)0x7ffffe9d, (q31_t)0xffed2684,
+  (q31_t)0x7ffffd88, (q31_t)0xffe6de05, (q31_t)0x7ffffc25, (q31_t)0xffe09586, (q31_t)0x7ffffa73, (q31_t)0xffda4d08, (q31_t)0x7ffff872, (q31_t)0xffd40489,
+  (q31_t)0x7ffff621, (q31_t)0xffcdbc0b, (q31_t)0x7ffff382, (q31_t)0xffc7738c, (q31_t)0x7ffff094, (q31_t)0xffc12b0e, (q31_t)0x7fffed57, (q31_t)0xffbae290,
+  (q31_t)0x7fffe9cb, (q31_t)0xffb49a12, (q31_t)0x7fffe5f0, (q31_t)0xffae5195, (q31_t)0x7fffe1c6, (q31_t)0xffa80917, (q31_t)0x7fffdd4d, (q31_t)0xffa1c09a,
+  (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fffd36f, (q31_t)0xff952fa0, (q31_t)0x7fffce09, (q31_t)0xff8ee724, (q31_t)0x7fffc854, (q31_t)0xff889ea7,
+  (q31_t)0x7fffc251, (q31_t)0xff82562c, (q31_t)0x7fffbbfe, (q31_t)0xff7c0db0, (q31_t)0x7fffb55c, (q31_t)0xff75c535, (q31_t)0x7fffae6c, (q31_t)0xff6f7cba,
+  (q31_t)0x7fffa72c, (q31_t)0xff69343f, (q31_t)0x7fff9f9e, (q31_t)0xff62ebc5, (q31_t)0x7fff97c1, (q31_t)0xff5ca34b, (q31_t)0x7fff8f94, (q31_t)0xff565ad1,
+  (q31_t)0x7fff8719, (q31_t)0xff501258, (q31_t)0x7fff7e4f, (q31_t)0xff49c9df, (q31_t)0x7fff7536, (q31_t)0xff438167, (q31_t)0x7fff6bcd, (q31_t)0xff3d38ef,
+  (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7fff5810, (q31_t)0xff30a801, (q31_t)0x7fff4dbb, (q31_t)0xff2a5f8b, (q31_t)0x7fff4317, (q31_t)0xff241715,
+  (q31_t)0x7fff3824, (q31_t)0xff1dcea0, (q31_t)0x7fff2ce2, (q31_t)0xff17862b, (q31_t)0x7fff2151, (q31_t)0xff113db7, (q31_t)0x7fff1572, (q31_t)0xff0af543,
+  (q31_t)0x7fff0943, (q31_t)0xff04acd0, (q31_t)0x7ffefcc5, (q31_t)0xfefe645e, (q31_t)0x7ffeeff8, (q31_t)0xfef81bec, (q31_t)0x7ffee2dd, (q31_t)0xfef1d37b,
+  (q31_t)0x7ffed572, (q31_t)0xfeeb8b0a, (q31_t)0x7ffec7b9, (q31_t)0xfee5429a, (q31_t)0x7ffeb9b0, (q31_t)0xfedefa2b, (q31_t)0x7ffeab59, (q31_t)0xfed8b1bd,
+  (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, (q31_t)0x7ffe8dbd, (q31_t)0xfecc20e2, (q31_t)0x7ffe7e79, (q31_t)0xfec5d876, (q31_t)0x7ffe6ee5, (q31_t)0xfebf900a,
+  (q31_t)0x7ffe5f03, (q31_t)0xfeb947a0, (q31_t)0x7ffe4ed2, (q31_t)0xfeb2ff36, (q31_t)0x7ffe3e52, (q31_t)0xfeacb6cc, (q31_t)0x7ffe2d83, (q31_t)0xfea66e64,
+  (q31_t)0x7ffe1c65, (q31_t)0xfea025fd, (q31_t)0x7ffe0af8, (q31_t)0xfe99dd96, (q31_t)0x7ffdf93c, (q31_t)0xfe939530, (q31_t)0x7ffde731, (q31_t)0xfe8d4ccb,
+  (q31_t)0x7ffdd4d7, (q31_t)0xfe870467, (q31_t)0x7ffdc22e, (q31_t)0xfe80bc04, (q31_t)0x7ffdaf37, (q31_t)0xfe7a73a2, (q31_t)0x7ffd9bf0, (q31_t)0xfe742b41,
+  (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffd7476, (q31_t)0xfe679a81, (q31_t)0x7ffd6042, (q31_t)0xfe615223, (q31_t)0x7ffd4bc0, (q31_t)0xfe5b09c5,
+  (q31_t)0x7ffd36ee, (q31_t)0xfe54c169, (q31_t)0x7ffd21ce, (q31_t)0xfe4e790d, (q31_t)0x7ffd0c5f, (q31_t)0xfe4830b3, (q31_t)0x7ffcf6a0, (q31_t)0xfe41e85a,
+  (q31_t)0x7ffce093, (q31_t)0xfe3ba002, (q31_t)0x7ffcca37, (q31_t)0xfe3557ab, (q31_t)0x7ffcb38c, (q31_t)0xfe2f0f55, (q31_t)0x7ffc9c92, (q31_t)0xfe28c700,
+  (q31_t)0x7ffc8549, (q31_t)0xfe227eac, (q31_t)0x7ffc6db1, (q31_t)0xfe1c365a, (q31_t)0x7ffc55ca, (q31_t)0xfe15ee09, (q31_t)0x7ffc3d94, (q31_t)0xfe0fa5b8,
+  (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffc0c3b, (q31_t)0xfe03151c, (q31_t)0x7ffbf319, (q31_t)0xfdfccccf, (q31_t)0x7ffbd9a7, (q31_t)0xfdf68484,
+  (q31_t)0x7ffbbfe6, (q31_t)0xfdf03c3a, (q31_t)0x7ffba5d7, (q31_t)0xfde9f3f1, (q31_t)0x7ffb8b78, (q31_t)0xfde3aba9, (q31_t)0x7ffb70cb, (q31_t)0xfddd6363,
+  (q31_t)0x7ffb55ce, (q31_t)0xfdd71b1e, (q31_t)0x7ffb3a83, (q31_t)0xfdd0d2db, (q31_t)0x7ffb1ee9, (q31_t)0xfdca8a99, (q31_t)0x7ffb0300, (q31_t)0xfdc44258,
+  (q31_t)0x7ffae6c7, (q31_t)0xfdbdfa18, (q31_t)0x7ffaca40, (q31_t)0xfdb7b1da, (q31_t)0x7ffaad6a, (q31_t)0xfdb1699e, (q31_t)0x7ffa9045, (q31_t)0xfdab2162,
+  (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ffa550e, (q31_t)0xfd9e90f0, (q31_t)0x7ffa36fc, (q31_t)0xfd9848b9, (q31_t)0x7ffa189c, (q31_t)0xfd920084,
+  (q31_t)0x7ff9f9ec, (q31_t)0xfd8bb850, (q31_t)0x7ff9daed, (q31_t)0xfd85701e, (q31_t)0x7ff9bba0, (q31_t)0xfd7f27ed, (q31_t)0x7ff99c03, (q31_t)0xfd78dfbd,
+  (q31_t)0x7ff97c18, (q31_t)0xfd729790, (q31_t)0x7ff95bdd, (q31_t)0xfd6c4f64, (q31_t)0x7ff93b54, (q31_t)0xfd660739, (q31_t)0x7ff91a7b, (q31_t)0xfd5fbf10,
+  (q31_t)0x7ff8f954, (q31_t)0xfd5976e9, (q31_t)0x7ff8d7de, (q31_t)0xfd532ec3, (q31_t)0x7ff8b619, (q31_t)0xfd4ce69f, (q31_t)0x7ff89405, (q31_t)0xfd469e7c,
+  (q31_t)0x7ff871a2, (q31_t)0xfd40565c, (q31_t)0x7ff84ef0, (q31_t)0xfd3a0e3d, (q31_t)0x7ff82bef, (q31_t)0xfd33c61f, (q31_t)0x7ff8089f, (q31_t)0xfd2d7e04,
+  (q31_t)0x7ff7e500, (q31_t)0xfd2735ea, (q31_t)0x7ff7c113, (q31_t)0xfd20edd2, (q31_t)0x7ff79cd6, (q31_t)0xfd1aa5bc, (q31_t)0x7ff7784a, (q31_t)0xfd145da7,
+  (q31_t)0x7ff75370, (q31_t)0xfd0e1594, (q31_t)0x7ff72e46, (q31_t)0xfd07cd83, (q31_t)0x7ff708ce, (q31_t)0xfd018574, (q31_t)0x7ff6e307, (q31_t)0xfcfb3d67,
+  (q31_t)0x7ff6bcf0, (q31_t)0xfcf4f55c, (q31_t)0x7ff6968b, (q31_t)0xfceead52, (q31_t)0x7ff66fd7, (q31_t)0xfce8654b, (q31_t)0x7ff648d4, (q31_t)0xfce21d45,
+  (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff5f9e1, (q31_t)0xfcd58d3f, (q31_t)0x7ff5d1f1, (q31_t)0xfccf453f, (q31_t)0x7ff5a9b2, (q31_t)0xfcc8fd41,
+  (q31_t)0x7ff58125, (q31_t)0xfcc2b545, (q31_t)0x7ff55848, (q31_t)0xfcbc6d4c, (q31_t)0x7ff52f1d, (q31_t)0xfcb62554, (q31_t)0x7ff505a2, (q31_t)0xfcafdd5e,
+  (q31_t)0x7ff4dbd9, (q31_t)0xfca9956a, (q31_t)0x7ff4b1c0, (q31_t)0xfca34d78, (q31_t)0x7ff48759, (q31_t)0xfc9d0588, (q31_t)0x7ff45ca3, (q31_t)0xfc96bd9b,
+  (q31_t)0x7ff4319d, (q31_t)0xfc9075af, (q31_t)0x7ff40649, (q31_t)0xfc8a2dc6, (q31_t)0x7ff3daa6, (q31_t)0xfc83e5de, (q31_t)0x7ff3aeb4, (q31_t)0xfc7d9df9,
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+  (q31_t)0x7feeffe1, (q31_t)0xfbe09b80, (q31_t)0x7feecbec, (q31_t)0xfbda53d8, (q31_t)0x7fee97a7, (q31_t)0xfbd40c33, (q31_t)0x7fee6313, (q31_t)0xfbcdc490,
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+  (q31_t)0x7feb9b85, (q31_t)0xfb7c223d, (q31_t)0x7feb62a1, (q31_t)0xfb75dac0, (q31_t)0x7feb296d, (q31_t)0xfb6f9345, (q31_t)0x7feaefeb, (q31_t)0xfb694bce,
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+  (q31_t)0x7fe7e841, (q31_t)0xfb17abc2, (q31_t)0x7fe7aa6e, (q31_t)0xfb116474, (q31_t)0x7fe76c4c, (q31_t)0xfb0b1d28, (q31_t)0x7fe72ddb, (q31_t)0xfb04d5e0,
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+  (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe5b0be, (q31_t)0xfadf2a6e, (q31_t)0x7fe57025, (q31_t)0xfad8e33c, (q31_t)0x7fe52f3d, (q31_t)0xfad29c0c,
+  (q31_t)0x7fe4ee06, (q31_t)0xfacc54e0, (q31_t)0x7fe4ac81, (q31_t)0xfac60db7, (q31_t)0x7fe46aac, (q31_t)0xfabfc691, (q31_t)0x7fe42889, (q31_t)0xfab97f6e,
+  (q31_t)0x7fe3e616, (q31_t)0xfab3384f, (q31_t)0x7fe3a355, (q31_t)0xfaacf133, (q31_t)0x7fe36045, (q31_t)0xfaa6aa1a, (q31_t)0x7fe31ce6, (q31_t)0xfaa06305,
+  (q31_t)0x7fe2d938, (q31_t)0xfa9a1bf3, (q31_t)0x7fe2953b, (q31_t)0xfa93d4e4, (q31_t)0x7fe250ef, (q31_t)0xfa8d8dd8, (q31_t)0x7fe20c55, (q31_t)0xfa8746d0,
+  (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fe18233, (q31_t)0xfa7ab8ca, (q31_t)0x7fe13cac, (q31_t)0xfa7471cc, (q31_t)0x7fe0f6d6, (q31_t)0xfa6e2ad1,
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+  (q31_t)0x7fdf9508, (q31_t)0xfa4ec821, (q31_t)0x7fdf4d59, (q31_t)0xfa48813b, (q31_t)0x7fdf055a, (q31_t)0xfa423a59, (q31_t)0x7fdebd0d, (q31_t)0xfa3bf37a,
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+  (q31_t)0x7fdc247a, (q31_t)0xfa037648, (q31_t)0x7fdbd918, (q31_t)0xf9fd2f8e, (q31_t)0x7fdb8d67, (q31_t)0xf9f6e8d7, (q31_t)0x7fdb4167, (q31_t)0xf9f0a224,
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+  (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fcdb34f, (q31_t)0xf8e916b2, (q31_t)0x7fcd5a11, (q31_t)0xf8e2d0ae, (q31_t)0x7fcd0083, (q31_t)0xf8dc8aae,
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+  (q31_t)0x7fc9ccb2, (q31_t)0xf8a41574, (q31_t)0x7fc97011, (q31_t)0xf89dcfa1, (q31_t)0x7fc91320, (q31_t)0xf89789d2, (q31_t)0x7fc8b5e1, (q31_t)0xf8914407,
+  (q31_t)0x7fc85854, (q31_t)0xf88afe42, (q31_t)0x7fc7fa77, (q31_t)0xf884b880, (q31_t)0x7fc79c4b, (q31_t)0xf87e72c4, (q31_t)0x7fc73dd1, (q31_t)0xf8782d0c,
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+  (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fc1f2cc, (q31_t)0xf8205eec, (q31_t)0x7fc18fb4, (q31_t)0xf81a197b, (q31_t)0x7fc12c4d, (q31_t)0xf813d410,
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+  (q31_t)0x7fbd9fd0, (q31_t)0xf7db6423, (q31_t)0x7fbd3955, (q31_t)0xf7d51ee9, (q31_t)0x7fbcd28b, (q31_t)0xf7ced9b4, (q31_t)0x7fbc6b72, (q31_t)0xf7c89484,
+  (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fbb9c53, (q31_t)0xf7bc0a33, (q31_t)0x7fbb344e, (q31_t)0xf7b5c512, (q31_t)0x7fbacbfa, (q31_t)0xf7af7ff6,
+  (q31_t)0x7fba6357, (q31_t)0xf7a93ae0, (q31_t)0x7fb9fa65, (q31_t)0xf7a2f5ce, (q31_t)0x7fb99125, (q31_t)0xf79cb0c2, (q31_t)0x7fb92796, (q31_t)0xf7966bbb,
+  (q31_t)0x7fb8bdb8, (q31_t)0xf79026b9, (q31_t)0x7fb8538b, (q31_t)0xf789e1bc, (q31_t)0x7fb7e90f, (q31_t)0xf7839cc4, (q31_t)0x7fb77e45, (q31_t)0xf77d57d2,
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+  (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fb4f710, (q31_t)0xf757ba93, (q31_t)0x7fb48a1e, (q31_t)0xf75175c6, (q31_t)0x7fb41cdd, (q31_t)0xf74b30fe,
+  (q31_t)0x7fb3af4e, (q31_t)0xf744ec3b, (q31_t)0x7fb34170, (q31_t)0xf73ea77e, (q31_t)0x7fb2d343, (q31_t)0xf73862c6, (q31_t)0x7fb264c7, (q31_t)0xf7321e14,
+  (q31_t)0x7fb1f5fc, (q31_t)0xf72bd967, (q31_t)0x7fb186e3, (q31_t)0xf72594c0, (q31_t)0x7fb1177b, (q31_t)0xf71f501e, (q31_t)0x7fb0a7c4, (q31_t)0xf7190b81,
+  (q31_t)0x7fb037bf, (q31_t)0xf712c6ea, (q31_t)0x7fafc76a, (q31_t)0xf70c8259, (q31_t)0x7faf56c7, (q31_t)0xf7063dcd, (q31_t)0x7faee5d5, (q31_t)0xf6fff946,
+  (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6, (q31_t)0x7fae0305, (q31_t)0xf6f3704a, (q31_t)0x7fad9127, (q31_t)0xf6ed2bd4, (q31_t)0x7fad1efa, (q31_t)0xf6e6e764,
+  (q31_t)0x7facac7f, (q31_t)0xf6e0a2fa, (q31_t)0x7fac39b4, (q31_t)0xf6da5e95, (q31_t)0x7fabc69b, (q31_t)0xf6d41a36, (q31_t)0x7fab5333, (q31_t)0xf6cdd5dc,
+  (q31_t)0x7faadf7c, (q31_t)0xf6c79188, (q31_t)0x7faa6b77, (q31_t)0xf6c14d3a, (q31_t)0x7fa9f723, (q31_t)0xf6bb08f1, (q31_t)0x7fa98280, (q31_t)0xf6b4c4ae,
+  (q31_t)0x7fa90d8e, (q31_t)0xf6ae8071, (q31_t)0x7fa8984e, (q31_t)0xf6a83c3a, (q31_t)0x7fa822bf, (q31_t)0xf6a1f808, (q31_t)0x7fa7ace1, (q31_t)0xf69bb3dd,
+  (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7fa6c039, (q31_t)0xf68f2b96, (q31_t)0x7fa6496e, (q31_t)0xf688e77c, (q31_t)0x7fa5d256, (q31_t)0xf682a367,
+  (q31_t)0x7fa55aee, (q31_t)0xf67c5f59, (q31_t)0x7fa4e338, (q31_t)0xf6761b50, (q31_t)0x7fa46b32, (q31_t)0xf66fd74d, (q31_t)0x7fa3f2df, (q31_t)0xf6699350,
+  (q31_t)0x7fa37a3c, (q31_t)0xf6634f59, (q31_t)0x7fa3014b, (q31_t)0xf65d0b68, (q31_t)0x7fa2880b, (q31_t)0xf656c77c, (q31_t)0x7fa20e7c, (q31_t)0xf6508397,
+  (q31_t)0x7fa1949e, (q31_t)0xf64a3fb8, (q31_t)0x7fa11a72, (q31_t)0xf643fbdf, (q31_t)0x7fa09ff7, (q31_t)0xf63db80b, (q31_t)0x7fa0252e, (q31_t)0xf637743e,
+  (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f9f2eae, (q31_t)0xf62aecb5, (q31_t)0x7f9eb2f8, (q31_t)0xf624a8fa, (q31_t)0x7f9e36f4, (q31_t)0xf61e6545,
+  (q31_t)0x7f9dbaa0, (q31_t)0xf6182196, (q31_t)0x7f9d3dfe, (q31_t)0xf611dded, (q31_t)0x7f9cc10d, (q31_t)0xf60b9a4b, (q31_t)0x7f9c43ce, (q31_t)0xf60556ae,
+  (q31_t)0x7f9bc640, (q31_t)0xf5ff1318, (q31_t)0x7f9b4863, (q31_t)0xf5f8cf87, (q31_t)0x7f9aca37, (q31_t)0xf5f28bfd, (q31_t)0x7f9a4bbd, (q31_t)0xf5ec4879,
+  (q31_t)0x7f99ccf4, (q31_t)0xf5e604fc, (q31_t)0x7f994ddc, (q31_t)0xf5dfc184, (q31_t)0x7f98ce76, (q31_t)0xf5d97e13, (q31_t)0x7f984ec1, (q31_t)0xf5d33aa8,
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+  (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f74ba83, (q31_t)0xf436121e, (q31_t)0x7f742637, (q31_t)0xf42fd079, (q31_t)0x7f73919d, (q31_t)0xf4298edc,
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+  (q31_t)0x7f70a5fe, (q31_t)0xf40a4735, (q31_t)0x7f700f8c, (q31_t)0xf40405c3, (q31_t)0x7f6f78cb, (q31_t)0xf3fdc459, (q31_t)0x7f6ee1bc, (q31_t)0xf3f782f6,
+  (q31_t)0x7f6e4a5e, (q31_t)0xf3f1419a, (q31_t)0x7f6db2b1, (q31_t)0xf3eb0046, (q31_t)0x7f6d1ab6, (q31_t)0xf3e4bef9, (q31_t)0x7f6c826d, (q31_t)0xf3de7db4,
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+  (q31_t)0x7f671a05, (q31_t)0xf3a63398, (q31_t)0x7f667ea9, (q31_t)0xf39ff29f, (q31_t)0x7f65e2ff, (q31_t)0xf399b1ad, (q31_t)0x7f654706, (q31_t)0xf39370c2,
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+  (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f37a684, (q31_t)0xf1ddfe6f, (q31_t)0x7f36f4c3, (q31_t)0xf1d7bfca, (q31_t)0x7f3642b4, (q31_t)0xf1d1812e,
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+  (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f20d674, (q31_t)0xf1163b0b, (q31_t)0x7f201ae5, (q31_t)0xf10ffd85, (q31_t)0x7f1f5f08, (q31_t)0xf109c009,
+  (q31_t)0x7f1ea2dc, (q31_t)0xf1038295, (q31_t)0x7f1de662, (q31_t)0xf0fd452b, (q31_t)0x7f1d299a, (q31_t)0xf0f707ca, (q31_t)0x7f1c6c83, (q31_t)0xf0f0ca72,
+  (q31_t)0x7f1baf1e, (q31_t)0xf0ea8d24, (q31_t)0x7f1af16a, (q31_t)0xf0e44fdf, (q31_t)0x7f1a3368, (q31_t)0xf0de12a3, (q31_t)0x7f197518, (q31_t)0xf0d7d571,
+  (q31_t)0x7f18b679, (q31_t)0xf0d19848, (q31_t)0x7f17f78c, (q31_t)0xf0cb5b28, (q31_t)0x7f173850, (q31_t)0xf0c51e12, (q31_t)0x7f1678c6, (q31_t)0xf0bee105,
+  (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401, (q31_t)0x7f14f8c7, (q31_t)0xf0b26707, (q31_t)0x7f143852, (q31_t)0xf0ac2a16, (q31_t)0x7f13778e, (q31_t)0xf0a5ed2f,
+  (q31_t)0x7f12b67c, (q31_t)0xf09fb051, (q31_t)0x7f11f51c, (q31_t)0xf099737d, (q31_t)0x7f11336d, (q31_t)0xf09336b2, (q31_t)0x7f107170, (q31_t)0xf08cf9f1,
+  (q31_t)0x7f0faf25, (q31_t)0xf086bd39, (q31_t)0x7f0eec8b, (q31_t)0xf080808b, (q31_t)0x7f0e29a3, (q31_t)0xf07a43e7, (q31_t)0x7f0d666c, (q31_t)0xf074074c,
+  (q31_t)0x7f0ca2e7, (q31_t)0xf06dcaba, (q31_t)0x7f0bdf14, (q31_t)0xf0678e32, (q31_t)0x7f0b1af2, (q31_t)0xf06151b4, (q31_t)0x7f0a5682, (q31_t)0xf05b1540,
+  (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7f08ccb7, (q31_t)0xf04e9c73, (q31_t)0x7f08075c, (q31_t)0xf048601c, (q31_t)0x7f0741b2, (q31_t)0xf04223ce,
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+  (q31_t)0x7f0360cb, (q31_t)0xf022f6da, (q31_t)0x7f02994b, (q31_t)0xf01cbac7, (q31_t)0x7f01d17d, (q31_t)0xf0167ebd, (q31_t)0x7f010961, (q31_t)0xf01042be,
+  (q31_t)0x7f0040f6, (q31_t)0xf00a06c8, (q31_t)0x7eff783d, (q31_t)0xf003cadc, (q31_t)0x7efeaf36, (q31_t)0xeffd8ef9, (q31_t)0x7efde5e0, (q31_t)0xeff75321,
+  (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7efc524a, (q31_t)0xefeadb8e, (q31_t)0x7efb8809, (q31_t)0xefe49fd3, (q31_t)0x7efabd7a, (q31_t)0xefde6423,
+  (q31_t)0x7ef9f29d, (q31_t)0xefd8287c, (q31_t)0x7ef92771, (q31_t)0xefd1ecdf, (q31_t)0x7ef85bf7, (q31_t)0xefcbb14c, (q31_t)0x7ef7902f, (q31_t)0xefc575c3,
+  (q31_t)0x7ef6c418, (q31_t)0xefbf3a45, (q31_t)0x7ef5f7b3, (q31_t)0xefb8fed0, (q31_t)0x7ef52b00, (q31_t)0xefb2c365, (q31_t)0x7ef45dfe, (q31_t)0xefac8804,
+  (q31_t)0x7ef390ae, (q31_t)0xefa64cae, (q31_t)0x7ef2c310, (q31_t)0xefa01161, (q31_t)0x7ef1f524, (q31_t)0xef99d61f, (q31_t)0x7ef126e9, (q31_t)0xef939ae6,
+  (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7eef8988, (q31_t)0xef872494, (q31_t)0x7eeeba62, (q31_t)0xef80e97a, (q31_t)0x7eedeaee, (q31_t)0xef7aae6b,
+  (q31_t)0x7eed1b2c, (q31_t)0xef747365, (q31_t)0x7eec4b1b, (q31_t)0xef6e386a, (q31_t)0x7eeb7abc, (q31_t)0xef67fd79, (q31_t)0x7eeaaa0f, (q31_t)0xef61c292,
+  (q31_t)0x7ee9d914, (q31_t)0xef5b87b5, (q31_t)0x7ee907ca, (q31_t)0xef554ce3, (q31_t)0x7ee83632, (q31_t)0xef4f121b, (q31_t)0x7ee7644c, (q31_t)0xef48d75d,
+  (q31_t)0x7ee69217, (q31_t)0xef429caa, (q31_t)0x7ee5bf94, (q31_t)0xef3c6201, (q31_t)0x7ee4ecc3, (q31_t)0xef362762, (q31_t)0x7ee419a3, (q31_t)0xef2feccd,
+  (q31_t)0x7ee34636, (q31_t)0xef29b243, (q31_t)0x7ee2727a, (q31_t)0xef2377c4, (q31_t)0x7ee19e6f, (q31_t)0xef1d3d4e, (q31_t)0x7ee0ca17, (q31_t)0xef1702e4,
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+  (q31_t)0x7edc9fc6, (q31_t)0xeef7df6a, (q31_t)0x7edbc998, (q31_t)0xeef1a53e, (q31_t)0x7edaf31c, (q31_t)0xeeeb6b1c, (q31_t)0x7eda1c51, (q31_t)0xeee53105,
+  (q31_t)0x7ed94538, (q31_t)0xeedef6f9, (q31_t)0x7ed86dd1, (q31_t)0xeed8bcf7, (q31_t)0x7ed7961c, (q31_t)0xeed28300, (q31_t)0x7ed6be18, (q31_t)0xeecc4913,
+  (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ed50d26, (q31_t)0xeebfd55a, (q31_t)0x7ed43438, (q31_t)0xeeb99b8d, (q31_t)0x7ed35afb, (q31_t)0xeeb361cb,
+  (q31_t)0x7ed28171, (q31_t)0xeead2813, (q31_t)0x7ed1a798, (q31_t)0xeea6ee66, (q31_t)0x7ed0cd70, (q31_t)0xeea0b4c4, (q31_t)0x7ecff2fb, (q31_t)0xee9a7b2d,
+  (q31_t)0x7ecf1837, (q31_t)0xee9441a0, (q31_t)0x7ece3d25, (q31_t)0xee8e081e, (q31_t)0x7ecd61c5, (q31_t)0xee87cea7, (q31_t)0x7ecc8617, (q31_t)0xee81953b,
+  (q31_t)0x7ecbaa1a, (q31_t)0xee7b5bd9, (q31_t)0x7ecacdd0, (q31_t)0xee752283, (q31_t)0x7ec9f137, (q31_t)0xee6ee937, (q31_t)0x7ec9144f, (q31_t)0xee68aff6,
+  (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7ec75996, (q31_t)0xee5c3d94, (q31_t)0x7ec67bc5, (q31_t)0xee560473, (q31_t)0x7ec59da5, (q31_t)0xee4fcb5e,
+  (q31_t)0x7ec4bf36, (q31_t)0xee499253, (q31_t)0x7ec3e07a, (q31_t)0xee435953, (q31_t)0x7ec3016f, (q31_t)0xee3d205e, (q31_t)0x7ec22217, (q31_t)0xee36e775,
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+  (q31_t)0x7ebdc0c6, (q31_t)0xee17cb88, (q31_t)0x7ebcdf98, (q31_t)0xee1192e0, (q31_t)0x7ebbfe1c, (q31_t)0xee0b5a43, (q31_t)0x7ebb1c52, (q31_t)0xee0521b2,
+  (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eb957d2, (q31_t)0xedf8b0b0, (q31_t)0x7eb8751e, (q31_t)0xedf2783f, (q31_t)0x7eb7921b, (q31_t)0xedec3fda,
+  (q31_t)0x7eb6aeca, (q31_t)0xede60780, (q31_t)0x7eb5cb2a, (q31_t)0xeddfcf31, (q31_t)0x7eb4e73d, (q31_t)0xedd996ed, (q31_t)0x7eb40301, (q31_t)0xedd35eb5,
+  (q31_t)0x7eb31e78, (q31_t)0xedcd2687, (q31_t)0x7eb239a0, (q31_t)0xedc6ee65, (q31_t)0x7eb1547a, (q31_t)0xedc0b64e, (q31_t)0x7eb06f05, (q31_t)0xedba7e43,
+  (q31_t)0x7eaf8943, (q31_t)0xedb44642, (q31_t)0x7eaea333, (q31_t)0xedae0e4d, (q31_t)0x7eadbcd4, (q31_t)0xeda7d664, (q31_t)0x7eacd627, (q31_t)0xeda19e85,
+  (q31_t)0x7eabef2c, (q31_t)0xed9b66b2, (q31_t)0x7eab07e3, (q31_t)0xed952eea, (q31_t)0x7eaa204c, (q31_t)0xed8ef72e, (q31_t)0x7ea93867, (q31_t)0xed88bf7d,
+  (q31_t)0x7ea85033, (q31_t)0xed8287d7, (q31_t)0x7ea767b2, (q31_t)0xed7c503d, (q31_t)0x7ea67ee2, (q31_t)0xed7618ae, (q31_t)0x7ea595c4, (q31_t)0xed6fe12b,
+  (q31_t)0x7ea4ac58, (q31_t)0xed69a9b3, (q31_t)0x7ea3c29e, (q31_t)0xed637246, (q31_t)0x7ea2d896, (q31_t)0xed5d3ae5, (q31_t)0x7ea1ee3f, (q31_t)0xed570390,
+  (q31_t)0x7ea1039b, (q31_t)0xed50cc46, (q31_t)0x7ea018a8, (q31_t)0xed4a9507, (q31_t)0x7e9f2d68, (q31_t)0xed445dd5, (q31_t)0x7e9e41d9, (q31_t)0xed3e26ad,
+  (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e9c69d1, (q31_t)0xed31b881, (q31_t)0x7e9b7d58, (q31_t)0xed2b817d, (q31_t)0x7e9a9091, (q31_t)0xed254a84,
+  (q31_t)0x7e99a37c, (q31_t)0xed1f1396, (q31_t)0x7e98b618, (q31_t)0xed18dcb5, (q31_t)0x7e97c867, (q31_t)0xed12a5df, (q31_t)0x7e96da67, (q31_t)0xed0c6f14,
+  (q31_t)0x7e95ec1a, (q31_t)0xed063856, (q31_t)0x7e94fd7e, (q31_t)0xed0001a3, (q31_t)0x7e940e94, (q31_t)0xecf9cafb, (q31_t)0x7e931f5c, (q31_t)0xecf39460,
+  (q31_t)0x7e922fd6, (q31_t)0xeced5dd0, (q31_t)0x7e914002, (q31_t)0xece7274c, (q31_t)0x7e904fe0, (q31_t)0xece0f0d4, (q31_t)0x7e8f5f70, (q31_t)0xecdaba67,
+  (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e8d7da6, (q31_t)0xecce4db2, (q31_t)0x7e8c8c4b, (q31_t)0xecc81769, (q31_t)0x7e8b9aa3, (q31_t)0xecc1e12c,
+  (q31_t)0x7e8aa8ac, (q31_t)0xecbbaafb, (q31_t)0x7e89b668, (q31_t)0xecb574d5, (q31_t)0x7e88c3d5, (q31_t)0xecaf3ebc, (q31_t)0x7e87d0f5, (q31_t)0xeca908ae,
+  (q31_t)0x7e86ddc6, (q31_t)0xeca2d2ad, (q31_t)0x7e85ea49, (q31_t)0xec9c9cb7, (q31_t)0x7e84f67e, (q31_t)0xec9666cd, (q31_t)0x7e840265, (q31_t)0xec9030f0,
+  (q31_t)0x7e830dff, (q31_t)0xec89fb1e, (q31_t)0x7e82194a, (q31_t)0xec83c558, (q31_t)0x7e812447, (q31_t)0xec7d8f9e, (q31_t)0x7e802ef6, (q31_t)0xec7759f1,
+  (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e7e436a, (q31_t)0xec6aeeba, (q31_t)0x7e7d4d2f, (q31_t)0xec64b930, (q31_t)0x7e7c56a5, (q31_t)0xec5e83b3,
+  (q31_t)0x7e7b5fce, (q31_t)0xec584e41, (q31_t)0x7e7a68a9, (q31_t)0xec5218dc, (q31_t)0x7e797136, (q31_t)0xec4be383, (q31_t)0x7e787975, (q31_t)0xec45ae36,
+  (q31_t)0x7e778166, (q31_t)0xec3f78f6, (q31_t)0x7e768908, (q31_t)0xec3943c1, (q31_t)0x7e75905d, (q31_t)0xec330e99, (q31_t)0x7e749764, (q31_t)0xec2cd97d,
+  (q31_t)0x7e739e1d, (q31_t)0xec26a46d, (q31_t)0x7e72a488, (q31_t)0xec206f69, (q31_t)0x7e71aaa4, (q31_t)0xec1a3a72, (q31_t)0x7e70b073, (q31_t)0xec140587,
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+  (q31_t)0x7e6bc8eb, (q31_t)0xebf4fda8, (q31_t)0x7e6acce6, (q31_t)0xebeec907, (q31_t)0x7e69d093, (q31_t)0xebe89472, (q31_t)0x7e68d3f2, (q31_t)0xebe25fea,
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+  (q31_t)0x7e63e03b, (q31_t)0xebc359fb, (q31_t)0x7e62e1c6, (q31_t)0xebbd25bd, (q31_t)0x7e61e303, (q31_t)0xebb6f18c, (q31_t)0x7e60e3f2, (q31_t)0xebb0bd67,
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+  (q31_t)0x7e5be40c, (q31_t)0xeb91b96c, (q31_t)0x7e5ae328, (q31_t)0xeb8b8593, (q31_t)0x7e59e1f5, (q31_t)0xeb8551c6, (q31_t)0x7e58e075, (q31_t)0xeb7f1e06,
+  (q31_t)0x7e57dea7, (q31_t)0xeb78ea52, (q31_t)0x7e56dc8a, (q31_t)0xeb72b6ac, (q31_t)0x7e55da20, (q31_t)0xeb6c8312, (q31_t)0x7e54d768, (q31_t)0xeb664f84,
+  (q31_t)0x7e53d462, (q31_t)0xeb601c04, (q31_t)0x7e52d10e, (q31_t)0xeb59e890, (q31_t)0x7e51cd6c, (q31_t)0xeb53b529, (q31_t)0x7e50c97c, (q31_t)0xeb4d81ce,
+  (q31_t)0x7e4fc53e, (q31_t)0xeb474e81, (q31_t)0x7e4ec0b2, (q31_t)0xeb411b40, (q31_t)0x7e4dbbd9, (q31_t)0xeb3ae80c, (q31_t)0x7e4cb6b1, (q31_t)0xeb34b4e4,
+  (q31_t)0x7e4bb13c, (q31_t)0xeb2e81ca, (q31_t)0x7e4aab78, (q31_t)0xeb284ebc, (q31_t)0x7e49a567, (q31_t)0xeb221bbb, (q31_t)0x7e489f08, (q31_t)0xeb1be8c8,
+  (q31_t)0x7e47985b, (q31_t)0xeb15b5e1, (q31_t)0x7e469160, (q31_t)0xeb0f8307, (q31_t)0x7e458a17, (q31_t)0xeb095039, (q31_t)0x7e448281, (q31_t)0xeb031d79,
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+  (q31_t)0x7e3f57ff, (q31_t)0xeae4207a, (q31_t)0x7e3e4e95, (q31_t)0xeaddee08, (q31_t)0x7e3d44dd, (q31_t)0xead7bba3, (q31_t)0x7e3c3ad7, (q31_t)0xead1894b,
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+  (q31_t)0x7e37042a, (q31_t)0xeab28e56, (q31_t)0x7e35f851, (q31_t)0xeaac5c4c, (q31_t)0x7e34ec2b, (q31_t)0xeaa62a4f, (q31_t)0x7e33dfb6, (q31_t)0xea9ff860,
+  (q31_t)0x7e32d2f4, (q31_t)0xea99c67e, (q31_t)0x7e31c5e3, (q31_t)0xea9394a9, (q31_t)0x7e30b885, (q31_t)0xea8d62e1, (q31_t)0x7e2faad9, (q31_t)0xea873127,
+  (q31_t)0x7e2e9cdf, (q31_t)0xea80ff7a, (q31_t)0x7e2d8e97, (q31_t)0xea7acdda, (q31_t)0x7e2c8002, (q31_t)0xea749c47, (q31_t)0x7e2b711f, (q31_t)0xea6e6ac2,
+  (q31_t)0x7e2a61ed, (q31_t)0xea683949, (q31_t)0x7e29526e, (q31_t)0xea6207df, (q31_t)0x7e2842a2, (q31_t)0xea5bd681, (q31_t)0x7e273287, (q31_t)0xea55a531,
+  (q31_t)0x7e26221f, (q31_t)0xea4f73ee, (q31_t)0x7e251168, (q31_t)0xea4942b9, (q31_t)0x7e240064, (q31_t)0xea431191, (q31_t)0x7e22ef12, (q31_t)0xea3ce077,
+  (q31_t)0x7e21dd73, (q31_t)0xea36af69, (q31_t)0x7e20cb85, (q31_t)0xea307e6a, (q31_t)0x7e1fb94a, (q31_t)0xea2a4d78, (q31_t)0x7e1ea6c1, (q31_t)0xea241c93,
+  (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7e1c80c5, (q31_t)0xea17baf2, (q31_t)0x7e1b6d53, (q31_t)0xea118a35, (q31_t)0x7e1a5992, (q31_t)0xea0b5987,
+  (q31_t)0x7e194584, (q31_t)0xea0528e5, (q31_t)0x7e183128, (q31_t)0xe9fef852, (q31_t)0x7e171c7f, (q31_t)0xe9f8c7cc, (q31_t)0x7e160787, (q31_t)0xe9f29753,
+  (q31_t)0x7e14f242, (q31_t)0xe9ec66e8, (q31_t)0x7e13dcaf, (q31_t)0xe9e6368b, (q31_t)0x7e12c6ce, (q31_t)0xe9e0063c, (q31_t)0x7e11b0a0, (q31_t)0xe9d9d5fa,
+  (q31_t)0x7e109a24, (q31_t)0xe9d3a5c5, (q31_t)0x7e0f835a, (q31_t)0xe9cd759f, (q31_t)0x7e0e6c42, (q31_t)0xe9c74586, (q31_t)0x7e0d54dc, (q31_t)0xe9c1157a,
+  (q31_t)0x7e0c3d29, (q31_t)0xe9bae57d, (q31_t)0x7e0b2528, (q31_t)0xe9b4b58d, (q31_t)0x7e0a0cd9, (q31_t)0xe9ae85ab, (q31_t)0x7e08f43d, (q31_t)0xe9a855d7,
+  (q31_t)0x7e07db52, (q31_t)0xe9a22610, (q31_t)0x7e06c21a, (q31_t)0xe99bf658, (q31_t)0x7e05a894, (q31_t)0xe995c6ad, (q31_t)0x7e048ec1, (q31_t)0xe98f9710,
+  (q31_t)0x7e0374a0, (q31_t)0xe9896781, (q31_t)0x7e025a31, (q31_t)0xe98337ff, (q31_t)0x7e013f74, (q31_t)0xe97d088c, (q31_t)0x7e00246a, (q31_t)0xe976d926,
+  (q31_t)0x7dff0911, (q31_t)0xe970a9ce, (q31_t)0x7dfded6c, (q31_t)0xe96a7a85, (q31_t)0x7dfcd178, (q31_t)0xe9644b49, (q31_t)0x7dfbb537, (q31_t)0xe95e1c1b,
+  (q31_t)0x7dfa98a8, (q31_t)0xe957ecfb, (q31_t)0x7df97bcb, (q31_t)0xe951bde9, (q31_t)0x7df85ea0, (q31_t)0xe94b8ee5, (q31_t)0x7df74128, (q31_t)0xe9455fef,
+  (q31_t)0x7df62362, (q31_t)0xe93f3107, (q31_t)0x7df5054f, (q31_t)0xe939022d, (q31_t)0x7df3e6ee, (q31_t)0xe932d361, (q31_t)0x7df2c83f, (q31_t)0xe92ca4a4,
+  (q31_t)0x7df1a942, (q31_t)0xe92675f4, (q31_t)0x7df089f8, (q31_t)0xe9204752, (q31_t)0x7def6a60, (q31_t)0xe91a18bf, (q31_t)0x7dee4a7a, (q31_t)0xe913ea39,
+  (q31_t)0x7ded2a47, (q31_t)0xe90dbbc2, (q31_t)0x7dec09c6, (q31_t)0xe9078d59, (q31_t)0x7deae8f7, (q31_t)0xe9015efe, (q31_t)0x7de9c7da, (q31_t)0xe8fb30b1,
+  (q31_t)0x7de8a670, (q31_t)0xe8f50273, (q31_t)0x7de784b9, (q31_t)0xe8eed443, (q31_t)0x7de662b3, (q31_t)0xe8e8a621, (q31_t)0x7de54060, (q31_t)0xe8e2780d,
+  (q31_t)0x7de41dc0, (q31_t)0xe8dc4a07, (q31_t)0x7de2fad1, (q31_t)0xe8d61c10, (q31_t)0x7de1d795, (q31_t)0xe8cfee27, (q31_t)0x7de0b40b, (q31_t)0xe8c9c04c,
+  (q31_t)0x7ddf9034, (q31_t)0xe8c39280, (q31_t)0x7dde6c0f, (q31_t)0xe8bd64c2, (q31_t)0x7ddd479d, (q31_t)0xe8b73712, (q31_t)0x7ddc22dc, (q31_t)0xe8b10971,
+  (q31_t)0x7ddafdce, (q31_t)0xe8aadbde, (q31_t)0x7dd9d873, (q31_t)0xe8a4ae59, (q31_t)0x7dd8b2ca, (q31_t)0xe89e80e3, (q31_t)0x7dd78cd3, (q31_t)0xe898537b,
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+  (q31_t)0x7dc3d90d, (q31_t)0xe82f5844, (q31_t)0x7dc2ada2, (q31_t)0xe8292be3, (q31_t)0x7dc181e8, (q31_t)0xe822ff90, (q31_t)0x7dc055e2, (q31_t)0xe81cd34b,
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+  (q31_t)0x7db5bc02, (q31_t)0xe7e5477f, (q31_t)0x7db48cf4, (q31_t)0xe7df1bcf, (q31_t)0x7db35d98, (q31_t)0xe7d8f02d, (q31_t)0x7db22def, (q31_t)0xe7d2c49b,
+  (q31_t)0x7db0fdf8, (q31_t)0xe7cc9917, (q31_t)0x7dafcdb3, (q31_t)0xe7c66da3, (q31_t)0x7dae9d21, (q31_t)0xe7c0423d, (q31_t)0x7dad6c42, (q31_t)0xe7ba16e7,
+  (q31_t)0x7dac3b15, (q31_t)0xe7b3eb9f, (q31_t)0x7dab099a, (q31_t)0xe7adc066, (q31_t)0x7da9d7d2, (q31_t)0xe7a7953d, (q31_t)0x7da8a5bc, (q31_t)0xe7a16a22,
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+  (q31_t)0x7da2a6c6, (q31_t)0xe782937e, (q31_t)0x7da172df, (q31_t)0xe77c68be, (q31_t)0x7da03eab, (q31_t)0xe7763e0d, (q31_t)0x7d9f0a29, (q31_t)0xe770136b,
+  (q31_t)0x7d9dd55a, (q31_t)0xe769e8d8, (q31_t)0x7d9ca03e, (q31_t)0xe763be55, (q31_t)0x7d9b6ad3, (q31_t)0xe75d93e0, (q31_t)0x7d9a351c, (q31_t)0xe757697b,
+  (q31_t)0x7d98ff17, (q31_t)0xe7513f25, (q31_t)0x7d97c8c4, (q31_t)0xe74b14de, (q31_t)0x7d969224, (q31_t)0xe744eaa6, (q31_t)0x7d955b37, (q31_t)0xe73ec07e,
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+  (q31_t)0x7d808728, (q31_t)0xe6d5fcfc, (q31_t)0x7d7f4ac8, (q31_t)0xe6cfd3e9, (q31_t)0x7d7e0e1c, (q31_t)0xe6c9aae5, (q31_t)0x7d7cd121, (q31_t)0xe6c381f1,
+  (q31_t)0x7d7b93da, (q31_t)0xe6bd590d, (q31_t)0x7d7a5645, (q31_t)0xe6b73038, (q31_t)0x7d791862, (q31_t)0xe6b10772, (q31_t)0x7d77da32, (q31_t)0xe6aadebc,
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+  (q31_t)0x7d6c9ce9, (q31_t)0xe6737319, (q31_t)0x7d6b5bb4, (q31_t)0xe66d4b01, (q31_t)0x7d6a1a31, (q31_t)0xe66722f7, (q31_t)0x7d68d860, (q31_t)0xe660fafe,
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+  (q31_t)0x7d58654d, (q31_t)0xe610f8f9, (q31_t)0x7d571f41, (q31_t)0xe60ad1de, (q31_t)0x7d55d8e9, (q31_t)0xe604aad4, (q31_t)0x7d549243, (q31_t)0xe5fe83d9,
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+  (q31_t)0x7d3eb30f, (q31_t)0xe595f6d7, (q31_t)0x7d3d66fa, (q31_t)0xe58fd0ff, (q31_t)0x7d3c1a98, (q31_t)0xe589ab38, (q31_t)0x7d3acde9, (q31_t)0xe5838581,
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+  (q31_t)0x7d0f4218, (q31_t)0xe4b8cd11, (q31_t)0x7d0deb28, (q31_t)0xe4b2a98e, (q31_t)0x7d0c93eb, (q31_t)0xe4ac861b, (q31_t)0x7d0b3c60, (q31_t)0xe4a662ba,
+  (q31_t)0x7d09e489, (q31_t)0xe4a03f69, (q31_t)0x7d088c64, (q31_t)0xe49a1c29, (q31_t)0x7d0733f3, (q31_t)0xe493f8fb, (q31_t)0x7d05db34, (q31_t)0xe48dd5dd,
+  (q31_t)0x7d048228, (q31_t)0xe487b2d0, (q31_t)0x7d0328cf, (q31_t)0xe4818fd4, (q31_t)0x7d01cf29, (q31_t)0xe47b6ce9, (q31_t)0x7d007535, (q31_t)0xe4754a0e,
+  (q31_t)0x7cff1af5, (q31_t)0xe46f2745, (q31_t)0x7cfdc068, (q31_t)0xe469048d, (q31_t)0x7cfc658d, (q31_t)0xe462e1e6, (q31_t)0x7cfb0a65, (q31_t)0xe45cbf50,
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+  (q31_t)0x7cf43e1a, (q31_t)0xe43e1362, (q31_t)0x7cf2e124, (q31_t)0xe437f132, (q31_t)0x7cf183e1, (q31_t)0xe431cf14, (q31_t)0x7cf02651, (q31_t)0xe42bad07,
+  (q31_t)0x7ceec873, (q31_t)0xe4258b0a, (q31_t)0x7ced6a49, (q31_t)0xe41f6920, (q31_t)0x7cec0bd1, (q31_t)0xe4194746, (q31_t)0x7ceaad0c, (q31_t)0xe413257d,
+  (q31_t)0x7ce94dfb, (q31_t)0xe40d03c6, (q31_t)0x7ce7ee9c, (q31_t)0xe406e220, (q31_t)0x7ce68ef0, (q31_t)0xe400c08b, (q31_t)0x7ce52ef7, (q31_t)0xe3fa9f08,
+  (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7ce26e1f, (q31_t)0xe3ee5c35, (q31_t)0x7ce10d3f, (q31_t)0xe3e83ae5, (q31_t)0x7cdfac12, (q31_t)0xe3e219a7,
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+  (q31_t)0x7cd8c1ae, (q31_t)0xe3c37474, (q31_t)0x7cd75eb3, (q31_t)0xe3bd539e, (q31_t)0x7cd5fb6a, (q31_t)0xe3b732d9, (q31_t)0x7cd497d5, (q31_t)0xe3b11226,
+  (q31_t)0x7cd333f3, (q31_t)0xe3aaf184, (q31_t)0x7cd1cfc4, (q31_t)0xe3a4d0f4, (q31_t)0x7cd06b48, (q31_t)0xe39eb075, (q31_t)0x7ccf067f, (q31_t)0xe3989008,
+  (q31_t)0x7ccda169, (q31_t)0xe3926fad, (q31_t)0x7ccc3c06, (q31_t)0xe38c4f63, (q31_t)0x7ccad656, (q31_t)0xe3862f2a, (q31_t)0x7cc97059, (q31_t)0xe3800f03,
+  (q31_t)0x7cc80a0f, (q31_t)0xe379eeed, (q31_t)0x7cc6a378, (q31_t)0xe373ceea, (q31_t)0x7cc53c94, (q31_t)0xe36daef7, (q31_t)0x7cc3d563, (q31_t)0xe3678f17,
+  (q31_t)0x7cc26de5, (q31_t)0xe3616f48, (q31_t)0x7cc1061a, (q31_t)0xe35b4f8b, (q31_t)0x7cbf9e03, (q31_t)0xe3552fdf, (q31_t)0x7cbe359e, (q31_t)0xe34f1045,
+  (q31_t)0x7cbcccec, (q31_t)0xe348f0bd, (q31_t)0x7cbb63ee, (q31_t)0xe342d146, (q31_t)0x7cb9faa2, (q31_t)0xe33cb1e1, (q31_t)0x7cb8910a, (q31_t)0xe336928e,
+  (q31_t)0x7cb72724, (q31_t)0xe330734d, (q31_t)0x7cb5bcf2, (q31_t)0xe32a541d, (q31_t)0x7cb45272, (q31_t)0xe3243500, (q31_t)0x7cb2e7a6, (q31_t)0xe31e15f4,
+  (q31_t)0x7cb17c8d, (q31_t)0xe317f6fa, (q31_t)0x7cb01127, (q31_t)0xe311d811, (q31_t)0x7caea574, (q31_t)0xe30bb93b, (q31_t)0x7cad3974, (q31_t)0xe3059a76,
+  (q31_t)0x7cabcd28, (q31_t)0xe2ff7bc3, (q31_t)0x7caa608e, (q31_t)0xe2f95d23, (q31_t)0x7ca8f3a7, (q31_t)0xe2f33e94, (q31_t)0x7ca78674, (q31_t)0xe2ed2017,
+  (q31_t)0x7ca618f3, (q31_t)0xe2e701ac, (q31_t)0x7ca4ab26, (q31_t)0xe2e0e352, (q31_t)0x7ca33d0c, (q31_t)0xe2dac50b, (q31_t)0x7ca1cea5, (q31_t)0xe2d4a6d6,
+  (q31_t)0x7ca05ff1, (q31_t)0xe2ce88b3, (q31_t)0x7c9ef0f0, (q31_t)0xe2c86aa2, (q31_t)0x7c9d81a3, (q31_t)0xe2c24ca2, (q31_t)0x7c9c1208, (q31_t)0xe2bc2eb5,
+  (q31_t)0x7c9aa221, (q31_t)0xe2b610da, (q31_t)0x7c9931ec, (q31_t)0xe2aff311, (q31_t)0x7c97c16b, (q31_t)0xe2a9d55a, (q31_t)0x7c96509d, (q31_t)0xe2a3b7b5,
+  (q31_t)0x7c94df83, (q31_t)0xe29d9a23, (q31_t)0x7c936e1b, (q31_t)0xe2977ca2, (q31_t)0x7c91fc66, (q31_t)0xe2915f34, (q31_t)0x7c908a65, (q31_t)0xe28b41d7,
+  (q31_t)0x7c8f1817, (q31_t)0xe285248d, (q31_t)0x7c8da57c, (q31_t)0xe27f0755, (q31_t)0x7c8c3294, (q31_t)0xe278ea30, (q31_t)0x7c8abf5f, (q31_t)0xe272cd1c,
+  (q31_t)0x7c894bde, (q31_t)0xe26cb01b, (q31_t)0x7c87d810, (q31_t)0xe266932c, (q31_t)0x7c8663f4, (q31_t)0xe260764f, (q31_t)0x7c84ef8c, (q31_t)0xe25a5984,
+  (q31_t)0x7c837ad8, (q31_t)0xe2543ccc, (q31_t)0x7c8205d6, (q31_t)0xe24e2026, (q31_t)0x7c809088, (q31_t)0xe2480393, (q31_t)0x7c7f1aed, (q31_t)0xe241e711,
+  (q31_t)0x7c7da505, (q31_t)0xe23bcaa2, (q31_t)0x7c7c2ed0, (q31_t)0xe235ae46, (q31_t)0x7c7ab84e, (q31_t)0xe22f91fc, (q31_t)0x7c794180, (q31_t)0xe22975c4,
+  (q31_t)0x7c77ca65, (q31_t)0xe223599e, (q31_t)0x7c7652fd, (q31_t)0xe21d3d8b, (q31_t)0x7c74db48, (q31_t)0xe217218b, (q31_t)0x7c736347, (q31_t)0xe211059d,
+  (q31_t)0x7c71eaf9, (q31_t)0xe20ae9c1, (q31_t)0x7c70725e, (q31_t)0xe204cdf8, (q31_t)0x7c6ef976, (q31_t)0xe1feb241, (q31_t)0x7c6d8041, (q31_t)0xe1f8969d,
+  (q31_t)0x7c6c06c0, (q31_t)0xe1f27b0b, (q31_t)0x7c6a8cf2, (q31_t)0xe1ec5f8c, (q31_t)0x7c6912d7, (q31_t)0xe1e64420, (q31_t)0x7c679870, (q31_t)0xe1e028c6,
+  (q31_t)0x7c661dbc, (q31_t)0xe1da0d7e, (q31_t)0x7c64a2bb, (q31_t)0xe1d3f24a, (q31_t)0x7c63276d, (q31_t)0xe1cdd727, (q31_t)0x7c61abd3, (q31_t)0xe1c7bc18,
+  (q31_t)0x7c602fec, (q31_t)0xe1c1a11b, (q31_t)0x7c5eb3b8, (q31_t)0xe1bb8631, (q31_t)0x7c5d3737, (q31_t)0xe1b56b59, (q31_t)0x7c5bba6a, (q31_t)0xe1af5094,
+  (q31_t)0x7c5a3d50, (q31_t)0xe1a935e2, (q31_t)0x7c58bfe9, (q31_t)0xe1a31b42, (q31_t)0x7c574236, (q31_t)0xe19d00b6, (q31_t)0x7c55c436, (q31_t)0xe196e63c,
+  (q31_t)0x7c5445e9, (q31_t)0xe190cbd4, (q31_t)0x7c52c74f, (q31_t)0xe18ab180, (q31_t)0x7c514869, (q31_t)0xe184973e, (q31_t)0x7c4fc936, (q31_t)0xe17e7d0f,
+  (q31_t)0x7c4e49b7, (q31_t)0xe17862f3, (q31_t)0x7c4cc9ea, (q31_t)0xe17248ea, (q31_t)0x7c4b49d2, (q31_t)0xe16c2ef4, (q31_t)0x7c49c96c, (q31_t)0xe1661510,
+  (q31_t)0x7c4848ba, (q31_t)0xe15ffb3f, (q31_t)0x7c46c7bb, (q31_t)0xe159e182, (q31_t)0x7c45466f, (q31_t)0xe153c7d7, (q31_t)0x7c43c4d7, (q31_t)0xe14dae3f,
+  (q31_t)0x7c4242f2, (q31_t)0xe14794ba, (q31_t)0x7c40c0c1, (q31_t)0xe1417b48, (q31_t)0x7c3f3e42, (q31_t)0xe13b61e9, (q31_t)0x7c3dbb78, (q31_t)0xe135489d,
+  (q31_t)0x7c3c3860, (q31_t)0xe12f2f63, (q31_t)0x7c3ab4fc, (q31_t)0xe129163d, (q31_t)0x7c39314b, (q31_t)0xe122fd2a, (q31_t)0x7c37ad4e, (q31_t)0xe11ce42a,
+  (q31_t)0x7c362904, (q31_t)0xe116cb3d, (q31_t)0x7c34a46d, (q31_t)0xe110b263, (q31_t)0x7c331f8a, (q31_t)0xe10a999c, (q31_t)0x7c319a5a, (q31_t)0xe10480e9,
+  (q31_t)0x7c3014de, (q31_t)0xe0fe6848, (q31_t)0x7c2e8f15, (q31_t)0xe0f84fbb, (q31_t)0x7c2d08ff, (q31_t)0xe0f23740, (q31_t)0x7c2b829d, (q31_t)0xe0ec1ed9,
+  (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7c2874f3, (q31_t)0xe0dfee44, (q31_t)0x7c26edab, (q31_t)0xe0d9d616, (q31_t)0x7c256616, (q31_t)0xe0d3bdfc,
+  (q31_t)0x7c23de35, (q31_t)0xe0cda5f5, (q31_t)0x7c225607, (q31_t)0xe0c78e01, (q31_t)0x7c20cd8d, (q31_t)0xe0c17620, (q31_t)0x7c1f44c6, (q31_t)0xe0bb5e53,
+  (q31_t)0x7c1dbbb3, (q31_t)0xe0b54698, (q31_t)0x7c1c3253, (q31_t)0xe0af2ef2, (q31_t)0x7c1aa8a6, (q31_t)0xe0a9175e, (q31_t)0x7c191ead, (q31_t)0xe0a2ffde,
+  (q31_t)0x7c179467, (q31_t)0xe09ce871, (q31_t)0x7c1609d5, (q31_t)0xe096d117, (q31_t)0x7c147ef6, (q31_t)0xe090b9d1, (q31_t)0x7c12f3cb, (q31_t)0xe08aa29f,
+  (q31_t)0x7c116853, (q31_t)0xe0848b7f, (q31_t)0x7c0fdc8f, (q31_t)0xe07e7473, (q31_t)0x7c0e507e, (q31_t)0xe0785d7b, (q31_t)0x7c0cc421, (q31_t)0xe0724696,
+  (q31_t)0x7c0b3777, (q31_t)0xe06c2fc4, (q31_t)0x7c09aa80, (q31_t)0xe0661906, (q31_t)0x7c081d3d, (q31_t)0xe060025c, (q31_t)0x7c068fae, (q31_t)0xe059ebc5,
+  (q31_t)0x7c0501d2, (q31_t)0xe053d541, (q31_t)0x7c0373a9, (q31_t)0xe04dbed1, (q31_t)0x7c01e534, (q31_t)0xe047a875, (q31_t)0x7c005673, (q31_t)0xe041922c,
+  (q31_t)0x7bfec765, (q31_t)0xe03b7bf6, (q31_t)0x7bfd380a, (q31_t)0xe03565d5, (q31_t)0x7bfba863, (q31_t)0xe02f4fc6, (q31_t)0x7bfa1870, (q31_t)0xe02939cc,
+  (q31_t)0x7bf88830, (q31_t)0xe02323e5, (q31_t)0x7bf6f7a4, (q31_t)0xe01d0e12, (q31_t)0x7bf566cb, (q31_t)0xe016f852, (q31_t)0x7bf3d5a6, (q31_t)0xe010e2a7,
+  (q31_t)0x7bf24434, (q31_t)0xe00acd0e, (q31_t)0x7bf0b276, (q31_t)0xe004b78a, (q31_t)0x7bef206b, (q31_t)0xdffea219, (q31_t)0x7bed8e14, (q31_t)0xdff88cbc,
+  (q31_t)0x7bebfb70, (q31_t)0xdff27773, (q31_t)0x7bea6880, (q31_t)0xdfec623e, (q31_t)0x7be8d544, (q31_t)0xdfe64d1c, (q31_t)0x7be741bb, (q31_t)0xdfe0380e,
+  (q31_t)0x7be5ade6, (q31_t)0xdfda2314, (q31_t)0x7be419c4, (q31_t)0xdfd40e2e, (q31_t)0x7be28556, (q31_t)0xdfcdf95c, (q31_t)0x7be0f09b, (q31_t)0xdfc7e49d,
+  (q31_t)0x7bdf5b94, (q31_t)0xdfc1cff3, (q31_t)0x7bddc641, (q31_t)0xdfbbbb5c, (q31_t)0x7bdc30a1, (q31_t)0xdfb5a6d9, (q31_t)0x7bda9ab5, (q31_t)0xdfaf926a,
+  (q31_t)0x7bd9047c, (q31_t)0xdfa97e0f, (q31_t)0x7bd76df7, (q31_t)0xdfa369c8, (q31_t)0x7bd5d726, (q31_t)0xdf9d5595, (q31_t)0x7bd44008, (q31_t)0xdf974176,
+  (q31_t)0x7bd2a89e, (q31_t)0xdf912d6b, (q31_t)0x7bd110e8, (q31_t)0xdf8b1974, (q31_t)0x7bcf78e5, (q31_t)0xdf850591, (q31_t)0x7bcde095, (q31_t)0xdf7ef1c2,
+  (q31_t)0x7bcc47fa, (q31_t)0xdf78de07, (q31_t)0x7bcaaf12, (q31_t)0xdf72ca60, (q31_t)0x7bc915dd, (q31_t)0xdf6cb6cd, (q31_t)0x7bc77c5d, (q31_t)0xdf66a34e,
+  (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7bc44876, (q31_t)0xdf5a7c8d, (q31_t)0x7bc2ae10, (q31_t)0xdf54694b, (q31_t)0x7bc1135e, (q31_t)0xdf4e561c,
+  (q31_t)0x7bbf7860, (q31_t)0xdf484302, (q31_t)0x7bbddd15, (q31_t)0xdf422ffd, (q31_t)0x7bbc417e, (q31_t)0xdf3c1d0b, (q31_t)0x7bbaa59a, (q31_t)0xdf360a2d,
+  (q31_t)0x7bb9096b, (q31_t)0xdf2ff764, (q31_t)0x7bb76cef, (q31_t)0xdf29e4af, (q31_t)0x7bb5d026, (q31_t)0xdf23d20e, (q31_t)0x7bb43311, (q31_t)0xdf1dbf82,
+  (q31_t)0x7bb295b0, (q31_t)0xdf17ad0a, (q31_t)0x7bb0f803, (q31_t)0xdf119aa6, (q31_t)0x7baf5a09, (q31_t)0xdf0b8856, (q31_t)0x7badbbc3, (q31_t)0xdf05761b,
+  (q31_t)0x7bac1d31, (q31_t)0xdeff63f4, (q31_t)0x7baa7e53, (q31_t)0xdef951e2, (q31_t)0x7ba8df28, (q31_t)0xdef33fe3, (q31_t)0x7ba73fb1, (q31_t)0xdeed2dfa,
+  (q31_t)0x7ba59fee, (q31_t)0xdee71c24, (q31_t)0x7ba3ffde, (q31_t)0xdee10a63, (q31_t)0x7ba25f82, (q31_t)0xdedaf8b7, (q31_t)0x7ba0beda, (q31_t)0xded4e71f,
+  (q31_t)0x7b9f1de6, (q31_t)0xdeced59b, (q31_t)0x7b9d7ca5, (q31_t)0xdec8c42c, (q31_t)0x7b9bdb18, (q31_t)0xdec2b2d1, (q31_t)0x7b9a393f, (q31_t)0xdebca18b,
+  (q31_t)0x7b989719, (q31_t)0xdeb69059, (q31_t)0x7b96f4a8, (q31_t)0xdeb07f3c, (q31_t)0x7b9551ea, (q31_t)0xdeaa6e34, (q31_t)0x7b93aee0, (q31_t)0xdea45d40,
+  (q31_t)0x7b920b89, (q31_t)0xde9e4c60, (q31_t)0x7b9067e7, (q31_t)0xde983b95, (q31_t)0x7b8ec3f8, (q31_t)0xde922adf, (q31_t)0x7b8d1fbd, (q31_t)0xde8c1a3e,
+  (q31_t)0x7b8b7b36, (q31_t)0xde8609b1, (q31_t)0x7b89d662, (q31_t)0xde7ff938, (q31_t)0x7b883143, (q31_t)0xde79e8d5, (q31_t)0x7b868bd7, (q31_t)0xde73d886,
+  (q31_t)0x7b84e61f, (q31_t)0xde6dc84b, (q31_t)0x7b83401b, (q31_t)0xde67b826, (q31_t)0x7b8199ca, (q31_t)0xde61a815, (q31_t)0x7b7ff32e, (q31_t)0xde5b9819,
+  (q31_t)0x7b7e4c45, (q31_t)0xde558831, (q31_t)0x7b7ca510, (q31_t)0xde4f785f, (q31_t)0x7b7afd8f, (q31_t)0xde4968a1, (q31_t)0x7b7955c2, (q31_t)0xde4358f8,
+  (q31_t)0x7b77ada8, (q31_t)0xde3d4964, (q31_t)0x7b760542, (q31_t)0xde3739e4, (q31_t)0x7b745c91, (q31_t)0xde312a7a, (q31_t)0x7b72b393, (q31_t)0xde2b1b24,
+  (q31_t)0x7b710a49, (q31_t)0xde250be3, (q31_t)0x7b6f60b2, (q31_t)0xde1efcb7, (q31_t)0x7b6db6d0, (q31_t)0xde18eda0, (q31_t)0x7b6c0ca2, (q31_t)0xde12de9e,
+  (q31_t)0x7b6a6227, (q31_t)0xde0ccfb1, (q31_t)0x7b68b760, (q31_t)0xde06c0d9, (q31_t)0x7b670c4d, (q31_t)0xde00b216, (q31_t)0x7b6560ee, (q31_t)0xddfaa367,
+  (q31_t)0x7b63b543, (q31_t)0xddf494ce, (q31_t)0x7b62094c, (q31_t)0xddee8649, (q31_t)0x7b605d09, (q31_t)0xdde877da, (q31_t)0x7b5eb079, (q31_t)0xdde26980,
+  (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7b5b5676, (q31_t)0xddd64d0a, (q31_t)0x7b59a902, (q31_t)0xddd03eef, (q31_t)0x7b57fb42, (q31_t)0xddca30e9,
+  (q31_t)0x7b564d36, (q31_t)0xddc422f8, (q31_t)0x7b549ede, (q31_t)0xddbe151d, (q31_t)0x7b52f03a, (q31_t)0xddb80756, (q31_t)0x7b51414a, (q31_t)0xddb1f9a4,
+  (q31_t)0x7b4f920e, (q31_t)0xddabec08, (q31_t)0x7b4de286, (q31_t)0xdda5de81, (q31_t)0x7b4c32b1, (q31_t)0xdd9fd10f, (q31_t)0x7b4a8291, (q31_t)0xdd99c3b2,
+  (q31_t)0x7b48d225, (q31_t)0xdd93b66a, (q31_t)0x7b47216c, (q31_t)0xdd8da938, (q31_t)0x7b457068, (q31_t)0xdd879c1b, (q31_t)0x7b43bf17, (q31_t)0xdd818f13,
+  (q31_t)0x7b420d7a, (q31_t)0xdd7b8220, (q31_t)0x7b405b92, (q31_t)0xdd757543, (q31_t)0x7b3ea95d, (q31_t)0xdd6f687b, (q31_t)0x7b3cf6dc, (q31_t)0xdd695bc9,
+  (q31_t)0x7b3b4410, (q31_t)0xdd634f2b, (q31_t)0x7b3990f7, (q31_t)0xdd5d42a3, (q31_t)0x7b37dd92, (q31_t)0xdd573631, (q31_t)0x7b3629e1, (q31_t)0xdd5129d4,
+  (q31_t)0x7b3475e5, (q31_t)0xdd4b1d8c, (q31_t)0x7b32c19c, (q31_t)0xdd451159, (q31_t)0x7b310d07, (q31_t)0xdd3f053c, (q31_t)0x7b2f5826, (q31_t)0xdd38f935,
+  (q31_t)0x7b2da2fa, (q31_t)0xdd32ed43, (q31_t)0x7b2bed81, (q31_t)0xdd2ce166, (q31_t)0x7b2a37bc, (q31_t)0xdd26d59f, (q31_t)0x7b2881ac, (q31_t)0xdd20c9ed,
+  (q31_t)0x7b26cb4f, (q31_t)0xdd1abe51, (q31_t)0x7b2514a6, (q31_t)0xdd14b2ca, (q31_t)0x7b235db2, (q31_t)0xdd0ea759, (q31_t)0x7b21a671, (q31_t)0xdd089bfe,
+  (q31_t)0x7b1feee5, (q31_t)0xdd0290b8, (q31_t)0x7b1e370d, (q31_t)0xdcfc8588, (q31_t)0x7b1c7ee8, (q31_t)0xdcf67a6d, (q31_t)0x7b1ac678, (q31_t)0xdcf06f68,
+  (q31_t)0x7b190dbc, (q31_t)0xdcea6478, (q31_t)0x7b1754b3, (q31_t)0xdce4599e, (q31_t)0x7b159b5f, (q31_t)0xdcde4eda, (q31_t)0x7b13e1bf, (q31_t)0xdcd8442b,
+  (q31_t)0x7b1227d3, (q31_t)0xdcd23993, (q31_t)0x7b106d9b, (q31_t)0xdccc2f0f, (q31_t)0x7b0eb318, (q31_t)0xdcc624a2, (q31_t)0x7b0cf848, (q31_t)0xdcc01a4a,
+  (q31_t)0x7b0b3d2c, (q31_t)0xdcba1008, (q31_t)0x7b0981c5, (q31_t)0xdcb405dc, (q31_t)0x7b07c612, (q31_t)0xdcadfbc5, (q31_t)0x7b060a12, (q31_t)0xdca7f1c5,
+  (q31_t)0x7b044dc7, (q31_t)0xdca1e7da, (q31_t)0x7b029130, (q31_t)0xdc9bde05, (q31_t)0x7b00d44d, (q31_t)0xdc95d446, (q31_t)0x7aff171e, (q31_t)0xdc8fca9c,
+  (q31_t)0x7afd59a4, (q31_t)0xdc89c109, (q31_t)0x7afb9bdd, (q31_t)0xdc83b78b, (q31_t)0x7af9ddcb, (q31_t)0xdc7dae23, (q31_t)0x7af81f6c, (q31_t)0xdc77a4d2,
+  (q31_t)0x7af660c2, (q31_t)0xdc719b96, (q31_t)0x7af4a1cc, (q31_t)0xdc6b9270, (q31_t)0x7af2e28b, (q31_t)0xdc658960, (q31_t)0x7af122fd, (q31_t)0xdc5f8066,
+  (q31_t)0x7aef6323, (q31_t)0xdc597781, (q31_t)0x7aeda2fe, (q31_t)0xdc536eb3, (q31_t)0x7aebe28d, (q31_t)0xdc4d65fb, (q31_t)0x7aea21d0, (q31_t)0xdc475d59,
+  (q31_t)0x7ae860c7, (q31_t)0xdc4154cd, (q31_t)0x7ae69f73, (q31_t)0xdc3b4c57, (q31_t)0x7ae4ddd2, (q31_t)0xdc3543f7, (q31_t)0x7ae31be6, (q31_t)0xdc2f3bad,
+  (q31_t)0x7ae159ae, (q31_t)0xdc293379, (q31_t)0x7adf972a, (q31_t)0xdc232b5c, (q31_t)0x7addd45b, (q31_t)0xdc1d2354, (q31_t)0x7adc113f, (q31_t)0xdc171b63,
+  (q31_t)0x7ada4dd8, (q31_t)0xdc111388, (q31_t)0x7ad88a25, (q31_t)0xdc0b0bc2, (q31_t)0x7ad6c626, (q31_t)0xdc050414, (q31_t)0x7ad501dc, (q31_t)0xdbfefc7b,
+  (q31_t)0x7ad33d45, (q31_t)0xdbf8f4f8, (q31_t)0x7ad17863, (q31_t)0xdbf2ed8c, (q31_t)0x7acfb336, (q31_t)0xdbece636, (q31_t)0x7acdedbc, (q31_t)0xdbe6def6,
+  (q31_t)0x7acc27f7, (q31_t)0xdbe0d7cd, (q31_t)0x7aca61e6, (q31_t)0xdbdad0b9, (q31_t)0x7ac89b89, (q31_t)0xdbd4c9bc, (q31_t)0x7ac6d4e0, (q31_t)0xdbcec2d6,
+  (q31_t)0x7ac50dec, (q31_t)0xdbc8bc06, (q31_t)0x7ac346ac, (q31_t)0xdbc2b54c, (q31_t)0x7ac17f20, (q31_t)0xdbbcaea8, (q31_t)0x7abfb749, (q31_t)0xdbb6a81b,
+  (q31_t)0x7abdef25, (q31_t)0xdbb0a1a4, (q31_t)0x7abc26b7, (q31_t)0xdbaa9b43, (q31_t)0x7aba5dfc, (q31_t)0xdba494f9, (q31_t)0x7ab894f6, (q31_t)0xdb9e8ec6,
+  (q31_t)0x7ab6cba4, (q31_t)0xdb9888a8, (q31_t)0x7ab50206, (q31_t)0xdb9282a2, (q31_t)0x7ab3381d, (q31_t)0xdb8c7cb1, (q31_t)0x7ab16de7, (q31_t)0xdb8676d8,
+  (q31_t)0x7aafa367, (q31_t)0xdb807114, (q31_t)0x7aadd89a, (q31_t)0xdb7a6b68, (q31_t)0x7aac0d82, (q31_t)0xdb7465d1, (q31_t)0x7aaa421e, (q31_t)0xdb6e6052,
+  (q31_t)0x7aa8766f, (q31_t)0xdb685ae9, (q31_t)0x7aa6aa74, (q31_t)0xdb625596, (q31_t)0x7aa4de2d, (q31_t)0xdb5c505a, (q31_t)0x7aa3119a, (q31_t)0xdb564b35,
+  (q31_t)0x7aa144bc, (q31_t)0xdb504626, (q31_t)0x7a9f7793, (q31_t)0xdb4a412e, (q31_t)0x7a9daa1d, (q31_t)0xdb443c4c, (q31_t)0x7a9bdc5c, (q31_t)0xdb3e3781,
+  (q31_t)0x7a9a0e50, (q31_t)0xdb3832cd, (q31_t)0x7a983ff7, (q31_t)0xdb322e30, (q31_t)0x7a967153, (q31_t)0xdb2c29a9, (q31_t)0x7a94a264, (q31_t)0xdb262539,
+  (q31_t)0x7a92d329, (q31_t)0xdb2020e0, (q31_t)0x7a9103a2, (q31_t)0xdb1a1c9d, (q31_t)0x7a8f33d0, (q31_t)0xdb141871, (q31_t)0x7a8d63b2, (q31_t)0xdb0e145c,
+  (q31_t)0x7a8b9348, (q31_t)0xdb08105e, (q31_t)0x7a89c293, (q31_t)0xdb020c77, (q31_t)0x7a87f192, (q31_t)0xdafc08a6, (q31_t)0x7a862046, (q31_t)0xdaf604ec,
+  (q31_t)0x7a844eae, (q31_t)0xdaf00149, (q31_t)0x7a827ccb, (q31_t)0xdae9fdbd, (q31_t)0x7a80aa9c, (q31_t)0xdae3fa48, (q31_t)0x7a7ed821, (q31_t)0xdaddf6ea,
+  (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a7b3249, (q31_t)0xdad1f072, (q31_t)0x7a795eec, (q31_t)0xdacbed58, (q31_t)0x7a778b43, (q31_t)0xdac5ea56,
+  (q31_t)0x7a75b74f, (q31_t)0xdabfe76a, (q31_t)0x7a73e30f, (q31_t)0xdab9e495, (q31_t)0x7a720e84, (q31_t)0xdab3e1d8, (q31_t)0x7a7039ad, (q31_t)0xdaaddf31,
+  (q31_t)0x7a6e648a, (q31_t)0xdaa7dca1, (q31_t)0x7a6c8f1c, (q31_t)0xdaa1da29, (q31_t)0x7a6ab963, (q31_t)0xda9bd7c7, (q31_t)0x7a68e35e, (q31_t)0xda95d57d,
+  (q31_t)0x7a670d0d, (q31_t)0xda8fd349, (q31_t)0x7a653671, (q31_t)0xda89d12d, (q31_t)0x7a635f8a, (q31_t)0xda83cf28, (q31_t)0x7a618857, (q31_t)0xda7dcd3a,
+  (q31_t)0x7a5fb0d8, (q31_t)0xda77cb63, (q31_t)0x7a5dd90e, (q31_t)0xda71c9a3, (q31_t)0x7a5c00f9, (q31_t)0xda6bc7fa, (q31_t)0x7a5a2898, (q31_t)0xda65c669,
+  (q31_t)0x7a584feb, (q31_t)0xda5fc4ef, (q31_t)0x7a5676f3, (q31_t)0xda59c38c, (q31_t)0x7a549db0, (q31_t)0xda53c240, (q31_t)0x7a52c421, (q31_t)0xda4dc10b,
+  (q31_t)0x7a50ea47, (q31_t)0xda47bfee, (q31_t)0x7a4f1021, (q31_t)0xda41bee8, (q31_t)0x7a4d35b0, (q31_t)0xda3bbdf9, (q31_t)0x7a4b5af3, (q31_t)0xda35bd22,
+  (q31_t)0x7a497feb, (q31_t)0xda2fbc61, (q31_t)0x7a47a498, (q31_t)0xda29bbb9, (q31_t)0x7a45c8f9, (q31_t)0xda23bb27, (q31_t)0x7a43ed0e, (q31_t)0xda1dbaad,
+  (q31_t)0x7a4210d8, (q31_t)0xda17ba4a, (q31_t)0x7a403457, (q31_t)0xda11b9ff, (q31_t)0x7a3e578b, (q31_t)0xda0bb9cb, (q31_t)0x7a3c7a73, (q31_t)0xda05b9ae,
+  (q31_t)0x7a3a9d0f, (q31_t)0xd9ffb9a9, (q31_t)0x7a38bf60, (q31_t)0xd9f9b9bb, (q31_t)0x7a36e166, (q31_t)0xd9f3b9e5, (q31_t)0x7a350321, (q31_t)0xd9edba26,
+  (q31_t)0x7a332490, (q31_t)0xd9e7ba7f, (q31_t)0x7a3145b3, (q31_t)0xd9e1baef, (q31_t)0x7a2f668c, (q31_t)0xd9dbbb77, (q31_t)0x7a2d8719, (q31_t)0xd9d5bc16,
+  (q31_t)0x7a2ba75a, (q31_t)0xd9cfbccd, (q31_t)0x7a29c750, (q31_t)0xd9c9bd9b, (q31_t)0x7a27e6fb, (q31_t)0xd9c3be81, (q31_t)0x7a26065b, (q31_t)0xd9bdbf7e,
+  (q31_t)0x7a24256f, (q31_t)0xd9b7c094, (q31_t)0x7a224437, (q31_t)0xd9b1c1c0, (q31_t)0x7a2062b5, (q31_t)0xd9abc305, (q31_t)0x7a1e80e7, (q31_t)0xd9a5c461,
+  (q31_t)0x7a1c9ece, (q31_t)0xd99fc5d4, (q31_t)0x7a1abc69, (q31_t)0xd999c75f, (q31_t)0x7a18d9b9, (q31_t)0xd993c902, (q31_t)0x7a16f6be, (q31_t)0xd98dcabd,
+  (q31_t)0x7a151378, (q31_t)0xd987cc90, (q31_t)0x7a132fe6, (q31_t)0xd981ce7a, (q31_t)0x7a114c09, (q31_t)0xd97bd07c, (q31_t)0x7a0f67e0, (q31_t)0xd975d295,
+  (q31_t)0x7a0d836d, (q31_t)0xd96fd4c7, (q31_t)0x7a0b9eae, (q31_t)0xd969d710, (q31_t)0x7a09b9a4, (q31_t)0xd963d971, (q31_t)0x7a07d44e, (q31_t)0xd95ddbea,
+  (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x7a0408c1, (q31_t)0xd951e123, (q31_t)0x7a02228a, (q31_t)0xd94be3e3, (q31_t)0x7a003c07, (q31_t)0xd945e6bb,
+  (q31_t)0x79fe5539, (q31_t)0xd93fe9ab, (q31_t)0x79fc6e20, (q31_t)0xd939ecb3, (q31_t)0x79fa86bc, (q31_t)0xd933efd3, (q31_t)0x79f89f0c, (q31_t)0xd92df30b,
+  (q31_t)0x79f6b711, (q31_t)0xd927f65b, (q31_t)0x79f4cecb, (q31_t)0xd921f9c3, (q31_t)0x79f2e63a, (q31_t)0xd91bfd43, (q31_t)0x79f0fd5d, (q31_t)0xd91600da,
+  (q31_t)0x79ef1436, (q31_t)0xd910048a, (q31_t)0x79ed2ac3, (q31_t)0xd90a0852, (q31_t)0x79eb4105, (q31_t)0xd9040c32, (q31_t)0x79e956fb, (q31_t)0xd8fe1029,
+  (q31_t)0x79e76ca7, (q31_t)0xd8f81439, (q31_t)0x79e58207, (q31_t)0xd8f21861, (q31_t)0x79e3971c, (q31_t)0xd8ec1ca1, (q31_t)0x79e1abe6, (q31_t)0xd8e620fa,
+  (q31_t)0x79dfc064, (q31_t)0xd8e0256a, (q31_t)0x79ddd498, (q31_t)0xd8da29f2, (q31_t)0x79dbe880, (q31_t)0xd8d42e93, (q31_t)0x79d9fc1d, (q31_t)0xd8ce334c,
+  (q31_t)0x79d80f6f, (q31_t)0xd8c8381d, (q31_t)0x79d62276, (q31_t)0xd8c23d06, (q31_t)0x79d43532, (q31_t)0xd8bc4207, (q31_t)0x79d247a2, (q31_t)0xd8b64720,
+  (q31_t)0x79d059c8, (q31_t)0xd8b04c52, (q31_t)0x79ce6ba2, (q31_t)0xd8aa519c, (q31_t)0x79cc7d31, (q31_t)0xd8a456ff, (q31_t)0x79ca8e75, (q31_t)0xd89e5c79,
+  (q31_t)0x79c89f6e, (q31_t)0xd898620c, (q31_t)0x79c6b01b, (q31_t)0xd89267b7, (q31_t)0x79c4c07e, (q31_t)0xd88c6d7b, (q31_t)0x79c2d095, (q31_t)0xd8867356,
+  (q31_t)0x79c0e062, (q31_t)0xd880794b, (q31_t)0x79beefe3, (q31_t)0xd87a7f57, (q31_t)0x79bcff19, (q31_t)0xd874857c, (q31_t)0x79bb0e04, (q31_t)0xd86e8bb9,
+  (q31_t)0x79b91ca4, (q31_t)0xd868920f, (q31_t)0x79b72af9, (q31_t)0xd862987d, (q31_t)0x79b53903, (q31_t)0xd85c9f04, (q31_t)0x79b346c2, (q31_t)0xd856a5a3,
+  (q31_t)0x79b15435, (q31_t)0xd850ac5a, (q31_t)0x79af615e, (q31_t)0xd84ab32a, (q31_t)0x79ad6e3c, (q31_t)0xd844ba13, (q31_t)0x79ab7ace, (q31_t)0xd83ec114,
+  (q31_t)0x79a98715, (q31_t)0xd838c82d, (q31_t)0x79a79312, (q31_t)0xd832cf5f, (q31_t)0x79a59ec3, (q31_t)0xd82cd6aa, (q31_t)0x79a3aa29, (q31_t)0xd826de0d,
+  (q31_t)0x79a1b545, (q31_t)0xd820e589, (q31_t)0x799fc015, (q31_t)0xd81aed1d, (q31_t)0x799dca9a, (q31_t)0xd814f4ca, (q31_t)0x799bd4d4, (q31_t)0xd80efc8f,
+  (q31_t)0x7999dec4, (q31_t)0xd809046e, (q31_t)0x7997e868, (q31_t)0xd8030c64, (q31_t)0x7995f1c1, (q31_t)0xd7fd1474, (q31_t)0x7993facf, (q31_t)0xd7f71c9c,
+  (q31_t)0x79920392, (q31_t)0xd7f124dd, (q31_t)0x79900c0a, (q31_t)0xd7eb2d37, (q31_t)0x798e1438, (q31_t)0xd7e535a9, (q31_t)0x798c1c1a, (q31_t)0xd7df3e34,
+  (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x79882afd, (q31_t)0xd7d34f94, (q31_t)0x798631ff, (q31_t)0xd7cd586a, (q31_t)0x798438b5, (q31_t)0xd7c76158,
+  (q31_t)0x79823f20, (q31_t)0xd7c16a5f, (q31_t)0x79804541, (q31_t)0xd7bb737f, (q31_t)0x797e4b16, (q31_t)0xd7b57cb7, (q31_t)0x797c50a1, (q31_t)0xd7af8609,
+  (q31_t)0x797a55e0, (q31_t)0xd7a98f73, (q31_t)0x79785ad5, (q31_t)0xd7a398f6, (q31_t)0x79765f7f, (q31_t)0xd79da293, (q31_t)0x797463de, (q31_t)0xd797ac48,
+  (q31_t)0x797267f2, (q31_t)0xd791b616, (q31_t)0x79706bbb, (q31_t)0xd78bbffc, (q31_t)0x796e6f39, (q31_t)0xd785c9fc, (q31_t)0x796c726c, (q31_t)0xd77fd415,
+  (q31_t)0x796a7554, (q31_t)0xd779de47, (q31_t)0x796877f1, (q31_t)0xd773e892, (q31_t)0x79667a44, (q31_t)0xd76df2f6, (q31_t)0x79647c4c, (q31_t)0xd767fd72,
+  (q31_t)0x79627e08, (q31_t)0xd7620808, (q31_t)0x79607f7a, (q31_t)0xd75c12b7, (q31_t)0x795e80a1, (q31_t)0xd7561d7f, (q31_t)0x795c817d, (q31_t)0xd7502860,
+  (q31_t)0x795a820e, (q31_t)0xd74a335b, (q31_t)0x79588255, (q31_t)0xd7443e6e, (q31_t)0x79568250, (q31_t)0xd73e499a, (q31_t)0x79548201, (q31_t)0xd73854e0,
+  (q31_t)0x79528167, (q31_t)0xd732603f, (q31_t)0x79508082, (q31_t)0xd72c6bb6, (q31_t)0x794e7f52, (q31_t)0xd7267748, (q31_t)0x794c7dd7, (q31_t)0xd72082f2,
+  (q31_t)0x794a7c12, (q31_t)0xd71a8eb5, (q31_t)0x79487a01, (q31_t)0xd7149a92, (q31_t)0x794677a6, (q31_t)0xd70ea688, (q31_t)0x79447500, (q31_t)0xd708b297,
+  (q31_t)0x79427210, (q31_t)0xd702bec0, (q31_t)0x79406ed4, (q31_t)0xd6fccb01, (q31_t)0x793e6b4e, (q31_t)0xd6f6d75d, (q31_t)0x793c677d, (q31_t)0xd6f0e3d1,
+  (q31_t)0x793a6361, (q31_t)0xd6eaf05f, (q31_t)0x79385efa, (q31_t)0xd6e4fd06, (q31_t)0x79365a49, (q31_t)0xd6df09c6, (q31_t)0x7934554d, (q31_t)0xd6d916a0,
+  (q31_t)0x79325006, (q31_t)0xd6d32393, (q31_t)0x79304a74, (q31_t)0xd6cd30a0, (q31_t)0x792e4497, (q31_t)0xd6c73dc6, (q31_t)0x792c3e70, (q31_t)0xd6c14b05,
+  (q31_t)0x792a37fe, (q31_t)0xd6bb585e, (q31_t)0x79283141, (q31_t)0xd6b565d0, (q31_t)0x79262a3a, (q31_t)0xd6af735c, (q31_t)0x792422e8, (q31_t)0xd6a98101,
+  (q31_t)0x79221b4b, (q31_t)0xd6a38ec0, (q31_t)0x79201363, (q31_t)0xd69d9c98, (q31_t)0x791e0b31, (q31_t)0xd697aa8a, (q31_t)0x791c02b4, (q31_t)0xd691b895,
+  (q31_t)0x7919f9ec, (q31_t)0xd68bc6ba, (q31_t)0x7917f0d9, (q31_t)0xd685d4f9, (q31_t)0x7915e77c, (q31_t)0xd67fe351, (q31_t)0x7913ddd4, (q31_t)0xd679f1c2,
+  (q31_t)0x7911d3e2, (q31_t)0xd674004e, (q31_t)0x790fc9a4, (q31_t)0xd66e0ef2, (q31_t)0x790dbf1d, (q31_t)0xd6681db1, (q31_t)0x790bb44a, (q31_t)0xd6622c89,
+  (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, (q31_t)0x79079dc5, (q31_t)0xd6564a87, (q31_t)0x79059212, (q31_t)0xd65059ac, (q31_t)0x79038615, (q31_t)0xd64a68eb,
+  (q31_t)0x790179cd, (q31_t)0xd6447844, (q31_t)0x78ff6d3b, (q31_t)0xd63e87b6, (q31_t)0x78fd605d, (q31_t)0xd6389742, (q31_t)0x78fb5336, (q31_t)0xd632a6e8,
+  (q31_t)0x78f945c3, (q31_t)0xd62cb6a8, (q31_t)0x78f73806, (q31_t)0xd626c681, (q31_t)0x78f529fe, (q31_t)0xd620d675, (q31_t)0x78f31bac, (q31_t)0xd61ae682,
+  (q31_t)0x78f10d0f, (q31_t)0xd614f6a9, (q31_t)0x78eefe28, (q31_t)0xd60f06ea, (q31_t)0x78eceef6, (q31_t)0xd6091745, (q31_t)0x78eadf79, (q31_t)0xd60327b9,
+  (q31_t)0x78e8cfb2, (q31_t)0xd5fd3848, (q31_t)0x78e6bfa0, (q31_t)0xd5f748f0, (q31_t)0x78e4af44, (q31_t)0xd5f159b3, (q31_t)0x78e29e9d, (q31_t)0xd5eb6a8f,
+  (q31_t)0x78e08dab, (q31_t)0xd5e57b85, (q31_t)0x78de7c6f, (q31_t)0xd5df8c96, (q31_t)0x78dc6ae8, (q31_t)0xd5d99dc0, (q31_t)0x78da5917, (q31_t)0xd5d3af04,
+  (q31_t)0x78d846fb, (q31_t)0xd5cdc062, (q31_t)0x78d63495, (q31_t)0xd5c7d1db, (q31_t)0x78d421e4, (q31_t)0xd5c1e36d, (q31_t)0x78d20ee9, (q31_t)0xd5bbf519,
+  (q31_t)0x78cffba3, (q31_t)0xd5b606e0, (q31_t)0x78cde812, (q31_t)0xd5b018c0, (q31_t)0x78cbd437, (q31_t)0xd5aa2abb, (q31_t)0x78c9c012, (q31_t)0xd5a43cd0,
+  (q31_t)0x78c7aba2, (q31_t)0xd59e4eff, (q31_t)0x78c596e7, (q31_t)0xd5986148, (q31_t)0x78c381e2, (q31_t)0xd59273ab, (q31_t)0x78c16c93, (q31_t)0xd58c8628,
+  (q31_t)0x78bf56f9, (q31_t)0xd58698c0, (q31_t)0x78bd4114, (q31_t)0xd580ab72, (q31_t)0x78bb2ae5, (q31_t)0xd57abe3d, (q31_t)0x78b9146c, (q31_t)0xd574d124,
+  (q31_t)0x78b6fda8, (q31_t)0xd56ee424, (q31_t)0x78b4e69a, (q31_t)0xd568f73f, (q31_t)0x78b2cf41, (q31_t)0xd5630a74, (q31_t)0x78b0b79e, (q31_t)0xd55d1dc3,
+  (q31_t)0x78ae9fb0, (q31_t)0xd557312d, (q31_t)0x78ac8778, (q31_t)0xd55144b0, (q31_t)0x78aa6ef5, (q31_t)0xd54b584f, (q31_t)0x78a85628, (q31_t)0xd5456c07,
+  (q31_t)0x78a63d11, (q31_t)0xd53f7fda, (q31_t)0x78a423af, (q31_t)0xd53993c7, (q31_t)0x78a20a03, (q31_t)0xd533a7cf, (q31_t)0x789ff00c, (q31_t)0xd52dbbf1,
+  (q31_t)0x789dd5cb, (q31_t)0xd527d02e, (q31_t)0x789bbb3f, (q31_t)0xd521e484, (q31_t)0x7899a06a, (q31_t)0xd51bf8f6, (q31_t)0x78978549, (q31_t)0xd5160d82,
+  (q31_t)0x789569df, (q31_t)0xd5102228, (q31_t)0x78934e2a, (q31_t)0xd50a36e9, (q31_t)0x7891322a, (q31_t)0xd5044bc4, (q31_t)0x788f15e0, (q31_t)0xd4fe60ba,
+  (q31_t)0x788cf94c, (q31_t)0xd4f875ca, (q31_t)0x788adc6e, (q31_t)0xd4f28af5, (q31_t)0x7888bf45, (q31_t)0xd4eca03a, (q31_t)0x7886a1d1, (q31_t)0xd4e6b59a,
+  (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x7882660c, (q31_t)0xd4dae0aa, (q31_t)0x788047ba, (q31_t)0xd4d4f65a, (q31_t)0x787e291d, (q31_t)0xd4cf0c24,
+  (q31_t)0x787c0a36, (q31_t)0xd4c92209, (q31_t)0x7879eb05, (q31_t)0xd4c33809, (q31_t)0x7877cb89, (q31_t)0xd4bd4e23, (q31_t)0x7875abc3, (q31_t)0xd4b76458,
+  (q31_t)0x78738bb3, (q31_t)0xd4b17aa8, (q31_t)0x78716b59, (q31_t)0xd4ab9112, (q31_t)0x786f4ab4, (q31_t)0xd4a5a798, (q31_t)0x786d29c5, (q31_t)0xd49fbe37,
+  (q31_t)0x786b088c, (q31_t)0xd499d4f2, (q31_t)0x7868e708, (q31_t)0xd493ebc8, (q31_t)0x7866c53a, (q31_t)0xd48e02b8, (q31_t)0x7864a322, (q31_t)0xd48819c3,
+  (q31_t)0x786280bf, (q31_t)0xd48230e9, (q31_t)0x78605e13, (q31_t)0xd47c4829, (q31_t)0x785e3b1c, (q31_t)0xd4765f85, (q31_t)0x785c17db, (q31_t)0xd47076fb,
+  (q31_t)0x7859f44f, (q31_t)0xd46a8e8d, (q31_t)0x7857d079, (q31_t)0xd464a639, (q31_t)0x7855ac5a, (q31_t)0xd45ebe00, (q31_t)0x785387ef, (q31_t)0xd458d5e2,
+  (q31_t)0x7851633b, (q31_t)0xd452eddf, (q31_t)0x784f3e3c, (q31_t)0xd44d05f6, (q31_t)0x784d18f4, (q31_t)0xd4471e29, (q31_t)0x784af361, (q31_t)0xd4413677,
+  (q31_t)0x7848cd83, (q31_t)0xd43b4ee0, (q31_t)0x7846a75c, (q31_t)0xd4356763, (q31_t)0x784480ea, (q31_t)0xd42f8002, (q31_t)0x78425a2f, (q31_t)0xd42998bc,
+  (q31_t)0x78403329, (q31_t)0xd423b191, (q31_t)0x783e0bd9, (q31_t)0xd41dca81, (q31_t)0x783be43e, (q31_t)0xd417e38c, (q31_t)0x7839bc5a, (q31_t)0xd411fcb2,
+  (q31_t)0x7837942b, (q31_t)0xd40c15f3, (q31_t)0x78356bb2, (q31_t)0xd4062f4f, (q31_t)0x783342ef, (q31_t)0xd40048c6, (q31_t)0x783119e2, (q31_t)0xd3fa6259,
+  (q31_t)0x782ef08b, (q31_t)0xd3f47c06, (q31_t)0x782cc6ea, (q31_t)0xd3ee95cf, (q31_t)0x782a9cfe, (q31_t)0xd3e8afb3, (q31_t)0x782872c8, (q31_t)0xd3e2c9b2,
+  (q31_t)0x78264849, (q31_t)0xd3dce3cd, (q31_t)0x78241d7f, (q31_t)0xd3d6fe03, (q31_t)0x7821f26b, (q31_t)0xd3d11853, (q31_t)0x781fc70d, (q31_t)0xd3cb32c0,
+  (q31_t)0x781d9b65, (q31_t)0xd3c54d47, (q31_t)0x781b6f72, (q31_t)0xd3bf67ea, (q31_t)0x78194336, (q31_t)0xd3b982a8, (q31_t)0x781716b0, (q31_t)0xd3b39d81,
+  (q31_t)0x7814e9df, (q31_t)0xd3adb876, (q31_t)0x7812bcc4, (q31_t)0xd3a7d385, (q31_t)0x78108f60, (q31_t)0xd3a1eeb1, (q31_t)0x780e61b1, (q31_t)0xd39c09f7,
+  (q31_t)0x780c33b8, (q31_t)0xd396255a, (q31_t)0x780a0575, (q31_t)0xd39040d7, (q31_t)0x7807d6e9, (q31_t)0xd38a5c70, (q31_t)0x7805a812, (q31_t)0xd3847824,
+  (q31_t)0x780378f1, (q31_t)0xd37e93f4, (q31_t)0x78014986, (q31_t)0xd378afdf, (q31_t)0x77ff19d1, (q31_t)0xd372cbe6, (q31_t)0x77fce9d2, (q31_t)0xd36ce808,
+  (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x77f888f6, (q31_t)0xd361209f, (q31_t)0x77f65819, (q31_t)0xd35b3d13, (q31_t)0x77f426f2, (q31_t)0xd35559a4,
+  (q31_t)0x77f1f581, (q31_t)0xd34f764f, (q31_t)0x77efc3c5, (q31_t)0xd3499317, (q31_t)0x77ed91c0, (q31_t)0xd343affa, (q31_t)0x77eb5f71, (q31_t)0xd33dccf8,
+  (q31_t)0x77e92cd9, (q31_t)0xd337ea12, (q31_t)0x77e6f9f6, (q31_t)0xd3320748, (q31_t)0x77e4c6c9, (q31_t)0xd32c2499, (q31_t)0x77e29352, (q31_t)0xd3264206,
+  (q31_t)0x77e05f91, (q31_t)0xd3205f8f, (q31_t)0x77de2b86, (q31_t)0xd31a7d33, (q31_t)0x77dbf732, (q31_t)0xd3149af3, (q31_t)0x77d9c293, (q31_t)0xd30eb8cf,
+  (q31_t)0x77d78daa, (q31_t)0xd308d6c7, (q31_t)0x77d55878, (q31_t)0xd302f4da, (q31_t)0x77d322fc, (q31_t)0xd2fd1309, (q31_t)0x77d0ed35, (q31_t)0xd2f73154,
+  (q31_t)0x77ceb725, (q31_t)0xd2f14fba, (q31_t)0x77cc80cb, (q31_t)0xd2eb6e3c, (q31_t)0x77ca4a27, (q31_t)0xd2e58cdb, (q31_t)0x77c81339, (q31_t)0xd2dfab95,
+  (q31_t)0x77c5dc01, (q31_t)0xd2d9ca6a, (q31_t)0x77c3a47f, (q31_t)0xd2d3e95c, (q31_t)0x77c16cb4, (q31_t)0xd2ce0869, (q31_t)0x77bf349f, (q31_t)0xd2c82793,
+  (q31_t)0x77bcfc3f, (q31_t)0xd2c246d8, (q31_t)0x77bac396, (q31_t)0xd2bc6639, (q31_t)0x77b88aa3, (q31_t)0xd2b685b6, (q31_t)0x77b65166, (q31_t)0xd2b0a54f,
+  (q31_t)0x77b417df, (q31_t)0xd2aac504, (q31_t)0x77b1de0f, (q31_t)0xd2a4e4d5, (q31_t)0x77afa3f5, (q31_t)0xd29f04c2, (q31_t)0x77ad6990, (q31_t)0xd29924cb,
+  (q31_t)0x77ab2ee2, (q31_t)0xd29344f0, (q31_t)0x77a8f3ea, (q31_t)0xd28d6531, (q31_t)0x77a6b8a9, (q31_t)0xd287858e, (q31_t)0x77a47d1d, (q31_t)0xd281a607,
+  (q31_t)0x77a24148, (q31_t)0xd27bc69c, (q31_t)0x77a00529, (q31_t)0xd275e74d, (q31_t)0x779dc8c0, (q31_t)0xd270081b, (q31_t)0x779b8c0e, (q31_t)0xd26a2904,
+  (q31_t)0x77994f11, (q31_t)0xd2644a0a, (q31_t)0x779711cb, (q31_t)0xd25e6b2b, (q31_t)0x7794d43b, (q31_t)0xd2588c69, (q31_t)0x77929661, (q31_t)0xd252adc3,
+  (q31_t)0x7790583e, (q31_t)0xd24ccf39, (q31_t)0x778e19d0, (q31_t)0xd246f0cb, (q31_t)0x778bdb19, (q31_t)0xd241127a, (q31_t)0x77899c19, (q31_t)0xd23b3444,
+  (q31_t)0x77875cce, (q31_t)0xd235562b, (q31_t)0x77851d3a, (q31_t)0xd22f782f, (q31_t)0x7782dd5c, (q31_t)0xd2299a4e, (q31_t)0x77809d35, (q31_t)0xd223bc8a,
+  (q31_t)0x777e5cc3, (q31_t)0xd21ddee2, (q31_t)0x777c1c08, (q31_t)0xd2180156, (q31_t)0x7779db03, (q31_t)0xd21223e7, (q31_t)0x777799b5, (q31_t)0xd20c4694,
+  (q31_t)0x7775581d, (q31_t)0xd206695d, (q31_t)0x7773163b, (q31_t)0xd2008c43, (q31_t)0x7770d40f, (q31_t)0xd1faaf45, (q31_t)0x776e919a, (q31_t)0xd1f4d263,
+  (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x776a0bd3, (q31_t)0xd1e918f5, (q31_t)0x7767c880, (q31_t)0xd1e33c69, (q31_t)0x776584e5, (q31_t)0xd1dd5ff9,
+  (q31_t)0x776340ff, (q31_t)0xd1d783a6, (q31_t)0x7760fcd0, (q31_t)0xd1d1a76f, (q31_t)0x775eb857, (q31_t)0xd1cbcb54, (q31_t)0x775c7395, (q31_t)0xd1c5ef56,
+  (q31_t)0x775a2e89, (q31_t)0xd1c01375, (q31_t)0x7757e933, (q31_t)0xd1ba37b0, (q31_t)0x7755a394, (q31_t)0xd1b45c08, (q31_t)0x77535dab, (q31_t)0xd1ae807c,
+  (q31_t)0x77511778, (q31_t)0xd1a8a50d, (q31_t)0x774ed0fc, (q31_t)0xd1a2c9ba, (q31_t)0x774c8a36, (q31_t)0xd19cee84, (q31_t)0x774a4327, (q31_t)0xd197136b,
+  (q31_t)0x7747fbce, (q31_t)0xd191386e, (q31_t)0x7745b42c, (q31_t)0xd18b5d8e, (q31_t)0x77436c40, (q31_t)0xd18582ca, (q31_t)0x7741240a, (q31_t)0xd17fa823,
+  (q31_t)0x773edb8b, (q31_t)0xd179cd99, (q31_t)0x773c92c2, (q31_t)0xd173f32c, (q31_t)0x773a49b0, (q31_t)0xd16e18db, (q31_t)0x77380054, (q31_t)0xd1683ea7,
+  (q31_t)0x7735b6af, (q31_t)0xd1626490, (q31_t)0x77336cc0, (q31_t)0xd15c8a95, (q31_t)0x77312287, (q31_t)0xd156b0b7, (q31_t)0x772ed805, (q31_t)0xd150d6f6,
+  (q31_t)0x772c8d3a, (q31_t)0xd14afd52, (q31_t)0x772a4225, (q31_t)0xd14523cb, (q31_t)0x7727f6c6, (q31_t)0xd13f4a60, (q31_t)0x7725ab1f, (q31_t)0xd1397113,
+  (q31_t)0x77235f2d, (q31_t)0xd13397e2, (q31_t)0x772112f2, (q31_t)0xd12dbece, (q31_t)0x771ec66e, (q31_t)0xd127e5d7, (q31_t)0x771c79a0, (q31_t)0xd1220cfc,
+  (q31_t)0x771a2c88, (q31_t)0xd11c343f, (q31_t)0x7717df27, (q31_t)0xd1165b9f, (q31_t)0x7715917d, (q31_t)0xd110831b, (q31_t)0x77134389, (q31_t)0xd10aaab5,
+  (q31_t)0x7710f54c, (q31_t)0xd104d26b, (q31_t)0x770ea6c5, (q31_t)0xd0fefa3f, (q31_t)0x770c57f5, (q31_t)0xd0f9222f, (q31_t)0x770a08dc, (q31_t)0xd0f34a3d,
+  (q31_t)0x7707b979, (q31_t)0xd0ed7267, (q31_t)0x770569cc, (q31_t)0xd0e79aaf, (q31_t)0x770319d6, (q31_t)0xd0e1c313, (q31_t)0x7700c997, (q31_t)0xd0dbeb95,
+  (q31_t)0x76fe790e, (q31_t)0xd0d61434, (q31_t)0x76fc283c, (q31_t)0xd0d03cf0, (q31_t)0x76f9d721, (q31_t)0xd0ca65c9, (q31_t)0x76f785bc, (q31_t)0xd0c48ebf,
+  (q31_t)0x76f5340e, (q31_t)0xd0beb7d2, (q31_t)0x76f2e216, (q31_t)0xd0b8e102, (q31_t)0x76f08fd5, (q31_t)0xd0b30a50, (q31_t)0x76ee3d4b, (q31_t)0xd0ad33ba,
+  (q31_t)0x76ebea77, (q31_t)0xd0a75d42, (q31_t)0x76e9975a, (q31_t)0xd0a186e7, (q31_t)0x76e743f4, (q31_t)0xd09bb0aa, (q31_t)0x76e4f044, (q31_t)0xd095da89,
+  (q31_t)0x76e29c4b, (q31_t)0xd0900486, (q31_t)0x76e04808, (q31_t)0xd08a2ea0, (q31_t)0x76ddf37c, (q31_t)0xd08458d7, (q31_t)0x76db9ea7, (q31_t)0xd07e832c,
+  (q31_t)0x76d94989, (q31_t)0xd078ad9e, (q31_t)0x76d6f421, (q31_t)0xd072d82d, (q31_t)0x76d49e70, (q31_t)0xd06d02da, (q31_t)0x76d24876, (q31_t)0xd0672da3,
+  (q31_t)0x76cff232, (q31_t)0xd061588b, (q31_t)0x76cd9ba5, (q31_t)0xd05b838f, (q31_t)0x76cb44cf, (q31_t)0xd055aeb1, (q31_t)0x76c8edb0, (q31_t)0xd04fd9f1,
+  (q31_t)0x76c69647, (q31_t)0xd04a054e, (q31_t)0x76c43e95, (q31_t)0xd04430c8, (q31_t)0x76c1e699, (q31_t)0xd03e5c60, (q31_t)0x76bf8e55, (q31_t)0xd0388815,
+  (q31_t)0x76bd35c7, (q31_t)0xd032b3e7, (q31_t)0x76badcf0, (q31_t)0xd02cdfd8, (q31_t)0x76b883d0, (q31_t)0xd0270be5, (q31_t)0x76b62a66, (q31_t)0xd0213810,
+  (q31_t)0x76b3d0b4, (q31_t)0xd01b6459, (q31_t)0x76b176b8, (q31_t)0xd01590bf, (q31_t)0x76af1c72, (q31_t)0xd00fbd43, (q31_t)0x76acc1e4, (q31_t)0xd009e9e4,
+  (q31_t)0x76aa670d, (q31_t)0xd00416a3, (q31_t)0x76a80bec, (q31_t)0xcffe4380, (q31_t)0x76a5b082, (q31_t)0xcff8707a, (q31_t)0x76a354cf, (q31_t)0xcff29d92,
+  (q31_t)0x76a0f8d2, (q31_t)0xcfeccac7, (q31_t)0x769e9c8d, (q31_t)0xcfe6f81a, (q31_t)0x769c3ffe, (q31_t)0xcfe1258b, (q31_t)0x7699e326, (q31_t)0xcfdb531a,
+  (q31_t)0x76978605, (q31_t)0xcfd580c6, (q31_t)0x7695289b, (q31_t)0xcfcfae8f, (q31_t)0x7692cae8, (q31_t)0xcfc9dc77, (q31_t)0x76906ceb, (q31_t)0xcfc40a7c,
+  (q31_t)0x768e0ea6, (q31_t)0xcfbe389f, (q31_t)0x768bb017, (q31_t)0xcfb866e0, (q31_t)0x7689513f, (q31_t)0xcfb2953f, (q31_t)0x7686f21e, (q31_t)0xcfacc3bb,
+  (q31_t)0x768492b4, (q31_t)0xcfa6f255, (q31_t)0x76823301, (q31_t)0xcfa1210d, (q31_t)0x767fd304, (q31_t)0xcf9b4fe3, (q31_t)0x767d72bf, (q31_t)0xcf957ed7,
+  (q31_t)0x767b1231, (q31_t)0xcf8fade9, (q31_t)0x7678b159, (q31_t)0xcf89dd18, (q31_t)0x76765038, (q31_t)0xcf840c65, (q31_t)0x7673eecf, (q31_t)0xcf7e3bd1,
+  (q31_t)0x76718d1c, (q31_t)0xcf786b5a, (q31_t)0x766f2b20, (q31_t)0xcf729b01, (q31_t)0x766cc8db, (q31_t)0xcf6ccac6, (q31_t)0x766a664d, (q31_t)0xcf66faa9,
+  (q31_t)0x76680376, (q31_t)0xcf612aaa, (q31_t)0x7665a056, (q31_t)0xcf5b5ac9, (q31_t)0x76633ced, (q31_t)0xcf558b06, (q31_t)0x7660d93b, (q31_t)0xcf4fbb61,
+  (q31_t)0x765e7540, (q31_t)0xcf49ebda, (q31_t)0x765c10fc, (q31_t)0xcf441c71, (q31_t)0x7659ac6f, (q31_t)0xcf3e4d26, (q31_t)0x76574798, (q31_t)0xcf387dfa,
+  (q31_t)0x7654e279, (q31_t)0xcf32aeeb, (q31_t)0x76527d11, (q31_t)0xcf2cdffa, (q31_t)0x76501760, (q31_t)0xcf271128, (q31_t)0x764db166, (q31_t)0xcf214274,
+  (q31_t)0x764b4b23, (q31_t)0xcf1b73de, (q31_t)0x7648e497, (q31_t)0xcf15a566, (q31_t)0x76467dc2, (q31_t)0xcf0fd70c, (q31_t)0x764416a4, (q31_t)0xcf0a08d0,
+  (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x763f478d, (q31_t)0xcefe6cb3, (q31_t)0x763cdf94, (q31_t)0xcef89ed2, (q31_t)0x763a7752, (q31_t)0xcef2d110,
+  (q31_t)0x76380ec8, (q31_t)0xceed036b, (q31_t)0x7635a5f4, (q31_t)0xcee735e5, (q31_t)0x76333cd8, (q31_t)0xcee1687d, (q31_t)0x7630d372, (q31_t)0xcedb9b33,
+  (q31_t)0x762e69c4, (q31_t)0xced5ce08, (q31_t)0x762bffcd, (q31_t)0xced000fb, (q31_t)0x7629958c, (q31_t)0xceca340c, (q31_t)0x76272b03, (q31_t)0xcec4673c,
+  (q31_t)0x7624c031, (q31_t)0xcebe9a8a, (q31_t)0x76225517, (q31_t)0xceb8cdf7, (q31_t)0x761fe9b3, (q31_t)0xceb30181, (q31_t)0x761d7e06, (q31_t)0xcead352b,
+  (q31_t)0x761b1211, (q31_t)0xcea768f2, (q31_t)0x7618a5d3, (q31_t)0xcea19cd8, (q31_t)0x7616394c, (q31_t)0xce9bd0dd, (q31_t)0x7613cc7c, (q31_t)0xce960500,
+  (q31_t)0x76115f63, (q31_t)0xce903942, (q31_t)0x760ef201, (q31_t)0xce8a6da2, (q31_t)0x760c8457, (q31_t)0xce84a220, (q31_t)0x760a1664, (q31_t)0xce7ed6bd,
+  (q31_t)0x7607a828, (q31_t)0xce790b79, (q31_t)0x760539a3, (q31_t)0xce734053, (q31_t)0x7602cad5, (q31_t)0xce6d754c, (q31_t)0x76005bbf, (q31_t)0xce67aa63,
+  (q31_t)0x75fdec60, (q31_t)0xce61df99, (q31_t)0x75fb7cb8, (q31_t)0xce5c14ed, (q31_t)0x75f90cc7, (q31_t)0xce564a60, (q31_t)0x75f69c8d, (q31_t)0xce507ff2,
+  (q31_t)0x75f42c0b, (q31_t)0xce4ab5a2, (q31_t)0x75f1bb40, (q31_t)0xce44eb71, (q31_t)0x75ef4a2c, (q31_t)0xce3f215f, (q31_t)0x75ecd8cf, (q31_t)0xce39576c,
+  (q31_t)0x75ea672a, (q31_t)0xce338d97, (q31_t)0x75e7f53c, (q31_t)0xce2dc3e1, (q31_t)0x75e58305, (q31_t)0xce27fa49, (q31_t)0x75e31086, (q31_t)0xce2230d0,
+  (q31_t)0x75e09dbd, (q31_t)0xce1c6777, (q31_t)0x75de2aac, (q31_t)0xce169e3b, (q31_t)0x75dbb753, (q31_t)0xce10d51f, (q31_t)0x75d943b0, (q31_t)0xce0b0c21,
+  (q31_t)0x75d6cfc5, (q31_t)0xce054343, (q31_t)0x75d45b92, (q31_t)0xcdff7a83, (q31_t)0x75d1e715, (q31_t)0xcdf9b1e2, (q31_t)0x75cf7250, (q31_t)0xcdf3e95f,
+  (q31_t)0x75ccfd42, (q31_t)0xcdee20fc, (q31_t)0x75ca87ec, (q31_t)0xcde858b8, (q31_t)0x75c8124d, (q31_t)0xcde29092, (q31_t)0x75c59c65, (q31_t)0xcddcc88b,
+  (q31_t)0x75c32634, (q31_t)0xcdd700a4, (q31_t)0x75c0afbb, (q31_t)0xcdd138db, (q31_t)0x75be38fa, (q31_t)0xcdcb7131, (q31_t)0x75bbc1ef, (q31_t)0xcdc5a9a6,
+  (q31_t)0x75b94a9c, (q31_t)0xcdbfe23a, (q31_t)0x75b6d301, (q31_t)0xcdba1aee, (q31_t)0x75b45b1d, (q31_t)0xcdb453c0, (q31_t)0x75b1e2f0, (q31_t)0xcdae8cb1,
+  (q31_t)0x75af6a7b, (q31_t)0xcda8c5c1, (q31_t)0x75acf1bd, (q31_t)0xcda2fef0, (q31_t)0x75aa78b6, (q31_t)0xcd9d383f, (q31_t)0x75a7ff67, (q31_t)0xcd9771ac,
+  (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x75a30bef, (q31_t)0xcd8be4e4, (q31_t)0x75a091c6, (q31_t)0xcd861eaf, (q31_t)0x759e1755, (q31_t)0xcd805899,
+  (q31_t)0x759b9c9b, (q31_t)0xcd7a92a2, (q31_t)0x75992198, (q31_t)0xcd74ccca, (q31_t)0x7596a64d, (q31_t)0xcd6f0711, (q31_t)0x75942ab9, (q31_t)0xcd694178,
+  (q31_t)0x7591aedd, (q31_t)0xcd637bfe, (q31_t)0x758f32b9, (q31_t)0xcd5db6a3, (q31_t)0x758cb64c, (q31_t)0xcd57f167, (q31_t)0x758a3996, (q31_t)0xcd522c4a,
+  (q31_t)0x7587bc98, (q31_t)0xcd4c674d, (q31_t)0x75853f51, (q31_t)0xcd46a26f, (q31_t)0x7582c1c2, (q31_t)0xcd40ddb0, (q31_t)0x758043ea, (q31_t)0xcd3b1911,
+  (q31_t)0x757dc5ca, (q31_t)0xcd355491, (q31_t)0x757b4762, (q31_t)0xcd2f9030, (q31_t)0x7578c8b0, (q31_t)0xcd29cbee, (q31_t)0x757649b7, (q31_t)0xcd2407cc,
+  (q31_t)0x7573ca75, (q31_t)0xcd1e43ca, (q31_t)0x75714aea, (q31_t)0xcd187fe6, (q31_t)0x756ecb18, (q31_t)0xcd12bc22, (q31_t)0x756c4afc, (q31_t)0xcd0cf87e,
+  (q31_t)0x7569ca99, (q31_t)0xcd0734f9, (q31_t)0x756749ec, (q31_t)0xcd017193, (q31_t)0x7564c8f8, (q31_t)0xccfbae4d, (q31_t)0x756247bb, (q31_t)0xccf5eb26,
+  (q31_t)0x755fc635, (q31_t)0xccf0281f, (q31_t)0x755d4467, (q31_t)0xccea6538, (q31_t)0x755ac251, (q31_t)0xcce4a26f, (q31_t)0x75583ff3, (q31_t)0xccdedfc7,
+  (q31_t)0x7555bd4c, (q31_t)0xccd91d3d, (q31_t)0x75533a5c, (q31_t)0xccd35ad4, (q31_t)0x7550b725, (q31_t)0xcccd988a, (q31_t)0x754e33a4, (q31_t)0xccc7d65f,
+  (q31_t)0x754bafdc, (q31_t)0xccc21455, (q31_t)0x75492bcb, (q31_t)0xccbc5269, (q31_t)0x7546a772, (q31_t)0xccb6909e, (q31_t)0x754422d0, (q31_t)0xccb0cef2,
+  (q31_t)0x75419de7, (q31_t)0xccab0d65, (q31_t)0x753f18b4, (q31_t)0xcca54bf9, (q31_t)0x753c933a, (q31_t)0xcc9f8aac, (q31_t)0x753a0d77, (q31_t)0xcc99c97e,
+  (q31_t)0x7537876c, (q31_t)0xcc940871, (q31_t)0x75350118, (q31_t)0xcc8e4783, (q31_t)0x75327a7d, (q31_t)0xcc8886b5, (q31_t)0x752ff399, (q31_t)0xcc82c607,
+  (q31_t)0x752d6c6c, (q31_t)0xcc7d0578, (q31_t)0x752ae4f8, (q31_t)0xcc774509, (q31_t)0x75285d3b, (q31_t)0xcc7184ba, (q31_t)0x7525d536, (q31_t)0xcc6bc48b,
+  (q31_t)0x75234ce8, (q31_t)0xcc66047b, (q31_t)0x7520c453, (q31_t)0xcc60448c, (q31_t)0x751e3b75, (q31_t)0xcc5a84bc, (q31_t)0x751bb24f, (q31_t)0xcc54c50c,
+  (q31_t)0x751928e0, (q31_t)0xcc4f057c, (q31_t)0x75169f2a, (q31_t)0xcc49460c, (q31_t)0x7514152b, (q31_t)0xcc4386bc, (q31_t)0x75118ae4, (q31_t)0xcc3dc78b,
+  (q31_t)0x750f0054, (q31_t)0xcc38087b, (q31_t)0x750c757d, (q31_t)0xcc32498a, (q31_t)0x7509ea5d, (q31_t)0xcc2c8aba, (q31_t)0x75075ef5, (q31_t)0xcc26cc09,
+  (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x7502474d, (q31_t)0xcc1b4f08, (q31_t)0x74ffbb0d, (q31_t)0xcc1590b8, (q31_t)0x74fd2e84, (q31_t)0xcc0fd287,
+  (q31_t)0x74faa1b3, (q31_t)0xcc0a1477, (q31_t)0x74f8149a, (q31_t)0xcc045686, (q31_t)0x74f58739, (q31_t)0xcbfe98b6, (q31_t)0x74f2f990, (q31_t)0xcbf8db05,
+  (q31_t)0x74f06b9e, (q31_t)0xcbf31d75, (q31_t)0x74eddd65, (q31_t)0xcbed6005, (q31_t)0x74eb4ee3, (q31_t)0xcbe7a2b5, (q31_t)0x74e8c01a, (q31_t)0xcbe1e585,
+  (q31_t)0x74e63108, (q31_t)0xcbdc2876, (q31_t)0x74e3a1ae, (q31_t)0xcbd66b86, (q31_t)0x74e1120c, (q31_t)0xcbd0aeb7, (q31_t)0x74de8221, (q31_t)0xcbcaf208,
+  (q31_t)0x74dbf1ef, (q31_t)0xcbc53579, (q31_t)0x74d96175, (q31_t)0xcbbf790a, (q31_t)0x74d6d0b2, (q31_t)0xcbb9bcbb, (q31_t)0x74d43fa8, (q31_t)0xcbb4008d,
+  (q31_t)0x74d1ae55, (q31_t)0xcbae447f, (q31_t)0x74cf1cbb, (q31_t)0xcba88891, (q31_t)0x74cc8ad8, (q31_t)0xcba2ccc4, (q31_t)0x74c9f8ad, (q31_t)0xcb9d1117,
+  (q31_t)0x74c7663a, (q31_t)0xcb97558a, (q31_t)0x74c4d380, (q31_t)0xcb919a1d, (q31_t)0x74c2407d, (q31_t)0xcb8bded1, (q31_t)0x74bfad32, (q31_t)0xcb8623a5,
+  (q31_t)0x74bd199f, (q31_t)0xcb80689a, (q31_t)0x74ba85c4, (q31_t)0xcb7aadaf, (q31_t)0x74b7f1a1, (q31_t)0xcb74f2e4, (q31_t)0x74b55d36, (q31_t)0xcb6f383a,
+  (q31_t)0x74b2c884, (q31_t)0xcb697db0, (q31_t)0x74b03389, (q31_t)0xcb63c347, (q31_t)0x74ad9e46, (q31_t)0xcb5e08fe, (q31_t)0x74ab08bb, (q31_t)0xcb584ed6,
+  (q31_t)0x74a872e8, (q31_t)0xcb5294ce, (q31_t)0x74a5dccd, (q31_t)0xcb4cdae6, (q31_t)0x74a3466b, (q31_t)0xcb47211f, (q31_t)0x74a0afc0, (q31_t)0xcb416779,
+  (q31_t)0x749e18cd, (q31_t)0xcb3badf3, (q31_t)0x749b8193, (q31_t)0xcb35f48d, (q31_t)0x7498ea11, (q31_t)0xcb303b49, (q31_t)0x74965246, (q31_t)0xcb2a8224,
+  (q31_t)0x7493ba34, (q31_t)0xcb24c921, (q31_t)0x749121da, (q31_t)0xcb1f103e, (q31_t)0x748e8938, (q31_t)0xcb19577b, (q31_t)0x748bf04d, (q31_t)0xcb139ed9,
+  (q31_t)0x7489571c, (q31_t)0xcb0de658, (q31_t)0x7486bda2, (q31_t)0xcb082df8, (q31_t)0x748423e0, (q31_t)0xcb0275b8, (q31_t)0x748189d7, (q31_t)0xcafcbd99,
+  (q31_t)0x747eef85, (q31_t)0xcaf7059a, (q31_t)0x747c54ec, (q31_t)0xcaf14dbd, (q31_t)0x7479ba0b, (q31_t)0xcaeb9600, (q31_t)0x74771ee2, (q31_t)0xcae5de64,
+  (q31_t)0x74748371, (q31_t)0xcae026e8, (q31_t)0x7471e7b8, (q31_t)0xcada6f8d, (q31_t)0x746f4bb8, (q31_t)0xcad4b853, (q31_t)0x746caf70, (q31_t)0xcacf013a,
+  (q31_t)0x746a12df, (q31_t)0xcac94a42, (q31_t)0x74677608, (q31_t)0xcac3936b, (q31_t)0x7464d8e8, (q31_t)0xcabddcb4, (q31_t)0x74623b80, (q31_t)0xcab8261e,
+  (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, (q31_t)0x745cffda, (q31_t)0xcaacb955, (q31_t)0x745a619b, (q31_t)0xcaa70322, (q31_t)0x7457c314, (q31_t)0xcaa14d10,
+  (q31_t)0x74552446, (q31_t)0xca9b971e, (q31_t)0x74528530, (q31_t)0xca95e14e, (q31_t)0x744fe5d2, (q31_t)0xca902b9f, (q31_t)0x744d462c, (q31_t)0xca8a7610,
+  (q31_t)0x744aa63f, (q31_t)0xca84c0a3, (q31_t)0x7448060a, (q31_t)0xca7f0b56, (q31_t)0x7445658d, (q31_t)0xca79562b, (q31_t)0x7442c4c8, (q31_t)0xca73a120,
+  (q31_t)0x744023bc, (q31_t)0xca6dec37, (q31_t)0x743d8268, (q31_t)0xca68376e, (q31_t)0x743ae0cc, (q31_t)0xca6282c7, (q31_t)0x74383ee9, (q31_t)0xca5cce40,
+  (q31_t)0x74359cbd, (q31_t)0xca5719db, (q31_t)0x7432fa4b, (q31_t)0xca516597, (q31_t)0x74305790, (q31_t)0xca4bb174, (q31_t)0x742db48e, (q31_t)0xca45fd72,
+  (q31_t)0x742b1144, (q31_t)0xca404992, (q31_t)0x74286db3, (q31_t)0xca3a95d2, (q31_t)0x7425c9da, (q31_t)0xca34e234, (q31_t)0x742325b9, (q31_t)0xca2f2eb6,
+  (q31_t)0x74208150, (q31_t)0xca297b5a, (q31_t)0x741ddca0, (q31_t)0xca23c820, (q31_t)0x741b37a9, (q31_t)0xca1e1506, (q31_t)0x74189269, (q31_t)0xca18620e,
+  (q31_t)0x7415ece2, (q31_t)0xca12af37, (q31_t)0x74134714, (q31_t)0xca0cfc81, (q31_t)0x7410a0fe, (q31_t)0xca0749ec, (q31_t)0x740dfaa0, (q31_t)0xca019779,
+  (q31_t)0x740b53fb, (q31_t)0xc9fbe527, (q31_t)0x7408ad0e, (q31_t)0xc9f632f6, (q31_t)0x740605d9, (q31_t)0xc9f080e7, (q31_t)0x74035e5d, (q31_t)0xc9eacef9,
+  (q31_t)0x7400b69a, (q31_t)0xc9e51d2d, (q31_t)0x73fe0e8f, (q31_t)0xc9df6b81, (q31_t)0x73fb663c, (q31_t)0xc9d9b9f7, (q31_t)0x73f8bda2, (q31_t)0xc9d4088f,
+  (q31_t)0x73f614c0, (q31_t)0xc9ce5748, (q31_t)0x73f36b97, (q31_t)0xc9c8a622, (q31_t)0x73f0c226, (q31_t)0xc9c2f51e, (q31_t)0x73ee186e, (q31_t)0xc9bd443c,
+  (q31_t)0x73eb6e6e, (q31_t)0xc9b7937a, (q31_t)0x73e8c426, (q31_t)0xc9b1e2db, (q31_t)0x73e61997, (q31_t)0xc9ac325d, (q31_t)0x73e36ec1, (q31_t)0xc9a68200,
+  (q31_t)0x73e0c3a3, (q31_t)0xc9a0d1c5, (q31_t)0x73de183e, (q31_t)0xc99b21ab, (q31_t)0x73db6c91, (q31_t)0xc99571b3, (q31_t)0x73d8c09d, (q31_t)0xc98fc1dc,
+  (q31_t)0x73d61461, (q31_t)0xc98a1227, (q31_t)0x73d367de, (q31_t)0xc9846294, (q31_t)0x73d0bb13, (q31_t)0xc97eb322, (q31_t)0x73ce0e01, (q31_t)0xc97903d2,
+  (q31_t)0x73cb60a8, (q31_t)0xc97354a4, (q31_t)0x73c8b307, (q31_t)0xc96da597, (q31_t)0x73c6051f, (q31_t)0xc967f6ac, (q31_t)0x73c356ef, (q31_t)0xc96247e2,
+  (q31_t)0x73c0a878, (q31_t)0xc95c993a, (q31_t)0x73bdf9b9, (q31_t)0xc956eab4, (q31_t)0x73bb4ab3, (q31_t)0xc9513c50, (q31_t)0x73b89b66, (q31_t)0xc94b8e0d,
+  (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x73b33bf5, (q31_t)0xc94031ed, (q31_t)0x73b08bd1, (q31_t)0xc93a8410, (q31_t)0x73addb67, (q31_t)0xc934d654,
+  (q31_t)0x73ab2ab4, (q31_t)0xc92f28ba, (q31_t)0x73a879bb, (q31_t)0xc9297b42, (q31_t)0x73a5c87a, (q31_t)0xc923cdec, (q31_t)0x73a316f2, (q31_t)0xc91e20b8,
+  (q31_t)0x73a06522, (q31_t)0xc91873a5, (q31_t)0x739db30b, (q31_t)0xc912c6b5, (q31_t)0x739b00ad, (q31_t)0xc90d19e6, (q31_t)0x73984e07, (q31_t)0xc9076d39,
+  (q31_t)0x73959b1b, (q31_t)0xc901c0ae, (q31_t)0x7392e7e6, (q31_t)0xc8fc1445, (q31_t)0x7390346b, (q31_t)0xc8f667fe, (q31_t)0x738d80a8, (q31_t)0xc8f0bbd9,
+  (q31_t)0x738acc9e, (q31_t)0xc8eb0fd6, (q31_t)0x7388184d, (q31_t)0xc8e563f5, (q31_t)0x738563b5, (q31_t)0xc8dfb836, (q31_t)0x7382aed5, (q31_t)0xc8da0c99,
+  (q31_t)0x737ff9ae, (q31_t)0xc8d4611d, (q31_t)0x737d4440, (q31_t)0xc8ceb5c4, (q31_t)0x737a8e8a, (q31_t)0xc8c90a8d, (q31_t)0x7377d88d, (q31_t)0xc8c35f78,
+  (q31_t)0x73752249, (q31_t)0xc8bdb485, (q31_t)0x73726bbe, (q31_t)0xc8b809b4, (q31_t)0x736fb4ec, (q31_t)0xc8b25f06, (q31_t)0x736cfdd2, (q31_t)0xc8acb479,
+  (q31_t)0x736a4671, (q31_t)0xc8a70a0e, (q31_t)0x73678ec9, (q31_t)0xc8a15fc6, (q31_t)0x7364d6da, (q31_t)0xc89bb5a0, (q31_t)0x73621ea4, (q31_t)0xc8960b9c,
+  (q31_t)0x735f6626, (q31_t)0xc89061ba, (q31_t)0x735cad61, (q31_t)0xc88ab7fa, (q31_t)0x7359f456, (q31_t)0xc8850e5d, (q31_t)0x73573b03, (q31_t)0xc87f64e2,
+  (q31_t)0x73548168, (q31_t)0xc879bb89, (q31_t)0x7351c787, (q31_t)0xc8741252, (q31_t)0x734f0d5f, (q31_t)0xc86e693d, (q31_t)0x734c52ef, (q31_t)0xc868c04b,
+  (q31_t)0x73499838, (q31_t)0xc863177b, (q31_t)0x7346dd3a, (q31_t)0xc85d6ece, (q31_t)0x734421f6, (q31_t)0xc857c642, (q31_t)0x7341666a, (q31_t)0xc8521dd9,
+  (q31_t)0x733eaa96, (q31_t)0xc84c7593, (q31_t)0x733bee7c, (q31_t)0xc846cd6e, (q31_t)0x7339321b, (q31_t)0xc841256d, (q31_t)0x73367572, (q31_t)0xc83b7d8d,
+  (q31_t)0x7333b883, (q31_t)0xc835d5d0, (q31_t)0x7330fb4d, (q31_t)0xc8302e35, (q31_t)0x732e3dcf, (q31_t)0xc82a86bd, (q31_t)0x732b800a, (q31_t)0xc824df67,
+  (q31_t)0x7328c1ff, (q31_t)0xc81f3834, (q31_t)0x732603ac, (q31_t)0xc8199123, (q31_t)0x73234512, (q31_t)0xc813ea35, (q31_t)0x73208632, (q31_t)0xc80e4369,
+  (q31_t)0x731dc70a, (q31_t)0xc8089cbf, (q31_t)0x731b079b, (q31_t)0xc802f638, (q31_t)0x731847e5, (q31_t)0xc7fd4fd4, (q31_t)0x731587e8, (q31_t)0xc7f7a992,
+  (q31_t)0x7312c7a5, (q31_t)0xc7f20373, (q31_t)0x7310071a, (q31_t)0xc7ec5d76, (q31_t)0x730d4648, (q31_t)0xc7e6b79c, (q31_t)0x730a8530, (q31_t)0xc7e111e5,
+  (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x73050229, (q31_t)0xc7d5c6de, (q31_t)0x7302403c, (q31_t)0xc7d0218e, (q31_t)0x72ff7e07, (q31_t)0xc7ca7c61,
+  (q31_t)0x72fcbb8c, (q31_t)0xc7c4d757, (q31_t)0x72f9f8c9, (q31_t)0xc7bf3270, (q31_t)0x72f735c0, (q31_t)0xc7b98dab, (q31_t)0x72f47270, (q31_t)0xc7b3e909,
+  (q31_t)0x72f1aed9, (q31_t)0xc7ae4489, (q31_t)0x72eeeafb, (q31_t)0xc7a8a02c, (q31_t)0x72ec26d6, (q31_t)0xc7a2fbf3, (q31_t)0x72e9626a, (q31_t)0xc79d57db,
+  (q31_t)0x72e69db7, (q31_t)0xc797b3e7, (q31_t)0x72e3d8be, (q31_t)0xc7921015, (q31_t)0x72e1137d, (q31_t)0xc78c6c67, (q31_t)0x72de4df6, (q31_t)0xc786c8db,
+  (q31_t)0x72db8828, (q31_t)0xc7812572, (q31_t)0x72d8c213, (q31_t)0xc77b822b, (q31_t)0x72d5fbb7, (q31_t)0xc775df08, (q31_t)0x72d33514, (q31_t)0xc7703c08,
+  (q31_t)0x72d06e2b, (q31_t)0xc76a992a, (q31_t)0x72cda6fb, (q31_t)0xc764f66f, (q31_t)0x72cadf83, (q31_t)0xc75f53d7, (q31_t)0x72c817c6, (q31_t)0xc759b163,
+  (q31_t)0x72c54fc1, (q31_t)0xc7540f11, (q31_t)0x72c28775, (q31_t)0xc74e6ce2, (q31_t)0x72bfbee3, (q31_t)0xc748cad6, (q31_t)0x72bcf60a, (q31_t)0xc74328ed,
+  (q31_t)0x72ba2cea, (q31_t)0xc73d8727, (q31_t)0x72b76383, (q31_t)0xc737e584, (q31_t)0x72b499d6, (q31_t)0xc7324404, (q31_t)0x72b1cfe1, (q31_t)0xc72ca2a7,
+  (q31_t)0x72af05a7, (q31_t)0xc727016d, (q31_t)0x72ac3b25, (q31_t)0xc7216056, (q31_t)0x72a9705c, (q31_t)0xc71bbf62, (q31_t)0x72a6a54d, (q31_t)0xc7161e92,
+  (q31_t)0x72a3d9f7, (q31_t)0xc7107de4, (q31_t)0x72a10e5b, (q31_t)0xc70add5a, (q31_t)0x729e4277, (q31_t)0xc7053cf2, (q31_t)0x729b764d, (q31_t)0xc6ff9cae,
+  (q31_t)0x7298a9dd, (q31_t)0xc6f9fc8d, (q31_t)0x7295dd25, (q31_t)0xc6f45c8f, (q31_t)0x72931027, (q31_t)0xc6eebcb5, (q31_t)0x729042e3, (q31_t)0xc6e91cfd,
+  (q31_t)0x728d7557, (q31_t)0xc6e37d69, (q31_t)0x728aa785, (q31_t)0xc6ddddf8, (q31_t)0x7287d96c, (q31_t)0xc6d83eab, (q31_t)0x72850b0d, (q31_t)0xc6d29f80,
+  (q31_t)0x72823c67, (q31_t)0xc6cd0079, (q31_t)0x727f6d7a, (q31_t)0xc6c76195, (q31_t)0x727c9e47, (q31_t)0xc6c1c2d4, (q31_t)0x7279cecd, (q31_t)0xc6bc2437,
+  (q31_t)0x7276ff0d, (q31_t)0xc6b685bd, (q31_t)0x72742f05, (q31_t)0xc6b0e767, (q31_t)0x72715eb8, (q31_t)0xc6ab4933, (q31_t)0x726e8e23, (q31_t)0xc6a5ab23,
+  (q31_t)0x726bbd48, (q31_t)0xc6a00d37, (q31_t)0x7268ec27, (q31_t)0xc69a6f6e, (q31_t)0x72661abf, (q31_t)0xc694d1c8, (q31_t)0x72634910, (q31_t)0xc68f3446,
+  (q31_t)0x7260771b, (q31_t)0xc68996e7, (q31_t)0x725da4df, (q31_t)0xc683f9ab, (q31_t)0x725ad25d, (q31_t)0xc67e5c93, (q31_t)0x7257ff94, (q31_t)0xc678bf9f,
+  (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x7252592f, (q31_t)0xc66d8620, (q31_t)0x724f8593, (q31_t)0xc667e996, (q31_t)0x724cb1b0, (q31_t)0xc6624d30,
+  (q31_t)0x7249dd86, (q31_t)0xc65cb0ed, (q31_t)0x72470916, (q31_t)0xc65714cd, (q31_t)0x72443460, (q31_t)0xc65178d1, (q31_t)0x72415f63, (q31_t)0xc64bdcf9,
+  (q31_t)0x723e8a20, (q31_t)0xc6464144, (q31_t)0x723bb496, (q31_t)0xc640a5b3, (q31_t)0x7238dec5, (q31_t)0xc63b0a46, (q31_t)0x723608af, (q31_t)0xc6356efc,
+  (q31_t)0x72333251, (q31_t)0xc62fd3d6, (q31_t)0x72305bae, (q31_t)0xc62a38d4, (q31_t)0x722d84c4, (q31_t)0xc6249df5, (q31_t)0x722aad93, (q31_t)0xc61f033a,
+  (q31_t)0x7227d61c, (q31_t)0xc61968a2, (q31_t)0x7224fe5f, (q31_t)0xc613ce2f, (q31_t)0x7222265b, (q31_t)0xc60e33df, (q31_t)0x721f4e11, (q31_t)0xc60899b2,
+  (q31_t)0x721c7580, (q31_t)0xc602ffaa, (q31_t)0x72199ca9, (q31_t)0xc5fd65c5, (q31_t)0x7216c38c, (q31_t)0xc5f7cc04, (q31_t)0x7213ea28, (q31_t)0xc5f23267,
+  (q31_t)0x7211107e, (q31_t)0xc5ec98ee, (q31_t)0x720e368d, (q31_t)0xc5e6ff98, (q31_t)0x720b5c57, (q31_t)0xc5e16667, (q31_t)0x720881d9, (q31_t)0xc5dbcd59,
+  (q31_t)0x7205a716, (q31_t)0xc5d6346f, (q31_t)0x7202cc0c, (q31_t)0xc5d09ba9, (q31_t)0x71fff0bc, (q31_t)0xc5cb0307, (q31_t)0x71fd1525, (q31_t)0xc5c56a89,
+  (q31_t)0x71fa3949, (q31_t)0xc5bfd22e, (q31_t)0x71f75d25, (q31_t)0xc5ba39f8, (q31_t)0x71f480bc, (q31_t)0xc5b4a1e5, (q31_t)0x71f1a40c, (q31_t)0xc5af09f7,
+  (q31_t)0x71eec716, (q31_t)0xc5a9722c, (q31_t)0x71ebe9da, (q31_t)0xc5a3da86, (q31_t)0x71e90c57, (q31_t)0xc59e4303, (q31_t)0x71e62e8f, (q31_t)0xc598aba5,
+  (q31_t)0x71e35080, (q31_t)0xc593146a, (q31_t)0x71e0722a, (q31_t)0xc58d7d54, (q31_t)0x71dd938f, (q31_t)0xc587e661, (q31_t)0x71dab4ad, (q31_t)0xc5824f93,
+  (q31_t)0x71d7d585, (q31_t)0xc57cb8e9, (q31_t)0x71d4f617, (q31_t)0xc5772263, (q31_t)0x71d21662, (q31_t)0xc5718c00, (q31_t)0x71cf3667, (q31_t)0xc56bf5c2,
+  (q31_t)0x71cc5626, (q31_t)0xc5665fa9, (q31_t)0x71c9759f, (q31_t)0xc560c9b3, (q31_t)0x71c694d2, (q31_t)0xc55b33e2, (q31_t)0x71c3b3bf, (q31_t)0xc5559e34,
+  (q31_t)0x71c0d265, (q31_t)0xc55008ab, (q31_t)0x71bdf0c5, (q31_t)0xc54a7346, (q31_t)0x71bb0edf, (q31_t)0xc544de05, (q31_t)0x71b82cb3, (q31_t)0xc53f48e9,
+  (q31_t)0x71b54a41, (q31_t)0xc539b3f1, (q31_t)0x71b26788, (q31_t)0xc5341f1d, (q31_t)0x71af848a, (q31_t)0xc52e8a6d, (q31_t)0x71aca145, (q31_t)0xc528f5e1,
+  (q31_t)0x71a9bdba, (q31_t)0xc523617a, (q31_t)0x71a6d9e9, (q31_t)0xc51dcd37, (q31_t)0x71a3f5d2, (q31_t)0xc5183919, (q31_t)0x71a11175, (q31_t)0xc512a51f,
+  (q31_t)0x719e2cd2, (q31_t)0xc50d1149, (q31_t)0x719b47e9, (q31_t)0xc5077d97, (q31_t)0x719862b9, (q31_t)0xc501ea0a, (q31_t)0x71957d44, (q31_t)0xc4fc56a2,
+  (q31_t)0x71929789, (q31_t)0xc4f6c35d, (q31_t)0x718fb187, (q31_t)0xc4f1303d, (q31_t)0x718ccb3f, (q31_t)0xc4eb9d42, (q31_t)0x7189e4b2, (q31_t)0xc4e60a6b,
+  (q31_t)0x7186fdde, (q31_t)0xc4e077b8, (q31_t)0x718416c4, (q31_t)0xc4dae52a, (q31_t)0x71812f65, (q31_t)0xc4d552c1, (q31_t)0x717e47bf, (q31_t)0xc4cfc07c,
+  (q31_t)0x717b5fd3, (q31_t)0xc4ca2e5b, (q31_t)0x717877a1, (q31_t)0xc4c49c5f, (q31_t)0x71758f29, (q31_t)0xc4bf0a87, (q31_t)0x7172a66c, (q31_t)0xc4b978d4,
+  (q31_t)0x716fbd68, (q31_t)0xc4b3e746, (q31_t)0x716cd41e, (q31_t)0xc4ae55dc, (q31_t)0x7169ea8f, (q31_t)0xc4a8c497, (q31_t)0x716700b9, (q31_t)0xc4a33376,
+  (q31_t)0x7164169d, (q31_t)0xc49da27a, (q31_t)0x71612c3c, (q31_t)0xc49811a3, (q31_t)0x715e4194, (q31_t)0xc49280f0, (q31_t)0x715b56a7, (q31_t)0xc48cf062,
+  (q31_t)0x71586b74, (q31_t)0xc4875ff9, (q31_t)0x71557ffa, (q31_t)0xc481cfb4, (q31_t)0x7152943b, (q31_t)0xc47c3f94, (q31_t)0x714fa836, (q31_t)0xc476af98,
+  (q31_t)0x714cbbeb, (q31_t)0xc4711fc2, (q31_t)0x7149cf5a, (q31_t)0xc46b9010, (q31_t)0x7146e284, (q31_t)0xc4660083, (q31_t)0x7143f567, (q31_t)0xc460711b,
+  (q31_t)0x71410805, (q31_t)0xc45ae1d7, (q31_t)0x713e1a5c, (q31_t)0xc45552b8, (q31_t)0x713b2c6e, (q31_t)0xc44fc3be, (q31_t)0x71383e3a, (q31_t)0xc44a34e9,
+  (q31_t)0x71354fc0, (q31_t)0xc444a639, (q31_t)0x71326101, (q31_t)0xc43f17ad, (q31_t)0x712f71fb, (q31_t)0xc4398947, (q31_t)0x712c82b0, (q31_t)0xc433fb05,
+  (q31_t)0x7129931f, (q31_t)0xc42e6ce8, (q31_t)0x7126a348, (q31_t)0xc428def0, (q31_t)0x7123b32b, (q31_t)0xc423511d, (q31_t)0x7120c2c8, (q31_t)0xc41dc36f,
+  (q31_t)0x711dd220, (q31_t)0xc41835e6, (q31_t)0x711ae132, (q31_t)0xc412a882, (q31_t)0x7117effe, (q31_t)0xc40d1b42, (q31_t)0x7114fe84, (q31_t)0xc4078e28,
+  (q31_t)0x71120cc5, (q31_t)0xc4020133, (q31_t)0x710f1ac0, (q31_t)0xc3fc7462, (q31_t)0x710c2875, (q31_t)0xc3f6e7b7, (q31_t)0x710935e4, (q31_t)0xc3f15b31,
+  (q31_t)0x7106430e, (q31_t)0xc3ebced0, (q31_t)0x71034ff2, (q31_t)0xc3e64294, (q31_t)0x71005c90, (q31_t)0xc3e0b67d, (q31_t)0x70fd68e9, (q31_t)0xc3db2a8b,
+  (q31_t)0x70fa74fc, (q31_t)0xc3d59ebe, (q31_t)0x70f780c9, (q31_t)0xc3d01316, (q31_t)0x70f48c50, (q31_t)0xc3ca8793, (q31_t)0x70f19792, (q31_t)0xc3c4fc36,
+  (q31_t)0x70eea28e, (q31_t)0xc3bf70fd, (q31_t)0x70ebad45, (q31_t)0xc3b9e5ea, (q31_t)0x70e8b7b5, (q31_t)0xc3b45afc, (q31_t)0x70e5c1e1, (q31_t)0xc3aed034,
+  (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x70dfd566, (q31_t)0xc3a3bb12, (q31_t)0x70dcdec0, (q31_t)0xc39e30b8, (q31_t)0x70d9e7d5, (q31_t)0xc398a685,
+  (q31_t)0x70d6f0a4, (q31_t)0xc3931c76, (q31_t)0x70d3f92d, (q31_t)0xc38d928d, (q31_t)0x70d10171, (q31_t)0xc38808c9, (q31_t)0x70ce096f, (q31_t)0xc3827f2a,
+  (q31_t)0x70cb1128, (q31_t)0xc37cf5b0, (q31_t)0x70c8189b, (q31_t)0xc3776c5c, (q31_t)0x70c51fc8, (q31_t)0xc371e32d, (q31_t)0x70c226b0, (q31_t)0xc36c5a24,
+  (q31_t)0x70bf2d53, (q31_t)0xc366d140, (q31_t)0x70bc33b0, (q31_t)0xc3614881, (q31_t)0x70b939c7, (q31_t)0xc35bbfe8, (q31_t)0x70b63f99, (q31_t)0xc3563774,
+  (q31_t)0x70b34525, (q31_t)0xc350af26, (q31_t)0x70b04a6b, (q31_t)0xc34b26fc, (q31_t)0x70ad4f6d, (q31_t)0xc3459ef9, (q31_t)0x70aa5428, (q31_t)0xc340171b,
+  (q31_t)0x70a7589f, (q31_t)0xc33a8f62, (q31_t)0x70a45ccf, (q31_t)0xc33507cf, (q31_t)0x70a160ba, (q31_t)0xc32f8061, (q31_t)0x709e6460, (q31_t)0xc329f919,
+  (q31_t)0x709b67c0, (q31_t)0xc32471f7, (q31_t)0x70986adb, (q31_t)0xc31eeaf9, (q31_t)0x70956db1, (q31_t)0xc3196422, (q31_t)0x70927041, (q31_t)0xc313dd70,
+  (q31_t)0x708f728b, (q31_t)0xc30e56e4, (q31_t)0x708c7490, (q31_t)0xc308d07d, (q31_t)0x70897650, (q31_t)0xc3034a3c, (q31_t)0x708677ca, (q31_t)0xc2fdc420,
+  (q31_t)0x708378ff, (q31_t)0xc2f83e2a, (q31_t)0x708079ee, (q31_t)0xc2f2b85a, (q31_t)0x707d7a98, (q31_t)0xc2ed32af, (q31_t)0x707a7afd, (q31_t)0xc2e7ad2a,
+  (q31_t)0x70777b1c, (q31_t)0xc2e227cb, (q31_t)0x70747af6, (q31_t)0xc2dca291, (q31_t)0x70717a8a, (q31_t)0xc2d71d7e, (q31_t)0x706e79d9, (q31_t)0xc2d1988f,
+  (q31_t)0x706b78e3, (q31_t)0xc2cc13c7, (q31_t)0x706877a7, (q31_t)0xc2c68f24, (q31_t)0x70657626, (q31_t)0xc2c10aa7, (q31_t)0x70627460, (q31_t)0xc2bb8650,
+  (q31_t)0x705f7255, (q31_t)0xc2b6021f, (q31_t)0x705c7004, (q31_t)0xc2b07e14, (q31_t)0x70596d6d, (q31_t)0xc2aafa2e, (q31_t)0x70566a92, (q31_t)0xc2a5766e,
+  (q31_t)0x70536771, (q31_t)0xc29ff2d4, (q31_t)0x7050640b, (q31_t)0xc29a6f60, (q31_t)0x704d6060, (q31_t)0xc294ec12, (q31_t)0x704a5c6f, (q31_t)0xc28f68e9,
+  (q31_t)0x70475839, (q31_t)0xc289e5e7, (q31_t)0x704453be, (q31_t)0xc284630a, (q31_t)0x70414efd, (q31_t)0xc27ee054, (q31_t)0x703e49f8, (q31_t)0xc2795dc3,
+  (q31_t)0x703b44ad, (q31_t)0xc273db58, (q31_t)0x70383f1d, (q31_t)0xc26e5913, (q31_t)0x70353947, (q31_t)0xc268d6f5, (q31_t)0x7032332d, (q31_t)0xc26354fc,
+  (q31_t)0x702f2ccd, (q31_t)0xc25dd329, (q31_t)0x702c2628, (q31_t)0xc258517c, (q31_t)0x70291f3e, (q31_t)0xc252cff5, (q31_t)0x7026180e, (q31_t)0xc24d4e95,
+  (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x702008e0, (q31_t)0xc2424c46, (q31_t)0x701d00e1, (q31_t)0xc23ccb57, (q31_t)0x7019f89d, (q31_t)0xc2374a8f,
+  (q31_t)0x7016f014, (q31_t)0xc231c9ec, (q31_t)0x7013e746, (q31_t)0xc22c4970, (q31_t)0x7010de32, (q31_t)0xc226c91a, (q31_t)0x700dd4da, (q31_t)0xc22148ea,
+  (q31_t)0x700acb3c, (q31_t)0xc21bc8e1, (q31_t)0x7007c159, (q31_t)0xc21648fd, (q31_t)0x7004b731, (q31_t)0xc210c940, (q31_t)0x7001acc4, (q31_t)0xc20b49a9,
+  (q31_t)0x6ffea212, (q31_t)0xc205ca38, (q31_t)0x6ffb971b, (q31_t)0xc2004aed, (q31_t)0x6ff88bde, (q31_t)0xc1facbc9, (q31_t)0x6ff5805d, (q31_t)0xc1f54cca,
+  (q31_t)0x6ff27497, (q31_t)0xc1efcdf3, (q31_t)0x6fef688b, (q31_t)0xc1ea4f41, (q31_t)0x6fec5c3b, (q31_t)0xc1e4d0b6, (q31_t)0x6fe94fa5, (q31_t)0xc1df5251,
+  (q31_t)0x6fe642ca, (q31_t)0xc1d9d412, (q31_t)0x6fe335ab, (q31_t)0xc1d455f9, (q31_t)0x6fe02846, (q31_t)0xc1ced807, (q31_t)0x6fdd1a9c, (q31_t)0xc1c95a3c,
+  (q31_t)0x6fda0cae, (q31_t)0xc1c3dc97, (q31_t)0x6fd6fe7a, (q31_t)0xc1be5f18, (q31_t)0x6fd3f001, (q31_t)0xc1b8e1bf, (q31_t)0x6fd0e144, (q31_t)0xc1b3648d,
+  (q31_t)0x6fcdd241, (q31_t)0xc1ade781, (q31_t)0x6fcac2fa, (q31_t)0xc1a86a9c, (q31_t)0x6fc7b36d, (q31_t)0xc1a2edde, (q31_t)0x6fc4a39c, (q31_t)0xc19d7145,
+  (q31_t)0x6fc19385, (q31_t)0xc197f4d4, (q31_t)0x6fbe832a, (q31_t)0xc1927888, (q31_t)0x6fbb728a, (q31_t)0xc18cfc63, (q31_t)0x6fb861a4, (q31_t)0xc1878065,
+  (q31_t)0x6fb5507a, (q31_t)0xc182048d, (q31_t)0x6fb23f0b, (q31_t)0xc17c88dc, (q31_t)0x6faf2d57, (q31_t)0xc1770d52, (q31_t)0x6fac1b5f, (q31_t)0xc17191ee,
+  (q31_t)0x6fa90921, (q31_t)0xc16c16b0, (q31_t)0x6fa5f69e, (q31_t)0xc1669b99, (q31_t)0x6fa2e3d7, (q31_t)0xc16120a9, (q31_t)0x6f9fd0cb, (q31_t)0xc15ba5df,
+  (q31_t)0x6f9cbd79, (q31_t)0xc1562b3d, (q31_t)0x6f99a9e3, (q31_t)0xc150b0c0, (q31_t)0x6f969608, (q31_t)0xc14b366b, (q31_t)0x6f9381e9, (q31_t)0xc145bc3c,
+  (q31_t)0x6f906d84, (q31_t)0xc1404233, (q31_t)0x6f8d58db, (q31_t)0xc13ac852, (q31_t)0x6f8a43ed, (q31_t)0xc1354e97, (q31_t)0x6f872eba, (q31_t)0xc12fd503,
+  (q31_t)0x6f841942, (q31_t)0xc12a5b95, (q31_t)0x6f810386, (q31_t)0xc124e24f, (q31_t)0x6f7ded84, (q31_t)0xc11f692f, (q31_t)0x6f7ad73e, (q31_t)0xc119f036,
+  (q31_t)0x6f77c0b3, (q31_t)0xc1147764, (q31_t)0x6f74a9e4, (q31_t)0xc10efeb8, (q31_t)0x6f7192cf, (q31_t)0xc1098634, (q31_t)0x6f6e7b76, (q31_t)0xc1040dd6,
+  (q31_t)0x6f6b63d8, (q31_t)0xc0fe959f, (q31_t)0x6f684bf6, (q31_t)0xc0f91d8f, (q31_t)0x6f6533ce, (q31_t)0xc0f3a5a6, (q31_t)0x6f621b62, (q31_t)0xc0ee2de3,
+  (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6f5be9bc, (q31_t)0xc0e33ed4, (q31_t)0x6f58d082, (q31_t)0xc0ddc786, (q31_t)0x6f55b703, (q31_t)0xc0d8505f,
+  (q31_t)0x6f529d40, (q31_t)0xc0d2d960, (q31_t)0x6f4f8338, (q31_t)0xc0cd6287, (q31_t)0x6f4c68eb, (q31_t)0xc0c7ebd6, (q31_t)0x6f494e5a, (q31_t)0xc0c2754b,
+  (q31_t)0x6f463383, (q31_t)0xc0bcfee7, (q31_t)0x6f431869, (q31_t)0xc0b788ab, (q31_t)0x6f3ffd09, (q31_t)0xc0b21295, (q31_t)0x6f3ce165, (q31_t)0xc0ac9ca6,
+  (q31_t)0x6f39c57d, (q31_t)0xc0a726df, (q31_t)0x6f36a94f, (q31_t)0xc0a1b13e, (q31_t)0x6f338cde, (q31_t)0xc09c3bc5, (q31_t)0x6f307027, (q31_t)0xc096c673,
+  (q31_t)0x6f2d532c, (q31_t)0xc0915148, (q31_t)0x6f2a35ed, (q31_t)0xc08bdc44, (q31_t)0x6f271868, (q31_t)0xc0866767, (q31_t)0x6f23faa0, (q31_t)0xc080f2b1,
+  (q31_t)0x6f20dc92, (q31_t)0xc07b7e23, (q31_t)0x6f1dbe41, (q31_t)0xc07609bb, (q31_t)0x6f1a9faa, (q31_t)0xc070957b, (q31_t)0x6f1780cf, (q31_t)0xc06b2162,
+  (q31_t)0x6f1461b0, (q31_t)0xc065ad70, (q31_t)0x6f11424c, (q31_t)0xc06039a6, (q31_t)0x6f0e22a3, (q31_t)0xc05ac603, (q31_t)0x6f0b02b6, (q31_t)0xc0555287,
+  (q31_t)0x6f07e285, (q31_t)0xc04fdf32, (q31_t)0x6f04c20f, (q31_t)0xc04a6c05, (q31_t)0x6f01a155, (q31_t)0xc044f8fe, (q31_t)0x6efe8056, (q31_t)0xc03f8620,
+  (q31_t)0x6efb5f12, (q31_t)0xc03a1368, (q31_t)0x6ef83d8a, (q31_t)0xc034a0d8, (q31_t)0x6ef51bbe, (q31_t)0xc02f2e6f, (q31_t)0x6ef1f9ad, (q31_t)0xc029bc2e,
+  (q31_t)0x6eeed758, (q31_t)0xc0244a14, (q31_t)0x6eebb4bf, (q31_t)0xc01ed821, (q31_t)0x6ee891e1, (q31_t)0xc0196656, (q31_t)0x6ee56ebe, (q31_t)0xc013f4b2,
+  (q31_t)0x6ee24b57, (q31_t)0xc00e8336, (q31_t)0x6edf27ac, (q31_t)0xc00911e1, (q31_t)0x6edc03bc, (q31_t)0xc003a0b3, (q31_t)0x6ed8df88, (q31_t)0xbffe2fad,
+  (q31_t)0x6ed5bb10, (q31_t)0xbff8bece, (q31_t)0x6ed29653, (q31_t)0xbff34e17, (q31_t)0x6ecf7152, (q31_t)0xbfeddd88, (q31_t)0x6ecc4c0d, (q31_t)0xbfe86d20,
+  (q31_t)0x6ec92683, (q31_t)0xbfe2fcdf, (q31_t)0x6ec600b5, (q31_t)0xbfdd8cc6, (q31_t)0x6ec2daa2, (q31_t)0xbfd81cd5, (q31_t)0x6ebfb44b, (q31_t)0xbfd2ad0b,
+  (q31_t)0x6ebc8db0, (q31_t)0xbfcd3d69, (q31_t)0x6eb966d1, (q31_t)0xbfc7cdee, (q31_t)0x6eb63fad, (q31_t)0xbfc25e9b, (q31_t)0x6eb31845, (q31_t)0xbfbcef70,
+  (q31_t)0x6eaff099, (q31_t)0xbfb7806c, (q31_t)0x6eacc8a8, (q31_t)0xbfb21190, (q31_t)0x6ea9a073, (q31_t)0xbfaca2dc, (q31_t)0x6ea677fa, (q31_t)0xbfa7344f,
+  (q31_t)0x6ea34f3d, (q31_t)0xbfa1c5ea, (q31_t)0x6ea0263b, (q31_t)0xbf9c57ac, (q31_t)0x6e9cfcf5, (q31_t)0xbf96e997, (q31_t)0x6e99d36b, (q31_t)0xbf917ba9,
+  (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, (q31_t)0x6e937f8a, (q31_t)0xbf86a044, (q31_t)0x6e905534, (q31_t)0xbf8132ce, (q31_t)0x6e8d2a99, (q31_t)0xbf7bc57f,
+  (q31_t)0x6e89ffb9, (q31_t)0xbf765858, (q31_t)0x6e86d496, (q31_t)0xbf70eb59, (q31_t)0x6e83a92f, (q31_t)0xbf6b7e81, (q31_t)0x6e807d83, (q31_t)0xbf6611d2,
+  (q31_t)0x6e7d5193, (q31_t)0xbf60a54a, (q31_t)0x6e7a255f, (q31_t)0xbf5b38ea, (q31_t)0x6e76f8e7, (q31_t)0xbf55ccb2, (q31_t)0x6e73cc2b, (q31_t)0xbf5060a2,
+  (q31_t)0x6e709f2a, (q31_t)0xbf4af4ba, (q31_t)0x6e6d71e6, (q31_t)0xbf4588fa, (q31_t)0x6e6a445d, (q31_t)0xbf401d61, (q31_t)0x6e671690, (q31_t)0xbf3ab1f1,
+  (q31_t)0x6e63e87f, (q31_t)0xbf3546a8, (q31_t)0x6e60ba2a, (q31_t)0xbf2fdb88, (q31_t)0x6e5d8b91, (q31_t)0xbf2a708f, (q31_t)0x6e5a5cb4, (q31_t)0xbf2505bf,
+  (q31_t)0x6e572d93, (q31_t)0xbf1f9b16, (q31_t)0x6e53fe2e, (q31_t)0xbf1a3096, (q31_t)0x6e50ce84, (q31_t)0xbf14c63d, (q31_t)0x6e4d9e97, (q31_t)0xbf0f5c0d,
+  (q31_t)0x6e4a6e66, (q31_t)0xbf09f205, (q31_t)0x6e473df0, (q31_t)0xbf048824, (q31_t)0x6e440d37, (q31_t)0xbeff1e6c, (q31_t)0x6e40dc39, (q31_t)0xbef9b4dc,
+  (q31_t)0x6e3daaf8, (q31_t)0xbef44b74, (q31_t)0x6e3a7972, (q31_t)0xbeeee234, (q31_t)0x6e3747a9, (q31_t)0xbee9791c, (q31_t)0x6e34159b, (q31_t)0xbee4102d,
+  (q31_t)0x6e30e34a, (q31_t)0xbedea765, (q31_t)0x6e2db0b4, (q31_t)0xbed93ec6, (q31_t)0x6e2a7ddb, (q31_t)0xbed3d64f, (q31_t)0x6e274abe, (q31_t)0xbece6e00,
+  (q31_t)0x6e24175c, (q31_t)0xbec905d9, (q31_t)0x6e20e3b7, (q31_t)0xbec39ddb, (q31_t)0x6e1dafce, (q31_t)0xbebe3605, (q31_t)0x6e1a7ba1, (q31_t)0xbeb8ce57,
+  (q31_t)0x6e174730, (q31_t)0xbeb366d1, (q31_t)0x6e14127b, (q31_t)0xbeadff74, (q31_t)0x6e10dd82, (q31_t)0xbea8983f, (q31_t)0x6e0da845, (q31_t)0xbea33132,
+  (q31_t)0x6e0a72c5, (q31_t)0xbe9dca4e, (q31_t)0x6e073d00, (q31_t)0xbe986391, (q31_t)0x6e0406f8, (q31_t)0xbe92fcfe, (q31_t)0x6e00d0ac, (q31_t)0xbe8d9692,
+  (q31_t)0x6dfd9a1c, (q31_t)0xbe88304f, (q31_t)0x6dfa6348, (q31_t)0xbe82ca35, (q31_t)0x6df72c30, (q31_t)0xbe7d6442, (q31_t)0x6df3f4d4, (q31_t)0xbe77fe78,
+  (q31_t)0x6df0bd35, (q31_t)0xbe7298d7, (q31_t)0x6ded8552, (q31_t)0xbe6d335e, (q31_t)0x6dea4d2b, (q31_t)0xbe67ce0d, (q31_t)0x6de714c0, (q31_t)0xbe6268e5,
+  (q31_t)0x6de3dc11, (q31_t)0xbe5d03e6, (q31_t)0x6de0a31f, (q31_t)0xbe579f0f, (q31_t)0x6ddd69e9, (q31_t)0xbe523a60, (q31_t)0x6dda306f, (q31_t)0xbe4cd5da,
+  (q31_t)0x6dd6f6b1, (q31_t)0xbe47717c, (q31_t)0x6dd3bcaf, (q31_t)0xbe420d47, (q31_t)0x6dd0826a, (q31_t)0xbe3ca93b, (q31_t)0x6dcd47e1, (q31_t)0xbe374557,
+  (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6dc6d204, (q31_t)0xbe2c7e09, (q31_t)0x6dc396b0, (q31_t)0xbe271a9f, (q31_t)0x6dc05b18, (q31_t)0xbe21b75d,
+  (q31_t)0x6dbd1f3c, (q31_t)0xbe1c5444, (q31_t)0x6db9e31d, (q31_t)0xbe16f154, (q31_t)0x6db6a6ba, (q31_t)0xbe118e8c, (q31_t)0x6db36a14, (q31_t)0xbe0c2bed,
+  (q31_t)0x6db02d29, (q31_t)0xbe06c977, (q31_t)0x6daceffb, (q31_t)0xbe01672a, (q31_t)0x6da9b28a, (q31_t)0xbdfc0505, (q31_t)0x6da674d5, (q31_t)0xbdf6a309,
+  (q31_t)0x6da336dc, (q31_t)0xbdf14135, (q31_t)0x6d9ff89f, (q31_t)0xbdebdf8b, (q31_t)0x6d9cba1f, (q31_t)0xbde67e09, (q31_t)0x6d997b5b, (q31_t)0xbde11cb0,
+  (q31_t)0x6d963c54, (q31_t)0xbddbbb7f, (q31_t)0x6d92fd09, (q31_t)0xbdd65a78, (q31_t)0x6d8fbd7a, (q31_t)0xbdd0f999, (q31_t)0x6d8c7da8, (q31_t)0xbdcb98e3,
+  (q31_t)0x6d893d93, (q31_t)0xbdc63856, (q31_t)0x6d85fd39, (q31_t)0xbdc0d7f2, (q31_t)0x6d82bc9d, (q31_t)0xbdbb77b7, (q31_t)0x6d7f7bbc, (q31_t)0xbdb617a4,
+  (q31_t)0x6d7c3a98, (q31_t)0xbdb0b7bb, (q31_t)0x6d78f931, (q31_t)0xbdab57fa, (q31_t)0x6d75b786, (q31_t)0xbda5f862, (q31_t)0x6d727597, (q31_t)0xbda098f3,
+  (q31_t)0x6d6f3365, (q31_t)0xbd9b39ad, (q31_t)0x6d6bf0f0, (q31_t)0xbd95da91, (q31_t)0x6d68ae37, (q31_t)0xbd907b9d, (q31_t)0x6d656b3a, (q31_t)0xbd8b1cd2,
+  (q31_t)0x6d6227fa, (q31_t)0xbd85be30, (q31_t)0x6d5ee477, (q31_t)0xbd805fb7, (q31_t)0x6d5ba0b0, (q31_t)0xbd7b0167, (q31_t)0x6d585ca6, (q31_t)0xbd75a340,
+  (q31_t)0x6d551858, (q31_t)0xbd704542, (q31_t)0x6d51d3c6, (q31_t)0xbd6ae76d, (q31_t)0x6d4e8ef2, (q31_t)0xbd6589c1, (q31_t)0x6d4b49da, (q31_t)0xbd602c3f,
+  (q31_t)0x6d48047e, (q31_t)0xbd5acee5, (q31_t)0x6d44bedf, (q31_t)0xbd5571b5, (q31_t)0x6d4178fd, (q31_t)0xbd5014ad, (q31_t)0x6d3e32d7, (q31_t)0xbd4ab7cf,
+  (q31_t)0x6d3aec6e, (q31_t)0xbd455b1a, (q31_t)0x6d37a5c1, (q31_t)0xbd3ffe8e, (q31_t)0x6d345ed1, (q31_t)0xbd3aa22c, (q31_t)0x6d31179e, (q31_t)0xbd3545f2,
+  (q31_t)0x6d2dd027, (q31_t)0xbd2fe9e2, (q31_t)0x6d2a886e, (q31_t)0xbd2a8dfb, (q31_t)0x6d274070, (q31_t)0xbd25323d, (q31_t)0x6d23f830, (q31_t)0xbd1fd6a8,
+  (q31_t)0x6d20afac, (q31_t)0xbd1a7b3d, (q31_t)0x6d1d66e4, (q31_t)0xbd151ffb, (q31_t)0x6d1a1dda, (q31_t)0xbd0fc4e2, (q31_t)0x6d16d48c, (q31_t)0xbd0a69f2,
+  (q31_t)0x6d138afb, (q31_t)0xbd050f2c, (q31_t)0x6d104126, (q31_t)0xbcffb48f, (q31_t)0x6d0cf70f, (q31_t)0xbcfa5a1b, (q31_t)0x6d09acb4, (q31_t)0xbcf4ffd1,
+  (q31_t)0x6d066215, (q31_t)0xbcefa5b0, (q31_t)0x6d031734, (q31_t)0xbcea4bb9, (q31_t)0x6cffcc0f, (q31_t)0xbce4f1eb, (q31_t)0x6cfc80a7, (q31_t)0xbcdf9846,
+  (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6cf5e90d, (q31_t)0xbcd4e579, (q31_t)0x6cf29cdc, (q31_t)0xbccf8c50, (q31_t)0x6cef5067, (q31_t)0xbcca3351,
+  (q31_t)0x6cec03af, (q31_t)0xbcc4da7b, (q31_t)0x6ce8b6b4, (q31_t)0xbcbf81cf, (q31_t)0x6ce56975, (q31_t)0xbcba294d, (q31_t)0x6ce21bf4, (q31_t)0xbcb4d0f4,
+  (q31_t)0x6cdece2f, (q31_t)0xbcaf78c4, (q31_t)0x6cdb8027, (q31_t)0xbcaa20be, (q31_t)0x6cd831dc, (q31_t)0xbca4c8e1, (q31_t)0x6cd4e34e, (q31_t)0xbc9f712e,
+  (q31_t)0x6cd1947c, (q31_t)0xbc9a19a5, (q31_t)0x6cce4568, (q31_t)0xbc94c245, (q31_t)0x6ccaf610, (q31_t)0xbc8f6b0f, (q31_t)0x6cc7a676, (q31_t)0xbc8a1402,
+  (q31_t)0x6cc45698, (q31_t)0xbc84bd1f, (q31_t)0x6cc10677, (q31_t)0xbc7f6665, (q31_t)0x6cbdb613, (q31_t)0xbc7a0fd6, (q31_t)0x6cba656c, (q31_t)0xbc74b96f,
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+  (q31_t)0x690b88b5, (q31_t)0xb6dc0685, (q31_t)0x6907f178, (q31_t)0xb6d6de92, (q31_t)0x690459fb, (q31_t)0xb6d1b6cd, (q31_t)0x6900c23c, (q31_t)0xb6cc8f35,
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+  (q31_t)0x68e06129, (q31_t)0xb69e32cd, (q31_t)0x68dcc6e4, (q31_t)0xb6990cf9, (q31_t)0x68d92c5d, (q31_t)0xb693e752, (q31_t)0x68d59196, (q31_t)0xb68ec1d9,
+  (q31_t)0x68d1f68f, (q31_t)0xb6899c8d, (q31_t)0x68ce5b46, (q31_t)0xb684776e, (q31_t)0x68cabfbd, (q31_t)0xb67f527c, (q31_t)0x68c723f3, (q31_t)0xb67a2db8,
+  (q31_t)0x68c387e9, (q31_t)0xb6750921, (q31_t)0x68bfeb9e, (q31_t)0xb66fe4b8, (q31_t)0x68bc4f13, (q31_t)0xb66ac07c, (q31_t)0x68b8b247, (q31_t)0xb6659c6d,
+  (q31_t)0x68b5153a, (q31_t)0xb660788c, (q31_t)0x68b177ed, (q31_t)0xb65b54d8, (q31_t)0x68adda5f, (q31_t)0xb6563151, (q31_t)0x68aa3c90, (q31_t)0xb6510df8,
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+  (q31_t)0x6889a4f6, (q31_t)0xb622d7d6, (q31_t)0x688604a2, (q31_t)0xb61db644, (q31_t)0x6882640e, (q31_t)0xb61894df, (q31_t)0x687ec339, (q31_t)0xb61373a9,
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+  (q31_t)0x686c9b4b, (q31_t)0xb5f9d043, (q31_t)0x6868f8f4, (q31_t)0xb5f4b01e, (q31_t)0x6865565c, (q31_t)0xb5ef9026, (q31_t)0x6861b384, (q31_t)0xb5ea705d,
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+  (q31_t)0x684f8186, (q31_t)0xb5d0d41a, (q31_t)0x684bdd2c, (q31_t)0xb5cbb563, (q31_t)0x68483891, (q31_t)0xb5c696da, (q31_t)0x684493b6, (q31_t)0xb5c1787e,
+  (q31_t)0x6840ee9b, (q31_t)0xb5bc5a50, (q31_t)0x683d493f, (q31_t)0xb5b73c50, (q31_t)0x6839a3a4, (q31_t)0xb5b21e7e, (q31_t)0x6835fdc7, (q31_t)0xb5ad00d9,
+  (q31_t)0x683257ab, (q31_t)0xb5a7e362, (q31_t)0x682eb14e, (q31_t)0xb5a2c61a, (q31_t)0x682b0ab1, (q31_t)0xb59da8ff, (q31_t)0x682763d4, (q31_t)0xb5988c12,
+  (q31_t)0x6823bcb7, (q31_t)0xb5936f53, (q31_t)0x68201559, (q31_t)0xb58e52c2, (q31_t)0x681c6dbb, (q31_t)0xb589365e, (q31_t)0x6818c5dd, (q31_t)0xb5841a29,
+  (q31_t)0x68151dbe, (q31_t)0xb57efe22, (q31_t)0x68117560, (q31_t)0xb579e248, (q31_t)0x680dccc1, (q31_t)0xb574c69d, (q31_t)0x680a23e2, (q31_t)0xb56fab1f,
+  (q31_t)0x68067ac3, (q31_t)0xb56a8fd0, (q31_t)0x6802d164, (q31_t)0xb56574ae, (q31_t)0x67ff27c4, (q31_t)0xb56059bb, (q31_t)0x67fb7de5, (q31_t)0xb55b3ef5,
+  (q31_t)0x67f7d3c5, (q31_t)0xb556245e, (q31_t)0x67f42965, (q31_t)0xb55109f5, (q31_t)0x67f07ec5, (q31_t)0xb54befba, (q31_t)0x67ecd3e5, (q31_t)0xb546d5ac,
+  (q31_t)0x67e928c5, (q31_t)0xb541bbcd, (q31_t)0x67e57d64, (q31_t)0xb53ca21c, (q31_t)0x67e1d1c4, (q31_t)0xb5378899, (q31_t)0x67de25e3, (q31_t)0xb5326f45,
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+  (q31_t)0x6790d2b6, (q31_t)0xb4c78507, (q31_t)0x678d2156, (q31_t)0xb4c26fad, (q31_t)0x67896fb6, (q31_t)0xb4bd5a80, (q31_t)0x6785bdd6, (q31_t)0xb4b84582,
+  (q31_t)0x67820bb7, (q31_t)0xb4b330b3, (q31_t)0x677e5957, (q31_t)0xb4ae1c12, (q31_t)0x677aa6b8, (q31_t)0xb4a9079f, (q31_t)0x6776f3d9, (q31_t)0xb4a3f35b,
+  (q31_t)0x677340ba, (q31_t)0xb49edf45, (q31_t)0x676f8d5b, (q31_t)0xb499cb5e, (q31_t)0x676bd9bd, (q31_t)0xb494b7a6, (q31_t)0x676825de, (q31_t)0xb48fa41c,
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+  (q31_t)0x6737ecea, (q31_t)0xb44db6a8, (q31_t)0x67343590, (q31_t)0xb448a5aa, (q31_t)0x67307df5, (q31_t)0xb44394db, (q31_t)0x672cc61c, (q31_t)0xb43e843b,
+  (q31_t)0x67290e02, (q31_t)0xb43973ca, (q31_t)0x672555a9, (q31_t)0xb4346387, (q31_t)0x67219d10, (q31_t)0xb42f5373, (q31_t)0x671de438, (q31_t)0xb42a438e,
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+  (q31_t)0x670b4444, (q31_t)0xb410f6d3, (q31_t)0x670789ee, (q31_t)0xb40be807, (q31_t)0x6703cf58, (q31_t)0xb406d969, (q31_t)0x67001483, (q31_t)0xb401cafb,
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+  (q31_t)0x66c0866d, (q31_t)0xb3abf1b2, (q31_t)0x66bcc721, (q31_t)0xb3a6e691, (q31_t)0x66b90797, (q31_t)0xb3a1dba0, (q31_t)0x66b547cd, (q31_t)0xb39cd0dd,
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+  (q31_t)0x66937e91, (q31_t)0xb36f784f, (q31_t)0x668fbc4e, (q31_t)0xb36a6f64, (q31_t)0x668bf9cb, (q31_t)0xb36566a8, (q31_t)0x66883709, (q31_t)0xb3605e1c,
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+  (q31_t)0x6629e1ec, (q31_t)0xb2e2c486, (q31_t)0x662618c1, (q31_t)0xb2ddc0ca, (q31_t)0x66224f56, (q31_t)0xb2d8bd3e, (q31_t)0x661e85ad, (q31_t)0xb2d3b9e2,
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+  (q31_t)0x660b91af, (q31_t)0xb2baabde, (q31_t)0x6607c68c, (q31_t)0xb2b5a99f, (q31_t)0x6603fb2a, (q31_t)0xb2b0a790, (q31_t)0x66002f89, (q31_t)0xb2aba5b1,
+  (q31_t)0x65fc63a9, (q31_t)0xb2a6a402, (q31_t)0x65f8978b, (q31_t)0xb2a1a282, (q31_t)0x65f4cb2d, (q31_t)0xb29ca132, (q31_t)0x65f0fe91, (q31_t)0xb297a011,
+  (q31_t)0x65ed31b5, (q31_t)0xb2929f21, (q31_t)0x65e9649b, (q31_t)0xb28d9e60, (q31_t)0x65e59742, (q31_t)0xb2889dcf, (q31_t)0x65e1c9aa, (q31_t)0xb2839d6d,
+  (q31_t)0x65ddfbd3, (q31_t)0xb27e9d3c, (q31_t)0x65da2dbd, (q31_t)0xb2799d3a, (q31_t)0x65d65f69, (q31_t)0xb2749d68, (q31_t)0x65d290d6, (q31_t)0xb26f9dc6,
+  (q31_t)0x65cec204, (q31_t)0xb26a9e54, (q31_t)0x65caf2f3, (q31_t)0xb2659f12, (q31_t)0x65c723a3, (q31_t)0xb2609fff, (q31_t)0x65c35415, (q31_t)0xb25ba11d,
+  (q31_t)0x65bf8447, (q31_t)0xb256a26a, (q31_t)0x65bbb43b, (q31_t)0xb251a3e7, (q31_t)0x65b7e3f1, (q31_t)0xb24ca594, (q31_t)0x65b41367, (q31_t)0xb247a771,
+  (q31_t)0x65b0429f, (q31_t)0xb242a97e, (q31_t)0x65ac7198, (q31_t)0xb23dabbb, (q31_t)0x65a8a052, (q31_t)0xb238ae28, (q31_t)0x65a4cece, (q31_t)0xb233b0c5,
+  (q31_t)0x65a0fd0b, (q31_t)0xb22eb392, (q31_t)0x659d2b09, (q31_t)0xb229b68f, (q31_t)0x659958c9, (q31_t)0xb224b9bc, (q31_t)0x6595864a, (q31_t)0xb21fbd19,
+  (q31_t)0x6591b38c, (q31_t)0xb21ac0a6, (q31_t)0x658de08f, (q31_t)0xb215c463, (q31_t)0x658a0d54, (q31_t)0xb210c850, (q31_t)0x658639db, (q31_t)0xb20bcc6d,
+  (q31_t)0x65826622, (q31_t)0xb206d0ba, (q31_t)0x657e922b, (q31_t)0xb201d537, (q31_t)0x657abdf6, (q31_t)0xb1fcd9e5, (q31_t)0x6576e982, (q31_t)0xb1f7dec2,
+  (q31_t)0x657314cf, (q31_t)0xb1f2e3d0, (q31_t)0x656f3fde, (q31_t)0xb1ede90e, (q31_t)0x656b6aae, (q31_t)0xb1e8ee7c, (q31_t)0x6567953f, (q31_t)0xb1e3f41a,
+  (q31_t)0x6563bf92, (q31_t)0xb1def9e9, (q31_t)0x655fe9a7, (q31_t)0xb1d9ffe7, (q31_t)0x655c137d, (q31_t)0xb1d50616, (q31_t)0x65583d14, (q31_t)0xb1d00c75,
+  (q31_t)0x6554666d, (q31_t)0xb1cb1304, (q31_t)0x65508f87, (q31_t)0xb1c619c3, (q31_t)0x654cb863, (q31_t)0xb1c120b3, (q31_t)0x6548e101, (q31_t)0xb1bc27d3,
+  (q31_t)0x6545095f, (q31_t)0xb1b72f23, (q31_t)0x65413180, (q31_t)0xb1b236a4, (q31_t)0x653d5962, (q31_t)0xb1ad3e55, (q31_t)0x65398105, (q31_t)0xb1a84636,
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+  (q31_t)0x6526438f, (q31_t)0xb18f7071, (q31_t)0x652269bc, (q31_t)0xb18a7974, (q31_t)0x651e8faa, (q31_t)0xb18582a8, (q31_t)0x651ab55b, (q31_t)0xb1808c0c,
+  (q31_t)0x6516dacd, (q31_t)0xb17b95a0, (q31_t)0x65130000, (q31_t)0xb1769f65, (q31_t)0x650f24f5, (q31_t)0xb171a95b, (q31_t)0x650b49ac, (q31_t)0xb16cb380,
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+  (q31_t)0x604754bf, (q31_t)0xaba72807, (q31_t)0x604330b1, (q31_t)0xaba26e41, (q31_t)0x603f0c69, (q31_t)0xab9db4b0, (q31_t)0x603ae7e5, (q31_t)0xab98fb52,
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+  (q31_t)0x601594d1, (q31_t)0xab6e8032, (q31_t)0x60116dfc, (q31_t)0xab69c8de, (q31_t)0x600d46ec, (q31_t)0xab6511be, (q31_t)0x60091fa0, (q31_t)0xab605ad2,
+  (q31_t)0x6004f819, (q31_t)0xab5ba41a, (q31_t)0x6000d057, (q31_t)0xab56ed97, (q31_t)0x5ffca859, (q31_t)0xab523748, (q31_t)0x5ff88021, (q31_t)0xab4d812d,
+  (q31_t)0x5ff457ad, (q31_t)0xab48cb46, (q31_t)0x5ff02efe, (q31_t)0xab441593, (q31_t)0x5fec0613, (q31_t)0xab3f6015, (q31_t)0x5fe7dcee, (q31_t)0xab3aaacb,
+  (q31_t)0x5fe3b38d, (q31_t)0xab35f5b5, (q31_t)0x5fdf89f2, (q31_t)0xab3140d4, (q31_t)0x5fdb601b, (q31_t)0xab2c8c27, (q31_t)0x5fd73609, (q31_t)0xab27d7ae,
+  (q31_t)0x5fd30bbc, (q31_t)0xab23236a, (q31_t)0x5fcee133, (q31_t)0xab1e6f5a, (q31_t)0x5fcab670, (q31_t)0xab19bb7e, (q31_t)0x5fc68b72, (q31_t)0xab1507d7,
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+  (q31_t)0x5fb1b104, (q31_t)0xaafd88a4, (q31_t)0x5fad84a3, (q31_t)0xaaf8d637, (q31_t)0x5fa95807, (q31_t)0xaaf423ff, (q31_t)0x5fa52b31, (q31_t)0xaaef71fb,
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+  (q31_t)0x5f7f8d46, (q31_t)0xaac53912, (q31_t)0x5f7b5e22, (q31_t)0xaac0891c, (q31_t)0x5f772ec2, (q31_t)0xaabbd959, (q31_t)0x5f72ff28, (q31_t)0xaab729cc,
+  (q31_t)0x5f6ecf53, (q31_t)0xaab27a73, (q31_t)0x5f6a9f44, (q31_t)0xaaadcb4f, (q31_t)0x5f666ef9, (q31_t)0xaaa91c5f, (q31_t)0x5f623e73, (q31_t)0xaaa46da4,
+  (q31_t)0x5f5e0db3, (q31_t)0xaa9fbf1e, (q31_t)0x5f59dcb8, (q31_t)0xaa9b10cc, (q31_t)0x5f55ab82, (q31_t)0xaa9662af, (q31_t)0x5f517a11, (q31_t)0xaa91b4c7,
+  (q31_t)0x5f4d4865, (q31_t)0xaa8d0713, (q31_t)0x5f49167f, (q31_t)0xaa885994, (q31_t)0x5f44e45e, (q31_t)0xaa83ac4a, (q31_t)0x5f40b202, (q31_t)0xaa7eff34,
+  (q31_t)0x5f3c7f6b, (q31_t)0xaa7a5253, (q31_t)0x5f384c9a, (q31_t)0xaa75a5a8, (q31_t)0x5f34198e, (q31_t)0xaa70f930, (q31_t)0x5f2fe647, (q31_t)0xaa6c4cee,
+  (q31_t)0x5f2bb2c5, (q31_t)0xaa67a0e0, (q31_t)0x5f277f09, (q31_t)0xaa62f507, (q31_t)0x5f234b12, (q31_t)0xaa5e4963, (q31_t)0x5f1f16e0, (q31_t)0xaa599df4,
+  (q31_t)0x5f1ae274, (q31_t)0xaa54f2ba, (q31_t)0x5f16adcc, (q31_t)0xaa5047b4, (q31_t)0x5f1278eb, (q31_t)0xaa4b9ce3, (q31_t)0x5f0e43ce, (q31_t)0xaa46f248,
+  (q31_t)0x5f0a0e77, (q31_t)0xaa4247e1, (q31_t)0x5f05d8e6, (q31_t)0xaa3d9daf, (q31_t)0x5f01a31a, (q31_t)0xaa38f3b1, (q31_t)0x5efd6d13, (q31_t)0xaa3449e9,
+  (q31_t)0x5ef936d1, (q31_t)0xaa2fa056, (q31_t)0x5ef50055, (q31_t)0xaa2af6f7, (q31_t)0x5ef0c99f, (q31_t)0xaa264dce, (q31_t)0x5eec92ae, (q31_t)0xaa21a4d9,
+  (q31_t)0x5ee85b82, (q31_t)0xaa1cfc1a, (q31_t)0x5ee4241c, (q31_t)0xaa18538f, (q31_t)0x5edfec7b, (q31_t)0xaa13ab3a, (q31_t)0x5edbb49f, (q31_t)0xaa0f0319,
+  (q31_t)0x5ed77c8a, (q31_t)0xaa0a5b2e, (q31_t)0x5ed34439, (q31_t)0xaa05b377, (q31_t)0x5ecf0baf, (q31_t)0xaa010bf6, (q31_t)0x5ecad2e9, (q31_t)0xa9fc64a9,
+  (q31_t)0x5ec699e9, (q31_t)0xa9f7bd92, (q31_t)0x5ec260af, (q31_t)0xa9f316b0, (q31_t)0x5ebe273b, (q31_t)0xa9ee7002, (q31_t)0x5eb9ed8b, (q31_t)0xa9e9c98a,
+  (q31_t)0x5eb5b3a2, (q31_t)0xa9e52347, (q31_t)0x5eb1797e, (q31_t)0xa9e07d39, (q31_t)0x5ead3f1f, (q31_t)0xa9dbd761, (q31_t)0x5ea90487, (q31_t)0xa9d731bd,
+  (q31_t)0x5ea4c9b3, (q31_t)0xa9d28c4e, (q31_t)0x5ea08ea6, (q31_t)0xa9cde715, (q31_t)0x5e9c535e, (q31_t)0xa9c94211, (q31_t)0x5e9817dc, (q31_t)0xa9c49d42,
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+  (q31_t)0x5e82eae5, (q31_t)0xa9ad6855, (q31_t)0x5e7eae05, (q31_t)0xa9a8c4c5, (q31_t)0x5e7a70ea, (q31_t)0xa9a4216b, (q31_t)0x5e763395, (q31_t)0xa99f7e46,
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+  (q31_t)0x5e50015d, (q31_t)0xa975cb57, (q31_t)0x5e4bc1c2, (q31_t)0xa9712a47, (q31_t)0x5e4781ed, (q31_t)0xa96c896c, (q31_t)0x5e4341de, (q31_t)0xa967e8c7,
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+  (q31_t)0x5dc79d7c, (q31_t)0xa8e21106, (q31_t)0x5dc356a1, (q31_t)0xa8dd76a9, (q31_t)0x5dbf0f8c, (q31_t)0xa8d8dc81, (q31_t)0x5dbac83d, (q31_t)0xa8d4428f,
+  (q31_t)0x5db680b4, (q31_t)0xa8cfa8d2, (q31_t)0x5db238f1, (q31_t)0xa8cb0f4b, (q31_t)0x5dadf0f5, (q31_t)0xa8c675fb, (q31_t)0x5da9a8bf, (q31_t)0xa8c1dce0,
+  (q31_t)0x5da5604f, (q31_t)0xa8bd43fa, (q31_t)0x5da117a5, (q31_t)0xa8b8ab4b, (q31_t)0x5d9ccec2, (q31_t)0xa8b412d1, (q31_t)0x5d9885a5, (q31_t)0xa8af7a8e,
+  (q31_t)0x5d943c4e, (q31_t)0xa8aae280, (q31_t)0x5d8ff2bd, (q31_t)0xa8a64aa8, (q31_t)0x5d8ba8f3, (q31_t)0xa8a1b306, (q31_t)0x5d875eef, (q31_t)0xa89d1b99,
+  (q31_t)0x5d8314b1, (q31_t)0xa8988463, (q31_t)0x5d7eca39, (q31_t)0xa893ed63, (q31_t)0x5d7a7f88, (q31_t)0xa88f5698, (q31_t)0x5d76349d, (q31_t)0xa88ac004,
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+  (q31_t)0x5d60baa7, (q31_t)0xa873d246, (q31_t)0x5d5c6e62, (q31_t)0xa86f3cf6, (q31_t)0x5d5821e4, (q31_t)0xa86aa7db, (q31_t)0x5d53d52d, (q31_t)0xa86612f6,
+  (q31_t)0x5d4f883b, (q31_t)0xa8617e48, (q31_t)0x5d4b3b10, (q31_t)0xa85ce9cf, (q31_t)0x5d46edac, (q31_t)0xa858558d, (q31_t)0x5d42a00e, (q31_t)0xa853c180,
+  (q31_t)0x5d3e5237, (q31_t)0xa84f2daa, (q31_t)0x5d3a0426, (q31_t)0xa84a9a0a, (q31_t)0x5d35b5db, (q31_t)0xa84606a0, (q31_t)0x5d316757, (q31_t)0xa841736c,
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+  (q31_t)0x5d1bdb65, (q31_t)0xa82a9693, (q31_t)0x5d178b89, (q31_t)0xa82604a4, (q31_t)0x5d133b72, (q31_t)0xa82172eb, (q31_t)0x5d0eeb23, (q31_t)0xa81ce169,
+  (q31_t)0x5d0a9a9a, (q31_t)0xa818501c, (q31_t)0x5d0649d7, (q31_t)0xa813bf06, (q31_t)0x5d01f8dc, (q31_t)0xa80f2e26, (q31_t)0x5cfda7a7, (q31_t)0xa80a9d7c,
+  (q31_t)0x5cf95638, (q31_t)0xa8060d08, (q31_t)0x5cf50490, (q31_t)0xa8017ccb, (q31_t)0x5cf0b2af, (q31_t)0xa7fcecc4, (q31_t)0x5cec6095, (q31_t)0xa7f85cf3,
+  (q31_t)0x5ce80e41, (q31_t)0xa7f3cd59, (q31_t)0x5ce3bbb4, (q31_t)0xa7ef3df5, (q31_t)0x5cdf68ed, (q31_t)0xa7eaaec7, (q31_t)0x5cdb15ed, (q31_t)0xa7e61fd0,
+  (q31_t)0x5cd6c2b5, (q31_t)0xa7e1910f, (q31_t)0x5cd26f42, (q31_t)0xa7dd0284, (q31_t)0x5cce1b97, (q31_t)0xa7d8742f, (q31_t)0x5cc9c7b2, (q31_t)0xa7d3e611,
+  (q31_t)0x5cc57394, (q31_t)0xa7cf582a, (q31_t)0x5cc11f3d, (q31_t)0xa7caca79, (q31_t)0x5cbccaac, (q31_t)0xa7c63cfe, (q31_t)0x5cb875e3, (q31_t)0xa7c1afb9,
+  (q31_t)0x5cb420e0, (q31_t)0xa7bd22ac, (q31_t)0x5cafcba4, (q31_t)0xa7b895d4, (q31_t)0x5cab762f, (q31_t)0xa7b40933, (q31_t)0x5ca72080, (q31_t)0xa7af7cc8,
+  (q31_t)0x5ca2ca99, (q31_t)0xa7aaf094, (q31_t)0x5c9e7478, (q31_t)0xa7a66497, (q31_t)0x5c9a1e1e, (q31_t)0xa7a1d8d0, (q31_t)0x5c95c78b, (q31_t)0xa79d4d3f,
+  (q31_t)0x5c9170bf, (q31_t)0xa798c1e5, (q31_t)0x5c8d19ba, (q31_t)0xa79436c1, (q31_t)0x5c88c27c, (q31_t)0xa78fabd4, (q31_t)0x5c846b05, (q31_t)0xa78b211e,
+  (q31_t)0x5c801354, (q31_t)0xa786969e, (q31_t)0x5c7bbb6b, (q31_t)0xa7820c55, (q31_t)0x5c776348, (q31_t)0xa77d8242, (q31_t)0x5c730aed, (q31_t)0xa778f866,
+  (q31_t)0x5c6eb258, (q31_t)0xa7746ec0, (q31_t)0x5c6a598b, (q31_t)0xa76fe551, (q31_t)0x5c660084, (q31_t)0xa76b5c19, (q31_t)0x5c61a745, (q31_t)0xa766d317,
+  (q31_t)0x5c5d4dcc, (q31_t)0xa7624a4d, (q31_t)0x5c58f41a, (q31_t)0xa75dc1b8, (q31_t)0x5c549a30, (q31_t)0xa759395b, (q31_t)0x5c50400d, (q31_t)0xa754b134,
+  (q31_t)0x5c4be5b0, (q31_t)0xa7502943, (q31_t)0x5c478b1b, (q31_t)0xa74ba18a, (q31_t)0x5c43304d, (q31_t)0xa7471a07, (q31_t)0x5c3ed545, (q31_t)0xa74292bb,
+  (q31_t)0x5c3a7a05, (q31_t)0xa73e0ba5, (q31_t)0x5c361e8c, (q31_t)0xa73984c7, (q31_t)0x5c31c2db, (q31_t)0xa734fe1f, (q31_t)0x5c2d66f0, (q31_t)0xa73077ae,
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+  (q31_t)0x588b9140, (q31_t)0xa3914da8, (q31_t)0x5887079a, (q31_t)0xa38cf513, (q31_t)0x58827dbe, (q31_t)0xa3889cb8, (q31_t)0x587df3ab, (q31_t)0xa3844495,
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+  (q31_t)0x58550f6c, (q31_t)0xa35d3567, (q31_t)0x58508338, (q31_t)0xa358df80, (q31_t)0x584bf6cd, (q31_t)0xa35489d1, (q31_t)0x58476a2c, (q31_t)0xa350345c,
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+  (q31_t)0x51f576ea, (q31_t)0x9dae2d68, (q31_t)0x51f0a34b, (q31_t)0x9daa279a, (q31_t)0x51ebcf7a, (q31_t)0x9da62208, (q31_t)0x51e6fb76, (q31_t)0x9da21cb2,
+  (q31_t)0x51e22740, (q31_t)0x9d9e179a, (q31_t)0x51dd52d7, (q31_t)0x9d9a12be, (q31_t)0x51d87e3c, (q31_t)0x9d960e1f, (q31_t)0x51d3a96f, (q31_t)0x9d9209bd,
+  (q31_t)0x51ced46e, (q31_t)0x9d8e0597, (q31_t)0x51c9ff3c, (q31_t)0x9d8a01ae, (q31_t)0x51c529d7, (q31_t)0x9d85fe02, (q31_t)0x51c0543f, (q31_t)0x9d81fa92,
+  (q31_t)0x51bb7e75, (q31_t)0x9d7df75f, (q31_t)0x51b6a879, (q31_t)0x9d79f469, (q31_t)0x51b1d24a, (q31_t)0x9d75f1b0, (q31_t)0x51acfbe9, (q31_t)0x9d71ef34,
+  (q31_t)0x51a82555, (q31_t)0x9d6decf4, (q31_t)0x51a34e8f, (q31_t)0x9d69eaf1, (q31_t)0x519e7797, (q31_t)0x9d65e92b, (q31_t)0x5199a06d, (q31_t)0x9d61e7a2,
+  (q31_t)0x5194c910, (q31_t)0x9d5de656, (q31_t)0x518ff180, (q31_t)0x9d59e546, (q31_t)0x518b19bf, (q31_t)0x9d55e473, (q31_t)0x518641cb, (q31_t)0x9d51e3dd,
+  (q31_t)0x518169a5, (q31_t)0x9d4de385, (q31_t)0x517c914c, (q31_t)0x9d49e368, (q31_t)0x5177b8c2, (q31_t)0x9d45e389, (q31_t)0x5172e005, (q31_t)0x9d41e3e7,
+  (q31_t)0x516e0715, (q31_t)0x9d3de482, (q31_t)0x51692df4, (q31_t)0x9d39e559, (q31_t)0x516454a0, (q31_t)0x9d35e66e, (q31_t)0x515f7b1a, (q31_t)0x9d31e7bf,
+  (q31_t)0x515aa162, (q31_t)0x9d2de94d, (q31_t)0x5155c778, (q31_t)0x9d29eb19, (q31_t)0x5150ed5c, (q31_t)0x9d25ed21, (q31_t)0x514c130d, (q31_t)0x9d21ef66,
+  (q31_t)0x5147388c, (q31_t)0x9d1df1e9, (q31_t)0x51425dd9, (q31_t)0x9d19f4a8, (q31_t)0x513d82f4, (q31_t)0x9d15f7a4, (q31_t)0x5138a7dd, (q31_t)0x9d11fadd,
+  (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x512ef119, (q31_t)0x9d0a0207, (q31_t)0x512a156b, (q31_t)0x9d0605f7, (q31_t)0x5125398c, (q31_t)0x9d020a25,
+  (q31_t)0x51205d7b, (q31_t)0x9cfe0e8f, (q31_t)0x511b8137, (q31_t)0x9cfa1337, (q31_t)0x5116a4c1, (q31_t)0x9cf6181c, (q31_t)0x5111c81a, (q31_t)0x9cf21d3d,
+  (q31_t)0x510ceb40, (q31_t)0x9cee229c, (q31_t)0x51080e35, (q31_t)0x9cea2838, (q31_t)0x510330f7, (q31_t)0x9ce62e11, (q31_t)0x50fe5388, (q31_t)0x9ce23427,
+  (q31_t)0x50f975e6, (q31_t)0x9cde3a7b, (q31_t)0x50f49813, (q31_t)0x9cda410b, (q31_t)0x50efba0d, (q31_t)0x9cd647d9, (q31_t)0x50eadbd6, (q31_t)0x9cd24ee4,
+  (q31_t)0x50e5fd6d, (q31_t)0x9cce562c, (q31_t)0x50e11ed2, (q31_t)0x9cca5db1, (q31_t)0x50dc4005, (q31_t)0x9cc66573, (q31_t)0x50d76106, (q31_t)0x9cc26d73,
+  (q31_t)0x50d281d5, (q31_t)0x9cbe75b0, (q31_t)0x50cda272, (q31_t)0x9cba7e2a, (q31_t)0x50c8c2de, (q31_t)0x9cb686e1, (q31_t)0x50c3e317, (q31_t)0x9cb28fd5,
+  (q31_t)0x50bf031f, (q31_t)0x9cae9907, (q31_t)0x50ba22f5, (q31_t)0x9caaa276, (q31_t)0x50b5429a, (q31_t)0x9ca6ac23, (q31_t)0x50b0620c, (q31_t)0x9ca2b60c,
+  (q31_t)0x50ab814d, (q31_t)0x9c9ec033, (q31_t)0x50a6a05c, (q31_t)0x9c9aca97, (q31_t)0x50a1bf39, (q31_t)0x9c96d539, (q31_t)0x509cdde4, (q31_t)0x9c92e017,
+  (q31_t)0x5097fc5e, (q31_t)0x9c8eeb34, (q31_t)0x50931aa6, (q31_t)0x9c8af68d, (q31_t)0x508e38bd, (q31_t)0x9c870224, (q31_t)0x508956a1, (q31_t)0x9c830df8,
+  (q31_t)0x50847454, (q31_t)0x9c7f1a0a, (q31_t)0x507f91d5, (q31_t)0x9c7b2659, (q31_t)0x507aaf25, (q31_t)0x9c7732e5, (q31_t)0x5075cc43, (q31_t)0x9c733faf,
+  (q31_t)0x5070e92f, (q31_t)0x9c6f4cb6, (q31_t)0x506c05ea, (q31_t)0x9c6b59fa, (q31_t)0x50672273, (q31_t)0x9c67677c, (q31_t)0x50623ecb, (q31_t)0x9c63753c,
+  (q31_t)0x505d5af1, (q31_t)0x9c5f8339, (q31_t)0x505876e5, (q31_t)0x9c5b9173, (q31_t)0x505392a8, (q31_t)0x9c579feb, (q31_t)0x504eae39, (q31_t)0x9c53aea0,
+  (q31_t)0x5049c999, (q31_t)0x9c4fbd93, (q31_t)0x5044e4c7, (q31_t)0x9c4bccc3, (q31_t)0x503fffc4, (q31_t)0x9c47dc31, (q31_t)0x503b1a8f, (q31_t)0x9c43ebdc,
+  (q31_t)0x50363529, (q31_t)0x9c3ffbc5, (q31_t)0x50314f91, (q31_t)0x9c3c0beb, (q31_t)0x502c69c8, (q31_t)0x9c381c4f, (q31_t)0x502783cd, (q31_t)0x9c342cf0,
+  (q31_t)0x50229da1, (q31_t)0x9c303dcf, (q31_t)0x501db743, (q31_t)0x9c2c4eec, (q31_t)0x5018d0b4, (q31_t)0x9c286046, (q31_t)0x5013e9f4, (q31_t)0x9c2471de,
+  (q31_t)0x500f0302, (q31_t)0x9c2083b3, (q31_t)0x500a1bdf, (q31_t)0x9c1c95c6, (q31_t)0x5005348a, (q31_t)0x9c18a816, (q31_t)0x50004d04, (q31_t)0x9c14baa4,
+  (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4ff67d64, (q31_t)0x9c0ce07a, (q31_t)0x4ff1954b, (q31_t)0x9c08f3c1, (q31_t)0x4fecacff, (q31_t)0x9c050745,
+  (q31_t)0x4fe7c483, (q31_t)0x9c011b08, (q31_t)0x4fe2dbd5, (q31_t)0x9bfd2f08, (q31_t)0x4fddf2f6, (q31_t)0x9bf94346, (q31_t)0x4fd909e5, (q31_t)0x9bf557c1,
+  (q31_t)0x4fd420a4, (q31_t)0x9bf16c7a, (q31_t)0x4fcf3731, (q31_t)0x9bed8171, (q31_t)0x4fca4d8d, (q31_t)0x9be996a6, (q31_t)0x4fc563b7, (q31_t)0x9be5ac18,
+  (q31_t)0x4fc079b1, (q31_t)0x9be1c1c8, (q31_t)0x4fbb8f79, (q31_t)0x9bddd7b6, (q31_t)0x4fb6a510, (q31_t)0x9bd9ede2, (q31_t)0x4fb1ba76, (q31_t)0x9bd6044b,
+  (q31_t)0x4faccfab, (q31_t)0x9bd21af3, (q31_t)0x4fa7e4af, (q31_t)0x9bce31d8, (q31_t)0x4fa2f981, (q31_t)0x9bca48fa, (q31_t)0x4f9e0e22, (q31_t)0x9bc6605b,
+  (q31_t)0x4f992293, (q31_t)0x9bc277fa, (q31_t)0x4f9436d2, (q31_t)0x9bbe8fd6, (q31_t)0x4f8f4ae0, (q31_t)0x9bbaa7f0, (q31_t)0x4f8a5ebd, (q31_t)0x9bb6c048,
+  (q31_t)0x4f857269, (q31_t)0x9bb2d8de, (q31_t)0x4f8085e4, (q31_t)0x9baef1b2, (q31_t)0x4f7b992d, (q31_t)0x9bab0ac3, (q31_t)0x4f76ac46, (q31_t)0x9ba72413,
+  (q31_t)0x4f71bf2e, (q31_t)0x9ba33da0, (q31_t)0x4f6cd1e5, (q31_t)0x9b9f576b, (q31_t)0x4f67e46a, (q31_t)0x9b9b7174, (q31_t)0x4f62f6bf, (q31_t)0x9b978bbc,
+  (q31_t)0x4f5e08e3, (q31_t)0x9b93a641, (q31_t)0x4f591ad6, (q31_t)0x9b8fc104, (q31_t)0x4f542c98, (q31_t)0x9b8bdc05, (q31_t)0x4f4f3e29, (q31_t)0x9b87f744,
+  (q31_t)0x4f4a4f89, (q31_t)0x9b8412c1, (q31_t)0x4f4560b8, (q31_t)0x9b802e7b, (q31_t)0x4f4071b6, (q31_t)0x9b7c4a74, (q31_t)0x4f3b8284, (q31_t)0x9b7866ab,
+  (q31_t)0x4f369320, (q31_t)0x9b748320, (q31_t)0x4f31a38c, (q31_t)0x9b709fd3, (q31_t)0x4f2cb3c7, (q31_t)0x9b6cbcc4, (q31_t)0x4f27c3d1, (q31_t)0x9b68d9f3,
+  (q31_t)0x4f22d3aa, (q31_t)0x9b64f760, (q31_t)0x4f1de352, (q31_t)0x9b61150b, (q31_t)0x4f18f2c9, (q31_t)0x9b5d32f4, (q31_t)0x4f140210, (q31_t)0x9b59511c,
+  (q31_t)0x4f0f1126, (q31_t)0x9b556f81, (q31_t)0x4f0a200b, (q31_t)0x9b518e24, (q31_t)0x4f052ec0, (q31_t)0x9b4dad06, (q31_t)0x4f003d43, (q31_t)0x9b49cc26,
+  (q31_t)0x4efb4b96, (q31_t)0x9b45eb83, (q31_t)0x4ef659b8, (q31_t)0x9b420b1f, (q31_t)0x4ef167aa, (q31_t)0x9b3e2af9, (q31_t)0x4eec756b, (q31_t)0x9b3a4b11,
+  (q31_t)0x4ee782fb, (q31_t)0x9b366b68, (q31_t)0x4ee2905a, (q31_t)0x9b328bfc, (q31_t)0x4edd9d89, (q31_t)0x9b2eaccf, (q31_t)0x4ed8aa87, (q31_t)0x9b2acde0,
+  (q31_t)0x4ed3b755, (q31_t)0x9b26ef2f, (q31_t)0x4ecec3f2, (q31_t)0x9b2310bc, (q31_t)0x4ec9d05e, (q31_t)0x9b1f3288, (q31_t)0x4ec4dc99, (q31_t)0x9b1b5492,
+  (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4ebaf47f, (q31_t)0x9b139960, (q31_t)0x4eb60029, (q31_t)0x9b0fbc24, (q31_t)0x4eb10ba2, (q31_t)0x9b0bdf27,
+  (q31_t)0x4eac16eb, (q31_t)0x9b080268, (q31_t)0x4ea72203, (q31_t)0x9b0425e8, (q31_t)0x4ea22ceb, (q31_t)0x9b0049a5, (q31_t)0x4e9d37a3, (q31_t)0x9afc6da1,
+  (q31_t)0x4e984229, (q31_t)0x9af891db, (q31_t)0x4e934c80, (q31_t)0x9af4b654, (q31_t)0x4e8e56a5, (q31_t)0x9af0db0b, (q31_t)0x4e89609b, (q31_t)0x9aed0000,
+  (q31_t)0x4e846a60, (q31_t)0x9ae92533, (q31_t)0x4e7f73f4, (q31_t)0x9ae54aa5, (q31_t)0x4e7a7d58, (q31_t)0x9ae17056, (q31_t)0x4e75868c, (q31_t)0x9add9644,
+  (q31_t)0x4e708f8f, (q31_t)0x9ad9bc71, (q31_t)0x4e6b9862, (q31_t)0x9ad5e2dd, (q31_t)0x4e66a105, (q31_t)0x9ad20987, (q31_t)0x4e61a977, (q31_t)0x9ace306f,
+  (q31_t)0x4e5cb1b9, (q31_t)0x9aca5795, (q31_t)0x4e57b9ca, (q31_t)0x9ac67efb, (q31_t)0x4e52c1ab, (q31_t)0x9ac2a69e, (q31_t)0x4e4dc95c, (q31_t)0x9abece80,
+  (q31_t)0x4e48d0dd, (q31_t)0x9abaf6a1, (q31_t)0x4e43d82d, (q31_t)0x9ab71eff, (q31_t)0x4e3edf4d, (q31_t)0x9ab3479d, (q31_t)0x4e39e63d, (q31_t)0x9aaf7079,
+  (q31_t)0x4e34ecfc, (q31_t)0x9aab9993, (q31_t)0x4e2ff38b, (q31_t)0x9aa7c2ec, (q31_t)0x4e2af9ea, (q31_t)0x9aa3ec83, (q31_t)0x4e260019, (q31_t)0x9aa01659,
+  (q31_t)0x4e210617, (q31_t)0x9a9c406e, (q31_t)0x4e1c0be6, (q31_t)0x9a986ac1, (q31_t)0x4e171184, (q31_t)0x9a949552, (q31_t)0x4e1216f2, (q31_t)0x9a90c022,
+  (q31_t)0x4e0d1c30, (q31_t)0x9a8ceb31, (q31_t)0x4e08213e, (q31_t)0x9a89167e, (q31_t)0x4e03261b, (q31_t)0x9a85420a, (q31_t)0x4dfe2ac9, (q31_t)0x9a816dd5,
+  (q31_t)0x4df92f46, (q31_t)0x9a7d99de, (q31_t)0x4df43393, (q31_t)0x9a79c625, (q31_t)0x4def37b0, (q31_t)0x9a75f2ac, (q31_t)0x4dea3b9d, (q31_t)0x9a721f71,
+  (q31_t)0x4de53f5a, (q31_t)0x9a6e4c74, (q31_t)0x4de042e7, (q31_t)0x9a6a79b6, (q31_t)0x4ddb4644, (q31_t)0x9a66a737, (q31_t)0x4dd64971, (q31_t)0x9a62d4f7,
+  (q31_t)0x4dd14c6e, (q31_t)0x9a5f02f5, (q31_t)0x4dcc4f3b, (q31_t)0x9a5b3132, (q31_t)0x4dc751d8, (q31_t)0x9a575fae, (q31_t)0x4dc25445, (q31_t)0x9a538e68,
+  (q31_t)0x4dbd5682, (q31_t)0x9a4fbd61, (q31_t)0x4db8588f, (q31_t)0x9a4bec99, (q31_t)0x4db35a6c, (q31_t)0x9a481c0f, (q31_t)0x4dae5c19, (q31_t)0x9a444bc5,
+  (q31_t)0x4da95d96, (q31_t)0x9a407bb9, (q31_t)0x4da45ee3, (q31_t)0x9a3cabeb, (q31_t)0x4d9f6001, (q31_t)0x9a38dc5d, (q31_t)0x4d9a60ee, (q31_t)0x9a350d0d,
+  (q31_t)0x4d9561ac, (q31_t)0x9a313dfc, (q31_t)0x4d90623a, (q31_t)0x9a2d6f2a, (q31_t)0x4d8b6298, (q31_t)0x9a29a097, (q31_t)0x4d8662c6, (q31_t)0x9a25d243,
+  (q31_t)0x4d8162c4, (q31_t)0x9a22042d, (q31_t)0x4d7c6293, (q31_t)0x9a1e3656, (q31_t)0x4d776231, (q31_t)0x9a1a68be, (q31_t)0x4d7261a0, (q31_t)0x9a169b65,
+  (q31_t)0x4d6d60df, (q31_t)0x9a12ce4b, (q31_t)0x4d685fef, (q31_t)0x9a0f016f, (q31_t)0x4d635ece, (q31_t)0x9a0b34d3, (q31_t)0x4d5e5d7e, (q31_t)0x9a076875,
+  (q31_t)0x4d595bfe, (q31_t)0x9a039c57, (q31_t)0x4d545a4f, (q31_t)0x99ffd077, (q31_t)0x4d4f5870, (q31_t)0x99fc04d6, (q31_t)0x4d4a5661, (q31_t)0x99f83974,
+  (q31_t)0x4d455422, (q31_t)0x99f46e51, (q31_t)0x4d4051b4, (q31_t)0x99f0a36d, (q31_t)0x4d3b4f16, (q31_t)0x99ecd8c8, (q31_t)0x4d364c48, (q31_t)0x99e90e62,
+  (q31_t)0x4d31494b, (q31_t)0x99e5443b, (q31_t)0x4d2c461e, (q31_t)0x99e17a53, (q31_t)0x4d2742c2, (q31_t)0x99ddb0aa, (q31_t)0x4d223f36, (q31_t)0x99d9e73f,
+  (q31_t)0x4d1d3b7a, (q31_t)0x99d61e14, (q31_t)0x4d18378f, (q31_t)0x99d25528, (q31_t)0x4d133374, (q31_t)0x99ce8c7b, (q31_t)0x4d0e2f2a, (q31_t)0x99cac40d,
+  (q31_t)0x4d092ab0, (q31_t)0x99c6fbde, (q31_t)0x4d042607, (q31_t)0x99c333ee, (q31_t)0x4cff212e, (q31_t)0x99bf6c3d, (q31_t)0x4cfa1c26, (q31_t)0x99bba4cb,
+  (q31_t)0x4cf516ee, (q31_t)0x99b7dd99, (q31_t)0x4cf01187, (q31_t)0x99b416a5, (q31_t)0x4ceb0bf0, (q31_t)0x99b04ff0, (q31_t)0x4ce6062a, (q31_t)0x99ac897b,
+  (q31_t)0x4ce10034, (q31_t)0x99a8c345, (q31_t)0x4cdbfa0f, (q31_t)0x99a4fd4d, (q31_t)0x4cd6f3bb, (q31_t)0x99a13795, (q31_t)0x4cd1ed37, (q31_t)0x999d721c,
+  (q31_t)0x4ccce684, (q31_t)0x9999ace3, (q31_t)0x4cc7dfa1, (q31_t)0x9995e7e8, (q31_t)0x4cc2d88f, (q31_t)0x9992232d, (q31_t)0x4cbdd14e, (q31_t)0x998e5eb1,
+  (q31_t)0x4cb8c9dd, (q31_t)0x998a9a74, (q31_t)0x4cb3c23d, (q31_t)0x9986d676, (q31_t)0x4caeba6e, (q31_t)0x998312b7, (q31_t)0x4ca9b26f, (q31_t)0x997f4f38,
+  (q31_t)0x4ca4aa41, (q31_t)0x997b8bf8, (q31_t)0x4c9fa1e4, (q31_t)0x9977c8f7, (q31_t)0x4c9a9958, (q31_t)0x99740635, (q31_t)0x4c95909c, (q31_t)0x997043b2,
+  (q31_t)0x4c9087b1, (q31_t)0x996c816f, (q31_t)0x4c8b7e97, (q31_t)0x9968bf6b, (q31_t)0x4c86754e, (q31_t)0x9964fda7, (q31_t)0x4c816bd5, (q31_t)0x99613c22,
+  (q31_t)0x4c7c622d, (q31_t)0x995d7adc, (q31_t)0x4c775856, (q31_t)0x9959b9d5, (q31_t)0x4c724e50, (q31_t)0x9955f90d, (q31_t)0x4c6d441b, (q31_t)0x99523885,
+  (q31_t)0x4c6839b7, (q31_t)0x994e783d, (q31_t)0x4c632f23, (q31_t)0x994ab833, (q31_t)0x4c5e2460, (q31_t)0x9946f869, (q31_t)0x4c59196f, (q31_t)0x994338df,
+  (q31_t)0x4c540e4e, (q31_t)0x993f7993, (q31_t)0x4c4f02fe, (q31_t)0x993bba87, (q31_t)0x4c49f77f, (q31_t)0x9937fbbb, (q31_t)0x4c44ebd1, (q31_t)0x99343d2e,
+  (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4c3ad3e7, (q31_t)0x992cc0d2, (q31_t)0x4c35c7ac, (q31_t)0x99290303, (q31_t)0x4c30bb42, (q31_t)0x99254574,
+  (q31_t)0x4c2baea9, (q31_t)0x99218824, (q31_t)0x4c26a1e1, (q31_t)0x991dcb13, (q31_t)0x4c2194e9, (q31_t)0x991a0e42, (q31_t)0x4c1c87c3, (q31_t)0x991651b1,
+  (q31_t)0x4c177a6e, (q31_t)0x9912955f, (q31_t)0x4c126cea, (q31_t)0x990ed94c, (q31_t)0x4c0d5f37, (q31_t)0x990b1d79, (q31_t)0x4c085156, (q31_t)0x990761e5,
+  (q31_t)0x4c034345, (q31_t)0x9903a691, (q31_t)0x4bfe3505, (q31_t)0x98ffeb7d, (q31_t)0x4bf92697, (q31_t)0x98fc30a8, (q31_t)0x4bf417f9, (q31_t)0x98f87612,
+  (q31_t)0x4bef092d, (q31_t)0x98f4bbbc, (q31_t)0x4be9fa32, (q31_t)0x98f101a6, (q31_t)0x4be4eb08, (q31_t)0x98ed47cf, (q31_t)0x4bdfdbaf, (q31_t)0x98e98e38,
+  (q31_t)0x4bdacc28, (q31_t)0x98e5d4e0, (q31_t)0x4bd5bc72, (q31_t)0x98e21bc8, (q31_t)0x4bd0ac8d, (q31_t)0x98de62f0, (q31_t)0x4bcb9c79, (q31_t)0x98daaa57,
+  (q31_t)0x4bc68c36, (q31_t)0x98d6f1fe, (q31_t)0x4bc17bc5, (q31_t)0x98d339e4, (q31_t)0x4bbc6b25, (q31_t)0x98cf820b, (q31_t)0x4bb75a56, (q31_t)0x98cbca70,
+  (q31_t)0x4bb24958, (q31_t)0x98c81316, (q31_t)0x4bad382c, (q31_t)0x98c45bfb, (q31_t)0x4ba826d1, (q31_t)0x98c0a520, (q31_t)0x4ba31548, (q31_t)0x98bcee84,
+  (q31_t)0x4b9e0390, (q31_t)0x98b93828, (q31_t)0x4b98f1a9, (q31_t)0x98b5820c, (q31_t)0x4b93df93, (q31_t)0x98b1cc30, (q31_t)0x4b8ecd4f, (q31_t)0x98ae1693,
+  (q31_t)0x4b89badd, (q31_t)0x98aa6136, (q31_t)0x4b84a83b, (q31_t)0x98a6ac19, (q31_t)0x4b7f956b, (q31_t)0x98a2f73c, (q31_t)0x4b7a826d, (q31_t)0x989f429e,
+  (q31_t)0x4b756f40, (q31_t)0x989b8e40, (q31_t)0x4b705be4, (q31_t)0x9897da22, (q31_t)0x4b6b485a, (q31_t)0x98942643, (q31_t)0x4b6634a2, (q31_t)0x989072a5,
+  (q31_t)0x4b6120bb, (q31_t)0x988cbf46, (q31_t)0x4b5c0ca5, (q31_t)0x98890c27, (q31_t)0x4b56f861, (q31_t)0x98855948, (q31_t)0x4b51e3ee, (q31_t)0x9881a6a9,
+  (q31_t)0x4b4ccf4d, (q31_t)0x987df449, (q31_t)0x4b47ba7e, (q31_t)0x987a422a, (q31_t)0x4b42a580, (q31_t)0x9876904a, (q31_t)0x4b3d9053, (q31_t)0x9872deaa,
+  (q31_t)0x4b387af9, (q31_t)0x986f2d4a, (q31_t)0x4b336570, (q31_t)0x986b7c2a, (q31_t)0x4b2e4fb8, (q31_t)0x9867cb4a, (q31_t)0x4b2939d2, (q31_t)0x98641aa9,
+  (q31_t)0x4b2423be, (q31_t)0x98606a49, (q31_t)0x4b1f0d7b, (q31_t)0x985cba28, (q31_t)0x4b19f70a, (q31_t)0x98590a48, (q31_t)0x4b14e06b, (q31_t)0x98555aa7,
+  (q31_t)0x4b0fc99d, (q31_t)0x9851ab46, (q31_t)0x4b0ab2a1, (q31_t)0x984dfc26, (q31_t)0x4b059b77, (q31_t)0x984a4d45, (q31_t)0x4b00841f, (q31_t)0x98469ea4,
+  (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x4af654e3, (q31_t)0x983f4223, (q31_t)0x4af13d00, (q31_t)0x983b9442, (q31_t)0x4aec24ee, (q31_t)0x9837e6a1,
+  (q31_t)0x4ae70caf, (q31_t)0x98343940, (q31_t)0x4ae1f441, (q31_t)0x98308c1f, (q31_t)0x4adcdba5, (q31_t)0x982cdf3f, (q31_t)0x4ad7c2da, (q31_t)0x9829329e,
+  (q31_t)0x4ad2a9e2, (q31_t)0x9825863d, (q31_t)0x4acd90bb, (q31_t)0x9821da1d, (q31_t)0x4ac87767, (q31_t)0x981e2e3c, (q31_t)0x4ac35de4, (q31_t)0x981a829c,
+  (q31_t)0x4abe4433, (q31_t)0x9816d73b, (q31_t)0x4ab92a54, (q31_t)0x98132c1b, (q31_t)0x4ab41046, (q31_t)0x980f813b, (q31_t)0x4aaef60b, (q31_t)0x980bd69b,
+  (q31_t)0x4aa9dba2, (q31_t)0x98082c3b, (q31_t)0x4aa4c10b, (q31_t)0x9804821b, (q31_t)0x4a9fa645, (q31_t)0x9800d83c, (q31_t)0x4a9a8b52, (q31_t)0x97fd2e9c,
+  (q31_t)0x4a957030, (q31_t)0x97f9853d, (q31_t)0x4a9054e1, (q31_t)0x97f5dc1e, (q31_t)0x4a8b3963, (q31_t)0x97f2333f, (q31_t)0x4a861db8, (q31_t)0x97ee8aa0,
+  (q31_t)0x4a8101de, (q31_t)0x97eae242, (q31_t)0x4a7be5d7, (q31_t)0x97e73a23, (q31_t)0x4a76c9a2, (q31_t)0x97e39245, (q31_t)0x4a71ad3e, (q31_t)0x97dfeaa7,
+  (q31_t)0x4a6c90ad, (q31_t)0x97dc4349, (q31_t)0x4a6773ee, (q31_t)0x97d89c2c, (q31_t)0x4a625701, (q31_t)0x97d4f54f, (q31_t)0x4a5d39e6, (q31_t)0x97d14eb2,
+  (q31_t)0x4a581c9e, (q31_t)0x97cda855, (q31_t)0x4a52ff27, (q31_t)0x97ca0239, (q31_t)0x4a4de182, (q31_t)0x97c65c5c, (q31_t)0x4a48c3b0, (q31_t)0x97c2b6c1,
+  (q31_t)0x4a43a5b0, (q31_t)0x97bf1165, (q31_t)0x4a3e8782, (q31_t)0x97bb6c4a, (q31_t)0x4a396926, (q31_t)0x97b7c76f, (q31_t)0x4a344a9d, (q31_t)0x97b422d4,
+  (q31_t)0x4a2f2be6, (q31_t)0x97b07e7a, (q31_t)0x4a2a0d01, (q31_t)0x97acda60, (q31_t)0x4a24edee, (q31_t)0x97a93687, (q31_t)0x4a1fcead, (q31_t)0x97a592ed,
+  (q31_t)0x4a1aaf3f, (q31_t)0x97a1ef94, (q31_t)0x4a158fa3, (q31_t)0x979e4c7c, (q31_t)0x4a106fda, (q31_t)0x979aa9a4, (q31_t)0x4a0b4fe2, (q31_t)0x9797070c,
+  (q31_t)0x4a062fbd, (q31_t)0x979364b5, (q31_t)0x4a010f6b, (q31_t)0x978fc29e, (q31_t)0x49fbeeea, (q31_t)0x978c20c8, (q31_t)0x49f6ce3c, (q31_t)0x97887f32,
+  (q31_t)0x49f1ad61, (q31_t)0x9784dddc, (q31_t)0x49ec8c57, (q31_t)0x97813cc7, (q31_t)0x49e76b21, (q31_t)0x977d9bf2, (q31_t)0x49e249bc, (q31_t)0x9779fb5e,
+  (q31_t)0x49dd282a, (q31_t)0x97765b0a, (q31_t)0x49d8066b, (q31_t)0x9772baf7, (q31_t)0x49d2e47e, (q31_t)0x976f1b24, (q31_t)0x49cdc263, (q31_t)0x976b7b92,
+  (q31_t)0x49c8a01b, (q31_t)0x9767dc41, (q31_t)0x49c37da5, (q31_t)0x97643d2f, (q31_t)0x49be5b02, (q31_t)0x97609e5f, (q31_t)0x49b93832, (q31_t)0x975cffcf,
+  (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x49aef208, (q31_t)0x9755c370, (q31_t)0x49a9ceaf, (q31_t)0x975225a1, (q31_t)0x49a4ab28, (q31_t)0x974e8813,
+  (q31_t)0x499f8774, (q31_t)0x974aeac6, (q31_t)0x499a6393, (q31_t)0x97474db9, (q31_t)0x49953f84, (q31_t)0x9743b0ed, (q31_t)0x49901b48, (q31_t)0x97401462,
+  (q31_t)0x498af6df, (q31_t)0x973c7817, (q31_t)0x4985d248, (q31_t)0x9738dc0d, (q31_t)0x4980ad84, (q31_t)0x97354043, (q31_t)0x497b8892, (q31_t)0x9731a4ba,
+  (q31_t)0x49766373, (q31_t)0x972e0971, (q31_t)0x49713e27, (q31_t)0x972a6e6a, (q31_t)0x496c18ae, (q31_t)0x9726d3a3, (q31_t)0x4966f307, (q31_t)0x9723391c,
+  (q31_t)0x4961cd33, (q31_t)0x971f9ed7, (q31_t)0x495ca732, (q31_t)0x971c04d2, (q31_t)0x49578103, (q31_t)0x97186b0d, (q31_t)0x49525aa7, (q31_t)0x9714d18a,
+  (q31_t)0x494d341e, (q31_t)0x97113847, (q31_t)0x49480d68, (q31_t)0x970d9f45, (q31_t)0x4942e684, (q31_t)0x970a0683, (q31_t)0x493dbf74, (q31_t)0x97066e03,
+  (q31_t)0x49389836, (q31_t)0x9702d5c3, (q31_t)0x493370cb, (q31_t)0x96ff3dc4, (q31_t)0x492e4933, (q31_t)0x96fba605, (q31_t)0x4929216e, (q31_t)0x96f80e88,
+  (q31_t)0x4923f97b, (q31_t)0x96f4774b, (q31_t)0x491ed15c, (q31_t)0x96f0e04f, (q31_t)0x4919a90f, (q31_t)0x96ed4994, (q31_t)0x49148095, (q31_t)0x96e9b319,
+  (q31_t)0x490f57ee, (q31_t)0x96e61ce0, (q31_t)0x490a2f1b, (q31_t)0x96e286e7, (q31_t)0x4905061a, (q31_t)0x96def12f, (q31_t)0x48ffdcec, (q31_t)0x96db5bb8,
+  (q31_t)0x48fab391, (q31_t)0x96d7c682, (q31_t)0x48f58a09, (q31_t)0x96d4318d, (q31_t)0x48f06054, (q31_t)0x96d09cd8, (q31_t)0x48eb3672, (q31_t)0x96cd0865,
+  (q31_t)0x48e60c62, (q31_t)0x96c97432, (q31_t)0x48e0e227, (q31_t)0x96c5e040, (q31_t)0x48dbb7be, (q31_t)0x96c24c8f, (q31_t)0x48d68d28, (q31_t)0x96beb91f,
+  (q31_t)0x48d16265, (q31_t)0x96bb25f0, (q31_t)0x48cc3775, (q31_t)0x96b79302, (q31_t)0x48c70c59, (q31_t)0x96b40055, (q31_t)0x48c1e10f, (q31_t)0x96b06de9,
+  (q31_t)0x48bcb599, (q31_t)0x96acdbbe, (q31_t)0x48b789f5, (q31_t)0x96a949d3, (q31_t)0x48b25e25, (q31_t)0x96a5b82a, (q31_t)0x48ad3228, (q31_t)0x96a226c2,
+  (q31_t)0x48a805ff, (q31_t)0x969e959b, (q31_t)0x48a2d9a8, (q31_t)0x969b04b4, (q31_t)0x489dad25, (q31_t)0x9697740f, (q31_t)0x48988074, (q31_t)0x9693e3ab,
+  (q31_t)0x48935397, (q31_t)0x96905388, (q31_t)0x488e268e, (q31_t)0x968cc3a5, (q31_t)0x4888f957, (q31_t)0x96893404, (q31_t)0x4883cbf4, (q31_t)0x9685a4a4,
+  (q31_t)0x487e9e64, (q31_t)0x96821585, (q31_t)0x487970a7, (q31_t)0x967e86a7, (q31_t)0x487442be, (q31_t)0x967af80a, (q31_t)0x486f14a8, (q31_t)0x967769af,
+  (q31_t)0x4869e665, (q31_t)0x9673db94, (q31_t)0x4864b7f5, (q31_t)0x96704dba, (q31_t)0x485f8959, (q31_t)0x966cc022, (q31_t)0x485a5a90, (q31_t)0x966932cb,
+  (q31_t)0x48552b9b, (q31_t)0x9665a5b4, (q31_t)0x484ffc79, (q31_t)0x966218df, (q31_t)0x484acd2a, (q31_t)0x965e8c4b, (q31_t)0x48459daf, (q31_t)0x965afff9,
+  (q31_t)0x48406e08, (q31_t)0x965773e7, (q31_t)0x483b3e33, (q31_t)0x9653e817, (q31_t)0x48360e32, (q31_t)0x96505c88, (q31_t)0x4830de05, (q31_t)0x964cd139,
+  (q31_t)0x482badab, (q31_t)0x9649462d, (q31_t)0x48267d24, (q31_t)0x9645bb61, (q31_t)0x48214c71, (q31_t)0x964230d7, (q31_t)0x481c1b92, (q31_t)0x963ea68d,
+  (q31_t)0x4816ea86, (q31_t)0x963b1c86, (q31_t)0x4811b94d, (q31_t)0x963792bf, (q31_t)0x480c87e8, (q31_t)0x96340939, (q31_t)0x48075657, (q31_t)0x96307ff5,
+  (q31_t)0x48022499, (q31_t)0x962cf6f2, (q31_t)0x47fcf2af, (q31_t)0x96296e31, (q31_t)0x47f7c099, (q31_t)0x9625e5b0, (q31_t)0x47f28e56, (q31_t)0x96225d71,
+  (q31_t)0x47ed5be6, (q31_t)0x961ed574, (q31_t)0x47e8294a, (q31_t)0x961b4db7, (q31_t)0x47e2f682, (q31_t)0x9617c63c, (q31_t)0x47ddc38e, (q31_t)0x96143f02,
+  (q31_t)0x47d8906d, (q31_t)0x9610b80a, (q31_t)0x47d35d20, (q31_t)0x960d3153, (q31_t)0x47ce29a7, (q31_t)0x9609aadd, (q31_t)0x47c8f601, (q31_t)0x960624a9,
+  (q31_t)0x47c3c22f, (q31_t)0x96029eb6, (q31_t)0x47be8e31, (q31_t)0x95ff1904, (q31_t)0x47b95a06, (q31_t)0x95fb9394, (q31_t)0x47b425af, (q31_t)0x95f80e65,
+  (q31_t)0x47aef12c, (q31_t)0x95f48977, (q31_t)0x47a9bc7d, (q31_t)0x95f104cb, (q31_t)0x47a487a2, (q31_t)0x95ed8061, (q31_t)0x479f529a, (q31_t)0x95e9fc38,
+  (q31_t)0x479a1d67, (q31_t)0x95e67850, (q31_t)0x4794e807, (q31_t)0x95e2f4a9, (q31_t)0x478fb27b, (q31_t)0x95df7145, (q31_t)0x478a7cc2, (q31_t)0x95dbee21,
+  (q31_t)0x478546de, (q31_t)0x95d86b3f, (q31_t)0x478010cd, (q31_t)0x95d4e89f, (q31_t)0x477ada91, (q31_t)0x95d16640, (q31_t)0x4775a428, (q31_t)0x95cde423,
+  (q31_t)0x47706d93, (q31_t)0x95ca6247, (q31_t)0x476b36d3, (q31_t)0x95c6e0ac, (q31_t)0x4765ffe6, (q31_t)0x95c35f53, (q31_t)0x4760c8cd, (q31_t)0x95bfde3c,
+  (q31_t)0x475b9188, (q31_t)0x95bc5d66, (q31_t)0x47565a17, (q31_t)0x95b8dcd2, (q31_t)0x4751227a, (q31_t)0x95b55c7f, (q31_t)0x474beab1, (q31_t)0x95b1dc6e,
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+  (q31_t)0x424f4845, (q31_t)0x9283c568, (q31_t)0x4249e85c, (q31_t)0x92808444, (q31_t)0x42448849, (q31_t)0x927d4363, (q31_t)0x423f280e, (q31_t)0x927a02c7,
+  (q31_t)0x4239c7aa, (q31_t)0x9276c26d, (q31_t)0x4234671d, (q31_t)0x92738258, (q31_t)0x422f0667, (q31_t)0x92704286, (q31_t)0x4229a588, (q31_t)0x926d02f7,
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+  (q31_t)0x41b88e84, (q31_t)0x9229094f, (q31_t)0x41b32a26, (q31_t)0x9225cf91, (q31_t)0x41adc5a0, (q31_t)0x92229617, (q31_t)0x41a860f1, (q31_t)0x921f5ce1,
+  (q31_t)0x41a2fc1a, (q31_t)0x921c23ef, (q31_t)0x419d971b, (q31_t)0x9218eb40, (q31_t)0x419831f3, (q31_t)0x9215b2d5, (q31_t)0x4192cca2, (q31_t)0x92127aae,
+  (q31_t)0x418d6729, (q31_t)0x920f42cb, (q31_t)0x41880188, (q31_t)0x920c0b2c, (q31_t)0x41829bbe, (q31_t)0x9208d3d0, (q31_t)0x417d35cb, (q31_t)0x92059cb8,
+  (q31_t)0x4177cfb1, (q31_t)0x920265e4, (q31_t)0x4172696e, (q31_t)0x91ff2f54, (q31_t)0x416d0302, (q31_t)0x91fbf908, (q31_t)0x41679c6f, (q31_t)0x91f8c300,
+  (q31_t)0x416235b2, (q31_t)0x91f58d3b, (q31_t)0x415ccece, (q31_t)0x91f257bb, (q31_t)0x415767c1, (q31_t)0x91ef227e, (q31_t)0x4152008c, (q31_t)0x91ebed85,
+  (q31_t)0x414c992f, (q31_t)0x91e8b8d0, (q31_t)0x414731a9, (q31_t)0x91e5845f, (q31_t)0x4141c9fb, (q31_t)0x91e25032, (q31_t)0x413c6225, (q31_t)0x91df1c49,
+  (q31_t)0x4136fa27, (q31_t)0x91dbe8a4, (q31_t)0x41319200, (q31_t)0x91d8b542, (q31_t)0x412c29b1, (q31_t)0x91d58225, (q31_t)0x4126c13a, (q31_t)0x91d24f4c,
+  (q31_t)0x4121589b, (q31_t)0x91cf1cb6, (q31_t)0x411befd3, (q31_t)0x91cbea65, (q31_t)0x411686e4, (q31_t)0x91c8b857, (q31_t)0x41111dcc, (q31_t)0x91c5868e,
+  (q31_t)0x410bb48c, (q31_t)0x91c25508, (q31_t)0x41064b24, (q31_t)0x91bf23c7, (q31_t)0x4100e194, (q31_t)0x91bbf2c9, (q31_t)0x40fb77dc, (q31_t)0x91b8c210,
+  (q31_t)0x40f60dfb, (q31_t)0x91b5919a, (q31_t)0x40f0a3f3, (q31_t)0x91b26169, (q31_t)0x40eb39c3, (q31_t)0x91af317c, (q31_t)0x40e5cf6a, (q31_t)0x91ac01d2,
+  (q31_t)0x40e064ea, (q31_t)0x91a8d26d, (q31_t)0x40dafa41, (q31_t)0x91a5a34c, (q31_t)0x40d58f71, (q31_t)0x91a2746f, (q31_t)0x40d02478, (q31_t)0x919f45d6,
+  (q31_t)0x40cab958, (q31_t)0x919c1781, (q31_t)0x40c54e0f, (q31_t)0x9198e970, (q31_t)0x40bfe29f, (q31_t)0x9195bba3, (q31_t)0x40ba7706, (q31_t)0x91928e1a,
+  (q31_t)0x40b50b46, (q31_t)0x918f60d6, (q31_t)0x40af9f5e, (q31_t)0x918c33d5, (q31_t)0x40aa334e, (q31_t)0x91890719, (q31_t)0x40a4c716, (q31_t)0x9185daa1,
+  (q31_t)0x409f5ab6, (q31_t)0x9182ae6d, (q31_t)0x4099ee2e, (q31_t)0x917f827d, (q31_t)0x4094817f, (q31_t)0x917c56d1, (q31_t)0x408f14a7, (q31_t)0x91792b6a,
+  (q31_t)0x4089a7a8, (q31_t)0x91760047, (q31_t)0x40843a81, (q31_t)0x9172d567, (q31_t)0x407ecd32, (q31_t)0x916faacc, (q31_t)0x40795fbc, (q31_t)0x916c8076,
+  (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x406e8457, (q31_t)0x91662c95, (q31_t)0x40691669, (q31_t)0x9163030b, (q31_t)0x4063a854, (q31_t)0x915fd9c5,
+  (q31_t)0x405e3a16, (q31_t)0x915cb0c3, (q31_t)0x4058cbb1, (q31_t)0x91598806, (q31_t)0x40535d24, (q31_t)0x91565f8d, (q31_t)0x404dee70, (q31_t)0x91533758,
+  (q31_t)0x40487f94, (q31_t)0x91500f67, (q31_t)0x40431090, (q31_t)0x914ce7bb, (q31_t)0x403da165, (q31_t)0x9149c053, (q31_t)0x40383212, (q31_t)0x9146992f,
+  (q31_t)0x4032c297, (q31_t)0x91437250, (q31_t)0x402d52f5, (q31_t)0x91404bb5, (q31_t)0x4027e32b, (q31_t)0x913d255e, (q31_t)0x4022733a, (q31_t)0x9139ff4b,
+  (q31_t)0x401d0321, (q31_t)0x9136d97d, (q31_t)0x401792e0, (q31_t)0x9133b3f3, (q31_t)0x40122278, (q31_t)0x91308eae, (q31_t)0x400cb1e9, (q31_t)0x912d69ad,
+  (q31_t)0x40074132, (q31_t)0x912a44f0, (q31_t)0x4001d053, (q31_t)0x91272078, (q31_t)0x3ffc5f4d, (q31_t)0x9123fc44, (q31_t)0x3ff6ee1f, (q31_t)0x9120d854,
+  (q31_t)0x3ff17cca, (q31_t)0x911db4a9, (q31_t)0x3fec0b4e, (q31_t)0x911a9142, (q31_t)0x3fe699aa, (q31_t)0x91176e1f, (q31_t)0x3fe127df, (q31_t)0x91144b41,
+  (q31_t)0x3fdbb5ec, (q31_t)0x911128a8, (q31_t)0x3fd643d2, (q31_t)0x910e0653, (q31_t)0x3fd0d191, (q31_t)0x910ae442, (q31_t)0x3fcb5f28, (q31_t)0x9107c276,
+  (q31_t)0x3fc5ec98, (q31_t)0x9104a0ee, (q31_t)0x3fc079e0, (q31_t)0x91017faa, (q31_t)0x3fbb0702, (q31_t)0x90fe5eab, (q31_t)0x3fb593fb, (q31_t)0x90fb3df1,
+  (q31_t)0x3fb020ce, (q31_t)0x90f81d7b, (q31_t)0x3faaad79, (q31_t)0x90f4fd4a, (q31_t)0x3fa539fd, (q31_t)0x90f1dd5d, (q31_t)0x3f9fc65a, (q31_t)0x90eebdb4,
+  (q31_t)0x3f9a5290, (q31_t)0x90eb9e50, (q31_t)0x3f94de9e, (q31_t)0x90e87f31, (q31_t)0x3f8f6a85, (q31_t)0x90e56056, (q31_t)0x3f89f645, (q31_t)0x90e241bf,
+  (q31_t)0x3f8481dd, (q31_t)0x90df236e, (q31_t)0x3f7f0d4f, (q31_t)0x90dc0560, (q31_t)0x3f799899, (q31_t)0x90d8e798, (q31_t)0x3f7423bc, (q31_t)0x90d5ca13,
+  (q31_t)0x3f6eaeb8, (q31_t)0x90d2acd4, (q31_t)0x3f69398d, (q31_t)0x90cf8fd9, (q31_t)0x3f63c43b, (q31_t)0x90cc7322, (q31_t)0x3f5e4ec2, (q31_t)0x90c956b1,
+  (q31_t)0x3f58d921, (q31_t)0x90c63a83, (q31_t)0x3f53635a, (q31_t)0x90c31e9b, (q31_t)0x3f4ded6b, (q31_t)0x90c002f7, (q31_t)0x3f487755, (q31_t)0x90bce797,
+  (q31_t)0x3f430119, (q31_t)0x90b9cc7d, (q31_t)0x3f3d8ab5, (q31_t)0x90b6b1a6, (q31_t)0x3f38142a, (q31_t)0x90b39715, (q31_t)0x3f329d79, (q31_t)0x90b07cc8,
+  (q31_t)0x3f2d26a0, (q31_t)0x90ad62c0, (q31_t)0x3f27afa1, (q31_t)0x90aa48fd, (q31_t)0x3f22387a, (q31_t)0x90a72f7e, (q31_t)0x3f1cc12c, (q31_t)0x90a41644,
+  (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3f11d21d, (q31_t)0x909de49e, (q31_t)0x3f0c5a5a, (q31_t)0x909acc32, (q31_t)0x3f06e271, (q31_t)0x9097b40a,
+  (q31_t)0x3f016a61, (q31_t)0x90949c28, (q31_t)0x3efbf22a, (q31_t)0x9091848a, (q31_t)0x3ef679cc, (q31_t)0x908e6d31, (q31_t)0x3ef10148, (q31_t)0x908b561c,
+  (q31_t)0x3eeb889c, (q31_t)0x90883f4d, (q31_t)0x3ee60fca, (q31_t)0x908528c2, (q31_t)0x3ee096d1, (q31_t)0x9082127c, (q31_t)0x3edb1db1, (q31_t)0x907efc7a,
+  (q31_t)0x3ed5a46b, (q31_t)0x907be6be, (q31_t)0x3ed02afd, (q31_t)0x9078d146, (q31_t)0x3ecab169, (q31_t)0x9075bc13, (q31_t)0x3ec537ae, (q31_t)0x9072a725,
+  (q31_t)0x3ebfbdcd, (q31_t)0x906f927c, (q31_t)0x3eba43c4, (q31_t)0x906c7e17, (q31_t)0x3eb4c995, (q31_t)0x906969f8, (q31_t)0x3eaf4f40, (q31_t)0x9066561d,
+  (q31_t)0x3ea9d4c3, (q31_t)0x90634287, (q31_t)0x3ea45a21, (q31_t)0x90602f35, (q31_t)0x3e9edf57, (q31_t)0x905d1c29, (q31_t)0x3e996467, (q31_t)0x905a0962,
+  (q31_t)0x3e93e950, (q31_t)0x9056f6df, (q31_t)0x3e8e6e12, (q31_t)0x9053e4a1, (q31_t)0x3e88f2ae, (q31_t)0x9050d2a9, (q31_t)0x3e837724, (q31_t)0x904dc0f5,
+  (q31_t)0x3e7dfb73, (q31_t)0x904aaf86, (q31_t)0x3e787f9b, (q31_t)0x90479e5c, (q31_t)0x3e73039d, (q31_t)0x90448d76, (q31_t)0x3e6d8778, (q31_t)0x90417cd6,
+  (q31_t)0x3e680b2c, (q31_t)0x903e6c7b, (q31_t)0x3e628ebb, (q31_t)0x903b5c64, (q31_t)0x3e5d1222, (q31_t)0x90384c93, (q31_t)0x3e579564, (q31_t)0x90353d06,
+  (q31_t)0x3e52187f, (q31_t)0x90322dbf, (q31_t)0x3e4c9b73, (q31_t)0x902f1ebc, (q31_t)0x3e471e41, (q31_t)0x902c0fff, (q31_t)0x3e41a0e8, (q31_t)0x90290186,
+  (q31_t)0x3e3c2369, (q31_t)0x9025f352, (q31_t)0x3e36a5c4, (q31_t)0x9022e564, (q31_t)0x3e3127f9, (q31_t)0x901fd7ba, (q31_t)0x3e2baa07, (q31_t)0x901cca55,
+  (q31_t)0x3e262bee, (q31_t)0x9019bd36, (q31_t)0x3e20adaf, (q31_t)0x9016b05b, (q31_t)0x3e1b2f4a, (q31_t)0x9013a3c5, (q31_t)0x3e15b0bf, (q31_t)0x90109775,
+  (q31_t)0x3e10320d, (q31_t)0x900d8b69, (q31_t)0x3e0ab336, (q31_t)0x900a7fa3, (q31_t)0x3e053437, (q31_t)0x90077422, (q31_t)0x3dffb513, (q31_t)0x900468e5,
+  (q31_t)0x3dfa35c8, (q31_t)0x90015dee, (q31_t)0x3df4b657, (q31_t)0x8ffe533c, (q31_t)0x3def36c0, (q31_t)0x8ffb48cf, (q31_t)0x3de9b703, (q31_t)0x8ff83ea7,
+  (q31_t)0x3de4371f, (q31_t)0x8ff534c4, (q31_t)0x3ddeb716, (q31_t)0x8ff22b26, (q31_t)0x3dd936e6, (q31_t)0x8fef21ce, (q31_t)0x3dd3b690, (q31_t)0x8fec18ba,
+  (q31_t)0x3dce3614, (q31_t)0x8fe90fec, (q31_t)0x3dc8b571, (q31_t)0x8fe60763, (q31_t)0x3dc334a9, (q31_t)0x8fe2ff1f, (q31_t)0x3dbdb3ba, (q31_t)0x8fdff720,
+  (q31_t)0x3db832a6, (q31_t)0x8fdcef66, (q31_t)0x3db2b16b, (q31_t)0x8fd9e7f2, (q31_t)0x3dad300b, (q31_t)0x8fd6e0c2, (q31_t)0x3da7ae84, (q31_t)0x8fd3d9d8,
+  (q31_t)0x3da22cd7, (q31_t)0x8fd0d333, (q31_t)0x3d9cab04, (q31_t)0x8fcdccd3, (q31_t)0x3d97290b, (q31_t)0x8fcac6b9, (q31_t)0x3d91a6ed, (q31_t)0x8fc7c0e3,
+  (q31_t)0x3d8c24a8, (q31_t)0x8fc4bb53, (q31_t)0x3d86a23d, (q31_t)0x8fc1b608, (q31_t)0x3d811fac, (q31_t)0x8fbeb103, (q31_t)0x3d7b9cf6, (q31_t)0x8fbbac42,
+  (q31_t)0x3d761a19, (q31_t)0x8fb8a7c7, (q31_t)0x3d709717, (q31_t)0x8fb5a391, (q31_t)0x3d6b13ee, (q31_t)0x8fb29fa0, (q31_t)0x3d6590a0, (q31_t)0x8faf9bf5,
+  (q31_t)0x3d600d2c, (q31_t)0x8fac988f, (q31_t)0x3d5a8992, (q31_t)0x8fa9956e, (q31_t)0x3d5505d2, (q31_t)0x8fa69293, (q31_t)0x3d4f81ec, (q31_t)0x8fa38ffc,
+  (q31_t)0x3d49fde1, (q31_t)0x8fa08dab, (q31_t)0x3d4479b0, (q31_t)0x8f9d8ba0, (q31_t)0x3d3ef559, (q31_t)0x8f9a89da, (q31_t)0x3d3970dc, (q31_t)0x8f978859,
+  (q31_t)0x3d33ec39, (q31_t)0x8f94871d, (q31_t)0x3d2e6771, (q31_t)0x8f918627, (q31_t)0x3d28e282, (q31_t)0x8f8e8576, (q31_t)0x3d235d6f, (q31_t)0x8f8b850a,
+  (q31_t)0x3d1dd835, (q31_t)0x8f8884e4, (q31_t)0x3d1852d6, (q31_t)0x8f858503, (q31_t)0x3d12cd51, (q31_t)0x8f828568, (q31_t)0x3d0d47a6, (q31_t)0x8f7f8612,
+  (q31_t)0x3d07c1d6, (q31_t)0x8f7c8701, (q31_t)0x3d023be0, (q31_t)0x8f798836, (q31_t)0x3cfcb5c4, (q31_t)0x8f7689b0, (q31_t)0x3cf72f83, (q31_t)0x8f738b70,
+  (q31_t)0x3cf1a91c, (q31_t)0x8f708d75, (q31_t)0x3cec2290, (q31_t)0x8f6d8fbf, (q31_t)0x3ce69bde, (q31_t)0x8f6a924f, (q31_t)0x3ce11507, (q31_t)0x8f679525,
+  (q31_t)0x3cdb8e09, (q31_t)0x8f649840, (q31_t)0x3cd606e7, (q31_t)0x8f619ba0, (q31_t)0x3cd07f9f, (q31_t)0x8f5e9f46, (q31_t)0x3ccaf831, (q31_t)0x8f5ba331,
+  (q31_t)0x3cc5709e, (q31_t)0x8f58a761, (q31_t)0x3cbfe8e5, (q31_t)0x8f55abd8, (q31_t)0x3cba6107, (q31_t)0x8f52b093, (q31_t)0x3cb4d904, (q31_t)0x8f4fb595,
+  (q31_t)0x3caf50da, (q31_t)0x8f4cbadb, (q31_t)0x3ca9c88c, (q31_t)0x8f49c067, (q31_t)0x3ca44018, (q31_t)0x8f46c639, (q31_t)0x3c9eb77f, (q31_t)0x8f43cc50,
+  (q31_t)0x3c992ec0, (q31_t)0x8f40d2ad, (q31_t)0x3c93a5dc, (q31_t)0x8f3dd950, (q31_t)0x3c8e1cd3, (q31_t)0x8f3ae038, (q31_t)0x3c8893a4, (q31_t)0x8f37e765,
+  (q31_t)0x3c830a50, (q31_t)0x8f34eed8, (q31_t)0x3c7d80d6, (q31_t)0x8f31f691, (q31_t)0x3c77f737, (q31_t)0x8f2efe8f, (q31_t)0x3c726d73, (q31_t)0x8f2c06d3,
+  (q31_t)0x3c6ce38a, (q31_t)0x8f290f5c, (q31_t)0x3c67597b, (q31_t)0x8f26182b, (q31_t)0x3c61cf48, (q31_t)0x8f232140, (q31_t)0x3c5c44ee, (q31_t)0x8f202a9a,
+  (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3c512fcc, (q31_t)0x8f1a3e1f, (q31_t)0x3c4ba504, (q31_t)0x8f17484b, (q31_t)0x3c461a16, (q31_t)0x8f1452bb,
+  (q31_t)0x3c408f03, (q31_t)0x8f115d72, (q31_t)0x3c3b03ca, (q31_t)0x8f0e686e, (q31_t)0x3c35786d, (q31_t)0x8f0b73b0, (q31_t)0x3c2fecea, (q31_t)0x8f087f37,
+  (q31_t)0x3c2a6142, (q31_t)0x8f058b04, (q31_t)0x3c24d575, (q31_t)0x8f029717, (q31_t)0x3c1f4983, (q31_t)0x8effa370, (q31_t)0x3c19bd6c, (q31_t)0x8efcb00e,
+  (q31_t)0x3c143130, (q31_t)0x8ef9bcf2, (q31_t)0x3c0ea4cf, (q31_t)0x8ef6ca1c, (q31_t)0x3c091849, (q31_t)0x8ef3d78b, (q31_t)0x3c038b9e, (q31_t)0x8ef0e540,
+  (q31_t)0x3bfdfecd, (q31_t)0x8eedf33b, (q31_t)0x3bf871d8, (q31_t)0x8eeb017c, (q31_t)0x3bf2e4be, (q31_t)0x8ee81002, (q31_t)0x3bed577e, (q31_t)0x8ee51ece,
+  (q31_t)0x3be7ca1a, (q31_t)0x8ee22de0, (q31_t)0x3be23c91, (q31_t)0x8edf3d38, (q31_t)0x3bdcaee3, (q31_t)0x8edc4cd5, (q31_t)0x3bd72110, (q31_t)0x8ed95cb8,
+  (q31_t)0x3bd19318, (q31_t)0x8ed66ce1, (q31_t)0x3bcc04fb, (q31_t)0x8ed37d50, (q31_t)0x3bc676b9, (q31_t)0x8ed08e05, (q31_t)0x3bc0e853, (q31_t)0x8ecd9eff,
+  (q31_t)0x3bbb59c7, (q31_t)0x8ecab040, (q31_t)0x3bb5cb17, (q31_t)0x8ec7c1c6, (q31_t)0x3bb03c42, (q31_t)0x8ec4d392, (q31_t)0x3baaad48, (q31_t)0x8ec1e5a4,
+  (q31_t)0x3ba51e29, (q31_t)0x8ebef7fb, (q31_t)0x3b9f8ee5, (q31_t)0x8ebc0a99, (q31_t)0x3b99ff7d, (q31_t)0x8eb91d7c, (q31_t)0x3b946ff0, (q31_t)0x8eb630a6,
+  (q31_t)0x3b8ee03e, (q31_t)0x8eb34415, (q31_t)0x3b895068, (q31_t)0x8eb057ca, (q31_t)0x3b83c06c, (q31_t)0x8ead6bc5, (q31_t)0x3b7e304c, (q31_t)0x8eaa8006,
+  (q31_t)0x3b78a007, (q31_t)0x8ea7948c, (q31_t)0x3b730f9e, (q31_t)0x8ea4a959, (q31_t)0x3b6d7f10, (q31_t)0x8ea1be6c, (q31_t)0x3b67ee5d, (q31_t)0x8e9ed3c4,
+  (q31_t)0x3b625d86, (q31_t)0x8e9be963, (q31_t)0x3b5ccc8a, (q31_t)0x8e98ff47, (q31_t)0x3b573b69, (q31_t)0x8e961571, (q31_t)0x3b51aa24, (q31_t)0x8e932be2,
+  (q31_t)0x3b4c18ba, (q31_t)0x8e904298, (q31_t)0x3b46872c, (q31_t)0x8e8d5994, (q31_t)0x3b40f579, (q31_t)0x8e8a70d7, (q31_t)0x3b3b63a1, (q31_t)0x8e87885f,
+  (q31_t)0x3b35d1a5, (q31_t)0x8e84a02d, (q31_t)0x3b303f84, (q31_t)0x8e81b841, (q31_t)0x3b2aad3f, (q31_t)0x8e7ed09b, (q31_t)0x3b251ad6, (q31_t)0x8e7be93c,
+  (q31_t)0x3b1f8848, (q31_t)0x8e790222, (q31_t)0x3b19f595, (q31_t)0x8e761b4e, (q31_t)0x3b1462be, (q31_t)0x8e7334c1, (q31_t)0x3b0ecfc3, (q31_t)0x8e704e79,
+  (q31_t)0x3b093ca3, (q31_t)0x8e6d6877, (q31_t)0x3b03a95e, (q31_t)0x8e6a82bc, (q31_t)0x3afe15f6, (q31_t)0x8e679d47, (q31_t)0x3af88269, (q31_t)0x8e64b817,
+  (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x3aed5ae1, (q31_t)0x8e5eee8b, (q31_t)0x3ae7c6e7, (q31_t)0x8e5c0a2e, (q31_t)0x3ae232c9, (q31_t)0x8e592617,
+  (q31_t)0x3adc9e86, (q31_t)0x8e564246, (q31_t)0x3ad70a1f, (q31_t)0x8e535ebb, (q31_t)0x3ad17593, (q31_t)0x8e507b76, (q31_t)0x3acbe0e3, (q31_t)0x8e4d9878,
+  (q31_t)0x3ac64c0f, (q31_t)0x8e4ab5bf, (q31_t)0x3ac0b717, (q31_t)0x8e47d34d, (q31_t)0x3abb21fb, (q31_t)0x8e44f121, (q31_t)0x3ab58cba, (q31_t)0x8e420f3b,
+  (q31_t)0x3aaff755, (q31_t)0x8e3f2d9b, (q31_t)0x3aaa61cc, (q31_t)0x8e3c4c41, (q31_t)0x3aa4cc1e, (q31_t)0x8e396b2e, (q31_t)0x3a9f364d, (q31_t)0x8e368a61,
+  (q31_t)0x3a99a057, (q31_t)0x8e33a9da, (q31_t)0x3a940a3e, (q31_t)0x8e30c999, (q31_t)0x3a8e7400, (q31_t)0x8e2de99e, (q31_t)0x3a88dd9d, (q31_t)0x8e2b09e9,
+  (q31_t)0x3a834717, (q31_t)0x8e282a7b, (q31_t)0x3a7db06d, (q31_t)0x8e254b53, (q31_t)0x3a78199f, (q31_t)0x8e226c71, (q31_t)0x3a7282ac, (q31_t)0x8e1f8dd6,
+  (q31_t)0x3a6ceb96, (q31_t)0x8e1caf80, (q31_t)0x3a67545b, (q31_t)0x8e19d171, (q31_t)0x3a61bcfd, (q31_t)0x8e16f3a9, (q31_t)0x3a5c257a, (q31_t)0x8e141626,
+  (q31_t)0x3a568dd4, (q31_t)0x8e1138ea, (q31_t)0x3a50f609, (q31_t)0x8e0e5bf4, (q31_t)0x3a4b5e1b, (q31_t)0x8e0b7f44, (q31_t)0x3a45c608, (q31_t)0x8e08a2db,
+  (q31_t)0x3a402dd2, (q31_t)0x8e05c6b7, (q31_t)0x3a3a9577, (q31_t)0x8e02eadb, (q31_t)0x3a34fcf9, (q31_t)0x8e000f44, (q31_t)0x3a2f6457, (q31_t)0x8dfd33f4,
+  (q31_t)0x3a29cb91, (q31_t)0x8dfa58ea, (q31_t)0x3a2432a7, (q31_t)0x8df77e27, (q31_t)0x3a1e9999, (q31_t)0x8df4a3a9, (q31_t)0x3a190068, (q31_t)0x8df1c973,
+  (q31_t)0x3a136712, (q31_t)0x8deeef82, (q31_t)0x3a0dcd99, (q31_t)0x8dec15d8, (q31_t)0x3a0833fc, (q31_t)0x8de93c74, (q31_t)0x3a029a3b, (q31_t)0x8de66357,
+  (q31_t)0x39fd0056, (q31_t)0x8de38a80, (q31_t)0x39f7664e, (q31_t)0x8de0b1ef, (q31_t)0x39f1cc21, (q31_t)0x8dddd9a5, (q31_t)0x39ec31d1, (q31_t)0x8ddb01a1,
+  (q31_t)0x39e6975e, (q31_t)0x8dd829e4, (q31_t)0x39e0fcc6, (q31_t)0x8dd5526d, (q31_t)0x39db620b, (q31_t)0x8dd27b3c, (q31_t)0x39d5c72c, (q31_t)0x8dcfa452,
+  (q31_t)0x39d02c2a, (q31_t)0x8dcccdaf, (q31_t)0x39ca9104, (q31_t)0x8dc9f751, (q31_t)0x39c4f5ba, (q31_t)0x8dc7213b, (q31_t)0x39bf5a4d, (q31_t)0x8dc44b6a,
+  (q31_t)0x39b9bebc, (q31_t)0x8dc175e0, (q31_t)0x39b42307, (q31_t)0x8dbea09d, (q31_t)0x39ae872f, (q31_t)0x8dbbcba0, (q31_t)0x39a8eb33, (q31_t)0x8db8f6ea,
+  (q31_t)0x39a34f13, (q31_t)0x8db6227a, (q31_t)0x399db2d0, (q31_t)0x8db34e50, (q31_t)0x3998166a, (q31_t)0x8db07a6d, (q31_t)0x399279e0, (q31_t)0x8dada6d1,
+  (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x39874061, (q31_t)0x8da8006c, (q31_t)0x3981a36d, (q31_t)0x8da52da3, (q31_t)0x397c0655, (q31_t)0x8da25b21,
+  (q31_t)0x39766919, (q31_t)0x8d9f88e5, (q31_t)0x3970cbba, (q31_t)0x8d9cb6f0, (q31_t)0x396b2e38, (q31_t)0x8d99e541, (q31_t)0x39659092, (q31_t)0x8d9713d9,
+  (q31_t)0x395ff2c9, (q31_t)0x8d9442b8, (q31_t)0x395a54dd, (q31_t)0x8d9171dd, (q31_t)0x3954b6cd, (q31_t)0x8d8ea148, (q31_t)0x394f1899, (q31_t)0x8d8bd0fb,
+  (q31_t)0x39497a43, (q31_t)0x8d8900f3, (q31_t)0x3943dbc9, (q31_t)0x8d863133, (q31_t)0x393e3d2c, (q31_t)0x8d8361b9, (q31_t)0x39389e6b, (q31_t)0x8d809286,
+  (q31_t)0x3932ff87, (q31_t)0x8d7dc399, (q31_t)0x392d6080, (q31_t)0x8d7af4f3, (q31_t)0x3927c155, (q31_t)0x8d782694, (q31_t)0x39222208, (q31_t)0x8d75587b,
+  (q31_t)0x391c8297, (q31_t)0x8d728aa9, (q31_t)0x3916e303, (q31_t)0x8d6fbd1d, (q31_t)0x3911434b, (q31_t)0x8d6cefd9, (q31_t)0x390ba371, (q31_t)0x8d6a22db,
+  (q31_t)0x39060373, (q31_t)0x8d675623, (q31_t)0x39006352, (q31_t)0x8d6489b3, (q31_t)0x38fac30e, (q31_t)0x8d61bd89, (q31_t)0x38f522a6, (q31_t)0x8d5ef1a5,
+  (q31_t)0x38ef821c, (q31_t)0x8d5c2609, (q31_t)0x38e9e16e, (q31_t)0x8d595ab3, (q31_t)0x38e4409e, (q31_t)0x8d568fa4, (q31_t)0x38de9faa, (q31_t)0x8d53c4db,
+  (q31_t)0x38d8fe93, (q31_t)0x8d50fa59, (q31_t)0x38d35d59, (q31_t)0x8d4e301f, (q31_t)0x38cdbbfc, (q31_t)0x8d4b662a, (q31_t)0x38c81a7c, (q31_t)0x8d489c7d,
+  (q31_t)0x38c278d9, (q31_t)0x8d45d316, (q31_t)0x38bcd713, (q31_t)0x8d4309f6, (q31_t)0x38b7352a, (q31_t)0x8d40411d, (q31_t)0x38b1931e, (q31_t)0x8d3d788b,
+  (q31_t)0x38abf0ef, (q31_t)0x8d3ab03f, (q31_t)0x38a64e9d, (q31_t)0x8d37e83a, (q31_t)0x38a0ac29, (q31_t)0x8d35207d, (q31_t)0x389b0991, (q31_t)0x8d325905,
+  (q31_t)0x389566d6, (q31_t)0x8d2f91d5, (q31_t)0x388fc3f8, (q31_t)0x8d2ccaec, (q31_t)0x388a20f8, (q31_t)0x8d2a0449, (q31_t)0x38847dd5, (q31_t)0x8d273ded,
+  (q31_t)0x387eda8e, (q31_t)0x8d2477d8, (q31_t)0x38793725, (q31_t)0x8d21b20a, (q31_t)0x38739399, (q31_t)0x8d1eec83, (q31_t)0x386defeb, (q31_t)0x8d1c2742,
+  (q31_t)0x38684c19, (q31_t)0x8d196249, (q31_t)0x3862a825, (q31_t)0x8d169d96, (q31_t)0x385d040d, (q31_t)0x8d13d92a, (q31_t)0x38575fd4, (q31_t)0x8d111505,
+  (q31_t)0x3851bb77, (q31_t)0x8d0e5127, (q31_t)0x384c16f7, (q31_t)0x8d0b8d90, (q31_t)0x38467255, (q31_t)0x8d08ca40, (q31_t)0x3840cd90, (q31_t)0x8d060737,
+  (q31_t)0x383b28a9, (q31_t)0x8d034474, (q31_t)0x3835839f, (q31_t)0x8d0081f9, (q31_t)0x382fde72, (q31_t)0x8cfdbfc4, (q31_t)0x382a3922, (q31_t)0x8cfafdd7,
+  (q31_t)0x382493b0, (q31_t)0x8cf83c30, (q31_t)0x381eee1b, (q31_t)0x8cf57ad0, (q31_t)0x38194864, (q31_t)0x8cf2b9b8, (q31_t)0x3813a28a, (q31_t)0x8ceff8e6,
+  (q31_t)0x380dfc8d, (q31_t)0x8ced385b, (q31_t)0x3808566e, (q31_t)0x8cea7818, (q31_t)0x3802b02c, (q31_t)0x8ce7b81b, (q31_t)0x37fd09c8, (q31_t)0x8ce4f865,
+  (q31_t)0x37f76341, (q31_t)0x8ce238f6, (q31_t)0x37f1bc97, (q31_t)0x8cdf79ce, (q31_t)0x37ec15cb, (q31_t)0x8cdcbaee, (q31_t)0x37e66edd, (q31_t)0x8cd9fc54,
+  (q31_t)0x37e0c7cc, (q31_t)0x8cd73e01, (q31_t)0x37db2099, (q31_t)0x8cd47ff6, (q31_t)0x37d57943, (q31_t)0x8cd1c231, (q31_t)0x37cfd1cb, (q31_t)0x8ccf04b3,
+  (q31_t)0x37ca2a30, (q31_t)0x8ccc477d, (q31_t)0x37c48273, (q31_t)0x8cc98a8e, (q31_t)0x37beda93, (q31_t)0x8cc6cde5, (q31_t)0x37b93292, (q31_t)0x8cc41184,
+  (q31_t)0x37b38a6d, (q31_t)0x8cc1556a, (q31_t)0x37ade227, (q31_t)0x8cbe9996, (q31_t)0x37a839be, (q31_t)0x8cbbde0a, (q31_t)0x37a29132, (q31_t)0x8cb922c6,
+  (q31_t)0x379ce885, (q31_t)0x8cb667c8, (q31_t)0x37973fb5, (q31_t)0x8cb3ad11, (q31_t)0x379196c3, (q31_t)0x8cb0f2a1, (q31_t)0x378bedae, (q31_t)0x8cae3879,
+  (q31_t)0x37864477, (q31_t)0x8cab7e98, (q31_t)0x37809b1e, (q31_t)0x8ca8c4fd, (q31_t)0x377af1a3, (q31_t)0x8ca60baa, (q31_t)0x37754806, (q31_t)0x8ca3529f,
+  (q31_t)0x376f9e46, (q31_t)0x8ca099da, (q31_t)0x3769f464, (q31_t)0x8c9de15c, (q31_t)0x37644a60, (q31_t)0x8c9b2926, (q31_t)0x375ea03a, (q31_t)0x8c987137,
+  (q31_t)0x3758f5f2, (q31_t)0x8c95b98f, (q31_t)0x37534b87, (q31_t)0x8c93022e, (q31_t)0x374da0fa, (q31_t)0x8c904b14, (q31_t)0x3747f64c, (q31_t)0x8c8d9442,
+  (q31_t)0x37424b7b, (q31_t)0x8c8addb7, (q31_t)0x373ca088, (q31_t)0x8c882773, (q31_t)0x3736f573, (q31_t)0x8c857176, (q31_t)0x37314a3c, (q31_t)0x8c82bbc0,
+  (q31_t)0x372b9ee3, (q31_t)0x8c800652, (q31_t)0x3725f367, (q31_t)0x8c7d512b, (q31_t)0x372047ca, (q31_t)0x8c7a9c4b, (q31_t)0x371a9c0b, (q31_t)0x8c77e7b3,
+  (q31_t)0x3714f02a, (q31_t)0x8c753362, (q31_t)0x370f4427, (q31_t)0x8c727f58, (q31_t)0x37099802, (q31_t)0x8c6fcb95, (q31_t)0x3703ebbb, (q31_t)0x8c6d181a,
+  (q31_t)0x36fe3f52, (q31_t)0x8c6a64e5, (q31_t)0x36f892c7, (q31_t)0x8c67b1f9, (q31_t)0x36f2e61a, (q31_t)0x8c64ff53, (q31_t)0x36ed394b, (q31_t)0x8c624cf5,
+  (q31_t)0x36e78c5b, (q31_t)0x8c5f9ade, (q31_t)0x36e1df48, (q31_t)0x8c5ce90e, (q31_t)0x36dc3214, (q31_t)0x8c5a3786, (q31_t)0x36d684be, (q31_t)0x8c578645,
+  (q31_t)0x36d0d746, (q31_t)0x8c54d54c, (q31_t)0x36cb29ac, (q31_t)0x8c522499, (q31_t)0x36c57bf0, (q31_t)0x8c4f742f, (q31_t)0x36bfce13, (q31_t)0x8c4cc40b,
+  (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x36b471f3, (q31_t)0x8c47649a, (q31_t)0x36aec3b0, (q31_t)0x8c44b54d, (q31_t)0x36a9154c, (q31_t)0x8c420647,
+  (q31_t)0x36a366c6, (q31_t)0x8c3f5788, (q31_t)0x369db81e, (q31_t)0x8c3ca911, (q31_t)0x36980954, (q31_t)0x8c39fae1, (q31_t)0x36925a69, (q31_t)0x8c374cf9,
+  (q31_t)0x368cab5c, (q31_t)0x8c349f58, (q31_t)0x3686fc2e, (q31_t)0x8c31f1ff, (q31_t)0x36814cde, (q31_t)0x8c2f44ed, (q31_t)0x367b9d6c, (q31_t)0x8c2c9822,
+  (q31_t)0x3675edd9, (q31_t)0x8c29eb9f, (q31_t)0x36703e24, (q31_t)0x8c273f63, (q31_t)0x366a8e4d, (q31_t)0x8c24936f, (q31_t)0x3664de55, (q31_t)0x8c21e7c2,
+  (q31_t)0x365f2e3b, (q31_t)0x8c1f3c5d, (q31_t)0x36597e00, (q31_t)0x8c1c913f, (q31_t)0x3653cda3, (q31_t)0x8c19e669, (q31_t)0x364e1d25, (q31_t)0x8c173bda,
+  (q31_t)0x36486c86, (q31_t)0x8c149192, (q31_t)0x3642bbc4, (q31_t)0x8c11e792, (q31_t)0x363d0ae2, (q31_t)0x8c0f3dda, (q31_t)0x363759de, (q31_t)0x8c0c9469,
+  (q31_t)0x3631a8b8, (q31_t)0x8c09eb40, (q31_t)0x362bf771, (q31_t)0x8c07425e, (q31_t)0x36264609, (q31_t)0x8c0499c4, (q31_t)0x3620947f, (q31_t)0x8c01f171,
+  (q31_t)0x361ae2d3, (q31_t)0x8bff4966, (q31_t)0x36153107, (q31_t)0x8bfca1a3, (q31_t)0x360f7f19, (q31_t)0x8bf9fa27, (q31_t)0x3609cd0a, (q31_t)0x8bf752f2,
+  (q31_t)0x36041ad9, (q31_t)0x8bf4ac05, (q31_t)0x35fe6887, (q31_t)0x8bf20560, (q31_t)0x35f8b614, (q31_t)0x8bef5f02, (q31_t)0x35f3037f, (q31_t)0x8becb8ec,
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+  (q31_t)0x2fb5fab2, (q31_t)0x893969b9, (q31_t)0x2fb0260f, (q31_t)0x89371250, (q31_t)0x2faa514f, (q31_t)0x8934bb31, (q31_t)0x2fa47c71, (q31_t)0x8932645b,
+  (q31_t)0x2f9ea775, (q31_t)0x89300dce, (q31_t)0x2f98d25d, (q31_t)0x892db78a, (q31_t)0x2f92fd26, (q31_t)0x892b6190, (q31_t)0x2f8d27d3, (q31_t)0x89290bdf,
+  (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2f817cd4, (q31_t)0x89246159, (q31_t)0x2f7ba729, (q31_t)0x89220c84, (q31_t)0x2f75d160, (q31_t)0x891fb7f8,
+  (q31_t)0x2f6ffb7a, (q31_t)0x891d63b5, (q31_t)0x2f6a2577, (q31_t)0x891b0fbc, (q31_t)0x2f644f56, (q31_t)0x8918bc0c, (q31_t)0x2f5e7919, (q31_t)0x891668a6,
+  (q31_t)0x2f58a2be, (q31_t)0x89141589, (q31_t)0x2f52cc46, (q31_t)0x8911c2b5, (q31_t)0x2f4cf5b0, (q31_t)0x890f702b, (q31_t)0x2f471efe, (q31_t)0x890d1dea,
+  (q31_t)0x2f41482e, (q31_t)0x890acbf2, (q31_t)0x2f3b7141, (q31_t)0x89087a44, (q31_t)0x2f359a37, (q31_t)0x890628df, (q31_t)0x2f2fc310, (q31_t)0x8903d7c4,
+  (q31_t)0x2f29ebcc, (q31_t)0x890186f2, (q31_t)0x2f24146b, (q31_t)0x88ff3669, (q31_t)0x2f1e3ced, (q31_t)0x88fce62a, (q31_t)0x2f186551, (q31_t)0x88fa9634,
+  (q31_t)0x2f128d99, (q31_t)0x88f84687, (q31_t)0x2f0cb5c3, (q31_t)0x88f5f724, (q31_t)0x2f06ddd1, (q31_t)0x88f3a80b, (q31_t)0x2f0105c1, (q31_t)0x88f1593b,
+  (q31_t)0x2efb2d95, (q31_t)0x88ef0ab4, (q31_t)0x2ef5554b, (q31_t)0x88ecbc77, (q31_t)0x2eef7ce5, (q31_t)0x88ea6e83, (q31_t)0x2ee9a461, (q31_t)0x88e820d9,
+  (q31_t)0x2ee3cbc1, (q31_t)0x88e5d378, (q31_t)0x2eddf304, (q31_t)0x88e38660, (q31_t)0x2ed81a29, (q31_t)0x88e13992, (q31_t)0x2ed24132, (q31_t)0x88deed0e,
+  (q31_t)0x2ecc681e, (q31_t)0x88dca0d3, (q31_t)0x2ec68eed, (q31_t)0x88da54e1, (q31_t)0x2ec0b5a0, (q31_t)0x88d8093a, (q31_t)0x2ebadc35, (q31_t)0x88d5bddb,
+  (q31_t)0x2eb502ae, (q31_t)0x88d372c6, (q31_t)0x2eaf290a, (q31_t)0x88d127fb, (q31_t)0x2ea94f49, (q31_t)0x88cedd79, (q31_t)0x2ea3756b, (q31_t)0x88cc9340,
+  (q31_t)0x2e9d9b70, (q31_t)0x88ca4951, (q31_t)0x2e97c159, (q31_t)0x88c7ffac, (q31_t)0x2e91e725, (q31_t)0x88c5b650, (q31_t)0x2e8c0cd4, (q31_t)0x88c36d3e,
+  (q31_t)0x2e863267, (q31_t)0x88c12475, (q31_t)0x2e8057dd, (q31_t)0x88bedbf6, (q31_t)0x2e7a7d36, (q31_t)0x88bc93c0, (q31_t)0x2e74a272, (q31_t)0x88ba4bd4,
+  (q31_t)0x2e6ec792, (q31_t)0x88b80432, (q31_t)0x2e68ec95, (q31_t)0x88b5bcd9, (q31_t)0x2e63117c, (q31_t)0x88b375ca, (q31_t)0x2e5d3646, (q31_t)0x88b12f04,
+  (q31_t)0x2e575af3, (q31_t)0x88aee888, (q31_t)0x2e517f84, (q31_t)0x88aca255, (q31_t)0x2e4ba3f8, (q31_t)0x88aa5c6c, (q31_t)0x2e45c850, (q31_t)0x88a816cd,
+  (q31_t)0x2e3fec8b, (q31_t)0x88a5d177, (q31_t)0x2e3a10aa, (q31_t)0x88a38c6b, (q31_t)0x2e3434ac, (q31_t)0x88a147a9, (q31_t)0x2e2e5891, (q31_t)0x889f0330,
+  (q31_t)0x2e287c5a, (q31_t)0x889cbf01, (q31_t)0x2e22a007, (q31_t)0x889a7b1b, (q31_t)0x2e1cc397, (q31_t)0x88983780, (q31_t)0x2e16e70b, (q31_t)0x8895f42d,
+  (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2e0b2d9d, (q31_t)0x88916e66, (q31_t)0x2e0550bb, (q31_t)0x888f2bf1, (q31_t)0x2dff73bd, (q31_t)0x888ce9c5,
+  (q31_t)0x2df996a3, (q31_t)0x888aa7e3, (q31_t)0x2df3b96c, (q31_t)0x8888664b, (q31_t)0x2deddc19, (q31_t)0x888624fd, (q31_t)0x2de7feaa, (q31_t)0x8883e3f8,
+  (q31_t)0x2de2211e, (q31_t)0x8881a33d, (q31_t)0x2ddc4376, (q31_t)0x887f62cb, (q31_t)0x2dd665b2, (q31_t)0x887d22a4, (q31_t)0x2dd087d1, (q31_t)0x887ae2c6,
+  (q31_t)0x2dcaa9d5, (q31_t)0x8878a332, (q31_t)0x2dc4cbbc, (q31_t)0x887663e7, (q31_t)0x2dbeed86, (q31_t)0x887424e7, (q31_t)0x2db90f35, (q31_t)0x8871e630,
+  (q31_t)0x2db330c7, (q31_t)0x886fa7c2, (q31_t)0x2dad523d, (q31_t)0x886d699f, (q31_t)0x2da77397, (q31_t)0x886b2bc5, (q31_t)0x2da194d5, (q31_t)0x8868ee35,
+  (q31_t)0x2d9bb5f6, (q31_t)0x8866b0ef, (q31_t)0x2d95d6fc, (q31_t)0x886473f2, (q31_t)0x2d8ff7e5, (q31_t)0x88623740, (q31_t)0x2d8a18b3, (q31_t)0x885ffad7,
+  (q31_t)0x2d843964, (q31_t)0x885dbeb8, (q31_t)0x2d7e59f9, (q31_t)0x885b82e3, (q31_t)0x2d787a72, (q31_t)0x88594757, (q31_t)0x2d729acf, (q31_t)0x88570c16,
+  (q31_t)0x2d6cbb10, (q31_t)0x8854d11e, (q31_t)0x2d66db35, (q31_t)0x88529670, (q31_t)0x2d60fb3e, (q31_t)0x88505c0b, (q31_t)0x2d5b1b2b, (q31_t)0x884e21f1,
+  (q31_t)0x2d553afc, (q31_t)0x884be821, (q31_t)0x2d4f5ab1, (q31_t)0x8849ae9a, (q31_t)0x2d497a4a, (q31_t)0x8847755d, (q31_t)0x2d4399c7, (q31_t)0x88453c6a,
+  (q31_t)0x2d3db928, (q31_t)0x884303c1, (q31_t)0x2d37d86d, (q31_t)0x8840cb61, (q31_t)0x2d31f797, (q31_t)0x883e934c, (q31_t)0x2d2c16a4, (q31_t)0x883c5b81,
+  (q31_t)0x2d263596, (q31_t)0x883a23ff, (q31_t)0x2d20546b, (q31_t)0x8837ecc7, (q31_t)0x2d1a7325, (q31_t)0x8835b5d9, (q31_t)0x2d1491c4, (q31_t)0x88337f35,
+  (q31_t)0x2d0eb046, (q31_t)0x883148db, (q31_t)0x2d08ceac, (q31_t)0x882f12cb, (q31_t)0x2d02ecf7, (q31_t)0x882cdd04, (q31_t)0x2cfd0b26, (q31_t)0x882aa788,
+  (q31_t)0x2cf72939, (q31_t)0x88287256, (q31_t)0x2cf14731, (q31_t)0x88263d6d, (q31_t)0x2ceb650d, (q31_t)0x882408ce, (q31_t)0x2ce582cd, (q31_t)0x8821d47a,
+  (q31_t)0x2cdfa071, (q31_t)0x881fa06f, (q31_t)0x2cd9bdfa, (q31_t)0x881d6cae, (q31_t)0x2cd3db67, (q31_t)0x881b3937, (q31_t)0x2ccdf8b8, (q31_t)0x8819060a,
+  (q31_t)0x2cc815ee, (q31_t)0x8816d327, (q31_t)0x2cc23308, (q31_t)0x8814a08f, (q31_t)0x2cbc5006, (q31_t)0x88126e40, (q31_t)0x2cb66ce9, (q31_t)0x88103c3b,
+  (q31_t)0x2cb089b1, (q31_t)0x880e0a7f, (q31_t)0x2caaa65c, (q31_t)0x880bd90e, (q31_t)0x2ca4c2ed, (q31_t)0x8809a7e7, (q31_t)0x2c9edf61, (q31_t)0x8807770a,
+  (q31_t)0x2c98fbba, (q31_t)0x88054677, (q31_t)0x2c9317f8, (q31_t)0x8803162e, (q31_t)0x2c8d341a, (q31_t)0x8800e62f, (q31_t)0x2c875021, (q31_t)0x87feb67a,
+  (q31_t)0x2c816c0c, (q31_t)0x87fc870f, (q31_t)0x2c7b87dc, (q31_t)0x87fa57ee, (q31_t)0x2c75a390, (q31_t)0x87f82917, (q31_t)0x2c6fbf29, (q31_t)0x87f5fa8b,
+  (q31_t)0x2c69daa6, (q31_t)0x87f3cc48, (q31_t)0x2c63f609, (q31_t)0x87f19e4f, (q31_t)0x2c5e114f, (q31_t)0x87ef70a0, (q31_t)0x2c582c7b, (q31_t)0x87ed433c,
+  (q31_t)0x2c52478a, (q31_t)0x87eb1621, (q31_t)0x2c4c627f, (q31_t)0x87e8e950, (q31_t)0x2c467d58, (q31_t)0x87e6bcca, (q31_t)0x2c409816, (q31_t)0x87e4908e,
+  (q31_t)0x2c3ab2b9, (q31_t)0x87e2649b, (q31_t)0x2c34cd40, (q31_t)0x87e038f3, (q31_t)0x2c2ee7ad, (q31_t)0x87de0d95, (q31_t)0x2c2901fd, (q31_t)0x87dbe281,
+  (q31_t)0x2c231c33, (q31_t)0x87d9b7b7, (q31_t)0x2c1d364e, (q31_t)0x87d78d38, (q31_t)0x2c17504d, (q31_t)0x87d56302, (q31_t)0x2c116a31, (q31_t)0x87d33916,
+  (q31_t)0x2c0b83fa, (q31_t)0x87d10f75, (q31_t)0x2c059da7, (q31_t)0x87cee61e, (q31_t)0x2bffb73a, (q31_t)0x87ccbd11, (q31_t)0x2bf9d0b1, (q31_t)0x87ca944e,
+  (q31_t)0x2bf3ea0d, (q31_t)0x87c86bd5, (q31_t)0x2bee034e, (q31_t)0x87c643a6, (q31_t)0x2be81c74, (q31_t)0x87c41bc2, (q31_t)0x2be2357f, (q31_t)0x87c1f427,
+  (q31_t)0x2bdc4e6f, (q31_t)0x87bfccd7, (q31_t)0x2bd66744, (q31_t)0x87bda5d1, (q31_t)0x2bd07ffe, (q31_t)0x87bb7f16, (q31_t)0x2bca989d, (q31_t)0x87b958a4,
+  (q31_t)0x2bc4b120, (q31_t)0x87b7327d, (q31_t)0x2bbec989, (q31_t)0x87b50c9f, (q31_t)0x2bb8e1d7, (q31_t)0x87b2e70c, (q31_t)0x2bb2fa0a, (q31_t)0x87b0c1c4,
+  (q31_t)0x2bad1221, (q31_t)0x87ae9cc5, (q31_t)0x2ba72a1e, (q31_t)0x87ac7811, (q31_t)0x2ba14200, (q31_t)0x87aa53a6, (q31_t)0x2b9b59c7, (q31_t)0x87a82f87,
+  (q31_t)0x2b957173, (q31_t)0x87a60bb1, (q31_t)0x2b8f8905, (q31_t)0x87a3e825, (q31_t)0x2b89a07b, (q31_t)0x87a1c4e4, (q31_t)0x2b83b7d7, (q31_t)0x879fa1ed,
+  (q31_t)0x2b7dcf17, (q31_t)0x879d7f41, (q31_t)0x2b77e63d, (q31_t)0x879b5cde, (q31_t)0x2b71fd48, (q31_t)0x87993ac6, (q31_t)0x2b6c1438, (q31_t)0x879718f8,
+  (q31_t)0x2b662b0e, (q31_t)0x8794f774, (q31_t)0x2b6041c9, (q31_t)0x8792d63b, (q31_t)0x2b5a5868, (q31_t)0x8790b54c, (q31_t)0x2b546eee, (q31_t)0x878e94a7,
+  (q31_t)0x2b4e8558, (q31_t)0x878c744d, (q31_t)0x2b489ba8, (q31_t)0x878a543d, (q31_t)0x2b42b1dd, (q31_t)0x87883477, (q31_t)0x2b3cc7f7, (q31_t)0x878614fb,
+  (q31_t)0x2b36ddf7, (q31_t)0x8783f5ca, (q31_t)0x2b30f3dc, (q31_t)0x8781d6e3, (q31_t)0x2b2b09a6, (q31_t)0x877fb846, (q31_t)0x2b251f56, (q31_t)0x877d99f4,
+  (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x2b194a66, (q31_t)0x87795e2f, (q31_t)0x2b135fc6, (q31_t)0x877740bb, (q31_t)0x2b0d750b, (q31_t)0x87752392,
+  (q31_t)0x2b078a36, (q31_t)0x877306b4, (q31_t)0x2b019f46, (q31_t)0x8770ea20, (q31_t)0x2afbb43c, (q31_t)0x876ecdd6, (q31_t)0x2af5c917, (q31_t)0x876cb1d6,
+  (q31_t)0x2aefddd8, (q31_t)0x876a9621, (q31_t)0x2ae9f27e, (q31_t)0x87687ab7, (q31_t)0x2ae4070a, (q31_t)0x87665f96, (q31_t)0x2ade1b7c, (q31_t)0x876444c1,
+  (q31_t)0x2ad82fd2, (q31_t)0x87622a35, (q31_t)0x2ad2440f, (q31_t)0x87600ff4, (q31_t)0x2acc5831, (q31_t)0x875df5fd, (q31_t)0x2ac66c39, (q31_t)0x875bdc51,
+  (q31_t)0x2ac08026, (q31_t)0x8759c2ef, (q31_t)0x2aba93f9, (q31_t)0x8757a9d8, (q31_t)0x2ab4a7b1, (q31_t)0x8755910b, (q31_t)0x2aaebb50, (q31_t)0x87537888,
+  (q31_t)0x2aa8ced3, (q31_t)0x87516050, (q31_t)0x2aa2e23d, (q31_t)0x874f4862, (q31_t)0x2a9cf58c, (q31_t)0x874d30bf, (q31_t)0x2a9708c1, (q31_t)0x874b1966,
+  (q31_t)0x2a911bdc, (q31_t)0x87490258, (q31_t)0x2a8b2edc, (q31_t)0x8746eb94, (q31_t)0x2a8541c3, (q31_t)0x8744d51b, (q31_t)0x2a7f548e, (q31_t)0x8742beec,
+  (q31_t)0x2a796740, (q31_t)0x8740a907, (q31_t)0x2a7379d8, (q31_t)0x873e936d, (q31_t)0x2a6d8c55, (q31_t)0x873c7e1e, (q31_t)0x2a679eb8, (q31_t)0x873a6919,
+  (q31_t)0x2a61b101, (q31_t)0x8738545e, (q31_t)0x2a5bc330, (q31_t)0x87363fee, (q31_t)0x2a55d545, (q31_t)0x87342bc9, (q31_t)0x2a4fe740, (q31_t)0x873217ee,
+  (q31_t)0x2a49f920, (q31_t)0x8730045d, (q31_t)0x2a440ae7, (q31_t)0x872df117, (q31_t)0x2a3e1c93, (q31_t)0x872bde1c, (q31_t)0x2a382e25, (q31_t)0x8729cb6b,
+  (q31_t)0x2a323f9e, (q31_t)0x8727b905, (q31_t)0x2a2c50fc, (q31_t)0x8725a6e9, (q31_t)0x2a266240, (q31_t)0x87239518, (q31_t)0x2a20736a, (q31_t)0x87218391,
+  (q31_t)0x2a1a847b, (q31_t)0x871f7255, (q31_t)0x2a149571, (q31_t)0x871d6163, (q31_t)0x2a0ea64d, (q31_t)0x871b50bc, (q31_t)0x2a08b710, (q31_t)0x87194060,
+  (q31_t)0x2a02c7b8, (q31_t)0x8717304e, (q31_t)0x29fcd847, (q31_t)0x87152087, (q31_t)0x29f6e8bb, (q31_t)0x8713110a, (q31_t)0x29f0f916, (q31_t)0x871101d8,
+  (q31_t)0x29eb0957, (q31_t)0x870ef2f1, (q31_t)0x29e5197e, (q31_t)0x870ce454, (q31_t)0x29df298b, (q31_t)0x870ad602, (q31_t)0x29d9397f, (q31_t)0x8708c7fa,
+  (q31_t)0x29d34958, (q31_t)0x8706ba3d, (q31_t)0x29cd5918, (q31_t)0x8704acca, (q31_t)0x29c768be, (q31_t)0x87029fa3, (q31_t)0x29c1784a, (q31_t)0x870092c5,
+  (q31_t)0x29bb87bc, (q31_t)0x86fe8633, (q31_t)0x29b59715, (q31_t)0x86fc79eb, (q31_t)0x29afa654, (q31_t)0x86fa6dee, (q31_t)0x29a9b579, (q31_t)0x86f8623b,
+  (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x299dd377, (q31_t)0x86f44bb6, (q31_t)0x2997e24f, (q31_t)0x86f240e3, (q31_t)0x2991f10e, (q31_t)0x86f0365c,
+  (q31_t)0x298bffb2, (q31_t)0x86ee2c1e, (q31_t)0x29860e3e, (q31_t)0x86ec222c, (q31_t)0x29801caf, (q31_t)0x86ea1884, (q31_t)0x297a2b07, (q31_t)0x86e80f27,
+  (q31_t)0x29743946, (q31_t)0x86e60614, (q31_t)0x296e476b, (q31_t)0x86e3fd4c, (q31_t)0x29685576, (q31_t)0x86e1f4cf, (q31_t)0x29626368, (q31_t)0x86dfec9d,
+  (q31_t)0x295c7140, (q31_t)0x86dde4b5, (q31_t)0x29567eff, (q31_t)0x86dbdd18, (q31_t)0x29508ca4, (q31_t)0x86d9d5c6, (q31_t)0x294a9a30, (q31_t)0x86d7cebf,
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+  (q31_t)0x241f2833, (q31_t)0x8533d809, (q31_t)0x2419210a, (q31_t)0x85321244, (q31_t)0x241319ca, (q31_t)0x85304cca, (q31_t)0x240d1274, (q31_t)0x852e879d,
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+  (q31_t)0x226c4996, (q31_t)0x84b72ddb, (q31_t)0x22663c4e, (q31_t)0x84b57d6f, (q31_t)0x22602ef1, (q31_t)0x84b3cd4f, (q31_t)0x225a217f, (q31_t)0x84b21d7a,
+  (q31_t)0x225413f8, (q31_t)0x84b06df2, (q31_t)0x224e065c, (q31_t)0x84aebeb6, (q31_t)0x2247f8aa, (q31_t)0x84ad0fc6, (q31_t)0x2241eae3, (q31_t)0x84ab6122,
+  (q31_t)0x223bdd08, (q31_t)0x84a9b2ca, (q31_t)0x2235cf17, (q31_t)0x84a804be, (q31_t)0x222fc111, (q31_t)0x84a656fe, (q31_t)0x2229b2f6, (q31_t)0x84a4a98a,
+  (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x221d9680, (q31_t)0x84a14f87, (q31_t)0x22178826, (q31_t)0x849fa2f7, (q31_t)0x221179b7, (q31_t)0x849df6b4,
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+  (q31_t)0x21f3304f, (q31_t)0x84959dd9, (q31_t)0x21ed2162, (q31_t)0x8493f35e, (q31_t)0x21e71260, (q31_t)0x84924930, (q31_t)0x21e10349, (q31_t)0x84909f4e,
+  (q31_t)0x21daf41d, (q31_t)0x848ef5b7, (q31_t)0x21d4e4dc, (q31_t)0x848d4c6d, (q31_t)0x21ced586, (q31_t)0x848ba36f, (q31_t)0x21c8c61c, (q31_t)0x8489fabe,
+  (q31_t)0x21c2b69c, (q31_t)0x84885258, (q31_t)0x21bca708, (q31_t)0x8486aa3e, (q31_t)0x21b6975f, (q31_t)0x84850271, (q31_t)0x21b087a1, (q31_t)0x84835af0,
+  (q31_t)0x21aa77cf, (q31_t)0x8481b3bb, (q31_t)0x21a467e7, (q31_t)0x84800cd2, (q31_t)0x219e57eb, (q31_t)0x847e6636, (q31_t)0x219847da, (q31_t)0x847cbfe5,
+  (q31_t)0x219237b5, (q31_t)0x847b19e1, (q31_t)0x218c277a, (q31_t)0x84797429, (q31_t)0x2186172b, (q31_t)0x8477cebd, (q31_t)0x218006c8, (q31_t)0x8476299e,
+  (q31_t)0x2179f64f, (q31_t)0x847484ca, (q31_t)0x2173e5c2, (q31_t)0x8472e043, (q31_t)0x216dd521, (q31_t)0x84713c08, (q31_t)0x2167c46b, (q31_t)0x846f9819,
+  (q31_t)0x2161b3a0, (q31_t)0x846df477, (q31_t)0x215ba2c0, (q31_t)0x846c5120, (q31_t)0x215591cc, (q31_t)0x846aae16, (q31_t)0x214f80c4, (q31_t)0x84690b58,
+  (q31_t)0x21496fa7, (q31_t)0x846768e7, (q31_t)0x21435e75, (q31_t)0x8465c6c1, (q31_t)0x213d4d2f, (q31_t)0x846424e8, (q31_t)0x21373bd4, (q31_t)0x8462835b,
+  (q31_t)0x21312a65, (q31_t)0x8460e21a, (q31_t)0x212b18e1, (q31_t)0x845f4126, (q31_t)0x21250749, (q31_t)0x845da07e, (q31_t)0x211ef59d, (q31_t)0x845c0022,
+  (q31_t)0x2118e3dc, (q31_t)0x845a6012, (q31_t)0x2112d206, (q31_t)0x8458c04f, (q31_t)0x210cc01d, (q31_t)0x845720d8, (q31_t)0x2106ae1e, (q31_t)0x845581ad,
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+  (q31_t)0x20e852f6, (q31_t)0x844d6a50, (q31_t)0x20e2407e, (q31_t)0x844bccef, (q31_t)0x20dc2df2, (q31_t)0x844a2fda, (q31_t)0x20d61b51, (q31_t)0x84489311,
+  (q31_t)0x20d0089c, (q31_t)0x8446f695, (q31_t)0x20c9f5d3, (q31_t)0x84455a66, (q31_t)0x20c3e2f5, (q31_t)0x8443be82, (q31_t)0x20bdd003, (q31_t)0x844222eb,
+  (q31_t)0x20b7bcfe, (q31_t)0x844087a0, (q31_t)0x20b1a9e4, (q31_t)0x843eeca2, (q31_t)0x20ab96b5, (q31_t)0x843d51f0, (q31_t)0x20a58373, (q31_t)0x843bb78a,
+  (q31_t)0x209f701c, (q31_t)0x843a1d70, (q31_t)0x20995cb2, (q31_t)0x843883a3, (q31_t)0x20934933, (q31_t)0x8436ea23, (q31_t)0x208d35a0, (q31_t)0x843550ee,
+  (q31_t)0x208721f9, (q31_t)0x8433b806, (q31_t)0x20810e3e, (q31_t)0x84321f6b, (q31_t)0x207afa6f, (q31_t)0x8430871b, (q31_t)0x2074e68c, (q31_t)0x842eef18,
+  (q31_t)0x206ed295, (q31_t)0x842d5762, (q31_t)0x2068be8a, (q31_t)0x842bbff8, (q31_t)0x2062aa6b, (q31_t)0x842a28da, (q31_t)0x205c9638, (q31_t)0x84289209,
+  (q31_t)0x205681f1, (q31_t)0x8426fb84, (q31_t)0x20506d96, (q31_t)0x8425654b, (q31_t)0x204a5927, (q31_t)0x8423cf5f, (q31_t)0x204444a4, (q31_t)0x842239bf,
+  (q31_t)0x203e300d, (q31_t)0x8420a46c, (q31_t)0x20381b63, (q31_t)0x841f0f65, (q31_t)0x203206a4, (q31_t)0x841d7aaa, (q31_t)0x202bf1d2, (q31_t)0x841be63c,
+  (q31_t)0x2025dcec, (q31_t)0x841a521a, (q31_t)0x201fc7f2, (q31_t)0x8418be45, (q31_t)0x2019b2e4, (q31_t)0x84172abc, (q31_t)0x20139dc2, (q31_t)0x84159780,
+  (q31_t)0x200d888d, (q31_t)0x84140490, (q31_t)0x20077344, (q31_t)0x841271ec, (q31_t)0x20015de7, (q31_t)0x8410df95, (q31_t)0x1ffb4876, (q31_t)0x840f4d8a,
+  (q31_t)0x1ff532f2, (q31_t)0x840dbbcc, (q31_t)0x1fef1d59, (q31_t)0x840c2a5a, (q31_t)0x1fe907ae, (q31_t)0x840a9935, (q31_t)0x1fe2f1ee, (q31_t)0x8409085c,
+  (q31_t)0x1fdcdc1b, (q31_t)0x840777d0, (q31_t)0x1fd6c634, (q31_t)0x8405e790, (q31_t)0x1fd0b03a, (q31_t)0x8404579d, (q31_t)0x1fca9a2b, (q31_t)0x8402c7f6,
+  (q31_t)0x1fc4840a, (q31_t)0x8401389b, (q31_t)0x1fbe6dd4, (q31_t)0x83ffa98d, (q31_t)0x1fb8578b, (q31_t)0x83fe1acc, (q31_t)0x1fb2412f, (q31_t)0x83fc8c57,
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+  (q31_t)0x1f93d03c, (q31_t)0x83f4c889, (q31_t)0x1f8db96a, (q31_t)0x83f33bdf, (q31_t)0x1f87a285, (q31_t)0x83f1af82, (q31_t)0x1f818b8d, (q31_t)0x83f02371,
+  (q31_t)0x1f7b7481, (q31_t)0x83ee97ad, (q31_t)0x1f755d61, (q31_t)0x83ed0c35, (q31_t)0x1f6f462f, (q31_t)0x83eb810a, (q31_t)0x1f692ee9, (q31_t)0x83e9f62b,
+  (q31_t)0x1f63178f, (q31_t)0x83e86b99, (q31_t)0x1f5d0022, (q31_t)0x83e6e153, (q31_t)0x1f56e8a2, (q31_t)0x83e5575a, (q31_t)0x1f50d10e, (q31_t)0x83e3cdad,
+  (q31_t)0x1f4ab968, (q31_t)0x83e2444d, (q31_t)0x1f44a1ad, (q31_t)0x83e0bb3a, (q31_t)0x1f3e89e0, (q31_t)0x83df3273, (q31_t)0x1f3871ff, (q31_t)0x83dda9f9,
+  (q31_t)0x1f325a0b, (q31_t)0x83dc21cb, (q31_t)0x1f2c4204, (q31_t)0x83da99ea, (q31_t)0x1f2629ea, (q31_t)0x83d91255, (q31_t)0x1f2011bc, (q31_t)0x83d78b0d,
+  (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1f13e127, (q31_t)0x83d47d63, (q31_t)0x1f0dc8c0, (q31_t)0x83d2f701, (q31_t)0x1f07b045, (q31_t)0x83d170eb,
+  (q31_t)0x1f0197b8, (q31_t)0x83cfeb22, (q31_t)0x1efb7f17, (q31_t)0x83ce65a6, (q31_t)0x1ef56664, (q31_t)0x83cce076, (q31_t)0x1eef4d9d, (q31_t)0x83cb5b93,
+  (q31_t)0x1ee934c3, (q31_t)0x83c9d6fc, (q31_t)0x1ee31bd6, (q31_t)0x83c852b2, (q31_t)0x1edd02d6, (q31_t)0x83c6ceb5, (q31_t)0x1ed6e9c3, (q31_t)0x83c54b04,
+  (q31_t)0x1ed0d09d, (q31_t)0x83c3c7a0, (q31_t)0x1ecab763, (q31_t)0x83c24488, (q31_t)0x1ec49e17, (q31_t)0x83c0c1be, (q31_t)0x1ebe84b8, (q31_t)0x83bf3f3f,
+  (q31_t)0x1eb86b46, (q31_t)0x83bdbd0e, (q31_t)0x1eb251c1, (q31_t)0x83bc3b29, (q31_t)0x1eac3829, (q31_t)0x83bab991, (q31_t)0x1ea61e7e, (q31_t)0x83b93845,
+  (q31_t)0x1ea004c1, (q31_t)0x83b7b746, (q31_t)0x1e99eaf0, (q31_t)0x83b63694, (q31_t)0x1e93d10c, (q31_t)0x83b4b62e, (q31_t)0x1e8db716, (q31_t)0x83b33616,
+  (q31_t)0x1e879d0d, (q31_t)0x83b1b649, (q31_t)0x1e8182f1, (q31_t)0x83b036ca, (q31_t)0x1e7b68c2, (q31_t)0x83aeb797, (q31_t)0x1e754e80, (q31_t)0x83ad38b1,
+  (q31_t)0x1e6f342c, (q31_t)0x83abba17, (q31_t)0x1e6919c4, (q31_t)0x83aa3bca, (q31_t)0x1e62ff4a, (q31_t)0x83a8bdca, (q31_t)0x1e5ce4be, (q31_t)0x83a74017,
+  (q31_t)0x1e56ca1e, (q31_t)0x83a5c2b0, (q31_t)0x1e50af6c, (q31_t)0x83a44596, (q31_t)0x1e4a94a7, (q31_t)0x83a2c8c9, (q31_t)0x1e4479cf, (q31_t)0x83a14c48,
+  (q31_t)0x1e3e5ee5, (q31_t)0x839fd014, (q31_t)0x1e3843e8, (q31_t)0x839e542d, (q31_t)0x1e3228d9, (q31_t)0x839cd893, (q31_t)0x1e2c0db6, (q31_t)0x839b5d45,
+  (q31_t)0x1e25f282, (q31_t)0x8399e244, (q31_t)0x1e1fd73a, (q31_t)0x83986790, (q31_t)0x1e19bbe0, (q31_t)0x8396ed29, (q31_t)0x1e13a074, (q31_t)0x8395730e,
+  (q31_t)0x1e0d84f5, (q31_t)0x8393f940, (q31_t)0x1e076963, (q31_t)0x83927fbf, (q31_t)0x1e014dbf, (q31_t)0x8391068a, (q31_t)0x1dfb3208, (q31_t)0x838f8da2,
+  (q31_t)0x1df5163f, (q31_t)0x838e1507, (q31_t)0x1deefa63, (q31_t)0x838c9cb9, (q31_t)0x1de8de75, (q31_t)0x838b24b8, (q31_t)0x1de2c275, (q31_t)0x8389ad03,
+  (q31_t)0x1ddca662, (q31_t)0x8388359b, (q31_t)0x1dd68a3c, (q31_t)0x8386be80, (q31_t)0x1dd06e04, (q31_t)0x838547b2, (q31_t)0x1dca51ba, (q31_t)0x8383d130,
+  (q31_t)0x1dc4355e, (q31_t)0x83825afb, (q31_t)0x1dbe18ef, (q31_t)0x8380e513, (q31_t)0x1db7fc6d, (q31_t)0x837f6f78, (q31_t)0x1db1dfda, (q31_t)0x837dfa2a,
+  (q31_t)0x1dabc334, (q31_t)0x837c8528, (q31_t)0x1da5a67c, (q31_t)0x837b1074, (q31_t)0x1d9f89b1, (q31_t)0x83799c0c, (q31_t)0x1d996cd4, (q31_t)0x837827f0,
+  (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1d8d32e4, (q31_t)0x837540a1, (q31_t)0x1d8715d0, (q31_t)0x8373cd6c, (q31_t)0x1d80f8ab, (q31_t)0x83725a84,
+  (q31_t)0x1d7adb73, (q31_t)0x8370e7e9, (q31_t)0x1d74be29, (q31_t)0x836f759b, (q31_t)0x1d6ea0cc, (q31_t)0x836e039a, (q31_t)0x1d68835e, (q31_t)0x836c91e5,
+  (q31_t)0x1d6265dd, (q31_t)0x836b207d, (q31_t)0x1d5c484b, (q31_t)0x8369af63, (q31_t)0x1d562aa6, (q31_t)0x83683e95, (q31_t)0x1d500cef, (q31_t)0x8366ce14,
+  (q31_t)0x1d49ef26, (q31_t)0x83655ddf, (q31_t)0x1d43d14b, (q31_t)0x8363edf8, (q31_t)0x1d3db35e, (q31_t)0x83627e5d, (q31_t)0x1d37955e, (q31_t)0x83610f10,
+  (q31_t)0x1d31774d, (q31_t)0x835fa00f, (q31_t)0x1d2b592a, (q31_t)0x835e315b, (q31_t)0x1d253af5, (q31_t)0x835cc2f4, (q31_t)0x1d1f1cae, (q31_t)0x835b54da,
+  (q31_t)0x1d18fe54, (q31_t)0x8359e70d, (q31_t)0x1d12dfe9, (q31_t)0x8358798c, (q31_t)0x1d0cc16c, (q31_t)0x83570c59, (q31_t)0x1d06a2dd, (q31_t)0x83559f72,
+  (q31_t)0x1d00843d, (q31_t)0x835432d8, (q31_t)0x1cfa658a, (q31_t)0x8352c68c, (q31_t)0x1cf446c5, (q31_t)0x83515a8c, (q31_t)0x1cee27ef, (q31_t)0x834feed9,
+  (q31_t)0x1ce80906, (q31_t)0x834e8373, (q31_t)0x1ce1ea0c, (q31_t)0x834d185a, (q31_t)0x1cdbcb00, (q31_t)0x834bad8e, (q31_t)0x1cd5abe3, (q31_t)0x834a430e,
+  (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1cc96d72, (q31_t)0x83476ef6, (q31_t)0x1cc34e1f, (q31_t)0x8346055e, (q31_t)0x1cbd2eba, (q31_t)0x83449c12,
+  (q31_t)0x1cb70f43, (q31_t)0x83433314, (q31_t)0x1cb0efbb, (q31_t)0x8341ca62, (q31_t)0x1caad021, (q31_t)0x834061fd, (q31_t)0x1ca4b075, (q31_t)0x833ef9e6,
+  (q31_t)0x1c9e90b8, (q31_t)0x833d921b, (q31_t)0x1c9870e9, (q31_t)0x833c2a9d, (q31_t)0x1c925109, (q31_t)0x833ac36c, (q31_t)0x1c8c3116, (q31_t)0x83395c88,
+  (q31_t)0x1c861113, (q31_t)0x8337f5f1, (q31_t)0x1c7ff0fd, (q31_t)0x83368fa7, (q31_t)0x1c79d0d6, (q31_t)0x833529aa, (q31_t)0x1c73b09d, (q31_t)0x8333c3fa,
+  (q31_t)0x1c6d9053, (q31_t)0x83325e97, (q31_t)0x1c676ff8, (q31_t)0x8330f981, (q31_t)0x1c614f8b, (q31_t)0x832f94b8, (q31_t)0x1c5b2f0c, (q31_t)0x832e303c,
+  (q31_t)0x1c550e7c, (q31_t)0x832ccc0d, (q31_t)0x1c4eedda, (q31_t)0x832b682b, (q31_t)0x1c48cd27, (q31_t)0x832a0496, (q31_t)0x1c42ac62, (q31_t)0x8328a14d,
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+  (q31_t)0x1c240786, (q31_t)0x8321b568, (q31_t)0x1c1de659, (q31_t)0x832053ee, (q31_t)0x1c17c51b, (q31_t)0x831ef2c1, (q31_t)0x1c11a3cb, (q31_t)0x831d91e1,
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+  (q31_t)0x1bf2fc3a, (q31_t)0x8316b205, (q31_t)0x1becda83, (q31_t)0x831552f4, (q31_t)0x1be6b8ba, (q31_t)0x8313f42f, (q31_t)0x1be096e0, (q31_t)0x831295b7,
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+  (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1ba340b0, (q31_t)0x8304f59b, (q31_t)0x1b9d1e1a, (q31_t)0x83039a73, (q31_t)0x1b96fb73, (q31_t)0x83023f98,
+  (q31_t)0x1b90d8bb, (q31_t)0x8300e50b, (q31_t)0x1b8ab5f2, (q31_t)0x82ff8acb, (q31_t)0x1b849317, (q31_t)0x82fe30d7, (q31_t)0x1b7e702c, (q31_t)0x82fcd731,
+  (q31_t)0x1b784d30, (q31_t)0x82fb7dd8, (q31_t)0x1b722a23, (q31_t)0x82fa24cc, (q31_t)0x1b6c0705, (q31_t)0x82f8cc0d, (q31_t)0x1b65e3d7, (q31_t)0x82f7739c,
+  (q31_t)0x1b5fc097, (q31_t)0x82f61b77, (q31_t)0x1b599d46, (q31_t)0x82f4c3a0, (q31_t)0x1b5379e5, (q31_t)0x82f36c15, (q31_t)0x1b4d5672, (q31_t)0x82f214d8,
+  (q31_t)0x1b4732ef, (q31_t)0x82f0bde8, (q31_t)0x1b410f5b, (q31_t)0x82ef6745, (q31_t)0x1b3aebb6, (q31_t)0x82ee10ef, (q31_t)0x1b34c801, (q31_t)0x82ecbae7,
+  (q31_t)0x1b2ea43a, (q31_t)0x82eb652b, (q31_t)0x1b288063, (q31_t)0x82ea0fbd, (q31_t)0x1b225c7b, (q31_t)0x82e8ba9c, (q31_t)0x1b1c3883, (q31_t)0x82e765c8,
+  (q31_t)0x1b161479, (q31_t)0x82e61141, (q31_t)0x1b0ff05f, (q31_t)0x82e4bd07, (q31_t)0x1b09cc34, (q31_t)0x82e3691b, (q31_t)0x1b03a7f9, (q31_t)0x82e2157c,
+  (q31_t)0x1afd83ad, (q31_t)0x82e0c22a, (q31_t)0x1af75f50, (q31_t)0x82df6f25, (q31_t)0x1af13ae3, (q31_t)0x82de1c6d, (q31_t)0x1aeb1665, (q31_t)0x82dcca02,
+  (q31_t)0x1ae4f1d6, (q31_t)0x82db77e5, (q31_t)0x1adecd37, (q31_t)0x82da2615, (q31_t)0x1ad8a887, (q31_t)0x82d8d492, (q31_t)0x1ad283c7, (q31_t)0x82d7835c,
+  (q31_t)0x1acc5ef6, (q31_t)0x82d63274, (q31_t)0x1ac63a14, (q31_t)0x82d4e1d8, (q31_t)0x1ac01522, (q31_t)0x82d3918a, (q31_t)0x1ab9f020, (q31_t)0x82d24189,
+  (q31_t)0x1ab3cb0d, (q31_t)0x82d0f1d5, (q31_t)0x1aada5e9, (q31_t)0x82cfa26f, (q31_t)0x1aa780b6, (q31_t)0x82ce5356, (q31_t)0x1aa15b71, (q31_t)0x82cd048a,
+  (q31_t)0x1a9b361d, (q31_t)0x82cbb60b, (q31_t)0x1a9510b7, (q31_t)0x82ca67d9, (q31_t)0x1a8eeb42, (q31_t)0x82c919f5, (q31_t)0x1a88c5bc, (q31_t)0x82c7cc5e,
+  (q31_t)0x1a82a026, (q31_t)0x82c67f14, (q31_t)0x1a7c7a7f, (q31_t)0x82c53217, (q31_t)0x1a7654c8, (q31_t)0x82c3e568, (q31_t)0x1a702f01, (q31_t)0x82c29906,
+  (q31_t)0x1a6a0929, (q31_t)0x82c14cf1, (q31_t)0x1a63e341, (q31_t)0x82c00129, (q31_t)0x1a5dbd49, (q31_t)0x82beb5af, (q31_t)0x1a579741, (q31_t)0x82bd6a82,
+  (q31_t)0x1a517128, (q31_t)0x82bc1fa2, (q31_t)0x1a4b4aff, (q31_t)0x82bad50f, (q31_t)0x1a4524c6, (q31_t)0x82b98aca, (q31_t)0x1a3efe7c, (q31_t)0x82b840d2,
+  (q31_t)0x1a38d823, (q31_t)0x82b6f727, (q31_t)0x1a32b1b9, (q31_t)0x82b5adca, (q31_t)0x1a2c8b3f, (q31_t)0x82b464ba, (q31_t)0x1a2664b5, (q31_t)0x82b31bf7,
+  (q31_t)0x1a203e1b, (q31_t)0x82b1d381, (q31_t)0x1a1a1771, (q31_t)0x82b08b59, (q31_t)0x1a13f0b6, (q31_t)0x82af437e, (q31_t)0x1a0dc9ec, (q31_t)0x82adfbf0,
+  (q31_t)0x1a07a311, (q31_t)0x82acb4b0, (q31_t)0x1a017c27, (q31_t)0x82ab6dbd, (q31_t)0x19fb552c, (q31_t)0x82aa2717, (q31_t)0x19f52e22, (q31_t)0x82a8e0bf,
+  (q31_t)0x19ef0707, (q31_t)0x82a79ab3, (q31_t)0x19e8dfdc, (q31_t)0x82a654f6, (q31_t)0x19e2b8a2, (q31_t)0x82a50f85, (q31_t)0x19dc9157, (q31_t)0x82a3ca62,
+  (q31_t)0x19d669fc, (q31_t)0x82a2858c, (q31_t)0x19d04292, (q31_t)0x82a14104, (q31_t)0x19ca1b17, (q31_t)0x829ffcc8, (q31_t)0x19c3f38d, (q31_t)0x829eb8db,
+  (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x19b7a449, (q31_t)0x829c31e7, (q31_t)0x19b17c8f, (q31_t)0x829aeee1, (q31_t)0x19ab54c5, (q31_t)0x8299ac29,
+  (q31_t)0x19a52ceb, (q31_t)0x829869be, (q31_t)0x199f0502, (q31_t)0x829727a0, (q31_t)0x1998dd09, (q31_t)0x8295e5cf, (q31_t)0x1992b4ff, (q31_t)0x8294a44c,
+  (q31_t)0x198c8ce7, (q31_t)0x82936317, (q31_t)0x198664be, (q31_t)0x8292222e, (q31_t)0x19803c86, (q31_t)0x8290e194, (q31_t)0x197a143e, (q31_t)0x828fa146,
+  (q31_t)0x1973ebe6, (q31_t)0x828e6146, (q31_t)0x196dc37e, (q31_t)0x828d2193, (q31_t)0x19679b07, (q31_t)0x828be22e, (q31_t)0x19617280, (q31_t)0x828aa316,
+  (q31_t)0x195b49ea, (q31_t)0x8289644b, (q31_t)0x19552144, (q31_t)0x828825ce, (q31_t)0x194ef88e, (q31_t)0x8286e79e, (q31_t)0x1948cfc8, (q31_t)0x8285a9bb,
+  (q31_t)0x1942a6f3, (q31_t)0x82846c26, (q31_t)0x193c7e0f, (q31_t)0x82832edf, (q31_t)0x1936551b, (q31_t)0x8281f1e4, (q31_t)0x19302c17, (q31_t)0x8280b538,
+  (q31_t)0x192a0304, (q31_t)0x827f78d8, (q31_t)0x1923d9e1, (q31_t)0x827e3cc6, (q31_t)0x191db0af, (q31_t)0x827d0102, (q31_t)0x1917876d, (q31_t)0x827bc58a,
+  (q31_t)0x19115e1c, (q31_t)0x827a8a61, (q31_t)0x190b34bb, (q31_t)0x82794f84, (q31_t)0x19050b4b, (q31_t)0x827814f6, (q31_t)0x18fee1cb, (q31_t)0x8276dab4,
+  (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x18f28e9e, (q31_t)0x8274671a, (q31_t)0x18ec64f0, (q31_t)0x82732dc0, (q31_t)0x18e63b33, (q31_t)0x8271f4b5,
+  (q31_t)0x18e01167, (q31_t)0x8270bbf7, (q31_t)0x18d9e78b, (q31_t)0x826f8386, (q31_t)0x18d3bda0, (q31_t)0x826e4b62, (q31_t)0x18cd93a5, (q31_t)0x826d138d,
+  (q31_t)0x18c7699b, (q31_t)0x826bdc04, (q31_t)0x18c13f82, (q31_t)0x826aa4c9, (q31_t)0x18bb155a, (q31_t)0x82696ddc, (q31_t)0x18b4eb22, (q31_t)0x8268373c,
+  (q31_t)0x18aec0db, (q31_t)0x826700e9, (q31_t)0x18a89685, (q31_t)0x8265cae4, (q31_t)0x18a26c20, (q31_t)0x8264952d, (q31_t)0x189c41ab, (q31_t)0x82635fc2,
+  (q31_t)0x18961728, (q31_t)0x82622aa6, (q31_t)0x188fec95, (q31_t)0x8260f5d7, (q31_t)0x1889c1f3, (q31_t)0x825fc155, (q31_t)0x18839742, (q31_t)0x825e8d21,
+  (q31_t)0x187d6c82, (q31_t)0x825d593a, (q31_t)0x187741b2, (q31_t)0x825c25a1, (q31_t)0x187116d4, (q31_t)0x825af255, (q31_t)0x186aebe6, (q31_t)0x8259bf57,
+  (q31_t)0x1864c0ea, (q31_t)0x82588ca7, (q31_t)0x185e95de, (q31_t)0x82575a44, (q31_t)0x18586ac3, (q31_t)0x8256282e, (q31_t)0x18523f9a, (q31_t)0x8254f666,
+  (q31_t)0x184c1461, (q31_t)0x8253c4eb, (q31_t)0x1845e919, (q31_t)0x825293be, (q31_t)0x183fbdc3, (q31_t)0x825162df, (q31_t)0x1839925d, (q31_t)0x8250324d,
+  (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x182d3b65, (q31_t)0x824dd211, (q31_t)0x18270fd3, (q31_t)0x824ca268, (q31_t)0x1820e431, (q31_t)0x824b730c,
+  (q31_t)0x181ab881, (q31_t)0x824a43fe, (q31_t)0x18148cc2, (q31_t)0x8249153d, (q31_t)0x180e60f4, (q31_t)0x8247e6ca, (q31_t)0x18083518, (q31_t)0x8246b8a4,
+  (q31_t)0x1802092c, (q31_t)0x82458acc, (q31_t)0x17fbdd32, (q31_t)0x82445d41, (q31_t)0x17f5b129, (q31_t)0x82433004, (q31_t)0x17ef8511, (q31_t)0x82420315,
+  (q31_t)0x17e958ea, (q31_t)0x8240d673, (q31_t)0x17e32cb5, (q31_t)0x823faa1e, (q31_t)0x17dd0070, (q31_t)0x823e7e18, (q31_t)0x17d6d41d, (q31_t)0x823d525e,
+  (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, (q31_t)0x17ca7b4c, (q31_t)0x823afbd5, (q31_t)0x17c44ecd, (q31_t)0x8239d104, (q31_t)0x17be223f, (q31_t)0x8238a681,
+  (q31_t)0x17b7f5a3, (q31_t)0x82377c4c, (q31_t)0x17b1c8f8, (q31_t)0x82365264, (q31_t)0x17ab9c3e, (q31_t)0x823528ca, (q31_t)0x17a56f76, (q31_t)0x8233ff7e,
+  (q31_t)0x179f429f, (q31_t)0x8232d67f, (q31_t)0x179915ba, (q31_t)0x8231adce, (q31_t)0x1792e8c6, (q31_t)0x8230856a, (q31_t)0x178cbbc4, (q31_t)0x822f5d54,
+  (q31_t)0x17868eb3, (q31_t)0x822e358b, (q31_t)0x17806194, (q31_t)0x822d0e10, (q31_t)0x177a3466, (q31_t)0x822be6e3, (q31_t)0x17740729, (q31_t)0x822ac004,
+  (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x1767ac85, (q31_t)0x8228732d, (q31_t)0x17617f1d, (q31_t)0x82274d36, (q31_t)0x175b51a7, (q31_t)0x8226278d,
+  (q31_t)0x17552422, (q31_t)0x82250232, (q31_t)0x174ef68f, (q31_t)0x8223dd24, (q31_t)0x1748c8ee, (q31_t)0x8222b863, (q31_t)0x17429b3e, (q31_t)0x822193f1,
+  (q31_t)0x173c6d80, (q31_t)0x82206fcc, (q31_t)0x17363fb4, (q31_t)0x821f4bf5, (q31_t)0x173011d9, (q31_t)0x821e286b, (q31_t)0x1729e3f0, (q31_t)0x821d052f,
+  (q31_t)0x1723b5f9, (q31_t)0x821be240, (q31_t)0x171d87f3, (q31_t)0x821abfa0, (q31_t)0x171759df, (q31_t)0x82199d4d, (q31_t)0x17112bbd, (q31_t)0x82187b47,
+  (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x1704cf4f, (q31_t)0x82163826, (q31_t)0x16fea102, (q31_t)0x82151709, (q31_t)0x16f872a7, (q31_t)0x8213f63a,
+  (q31_t)0x16f2443e, (q31_t)0x8212d5b9, (q31_t)0x16ec15c7, (q31_t)0x8211b586, (q31_t)0x16e5e741, (q31_t)0x821095a0, (q31_t)0x16dfb8ae, (q31_t)0x820f7608,
+  (q31_t)0x16d98a0c, (q31_t)0x820e56be, (q31_t)0x16d35b5c, (q31_t)0x820d37c1, (q31_t)0x16cd2c9f, (q31_t)0x820c1912, (q31_t)0x16c6fdd3, (q31_t)0x820afab1,
+  (q31_t)0x16c0cef9, (q31_t)0x8209dc9e, (q31_t)0x16baa011, (q31_t)0x8208bed8, (q31_t)0x16b4711b, (q31_t)0x8207a160, (q31_t)0x16ae4217, (q31_t)0x82068435,
+  (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x16a1e3e5, (q31_t)0x82044ac9, (q31_t)0x169bb4b7, (q31_t)0x82032e88, (q31_t)0x1695857b, (q31_t)0x82021294,
+  (q31_t)0x168f5632, (q31_t)0x8200f6ef, (q31_t)0x168926da, (q31_t)0x81ffdb96, (q31_t)0x1682f774, (q31_t)0x81fec08c, (q31_t)0x167cc801, (q31_t)0x81fda5cf,
+  (q31_t)0x1676987f, (q31_t)0x81fc8b60, (q31_t)0x167068f0, (q31_t)0x81fb713f, (q31_t)0x166a3953, (q31_t)0x81fa576c, (q31_t)0x166409a8, (q31_t)0x81f93de6,
+  (q31_t)0x165dd9f0, (q31_t)0x81f824ae, (q31_t)0x1657aa29, (q31_t)0x81f70bc3, (q31_t)0x16517a55, (q31_t)0x81f5f327, (q31_t)0x164b4a73, (q31_t)0x81f4dad8,
+  (q31_t)0x16451a83, (q31_t)0x81f3c2d7, (q31_t)0x163eea86, (q31_t)0x81f2ab24, (q31_t)0x1638ba7a, (q31_t)0x81f193be, (q31_t)0x16328a61, (q31_t)0x81f07ca6,
+  (q31_t)0x162c5a3b, (q31_t)0x81ef65dc, (q31_t)0x16262a06, (q31_t)0x81ee4f60, (q31_t)0x161ff9c4, (q31_t)0x81ed3932, (q31_t)0x1619c975, (q31_t)0x81ec2351,
+  (q31_t)0x16139918, (q31_t)0x81eb0dbe, (q31_t)0x160d68ad, (q31_t)0x81e9f879, (q31_t)0x16073834, (q31_t)0x81e8e381, (q31_t)0x160107ae, (q31_t)0x81e7ced8,
+  (q31_t)0x15fad71b, (q31_t)0x81e6ba7c, (q31_t)0x15f4a679, (q31_t)0x81e5a66e, (q31_t)0x15ee75cb, (q31_t)0x81e492ad, (q31_t)0x15e8450e, (q31_t)0x81e37f3b,
+  (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x15dbe36d, (q31_t)0x81e1593f, (q31_t)0x15d5b288, (q31_t)0x81e046b6, (q31_t)0x15cf8196, (q31_t)0x81df347b,
+  (q31_t)0x15c95097, (q31_t)0x81de228d, (q31_t)0x15c31f89, (q31_t)0x81dd10ee, (q31_t)0x15bcee6f, (q31_t)0x81dbff9c, (q31_t)0x15b6bd47, (q31_t)0x81daee98,
+  (q31_t)0x15b08c12, (q31_t)0x81d9dde1, (q31_t)0x15aa5acf, (q31_t)0x81d8cd79, (q31_t)0x15a4297f, (q31_t)0x81d7bd5e, (q31_t)0x159df821, (q31_t)0x81d6ad92,
+  (q31_t)0x1597c6b7, (q31_t)0x81d59e13, (q31_t)0x1591953e, (q31_t)0x81d48ee1, (q31_t)0x158b63b9, (q31_t)0x81d37ffe, (q31_t)0x15853226, (q31_t)0x81d27169,
+  (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x1578ced9, (q31_t)0x81d05527, (q31_t)0x15729d1f, (q31_t)0x81cf477b, (q31_t)0x156c6b57, (q31_t)0x81ce3a1d,
+  (q31_t)0x15663982, (q31_t)0x81cd2d0c, (q31_t)0x156007a0, (q31_t)0x81cc204a, (q31_t)0x1559d5b1, (q31_t)0x81cb13d5, (q31_t)0x1553a3b4, (q31_t)0x81ca07af,
+  (q31_t)0x154d71aa, (q31_t)0x81c8fbd6, (q31_t)0x15473f94, (q31_t)0x81c7f04b, (q31_t)0x15410d70, (q31_t)0x81c6e50d, (q31_t)0x153adb3f, (q31_t)0x81c5da1e,
+  (q31_t)0x1534a901, (q31_t)0x81c4cf7d, (q31_t)0x152e76b5, (q31_t)0x81c3c529, (q31_t)0x1528445d, (q31_t)0x81c2bb23, (q31_t)0x152211f8, (q31_t)0x81c1b16b,
+  (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x1515ad06, (q31_t)0x81bf9ee5, (q31_t)0x150f7a7a, (q31_t)0x81be9617, (q31_t)0x150947e1, (q31_t)0x81bd8d97,
+  (q31_t)0x1503153a, (q31_t)0x81bc8564, (q31_t)0x14fce287, (q31_t)0x81bb7d7f, (q31_t)0x14f6afc7, (q31_t)0x81ba75e9, (q31_t)0x14f07cf9, (q31_t)0x81b96ea0,
+  (q31_t)0x14ea4a1f, (q31_t)0x81b867a5, (q31_t)0x14e41738, (q31_t)0x81b760f8, (q31_t)0x14dde445, (q31_t)0x81b65a99, (q31_t)0x14d7b144, (q31_t)0x81b55488,
+  (q31_t)0x14d17e36, (q31_t)0x81b44ec4, (q31_t)0x14cb4b1c, (q31_t)0x81b3494f, (q31_t)0x14c517f4, (q31_t)0x81b24427, (q31_t)0x14bee4c0, (q31_t)0x81b13f4e,
+  (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, (q31_t)0x14b27e32, (q31_t)0x81af3684, (q31_t)0x14ac4ad7, (q31_t)0x81ae3294, (q31_t)0x14a61770, (q31_t)0x81ad2ef2,
+  (q31_t)0x149fe3fc, (q31_t)0x81ac2b9e, (q31_t)0x1499b07c, (q31_t)0x81ab2898, (q31_t)0x14937cee, (q31_t)0x81aa25e0, (q31_t)0x148d4954, (q31_t)0x81a92376,
+  (q31_t)0x148715ae, (q31_t)0x81a82159, (q31_t)0x1480e1fa, (q31_t)0x81a71f8b, (q31_t)0x147aae3a, (q31_t)0x81a61e0b, (q31_t)0x14747a6d, (q31_t)0x81a51cd8,
+  (q31_t)0x146e4694, (q31_t)0x81a41bf4, (q31_t)0x146812ae, (q31_t)0x81a31b5d, (q31_t)0x1461debc, (q31_t)0x81a21b14, (q31_t)0x145baabd, (q31_t)0x81a11b1a,
+  (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x144f4299, (q31_t)0x819f1c0e, (q31_t)0x14490e74, (q31_t)0x819e1cfd, (q31_t)0x1442da43, (q31_t)0x819d1e3a,
+  (q31_t)0x143ca605, (q31_t)0x819c1fc5, (q31_t)0x143671bb, (q31_t)0x819b219e, (q31_t)0x14303d65, (q31_t)0x819a23c5, (q31_t)0x142a0902, (q31_t)0x8199263a,
+  (q31_t)0x1423d492, (q31_t)0x819828fd, (q31_t)0x141da016, (q31_t)0x81972c0e, (q31_t)0x14176b8e, (q31_t)0x81962f6d, (q31_t)0x141136f9, (q31_t)0x8195331a,
+  (q31_t)0x140b0258, (q31_t)0x81943715, (q31_t)0x1404cdaa, (q31_t)0x81933b5e, (q31_t)0x13fe98f1, (q31_t)0x81923ff4, (q31_t)0x13f8642a, (q31_t)0x819144d9,
+  (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x13ebfa79, (q31_t)0x818f4f8d, (q31_t)0x13e5c58e, (q31_t)0x818e555c, (q31_t)0x13df9097, (q31_t)0x818d5b78,
+  (q31_t)0x13d95b93, (q31_t)0x818c61e3, (q31_t)0x13d32683, (q31_t)0x818b689c, (q31_t)0x13ccf167, (q31_t)0x818a6fa3, (q31_t)0x13c6bc3f, (q31_t)0x818976f8,
+  (q31_t)0x13c0870a, (q31_t)0x81887e9a, (q31_t)0x13ba51ca, (q31_t)0x8187868b, (q31_t)0x13b41c7d, (q31_t)0x81868eca, (q31_t)0x13ade724, (q31_t)0x81859757,
+  (q31_t)0x13a7b1bf, (q31_t)0x8184a032, (q31_t)0x13a17c4d, (q31_t)0x8183a95b, (q31_t)0x139b46d0, (q31_t)0x8182b2d1, (q31_t)0x13951146, (q31_t)0x8181bc96,
+  (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x1388a60f, (q31_t)0x817fd10a, (q31_t)0x13827062, (q31_t)0x817edbb9, (q31_t)0x137c3aa8, (q31_t)0x817de6b6,
+  (q31_t)0x137604e2, (q31_t)0x817cf201, (q31_t)0x136fcf10, (q31_t)0x817bfd9b, (q31_t)0x13699933, (q31_t)0x817b0982, (q31_t)0x13636349, (q31_t)0x817a15b7,
+  (q31_t)0x135d2d53, (q31_t)0x8179223a, (q31_t)0x1356f752, (q31_t)0x81782f0b, (q31_t)0x1350c144, (q31_t)0x81773c2b, (q31_t)0x134a8b2b, (q31_t)0x81764998,
+  (q31_t)0x13445505, (q31_t)0x81755754, (q31_t)0x133e1ed4, (q31_t)0x8174655d, (q31_t)0x1337e897, (q31_t)0x817373b5, (q31_t)0x1331b24e, (q31_t)0x8172825a,
+  (q31_t)0x132b7bf9, (q31_t)0x8171914e, (q31_t)0x13254599, (q31_t)0x8170a090, (q31_t)0x131f0f2c, (q31_t)0x816fb020, (q31_t)0x1318d8b4, (q31_t)0x816ebffe,
+  (q31_t)0x1312a230, (q31_t)0x816dd02a, (q31_t)0x130c6ba0, (q31_t)0x816ce0a4, (q31_t)0x13063505, (q31_t)0x816bf16c, (q31_t)0x12fffe5d, (q31_t)0x816b0282,
+  (q31_t)0x12f9c7aa, (q31_t)0x816a13e6, (q31_t)0x12f390ec, (q31_t)0x81692599, (q31_t)0x12ed5a21, (q31_t)0x81683799, (q31_t)0x12e7234b, (q31_t)0x816749e8,
+  (q31_t)0x12e0ec6a, (q31_t)0x81665c84, (q31_t)0x12dab57c, (q31_t)0x81656f6f, (q31_t)0x12d47e83, (q31_t)0x816482a8, (q31_t)0x12ce477f, (q31_t)0x8163962f,
+  (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x12c1d953, (q31_t)0x8161be27, (q31_t)0x12bba22b, (q31_t)0x8160d298, (q31_t)0x12b56af9, (q31_t)0x815fe758,
+  (q31_t)0x12af33ba, (q31_t)0x815efc65, (q31_t)0x12a8fc70, (q31_t)0x815e11c1, (q31_t)0x12a2c51b, (q31_t)0x815d276a, (q31_t)0x129c8dba, (q31_t)0x815c3d62,
+  (q31_t)0x1296564d, (q31_t)0x815b53a8, (q31_t)0x12901ed5, (q31_t)0x815a6a3c, (q31_t)0x1289e752, (q31_t)0x8159811e, (q31_t)0x1283afc3, (q31_t)0x8158984e,
+  (q31_t)0x127d7829, (q31_t)0x8157afcd, (q31_t)0x12774083, (q31_t)0x8156c799, (q31_t)0x127108d2, (q31_t)0x8155dfb4, (q31_t)0x126ad116, (q31_t)0x8154f81d,
+  (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x125e617b, (q31_t)0x815329d9, (q31_t)0x1258299c, (q31_t)0x8152432c, (q31_t)0x1251f1b3, (q31_t)0x81515ccd,
+  (q31_t)0x124bb9be, (q31_t)0x815076bd, (q31_t)0x124581bd, (q31_t)0x814f90fb, (q31_t)0x123f49b2, (q31_t)0x814eab86, (q31_t)0x1239119b, (q31_t)0x814dc660,
+  (q31_t)0x1232d979, (q31_t)0x814ce188, (q31_t)0x122ca14b, (q31_t)0x814bfcff, (q31_t)0x12266913, (q31_t)0x814b18c3, (q31_t)0x122030cf, (q31_t)0x814a34d6,
+  (q31_t)0x1219f880, (q31_t)0x81495136, (q31_t)0x1213c026, (q31_t)0x81486de5, (q31_t)0x120d87c1, (q31_t)0x81478ae2, (q31_t)0x12074f50, (q31_t)0x8146a82e,
+  (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x11fade4e, (q31_t)0x8144e3ae, (q31_t)0x11f4a5bd, (q31_t)0x814401e4, (q31_t)0x11ee6d20, (q31_t)0x81432068,
+  (q31_t)0x11e83478, (q31_t)0x81423f3a, (q31_t)0x11e1fbc5, (q31_t)0x81415e5a, (q31_t)0x11dbc307, (q31_t)0x81407dc9, (q31_t)0x11d58a3e, (q31_t)0x813f9d86,
+  (q31_t)0x11cf516a, (q31_t)0x813ebd90, (q31_t)0x11c9188b, (q31_t)0x813ddde9, (q31_t)0x11c2dfa2, (q31_t)0x813cfe91, (q31_t)0x11bca6ad, (q31_t)0x813c1f86,
+  (q31_t)0x11b66dad, (q31_t)0x813b40ca, (q31_t)0x11b034a2, (q31_t)0x813a625b, (q31_t)0x11a9fb8d, (q31_t)0x8139843b, (q31_t)0x11a3c26c, (q31_t)0x8138a66a,
+  (q31_t)0x119d8941, (q31_t)0x8137c8e6, (q31_t)0x1197500a, (q31_t)0x8136ebb1, (q31_t)0x119116c9, (q31_t)0x81360ec9, (q31_t)0x118add7d, (q31_t)0x81353230,
+  (q31_t)0x1184a427, (q31_t)0x813455e6, (q31_t)0x117e6ac5, (q31_t)0x813379e9, (q31_t)0x11783159, (q31_t)0x81329e3b, (q31_t)0x1171f7e2, (q31_t)0x8131c2db,
+  (q31_t)0x116bbe60, (q31_t)0x8130e7c9, (q31_t)0x116584d3, (q31_t)0x81300d05, (q31_t)0x115f4b3c, (q31_t)0x812f3290, (q31_t)0x1159119a, (q31_t)0x812e5868,
+  (q31_t)0x1152d7ed, (q31_t)0x812d7e8f, (q31_t)0x114c9e35, (q31_t)0x812ca505, (q31_t)0x11466473, (q31_t)0x812bcbc8, (q31_t)0x11402aa6, (q31_t)0x812af2da,
+  (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x1133b6ed, (q31_t)0x812941e8, (q31_t)0x112d7d00, (q31_t)0x812869e4, (q31_t)0x11274309, (q31_t)0x8127922f,
+  (q31_t)0x11210907, (q31_t)0x8126bac8, (q31_t)0x111acefb, (q31_t)0x8125e3af, (q31_t)0x111494e4, (q31_t)0x81250ce4, (q31_t)0x110e5ac2, (q31_t)0x81243668,
+  (q31_t)0x11082096, (q31_t)0x8123603a, (q31_t)0x1101e65f, (q31_t)0x81228a5a, (q31_t)0x10fbac1e, (q31_t)0x8121b4c8, (q31_t)0x10f571d3, (q31_t)0x8120df85,
+  (q31_t)0x10ef377d, (q31_t)0x81200a90, (q31_t)0x10e8fd1c, (q31_t)0x811f35e9, (q31_t)0x10e2c2b2, (q31_t)0x811e6191, (q31_t)0x10dc883c, (q31_t)0x811d8d86,
+  (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x10d01333, (q31_t)0x811be65d, (q31_t)0x10c9d89e, (q31_t)0x811b133d, (q31_t)0x10c39dff, (q31_t)0x811a406c,
+  (q31_t)0x10bd6356, (q31_t)0x81196de9, (q31_t)0x10b728a3, (q31_t)0x81189bb4, (q31_t)0x10b0ede5, (q31_t)0x8117c9ce, (q31_t)0x10aab31d, (q31_t)0x8116f836,
+  (q31_t)0x10a4784b, (q31_t)0x811626ec, (q31_t)0x109e3d6e, (q31_t)0x811555f1, (q31_t)0x10980287, (q31_t)0x81148544, (q31_t)0x1091c796, (q31_t)0x8113b4e5,
+  (q31_t)0x108b8c9b, (q31_t)0x8112e4d4, (q31_t)0x10855195, (q31_t)0x81121512, (q31_t)0x107f1686, (q31_t)0x8111459e, (q31_t)0x1078db6c, (q31_t)0x81107678,
+  (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x106c651a, (q31_t)0x810ed917, (q31_t)0x106629e1, (q31_t)0x810e0adc, (q31_t)0x105fee9f, (q31_t)0x810d3cf0,
+  (q31_t)0x1059b352, (q31_t)0x810c6f52, (q31_t)0x105377fc, (q31_t)0x810ba202, (q31_t)0x104d3c9b, (q31_t)0x810ad500, (q31_t)0x10470130, (q31_t)0x810a084d,
+  (q31_t)0x1040c5bb, (q31_t)0x81093be8, (q31_t)0x103a8a3d, (q31_t)0x81086fd1, (q31_t)0x10344eb4, (q31_t)0x8107a409, (q31_t)0x102e1321, (q31_t)0x8106d88f,
+  (q31_t)0x1027d784, (q31_t)0x81060d63, (q31_t)0x10219bdd, (q31_t)0x81054286, (q31_t)0x101b602d, (q31_t)0x810477f7, (q31_t)0x10152472, (q31_t)0x8103adb6,
+  (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, (q31_t)0x1008acdf, (q31_t)0x81021a20, (q31_t)0x10027107, (q31_t)0x810150ca, (q31_t)0xffc3524, (q31_t)0x810087c3,
+  (q31_t)0xff5f938, (q31_t)0x80ffbf0a, (q31_t)0xfefbd42, (q31_t)0x80fef69f, (q31_t)0xfe98143, (q31_t)0x80fe2e83, (q31_t)0xfe34539, (q31_t)0x80fd66b5,
+  (q31_t)0xfdd0926, (q31_t)0x80fc9f35, (q31_t)0xfd6cd08, (q31_t)0x80fbd804, (q31_t)0xfd090e1, (q31_t)0x80fb1121, (q31_t)0xfca54b1, (q31_t)0x80fa4a8c,
+  (q31_t)0xfc41876, (q31_t)0x80f98446, (q31_t)0xfbddc32, (q31_t)0x80f8be4e, (q31_t)0xfb79fe4, (q31_t)0x80f7f8a4, (q31_t)0xfb1638d, (q31_t)0x80f73349,
+  (q31_t)0xfab272b, (q31_t)0x80f66e3c, (q31_t)0xfa4eac0, (q31_t)0x80f5a97e, (q31_t)0xf9eae4c, (q31_t)0x80f4e50e, (q31_t)0xf9871ce, (q31_t)0x80f420ec,
+  (q31_t)0xf923546, (q31_t)0x80f35d19, (q31_t)0xf8bf8b4, (q31_t)0x80f29994, (q31_t)0xf85bc19, (q31_t)0x80f1d65d, (q31_t)0xf7f7f75, (q31_t)0x80f11375,
+  (q31_t)0xf7942c7, (q31_t)0x80f050db, (q31_t)0xf73060f, (q31_t)0x80ef8e90, (q31_t)0xf6cc94e, (q31_t)0x80eecc93, (q31_t)0xf668c83, (q31_t)0x80ee0ae4,
+  (q31_t)0xf604faf, (q31_t)0x80ed4984, (q31_t)0xf5a12d1, (q31_t)0x80ec8872, (q31_t)0xf53d5ea, (q31_t)0x80ebc7ae, (q31_t)0xf4d98f9, (q31_t)0x80eb0739,
+  (q31_t)0xf475bff, (q31_t)0x80ea4712, (q31_t)0xf411efb, (q31_t)0x80e9873a, (q31_t)0xf3ae1ee, (q31_t)0x80e8c7b0, (q31_t)0xf34a4d8, (q31_t)0x80e80874,
+  (q31_t)0xf2e67b8, (q31_t)0x80e74987, (q31_t)0xf282a8f, (q31_t)0x80e68ae8, (q31_t)0xf21ed5d, (q31_t)0x80e5cc98, (q31_t)0xf1bb021, (q31_t)0x80e50e96,
+  (q31_t)0xf1572dc, (q31_t)0x80e450e2, (q31_t)0xf0f358e, (q31_t)0x80e3937d, (q31_t)0xf08f836, (q31_t)0x80e2d666, (q31_t)0xf02bad5, (q31_t)0x80e2199e,
+  (q31_t)0xefc7d6b, (q31_t)0x80e15d24, (q31_t)0xef63ff7, (q31_t)0x80e0a0f8, (q31_t)0xef0027b, (q31_t)0x80dfe51b, (q31_t)0xee9c4f5, (q31_t)0x80df298c,
+  (q31_t)0xee38766, (q31_t)0x80de6e4c, (q31_t)0xedd49ce, (q31_t)0x80ddb35a, (q31_t)0xed70c2c, (q31_t)0x80dcf8b7, (q31_t)0xed0ce82, (q31_t)0x80dc3e62,
+  (q31_t)0xeca90ce, (q31_t)0x80db845b, (q31_t)0xec45311, (q31_t)0x80dacaa3, (q31_t)0xebe154b, (q31_t)0x80da1139, (q31_t)0xeb7d77c, (q31_t)0x80d9581e,
+  (q31_t)0xeb199a4, (q31_t)0x80d89f51, (q31_t)0xeab5bc3, (q31_t)0x80d7e6d3, (q31_t)0xea51dd8, (q31_t)0x80d72ea3, (q31_t)0xe9edfe5, (q31_t)0x80d676c1,
+  (q31_t)0xe98a1e9, (q31_t)0x80d5bf2e, (q31_t)0xe9263e3, (q31_t)0x80d507e9, (q31_t)0xe8c25d5, (q31_t)0x80d450f3, (q31_t)0xe85e7be, (q31_t)0x80d39a4b,
+  (q31_t)0xe7fa99e, (q31_t)0x80d2e3f2, (q31_t)0xe796b74, (q31_t)0x80d22de7, (q31_t)0xe732d42, (q31_t)0x80d1782a, (q31_t)0xe6cef07, (q31_t)0x80d0c2bc,
+  (q31_t)0xe66b0c3, (q31_t)0x80d00d9d, (q31_t)0xe607277, (q31_t)0x80cf58cc, (q31_t)0xe5a3421, (q31_t)0x80cea449, (q31_t)0xe53f5c2, (q31_t)0x80cdf015,
+  (q31_t)0xe4db75b, (q31_t)0x80cd3c2f, (q31_t)0xe4778eb, (q31_t)0x80cc8898, (q31_t)0xe413a72, (q31_t)0x80cbd54f, (q31_t)0xe3afbf0, (q31_t)0x80cb2255,
+  (q31_t)0xe34bd66, (q31_t)0x80ca6fa9, (q31_t)0xe2e7ed2, (q31_t)0x80c9bd4c, (q31_t)0xe284036, (q31_t)0x80c90b3d, (q31_t)0xe220191, (q31_t)0x80c8597c,
+  (q31_t)0xe1bc2e4, (q31_t)0x80c7a80a, (q31_t)0xe15842e, (q31_t)0x80c6f6e7, (q31_t)0xe0f456f, (q31_t)0x80c64612, (q31_t)0xe0906a7, (q31_t)0x80c5958b,
+  (q31_t)0xe02c7d7, (q31_t)0x80c4e553, (q31_t)0xdfc88fe, (q31_t)0x80c4356a, (q31_t)0xdf64a1c, (q31_t)0x80c385cf, (q31_t)0xdf00b32, (q31_t)0x80c2d682,
+  (q31_t)0xde9cc40, (q31_t)0x80c22784, (q31_t)0xde38d44, (q31_t)0x80c178d4, (q31_t)0xddd4e40, (q31_t)0x80c0ca73, (q31_t)0xdd70f34, (q31_t)0x80c01c60,
+  (q31_t)0xdd0d01f, (q31_t)0x80bf6e9c, (q31_t)0xdca9102, (q31_t)0x80bec127, (q31_t)0xdc451dc, (q31_t)0x80be13ff, (q31_t)0xdbe12ad, (q31_t)0x80bd6727,
+  (q31_t)0xdb7d376, (q31_t)0x80bcba9d, (q31_t)0xdb19437, (q31_t)0x80bc0e61, (q31_t)0xdab54ef, (q31_t)0x80bb6274, (q31_t)0xda5159f, (q31_t)0x80bab6d5,
+  (q31_t)0xd9ed646, (q31_t)0x80ba0b85, (q31_t)0xd9896e5, (q31_t)0x80b96083, (q31_t)0xd92577b, (q31_t)0x80b8b5d0, (q31_t)0xd8c1809, (q31_t)0x80b80b6c,
+  (q31_t)0xd85d88f, (q31_t)0x80b76156, (q31_t)0xd7f990c, (q31_t)0x80b6b78e, (q31_t)0xd795982, (q31_t)0x80b60e15, (q31_t)0xd7319ee, (q31_t)0x80b564ea,
+  (q31_t)0xd6cda53, (q31_t)0x80b4bc0e, (q31_t)0xd669aaf, (q31_t)0x80b41381, (q31_t)0xd605b03, (q31_t)0x80b36b42, (q31_t)0xd5a1b4f, (q31_t)0x80b2c351,
+  (q31_t)0xd53db92, (q31_t)0x80b21baf, (q31_t)0xd4d9bcd, (q31_t)0x80b1745c, (q31_t)0xd475c00, (q31_t)0x80b0cd57, (q31_t)0xd411c2b, (q31_t)0x80b026a1,
+  (q31_t)0xd3adc4e, (q31_t)0x80af8039, (q31_t)0xd349c68, (q31_t)0x80aeda20, (q31_t)0xd2e5c7b, (q31_t)0x80ae3455, (q31_t)0xd281c85, (q31_t)0x80ad8ed9,
+  (q31_t)0xd21dc87, (q31_t)0x80ace9ab, (q31_t)0xd1b9c81, (q31_t)0x80ac44cc, (q31_t)0xd155c73, (q31_t)0x80aba03b, (q31_t)0xd0f1c5d, (q31_t)0x80aafbf9,
+  (q31_t)0xd08dc3f, (q31_t)0x80aa5806, (q31_t)0xd029c18, (q31_t)0x80a9b461, (q31_t)0xcfc5bea, (q31_t)0x80a9110b, (q31_t)0xcf61bb4, (q31_t)0x80a86e03,
+  (q31_t)0xcefdb76, (q31_t)0x80a7cb49, (q31_t)0xce99b2f, (q31_t)0x80a728df, (q31_t)0xce35ae1, (q31_t)0x80a686c2, (q31_t)0xcdd1a8b, (q31_t)0x80a5e4f5,
+  (q31_t)0xcd6da2d, (q31_t)0x80a54376, (q31_t)0xcd099c7, (q31_t)0x80a4a245, (q31_t)0xcca5959, (q31_t)0x80a40163, (q31_t)0xcc418e3, (q31_t)0x80a360d0,
+  (q31_t)0xcbdd865, (q31_t)0x80a2c08b, (q31_t)0xcb797e0, (q31_t)0x80a22095, (q31_t)0xcb15752, (q31_t)0x80a180ed, (q31_t)0xcab16bd, (q31_t)0x80a0e194,
+  (q31_t)0xca4d620, (q31_t)0x80a04289, (q31_t)0xc9e957b, (q31_t)0x809fa3cd, (q31_t)0xc9854cf, (q31_t)0x809f0560, (q31_t)0xc92141a, (q31_t)0x809e6741,
+  (q31_t)0xc8bd35e, (q31_t)0x809dc971, (q31_t)0xc85929a, (q31_t)0x809d2bef, (q31_t)0xc7f51cf, (q31_t)0x809c8ebc, (q31_t)0xc7910fb, (q31_t)0x809bf1d7,
+  (q31_t)0xc72d020, (q31_t)0x809b5541, (q31_t)0xc6c8f3e, (q31_t)0x809ab8fa, (q31_t)0xc664e53, (q31_t)0x809a1d01, (q31_t)0xc600d61, (q31_t)0x80998157,
+  (q31_t)0xc59cc68, (q31_t)0x8098e5fb, (q31_t)0xc538b66, (q31_t)0x80984aee, (q31_t)0xc4d4a5d, (q31_t)0x8097b030, (q31_t)0xc47094d, (q31_t)0x809715c0,
+  (q31_t)0xc40c835, (q31_t)0x80967b9f, (q31_t)0xc3a8715, (q31_t)0x8095e1cc, (q31_t)0xc3445ee, (q31_t)0x80954848, (q31_t)0xc2e04c0, (q31_t)0x8094af13,
+  (q31_t)0xc27c389, (q31_t)0x8094162c, (q31_t)0xc21824c, (q31_t)0x80937d93, (q31_t)0xc1b4107, (q31_t)0x8092e54a, (q31_t)0xc14ffba, (q31_t)0x80924d4f,
+  (q31_t)0xc0ebe66, (q31_t)0x8091b5a2, (q31_t)0xc087d0a, (q31_t)0x80911e44, (q31_t)0xc023ba7, (q31_t)0x80908735, (q31_t)0xbfbfa3d, (q31_t)0x808ff074,
+  (q31_t)0xbf5b8cb, (q31_t)0x808f5a02, (q31_t)0xbef7752, (q31_t)0x808ec3df, (q31_t)0xbe935d2, (q31_t)0x808e2e0a, (q31_t)0xbe2f44a, (q31_t)0x808d9884,
+  (q31_t)0xbdcb2bb, (q31_t)0x808d034c, (q31_t)0xbd67124, (q31_t)0x808c6e63, (q31_t)0xbd02f87, (q31_t)0x808bd9c9, (q31_t)0xbc9ede2, (q31_t)0x808b457d,
+  (q31_t)0xbc3ac35, (q31_t)0x808ab180, (q31_t)0xbbd6a82, (q31_t)0x808a1dd2, (q31_t)0xbb728c7, (q31_t)0x80898a72, (q31_t)0xbb0e705, (q31_t)0x8088f761,
+  (q31_t)0xbaaa53b, (q31_t)0x8088649e, (q31_t)0xba4636b, (q31_t)0x8087d22a, (q31_t)0xb9e2193, (q31_t)0x80874005, (q31_t)0xb97dfb5, (q31_t)0x8086ae2e,
+  (q31_t)0xb919dcf, (q31_t)0x80861ca6, (q31_t)0xb8b5be1, (q31_t)0x80858b6c, (q31_t)0xb8519ed, (q31_t)0x8084fa82, (q31_t)0xb7ed7f2, (q31_t)0x808469e5,
+  (q31_t)0xb7895f0, (q31_t)0x8083d998, (q31_t)0xb7253e6, (q31_t)0x80834999, (q31_t)0xb6c11d5, (q31_t)0x8082b9e9, (q31_t)0xb65cfbe, (q31_t)0x80822a87,
+  (q31_t)0xb5f8d9f, (q31_t)0x80819b74, (q31_t)0xb594b7a, (q31_t)0x80810cb0, (q31_t)0xb53094d, (q31_t)0x80807e3a, (q31_t)0xb4cc719, (q31_t)0x807ff013,
+  (q31_t)0xb4684df, (q31_t)0x807f623b, (q31_t)0xb40429d, (q31_t)0x807ed4b1, (q31_t)0xb3a0055, (q31_t)0x807e4776, (q31_t)0xb33be05, (q31_t)0x807dba89,
+  (q31_t)0xb2d7baf, (q31_t)0x807d2dec, (q31_t)0xb273952, (q31_t)0x807ca19c, (q31_t)0xb20f6ee, (q31_t)0x807c159c, (q31_t)0xb1ab483, (q31_t)0x807b89ea,
+  (q31_t)0xb147211, (q31_t)0x807afe87, (q31_t)0xb0e2f98, (q31_t)0x807a7373, (q31_t)0xb07ed19, (q31_t)0x8079e8ad, (q31_t)0xb01aa92, (q31_t)0x80795e36,
+  (q31_t)0xafb6805, (q31_t)0x8078d40d, (q31_t)0xaf52571, (q31_t)0x80784a33, (q31_t)0xaeee2d7, (q31_t)0x8077c0a8, (q31_t)0xae8a036, (q31_t)0x8077376c,
+  (q31_t)0xae25d8d, (q31_t)0x8076ae7e, (q31_t)0xadc1adf, (q31_t)0x807625df, (q31_t)0xad5d829, (q31_t)0x80759d8e, (q31_t)0xacf956d, (q31_t)0x8075158c,
+  (q31_t)0xac952aa, (q31_t)0x80748dd9, (q31_t)0xac30fe1, (q31_t)0x80740675, (q31_t)0xabccd11, (q31_t)0x80737f5f, (q31_t)0xab68a3a, (q31_t)0x8072f898,
+  (q31_t)0xab0475c, (q31_t)0x8072721f, (q31_t)0xaaa0478, (q31_t)0x8071ebf6, (q31_t)0xaa3c18e, (q31_t)0x8071661a, (q31_t)0xa9d7e9d, (q31_t)0x8070e08e,
+  (q31_t)0xa973ba5, (q31_t)0x80705b50, (q31_t)0xa90f8a7, (q31_t)0x806fd661, (q31_t)0xa8ab5a2, (q31_t)0x806f51c1, (q31_t)0xa847297, (q31_t)0x806ecd6f,
+  (q31_t)0xa7e2f85, (q31_t)0x806e496c, (q31_t)0xa77ec6d, (q31_t)0x806dc5b8, (q31_t)0xa71a94f, (q31_t)0x806d4253, (q31_t)0xa6b662a, (q31_t)0x806cbf3c,
+  (q31_t)0xa6522fe, (q31_t)0x806c3c74, (q31_t)0xa5edfcc, (q31_t)0x806bb9fa, (q31_t)0xa589c94, (q31_t)0x806b37cf, (q31_t)0xa525955, (q31_t)0x806ab5f3,
+  (q31_t)0xa4c1610, (q31_t)0x806a3466, (q31_t)0xa45d2c5, (q31_t)0x8069b327, (q31_t)0xa3f8f73, (q31_t)0x80693237, (q31_t)0xa394c1b, (q31_t)0x8068b196,
+  (q31_t)0xa3308bd, (q31_t)0x80683143, (q31_t)0xa2cc558, (q31_t)0x8067b13f, (q31_t)0xa2681ed, (q31_t)0x8067318a, (q31_t)0xa203e7c, (q31_t)0x8066b224,
+  (q31_t)0xa19fb04, (q31_t)0x8066330c, (q31_t)0xa13b787, (q31_t)0x8065b443, (q31_t)0xa0d7403, (q31_t)0x806535c9, (q31_t)0xa073079, (q31_t)0x8064b79d,
+  (q31_t)0xa00ece8, (q31_t)0x806439c0, (q31_t)0x9faa952, (q31_t)0x8063bc32, (q31_t)0x9f465b5, (q31_t)0x80633ef3, (q31_t)0x9ee2213, (q31_t)0x8062c202,
+  (q31_t)0x9e7de6a, (q31_t)0x80624560, (q31_t)0x9e19abb, (q31_t)0x8061c90c, (q31_t)0x9db5706, (q31_t)0x80614d08, (q31_t)0x9d5134b, (q31_t)0x8060d152,
+  (q31_t)0x9cecf89, (q31_t)0x806055eb, (q31_t)0x9c88bc2, (q31_t)0x805fdad2, (q31_t)0x9c247f5, (q31_t)0x805f6009, (q31_t)0x9bc0421, (q31_t)0x805ee58e,
+  (q31_t)0x9b5c048, (q31_t)0x805e6b62, (q31_t)0x9af7c69, (q31_t)0x805df184, (q31_t)0x9a93884, (q31_t)0x805d77f5, (q31_t)0x9a2f498, (q31_t)0x805cfeb5,
+  (q31_t)0x99cb0a7, (q31_t)0x805c85c4, (q31_t)0x9966cb0, (q31_t)0x805c0d21, (q31_t)0x99028b3, (q31_t)0x805b94ce, (q31_t)0x989e4b0, (q31_t)0x805b1cc8,
+  (q31_t)0x983a0a7, (q31_t)0x805aa512, (q31_t)0x97d5c99, (q31_t)0x805a2daa, (q31_t)0x9771884, (q31_t)0x8059b692, (q31_t)0x970d46a, (q31_t)0x80593fc7,
+  (q31_t)0x96a9049, (q31_t)0x8058c94c, (q31_t)0x9644c23, (q31_t)0x8058531f, (q31_t)0x95e07f8, (q31_t)0x8057dd41, (q31_t)0x957c3c6, (q31_t)0x805767b2,
+  (q31_t)0x9517f8f, (q31_t)0x8056f272, (q31_t)0x94b3b52, (q31_t)0x80567d80, (q31_t)0x944f70f, (q31_t)0x805608dd, (q31_t)0x93eb2c6, (q31_t)0x80559489,
+  (q31_t)0x9386e78, (q31_t)0x80552084, (q31_t)0x9322a24, (q31_t)0x8054accd, (q31_t)0x92be5ca, (q31_t)0x80543965, (q31_t)0x925a16b, (q31_t)0x8053c64c,
+  (q31_t)0x91f5d06, (q31_t)0x80535381, (q31_t)0x919189c, (q31_t)0x8052e106, (q31_t)0x912d42c, (q31_t)0x80526ed9, (q31_t)0x90c8fb6, (q31_t)0x8051fcfb,
+  (q31_t)0x9064b3a, (q31_t)0x80518b6b, (q31_t)0x90006ba, (q31_t)0x80511a2b, (q31_t)0x8f9c233, (q31_t)0x8050a939, (q31_t)0x8f37da7, (q31_t)0x80503896,
+  (q31_t)0x8ed3916, (q31_t)0x804fc841, (q31_t)0x8e6f47f, (q31_t)0x804f583c, (q31_t)0x8e0afe2, (q31_t)0x804ee885, (q31_t)0x8da6b40, (q31_t)0x804e791d,
+  (q31_t)0x8d42699, (q31_t)0x804e0a04, (q31_t)0x8cde1ec, (q31_t)0x804d9b39, (q31_t)0x8c79d3a, (q31_t)0x804d2cbd, (q31_t)0x8c15882, (q31_t)0x804cbe90,
+  (q31_t)0x8bb13c5, (q31_t)0x804c50b2, (q31_t)0x8b4cf02, (q31_t)0x804be323, (q31_t)0x8ae8a3a, (q31_t)0x804b75e2, (q31_t)0x8a8456d, (q31_t)0x804b08f0,
+  (q31_t)0x8a2009a, (q31_t)0x804a9c4d, (q31_t)0x89bbbc3, (q31_t)0x804a2ff9, (q31_t)0x89576e5, (q31_t)0x8049c3f3, (q31_t)0x88f3203, (q31_t)0x8049583d,
+  (q31_t)0x888ed1b, (q31_t)0x8048ecd5, (q31_t)0x882a82e, (q31_t)0x804881bb, (q31_t)0x87c633c, (q31_t)0x804816f1, (q31_t)0x8761e44, (q31_t)0x8047ac75,
+  (q31_t)0x86fd947, (q31_t)0x80474248, (q31_t)0x8699445, (q31_t)0x8046d86a, (q31_t)0x8634f3e, (q31_t)0x80466edb, (q31_t)0x85d0a32, (q31_t)0x8046059b,
+  (q31_t)0x856c520, (q31_t)0x80459ca9, (q31_t)0x850800a, (q31_t)0x80453406, (q31_t)0x84a3aee, (q31_t)0x8044cbb2, (q31_t)0x843f5cd, (q31_t)0x804463ad,
+  (q31_t)0x83db0a7, (q31_t)0x8043fbf6, (q31_t)0x8376b7c, (q31_t)0x8043948e, (q31_t)0x831264c, (q31_t)0x80432d75, (q31_t)0x82ae117, (q31_t)0x8042c6ab,
+  (q31_t)0x8249bdd, (q31_t)0x80426030, (q31_t)0x81e569d, (q31_t)0x8041fa03, (q31_t)0x8181159, (q31_t)0x80419425, (q31_t)0x811cc10, (q31_t)0x80412e96,
+  (q31_t)0x80b86c2, (q31_t)0x8040c956, (q31_t)0x805416e, (q31_t)0x80406465, (q31_t)0x7fefc16, (q31_t)0x803fffc2, (q31_t)0x7f8b6b9, (q31_t)0x803f9b6f,
+  (q31_t)0x7f27157, (q31_t)0x803f376a, (q31_t)0x7ec2bf0, (q31_t)0x803ed3b3, (q31_t)0x7e5e685, (q31_t)0x803e704c, (q31_t)0x7dfa114, (q31_t)0x803e0d34,
+  (q31_t)0x7d95b9e, (q31_t)0x803daa6a, (q31_t)0x7d31624, (q31_t)0x803d47ef, (q31_t)0x7ccd0a5, (q31_t)0x803ce5c3, (q31_t)0x7c68b21, (q31_t)0x803c83e5,
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+  (q31_t)0x710a345, (q31_t)0x8031f3c2, (q31_t)0x70a5d37, (q31_t)0x80319b21, (q31_t)0x7041726, (q31_t)0x803142cf, (q31_t)0x6fdd110, (q31_t)0x8030eacd,
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+  (q31_t)0x6c5598a, (q31_t)0x802de08e, (q31_t)0x6bf1349, (q31_t)0x802d8ba0, (q31_t)0x6b8cd05, (q31_t)0x802d3700, (q31_t)0x6b286bc, (q31_t)0x802ce2af,
+  (q31_t)0x6ac406f, (q31_t)0x802c8ead, (q31_t)0x6a5fa1e, (q31_t)0x802c3afa, (q31_t)0x69fb3c9, (q31_t)0x802be796, (q31_t)0x6996d70, (q31_t)0x802b9480,
+  (q31_t)0x6932713, (q31_t)0x802b41ba, (q31_t)0x68ce0b2, (q31_t)0x802aef42, (q31_t)0x6869a4c, (q31_t)0x802a9d19, (q31_t)0x68053e3, (q31_t)0x802a4b3f,
+  (q31_t)0x67a0d76, (q31_t)0x8029f9b4, (q31_t)0x673c704, (q31_t)0x8029a878, (q31_t)0x66d808f, (q31_t)0x8029578b, (q31_t)0x6673a16, (q31_t)0x802906ec,
+  (q31_t)0x660f398, (q31_t)0x8028b69c, (q31_t)0x65aad17, (q31_t)0x8028669b, (q31_t)0x6546692, (q31_t)0x802816e9, (q31_t)0x64e2009, (q31_t)0x8027c786,
+  (q31_t)0x647d97c, (q31_t)0x80277872, (q31_t)0x64192eb, (q31_t)0x802729ad, (q31_t)0x63b4c57, (q31_t)0x8026db36, (q31_t)0x63505be, (q31_t)0x80268d0e,
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+  (q31_t)0x615a48b, (q31_t)0x80250ae7, (q31_t)0x60f5ddc, (q31_t)0x8024be99, (q31_t)0x6091729, (q31_t)0x80247299, (q31_t)0x602d072, (q31_t)0x802426e8,
+  (q31_t)0x5fc89b8, (q31_t)0x8023db86, (q31_t)0x5f642fa, (q31_t)0x80239073, (q31_t)0x5effc38, (q31_t)0x802345af, (q31_t)0x5e9b572, (q31_t)0x8022fb3a,
+  (q31_t)0x5e36ea9, (q31_t)0x8022b114, (q31_t)0x5dd27dd, (q31_t)0x8022673c, (q31_t)0x5d6e10c, (q31_t)0x80221db3, (q31_t)0x5d09a38, (q31_t)0x8021d47a,
+  (q31_t)0x5ca5361, (q31_t)0x80218b8f, (q31_t)0x5c40c86, (q31_t)0x802142f3, (q31_t)0x5bdc5a7, (q31_t)0x8020faa6, (q31_t)0x5b77ec5, (q31_t)0x8020b2a7,
+  (q31_t)0x5b137df, (q31_t)0x80206af8, (q31_t)0x5aaf0f6, (q31_t)0x80202397, (q31_t)0x5a4aa09, (q31_t)0x801fdc86, (q31_t)0x59e6319, (q31_t)0x801f95c3,
+  (q31_t)0x5981c26, (q31_t)0x801f4f4f, (q31_t)0x591d52f, (q31_t)0x801f092a, (q31_t)0x58b8e34, (q31_t)0x801ec354, (q31_t)0x5854736, (q31_t)0x801e7dcd,
+  (q31_t)0x57f0035, (q31_t)0x801e3895, (q31_t)0x578b930, (q31_t)0x801df3ab, (q31_t)0x5727228, (q31_t)0x801daf11, (q31_t)0x56c2b1c, (q31_t)0x801d6ac5,
+  (q31_t)0x565e40d, (q31_t)0x801d26c8, (q31_t)0x55f9cfb, (q31_t)0x801ce31a, (q31_t)0x55955e6, (q31_t)0x801c9fbb, (q31_t)0x5530ecd, (q31_t)0x801c5cab,
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+  (q31_t)0x533ab20, (q31_t)0x801b11fa, (q31_t)0x52d63f4, (q31_t)0x801ad0c3, (q31_t)0x5271cc4, (q31_t)0x801a8fdb, (q31_t)0x520d592, (q31_t)0x801a4f42,
+  (q31_t)0x51a8e5c, (q31_t)0x801a0ef8, (q31_t)0x5144723, (q31_t)0x8019cefd, (q31_t)0x50dffe7, (q31_t)0x80198f50, (q31_t)0x507b8a8, (q31_t)0x80194ff3,
+  (q31_t)0x5017165, (q31_t)0x801910e4, (q31_t)0x4fb2a20, (q31_t)0x8018d225, (q31_t)0x4f4e2d8, (q31_t)0x801893b4, (q31_t)0x4ee9b8c, (q31_t)0x80185592,
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+  (q31_t)0x4cf36e5, (q31_t)0x80172388, (q31_t)0x4c8ef88, (q31_t)0x8016e740, (q31_t)0x4c2a827, (q31_t)0x8016ab46, (q31_t)0x4bc60c4, (q31_t)0x80166f9c,
+  (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x4afd1f4, (q31_t)0x8015f933, (q31_t)0x4a98a88, (q31_t)0x8015be75, (q31_t)0x4a34319, (q31_t)0x80158406,
+  (q31_t)0x49cfba7, (q31_t)0x801549e6, (q31_t)0x496b432, (q31_t)0x80151015, (q31_t)0x4906cbb, (q31_t)0x8014d693, (q31_t)0x48a2540, (q31_t)0x80149d5f,
+  (q31_t)0x483ddc3, (q31_t)0x8014647b, (q31_t)0x47d9643, (q31_t)0x80142be5, (q31_t)0x4774ec1, (q31_t)0x8013f39e, (q31_t)0x471073b, (q31_t)0x8013bba7,
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+  (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x44b59e1, (q31_t)0x80127251, (q31_t)0x4451249, (q31_t)0x80123c82, (q31_t)0x43ecaae, (q31_t)0x80120701,
+  (q31_t)0x4388310, (q31_t)0x8011d1d0, (q31_t)0x4323b70, (q31_t)0x80119ced, (q31_t)0x42bf3cd, (q31_t)0x80116859, (q31_t)0x425ac28, (q31_t)0x80113414,
+  (q31_t)0x41f6480, (q31_t)0x8011001f, (q31_t)0x4191cd5, (q31_t)0x8010cc78, (q31_t)0x412d528, (q31_t)0x8010991f, (q31_t)0x40c8d79, (q31_t)0x80106616,
+  (q31_t)0x40645c7, (q31_t)0x8010335c, (q31_t)0x3fffe12, (q31_t)0x801000f1, (q31_t)0x3f9b65b, (q31_t)0x800fced4, (q31_t)0x3f36ea2, (q31_t)0x800f9d07,
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+  (q31_t)0x3d407df, (q31_t)0x800ea8a3, (q31_t)0x3cdc017, (q31_t)0x800e78af, (q31_t)0x3c7784d, (q31_t)0x800e490a, (q31_t)0x3c13080, (q31_t)0x800e19b4,
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+  (q31_t)0x3a1c960, (q31_t)0x800d31a5, (q31_t)0x39b8185, (q31_t)0x800d0429, (q31_t)0x39539a9, (q31_t)0x800cd6fb, (q31_t)0x38ef1ca, (q31_t)0x800caa1c,
+  (q31_t)0x388a9ea, (q31_t)0x800c7d8c, (q31_t)0x3826207, (q31_t)0x800c514c, (q31_t)0x37c1a22, (q31_t)0x800c255a, (q31_t)0x375d23a, (q31_t)0x800bf9b7,
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+  (q31_t)0x33d4abb, (q31_t)0x800a7edb, (q31_t)0x33702bf, (q31_t)0x800a564e, (q31_t)0x330bac1, (q31_t)0x800a2e0f, (q31_t)0x32a72c1, (q31_t)0x800a061f,
+  (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x31de2bb, (q31_t)0x8009b72c, (q31_t)0x3179ab5, (q31_t)0x80099029, (q31_t)0x31152ae, (q31_t)0x80096975,
+  (q31_t)0x30b0aa4, (q31_t)0x80094310, (q31_t)0x304c299, (q31_t)0x80091cf9, (q31_t)0x2fe7a8c, (q31_t)0x8008f732, (q31_t)0x2f8327d, (q31_t)0x8008d1ba,
+  (q31_t)0x2f1ea6c, (q31_t)0x8008ac90, (q31_t)0x2eba259, (q31_t)0x800887b6, (q31_t)0x2e55a44, (q31_t)0x8008632a, (q31_t)0x2df122e, (q31_t)0x80083eed,
+  (q31_t)0x2d8ca16, (q31_t)0x80081b00, (q31_t)0x2d281fc, (q31_t)0x8007f761, (q31_t)0x2cc39e1, (q31_t)0x8007d411, (q31_t)0x2c5f1c3, (q31_t)0x8007b110,
+  (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x2b96184, (q31_t)0x80076bfb, (q31_t)0x2b31961, (q31_t)0x800749e7, (q31_t)0x2acd13d, (q31_t)0x80072822,
+  (q31_t)0x2a68917, (q31_t)0x800706ac, (q31_t)0x2a040f0, (q31_t)0x8006e585, (q31_t)0x299f8c7, (q31_t)0x8006c4ac, (q31_t)0x293b09c, (q31_t)0x8006a423,
+  (q31_t)0x28d6870, (q31_t)0x800683e8, (q31_t)0x2872043, (q31_t)0x800663fd, (q31_t)0x280d813, (q31_t)0x80064460, (q31_t)0x27a8fe2, (q31_t)0x80062513,
+  (q31_t)0x27447b0, (q31_t)0x80060614, (q31_t)0x26dff7c, (q31_t)0x8005e764, (q31_t)0x267b747, (q31_t)0x8005c904, (q31_t)0x2616f10, (q31_t)0x8005aaf2,
+  (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x254de9e, (q31_t)0x80056fbb, (q31_t)0x24e9662, (q31_t)0x80055296, (q31_t)0x2484e26, (q31_t)0x800535c0,
+  (q31_t)0x24205e8, (q31_t)0x80051939, (q31_t)0x23bbda8, (q31_t)0x8004fd00, (q31_t)0x2357567, (q31_t)0x8004e117, (q31_t)0x22f2d25, (q31_t)0x8004c57d,
+  (q31_t)0x228e4e2, (q31_t)0x8004aa32, (q31_t)0x2229c9d, (q31_t)0x80048f35, (q31_t)0x21c5457, (q31_t)0x80047488, (q31_t)0x2160c0f, (q31_t)0x80045a29,
+  (q31_t)0x20fc3c6, (q31_t)0x8004401a, (q31_t)0x2097b7c, (q31_t)0x80042659, (q31_t)0x2033331, (q31_t)0x80040ce7, (q31_t)0x1fceae4, (q31_t)0x8003f3c5,
+  (q31_t)0x1f6a297, (q31_t)0x8003daf1, (q31_t)0x1f05a48, (q31_t)0x8003c26c, (q31_t)0x1ea11f7, (q31_t)0x8003aa36, (q31_t)0x1e3c9a6, (q31_t)0x8003924f,
+  (q31_t)0x1dd8154, (q31_t)0x80037ab7, (q31_t)0x1d73900, (q31_t)0x8003636e, (q31_t)0x1d0f0ab, (q31_t)0x80034c74, (q31_t)0x1caa855, (q31_t)0x800335c9,
+  (q31_t)0x1c45ffe, (q31_t)0x80031f6d, (q31_t)0x1be17a6, (q31_t)0x80030960, (q31_t)0x1b7cf4d, (q31_t)0x8002f3a1, (q31_t)0x1b186f3, (q31_t)0x8002de32,
+  (q31_t)0x1ab3e97, (q31_t)0x8002c912, (q31_t)0x1a4f63b, (q31_t)0x8002b440, (q31_t)0x19eaddd, (q31_t)0x80029fbe, (q31_t)0x198657f, (q31_t)0x80028b8a,
+  (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x18bd4bf, (q31_t)0x80026410, (q31_t)0x1858c5e, (q31_t)0x800250c9, (q31_t)0x17f43fc, (q31_t)0x80023dd2,
+  (q31_t)0x178fb99, (q31_t)0x80022b29, (q31_t)0x172b335, (q31_t)0x800218cf, (q31_t)0x16c6ad0, (q31_t)0x800206c4, (q31_t)0x166226a, (q31_t)0x8001f508,
+  (q31_t)0x15fda03, (q31_t)0x8001e39b, (q31_t)0x159919c, (q31_t)0x8001d27d, (q31_t)0x1534934, (q31_t)0x8001c1ae, (q31_t)0x14d00ca, (q31_t)0x8001b12e,
+  (q31_t)0x146b860, (q31_t)0x8001a0fd, (q31_t)0x1406ff6, (q31_t)0x8001911b, (q31_t)0x13a278a, (q31_t)0x80018187, (q31_t)0x133df1e, (q31_t)0x80017243,
+  (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0x1274e43, (q31_t)0x800154a7, (q31_t)0x12105d5, (q31_t)0x80014650, (q31_t)0x11abd66, (q31_t)0x80013847,
+  (q31_t)0x11474f6, (q31_t)0x80012a8e, (q31_t)0x10e2c85, (q31_t)0x80011d23, (q31_t)0x107e414, (q31_t)0x80011008, (q31_t)0x1019ba2, (q31_t)0x8001033b,
+  (q31_t)0x0fb5330, (q31_t)0x8000f6bd, (q31_t)0x0f50abd, (q31_t)0x8000ea8e, (q31_t)0x0eec249, (q31_t)0x8000deaf, (q31_t)0x0e879d5, (q31_t)0x8000d31e,
+  (q31_t)0x0e23160, (q31_t)0x8000c7dc, (q31_t)0x0dbe8eb, (q31_t)0x8000bce9, (q31_t)0x0d5a075, (q31_t)0x8000b245, (q31_t)0x0cf57ff, (q31_t)0x8000a7f0,
+  (q31_t)0x0c90f88, (q31_t)0x80009dea, (q31_t)0x0c2c711, (q31_t)0x80009433, (q31_t)0x0bc7e99, (q31_t)0x80008aca, (q31_t)0x0b63621, (q31_t)0x800081b1,
+  (q31_t)0x0afeda8, (q31_t)0x800078e7, (q31_t)0x0a9a52f, (q31_t)0x8000706c, (q31_t)0x0a35cb5, (q31_t)0x8000683f, (q31_t)0x09d143b, (q31_t)0x80006062,
+  (q31_t)0x096cbc1, (q31_t)0x800058d4, (q31_t)0x0908346, (q31_t)0x80005194, (q31_t)0x08a3acb, (q31_t)0x80004aa4, (q31_t)0x083f250, (q31_t)0x80004402,
+  (q31_t)0x07da9d4, (q31_t)0x80003daf, (q31_t)0x0776159, (q31_t)0x800037ac, (q31_t)0x07118dc, (q31_t)0x800031f7, (q31_t)0x06ad060, (q31_t)0x80002c91,
+  (q31_t)0x06487e3, (q31_t)0x8000277a, (q31_t)0x05e3f66, (q31_t)0x800022b3, (q31_t)0x057f6e9, (q31_t)0x80001e3a, (q31_t)0x051ae6b, (q31_t)0x80001a10,
+  (q31_t)0x04b65ee, (q31_t)0x80001635, (q31_t)0x0451d70, (q31_t)0x800012a9, (q31_t)0x03ed4f2, (q31_t)0x80000f6c, (q31_t)0x0388c74, (q31_t)0x80000c7e,
+  (q31_t)0x03243f5, (q31_t)0x800009df, (q31_t)0x02bfb77, (q31_t)0x8000078e, (q31_t)0x025b2f8, (q31_t)0x8000058d, (q31_t)0x01f6a7a, (q31_t)0x800003db,
+  (q31_t)0x01921fb, (q31_t)0x80000278, (q31_t)0x012d97c, (q31_t)0x80000163, (q31_t)0x00c90fe, (q31_t)0x8000009e, (q31_t)0x006487f, (q31_t)0x80000027
+};
+    const q31_t cos_factorsQ31_8192[8192] = {
+  (q31_t)0x7ffffff6, (q31_t)0x7fffffa7, (q31_t)0x7fffff09, (q31_t)0x7ffffe1c, (q31_t)0x7ffffce1, (q31_t)0x7ffffb56, (q31_t)0x7ffff97c, (q31_t)0x7ffff753,
+  (q31_t)0x7ffff4dc, (q31_t)0x7ffff215, (q31_t)0x7fffef00, (q31_t)0x7fffeb9b, (q31_t)0x7fffe7e8, (q31_t)0x7fffe3e5, (q31_t)0x7fffdf94, (q31_t)0x7fffdaf3,
+  (q31_t)0x7fffd604, (q31_t)0x7fffd0c6, (q31_t)0x7fffcb39, (q31_t)0x7fffc55c, (q31_t)0x7fffbf31, (q31_t)0x7fffb8b7, (q31_t)0x7fffb1ee, (q31_t)0x7fffaad6,
+  (q31_t)0x7fffa36f, (q31_t)0x7fff9bb9, (q31_t)0x7fff93b4, (q31_t)0x7fff8b61, (q31_t)0x7fff82be, (q31_t)0x7fff79cc, (q31_t)0x7fff708b, (q31_t)0x7fff66fc,
+  (q31_t)0x7fff5d1d, (q31_t)0x7fff52ef, (q31_t)0x7fff4873, (q31_t)0x7fff3da8, (q31_t)0x7fff328d, (q31_t)0x7fff2724, (q31_t)0x7fff1b6b, (q31_t)0x7fff0f64,
+  (q31_t)0x7fff030e, (q31_t)0x7ffef669, (q31_t)0x7ffee975, (q31_t)0x7ffedc31, (q31_t)0x7ffece9f, (q31_t)0x7ffec0be, (q31_t)0x7ffeb28e, (q31_t)0x7ffea40f,
+  (q31_t)0x7ffe9542, (q31_t)0x7ffe8625, (q31_t)0x7ffe76b9, (q31_t)0x7ffe66fe, (q31_t)0x7ffe56f5, (q31_t)0x7ffe469c, (q31_t)0x7ffe35f4, (q31_t)0x7ffe24fe,
+  (q31_t)0x7ffe13b8, (q31_t)0x7ffe0224, (q31_t)0x7ffdf040, (q31_t)0x7ffdde0e, (q31_t)0x7ffdcb8d, (q31_t)0x7ffdb8bc, (q31_t)0x7ffda59d, (q31_t)0x7ffd922f,
+  (q31_t)0x7ffd7e72, (q31_t)0x7ffd6a66, (q31_t)0x7ffd560b, (q31_t)0x7ffd4161, (q31_t)0x7ffd2c68, (q31_t)0x7ffd1720, (q31_t)0x7ffd0189, (q31_t)0x7ffceba4,
+  (q31_t)0x7ffcd56f, (q31_t)0x7ffcbeeb, (q31_t)0x7ffca819, (q31_t)0x7ffc90f7, (q31_t)0x7ffc7987, (q31_t)0x7ffc61c7, (q31_t)0x7ffc49b9, (q31_t)0x7ffc315b,
+  (q31_t)0x7ffc18af, (q31_t)0x7ffbffb4, (q31_t)0x7ffbe66a, (q31_t)0x7ffbccd0, (q31_t)0x7ffbb2e8, (q31_t)0x7ffb98b1, (q31_t)0x7ffb7e2b, (q31_t)0x7ffb6356,
+  (q31_t)0x7ffb4833, (q31_t)0x7ffb2cc0, (q31_t)0x7ffb10fe, (q31_t)0x7ffaf4ed, (q31_t)0x7ffad88e, (q31_t)0x7ffabbdf, (q31_t)0x7ffa9ee2, (q31_t)0x7ffa8195,
+  (q31_t)0x7ffa63fa, (q31_t)0x7ffa460f, (q31_t)0x7ffa27d6, (q31_t)0x7ffa094e, (q31_t)0x7ff9ea76, (q31_t)0x7ff9cb50, (q31_t)0x7ff9abdb, (q31_t)0x7ff98c17,
+  (q31_t)0x7ff96c04, (q31_t)0x7ff94ba2, (q31_t)0x7ff92af1, (q31_t)0x7ff909f2, (q31_t)0x7ff8e8a3, (q31_t)0x7ff8c705, (q31_t)0x7ff8a519, (q31_t)0x7ff882dd,
+  (q31_t)0x7ff86053, (q31_t)0x7ff83d79, (q31_t)0x7ff81a51, (q31_t)0x7ff7f6da, (q31_t)0x7ff7d313, (q31_t)0x7ff7aefe, (q31_t)0x7ff78a9a, (q31_t)0x7ff765e7,
+  (q31_t)0x7ff740e5, (q31_t)0x7ff71b94, (q31_t)0x7ff6f5f4, (q31_t)0x7ff6d005, (q31_t)0x7ff6a9c8, (q31_t)0x7ff6833b, (q31_t)0x7ff65c5f, (q31_t)0x7ff63535,
+  (q31_t)0x7ff60dbb, (q31_t)0x7ff5e5f3, (q31_t)0x7ff5bddc, (q31_t)0x7ff59576, (q31_t)0x7ff56cc0, (q31_t)0x7ff543bc, (q31_t)0x7ff51a69, (q31_t)0x7ff4f0c7,
+  (q31_t)0x7ff4c6d6, (q31_t)0x7ff49c96, (q31_t)0x7ff47208, (q31_t)0x7ff4472a, (q31_t)0x7ff41bfd, (q31_t)0x7ff3f082, (q31_t)0x7ff3c4b7, (q31_t)0x7ff3989e,
+  (q31_t)0x7ff36c36, (q31_t)0x7ff33f7e, (q31_t)0x7ff31278, (q31_t)0x7ff2e523, (q31_t)0x7ff2b77f, (q31_t)0x7ff2898c, (q31_t)0x7ff25b4a, (q31_t)0x7ff22cb9,
+  (q31_t)0x7ff1fdd9, (q31_t)0x7ff1ceab, (q31_t)0x7ff19f2d, (q31_t)0x7ff16f61, (q31_t)0x7ff13f45, (q31_t)0x7ff10edb, (q31_t)0x7ff0de22, (q31_t)0x7ff0ad19,
+  (q31_t)0x7ff07bc2, (q31_t)0x7ff04a1c, (q31_t)0x7ff01827, (q31_t)0x7fefe5e4, (q31_t)0x7fefb351, (q31_t)0x7fef806f, (q31_t)0x7fef4d3e, (q31_t)0x7fef19bf,
+  (q31_t)0x7feee5f0, (q31_t)0x7feeb1d3, (q31_t)0x7fee7d67, (q31_t)0x7fee48ac, (q31_t)0x7fee13a1, (q31_t)0x7fedde48, (q31_t)0x7feda8a0, (q31_t)0x7fed72aa,
+  (q31_t)0x7fed3c64, (q31_t)0x7fed05cf, (q31_t)0x7fecceec, (q31_t)0x7fec97b9, (q31_t)0x7fec6038, (q31_t)0x7fec2867, (q31_t)0x7febf048, (q31_t)0x7febb7da,
+  (q31_t)0x7feb7f1d, (q31_t)0x7feb4611, (q31_t)0x7feb0cb6, (q31_t)0x7fead30c, (q31_t)0x7fea9914, (q31_t)0x7fea5ecc, (q31_t)0x7fea2436, (q31_t)0x7fe9e950,
+  (q31_t)0x7fe9ae1c, (q31_t)0x7fe97299, (q31_t)0x7fe936c7, (q31_t)0x7fe8faa6, (q31_t)0x7fe8be36, (q31_t)0x7fe88177, (q31_t)0x7fe84469, (q31_t)0x7fe8070d,
+  (q31_t)0x7fe7c961, (q31_t)0x7fe78b67, (q31_t)0x7fe74d1e, (q31_t)0x7fe70e85, (q31_t)0x7fe6cf9e, (q31_t)0x7fe69068, (q31_t)0x7fe650e3, (q31_t)0x7fe61110,
+  (q31_t)0x7fe5d0ed, (q31_t)0x7fe5907b, (q31_t)0x7fe54fbb, (q31_t)0x7fe50eac, (q31_t)0x7fe4cd4d, (q31_t)0x7fe48ba0, (q31_t)0x7fe449a4, (q31_t)0x7fe40759,
+  (q31_t)0x7fe3c4bf, (q31_t)0x7fe381d7, (q31_t)0x7fe33e9f, (q31_t)0x7fe2fb19, (q31_t)0x7fe2b743, (q31_t)0x7fe2731f, (q31_t)0x7fe22eac, (q31_t)0x7fe1e9ea,
+  (q31_t)0x7fe1a4d9, (q31_t)0x7fe15f79, (q31_t)0x7fe119cb, (q31_t)0x7fe0d3cd, (q31_t)0x7fe08d81, (q31_t)0x7fe046e5, (q31_t)0x7fdffffb, (q31_t)0x7fdfb8c2,
+  (q31_t)0x7fdf713a, (q31_t)0x7fdf2963, (q31_t)0x7fdee13e, (q31_t)0x7fde98c9, (q31_t)0x7fde5006, (q31_t)0x7fde06f3, (q31_t)0x7fddbd92, (q31_t)0x7fdd73e2,
+  (q31_t)0x7fdd29e3, (q31_t)0x7fdcdf95, (q31_t)0x7fdc94f9, (q31_t)0x7fdc4a0d, (q31_t)0x7fdbfed3, (q31_t)0x7fdbb349, (q31_t)0x7fdb6771, (q31_t)0x7fdb1b4a,
+  (q31_t)0x7fdaced4, (q31_t)0x7fda820f, (q31_t)0x7fda34fc, (q31_t)0x7fd9e799, (q31_t)0x7fd999e8, (q31_t)0x7fd94be8, (q31_t)0x7fd8fd98, (q31_t)0x7fd8aefa,
+  (q31_t)0x7fd8600e, (q31_t)0x7fd810d2, (q31_t)0x7fd7c147, (q31_t)0x7fd7716e, (q31_t)0x7fd72146, (q31_t)0x7fd6d0cf, (q31_t)0x7fd68009, (q31_t)0x7fd62ef4,
+  (q31_t)0x7fd5dd90, (q31_t)0x7fd58bdd, (q31_t)0x7fd539dc, (q31_t)0x7fd4e78c, (q31_t)0x7fd494ed, (q31_t)0x7fd441ff, (q31_t)0x7fd3eec2, (q31_t)0x7fd39b36,
+  (q31_t)0x7fd3475c, (q31_t)0x7fd2f332, (q31_t)0x7fd29eba, (q31_t)0x7fd249f3, (q31_t)0x7fd1f4dd, (q31_t)0x7fd19f78, (q31_t)0x7fd149c5, (q31_t)0x7fd0f3c2,
+  (q31_t)0x7fd09d71, (q31_t)0x7fd046d1, (q31_t)0x7fcfefe2, (q31_t)0x7fcf98a4, (q31_t)0x7fcf4117, (q31_t)0x7fcee93c, (q31_t)0x7fce9112, (q31_t)0x7fce3898,
+  (q31_t)0x7fcddfd0, (q31_t)0x7fcd86b9, (q31_t)0x7fcd2d54, (q31_t)0x7fccd39f, (q31_t)0x7fcc799c, (q31_t)0x7fcc1f4a, (q31_t)0x7fcbc4a9, (q31_t)0x7fcb69b9,
+  (q31_t)0x7fcb0e7a, (q31_t)0x7fcab2ed, (q31_t)0x7fca5710, (q31_t)0x7fc9fae5, (q31_t)0x7fc99e6b, (q31_t)0x7fc941a2, (q31_t)0x7fc8e48b, (q31_t)0x7fc88724,
+  (q31_t)0x7fc8296f, (q31_t)0x7fc7cb6b, (q31_t)0x7fc76d18, (q31_t)0x7fc70e76, (q31_t)0x7fc6af86, (q31_t)0x7fc65046, (q31_t)0x7fc5f0b8, (q31_t)0x7fc590db,
+  (q31_t)0x7fc530af, (q31_t)0x7fc4d035, (q31_t)0x7fc46f6b, (q31_t)0x7fc40e53, (q31_t)0x7fc3acec, (q31_t)0x7fc34b36, (q31_t)0x7fc2e931, (q31_t)0x7fc286de,
+  (q31_t)0x7fc2243b, (q31_t)0x7fc1c14a, (q31_t)0x7fc15e0a, (q31_t)0x7fc0fa7b, (q31_t)0x7fc0969e, (q31_t)0x7fc03271, (q31_t)0x7fbfcdf6, (q31_t)0x7fbf692c,
+  (q31_t)0x7fbf0414, (q31_t)0x7fbe9eac, (q31_t)0x7fbe38f6, (q31_t)0x7fbdd2f0, (q31_t)0x7fbd6c9c, (q31_t)0x7fbd05fa, (q31_t)0x7fbc9f08, (q31_t)0x7fbc37c8,
+  (q31_t)0x7fbbd039, (q31_t)0x7fbb685b, (q31_t)0x7fbb002e, (q31_t)0x7fba97b2, (q31_t)0x7fba2ee8, (q31_t)0x7fb9c5cf, (q31_t)0x7fb95c67, (q31_t)0x7fb8f2b0,
+  (q31_t)0x7fb888ab, (q31_t)0x7fb81e57, (q31_t)0x7fb7b3b4, (q31_t)0x7fb748c2, (q31_t)0x7fb6dd81, (q31_t)0x7fb671f2, (q31_t)0x7fb60614, (q31_t)0x7fb599e7,
+  (q31_t)0x7fb52d6b, (q31_t)0x7fb4c0a1, (q31_t)0x7fb45387, (q31_t)0x7fb3e61f, (q31_t)0x7fb37869, (q31_t)0x7fb30a63, (q31_t)0x7fb29c0f, (q31_t)0x7fb22d6c,
+  (q31_t)0x7fb1be7a, (q31_t)0x7fb14f39, (q31_t)0x7fb0dfaa, (q31_t)0x7fb06fcb, (q31_t)0x7fafff9e, (q31_t)0x7faf8f23, (q31_t)0x7faf1e58, (q31_t)0x7faead3f,
+  (q31_t)0x7fae3bd7, (q31_t)0x7fadca20, (q31_t)0x7fad581b, (q31_t)0x7face5c6, (q31_t)0x7fac7323, (q31_t)0x7fac0031, (q31_t)0x7fab8cf1, (q31_t)0x7fab1962,
+  (q31_t)0x7faaa584, (q31_t)0x7faa3157, (q31_t)0x7fa9bcdb, (q31_t)0x7fa94811, (q31_t)0x7fa8d2f8, (q31_t)0x7fa85d90, (q31_t)0x7fa7e7d9, (q31_t)0x7fa771d4,
+  (q31_t)0x7fa6fb80, (q31_t)0x7fa684dd, (q31_t)0x7fa60dec, (q31_t)0x7fa596ac, (q31_t)0x7fa51f1d, (q31_t)0x7fa4a73f, (q31_t)0x7fa42f12, (q31_t)0x7fa3b697,
+  (q31_t)0x7fa33dcd, (q31_t)0x7fa2c4b5, (q31_t)0x7fa24b4d, (q31_t)0x7fa1d197, (q31_t)0x7fa15792, (q31_t)0x7fa0dd3f, (q31_t)0x7fa0629c, (q31_t)0x7f9fe7ab,
+  (q31_t)0x7f9f6c6b, (q31_t)0x7f9ef0dd, (q31_t)0x7f9e7500, (q31_t)0x7f9df8d4, (q31_t)0x7f9d7c59, (q31_t)0x7f9cff90, (q31_t)0x7f9c8278, (q31_t)0x7f9c0511,
+  (q31_t)0x7f9b875b, (q31_t)0x7f9b0957, (q31_t)0x7f9a8b04, (q31_t)0x7f9a0c62, (q31_t)0x7f998d72, (q31_t)0x7f990e33, (q31_t)0x7f988ea5, (q31_t)0x7f980ec8,
+  (q31_t)0x7f978e9d, (q31_t)0x7f970e23, (q31_t)0x7f968d5b, (q31_t)0x7f960c43, (q31_t)0x7f958add, (q31_t)0x7f950929, (q31_t)0x7f948725, (q31_t)0x7f9404d3,
+  (q31_t)0x7f938232, (q31_t)0x7f92ff43, (q31_t)0x7f927c04, (q31_t)0x7f91f878, (q31_t)0x7f91749c, (q31_t)0x7f90f072, (q31_t)0x7f906bf9, (q31_t)0x7f8fe731,
+  (q31_t)0x7f8f621b, (q31_t)0x7f8edcb6, (q31_t)0x7f8e5702, (q31_t)0x7f8dd0ff, (q31_t)0x7f8d4aae, (q31_t)0x7f8cc40f, (q31_t)0x7f8c3d20, (q31_t)0x7f8bb5e3,
+  (q31_t)0x7f8b2e57, (q31_t)0x7f8aa67d, (q31_t)0x7f8a1e54, (q31_t)0x7f8995dc, (q31_t)0x7f890d15, (q31_t)0x7f888400, (q31_t)0x7f87fa9c, (q31_t)0x7f8770ea,
+  (q31_t)0x7f86e6e9, (q31_t)0x7f865c99, (q31_t)0x7f85d1fa, (q31_t)0x7f85470d, (q31_t)0x7f84bbd1, (q31_t)0x7f843047, (q31_t)0x7f83a46e, (q31_t)0x7f831846,
+  (q31_t)0x7f828bcf, (q31_t)0x7f81ff0a, (q31_t)0x7f8171f6, (q31_t)0x7f80e494, (q31_t)0x7f8056e3, (q31_t)0x7f7fc8e3, (q31_t)0x7f7f3a95, (q31_t)0x7f7eabf8,
+  (q31_t)0x7f7e1d0c, (q31_t)0x7f7d8dd2, (q31_t)0x7f7cfe49, (q31_t)0x7f7c6e71, (q31_t)0x7f7bde4b, (q31_t)0x7f7b4dd6, (q31_t)0x7f7abd13, (q31_t)0x7f7a2c01,
+  (q31_t)0x7f799aa0, (q31_t)0x7f7908f0, (q31_t)0x7f7876f2, (q31_t)0x7f77e4a6, (q31_t)0x7f77520a, (q31_t)0x7f76bf21, (q31_t)0x7f762be8, (q31_t)0x7f759861,
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+  (q31_t)0x7f4849a9, (q31_t)0x7f479f6c, (q31_t)0x7f46f4e0, (q31_t)0x7f464a06, (q31_t)0x7f459edd, (q31_t)0x7f44f365, (q31_t)0x7f44479f, (q31_t)0x7f439b8b,
+  (q31_t)0x7f42ef28, (q31_t)0x7f424277, (q31_t)0x7f419577, (q31_t)0x7f40e828, (q31_t)0x7f403a8b, (q31_t)0x7f3f8ca0, (q31_t)0x7f3ede66, (q31_t)0x7f3e2fde,
+  (q31_t)0x7f3d8107, (q31_t)0x7f3cd1e2, (q31_t)0x7f3c226e, (q31_t)0x7f3b72ab, (q31_t)0x7f3ac29b, (q31_t)0x7f3a123b, (q31_t)0x7f39618e, (q31_t)0x7f38b091,
+  (q31_t)0x7f37ff47, (q31_t)0x7f374dad, (q31_t)0x7f369bc6, (q31_t)0x7f35e990, (q31_t)0x7f35370b, (q31_t)0x7f348438, (q31_t)0x7f33d116, (q31_t)0x7f331da6,
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+  (q31_t)0x7f2cc0eb, (q31_t)0x7f2c0a6b, (q31_t)0x7f2b539c, (q31_t)0x7f2a9c7e, (q31_t)0x7f29e512, (q31_t)0x7f292d58, (q31_t)0x7f28754f, (q31_t)0x7f27bcf8,
+  (q31_t)0x7f270452, (q31_t)0x7f264b5e, (q31_t)0x7f25921c, (q31_t)0x7f24d88b, (q31_t)0x7f241eab, (q31_t)0x7f23647e, (q31_t)0x7f22aa01, (q31_t)0x7f21ef37,
+  (q31_t)0x7f21341e, (q31_t)0x7f2078b6, (q31_t)0x7f1fbd00, (q31_t)0x7f1f00fc, (q31_t)0x7f1e44a9, (q31_t)0x7f1d8808, (q31_t)0x7f1ccb18, (q31_t)0x7f1c0dda,
+  (q31_t)0x7f1b504e, (q31_t)0x7f1a9273, (q31_t)0x7f19d44a, (q31_t)0x7f1915d2, (q31_t)0x7f18570c, (q31_t)0x7f1797f8, (q31_t)0x7f16d895, (q31_t)0x7f1618e4,
+  (q31_t)0x7f1558e4, (q31_t)0x7f149896, (q31_t)0x7f13d7fa, (q31_t)0x7f13170f, (q31_t)0x7f1255d6, (q31_t)0x7f11944f, (q31_t)0x7f10d279, (q31_t)0x7f101054,
+  (q31_t)0x7f0f4de2, (q31_t)0x7f0e8b21, (q31_t)0x7f0dc811, (q31_t)0x7f0d04b3, (q31_t)0x7f0c4107, (q31_t)0x7f0b7d0d, (q31_t)0x7f0ab8c4, (q31_t)0x7f09f42d,
+  (q31_t)0x7f092f47, (q31_t)0x7f086a13, (q31_t)0x7f07a491, (q31_t)0x7f06dec0, (q31_t)0x7f0618a1, (q31_t)0x7f055233, (q31_t)0x7f048b78, (q31_t)0x7f03c46d,
+  (q31_t)0x7f02fd15, (q31_t)0x7f02356e, (q31_t)0x7f016d79, (q31_t)0x7f00a535, (q31_t)0x7effdca4, (q31_t)0x7eff13c3, (q31_t)0x7efe4a95, (q31_t)0x7efd8118,
+  (q31_t)0x7efcb74d, (q31_t)0x7efbed33, (q31_t)0x7efb22cb, (q31_t)0x7efa5815, (q31_t)0x7ef98d11, (q31_t)0x7ef8c1be, (q31_t)0x7ef7f61d, (q31_t)0x7ef72a2d,
+  (q31_t)0x7ef65def, (q31_t)0x7ef59163, (q31_t)0x7ef4c489, (q31_t)0x7ef3f760, (q31_t)0x7ef329e9, (q31_t)0x7ef25c24, (q31_t)0x7ef18e10, (q31_t)0x7ef0bfae,
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+  (q31_t)0x7ee97079, (q31_t)0x7ee89f08, (q31_t)0x7ee7cd49, (q31_t)0x7ee6fb3b, (q31_t)0x7ee628df, (q31_t)0x7ee55635, (q31_t)0x7ee4833d, (q31_t)0x7ee3aff6,
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+  (q31_t)0x7edc34b9, (q31_t)0x7edb5e64, (q31_t)0x7eda87c0, (q31_t)0x7ed9b0ce, (q31_t)0x7ed8d98e, (q31_t)0x7ed80200, (q31_t)0x7ed72a24, (q31_t)0x7ed651f9,
+  (q31_t)0x7ed57980, (q31_t)0x7ed4a0b9, (q31_t)0x7ed3c7a3, (q31_t)0x7ed2ee40, (q31_t)0x7ed2148e, (q31_t)0x7ed13a8e, (q31_t)0x7ed0603f, (q31_t)0x7ecf85a3,
+  (q31_t)0x7eceaab8, (q31_t)0x7ecdcf7f, (q31_t)0x7eccf3f8, (q31_t)0x7ecc1822, (q31_t)0x7ecb3bff, (q31_t)0x7eca5f8d, (q31_t)0x7ec982cd, (q31_t)0x7ec8a5bf,
+  (q31_t)0x7ec7c862, (q31_t)0x7ec6eab7, (q31_t)0x7ec60cbe, (q31_t)0x7ec52e77, (q31_t)0x7ec44fe2, (q31_t)0x7ec370fe, (q31_t)0x7ec291cd, (q31_t)0x7ec1b24d,
+  (q31_t)0x7ec0d27f, (q31_t)0x7ebff263, (q31_t)0x7ebf11f8, (q31_t)0x7ebe313f, (q31_t)0x7ebd5039, (q31_t)0x7ebc6ee4, (q31_t)0x7ebb8d40, (q31_t)0x7ebaab4f,
+  (q31_t)0x7eb9c910, (q31_t)0x7eb8e682, (q31_t)0x7eb803a6, (q31_t)0x7eb7207c, (q31_t)0x7eb63d04, (q31_t)0x7eb5593d, (q31_t)0x7eb47529, (q31_t)0x7eb390c6,
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+  (q31_t)0x7eab7b91, (q31_t)0x7eaa9421, (q31_t)0x7ea9ac63, (q31_t)0x7ea8c457, (q31_t)0x7ea7dbfc, (q31_t)0x7ea6f353, (q31_t)0x7ea60a5d, (q31_t)0x7ea52118,
+  (q31_t)0x7ea43785, (q31_t)0x7ea34da4, (q31_t)0x7ea26374, (q31_t)0x7ea178f7, (q31_t)0x7ea08e2b, (q31_t)0x7e9fa312, (q31_t)0x7e9eb7aa, (q31_t)0x7e9dcbf4,
+  (q31_t)0x7e9cdff0, (q31_t)0x7e9bf39e, (q31_t)0x7e9b06fe, (q31_t)0x7e9a1a10, (q31_t)0x7e992cd4, (q31_t)0x7e983f49, (q31_t)0x7e975171, (q31_t)0x7e96634a,
+  (q31_t)0x7e9574d6, (q31_t)0x7e948613, (q31_t)0x7e939702, (q31_t)0x7e92a7a3, (q31_t)0x7e91b7f6, (q31_t)0x7e90c7fb, (q31_t)0x7e8fd7b2, (q31_t)0x7e8ee71b,
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+  (q31_t)0x7e866411, (q31_t)0x7e85706d, (q31_t)0x7e847c7c, (q31_t)0x7e83883c, (q31_t)0x7e8293ae, (q31_t)0x7e819ed2, (q31_t)0x7e80a9a8, (q31_t)0x7e7fb430,
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+  (q31_t)0x7e770541, (q31_t)0x7e760cbd, (q31_t)0x7e7513ea, (q31_t)0x7e741aca, (q31_t)0x7e73215c, (q31_t)0x7e7227a0, (q31_t)0x7e712d96, (q31_t)0x7e70333d,
+  (q31_t)0x7e6f3897, (q31_t)0x7e6e3da3, (q31_t)0x7e6d4261, (q31_t)0x7e6c46d1, (q31_t)0x7e6b4af2, (q31_t)0x7e6a4ec6, (q31_t)0x7e69524c, (q31_t)0x7e685584,
+  (q31_t)0x7e67586e, (q31_t)0x7e665b0a, (q31_t)0x7e655d58, (q31_t)0x7e645f58, (q31_t)0x7e63610a, (q31_t)0x7e62626e, (q31_t)0x7e616384, (q31_t)0x7e60644c,
+  (q31_t)0x7e5f64c7, (q31_t)0x7e5e64f3, (q31_t)0x7e5d64d1, (q31_t)0x7e5c6461, (q31_t)0x7e5b63a4, (q31_t)0x7e5a6298, (q31_t)0x7e59613f, (q31_t)0x7e585f97,
+  (q31_t)0x7e575da2, (q31_t)0x7e565b5f, (q31_t)0x7e5558ce, (q31_t)0x7e5455ef, (q31_t)0x7e5352c1, (q31_t)0x7e524f46, (q31_t)0x7e514b7e, (q31_t)0x7e504767,
+  (q31_t)0x7e4f4302, (q31_t)0x7e4e3e4f, (q31_t)0x7e4d394f, (q31_t)0x7e4c3400, (q31_t)0x7e4b2e64, (q31_t)0x7e4a287a, (q31_t)0x7e492241, (q31_t)0x7e481bbb,
+  (q31_t)0x7e4714e7, (q31_t)0x7e460dc5, (q31_t)0x7e450656, (q31_t)0x7e43fe98, (q31_t)0x7e42f68c, (q31_t)0x7e41ee33, (q31_t)0x7e40e58c, (q31_t)0x7e3fdc97,
+  (q31_t)0x7e3ed353, (q31_t)0x7e3dc9c3, (q31_t)0x7e3cbfe4, (q31_t)0x7e3bb5b7, (q31_t)0x7e3aab3c, (q31_t)0x7e39a074, (q31_t)0x7e38955e, (q31_t)0x7e3789fa,
+  (q31_t)0x7e367e48, (q31_t)0x7e357248, (q31_t)0x7e3465fa, (q31_t)0x7e33595e, (q31_t)0x7e324c75, (q31_t)0x7e313f3e, (q31_t)0x7e3031b9, (q31_t)0x7e2f23e6,
+  (q31_t)0x7e2e15c5, (q31_t)0x7e2d0756, (q31_t)0x7e2bf89a, (q31_t)0x7e2ae990, (q31_t)0x7e29da38, (q31_t)0x7e28ca92, (q31_t)0x7e27ba9e, (q31_t)0x7e26aa5d,
+  (q31_t)0x7e2599cd, (q31_t)0x7e2488f0, (q31_t)0x7e2377c5, (q31_t)0x7e22664c, (q31_t)0x7e215486, (q31_t)0x7e204271, (q31_t)0x7e1f300f, (q31_t)0x7e1e1d5f,
+  (q31_t)0x7e1d0a61, (q31_t)0x7e1bf716, (q31_t)0x7e1ae37c, (q31_t)0x7e19cf95, (q31_t)0x7e18bb60, (q31_t)0x7e17a6dd, (q31_t)0x7e16920d, (q31_t)0x7e157cee,
+  (q31_t)0x7e146782, (q31_t)0x7e1351c9, (q31_t)0x7e123bc1, (q31_t)0x7e11256c, (q31_t)0x7e100ec8, (q31_t)0x7e0ef7d7, (q31_t)0x7e0de099, (q31_t)0x7e0cc90c,
+  (q31_t)0x7e0bb132, (q31_t)0x7e0a990a, (q31_t)0x7e098095, (q31_t)0x7e0867d1, (q31_t)0x7e074ec0, (q31_t)0x7e063561, (q31_t)0x7e051bb4, (q31_t)0x7e0401ba,
+  (q31_t)0x7e02e772, (q31_t)0x7e01ccdc, (q31_t)0x7e00b1f9, (q31_t)0x7dff96c7, (q31_t)0x7dfe7b48, (q31_t)0x7dfd5f7b, (q31_t)0x7dfc4361, (q31_t)0x7dfb26f9,
+  (q31_t)0x7dfa0a43, (q31_t)0x7df8ed3f, (q31_t)0x7df7cfee, (q31_t)0x7df6b24f, (q31_t)0x7df59462, (q31_t)0x7df47628, (q31_t)0x7df357a0, (q31_t)0x7df238ca,
+  (q31_t)0x7df119a7, (q31_t)0x7deffa35, (q31_t)0x7deeda77, (q31_t)0x7dedba6a, (q31_t)0x7dec9a10, (q31_t)0x7deb7968, (q31_t)0x7dea5872, (q31_t)0x7de9372f,
+  (q31_t)0x7de8159e, (q31_t)0x7de6f3c0, (q31_t)0x7de5d193, (q31_t)0x7de4af1a, (q31_t)0x7de38c52, (q31_t)0x7de2693d, (q31_t)0x7de145da, (q31_t)0x7de02229,
+  (q31_t)0x7ddefe2b, (q31_t)0x7dddd9e0, (q31_t)0x7ddcb546, (q31_t)0x7ddb905f, (q31_t)0x7dda6b2a, (q31_t)0x7dd945a8, (q31_t)0x7dd81fd8, (q31_t)0x7dd6f9ba,
+  (q31_t)0x7dd5d34f, (q31_t)0x7dd4ac96, (q31_t)0x7dd38590, (q31_t)0x7dd25e3c, (q31_t)0x7dd1369a, (q31_t)0x7dd00eab, (q31_t)0x7dcee66e, (q31_t)0x7dcdbde3,
+  (q31_t)0x7dcc950b, (q31_t)0x7dcb6be6, (q31_t)0x7dca4272, (q31_t)0x7dc918b1, (q31_t)0x7dc7eea3, (q31_t)0x7dc6c447, (q31_t)0x7dc5999d, (q31_t)0x7dc46ea6,
+  (q31_t)0x7dc34361, (q31_t)0x7dc217cf, (q31_t)0x7dc0ebef, (q31_t)0x7dbfbfc1, (q31_t)0x7dbe9346, (q31_t)0x7dbd667d, (q31_t)0x7dbc3967, (q31_t)0x7dbb0c03,
+  (q31_t)0x7db9de52, (q31_t)0x7db8b053, (q31_t)0x7db78207, (q31_t)0x7db6536d, (q31_t)0x7db52485, (q31_t)0x7db3f550, (q31_t)0x7db2c5cd, (q31_t)0x7db195fd,
+  (q31_t)0x7db065df, (q31_t)0x7daf3574, (q31_t)0x7dae04bb, (q31_t)0x7dacd3b5, (q31_t)0x7daba261, (q31_t)0x7daa70c0, (q31_t)0x7da93ed1, (q31_t)0x7da80c95,
+  (q31_t)0x7da6da0b, (q31_t)0x7da5a733, (q31_t)0x7da4740e, (q31_t)0x7da3409c, (q31_t)0x7da20cdc, (q31_t)0x7da0d8cf, (q31_t)0x7d9fa474, (q31_t)0x7d9e6fcb,
+  (q31_t)0x7d9d3ad6, (q31_t)0x7d9c0592, (q31_t)0x7d9ad001, (q31_t)0x7d999a23, (q31_t)0x7d9863f7, (q31_t)0x7d972d7e, (q31_t)0x7d95f6b7, (q31_t)0x7d94bfa3,
+  (q31_t)0x7d938841, (q31_t)0x7d925092, (q31_t)0x7d911896, (q31_t)0x7d8fe04c, (q31_t)0x7d8ea7b4, (q31_t)0x7d8d6ecf, (q31_t)0x7d8c359d, (q31_t)0x7d8afc1d,
+  (q31_t)0x7d89c250, (q31_t)0x7d888835, (q31_t)0x7d874dcd, (q31_t)0x7d861317, (q31_t)0x7d84d814, (q31_t)0x7d839cc4, (q31_t)0x7d826126, (q31_t)0x7d81253a,
+  (q31_t)0x7d7fe902, (q31_t)0x7d7eac7c, (q31_t)0x7d7d6fa8, (q31_t)0x7d7c3287, (q31_t)0x7d7af519, (q31_t)0x7d79b75d, (q31_t)0x7d787954, (q31_t)0x7d773afd,
+  (q31_t)0x7d75fc59, (q31_t)0x7d74bd68, (q31_t)0x7d737e29, (q31_t)0x7d723e9d, (q31_t)0x7d70fec4, (q31_t)0x7d6fbe9d, (q31_t)0x7d6e7e29, (q31_t)0x7d6d3d67,
+  (q31_t)0x7d6bfc58, (q31_t)0x7d6abafc, (q31_t)0x7d697952, (q31_t)0x7d68375b, (q31_t)0x7d66f517, (q31_t)0x7d65b285, (q31_t)0x7d646fa6, (q31_t)0x7d632c79,
+  (q31_t)0x7d61e8ff, (q31_t)0x7d60a538, (q31_t)0x7d5f6124, (q31_t)0x7d5e1cc2, (q31_t)0x7d5cd813, (q31_t)0x7d5b9316, (q31_t)0x7d5a4dcc, (q31_t)0x7d590835,
+  (q31_t)0x7d57c251, (q31_t)0x7d567c1f, (q31_t)0x7d5535a0, (q31_t)0x7d53eed3, (q31_t)0x7d52a7ba, (q31_t)0x7d516053, (q31_t)0x7d50189e, (q31_t)0x7d4ed09d,
+  (q31_t)0x7d4d884e, (q31_t)0x7d4c3fb1, (q31_t)0x7d4af6c8, (q31_t)0x7d49ad91, (q31_t)0x7d48640d, (q31_t)0x7d471a3c, (q31_t)0x7d45d01d, (q31_t)0x7d4485b1,
+  (q31_t)0x7d433af8, (q31_t)0x7d41eff1, (q31_t)0x7d40a49e, (q31_t)0x7d3f58fd, (q31_t)0x7d3e0d0e, (q31_t)0x7d3cc0d3, (q31_t)0x7d3b744a, (q31_t)0x7d3a2774,
+  (q31_t)0x7d38da51, (q31_t)0x7d378ce0, (q31_t)0x7d363f23, (q31_t)0x7d34f118, (q31_t)0x7d33a2bf, (q31_t)0x7d32541a, (q31_t)0x7d310527, (q31_t)0x7d2fb5e7,
+  (q31_t)0x7d2e665a, (q31_t)0x7d2d1680, (q31_t)0x7d2bc659, (q31_t)0x7d2a75e4, (q31_t)0x7d292522, (q31_t)0x7d27d413, (q31_t)0x7d2682b6, (q31_t)0x7d25310d,
+  (q31_t)0x7d23df16, (q31_t)0x7d228cd2, (q31_t)0x7d213a41, (q31_t)0x7d1fe762, (q31_t)0x7d1e9437, (q31_t)0x7d1d40be, (q31_t)0x7d1becf8, (q31_t)0x7d1a98e5,
+  (q31_t)0x7d194485, (q31_t)0x7d17efd8, (q31_t)0x7d169add, (q31_t)0x7d154595, (q31_t)0x7d13f001, (q31_t)0x7d129a1f, (q31_t)0x7d1143ef, (q31_t)0x7d0fed73,
+  (q31_t)0x7d0e96aa, (q31_t)0x7d0d3f93, (q31_t)0x7d0be82f, (q31_t)0x7d0a907e, (q31_t)0x7d093880, (q31_t)0x7d07e035, (q31_t)0x7d06879d, (q31_t)0x7d052eb8,
+  (q31_t)0x7d03d585, (q31_t)0x7d027c05, (q31_t)0x7d012239, (q31_t)0x7cffc81f, (q31_t)0x7cfe6db8, (q31_t)0x7cfd1304, (q31_t)0x7cfbb803, (q31_t)0x7cfa5cb4,
+  (q31_t)0x7cf90119, (q31_t)0x7cf7a531, (q31_t)0x7cf648fb, (q31_t)0x7cf4ec79, (q31_t)0x7cf38fa9, (q31_t)0x7cf2328c, (q31_t)0x7cf0d522, (q31_t)0x7cef776b,
+  (q31_t)0x7cee1967, (q31_t)0x7cecbb16, (q31_t)0x7ceb5c78, (q31_t)0x7ce9fd8d, (q31_t)0x7ce89e55, (q31_t)0x7ce73ed0, (q31_t)0x7ce5defd, (q31_t)0x7ce47ede,
+  (q31_t)0x7ce31e72, (q31_t)0x7ce1bdb8, (q31_t)0x7ce05cb2, (q31_t)0x7cdefb5e, (q31_t)0x7cdd99be, (q31_t)0x7cdc37d0, (q31_t)0x7cdad596, (q31_t)0x7cd9730e,
+  (q31_t)0x7cd8103a, (q31_t)0x7cd6ad18, (q31_t)0x7cd549aa, (q31_t)0x7cd3e5ee, (q31_t)0x7cd281e5, (q31_t)0x7cd11d90, (q31_t)0x7ccfb8ed, (q31_t)0x7cce53fe,
+  (q31_t)0x7ccceec1, (q31_t)0x7ccb8937, (q31_t)0x7cca2361, (q31_t)0x7cc8bd3d, (q31_t)0x7cc756cd, (q31_t)0x7cc5f010, (q31_t)0x7cc48905, (q31_t)0x7cc321ae,
+  (q31_t)0x7cc1ba09, (q31_t)0x7cc05218, (q31_t)0x7cbee9da, (q31_t)0x7cbd814f, (q31_t)0x7cbc1877, (q31_t)0x7cbaaf51, (q31_t)0x7cb945df, (q31_t)0x7cb7dc20,
+  (q31_t)0x7cb67215, (q31_t)0x7cb507bc, (q31_t)0x7cb39d16, (q31_t)0x7cb23223, (q31_t)0x7cb0c6e4, (q31_t)0x7caf5b57, (q31_t)0x7cadef7e, (q31_t)0x7cac8358,
+  (q31_t)0x7cab16e4, (q31_t)0x7ca9aa24, (q31_t)0x7ca83d17, (q31_t)0x7ca6cfbd, (q31_t)0x7ca56216, (q31_t)0x7ca3f423, (q31_t)0x7ca285e2, (q31_t)0x7ca11755,
+  (q31_t)0x7c9fa87a, (q31_t)0x7c9e3953, (q31_t)0x7c9cc9df, (q31_t)0x7c9b5a1e, (q31_t)0x7c99ea10, (q31_t)0x7c9879b6, (q31_t)0x7c97090e, (q31_t)0x7c95981a,
+  (q31_t)0x7c9426d8, (q31_t)0x7c92b54a, (q31_t)0x7c91436f, (q31_t)0x7c8fd148, (q31_t)0x7c8e5ed3, (q31_t)0x7c8cec12, (q31_t)0x7c8b7903, (q31_t)0x7c8a05a8,
+  (q31_t)0x7c889200, (q31_t)0x7c871e0c, (q31_t)0x7c85a9ca, (q31_t)0x7c84353c, (q31_t)0x7c82c060, (q31_t)0x7c814b39, (q31_t)0x7c7fd5c4, (q31_t)0x7c7e6002,
+  (q31_t)0x7c7ce9f4, (q31_t)0x7c7b7399, (q31_t)0x7c79fcf1, (q31_t)0x7c7885fc, (q31_t)0x7c770eba, (q31_t)0x7c75972c, (q31_t)0x7c741f51, (q31_t)0x7c72a729,
+  (q31_t)0x7c712eb5, (q31_t)0x7c6fb5f3, (q31_t)0x7c6e3ce5, (q31_t)0x7c6cc38a, (q31_t)0x7c6b49e3, (q31_t)0x7c69cfee, (q31_t)0x7c6855ad, (q31_t)0x7c66db1f,
+  (q31_t)0x7c656045, (q31_t)0x7c63e51e, (q31_t)0x7c6269aa, (q31_t)0x7c60ede9, (q31_t)0x7c5f71db, (q31_t)0x7c5df581, (q31_t)0x7c5c78da, (q31_t)0x7c5afbe6,
+  (q31_t)0x7c597ea6, (q31_t)0x7c580119, (q31_t)0x7c56833f, (q31_t)0x7c550519, (q31_t)0x7c5386a6, (q31_t)0x7c5207e6, (q31_t)0x7c5088d9, (q31_t)0x7c4f0980,
+  (q31_t)0x7c4d89da, (q31_t)0x7c4c09e8, (q31_t)0x7c4a89a8, (q31_t)0x7c49091c, (q31_t)0x7c478844, (q31_t)0x7c46071f, (q31_t)0x7c4485ad, (q31_t)0x7c4303ee,
+  (q31_t)0x7c4181e3, (q31_t)0x7c3fff8b, (q31_t)0x7c3e7ce7, (q31_t)0x7c3cf9f5, (q31_t)0x7c3b76b8, (q31_t)0x7c39f32d, (q31_t)0x7c386f56, (q31_t)0x7c36eb33,
+  (q31_t)0x7c3566c2, (q31_t)0x7c33e205, (q31_t)0x7c325cfc, (q31_t)0x7c30d7a6, (q31_t)0x7c2f5203, (q31_t)0x7c2dcc14, (q31_t)0x7c2c45d8, (q31_t)0x7c2abf4f,
+  (q31_t)0x7c29387a, (q31_t)0x7c27b158, (q31_t)0x7c2629ea, (q31_t)0x7c24a22f, (q31_t)0x7c231a28, (q31_t)0x7c2191d4, (q31_t)0x7c200933, (q31_t)0x7c1e8046,
+  (q31_t)0x7c1cf70c, (q31_t)0x7c1b6d86, (q31_t)0x7c19e3b3, (q31_t)0x7c185994, (q31_t)0x7c16cf28, (q31_t)0x7c15446f, (q31_t)0x7c13b96a, (q31_t)0x7c122e19,
+  (q31_t)0x7c10a27b, (q31_t)0x7c0f1690, (q31_t)0x7c0d8a59, (q31_t)0x7c0bfdd5, (q31_t)0x7c0a7105, (q31_t)0x7c08e3e8, (q31_t)0x7c07567f, (q31_t)0x7c05c8c9,
+  (q31_t)0x7c043ac7, (q31_t)0x7c02ac78, (q31_t)0x7c011ddd, (q31_t)0x7bff8ef5, (q31_t)0x7bfdffc1, (q31_t)0x7bfc7041, (q31_t)0x7bfae073, (q31_t)0x7bf9505a,
+  (q31_t)0x7bf7bff4, (q31_t)0x7bf62f41, (q31_t)0x7bf49e42, (q31_t)0x7bf30cf6, (q31_t)0x7bf17b5e, (q31_t)0x7befe97a, (q31_t)0x7bee5749, (q31_t)0x7becc4cc,
+  (q31_t)0x7beb3202, (q31_t)0x7be99eec, (q31_t)0x7be80b89, (q31_t)0x7be677da, (q31_t)0x7be4e3df, (q31_t)0x7be34f97, (q31_t)0x7be1bb02, (q31_t)0x7be02621,
+  (q31_t)0x7bde90f4, (q31_t)0x7bdcfb7b, (q31_t)0x7bdb65b5, (q31_t)0x7bd9cfa2, (q31_t)0x7bd83944, (q31_t)0x7bd6a298, (q31_t)0x7bd50ba1, (q31_t)0x7bd3745d,
+  (q31_t)0x7bd1dccc, (q31_t)0x7bd044f0, (q31_t)0x7bceacc7, (q31_t)0x7bcd1451, (q31_t)0x7bcb7b8f, (q31_t)0x7bc9e281, (q31_t)0x7bc84927, (q31_t)0x7bc6af80,
+  (q31_t)0x7bc5158c, (q31_t)0x7bc37b4d, (q31_t)0x7bc1e0c1, (q31_t)0x7bc045e9, (q31_t)0x7bbeaac4, (q31_t)0x7bbd0f53, (q31_t)0x7bbb7396, (q31_t)0x7bb9d78c,
+  (q31_t)0x7bb83b36, (q31_t)0x7bb69e94, (q31_t)0x7bb501a5, (q31_t)0x7bb3646a, (q31_t)0x7bb1c6e3, (q31_t)0x7bb02910, (q31_t)0x7bae8af0, (q31_t)0x7bacec84,
+  (q31_t)0x7bab4dcc, (q31_t)0x7ba9aec7, (q31_t)0x7ba80f76, (q31_t)0x7ba66fd9, (q31_t)0x7ba4cfef, (q31_t)0x7ba32fba, (q31_t)0x7ba18f38, (q31_t)0x7b9fee69,
+  (q31_t)0x7b9e4d4f, (q31_t)0x7b9cabe8, (q31_t)0x7b9b0a35, (q31_t)0x7b996836, (q31_t)0x7b97c5ea, (q31_t)0x7b962352, (q31_t)0x7b94806e, (q31_t)0x7b92dd3e,
+  (q31_t)0x7b9139c2, (q31_t)0x7b8f95f9, (q31_t)0x7b8df1e4, (q31_t)0x7b8c4d83, (q31_t)0x7b8aa8d6, (q31_t)0x7b8903dc, (q31_t)0x7b875e96, (q31_t)0x7b85b904,
+  (q31_t)0x7b841326, (q31_t)0x7b826cfc, (q31_t)0x7b80c686, (q31_t)0x7b7f1fc3, (q31_t)0x7b7d78b4, (q31_t)0x7b7bd159, (q31_t)0x7b7a29b2, (q31_t)0x7b7881be,
+  (q31_t)0x7b76d97f, (q31_t)0x7b7530f3, (q31_t)0x7b73881b, (q31_t)0x7b71def7, (q31_t)0x7b703587, (q31_t)0x7b6e8bcb, (q31_t)0x7b6ce1c2, (q31_t)0x7b6b376e,
+  (q31_t)0x7b698ccd, (q31_t)0x7b67e1e0, (q31_t)0x7b6636a7, (q31_t)0x7b648b22, (q31_t)0x7b62df51, (q31_t)0x7b613334, (q31_t)0x7b5f86ca, (q31_t)0x7b5dda15,
+  (q31_t)0x7b5c2d13, (q31_t)0x7b5a7fc6, (q31_t)0x7b58d22c, (q31_t)0x7b572446, (q31_t)0x7b557614, (q31_t)0x7b53c796, (q31_t)0x7b5218cc, (q31_t)0x7b5069b6,
+  (q31_t)0x7b4eba53, (q31_t)0x7b4d0aa5, (q31_t)0x7b4b5aab, (q31_t)0x7b49aa64, (q31_t)0x7b47f9d2, (q31_t)0x7b4648f3, (q31_t)0x7b4497c9, (q31_t)0x7b42e652,
+  (q31_t)0x7b413490, (q31_t)0x7b3f8281, (q31_t)0x7b3dd026, (q31_t)0x7b3c1d80, (q31_t)0x7b3a6a8d, (q31_t)0x7b38b74e, (q31_t)0x7b3703c3, (q31_t)0x7b354fed,
+  (q31_t)0x7b339bca, (q31_t)0x7b31e75b, (q31_t)0x7b3032a0, (q31_t)0x7b2e7d9a, (q31_t)0x7b2cc847, (q31_t)0x7b2b12a8, (q31_t)0x7b295cbe, (q31_t)0x7b27a687,
+  (q31_t)0x7b25f004, (q31_t)0x7b243936, (q31_t)0x7b22821b, (q31_t)0x7b20cab5, (q31_t)0x7b1f1302, (q31_t)0x7b1d5b04, (q31_t)0x7b1ba2b9, (q31_t)0x7b19ea23,
+  (q31_t)0x7b183141, (q31_t)0x7b167813, (q31_t)0x7b14be99, (q31_t)0x7b1304d3, (q31_t)0x7b114ac1, (q31_t)0x7b0f9063, (q31_t)0x7b0dd5b9, (q31_t)0x7b0c1ac4,
+  (q31_t)0x7b0a5f82, (q31_t)0x7b08a3f5, (q31_t)0x7b06e81b, (q31_t)0x7b052bf6, (q31_t)0x7b036f85, (q31_t)0x7b01b2c8, (q31_t)0x7afff5bf, (q31_t)0x7afe386a,
+  (q31_t)0x7afc7aca, (q31_t)0x7afabcdd, (q31_t)0x7af8fea5, (q31_t)0x7af74021, (q31_t)0x7af58151, (q31_t)0x7af3c235, (q31_t)0x7af202cd, (q31_t)0x7af0431a,
+  (q31_t)0x7aee831a, (q31_t)0x7aecc2cf, (q31_t)0x7aeb0238, (q31_t)0x7ae94155, (q31_t)0x7ae78026, (q31_t)0x7ae5beac, (q31_t)0x7ae3fce6, (q31_t)0x7ae23ad4,
+  (q31_t)0x7ae07876, (q31_t)0x7adeb5cc, (q31_t)0x7adcf2d6, (q31_t)0x7adb2f95, (q31_t)0x7ad96c08, (q31_t)0x7ad7a82f, (q31_t)0x7ad5e40a, (q31_t)0x7ad41f9a,
+  (q31_t)0x7ad25ade, (q31_t)0x7ad095d6, (q31_t)0x7aced082, (q31_t)0x7acd0ae3, (q31_t)0x7acb44f8, (q31_t)0x7ac97ec1, (q31_t)0x7ac7b83e, (q31_t)0x7ac5f170,
+  (q31_t)0x7ac42a55, (q31_t)0x7ac262ef, (q31_t)0x7ac09b3e, (q31_t)0x7abed341, (q31_t)0x7abd0af7, (q31_t)0x7abb4263, (q31_t)0x7ab97982, (q31_t)0x7ab7b056,
+  (q31_t)0x7ab5e6de, (q31_t)0x7ab41d1b, (q31_t)0x7ab2530b, (q31_t)0x7ab088b0, (q31_t)0x7aaebe0a, (q31_t)0x7aacf318, (q31_t)0x7aab27da, (q31_t)0x7aa95c50,
+  (q31_t)0x7aa7907b, (q31_t)0x7aa5c45a, (q31_t)0x7aa3f7ed, (q31_t)0x7aa22b35, (q31_t)0x7aa05e31, (q31_t)0x7a9e90e1, (q31_t)0x7a9cc346, (q31_t)0x7a9af55f,
+  (q31_t)0x7a99272d, (q31_t)0x7a9758af, (q31_t)0x7a9589e5, (q31_t)0x7a93bad0, (q31_t)0x7a91eb6f, (q31_t)0x7a901bc2, (q31_t)0x7a8e4bca, (q31_t)0x7a8c7b87,
+  (q31_t)0x7a8aaaf7, (q31_t)0x7a88da1c, (q31_t)0x7a8708f6, (q31_t)0x7a853784, (q31_t)0x7a8365c6, (q31_t)0x7a8193bd, (q31_t)0x7a7fc168, (q31_t)0x7a7deec8,
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+  (q31_t)0x777d3c6f, (q31_t)0x777afb8f, (q31_t)0x7778ba65, (q31_t)0x777678f2, (q31_t)0x77743735, (q31_t)0x7771f52e, (q31_t)0x776fb2de, (q31_t)0x776d7044,
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+  (q31_t)0x7746d806, (q31_t)0x7744903f, (q31_t)0x7742482e, (q31_t)0x773fffd4, (q31_t)0x773db730, (q31_t)0x773b6e42, (q31_t)0x7739250b, (q31_t)0x7736db8b,
+  (q31_t)0x773491c0, (q31_t)0x773247ad, (q31_t)0x772ffd50, (q31_t)0x772db2a9, (q31_t)0x772b67b9, (q31_t)0x77291c7f, (q31_t)0x7726d0fc, (q31_t)0x7724852f,
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+  (q31_t)0x76c56a77, (q31_t)0x76c312a0, (q31_t)0x76c0ba80, (q31_t)0x76be6217, (q31_t)0x76bc0965, (q31_t)0x76b9b069, (q31_t)0x76b75724, (q31_t)0x76b4fd96,
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+  (q31_t)0x769fcab9, (q31_t)0x769d6e4f, (q31_t)0x769b119b, (q31_t)0x7698b49f, (q31_t)0x76965759, (q31_t)0x7693f9ca, (q31_t)0x76919bf3, (q31_t)0x768f3dd2,
+  (q31_t)0x768cdf67, (q31_t)0x768a80b4, (q31_t)0x768821b8, (q31_t)0x7685c272, (q31_t)0x768362e4, (q31_t)0x7681030c, (q31_t)0x767ea2eb, (q31_t)0x767c4281,
+  (q31_t)0x7679e1ce, (q31_t)0x767780d2, (q31_t)0x76751f8d, (q31_t)0x7672bdfe, (q31_t)0x76705c27, (q31_t)0x766dfa07, (q31_t)0x766b979d, (q31_t)0x766934eb,
+  (q31_t)0x7666d1ef, (q31_t)0x76646eab, (q31_t)0x76620b1d, (q31_t)0x765fa747, (q31_t)0x765d4327, (q31_t)0x765adebe, (q31_t)0x76587a0d, (q31_t)0x76561512,
+  (q31_t)0x7653afce, (q31_t)0x76514a42, (q31_t)0x764ee46c, (q31_t)0x764c7e4d, (q31_t)0x764a17e6, (q31_t)0x7647b135, (q31_t)0x76454a3c, (q31_t)0x7642e2f9,
+  (q31_t)0x76407b6e, (q31_t)0x763e139a, (q31_t)0x763bab7c, (q31_t)0x76394316, (q31_t)0x7636da67, (q31_t)0x7634716f, (q31_t)0x7632082e, (q31_t)0x762f9ea4,
+  (q31_t)0x762d34d1, (q31_t)0x762acab6, (q31_t)0x76286051, (q31_t)0x7625f5a3, (q31_t)0x76238aad, (q31_t)0x76211f6e, (q31_t)0x761eb3e6, (q31_t)0x761c4815,
+  (q31_t)0x7619dbfb, (q31_t)0x76176f98, (q31_t)0x761502ed, (q31_t)0x761295f9, (q31_t)0x761028bb, (q31_t)0x760dbb35, (q31_t)0x760b4d67, (q31_t)0x7608df4f,
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+  (q31_t)0x6fd8859d, (q31_t)0x6fd57746, (q31_t)0x6fd268ab, (q31_t)0x6fcf59cb, (q31_t)0x6fcc4aa6, (q31_t)0x6fc93b3c, (q31_t)0x6fc62b8d, (q31_t)0x6fc31b99,
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+  (q31_t)0x6fa77fe8, (q31_t)0x6fa46d43, (q31_t)0x6fa15a59, (q31_t)0x6f9e472b, (q31_t)0x6f9b33b7, (q31_t)0x6f981fff, (q31_t)0x6f950c01, (q31_t)0x6f91f7bf,
+  (q31_t)0x6f8ee338, (q31_t)0x6f8bce6c, (q31_t)0x6f88b95c, (q31_t)0x6f85a407, (q31_t)0x6f828e6c, (q31_t)0x6f7f788d, (q31_t)0x6f7c626a, (q31_t)0x6f794c01,
+  (q31_t)0x6f763554, (q31_t)0x6f731e62, (q31_t)0x6f70072b, (q31_t)0x6f6cefb0, (q31_t)0x6f69d7f0, (q31_t)0x6f66bfeb, (q31_t)0x6f63a7a1, (q31_t)0x6f608f13,
+  (q31_t)0x6f5d7640, (q31_t)0x6f5a5d28, (q31_t)0x6f5743cb, (q31_t)0x6f542a2a, (q31_t)0x6f511044, (q31_t)0x6f4df61a, (q31_t)0x6f4adbab, (q31_t)0x6f47c0f7,
+  (q31_t)0x6f44a5ff, (q31_t)0x6f418ac2, (q31_t)0x6f3e6f40, (q31_t)0x6f3b537a, (q31_t)0x6f38376f, (q31_t)0x6f351b1f, (q31_t)0x6f31fe8b, (q31_t)0x6f2ee1b2,
+  (q31_t)0x6f2bc495, (q31_t)0x6f28a733, (q31_t)0x6f25898d, (q31_t)0x6f226ba2, (q31_t)0x6f1f4d72, (q31_t)0x6f1c2efe, (q31_t)0x6f191045, (q31_t)0x6f15f148,
+  (q31_t)0x6f12d206, (q31_t)0x6f0fb280, (q31_t)0x6f0c92b6, (q31_t)0x6f0972a6, (q31_t)0x6f065253, (q31_t)0x6f0331ba, (q31_t)0x6f0010de, (q31_t)0x6efcefbd,
+  (q31_t)0x6ef9ce57, (q31_t)0x6ef6acad, (q31_t)0x6ef38abe, (q31_t)0x6ef0688b, (q31_t)0x6eed4614, (q31_t)0x6eea2358, (q31_t)0x6ee70058, (q31_t)0x6ee3dd13,
+  (q31_t)0x6ee0b98a, (q31_t)0x6edd95bd, (q31_t)0x6eda71ab, (q31_t)0x6ed74d55, (q31_t)0x6ed428ba, (q31_t)0x6ed103db, (q31_t)0x6ecddeb8, (q31_t)0x6ecab950,
+  (q31_t)0x6ec793a4, (q31_t)0x6ec46db4, (q31_t)0x6ec1477f, (q31_t)0x6ebe2106, (q31_t)0x6ebafa49, (q31_t)0x6eb7d347, (q31_t)0x6eb4ac02, (q31_t)0x6eb18477,
+  (q31_t)0x6eae5ca9, (q31_t)0x6eab3496, (q31_t)0x6ea80c3f, (q31_t)0x6ea4e3a4, (q31_t)0x6ea1bac4, (q31_t)0x6e9e91a1, (q31_t)0x6e9b6839, (q31_t)0x6e983e8d,
+  (q31_t)0x6e95149c, (q31_t)0x6e91ea67, (q31_t)0x6e8ebfef, (q31_t)0x6e8b9532, (q31_t)0x6e886a30, (q31_t)0x6e853eeb, (q31_t)0x6e821361, (q31_t)0x6e7ee794,
+  (q31_t)0x6e7bbb82, (q31_t)0x6e788f2c, (q31_t)0x6e756291, (q31_t)0x6e7235b3, (q31_t)0x6e6f0890, (q31_t)0x6e6bdb2a, (q31_t)0x6e68ad7f, (q31_t)0x6e657f90,
+  (q31_t)0x6e62515d, (q31_t)0x6e5f22e6, (q31_t)0x6e5bf42b, (q31_t)0x6e58c52c, (q31_t)0x6e5595e9, (q31_t)0x6e526662, (q31_t)0x6e4f3696, (q31_t)0x6e4c0687,
+  (q31_t)0x6e48d633, (q31_t)0x6e45a59c, (q31_t)0x6e4274c1, (q31_t)0x6e3f43a1, (q31_t)0x6e3c123e, (q31_t)0x6e38e096, (q31_t)0x6e35aeab, (q31_t)0x6e327c7b,
+  (q31_t)0x6e2f4a08, (q31_t)0x6e2c1750, (q31_t)0x6e28e455, (q31_t)0x6e25b115, (q31_t)0x6e227d92, (q31_t)0x6e1f49cb, (q31_t)0x6e1c15c0, (q31_t)0x6e18e171,
+  (q31_t)0x6e15acde, (q31_t)0x6e127807, (q31_t)0x6e0f42ec, (q31_t)0x6e0c0d8e, (q31_t)0x6e08d7eb, (q31_t)0x6e05a205, (q31_t)0x6e026bda, (q31_t)0x6dff356c,
+  (q31_t)0x6dfbfeba, (q31_t)0x6df8c7c4, (q31_t)0x6df5908b, (q31_t)0x6df2590d, (q31_t)0x6def214c, (q31_t)0x6debe947, (q31_t)0x6de8b0fe, (q31_t)0x6de57871,
+  (q31_t)0x6de23fa0, (q31_t)0x6ddf068c, (q31_t)0x6ddbcd34, (q31_t)0x6dd89398, (q31_t)0x6dd559b9, (q31_t)0x6dd21f95, (q31_t)0x6dcee52e, (q31_t)0x6dcbaa83,
+  (q31_t)0x6dc86f95, (q31_t)0x6dc53462, (q31_t)0x6dc1f8ec, (q31_t)0x6dbebd33, (q31_t)0x6dbb8135, (q31_t)0x6db844f4, (q31_t)0x6db5086f, (q31_t)0x6db1cba7,
+  (q31_t)0x6dae8e9b, (q31_t)0x6dab514b, (q31_t)0x6da813b8, (q31_t)0x6da4d5e1, (q31_t)0x6da197c6, (q31_t)0x6d9e5968, (q31_t)0x6d9b1ac6, (q31_t)0x6d97dbe0,
+  (q31_t)0x6d949cb7, (q31_t)0x6d915d4a, (q31_t)0x6d8e1d9a, (q31_t)0x6d8adda6, (q31_t)0x6d879d6e, (q31_t)0x6d845cf3, (q31_t)0x6d811c35, (q31_t)0x6d7ddb33,
+  (q31_t)0x6d7a99ed, (q31_t)0x6d775864, (q31_t)0x6d741697, (q31_t)0x6d70d487, (q31_t)0x6d6d9233, (q31_t)0x6d6a4f9c, (q31_t)0x6d670cc1, (q31_t)0x6d63c9a3,
+  (q31_t)0x6d608641, (q31_t)0x6d5d429c, (q31_t)0x6d59feb3, (q31_t)0x6d56ba87, (q31_t)0x6d537617, (q31_t)0x6d503164, (q31_t)0x6d4cec6e, (q31_t)0x6d49a734,
+  (q31_t)0x6d4661b7, (q31_t)0x6d431bf6, (q31_t)0x6d3fd5f2, (q31_t)0x6d3c8fab, (q31_t)0x6d394920, (q31_t)0x6d360252, (q31_t)0x6d32bb40, (q31_t)0x6d2f73eb,
+  (q31_t)0x6d2c2c53, (q31_t)0x6d28e477, (q31_t)0x6d259c58, (q31_t)0x6d2253f6, (q31_t)0x6d1f0b50, (q31_t)0x6d1bc267, (q31_t)0x6d18793b, (q31_t)0x6d152fcc,
+  (q31_t)0x6d11e619, (q31_t)0x6d0e9c23, (q31_t)0x6d0b51e9, (q31_t)0x6d08076d, (q31_t)0x6d04bcad, (q31_t)0x6d0171aa, (q31_t)0x6cfe2663, (q31_t)0x6cfadada,
+  (q31_t)0x6cf78f0d, (q31_t)0x6cf442fd, (q31_t)0x6cf0f6aa, (q31_t)0x6cedaa13, (q31_t)0x6cea5d3a, (q31_t)0x6ce7101d, (q31_t)0x6ce3c2bd, (q31_t)0x6ce0751a,
+  (q31_t)0x6cdd2733, (q31_t)0x6cd9d90a, (q31_t)0x6cd68a9d, (q31_t)0x6cd33bed, (q31_t)0x6ccfecfa, (q31_t)0x6ccc9dc4, (q31_t)0x6cc94e4b, (q31_t)0x6cc5fe8f,
+  (q31_t)0x6cc2ae90, (q31_t)0x6cbf5e4d, (q31_t)0x6cbc0dc8, (q31_t)0x6cb8bcff, (q31_t)0x6cb56bf4, (q31_t)0x6cb21aa5, (q31_t)0x6caec913, (q31_t)0x6cab773e,
+  (q31_t)0x6ca82527, (q31_t)0x6ca4d2cc, (q31_t)0x6ca1802e, (q31_t)0x6c9e2d4d, (q31_t)0x6c9ada29, (q31_t)0x6c9786c2, (q31_t)0x6c943318, (q31_t)0x6c90df2c,
+  (q31_t)0x6c8d8afc, (q31_t)0x6c8a3689, (q31_t)0x6c86e1d3, (q31_t)0x6c838cdb, (q31_t)0x6c80379f, (q31_t)0x6c7ce220, (q31_t)0x6c798c5f, (q31_t)0x6c76365b,
+  (q31_t)0x6c72e013, (q31_t)0x6c6f8989, (q31_t)0x6c6c32bc, (q31_t)0x6c68dbac, (q31_t)0x6c658459, (q31_t)0x6c622cc4, (q31_t)0x6c5ed4eb, (q31_t)0x6c5b7cd0,
+  (q31_t)0x6c582472, (q31_t)0x6c54cbd1, (q31_t)0x6c5172ed, (q31_t)0x6c4e19c6, (q31_t)0x6c4ac05d, (q31_t)0x6c4766b0, (q31_t)0x6c440cc1, (q31_t)0x6c40b28f,
+  (q31_t)0x6c3d581b, (q31_t)0x6c39fd63, (q31_t)0x6c36a269, (q31_t)0x6c33472c, (q31_t)0x6c2febad, (q31_t)0x6c2c8fea, (q31_t)0x6c2933e5, (q31_t)0x6c25d79d,
+  (q31_t)0x6c227b13, (q31_t)0x6c1f1e45, (q31_t)0x6c1bc136, (q31_t)0x6c1863e3, (q31_t)0x6c15064e, (q31_t)0x6c11a876, (q31_t)0x6c0e4a5b, (q31_t)0x6c0aebfe,
+  (q31_t)0x6c078d5e, (q31_t)0x6c042e7b, (q31_t)0x6c00cf56, (q31_t)0x6bfd6fee, (q31_t)0x6bfa1044, (q31_t)0x6bf6b056, (q31_t)0x6bf35027, (q31_t)0x6befefb5,
+  (q31_t)0x6bec8f00, (q31_t)0x6be92e08, (q31_t)0x6be5ccce, (q31_t)0x6be26b52, (q31_t)0x6bdf0993, (q31_t)0x6bdba791, (q31_t)0x6bd8454d, (q31_t)0x6bd4e2c6,
+  (q31_t)0x6bd17ffd, (q31_t)0x6bce1cf1, (q31_t)0x6bcab9a3, (q31_t)0x6bc75613, (q31_t)0x6bc3f23f, (q31_t)0x6bc08e2a, (q31_t)0x6bbd29d2, (q31_t)0x6bb9c537,
+  (q31_t)0x6bb6605a, (q31_t)0x6bb2fb3b, (q31_t)0x6baf95d9, (q31_t)0x6bac3034, (q31_t)0x6ba8ca4e, (q31_t)0x6ba56425, (q31_t)0x6ba1fdb9, (q31_t)0x6b9e970b,
+  (q31_t)0x6b9b301b, (q31_t)0x6b97c8e8, (q31_t)0x6b946173, (q31_t)0x6b90f9bc, (q31_t)0x6b8d91c2, (q31_t)0x6b8a2986, (q31_t)0x6b86c107, (q31_t)0x6b835846,
+  (q31_t)0x6b7fef43, (q31_t)0x6b7c85fe, (q31_t)0x6b791c76, (q31_t)0x6b75b2ac, (q31_t)0x6b7248a0, (q31_t)0x6b6ede51, (q31_t)0x6b6b73c0, (q31_t)0x6b6808ed,
+  (q31_t)0x6b649dd8, (q31_t)0x6b613280, (q31_t)0x6b5dc6e6, (q31_t)0x6b5a5b0a, (q31_t)0x6b56eeec, (q31_t)0x6b53828b, (q31_t)0x6b5015e9, (q31_t)0x6b4ca904,
+  (q31_t)0x6b493bdd, (q31_t)0x6b45ce73, (q31_t)0x6b4260c8, (q31_t)0x6b3ef2da, (q31_t)0x6b3b84ab, (q31_t)0x6b381639, (q31_t)0x6b34a785, (q31_t)0x6b31388e,
+  (q31_t)0x6b2dc956, (q31_t)0x6b2a59dc, (q31_t)0x6b26ea1f, (q31_t)0x6b237a21, (q31_t)0x6b2009e0, (q31_t)0x6b1c995d, (q31_t)0x6b192898, (q31_t)0x6b15b791,
+  (q31_t)0x6b124648, (q31_t)0x6b0ed4bd, (q31_t)0x6b0b62f0, (q31_t)0x6b07f0e1, (q31_t)0x6b047e90, (q31_t)0x6b010bfd, (q31_t)0x6afd9928, (q31_t)0x6afa2610,
+  (q31_t)0x6af6b2b7, (q31_t)0x6af33f1c, (q31_t)0x6aefcb3f, (q31_t)0x6aec5720, (q31_t)0x6ae8e2bf, (q31_t)0x6ae56e1c, (q31_t)0x6ae1f937, (q31_t)0x6ade8410,
+  (q31_t)0x6adb0ea8, (q31_t)0x6ad798fd, (q31_t)0x6ad42311, (q31_t)0x6ad0ace2, (q31_t)0x6acd3672, (q31_t)0x6ac9bfc0, (q31_t)0x6ac648cb, (q31_t)0x6ac2d195,
+  (q31_t)0x6abf5a1e, (q31_t)0x6abbe264, (q31_t)0x6ab86a68, (q31_t)0x6ab4f22b, (q31_t)0x6ab179ac, (q31_t)0x6aae00eb, (q31_t)0x6aaa87e8, (q31_t)0x6aa70ea4,
+  (q31_t)0x6aa3951d, (q31_t)0x6aa01b55, (q31_t)0x6a9ca14b, (q31_t)0x6a992700, (q31_t)0x6a95ac72, (q31_t)0x6a9231a3, (q31_t)0x6a8eb692, (q31_t)0x6a8b3b3f,
+  (q31_t)0x6a87bfab, (q31_t)0x6a8443d5, (q31_t)0x6a80c7bd, (q31_t)0x6a7d4b64, (q31_t)0x6a79cec8, (q31_t)0x6a7651ec, (q31_t)0x6a72d4cd, (q31_t)0x6a6f576d,
+  (q31_t)0x6a6bd9cb, (q31_t)0x6a685be8, (q31_t)0x6a64ddc2, (q31_t)0x6a615f5c, (q31_t)0x6a5de0b3, (q31_t)0x6a5a61c9, (q31_t)0x6a56e29e, (q31_t)0x6a536331,
+  (q31_t)0x6a4fe382, (q31_t)0x6a4c6391, (q31_t)0x6a48e360, (q31_t)0x6a4562ec, (q31_t)0x6a41e237, (q31_t)0x6a3e6140, (q31_t)0x6a3ae008, (q31_t)0x6a375e8f,
+  (q31_t)0x6a33dcd4, (q31_t)0x6a305ad7, (q31_t)0x6a2cd899, (q31_t)0x6a295619, (q31_t)0x6a25d358, (q31_t)0x6a225055, (q31_t)0x6a1ecd11, (q31_t)0x6a1b498c,
+  (q31_t)0x6a17c5c5, (q31_t)0x6a1441bc, (q31_t)0x6a10bd72, (q31_t)0x6a0d38e7, (q31_t)0x6a09b41a, (q31_t)0x6a062f0c, (q31_t)0x6a02a9bc, (q31_t)0x69ff242b,
+  (q31_t)0x69fb9e59, (q31_t)0x69f81845, (q31_t)0x69f491f0, (q31_t)0x69f10b5a, (q31_t)0x69ed8482, (q31_t)0x69e9fd69, (q31_t)0x69e6760f, (q31_t)0x69e2ee73,
+  (q31_t)0x69df6696, (q31_t)0x69dbde77, (q31_t)0x69d85618, (q31_t)0x69d4cd77, (q31_t)0x69d14494, (q31_t)0x69cdbb71, (q31_t)0x69ca320c, (q31_t)0x69c6a866,
+  (q31_t)0x69c31e7f, (q31_t)0x69bf9456, (q31_t)0x69bc09ec, (q31_t)0x69b87f41, (q31_t)0x69b4f455, (q31_t)0x69b16928, (q31_t)0x69adddb9, (q31_t)0x69aa5209,
+  (q31_t)0x69a6c618, (q31_t)0x69a339e6, (q31_t)0x699fad73, (q31_t)0x699c20be, (q31_t)0x699893c9, (q31_t)0x69950692, (q31_t)0x6991791a, (q31_t)0x698deb61,
+  (q31_t)0x698a5d67, (q31_t)0x6986cf2c, (q31_t)0x698340af, (q31_t)0x697fb1f2, (q31_t)0x697c22f3, (q31_t)0x697893b4, (q31_t)0x69750433, (q31_t)0x69717472,
+  (q31_t)0x696de46f, (q31_t)0x696a542b, (q31_t)0x6966c3a6, (q31_t)0x696332e1, (q31_t)0x695fa1da, (q31_t)0x695c1092, (q31_t)0x69587f09, (q31_t)0x6954ed40,
+  (q31_t)0x69515b35, (q31_t)0x694dc8e9, (q31_t)0x694a365c, (q31_t)0x6946a38f, (q31_t)0x69431080, (q31_t)0x693f7d31, (q31_t)0x693be9a0, (q31_t)0x693855cf,
+  (q31_t)0x6934c1bd, (q31_t)0x69312d6a, (q31_t)0x692d98d6, (q31_t)0x692a0401, (q31_t)0x69266eeb, (q31_t)0x6922d995, (q31_t)0x691f43fd, (q31_t)0x691bae25,
+  (q31_t)0x6918180c, (q31_t)0x691481b2, (q31_t)0x6910eb17, (q31_t)0x690d543b, (q31_t)0x6909bd1f, (q31_t)0x690625c2, (q31_t)0x69028e24, (q31_t)0x68fef645,
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+  (q31_t)0x68c1b9cc, (q31_t)0x68be1d61, (q31_t)0x68ba80b5, (q31_t)0x68b6e3c8, (q31_t)0x68b3469b, (q31_t)0x68afa92e, (q31_t)0x68ac0b7f, (q31_t)0x68a86d91,
+  (q31_t)0x68a4cf61, (q31_t)0x68a130f1, (q31_t)0x689d9241, (q31_t)0x6899f350, (q31_t)0x6896541f, (q31_t)0x6892b4ad, (q31_t)0x688f14fa, (q31_t)0x688b7507,
+  (q31_t)0x6887d4d4, (q31_t)0x68843460, (q31_t)0x688093ab, (q31_t)0x687cf2b6, (q31_t)0x68795181, (q31_t)0x6875b00b, (q31_t)0x68720e55, (q31_t)0x686e6c5e,
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+  (q31_t)0x684daf61, (q31_t)0x684a0ae6, (q31_t)0x6846662c, (q31_t)0x6842c131, (q31_t)0x683f1bf5, (q31_t)0x683b7679, (q31_t)0x6837d0bd, (q31_t)0x68342ac1,
+  (q31_t)0x68308485, (q31_t)0x682cde08, (q31_t)0x6829374b, (q31_t)0x6825904d, (q31_t)0x6821e910, (q31_t)0x681e4192, (q31_t)0x681a99d4, (q31_t)0x6816f1d6,
+  (q31_t)0x68134997, (q31_t)0x680fa118, (q31_t)0x680bf85a, (q31_t)0x68084f5a, (q31_t)0x6804a61b, (q31_t)0x6800fc9c, (q31_t)0x67fd52dc, (q31_t)0x67f9a8dd,
+  (q31_t)0x67f5fe9d, (q31_t)0x67f2541d, (q31_t)0x67eea95d, (q31_t)0x67eafe5d, (q31_t)0x67e7531c, (q31_t)0x67e3a79c, (q31_t)0x67dffbdc, (q31_t)0x67dc4fdb,
+  (q31_t)0x67d8a39a, (q31_t)0x67d4f71a, (q31_t)0x67d14a59, (q31_t)0x67cd9d58, (q31_t)0x67c9f017, (q31_t)0x67c64297, (q31_t)0x67c294d6, (q31_t)0x67bee6d5,
+  (q31_t)0x67bb3894, (q31_t)0x67b78a13, (q31_t)0x67b3db53, (q31_t)0x67b02c52, (q31_t)0x67ac7d11, (q31_t)0x67a8cd91, (q31_t)0x67a51dd0, (q31_t)0x67a16dcf,
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+  (q31_t)0x6780328f, (q31_t)0x677c8010, (q31_t)0x6778cd50, (q31_t)0x67751a51, (q31_t)0x67716713, (q31_t)0x676db394, (q31_t)0x6769ffd5, (q31_t)0x67664bd7,
+  (q31_t)0x67629799, (q31_t)0x675ee31b, (q31_t)0x675b2e5e, (q31_t)0x67577960, (q31_t)0x6753c423, (q31_t)0x67500ea7, (q31_t)0x674c58ea, (q31_t)0x6748a2ee,
+  (q31_t)0x6744ecb2, (q31_t)0x67413636, (q31_t)0x673d7f7b, (q31_t)0x6739c880, (q31_t)0x67361145, (q31_t)0x673259ca, (q31_t)0x672ea210, (q31_t)0x672aea17,
+  (q31_t)0x672731dd, (q31_t)0x67237964, (q31_t)0x671fc0ac, (q31_t)0x671c07b4, (q31_t)0x67184e7c, (q31_t)0x67149504, (q31_t)0x6710db4d, (q31_t)0x670d2157,
+  (q31_t)0x67096721, (q31_t)0x6705acab, (q31_t)0x6701f1f6, (q31_t)0x66fe3701, (q31_t)0x66fa7bcd, (q31_t)0x66f6c059, (q31_t)0x66f304a6, (q31_t)0x66ef48b3,
+  (q31_t)0x66eb8c80, (q31_t)0x66e7d00f, (q31_t)0x66e4135d, (q31_t)0x66e0566c, (q31_t)0x66dc993c, (q31_t)0x66d8dbcd, (q31_t)0x66d51e1d, (q31_t)0x66d1602f,
+  (q31_t)0x66cda201, (q31_t)0x66c9e393, (q31_t)0x66c624e7, (q31_t)0x66c265fa, (q31_t)0x66bea6cf, (q31_t)0x66bae764, (q31_t)0x66b727ba, (q31_t)0x66b367d0,
+  (q31_t)0x66afa7a7, (q31_t)0x66abe73f, (q31_t)0x66a82697, (q31_t)0x66a465b0, (q31_t)0x66a0a489, (q31_t)0x669ce324, (q31_t)0x6699217f, (q31_t)0x66955f9b,
+  (q31_t)0x66919d77, (q31_t)0x668ddb14, (q31_t)0x668a1872, (q31_t)0x66865591, (q31_t)0x66829270, (q31_t)0x667ecf11, (q31_t)0x667b0b72, (q31_t)0x66774793,
+  (q31_t)0x66738376, (q31_t)0x666fbf19, (q31_t)0x666bfa7d, (q31_t)0x666835a2, (q31_t)0x66647088, (q31_t)0x6660ab2f, (q31_t)0x665ce596, (q31_t)0x66591fbf,
+  (q31_t)0x665559a8, (q31_t)0x66519352, (q31_t)0x664dccbd, (q31_t)0x664a05e9, (q31_t)0x66463ed6, (q31_t)0x66427784, (q31_t)0x663eaff2, (q31_t)0x663ae822,
+  (q31_t)0x66372012, (q31_t)0x663357c4, (q31_t)0x662f8f36, (q31_t)0x662bc66a, (q31_t)0x6627fd5e, (q31_t)0x66243413, (q31_t)0x66206a8a, (q31_t)0x661ca0c1,
+  (q31_t)0x6618d6b9, (q31_t)0x66150c73, (q31_t)0x661141ed, (q31_t)0x660d7729, (q31_t)0x6609ac25, (q31_t)0x6605e0e3, (q31_t)0x66021561, (q31_t)0x65fe49a1,
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+  (q31_t)0x65dc14d0, (q31_t)0x65d8469b, (q31_t)0x65d47827, (q31_t)0x65d0a975, (q31_t)0x65ccda83, (q31_t)0x65c90b53, (q31_t)0x65c53be4, (q31_t)0x65c16c36,
+  (q31_t)0x65bd9c49, (q31_t)0x65b9cc1e, (q31_t)0x65b5fbb4, (q31_t)0x65b22b0b, (q31_t)0x65ae5a23, (q31_t)0x65aa88fd, (q31_t)0x65a6b798, (q31_t)0x65a2e5f4,
+  (q31_t)0x659f1412, (q31_t)0x659b41f1, (q31_t)0x65976f91, (q31_t)0x65939cf3, (q31_t)0x658fca15, (q31_t)0x658bf6fa, (q31_t)0x6588239f, (q31_t)0x65845006,
+  (q31_t)0x65807c2f, (q31_t)0x657ca818, (q31_t)0x6578d3c4, (q31_t)0x6574ff30, (q31_t)0x65712a5e, (q31_t)0x656d554d, (q31_t)0x65697ffe, (q31_t)0x6565aa71,
+  (q31_t)0x6561d4a4, (q31_t)0x655dfe99, (q31_t)0x655a2850, (q31_t)0x655651c8, (q31_t)0x65527b02, (q31_t)0x654ea3fd, (q31_t)0x654accba, (q31_t)0x6546f538,
+  (q31_t)0x65431d77, (q31_t)0x653f4579, (q31_t)0x653b6d3b, (q31_t)0x653794c0, (q31_t)0x6533bc06, (q31_t)0x652fe30d, (q31_t)0x652c09d6, (q31_t)0x65283061,
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+  (q31_t)0x6505804a, (q31_t)0x6501a465, (q31_t)0x64fdc841, (q31_t)0x64f9ebe0, (q31_t)0x64f60f40, (q31_t)0x64f23262, (q31_t)0x64ee5546, (q31_t)0x64ea77eb,
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+  (q31_t)0x64c7a4cb, (q31_t)0x64c3c502, (q31_t)0x64bfe4fc, (q31_t)0x64bc04b6, (q31_t)0x64b82433, (q31_t)0x64b44372, (q31_t)0x64b06273, (q31_t)0x64ac8135,
+  (q31_t)0x64a89fba, (q31_t)0x64a4be00, (q31_t)0x64a0dc08, (q31_t)0x649cf9d2, (q31_t)0x6499175e, (q31_t)0x649534ac, (q31_t)0x649151bc, (q31_t)0x648d6e8e,
+  (q31_t)0x64898b22, (q31_t)0x6485a778, (q31_t)0x6481c390, (q31_t)0x647ddf6a, (q31_t)0x6479fb06, (q31_t)0x64761664, (q31_t)0x64723184, (q31_t)0x646e4c66,
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+  (q31_t)0x644b3375, (q31_t)0x64474bec, (q31_t)0x64436425, (q31_t)0x643f7c20, (q31_t)0x643b93dd, (q31_t)0x6437ab5d, (q31_t)0x6433c29f, (q31_t)0x642fd9a3,
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+  (q31_t)0x640c9dea, (q31_t)0x6408b284, (q31_t)0x6404c6e1, (q31_t)0x6400db00, (q31_t)0x63fceee1, (q31_t)0x63f90285, (q31_t)0x63f515eb, (q31_t)0x63f12913,
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+  (q31_t)0x63cdcaa8, (q31_t)0x63c9db68, (q31_t)0x63c5ebeb, (q31_t)0x63c1fc30, (q31_t)0x63be0c37, (q31_t)0x63ba1c01, (q31_t)0x63b62b8e, (q31_t)0x63b23add,
+  (q31_t)0x63ae49ee, (q31_t)0x63aa58c2, (q31_t)0x63a66759, (q31_t)0x63a275b2, (q31_t)0x639e83cd, (q31_t)0x639a91ac, (q31_t)0x63969f4c, (q31_t)0x6392acaf,
+  (q31_t)0x638eb9d5, (q31_t)0x638ac6be, (q31_t)0x6386d369, (q31_t)0x6382dfd6, (q31_t)0x637eec07, (q31_t)0x637af7fa, (q31_t)0x637703af, (q31_t)0x63730f27,
+  (q31_t)0x636f1a62, (q31_t)0x636b2560, (q31_t)0x63673020, (q31_t)0x63633aa3, (q31_t)0x635f44e8, (q31_t)0x635b4ef0, (q31_t)0x635758bb, (q31_t)0x63536249,
+  (q31_t)0x634f6b99, (q31_t)0x634b74ad, (q31_t)0x63477d82, (q31_t)0x6343861b, (q31_t)0x633f8e76, (q31_t)0x633b9695, (q31_t)0x63379e76, (q31_t)0x6333a619,
+  (q31_t)0x632fad80, (q31_t)0x632bb4a9, (q31_t)0x6327bb96, (q31_t)0x6323c245, (q31_t)0x631fc8b7, (q31_t)0x631bceeb, (q31_t)0x6317d4e3, (q31_t)0x6313da9e,
+  (q31_t)0x630fe01b, (q31_t)0x630be55b, (q31_t)0x6307ea5e, (q31_t)0x6303ef25, (q31_t)0x62fff3ae, (q31_t)0x62fbf7fa, (q31_t)0x62f7fc08, (q31_t)0x62f3ffda,
+  (q31_t)0x62f0036f, (q31_t)0x62ec06c7, (q31_t)0x62e809e2, (q31_t)0x62e40cbf, (q31_t)0x62e00f60, (q31_t)0x62dc11c4, (q31_t)0x62d813eb, (q31_t)0x62d415d4,
+  (q31_t)0x62d01781, (q31_t)0x62cc18f1, (q31_t)0x62c81a24, (q31_t)0x62c41b1a, (q31_t)0x62c01bd3, (q31_t)0x62bc1c4f, (q31_t)0x62b81c8f, (q31_t)0x62b41c91,
+  (q31_t)0x62b01c57, (q31_t)0x62ac1bdf, (q31_t)0x62a81b2b, (q31_t)0x62a41a3a, (q31_t)0x62a0190c, (q31_t)0x629c17a1, (q31_t)0x629815fa, (q31_t)0x62941415,
+  (q31_t)0x629011f4, (q31_t)0x628c0f96, (q31_t)0x62880cfb, (q31_t)0x62840a23, (q31_t)0x6280070f, (q31_t)0x627c03be, (q31_t)0x62780030, (q31_t)0x6273fc65,
+  (q31_t)0x626ff85e, (q31_t)0x626bf41a, (q31_t)0x6267ef99, (q31_t)0x6263eadc, (q31_t)0x625fe5e1, (q31_t)0x625be0ab, (q31_t)0x6257db37, (q31_t)0x6253d587,
+  (q31_t)0x624fcf9a, (q31_t)0x624bc970, (q31_t)0x6247c30a, (q31_t)0x6243bc68, (q31_t)0x623fb588, (q31_t)0x623bae6c, (q31_t)0x6237a714, (q31_t)0x62339f7e,
+  (q31_t)0x622f97ad, (q31_t)0x622b8f9e, (q31_t)0x62278754, (q31_t)0x62237ecc, (q31_t)0x621f7608, (q31_t)0x621b6d08, (q31_t)0x621763cb, (q31_t)0x62135a51,
+  (q31_t)0x620f509b, (q31_t)0x620b46a9, (q31_t)0x62073c7a, (q31_t)0x6203320e, (q31_t)0x61ff2766, (q31_t)0x61fb1c82, (q31_t)0x61f71161, (q31_t)0x61f30604,
+  (q31_t)0x61eefa6b, (q31_t)0x61eaee95, (q31_t)0x61e6e282, (q31_t)0x61e2d633, (q31_t)0x61dec9a8, (q31_t)0x61dabce0, (q31_t)0x61d6afdd, (q31_t)0x61d2a29c,
+  (q31_t)0x61ce9520, (q31_t)0x61ca8767, (q31_t)0x61c67971, (q31_t)0x61c26b40, (q31_t)0x61be5cd2, (q31_t)0x61ba4e28, (q31_t)0x61b63f41, (q31_t)0x61b2301e,
+  (q31_t)0x61ae20bf, (q31_t)0x61aa1124, (q31_t)0x61a6014d, (q31_t)0x61a1f139, (q31_t)0x619de0e9, (q31_t)0x6199d05d, (q31_t)0x6195bf94, (q31_t)0x6191ae90,
+  (q31_t)0x618d9d4f, (q31_t)0x61898bd2, (q31_t)0x61857a19, (q31_t)0x61816824, (q31_t)0x617d55f2, (q31_t)0x61794385, (q31_t)0x617530db, (q31_t)0x61711df5,
+  (q31_t)0x616d0ad3, (q31_t)0x6168f775, (q31_t)0x6164e3db, (q31_t)0x6160d005, (q31_t)0x615cbbf3, (q31_t)0x6158a7a4, (q31_t)0x6154931a, (q31_t)0x61507e54,
+  (q31_t)0x614c6951, (q31_t)0x61485413, (q31_t)0x61443e98, (q31_t)0x614028e2, (q31_t)0x613c12f0, (q31_t)0x6137fcc1, (q31_t)0x6133e657, (q31_t)0x612fcfb0,
+  (q31_t)0x612bb8ce, (q31_t)0x6127a1b0, (q31_t)0x61238a56, (q31_t)0x611f72c0, (q31_t)0x611b5aee, (q31_t)0x611742e0, (q31_t)0x61132a96, (q31_t)0x610f1210,
+  (q31_t)0x610af94f, (q31_t)0x6106e051, (q31_t)0x6102c718, (q31_t)0x60feada3, (q31_t)0x60fa93f2, (q31_t)0x60f67a05, (q31_t)0x60f25fdd, (q31_t)0x60ee4579,
+  (q31_t)0x60ea2ad8, (q31_t)0x60e60ffd, (q31_t)0x60e1f4e5, (q31_t)0x60ddd991, (q31_t)0x60d9be02, (q31_t)0x60d5a237, (q31_t)0x60d18631, (q31_t)0x60cd69ee,
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+  (q31_t)0x60a8611b, (q31_t)0x60a44284, (q31_t)0x60a023b1, (q31_t)0x609c04a3, (q31_t)0x6097e559, (q31_t)0x6093c5d3, (q31_t)0x608fa612, (q31_t)0x608b8616,
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+  (q31_t)0x5dc57a16, (q31_t)0x5dc1331d, (q31_t)0x5dbcebeb, (q31_t)0x5db8a480, (q31_t)0x5db45cda, (q31_t)0x5db014fa, (q31_t)0x5dabcce1, (q31_t)0x5da7848e,
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+  (q31_t)0x5d19b37e, (q31_t)0x5d156385, (q31_t)0x5d111352, (q31_t)0x5d0cc2e5, (q31_t)0x5d087240, (q31_t)0x5d042161, (q31_t)0x5cffd048, (q31_t)0x5cfb7ef7,
+  (q31_t)0x5cf72d6b, (q31_t)0x5cf2dba7, (q31_t)0x5cee89a9, (q31_t)0x5cea3772, (q31_t)0x5ce5e501, (q31_t)0x5ce19258, (q31_t)0x5cdd3f75, (q31_t)0x5cd8ec58,
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+  (q31_t)0x5b77bd02, (q31_t)0x5b7357b0, (q31_t)0x5b6ef226, (q31_t)0x5b6a8c63, (q31_t)0x5b662668, (q31_t)0x5b61c035, (q31_t)0x5b5d59c9, (q31_t)0x5b58f324,
+  (q31_t)0x5b548c48, (q31_t)0x5b502533, (q31_t)0x5b4bbde6, (q31_t)0x5b475660, (q31_t)0x5b42eea2, (q31_t)0x5b3e86ac, (q31_t)0x5b3a1e7e, (q31_t)0x5b35b617,
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+  (q31_t)0x5aeaa5ad, (q31_t)0x5ae63953, (q31_t)0x5ae1ccc1, (q31_t)0x5add5ff7, (q31_t)0x5ad8f2f5, (q31_t)0x5ad485bb, (q31_t)0x5ad01849, (q31_t)0x5acbaa9f,
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+  (q31_t)0x5a390d35, (q31_t)0x5a349821, (q31_t)0x5a3022d5, (q31_t)0x5a2bad51, (q31_t)0x5a273796, (q31_t)0x5a22c1a3, (q31_t)0x5a1e4b79, (q31_t)0x5a19d517,
+  (q31_t)0x5a155e7d, (q31_t)0x5a10e7ac, (q31_t)0x5a0c70a3, (q31_t)0x5a07f963, (q31_t)0x5a0381eb, (q31_t)0x59ff0a3c, (q31_t)0x59fa9255, (q31_t)0x59f61a36,
+  (q31_t)0x59f1a1e0, (q31_t)0x59ed2953, (q31_t)0x59e8b08e, (q31_t)0x59e43792, (q31_t)0x59dfbe5e, (q31_t)0x59db44f3, (q31_t)0x59d6cb50, (q31_t)0x59d25176,
+  (q31_t)0x59cdd765, (q31_t)0x59c95d1c, (q31_t)0x59c4e29c, (q31_t)0x59c067e4, (q31_t)0x59bbecf5, (q31_t)0x59b771cf, (q31_t)0x59b2f671, (q31_t)0x59ae7add,
+  (q31_t)0x59a9ff10, (q31_t)0x59a5830d, (q31_t)0x59a106d2, (q31_t)0x599c8a60, (q31_t)0x59980db6, (q31_t)0x599390d5, (q31_t)0x598f13bd, (q31_t)0x598a966e,
+  (q31_t)0x598618e8, (q31_t)0x59819b2a, (q31_t)0x597d1d35, (q31_t)0x59789f09, (q31_t)0x597420a6, (q31_t)0x596fa20b, (q31_t)0x596b233a, (q31_t)0x5966a431,
+  (q31_t)0x596224f1, (q31_t)0x595da57a, (q31_t)0x595925cc, (q31_t)0x5954a5e6, (q31_t)0x595025ca, (q31_t)0x594ba576, (q31_t)0x594724ec, (q31_t)0x5942a42a,
+  (q31_t)0x593e2331, (q31_t)0x5939a202, (q31_t)0x5935209b, (q31_t)0x59309efd, (q31_t)0x592c1d28, (q31_t)0x59279b1c, (q31_t)0x592318d9, (q31_t)0x591e9660,
+  (q31_t)0x591a13af, (q31_t)0x591590c7, (q31_t)0x59110da8, (q31_t)0x590c8a53, (q31_t)0x590806c6, (q31_t)0x59038302, (q31_t)0x58feff08, (q31_t)0x58fa7ad7,
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+  (q31_t)0x58d1cb76, (q31_t)0x58cd4520, (q31_t)0x58c8be94, (q31_t)0x58c437d1, (q31_t)0x58bfb0d7, (q31_t)0x58bb29a6, (q31_t)0x58b6a23e, (q31_t)0x58b21aa0,
+  (q31_t)0x58ad92cb, (q31_t)0x58a90ac0, (q31_t)0x58a4827d, (q31_t)0x589ffa04, (q31_t)0x589b7155, (q31_t)0x5896e86f, (q31_t)0x58925f52, (q31_t)0x588dd5fe,
+  (q31_t)0x58894c74, (q31_t)0x5884c2b3, (q31_t)0x588038bb, (q31_t)0x587bae8d, (q31_t)0x58772429, (q31_t)0x5872998e, (q31_t)0x586e0ebc, (q31_t)0x586983b4,
+  (q31_t)0x5864f875, (q31_t)0x58606d00, (q31_t)0x585be154, (q31_t)0x58575571, (q31_t)0x5852c958, (q31_t)0x584e3d09, (q31_t)0x5849b083, (q31_t)0x584523c7,
+  (q31_t)0x584096d4, (q31_t)0x583c09ab, (q31_t)0x58377c4c, (q31_t)0x5832eeb6, (q31_t)0x582e60e9, (q31_t)0x5829d2e6, (q31_t)0x582544ad, (q31_t)0x5820b63e,
+  (q31_t)0x581c2798, (q31_t)0x581798bb, (q31_t)0x581309a9, (q31_t)0x580e7a60, (q31_t)0x5809eae1, (q31_t)0x58055b2b, (q31_t)0x5800cb3f, (q31_t)0x57fc3b1d,
+  (q31_t)0x57f7aac5, (q31_t)0x57f31a36, (q31_t)0x57ee8971, (q31_t)0x57e9f876, (q31_t)0x57e56744, (q31_t)0x57e0d5dd, (q31_t)0x57dc443f, (q31_t)0x57d7b26b,
+  (q31_t)0x57d32061, (q31_t)0x57ce8e20, (q31_t)0x57c9fbaa, (q31_t)0x57c568fd, (q31_t)0x57c0d61a, (q31_t)0x57bc4301, (q31_t)0x57b7afb2, (q31_t)0x57b31c2d,
+  (q31_t)0x57ae8872, (q31_t)0x57a9f480, (q31_t)0x57a56059, (q31_t)0x57a0cbfb, (q31_t)0x579c3768, (q31_t)0x5797a29e, (q31_t)0x57930d9e, (q31_t)0x578e7869,
+  (q31_t)0x5789e2fd, (q31_t)0x57854d5b, (q31_t)0x5780b784, (q31_t)0x577c2176, (q31_t)0x57778b32, (q31_t)0x5772f4b9, (q31_t)0x576e5e09, (q31_t)0x5769c724,
+  (q31_t)0x57653009, (q31_t)0x576098b7, (q31_t)0x575c0130, (q31_t)0x57576973, (q31_t)0x5752d180, (q31_t)0x574e3957, (q31_t)0x5749a0f9, (q31_t)0x57450864,
+  (q31_t)0x57406f9a, (q31_t)0x573bd69a, (q31_t)0x57373d64, (q31_t)0x5732a3f8, (q31_t)0x572e0a56, (q31_t)0x5729707f, (q31_t)0x5724d672, (q31_t)0x57203c2f,
+  (q31_t)0x571ba1b7, (q31_t)0x57170708, (q31_t)0x57126c24, (q31_t)0x570dd10a, (q31_t)0x570935bb, (q31_t)0x57049a36, (q31_t)0x56fffe7b, (q31_t)0x56fb628b,
+  (q31_t)0x56f6c664, (q31_t)0x56f22a09, (q31_t)0x56ed8d77, (q31_t)0x56e8f0b0, (q31_t)0x56e453b4, (q31_t)0x56dfb681, (q31_t)0x56db1919, (q31_t)0x56d67b7c,
+  (q31_t)0x56d1dda9, (q31_t)0x56cd3fa1, (q31_t)0x56c8a162, (q31_t)0x56c402ef, (q31_t)0x56bf6446, (q31_t)0x56bac567, (q31_t)0x56b62653, (q31_t)0x56b18709,
+  (q31_t)0x56ace78a, (q31_t)0x56a847d6, (q31_t)0x56a3a7ec, (q31_t)0x569f07cc, (q31_t)0x569a6777, (q31_t)0x5695c6ed, (q31_t)0x5691262d, (q31_t)0x568c8538,
+  (q31_t)0x5687e40e, (q31_t)0x568342ae, (q31_t)0x567ea118, (q31_t)0x5679ff4e, (q31_t)0x56755d4e, (q31_t)0x5670bb19, (q31_t)0x566c18ae, (q31_t)0x5667760e,
+  (q31_t)0x5662d339, (q31_t)0x565e302e, (q31_t)0x56598cee, (q31_t)0x5654e979, (q31_t)0x565045cf, (q31_t)0x564ba1f0, (q31_t)0x5646fddb, (q31_t)0x56425991,
+  (q31_t)0x563db512, (q31_t)0x5639105d, (q31_t)0x56346b74, (q31_t)0x562fc655, (q31_t)0x562b2101, (q31_t)0x56267b78, (q31_t)0x5621d5ba, (q31_t)0x561d2fc6,
+  (q31_t)0x5618899e, (q31_t)0x5613e340, (q31_t)0x560f3cae, (q31_t)0x560a95e6, (q31_t)0x5605eee9, (q31_t)0x560147b7, (q31_t)0x55fca050, (q31_t)0x55f7f8b4,
+  (q31_t)0x55f350e3, (q31_t)0x55eea8dd, (q31_t)0x55ea00a2, (q31_t)0x55e55832, (q31_t)0x55e0af8d, (q31_t)0x55dc06b3, (q31_t)0x55d75da4, (q31_t)0x55d2b460,
+  (q31_t)0x55ce0ae7, (q31_t)0x55c96139, (q31_t)0x55c4b757, (q31_t)0x55c00d3f, (q31_t)0x55bb62f3, (q31_t)0x55b6b871, (q31_t)0x55b20dbb, (q31_t)0x55ad62d0,
+  (q31_t)0x55a8b7b0, (q31_t)0x55a40c5b, (q31_t)0x559f60d1, (q31_t)0x559ab513, (q31_t)0x55960920, (q31_t)0x55915cf8, (q31_t)0x558cb09b, (q31_t)0x55880409,
+  (q31_t)0x55835743, (q31_t)0x557eaa48, (q31_t)0x5579fd18, (q31_t)0x55754fb3, (q31_t)0x5570a21a, (q31_t)0x556bf44c, (q31_t)0x55674649, (q31_t)0x55629812,
+  (q31_t)0x555de9a6, (q31_t)0x55593b05, (q31_t)0x55548c30, (q31_t)0x554fdd26, (q31_t)0x554b2de7, (q31_t)0x55467e74, (q31_t)0x5541cecc, (q31_t)0x553d1ef0,
+  (q31_t)0x55386edf, (q31_t)0x5533be99, (q31_t)0x552f0e1f, (q31_t)0x552a5d70, (q31_t)0x5525ac8d, (q31_t)0x5520fb75, (q31_t)0x551c4a29, (q31_t)0x551798a8,
+  (q31_t)0x5512e6f3, (q31_t)0x550e3509, (q31_t)0x550982eb, (q31_t)0x5504d099, (q31_t)0x55001e12, (q31_t)0x54fb6b56, (q31_t)0x54f6b866, (q31_t)0x54f20542,
+  (q31_t)0x54ed51e9, (q31_t)0x54e89e5c, (q31_t)0x54e3ea9a, (q31_t)0x54df36a5, (q31_t)0x54da827a, (q31_t)0x54d5ce1c, (q31_t)0x54d11989, (q31_t)0x54cc64c2,
+  (q31_t)0x54c7afc6, (q31_t)0x54c2fa96, (q31_t)0x54be4532, (q31_t)0x54b98f9a, (q31_t)0x54b4d9cd, (q31_t)0x54b023cc, (q31_t)0x54ab6d97, (q31_t)0x54a6b72e,
+  (q31_t)0x54a20090, (q31_t)0x549d49bf, (q31_t)0x549892b9, (q31_t)0x5493db7f, (q31_t)0x548f2410, (q31_t)0x548a6c6e, (q31_t)0x5485b497, (q31_t)0x5480fc8c,
+  (q31_t)0x547c444d, (q31_t)0x54778bda, (q31_t)0x5472d333, (q31_t)0x546e1a58, (q31_t)0x54696149, (q31_t)0x5464a805, (q31_t)0x545fee8e, (q31_t)0x545b34e3,
+  (q31_t)0x54567b03, (q31_t)0x5451c0f0, (q31_t)0x544d06a8, (q31_t)0x54484c2d, (q31_t)0x5443917d, (q31_t)0x543ed699, (q31_t)0x543a1b82, (q31_t)0x54356037,
+  (q31_t)0x5430a4b7, (q31_t)0x542be904, (q31_t)0x54272d1d, (q31_t)0x54227102, (q31_t)0x541db4b3, (q31_t)0x5418f830, (q31_t)0x54143b79, (q31_t)0x540f7e8e,
+  (q31_t)0x540ac170, (q31_t)0x5406041d, (q31_t)0x54014697, (q31_t)0x53fc88dd, (q31_t)0x53f7caef, (q31_t)0x53f30cce, (q31_t)0x53ee4e78, (q31_t)0x53e98fef,
+  (q31_t)0x53e4d132, (q31_t)0x53e01242, (q31_t)0x53db531d, (q31_t)0x53d693c5, (q31_t)0x53d1d439, (q31_t)0x53cd147a, (q31_t)0x53c85486, (q31_t)0x53c3945f,
+  (q31_t)0x53bed405, (q31_t)0x53ba1377, (q31_t)0x53b552b5, (q31_t)0x53b091bf, (q31_t)0x53abd096, (q31_t)0x53a70f39, (q31_t)0x53a24da9, (q31_t)0x539d8be5,
+  (q31_t)0x5398c9ed, (q31_t)0x539407c2, (q31_t)0x538f4564, (q31_t)0x538a82d1, (q31_t)0x5385c00c, (q31_t)0x5380fd12, (q31_t)0x537c39e6, (q31_t)0x53777685,
+  (q31_t)0x5372b2f2, (q31_t)0x536def2a, (q31_t)0x53692b30, (q31_t)0x53646701, (q31_t)0x535fa2a0, (q31_t)0x535ade0b, (q31_t)0x53561942, (q31_t)0x53515447,
+  (q31_t)0x534c8f17, (q31_t)0x5347c9b5, (q31_t)0x5343041f, (q31_t)0x533e3e55, (q31_t)0x53397859, (q31_t)0x5334b229, (q31_t)0x532febc5, (q31_t)0x532b252f,
+  (q31_t)0x53265e65, (q31_t)0x53219767, (q31_t)0x531cd037, (q31_t)0x531808d3, (q31_t)0x5313413c, (q31_t)0x530e7972, (q31_t)0x5309b174, (q31_t)0x5304e943,
+  (q31_t)0x530020df, (q31_t)0x52fb5848, (q31_t)0x52f68f7e, (q31_t)0x52f1c680, (q31_t)0x52ecfd4f, (q31_t)0x52e833ec, (q31_t)0x52e36a55, (q31_t)0x52dea08a,
+  (q31_t)0x52d9d68d, (q31_t)0x52d50c5d, (q31_t)0x52d041f9, (q31_t)0x52cb7763, (q31_t)0x52c6ac99, (q31_t)0x52c1e19d, (q31_t)0x52bd166d, (q31_t)0x52b84b0a,
+  (q31_t)0x52b37f74, (q31_t)0x52aeb3ac, (q31_t)0x52a9e7b0, (q31_t)0x52a51b81, (q31_t)0x52a04f1f, (q31_t)0x529b828a, (q31_t)0x5296b5c3, (q31_t)0x5291e8c8,
+  (q31_t)0x528d1b9b, (q31_t)0x52884e3a, (q31_t)0x528380a7, (q31_t)0x527eb2e0, (q31_t)0x5279e4e7, (q31_t)0x527516bb, (q31_t)0x5270485c, (q31_t)0x526b79ca,
+  (q31_t)0x5266ab06, (q31_t)0x5261dc0e, (q31_t)0x525d0ce4, (q31_t)0x52583d87, (q31_t)0x52536df7, (q31_t)0x524e9e34, (q31_t)0x5249ce3f, (q31_t)0x5244fe17,
+  (q31_t)0x52402dbc, (q31_t)0x523b5d2e, (q31_t)0x52368c6e, (q31_t)0x5231bb7b, (q31_t)0x522cea55, (q31_t)0x522818fc, (q31_t)0x52234771, (q31_t)0x521e75b3,
+  (q31_t)0x5219a3c3, (q31_t)0x5214d1a0, (q31_t)0x520fff4a, (q31_t)0x520b2cc2, (q31_t)0x52065a07, (q31_t)0x52018719, (q31_t)0x51fcb3f9, (q31_t)0x51f7e0a6,
+  (q31_t)0x51f30d21, (q31_t)0x51ee3969, (q31_t)0x51e9657e, (q31_t)0x51e49162, (q31_t)0x51dfbd12, (q31_t)0x51dae890, (q31_t)0x51d613dc, (q31_t)0x51d13ef5,
+  (q31_t)0x51cc69db, (q31_t)0x51c79490, (q31_t)0x51c2bf11, (q31_t)0x51bde960, (q31_t)0x51b9137d, (q31_t)0x51b43d68, (q31_t)0x51af6720, (q31_t)0x51aa90a5,
+  (q31_t)0x51a5b9f9, (q31_t)0x51a0e31a, (q31_t)0x519c0c08, (q31_t)0x519734c4, (q31_t)0x51925d4e, (q31_t)0x518d85a6, (q31_t)0x5188adcb, (q31_t)0x5183d5be,
+  (q31_t)0x517efd7f, (q31_t)0x517a250d, (q31_t)0x51754c69, (q31_t)0x51707393, (q31_t)0x516b9a8b, (q31_t)0x5166c150, (q31_t)0x5161e7e4, (q31_t)0x515d0e45,
+  (q31_t)0x51583473, (q31_t)0x51535a70, (q31_t)0x514e803b, (q31_t)0x5149a5d3, (q31_t)0x5144cb39, (q31_t)0x513ff06d, (q31_t)0x513b156f, (q31_t)0x51363a3f,
+  (q31_t)0x51315edd, (q31_t)0x512c8348, (q31_t)0x5127a782, (q31_t)0x5122cb8a, (q31_t)0x511def5f, (q31_t)0x51191302, (q31_t)0x51143674, (q31_t)0x510f59b3,
+  (q31_t)0x510a7cc1, (q31_t)0x51059f9c, (q31_t)0x5100c246, (q31_t)0x50fbe4bd, (q31_t)0x50f70703, (q31_t)0x50f22916, (q31_t)0x50ed4af8, (q31_t)0x50e86ca8,
+  (q31_t)0x50e38e25, (q31_t)0x50deaf71, (q31_t)0x50d9d08b, (q31_t)0x50d4f173, (q31_t)0x50d0122a, (q31_t)0x50cb32ae, (q31_t)0x50c65301, (q31_t)0x50c17322,
+  (q31_t)0x50bc9311, (q31_t)0x50b7b2ce, (q31_t)0x50b2d259, (q31_t)0x50adf1b3, (q31_t)0x50a910db, (q31_t)0x50a42fd1, (q31_t)0x509f4e95, (q31_t)0x509a6d28,
+  (q31_t)0x50958b88, (q31_t)0x5090a9b8, (q31_t)0x508bc7b5, (q31_t)0x5086e581, (q31_t)0x5082031b, (q31_t)0x507d2083, (q31_t)0x50783dba, (q31_t)0x50735abf,
+  (q31_t)0x506e7793, (q31_t)0x50699435, (q31_t)0x5064b0a5, (q31_t)0x505fcce4, (q31_t)0x505ae8f1, (q31_t)0x505604cd, (q31_t)0x50512077, (q31_t)0x504c3bef,
+  (q31_t)0x50475736, (q31_t)0x5042724c, (q31_t)0x503d8d30, (q31_t)0x5038a7e2, (q31_t)0x5033c263, (q31_t)0x502edcb2, (q31_t)0x5029f6d1, (q31_t)0x502510bd,
+  (q31_t)0x50202a78, (q31_t)0x501b4402, (q31_t)0x50165d5a, (q31_t)0x50117681, (q31_t)0x500c8f77, (q31_t)0x5007a83b, (q31_t)0x5002c0cd, (q31_t)0x4ffdd92f,
+  (q31_t)0x4ff8f15f, (q31_t)0x4ff4095e, (q31_t)0x4fef212b, (q31_t)0x4fea38c7, (q31_t)0x4fe55032, (q31_t)0x4fe0676c, (q31_t)0x4fdb7e74, (q31_t)0x4fd6954b,
+  (q31_t)0x4fd1abf0, (q31_t)0x4fccc265, (q31_t)0x4fc7d8a8, (q31_t)0x4fc2eeba, (q31_t)0x4fbe049b, (q31_t)0x4fb91a4b, (q31_t)0x4fb42fc9, (q31_t)0x4faf4517,
+  (q31_t)0x4faa5a33, (q31_t)0x4fa56f1e, (q31_t)0x4fa083d8, (q31_t)0x4f9b9861, (q31_t)0x4f96acb8, (q31_t)0x4f91c0df, (q31_t)0x4f8cd4d4, (q31_t)0x4f87e899,
+  (q31_t)0x4f82fc2c, (q31_t)0x4f7e0f8f, (q31_t)0x4f7922c0, (q31_t)0x4f7435c0, (q31_t)0x4f6f488f, (q31_t)0x4f6a5b2e, (q31_t)0x4f656d9b, (q31_t)0x4f607fd7,
+  (q31_t)0x4f5b91e3, (q31_t)0x4f56a3bd, (q31_t)0x4f51b566, (q31_t)0x4f4cc6df, (q31_t)0x4f47d827, (q31_t)0x4f42e93d, (q31_t)0x4f3dfa23, (q31_t)0x4f390ad8,
+  (q31_t)0x4f341b5c, (q31_t)0x4f2f2baf, (q31_t)0x4f2a3bd2, (q31_t)0x4f254bc3, (q31_t)0x4f205b84, (q31_t)0x4f1b6b14, (q31_t)0x4f167a73, (q31_t)0x4f1189a1,
+  (q31_t)0x4f0c989f, (q31_t)0x4f07a76b, (q31_t)0x4f02b608, (q31_t)0x4efdc473, (q31_t)0x4ef8d2ad, (q31_t)0x4ef3e0b7, (q31_t)0x4eeeee90, (q31_t)0x4ee9fc39,
+  (q31_t)0x4ee509b1, (q31_t)0x4ee016f8, (q31_t)0x4edb240e, (q31_t)0x4ed630f4, (q31_t)0x4ed13da9, (q31_t)0x4ecc4a2e, (q31_t)0x4ec75682, (q31_t)0x4ec262a5,
+  (q31_t)0x4ebd6e98, (q31_t)0x4eb87a5a, (q31_t)0x4eb385ec, (q31_t)0x4eae914d, (q31_t)0x4ea99c7d, (q31_t)0x4ea4a77d, (q31_t)0x4e9fb24d, (q31_t)0x4e9abcec,
+  (q31_t)0x4e95c75b, (q31_t)0x4e90d199, (q31_t)0x4e8bdba6, (q31_t)0x4e86e583, (q31_t)0x4e81ef30, (q31_t)0x4e7cf8ac, (q31_t)0x4e7801f8, (q31_t)0x4e730b14,
+  (q31_t)0x4e6e13ff, (q31_t)0x4e691cba, (q31_t)0x4e642544, (q31_t)0x4e5f2d9e, (q31_t)0x4e5a35c7, (q31_t)0x4e553dc1, (q31_t)0x4e50458a, (q31_t)0x4e4b4d22,
+  (q31_t)0x4e46548b, (q31_t)0x4e415bc3, (q31_t)0x4e3c62cb, (q31_t)0x4e3769a2, (q31_t)0x4e32704a, (q31_t)0x4e2d76c1, (q31_t)0x4e287d08, (q31_t)0x4e23831e,
+  (q31_t)0x4e1e8905, (q31_t)0x4e198ebb, (q31_t)0x4e149441, (q31_t)0x4e0f9997, (q31_t)0x4e0a9ebd, (q31_t)0x4e05a3b2, (q31_t)0x4e00a878, (q31_t)0x4dfbad0d,
+  (q31_t)0x4df6b173, (q31_t)0x4df1b5a8, (q31_t)0x4decb9ad, (q31_t)0x4de7bd82, (q31_t)0x4de2c127, (q31_t)0x4dddc49c, (q31_t)0x4dd8c7e1, (q31_t)0x4dd3caf6,
+  (q31_t)0x4dcecdda, (q31_t)0x4dc9d08f, (q31_t)0x4dc4d314, (q31_t)0x4dbfd569, (q31_t)0x4dbad78e, (q31_t)0x4db5d983, (q31_t)0x4db0db48, (q31_t)0x4dabdcdd,
+  (q31_t)0x4da6de43, (q31_t)0x4da1df78, (q31_t)0x4d9ce07d, (q31_t)0x4d97e153, (q31_t)0x4d92e1f9, (q31_t)0x4d8de26f, (q31_t)0x4d88e2b5, (q31_t)0x4d83e2cb,
+  (q31_t)0x4d7ee2b1, (q31_t)0x4d79e268, (q31_t)0x4d74e1ef, (q31_t)0x4d6fe146, (q31_t)0x4d6ae06d, (q31_t)0x4d65df64, (q31_t)0x4d60de2c, (q31_t)0x4d5bdcc4,
+  (q31_t)0x4d56db2d, (q31_t)0x4d51d965, (q31_t)0x4d4cd76e, (q31_t)0x4d47d547, (q31_t)0x4d42d2f1, (q31_t)0x4d3dd06b, (q31_t)0x4d38cdb5, (q31_t)0x4d33cad0,
+  (q31_t)0x4d2ec7bb, (q31_t)0x4d29c476, (q31_t)0x4d24c102, (q31_t)0x4d1fbd5e, (q31_t)0x4d1ab98b, (q31_t)0x4d15b588, (q31_t)0x4d10b155, (q31_t)0x4d0bacf3,
+  (q31_t)0x4d06a862, (q31_t)0x4d01a3a0, (q31_t)0x4cfc9eb0, (q31_t)0x4cf79990, (q31_t)0x4cf29440, (q31_t)0x4ced8ec1, (q31_t)0x4ce88913, (q31_t)0x4ce38335,
+  (q31_t)0x4cde7d28, (q31_t)0x4cd976eb, (q31_t)0x4cd4707f, (q31_t)0x4ccf69e3, (q31_t)0x4cca6318, (q31_t)0x4cc55c1e, (q31_t)0x4cc054f4, (q31_t)0x4cbb4d9b,
+  (q31_t)0x4cb64613, (q31_t)0x4cb13e5b, (q31_t)0x4cac3674, (q31_t)0x4ca72e5e, (q31_t)0x4ca22619, (q31_t)0x4c9d1da4, (q31_t)0x4c981500, (q31_t)0x4c930c2d,
+  (q31_t)0x4c8e032a, (q31_t)0x4c88f9f8, (q31_t)0x4c83f097, (q31_t)0x4c7ee707, (q31_t)0x4c79dd48, (q31_t)0x4c74d359, (q31_t)0x4c6fc93b, (q31_t)0x4c6abeef,
+  (q31_t)0x4c65b473, (q31_t)0x4c60a9c8, (q31_t)0x4c5b9eed, (q31_t)0x4c5693e4, (q31_t)0x4c5188ac, (q31_t)0x4c4c7d44, (q31_t)0x4c4771ae, (q31_t)0x4c4265e8,
+  (q31_t)0x4c3d59f3, (q31_t)0x4c384dd0, (q31_t)0x4c33417d, (q31_t)0x4c2e34fb, (q31_t)0x4c29284b, (q31_t)0x4c241b6b, (q31_t)0x4c1f0e5c, (q31_t)0x4c1a011f,
+  (q31_t)0x4c14f3b2, (q31_t)0x4c0fe617, (q31_t)0x4c0ad84c, (q31_t)0x4c05ca53, (q31_t)0x4c00bc2b, (q31_t)0x4bfbadd4, (q31_t)0x4bf69f4e, (q31_t)0x4bf19099,
+  (q31_t)0x4bec81b5, (q31_t)0x4be772a3, (q31_t)0x4be26362, (q31_t)0x4bdd53f2, (q31_t)0x4bd84453, (q31_t)0x4bd33485, (q31_t)0x4bce2488, (q31_t)0x4bc9145d,
+  (q31_t)0x4bc40403, (q31_t)0x4bbef37b, (q31_t)0x4bb9e2c3, (q31_t)0x4bb4d1dd, (q31_t)0x4bafc0c8, (q31_t)0x4baaaf85, (q31_t)0x4ba59e12, (q31_t)0x4ba08c72,
+  (q31_t)0x4b9b7aa2, (q31_t)0x4b9668a4, (q31_t)0x4b915677, (q31_t)0x4b8c441c, (q31_t)0x4b873192, (q31_t)0x4b821ed9, (q31_t)0x4b7d0bf2, (q31_t)0x4b77f8dc,
+  (q31_t)0x4b72e598, (q31_t)0x4b6dd225, (q31_t)0x4b68be84, (q31_t)0x4b63aab4, (q31_t)0x4b5e96b6, (q31_t)0x4b598289, (q31_t)0x4b546e2d, (q31_t)0x4b4f59a4,
+  (q31_t)0x4b4a44eb, (q31_t)0x4b453005, (q31_t)0x4b401aef, (q31_t)0x4b3b05ac, (q31_t)0x4b35f03a, (q31_t)0x4b30da9a, (q31_t)0x4b2bc4cb, (q31_t)0x4b26aece,
+  (q31_t)0x4b2198a2, (q31_t)0x4b1c8248, (q31_t)0x4b176bc0, (q31_t)0x4b12550a, (q31_t)0x4b0d3e25, (q31_t)0x4b082712, (q31_t)0x4b030fd1, (q31_t)0x4afdf861,
+  (q31_t)0x4af8e0c3, (q31_t)0x4af3c8f7, (q31_t)0x4aeeb0fd, (q31_t)0x4ae998d4, (q31_t)0x4ae4807d, (q31_t)0x4adf67f8, (q31_t)0x4ada4f45, (q31_t)0x4ad53664,
+  (q31_t)0x4ad01d54, (q31_t)0x4acb0417, (q31_t)0x4ac5eaab, (q31_t)0x4ac0d111, (q31_t)0x4abbb749, (q31_t)0x4ab69d53, (q31_t)0x4ab1832f, (q31_t)0x4aac68dc,
+  (q31_t)0x4aa74e5c, (q31_t)0x4aa233ae, (q31_t)0x4a9d18d1, (q31_t)0x4a97fdc7, (q31_t)0x4a92e28e, (q31_t)0x4a8dc728, (q31_t)0x4a88ab93, (q31_t)0x4a838fd1,
+  (q31_t)0x4a7e73e0, (q31_t)0x4a7957c2, (q31_t)0x4a743b76, (q31_t)0x4a6f1efc, (q31_t)0x4a6a0253, (q31_t)0x4a64e57d, (q31_t)0x4a5fc879, (q31_t)0x4a5aab48,
+  (q31_t)0x4a558de8, (q31_t)0x4a50705a, (q31_t)0x4a4b529f, (q31_t)0x4a4634b6, (q31_t)0x4a41169f, (q31_t)0x4a3bf85a, (q31_t)0x4a36d9e7, (q31_t)0x4a31bb47,
+  (q31_t)0x4a2c9c79, (q31_t)0x4a277d7d, (q31_t)0x4a225e53, (q31_t)0x4a1d3efc, (q31_t)0x4a181f77, (q31_t)0x4a12ffc4, (q31_t)0x4a0ddfe4, (q31_t)0x4a08bfd5,
+  (q31_t)0x4a039f9a, (q31_t)0x49fe7f30, (q31_t)0x49f95e99, (q31_t)0x49f43dd4, (q31_t)0x49ef1ce2, (q31_t)0x49e9fbc2, (q31_t)0x49e4da74, (q31_t)0x49dfb8f9,
+  (q31_t)0x49da9750, (q31_t)0x49d5757a, (q31_t)0x49d05376, (q31_t)0x49cb3145, (q31_t)0x49c60ee6, (q31_t)0x49c0ec59, (q31_t)0x49bbc9a0, (q31_t)0x49b6a6b8,
+  (q31_t)0x49b183a3, (q31_t)0x49ac6061, (q31_t)0x49a73cf1, (q31_t)0x49a21954, (q31_t)0x499cf589, (q31_t)0x4997d191, (q31_t)0x4992ad6c, (q31_t)0x498d8919,
+  (q31_t)0x49886499, (q31_t)0x49833fec, (q31_t)0x497e1b11, (q31_t)0x4978f609, (q31_t)0x4973d0d3, (q31_t)0x496eab70, (q31_t)0x496985e0, (q31_t)0x49646023,
+  (q31_t)0x495f3a38, (q31_t)0x495a1420, (q31_t)0x4954eddb, (q31_t)0x494fc768, (q31_t)0x494aa0c9, (q31_t)0x494579fc, (q31_t)0x49405302, (q31_t)0x493b2bdb,
+  (q31_t)0x49360486, (q31_t)0x4930dd05, (q31_t)0x492bb556, (q31_t)0x49268d7a, (q31_t)0x49216571, (q31_t)0x491c3d3b, (q31_t)0x491714d8, (q31_t)0x4911ec47,
+  (q31_t)0x490cc38a, (q31_t)0x49079aa0, (q31_t)0x49027188, (q31_t)0x48fd4844, (q31_t)0x48f81ed2, (q31_t)0x48f2f534, (q31_t)0x48edcb68, (q31_t)0x48e8a170,
+  (q31_t)0x48e3774a, (q31_t)0x48de4cf8, (q31_t)0x48d92278, (q31_t)0x48d3f7cc, (q31_t)0x48ceccf3, (q31_t)0x48c9a1ed, (q31_t)0x48c476b9, (q31_t)0x48bf4b59,
+  (q31_t)0x48ba1fcd, (q31_t)0x48b4f413, (q31_t)0x48afc82c, (q31_t)0x48aa9c19, (q31_t)0x48a56fd9, (q31_t)0x48a0436c, (q31_t)0x489b16d2, (q31_t)0x4895ea0b,
+  (q31_t)0x4890bd18, (q31_t)0x488b8ff8, (q31_t)0x488662ab, (q31_t)0x48813531, (q31_t)0x487c078b, (q31_t)0x4876d9b8, (q31_t)0x4871abb8, (q31_t)0x486c7d8c,
+  (q31_t)0x48674f33, (q31_t)0x486220ad, (q31_t)0x485cf1fa, (q31_t)0x4857c31b, (q31_t)0x48529410, (q31_t)0x484d64d7, (q31_t)0x48483572, (q31_t)0x484305e1,
+  (q31_t)0x483dd623, (q31_t)0x4838a638, (q31_t)0x48337621, (q31_t)0x482e45dd, (q31_t)0x4829156d, (q31_t)0x4823e4d0, (q31_t)0x481eb407, (q31_t)0x48198311,
+  (q31_t)0x481451ef, (q31_t)0x480f20a0, (q31_t)0x4809ef25, (q31_t)0x4804bd7e, (q31_t)0x47ff8baa, (q31_t)0x47fa59a9, (q31_t)0x47f5277d, (q31_t)0x47eff523,
+  (q31_t)0x47eac29e, (q31_t)0x47e58fec, (q31_t)0x47e05d0e, (q31_t)0x47db2a03, (q31_t)0x47d5f6cc, (q31_t)0x47d0c369, (q31_t)0x47cb8fd9, (q31_t)0x47c65c1d,
+  (q31_t)0x47c12835, (q31_t)0x47bbf421, (q31_t)0x47b6bfe0, (q31_t)0x47b18b74, (q31_t)0x47ac56da, (q31_t)0x47a72215, (q31_t)0x47a1ed24, (q31_t)0x479cb806,
+  (q31_t)0x479782bc, (q31_t)0x47924d46, (q31_t)0x478d17a4, (q31_t)0x4787e1d6, (q31_t)0x4782abdb, (q31_t)0x477d75b5, (q31_t)0x47783f62, (q31_t)0x477308e3,
+  (q31_t)0x476dd239, (q31_t)0x47689b62, (q31_t)0x4763645f, (q31_t)0x475e2d30, (q31_t)0x4758f5d5, (q31_t)0x4753be4e, (q31_t)0x474e869b, (q31_t)0x47494ebc,
+  (q31_t)0x474416b1, (q31_t)0x473ede7a, (q31_t)0x4739a617, (q31_t)0x47346d89, (q31_t)0x472f34ce, (q31_t)0x4729fbe7, (q31_t)0x4724c2d5, (q31_t)0x471f8996,
+  (q31_t)0x471a502c, (q31_t)0x47151696, (q31_t)0x470fdcd4, (q31_t)0x470aa2e6, (q31_t)0x470568cd, (q31_t)0x47002e87, (q31_t)0x46faf416, (q31_t)0x46f5b979,
+  (q31_t)0x46f07eb0, (q31_t)0x46eb43bc, (q31_t)0x46e6089b, (q31_t)0x46e0cd4f, (q31_t)0x46db91d8, (q31_t)0x46d65634, (q31_t)0x46d11a65, (q31_t)0x46cbde6a,
+  (q31_t)0x46c6a244, (q31_t)0x46c165f1, (q31_t)0x46bc2974, (q31_t)0x46b6ecca, (q31_t)0x46b1aff5, (q31_t)0x46ac72f4, (q31_t)0x46a735c8, (q31_t)0x46a1f870,
+  (q31_t)0x469cbaed, (q31_t)0x46977d3e, (q31_t)0x46923f63, (q31_t)0x468d015d, (q31_t)0x4687c32c, (q31_t)0x468284cf, (q31_t)0x467d4646, (q31_t)0x46780792,
+  (q31_t)0x4672c8b3, (q31_t)0x466d89a8, (q31_t)0x46684a71, (q31_t)0x46630b0f, (q31_t)0x465dcb82, (q31_t)0x46588bc9, (q31_t)0x46534be5, (q31_t)0x464e0bd6,
+  (q31_t)0x4648cb9b, (q31_t)0x46438b35, (q31_t)0x463e4aa3, (q31_t)0x463909e7, (q31_t)0x4633c8fe, (q31_t)0x462e87eb, (q31_t)0x462946ac, (q31_t)0x46240542,
+  (q31_t)0x461ec3ad, (q31_t)0x461981ec, (q31_t)0x46144001, (q31_t)0x460efde9, (q31_t)0x4609bba7, (q31_t)0x4604793a, (q31_t)0x45ff36a1, (q31_t)0x45f9f3dd,
+  (q31_t)0x45f4b0ee, (q31_t)0x45ef6dd4, (q31_t)0x45ea2a8f, (q31_t)0x45e4e71f, (q31_t)0x45dfa383, (q31_t)0x45da5fbc, (q31_t)0x45d51bcb, (q31_t)0x45cfd7ae,
+  (q31_t)0x45ca9366, (q31_t)0x45c54ef3, (q31_t)0x45c00a55, (q31_t)0x45bac58c, (q31_t)0x45b58098, (q31_t)0x45b03b79, (q31_t)0x45aaf630, (q31_t)0x45a5b0bb,
+  (q31_t)0x45a06b1b, (q31_t)0x459b2550, (q31_t)0x4595df5a, (q31_t)0x45909939, (q31_t)0x458b52ee, (q31_t)0x45860c77, (q31_t)0x4580c5d6, (q31_t)0x457b7f0a,
+  (q31_t)0x45763813, (q31_t)0x4570f0f1, (q31_t)0x456ba9a4, (q31_t)0x4566622c, (q31_t)0x45611a8a, (q31_t)0x455bd2bc, (q31_t)0x45568ac4, (q31_t)0x455142a2,
+  (q31_t)0x454bfa54, (q31_t)0x4546b1dc, (q31_t)0x45416939, (q31_t)0x453c206b, (q31_t)0x4536d773, (q31_t)0x45318e4f, (q31_t)0x452c4502, (q31_t)0x4526fb89,
+  (q31_t)0x4521b1e6, (q31_t)0x451c6818, (q31_t)0x45171e20, (q31_t)0x4511d3fd, (q31_t)0x450c89af, (q31_t)0x45073f37, (q31_t)0x4501f494, (q31_t)0x44fca9c6,
+  (q31_t)0x44f75ecf, (q31_t)0x44f213ac, (q31_t)0x44ecc85f, (q31_t)0x44e77ce7, (q31_t)0x44e23145, (q31_t)0x44dce579, (q31_t)0x44d79982, (q31_t)0x44d24d60,
+  (q31_t)0x44cd0114, (q31_t)0x44c7b49e, (q31_t)0x44c267fd, (q31_t)0x44bd1b32, (q31_t)0x44b7ce3c, (q31_t)0x44b2811c, (q31_t)0x44ad33d2, (q31_t)0x44a7e65d,
+  (q31_t)0x44a298be, (q31_t)0x449d4af5, (q31_t)0x4497fd01, (q31_t)0x4492aee3, (q31_t)0x448d609b, (q31_t)0x44881228, (q31_t)0x4482c38b, (q31_t)0x447d74c4,
+  (q31_t)0x447825d2, (q31_t)0x4472d6b7, (q31_t)0x446d8771, (q31_t)0x44683801, (q31_t)0x4462e866, (q31_t)0x445d98a2, (q31_t)0x445848b3, (q31_t)0x4452f89b,
+  (q31_t)0x444da858, (q31_t)0x444857ea, (q31_t)0x44430753, (q31_t)0x443db692, (q31_t)0x443865a7, (q31_t)0x44331491, (q31_t)0x442dc351, (q31_t)0x442871e8,
+  (q31_t)0x44232054, (q31_t)0x441dce96, (q31_t)0x44187caf, (q31_t)0x44132a9d, (q31_t)0x440dd861, (q31_t)0x440885fc, (q31_t)0x4403336c, (q31_t)0x43fde0b2,
+  (q31_t)0x43f88dcf, (q31_t)0x43f33ac1, (q31_t)0x43ede78a, (q31_t)0x43e89429, (q31_t)0x43e3409d, (q31_t)0x43ddece8, (q31_t)0x43d8990a, (q31_t)0x43d34501,
+  (q31_t)0x43cdf0ce, (q31_t)0x43c89c72, (q31_t)0x43c347eb, (q31_t)0x43bdf33b, (q31_t)0x43b89e62, (q31_t)0x43b3495e, (q31_t)0x43adf431, (q31_t)0x43a89ed9,
+  (q31_t)0x43a34959, (q31_t)0x439df3ae, (q31_t)0x43989dda, (q31_t)0x439347dc, (q31_t)0x438df1b4, (q31_t)0x43889b63, (q31_t)0x438344e8, (q31_t)0x437dee43,
+  (q31_t)0x43789775, (q31_t)0x4373407d, (q31_t)0x436de95b, (q31_t)0x43689210, (q31_t)0x43633a9c, (q31_t)0x435de2fd, (q31_t)0x43588b36, (q31_t)0x43533344,
+  (q31_t)0x434ddb29, (q31_t)0x434882e5, (q31_t)0x43432a77, (q31_t)0x433dd1e0, (q31_t)0x4338791f, (q31_t)0x43332035, (q31_t)0x432dc721, (q31_t)0x43286de4,
+  (q31_t)0x4323147d, (q31_t)0x431dbaed, (q31_t)0x43186133, (q31_t)0x43130751, (q31_t)0x430dad44, (q31_t)0x4308530f, (q31_t)0x4302f8b0, (q31_t)0x42fd9e28,
+  (q31_t)0x42f84376, (q31_t)0x42f2e89b, (q31_t)0x42ed8d97, (q31_t)0x42e83269, (q31_t)0x42e2d713, (q31_t)0x42dd7b93, (q31_t)0x42d81fe9, (q31_t)0x42d2c417,
+  (q31_t)0x42cd681b, (q31_t)0x42c80bf6, (q31_t)0x42c2afa8, (q31_t)0x42bd5331, (q31_t)0x42b7f690, (q31_t)0x42b299c7, (q31_t)0x42ad3cd4, (q31_t)0x42a7dfb8,
+  (q31_t)0x42a28273, (q31_t)0x429d2505, (q31_t)0x4297c76e, (q31_t)0x429269ae, (q31_t)0x428d0bc4, (q31_t)0x4287adb2, (q31_t)0x42824f76, (q31_t)0x427cf112,
+  (q31_t)0x42779285, (q31_t)0x427233ce, (q31_t)0x426cd4ef, (q31_t)0x426775e6, (q31_t)0x426216b5, (q31_t)0x425cb75a, (q31_t)0x425757d7, (q31_t)0x4251f82b,
+  (q31_t)0x424c9856, (q31_t)0x42473858, (q31_t)0x4241d831, (q31_t)0x423c77e1, (q31_t)0x42371769, (q31_t)0x4231b6c7, (q31_t)0x422c55fd, (q31_t)0x4226f50a,
+  (q31_t)0x422193ee, (q31_t)0x421c32a9, (q31_t)0x4216d13c, (q31_t)0x42116fa5, (q31_t)0x420c0de6, (q31_t)0x4206abfe, (q31_t)0x420149ee, (q31_t)0x41fbe7b5,
+  (q31_t)0x41f68553, (q31_t)0x41f122c8, (q31_t)0x41ebc015, (q31_t)0x41e65d39, (q31_t)0x41e0fa35, (q31_t)0x41db9707, (q31_t)0x41d633b1, (q31_t)0x41d0d033,
+  (q31_t)0x41cb6c8c, (q31_t)0x41c608bc, (q31_t)0x41c0a4c4, (q31_t)0x41bb40a3, (q31_t)0x41b5dc5a, (q31_t)0x41b077e8, (q31_t)0x41ab134e, (q31_t)0x41a5ae8b,
+  (q31_t)0x41a049a0, (q31_t)0x419ae48c, (q31_t)0x41957f4f, (q31_t)0x419019eb, (q31_t)0x418ab45d, (q31_t)0x41854ea8, (q31_t)0x417fe8ca, (q31_t)0x417a82c3,
+  (q31_t)0x41751c94, (q31_t)0x416fb63d, (q31_t)0x416a4fbd, (q31_t)0x4164e916, (q31_t)0x415f8245, (q31_t)0x415a1b4d, (q31_t)0x4154b42c, (q31_t)0x414f4ce2,
+  (q31_t)0x4149e571, (q31_t)0x41447dd7, (q31_t)0x413f1615, (q31_t)0x4139ae2b, (q31_t)0x41344618, (q31_t)0x412edddd, (q31_t)0x4129757b, (q31_t)0x41240cef,
+  (q31_t)0x411ea43c, (q31_t)0x41193b61, (q31_t)0x4113d25d, (q31_t)0x410e6931, (q31_t)0x4108ffdd, (q31_t)0x41039661, (q31_t)0x40fe2cbd, (q31_t)0x40f8c2f1,
+  (q31_t)0x40f358fc, (q31_t)0x40edeee0, (q31_t)0x40e8849b, (q31_t)0x40e31a2f, (q31_t)0x40ddaf9b, (q31_t)0x40d844de, (q31_t)0x40d2d9f9, (q31_t)0x40cd6eed,
+  (q31_t)0x40c803b8, (q31_t)0x40c2985c, (q31_t)0x40bd2cd8, (q31_t)0x40b7c12b, (q31_t)0x40b25557, (q31_t)0x40ace95b, (q31_t)0x40a77d37, (q31_t)0x40a210eb,
+  (q31_t)0x409ca477, (q31_t)0x409737dc, (q31_t)0x4091cb18, (q31_t)0x408c5e2d, (q31_t)0x4086f11a, (q31_t)0x408183df, (q31_t)0x407c167c, (q31_t)0x4076a8f1,
+  (q31_t)0x40713b3f, (q31_t)0x406bcd65, (q31_t)0x40665f63, (q31_t)0x4060f13a, (q31_t)0x405b82e9, (q31_t)0x40561470, (q31_t)0x4050a5cf, (q31_t)0x404b3707,
+  (q31_t)0x4045c817, (q31_t)0x404058ff, (q31_t)0x403ae9c0, (q31_t)0x40357a59, (q31_t)0x40300acb, (q31_t)0x402a9b15, (q31_t)0x40252b37, (q31_t)0x401fbb32,
+  (q31_t)0x401a4b05, (q31_t)0x4014dab1, (q31_t)0x400f6a35, (q31_t)0x4009f992, (q31_t)0x400488c7, (q31_t)0x3fff17d5, (q31_t)0x3ff9a6bb, (q31_t)0x3ff4357a,
+  (q31_t)0x3feec411, (q31_t)0x3fe95281, (q31_t)0x3fe3e0c9, (q31_t)0x3fde6eeb, (q31_t)0x3fd8fce4, (q31_t)0x3fd38ab6, (q31_t)0x3fce1861, (q31_t)0x3fc8a5e5,
+  (q31_t)0x3fc33341, (q31_t)0x3fbdc076, (q31_t)0x3fb84d83, (q31_t)0x3fb2da6a, (q31_t)0x3fad6729, (q31_t)0x3fa7f3c0, (q31_t)0x3fa28031, (q31_t)0x3f9d0c7a,
+  (q31_t)0x3f97989c, (q31_t)0x3f922496, (q31_t)0x3f8cb06a, (q31_t)0x3f873c16, (q31_t)0x3f81c79b, (q31_t)0x3f7c52f9, (q31_t)0x3f76de30, (q31_t)0x3f71693f,
+  (q31_t)0x3f6bf428, (q31_t)0x3f667ee9, (q31_t)0x3f610983, (q31_t)0x3f5b93f6, (q31_t)0x3f561e42, (q31_t)0x3f50a867, (q31_t)0x3f4b3265, (q31_t)0x3f45bc3c,
+  (q31_t)0x3f4045ec, (q31_t)0x3f3acf75, (q31_t)0x3f3558d7, (q31_t)0x3f2fe211, (q31_t)0x3f2a6b25, (q31_t)0x3f24f412, (q31_t)0x3f1f7cd8, (q31_t)0x3f1a0577,
+  (q31_t)0x3f148def, (q31_t)0x3f0f1640, (q31_t)0x3f099e6b, (q31_t)0x3f04266e, (q31_t)0x3efeae4a, (q31_t)0x3ef93600, (q31_t)0x3ef3bd8f, (q31_t)0x3eee44f7,
+  (q31_t)0x3ee8cc38, (q31_t)0x3ee35352, (q31_t)0x3eddda46, (q31_t)0x3ed86113, (q31_t)0x3ed2e7b9, (q31_t)0x3ecd6e38, (q31_t)0x3ec7f491, (q31_t)0x3ec27ac2,
+  (q31_t)0x3ebd00cd, (q31_t)0x3eb786b2, (q31_t)0x3eb20c6f, (q31_t)0x3eac9206, (q31_t)0x3ea71777, (q31_t)0x3ea19cc1, (q31_t)0x3e9c21e4, (q31_t)0x3e96a6e0,
+  (q31_t)0x3e912bb6, (q31_t)0x3e8bb065, (q31_t)0x3e8634ee, (q31_t)0x3e80b950, (q31_t)0x3e7b3d8c, (q31_t)0x3e75c1a1, (q31_t)0x3e70458f, (q31_t)0x3e6ac957,
+  (q31_t)0x3e654cf8, (q31_t)0x3e5fd073, (q31_t)0x3e5a53c8, (q31_t)0x3e54d6f6, (q31_t)0x3e4f59fe, (q31_t)0x3e49dcdf, (q31_t)0x3e445f99, (q31_t)0x3e3ee22e,
+  (q31_t)0x3e39649c, (q31_t)0x3e33e6e3, (q31_t)0x3e2e6904, (q31_t)0x3e28eaff, (q31_t)0x3e236cd4, (q31_t)0x3e1dee82, (q31_t)0x3e18700a, (q31_t)0x3e12f16b,
+  (q31_t)0x3e0d72a6, (q31_t)0x3e07f3bb, (q31_t)0x3e0274aa, (q31_t)0x3dfcf572, (q31_t)0x3df77615, (q31_t)0x3df1f691, (q31_t)0x3dec76e6, (q31_t)0x3de6f716,
+  (q31_t)0x3de1771f, (q31_t)0x3ddbf703, (q31_t)0x3dd676c0, (q31_t)0x3dd0f656, (q31_t)0x3dcb75c7, (q31_t)0x3dc5f512, (q31_t)0x3dc07436, (q31_t)0x3dbaf335,
+  (q31_t)0x3db5720d, (q31_t)0x3daff0c0, (q31_t)0x3daa6f4c, (q31_t)0x3da4edb2, (q31_t)0x3d9f6bf2, (q31_t)0x3d99ea0d, (q31_t)0x3d946801, (q31_t)0x3d8ee5cf,
+  (q31_t)0x3d896377, (q31_t)0x3d83e0f9, (q31_t)0x3d7e5e56, (q31_t)0x3d78db8c, (q31_t)0x3d73589d, (q31_t)0x3d6dd587, (q31_t)0x3d68524c, (q31_t)0x3d62ceeb,
+  (q31_t)0x3d5d4b64, (q31_t)0x3d57c7b7, (q31_t)0x3d5243e4, (q31_t)0x3d4cbfeb, (q31_t)0x3d473bcd, (q31_t)0x3d41b789, (q31_t)0x3d3c331f, (q31_t)0x3d36ae8f,
+  (q31_t)0x3d3129da, (q31_t)0x3d2ba4fe, (q31_t)0x3d261ffd, (q31_t)0x3d209ad7, (q31_t)0x3d1b158a, (q31_t)0x3d159018, (q31_t)0x3d100a80, (q31_t)0x3d0a84c3,
+  (q31_t)0x3d04fee0, (q31_t)0x3cff78d7, (q31_t)0x3cf9f2a9, (q31_t)0x3cf46c55, (q31_t)0x3ceee5db, (q31_t)0x3ce95f3c, (q31_t)0x3ce3d877, (q31_t)0x3cde518d,
+  (q31_t)0x3cd8ca7d, (q31_t)0x3cd34347, (q31_t)0x3ccdbbed, (q31_t)0x3cc8346c, (q31_t)0x3cc2acc6, (q31_t)0x3cbd24fb, (q31_t)0x3cb79d0a, (q31_t)0x3cb214f4,
+  (q31_t)0x3cac8cb8, (q31_t)0x3ca70457, (q31_t)0x3ca17bd0, (q31_t)0x3c9bf324, (q31_t)0x3c966a53, (q31_t)0x3c90e15c, (q31_t)0x3c8b5840, (q31_t)0x3c85cefe,
+  (q31_t)0x3c804598, (q31_t)0x3c7abc0c, (q31_t)0x3c75325a, (q31_t)0x3c6fa883, (q31_t)0x3c6a1e87, (q31_t)0x3c649466, (q31_t)0x3c5f0a20, (q31_t)0x3c597fb4,
+  (q31_t)0x3c53f523, (q31_t)0x3c4e6a6d, (q31_t)0x3c48df91, (q31_t)0x3c435491, (q31_t)0x3c3dc96b, (q31_t)0x3c383e20, (q31_t)0x3c32b2b0, (q31_t)0x3c2d271b,
+  (q31_t)0x3c279b61, (q31_t)0x3c220f81, (q31_t)0x3c1c837d, (q31_t)0x3c16f753, (q31_t)0x3c116b04, (q31_t)0x3c0bde91, (q31_t)0x3c0651f8, (q31_t)0x3c00c53a,
+  (q31_t)0x3bfb3857, (q31_t)0x3bf5ab50, (q31_t)0x3bf01e23, (q31_t)0x3bea90d1, (q31_t)0x3be5035a, (q31_t)0x3bdf75bf, (q31_t)0x3bd9e7fe, (q31_t)0x3bd45a19,
+  (q31_t)0x3bcecc0e, (q31_t)0x3bc93ddf, (q31_t)0x3bc3af8b, (q31_t)0x3bbe2112, (q31_t)0x3bb89274, (q31_t)0x3bb303b1, (q31_t)0x3bad74c9, (q31_t)0x3ba7e5bd,
+  (q31_t)0x3ba2568c, (q31_t)0x3b9cc736, (q31_t)0x3b9737bb, (q31_t)0x3b91a81c, (q31_t)0x3b8c1857, (q31_t)0x3b86886e, (q31_t)0x3b80f861, (q31_t)0x3b7b682e,
+  (q31_t)0x3b75d7d7, (q31_t)0x3b70475c, (q31_t)0x3b6ab6bb, (q31_t)0x3b6525f6, (q31_t)0x3b5f950c, (q31_t)0x3b5a03fe, (q31_t)0x3b5472cb, (q31_t)0x3b4ee173,
+  (q31_t)0x3b494ff7, (q31_t)0x3b43be57, (q31_t)0x3b3e2c91, (q31_t)0x3b389aa8, (q31_t)0x3b330899, (q31_t)0x3b2d7666, (q31_t)0x3b27e40f, (q31_t)0x3b225193,
+  (q31_t)0x3b1cbef3, (q31_t)0x3b172c2e, (q31_t)0x3b119945, (q31_t)0x3b0c0637, (q31_t)0x3b067305, (q31_t)0x3b00dfaf, (q31_t)0x3afb4c34, (q31_t)0x3af5b894,
+  (q31_t)0x3af024d1, (q31_t)0x3aea90e9, (q31_t)0x3ae4fcdc, (q31_t)0x3adf68ac, (q31_t)0x3ad9d457, (q31_t)0x3ad43fdd, (q31_t)0x3aceab40, (q31_t)0x3ac9167e,
+  (q31_t)0x3ac38198, (q31_t)0x3abdec8d, (q31_t)0x3ab8575f, (q31_t)0x3ab2c20c, (q31_t)0x3aad2c95, (q31_t)0x3aa796fa, (q31_t)0x3aa2013a, (q31_t)0x3a9c6b57,
+  (q31_t)0x3a96d54f, (q31_t)0x3a913f23, (q31_t)0x3a8ba8d3, (q31_t)0x3a86125f, (q31_t)0x3a807bc7, (q31_t)0x3a7ae50a, (q31_t)0x3a754e2a, (q31_t)0x3a6fb726,
+  (q31_t)0x3a6a1ffd, (q31_t)0x3a6488b1, (q31_t)0x3a5ef140, (q31_t)0x3a5959ab, (q31_t)0x3a53c1f3, (q31_t)0x3a4e2a16, (q31_t)0x3a489216, (q31_t)0x3a42f9f2,
+  (q31_t)0x3a3d61a9, (q31_t)0x3a37c93d, (q31_t)0x3a3230ad, (q31_t)0x3a2c97f9, (q31_t)0x3a26ff21, (q31_t)0x3a216625, (q31_t)0x3a1bcd05, (q31_t)0x3a1633c1,
+  (q31_t)0x3a109a5a, (q31_t)0x3a0b00cf, (q31_t)0x3a056720, (q31_t)0x39ffcd4d, (q31_t)0x39fa3356, (q31_t)0x39f4993c, (q31_t)0x39eefefe, (q31_t)0x39e9649c,
+  (q31_t)0x39e3ca17, (q31_t)0x39de2f6d, (q31_t)0x39d894a0, (q31_t)0x39d2f9b0, (q31_t)0x39cd5e9b, (q31_t)0x39c7c363, (q31_t)0x39c22808, (q31_t)0x39bc8c89,
+  (q31_t)0x39b6f0e6, (q31_t)0x39b1551f, (q31_t)0x39abb935, (q31_t)0x39a61d28, (q31_t)0x39a080f6, (q31_t)0x399ae4a2, (q31_t)0x39954829, (q31_t)0x398fab8e,
+  (q31_t)0x398a0ece, (q31_t)0x398471ec, (q31_t)0x397ed4e5, (q31_t)0x397937bc, (q31_t)0x39739a6e, (q31_t)0x396dfcfe, (q31_t)0x39685f6a, (q31_t)0x3962c1b2,
+  (q31_t)0x395d23d7, (q31_t)0x395785d9, (q31_t)0x3951e7b8, (q31_t)0x394c4973, (q31_t)0x3946ab0a, (q31_t)0x39410c7f, (q31_t)0x393b6dd0, (q31_t)0x3935cefd,
+  (q31_t)0x39303008, (q31_t)0x392a90ef, (q31_t)0x3924f1b3, (q31_t)0x391f5254, (q31_t)0x3919b2d1, (q31_t)0x3914132b, (q31_t)0x390e7362, (q31_t)0x3908d376,
+  (q31_t)0x39033367, (q31_t)0x38fd9334, (q31_t)0x38f7f2de, (q31_t)0x38f25266, (q31_t)0x38ecb1ca, (q31_t)0x38e7110a, (q31_t)0x38e17028, (q31_t)0x38dbcf23,
+  (q31_t)0x38d62dfb, (q31_t)0x38d08caf, (q31_t)0x38caeb41, (q31_t)0x38c549af, (q31_t)0x38bfa7fb, (q31_t)0x38ba0623, (q31_t)0x38b46429, (q31_t)0x38aec20b,
+  (q31_t)0x38a91fcb, (q31_t)0x38a37d67, (q31_t)0x389ddae1, (q31_t)0x38983838, (q31_t)0x3892956c, (q31_t)0x388cf27d, (q31_t)0x38874f6b, (q31_t)0x3881ac36,
+  (q31_t)0x387c08de, (q31_t)0x38766564, (q31_t)0x3870c1c6, (q31_t)0x386b1e06, (q31_t)0x38657a23, (q31_t)0x385fd61d, (q31_t)0x385a31f5, (q31_t)0x38548daa,
+  (q31_t)0x384ee93b, (q31_t)0x384944ab, (q31_t)0x38439ff7, (q31_t)0x383dfb21, (q31_t)0x38385628, (q31_t)0x3832b10d, (q31_t)0x382d0bce, (q31_t)0x3827666d,
+  (q31_t)0x3821c0ea, (q31_t)0x381c1b44, (q31_t)0x3816757b, (q31_t)0x3810cf90, (q31_t)0x380b2982, (q31_t)0x38058351, (q31_t)0x37ffdcfe, (q31_t)0x37fa3688,
+  (q31_t)0x37f48ff0, (q31_t)0x37eee936, (q31_t)0x37e94259, (q31_t)0x37e39b59, (q31_t)0x37ddf437, (q31_t)0x37d84cf2, (q31_t)0x37d2a58b, (q31_t)0x37ccfe02,
+  (q31_t)0x37c75656, (q31_t)0x37c1ae87, (q31_t)0x37bc0697, (q31_t)0x37b65e84, (q31_t)0x37b0b64e, (q31_t)0x37ab0df6, (q31_t)0x37a5657c, (q31_t)0x379fbce0,
+  (q31_t)0x379a1421, (q31_t)0x37946b40, (q31_t)0x378ec23d, (q31_t)0x37891917, (q31_t)0x37836fcf, (q31_t)0x377dc665, (q31_t)0x37781cd9, (q31_t)0x3772732a,
+  (q31_t)0x376cc959, (q31_t)0x37671f66, (q31_t)0x37617551, (q31_t)0x375bcb1a, (q31_t)0x375620c1, (q31_t)0x37507645, (q31_t)0x374acba7, (q31_t)0x374520e7,
+  (q31_t)0x373f7606, (q31_t)0x3739cb02, (q31_t)0x37341fdc, (q31_t)0x372e7493, (q31_t)0x3728c929, (q31_t)0x37231d9d, (q31_t)0x371d71ef, (q31_t)0x3717c61f,
+  (q31_t)0x37121a2d, (q31_t)0x370c6e19, (q31_t)0x3706c1e2, (q31_t)0x3701158a, (q31_t)0x36fb6910, (q31_t)0x36f5bc75, (q31_t)0x36f00fb7, (q31_t)0x36ea62d7,
+  (q31_t)0x36e4b5d6, (q31_t)0x36df08b2, (q31_t)0x36d95b6d, (q31_t)0x36d3ae06, (q31_t)0x36ce007d, (q31_t)0x36c852d2, (q31_t)0x36c2a506, (q31_t)0x36bcf718,
+  (q31_t)0x36b74908, (q31_t)0x36b19ad6, (q31_t)0x36abec82, (q31_t)0x36a63e0d, (q31_t)0x36a08f76, (q31_t)0x369ae0bd, (q31_t)0x369531e3, (q31_t)0x368f82e7,
+  (q31_t)0x3689d3c9, (q31_t)0x3684248a, (q31_t)0x367e7529, (q31_t)0x3678c5a7, (q31_t)0x36731602, (q31_t)0x366d663d, (q31_t)0x3667b655, (q31_t)0x3662064c,
+  (q31_t)0x365c5622, (q31_t)0x3656a5d6, (q31_t)0x3650f569, (q31_t)0x364b44da, (q31_t)0x36459429, (q31_t)0x363fe357, (q31_t)0x363a3264, (q31_t)0x3634814f,
+  (q31_t)0x362ed019, (q31_t)0x36291ec1, (q31_t)0x36236d48, (q31_t)0x361dbbad, (q31_t)0x361809f1, (q31_t)0x36125814, (q31_t)0x360ca615, (q31_t)0x3606f3f5,
+  (q31_t)0x360141b4, (q31_t)0x35fb8f52, (q31_t)0x35f5dcce, (q31_t)0x35f02a28, (q31_t)0x35ea7762, (q31_t)0x35e4c47a, (q31_t)0x35df1171, (q31_t)0x35d95e47,
+  (q31_t)0x35d3aafc, (q31_t)0x35cdf78f, (q31_t)0x35c84401, (q31_t)0x35c29052, (q31_t)0x35bcdc82, (q31_t)0x35b72891, (q31_t)0x35b1747e, (q31_t)0x35abc04b,
+  (q31_t)0x35a60bf6, (q31_t)0x35a05781, (q31_t)0x359aa2ea, (q31_t)0x3594ee32, (q31_t)0x358f3959, (q31_t)0x3589845f, (q31_t)0x3583cf44, (q31_t)0x357e1a08,
+  (q31_t)0x357864ab, (q31_t)0x3572af2d, (q31_t)0x356cf98e, (q31_t)0x356743ce, (q31_t)0x35618ded, (q31_t)0x355bd7eb, (q31_t)0x355621c9, (q31_t)0x35506b85,
+  (q31_t)0x354ab520, (q31_t)0x3544fe9b, (q31_t)0x353f47f5, (q31_t)0x3539912e, (q31_t)0x3533da46, (q31_t)0x352e233d, (q31_t)0x35286c14, (q31_t)0x3522b4c9,
+  (q31_t)0x351cfd5e, (q31_t)0x351745d2, (q31_t)0x35118e26, (q31_t)0x350bd658, (q31_t)0x35061e6a, (q31_t)0x3500665c, (q31_t)0x34faae2c, (q31_t)0x34f4f5dc,
+  (q31_t)0x34ef3d6b, (q31_t)0x34e984da, (q31_t)0x34e3cc28, (q31_t)0x34de1355, (q31_t)0x34d85a62, (q31_t)0x34d2a14e, (q31_t)0x34cce819, (q31_t)0x34c72ec4,
+  (q31_t)0x34c1754e, (q31_t)0x34bbbbb8, (q31_t)0x34b60202, (q31_t)0x34b0482a, (q31_t)0x34aa8e33, (q31_t)0x34a4d41a, (q31_t)0x349f19e2, (q31_t)0x34995f88,
+  (q31_t)0x3493a50f, (q31_t)0x348dea75, (q31_t)0x34882fba, (q31_t)0x348274e0, (q31_t)0x347cb9e4, (q31_t)0x3476fec9, (q31_t)0x3471438d, (q31_t)0x346b8830,
+  (q31_t)0x3465ccb4, (q31_t)0x34601117, (q31_t)0x345a5559, (q31_t)0x3454997c, (q31_t)0x344edd7e, (q31_t)0x34492160, (q31_t)0x34436521, (q31_t)0x343da8c3,
+  (q31_t)0x3437ec44, (q31_t)0x34322fa5, (q31_t)0x342c72e6, (q31_t)0x3426b606, (q31_t)0x3420f907, (q31_t)0x341b3be7, (q31_t)0x34157ea7, (q31_t)0x340fc147,
+  (q31_t)0x340a03c7, (q31_t)0x34044626, (q31_t)0x33fe8866, (q31_t)0x33f8ca86, (q31_t)0x33f30c85, (q31_t)0x33ed4e65, (q31_t)0x33e79024, (q31_t)0x33e1d1c4,
+  (q31_t)0x33dc1343, (q31_t)0x33d654a2, (q31_t)0x33d095e2, (q31_t)0x33cad701, (q31_t)0x33c51801, (q31_t)0x33bf58e1, (q31_t)0x33b999a0, (q31_t)0x33b3da40,
+  (q31_t)0x33ae1ac0, (q31_t)0x33a85b20, (q31_t)0x33a29b60, (q31_t)0x339cdb81, (q31_t)0x33971b81, (q31_t)0x33915b62, (q31_t)0x338b9b22, (q31_t)0x3385dac4,
+  (q31_t)0x33801a45, (q31_t)0x337a59a6, (q31_t)0x337498e8, (q31_t)0x336ed80a, (q31_t)0x3369170c, (q31_t)0x336355ef, (q31_t)0x335d94b2, (q31_t)0x3357d355,
+  (q31_t)0x335211d8, (q31_t)0x334c503c, (q31_t)0x33468e80, (q31_t)0x3340cca5, (q31_t)0x333b0aaa, (q31_t)0x3335488f, (q31_t)0x332f8655, (q31_t)0x3329c3fb,
+  (q31_t)0x33240182, (q31_t)0x331e3ee9, (q31_t)0x33187c31, (q31_t)0x3312b959, (q31_t)0x330cf661, (q31_t)0x3307334a, (q31_t)0x33017014, (q31_t)0x32fbacbe,
+  (q31_t)0x32f5e948, (q31_t)0x32f025b4, (q31_t)0x32ea61ff, (q31_t)0x32e49e2c, (q31_t)0x32deda39, (q31_t)0x32d91626, (q31_t)0x32d351f5, (q31_t)0x32cd8da4,
+  (q31_t)0x32c7c933, (q31_t)0x32c204a3, (q31_t)0x32bc3ff4, (q31_t)0x32b67b26, (q31_t)0x32b0b638, (q31_t)0x32aaf12b, (q31_t)0x32a52bff, (q31_t)0x329f66b4,
+  (q31_t)0x3299a149, (q31_t)0x3293dbbf, (q31_t)0x328e1616, (q31_t)0x3288504e, (q31_t)0x32828a67, (q31_t)0x327cc460, (q31_t)0x3276fe3a, (q31_t)0x327137f6,
+  (q31_t)0x326b7192, (q31_t)0x3265ab0f, (q31_t)0x325fe46c, (q31_t)0x325a1dab, (q31_t)0x325456cb, (q31_t)0x324e8fcc, (q31_t)0x3248c8ad, (q31_t)0x32430170,
+  (q31_t)0x323d3a14, (q31_t)0x32377298, (q31_t)0x3231aafe, (q31_t)0x322be345, (q31_t)0x32261b6c, (q31_t)0x32205375, (q31_t)0x321a8b5f, (q31_t)0x3214c32a,
+  (q31_t)0x320efad6, (q31_t)0x32093263, (q31_t)0x320369d2, (q31_t)0x31fda121, (q31_t)0x31f7d852, (q31_t)0x31f20f64, (q31_t)0x31ec4657, (q31_t)0x31e67d2b,
+  (q31_t)0x31e0b3e0, (q31_t)0x31daea77, (q31_t)0x31d520ef, (q31_t)0x31cf5748, (q31_t)0x31c98d83, (q31_t)0x31c3c39e, (q31_t)0x31bdf99b, (q31_t)0x31b82f7a,
+  (q31_t)0x31b2653a, (q31_t)0x31ac9adb, (q31_t)0x31a6d05d, (q31_t)0x31a105c1, (q31_t)0x319b3b06, (q31_t)0x3195702d, (q31_t)0x318fa535, (q31_t)0x3189da1e,
+  (q31_t)0x31840ee9, (q31_t)0x317e4395, (q31_t)0x31787823, (q31_t)0x3172ac92, (q31_t)0x316ce0e3, (q31_t)0x31671515, (q31_t)0x31614929, (q31_t)0x315b7d1e,
+  (q31_t)0x3155b0f5, (q31_t)0x314fe4ae, (q31_t)0x314a1848, (q31_t)0x31444bc3, (q31_t)0x313e7f21, (q31_t)0x3138b260, (q31_t)0x3132e580, (q31_t)0x312d1882,
+  (q31_t)0x31274b66, (q31_t)0x31217e2c, (q31_t)0x311bb0d3, (q31_t)0x3115e35c, (q31_t)0x311015c6, (q31_t)0x310a4813, (q31_t)0x31047a41, (q31_t)0x30feac51,
+  (q31_t)0x30f8de42, (q31_t)0x30f31016, (q31_t)0x30ed41cb, (q31_t)0x30e77362, (q31_t)0x30e1a4db, (q31_t)0x30dbd636, (q31_t)0x30d60772, (q31_t)0x30d03891,
+  (q31_t)0x30ca6991, (q31_t)0x30c49a74, (q31_t)0x30becb38, (q31_t)0x30b8fbde, (q31_t)0x30b32c66, (q31_t)0x30ad5cd0, (q31_t)0x30a78d1c, (q31_t)0x30a1bd4a,
+  (q31_t)0x309bed5a, (q31_t)0x30961d4c, (q31_t)0x30904d20, (q31_t)0x308a7cd6, (q31_t)0x3084ac6e, (q31_t)0x307edbe9, (q31_t)0x30790b45, (q31_t)0x30733a83,
+  (q31_t)0x306d69a4, (q31_t)0x306798a7, (q31_t)0x3061c78b, (q31_t)0x305bf652, (q31_t)0x305624fb, (q31_t)0x30505387, (q31_t)0x304a81f4, (q31_t)0x3044b044,
+  (q31_t)0x303ede76, (q31_t)0x30390c8a, (q31_t)0x30333a80, (q31_t)0x302d6859, (q31_t)0x30279614, (q31_t)0x3021c3b1, (q31_t)0x301bf131, (q31_t)0x30161e93,
+  (q31_t)0x30104bd7, (q31_t)0x300a78fe, (q31_t)0x3004a607, (q31_t)0x2ffed2f2, (q31_t)0x2ff8ffc0, (q31_t)0x2ff32c70, (q31_t)0x2fed5902, (q31_t)0x2fe78577,
+  (q31_t)0x2fe1b1cf, (q31_t)0x2fdbde09, (q31_t)0x2fd60a25, (q31_t)0x2fd03624, (q31_t)0x2fca6206, (q31_t)0x2fc48dc9, (q31_t)0x2fbeb970, (q31_t)0x2fb8e4f9,
+  (q31_t)0x2fb31064, (q31_t)0x2fad3bb3, (q31_t)0x2fa766e3, (q31_t)0x2fa191f7, (q31_t)0x2f9bbced, (q31_t)0x2f95e7c5, (q31_t)0x2f901280, (q31_t)0x2f8a3d1e,
+  (q31_t)0x2f84679f, (q31_t)0x2f7e9202, (q31_t)0x2f78bc48, (q31_t)0x2f72e671, (q31_t)0x2f6d107c, (q31_t)0x2f673a6a, (q31_t)0x2f61643b, (q31_t)0x2f5b8def,
+  (q31_t)0x2f55b785, (q31_t)0x2f4fe0ff, (q31_t)0x2f4a0a5b, (q31_t)0x2f44339a, (q31_t)0x2f3e5cbb, (q31_t)0x2f3885c0, (q31_t)0x2f32aea8, (q31_t)0x2f2cd772,
+  (q31_t)0x2f27001f, (q31_t)0x2f2128af, (q31_t)0x2f1b5122, (q31_t)0x2f157979, (q31_t)0x2f0fa1b2, (q31_t)0x2f09c9ce, (q31_t)0x2f03f1cd, (q31_t)0x2efe19ae,
+  (q31_t)0x2ef84173, (q31_t)0x2ef2691b, (q31_t)0x2eec90a7, (q31_t)0x2ee6b815, (q31_t)0x2ee0df66, (q31_t)0x2edb069a, (q31_t)0x2ed52db1, (q31_t)0x2ecf54ac,
+  (q31_t)0x2ec97b89, (q31_t)0x2ec3a24a, (q31_t)0x2ebdc8ee, (q31_t)0x2eb7ef75, (q31_t)0x2eb215df, (q31_t)0x2eac3c2d, (q31_t)0x2ea6625d, (q31_t)0x2ea08871,
+  (q31_t)0x2e9aae68, (q31_t)0x2e94d443, (q31_t)0x2e8efa00, (q31_t)0x2e891fa1, (q31_t)0x2e834525, (q31_t)0x2e7d6a8d, (q31_t)0x2e778fd8, (q31_t)0x2e71b506,
+  (q31_t)0x2e6bda17, (q31_t)0x2e65ff0c, (q31_t)0x2e6023e5, (q31_t)0x2e5a48a0, (q31_t)0x2e546d3f, (q31_t)0x2e4e91c2, (q31_t)0x2e48b628, (q31_t)0x2e42da71,
+  (q31_t)0x2e3cfe9e, (q31_t)0x2e3722ae, (q31_t)0x2e3146a2, (q31_t)0x2e2b6a79, (q31_t)0x2e258e34, (q31_t)0x2e1fb1d3, (q31_t)0x2e19d554, (q31_t)0x2e13f8ba,
+  (q31_t)0x2e0e1c03, (q31_t)0x2e083f30, (q31_t)0x2e026240, (q31_t)0x2dfc8534, (q31_t)0x2df6a80b, (q31_t)0x2df0cac6, (q31_t)0x2deaed65, (q31_t)0x2de50fe8,
+  (q31_t)0x2ddf324e, (q31_t)0x2dd95498, (q31_t)0x2dd376c5, (q31_t)0x2dcd98d7, (q31_t)0x2dc7bacc, (q31_t)0x2dc1dca4, (q31_t)0x2dbbfe61, (q31_t)0x2db62001,
+  (q31_t)0x2db04186, (q31_t)0x2daa62ee, (q31_t)0x2da4843a, (q31_t)0x2d9ea569, (q31_t)0x2d98c67d, (q31_t)0x2d92e774, (q31_t)0x2d8d084f, (q31_t)0x2d87290f,
+  (q31_t)0x2d8149b2, (q31_t)0x2d7b6a39, (q31_t)0x2d758aa4, (q31_t)0x2d6faaf3, (q31_t)0x2d69cb26, (q31_t)0x2d63eb3d, (q31_t)0x2d5e0b38, (q31_t)0x2d582b17,
+  (q31_t)0x2d524ada, (q31_t)0x2d4c6a81, (q31_t)0x2d468a0c, (q31_t)0x2d40a97b, (q31_t)0x2d3ac8ce, (q31_t)0x2d34e805, (q31_t)0x2d2f0721, (q31_t)0x2d292620,
+  (q31_t)0x2d234504, (q31_t)0x2d1d63cc, (q31_t)0x2d178278, (q31_t)0x2d11a108, (q31_t)0x2d0bbf7d, (q31_t)0x2d05ddd5, (q31_t)0x2cfffc12, (q31_t)0x2cfa1a33,
+  (q31_t)0x2cf43839, (q31_t)0x2cee5622, (q31_t)0x2ce873f0, (q31_t)0x2ce291a2, (q31_t)0x2cdcaf39, (q31_t)0x2cd6ccb4, (q31_t)0x2cd0ea13, (q31_t)0x2ccb0756,
+  (q31_t)0x2cc5247e, (q31_t)0x2cbf418b, (q31_t)0x2cb95e7b, (q31_t)0x2cb37b51, (q31_t)0x2cad980a, (q31_t)0x2ca7b4a8, (q31_t)0x2ca1d12a, (q31_t)0x2c9bed91,
+  (q31_t)0x2c9609dd, (q31_t)0x2c90260d, (q31_t)0x2c8a4221, (q31_t)0x2c845e1a, (q31_t)0x2c7e79f7, (q31_t)0x2c7895b9, (q31_t)0x2c72b160, (q31_t)0x2c6ccceb,
+  (q31_t)0x2c66e85b, (q31_t)0x2c6103af, (q31_t)0x2c5b1ee8, (q31_t)0x2c553a06, (q31_t)0x2c4f5508, (q31_t)0x2c496fef, (q31_t)0x2c438abb, (q31_t)0x2c3da56b,
+  (q31_t)0x2c37c000, (q31_t)0x2c31da7a, (q31_t)0x2c2bf4d8, (q31_t)0x2c260f1c, (q31_t)0x2c202944, (q31_t)0x2c1a4351, (q31_t)0x2c145d42, (q31_t)0x2c0e7719,
+  (q31_t)0x2c0890d4, (q31_t)0x2c02aa74, (q31_t)0x2bfcc3f9, (q31_t)0x2bf6dd63, (q31_t)0x2bf0f6b1, (q31_t)0x2beb0fe5, (q31_t)0x2be528fd, (q31_t)0x2bdf41fb,
+  (q31_t)0x2bd95add, (q31_t)0x2bd373a4, (q31_t)0x2bcd8c51, (q31_t)0x2bc7a4e2, (q31_t)0x2bc1bd58, (q31_t)0x2bbbd5b3, (q31_t)0x2bb5edf4, (q31_t)0x2bb00619,
+  (q31_t)0x2baa1e23, (q31_t)0x2ba43613, (q31_t)0x2b9e4de7, (q31_t)0x2b9865a1, (q31_t)0x2b927d3f, (q31_t)0x2b8c94c3, (q31_t)0x2b86ac2c, (q31_t)0x2b80c37a,
+  (q31_t)0x2b7adaae, (q31_t)0x2b74f1c6, (q31_t)0x2b6f08c4, (q31_t)0x2b691fa6, (q31_t)0x2b63366f, (q31_t)0x2b5d4d1c, (q31_t)0x2b5763ae, (q31_t)0x2b517a26,
+  (q31_t)0x2b4b9083, (q31_t)0x2b45a6c6, (q31_t)0x2b3fbced, (q31_t)0x2b39d2fa, (q31_t)0x2b33e8ed, (q31_t)0x2b2dfec5, (q31_t)0x2b281482, (q31_t)0x2b222a24,
+  (q31_t)0x2b1c3fac, (q31_t)0x2b165519, (q31_t)0x2b106a6c, (q31_t)0x2b0a7fa4, (q31_t)0x2b0494c2, (q31_t)0x2afea9c5, (q31_t)0x2af8bead, (q31_t)0x2af2d37b,
+  (q31_t)0x2aece82f, (q31_t)0x2ae6fcc8, (q31_t)0x2ae11146, (q31_t)0x2adb25aa, (q31_t)0x2ad539f4, (q31_t)0x2acf4e23, (q31_t)0x2ac96238, (q31_t)0x2ac37633,
+  (q31_t)0x2abd8a13, (q31_t)0x2ab79dd8, (q31_t)0x2ab1b184, (q31_t)0x2aabc515, (q31_t)0x2aa5d88b, (q31_t)0x2a9febe8, (q31_t)0x2a99ff2a, (q31_t)0x2a941252,
+  (q31_t)0x2a8e255f, (q31_t)0x2a883853, (q31_t)0x2a824b2c, (q31_t)0x2a7c5deb, (q31_t)0x2a76708f, (q31_t)0x2a70831a, (q31_t)0x2a6a958a, (q31_t)0x2a64a7e0,
+  (q31_t)0x2a5eba1c, (q31_t)0x2a58cc3e, (q31_t)0x2a52de46, (q31_t)0x2a4cf033, (q31_t)0x2a470207, (q31_t)0x2a4113c0, (q31_t)0x2a3b2560, (q31_t)0x2a3536e5,
+  (q31_t)0x2a2f4850, (q31_t)0x2a2959a1, (q31_t)0x2a236ad9, (q31_t)0x2a1d7bf6, (q31_t)0x2a178cf9, (q31_t)0x2a119de2, (q31_t)0x2a0baeb2, (q31_t)0x2a05bf67,
+  (q31_t)0x29ffd003, (q31_t)0x29f9e084, (q31_t)0x29f3f0ec, (q31_t)0x29ee013a, (q31_t)0x29e8116e, (q31_t)0x29e22188, (q31_t)0x29dc3188, (q31_t)0x29d6416f,
+  (q31_t)0x29d0513b, (q31_t)0x29ca60ee, (q31_t)0x29c47087, (q31_t)0x29be8007, (q31_t)0x29b88f6c, (q31_t)0x29b29eb8, (q31_t)0x29acadea, (q31_t)0x29a6bd02,
+  (q31_t)0x29a0cc01, (q31_t)0x299adae6, (q31_t)0x2994e9b1, (q31_t)0x298ef863, (q31_t)0x298906fb, (q31_t)0x2983157a, (q31_t)0x297d23df, (q31_t)0x2977322a,
+  (q31_t)0x2971405b, (q31_t)0x296b4e74, (q31_t)0x29655c72, (q31_t)0x295f6a57, (q31_t)0x29597823, (q31_t)0x295385d5, (q31_t)0x294d936d, (q31_t)0x2947a0ec,
+  (q31_t)0x2941ae52, (q31_t)0x293bbb9e, (q31_t)0x2935c8d1, (q31_t)0x292fd5ea, (q31_t)0x2929e2ea, (q31_t)0x2923efd0, (q31_t)0x291dfc9d, (q31_t)0x29180951,
+  (q31_t)0x291215eb, (q31_t)0x290c226c, (q31_t)0x29062ed4, (q31_t)0x29003b23, (q31_t)0x28fa4758, (q31_t)0x28f45374, (q31_t)0x28ee5f76, (q31_t)0x28e86b5f,
+  (q31_t)0x28e27730, (q31_t)0x28dc82e6, (q31_t)0x28d68e84, (q31_t)0x28d09a09, (q31_t)0x28caa574, (q31_t)0x28c4b0c6, (q31_t)0x28bebbff, (q31_t)0x28b8c71f,
+  (q31_t)0x28b2d226, (q31_t)0x28acdd13, (q31_t)0x28a6e7e8, (q31_t)0x28a0f2a3, (q31_t)0x289afd46, (q31_t)0x289507cf, (q31_t)0x288f123f, (q31_t)0x28891c97,
+  (q31_t)0x288326d5, (q31_t)0x287d30fa, (q31_t)0x28773b07, (q31_t)0x287144fa, (q31_t)0x286b4ed5, (q31_t)0x28655896, (q31_t)0x285f623f, (q31_t)0x28596bce,
+  (q31_t)0x28537545, (q31_t)0x284d7ea3, (q31_t)0x284787e8, (q31_t)0x28419114, (q31_t)0x283b9a28, (q31_t)0x2835a322, (q31_t)0x282fac04, (q31_t)0x2829b4cd,
+  (q31_t)0x2823bd7d, (q31_t)0x281dc615, (q31_t)0x2817ce93, (q31_t)0x2811d6f9, (q31_t)0x280bdf46, (q31_t)0x2805e77b, (q31_t)0x27ffef97, (q31_t)0x27f9f79a,
+  (q31_t)0x27f3ff85, (q31_t)0x27ee0756, (q31_t)0x27e80f10, (q31_t)0x27e216b0, (q31_t)0x27dc1e38, (q31_t)0x27d625a8, (q31_t)0x27d02cff, (q31_t)0x27ca343d,
+  (q31_t)0x27c43b63, (q31_t)0x27be4270, (q31_t)0x27b84965, (q31_t)0x27b25041, (q31_t)0x27ac5705, (q31_t)0x27a65db0, (q31_t)0x27a06443, (q31_t)0x279a6abd,
+  (q31_t)0x2794711f, (q31_t)0x278e7768, (q31_t)0x27887d99, (q31_t)0x278283b2, (q31_t)0x277c89b3, (q31_t)0x27768f9b, (q31_t)0x2770956a, (q31_t)0x276a9b21,
+  (q31_t)0x2764a0c0, (q31_t)0x275ea647, (q31_t)0x2758abb6, (q31_t)0x2752b10c, (q31_t)0x274cb64a, (q31_t)0x2746bb6f, (q31_t)0x2740c07d, (q31_t)0x273ac572,
+  (q31_t)0x2734ca4f, (q31_t)0x272ecf14, (q31_t)0x2728d3c0, (q31_t)0x2722d855, (q31_t)0x271cdcd1, (q31_t)0x2716e136, (q31_t)0x2710e582, (q31_t)0x270ae9b6,
+  (q31_t)0x2704edd2, (q31_t)0x26fef1d5, (q31_t)0x26f8f5c1, (q31_t)0x26f2f995, (q31_t)0x26ecfd51, (q31_t)0x26e700f5, (q31_t)0x26e10480, (q31_t)0x26db07f4,
+  (q31_t)0x26d50b50, (q31_t)0x26cf0e94, (q31_t)0x26c911c0, (q31_t)0x26c314d4, (q31_t)0x26bd17d0, (q31_t)0x26b71ab4, (q31_t)0x26b11d80, (q31_t)0x26ab2034,
+  (q31_t)0x26a522d1, (q31_t)0x269f2556, (q31_t)0x269927c3, (q31_t)0x26932a18, (q31_t)0x268d2c55, (q31_t)0x26872e7b, (q31_t)0x26813088, (q31_t)0x267b327e,
+  (q31_t)0x2675345d, (q31_t)0x266f3623, (q31_t)0x266937d2, (q31_t)0x26633969, (q31_t)0x265d3ae9, (q31_t)0x26573c50, (q31_t)0x26513da1, (q31_t)0x264b3ed9,
+  (q31_t)0x26453ffa, (q31_t)0x263f4103, (q31_t)0x263941f5, (q31_t)0x263342cf, (q31_t)0x262d4392, (q31_t)0x2627443d, (q31_t)0x262144d0, (q31_t)0x261b454c,
+  (q31_t)0x261545b0, (q31_t)0x260f45fd, (q31_t)0x26094633, (q31_t)0x26034651, (q31_t)0x25fd4657, (q31_t)0x25f74646, (q31_t)0x25f1461e, (q31_t)0x25eb45de,
+  (q31_t)0x25e54587, (q31_t)0x25df4519, (q31_t)0x25d94493, (q31_t)0x25d343f6, (q31_t)0x25cd4341, (q31_t)0x25c74276, (q31_t)0x25c14192, (q31_t)0x25bb4098,
+  (q31_t)0x25b53f86, (q31_t)0x25af3e5d, (q31_t)0x25a93d1d, (q31_t)0x25a33bc6, (q31_t)0x259d3a57, (q31_t)0x259738d1, (q31_t)0x25913734, (q31_t)0x258b3580,
+  (q31_t)0x258533b5, (q31_t)0x257f31d2, (q31_t)0x25792fd8, (q31_t)0x25732dc8, (q31_t)0x256d2ba0, (q31_t)0x25672961, (q31_t)0x2561270b, (q31_t)0x255b249e,
+  (q31_t)0x2555221a, (q31_t)0x254f1f7e, (q31_t)0x25491ccc, (q31_t)0x25431a03, (q31_t)0x253d1723, (q31_t)0x2537142c, (q31_t)0x2531111e, (q31_t)0x252b0df9,
+  (q31_t)0x25250abd, (q31_t)0x251f076a, (q31_t)0x25190400, (q31_t)0x25130080, (q31_t)0x250cfce8, (q31_t)0x2506f93a, (q31_t)0x2500f574, (q31_t)0x24faf198,
+  (q31_t)0x24f4eda6, (q31_t)0x24eee99c, (q31_t)0x24e8e57c, (q31_t)0x24e2e144, (q31_t)0x24dcdcf6, (q31_t)0x24d6d892, (q31_t)0x24d0d416, (q31_t)0x24cacf84,
+  (q31_t)0x24c4cadb, (q31_t)0x24bec61c, (q31_t)0x24b8c146, (q31_t)0x24b2bc59, (q31_t)0x24acb756, (q31_t)0x24a6b23b, (q31_t)0x24a0ad0b, (q31_t)0x249aa7c4,
+  (q31_t)0x2494a266, (q31_t)0x248e9cf1, (q31_t)0x24889766, (q31_t)0x248291c5, (q31_t)0x247c8c0d, (q31_t)0x2476863e, (q31_t)0x24708059, (q31_t)0x246a7a5e,
+  (q31_t)0x2464744c, (q31_t)0x245e6e23, (q31_t)0x245867e4, (q31_t)0x2452618f, (q31_t)0x244c5b24, (q31_t)0x244654a1, (q31_t)0x24404e09, (q31_t)0x243a475a,
+  (q31_t)0x24344095, (q31_t)0x242e39ba, (q31_t)0x242832c8, (q31_t)0x24222bc0, (q31_t)0x241c24a1, (q31_t)0x24161d6d, (q31_t)0x24101622, (q31_t)0x240a0ec1,
+  (q31_t)0x24040749, (q31_t)0x23fdffbc, (q31_t)0x23f7f818, (q31_t)0x23f1f05e, (q31_t)0x23ebe88e, (q31_t)0x23e5e0a7, (q31_t)0x23dfd8ab, (q31_t)0x23d9d098,
+  (q31_t)0x23d3c86f, (q31_t)0x23cdc031, (q31_t)0x23c7b7dc, (q31_t)0x23c1af71, (q31_t)0x23bba6f0, (q31_t)0x23b59e59, (q31_t)0x23af95ac, (q31_t)0x23a98ce8,
+  (q31_t)0x23a3840f, (q31_t)0x239d7b20, (q31_t)0x2397721b, (q31_t)0x23916900, (q31_t)0x238b5fcf, (q31_t)0x23855688, (q31_t)0x237f4d2b, (q31_t)0x237943b9,
+  (q31_t)0x23733a30, (q31_t)0x236d3092, (q31_t)0x236726dd, (q31_t)0x23611d13, (q31_t)0x235b1333, (q31_t)0x2355093e, (q31_t)0x234eff32, (q31_t)0x2348f511,
+  (q31_t)0x2342eada, (q31_t)0x233ce08d, (q31_t)0x2336d62a, (q31_t)0x2330cbb2, (q31_t)0x232ac124, (q31_t)0x2324b680, (q31_t)0x231eabc7, (q31_t)0x2318a0f8,
+  (q31_t)0x23129613, (q31_t)0x230c8b19, (q31_t)0x23068009, (q31_t)0x230074e3, (q31_t)0x22fa69a8, (q31_t)0x22f45e57, (q31_t)0x22ee52f1, (q31_t)0x22e84775,
+  (q31_t)0x22e23be4, (q31_t)0x22dc303d, (q31_t)0x22d62480, (q31_t)0x22d018ae, (q31_t)0x22ca0cc7, (q31_t)0x22c400ca, (q31_t)0x22bdf4b8, (q31_t)0x22b7e890,
+  (q31_t)0x22b1dc53, (q31_t)0x22abd001, (q31_t)0x22a5c399, (q31_t)0x229fb71b, (q31_t)0x2299aa89, (q31_t)0x22939de1, (q31_t)0x228d9123, (q31_t)0x22878451,
+  (q31_t)0x22817769, (q31_t)0x227b6a6c, (q31_t)0x22755d59, (q31_t)0x226f5032, (q31_t)0x226942f5, (q31_t)0x226335a2, (q31_t)0x225d283b, (q31_t)0x22571abe,
+  (q31_t)0x22510d2d, (q31_t)0x224aff86, (q31_t)0x2244f1c9, (q31_t)0x223ee3f8, (q31_t)0x2238d612, (q31_t)0x2232c816, (q31_t)0x222cba06, (q31_t)0x2226abe0,
+  (q31_t)0x22209da5, (q31_t)0x221a8f56, (q31_t)0x221480f1, (q31_t)0x220e7277, (q31_t)0x220863e8, (q31_t)0x22025544, (q31_t)0x21fc468b, (q31_t)0x21f637be,
+  (q31_t)0x21f028db, (q31_t)0x21ea19e3, (q31_t)0x21e40ad7, (q31_t)0x21ddfbb5, (q31_t)0x21d7ec7f, (q31_t)0x21d1dd34, (q31_t)0x21cbcdd3, (q31_t)0x21c5be5e,
+  (q31_t)0x21bfaed5, (q31_t)0x21b99f36, (q31_t)0x21b38f83, (q31_t)0x21ad7fba, (q31_t)0x21a76fdd, (q31_t)0x21a15fec, (q31_t)0x219b4fe5, (q31_t)0x21953fca,
+  (q31_t)0x218f2f9a, (q31_t)0x21891f55, (q31_t)0x21830efc, (q31_t)0x217cfe8e, (q31_t)0x2176ee0b, (q31_t)0x2170dd74, (q31_t)0x216accc8, (q31_t)0x2164bc08,
+  (q31_t)0x215eab33, (q31_t)0x21589a49, (q31_t)0x2152894b, (q31_t)0x214c7838, (q31_t)0x21466710, (q31_t)0x214055d4, (q31_t)0x213a4484, (q31_t)0x2134331f,
+  (q31_t)0x212e21a6, (q31_t)0x21281018, (q31_t)0x2121fe76, (q31_t)0x211becbf, (q31_t)0x2115daf4, (q31_t)0x210fc914, (q31_t)0x2109b720, (q31_t)0x2103a518,
+  (q31_t)0x20fd92fb, (q31_t)0x20f780ca, (q31_t)0x20f16e84, (q31_t)0x20eb5c2b, (q31_t)0x20e549bd, (q31_t)0x20df373a, (q31_t)0x20d924a4, (q31_t)0x20d311f9,
+  (q31_t)0x20ccff3a, (q31_t)0x20c6ec66, (q31_t)0x20c0d97f, (q31_t)0x20bac683, (q31_t)0x20b4b373, (q31_t)0x20aea04f, (q31_t)0x20a88d17, (q31_t)0x20a279ca,
+  (q31_t)0x209c666a, (q31_t)0x209652f5, (q31_t)0x20903f6c, (q31_t)0x208a2bcf, (q31_t)0x2084181e, (q31_t)0x207e0459, (q31_t)0x2077f080, (q31_t)0x2071dc93,
+  (q31_t)0x206bc892, (q31_t)0x2065b47d, (q31_t)0x205fa054, (q31_t)0x20598c17, (q31_t)0x205377c6, (q31_t)0x204d6361, (q31_t)0x20474ee8, (q31_t)0x20413a5b,
+  (q31_t)0x203b25bb, (q31_t)0x20351106, (q31_t)0x202efc3e, (q31_t)0x2028e761, (q31_t)0x2022d271, (q31_t)0x201cbd6d, (q31_t)0x2016a856, (q31_t)0x2010932a,
+  (q31_t)0x200a7deb, (q31_t)0x20046898, (q31_t)0x1ffe5331, (q31_t)0x1ff83db6, (q31_t)0x1ff22828, (q31_t)0x1fec1286, (q31_t)0x1fe5fcd0, (q31_t)0x1fdfe707,
+  (q31_t)0x1fd9d12a, (q31_t)0x1fd3bb39, (q31_t)0x1fcda535, (q31_t)0x1fc78f1d, (q31_t)0x1fc178f1, (q31_t)0x1fbb62b2, (q31_t)0x1fb54c60, (q31_t)0x1faf35f9,
+  (q31_t)0x1fa91f80, (q31_t)0x1fa308f2, (q31_t)0x1f9cf252, (q31_t)0x1f96db9d, (q31_t)0x1f90c4d5, (q31_t)0x1f8aadfa, (q31_t)0x1f84970b, (q31_t)0x1f7e8009,
+  (q31_t)0x1f7868f4, (q31_t)0x1f7251ca, (q31_t)0x1f6c3a8e, (q31_t)0x1f66233e, (q31_t)0x1f600bdb, (q31_t)0x1f59f465, (q31_t)0x1f53dcdb, (q31_t)0x1f4dc53d,
+  (q31_t)0x1f47ad8d, (q31_t)0x1f4195c9, (q31_t)0x1f3b7df2, (q31_t)0x1f356608, (q31_t)0x1f2f4e0a, (q31_t)0x1f2935f9, (q31_t)0x1f231dd5, (q31_t)0x1f1d059e,
+  (q31_t)0x1f16ed54, (q31_t)0x1f10d4f6, (q31_t)0x1f0abc85, (q31_t)0x1f04a401, (q31_t)0x1efe8b6a, (q31_t)0x1ef872c0, (q31_t)0x1ef25a03, (q31_t)0x1eec4132,
+  (q31_t)0x1ee6284f, (q31_t)0x1ee00f58, (q31_t)0x1ed9f64f, (q31_t)0x1ed3dd32, (q31_t)0x1ecdc402, (q31_t)0x1ec7aac0, (q31_t)0x1ec1916a, (q31_t)0x1ebb7802,
+  (q31_t)0x1eb55e86, (q31_t)0x1eaf44f8, (q31_t)0x1ea92b56, (q31_t)0x1ea311a2, (q31_t)0x1e9cf7db, (q31_t)0x1e96de01, (q31_t)0x1e90c414, (q31_t)0x1e8aaa14,
+  (q31_t)0x1e849001, (q31_t)0x1e7e75dc, (q31_t)0x1e785ba3, (q31_t)0x1e724158, (q31_t)0x1e6c26fa, (q31_t)0x1e660c8a, (q31_t)0x1e5ff206, (q31_t)0x1e59d770,
+  (q31_t)0x1e53bcc7, (q31_t)0x1e4da20c, (q31_t)0x1e47873d, (q31_t)0x1e416c5d, (q31_t)0x1e3b5169, (q31_t)0x1e353663, (q31_t)0x1e2f1b4a, (q31_t)0x1e29001e,
+  (q31_t)0x1e22e4e0, (q31_t)0x1e1cc990, (q31_t)0x1e16ae2c, (q31_t)0x1e1092b6, (q31_t)0x1e0a772e, (q31_t)0x1e045b93, (q31_t)0x1dfe3fe6, (q31_t)0x1df82426,
+  (q31_t)0x1df20853, (q31_t)0x1debec6f, (q31_t)0x1de5d077, (q31_t)0x1ddfb46e, (q31_t)0x1dd99851, (q31_t)0x1dd37c23, (q31_t)0x1dcd5fe2, (q31_t)0x1dc7438e,
+  (q31_t)0x1dc12729, (q31_t)0x1dbb0ab0, (q31_t)0x1db4ee26, (q31_t)0x1daed189, (q31_t)0x1da8b4da, (q31_t)0x1da29819, (q31_t)0x1d9c7b45, (q31_t)0x1d965e5f,
+  (q31_t)0x1d904167, (q31_t)0x1d8a245c, (q31_t)0x1d840740, (q31_t)0x1d7dea11, (q31_t)0x1d77ccd0, (q31_t)0x1d71af7d, (q31_t)0x1d6b9217, (q31_t)0x1d6574a0,
+  (q31_t)0x1d5f5716, (q31_t)0x1d59397a, (q31_t)0x1d531bcc, (q31_t)0x1d4cfe0d, (q31_t)0x1d46e03a, (q31_t)0x1d40c256, (q31_t)0x1d3aa460, (q31_t)0x1d348658,
+  (q31_t)0x1d2e683e, (q31_t)0x1d284a12, (q31_t)0x1d222bd3, (q31_t)0x1d1c0d83, (q31_t)0x1d15ef21, (q31_t)0x1d0fd0ad, (q31_t)0x1d09b227, (q31_t)0x1d03938f,
+  (q31_t)0x1cfd74e5, (q31_t)0x1cf7562a, (q31_t)0x1cf1375c, (q31_t)0x1ceb187d, (q31_t)0x1ce4f98c, (q31_t)0x1cdeda89, (q31_t)0x1cd8bb74, (q31_t)0x1cd29c4d,
+  (q31_t)0x1ccc7d15, (q31_t)0x1cc65dca, (q31_t)0x1cc03e6e, (q31_t)0x1cba1f01, (q31_t)0x1cb3ff81, (q31_t)0x1caddff0, (q31_t)0x1ca7c04d, (q31_t)0x1ca1a099,
+  (q31_t)0x1c9b80d3, (q31_t)0x1c9560fb, (q31_t)0x1c8f4112, (q31_t)0x1c892117, (q31_t)0x1c83010a, (q31_t)0x1c7ce0ec, (q31_t)0x1c76c0bc, (q31_t)0x1c70a07b,
+  (q31_t)0x1c6a8028, (q31_t)0x1c645fc3, (q31_t)0x1c5e3f4d, (q31_t)0x1c581ec6, (q31_t)0x1c51fe2d, (q31_t)0x1c4bdd83, (q31_t)0x1c45bcc7, (q31_t)0x1c3f9bf9,
+  (q31_t)0x1c397b1b, (q31_t)0x1c335a2b, (q31_t)0x1c2d3929, (q31_t)0x1c271816, (q31_t)0x1c20f6f2, (q31_t)0x1c1ad5bc, (q31_t)0x1c14b475, (q31_t)0x1c0e931d,
+  (q31_t)0x1c0871b4, (q31_t)0x1c025039, (q31_t)0x1bfc2ead, (q31_t)0x1bf60d0f, (q31_t)0x1befeb60, (q31_t)0x1be9c9a1, (q31_t)0x1be3a7cf, (q31_t)0x1bdd85ed,
+  (q31_t)0x1bd763fa, (q31_t)0x1bd141f5, (q31_t)0x1bcb1fdf, (q31_t)0x1bc4fdb8, (q31_t)0x1bbedb80, (q31_t)0x1bb8b937, (q31_t)0x1bb296dc, (q31_t)0x1bac7471,
+  (q31_t)0x1ba651f5, (q31_t)0x1ba02f67, (q31_t)0x1b9a0cc8, (q31_t)0x1b93ea19, (q31_t)0x1b8dc758, (q31_t)0x1b87a487, (q31_t)0x1b8181a4, (q31_t)0x1b7b5eb0,
+  (q31_t)0x1b753bac, (q31_t)0x1b6f1897, (q31_t)0x1b68f570, (q31_t)0x1b62d239, (q31_t)0x1b5caef1, (q31_t)0x1b568b98, (q31_t)0x1b50682e, (q31_t)0x1b4a44b3,
+  (q31_t)0x1b442127, (q31_t)0x1b3dfd8b, (q31_t)0x1b37d9de, (q31_t)0x1b31b620, (q31_t)0x1b2b9251, (q31_t)0x1b256e71, (q31_t)0x1b1f4a81, (q31_t)0x1b192680,
+  (q31_t)0x1b13026e, (q31_t)0x1b0cde4c, (q31_t)0x1b06ba19, (q31_t)0x1b0095d5, (q31_t)0x1afa7180, (q31_t)0x1af44d1b, (q31_t)0x1aee28a6, (q31_t)0x1ae8041f,
+  (q31_t)0x1ae1df88, (q31_t)0x1adbbae1, (q31_t)0x1ad59629, (q31_t)0x1acf7160, (q31_t)0x1ac94c87, (q31_t)0x1ac3279d, (q31_t)0x1abd02a3, (q31_t)0x1ab6dd98,
+  (q31_t)0x1ab0b87d, (q31_t)0x1aaa9352, (q31_t)0x1aa46e16, (q31_t)0x1a9e48c9, (q31_t)0x1a98236c, (q31_t)0x1a91fdff, (q31_t)0x1a8bd881, (q31_t)0x1a85b2f3,
+  (q31_t)0x1a7f8d54, (q31_t)0x1a7967a6, (q31_t)0x1a7341e6, (q31_t)0x1a6d1c17, (q31_t)0x1a66f637, (q31_t)0x1a60d047, (q31_t)0x1a5aaa47, (q31_t)0x1a548436,
+  (q31_t)0x1a4e5e15, (q31_t)0x1a4837e4, (q31_t)0x1a4211a3, (q31_t)0x1a3beb52, (q31_t)0x1a35c4f0, (q31_t)0x1a2f9e7e, (q31_t)0x1a2977fc, (q31_t)0x1a23516a,
+  (q31_t)0x1a1d2ac8, (q31_t)0x1a170416, (q31_t)0x1a10dd53, (q31_t)0x1a0ab681, (q31_t)0x1a048f9e, (q31_t)0x19fe68ac, (q31_t)0x19f841a9, (q31_t)0x19f21a96,
+  (q31_t)0x19ebf374, (q31_t)0x19e5cc41, (q31_t)0x19dfa4fe, (q31_t)0x19d97dac, (q31_t)0x19d35649, (q31_t)0x19cd2ed7, (q31_t)0x19c70754, (q31_t)0x19c0dfc2,
+  (q31_t)0x19bab820, (q31_t)0x19b4906e, (q31_t)0x19ae68ac, (q31_t)0x19a840da, (q31_t)0x19a218f9, (q31_t)0x199bf107, (q31_t)0x1995c906, (q31_t)0x198fa0f5,
+  (q31_t)0x198978d4, (q31_t)0x198350a4, (q31_t)0x197d2864, (q31_t)0x19770014, (q31_t)0x1970d7b4, (q31_t)0x196aaf45, (q31_t)0x196486c6, (q31_t)0x195e5e37,
+  (q31_t)0x19583599, (q31_t)0x19520ceb, (q31_t)0x194be42d, (q31_t)0x1945bb60, (q31_t)0x193f9283, (q31_t)0x19396997, (q31_t)0x1933409b, (q31_t)0x192d178f,
+  (q31_t)0x1926ee74, (q31_t)0x1920c54a, (q31_t)0x191a9c10, (q31_t)0x191472c6, (q31_t)0x190e496d, (q31_t)0x19082005, (q31_t)0x1901f68d, (q31_t)0x18fbcd06,
+  (q31_t)0x18f5a36f, (q31_t)0x18ef79c9, (q31_t)0x18e95014, (q31_t)0x18e3264f, (q31_t)0x18dcfc7b, (q31_t)0x18d6d297, (q31_t)0x18d0a8a4, (q31_t)0x18ca7ea2,
+  (q31_t)0x18c45491, (q31_t)0x18be2a70, (q31_t)0x18b80040, (q31_t)0x18b1d601, (q31_t)0x18ababb2, (q31_t)0x18a58154, (q31_t)0x189f56e8, (q31_t)0x18992c6b,
+  (q31_t)0x189301e0, (q31_t)0x188cd746, (q31_t)0x1886ac9c, (q31_t)0x188081e4, (q31_t)0x187a571c, (q31_t)0x18742c45, (q31_t)0x186e015f, (q31_t)0x1867d66a,
+  (q31_t)0x1861ab66, (q31_t)0x185b8053, (q31_t)0x18555530, (q31_t)0x184f29ff, (q31_t)0x1848febf, (q31_t)0x1842d370, (q31_t)0x183ca812, (q31_t)0x18367ca5,
+  (q31_t)0x18305129, (q31_t)0x182a259e, (q31_t)0x1823fa04, (q31_t)0x181dce5b, (q31_t)0x1817a2a4, (q31_t)0x181176dd, (q31_t)0x180b4b08, (q31_t)0x18051f24,
+  (q31_t)0x17fef331, (q31_t)0x17f8c72f, (q31_t)0x17f29b1e, (q31_t)0x17ec6eff, (q31_t)0x17e642d1, (q31_t)0x17e01694, (q31_t)0x17d9ea49, (q31_t)0x17d3bdee,
+  (q31_t)0x17cd9186, (q31_t)0x17c7650e, (q31_t)0x17c13888, (q31_t)0x17bb0bf3, (q31_t)0x17b4df4f, (q31_t)0x17aeb29d, (q31_t)0x17a885dc, (q31_t)0x17a2590d,
+  (q31_t)0x179c2c2f, (q31_t)0x1795ff42, (q31_t)0x178fd247, (q31_t)0x1789a53d, (q31_t)0x17837825, (q31_t)0x177d4afe, (q31_t)0x17771dc9, (q31_t)0x1770f086,
+  (q31_t)0x176ac333, (q31_t)0x176495d3, (q31_t)0x175e6864, (q31_t)0x17583ae7, (q31_t)0x17520d5b, (q31_t)0x174bdfc1, (q31_t)0x1745b218, (q31_t)0x173f8461,
+  (q31_t)0x1739569c, (q31_t)0x173328c8, (q31_t)0x172cfae6, (q31_t)0x1726ccf6, (q31_t)0x17209ef8, (q31_t)0x171a70eb, (q31_t)0x171442d0, (q31_t)0x170e14a7,
+  (q31_t)0x1707e670, (q31_t)0x1701b82a, (q31_t)0x16fb89d6, (q31_t)0x16f55b74, (q31_t)0x16ef2d04, (q31_t)0x16e8fe86, (q31_t)0x16e2cff9, (q31_t)0x16dca15f,
+  (q31_t)0x16d672b6, (q31_t)0x16d043ff, (q31_t)0x16ca153a, (q31_t)0x16c3e667, (q31_t)0x16bdb787, (q31_t)0x16b78898, (q31_t)0x16b1599b, (q31_t)0x16ab2a90,
+  (q31_t)0x16a4fb77, (q31_t)0x169ecc50, (q31_t)0x16989d1b, (q31_t)0x16926dd8, (q31_t)0x168c3e87, (q31_t)0x16860f29, (q31_t)0x167fdfbc, (q31_t)0x1679b042,
+  (q31_t)0x167380ba, (q31_t)0x166d5123, (q31_t)0x1667217f, (q31_t)0x1660f1ce, (q31_t)0x165ac20e, (q31_t)0x16549241, (q31_t)0x164e6266, (q31_t)0x1648327d,
+  (q31_t)0x16420286, (q31_t)0x163bd282, (q31_t)0x1635a270, (q31_t)0x162f7250, (q31_t)0x16294222, (q31_t)0x162311e7, (q31_t)0x161ce19e, (q31_t)0x1616b148,
+  (q31_t)0x161080e4, (q31_t)0x160a5072, (q31_t)0x16041ff3, (q31_t)0x15fdef66, (q31_t)0x15f7becc, (q31_t)0x15f18e24, (q31_t)0x15eb5d6e, (q31_t)0x15e52cab,
+  (q31_t)0x15defbdb, (q31_t)0x15d8cafd, (q31_t)0x15d29a11, (q31_t)0x15cc6918, (q31_t)0x15c63812, (q31_t)0x15c006fe, (q31_t)0x15b9d5dd, (q31_t)0x15b3a4ae,
+  (q31_t)0x15ad7372, (q31_t)0x15a74228, (q31_t)0x15a110d2, (q31_t)0x159adf6e, (q31_t)0x1594adfc, (q31_t)0x158e7c7d, (q31_t)0x15884af1, (q31_t)0x15821958,
+  (q31_t)0x157be7b1, (q31_t)0x1575b5fe, (q31_t)0x156f843c, (q31_t)0x1569526e, (q31_t)0x15632093, (q31_t)0x155ceeaa, (q31_t)0x1556bcb4, (q31_t)0x15508ab1,
+  (q31_t)0x154a58a1, (q31_t)0x15442683, (q31_t)0x153df459, (q31_t)0x1537c221, (q31_t)0x15318fdd, (q31_t)0x152b5d8b, (q31_t)0x15252b2c, (q31_t)0x151ef8c0,
+  (q31_t)0x1518c648, (q31_t)0x151293c2, (q31_t)0x150c612f, (q31_t)0x15062e8f, (q31_t)0x14fffbe2, (q31_t)0x14f9c928, (q31_t)0x14f39662, (q31_t)0x14ed638e,
+  (q31_t)0x14e730ae, (q31_t)0x14e0fdc0, (q31_t)0x14dacac6, (q31_t)0x14d497bf, (q31_t)0x14ce64ab, (q31_t)0x14c8318a, (q31_t)0x14c1fe5c, (q31_t)0x14bbcb22,
+  (q31_t)0x14b597da, (q31_t)0x14af6486, (q31_t)0x14a93125, (q31_t)0x14a2fdb8, (q31_t)0x149cca3e, (q31_t)0x149696b7, (q31_t)0x14906323, (q31_t)0x148a2f82,
+  (q31_t)0x1483fbd5, (q31_t)0x147dc81c, (q31_t)0x14779455, (q31_t)0x14716082, (q31_t)0x146b2ca3, (q31_t)0x1464f8b7, (q31_t)0x145ec4be, (q31_t)0x145890b9,
+  (q31_t)0x14525ca7, (q31_t)0x144c2888, (q31_t)0x1445f45d, (q31_t)0x143fc026, (q31_t)0x14398be2, (q31_t)0x14335792, (q31_t)0x142d2335, (q31_t)0x1426eecb,
+  (q31_t)0x1420ba56, (q31_t)0x141a85d3, (q31_t)0x14145145, (q31_t)0x140e1caa, (q31_t)0x1407e803, (q31_t)0x1401b34f, (q31_t)0x13fb7e8f, (q31_t)0x13f549c3,
+  (q31_t)0x13ef14ea, (q31_t)0x13e8e005, (q31_t)0x13e2ab14, (q31_t)0x13dc7616, (q31_t)0x13d6410d, (q31_t)0x13d00bf7, (q31_t)0x13c9d6d4, (q31_t)0x13c3a1a6,
+  (q31_t)0x13bd6c6b, (q31_t)0x13b73725, (q31_t)0x13b101d2, (q31_t)0x13aacc73, (q31_t)0x13a49707, (q31_t)0x139e6190, (q31_t)0x13982c0d, (q31_t)0x1391f67d,
+  (q31_t)0x138bc0e1, (q31_t)0x13858b3a, (q31_t)0x137f5586, (q31_t)0x13791fc6, (q31_t)0x1372e9fb, (q31_t)0x136cb423, (q31_t)0x13667e3f, (q31_t)0x13604850,
+  (q31_t)0x135a1254, (q31_t)0x1353dc4c, (q31_t)0x134da639, (q31_t)0x1347701a, (q31_t)0x134139ee, (q31_t)0x133b03b7, (q31_t)0x1334cd74, (q31_t)0x132e9725,
+  (q31_t)0x132860ca, (q31_t)0x13222a64, (q31_t)0x131bf3f2, (q31_t)0x1315bd73, (q31_t)0x130f86ea, (q31_t)0x13095054, (q31_t)0x130319b3, (q31_t)0x12fce305,
+  (q31_t)0x12f6ac4d, (q31_t)0x12f07588, (q31_t)0x12ea3eb8, (q31_t)0x12e407dc, (q31_t)0x12ddd0f4, (q31_t)0x12d79a01, (q31_t)0x12d16303, (q31_t)0x12cb2bf8,
+  (q31_t)0x12c4f4e2, (q31_t)0x12bebdc1, (q31_t)0x12b88693, (q31_t)0x12b24f5b, (q31_t)0x12ac1817, (q31_t)0x12a5e0c7, (q31_t)0x129fa96c, (q31_t)0x12997205,
+  (q31_t)0x12933a93, (q31_t)0x128d0315, (q31_t)0x1286cb8c, (q31_t)0x128093f7, (q31_t)0x127a5c57, (q31_t)0x127424ac, (q31_t)0x126decf5, (q31_t)0x1267b533,
+  (q31_t)0x12617d66, (q31_t)0x125b458d, (q31_t)0x12550da9, (q31_t)0x124ed5ba, (q31_t)0x12489dbf, (q31_t)0x124265b9, (q31_t)0x123c2da8, (q31_t)0x1235f58b,
+  (q31_t)0x122fbd63, (q31_t)0x12298530, (q31_t)0x12234cf2, (q31_t)0x121d14a9, (q31_t)0x1216dc54, (q31_t)0x1210a3f5, (q31_t)0x120a6b8a, (q31_t)0x12043314,
+  (q31_t)0x11fdfa93, (q31_t)0x11f7c207, (q31_t)0x11f18970, (q31_t)0x11eb50cd, (q31_t)0x11e51820, (q31_t)0x11dedf68, (q31_t)0x11d8a6a4, (q31_t)0x11d26dd6,
+  (q31_t)0x11cc34fc, (q31_t)0x11c5fc18, (q31_t)0x11bfc329, (q31_t)0x11b98a2e, (q31_t)0x11b35129, (q31_t)0x11ad1819, (q31_t)0x11a6defe, (q31_t)0x11a0a5d8,
+  (q31_t)0x119a6ca7, (q31_t)0x1194336b, (q31_t)0x118dfa25, (q31_t)0x1187c0d3, (q31_t)0x11818777, (q31_t)0x117b4e10, (q31_t)0x1175149e, (q31_t)0x116edb22,
+  (q31_t)0x1168a19b, (q31_t)0x11626809, (q31_t)0x115c2e6c, (q31_t)0x1155f4c4, (q31_t)0x114fbb12, (q31_t)0x11498156, (q31_t)0x1143478e, (q31_t)0x113d0dbc,
+  (q31_t)0x1136d3df, (q31_t)0x113099f8, (q31_t)0x112a6006, (q31_t)0x11242609, (q31_t)0x111dec02, (q31_t)0x1117b1f0, (q31_t)0x111177d4, (q31_t)0x110b3dad,
+  (q31_t)0x1105037c, (q31_t)0x10fec940, (q31_t)0x10f88efa, (q31_t)0x10f254a9, (q31_t)0x10ec1a4e, (q31_t)0x10e5dfe8, (q31_t)0x10dfa578, (q31_t)0x10d96afe,
+  (q31_t)0x10d33079, (q31_t)0x10ccf5ea, (q31_t)0x10c6bb50, (q31_t)0x10c080ac, (q31_t)0x10ba45fe, (q31_t)0x10b40b45, (q31_t)0x10add082, (q31_t)0x10a795b5,
+  (q31_t)0x10a15ade, (q31_t)0x109b1ffc, (q31_t)0x1094e510, (q31_t)0x108eaa1a, (q31_t)0x10886f19, (q31_t)0x1082340f, (q31_t)0x107bf8fa, (q31_t)0x1075bddb,
+  (q31_t)0x106f82b2, (q31_t)0x1069477f, (q31_t)0x10630c41, (q31_t)0x105cd0fa, (q31_t)0x105695a8, (q31_t)0x10505a4d, (q31_t)0x104a1ee7, (q31_t)0x1043e377,
+  (q31_t)0x103da7fd, (q31_t)0x10376c79, (q31_t)0x103130ec, (q31_t)0x102af554, (q31_t)0x1024b9b2, (q31_t)0x101e7e06, (q31_t)0x10184251, (q31_t)0x10120691,
+  (q31_t)0x100bcac7, (q31_t)0x10058ef4, (q31_t)0xfff5317, (q31_t)0xff91730, (q31_t)0xff2db3e, (q31_t)0xfec9f44, (q31_t)0xfe6633f, (q31_t)0xfe02730,
+  (q31_t)0xfd9eb18, (q31_t)0xfd3aef6, (q31_t)0xfcd72ca, (q31_t)0xfc73695, (q31_t)0xfc0fa55, (q31_t)0xfbabe0c, (q31_t)0xfb481ba, (q31_t)0xfae455d,
+  (q31_t)0xfa808f7, (q31_t)0xfa1cc87, (q31_t)0xf9b900e, (q31_t)0xf95538b, (q31_t)0xf8f16fe, (q31_t)0xf88da68, (q31_t)0xf829dc8, (q31_t)0xf7c611f,
+  (q31_t)0xf76246c, (q31_t)0xf6fe7af, (q31_t)0xf69aae9, (q31_t)0xf636e1a, (q31_t)0xf5d3141, (q31_t)0xf56f45e, (q31_t)0xf50b773, (q31_t)0xf4a7a7d,
+  (q31_t)0xf443d7e, (q31_t)0xf3e0076, (q31_t)0xf37c365, (q31_t)0xf318649, (q31_t)0xf2b4925, (q31_t)0xf250bf7, (q31_t)0xf1ecec0, (q31_t)0xf189180,
+  (q31_t)0xf125436, (q31_t)0xf0c16e3, (q31_t)0xf05d987, (q31_t)0xeff9c21, (q31_t)0xef95eb2, (q31_t)0xef3213a, (q31_t)0xeece3b9, (q31_t)0xee6a62f,
+  (q31_t)0xee0689b, (q31_t)0xeda2afe, (q31_t)0xed3ed58, (q31_t)0xecdafa9, (q31_t)0xec771f1, (q31_t)0xec1342f, (q31_t)0xebaf665, (q31_t)0xeb4b891,
+  (q31_t)0xeae7ab4, (q31_t)0xea83ccf, (q31_t)0xea1fee0, (q31_t)0xe9bc0e8, (q31_t)0xe9582e7, (q31_t)0xe8f44dd, (q31_t)0xe8906cb, (q31_t)0xe82c8af,
+  (q31_t)0xe7c8a8a, (q31_t)0xe764c5c, (q31_t)0xe700e26, (q31_t)0xe69cfe6, (q31_t)0xe63919e, (q31_t)0xe5d534d, (q31_t)0xe5714f3, (q31_t)0xe50d690,
+  (q31_t)0xe4a9824, (q31_t)0xe4459af, (q31_t)0xe3e1b32, (q31_t)0xe37dcac, (q31_t)0xe319e1d, (q31_t)0xe2b5f85, (q31_t)0xe2520e5, (q31_t)0xe1ee23c,
+  (q31_t)0xe18a38a, (q31_t)0xe1264cf, (q31_t)0xe0c260c, (q31_t)0xe05e740, (q31_t)0xdffa86b, (q31_t)0xdf9698e, (q31_t)0xdf32aa8, (q31_t)0xdecebba,
+  (q31_t)0xde6acc3, (q31_t)0xde06dc3, (q31_t)0xdda2ebb, (q31_t)0xdd3efab, (q31_t)0xdcdb091, (q31_t)0xdc77170, (q31_t)0xdc13245, (q31_t)0xdbaf313,
+  (q31_t)0xdb4b3d7, (q31_t)0xdae7494, (q31_t)0xda83548, (q31_t)0xda1f5f3, (q31_t)0xd9bb696, (q31_t)0xd957731, (q31_t)0xd8f37c3, (q31_t)0xd88f84d,
+  (q31_t)0xd82b8cf, (q31_t)0xd7c7948, (q31_t)0xd7639b9, (q31_t)0xd6ffa22, (q31_t)0xd69ba82, (q31_t)0xd637ada, (q31_t)0xd5d3b2a, (q31_t)0xd56fb71,
+  (q31_t)0xd50bbb1, (q31_t)0xd4a7be8, (q31_t)0xd443c17, (q31_t)0xd3dfc3e, (q31_t)0xd37bc5c, (q31_t)0xd317c73, (q31_t)0xd2b3c81, (q31_t)0xd24fc87,
+  (q31_t)0xd1ebc85, (q31_t)0xd187c7b, (q31_t)0xd123c69, (q31_t)0xd0bfc4f, (q31_t)0xd05bc2d, (q31_t)0xcff7c02, (q31_t)0xcf93bd0, (q31_t)0xcf2fb96,
+  (q31_t)0xcecbb53, (q31_t)0xce67b09, (q31_t)0xce03ab7, (q31_t)0xcd9fa5d, (q31_t)0xcd3b9fb, (q31_t)0xccd7991, (q31_t)0xcc7391f, (q31_t)0xcc0f8a5,
+  (q31_t)0xcbab824, (q31_t)0xcb4779a, (q31_t)0xcae3709, (q31_t)0xca7f670, (q31_t)0xca1b5cf, (q31_t)0xc9b7526, (q31_t)0xc953475, (q31_t)0xc8ef3bd,
+  (q31_t)0xc88b2fd, (q31_t)0xc827235, (q31_t)0xc7c3166, (q31_t)0xc75f08f, (q31_t)0xc6fafb0, (q31_t)0xc696ec9, (q31_t)0xc632ddb, (q31_t)0xc5cece5,
+  (q31_t)0xc56abe8, (q31_t)0xc506ae3, (q31_t)0xc4a29d6, (q31_t)0xc43e8c2, (q31_t)0xc3da7a6, (q31_t)0xc376683, (q31_t)0xc312558, (q31_t)0xc2ae425,
+  (q31_t)0xc24a2eb, (q31_t)0xc1e61aa, (q31_t)0xc182061, (q31_t)0xc11df11, (q31_t)0xc0b9db9, (q31_t)0xc055c5a, (q31_t)0xbff1af3, (q31_t)0xbf8d985,
+  (q31_t)0xbf29810, (q31_t)0xbec5693, (q31_t)0xbe6150f, (q31_t)0xbdfd383, (q31_t)0xbd991f0, (q31_t)0xbd35056, (q31_t)0xbcd0eb5, (q31_t)0xbc6cd0c,
+  (q31_t)0xbc08b5c, (q31_t)0xbba49a5, (q31_t)0xbb407e7, (q31_t)0xbadc621, (q31_t)0xba78454, (q31_t)0xba14280, (q31_t)0xb9b00a5, (q31_t)0xb94bec2,
+  (q31_t)0xb8e7cd9, (q31_t)0xb883ae8, (q31_t)0xb81f8f0, (q31_t)0xb7bb6f2, (q31_t)0xb7574ec, (q31_t)0xb6f32df, (q31_t)0xb68f0cb, (q31_t)0xb62aeaf,
+  (q31_t)0xb5c6c8d, (q31_t)0xb562a64, (q31_t)0xb4fe834, (q31_t)0xb49a5fd, (q31_t)0xb4363bf, (q31_t)0xb3d217a, (q31_t)0xb36df2e, (q31_t)0xb309cdb,
+  (q31_t)0xb2a5a81, (q31_t)0xb241820, (q31_t)0xb1dd5b9, (q31_t)0xb17934b, (q31_t)0xb1150d5, (q31_t)0xb0b0e59, (q31_t)0xb04cbd6, (q31_t)0xafe894d,
+  (q31_t)0xaf846bc, (q31_t)0xaf20425, (q31_t)0xaebc187, (q31_t)0xae57ee2, (q31_t)0xadf3c37, (q31_t)0xad8f985, (q31_t)0xad2b6cc, (q31_t)0xacc740c,
+  (q31_t)0xac63146, (q31_t)0xabfee79, (q31_t)0xab9aba6, (q31_t)0xab368cc, (q31_t)0xaad25eb, (q31_t)0xaa6e304, (q31_t)0xaa0a016, (q31_t)0xa9a5d22,
+  (q31_t)0xa941a27, (q31_t)0xa8dd725, (q31_t)0xa87941d, (q31_t)0xa81510f, (q31_t)0xa7b0dfa, (q31_t)0xa74cadf, (q31_t)0xa6e87bd, (q31_t)0xa684495,
+  (q31_t)0xa620166, (q31_t)0xa5bbe31, (q31_t)0xa557af5, (q31_t)0xa4f37b3, (q31_t)0xa48f46b, (q31_t)0xa42b11d, (q31_t)0xa3c6dc8, (q31_t)0xa362a6d,
+  (q31_t)0xa2fe70b, (q31_t)0xa29a3a3, (q31_t)0xa236035, (q31_t)0xa1d1cc1, (q31_t)0xa16d946, (q31_t)0xa1095c6, (q31_t)0xa0a523f, (q31_t)0xa040eb1,
+  (q31_t)0x9fdcb1e, (q31_t)0x9f78784, (q31_t)0x9f143e5, (q31_t)0x9eb003f, (q31_t)0x9e4bc93, (q31_t)0x9de78e1, (q31_t)0x9d83529, (q31_t)0x9d1f16b,
+  (q31_t)0x9cbada7, (q31_t)0x9c569dc, (q31_t)0x9bf260c, (q31_t)0x9b8e236, (q31_t)0x9b29e59, (q31_t)0x9ac5a77, (q31_t)0x9a6168f, (q31_t)0x99fd2a0,
+  (q31_t)0x9998eac, (q31_t)0x9934ab2, (q31_t)0x98d06b2, (q31_t)0x986c2ac, (q31_t)0x9807ea1, (q31_t)0x97a3a8f, (q31_t)0x973f678, (q31_t)0x96db25a,
+  (q31_t)0x9676e37, (q31_t)0x9612a0e, (q31_t)0x95ae5e0, (q31_t)0x954a1ab, (q31_t)0x94e5d71, (q31_t)0x9481931, (q31_t)0x941d4eb, (q31_t)0x93b90a0,
+  (q31_t)0x9354c4f, (q31_t)0x92f07f8, (q31_t)0x928c39b, (q31_t)0x9227f39, (q31_t)0x91c3ad2, (q31_t)0x915f664, (q31_t)0x90fb1f1, (q31_t)0x9096d79,
+  (q31_t)0x90328fb, (q31_t)0x8fce477, (q31_t)0x8f69fee, (q31_t)0x8f05b5f, (q31_t)0x8ea16cb, (q31_t)0x8e3d231, (q31_t)0x8dd8d92, (q31_t)0x8d748ed,
+  (q31_t)0x8d10443, (q31_t)0x8cabf93, (q31_t)0x8c47ade, (q31_t)0x8be3624, (q31_t)0x8b7f164, (q31_t)0x8b1ac9f, (q31_t)0x8ab67d4, (q31_t)0x8a52304,
+  (q31_t)0x89ede2f, (q31_t)0x8989955, (q31_t)0x8925475, (q31_t)0x88c0f90, (q31_t)0x885caa5, (q31_t)0x87f85b5, (q31_t)0x87940c1, (q31_t)0x872fbc6,
+  (q31_t)0x86cb6c7, (q31_t)0x86671c2, (q31_t)0x8602cb9, (q31_t)0x859e7aa, (q31_t)0x853a296, (q31_t)0x84d5d7d, (q31_t)0x847185e, (q31_t)0x840d33b,
+  (q31_t)0x83a8e12, (q31_t)0x83448e5, (q31_t)0x82e03b2, (q31_t)0x827be7a, (q31_t)0x821793e, (q31_t)0x81b33fc, (q31_t)0x814eeb5, (q31_t)0x80ea969,
+  (q31_t)0x8086419, (q31_t)0x8021ec3, (q31_t)0x7fbd968, (q31_t)0x7f59409, (q31_t)0x7ef4ea4, (q31_t)0x7e9093b, (q31_t)0x7e2c3cd, (q31_t)0x7dc7e5a,
+  (q31_t)0x7d638e2, (q31_t)0x7cff365, (q31_t)0x7c9ade4, (q31_t)0x7c3685d, (q31_t)0x7bd22d2, (q31_t)0x7b6dd42, (q31_t)0x7b097ad, (q31_t)0x7aa5214,
+  (q31_t)0x7a40c76, (q31_t)0x79dc6d3, (q31_t)0x797812b, (q31_t)0x7913b7f, (q31_t)0x78af5ce, (q31_t)0x784b019, (q31_t)0x77e6a5e, (q31_t)0x77824a0,
+  (q31_t)0x771dedc, (q31_t)0x76b9914, (q31_t)0x7655347, (q31_t)0x75f0d76, (q31_t)0x758c7a1, (q31_t)0x75281c6, (q31_t)0x74c3be7, (q31_t)0x745f604,
+  (q31_t)0x73fb01c, (q31_t)0x7396a30, (q31_t)0x733243f, (q31_t)0x72cde4a, (q31_t)0x7269851, (q31_t)0x7205253, (q31_t)0x71a0c50, (q31_t)0x713c64a,
+  (q31_t)0x70d803f, (q31_t)0x7073a2f, (q31_t)0x700f41b, (q31_t)0x6faae03, (q31_t)0x6f467e7, (q31_t)0x6ee21c6, (q31_t)0x6e7dba1, (q31_t)0x6e19578,
+  (q31_t)0x6db4f4a, (q31_t)0x6d50919, (q31_t)0x6cec2e3, (q31_t)0x6c87ca9, (q31_t)0x6c2366a, (q31_t)0x6bbf028, (q31_t)0x6b5a9e1, (q31_t)0x6af6396,
+  (q31_t)0x6a91d47, (q31_t)0x6a2d6f4, (q31_t)0x69c909d, (q31_t)0x6964a42, (q31_t)0x69003e3, (q31_t)0x689bd80, (q31_t)0x6837718, (q31_t)0x67d30ad,
+  (q31_t)0x676ea3d, (q31_t)0x670a3ca, (q31_t)0x66a5d53, (q31_t)0x66416d8, (q31_t)0x65dd058, (q31_t)0x65789d5, (q31_t)0x651434e, (q31_t)0x64afcc3,
+  (q31_t)0x644b634, (q31_t)0x63e6fa2, (q31_t)0x638290b, (q31_t)0x631e271, (q31_t)0x62b9bd3, (q31_t)0x6255531, (q31_t)0x61f0e8b, (q31_t)0x618c7e1,
+  (q31_t)0x6128134, (q31_t)0x60c3a83, (q31_t)0x605f3ce, (q31_t)0x5ffad15, (q31_t)0x5f96659, (q31_t)0x5f31f99, (q31_t)0x5ecd8d6, (q31_t)0x5e6920e,
+  (q31_t)0x5e04b43, (q31_t)0x5da0475, (q31_t)0x5d3bda3, (q31_t)0x5cd76cd, (q31_t)0x5c72ff4, (q31_t)0x5c0e917, (q31_t)0x5baa237, (q31_t)0x5b45b53,
+  (q31_t)0x5ae146b, (q31_t)0x5a7cd80, (q31_t)0x5a18692, (q31_t)0x59b3fa0, (q31_t)0x594f8aa, (q31_t)0x58eb1b2, (q31_t)0x5886ab5, (q31_t)0x58223b6,
+  (q31_t)0x57bdcb3, (q31_t)0x57595ac, (q31_t)0x56f4ea2, (q31_t)0x5690795, (q31_t)0x562c085, (q31_t)0x55c7971, (q31_t)0x556325a, (q31_t)0x54feb3f,
+  (q31_t)0x549a422, (q31_t)0x5435d01, (q31_t)0x53d15dd, (q31_t)0x536ceb5, (q31_t)0x530878a, (q31_t)0x52a405d, (q31_t)0x523f92c, (q31_t)0x51db1f7,
+  (q31_t)0x5176ac0, (q31_t)0x5112385, (q31_t)0x50adc48, (q31_t)0x5049507, (q31_t)0x4fe4dc3, (q31_t)0x4f8067c, (q31_t)0x4f1bf32, (q31_t)0x4eb77e5,
+  (q31_t)0x4e53095, (q31_t)0x4dee942, (q31_t)0x4d8a1ec, (q31_t)0x4d25a93, (q31_t)0x4cc1337, (q31_t)0x4c5cbd8, (q31_t)0x4bf8476, (q31_t)0x4b93d11,
+  (q31_t)0x4b2f5a9, (q31_t)0x4acae3e, (q31_t)0x4a666d1, (q31_t)0x4a01f60, (q31_t)0x499d7ed, (q31_t)0x4939077, (q31_t)0x48d48fe, (q31_t)0x4870182,
+  (q31_t)0x480ba04, (q31_t)0x47a7282, (q31_t)0x4742afe, (q31_t)0x46de377, (q31_t)0x4679bee, (q31_t)0x4615461, (q31_t)0x45b0cd2, (q31_t)0x454c541,
+  (q31_t)0x44e7dac, (q31_t)0x4483615, (q31_t)0x441ee7c, (q31_t)0x43ba6df, (q31_t)0x4355f40, (q31_t)0x42f179f, (q31_t)0x428cffb, (q31_t)0x4228854,
+  (q31_t)0x41c40ab, (q31_t)0x415f8ff, (q31_t)0x40fb151, (q31_t)0x40969a0, (q31_t)0x40321ed, (q31_t)0x3fcda37, (q31_t)0x3f6927f, (q31_t)0x3f04ac4,
+  (q31_t)0x3ea0307, (q31_t)0x3e3bb48, (q31_t)0x3dd7386, (q31_t)0x3d72bc2, (q31_t)0x3d0e3fb, (q31_t)0x3ca9c32, (q31_t)0x3c45467, (q31_t)0x3be0c99,
+  (q31_t)0x3b7c4c9, (q31_t)0x3b17cf7, (q31_t)0x3ab3523, (q31_t)0x3a4ed4c, (q31_t)0x39ea573, (q31_t)0x3985d97, (q31_t)0x39215ba, (q31_t)0x38bcdda,
+  (q31_t)0x38585f8, (q31_t)0x37f3e14, (q31_t)0x378f62e, (q31_t)0x372ae46, (q31_t)0x36c665b, (q31_t)0x3661e6f, (q31_t)0x35fd680, (q31_t)0x3598e8f,
+  (q31_t)0x353469c, (q31_t)0x34cfea8, (q31_t)0x346b6b1, (q31_t)0x3406eb8, (q31_t)0x33a26bd, (q31_t)0x333dec0, (q31_t)0x32d96c1, (q31_t)0x3274ec0,
+  (q31_t)0x32106bd, (q31_t)0x31abeb9, (q31_t)0x31476b2, (q31_t)0x30e2ea9, (q31_t)0x307e69f, (q31_t)0x3019e93, (q31_t)0x2fb5684, (q31_t)0x2f50e74,
+  (q31_t)0x2eec663, (q31_t)0x2e87e4f, (q31_t)0x2e2363a, (q31_t)0x2dbee22, (q31_t)0x2d5a609, (q31_t)0x2cf5def, (q31_t)0x2c915d2, (q31_t)0x2c2cdb4,
+  (q31_t)0x2bc8594, (q31_t)0x2b63d73, (q31_t)0x2aff54f, (q31_t)0x2a9ad2a, (q31_t)0x2a36504, (q31_t)0x29d1cdc, (q31_t)0x296d4b2, (q31_t)0x2908c87,
+  (q31_t)0x28a445a, (q31_t)0x283fc2b, (q31_t)0x27db3fb, (q31_t)0x2776bc9, (q31_t)0x2712396, (q31_t)0x26adb62, (q31_t)0x264932b, (q31_t)0x25e4af4,
+  (q31_t)0x25802bb, (q31_t)0x251ba80, (q31_t)0x24b7244, (q31_t)0x2452a07, (q31_t)0x23ee1c8, (q31_t)0x2389988, (q31_t)0x2325147, (q31_t)0x22c0904,
+  (q31_t)0x225c0bf, (q31_t)0x21f787a, (q31_t)0x2193033, (q31_t)0x212e7eb, (q31_t)0x20c9fa1, (q31_t)0x2065757, (q31_t)0x2000f0b, (q31_t)0x1f9c6be,
+  (q31_t)0x1f37e6f, (q31_t)0x1ed3620, (q31_t)0x1e6edcf, (q31_t)0x1e0a57d, (q31_t)0x1da5d2a, (q31_t)0x1d414d6, (q31_t)0x1cdcc80, (q31_t)0x1c7842a,
+  (q31_t)0x1c13bd2, (q31_t)0x1baf37a, (q31_t)0x1b4ab20, (q31_t)0x1ae62c5, (q31_t)0x1a81a69, (q31_t)0x1a1d20c, (q31_t)0x19b89ae, (q31_t)0x1954150,
+  (q31_t)0x18ef8f0, (q31_t)0x188b08f, (q31_t)0x182682d, (q31_t)0x17c1fcb, (q31_t)0x175d767, (q31_t)0x16f8f03, (q31_t)0x169469d, (q31_t)0x162fe37,
+  (q31_t)0x15cb5d0, (q31_t)0x1566d68, (q31_t)0x15024ff, (q31_t)0x149dc96, (q31_t)0x143942b, (q31_t)0x13d4bc0, (q31_t)0x1370354, (q31_t)0x130bae7,
+  (q31_t)0x12a727a, (q31_t)0x1242a0c, (q31_t)0x11de19d, (q31_t)0x117992e, (q31_t)0x11150be, (q31_t)0x10b084d, (q31_t)0x104bfdb, (q31_t)0xfe7769,
+  (q31_t)0xf82ef6, (q31_t)0xf1e683, (q31_t)0xeb9e0f, (q31_t)0xe5559b, (q31_t)0xdf0d26, (q31_t)0xd8c4b0, (q31_t)0xd27c3a, (q31_t)0xcc33c3,
+  (q31_t)0xc5eb4c, (q31_t)0xbfa2d5, (q31_t)0xb95a5d, (q31_t)0xb311e4, (q31_t)0xacc96b, (q31_t)0xa680f2, (q31_t)0xa03878, (q31_t)0x99effe,
+  (q31_t)0x93a784, (q31_t)0x8d5f09, (q31_t)0x87168e, (q31_t)0x80ce12, (q31_t)0x7a8597, (q31_t)0x743d1a, (q31_t)0x6df49e, (q31_t)0x67ac21,
+  (q31_t)0x6163a5, (q31_t)0x5b1b27, (q31_t)0x54d2aa, (q31_t)0x4e8a2c, (q31_t)0x4841af, (q31_t)0x41f931, (q31_t)0x3bb0b3, (q31_t)0x356835,
+  (q31_t)0x2f1fb6, (q31_t)0x28d738, (q31_t)0x228eb9, (q31_t)0x1c463b, (q31_t)0x15fdbc, (q31_t)0xfb53d, (q31_t)0x96cbe, (q31_t)0x3243f
+};
+  #endif
+
+/**
+  @} end of DCT4_IDCT4_Table group
+ */
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_ALLOW_TABLES)
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q15)
+/**
+  @brief  Q15 table for reciprocal
+*/
+const q15_t __ALIGNED(4) armRecipTableQ15[64] = {
+ 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0,
+ 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82,
+ 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484,
+ 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0,
+ 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E,
+ 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255,
+ 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6,
+ 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978,
+ 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8,
+ 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255,
+ 0x41CC, 0x4146, 0x40C2, 0x4040
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_RECIP_Q31)
+
+/**
+  @brief  Q31 table for reciprocal
+*/
+const q31_t armRecipTableQ31[64] = {
+  0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928,
+  0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3,
+  0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519,
+  0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB,
+  0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318,
+  0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0,
+  0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D,
+  0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96,
+  0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2,
+  0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426,
+  0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102
+};
+
+#endif /* !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_F32)
+/**
+  @par
+  Example code for the generation of the floating-point sine table:
+  <pre>
+  tableSize = 512;
+  for (n = 0; n < (tableSize + 1); n++)
+  {
+ 	sinTable[n] = sin(2*PI*n/tableSize);
+  }</pre>
+ @par
+  where PI value is  3.14159265358979
+ */
+const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1] = {
+   0.00000000f, 0.01227154f, 0.02454123f, 0.03680722f, 0.04906767f, 0.06132074f,
+   0.07356456f, 0.08579731f, 0.09801714f, 0.11022221f, 0.12241068f, 0.13458071f,
+   0.14673047f, 0.15885814f, 0.17096189f, 0.18303989f, 0.19509032f, 0.20711138f,
+   0.21910124f, 0.23105811f, 0.24298018f, 0.25486566f, 0.26671276f, 0.27851969f,
+   0.29028468f, 0.30200595f, 0.31368174f, 0.32531029f, 0.33688985f, 0.34841868f,
+   0.35989504f, 0.37131719f, 0.38268343f, 0.39399204f, 0.40524131f, 0.41642956f,
+   0.42755509f, 0.43861624f, 0.44961133f, 0.46053871f, 0.47139674f, 0.48218377f,
+   0.49289819f, 0.50353838f, 0.51410274f, 0.52458968f, 0.53499762f, 0.54532499f,
+   0.55557023f, 0.56573181f, 0.57580819f, 0.58579786f, 0.59569930f, 0.60551104f,
+   0.61523159f, 0.62485949f, 0.63439328f, 0.64383154f, 0.65317284f, 0.66241578f,
+   0.67155895f, 0.68060100f, 0.68954054f, 0.69837625f, 0.70710678f, 0.71573083f,
+   0.72424708f, 0.73265427f, 0.74095113f, 0.74913639f, 0.75720885f, 0.76516727f,
+   0.77301045f, 0.78073723f, 0.78834643f, 0.79583690f, 0.80320753f, 0.81045720f,
+   0.81758481f, 0.82458930f, 0.83146961f, 0.83822471f, 0.84485357f, 0.85135519f,
+   0.85772861f, 0.86397286f, 0.87008699f, 0.87607009f, 0.88192126f, 0.88763962f,
+   0.89322430f, 0.89867447f, 0.90398929f, 0.90916798f, 0.91420976f, 0.91911385f,
+   0.92387953f, 0.92850608f, 0.93299280f, 0.93733901f, 0.94154407f, 0.94560733f,
+   0.94952818f, 0.95330604f, 0.95694034f, 0.96043052f, 0.96377607f, 0.96697647f,
+   0.97003125f, 0.97293995f, 0.97570213f, 0.97831737f, 0.98078528f, 0.98310549f,
+   0.98527764f, 0.98730142f, 0.98917651f, 0.99090264f, 0.99247953f, 0.99390697f,
+   0.99518473f, 0.99631261f, 0.99729046f, 0.99811811f, 0.99879546f, 0.99932238f,
+   0.99969882f, 0.99992470f, 1.00000000f, 0.99992470f, 0.99969882f, 0.99932238f,
+   0.99879546f, 0.99811811f, 0.99729046f, 0.99631261f, 0.99518473f, 0.99390697f,
+   0.99247953f, 0.99090264f, 0.98917651f, 0.98730142f, 0.98527764f, 0.98310549f,
+   0.98078528f, 0.97831737f, 0.97570213f, 0.97293995f, 0.97003125f, 0.96697647f,
+   0.96377607f, 0.96043052f, 0.95694034f, 0.95330604f, 0.94952818f, 0.94560733f,
+   0.94154407f, 0.93733901f, 0.93299280f, 0.92850608f, 0.92387953f, 0.91911385f,
+   0.91420976f, 0.90916798f, 0.90398929f, 0.89867447f, 0.89322430f, 0.88763962f,
+   0.88192126f, 0.87607009f, 0.87008699f, 0.86397286f, 0.85772861f, 0.85135519f,
+   0.84485357f, 0.83822471f, 0.83146961f, 0.82458930f, 0.81758481f, 0.81045720f,
+   0.80320753f, 0.79583690f, 0.78834643f, 0.78073723f, 0.77301045f, 0.76516727f,
+   0.75720885f, 0.74913639f, 0.74095113f, 0.73265427f, 0.72424708f, 0.71573083f,
+   0.70710678f, 0.69837625f, 0.68954054f, 0.68060100f, 0.67155895f, 0.66241578f,
+   0.65317284f, 0.64383154f, 0.63439328f, 0.62485949f, 0.61523159f, 0.60551104f,
+   0.59569930f, 0.58579786f, 0.57580819f, 0.56573181f, 0.55557023f, 0.54532499f,
+   0.53499762f, 0.52458968f, 0.51410274f, 0.50353838f, 0.49289819f, 0.48218377f,
+   0.47139674f, 0.46053871f, 0.44961133f, 0.43861624f, 0.42755509f, 0.41642956f,
+   0.40524131f, 0.39399204f, 0.38268343f, 0.37131719f, 0.35989504f, 0.34841868f,
+   0.33688985f, 0.32531029f, 0.31368174f, 0.30200595f, 0.29028468f, 0.27851969f,
+   0.26671276f, 0.25486566f, 0.24298018f, 0.23105811f, 0.21910124f, 0.20711138f,
+   0.19509032f, 0.18303989f, 0.17096189f, 0.15885814f, 0.14673047f, 0.13458071f,
+   0.12241068f, 0.11022221f, 0.09801714f, 0.08579731f, 0.07356456f, 0.06132074f,
+   0.04906767f, 0.03680722f, 0.02454123f, 0.01227154f, 0.00000000f, -0.01227154f,
+   -0.02454123f, -0.03680722f, -0.04906767f, -0.06132074f, -0.07356456f,
+   -0.08579731f, -0.09801714f, -0.11022221f, -0.12241068f, -0.13458071f,
+   -0.14673047f, -0.15885814f, -0.17096189f, -0.18303989f, -0.19509032f,
+   -0.20711138f, -0.21910124f, -0.23105811f, -0.24298018f, -0.25486566f,
+   -0.26671276f, -0.27851969f, -0.29028468f, -0.30200595f, -0.31368174f,
+   -0.32531029f, -0.33688985f, -0.34841868f, -0.35989504f, -0.37131719f,
+   -0.38268343f, -0.39399204f, -0.40524131f, -0.41642956f, -0.42755509f,
+   -0.43861624f, -0.44961133f, -0.46053871f, -0.47139674f, -0.48218377f,
+   -0.49289819f, -0.50353838f, -0.51410274f, -0.52458968f, -0.53499762f,
+   -0.54532499f, -0.55557023f, -0.56573181f, -0.57580819f, -0.58579786f,
+   -0.59569930f, -0.60551104f, -0.61523159f, -0.62485949f, -0.63439328f,
+   -0.64383154f, -0.65317284f, -0.66241578f, -0.67155895f, -0.68060100f,
+   -0.68954054f, -0.69837625f, -0.70710678f, -0.71573083f, -0.72424708f,
+   -0.73265427f, -0.74095113f, -0.74913639f, -0.75720885f, -0.76516727f,
+   -0.77301045f, -0.78073723f, -0.78834643f, -0.79583690f, -0.80320753f,
+   -0.81045720f, -0.81758481f, -0.82458930f, -0.83146961f, -0.83822471f,
+   -0.84485357f, -0.85135519f, -0.85772861f, -0.86397286f, -0.87008699f,
+   -0.87607009f, -0.88192126f, -0.88763962f, -0.89322430f, -0.89867447f,
+   -0.90398929f, -0.90916798f, -0.91420976f, -0.91911385f, -0.92387953f,
+   -0.92850608f, -0.93299280f, -0.93733901f, -0.94154407f, -0.94560733f,
+   -0.94952818f, -0.95330604f, -0.95694034f, -0.96043052f, -0.96377607f,
+   -0.96697647f, -0.97003125f, -0.97293995f, -0.97570213f, -0.97831737f,
+   -0.98078528f, -0.98310549f, -0.98527764f, -0.98730142f, -0.98917651f,
+   -0.99090264f, -0.99247953f, -0.99390697f, -0.99518473f, -0.99631261f,
+   -0.99729046f, -0.99811811f, -0.99879546f, -0.99932238f, -0.99969882f,
+   -0.99992470f, -1.00000000f, -0.99992470f, -0.99969882f, -0.99932238f,
+   -0.99879546f, -0.99811811f, -0.99729046f, -0.99631261f, -0.99518473f,
+   -0.99390697f, -0.99247953f, -0.99090264f, -0.98917651f, -0.98730142f,
+   -0.98527764f, -0.98310549f, -0.98078528f, -0.97831737f, -0.97570213f,
+   -0.97293995f, -0.97003125f, -0.96697647f, -0.96377607f, -0.96043052f,
+   -0.95694034f, -0.95330604f, -0.94952818f, -0.94560733f, -0.94154407f,
+   -0.93733901f, -0.93299280f, -0.92850608f, -0.92387953f, -0.91911385f,
+   -0.91420976f, -0.90916798f, -0.90398929f, -0.89867447f, -0.89322430f,
+   -0.88763962f, -0.88192126f, -0.87607009f, -0.87008699f, -0.86397286f,
+   -0.85772861f, -0.85135519f, -0.84485357f, -0.83822471f, -0.83146961f,
+   -0.82458930f, -0.81758481f, -0.81045720f, -0.80320753f, -0.79583690f,
+   -0.78834643f, -0.78073723f, -0.77301045f, -0.76516727f, -0.75720885f,
+   -0.74913639f, -0.74095113f, -0.73265427f, -0.72424708f, -0.71573083f,
+   -0.70710678f, -0.69837625f, -0.68954054f, -0.68060100f, -0.67155895f,
+   -0.66241578f, -0.65317284f, -0.64383154f, -0.63439328f, -0.62485949f,
+   -0.61523159f, -0.60551104f, -0.59569930f, -0.58579786f, -0.57580819f,
+   -0.56573181f, -0.55557023f, -0.54532499f, -0.53499762f, -0.52458968f,
+   -0.51410274f, -0.50353838f, -0.49289819f, -0.48218377f, -0.47139674f,
+   -0.46053871f, -0.44961133f, -0.43861624f, -0.42755509f, -0.41642956f,
+   -0.40524131f, -0.39399204f, -0.38268343f, -0.37131719f, -0.35989504f,
+   -0.34841868f, -0.33688985f, -0.32531029f, -0.31368174f, -0.30200595f,
+   -0.29028468f, -0.27851969f, -0.26671276f, -0.25486566f, -0.24298018f,
+   -0.23105811f, -0.21910124f, -0.20711138f, -0.19509032f, -0.18303989f,
+   -0.17096189f, -0.15885814f, -0.14673047f, -0.13458071f, -0.12241068f,
+   -0.11022221f, -0.09801714f, -0.08579731f, -0.07356456f, -0.06132074f,
+   -0.04906767f, -0.03680722f, -0.02454123f, -0.01227154f, -0.00000000f
+};
+#endif /* defined(ARM_ALL_FAST_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q31)
+/**
+  @par
+  Table values are in Q31 (1.31 fixed-point format) and generation is done in
+  three steps.  First, generate sin values in floating point:
+  <pre>
+  tableSize = 512;
+  for (n = 0; n < (tableSize + 1); n++)
+  {
+ 	sinTable[n] = sin(2*PI*n/tableSize);
+  } </pre>
+  where PI value is 3.14159265358979
+ @par
+  Second, convert floating-point to Q31 (Fixed point):
+ 	(sinTable[i] * pow(2, 31))
+ @par
+  Finally, round to the nearest integer value:
+  	sinTable[i] += (sinTable[i] > 0 ? 0.5 : -0.5);
+ */
+const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1] = {
+	0L, 26352928L, 52701887L, 79042909L, 105372028L, 131685278L, 157978697L,
+	184248325L, 210490206L, 236700388L, 262874923L, 289009871L, 315101295L,
+	341145265L, 367137861L, 393075166L, 418953276L, 444768294L, 470516330L,
+	496193509L, 521795963L, 547319836L, 572761285L, 598116479L, 623381598L,
+	648552838L, 673626408L, 698598533L, 723465451L, 748223418L, 772868706L,
+	797397602L, 821806413L, 846091463L, 870249095L, 894275671L, 918167572L,
+	941921200L, 965532978L, 988999351L, 1012316784L, 1035481766L, 1058490808L,
+	1081340445L, 1104027237L, 1126547765L, 1148898640L, 1171076495L, 1193077991L,
+	1214899813L, 1236538675L, 1257991320L, 1279254516L, 1300325060L, 1321199781L,
+	1341875533L, 1362349204L, 1382617710L, 1402678000L, 1422527051L, 1442161874L,
+	1461579514L, 1480777044L, 1499751576L, 1518500250L, 1537020244L, 1555308768L,
+	1573363068L, 1591180426L, 1608758157L, 1626093616L, 1643184191L, 1660027308L,
+	1676620432L, 1692961062L, 1709046739L, 1724875040L, 1740443581L, 1755750017L,
+	1770792044L, 1785567396L, 1800073849L, 1814309216L, 1828271356L, 1841958164L,
+	1855367581L, 1868497586L, 1881346202L, 1893911494L, 1906191570L, 1918184581L,
+	1929888720L, 1941302225L, 1952423377L, 1963250501L, 1973781967L, 1984016189L,
+	1993951625L, 2003586779L, 2012920201L, 2021950484L, 2030676269L, 2039096241L,
+	2047209133L, 2055013723L, 2062508835L, 2069693342L, 2076566160L, 2083126254L,
+	2089372638L, 2095304370L, 2100920556L, 2106220352L, 2111202959L, 2115867626L,
+	2120213651L, 2124240380L, 2127947206L, 2131333572L, 2134398966L, 2137142927L,
+	2139565043L, 2141664948L, 2143442326L, 2144896910L, 2146028480L, 2146836866L,
+	2147321946L, 2147483647L, 2147321946L, 2146836866L, 2146028480L, 2144896910L,
+	2143442326L, 2141664948L, 2139565043L, 2137142927L, 2134398966L, 2131333572L,
+	2127947206L, 2124240380L, 2120213651L, 2115867626L, 2111202959L, 2106220352L,
+	2100920556L, 2095304370L, 2089372638L, 2083126254L, 2076566160L, 2069693342L,
+	2062508835L, 2055013723L, 2047209133L, 2039096241L, 2030676269L, 2021950484L,
+	2012920201L, 2003586779L, 1993951625L, 1984016189L, 1973781967L, 1963250501L,
+	1952423377L, 1941302225L, 1929888720L, 1918184581L, 1906191570L, 1893911494L,
+	1881346202L, 1868497586L, 1855367581L, 1841958164L, 1828271356L, 1814309216L,
+	1800073849L, 1785567396L, 1770792044L, 1755750017L, 1740443581L, 1724875040L,
+	1709046739L, 1692961062L, 1676620432L, 1660027308L, 1643184191L, 1626093616L,
+	1608758157L, 1591180426L, 1573363068L, 1555308768L, 1537020244L, 1518500250L,
+	1499751576L, 1480777044L, 1461579514L, 1442161874L, 1422527051L, 1402678000L,
+	1382617710L, 1362349204L, 1341875533L, 1321199781L, 1300325060L, 1279254516L,
+	1257991320L, 1236538675L, 1214899813L, 1193077991L, 1171076495L, 1148898640L,
+	1126547765L, 1104027237L, 1081340445L, 1058490808L, 1035481766L, 1012316784L,
+	988999351L, 965532978L, 941921200L, 918167572L, 894275671L, 870249095L,
+	846091463L, 821806413L, 797397602L, 772868706L, 748223418L, 723465451L,
+	698598533L, 673626408L, 648552838L, 623381598L, 598116479L, 572761285L,
+	547319836L, 521795963L, 496193509L, 470516330L, 444768294L, 418953276L,
+	393075166L, 367137861L, 341145265L, 315101295L, 289009871L, 262874923L,
+	236700388L, 210490206L, 184248325L, 157978697L, 131685278L, 105372028L,
+	79042909L, 52701887L, 26352928L, 0L, -26352928L, -52701887L, -79042909L,
+	-105372028L, -131685278L, -157978697L, -184248325L, -210490206L, -236700388L,
+	-262874923L, -289009871L, -315101295L, -341145265L, -367137861L, -393075166L,
+	-418953276L, -444768294L, -470516330L, -496193509L, -521795963L, -547319836L,
+	-572761285L, -598116479L, -623381598L, -648552838L, -673626408L, -698598533L,
+	-723465451L, -748223418L, -772868706L, -797397602L, -821806413L, -846091463L,
+	-870249095L, -894275671L, -918167572L, -941921200L, -965532978L, -988999351L,
+	-1012316784L, -1035481766L, -1058490808L, -1081340445L, -1104027237L,
+	-1126547765L, -1148898640L, -1171076495L, -1193077991L, -1214899813L,
+	-1236538675L, -1257991320L, -1279254516L, -1300325060L, -1321199781L,
+	-1341875533L, -1362349204L, -1382617710L, -1402678000L, -1422527051L,
+	-1442161874L, -1461579514L, -1480777044L, -1499751576L, -1518500250L,
+	-1537020244L, -1555308768L, -1573363068L, -1591180426L, -1608758157L,
+	-1626093616L, -1643184191L, -1660027308L, -1676620432L, -1692961062L,
+	-1709046739L, -1724875040L, -1740443581L, -1755750017L, -1770792044L,
+	-1785567396L, -1800073849L, -1814309216L, -1828271356L, -1841958164L,
+	-1855367581L, -1868497586L, -1881346202L, -1893911494L, -1906191570L,
+	-1918184581L, -1929888720L, -1941302225L, -1952423377L, -1963250501L,
+	-1973781967L, -1984016189L, -1993951625L, -2003586779L, -2012920201L,
+	-2021950484L, -2030676269L, -2039096241L, -2047209133L, -2055013723L,
+	-2062508835L, -2069693342L, -2076566160L, -2083126254L, -2089372638L,
+	-2095304370L, -2100920556L, -2106220352L, -2111202959L, -2115867626L,
+	-2120213651L, -2124240380L, -2127947206L, -2131333572L, -2134398966L,
+	-2137142927L, -2139565043L, -2141664948L, -2143442326L, -2144896910L,
+	-2146028480L, -2146836866L, -2147321946L, (q31_t)0x80000000, -2147321946L,
+	-2146836866L, -2146028480L, -2144896910L, -2143442326L, -2141664948L,
+	-2139565043L, -2137142927L, -2134398966L, -2131333572L, -2127947206L,
+	-2124240380L, -2120213651L, -2115867626L, -2111202959L, -2106220352L,
+	-2100920556L, -2095304370L, -2089372638L, -2083126254L, -2076566160L,
+	-2069693342L, -2062508835L, -2055013723L, -2047209133L, -2039096241L,
+	-2030676269L, -2021950484L, -2012920201L, -2003586779L, -1993951625L,
+	-1984016189L, -1973781967L, -1963250501L, -1952423377L, -1941302225L,
+	-1929888720L, -1918184581L, -1906191570L, -1893911494L, -1881346202L,
+	-1868497586L, -1855367581L, -1841958164L, -1828271356L, -1814309216L,
+	-1800073849L, -1785567396L, -1770792044L, -1755750017L, -1740443581L,
+	-1724875040L, -1709046739L, -1692961062L, -1676620432L, -1660027308L,
+	-1643184191L, -1626093616L, -1608758157L, -1591180426L, -1573363068L,
+	-1555308768L, -1537020244L, -1518500250L, -1499751576L, -1480777044L,
+	-1461579514L, -1442161874L, -1422527051L, -1402678000L, -1382617710L,
+	-1362349204L, -1341875533L, -1321199781L, -1300325060L, -1279254516L,
+	-1257991320L, -1236538675L, -1214899813L, -1193077991L, -1171076495L,
+	-1148898640L, -1126547765L, -1104027237L, -1081340445L, -1058490808L,
+	-1035481766L, -1012316784L, -988999351L, -965532978L, -941921200L,
+	-918167572L, -894275671L, -870249095L, -846091463L, -821806413L, -797397602L,
+	-772868706L, -748223418L, -723465451L, -698598533L, -673626408L, -648552838L,
+	-623381598L, -598116479L, -572761285L, -547319836L, -521795963L, -496193509L,
+	-470516330L, -444768294L, -418953276L, -393075166L, -367137861L, -341145265L,
+	-315101295L, -289009871L, -262874923L, -236700388L, -210490206L, -184248325L,
+	-157978697L, -131685278L, -105372028L, -79042909L, -52701887L, -26352928L, 0
+};
+
+#endif /* defined(ARM_ALL_FAST_TABLES) */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FAST_TABLES) || defined(ARM_TABLE_SIN_Q15)
+/**
+  @par
+  Table values are in Q15 (1.15 fixed-point format) and generation is done in
+  three steps.  First,  generate sin values in floating point:
+  <pre>
+  tableSize = 512;
+  for (n = 0; n < (tableSize + 1); n++)
+  {
+ 	sinTable[n] = sin(2*PI*n/tableSize);
+  } </pre>
+  where PI value is  3.14159265358979
+ @par
+  Second, convert floating-point to Q15 (Fixed point):
+ 	(sinTable[i] * pow(2, 15))
+ @par
+  Finally, round to the nearest integer value:
+  	sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5);
+ */
+const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1] = {
+	0, 402, 804, 1206, 1608, 2009, 2411, 2811, 3212, 3612, 4011, 4410, 4808,
+	5205, 5602, 5998, 6393, 6787, 7180, 7571, 7962, 8351, 8740, 9127, 9512,
+	9896, 10279, 10660, 11039, 11417, 11793, 12167, 12540, 12910, 13279,
+	13646, 14010, 14373, 14733, 15091, 15447, 15800, 16151, 16500, 16846,
+	17190, 17531, 17869, 18205, 18538, 18868, 19195, 19520, 19841, 20160,
+	20475, 20788, 21097, 21403, 21706, 22006, 22302, 22595, 22884, 23170,
+	23453, 23732, 24008, 24279, 24548, 24812, 25073, 25330, 25583, 25833,
+	26078, 26320, 26557, 26791, 27020, 27246, 27467, 27684, 27897, 28106,
+	28311, 28511, 28707, 28899, 29086, 29269, 29448, 29622, 29792, 29957,
+	30118, 30274, 30425, 30572, 30715, 30853, 30986, 31114, 31238, 31357,
+	31471, 31581, 31686, 31786, 31881, 31972, 32058, 32138, 32214, 32286,
+	32352, 32413, 32470, 32522, 32568, 32610, 32647, 32679, 32706, 32729,
+	32746, 32758, 32766, 32767, 32766, 32758, 32746, 32729, 32706, 32679,
+	32647, 32610, 32568, 32522, 32470, 32413, 32352, 32286, 32214, 32138,
+	32058, 31972, 31881, 31786, 31686, 31581, 31471, 31357, 31238, 31114,
+	30986, 30853, 30715, 30572, 30425, 30274, 30118, 29957, 29792, 29622,
+	29448, 29269, 29086, 28899, 28707, 28511, 28311, 28106, 27897, 27684,
+	27467, 27246, 27020, 26791, 26557, 26320, 26078, 25833, 25583, 25330,
+	25073, 24812, 24548, 24279, 24008, 23732, 23453, 23170, 22884, 22595,
+	22302, 22006, 21706, 21403, 21097, 20788, 20475, 20160, 19841, 19520,
+	19195, 18868, 18538, 18205, 17869, 17531, 17190, 16846, 16500, 16151,
+	15800, 15447, 15091, 14733, 14373, 14010, 13646, 13279, 12910, 12540,
+	12167, 11793, 11417, 11039, 10660, 10279, 9896, 9512, 9127, 8740, 8351,
+	7962, 7571, 7180, 6787, 6393, 5998, 5602, 5205, 4808, 4410, 4011, 3612,
+	3212, 2811, 2411, 2009, 1608, 1206, 804, 402, 0, -402, -804, -1206,
+	-1608, -2009, -2411, -2811, -3212, -3612, -4011, -4410, -4808, -5205,
+	-5602, -5998, -6393, -6787, -7180, -7571, -7962, -8351, -8740, -9127,
+	-9512, -9896, -10279, -10660, -11039, -11417, -11793, -12167, -12540,
+	-12910, -13279, -13646, -14010, -14373, -14733, -15091, -15447, -15800,
+	-16151, -16500, -16846, -17190, -17531, -17869, -18205, -18538, -18868,
+	-19195, -19520, -19841, -20160, -20475, -20788, -21097, -21403, -21706,
+	-22006, -22302, -22595, -22884, -23170, -23453, -23732, -24008, -24279,
+	-24548, -24812, -25073, -25330, -25583, -25833, -26078, -26320, -26557,
+	-26791, -27020, -27246, -27467, -27684, -27897, -28106, -28311, -28511,
+	-28707, -28899, -29086, -29269, -29448, -29622, -29792, -29957, -30118,
+	-30274, -30425, -30572, -30715, -30853, -30986, -31114, -31238, -31357,
+	-31471, -31581, -31686, -31786, -31881, -31972, -32058, -32138, -32214,
+	-32286, -32352, -32413, -32470, -32522, -32568, -32610, -32647, -32679,
+	-32706, -32729, -32746, -32758, -32766, -32768, -32766, -32758, -32746,
+	-32729, -32706, -32679, -32647, -32610, -32568, -32522, -32470, -32413,
+	-32352, -32286, -32214, -32138, -32058, -31972, -31881, -31786, -31686,
+	-31581, -31471, -31357, -31238, -31114, -30986, -30853, -30715, -30572,
+	-30425, -30274, -30118, -29957, -29792, -29622, -29448, -29269, -29086,
+	-28899, -28707, -28511, -28311, -28106, -27897, -27684, -27467, -27246,
+	-27020, -26791, -26557, -26320, -26078, -25833, -25583, -25330, -25073,
+	-24812, -24548, -24279, -24008, -23732, -23453, -23170, -22884, -22595,
+	-22302, -22006, -21706, -21403, -21097, -20788, -20475, -20160, -19841,
+	-19520, -19195, -18868, -18538, -18205, -17869, -17531, -17190, -16846,
+	-16500, -16151, -15800, -15447, -15091, -14733, -14373, -14010, -13646,
+	-13279, -12910, -12540, -12167, -11793, -11417, -11039, -10660, -10279,
+	-9896, -9512, -9127, -8740, -8351, -7962, -7571, -7180, -6787, -6393,
+	-5998, -5602, -5205, -4808, -4410, -4011, -3612, -3212, -2811, -2411,
+	-2009, -1608, -1206, -804, -402, 0
+};
+#endif /* defined(ARM_ALL_FAST_TABLES) */
+
+#endif /* if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FAST_TABLES) */
diff --git a/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c b/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c
new file mode 100644
index 0000000..b70c0ae
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c
@@ -0,0 +1,486 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_const_structs.c
+ * Description:  Constant structs that are initialized for user convenience.
+ *               For example, some can be given as arguments to the arm_cfft_f32() or arm_rfft_f32() functions.
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_const_structs.h"
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_FFT_ALLOW_TABLES) 
+
+/* Floating-point structs */
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len16 = {
+  16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len32 = {
+  32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len64 = {
+  64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len128 = {
+  128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len256 = {
+  256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len512 = {
+  512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024 = {
+  1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 = {
+  2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096))
+const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 = {
+  4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE_4096_TABLE_LENGTH
+};
+#endif
+
+/* Fixed-point structs */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len16 = {
+  16, twiddleCoef_16_q31, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len32 = {
+  32, twiddleCoef_32_q31, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len64 = {
+  64, twiddleCoef_64_q31, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len128 = {
+  128, twiddleCoef_128_q31, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len256 = {
+  256, twiddleCoef_256_q31, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len512 = {
+  512, twiddleCoef_512_q31, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024 = {
+  1024, twiddleCoef_1024_q31, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048 = {
+  2048, twiddleCoef_2048_q31, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096 = {
+  4096, twiddleCoef_4096_q31, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len16 = {
+  16, twiddleCoef_16_q15, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len32 = {
+  32, twiddleCoef_32_q15, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len64 = {
+  64, twiddleCoef_64_q15, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len128 = {
+  128, twiddleCoef_128_q15, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len256 = {
+  256, twiddleCoef_256_q15, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len512 = {
+  512, twiddleCoef_512_q15, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024 = {
+  1024, twiddleCoef_1024_q15, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048 = {
+  2048, twiddleCoef_2048_q15, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096 = {
+  4096, twiddleCoef_4096_q15, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH
+};
+#endif
+
+/* Structure for real-value inputs */
+/* Floating-point structs */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len32 = {
+  { 16, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_16_TABLE_LENGTH },
+  32U,
+  (float32_t *)twiddleCoef_rfft_32
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len64 = {
+   { 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH },
+  64U,
+  (float32_t *)twiddleCoef_rfft_64
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len128 = {
+  { 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH },
+  128U,
+  (float32_t *)twiddleCoef_rfft_128
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len256 = {
+  { 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH },
+  256U,
+  (float32_t *)twiddleCoef_rfft_256
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len512 = {
+  { 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH },
+  512U,
+  (float32_t *)twiddleCoef_rfft_512
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len1024 = {
+  { 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH },
+  1024U,
+  (float32_t *)twiddleCoef_rfft_1024
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len2048 = {
+  { 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH },
+  2048U,
+  (float32_t *)twiddleCoef_rfft_2048
+};
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_4096) && defined(ARM_TABLE_BITREVIDX_FLT_4096) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096))
+const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len4096 = {
+  { 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH },
+  4096U,
+  (float32_t *)twiddleCoef_rfft_4096
+};
+#endif
+
+/* Fixed-point structs */
+/* q31_t */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len32 = {
+  32U,
+  0,
+  1,
+  256U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len16
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len64 = {
+  64U,
+  0,
+  1,
+  128U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len32
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len128 = {
+  128U,
+  0,
+  1,
+  64U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len64
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len256 = {
+  256U,
+  0,
+  1,
+  32U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len128
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len512 = {
+  512U,
+  0,
+  1,
+  16U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len256
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len1024 = {
+  1024U,
+  0,
+  1,
+  8U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len512
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len2048 = {
+  2048U,
+  0,
+  1,
+  4U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len1024
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len4096 = {
+  4096U,
+  0,
+  1,
+  2U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len2048
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q31) && defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+const arm_rfft_instance_q31 arm_rfft_sR_q31_len8192 = {
+  8192U,
+  0,
+  1,
+  1U,
+  (q31_t*)realCoefAQ31,
+  (q31_t*)realCoefBQ31,
+  &arm_cfft_sR_q31_len4096
+};
+#endif
+
+/* q15_t */
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len32 = {
+  32U,
+  0,
+  1,
+  256U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len16
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len64 = {
+  64U,
+  0,
+  1,
+  128U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len32
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len128 = {
+  128U,
+  0,
+  1,
+  64U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len64
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len256 = {
+  256U,
+  0,
+  1,
+  32U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len128
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len512 = {
+  512U,
+  0,
+  1,
+  16U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len256
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len1024 = {
+  1024U,
+  0,
+  1,
+  8U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len512
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len2048 = {
+  2048U,
+  0,
+  1,
+  4U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len1024
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len4096 = {
+  4096U,
+  0,
+  1,
+  2U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len2048
+};
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_REALCOEF_Q15) && defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+const arm_rfft_instance_q15 arm_rfft_sR_q15_len8192 = {
+  8192U,
+  0,
+  1,
+  1U,
+  (q15_t*)realCoefAQ15,
+  (q15_t*)realCoefBQ15,
+  &arm_cfft_sR_q15_len4096
+};
+#endif
+
+#endif
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt
new file mode 100644
index 0000000..34cdd8d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/CMakeLists.txt
@@ -0,0 +1,16 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPComplexMath)
+
+
+file(GLOB SRC "./*_*.c")
+
+add_library(CMSISDSPComplexMath STATIC ${SRC})
+
+configdsp(CMSISDSPComplexMath ..)
+
+### Includes
+target_include_directories(CMSISDSPComplexMath PUBLIC "${DSP}/../../Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c
new file mode 100644
index 0000000..2143739
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/ComplexMathFunctions.c
@@ -0,0 +1,46 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        CompexMathFunctions.c
+ * Description:  Combination of all comlex math function source files.
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_cmplx_conj_f32.c"
+#include "arm_cmplx_conj_q15.c"
+#include "arm_cmplx_conj_q31.c"
+#include "arm_cmplx_dot_prod_f32.c"
+#include "arm_cmplx_dot_prod_q15.c"
+#include "arm_cmplx_dot_prod_q31.c"
+#include "arm_cmplx_mag_f32.c"
+#include "arm_cmplx_mag_q15.c"
+#include "arm_cmplx_mag_q31.c"
+#include "arm_cmplx_mag_squared_f32.c"
+#include "arm_cmplx_mag_squared_q15.c"
+#include "arm_cmplx_mag_squared_q31.c"
+#include "arm_cmplx_mult_cmplx_f32.c"
+#include "arm_cmplx_mult_cmplx_q15.c"
+#include "arm_cmplx_mult_cmplx_q31.c"
+#include "arm_cmplx_mult_real_f32.c"
+#include "arm_cmplx_mult_real_q15.c"
+#include "arm_cmplx_mult_real_q31.c"
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c
new file mode 100644
index 0000000..ae20bbb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c
@@ -0,0 +1,161 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_conj_f32.c
+ * Description:  Floating-point complex conjugate
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @defgroup cmplx_conj Complex Conjugate
+
+  Conjugates the elements of a complex data vector.
+
+  The <code>pSrc</code> points to the source data and
+  <code>pDst</code> points to the destination data where the result should be written.
+  <code>numSamples</code> specifies the number of complex samples
+  and the data in each array is stored in an interleaved fashion
+  (real, imag, real, imag, ...).
+  Each array has a total of <code>2*numSamples</code> values.
+
+  The underlying algorithm is used:
+  <pre>
+  for (n = 0; n < numSamples; n++) {
+      pDst[(2*n)  ] =  pSrc[(2*n)  ];    // real part
+      pDst[(2*n)+1] = -pSrc[(2*n)+1];    // imag part
+  }
+  </pre>
+
+  There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup cmplx_conj
+  @{
+ */
+
+/**
+  @brief         Floating-point complex conjugate.
+  @param[in]     pSrc        points to the input vector
+  @param[out]    pDst        points to the output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+ */
+
+
+void arm_cmplx_conj_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined(ARM_MATH_NEON)
+   float32x4_t zero;
+   float32x4x2_t vec;
+
+   zero = vdupq_n_f32(0.0);
+
+   /* Compute 4 outputs at a time */
+   blkCnt = numSamples >> 2U;
+
+   while (blkCnt > 0U)
+   {
+     /* C[0]+jC[1] = A[0]+(-1)*jA[1] */
+     /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+     vec = vld2q_f32(pSrc);
+     vec.val[1] = vsubq_f32(zero,vec.val[1]);
+     vst2q_f32(pDst,vec);
+
+     /* Increment pointers */
+     pSrc += 8;
+     pDst += 8;
+        
+     /* Decrement the loop counter */
+     blkCnt--;
+   }
+
+   /* Tail */
+   blkCnt = numSamples & 0x3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+    /* Calculate Complex Conjugate and store result in destination buffer. */
+    *pDst++ =  *pSrc++;
+    *pDst++ = -*pSrc++;
+
+    *pDst++ =  *pSrc++;
+    *pDst++ = -*pSrc++;
+
+    *pDst++ =  *pSrc++;
+    *pDst++ = -*pSrc++;
+
+    *pDst++ =  *pSrc++;
+    *pDst++ = -*pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined (ARM_MATH_NEON) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+    /* Calculate Complex Conjugate and store result in destination buffer. */
+    *pDst++ =  *pSrc++;
+    *pDst++ = -*pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of cmplx_conj group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
new file mode 100644
index 0000000..d7fdc28
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
@@ -0,0 +1,157 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_conj_q15.c
+ * Description:  Q15 complex conjugate
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @addtogroup cmplx_conj
+  @{
+ */
+
+/**
+  @brief         Q15 complex conjugate.
+  @param[in]     pSrc        points to the input vector
+  @param[out]    pDst        points to the output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   The Q15 value -1 (0x8000) is saturated to the maximum allowable positive value 0x7FFF.
+ */
+
+void arm_cmplx_conj_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t in1;                                     /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+        q31_t in2, in3, in4;                           /* Temporary input variables */
+#endif
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+    /* Calculate Complex Conjugate and store result in destination buffer. */
+
+    #if defined (ARM_MATH_DSP)
+    in1 = read_q15x2_ia ((q15_t **) &pSrc);
+    in2 = read_q15x2_ia ((q15_t **) &pSrc);
+    in3 = read_q15x2_ia ((q15_t **) &pSrc);
+    in4 = read_q15x2_ia ((q15_t **) &pSrc);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    in1 = __QASX(0, in1);
+    in2 = __QASX(0, in2);
+    in3 = __QASX(0, in3);
+    in4 = __QASX(0, in4);
+#else
+    in1 = __QSAX(0, in1);
+    in2 = __QSAX(0, in2);
+    in3 = __QSAX(0, in3);
+    in4 = __QSAX(0, in4);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    in1 = ((uint32_t) in1 >> 16) | ((uint32_t) in1 << 16);
+    in2 = ((uint32_t) in2 >> 16) | ((uint32_t) in2 << 16);
+    in3 = ((uint32_t) in3 >> 16) | ((uint32_t) in3 << 16);
+    in4 = ((uint32_t) in4 >> 16) | ((uint32_t) in4 << 16);
+
+    write_q15x2_ia (&pDst, in1);
+    write_q15x2_ia (&pDst, in2);
+    write_q15x2_ia (&pDst, in3);
+    write_q15x2_ia (&pDst, in4);
+#else
+    *pDst++ =  *pSrc++;
+    in1 = *pSrc++;
+    *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+    *pDst++ =  *pSrc++;
+    in1 = *pSrc++;
+    *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+    *pDst++ =  *pSrc++;
+    in1 = *pSrc++;
+    *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+    *pDst++ =  *pSrc++;
+    in1 = *pSrc++;
+    *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+    /* Calculate Complex Conjugate and store result in destination buffer. */
+    *pDst++ =  *pSrc++;
+    in1 = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __SSAT(-in1, 16);
+#else
+    *pDst++ = (in1 == (q15_t) 0x8000) ? (q15_t) 0x7fff : -in1;
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of cmplx_conj group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
new file mode 100644
index 0000000..c3cbdbf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
@@ -0,0 +1,137 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_conj_q31.c
+ * Description:  Q31 complex conjugate
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @addtogroup cmplx_conj
+  @{
+ */
+
+/**
+  @brief         Q31 complex conjugate.
+  @param[in]     pSrc        points to the input vector
+  @param[out]    pDst        points to the output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   The Q31 value -1 (0x80000000) is saturated to the maximum allowable positive value 0x7FFFFFFF.
+ */
+
+void arm_cmplx_conj_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t in;                                      /* Temporary input variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+    /* Calculate Complex Conjugate and store result in destination buffer. */
+    *pDst++ =  *pSrc++;
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QSUB(0, in);
+#else
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+    *pDst++ =  *pSrc++;
+    in =  *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QSUB(0, in);
+#else
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+    *pDst++ =  *pSrc++;
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QSUB(0, in);
+#else
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+    *pDst++ =  *pSrc++;
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QSUB(0, in);
+#else
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] + jC[1] = A[0]+ j(-1)A[1] */
+
+    /* Calculate Complex Conjugate and store result in destination buffer. */
+    *pDst++ =  *pSrc++;
+    in = *pSrc++;
+#if defined (ARM_MATH_DSP)
+    *pDst++ = __QSUB(0, in);
+#else
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of cmplx_conj group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
new file mode 100644
index 0000000..167b865
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
@@ -0,0 +1,233 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_dot_prod_f32.c
+ * Description:  Floating-point complex dot product
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @defgroup cmplx_dot_prod Complex Dot Product
+
+  Computes the dot product of two complex vectors.
+  The vectors are multiplied element-by-element and then summed.
+
+  The <code>pSrcA</code> points to the first complex input vector and
+  <code>pSrcB</code> points to the second complex input vector.
+  <code>numSamples</code> specifies the number of complex samples
+  and the data in each array is stored in an interleaved fashion
+  (real, imag, real, imag, ...).
+  Each array has a total of <code>2*numSamples</code> values.
+
+  The underlying algorithm is used:
+
+  <pre>
+  realResult = 0;
+  imagResult = 0;
+  for (n = 0; n < numSamples; n++) {
+      realResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+      imagResult += pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+  }
+  </pre>
+
+  There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup cmplx_dot_prod
+  @{
+ */
+
+/**
+  @brief         Floating-point complex dot product.
+  @param[in]     pSrcA       points to the first input vector
+  @param[in]     pSrcB       points to the second input vector
+  @param[in]     numSamples  number of samples in each vector
+  @param[out]    realResult  real part of the result returned here
+  @param[out]    imagResult  imaginary part of the result returned here
+  @return        none
+ */
+
+void arm_cmplx_dot_prod_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        uint32_t numSamples,
+        float32_t * realResult,
+        float32_t * imagResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        float32_t real_sum = 0.0f, imag_sum = 0.0f;    /* Temporary result variables */
+        float32_t a0,b0,c0,d0;
+
+#if defined(ARM_MATH_NEON)
+    float32x4x2_t vec1,vec2,vec3,vec4;
+    float32x4_t accR,accI;
+    float32x2_t accum = vdup_n_f32(0);
+
+    accR = vdupq_n_f32(0.0);
+    accI = vdupq_n_f32(0.0);
+
+    /* Loop unrolling: Compute 8 outputs at a time */
+    blkCnt = numSamples >> 3U;
+
+    while (blkCnt > 0U)
+    {
+	/* C = (A[0]+jA[1])*(B[0]+jB[1]) + ...  */
+        /* Calculate dot product and then store the result in a temporary buffer. */
+
+	vec1 = vld2q_f32(pSrcA);
+        vec2 = vld2q_f32(pSrcB);
+
+	/* Increment pointers */
+        pSrcA += 8;
+        pSrcB += 8;
+
+	/* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+        accR = vmlaq_f32(accR,vec1.val[0],vec2.val[0]);
+        accR = vmlsq_f32(accR,vec1.val[1],vec2.val[1]);
+
+	/* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+        accI = vmlaq_f32(accI,vec1.val[1],vec2.val[0]);
+        accI = vmlaq_f32(accI,vec1.val[0],vec2.val[1]);
+
+        vec3 = vld2q_f32(pSrcA);
+        vec4 = vld2q_f32(pSrcB);
+	
+	/* Increment pointers */
+        pSrcA += 8;
+        pSrcB += 8;
+
+	/* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+        accR = vmlaq_f32(accR,vec3.val[0],vec4.val[0]);
+        accR = vmlsq_f32(accR,vec3.val[1],vec4.val[1]);
+
+	/* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+        accI = vmlaq_f32(accI,vec3.val[1],vec4.val[0]);
+        accI = vmlaq_f32(accI,vec3.val[0],vec4.val[1]);
+
+        /* Decrement the loop counter */
+        blkCnt--;
+    }
+
+    accum = vpadd_f32(vget_low_f32(accR), vget_high_f32(accR));
+    real_sum += accum[0] + accum[1];
+
+    accum = vpadd_f32(vget_low_f32(accI), vget_high_f32(accI));
+    imag_sum += accum[0] + accum[1];
+
+    /* Tail */
+    blkCnt = numSamples & 0x7;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += a0 * c0;
+    imag_sum += a0 * d0;
+    real_sum -= b0 * d0;
+    imag_sum += b0 * c0;
+
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += a0 * c0;
+    imag_sum += a0 * d0;
+    real_sum -= b0 * d0;
+    imag_sum += b0 * c0;
+
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += a0 * c0;
+    imag_sum += a0 * d0;
+    real_sum -= b0 * d0;
+    imag_sum += b0 * c0;
+
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += a0 * c0;
+    imag_sum += a0 * d0;
+    real_sum -= b0 * d0;
+    imag_sum += b0 * c0;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+  while (blkCnt > 0U)
+  {
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += a0 * c0;
+    imag_sum += a0 * d0;
+    real_sum -= b0 * d0;
+    imag_sum += b0 * c0;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store real and imaginary result in destination buffer. */
+  *realResult = real_sum;
+  *imagResult = imag_sum;
+}
+
+/**
+  @} end of cmplx_dot_prod group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
new file mode 100644
index 0000000..5947958
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
@@ -0,0 +1,154 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_dot_prod_q15.c
+ * Description:  Processing function for the Q15 Complex Dot product
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @addtogroup cmplx_dot_prod
+  @{
+ */
+
+/**
+  @brief         Q15 complex dot product.
+  @param[in]     pSrcA       points to the first input vector
+  @param[in]     pSrcB       points to the second input vector
+  @param[in]     numSamples  number of samples in each vector
+  @param[out]    realResult  real part of the result returned here
+  @param[out]    imagResult  imaginary part of the result returned her
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result.
+                   These are accumulated in a 64-bit accumulator with 34.30 precision.
+                   As a final step, the accumulators are converted to 8.24 format.
+                   The return results <code>realResult</code> and <code>imagResult</code> are in 8.24 format.
+ */
+
+void arm_cmplx_dot_prod_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        uint32_t numSamples,
+        q31_t * realResult,
+        q31_t * imagResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q63_t real_sum = 0, imag_sum = 0;              /* Temporary result variables */
+        q15_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += (q31_t)a0 * c0;
+    imag_sum += (q31_t)a0 * d0;
+    real_sum -= (q31_t)b0 * d0;
+    imag_sum += (q31_t)b0 * c0;
+
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += (q31_t)a0 * c0;
+    imag_sum += (q31_t)a0 * d0;
+    real_sum -= (q31_t)b0 * d0;
+    imag_sum += (q31_t)b0 * c0;
+
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += (q31_t)a0 * c0;
+    imag_sum += (q31_t)a0 * d0;
+    real_sum -= (q31_t)b0 * d0;
+    imag_sum += (q31_t)b0 * c0;
+
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += (q31_t)a0 * c0;
+    imag_sum += (q31_t)a0 * d0;
+    real_sum -= (q31_t)b0 * d0;
+    imag_sum += (q31_t)b0 * c0;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += (q31_t)a0 * c0;
+    imag_sum += (q31_t)a0 * d0;
+    real_sum -= (q31_t)b0 * d0;
+    imag_sum += (q31_t)b0 * c0;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store real and imaginary result in 8.24 format  */
+  /* Convert real data in 34.30 to 8.24 by 6 right shifts */
+  *realResult = (q31_t) (real_sum >> 6);
+  /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */
+  *imagResult = (q31_t) (imag_sum >> 6);
+}
+
+/**
+  @} end of cmplx_dot_prod group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
new file mode 100644
index 0000000..9f82e8e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
@@ -0,0 +1,153 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_dot_prod_q31.c
+ * Description:  Q31 complex dot product
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @addtogroup cmplx_dot_prod
+  @{
+ */
+
+/**
+  @brief         Q31 complex dot product.
+  @param[in]     pSrcA       points to the first input vector
+  @param[in]     pSrcB       points to the second input vector
+  @param[in]     numSamples  number of samples in each vector
+  @param[out]    realResult  real part of the result returned here
+  @param[out]    imagResult  imaginary part of the result returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format.
+                   The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits.
+                   Additions are nonsaturating and no overflow will occur as long as <code>numSamples</code> is less than 32768.
+                   The return results <code>realResult</code> and <code>imagResult</code> are in 16.48 format.
+                   Input down scaling is not required.
+ */
+
+void arm_cmplx_dot_prod_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        uint32_t numSamples,
+        q63_t * realResult,
+        q63_t * imagResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q63_t real_sum = 0, imag_sum = 0;              /* Temporary result variables */
+        q31_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += ((q63_t)a0 * c0) >> 14;
+    imag_sum += ((q63_t)a0 * d0) >> 14;
+    real_sum -= ((q63_t)b0 * d0) >> 14;
+    imag_sum += ((q63_t)b0 * c0) >> 14;
+
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += ((q63_t)a0 * c0) >> 14;
+    imag_sum += ((q63_t)a0 * d0) >> 14;
+    real_sum -= ((q63_t)b0 * d0) >> 14;
+    imag_sum += ((q63_t)b0 * c0) >> 14;
+
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += ((q63_t)a0 * c0) >> 14;
+    imag_sum += ((q63_t)a0 * d0) >> 14;
+    real_sum -= ((q63_t)b0 * d0) >> 14;
+    imag_sum += ((q63_t)b0 * c0) >> 14;
+
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += ((q63_t)a0 * c0) >> 14;
+    imag_sum += ((q63_t)a0 * d0) >> 14;
+    real_sum -= ((q63_t)b0 * d0) >> 14;
+    imag_sum += ((q63_t)b0 * c0) >> 14;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    a0 = *pSrcA++;
+    b0 = *pSrcA++;
+    c0 = *pSrcB++;
+    d0 = *pSrcB++;
+
+    real_sum += ((q63_t)a0 * c0) >> 14;
+    imag_sum += ((q63_t)a0 * d0) >> 14;
+    real_sum -= ((q63_t)b0 * d0) >> 14;
+    imag_sum += ((q63_t)b0 * c0) >> 14;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store real and imaginary result in 16.48 format  */
+  *realResult = real_sum;
+  *imagResult = imag_sum;
+}
+
+/**
+  @} end of cmplx_dot_prod group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
new file mode 100644
index 0000000..128ecb9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
@@ -0,0 +1,188 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mag_f32.c
+ * Description:  Floating-point complex magnitude
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @defgroup cmplx_mag Complex Magnitude
+
+  Computes the magnitude of the elements of a complex data vector.
+
+  The <code>pSrc</code> points to the source data and
+  <code>pDst</code> points to the where the result should be written.
+  <code>numSamples</code> specifies the number of complex samples
+  in the input array and the data is stored in an interleaved fashion
+  (real, imag, real, imag, ...).
+  The input array has a total of <code>2*numSamples</code> values;
+  the output array has a total of <code>numSamples</code> values.
+
+  The underlying algorithm is used:
+
+  <pre>
+  for (n = 0; n < numSamples; n++) {
+      pDst[n] = sqrt(pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2);
+  }
+  </pre>
+
+  There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup cmplx_mag
+  @{
+ */
+
+/**
+  @brief         Floating-point complex magnitude.
+  @param[in]     pSrc        points to input vector
+  @param[out]    pDst        points to output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+ */
+
+void arm_cmplx_mag_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t numSamples)
+{
+  uint32_t blkCnt;                               /* loop counter */
+  float32_t real, imag;                      /* Temporary variables to hold input values */
+
+#if defined(ARM_MATH_NEON)
+
+  float32x4x2_t vecA;
+  float32x4_t vRealA;
+  float32x4_t vImagA;
+  float32x4_t vMagSqA;
+
+  float32x4x2_t vecB;
+  float32x4_t vRealB;
+  float32x4_t vImagB;
+  float32x4_t vMagSqB;
+
+  /* Loop unrolling: Compute 8 outputs at a time */
+  blkCnt = numSamples >> 3;
+
+  while (blkCnt > 0U)
+  {
+    /* out = sqrt((real * real) + (imag * imag)) */
+
+    vecA = vld2q_f32(pSrc);
+    pSrc += 8;
+
+    vecB = vld2q_f32(pSrc);
+    pSrc += 8;
+
+    vRealA = vmulq_f32(vecA.val[0], vecA.val[0]);
+    vImagA = vmulq_f32(vecA.val[1], vecA.val[1]);
+    vMagSqA = vaddq_f32(vRealA, vImagA);
+
+    vRealB = vmulq_f32(vecB.val[0], vecB.val[0]);
+    vImagB = vmulq_f32(vecB.val[1], vecB.val[1]);
+    vMagSqB = vaddq_f32(vRealB, vImagB);
+
+    /* Store the result in the destination buffer. */
+    vst1q_f32(pDst, __arm_vec_sqrt_f32_neon(vMagSqA));
+    pDst += 4;
+
+    vst1q_f32(pDst, __arm_vec_sqrt_f32_neon(vMagSqB));
+    pDst += 4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  blkCnt = numSamples & 7;
+
+#else
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+    real = *pSrc++;
+    imag = *pSrc++;
+
+    /* store result in destination buffer. */
+    arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+    real = *pSrc++;
+    imag = *pSrc++;
+
+    /* store result in destination buffer. */
+    arm_sqrt_f32((real * real) + (imag * imag), pDst++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of cmplx_mag group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
new file mode 100644
index 0000000..a5b45b5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
@@ -0,0 +1,162 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mag_q15.c
+ * Description:  Q15 complex magnitude
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @addtogroup cmplx_mag
+  @{
+ */
+
+/**
+  @brief         Q15 complex magnitude.
+  @param[in]     pSrc        points to input vector
+  @param[out]    pDst        points to output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.
+ */
+
+void arm_cmplx_mag_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_DSP)
+        q31_t in;
+        q31_t acc0;                                    /* Accumulators */
+#else
+       q15_t real, imag;                              /* Temporary input variables */
+       q31_t acc0, acc1;                              /* Accumulators */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+    in = read_q15x2_ia ((q15_t **) &pSrc);
+    acc0 = __SMUAD(in, in);
+    /* store result in 2.14 format in destination buffer. */
+    arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+    in = read_q15x2_ia ((q15_t **) &pSrc);
+    acc0 = __SMUAD(in, in);
+    arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+    in = read_q15x2_ia ((q15_t **) &pSrc);
+    acc0 = __SMUAD(in, in);
+    arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+    in = read_q15x2_ia ((q15_t **) &pSrc);
+    acc0 = __SMUAD(in, in);
+    arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+#else
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = ((q31_t) real * real);
+    acc1 = ((q31_t) imag * imag);
+
+    /* store result in 2.14 format in destination buffer. */
+    arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = ((q31_t) real * real);
+    acc1 = ((q31_t) imag * imag);
+    arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = ((q31_t) real * real);
+    acc1 = ((q31_t) imag * imag);
+    arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = ((q31_t) real * real);
+    acc1 = ((q31_t) imag * imag);
+    arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+    in = read_q15x2_ia ((q15_t **) &pSrc);
+    acc0 = __SMUAD(in, in);
+
+    /* store result in 2.14 format in destination buffer. */
+    arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+#else
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = ((q31_t) real * real);
+    acc1 = ((q31_t) imag * imag);
+
+    /* store result in 2.14 format in destination buffer. */
+    arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of cmplx_mag group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
new file mode 100644
index 0000000..fe26d5b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
@@ -0,0 +1,130 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mag_q31.c
+ * Description:  Q31 complex magnitude
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @addtogroup cmplx_mag
+  @{
+ */
+
+/**
+  @brief         Q31 complex magnitude.
+  @param[in]     pSrc        points to input vector
+  @param[out]    pDst        points to output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format.
+                   Input down scaling is not required.
+ */
+
+void arm_cmplx_mag_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t real, imag;                              /* Temporary input variables */
+        q31_t acc0, acc1;                              /* Accumulators */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+    /* store result in 2.30 format in destination buffer. */
+    arm_sqrt_q31(acc0 + acc1, pDst++);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    arm_sqrt_q31(acc0 + acc1, pDst++);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    arm_sqrt_q31(acc0 + acc1, pDst++);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    arm_sqrt_q31(acc0 + acc1, pDst++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+    /* store result in 2.30 format in destination buffer. */
+    arm_sqrt_q31(acc0 + acc1, pDst++);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of cmplx_mag group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
new file mode 100644
index 0000000..8092df9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
@@ -0,0 +1,184 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mag_squared_f32.c
+ * Description:  Floating-point complex magnitude squared
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @defgroup cmplx_mag_squared Complex Magnitude Squared
+
+  Computes the magnitude squared of the elements of a complex data vector.
+
+  The <code>pSrc</code> points to the source data and
+  <code>pDst</code> points to the where the result should be written.
+  <code>numSamples</code> specifies the number of complex samples
+  in the input array and the data is stored in an interleaved fashion
+  (real, imag, real, imag, ...).
+  The input array has a total of <code>2*numSamples</code> values;
+  the output array has a total of <code>numSamples</code> values.
+
+  The underlying algorithm is used:
+
+  <pre>
+  for (n = 0; n < numSamples; n++) {
+      pDst[n] = pSrc[(2*n)+0]^2 + pSrc[(2*n)+1]^2;
+  }
+  </pre>
+
+  There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup cmplx_mag_squared
+  @{
+ */
+
+/**
+  @brief         Floating-point complex magnitude squared.
+  @param[in]     pSrc        points to input vector
+  @param[out]    pDst        points to output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+ */
+
+void arm_cmplx_mag_squared_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        float32_t real, imag;                          /* Temporary input variables */
+
+#if defined(ARM_MATH_NEON)
+  float32x4x2_t vecA;
+  float32x4_t vRealA;
+  float32x4_t vImagA;
+  float32x4_t vMagSqA;
+
+  float32x4x2_t vecB;
+  float32x4_t vRealB;
+  float32x4_t vImagB;
+  float32x4_t vMagSqB;
+
+  /* Loop unrolling: Compute 8 outputs at a time */
+  blkCnt = numSamples >> 3;
+
+  while (blkCnt > 0U)
+  {
+    /* out = sqrt((real * real) + (imag * imag)) */
+
+    vecA = vld2q_f32(pSrc);
+    pSrc += 8;
+
+    vRealA = vmulq_f32(vecA.val[0], vecA.val[0]);
+    vImagA = vmulq_f32(vecA.val[1], vecA.val[1]);
+    vMagSqA = vaddq_f32(vRealA, vImagA);
+
+    vecB = vld2q_f32(pSrc);
+    pSrc += 8;
+
+    vRealB = vmulq_f32(vecB.val[0], vecB.val[0]);
+    vImagB = vmulq_f32(vecB.val[1], vecB.val[1]);
+    vMagSqB = vaddq_f32(vRealB, vImagB);
+
+    /* Store the result in the destination buffer. */
+    vst1q_f32(pDst, vMagSqA);
+    pDst += 4;
+
+    vst1q_f32(pDst, vMagSqB);
+    pDst += 4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  blkCnt = numSamples & 7;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    *pDst++ = (real * real) + (imag * imag);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    *pDst++ = (real * real) + (imag * imag);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    *pDst++ = (real * real) + (imag * imag);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    *pDst++ = (real * real) + (imag * imag);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+    real = *pSrc++;
+    imag = *pSrc++;
+
+    /* store result in destination buffer. */
+    *pDst++ = (real * real) + (imag * imag);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of cmplx_mag_squared group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
new file mode 100644
index 0000000..908f3bc
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
@@ -0,0 +1,161 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mag_squared_q15.c
+ * Description:  Q15 complex magnitude squared
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @addtogroup cmplx_mag_squared
+  @{
+ */
+
+/**
+  @brief         Q15 complex magnitude squared.
+  @param[in]     pSrc        points to input vector
+  @param[out]    pDst        points to output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
+ */
+
+void arm_cmplx_mag_squared_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_DSP)
+        q31_t in;
+        q31_t acc0;                                    /* Accumulators */
+#else
+        q15_t real, imag;                              /* Temporary input variables */
+        q31_t acc0, acc1;                              /* Accumulators */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+    in = read_q15x2_ia ((q15_t **) &pSrc);
+    acc0 = __SMUAD(in, in);
+    /* store result in 3.13 format in destination buffer. */
+    *pDst++ = (q15_t) (acc0 >> 17);
+
+    in = read_q15x2_ia ((q15_t **) &pSrc);
+    acc0 = __SMUAD(in, in);
+    *pDst++ = (q15_t) (acc0 >> 17);
+
+    in = read_q15x2_ia ((q15_t **) &pSrc);
+    acc0 = __SMUAD(in, in);
+    *pDst++ = (q15_t) (acc0 >> 17);
+
+    in = read_q15x2_ia ((q15_t **) &pSrc);
+    acc0 = __SMUAD(in, in);
+    *pDst++ = (q15_t) (acc0 >> 17);
+#else
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = ((q31_t) real * real);
+    acc1 = ((q31_t) imag * imag);
+    /* store result in 3.13 format in destination buffer. */
+    *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = ((q31_t) real * real);
+    acc1 = ((q31_t) imag * imag);
+    *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = ((q31_t) real * real);
+    acc1 = ((q31_t) imag * imag);
+    *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = ((q31_t) real * real);
+    acc1 = ((q31_t) imag * imag);
+    *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+#if defined (ARM_MATH_DSP)
+    in = read_q15x2_ia ((q15_t **) &pSrc);
+    acc0 = __SMUAD(in, in);
+
+    /* store result in 3.13 format in destination buffer. */
+    *pDst++ = (q15_t) (acc0 >> 17);
+#else
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = ((q31_t) real * real);
+    acc1 = ((q31_t) imag * imag);
+
+    /* store result in 3.13 format in destination buffer. */
+    *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of cmplx_mag_squared group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
new file mode 100644
index 0000000..f16ff7a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
@@ -0,0 +1,129 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mag_squared_q31.c
+ * Description:  Q31 complex magnitude squared
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @addtogroup cmplx_mag_squared
+  @{
+ */
+
+/**
+  @brief         Q31 complex magnitude squared.
+  @param[in]     pSrc        points to input vector
+  @param[out]    pDst        points to output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+                   Input down scaling is not required.
+ */
+
+void arm_cmplx_mag_squared_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t real, imag;                              /* Temporary input variables */
+        q31_t acc0, acc1;                              /* Accumulators */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    *pDst++ = acc0 + acc1;
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    *pDst++ = acc0 + acc1;
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    *pDst++ = acc0 + acc1;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+
+    /* store result in 3.29 format in destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of cmplx_mag_squared group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
new file mode 100644
index 0000000..ee75882
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
@@ -0,0 +1,194 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mult_cmplx_f32.c
+ * Description:  Floating-point complex-by-complex multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication
+
+  Multiplies a complex vector by another complex vector and generates a complex result.
+  The data in the complex arrays is stored in an interleaved fashion
+  (real, imag, real, imag, ...).
+  The parameter <code>numSamples</code> represents the number of complex
+  samples processed.  The complex arrays have a total of <code>2*numSamples</code>
+  real values.
+
+  The underlying algorithm is used:
+
+  <pre>
+  for (n = 0; n < numSamples; n++) {
+      pDst[(2*n)+0] = pSrcA[(2*n)+0] * pSrcB[(2*n)+0] - pSrcA[(2*n)+1] * pSrcB[(2*n)+1];
+      pDst[(2*n)+1] = pSrcA[(2*n)+0] * pSrcB[(2*n)+1] + pSrcA[(2*n)+1] * pSrcB[(2*n)+0];
+  }
+  </pre>
+
+  There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup CmplxByCmplxMult
+  @{
+ */
+
+/**
+  @brief         Floating-point complex-by-complex multiplication.
+  @param[in]     pSrcA       points to first input vector
+  @param[in]     pSrcB       points to second input vector
+  @param[out]    pDst        points to output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+ */
+
+void arm_cmplx_mult_cmplx_f32(
+  const float32_t * pSrcA,
+  const float32_t * pSrcB,
+        float32_t * pDst,
+        uint32_t numSamples)
+{
+    uint32_t blkCnt;                               /* Loop counter */
+    float32_t a, b, c, d;  /* Temporary variables to store real and imaginary values */
+
+#if defined(ARM_MATH_NEON)
+    float32x4x2_t va, vb;
+    float32x4_t real, imag;
+    float32x4x2_t outCplx;
+
+    /* Compute 4 outputs at a time */
+    blkCnt = numSamples >> 2U;
+
+    while (blkCnt > 0U)
+    {
+        va = vld2q_f32(pSrcA);  // load & separate real/imag pSrcA (de-interleave 2)
+        vb = vld2q_f32(pSrcB);  // load & separate real/imag pSrcB
+
+	/* Increment pointers */
+        pSrcA += 8;
+        pSrcB += 8;
+	
+	/* Re{C} = Re{A}*Re{B} - Im{A}*Im{B} */
+        outCplx.val[0] = vmulq_f32(va.val[0], vb.val[0]);
+        outCplx.val[0] = vmlsq_f32(outCplx.val[0], va.val[1], vb.val[1]);
+
+	/* Im{C} = Re{A}*Im{B} + Im{A}*Re{B} */
+        outCplx.val[1] = vmulq_f32(va.val[0], vb.val[1]);
+        outCplx.val[1] = vmlaq_f32(outCplx.val[1], va.val[1], vb.val[0]);
+
+        vst2q_f32(pDst, outCplx);
+
+	/* Increment pointer */
+        pDst += 8;
+
+	/* Decrement the loop counter */
+        blkCnt--;
+    }
+
+    /* Tail */
+    blkCnt = numSamples & 3;
+
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i    ] = A[2 * i] * B[2 * i    ] - A[2 * i + 1] * B[2 * i + 1]. */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i    ]. */
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+    /* store result in destination buffer. */
+    *pDst++ = (a * c) - (b * d);
+    *pDst++ = (a * d) + (b * c);
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+    *pDst++ = (a * c) - (b * d);
+    *pDst++ = (a * d) + (b * c);
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+    *pDst++ = (a * c) - (b * d);
+    *pDst++ = (a * d) + (b * c);
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+    *pDst++ = (a * c) - (b * d);
+    *pDst++ = (a * d) + (b * c);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i    ] = A[2 * i] * B[2 * i    ] - A[2 * i + 1] * B[2 * i + 1]. */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i    ]. */
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store result in destination buffer. */
+    *pDst++ = (a * c) - (b * d);
+    *pDst++ = (a * d) + (b * c);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of CmplxByCmplxMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
new file mode 100644
index 0000000..e490822
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
@@ -0,0 +1,136 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mult_cmplx_q15.c
+ * Description:  Q15 complex-by-complex multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @addtogroup CmplxByCmplxMult
+  @{
+ */
+
+/**
+  @brief         Q15 complex-by-complex multiplication.
+  @param[in]     pSrcA       points to first input vector
+  @param[in]     pSrcB       points to second input vector
+  @param[out]    pDst        points to output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
+ */
+
+void arm_cmplx_mult_cmplx_q15(
+  const q15_t * pSrcA,
+  const q15_t * pSrcB,
+        q15_t * pDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q15_t a, b, c, d;                              /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i    ] = A[2 * i] * B[2 * i    ] - A[2 * i + 1] * B[2 * i + 1]. */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i    ]. */
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+    /* store result in 3.13 format in destination buffer. */
+    *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+    *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+    *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+    *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+    *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+    *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+    *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+    *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i    ] = A[2 * i] * B[2 * i    ] - A[2 * i + 1] * B[2 * i + 1]. */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i    ]. */
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store result in 3.13 format in destination buffer. */
+    *pDst++ = (q15_t) ( (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17) );
+    *pDst++ = (q15_t) ( (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17) );
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of CmplxByCmplxMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
new file mode 100644
index 0000000..88fd870
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
@@ -0,0 +1,137 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mult_cmplx_q31.c
+ * Description:  Q31 complex-by-complex multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @addtogroup CmplxByCmplxMult
+  @{
+ */
+
+/**
+  @brief         Q31 complex-by-complex multiplication.
+  @param[in]     pSrcA       points to first input vector
+  @param[in]     pSrcB       points to second input vector
+  @param[out]    pDst        points to output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+                   Input down scaling is not required.
+ */
+
+void arm_cmplx_mult_cmplx_q31(
+  const q31_t * pSrcA,
+  const q31_t * pSrcB,
+        q31_t * pDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t a, b, c, d;                              /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i    ] = A[2 * i] * B[2 * i    ] - A[2 * i + 1] * B[2 * i + 1]. */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i    ]. */
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+    /* store result in 3.29 format in destination buffer. */
+    *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+    *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+    *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+    *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+    *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+    *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+    *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+    *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i    ] = A[2 * i] * B[2 * i    ] - A[2 * i + 1] * B[2 * i + 1]. */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i    ]. */
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store result in 3.29 format in destination buffer. */
+    *pDst++ = (q31_t) ( (((q63_t) a * c) >> 33) - (((q63_t) b * d) >> 33) );
+    *pDst++ = (q31_t) ( (((q63_t) a * d) >> 33) + (((q63_t) b * c) >> 33) );
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of CmplxByCmplxMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
new file mode 100644
index 0000000..2b7d087
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
@@ -0,0 +1,169 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mult_real_f32.c
+ * Description:  Floating-point complex by real multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @defgroup CmplxByRealMult Complex-by-Real Multiplication
+
+  Multiplies a complex vector by a real vector and generates a complex result.
+  The data in the complex arrays is stored in an interleaved fashion
+  (real, imag, real, imag, ...).
+  The parameter <code>numSamples</code> represents the number of complex
+  samples processed.  The complex arrays have a total of <code>2*numSamples</code>
+  real values while the real array has a total of <code>numSamples</code>
+  real values.
+
+  The underlying algorithm is used:
+
+  <pre>
+  for (n = 0; n < numSamples; n++) {
+      pCmplxDst[(2*n)+0] = pSrcCmplx[(2*n)+0] * pSrcReal[n];
+      pCmplxDst[(2*n)+1] = pSrcCmplx[(2*n)+1] * pSrcReal[n];
+  }
+  </pre>
+
+  There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+  @addtogroup CmplxByRealMult
+  @{
+ */
+
+/**
+  @brief         Floating-point complex-by-real multiplication.
+  @param[in]     pSrcCmplx   points to complex input vector
+  @param[in]     pSrcReal    points to real input vector
+  @param[out]    pCmplxDst   points to complex output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+ */
+
+void arm_cmplx_mult_real_f32(
+  const float32_t * pSrcCmplx,
+  const float32_t * pSrcReal,
+        float32_t * pCmplxDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        float32_t in;                                  /* Temporary variable */
+
+#if defined(ARM_MATH_NEON)
+    float32x4_t r;
+    float32x4x2_t ab,outCplx;
+
+    /* Compute 4 outputs at a time */
+    blkCnt = numSamples >> 2U;
+
+    while (blkCnt > 0U)
+    {
+        ab = vld2q_f32(pSrcCmplx);  // load & separate real/imag pSrcA (de-interleave 2)
+        r = vld1q_f32(pSrcReal);  // load & separate real/imag pSrcB
+
+	/* Increment pointers */
+        pSrcCmplx += 8;
+        pSrcReal += 4;
+
+        outCplx.val[0] = vmulq_f32(ab.val[0], r);
+        outCplx.val[1] = vmulq_f32(ab.val[1], r);
+
+        vst2q_f32(pCmplxDst, outCplx);
+        pCmplxDst += 8;
+
+        blkCnt--;
+    }
+
+    /* Tail */
+    blkCnt = numSamples & 3;
+#else
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i    ] = A[2 * i    ] * B[i]. */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+    in = *pSrcReal++;
+    /* store result in destination buffer. */
+    *pCmplxDst++ = *pSrcCmplx++ * in;
+    *pCmplxDst++ = *pSrcCmplx++ * in;
+
+    in = *pSrcReal++;
+    *pCmplxDst++ = *pSrcCmplx++ * in;
+    *pCmplxDst++ = *pSrcCmplx++ * in;
+
+    in = *pSrcReal++;
+    *pCmplxDst++ = *pSrcCmplx++ * in;
+    *pCmplxDst++ = *pSrcCmplx++ * in;
+
+    in = *pSrcReal++;
+    *pCmplxDst++ = *pSrcCmplx++* in;
+    *pCmplxDst++ = *pSrcCmplx++ * in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+#endif /* #if defined(ARM_MATH_NEON) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i    ] = A[2 * i    ] * B[i]. */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+    in = *pSrcReal++;
+    /* store result in destination buffer. */
+    *pCmplxDst++ = *pSrcCmplx++ * in;
+    *pCmplxDst++ = *pSrcCmplx++ * in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of CmplxByRealMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
new file mode 100644
index 0000000..b6d3cb8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
@@ -0,0 +1,182 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mult_real_q15.c
+ * Description:  Q15 complex by real multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @addtogroup CmplxByRealMult
+  @{
+ */
+
+/**
+  @brief         Q15 complex-by-real multiplication.
+  @param[in]     pSrcCmplx   points to complex input vector
+  @param[in]     pSrcReal    points to real input vector
+  @param[out]    pCmplxDst   points to complex output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+
+void arm_cmplx_mult_real_q15(
+  const q15_t * pSrcCmplx,
+  const q15_t * pSrcReal,
+        q15_t * pCmplxDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q15_t in;                                      /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+#if defined (ARM_MATH_DSP)
+        q31_t inA1, inA2;                              /* Temporary variables to hold input data */
+        q31_t inB1;                                    /* Temporary variables to hold input data */
+        q15_t out1, out2, out3, out4;                  /* Temporary variables to hold output data */
+        q31_t mul1, mul2, mul3, mul4;                  /* Temporary variables to hold intermediate data */
+#endif
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i    ] = A[2 * i    ] * B[i]. */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+#if defined (ARM_MATH_DSP)
+    /* read 2 complex numbers both real and imaginary from complex input buffer */
+    inA1 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+    inA2 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+    /* read 2 real values at a time from real input buffer */
+    inB1 = read_q15x2_ia ((q15_t **) &pSrcReal);
+
+    /* multiply complex number with real numbers */
+#ifndef ARM_MATH_BIG_ENDIAN
+    mul1 = (q31_t) ((q15_t) (inA1)       * (q15_t) (inB1));
+    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+    mul3 = (q31_t) ((q15_t) (inA2)       * (q15_t) (inB1 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+#else
+    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+    mul1 = (q31_t) ((q15_t) inA1         * (q15_t) (inB1 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+    mul3 = (q31_t) ((q15_t) inA2         * (q15_t) inB1);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* saturate the result */
+    out1 = (q15_t) __SSAT(mul1 >> 15U, 16);
+    out2 = (q15_t) __SSAT(mul2 >> 15U, 16);
+    out3 = (q15_t) __SSAT(mul3 >> 15U, 16);
+    out4 = (q15_t) __SSAT(mul4 >> 15U, 16);
+
+    /* pack real and imaginary outputs and store them to destination */
+    write_q15x2_ia (&pCmplxDst, __PKHBT(out1, out2, 16));
+    write_q15x2_ia (&pCmplxDst, __PKHBT(out3, out4, 16));
+
+    inA1 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+    inA2 = read_q15x2_ia ((q15_t **) &pSrcCmplx);
+    inB1 = read_q15x2_ia ((q15_t **) &pSrcReal);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    mul1 = (q31_t) ((q15_t) (inA1)       * (q15_t) (inB1));
+    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+    mul3 = (q31_t) ((q15_t) (inA2)       * (q15_t) (inB1 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+#else
+    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+    mul1 = (q31_t) ((q15_t) inA1         * (q15_t) (inB1 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+    mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    out1 = (q15_t) __SSAT(mul1 >> 15U, 16);
+    out2 = (q15_t) __SSAT(mul2 >> 15U, 16);
+    out3 = (q15_t) __SSAT(mul3 >> 15U, 16);
+    out4 = (q15_t) __SSAT(mul4 >> 15U, 16);
+
+    write_q15x2_ia (&pCmplxDst, __PKHBT(out1, out2, 16));
+    write_q15x2_ia (&pCmplxDst, __PKHBT(out3, out4, 16));
+#else
+    in = *pSrcReal++;
+    *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+    *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+    in = *pSrcReal++;
+    *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+    *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+    in = *pSrcReal++;
+    *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+    *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+    in = *pSrcReal++;
+    *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+    *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i    ] = A[2 * i    ] * B[i]. */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+    in = *pSrcReal++;
+    /* store the result in the destination buffer. */
+    *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+    *pCmplxDst++ = (q15_t) __SSAT((((q31_t) *pSrcCmplx++ * in) >> 15), 16);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of CmplxByRealMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
new file mode 100644
index 0000000..f3142b0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
@@ -0,0 +1,148 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mult_real_q31.c
+ * Description:  Q31 complex by real multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupCmplxMath
+ */
+
+/**
+  @addtogroup CmplxByRealMult
+  @{
+ */
+
+/**
+  @brief         Q31 complex-by-real multiplication.
+  @param[in]     pSrcCmplx   points to complex input vector
+  @param[in]     pSrcReal    points to real input vector
+  @param[out]    pCmplxDst   points to complex output vector
+  @param[in]     numSamples  number of samples in each vector
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+void arm_cmplx_mult_real_q31(
+  const q31_t * pSrcCmplx,
+  const q31_t * pSrcReal,
+        q31_t * pCmplxDst,
+        uint32_t numSamples)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t in;                                      /* Temporary variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = numSamples >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i    ] = A[2 * i    ] * B[i]. */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+    in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+    /* store saturated result in 1.31 format to destination buffer */
+    *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+    *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+    /* store result in destination buffer. */
+    *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+    *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+    in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+    *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+    *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+    *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+    *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+    in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+    *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+    *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+    *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+    *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+    in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+    *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+    *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+    *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+    *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i    ] = A[2 * i    ] * B[i]. */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i]. */
+
+    in = *pSrcReal++;
+#if defined (ARM_MATH_DSP)
+    /* store saturated result in 1.31 format to destination buffer */
+    *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+    *pCmplxDst++ = (__SSAT((q31_t) (((q63_t) *pSrcCmplx++ * in) >> 32), 31) << 1);
+#else
+    /* store result in destination buffer. */
+    *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+    *pCmplxDst++ = (q31_t) clip_q63_to_q31(((q63_t) *pSrcCmplx++ * in) >> 31);
+#endif
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of CmplxByRealMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ControllerFunctions/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/ControllerFunctions/CMakeLists.txt
new file mode 100644
index 0000000..93014b7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ControllerFunctions/CMakeLists.txt
@@ -0,0 +1,37 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPController)
+
+add_library(CMSISDSPController STATIC)
+
+configdsp(CMSISDSPController ..)
+
+include(interpol)
+interpol(CMSISDSPController)
+
+if (CONFIGTABLE AND ALLFAST)
+    target_compile_definitions(CMSISDSPController PUBLIC ARM_ALL_FAST_TABLES)  
+endif()
+
+target_sources(CMSISDSPController PRIVATE arm_pid_init_f32.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_init_q15.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_init_q31.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_reset_f32.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_reset_q15.c)
+target_sources(CMSISDSPController PRIVATE arm_pid_reset_q31.c)
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_COS_F32)
+target_sources(CMSISDSPController PRIVATE arm_sin_cos_f32.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_COS_Q31)
+target_sources(CMSISDSPController PRIVATE arm_sin_cos_q31.c)
+endif()
+
+
+
+### Includes
+target_include_directories(CMSISDSPController PUBLIC "${DSP}/../../Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/ControllerFunctions/ControllerFunctions.c b/Drivers/CMSIS/DSP/Source/ControllerFunctions/ControllerFunctions.c
new file mode 100644
index 0000000..edd3bf2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ControllerFunctions/ControllerFunctions.c
@@ -0,0 +1,37 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        ControllerFunctions.c
+ * Description:  Combination of all controller function source files.
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_pid_init_f32.c"
+#include "arm_pid_init_q15.c"
+#include "arm_pid_init_q31.c"
+#include "arm_pid_reset_f32.c"
+#include "arm_pid_reset_q15.c"
+#include "arm_pid_reset_q31.c"
+#include "arm_sin_cos_f32.c"
+#include "arm_sin_cos_q31.c"
+
diff --git a/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c
new file mode 100644
index 0000000..0e4d5d6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c
@@ -0,0 +1,75 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_pid_init_f32.c
+ * Description:  Floating-point PID Control initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @addtogroup PID
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point PID Control.
+  @param[in,out] S               points to an instance of the PID structure
+  @param[in]     resetStateFlag
+                   - value = 0: no change in state
+                   - value = 1: reset state
+  @return        none
+
+  @par           Details
+                   The <code>resetStateFlag</code> specifies whether to set state to zero or not. \n
+                   The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code>
+                   using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)
+                   also sets the state variables to all zeros.
+ */
+
+void arm_pid_init_f32(
+  arm_pid_instance_f32 * S,
+  int32_t resetStateFlag)
+{
+  /* Derived coefficient A0 */
+  S->A0 = S->Kp + S->Ki + S->Kd;
+
+  /* Derived coefficient A1 */
+  S->A1 = (-S->Kp) - ((float32_t) 2.0 * S->Kd);
+
+  /* Derived coefficient A2 */
+  S->A2 = S->Kd;
+
+  /* Check whether state needs reset or not */
+  if (resetStateFlag)
+  {
+    /* Reset state to zero, The size will be always 3 samples */
+    memset(S->state, 0, 3U * sizeof(float32_t));
+  }
+
+}
+
+/**
+  @} end of PID group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c
new file mode 100644
index 0000000..3f82711
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c
@@ -0,0 +1,95 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_pid_init_q15.c
+ * Description:  Q15 PID Control initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @addtogroup PID
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q15 PID Control.
+  @param[in,out] S               points to an instance of the Q15 PID structure
+  @param[in]     resetStateFlag
+                   - value = 0: no change in state
+                   - value = 1: reset state
+  @return        none
+
+  @par           Details
+                   The <code>resetStateFlag</code> specifies whether to set state to zero or not. \n
+                   The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code>
+                   using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)
+                   also sets the state variables to all zeros.
+ */
+
+void arm_pid_init_q15(
+  arm_pid_instance_q15 * S,
+  int32_t resetStateFlag)
+{
+
+#if defined (ARM_MATH_DSP)
+
+  /* Derived coefficient A0 */
+  S->A0 = __QADD16(__QADD16(S->Kp, S->Ki), S->Kd);
+
+  /* Derived coefficients and pack into A1 */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+  S->A1 = __PKHBT(-__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), S->Kd, 16);
+#else
+  S->A1 = __PKHBT(S->Kd, -__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), 16);
+#endif
+
+#else
+
+  q31_t temp;                                    /* to store the sum */
+
+  /* Derived coefficient A0 */
+  temp = S->Kp + S->Ki + S->Kd;
+  S->A0 = (q15_t) __SSAT(temp, 16);
+
+  /* Derived coefficients and pack into A1 */
+  temp = -(S->Kd + S->Kd + S->Kp);
+  S->A1 = (q15_t) __SSAT(temp, 16);
+  S->A2 = S->Kd;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  /* Check whether state needs reset or not */
+  if (resetStateFlag)
+  {
+    /* Reset state to zero, The size will be always 3 samples */
+    memset(S->state, 0, 3U * sizeof(q15_t));
+  }
+
+}
+
+/**
+  @} end of PID group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c
new file mode 100644
index 0000000..680d463
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_pid_init_q31.c
+ * Description:  Q31 PID Control initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @addtogroup PID
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q31 PID Control.
+  @param[in,out] S               points to an instance of the Q31 PID structure
+  @param[in]     resetStateFlag
+                   - value = 0: no change in state
+                   - value = 1: reset state
+  @return        none
+
+  @par           Details
+                   The <code>resetStateFlag</code> specifies whether to set state to zero or not. \n
+                   The function computes the structure fields: <code>A0</code>, <code>A1</code> <code>A2</code>
+                   using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)
+                   also sets the state variables to all zeros.
+ */
+
+void arm_pid_init_q31(
+  arm_pid_instance_q31 * S,
+  int32_t resetStateFlag)
+{
+
+#if defined (ARM_MATH_DSP)
+
+  /* Derived coefficient A0 */
+  S->A0 = __QADD(__QADD(S->Kp, S->Ki), S->Kd);
+
+  /* Derived coefficient A1 */
+  S->A1 = -__QADD(__QADD(S->Kd, S->Kd), S->Kp);
+
+#else
+
+  q31_t temp;                                    /* to store the sum */
+
+  /* Derived coefficient A0 */
+  temp = clip_q63_to_q31((q63_t) S->Kp + S->Ki);
+  S->A0 = clip_q63_to_q31((q63_t) temp + S->Kd);
+
+  /* Derived coefficient A1 */
+  temp = clip_q63_to_q31((q63_t) S->Kd + S->Kd);
+  S->A1 = -clip_q63_to_q31((q63_t) temp + S->Kp);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  /* Derived coefficient A2 */
+  S->A2 = S->Kd;
+
+  /* Check whether state needs reset or not */
+  if (resetStateFlag)
+  {
+    /* Reset state to zero, The size will be always 3 samples */
+    memset(S->state, 0, 3U * sizeof(q31_t));
+  }
+
+}
+
+/**
+  @} end of PID group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c
new file mode 100644
index 0000000..ed1038e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c
@@ -0,0 +1,54 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_pid_reset_f32.c
+ * Description:  Floating-point PID Control reset function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @addtogroup PID
+  @{
+ */
+
+/**
+  @brief         Reset function for the floating-point PID Control.
+  @param[in,out] S  points to an instance of the floating-point PID structure
+  @return        none
+
+  @par           Details
+                   The function resets the state buffer to zeros.
+ */
+
+void arm_pid_reset_f32(
+  arm_pid_instance_f32 * S)
+{
+  /* Reset state to zero, The size will be always 3 samples */
+  memset(S->state, 0, 3U * sizeof(float32_t));
+}
+
+/**
+  @} end of PID group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c
new file mode 100644
index 0000000..f61391e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c
@@ -0,0 +1,54 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_pid_reset_q15.c
+ * Description:  Q15 PID Control reset function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @addtogroup PID
+  @{
+ */
+
+/**
+  @brief         Reset function for the Q15 PID Control.
+  @param[in,out] S  points to an instance of the Q15 PID structure
+  @return        none
+
+  @par           Details
+                   The function resets the state buffer to zeros.
+ */
+
+void arm_pid_reset_q15(
+  arm_pid_instance_q15 * S)
+{
+  /* Reset state to zero, The size will be always 3 samples */
+  memset(S->state, 0, 3U * sizeof(q15_t));
+}
+
+/**
+  @} end of PID group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c
new file mode 100644
index 0000000..2853ea9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c
@@ -0,0 +1,54 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_pid_reset_q31.c
+ * Description:  Q31 PID Control reset function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @addtogroup PID
+  @{
+ */
+
+/**
+  @brief         Reset function for the Q31 PID Control.
+  @param[in,out] S  points to an instance of the Q31 PID structure
+  @return        none
+
+  @par           Details
+                   The function resets the state buffer to zeros.
+ */
+
+void arm_pid_reset_q31(
+  arm_pid_instance_q31 * S)
+{
+  /* Reset state to zero, The size will be always 3 samples */
+  memset(S->state, 0, 3U * sizeof(q31_t));
+}
+
+/**
+  @} end of PID group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c
new file mode 100644
index 0000000..438e4d4
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c
@@ -0,0 +1,146 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sin_cos_f32.c
+ * Description:  Sine and Cosine calculation for floating-point values
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupController
+ */
+
+/**
+  @defgroup SinCos Sine Cosine
+
+  Computes the trigonometric sine and cosine values using a combination of table lookup
+  and linear interpolation.
+  There are separate functions for Q31 and floating-point data types.
+  The input to the floating-point version is in degrees while the
+  fixed-point Q31 have a scaled input with the range
+  [-1 0.9999] mapping to [-180 +180] degrees.
+
+  The floating point function also allows values that are out of the usual range. When this happens, the function will
+  take extra time to adjust the input value to the range of [-180 180].
+
+  The result is accurate to 5 digits after the decimal point.
+
+  The implementation is based on table lookup using 360 values together with linear interpolation.
+  The steps used are:
+   -# Calculation of the nearest integer table index.
+   -# Compute the fractional portion (fract) of the input.
+   -# Fetch the value corresponding to \c index from sine table to \c y0 and also value from \c index+1 to \c y1.
+   -# Sine value is computed as <code> *psinVal = y0 + (fract * (y1 - y0))</code>.
+   -# Fetch the value corresponding to \c index from cosine table to \c y0 and also value from \c index+1 to \c y1.
+   -# Cosine value is computed as <code> *pcosVal = y0 + (fract * (y1 - y0))</code>.
+ */
+
+/**
+  @addtogroup SinCos
+  @{
+ */
+
+/**
+  @brief         Floating-point sin_cos function.
+  @param[in]     theta    input value in degrees
+  @param[out]    pSinVal  points to processed sine output
+  @param[out]    pCosVal  points to processed cosine output
+  @return        none
+ */
+
+void arm_sin_cos_f32(
+  float32_t theta,
+  float32_t * pSinVal,
+  float32_t * pCosVal)
+{
+  float32_t fract, in;                             /* Temporary input, output variables */
+  uint16_t indexS, indexC;                         /* Index variable */
+  float32_t f1, f2, d1, d2;                        /* Two nearest output values */
+  float32_t Dn, Df;
+  float32_t temp, findex;
+
+  /* input x is in degrees */
+  /* Scale input, divide input by 360, for cosine add 0.25 (pi/2) to read sine table */
+  in = theta * 0.00277777777778f;
+
+  if (in < 0.0f)
+  {
+    in = -in;
+  }
+
+  in = in - (int32_t)in;
+
+  /* Calculate the nearest index */
+  findex = (float32_t)FAST_MATH_TABLE_SIZE * in;
+  indexS = ((uint16_t)findex) & 0x1ff;
+  indexC = (indexS + (FAST_MATH_TABLE_SIZE / 4)) & 0x1ff;
+
+  /* Calculation of fractional value */
+  fract = findex - (float32_t) indexS;
+
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 =  sinTable_f32[indexC  ];
+  f2 =  sinTable_f32[indexC+1];
+  d1 = -sinTable_f32[indexS  ];
+  d2 = -sinTable_f32[indexS+1];
+
+  temp = (1.0f - fract) * f1 + fract * f2;
+
+  Dn = 0.0122718463030f; /* delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE */
+  Df = f2 - f1;          /* delta between the values of the functions */
+
+  temp = Dn * (d1 + d2) - 2 * Df;
+  temp = fract * temp + (3 * Df - (d2 + 2 * d1) * Dn);
+  temp = fract * temp + d1 * Dn;
+
+  /* Calculation of cosine value */
+  *pCosVal = fract * temp + f1;
+
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 = sinTable_f32[indexS  ];
+  f2 = sinTable_f32[indexS+1];
+  d1 = sinTable_f32[indexC  ];
+  d2 = sinTable_f32[indexC+1];
+
+  temp = (1.0f - fract) * f1 + fract * f2;
+
+  Df = f2 - f1; // delta between the values of the functions
+  temp = Dn * (d1 + d2) - 2 * Df;
+  temp = fract * temp + (3 * Df - (d2 + 2 * d1) * Dn);
+  temp = fract * temp + d1 * Dn;
+
+  /* Calculation of sine value */
+  *pSinVal = fract * temp + f1;
+
+  if (theta < 0.0f)
+  {
+    *pSinVal = -*pSinVal;
+  }
+}
+
+/**
+  @} end of SinCos group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c
new file mode 100644
index 0000000..dcc45aa
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c
@@ -0,0 +1,110 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sin_cos_q31.c
+ * Description:  Cosine & Sine calculation for Q31 values
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupController
+ */
+
+/**
+  @addtogroup SinCos
+  @{
+ */
+
+/**
+  @brief         Q31 sin_cos function.
+  @param[in]     theta    scaled input value in degrees
+  @param[out]    pSinVal  points to processed sine output
+  @param[out]    pCosVal  points to processed cosine output
+  @return        none
+
+  The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179].
+ */
+
+void arm_sin_cos_q31(
+  q31_t theta,
+  q31_t * pSinVal,
+  q31_t * pCosVal)
+{
+  q31_t fract;                                     /* Temporary input, output variables */
+  uint16_t indexS, indexC;                         /* Index variable */
+  q31_t f1, f2, d1, d2;                            /* Two nearest output values */
+  q31_t Dn, Df;
+  q63_t temp;
+
+  /* Calculate the nearest index */
+  indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT;
+  indexC = (indexS + 128) & 0x1ff;
+
+  /* Calculation of fractional value */
+  fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8;
+
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 =  sinTable_q31[indexC  ];
+  f2 =  sinTable_q31[indexC+1];
+  d1 = -sinTable_q31[indexS  ];
+  d2 = -sinTable_q31[indexS+1];
+
+  Dn = 0x1921FB5; /* delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE */
+  Df = f2 - f1;   /* delta between the values of the functions */
+
+  temp = Dn * ((q63_t)d1 + d2);
+  temp = temp - ((q63_t)Df << 32);
+  temp = (q63_t)fract * (temp >> 31);
+  temp = temp + ((3 * (q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1)) * Dn);
+  temp = (q63_t)fract * (temp >> 31);
+  temp = temp + (q63_t)d1 * Dn;
+  temp = (q63_t)fract * (temp >> 31);
+
+  /* Calculation of cosine value */
+  *pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 = sinTable_q31[indexS ];
+  f2 = sinTable_q31[indexS+1];
+  d1 = sinTable_q31[indexC ];
+  d2 = sinTable_q31[indexC+1];
+
+  Df = f2 - f1; // delta between the values of the functions
+  temp = Dn * ((q63_t)d1 + d2);
+  temp = temp - ((q63_t)Df << 32);
+  temp = (q63_t)fract * (temp >> 31);
+  temp = temp + ((3 * (q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1)) * Dn);
+  temp = (q63_t)fract * (temp >> 31);
+  temp = temp + (q63_t)d1 * Dn;
+  temp = (q63_t)fract * (temp >> 31);
+
+  /* Calculation of sine value */
+  *pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+}
+
+/**
+  @} end of SinCos group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FastMathFunctions/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/FastMathFunctions/CMakeLists.txt
new file mode 100644
index 0000000..c42a05b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FastMathFunctions/CMakeLists.txt
@@ -0,0 +1,51 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPFastMath)
+
+
+file(GLOB SRC "./*_*.c")
+
+add_library(CMSISDSPFastMath STATIC)
+
+include(interpol)
+interpol(CMSISDSPFastMath)
+
+if (CONFIGTABLE AND ALLFAST)
+    target_compile_definitions(CMSISDSPFastMath PUBLIC ARM_ALL_FAST_TABLES)  
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_COS_F32)
+target_sources(CMSISDSPFastMath PRIVATE arm_cos_f32.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_COS_Q15)
+target_sources(CMSISDSPFastMath PRIVATE arm_cos_q15.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_COS_Q31)
+target_sources(CMSISDSPFastMath PRIVATE arm_cos_q31.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_F32)
+target_sources(CMSISDSPFastMath PRIVATE arm_sin_f32.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_Q15)
+target_sources(CMSISDSPFastMath PRIVATE arm_sin_q15.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_SIN_Q31)
+target_sources(CMSISDSPFastMath PRIVATE arm_sin_q31.c)
+endif()
+
+target_sources(CMSISDSPFastMath PRIVATE arm_sqrt_q15.c)
+target_sources(CMSISDSPFastMath PRIVATE arm_sqrt_q31.c)
+
+
+configdsp(CMSISDSPFastMath ..)
+
+### Includes
+target_include_directories(CMSISDSPFastMath PUBLIC "${DSP}/../../Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/FastMathFunctions/FastMathFunctions.c b/Drivers/CMSIS/DSP/Source/FastMathFunctions/FastMathFunctions.c
new file mode 100644
index 0000000..a856678
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FastMathFunctions/FastMathFunctions.c
@@ -0,0 +1,37 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        FastMathFunctions.c
+ * Description:  Combination of all fast math function source files.
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_cos_f32.c"
+#include "arm_cos_q15.c"
+#include "arm_cos_q31.c"
+#include "arm_sin_f32.c"
+#include "arm_sin_q15.c"
+#include "arm_sin_q31.c"
+#include "arm_sqrt_q15.c"
+#include "arm_sqrt_q31.c"
+
diff --git a/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_f32.c b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_f32.c
new file mode 100644
index 0000000..78207d8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_f32.c
@@ -0,0 +1,122 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cos_f32.c
+ * Description:  Fast cosine calculation for floating-point values
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupFastMath
+ */
+
+/**
+  @defgroup cos Cosine
+
+  Computes the trigonometric cosine function using a combination of table lookup
+  and linear interpolation.  There are separate functions for
+  Q15, Q31, and floating-point data types.
+  The input to the floating-point version is in radians while the
+  fixed-point Q15 and Q31 have a scaled input with the range
+  [0 +0.9999] mapping to [0 2*pi).  The fixed-point range is chosen so that a
+  value of 2*pi wraps around to 0.
+
+  The implementation is based on table lookup using 256 values together with linear interpolation.
+  The steps used are:
+   -# Calculation of the nearest integer table index
+   -# Compute the fractional portion (fract) of the table index.
+   -# The final result equals <code>(1.0f-fract)*a + fract*b;</code>
+
+  where
+  <pre>
+     b = Table[index];
+     c = Table[index+1];
+  </pre>
+ */
+
+/**
+  @addtogroup cos
+  @{
+ */
+
+/**
+  @brief         Fast approximation to the trigonometric cosine function for floating-point data.
+  @param[in]     x  input value in radians
+  @return        cos(x)
+ */
+
+float32_t arm_cos_f32(
+  float32_t x)
+{
+  float32_t cosVal, fract, in;                   /* Temporary input, output variables */
+  uint16_t index;                                /* Index variable */
+  float32_t a, b;                                /* Two nearest output values */
+  int32_t n;
+  float32_t findex;
+
+  /* input x is in radians */
+  /* Scale input to [0 1] range from [0 2*PI] , divide input by 2*pi, add 0.25 (pi/2) to read sine table */
+  in = x * 0.159154943092f + 0.25f;
+
+  /* Calculation of floor value of input */
+  n = (int32_t) in;
+
+  /* Make negative values towards -infinity */
+  if (in < 0.0f)
+  {
+    n--;
+  }
+
+  /* Map input value to [0 1] */
+  in = in - (float32_t) n;
+
+  /* Calculation of index of the table */
+  findex = (float32_t)FAST_MATH_TABLE_SIZE * in;
+  index = (uint16_t)findex;
+
+  /* when "in" is exactly 1, we need to rotate the index down to 0 */
+  if (index >= FAST_MATH_TABLE_SIZE) {
+    index = 0;
+    findex -= (float32_t)FAST_MATH_TABLE_SIZE;
+  }
+
+  /* fractional value calculation */
+  fract = findex - (float32_t) index;
+
+  /* Read two nearest values of input value from the cos table */
+  a = sinTable_f32[index];
+  b = sinTable_f32[index+1];
+
+  /* Linear interpolation process */
+  cosVal = (1.0f - fract) * a + fract * b;
+
+  /* Return output value */
+  return (cosVal);
+}
+
+/**
+  @} end of cos group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c
new file mode 100644
index 0000000..aef47da
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c
@@ -0,0 +1,84 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cos_q15.c
+ * Description:  Fast cosine calculation for Q15 values
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupFastMath
+ */
+
+/**
+  @addtogroup cos
+  @{
+ */
+
+/**
+  @brief         Fast approximation to the trigonometric cosine function for Q15 data.
+  @param[in]     x  Scaled input value in radians
+  @return        cos(x)
+
+  The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI).
+ */
+
+q15_t arm_cos_q15(
+  q15_t x)
+{
+  q15_t cosVal;                                  /* Temporary input, output variables */
+  int32_t index;                                 /* Index variable */
+  q15_t a, b;                                    /* Two nearest output values */
+  q15_t fract;                                   /* Temporary values for fractional values */
+
+  /* add 0.25 (pi/2) to read sine table */
+  x = (uint16_t)x + 0x2000;
+  if (x < 0)
+  { /* convert negative numbers to corresponding positive ones */
+    x = (uint16_t)x + 0x8000;
+  }
+
+  /* Calculate the nearest index */
+  index = (uint32_t)x >> FAST_MATH_Q15_SHIFT;
+
+  /* Calculation of fractional value */
+  fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9;
+
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_q15[index];
+  b = sinTable_q15[index+1];
+
+  /* Linear interpolation process */
+  cosVal = (q31_t) (0x8000 - fract) * a >> 16;
+  cosVal = (q15_t) ((((q31_t) cosVal << 16) + ((q31_t) fract * b)) >> 16);
+
+  /* Return output value */
+  return (cosVal << 1);
+}
+
+/**
+  @} end of cos group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c
new file mode 100644
index 0000000..fa42eee
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c
@@ -0,0 +1,84 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cos_q31.c
+ * Description:  Fast cosine calculation for Q31 values
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupFastMath
+ */
+
+/**
+  @addtogroup cos
+  @{
+ */
+
+/**
+  @brief         Fast approximation to the trigonometric cosine function for Q31 data.
+  @param[in]     x  Scaled input value in radians
+  @return        cos(x)
+
+  The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI).
+ */
+
+q31_t arm_cos_q31(
+  q31_t x)
+{
+  q31_t cosVal;                                  /* Temporary input, output variables */
+  int32_t index;                                 /* Index variable */
+  q31_t a, b;                                    /* Two nearest output values */
+  q31_t fract;                                   /* Temporary values for fractional values */
+
+  /* add 0.25 (pi/2) to read sine table */
+  x = (uint32_t)x + 0x20000000;
+  if (x < 0)
+  { /* convert negative numbers to corresponding positive ones */
+    x = (uint32_t)x + 0x80000000;
+  }
+
+  /* Calculate the nearest index */
+  index = (uint32_t)x >> FAST_MATH_Q31_SHIFT;
+
+  /* Calculation of fractional value */
+  fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9;
+
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_q31[index];
+  b = sinTable_q31[index+1];
+
+  /* Linear interpolation process */
+  cosVal = (q63_t) (0x80000000 - fract) * a >> 32;
+  cosVal = (q31_t) ((((q63_t) cosVal << 32) + ((q63_t) fract * b)) >> 32);
+
+  /* Return output value */
+  return (cosVal << 1);
+}
+
+/**
+  @} end of cos group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_f32.c b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_f32.c
new file mode 100644
index 0000000..674765e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_f32.c
@@ -0,0 +1,122 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sin_f32.c
+ * Description:  Fast sine calculation for floating-point values
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupFastMath
+ */
+
+/**
+  @defgroup sin Sine
+
+  Computes the trigonometric sine function using a combination of table lookup
+  and linear interpolation.  There are separate functions for
+  Q15, Q31, and floating-point data types.
+  The input to the floating-point version is in radians while the
+  fixed-point Q15 and Q31 have a scaled input with the range
+  [0 +0.9999] mapping to [0 2*pi).  The fixed-point range is chosen so that a
+  value of 2*pi wraps around to 0.
+
+  The implementation is based on table lookup using 256 values together with linear interpolation.
+  The steps used are:
+   -# Calculation of the nearest integer table index
+   -# Compute the fractional portion (fract) of the table index.
+   -# The final result equals <code>(1.0f-fract)*a + fract*b;</code>
+
+  where
+  <pre>
+     b = Table[index];
+     c = Table[index+1];
+  </pre>
+ */
+
+/**
+  @addtogroup sin
+  @{
+ */
+
+/**
+  @brief         Fast approximation to the trigonometric sine function for floating-point data.
+  @param[in]     x  input value in radians.
+  @return        sin(x)
+ */
+
+float32_t arm_sin_f32(
+  float32_t x)
+{
+  float32_t sinVal, fract, in;                   /* Temporary input, output variables */
+  uint16_t index;                                /* Index variable */
+  float32_t a, b;                                /* Two nearest output values */
+  int32_t n;
+  float32_t findex;
+
+  /* input x is in radians */
+  /* Scale input to [0 1] range from [0 2*PI] , divide input by 2*pi */
+  in = x * 0.159154943092f;
+
+  /* Calculation of floor value of input */
+  n = (int32_t) in;
+
+  /* Make negative values towards -infinity */
+  if (in < 0.0f)
+  {
+    n--;
+  }
+
+  /* Map input value to [0 1] */
+  in = in - (float32_t) n;
+
+  /* Calculation of index of the table */
+  findex = (float32_t)FAST_MATH_TABLE_SIZE * in;
+  index = (uint16_t)findex;
+
+  /* when "in" is exactly 1, we need to rotate the index down to 0 */
+  if (index >= FAST_MATH_TABLE_SIZE) {
+    index = 0;
+    findex -= (float32_t)FAST_MATH_TABLE_SIZE;
+  }
+
+  /* fractional value calculation */
+  fract = findex - (float32_t) index;
+
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_f32[index];
+  b = sinTable_f32[index+1];
+
+  /* Linear interpolation process */
+  sinVal = (1.0f - fract) * a + fract * b;
+
+  /* Return output value */
+  return (sinVal);
+}
+
+/**
+  @} end of sin group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c
new file mode 100644
index 0000000..edc8b38
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c
@@ -0,0 +1,77 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sin_q15.c
+ * Description:  Fast sine calculation for Q15 values
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupFastMath
+ */
+
+/**
+  @addtogroup sin
+  @{
+ */
+
+/**
+  @brief         Fast approximation to the trigonometric sine function for Q15 data.
+  @param[in]     x  Scaled input value in radians
+  @return        sin(x)
+
+  The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI).
+ */
+
+q15_t arm_sin_q15(
+  q15_t x)
+{
+  q15_t sinVal;                                  /* Temporary input, output variables */
+  int32_t index;                                 /* Index variable */
+  q15_t a, b;                                    /* Two nearest output values */
+  q15_t fract;                                   /* Temporary values for fractional values */
+
+  /* Calculate the nearest index */
+  index = (uint32_t)x >> FAST_MATH_Q15_SHIFT;
+
+  /* Calculation of fractional value */
+  fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9;
+
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_q15[index];
+  b = sinTable_q15[index+1];
+
+  /* Linear interpolation process */
+  sinVal = (q31_t) (0x8000 - fract) * a >> 16;
+  sinVal = (q15_t) ((((q31_t) sinVal << 16) + ((q31_t) fract * b)) >> 16);
+
+  /* Return output value */
+  return (sinVal << 1);
+}
+
+/**
+  @} end of sin group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c
new file mode 100644
index 0000000..849cc11
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c
@@ -0,0 +1,77 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sin_q31.c
+ * Description:  Fast sine calculation for Q31 values
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupFastMath
+ */
+
+/**
+  @addtogroup sin
+  @{
+ */
+
+/**
+  @brief         Fast approximation to the trigonometric sine function for Q31 data.
+  @param[in]     x  Scaled input value in radians
+  @return        sin(x)
+
+  The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*PI).
+ */
+
+q31_t arm_sin_q31(
+  q31_t x)
+{
+  q31_t sinVal;                                  /* Temporary variables for input, output */
+  int32_t index;                                 /* Index variable */
+  q31_t a, b;                                    /* Two nearest output values */
+  q31_t fract;                                   /* Temporary values for fractional values */
+
+  /* Calculate the nearest index */
+  index = (uint32_t)x >> FAST_MATH_Q31_SHIFT;
+
+  /* Calculation of fractional value */
+  fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9;
+
+  /* Read two nearest values of input value from the sin table */
+  a = sinTable_q31[index];
+  b = sinTable_q31[index+1];
+
+  /* Linear interpolation process */
+  sinVal = (q63_t) (0x80000000 - fract) * a >> 32;
+  sinVal = (q31_t) ((((q63_t) sinVal << 32) + ((q63_t) fract * b)) >> 32);
+
+  /* Return output value */
+  return (sinVal << 1);
+}
+
+/**
+  @} end of sin group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c
new file mode 100644
index 0000000..1dc7bc4
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c
@@ -0,0 +1,144 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sqrt_q15.c
+ * Description:  Q15 square root function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupFastMath
+ */
+
+/**
+  @addtogroup SQRT
+  @{
+ */
+
+/**
+  @brief         Q15 square root function.
+  @param[in]     in    input value.  The range of the input value is [0 +1) or 0x0000 to 0x7FFF
+  @param[out]    pOut  points to square root of input value
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : input value is positive
+                   - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0
+ */
+
+arm_status arm_sqrt_q15(
+  q15_t in,
+  q15_t * pOut)
+{
+  q31_t bits_val1;
+  q15_t number, temp1, var1, signBits1, half;
+  float32_t temp_float1;
+  union
+  {
+    q31_t fracval;
+    float32_t floatval;
+  } tempconv;
+
+  number = in;
+
+  /* If the input is a positive number then compute the signBits. */
+  if (number > 0)
+  {
+    signBits1 = __CLZ(number) - 17;
+
+    /* Shift by the number of signBits1 */
+    if ((signBits1 % 2) == 0)
+    {
+      number = number << signBits1;
+    }
+    else
+    {
+      number = number << (signBits1 - 1);
+    }
+
+    /* Calculate half value of the number */
+    half = number >> 1;
+    /* Store the number for later use */
+    temp1 = number;
+
+    /* Convert to float */
+    temp_float1 = number * 3.051757812500000e-005f;
+    /* Store as integer */
+    tempconv.floatval = temp_float1;
+    bits_val1 = tempconv.fracval;
+    /* Subtract the shifted value from the magic number to give intial guess */
+    bits_val1 = 0x5f3759df - (bits_val1 >> 1);  /* gives initial guess */
+    /* Store as float */
+    tempconv.fracval = bits_val1;
+    temp_float1 = tempconv.floatval;
+    /* Convert to integer format */
+    var1 = (q31_t) (temp_float1 * 16384);
+
+    /* 1st iteration */
+    var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
+                                     ((q15_t)
+                                      ((((q15_t)
+                                         (((q31_t) var1 * var1) >> 15)) *
+                                        (q31_t) half) >> 15))) >> 15)) << 2;
+    /* 2nd iteration */
+    var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
+                                     ((q15_t)
+                                      ((((q15_t)
+                                         (((q31_t) var1 * var1) >> 15)) *
+                                        (q31_t) half) >> 15))) >> 15)) << 2;
+    /* 3rd iteration */
+    var1 = ((q15_t) ((q31_t) var1 * (0x3000 -
+                                     ((q15_t)
+                                      ((((q15_t)
+                                         (((q31_t) var1 * var1) >> 15)) *
+                                        (q31_t) half) >> 15))) >> 15)) << 2;
+
+    /* Multiply the inverse square root with the original value */
+    var1 = ((q15_t) (((q31_t) temp1 * var1) >> 15)) << 1;
+
+    /* Shift the output down accordingly */
+    if ((signBits1 % 2) == 0)
+    {
+      var1 = var1 >> (signBits1 / 2);
+    }
+    else
+    {
+      var1 = var1 >> ((signBits1 - 1) / 2);
+    }
+    *pOut = var1;
+
+    return (ARM_MATH_SUCCESS);
+  }
+  /* If the number is a negative number then store zero as its square root value */
+  else
+  {
+    *pOut = 0;
+
+    return (ARM_MATH_ARGUMENT_ERROR);
+  }
+}
+
+/**
+  @} end of SQRT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c
new file mode 100644
index 0000000..9f2a731
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c
@@ -0,0 +1,144 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sqrt_q31.c
+ * Description:  Q31 square root function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupFastMath
+ */
+
+/**
+  @addtogroup SQRT
+  @{
+ */
+
+/**
+  @brief         Q31 square root function.
+  @param[in]     in    input value.  The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF
+  @param[out]    pOut  points to square root of input value
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : input value is positive
+                   - \ref ARM_MATH_ARGUMENT_ERROR : input value is negative; *pOut is set to 0
+ */
+
+arm_status arm_sqrt_q31(
+  q31_t in,
+  q31_t * pOut)
+{
+  q31_t bits_val1;
+  q31_t number, temp1, var1, signBits1, half;
+  float32_t temp_float1;
+  union
+  {
+    q31_t fracval;
+    float32_t floatval;
+  } tempconv;
+
+  number = in;
+
+  /* If the input is a positive number then compute the signBits. */
+  if (number > 0)
+  {
+    signBits1 = __CLZ(number) - 1;
+
+    /* Shift by the number of signBits1 */
+    if ((signBits1 % 2) == 0)
+    {
+      number = number << signBits1;
+    }
+    else
+    {
+      number = number << (signBits1 - 1);
+    }
+
+    /* Calculate half value of the number */
+    half = number >> 1;
+    /* Store the number for later use */
+    temp1 = number;
+
+    /* Convert to float */
+    temp_float1 = number * 4.6566128731e-010f;
+    /* Store as integer */
+    tempconv.floatval = temp_float1;
+    bits_val1 = tempconv.fracval;
+    /* Subtract the shifted value from the magic number to give intial guess */
+    bits_val1 = 0x5f3759df - (bits_val1 >> 1);  /* gives initial guess */
+    /* Store as float */
+    tempconv.fracval = bits_val1;
+    temp_float1 = tempconv.floatval;
+    /* Convert to integer format */
+    var1 = (q31_t) (temp_float1 * 1073741824);
+
+    /* 1st iteration */
+    var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
+                                     ((q31_t)
+                                      ((((q31_t)
+                                         (((q63_t) var1 * var1) >> 31)) *
+                                        (q63_t) half) >> 31))) >> 31)) << 2;
+    /* 2nd iteration */
+    var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
+                                     ((q31_t)
+                                      ((((q31_t)
+                                         (((q63_t) var1 * var1) >> 31)) *
+                                        (q63_t) half) >> 31))) >> 31)) << 2;
+    /* 3rd iteration */
+    var1 = ((q31_t) ((q63_t) var1 * (0x30000000 -
+                                     ((q31_t)
+                                      ((((q31_t)
+                                         (((q63_t) var1 * var1) >> 31)) *
+                                        (q63_t) half) >> 31))) >> 31)) << 2;
+
+    /* Multiply the inverse square root with the original value */
+    var1 = ((q31_t) (((q63_t) temp1 * var1) >> 31)) << 1;
+
+    /* Shift the output down accordingly */
+    if ((signBits1 % 2) == 0)
+    {
+      var1 = var1 >> (signBits1 / 2);
+    }
+    else
+    {
+      var1 = var1 >> ((signBits1 - 1) / 2);
+    }
+    *pOut = var1;
+
+    return (ARM_MATH_SUCCESS);
+  }
+  /* If the number is a negative number then store zero as its square root value */
+  else
+  {
+    *pOut = 0;
+
+    return (ARM_MATH_ARGUMENT_ERROR);
+  }
+}
+
+/**
+  @} end of SQRT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/FilteringFunctions/CMakeLists.txt
new file mode 100644
index 0000000..039a7a4
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/CMakeLists.txt
@@ -0,0 +1,128 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPFiltering)
+
+
+add_library(CMSISDSPFiltering STATIC)
+
+include(interpol)
+interpol(CMSISDSPFiltering)
+
+configdsp(CMSISDSPFiltering ..)
+
+if (CONFIGTABLE AND ALLFAST)
+target_compile_definitions(CMSISDSPFiltering PUBLIC ARM_ALL_FAST_TABLES)  
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_LMS_NORM_Q31)
+target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_init_q31.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFAST OR ARM_LMS_NORM_Q15)
+target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_init_q15.c)
+endif()
+
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_32x64_init_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_32x64_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_fast_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_fast_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_init_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_init_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_init_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df1_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df2T_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df2T_f64.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df2T_init_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_df2T_init_f64.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_stereo_df2T_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_biquad_cascade_stereo_df2T_init_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_fast_opt_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_fast_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_fast_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_opt_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_opt_q7.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_fast_opt_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_fast_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_fast_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_opt_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_opt_q7.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_partial_q7.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_conv_q7.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_correlate_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_correlate_fast_opt_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_correlate_fast_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_correlate_fast_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_correlate_opt_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_correlate_opt_q7.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_correlate_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_correlate_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_correlate_q7.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_fast_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_fast_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_init_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_init_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_init_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_decimate_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_fast_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_fast_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_init_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_init_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_init_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_init_q7.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_init_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_init_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_init_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_interpolate_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_init_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_init_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_init_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_lattice_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_q7.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_init_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_init_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_init_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_init_q7.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_fir_sparse_q7.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_init_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_init_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_init_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_iir_lattice_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_lms_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_lms_init_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_lms_init_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_lms_init_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_init_f32.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_lms_norm_q31.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_lms_q15.c)
+target_sources(CMSISDSPFiltering PRIVATE arm_lms_q31.c)
+
+
+### Includes
+target_include_directories(CMSISDSPFiltering PUBLIC "${DSP}/../../Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/FilteringFunctions.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/FilteringFunctions.c
new file mode 100644
index 0000000..aa2947a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/FilteringFunctions.c
@@ -0,0 +1,127 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        FilteringFunctions.c
+ * Description:  Combination of all filtering function source files.
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_biquad_cascade_df1_32x64_init_q31.c"
+#include "arm_biquad_cascade_df1_32x64_q31.c"
+#include "arm_biquad_cascade_df1_f32.c"
+#include "arm_biquad_cascade_df1_fast_q15.c"
+#include "arm_biquad_cascade_df1_fast_q31.c"
+#include "arm_biquad_cascade_df1_init_f32.c"
+#include "arm_biquad_cascade_df1_init_q15.c"
+#include "arm_biquad_cascade_df1_init_q31.c"
+#include "arm_biquad_cascade_df1_q15.c"
+#include "arm_biquad_cascade_df1_q31.c"
+#include "arm_biquad_cascade_df2T_f32.c"
+#include "arm_biquad_cascade_df2T_f64.c"
+#include "arm_biquad_cascade_df2T_init_f32.c"
+#include "arm_biquad_cascade_df2T_init_f64.c"
+#include "arm_biquad_cascade_stereo_df2T_f32.c"
+#include "arm_biquad_cascade_stereo_df2T_init_f32.c"
+#include "arm_conv_f32.c"
+#include "arm_conv_fast_opt_q15.c"
+#include "arm_conv_fast_q15.c"
+#include "arm_conv_fast_q31.c"
+#include "arm_conv_opt_q15.c"
+#include "arm_conv_opt_q7.c"
+#include "arm_conv_partial_f32.c"
+#include "arm_conv_partial_fast_opt_q15.c"
+#include "arm_conv_partial_fast_q15.c"
+#include "arm_conv_partial_fast_q31.c"
+#include "arm_conv_partial_opt_q15.c"
+#include "arm_conv_partial_opt_q7.c"
+#include "arm_conv_partial_q15.c"
+#include "arm_conv_partial_q31.c"
+#include "arm_conv_partial_q7.c"
+#include "arm_conv_q15.c"
+#include "arm_conv_q31.c"
+#include "arm_conv_q7.c"
+#include "arm_correlate_f32.c"
+#include "arm_correlate_fast_opt_q15.c"
+#include "arm_correlate_fast_q15.c"
+#include "arm_correlate_fast_q31.c"
+#include "arm_correlate_opt_q15.c"
+#include "arm_correlate_opt_q7.c"
+#include "arm_correlate_q15.c"
+#include "arm_correlate_q31.c"
+#include "arm_correlate_q7.c"
+#include "arm_fir_decimate_f32.c"
+#include "arm_fir_decimate_fast_q15.c"
+#include "arm_fir_decimate_fast_q31.c"
+#include "arm_fir_decimate_init_f32.c"
+#include "arm_fir_decimate_init_q15.c"
+#include "arm_fir_decimate_init_q31.c"
+#include "arm_fir_decimate_q15.c"
+#include "arm_fir_decimate_q31.c"
+#include "arm_fir_f32.c"
+#include "arm_fir_fast_q15.c"
+#include "arm_fir_fast_q31.c"
+#include "arm_fir_init_f32.c"
+#include "arm_fir_init_q15.c"
+#include "arm_fir_init_q31.c"
+#include "arm_fir_init_q7.c"
+#include "arm_fir_interpolate_f32.c"
+#include "arm_fir_interpolate_init_f32.c"
+#include "arm_fir_interpolate_init_q15.c"
+#include "arm_fir_interpolate_init_q31.c"
+#include "arm_fir_interpolate_q15.c"
+#include "arm_fir_interpolate_q31.c"
+#include "arm_fir_lattice_f32.c"
+#include "arm_fir_lattice_init_f32.c"
+#include "arm_fir_lattice_init_q15.c"
+#include "arm_fir_lattice_init_q31.c"
+#include "arm_fir_lattice_q15.c"
+#include "arm_fir_lattice_q31.c"
+#include "arm_fir_q15.c"
+#include "arm_fir_q31.c"
+#include "arm_fir_q7.c"
+#include "arm_fir_sparse_f32.c"
+#include "arm_fir_sparse_init_f32.c"
+#include "arm_fir_sparse_init_q15.c"
+#include "arm_fir_sparse_init_q31.c"
+#include "arm_fir_sparse_init_q7.c"
+#include "arm_fir_sparse_q15.c"
+#include "arm_fir_sparse_q31.c"
+#include "arm_fir_sparse_q7.c"
+#include "arm_iir_lattice_f32.c"
+#include "arm_iir_lattice_init_f32.c"
+#include "arm_iir_lattice_init_q15.c"
+#include "arm_iir_lattice_init_q31.c"
+#include "arm_iir_lattice_q15.c"
+#include "arm_iir_lattice_q31.c"
+#include "arm_lms_f32.c"
+#include "arm_lms_init_f32.c"
+#include "arm_lms_init_q15.c"
+#include "arm_lms_init_q31.c"
+#include "arm_lms_norm_f32.c"
+#include "arm_lms_norm_init_f32.c"
+#include "arm_lms_norm_init_q15.c"
+#include "arm_lms_norm_init_q31.c"
+#include "arm_lms_norm_q15.c"
+#include "arm_lms_norm_q31.c"
+#include "arm_lms_q15.c"
+#include "arm_lms_q31.c"
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c
new file mode 100644
index 0000000..80e8f58
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c
@@ -0,0 +1,94 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df1_32x64_init_q31.c
+ * Description:  High precision Q31 Biquad cascade filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup BiquadCascadeDF1_32x64
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q31 Biquad cascade 32x64 filter.
+  @param[in,out] S           points to an instance of the high precision Q31 Biquad cascade filter structure
+  @param[in]     numStages    number of 2nd order stages in the filter
+  @param[in]     pCoeffs      points to the filter coefficients
+  @param[in]     pState       points to the state buffer
+  @param[in]     postShift    Shift to be applied after the accumulator.  Varies according to the coefficients format
+  @return        none
+
+  @par           Coefficient and State Ordering
+                   The coefficients are stored in the array <code>pCoeffs</code> in the following order:
+  <pre>
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+  </pre>
+                   where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
+                   <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
+                   and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.
+  @par
+                   The <code>pState</code> points to state variables array and size of each state variable is 1.63 format.
+                   Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.
+                   The state variables are arranged in the state array as:
+  <pre>
+      {x[n-1], x[n-2], y[n-1], y[n-2]}
+  </pre>
+                   The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+                   The state array has a total length of <code>4*numStages</code> values.
+                   The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cas_df1_32x64_init_q31(
+        arm_biquad_cas_df1_32x64_ins_q31 * S,
+        uint8_t numStages,
+  const q31_t * pCoeffs,
+        q63_t * pState,
+        uint8_t postShift)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign postShift to be applied to the output */
+  S->postShift = postShift;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 4 * numStages */
+  memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q63_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of BiquadCascadeDF1_32x64 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
new file mode 100644
index 0000000..e7e41ed
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
@@ -0,0 +1,458 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df1_32x64_q31.c
+ * Description:  High precision Q31 Biquad cascade filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @defgroup BiquadCascadeDF1_32x64 High Precision Q31 Biquad Cascade Filter
+
+  This function implements a high precision Biquad cascade filter which operates on
+  Q31 data values.  The filter coefficients are in 1.31 format and the state variables
+  are in 1.63 format.  The double precision state variables reduce quantization noise
+  in the filter and provide a cleaner output.
+  These filters are particularly useful when implementing filters in which the
+  singularities are close to the unit circle.  This is common for low pass or high
+  pass filters with very low cutoff frequencies.
+
+  The function operates on blocks of input and output data
+  and each call to the function processes <code>blockSize</code> samples through
+  the filter. <code>pSrc</code> and <code>pDst</code> points to input and output arrays
+  containing <code>blockSize</code> Q31 values.
+
+  @par           Algorithm
+                   Each Biquad stage implements a second order filter using the difference equation:
+  <pre>
+      y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+  </pre>
+                   A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage.
+                   \image html Biquad.gif "Single Biquad filter stage"
+                   Coefficients <code>b0, b1 and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.
+                   Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients.
+                   Pay careful attention to the sign of the feedback coefficients.
+                   Some design tools use the difference equation
+  <pre>
+      y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]
+  </pre>
+                   In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.
+  @par
+                   Higher order filters are realized as a cascade of second order sections.
+                   <code>numStages</code> refers to the number of second order stages used.
+                   For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.
+                   \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"
+                   A 9th order filter would be realized with <code>numStages=5</code> second order stages
+                   with the coefficients for one of the stages configured as a first order filter
+                   (<code>b2=0</code> and <code>a2=0</code>).
+  @par
+                   The <code>pState</code> points to state variables array.
+                   Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code> and each state variable in 1.63 format to improve precision.
+                   The state variables are arranged in the array as:
+  <pre>
+      {x[n-1], x[n-2], y[n-1], y[n-2]}
+  </pre>
+  @par
+                   The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+                   The state array has a total length of <code>4*numStages</code> values of data in 1.63 format.
+                   The state variables are updated after each block of data is processed, the coefficients are untouched.
+
+  @par           Instance Structure
+                   The coefficients and state variables for a filter are stored together in an instance data structure.
+                   A separate instance structure must be defined for each filter.
+                   Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+
+  @par           Init Function
+                   There is also an associated initialization function which performs the following operations:
+                   - Sets the values of the internal structure fields.
+                   - Zeros out the values in the state buffer.
+                   To do this manually without calling the init function, assign the follow subfields of the instance structure:
+                   numStages, pCoeffs, postShift, pState. Also set all of the values in pState to zero.
+
+  @par
+                   Use of the initialization function is optional.
+                   However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+                   To place an instance structure into a const data section, the instance structure must be manually initialized.
+                   Set the values in the state buffer to zeros before static initialization.
+                   For example, to statically initialize the filter instance structure use
+  <pre>
+      arm_biquad_cas_df1_32x64_ins_q31 S1 = {numStages, pState, pCoeffs, postShift};
+  </pre>
+                   where <code>numStages</code> is the number of Biquad stages in the filter;
+                   <code>pState</code> is the address of the state buffer;
+                   <code>pCoeffs</code> is the address of the coefficient buffer;
+                   <code>postShift</code> shift to be applied which is described in detail below.
+  @par           Fixed-Point Behavior
+                   Care must be taken while using Biquad Cascade 32x64 filter function.
+                   Following issues must be considered:
+                   - Scaling of coefficients
+                   - Filter gain
+                   - Overflow and saturation
+
+  @par
+                   Filter coefficients are represented as fractional values and
+                   restricted to lie in the range <code>[-1 +1)</code>.
+                   The processing function has an additional scaling parameter <code>postShift</code>
+                   which allows the filter coefficients to exceed the range <code>[+1 -1)</code>.
+                   At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits.
+                   \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"
+                   This essentially scales the filter coefficients by <code>2^postShift</code>.
+                   For example, to realize the coefficients
+  <pre>
+     {1.5, -0.8, 1.2, 1.6, -0.9}
+  </pre>
+                   set the Coefficient array to:
+  <pre>
+     {0.75, -0.4, 0.6, 0.8, -0.45}
+  </pre>
+                   and set <code>postShift=1</code>
+  @par
+                   The second thing to keep in mind is the gain through the filter.
+                   The frequency response of a Biquad filter is a function of its coefficients.
+                   It is possible for the gain through the filter to exceed 1.0 meaning that the
+                   filter increases the amplitude of certain frequencies.
+                   This means that an input signal with amplitude < 1.0 may result in an output > 1.0
+                   and these are saturated or overflowed based on the implementation of the filter.
+                   To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0
+                   or the input signal must be scaled down so that the combination of input and filter are never overflowed.
+  @par
+                   The third item to consider is the overflow and saturation behavior of the fixed-point Q31 version.
+                   This is described in the function specific documentation below.
+ */
+
+/**
+  @addtogroup BiquadCascadeDF1_32x64
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 Biquad cascade 32x64 filter.
+  @param[in]     S         points to an instance of the high precision Q31 Biquad cascade filter
+  @param[in]     pSrc      points to the block of input data
+  @param[out]    pDst      points to the block of output data
+  @param[in]     blockSize number of samples to process
+  @return        none
+
+  @par           Details
+                   The function is implemented using an internal 64-bit accumulator.
+                   The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   Thus, if the accumulator result overflows it wraps around rather than clip.
+                   In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25).
+                   After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by <code>postShift</code> bits and the result truncated to
+                   1.31 format by discarding the low 32 bits.
+  @par
+                   Two related functions are provided in the CMSIS DSP library.
+                   - \ref arm_biquad_cascade_df1_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q63 accumulator.
+                   - \ref arm_biquad_cascade_df1_fast_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q31 accumulator.
+ */
+
+void arm_biquad_cas_df1_32x64_q31(
+  const arm_biquad_cas_df1_32x64_ins_q31 * S,
+        q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        q31_t *pIn = pSrc;                             /* input pointer initialization */
+        q31_t *pOut = pDst;                            /* output pointer initialization */
+        q63_t *pState = S->pState;                     /* state pointer initialization */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* coeff pointer initialization */
+        q63_t acc;                                     /* accumulator */
+        q31_t Xn1, Xn2;                                /* Input Filter state variables */
+        q63_t Yn1, Yn2;                                /* Output Filter state variables */
+        q31_t b0, b1, b2, a1, a2;                      /* Filter coefficients */
+        q31_t Xn;                                      /* temporary input */
+        int32_t shift = (int32_t) S->postShift + 1;    /* Shift to be applied to the output */
+        uint32_t sample, stage = S->numStages;         /* loop counters */
+        q31_t acc_l, acc_h;                            /* temporary output */
+        uint32_t uShift = ((uint32_t) S->postShift + 1U);
+        uint32_t lShift = 32U - uShift;                /* Shift to be applied to the output */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = (q31_t) (pState[0]);
+    Xn2 = (q31_t) (pState[1]);
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Apply loop unrolling and compute 4 output values simultaneously. */
+    /* Variable acc hold output value that is being computed and stored in destination buffer
+     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     */
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    sample = blockSize >> 2U;
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) Xn * b0;
+
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) Xn1 * b1;
+
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) Xn2 * b2;
+
+      /* acc +=  a1 * y[n-1] */
+      acc += mult32x64(Yn1, a1);
+
+      /* acc +=  a2 * y[n-2] */
+      acc += mult32x64(Yn2, a2);
+
+      /* The result is converted to 1.63 , Yn2 variable is reused */
+      Yn2 = acc << shift;
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer in 1.31 format. */
+      *pOut = acc_h;
+
+      /* Read the second input into Xn2, to reuse the value */
+      Xn2 = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc +=  b1 * x[n-1] */
+      acc = (q63_t) Xn * b1;
+
+      /* acc =  b0 * x[n] */
+      acc += (q63_t) Xn2 * b0;
+
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) Xn1 * b2;
+
+      /* acc +=  a1 * y[n-1] */
+      acc += mult32x64(Yn2, a1);
+
+      /* acc +=  a2 * y[n-2] */
+      acc += mult32x64(Yn1, a2);
+
+      /* The result is converted to 1.63, Yn1 variable is reused */
+      Yn1 = acc << shift;
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Read the third input into Xn1, to reuse the value */
+      Xn1 = *pIn++;
+
+      /* The result is converted to 1.31 */
+      /* Store the output in the destination buffer. */
+      *(pOut + 1U) = acc_h;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) Xn1 * b0;
+
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) Xn2 * b1;
+
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) Xn * b2;
+
+      /* acc +=  a1 * y[n-1] */
+      acc += mult32x64(Yn1, a1);
+
+      /* acc +=  a2 * y[n-2] */
+      acc += mult32x64(Yn2, a2);
+
+      /* The result is converted to 1.63, Yn2 variable is reused  */
+      Yn2 = acc << shift;
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer in 1.31 format. */
+      *(pOut + 2U) = acc_h;
+
+      /* Read the fourth input into Xn, to reuse the value */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) Xn * b0;
+
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) Xn1 * b1;
+
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) Xn2 * b2;
+
+      /* acc +=  a1 * y[n-1] */
+      acc += mult32x64(Yn2, a1);
+
+      /* acc +=  a2 * y[n-2] */
+      acc += mult32x64(Yn1, a2);
+
+      /* The result is converted to 1.63, Yn1 variable is reused  */
+      Yn1 = acc << shift;
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer in 1.31 format. */
+      *(pOut + 3U) = acc_h;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as: */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+
+      /* update output pointer */
+      pOut += 4U;
+
+      /* decrement loop counter */
+      sample--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    sample = blockSize & 0x3U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+
+      /* acc =  b0 * x[n] */
+      acc = (q63_t) Xn * b0;
+      /* acc +=  b1 * x[n-1] */
+      acc += (q63_t) Xn1 * b1;
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q63_t) Xn2 * b2;
+      /* acc +=  a1 * y[n-1] */
+      acc += mult32x64(Yn1, a1);
+      /* acc +=  a2 * y[n-2] */
+      acc += mult32x64(Yn2, a2);
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as: */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+
+      /* The result is converted to 1.63, Yn1 variable is reused  */
+      Yn1 = acc << shift;
+
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store the output in the destination buffer in 1.31 format. */
+      *pOut++ = acc_h;
+      /* Yn1 = acc << shift; */
+
+      /* Store the output in the destination buffer in 1.31 format. */
+/*    *pOut++ = (q31_t) (acc >> (32 - shift));  */
+
+      /* decrement loop counter */
+      sample--;
+    }
+
+    /* The first stage output is given as input to the second stage. */
+    pIn = pDst;
+
+    /* Reset to destination buffer working pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = (q63_t) Xn1;
+    *pState++ = (q63_t) Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while (--stage);
+
+}
+
+/**
+  @} end of BiquadCascadeDF1_32x64 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
new file mode 100644
index 0000000..ea75d3b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
@@ -0,0 +1,495 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df1_f32.c
+ * Description:  Processing function for the floating-point Biquad cascade DirectFormI(DF1) filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @defgroup BiquadCascadeDF1 Biquad Cascade IIR Filters Using Direct Form I Structure
+
+  This set of functions implements arbitrary order recursive (IIR) filters.
+  The filters are implemented as a cascade of second order Biquad sections.
+  The functions support Q15, Q31 and floating-point data types.
+  Fast version of Q15 and Q31 also available.
+
+  The functions operate on blocks of input and output data and each call to the function
+  processes <code>blockSize</code> samples through the filter.
+  <code>pSrc</code> points to the array of input data and
+  <code>pDst</code> points to the array of output data.
+  Both arrays contain <code>blockSize</code> values.
+
+  @par           Algorithm
+                   Each Biquad stage implements a second order filter using the difference equation:
+  <pre>
+      y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+  </pre>
+                  A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage.
+                  \image html Biquad.gif "Single Biquad filter stage"
+                  Coefficients <code>b0, b1 and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.
+                  Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients.
+                  Pay careful attention to the sign of the feedback coefficients.
+                  Some design tools use the difference equation
+  <pre>
+      y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]
+  </pre>
+                  In this case the feedback coefficients <code>a1</code> and <code>a2</code>
+                  must be negated when used with the CMSIS DSP Library.
+
+  @par
+                   Higher order filters are realized as a cascade of second order sections.
+                   <code>numStages</code> refers to the number of second order stages used.
+                   For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.
+                   \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages"
+                   A 9th order filter would be realized with <code>numStages=5</code> second order stages with the coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).
+
+  @par
+                   The <code>pState</code> points to state variables array.
+                   Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.
+                   The state variables are arranged in the <code>pState</code> array as:
+  <pre>
+      {x[n-1], x[n-2], y[n-1], y[n-2]}
+  </pre>
+
+  @par
+                   The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+                   The state array has a total length of <code>4*numStages</code> values.
+                   The state variables are updated after each block of data is processed, the coefficients are untouched.
+
+  @par           Instance Structure
+                   The coefficients and state variables for a filter are stored together in an instance data structure.
+                   A separate instance structure must be defined for each filter.
+                   Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+                   There are separate instance structure declarations for each of the 3 supported data types.
+
+  @par           Init Function
+                   There is also an associated initialization function for each data type.
+                   The initialization function performs following operations:
+                   - Sets the values of the internal structure fields.
+                   - Zeros out the values in the state buffer.
+                   To do this manually without calling the init function, assign the follow subfields of the instance structure:
+                   numStages, pCoeffs, pState. Also set all of the values in pState to zero.
+
+  @par
+                   Use of the initialization function is optional.
+                   However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+                   To place an instance structure into a const data section, the instance structure must be manually initialized.
+                   Set the values in the state buffer to zeros before static initialization.
+                   The code below statically initializes each of the 3 different data type filter instance structures
+  <pre>
+      arm_biquad_casd_df1_inst_f32 S1 = {numStages, pState, pCoeffs};
+      arm_biquad_casd_df1_inst_q15 S2 = {numStages, pState, pCoeffs, postShift};
+      arm_biquad_casd_df1_inst_q31 S3 = {numStages, pState, pCoeffs, postShift};
+  </pre>
+                   where <code>numStages</code> is the number of Biquad stages in the filter;
+                   <code>pState</code> is the address of the state buffer;
+                   <code>pCoeffs</code> is the address of the coefficient buffer;
+                   <code>postShift</code> shift to be applied.
+
+  @par           Fixed-Point Behavior
+                   Care must be taken when using the Q15 and Q31 versions of the Biquad Cascade filter functions.
+                   Following issues must be considered:
+                   - Scaling of coefficients
+                   - Filter gain
+                   - Overflow and saturation
+
+  @par           Scaling of coefficients
+                   Filter coefficients are represented as fractional values and
+                   coefficients are restricted to lie in the range <code>[-1 +1)</code>.
+                   The fixed-point functions have an additional scaling parameter <code>postShift</code>
+                   which allow the filter coefficients to exceed the range <code>[+1 -1)</code>.
+                   At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits.
+                   \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator"
+                   This essentially scales the filter coefficients by <code>2^postShift</code>.
+                   For example, to realize the coefficients
+  <pre>
+     {1.5, -0.8, 1.2, 1.6, -0.9}
+  </pre>
+                   set the pCoeffs array to:
+  <pre>
+     {0.75, -0.4, 0.6, 0.8, -0.45}
+  </pre>
+                   and set <code>postShift=1</code>
+
+  @par           Filter gain
+                   The frequency response of a Biquad filter is a function of its coefficients.
+                   It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies.
+                   This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter.
+                   To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed.
+
+  @par           Overflow and saturation
+                   For Q15 and Q31 versions, it is described separately as part of the function specific documentation below.
+ */
+
+/**
+  @addtogroup BiquadCascadeDF1
+  @{
+ */
+
+/**
+  @brief         Processing function for the floating-point Biquad cascade filter.
+  @param[in]     S         points to an instance of the floating-point Biquad cascade structure
+  @param[in]     pSrc      points to the block of input data
+  @param[out]    pDst      points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+ */
+
+#if defined(ARM_MATH_NEON) 
+void arm_biquad_cascade_df1_f32(
+  const arm_biquad_casd_df1_inst_f32 * S,
+  const float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+
+  const float32_t *pIn = pSrc;                         /*  source pointer            */
+  float32_t *pOut = pDst;                        /*  destination pointer       */
+  float32_t *pState = S->pState;                 /*  pState pointer            */
+  const float32_t *pCoeffs = S->pCoeffs;               /*  coefficient pointer       */
+  float32_t acc;                                 /*  Simulates the accumulator */
+  
+  uint32_t sample, stage = S->numStages;         /*  loop counters             */
+
+  float32x4_t Xn;
+  float32x2_t Yn;
+  float32x2_t a;
+  float32x4_t b;
+  
+  float32x4_t x,tmp;
+  float32x2_t t;
+  float32x2x2_t y;
+
+  float32_t Xns;
+
+  while (stage > 0U)
+  {
+    /* Reading the coefficients */
+    Xn = vld1q_f32(pState);
+    Yn = vld1_f32(pState + 2);
+
+    b = vld1q_f32(pCoeffs);
+    b = vrev64q_f32(b);  
+    b = vcombine_f32(vget_high_f32(b), vget_low_f32(b));
+
+    a = vld1_f32(pCoeffs + 3);
+    a = vrev64_f32(a);
+    b[0] = 0.0;
+    pCoeffs += 5;
+    
+    /* Reading the pState values */
+   
+    /* Apply loop unrolling and compute 4 output values simultaneously. */
+    /*      The variable acc hold output values that are being computed:
+     *
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     */
+
+    /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    sample = blockSize >> 2U;
+
+    while (sample > 0U)
+    {
+      /* Read the first 4 inputs */
+      x = vld1q_f32(pIn);
+
+      pIn += 4;
+
+      tmp = vextq_f32(Xn, x, 1);
+      t = vmul_f32(vget_high_f32(b), vget_high_f32(tmp));
+      t = vmla_f32(t, vget_low_f32(b), vget_low_f32(tmp));
+      t = vmla_f32(t, a, Yn);
+      t = vpadd_f32(t, t);
+      Yn = vext_f32(Yn, t, 1);
+
+      tmp = vextq_f32(Xn, x, 2);
+      t = vmul_f32(vget_high_f32(b), vget_high_f32(tmp));
+      t = vmla_f32(t, vget_low_f32(b), vget_low_f32(tmp));
+      t = vmla_f32(t, a, Yn);
+      t = vpadd_f32(t, t);
+      Yn = vext_f32(Yn, t, 1);
+
+      y.val[0] = Yn;
+
+      tmp = vextq_f32(Xn, x, 3);
+      t = vmul_f32(vget_high_f32(b), vget_high_f32(tmp));
+      t = vmla_f32(t, vget_low_f32(b), vget_low_f32(tmp));
+      t = vmla_f32(t, a, Yn);
+      t = vpadd_f32(t, t);
+      Yn = vext_f32(Yn, t, 1);
+
+      Xn = x;
+      t = vmul_f32(vget_high_f32(b), vget_high_f32(Xn));
+      t = vmla_f32(t, vget_low_f32(b), vget_low_f32(Xn));
+      t = vmla_f32(t, a, Yn);
+      t = vpadd_f32(t, t);
+      Yn = vext_f32(Yn, t, 1);
+      
+      y.val[1] = Yn;
+
+      tmp = vcombine_f32(y.val[0], y.val[1]);
+
+      /* Store the 4 outputs and increment the pointer */
+      vst1q_f32(pOut, tmp);
+      pOut += 4;
+
+      /* Decrement the loop counter */
+      sample--;
+    }
+
+    /* If the block size is not a multiple of 4, compute any remaining output samples here.
+     ** No loop unrolling is used. */
+    sample = blockSize & 0x3U;
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xns = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc =  (b[1] * Xn[2]) + (b[2] * Xn[3]) + (b[3] * Xns) + (a[0] * Yn[0]) + (a[1] * Yn[1]);
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = acc;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:    */
+      /* Xn2 = Xn1   */
+      /* Xn1 = Xn    */
+      /* Yn2 = Yn1   */
+      /* Yn1 = acc   */
+      Xn[2] = Xn[3];
+      Xn[3] = Xns;
+      Yn[0] = Yn[1];
+      Yn[1] = acc;
+
+      /* Decrement the loop counter */
+      sample--;
+
+    }
+
+    vst1q_f32(pState,vcombine_f32(vrev64_f32(vget_high_f32(Xn)),vrev64_f32(Yn)));
+    pState += 4;
+    /*  Store the updated state variables back into the pState array */
+   
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent numStages  occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset the output pointer */
+    pOut = pDst;
+
+    /* Decrement the loop counter */
+    stage--;
+  }
+}
+
+#else
+void arm_biquad_cascade_df1_f32(
+  const arm_biquad_casd_df1_inst_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+  const float32_t *pIn = pSrc;                         /* Source pointer */
+        float32_t *pOut = pDst;                        /* Destination pointer */
+        float32_t *pState = S->pState;                 /* pState pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t acc;                                 /* Accumulator */
+        float32_t b0, b1, b2, a1, a2;                  /* Filter coefficients */
+        float32_t Xn1, Xn2, Yn1, Yn2;                  /* Filter pState variables */
+        float32_t Xn;                                  /* Temporary input */
+        uint32_t sample, stage = S->numStages;         /* Loop counters */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the pState values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Apply loop unrolling and compute 4 output values simultaneously. */
+    /* Variable acc hold output values that are being computed:
+     *
+     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     */
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    sample = blockSize >> 2U;
+
+    while (sample > 0U)
+    {
+      /* Read the first input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      Yn2 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
+
+      /* Store output in destination buffer. */
+      *pOut++ = Yn2;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as: */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+
+      /* Read the second input */
+      Xn2 = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      Yn1 = (b0 * Xn2) + (b1 * Xn) + (b2 * Xn1) + (a1 * Yn2) + (a2 * Yn1);
+
+      /* Store output in destination buffer. */
+      *pOut++ = Yn1;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as: */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+
+      /* Read the third input */
+      Xn1 = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      Yn2 = (b0 * Xn1) + (b1 * Xn2) + (b2 * Xn) + (a1 * Yn1) + (a2 * Yn2);
+
+      /* Store output in destination buffer. */
+      *pOut++ = Yn2;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as: */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+
+      /* Read the forth input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      Yn1 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn2) + (a2 * Yn1);
+
+      /* Store output in destination buffer. */
+      *pOut++ = Yn1;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as: */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+
+      /* decrement loop counter */
+      sample--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    sample = blockSize & 0x3U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2);
+
+      /* Store output in destination buffer. */
+      *pOut++ = acc;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as: */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = acc;
+
+      /* decrement loop counter */
+      sample--;
+    }
+
+    /* Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+    /* The first stage goes from the input buffer to the output buffer. */
+    /* Subsequent numStages occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset output pointer */
+    pOut = pDst;
+
+    /* decrement loop counter */
+    stage--;
+
+  } while (stage > 0U);
+
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+/**
+  @} end of BiquadCascadeDF1 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
new file mode 100644
index 0000000..917e028
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
@@ -0,0 +1,250 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df1_fast_q15.c
+ * Description:  Fast processing function for the Q15 Biquad cascade filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup BiquadCascadeDF1
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q15 Biquad cascade filter (fast variant).
+  @param[in]     S         points to an instance of the Q15 Biquad cascade structure
+  @param[in]     pSrc      points to the block of input data
+  @param[out]    pDst      points to the block of output data
+  @param[in]     blockSize number of samples to process per call
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   This fast version uses a 32-bit accumulator with 2.30 format.
+                   The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   Thus, if the accumulator result overflows it wraps around and distorts the result.
+                   In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25).
+                   The 2.30 accumulator is then shifted by <code>postShift</code> bits and the result truncated to 1.15 format by discarding the low 16 bits.
+ @remark
+                   Refer to \ref arm_biquad_cascade_df1_q15() for a slower implementation of this function
+                   which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure.
+                   Use the function \ref arm_biquad_cascade_df1_init_q15() to initialize the filter structure.
+ */
+
+void arm_biquad_cascade_df1_fast_q15(
+  const arm_biquad_casd_df1_inst_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+  const q15_t *pIn = pSrc;                             /* Source pointer */
+        q15_t *pOut = pDst;                            /* Destination pointer */
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t acc;                                     /* Accumulator */
+        q31_t in;                                      /* Temporary variable to hold input value */
+        q31_t out;                                     /* Temporary variable to hold output value */
+        q31_t b0;                                      /* Temporary variable to hold bo value */
+        q31_t b1, a1;                                  /* Filter coefficients */
+        q31_t state_in, state_out;                     /* Filter state variables */
+        int32_t shift = (int32_t) (15 - S->postShift); /* Post shift */
+        uint32_t sample, stage = S->numStages;         /* Loop counters */
+
+  do
+  {
+    /* Read the b0 and 0 coefficients using SIMD  */
+    b0 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+    /* Read the b1 and b2 coefficients using SIMD */
+    b1 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+    /* Read the a1 and a2 coefficients using SIMD */
+    a1 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+    /* Read the input state values from the state buffer:  x[n-1], x[n-2] */
+    state_in = read_q15x2_ia (&pState);
+
+    /* Read the output state values from the state buffer:  y[n-1], y[n-2] */
+    state_out = read_q15x2_da (&pState);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Apply loop unrolling and compute 2 output values simultaneously. */
+    /* Variable acc hold output values that are being computed:
+     *
+     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     */
+
+    /* Loop unrolling: Compute 2 outputs at a time */
+    sample = blockSize >> 1U;
+
+    while (sample > 0U)
+    {
+
+      /* Read the input */
+      in = read_q15x2_ia ((q15_t **) &pIn);
+
+      /* out =  b0 * x[n] + 0 * 0 */
+      out = __SMUAD(b0, in);
+      /* acc =  b1 * x[n-1] + acc +=  b2 * x[n-2] + out */
+      acc = __SMLAD(b1, state_in, out);
+      /* acc +=  a1 * y[n-1] + acc +=  a2 * y[n-2] */
+      acc = __SMLAD(a1, state_out, acc);
+
+      /* The result is converted from 3.29 to 1.31 and then saturation is applied */
+      out = __SSAT((acc >> shift), 16);
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+      state_in  = __PKHBT(in, state_in, 16);
+      state_out = __PKHBT(out, state_out, 16);
+#else
+      state_in  = __PKHBT(state_in >> 16, (in >> 16), 16);
+      state_out = __PKHBT(state_out >> 16, (out), 16);
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+      /* out =  b0 * x[n] + 0 * 0 */
+      out = __SMUADX(b0, in);
+      /* acc0 =  b1 * x[n-1] , acc0 +=  b2 * x[n-2] + out */
+      acc = __SMLAD(b1, state_in, out);
+      /* acc +=  a1 * y[n-1] + acc +=  a2 * y[n-2] */
+      acc = __SMLAD(a1, state_out, acc);
+
+      /* The result is converted from 3.29 to 1.31 and then saturation is applied */
+      out = __SSAT((acc >> shift), 16);
+
+      /* Store the output in the destination buffer. */
+#ifndef  ARM_MATH_BIG_ENDIAN
+      write_q15x2_ia (&pOut, __PKHBT(state_out, out, 16));
+#else
+      write_q15x2_ia (&pOut, __PKHBT(out, state_out >> 16, 16));
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef  ARM_MATH_BIG_ENDIAN
+      state_in  = __PKHBT(in >> 16, state_in, 16);
+      state_out = __PKHBT(out, state_out, 16);
+#else
+      state_in  = __PKHBT(state_in >> 16, in, 16);
+      state_out = __PKHBT(state_out >> 16, out, 16);
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+      /* Decrement loop counter */
+      sample--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    sample = (blockSize & 0x1U);
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      in = *pIn++;
+
+      /* out =  b0 * x[n] + 0 * 0 */
+#ifndef  ARM_MATH_BIG_ENDIAN
+      out = __SMUAD(b0, in);
+#else
+      out = __SMUADX(b0, in);
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+      /* acc =  b1 * x[n-1], acc +=  b2 * x[n-2] + out */
+      acc = __SMLAD(b1, state_in, out);
+      /* acc +=  a1 * y[n-1] + acc +=  a2 * y[n-2] */
+      acc = __SMLAD(a1, state_out, acc);
+
+      /* The result is converted from 3.29 to 1.31 and then saturation is applied */
+      out = __SSAT((acc >> shift), 16);
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = (q15_t) out;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef  ARM_MATH_BIG_ENDIAN
+      state_in = __PKHBT(in, state_in, 16);
+      state_out = __PKHBT(out, state_out, 16);
+#else
+      state_in = __PKHBT(state_in >> 16, in, 16);
+      state_out = __PKHBT(state_out >> 16, out, 16);
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+      /* decrement loop counter */
+      sample--;
+    }
+
+    /* The first stage goes from the input buffer to the output buffer. */
+    /* Subsequent (numStages - 1) occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset the output pointer */
+    pOut = pDst;
+
+    /* Store the updated state variables back into the state array */
+    write_q15x2_ia(&pState, state_in);
+    write_q15x2_ia(&pState, state_out);
+
+    /* Decrement loop counter */
+    stage--;
+
+  } while (stage > 0U);
+}
+
+/**
+  @} end of BiquadCascadeDF1 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
new file mode 100644
index 0000000..4c30cda
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
@@ -0,0 +1,296 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df1_fast_q31.c
+ * Description:  Processing function for the Q31 Fast Biquad cascade DirectFormI(DF1) filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup BiquadCascadeDF1
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 Biquad cascade filter (fast variant).
+  @param[in]     S         points to an instance of the Q31 Biquad cascade structure
+  @param[in]     pSrc      points to the block of input data
+  @param[out]    pDst      points to the block of output data
+  @param[in]     blockSize number of samples to process per call
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+                   The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+                   These intermediate results are added to a 2.30 accumulator.
+                   Finally, the accumulator is saturated and converted to a 1.31 result.
+                   The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.
+                   In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). Use the intialization function
+                   arm_biquad_cascade_df1_init_q31() to initialize filter structure.
+  @remark
+                   Refer to \ref arm_biquad_cascade_df1_q31() for a slower implementation of this function
+                   which uses 64-bit accumulation to provide higher precision. Both the slow and the fast versions use the same instance structure.
+                   Use the function \ref arm_biquad_cascade_df1_init_q31() to initialize the filter structure.
+ */
+
+void arm_biquad_cascade_df1_fast_q31(
+  const arm_biquad_casd_df1_inst_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+  const q31_t *pIn = pSrc;                             /* Source pointer */
+        q31_t *pOut = pDst;                            /* Destination pointer */
+        q31_t *pState = S->pState;                     /* pState pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t acc = 0;                                 /* Accumulator */
+        q31_t b0, b1, b2, a1, a2;                      /* Filter coefficients */
+        q31_t Xn1, Xn2, Yn1, Yn2;                      /* Filter pState variables */
+        q31_t Xn;                                      /* Temporary input */
+        int32_t shift = (int32_t) S->postShift + 1;    /* Shift to be applied to the output */
+        uint32_t sample, stage = S->numStages;         /* Loop counters */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the pState values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Apply loop unrolling and compute 4 output values simultaneously. */
+    /* Variables acc ... acc3 hold output values that are being computed:
+     *
+     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     */
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    sample = blockSize >> 2U;
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xn = *pIn;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      /* acc = (q31_t) (((q63_t) b1 * Xn1) >> 32);*/
+      mult_32x32_keep32_R(acc, b1, Xn1);
+      /* acc +=  b1 * x[n-1] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b0 * (Xn))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b0, Xn);
+      /* acc +=  b[2] * x[n-2] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b2, Xn2);
+      /* acc +=  a1 * y[n-1] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a1, Yn1);
+      /* acc +=  a2 * y[n-2] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+      /* The result is converted to 1.31 , Yn2 variable is reused */
+      Yn2 = acc << shift;
+
+      /* Read the second input */
+      Xn2 = *(pIn + 1U);
+
+      /* Store the output in the destination buffer. */
+      *pOut = Yn2;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      /* acc = (q31_t) (((q63_t) b0 * (Xn2)) >> 32);*/
+      mult_32x32_keep32_R(acc, b0, Xn2);
+      /* acc +=  b1 * x[n-1] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b1, Xn);
+      /* acc +=  b[2] * x[n-2] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b2, Xn1);
+      /* acc +=  a1 * y[n-1] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a1, Yn2);
+      /* acc +=  a2 * y[n-2] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a2, Yn1);
+
+      /* The result is converted to 1.31, Yn1 variable is reused  */
+      Yn1 = acc << shift;
+
+      /* Read the third input  */
+      Xn1 = *(pIn + 2U);
+
+      /* Store the output in the destination buffer. */
+      *(pOut + 1U) = Yn1;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      /* acc = (q31_t) (((q63_t) b0 * (Xn1)) >> 32);*/
+      mult_32x32_keep32_R(acc, b0, Xn1);
+      /* acc +=  b1 * x[n-1] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b1, Xn2);
+      /* acc +=  b[2] * x[n-2] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b2, Xn);
+      /* acc +=  a1 * y[n-1] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a1, Yn1);
+      /* acc +=  a2 * y[n-2] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+      /* The result is converted to 1.31, Yn2 variable is reused  */
+      Yn2 = acc << shift;
+
+      /* Read the forth input */
+      Xn = *(pIn + 3U);
+
+      /* Store the output in the destination buffer. */
+      *(pOut + 2U) = Yn2;
+      pIn += 4U;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      /* acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/
+      mult_32x32_keep32_R(acc, b0, Xn);
+      /* acc +=  b1 * x[n-1] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b1, Xn1);
+      /* acc +=  b[2] * x[n-2] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b2, Xn2);
+      /* acc +=  a1 * y[n-1] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a1, Yn2);
+      /* acc +=  a2 * y[n-2] */
+      /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a2, Yn1);
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1 */
+      Xn2 = Xn1;
+
+      /* The result is converted to 1.31, Yn1 variable is reused  */
+      Yn1 = acc << shift;
+
+      /* Xn1 = Xn */
+      Xn1 = Xn;
+
+      /* Store the output in the destination buffer. */
+      *(pOut + 3U) = Yn1;
+      pOut += 4U;
+
+      /* decrement loop counter */
+      sample--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    sample = (blockSize & 0x3U);
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      /* acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/
+      mult_32x32_keep32_R(acc, b0, Xn);
+      /* acc +=  b1 * x[n-1] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b1, Xn1);
+      /* acc +=  b[2] * x[n-2] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, b2, Xn2);
+      /* acc +=  a1 * y[n-1] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a1, Yn1);
+      /* acc +=  a2 * y[n-2] */
+      /* acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/
+      multAcc_32x32_keep32_R(acc, a2, Yn2);
+
+      /* The result is converted to 1.31  */
+      acc = acc << shift;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = acc;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = acc;
+
+      /* decrement loop counter */
+      sample--;
+    }
+
+    /* The first stage goes from the input buffer to the output buffer. */
+    /* Subsequent stages occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset to destination pointer */
+    pOut = pDst;
+
+    /* Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while (--stage);
+}
+
+/**
+  @} end of BiquadCascadeDF1 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
new file mode 100644
index 0000000..b183642
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
@@ -0,0 +1,91 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df1_init_f32.c
+ * Description:  Floating-point Biquad cascade DirectFormI(DF1) filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup BiquadCascadeDF1
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point Biquad cascade filter.
+  @param[in,out] S           points to an instance of the floating-point Biquad cascade structure.
+  @param[in]     numStages   number of 2nd order stages in the filter.
+  @param[in]     pCoeffs     points to the filter coefficients.
+  @param[in]     pState      points to the state buffer.
+  @return        none
+
+  @par           Coefficient and State Ordering
+                   The coefficients are stored in the array <code>pCoeffs</code> in the following order:
+  <pre>
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+  </pre>
+
+  @par
+                   where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
+                   <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
+                   and so on. The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.
+  @par
+                   The <code>pState</code> is a pointer to state array.
+                   Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.
+                   The state variables are arranged in the <code>pState</code> array as:
+  <pre>
+      {x[n-1], x[n-2], y[n-1], y[n-2]}
+  </pre>
+                   The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+                   The state array has a total length of <code>4*numStages</code> values.
+                   The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_df1_init_f32(
+        arm_biquad_casd_df1_inst_f32 * S,
+        uint8_t numStages,
+  const float32_t * pCoeffs,
+        float32_t * pState)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 4 * numStages */
+  memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of BiquadCascadeDF1 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
new file mode 100644
index 0000000..a57c5d5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
@@ -0,0 +1,96 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df1_init_q15.c
+ * Description:  Q15 Biquad cascade DirectFormI(DF1) filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup BiquadCascadeDF1
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q15 Biquad cascade filter.
+  @param[in,out] S           points to an instance of the Q15 Biquad cascade structure.
+  @param[in]     numStages   number of 2nd order stages in the filter.
+  @param[in]     pCoeffs     points to the filter coefficients.
+  @param[in]     pState      points to the state buffer.
+  @param[in]     postShift   Shift to be applied to the accumulator result. Varies according to the coefficients format
+  @return        none
+
+  @par           Coefficient and State Ordering
+                   The coefficients are stored in the array <code>pCoeffs</code> in the following order:
+  <pre>
+      {b10, 0, b11, b12, a11, a12, b20, 0, b21, b22, a21, a22, ...}
+  </pre>
+  @par
+                   where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
+                   <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
+                   and so on.  The <code>pCoeffs</code> array contains a total of <code>6*numStages</code> values.
+                   The zero coefficient between <code>b1</code> and <code>b2</code> facilities  use of 16-bit SIMD instructions on the Cortex-M4.
+  @par
+                   The state variables are stored in the array <code>pState</code>.
+                   Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.
+                   The state variables are arranged in the <code>pState</code> array as:
+  <pre>
+      {x[n-1], x[n-2], y[n-1], y[n-2]}
+  </pre>
+                   The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+                   The state array has a total length of <code>4*numStages</code> values.
+                   The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_df1_init_q15(
+        arm_biquad_casd_df1_inst_q15 * S,
+        uint8_t numStages,
+  const q15_t * pCoeffs,
+        q15_t * pState,
+        int8_t postShift)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign postShift to be applied to the output */
+  S->postShift = postShift;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 4 * numStages */
+  memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q15_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of BiquadCascadeDF1 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
new file mode 100644
index 0000000..301181c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
@@ -0,0 +1,95 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df1_init_q31.c
+ * Description:  Q31 Biquad cascade DirectFormI(DF1) filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup BiquadCascadeDF1
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q31 Biquad cascade filter.
+  @param[in,out] S           points to an instance of the Q31 Biquad cascade structure.
+  @param[in]     numStages   number of 2nd order stages in the filter.
+  @param[in]     pCoeffs     points to the filter coefficients.
+  @param[in]     pState      points to the state buffer.
+  @param[in]     postShift   Shift to be applied after the accumulator.  Varies according to the coefficients format
+  @return        none
+
+  @par           Coefficient and State Ordering
+                   The coefficients are stored in the array <code>pCoeffs</code> in the following order:
+  <pre>
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+  </pre>
+  @par
+                   where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
+                   <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
+                   and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.
+  @par
+                   The <code>pState</code> points to state variables array.
+                   Each Biquad stage has 4 state variables <code>x[n-1], x[n-2], y[n-1],</code> and <code>y[n-2]</code>.
+                   The state variables are arranged in the <code>pState</code> array as:
+  <pre>
+      {x[n-1], x[n-2], y[n-1], y[n-2]}
+  </pre>
+                   The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on.
+                   The state array has a total length of <code>4*numStages</code> values.
+                   The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_df1_init_q31(
+        arm_biquad_casd_df1_inst_q31 * S,
+        uint8_t numStages,
+  const q31_t * pCoeffs,
+        q31_t * pState,
+        int8_t postShift)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign postShift to be applied to the output */
+  S->postShift = postShift;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 4 * numStages */
+  memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q31_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of BiquadCascadeDF1 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
new file mode 100644
index 0000000..0d3a2f3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
@@ -0,0 +1,363 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df1_q15.c
+ * Description:  Processing function for the Q15 Biquad cascade DirectFormI(DF1) filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup BiquadCascadeDF1
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q15 Biquad cascade filter.
+  @param[in]     S         points to an instance of the Q15 Biquad cascade structure
+  @param[in]     pSrc      points to the block of input data
+  @param[out]    pDst      points to the location where the output result is written
+  @param[in]     blockSize number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+                   The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+                   There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+                   The accumulator is then shifted by <code>postShift</code> bits to truncate the result to 1.15 format by discarding the low 16 bits.
+                   Finally, the result is saturated to 1.15 format.
+  @remark
+                   Refer to \ref arm_biquad_cascade_df1_fast_q15() for a faster but less precise implementation of this filter.
+ */
+
+void arm_biquad_cascade_df1_q15(
+  const arm_biquad_casd_df1_inst_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+
+
+#if defined (ARM_MATH_DSP)
+
+  const q15_t *pIn = pSrc;                             /* Source pointer */
+        q15_t *pOut = pDst;                            /* Destination pointer */
+        q31_t in;                                      /* Temporary variable to hold input value */
+        q31_t out;                                     /* Temporary variable to hold output value */
+        q31_t b0;                                      /* Temporary variable to hold bo value */
+        q31_t b1, a1;                                  /* Filter coefficients */
+        q31_t state_in, state_out;                     /* Filter state variables */
+        q31_t acc_l, acc_h;
+        q63_t acc;                                     /* Accumulator */
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        int32_t lShift = (15 - (int32_t) S->postShift);       /* Post shift */
+        uint32_t sample, stage = (uint32_t) S->numStages;     /* Stage loop counter */
+        int32_t uShift = (32 - lShift);
+
+  do
+  {
+    /* Read the b0 and 0 coefficients using SIMD  */
+    b0 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+    /* Read the b1 and b2 coefficients using SIMD */
+    b1 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+    /* Read the a1 and a2 coefficients using SIMD */
+    a1 = read_q15x2_ia ((q15_t **) &pCoeffs);
+
+    /* Read the input state values from the state buffer:  x[n-1], x[n-2] */
+    state_in = read_q15x2_ia (&pState);
+
+    /* Read the output state values from the state buffer:  y[n-1], y[n-2] */
+    state_out = read_q15x2_da (&pState);
+
+    /* Apply loop unrolling and compute 2 output values simultaneously. */
+    /*      The variable acc hold output values that are being computed:
+     *
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     */
+    sample = blockSize >> 1U;
+
+    /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.
+     ** a second loop below computes the remaining 1 sample. */
+    while (sample > 0U)
+    {
+
+      /* Read the input */
+      in = read_q15x2_ia ((q15_t **) &pIn);
+
+      /* out =  b0 * x[n] + 0 * 0 */
+      out = __SMUAD(b0, in);
+
+      /* acc +=  b1 * x[n-1] +  b2 * x[n-2] + out */
+      acc = __SMLALD(b1, state_in, out);
+      /* acc +=  a1 * y[n-1] +  a2 * y[n-2] */
+      acc = __SMLALD(a1, state_out, acc);
+
+      /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      out = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      out = __SSAT(out, 16);
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+      state_in  = __PKHBT(in, state_in, 16);
+      state_out = __PKHBT(out, state_out, 16);
+#else
+      state_in  = __PKHBT(state_in >> 16, (in >> 16), 16);
+      state_out = __PKHBT(state_out >> 16, (out), 16);
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+      /* out =  b0 * x[n] + 0 * 0 */
+      out = __SMUADX(b0, in);
+      /* acc +=  b1 * x[n-1] +  b2 * x[n-2] + out */
+      acc = __SMLALD(b1, state_in, out);
+      /* acc +=  a1 * y[n-1] + a2 * y[n-2] */
+      acc = __SMLALD(a1, state_out, acc);
+
+      /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      out = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      out = __SSAT(out, 16);
+
+      /* Store the output in the destination buffer. */
+#ifndef  ARM_MATH_BIG_ENDIAN
+      write_q15x2_ia (&pOut, __PKHBT(state_out, out, 16));
+#else
+      write_q15x2_ia (&pOut, __PKHBT(out, state_out >> 16, 16));
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef  ARM_MATH_BIG_ENDIAN
+      state_in  = __PKHBT(in >> 16, state_in, 16);
+      state_out = __PKHBT(out, state_out, 16);
+#else
+      state_in  = __PKHBT(state_in >> 16, in, 16);
+      state_out = __PKHBT(state_out >> 16, out, 16);
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+      /* Decrement loop counter */
+      sample--;
+    }
+
+    /* If the blockSize is not a multiple of 2, compute any remaining output samples here.
+     ** No loop unrolling is used. */
+
+    if ((blockSize & 0x1U) != 0U)
+    {
+      /* Read the input */
+      in = *pIn++;
+
+      /* out =  b0 * x[n] + 0 * 0 */
+#ifndef  ARM_MATH_BIG_ENDIAN
+      out = __SMUAD(b0, in);
+#else
+      out = __SMUADX(b0, in);
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+      /* acc =  b1 * x[n-1] + b2 * x[n-2] + out */
+      acc = __SMLALD(b1, state_in, out);
+      /* acc +=  a1 * y[n-1] + a2 * y[n-2] */
+      acc = __SMLALD(a1, state_out, acc);
+
+      /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */
+      /* Calc lower part of acc */
+      acc_l = acc & 0xffffffff;
+
+      /* Calc upper part of acc */
+      acc_h = (acc >> 32) & 0xffffffff;
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      out = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      out = __SSAT(out, 16);
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = (q15_t) out;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */
+      /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */
+#ifndef  ARM_MATH_BIG_ENDIAN
+      state_in = __PKHBT(in, state_in, 16);
+      state_out = __PKHBT(out, state_out, 16);
+#else
+      state_in = __PKHBT(state_in >> 16, in, 16);
+      state_out = __PKHBT(state_out >> 16, out, 16);
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+    }
+
+    /* The first stage goes from the input wire to the output wire.  */
+    /* Subsequent numStages occur in-place in the output wire  */
+    pIn = pDst;
+
+    /* Reset the output pointer */
+    pOut = pDst;
+
+    /* Store the updated state variables back into the state array */
+    write_q15x2_ia (&pState, state_in);
+    write_q15x2_ia (&pState, state_out);
+
+    /* Decrement loop counter */
+    stage--;
+
+  } while (stage > 0U);
+
+#else
+
+  const q15_t *pIn = pSrc;                             /* Source pointer */
+        q15_t *pOut = pDst;                            /* Destination pointer */
+        q15_t b0, b1, b2, a1, a2;                      /* Filter coefficients */
+        q15_t Xn1, Xn2, Yn1, Yn2;                      /* Filter state variables */
+        q15_t Xn;                                      /* temporary input */
+        q63_t acc;                                     /* Accumulator */
+        int32_t shift = (15 - (int32_t) S->postShift); /* Post shift */
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        uint32_t sample, stage = (uint32_t) S->numStages;     /* Stage loop counter */
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    pCoeffs++;  // skip the 0 coefficient
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the state values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+    /* The variables acc holds the output value that is computed:
+     *    acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     */
+
+    sample = blockSize;
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      /* acc =  b0 * x[n] */
+      acc = (q31_t) b0 *Xn;
+
+      /* acc +=  b1 * x[n-1] */
+      acc += (q31_t) b1 *Xn1;
+      /* acc +=  b[2] * x[n-2] */
+      acc += (q31_t) b2 *Xn2;
+      /* acc +=  a1 * y[n-1] */
+      acc += (q31_t) a1 *Yn1;
+      /* acc +=  a2 * y[n-2] */
+      acc += (q31_t) a2 *Yn2;
+
+      /* The result is converted to 1.31  */
+      acc = __SSAT((acc >> shift), 16);
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as:  */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = (q15_t) acc;
+
+      /* Store the output in the destination buffer. */
+      *pOut++ = (q15_t) acc;
+
+      /* decrement the loop counter */
+      sample--;
+    }
+
+    /*  The first stage goes from the input buffer to the output buffer. */
+    /*  Subsequent stages occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset to destination pointer */
+    pOut = pDst;
+
+    /*  Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+  } while (--stage);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+  @} end of BiquadCascadeDF1 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
new file mode 100644
index 0000000..5ec3231
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
@@ -0,0 +1,247 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df1_q31.c
+ * Description:  Processing function for the Q31 Biquad cascade filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup BiquadCascadeDF1
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 Biquad cascade filter.
+  @param[in]     S         points to an instance of the Q31 Biquad cascade structure
+  @param[in]     pSrc      points to the block of input data
+  @param[out]    pDst      points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   Thus, if the accumulator result overflows it wraps around rather than clip.
+                   In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25).
+                   After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by <code>postShift</code> bits and the result truncated to
+                   1.31 format by discarding the low 32 bits.
+  @remark
+                   Refer to \ref arm_biquad_cascade_df1_fast_q31() for a faster but less precise implementation of this filter.
+ */
+
+void arm_biquad_cascade_df1_q31(
+  const arm_biquad_casd_df1_inst_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+  const q31_t *pIn = pSrc;                             /* Source pointer */
+        q31_t *pOut = pDst;                            /* Destination pointer */
+        q31_t *pState = S->pState;                     /* pState pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q63_t acc;                                     /* Accumulator */
+        q31_t b0, b1, b2, a1, a2;                      /* Filter coefficients */
+        q31_t Xn1, Xn2, Yn1, Yn2;                      /* Filter pState variables */
+        q31_t Xn;                                      /* Temporary input */
+        uint32_t uShift = ((uint32_t) S->postShift + 1U);
+        uint32_t lShift = 32U - uShift;                /* Shift to be applied to the output */
+        uint32_t sample, stage = S->numStages;         /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t acc_l, acc_h;                            /* temporary output variables */
+#endif
+
+  do
+  {
+    /* Reading the coefficients */
+    b0 = *pCoeffs++;
+    b1 = *pCoeffs++;
+    b2 = *pCoeffs++;
+    a1 = *pCoeffs++;
+    a2 = *pCoeffs++;
+
+    /* Reading the pState values */
+    Xn1 = pState[0];
+    Xn2 = pState[1];
+    Yn1 = pState[2];
+    Yn2 = pState[3];
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Apply loop unrolling and compute 4 output values simultaneously. */
+    /* Variable acc hold output values that are being computed:
+     *
+     * acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+     */
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    sample = blockSize >> 2U;
+
+    while (sample > 0U)
+    {
+      /* Read the first input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc = ((q63_t) b0 * Xn) + ((q63_t) b1 * Xn1) + ((q63_t) b2 * Xn2) + ((q63_t) a1 * Yn1) + ((q63_t) a2 * Yn2);
+
+      /* The result is converted to 1.31 , Yn2 variable is reused */
+      acc_l = (acc      ) & 0xffffffff; /* Calc lower part of acc */
+      acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store output in destination buffer. */
+      *pOut++ = Yn2;
+
+      /* Read the second input */
+      Xn2 = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc = ((q63_t) b0 * Xn2) + ((q63_t) b1 * Xn) + ((q63_t) b2 * Xn1) + ((q63_t) a1 * Yn2) + ((q63_t) a2 * Yn1);
+
+      /* The result is converted to 1.31, Yn1 variable is reused  */
+      acc_l = (acc      ) & 0xffffffff; /* Calc lower part of acc */
+      acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store output in destination buffer. */
+      *pOut++ = Yn1;
+
+      /* Read the third input */
+      Xn1 = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc = ((q63_t) b0 * Xn1) + ((q63_t) b1 * Xn2) + ((q63_t) b2 * Xn) + ((q63_t) a1 * Yn1) + ((q63_t) a2 * Yn2);
+
+      /* The result is converted to 1.31, Yn2 variable is reused  */
+      acc_l = (acc      ) & 0xffffffff; /* Calc lower part of acc */
+      acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store output in destination buffer. */
+      *pOut++ = Yn2;
+
+      /* Read the forth input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc = ((q63_t) b0 * Xn) + ((q63_t) b1 * Xn1) + ((q63_t) b2 * Xn2) + ((q63_t) a1 * Yn2) + ((q63_t) a2 * Yn1);
+
+      /* The result is converted to 1.31, Yn1 variable is reused  */
+      acc_l = (acc      ) & 0xffffffff; /* Calc lower part of acc */
+      acc_h = (acc >> 32) & 0xffffffff; /* Calc upper part of acc */
+
+      /* Apply shift for lower part of acc and upper part of acc */
+      Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+      /* Store output in destination buffer. */
+      *pOut++ = Yn1;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as: */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+
+      /* decrement loop counter */
+      sample--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    sample = blockSize & 0x3U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (sample > 0U)
+    {
+      /* Read the input */
+      Xn = *pIn++;
+
+      /* acc =  b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */
+      acc = ((q63_t) b0 * Xn) + ((q63_t) b1 * Xn1) + ((q63_t) b2 * Xn2) + ((q63_t) a1 * Yn1) + ((q63_t) a2 * Yn2);
+
+      /* The result is converted to 1.31  */
+      acc = acc >> lShift;
+
+      /* Store output in destination buffer. */
+      *pOut++ = (q31_t) acc;
+
+      /* Every time after the output is computed state should be updated. */
+      /* The states should be updated as: */
+      /* Xn2 = Xn1 */
+      /* Xn1 = Xn  */
+      /* Yn2 = Yn1 */
+      /* Yn1 = acc */
+      Xn2 = Xn1;
+      Xn1 = Xn;
+      Yn2 = Yn1;
+      Yn1 = (q31_t) acc;
+
+      /* decrement loop counter */
+      sample--;
+    }
+
+    /* Store the updated state variables back into the pState array */
+    *pState++ = Xn1;
+    *pState++ = Xn2;
+    *pState++ = Yn1;
+    *pState++ = Yn2;
+
+    /* The first stage goes from the input buffer to the output buffer. */
+    /* Subsequent numStages occur in-place in the output buffer */
+    pIn = pDst;
+
+    /* Reset output pointer */
+    pOut = pDst;
+
+    /* decrement loop counter */
+    stage--;
+
+  } while (stage > 0U);
+
+}
+
+/**
+  @} end of BiquadCascadeDF1 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
new file mode 100644
index 0000000..205fcb6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
@@ -0,0 +1,523 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df2T_f32.c
+ * Description:  Processing function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+*/
+
+/**
+  @addtogroup BiquadCascadeDF2T
+  @{
+ */
+
+/**
+  @brief         Processing function for the floating-point transposed direct form II Biquad cascade filter.
+  @param[in]     S         points to an instance of the filter data structure
+  @param[in]     pSrc      points to the block of input data
+  @param[out]    pDst      points to the block of output data
+  @param[in]     blockSize number of samples to process
+  @return        none
+ */
+
+#if defined(ARM_MATH_NEON) 
+
+void arm_biquad_cascade_df2T_f32(
+  const arm_biquad_cascade_df2T_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+   const float32_t *pIn = pSrc;                   /*  source pointer            */
+   float32_t *pOut = pDst;                        /*  destination pointer       */
+   float32_t *pState = S->pState;                 /*  State pointer             */
+   const float32_t *pCoeffs = S->pCoeffs;         /*  coefficient pointer       */
+   float32_t acc1;                                /*  accumulator               */
+   float32_t b0, b1, b2, a1, a2;                  /*  Filter coefficients       */
+   float32_t Xn1;                                 /*  temporary input           */
+   float32_t d1, d2;                              /*  state variables           */
+   uint32_t sample, stageCnt,stage = S->numStages;         /*   loop counters   */
+
+
+   float32_t Xn2, Xn3, Xn4;                       /*  Input State variables     */
+   float32_t acc2, acc3, acc4;                    /*  accumulator               */
+
+
+   float32_t p0, p1, p2, p3, p4, A1;
+
+   float32x4_t XnV, YnV;
+   float32x4x2_t dV;
+   float32x4_t zeroV = vdupq_n_f32(0.0);
+   float32x4_t t1,t2,t3,t4,b1V,b2V,a1V,a2V,s;
+
+   /* Loop unrolling. Compute 4 outputs at a time */
+   stageCnt = stage >> 2;
+
+   while (stageCnt > 0U)
+   {
+      /* Reading the coefficients */
+      t1 = vld1q_f32(pCoeffs);
+      pCoeffs += 4;
+
+      t2 = vld1q_f32(pCoeffs);
+      pCoeffs += 4;
+
+      t3 = vld1q_f32(pCoeffs);
+      pCoeffs += 4;
+
+      t4 = vld1q_f32(pCoeffs);
+      pCoeffs += 4;
+
+      b1V = vld1q_f32(pCoeffs);
+      pCoeffs += 4;
+
+      b2V = vld1q_f32(pCoeffs);
+      pCoeffs += 4;
+
+      a1V = vld1q_f32(pCoeffs);
+      pCoeffs += 4;
+
+      a2V = vld1q_f32(pCoeffs);
+      pCoeffs += 4;
+
+      /* Reading the state values */
+      dV = vld2q_f32(pState);
+
+      sample = blockSize;
+      
+      while (sample > 0U) {
+         /* y[n] = b0 * x[n] + d1 */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         /* d2 = b2 * x[n] + a2 * y[n] */
+
+         XnV = vdupq_n_f32(*pIn++);
+
+         s = dV.val[0];
+         YnV = s;
+
+         s = vextq_f32(zeroV,dV.val[0],3);
+         YnV = vmlaq_f32(YnV, t1, s);
+
+         s = vextq_f32(zeroV,dV.val[0],2);
+         YnV = vmlaq_f32(YnV, t2, s);
+
+         s = vextq_f32(zeroV,dV.val[0],1);
+         YnV = vmlaq_f32(YnV, t3, s);
+
+         YnV = vmlaq_f32(YnV, t4, XnV);
+
+         s = vextq_f32(XnV,YnV,3);
+
+         dV.val[0] = vmlaq_f32(dV.val[1], s, b1V);
+         dV.val[0] = vmlaq_f32(dV.val[0], YnV, a1V);
+
+         dV.val[1] = vmulq_f32(s, b2V);
+         dV.val[1] = vmlaq_f32(dV.val[1], YnV, a2V);
+
+         *pOut++ = YnV[3];
+
+         sample--;
+      }
+     
+      /* Store the updated state variables back into the state array */
+      vst2q_f32(pState,dV);
+      pState += 8;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /*Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement the loop counter */
+      stageCnt--;
+
+   } 
+
+   /* Tail */
+   stageCnt = stage & 3;
+   
+   while (stageCnt > 0U)
+   {
+      /* Reading the coefficients */
+      b0 = *pCoeffs++;
+      b1 = *pCoeffs++;
+      b2 = *pCoeffs++;
+      a1 = *pCoeffs++;
+      a2 = *pCoeffs++;
+
+      /*Reading the state values */
+      d1 = pState[0];
+      d2 = pState[1];
+
+      sample = blockSize;
+
+      while (sample > 0U)
+      {
+         /* Read the input */
+         Xn1 = *pIn++;
+
+         /* y[n] = b0 * x[n] + d1 */
+         acc1 = (b0 * Xn1) + d1;
+
+         /* Store the result in the accumulator in the destination buffer. */
+         *pOut++ = acc1;
+
+         /* Every time after the output is computed state should be updated. */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         d1 = ((b1 * Xn1) + (a1 * acc1)) + d2;
+
+         /* d2 = b2 * x[n] + a2 * y[n] */
+         d2 = (b2 * Xn1) + (a2 * acc1);
+
+         /* decrement the loop counter */
+         sample--;
+      }
+
+      /* Store the updated state variables back into the state array */
+      *pState++ = d1;
+      *pState++ = d2;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /*Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement the loop counter */
+      stageCnt--;
+   }
+}
+#else
+LOW_OPTIMIZATION_ENTER
+void arm_biquad_cascade_df2T_f32(
+  const arm_biquad_cascade_df2T_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+  const float32_t *pIn = pSrc;                         /* Source pointer */
+        float32_t *pOut = pDst;                        /* Destination pointer */
+        float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t acc1;                                /* Accumulator */
+        float32_t b0, b1, b2, a1, a2;                  /* Filter coefficients */
+        float32_t Xn1;                                 /* Temporary input */
+        float32_t d1, d2;                              /* State variables */
+        uint32_t sample, stage = S->numStages;         /* Loop counters */
+
+  do
+  {
+     /* Reading the coefficients */
+     b0 = pCoeffs[0];
+     b1 = pCoeffs[1];
+     b2 = pCoeffs[2];
+     a1 = pCoeffs[3];
+     a2 = pCoeffs[4];
+
+     /* Reading the state values */
+     d1 = pState[0];
+     d2 = pState[1];
+
+     pCoeffs += 5U;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+     /* Loop unrolling: Compute 16 outputs at a time */
+     sample = blockSize >> 4U;
+
+     while (sample > 0U) {
+
+       /* y[n] = b0 * x[n] + d1 */
+       /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+       /* d2 = b2 * x[n] + a2 * y[n] */
+
+/*  1 */
+       Xn1 = *pIn++;
+
+       acc1 = b0 * Xn1 + d1;
+
+       d1 = b1 * Xn1 + d2;
+       d1 += a1 * acc1;
+
+       d2 = b2 * Xn1;
+       d2 += a2 * acc1;
+
+       *pOut++ = acc1;
+
+/*  2 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/*  3 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/*  4 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/*  5 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/*  6 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/*  7 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/*  8 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/*  9 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/* 10 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/* 11 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/* 12 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/* 13 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/* 14 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/* 15 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+/* 16 */
+         Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+        /* decrement loop counter */
+        sample--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      sample = blockSize & 0xFU;
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (sample > 0U) {
+        Xn1 = *pIn++;
+
+        acc1 = b0 * Xn1 + d1;
+
+        d1 = b1 * Xn1 + d2;
+        d1 += a1 * acc1;
+
+        d2 = b2 * Xn1;
+        d2 += a2 * acc1;
+
+        *pOut++ = acc1;
+
+        /* decrement loop counter */
+        sample--;
+      }
+
+      /* Store the updated state variables back into the state array */
+      pState[0] = d1;
+      pState[1] = d2;
+
+      pState += 2U;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /* Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement loop counter */
+      stage--;
+
+   } while (stage > 0U);
+
+}
+LOW_OPTIMIZATION_EXIT
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of BiquadCascadeDF2T group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c
new file mode 100644
index 0000000..3d527a0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c
@@ -0,0 +1,443 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df2T_f64.c
+ * Description:  Processing function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+*/
+
+/**
+  @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure
+
+  This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure.
+  The filters are implemented as a cascade of second order Biquad sections.
+  These functions provide a slight memory savings as compared to the direct form I Biquad filter functions.
+  Only floating-point data is supported.
+
+  This function operate on blocks of input and output data and each call to the function
+  processes <code>blockSize</code> samples through the filter.
+  <code>pSrc</code> points to the array of input data and
+  <code>pDst</code> points to the array of output data.
+  Both arrays contain <code>blockSize</code> values.
+
+  @par           Algorithm
+                   Each Biquad stage implements a second order filter using the difference equation:
+  <pre>
+     y[n] = b0 * x[n] + d1
+     d1 = b1 * x[n] + a1 * y[n] + d2
+     d2 = b2 * x[n] + a2 * y[n]
+  </pre>
+                   where d1 and d2 represent the two state values.
+  @par
+                   A Biquad filter using a transposed Direct Form II structure is shown below.
+                   \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad"
+                   Coefficients <code>b0, b1, and b2 </code> multiply the input signal <code>x[n]</code> and are referred to as the feedforward coefficients.
+                   Coefficients <code>a1</code> and <code>a2</code> multiply the output signal <code>y[n]</code> and are referred to as the feedback coefficients.
+                   Pay careful attention to the sign of the feedback coefficients.
+                   Some design tools flip the sign of the feedback coefficients:
+  <pre>
+     y[n] = b0 * x[n] + d1;
+     d1 = b1 * x[n] - a1 * y[n] + d2;
+     d2 = b2 * x[n] - a2 * y[n];
+  </pre>
+                   In this case the feedback coefficients <code>a1</code> and <code>a2</code> must be negated when used with the CMSIS DSP Library.
+  @par
+                   Higher order filters are realized as a cascade of second order sections.
+                   <code>numStages</code> refers to the number of second order stages used.
+                   For example, an 8th order filter would be realized with <code>numStages=4</code> second order stages.
+                   A 9th order filter would be realized with <code>numStages=5</code> second order stages with the
+                   coefficients for one of the stages configured as a first order filter (<code>b2=0</code> and <code>a2=0</code>).
+  @par
+                   <code>pState</code> points to the state variable array.
+                   Each Biquad stage has 2 state variables <code>d1</code> and <code>d2</code>.
+                   The state variables are arranged in the <code>pState</code> array as:
+  <pre>
+      {d11, d12, d21, d22, ...}
+  </pre>
+                   where <code>d1x</code> refers to the state variables for the first Biquad and
+                   <code>d2x</code> refers to the state variables for the second Biquad.
+                   The state array has a total length of <code>2*numStages</code> values.
+                   The state variables are updated after each block of data is processed; the coefficients are untouched.
+  @par
+                   The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II.
+                   The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types.
+                   That is why the Direct Form I structure supports Q15 and Q31 data types.
+                   The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables <code>d1</code> and <code>d2</code>.
+                   Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad.
+                   The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage.
+
+  @par           Instance Structure
+                   The coefficients and state variables for a filter are stored together in an instance data structure.
+                   A separate instance structure must be defined for each filter.
+                   Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+
+  @par           Init Functions
+                   There is also an associated initialization function.
+                   The initialization function performs following operations:
+                   - Sets the values of the internal structure fields.
+                   - Zeros out the values in the state buffer.
+                   To do this manually without calling the init function, assign the follow subfields of the instance structure:
+                   numStages, pCoeffs, pState. Also set all of the values in pState to zero.
+  @par
+                   Use of the initialization function is optional.
+                   However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+                   To place an instance structure into a const data section, the instance structure must be manually initialized.
+                   Set the values in the state buffer to zeros before static initialization.
+                   For example, to statically initialize the instance structure use
+  <pre>
+      arm_biquad_cascade_df2T_instance_f64 S1 = {numStages, pState, pCoeffs};
+      arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};
+  </pre>
+                   where <code>numStages</code> is the number of Biquad stages in the filter;
+                   <code>pState</code> is the address of the state buffer.
+                   <code>pCoeffs</code> is the address of the coefficient buffer;
+*/
+
+/**
+  @addtogroup BiquadCascadeDF2T
+  @{
+ */
+
+/**
+  @brief         Processing function for the floating-point transposed direct form II Biquad cascade filter.
+  @param[in]     S         points to an instance of the filter data structure
+  @param[in]     pSrc      points to the block of input data
+  @param[out]    pDst      points to the block of output data
+  @param[in]     blockSize number of samples to process
+  @return        none
+ */
+
+LOW_OPTIMIZATION_ENTER
+void arm_biquad_cascade_df2T_f64(
+  const arm_biquad_cascade_df2T_instance_f64 * S,
+        float64_t * pSrc,
+        float64_t * pDst,
+        uint32_t blockSize)
+{
+
+        float64_t *pIn = pSrc;                         /* Source pointer */
+        float64_t *pOut = pDst;                        /* Destination pointer */
+        float64_t *pState = S->pState;                 /* State pointer */
+        float64_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float64_t acc1;                                /* Accumulator */
+        float64_t b0, b1, b2, a1, a2;                  /* Filter coefficients */
+        float64_t Xn1;                                 /* Temporary input */
+        float64_t d1, d2;                              /* State variables */
+        uint32_t sample, stage = S->numStages;         /* Loop counters */
+
+
+   do
+   {
+      /* Reading the coefficients */
+      b0 = pCoeffs[0];
+      b1 = pCoeffs[1];
+      b2 = pCoeffs[2];
+      a1 = pCoeffs[3];
+      a2 = pCoeffs[4];
+
+      /* Reading the state values */
+      d1 = pState[0];
+      d2 = pState[1];
+
+      pCoeffs += 5U;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 16 outputs at a time */
+      sample = blockSize >> 4U;
+
+      while (sample > 0U) {
+
+         /* y[n] = b0 * x[n] + d1 */
+         /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+         /* d2 = b2 * x[n] + a2 * y[n] */
+
+/*  1 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+
+/*  2 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/*  3 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/*  4 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/*  5 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/*  6 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/*  7 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/*  8 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/*  9 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/* 10 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/* 11 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/* 12 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/* 13 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/* 14 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/* 15 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+/* 16 */
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+         /* decrement loop counter */
+         sample--;
+      }
+
+    /* Loop unrolling: Compute remaining outputs */
+      sample = blockSize & 0xFU;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (sample > 0U) {
+         Xn1 = *pIn++;
+
+         acc1 = b0 * Xn1 + d1;
+
+         d1 = b1 * Xn1 + d2;
+         d1 += a1 * acc1;
+
+         d2 = b2 * Xn1;
+         d2 += a2 * acc1;
+
+         *pOut++ = acc1;
+
+         /* decrement loop counter */
+         sample--;
+      }
+
+      /* Store the updated state variables back into the state array */
+      pState[0] = d1;
+      pState[1] = d2;
+
+      pState += 2U;
+
+      /* The current stage input is given as the output to the next stage */
+      pIn = pDst;
+
+      /* Reset the output working pointer */
+      pOut = pDst;
+
+      /* decrement loop counter */
+      stage--;
+
+   } while (stage > 0U);
+
+}
+LOW_OPTIMIZATION_EXIT
+
+/**
+  @} end of BiquadCascadeDF2T group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
new file mode 100644
index 0000000..1da7f3e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
@@ -0,0 +1,211 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df2T_init_f32.c
+ * Description:  Initialization function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup BiquadCascadeDF2T
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+  @param[in,out] S           points to an instance of the filter data structure.
+  @param[in]     numStages   number of 2nd order stages in the filter.
+  @param[in]     pCoeffs     points to the filter coefficients.
+  @param[in]     pState      points to the state buffer.
+  @return        none
+
+  @par           Coefficient and State Ordering
+                   The coefficients are stored in the array <code>pCoeffs</code> in the following order
+                   in the not Neon version.
+  <pre>
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+  </pre>
+                   
+  @par
+                   where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
+                   <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
+                   and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.
+
+                   For Neon version, this array is bigger. If numstages = 4x + y, then the array has size:
+                   32*x + 5*y
+                   and it must be initialized using the function
+                   arm_biquad_cascade_df2T_compute_coefs_f32 which is taking the
+                   standard array coefficient as parameters.
+
+                   But, an array of 8*numstages is a good approximation.
+
+                   Then, the initialization can be done with:
+  <pre>
+                   arm_biquad_cascade_df2T_init_f32(&SNeon, nbCascade, neonCoefs, stateNeon);
+                   arm_biquad_cascade_df2T_compute_coefs_f32(&SNeon,nbCascade,coefs);
+  </pre>
+
+  @par             In this example, neonCoefs is a bigger array of size 8 * numStages.
+                   coefs is the standard array:
+
+  <pre>
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+  </pre>
+
+
+  @par
+                   The <code>pState</code> is a pointer to state array.
+                   Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code>.
+                   The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.
+                   The state array has a total length of <code>2*numStages</code> values.
+                   The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+#if defined(ARM_MATH_NEON) 
+/*
+
+Must be called after initializing the biquad instance.
+pCoeffs has size 5 * nbCascade
+Whereas the pCoeffs for the init has size (4*4 + 4*4)* nbCascade 
+
+So this pCoeffs is the one which would be used for the not Neon version.
+The pCoeffs passed in init is bigger than the one for the not Neon version.
+
+*/
+void arm_biquad_cascade_df2T_compute_coefs_f32(
+  arm_biquad_cascade_df2T_instance_f32 * S,
+  uint8_t numStages,
+  float32_t * pCoeffs)
+{
+   uint8_t cnt;
+   float32_t *pDstCoeffs;
+   float32_t b0[4],b1[4],b2[4],a1[4],a2[4];
+
+   pDstCoeffs = S->pCoeffs;
+
+   cnt = numStages >> 2; 
+   while(cnt > 0)
+   {
+      for(int i=0;i<4;i++)
+      {
+        b0[i] = pCoeffs[0];
+        b1[i] = pCoeffs[1];
+        b2[i] = pCoeffs[2];
+        a1[i] = pCoeffs[3];
+        a2[i] = pCoeffs[4];
+        pCoeffs += 5;
+      }
+
+      /* Vec 1 */
+      *pDstCoeffs++ = 0;
+      *pDstCoeffs++ = b0[1];
+      *pDstCoeffs++ = b0[2];
+      *pDstCoeffs++ = b0[3];
+
+      /* Vec 2 */
+      *pDstCoeffs++ = 0;
+      *pDstCoeffs++ = 0;
+      *pDstCoeffs++ = b0[1] * b0[2];
+      *pDstCoeffs++ = b0[2] * b0[3];
+
+      /* Vec 3 */
+      *pDstCoeffs++ = 0;
+      *pDstCoeffs++ = 0;
+      *pDstCoeffs++ = 0;
+      *pDstCoeffs++ = b0[1] * b0[2] * b0[3];
+      
+      /* Vec 4 */
+      *pDstCoeffs++ = b0[0];
+      *pDstCoeffs++ = b0[0] * b0[1];
+      *pDstCoeffs++ = b0[0] * b0[1] * b0[2];
+      *pDstCoeffs++ = b0[0] * b0[1] * b0[2] * b0[3];
+
+      /* Vec 5 */
+      *pDstCoeffs++ = b1[0];
+      *pDstCoeffs++ = b1[1];
+      *pDstCoeffs++ = b1[2];
+      *pDstCoeffs++ = b1[3];
+
+      /* Vec 6 */
+      *pDstCoeffs++ = b2[0];
+      *pDstCoeffs++ = b2[1];
+      *pDstCoeffs++ = b2[2];
+      *pDstCoeffs++ = b2[3];
+
+      /* Vec 7 */
+      *pDstCoeffs++ = a1[0];
+      *pDstCoeffs++ = a1[1];
+      *pDstCoeffs++ = a1[2];
+      *pDstCoeffs++ = a1[3];
+
+      /* Vec 8 */
+      *pDstCoeffs++ = a2[0];
+      *pDstCoeffs++ = a2[1];
+      *pDstCoeffs++ = a2[2];
+      *pDstCoeffs++ = a2[3];
+
+      cnt--;
+   }
+
+   cnt = numStages & 0x3;
+   while(cnt > 0)
+   {
+      *pDstCoeffs++ = *pCoeffs++;
+      *pDstCoeffs++ = *pCoeffs++;
+      *pDstCoeffs++ = *pCoeffs++;
+      *pDstCoeffs++ = *pCoeffs++;
+      *pDstCoeffs++ = *pCoeffs++;
+      cnt--;
+   }
+
+}
+#endif 
+
+void arm_biquad_cascade_df2T_init_f32(
+        arm_biquad_cascade_df2T_instance_f32 * S,
+        uint8_t numStages,
+  const float32_t * pCoeffs,
+        float32_t * pState)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 2 * numStages */
+  memset(pState, 0, (2U * (uint32_t) numStages) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of BiquadCascadeDF2T group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c
new file mode 100644
index 0000000..6d17878
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c
@@ -0,0 +1,86 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_df2T_init_f64.c
+ * Description:  Initialization function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup BiquadCascadeDF2T
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+  @param[in,out] S           points to an instance of the filter data structure
+  @param[in]     numStages   number of 2nd order stages in the filter
+  @param[in]     pCoeffs     points to the filter coefficients
+  @param[in]     pState      points to the state buffer
+  @return        none
+
+  @par           Coefficient and State Ordering
+                   The coefficients are stored in the array <code>pCoeffs</code> in the following order:
+  <pre>
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+  </pre>
+  @par
+                   where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
+                   <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
+                   and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.
+  @par
+                   The <code>pState</code> is a pointer to state array.
+                   Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code>.
+                   The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.
+                   The state array has a total length of <code>2*numStages</code> values.
+                   The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_df2T_init_f64(
+        arm_biquad_cascade_df2T_instance_f64 * S,
+        uint8_t numStages,
+        float64_t * pCoeffs,
+        float64_t * pState)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 2 * numStages */
+  memset(pState, 0, (2U * (uint32_t) numStages) * sizeof(float64_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of BiquadCascadeDF2T group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c
new file mode 100644
index 0000000..1b97262
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c
@@ -0,0 +1,285 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_stereo_df2T_f32.c
+ * Description:  Processing function for floating-point transposed direct form II Biquad cascade filter. 2 channels
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+*/
+
+/**
+  @addtogroup BiquadCascadeDF2T
+  @{
+ */
+
+/**
+  @brief         Processing function for the floating-point transposed direct form II Biquad cascade filter.
+  @param[in]     S         points to an instance of the filter data structure
+  @param[in]     pSrc      points to the block of input data
+  @param[out]    pDst      points to the block of output data
+  @param[in]     blockSize number of samples to process
+  @return        none
+ */
+
+LOW_OPTIMIZATION_ENTER
+void arm_biquad_cascade_stereo_df2T_f32(
+  const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+  const float32_t *pIn = pSrc;                         /* Source pointer */
+        float32_t *pOut = pDst;                        /* Destination pointer */
+        float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t acc1a, acc1b;                        /* Accumulator */
+        float32_t b0, b1, b2, a1, a2;                  /* Filter coefficients */
+        float32_t Xn1a, Xn1b;                          /* Temporary input */
+        float32_t d1a, d2a, d1b, d2b;                  /* State variables */
+        uint32_t sample, stage = S->numStages;         /* Loop counters */
+
+    do
+    {
+        /* Reading the coefficients */
+        b0 = pCoeffs[0];
+        b1 = pCoeffs[1];
+        b2 = pCoeffs[2];
+        a1 = pCoeffs[3];
+        a2 = pCoeffs[4];
+
+        /* Reading the state values */
+        d1a = pState[0];
+        d2a = pState[1];
+        d1b = pState[2];
+        d2b = pState[3];
+
+        pCoeffs += 5U;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 8 outputs at a time */
+        sample = blockSize >> 3U;
+
+        while (sample > 0U) {
+          /* y[n] = b0 * x[n] + d1 */
+          /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+          /* d2 = b2 * x[n] + a2 * y[n] */
+
+/*  1 */
+          Xn1a = *pIn++; /* Channel a */
+          Xn1b = *pIn++; /* Channel b */
+
+          acc1a = (b0 * Xn1a) + d1a;
+          acc1b = (b0 * Xn1b) + d1b;
+
+          *pOut++ = acc1a;
+          *pOut++ = acc1b;
+
+          d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+          d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+          d2a = (b2 * Xn1a) + (a2 * acc1a);
+          d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/*  2 */
+          Xn1a = *pIn++; /* Channel a */
+          Xn1b = *pIn++; /* Channel b */
+
+          acc1a = (b0 * Xn1a) + d1a;
+          acc1b = (b0 * Xn1b) + d1b;
+
+          *pOut++ = acc1a;
+          *pOut++ = acc1b;
+
+          d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+          d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+          d2a = (b2 * Xn1a) + (a2 * acc1a);
+          d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/*  3 */
+          Xn1a = *pIn++; /* Channel a */
+          Xn1b = *pIn++; /* Channel b */
+
+          acc1a = (b0 * Xn1a) + d1a;
+          acc1b = (b0 * Xn1b) + d1b;
+
+          *pOut++ = acc1a;
+          *pOut++ = acc1b;
+
+          d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+          d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+          d2a = (b2 * Xn1a) + (a2 * acc1a);
+          d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/*  4 */
+          Xn1a = *pIn++; /* Channel a */
+          Xn1b = *pIn++; /* Channel b */
+
+          acc1a = (b0 * Xn1a) + d1a;
+          acc1b = (b0 * Xn1b) + d1b;
+
+          *pOut++ = acc1a;
+          *pOut++ = acc1b;
+
+          d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+          d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+          d2a = (b2 * Xn1a) + (a2 * acc1a);
+          d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/*  5 */
+          Xn1a = *pIn++; /* Channel a */
+          Xn1b = *pIn++; /* Channel b */
+
+          acc1a = (b0 * Xn1a) + d1a;
+          acc1b = (b0 * Xn1b) + d1b;
+
+          *pOut++ = acc1a;
+          *pOut++ = acc1b;
+
+          d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+          d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+          d2a = (b2 * Xn1a) + (a2 * acc1a);
+          d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/*  6 */
+          Xn1a = *pIn++; /* Channel a */
+          Xn1b = *pIn++; /* Channel b */
+
+          acc1a = (b0 * Xn1a) + d1a;
+          acc1b = (b0 * Xn1b) + d1b;
+
+          *pOut++ = acc1a;
+          *pOut++ = acc1b;
+
+          d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+          d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+          d2a = (b2 * Xn1a) + (a2 * acc1a);
+          d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/*  7 */
+          Xn1a = *pIn++; /* Channel a */
+          Xn1b = *pIn++; /* Channel b */
+
+          acc1a = (b0 * Xn1a) + d1a;
+          acc1b = (b0 * Xn1b) + d1b;
+
+          *pOut++ = acc1a;
+          *pOut++ = acc1b;
+
+          d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+          d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+          d2a = (b2 * Xn1a) + (a2 * acc1a);
+          d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+/*  8 */
+          Xn1a = *pIn++; /* Channel a */
+          Xn1b = *pIn++; /* Channel b */
+
+          acc1a = (b0 * Xn1a) + d1a;
+          acc1b = (b0 * Xn1b) + d1b;
+
+          *pOut++ = acc1a;
+          *pOut++ = acc1b;
+
+          d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+          d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+          d2a = (b2 * Xn1a) + (a2 * acc1a);
+          d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+          /* decrement loop counter */
+          sample--;
+        }
+
+        /* Loop unrolling: Compute remaining outputs */
+        sample = blockSize & 0x7U;
+
+#else
+
+        /* Initialize blkCnt with number of samples */
+        sample = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+        while (sample > 0U) {
+          /* Read the input */
+          Xn1a = *pIn++; /* Channel a */
+          Xn1b = *pIn++; /* Channel b */
+
+          /* y[n] = b0 * x[n] + d1 */
+          acc1a = (b0 * Xn1a) + d1a;
+          acc1b = (b0 * Xn1b) + d1b;
+
+          /* Store the result in the accumulator in the destination buffer. */
+          *pOut++ = acc1a;
+          *pOut++ = acc1b;
+
+          /* Every time after the output is computed state should be updated. */
+          /* d1 = b1 * x[n] + a1 * y[n] + d2 */
+          d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a;
+          d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b;
+
+          /* d2 = b2 * x[n] + a2 * y[n] */
+          d2a = (b2 * Xn1a) + (a2 * acc1a);
+          d2b = (b2 * Xn1b) + (a2 * acc1b);
+
+          /* decrement loop counter */
+          sample--;
+        }
+
+        /* Store the updated state variables back into the state array */
+        pState[0] = d1a;
+        pState[1] = d2a;
+
+        pState[2] = d1b;
+        pState[3] = d2b;
+
+        pState += 4U;
+
+        /* The current stage input is given as the output to the next stage */
+        pIn = pDst;
+
+        /* Reset the output working pointer */
+        pOut = pDst;
+
+        /* Decrement the loop counter */
+        stage--;
+
+    } while (stage > 0U);
+
+}
+LOW_OPTIMIZATION_EXIT
+/**
+  @} end of BiquadCascadeDF2T group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c
new file mode 100644
index 0000000..f5f297c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c
@@ -0,0 +1,86 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_biquad_cascade_stereo_df2T_init_f32.c
+ * Description:  Initialization function for floating-point transposed direct form II Biquad cascade filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup BiquadCascadeDF2T
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+  @param[in,out] S           points to an instance of the filter data structure.
+  @param[in]     numStages   number of 2nd order stages in the filter.
+  @param[in]     pCoeffs     points to the filter coefficients.
+  @param[in]     pState      points to the state buffer.
+  @return        none
+
+  @par           Coefficient and State Ordering
+                   The coefficients are stored in the array <code>pCoeffs</code> in the following order:
+  <pre>
+      {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+  </pre>
+  @par
+                   where <code>b1x</code> and <code>a1x</code> are the coefficients for the first stage,
+                   <code>b2x</code> and <code>a2x</code> are the coefficients for the second stage,
+                   and so on.  The <code>pCoeffs</code> array contains a total of <code>5*numStages</code> values.
+  @par
+                   The <code>pState</code> is a pointer to state array.
+                   Each Biquad stage has 2 state variables <code>d1,</code> and <code>d2</code> for each channel.
+                   The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on.
+                   The state array has a total length of <code>2*numStages</code> values.
+                   The state variables are updated after each block of data is processed; the coefficients are untouched.
+ */
+
+void arm_biquad_cascade_stereo_df2T_init_f32(
+        arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+        uint8_t numStages,
+  const float32_t * pCoeffs,
+        float32_t * pState)
+{
+  /* Assign filter stages */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always 4 * numStages */
+  memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of BiquadCascadeDF2T group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c
new file mode 100644
index 0000000..84424ca
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c
@@ -0,0 +1,816 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_f32.c
+ * Description:  Convolution of floating-point sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @defgroup Conv Convolution
+
+  Convolution is a mathematical operation that operates on two finite length vectors to generate a finite length output vector.
+  Convolution is similar to correlation and is frequently used in filtering and data analysis.
+  The CMSIS DSP library contains functions for convolving Q7, Q15, Q31, and floating-point data types.
+  The library also provides fast versions of the Q15 and Q31 functions.
+
+ @par            Algorithm
+                   Let <code>a[n]</code> and <code>b[n]</code> be sequences of length <code>srcALen</code> and
+                   <code>srcBLen</code> samples respectively. Then the convolution
+  <pre>
+     c[n] = a[n] * b[n]
+  </pre>
+  @par
+                   is defined as
+                   \image html ConvolutionEquation.gif
+  @par
+                   Note that <code>c[n]</code> is of length <code>srcALen + srcBLen - 1</code> and is defined over the interval <code>n=0, 1, 2, ..., srcALen + srcBLen - 2</code>.
+                   <code>pSrcA</code> points to the first input vector of length <code>srcALen</code> and
+                   <code>pSrcB</code> points to the second input vector of length <code>srcBLen</code>.
+                   The output result is written to <code>pDst</code> and the calling function must allocate <code>srcALen+srcBLen-1</code> words for the result.
+  @par
+                   Conceptually, when two signals <code>a[n]</code> and <code>b[n]</code> are convolved,
+                   the signal <code>b[n]</code> slides over <code>a[n]</code>.
+                   For each offset \c n, the overlapping portions of a[n] and b[n] are multiplied and summed together.
+  @par
+                   Note that convolution is a commutative operation:
+  <pre>
+     a[n] * b[n] = b[n] * a[n].
+  </pre>
+  @par
+                   This means that switching the A and B arguments to the convolution functions has no effect.
+
+  @par           Fixed-Point Behavior
+                   Convolution requires summing up a large number of intermediate products.
+                   As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation.
+                   Refer to the function specific documentation below for further details of the particular algorithm used.
+
+  @par           Fast Versions
+                   Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of conv and the design requires
+                   the input signals should be scaled down to avoid intermediate overflows.
+
+  @par           Opt Versions
+                   Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation.
+                   These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions
+ */
+
+/**
+  @addtogroup Conv
+  @{
+ */
+
+/**
+  @brief         Convolution of floating-point sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length srcALen+srcBLen-1.
+  @return        none
+ */
+
+void arm_conv_f32(
+  const float32_t * pSrcA,
+        uint32_t srcALen,
+  const float32_t * pSrcB,
+        uint32_t srcBLen,
+        float32_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+  const float32_t *pIn1;                               /* InputA pointer */
+  const float32_t *pIn2;                               /* InputB pointer */
+        float32_t *pOut = pDst;                        /* Output pointer */
+  const float32_t *px;                                 /* Intermediate inputA pointer */
+  const float32_t *py;                                 /* Intermediate inputB pointer */
+  const float32_t *pSrc1, *pSrc2;                      /* Intermediate pointers */
+        float32_t sum;                                 /* Accumulators */
+        uint32_t blockSize1, blockSize2, blockSize3;   /* Loop counters */
+        uint32_t j, k, count, blkCnt;                  /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+        float32_t acc0, acc1, acc2, acc3;              /* Accumulators */
+        float32_t x0, x1, x2, x3, c0;                  /* Temporary variables to hold state and coefficient values */
+#endif
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally
+   * divided into three stages according to the number of multiplications that has to be
+   * taken place between inputA samples and inputB samples. In the first stage of the
+   * algorithm, the multiplications increase by one for every iteration.
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.
+   * In the third stage of the algorithm, the multiplications decrease by one
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1U;
+  blockSize2 = srcALen - (srcBLen - 1U);
+  blockSize3 = blockSize1;
+
+  /* --------------------------
+   * Initializations of stage1
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]
+   * sum = x[0] * y[1] + x[1] * y[0]
+   * ....
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = 1U;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+
+  /* ------------------------
+   * Stage1 process
+   * ----------------------*/
+#if defined(ARM_MATH_NEON)
+    float32x4_t vec1;
+    float32x4_t vec2;
+    float32x4_t res = vdupq_n_f32(0) ;
+    float32x2_t accum = vdup_n_f32(0);
+#endif /* #if defined(ARM_MATH_NEON) */
+
+  /* The first stage starts here */
+  while (blockSize1 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = count >> 2U;
+
+#if defined(ARM_MATH_NEON)
+    res = vdupq_n_f32(0) ;
+    accum = vdup_n_f32(0);
+
+    /* Compute 4 MACs simultaneously. */
+    k = count >> 2U;
+
+    /* First part of the processing.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+
+    while (k > 0U)
+    {
+      vec1 = vld1q_f32(px);
+      vec2 = vld1q_f32(py-3);
+      vec2 = vrev64q_f32(vec2);
+      vec2 = vcombine_f32(vget_high_f32(vec2), vget_low_f32(vec2));
+
+      res = vmlaq_f32(res,vec1, vec2);
+
+      /* Increment pointers */
+      px += 4;
+      py -= 4; 
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res));
+    sum += accum[0] + accum[1];
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.
+     ** No loop unrolling is used. */
+    k = count & 3;
+#else
+    while (k > 0U)
+    {
+      /* x[0] * y[srcBLen - 1] */
+      sum += *px++ * *py--;
+
+      /* x[1] * y[srcBLen - 2] */
+      sum += *px++ * *py--;
+
+      /* x[2] * y[srcBLen - 3] */
+      sum += *px++ * *py--;
+
+      /* x[3] * y[srcBLen - 4] */
+      sum += *px++ * *py--;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = count % 0x4U;
+
+#endif /* #if defined(ARM_MATH_NEON) */
+
+#else
+    /* Initialize k with number of samples */
+    k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum += *px++ * *py--;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = sum;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------
+   * Initializations of stage2
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen]   * y[0]
+   * ....
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1U);
+  py = pSrc2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0U;
+
+  /* -------------------
+   * Stage2 process
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+   * So, to loop unroll over blockSize2,
+   * srcBLen should be greater than or equal to 4 */
+  if (srcBLen >= 4U)
+  {
+   
+#if defined(ARM_MATH_NEON)
+      float32x4_t c;
+      float32x4_t x1v;
+      float32x4_t x2v;
+      uint32x4_t x1v_u;
+      uint32x4_t x2v_u;
+      uint32x4_t x_u;
+      float32x4_t x;
+      float32x4_t res = vdupq_n_f32(0) ;
+#endif /* #if defined(ARM_MATH_NEON) */
+   
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = blockSize2 >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0.0f;
+      acc1 = 0.0f;
+      acc2 = 0.0f;
+      acc3 = 0.0f;
+
+       /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+#if defined(ARM_MATH_NEON)
+      res = vdupq_n_f32(0) ;
+
+      x1v = vld1q_f32(px);
+      x2v = vld1q_f32(px+4);
+
+      do
+      {
+        c = vld1q_f32(py-3);
+
+        px += 4;
+        x = x1v;
+        res = vmlaq_n_f32(res,x,c[3]);
+
+	x = vextq_f32(x1v,x2v,1);
+
+        res = vmlaq_n_f32(res,x,c[2]);
+
+        x = vextq_f32(x1v,x2v,2);
+
+	res = vmlaq_n_f32(res,x,c[1]);
+
+	x = vextq_f32(x1v,x2v,3);
+
+	res = vmlaq_n_f32(res,x,c[0]);
+
+        py -= 4; 
+
+        x1v = x2v ;
+        x2v = vld1q_f32(px+4);
+
+      } while (--k);
+      
+      
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen & 0x3;
+
+      x1v = vld1q_f32(px);
+      px += 4;
+
+      while (k > 0U)
+      {
+        /* Read y[srcBLen - 5] sample */
+        c0 = *(py--);
+
+        res = vmlaq_n_f32(res,x1v,c0);
+
+        /* Reuse the present samples for the next MAC */
+        x1v[0] = x1v[1];
+        x1v[1] = x1v[2];
+        x1v[2] = x1v[3];
+
+        x1v[3] = *(px++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      acc0 = res[0];
+      acc1 = res[1];
+      acc2 = res[2];
+      acc3 = res[3];
+
+#else
+      /* read x[0], x[1], x[2] samples */
+      x0 = *px++;
+      x1 = *px++;
+      x2 = *px++;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read y[srcBLen - 1] sample */
+        c0 = *py--;
+        /* Read x[3] sample */
+        x3 = *(px);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[0] * y[srcBLen - 1] */
+        acc0 += x0 * c0;
+        /* acc1 +=  x[1] * y[srcBLen - 1] */
+        acc1 += x1 * c0;
+        /* acc2 +=  x[2] * y[srcBLen - 1] */
+        acc2 += x2 * c0;
+        /* acc3 +=  x[3] * y[srcBLen - 1] */
+        acc3 += x3 * c0;
+
+        /* Read y[srcBLen - 2] sample */
+        c0 = *py--;
+        /* Read x[4] sample */
+        x0 = *(px + 1U);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[1] * y[srcBLen - 2] */
+        acc0 += x1 * c0;
+        /* acc1 +=  x[2] * y[srcBLen - 2] */
+        acc1 += x2 * c0;
+        /* acc2 +=  x[3] * y[srcBLen - 2] */
+        acc2 += x3 * c0;
+        /* acc3 +=  x[4] * y[srcBLen - 2] */
+        acc3 += x0 * c0;
+
+        /* Read y[srcBLen - 3] sample */
+        c0 = *py--;
+        /* Read x[5] sample */
+        x1 = *(px + 2U);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[2] * y[srcBLen - 3] */
+        acc0 += x2 * c0;
+        /* acc1 +=  x[3] * y[srcBLen - 2] */
+        acc1 += x3 * c0;
+        /* acc2 +=  x[4] * y[srcBLen - 2] */
+        acc2 += x0 * c0;
+        /* acc3 +=  x[5] * y[srcBLen - 2] */
+        acc3 += x1 * c0;
+
+        /* Read y[srcBLen - 4] sample */
+        c0 = *py--;
+        /* Read x[6] sample */
+        x2 = *(px + 3U);
+        px += 4U;
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[3] * y[srcBLen - 4] */
+        acc0 += x3 * c0;
+        /* acc1 +=  x[4] * y[srcBLen - 4] */
+        acc1 += x0 * c0;
+        /* acc2 +=  x[5] * y[srcBLen - 4] */
+        acc2 += x1 * c0;
+        /* acc3 +=  x[6] * y[srcBLen - 4] */
+        acc3 += x2 * c0;
+
+      } while (--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Read y[srcBLen - 5] sample */
+        c0 = *py--;
+        /* Read x[7] sample */
+        x3 = *px++;
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[4] * y[srcBLen - 5] */
+        acc0 += x0 * c0;
+        /* acc1 +=  x[5] * y[srcBLen - 5] */
+        acc1 += x1 * c0;
+        /* acc2 +=  x[6] * y[srcBLen - 5] */
+        acc2 += x2 * c0;
+        /* acc3 +=  x[7] * y[srcBLen - 5] */
+        acc3 += x3 * c0;
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+#endif /* #if defined(ARM_MATH_NEON) */
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = acc0;
+      *pOut++ = acc1;
+      *pOut++ = acc2;
+      *pOut++ = acc3;
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4U;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined (ARM_MATH_NEON)*/
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0.0f;
+
+#if defined(ARM_MATH_NEON) || defined (ARM_MATH_LOOPUNROLL)
+      /* Loop unrolling: Compute 4 outputs at a time */
+      k = srcBLen >> 2U;
+
+#if defined (ARM_MATH_NEON)
+      float32x4_t res = vdupq_n_f32(0) ;
+      float32x4_t x = vdupq_n_f32(0) ;
+      float32x4_t y = vdupq_n_f32(0) ;
+      float32x2_t accum = vdup_n_f32(0) ;
+
+      /* First part of the processing.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while (k > 0U)
+      {
+        x = vld1q_f32(px);
+        y = vld1q_f32(py-3);
+
+        y = vrev64q_f32(y);
+        y = vcombine_f32(vget_high_f32(y), vget_low_f32(y));
+
+        res = vmlaq_f32(res,x,y);
+
+        px += 4 ;
+        py -= 4 ;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res));
+      sum += accum[0] + accum[1]; 
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen & 0x3U;
+
+#else
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *px++ * *py--;
+        sum += *px++ * *py--;
+        sum += *px++ * *py--;
+        sum += *px++ * *py--;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = srcBLen % 0x4U;
+
+#endif /* if defined (ARM_MATH_NEON) */
+#else
+      /* Initialize blkCnt with number of samples */
+      k = srcBLen;
+
+#endif /* #if defined(ARM_MATH_NEON) || defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *px++ * *py--;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0.0f;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *px++ * *py--;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------
+   * Initializations of stage3
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+   * ....
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+   * sum +=  x[srcALen-1] * y[srcBLen-1]
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.
+     The blockSize3 variable holds the number of MAC operations performed */
+
+  /* Working pointer of inputA */
+  pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1U);
+  py = pSrc2;
+
+  /* -------------------
+   * Stage3 process
+   * ------------------*/
+  while (blockSize3 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = blockSize3 >> 2U;
+
+#if defined(ARM_MATH_NEON)
+    float32x4_t res = vdupq_n_f32(0) ;
+    float32x4_t x = vdupq_n_f32(0) ;
+    float32x4_t y = vdupq_n_f32(0) ;
+    float32x2_t accum = vdup_n_f32(0) ;
+
+    while (k > 0U)
+    {
+      x = vld1q_f32(px);
+      y = vld1q_f32(py-3);
+
+      y = vrev64q_f32(y);
+      y = vcombine_f32(vget_high_f32(y), vget_low_f32(y));
+
+      res = vmlaq_f32(res,x,y);
+
+      px += 4 ;
+      py -= 4 ;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res));
+    sum += accum[0] + accum[1]; 
+
+#else
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+      sum += *px++ * *py--;
+
+      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+      sum += *px++ * *py--;
+
+      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+      sum += *px++ * *py--;
+
+      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+      sum += *px++ * *py--;
+
+      /* Decrement loop counter */
+      k--;
+    }
+#endif /* #if defined (ARM_MATH_NEON) */
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = blockSize3 % 0x4U;
+#else
+
+    /* Initialize blkCnt with number of samples */
+    k = blockSize3;
+
+#endif /* #if defined (ARM_MATH_NEON) || defined (ARM_MATH_LOOPUNROLL)*/
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+      sum += *px++ * *py--;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = sum;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+  const float32_t *pIn1 = pSrcA;                       /* InputA pointer */
+  const float32_t *pIn2 = pSrcB;                       /* InputB pointer */
+        float32_t sum;                                 /* Accumulator */
+        uint32_t i, j;                                 /* Loop counters */
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0U; i < (srcALen + srcBLen - 1U); i++)
+  {
+    /* Initialize sum with zero to carry out MAC operations */
+    sum = 0.0f;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if (((i - j) < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ( pIn1[j] * pIn2[i - j]);
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = sum;
+  }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of Conv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c
new file mode 100644
index 0000000..b2144ad
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c
@@ -0,0 +1,366 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_fast_opt_q15.c
+ * Description:  Fast Q15 Convolution
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Conv
+  @{
+ */
+
+/**
+  @brief         Convolution of Q15 sequences (fast version).
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length srcALen+srcBLen-1
+  @param[in]     pScratch1  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2
+  @param[in]     pScratch2  points to scratch buffer of size min(srcALen, srcBLen
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   This fast version uses a 32-bit accumulator with 2.30 format.
+                   The accumulator maintains full precision of the intermediate multiplication results
+                   but provides only a single guard bit. There is no saturation on intermediate additions.
+                   Thus, if the accumulator overflows it wraps around and distorts the result.
+                   The input signals should be scaled down to avoid intermediate overflows.
+                   Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,
+                   as maximum of min(srcALen, srcBLen) number of additions are carried internally.
+                   The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.
+
+  @remark
+                   Refer to \ref arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.
+ */
+
+void arm_conv_fast_opt_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        q15_t * pScratch1,
+        q15_t * pScratch2)
+{
+        q31_t acc0;                                    /* Accumulators */
+  const q15_t *pIn1;                                   /* InputA pointer */
+  const q15_t *pIn2;                                   /* InputB pointer */
+        q15_t *pOut = pDst;                            /* Output pointer */
+        q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
+        q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
+  const q15_t *px;                                     /* Intermediate inputA pointer */
+        q15_t *py;                                     /* Intermediate inputB pointer */
+        uint32_t j, k, blkCnt;                         /* Loop counter */
+        uint32_t tapCnt;                               /* Loop count */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t acc1, acc2, acc3;                        /* Accumulators */
+        q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
+        q31_t y1, y2;                                  /* State variables */
+#endif
+
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* Pointer to take end of scratch2 buffer */
+  pScr2 = pScratch2 + srcBLen - 1;
+
+  /* points to smaller length sequence */
+  px = pIn2;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  k = srcBLen >> 2U;
+
+  /* Copy smaller length input sequence in reverse order into second scratch buffer */
+  while (k > 0U)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr2-- = *px++;
+    *pScr2-- = *px++;
+    *pScr2-- = *px++;
+    *pScr2-- = *px++;
+
+    /* Decrement loop counter */
+    k--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  k = srcBLen % 0x4U;
+
+#else
+
+  /* Initialize k with number of samples */
+  k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (k > 0U)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr2-- = *px++;
+
+    /* Decrement loop counter */
+    k--;
+  }
+
+  /* Initialze temporary scratch pointer */
+  pScr1 = pScratch1;
+
+  /* Assuming scratch1 buffer is aligned by 32-bit */
+  /* Fill (srcBLen - 1U) zeros in scratch1 buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+  /* Update temporary scratch pointer */
+  pScr1 += (srcBLen - 1U);
+
+  /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+  /* Copy (srcALen) samples in scratch buffer */
+  arm_copy_q15(pIn1, pScr1, srcALen);
+
+  /* Update pointers */
+  pScr1 += srcALen;
+
+
+  /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+  /* Update pointer */
+  pScr1 += (srcBLen - 1U);
+
+  /* Temporary pointer for scratch2 */
+  py = pScratch2;
+
+
+  /* Initialization of pIn2 pointer */
+  pIn2 = py;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = (srcALen + srcBLen - 1U) >> 2;
+
+  while (blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Read two samples from scratch1 buffer */
+    x1 = read_q15x2_ia (&pScr1);
+
+    /* Read next two samples from scratch1 buffer */
+    x2 = read_q15x2_ia (&pScr1);
+
+    tapCnt = (srcBLen) >> 2U;
+
+    while (tapCnt > 0U)
+    {
+
+      /* Read four samples from smaller buffer */
+      y1 = read_q15x2_ia ((q15_t **) &pIn2);
+      y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+      /* multiply and accumlate */
+      acc0 = __SMLAD(x1, y1, acc0);
+      acc2 = __SMLAD(x2, y1, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      /* multiply and accumlate */
+      acc1 = __SMLADX(x3, y1, acc1);
+
+      /* Read next two samples from scratch1 buffer */
+      x1 = read_q15x2_ia (&pScr1);
+
+      /* multiply and accumlate */
+      acc0 = __SMLAD(x2, y2, acc0);
+      acc2 = __SMLAD(x1, y2, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+      acc1 = __SMLADX(x3, y2, acc1);
+
+      x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y2, acc3);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Update scratch pointer for remaining samples of smaller length sequence */
+    pScr1 -= 4U;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    tapCnt = (srcBLen) & 3U;
+
+    while (tapCnt > 0U)
+    {
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pIn2);
+      acc1 += (*pScr1++ * *pIn2);
+      acc2 += (*pScr1++ * *pIn2);
+      acc3 += (*pScr1++ * *pIn2++);
+
+      pScr1 -= 3U;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+    write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+    write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+    write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+    write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch1 += 4U;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = (srcALen + srcBLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Calculate convolution for remaining samples of Bigger length sequence */
+  while (blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+
+    tapCnt = (srcBLen) >> 1U;
+
+    while (tapCnt > 0U)
+    {
+
+      /* Read next two samples from scratch1 buffer */
+      acc0 += (*pScr1++ * *pIn2++);
+      acc0 += (*pScr1++ * *pIn2++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    tapCnt = (srcBLen) & 1U;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    while (tapCnt > 0U)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pIn2++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* The result is in 2.30 format.  Convert to 1.15 with saturation.
+       Then store the output in the destination buffer. */
+    *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch1 += 1U;
+  }
+
+}
+
+/**
+  @} end of Conv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c
new file mode 100644
index 0000000..fc3ca73
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c
@@ -0,0 +1,663 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_fast_q15.c
+ * Description:  Fast Q15 Convolution
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Conv
+  @{
+ */
+
+/**
+  @brief         Convolution of Q15 sequences (fast version).
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length srcALen+srcBLen-1
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   This fast version uses a 32-bit accumulator with 2.30 format.
+                   The accumulator maintains full precision of the intermediate multiplication results
+                   but provides only a single guard bit. There is no saturation on intermediate additions.
+                   Thus, if the accumulator overflows it wraps around and distorts the result.
+                   The input signals should be scaled down to avoid intermediate overflows.
+                   Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,
+                   as maximum of min(srcALen, srcBLen) number of additions are carried internally.
+                   The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.
+
+  @remark
+                   Refer to \ref arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.
+ */
+
+void arm_conv_fast_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst)
+{
+  const q15_t *pIn1;                                   /* InputA pointer */
+  const q15_t *pIn2;                                   /* InputB pointer */
+        q15_t *pOut = pDst;                            /* Output pointer */
+        q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators */
+  const q15_t *px;                                     /* Intermediate inputA pointer */
+  const q15_t *py;                                     /* Intermediate inputB pointer */
+  const q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+        q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
+        uint32_t blockSize1, blockSize2, blockSize3;   /* Loop counters */
+        uint32_t j, k, count, blkCnt;                  /* Loop counters */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally
+   * divided into three stages according to the number of multiplications that has to be
+   * taken place between inputA samples and inputB samples. In the first stage of the
+   * algorithm, the multiplications increase by one for every iteration.
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.
+   * In the third stage of the algorithm, the multiplications decrease by one
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1U;
+  blockSize2 = srcALen - (srcBLen - 1U);
+  blockSize3 = blockSize1;
+
+  /* --------------------------
+   * Initializations of stage1
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]
+   * sum = x[0] * y[1] + x[1] * y[0]
+   * ....
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = 1U;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+
+  /* ------------------------
+   * Stage1 process
+   * ----------------------*/
+
+  /* For loop unrolling by 4, this stage is divided into two. */
+  /* First part of this stage computes the MAC operations less than 4 */
+  /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+  /* The first part of the stage starts here */
+  while ((count < 4U) && (blockSize1 > 0U))
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Loop over number of MAC operations between
+     * inputA samples and inputB samples */
+    k = count;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulates */
+      sum = __SMLAD(*px++, *py--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (sum >> 15);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* The second part of the stage starts here */
+  /* The internal loop, over count, is unrolled by 4 */
+  /* To, read the last two inputB samples using SIMD:
+   * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+  py = py - 1;
+
+  while (blockSize1 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2U;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulates */
+      /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+      sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+      /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+      sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* For the next MAC operations, the pointer py is used without SIMD
+     * So, py is incremented by 1 */
+    py = py + 1U;
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.
+     ** No loop unrolling is used. */
+    k = count % 0x4U;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulates */
+      sum = __SMLAD(*px++, *py--, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (sum >> 15);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + (count - 1U);
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------
+   * Initializations of stage2
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+   * ....
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1U);
+  py = pSrc2;
+
+  /* count is the index by which the pointer pIn1 to be incremented */
+  count = 0U;
+
+  /* --------------------
+   * Stage2 process
+   * -------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+   * So, to loop unroll over blockSize2,
+   * srcBLen should be greater than or equal to 4 */
+  if (srcBLen >= 4U)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      py = py - 1U;
+
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1] samples */
+      x0 = read_q15x2 ((q15_t *) px);
+      /* read x[1], x[2] samples */
+      x1 = read_q15x2 ((q15_t *) px + 1);
+	  px += 2U;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read the last two inputB samples using SIMD:
+         * y[srcBLen - 1] and y[srcBLen - 2] */
+        c0 = read_q15x2_da ((q15_t **) &py);
+
+        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+        acc0 = __SMLADX(x0, c0, acc0);
+
+        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+        acc1 = __SMLADX(x1, c0, acc1);
+
+        /* Read x[2], x[3] */
+        x2 = read_q15x2 ((q15_t *) px);
+
+        /* Read x[3], x[4] */
+        x3 = read_q15x2 ((q15_t *) px + 1);
+
+        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+        acc2 = __SMLADX(x2, c0, acc2);
+
+        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+        acc3 = __SMLADX(x3, c0, acc3);
+
+        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+        c0 = read_q15x2_da ((q15_t **) &py);
+
+        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+        acc0 = __SMLADX(x2, c0, acc0);
+
+        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+        acc1 = __SMLADX(x3, c0, acc1);
+
+        /* Read x[4], x[5] */
+        x0 = read_q15x2 ((q15_t *) px + 2);
+
+        /* Read x[5], x[6] */
+        x1 = read_q15x2 ((q15_t *) px + 3);
+		px += 4U;
+
+        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+        acc2 = __SMLADX(x0, c0, acc2);
+
+        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+        acc3 = __SMLADX(x1, c0, acc3);
+
+      } while (--k);
+
+      /* For the next MAC operations, SIMD is not used
+       * So, the 16 bit pointer if inputB, py is updated */
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      if (k == 1U)
+      {
+        /* Read y[srcBLen - 5] */
+        c0 = *(py+1);
+
+#ifdef  ARM_MATH_BIG_ENDIAN
+        c0 = c0 << 16U;
+#else
+        c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef  ARM_MATH_BIG_ENDIAN */
+
+        /* Read x[7] */
+        x3 = read_q15x2 ((q15_t *) px);
+		px++;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD(x0, c0, acc0);
+        acc1 = __SMLAD(x1, c0, acc1);
+        acc2 = __SMLADX(x1, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      if (k == 2U)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+        c0 = read_q15x2 ((q15_t *) py);
+
+        /* Read x[7], x[8] */
+        x3 = read_q15x2 ((q15_t *) px);
+
+        /* Read x[9] */
+        x2 = read_q15x2 ((q15_t *) px + 1);
+		px += 2U;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x0, c0, acc0);
+        acc1 = __SMLADX(x1, c0, acc1);
+        acc2 = __SMLADX(x3, c0, acc2);
+        acc3 = __SMLADX(x2, c0, acc3);
+      }
+
+      if (k == 3U)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+        c0 = read_q15x2 ((q15_t *) py);
+
+        /* Read x[7], x[8] */
+        x3 = read_q15x2 ((q15_t *) px);
+
+        /* Read x[9] */
+        x2 = read_q15x2 ((q15_t *) px + 1);
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x0, c0, acc0);
+        acc1 = __SMLADX(x1, c0, acc1);
+        acc2 = __SMLADX(x3, c0, acc2);
+        acc3 = __SMLADX(x2, c0, acc3);
+
+        /* Read y[srcBLen - 7] */
+		c0 = *(py-1);
+#ifdef  ARM_MATH_BIG_ENDIAN
+        c0 = c0 << 16U;
+#else
+        c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef  ARM_MATH_BIG_ENDIAN */
+
+        /* Read x[10] */
+        x3 =  read_q15x2 ((q15_t *) px + 2);
+		px += 3U;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x1, c0, acc0);
+        acc1 = __SMLAD(x2, c0, acc1);
+        acc2 = __SMLADX(x2, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+      write_q15x2_ia (&pOut, __PKHBT((acc0 >> 15), (acc1 >> 15), 16));
+      write_q15x2_ia (&pOut, __PKHBT((acc2 >> 15), (acc3 >> 15), 16));
+#else
+      write_q15x2_ia (&pOut, __PKHBT((acc1 >> 15), (acc0 >> 15), 16));
+      write_q15x2_ia (&pOut, __PKHBT((acc3 >> 15), (acc2 >> 15), 16));
+#endif /*#ifndef  ARM_MATH_BIG_ENDIAN*/
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4U;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4U;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) *px++ * *py--);
+        sum += ((q31_t) *px++ * *py--);
+        sum += ((q31_t) *px++ * *py--);
+        sum += ((q31_t) *px++ * *py--);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) *px++ * *py--);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q31_t) *px++ * *py--);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Increment MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* --------------------------
+   * Initializations of stage3
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+   * ....
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+   * sum +=  x[srcALen-1] * y[srcBLen-1]
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.
+     The blockSize3 variable holds the number of MAC operations performed */
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1U);
+  pIn2 = pSrc2 - 1U;
+  py = pIn2;
+
+  /* -------------------
+   * Stage3 process
+   * ------------------*/
+
+  /* For loop unrolling by 4, this stage is divided into two. */
+  /* First part of this stage computes the MAC operations greater than 4 */
+  /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+  /* The first part of the stage starts here */
+  j = blockSize3 >> 2U;
+
+  while ((j > 0U) && (blockSize3 > 0U))
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3 >> 2U;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied
+       * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+      sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+      /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied
+       * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+      sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* For the next MAC operations, the pointer py is used without SIMD
+     * So, py is incremented by 1 */
+    py = py + 1U;
+
+    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.
+     ** No loop unrolling is used. */
+    k = blockSize3 % 0x4U;
+
+    while (k > 0U)
+    {
+      /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+      sum = __SMLAD(*px++, *py--, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (sum >> 15);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement  loop counter */
+    blockSize3--;
+
+    j--;
+  }
+
+  /* The second part of the stage starts here */
+  /* SIMD is not used for the next MAC operations,
+   * so pointer py is updated to read only one sample at a time */
+  py = py + 1U;
+
+  while (blockSize3 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulates */
+      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+      sum = __SMLAD(*px++, *py--, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (sum >> 15);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+}
+
+/**
+  @} end of Conv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c
new file mode 100644
index 0000000..c3943f0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c
@@ -0,0 +1,558 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_fast_q31.c
+ * Description:  Fast Q31 Convolution
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Conv
+  @{
+ */
+
+/**
+  @brief         Convolution of Q31 sequences (fast version).
+  @param[in]     pSrcA      points to the first input sequence.
+  @param[in]     srcALen    length of the first input sequence.
+  @param[in]     pSrcB      points to the second input sequence.
+  @param[in]     srcBLen    length of the second input sequence.
+  @param[out]    pDst       points to the location where the output result is written.  Length srcALen+srcBLen-1.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+                   The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+                   These intermediate results are accumulated in a 32-bit register in 2.30 format.
+                   Finally, the accumulator is saturated and converted to a 1.31 result.
+  @par
+                   The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result.
+                   In order to avoid overflows completely the input signals must be scaled down.
+                   Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,
+                   as maximum of min(srcALen, srcBLen) number of additions are carried internally.
+  @remark
+                   Refer to \ref arm_conv_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.
+ */
+
+void arm_conv_fast_q31(
+  const q31_t * pSrcA,
+        uint32_t srcALen,
+  const q31_t * pSrcB,
+        uint32_t srcBLen,
+        q31_t * pDst)
+{
+  const q31_t *pIn1;                                   /* InputA pointer */
+  const q31_t *pIn2;                                   /* InputB pointer */
+        q31_t *pOut = pDst;                            /* Output pointer */
+  const q31_t *px;                                     /* Intermediate inputA pointer */
+  const q31_t *py;                                     /* Intermediate inputB pointer */
+  const q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+        q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators */
+        q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
+        uint32_t blockSize1, blockSize2, blockSize3;   /* Loop counters */
+        uint32_t j, k, count, blkCnt;                  /* Loop counters */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally
+   * divided into three stages according to the number of multiplications that has to be
+   * taken place between inputA samples and inputB samples. In the first stage of the
+   * algorithm, the multiplications increase by one for every iteration.
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.
+   * In the third stage of the algorithm, the multiplications decrease by one
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1U;
+  blockSize2 = srcALen - (srcBLen - 1U);
+  blockSize3 = blockSize1;
+
+  /* --------------------------
+   * Initializations of stage1
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]
+   * sum = x[0] * y[1] + x[1] * y[0]
+   * ....
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = 1U;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+
+  /* ------------------------
+   * Stage1 process
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while (blockSize1 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2U;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* x[0] * y[srcBLen - 1] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py--))) >> 32);
+
+      /* x[1] * y[srcBLen - 2] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py--))) >> 32);
+
+      /* x[2] * y[srcBLen - 3] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py--))) >> 32);
+
+      /* x[3] * y[srcBLen - 4] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py--))) >> 32);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.
+     ** No loop unrolling is used. */
+    k = count % 0x4U;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py--))) >> 32);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = sum << 1;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------
+   * Initializations of stage2
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+   * ....
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1U);
+  py = pSrc2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0U;
+
+  /* -------------------
+   * Stage2 process
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+   * So, to loop unroll over blockSize2,
+   * srcBLen should be greater than or equal to 4 */
+  if (srcBLen >= 4U)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1], x[2] samples */
+      x0 = *px++;
+      x1 = *px++;
+      x2 = *px++;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read y[srcBLen - 1] sample */
+        c0 = *py--;
+        /* Read x[3] sample */
+        x3 = *px++;
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[0] * y[srcBLen - 1] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc1 +=  x[1] * y[srcBLen - 1] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc2 +=  x[2] * y[srcBLen - 1] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc3 +=  x[3] * y[srcBLen - 1] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+
+        /* Read y[srcBLen - 2] sample */
+        c0 = *py--;
+        /* Read x[4] sample */
+        x0 = *px++;
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[1] * y[srcBLen - 2] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc1 +=  x[2] * y[srcBLen - 2] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc2 +=  x[3] * y[srcBLen - 2] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
+        /* acc3 +=  x[4] * y[srcBLen - 2] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+
+        /* Read y[srcBLen - 3] sample */
+        c0 = *py--;
+        /* Read x[5] sample */
+        x1 = *px++;
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[2] * y[srcBLen - 3] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc1 +=  x[3] * y[srcBLen - 3] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
+        /* acc2 +=  x[4] * y[srcBLen - 3] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc3 +=  x[5] * y[srcBLen - 3] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+
+        /* Read y[srcBLen - 4] sample */
+        c0 = *py--;
+        /* Read x[6] sample */
+        x2 = *px++;
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[3] * y[srcBLen - 4] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
+        /* acc1 +=  x[4] * y[srcBLen - 4] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc2 +=  x[5] * y[srcBLen - 4] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc3 +=  x[6] * y[srcBLen - 4] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
+
+
+      } while (--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Read y[srcBLen - 5] sample */
+        c0 = *py--;
+        /* Read x[7] sample */
+        x3 = *px++;
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[srcBLen - 5] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc1 +=  x[5] * y[srcBLen - 5] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc2 +=  x[6] * y[srcBLen - 5] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc3 +=  x[7] * y[srcBLen - 5] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q31_t) (acc0 << 1);
+      *pOut++ = (q31_t) (acc1 << 1);
+      *pOut++ = (q31_t) (acc2 << 1);
+      *pOut++ = (q31_t) (acc3 << 1);
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4U;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4U;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum << 1;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum << 1;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------
+   * Initializations of stage3
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+   * ....
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+   * sum +=  x[srcALen-1] * y[srcBLen-1]
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.
+     The blockSize3 variable holds the number of MAC operations performed */
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1U);
+  py = pSrc2;
+
+  /* -------------------
+   * Stage3 process
+   * ------------------*/
+
+  while (blockSize3 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3 >> 2U;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py--))) >> 32);
+
+      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py--))) >> 32);
+
+      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py--))) >> 32);
+
+      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py--))) >> 32);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.
+     ** No loop unrolling is used. */
+    k = blockSize3 % 0x4U;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py--))) >> 32);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = sum << 1;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement loop counter */
+    blockSize3--;
+  }
+
+}
+
+/**
+  @} end of Conv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c
new file mode 100644
index 0000000..6839103
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c
@@ -0,0 +1,362 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_opt_q15.c
+ * Description:  Convolution of Q15 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Conv
+  @{
+ */
+
+/**
+  @brief         Convolution of Q15 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length srcALen+srcBLen-1.
+  @param[in]     pScratch1  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+  @param[in]     pScratch2  points to scratch buffer of size min(srcALen, srcBLen).
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   Both inputs are in 1.15 format and multiplications yield a 2.30 result.
+                   The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+                   This approach provides 33 guard bits and there is no risk of overflow.
+                   The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+  @remark
+                   Refer to \ref arm_conv_fast_q15() for a faster but less precise version of this function.
+ */
+
+void arm_conv_opt_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        q15_t * pScratch1,
+        q15_t * pScratch2)
+{
+        q63_t acc0;                                    /* Accumulators */
+  const q15_t *pIn1;                                   /* InputA pointer */
+  const q15_t *pIn2;                                   /* InputB pointer */
+        q15_t *pOut = pDst;                            /* Output pointer */
+        q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
+        q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
+  const q15_t *px;                                     /* Intermediate inputA pointer */
+        q15_t *py;                                     /* Intermediate inputB pointer */
+        uint32_t j, k, blkCnt;                         /* Loop counter */
+        uint32_t tapCnt;                               /* Loop count */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q63_t acc1, acc2, acc3;                        /* Accumulators */
+        q31_t x1, x2, x3;                              /* Temporary variables to hold state and coefficient values */
+        q31_t y1, y2;                                  /* State variables */
+#endif
+
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* Pointer to take end of scratch2 buffer */
+  pScr2 = pScratch2 + srcBLen - 1;
+
+  /* points to smaller length sequence */
+  px = pIn2;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  k = srcBLen >> 2U;
+
+  /* Copy smaller length input sequence in reverse order into second scratch buffer */
+  while (k > 0U)
+  {
+    /* copy second buffer in reversal manner */
+    *pScr2-- = *px++;
+    *pScr2-- = *px++;
+    *pScr2-- = *px++;
+    *pScr2-- = *px++;
+
+    /* Decrement loop counter */
+    k--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  k = srcBLen % 0x4U;
+
+#else
+
+  /* Initialize k with number of samples */
+  k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (k > 0U)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    *pScr2-- = *px++;
+
+    /* Decrement loop counter */
+    k--;
+  }
+
+  /* Initialze temporary scratch pointer */
+  pScr1 = pScratch1;
+
+  /* Assuming scratch1 buffer is aligned by 32-bit */
+  /* Fill (srcBLen - 1U) zeros in scratch1 buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+  /* Update temporary scratch pointer */
+  pScr1 += (srcBLen - 1U);
+
+  /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+  /* Copy (srcALen) samples in scratch buffer */
+  arm_copy_q15(pIn1, pScr1, srcALen);
+
+  /* Update pointers */
+  pScr1 += srcALen;
+
+
+  /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+  /* Update pointer */
+  pScr1 += (srcBLen - 1U);
+
+  /* Temporary pointer for scratch2 */
+  py = pScratch2;
+
+
+  /* Initialization of pIn2 pointer */
+  pIn2 = py;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = (srcALen + srcBLen - 1U) >> 2;
+
+  while (blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Read two samples from scratch1 buffer */
+    x1 = read_q15x2_ia (&pScr1);
+
+    /* Read next two samples from scratch1 buffer */
+    x2 = read_q15x2_ia (&pScr1);
+
+    tapCnt = (srcBLen) >> 2U;
+
+    while (tapCnt > 0U)
+    {
+
+      /* Read four samples from smaller buffer */
+      y1 = read_q15x2_ia ((q15_t **) &pIn2);
+      y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+      /* multiply and accumlate */
+      acc0 = __SMLALD(x1, y1, acc0);
+      acc2 = __SMLALD(x2, y1, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      /* multiply and accumlate */
+      acc1 = __SMLALDX(x3, y1, acc1);
+
+      /* Read next two samples from scratch1 buffer */
+      x1 = read_q15x2_ia (&pScr1);
+
+      /* multiply and accumlate */
+      acc0 = __SMLALD(x2, y2, acc0);
+      acc2 = __SMLALD(x1, y2, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLALDX(x3, y1, acc3);
+      acc1 = __SMLALDX(x3, y2, acc1);
+
+      x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLALDX(x3, y2, acc3);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Update scratch pointer for remaining samples of smaller length sequence */
+    pScr1 -= 4U;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    tapCnt = (srcBLen) & 3U;
+
+    while (tapCnt > 0U)
+    {
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pIn2);
+      acc1 += (*pScr1++ * *pIn2);
+      acc2 += (*pScr1++ * *pIn2);
+      acc3 += (*pScr1++ * *pIn2++);
+
+      pScr1 -= 3U;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+    write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+    write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+    write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+    write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch1 += 4U;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = (srcALen + srcBLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Calculate convolution for remaining samples of Bigger length sequence */
+  while (blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+
+    tapCnt = (srcBLen) >> 1U;
+
+    while (tapCnt > 0U)
+    {
+
+      /* Read next two samples from scratch1 buffer */
+      acc0 += (*pScr1++ * *pIn2++);
+      acc0 += (*pScr1++ * *pIn2++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    tapCnt = (srcBLen) & 1U;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    while (tapCnt > 0U)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pIn2++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* The result is in 2.30 format.  Convert to 1.15 with saturation.
+       Then store the output in the destination buffer. */
+    *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch1 += 1U;
+  }
+
+}
+
+/**
+  @} end of Conv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c
new file mode 100644
index 0000000..3ca938e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c
@@ -0,0 +1,360 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_opt_q7.c
+ * Description:  Convolution of Q7 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Conv
+  @{
+ */
+
+/**
+  @brief         Convolution of Q7 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length srcALen+srcBLen-1.
+  @param[in]     pScratch1  points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+  @param[in]     pScratch2  points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 32-bit internal accumulator.
+                   Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.
+                   The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+                   This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)<131072</code>.
+                   The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.
+ */
+
+void arm_conv_opt_q7(
+  const q7_t * pSrcA,
+        uint32_t srcALen,
+  const q7_t * pSrcB,
+        uint32_t srcBLen,
+        q7_t * pDst,
+        q15_t * pScratch1,
+        q15_t * pScratch2)
+{
+        q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch */
+        q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch */
+        q15_t x4;                                      /* Temporary input variable */
+        q15_t *py;                                     /* Temporary input2 pointer */
+        q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
+  const q7_t *pIn1, *pIn2;                             /* InputA and inputB pointer */
+        uint32_t j, k, blkCnt, tapCnt;                 /* Loop counter */
+        q31_t x1, x2, x3, y1;                          /* Temporary input variables */
+  const q7_t *px;                                      /* Temporary input1 pointer */
+        q7_t *pOut = pDst;                             /* Output pointer */
+        q7_t out0, out1, out2, out3;                   /* Temporary variables */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* points to smaller length sequence */
+  px = pIn2 + srcBLen - 1;
+
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = srcBLen >> 2U;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while (k > 0U)
+  {
+    /* copy second buffer in reversal manner */
+    x4 = (q15_t) *px--;
+    *pScr2++ = x4;
+    x4 = (q15_t) *px--;
+    *pScr2++ = x4;
+    x4 = (q15_t) *px--;
+    *pScr2++ = x4;
+    x4 = (q15_t) *px--;
+    *pScr2++ = x4;
+
+    /* Decrement loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.
+   ** No loop unrolling is used. */
+  k = srcBLen % 0x4U;
+
+  while (k > 0U)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    x4 = (q15_t) *px--;
+    *pScr2++ = x4;
+
+    /* Decrement loop counter */
+    k--;
+  }
+
+  /* Fill (srcBLen - 1U) zeros in scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+  /* Update temporary scratch pointer */
+  pScr1 += (srcBLen - 1U);
+
+  /* Copy (srcALen) samples in scratch buffer */
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = srcALen >> 2U;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.
+   ** a second loop below copies for the remaining 1 to 3 samples. */
+  while (k > 0U)
+  {
+    /* copy second buffer in reversal manner */
+    x4 = (q15_t) *pIn1++;
+    *pScr1++ = x4;
+    x4 = (q15_t) *pIn1++;
+    *pScr1++ = x4;
+    x4 = (q15_t) *pIn1++;
+    *pScr1++ = x4;
+    x4 = (q15_t) *pIn1++;
+    *pScr1++ = x4;
+
+    /* Decrement loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.
+   ** No loop unrolling is used. */
+  k = srcALen % 0x4U;
+
+  while (k > 0U)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    x4 = (q15_t) * pIn1++;
+    *pScr1++ = x4;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+  /* Update pointer */
+  pScr1 += (srcBLen - 1U);
+
+  /* Temporary pointer for scratch2 */
+  py = pScratch2;
+
+  /* Initialization of pIn2 pointer */
+  pIn2 = (q7_t *) py;
+
+  pScr2 = py;
+
+  /* Actual convolution process starts here */
+  blkCnt = (srcALen + srcBLen - 1U) >> 2U;
+
+  while (blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Read two samples from scratch1 buffer */
+    x1 = read_q15x2_ia (&pScr1);
+
+    /* Read next two samples from scratch1 buffer */
+    x2 = read_q15x2_ia (&pScr1);
+
+    tapCnt = (srcBLen) >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read four samples from smaller buffer */
+      y1 = read_q15x2_ia (&pScr2);
+
+      /* multiply and accumlate */
+      acc0 = __SMLAD(x1, y1, acc0);
+      acc2 = __SMLAD(x2, y1, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      /* multiply and accumlate */
+      acc1 = __SMLADX(x3, y1, acc1);
+
+      /* Read next two samples from scratch1 buffer */
+      x1 = read_q15x2_ia (&pScr1);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+
+      /* Read four samples from smaller buffer */
+      y1 = read_q15x2_ia (&pScr2);
+
+      acc0 = __SMLAD(x2, y1, acc0);
+
+      acc2 = __SMLAD(x1, y1, acc2);
+
+      acc1 = __SMLADX(x3, y1, acc1);
+
+      x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Update scratch pointer for remaining samples of smaller length sequence */
+    pScr1 -= 4U;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    tapCnt = (srcBLen) & 3U;
+
+    while (tapCnt > 0U)
+    {
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pScr2);
+      acc1 += (*pScr1++ * *pScr2);
+      acc2 += (*pScr1++ * *pScr2);
+      acc3 += (*pScr1++ * *pScr2++);
+
+      pScr1 -= 3U;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the result in the accumulator in the destination buffer. */
+    out0 = (q7_t) (__SSAT(acc0 >> 7U, 8));
+    out1 = (q7_t) (__SSAT(acc1 >> 7U, 8));
+    out2 = (q7_t) (__SSAT(acc2 >> 7U, 8));
+    out3 = (q7_t) (__SSAT(acc3 >> 7U, 8));
+
+    write_q7x4_ia (&pOut, __PACKq7(out0, out1, out2, out3));
+
+    /* Initialization of inputB pointer */
+    pScr2 = py;
+
+    pScratch1 += 4U;
+  }
+
+  blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+  /* Calculate convolution for remaining samples of Bigger length sequence */
+  while (blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+
+    tapCnt = (srcBLen) >> 1U;
+
+    while (tapCnt > 0U)
+    {
+      acc0 += (*pScr1++ * *pScr2++);
+      acc0 += (*pScr1++ * *pScr2++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    tapCnt = (srcBLen) & 1U;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    while (tapCnt > 0U)
+    {
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pScr2++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8));
+
+    /* Initialization of inputB pointer */
+    pScr2 = py;
+
+    pScratch1 += 1U;
+  }
+
+}
+
+/**
+  @} end of Conv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c
new file mode 100644
index 0000000..53bc9a3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c
@@ -0,0 +1,676 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_partial_f32.c
+ * Description:  Partial convolution of floating-point sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @defgroup PartialConv Partial Convolution
+
+  Partial Convolution is equivalent to Convolution except that a subset of the output samples is generated.
+  Each function has two additional arguments.
+  <code>firstIndex</code> specifies the starting index of the subset of output samples.
+  <code>numPoints</code> is the number of output samples to compute.
+  The function computes the output in the range
+  <code>[firstIndex, ..., firstIndex+numPoints-1]</code>.
+  The output array <code>pDst</code> contains <code>numPoints</code> values.
+
+  The allowable range of output indices is [0 srcALen+srcBLen-2].
+  If the requested subset does not fall in this range then the functions return ARM_MATH_ARGUMENT_ERROR.
+  Otherwise the functions return ARM_MATH_SUCCESS.
+  \note Refer to \ref arm_conv_f32() for details on fixed point behavior.
+
+  @par           Fast Versions
+                   Fast versions are supported for Q31 and Q15 of partial convolution.
+                   Cycles for Fast versions are less compared to Q31 and Q15 of partial conv and the design requires
+                   the input signals should be scaled down to avoid intermediate overflows.
+
+  @par           Opt Versions
+                   Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation.
+                   These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions of partial convolution
+ */
+
+/**
+  @addtogroup PartialConv
+  @{
+ */
+
+/**
+  @brief         Partial convolution of floating-point sequences.
+  @param[in]     pSrcA       points to the first input sequence
+  @param[in]     srcALen     length of the first input sequence
+  @param[in]     pSrcB       points to the second input sequence
+  @param[in]     srcBLen     length of the second input sequence
+  @param[out]    pDst        points to the location where the output result is written
+  @param[in]     firstIndex  is the first output sample to start with
+  @param[in]     numPoints   is the number of output points to be computed
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+ */
+
+arm_status arm_conv_partial_f32(
+  const float32_t * pSrcA,
+        uint32_t srcALen,
+  const float32_t * pSrcB,
+        uint32_t srcBLen,
+        float32_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+  const float32_t *pIn1 = pSrcA;                       /* InputA pointer */
+  const float32_t *pIn2 = pSrcB;                       /* InputB pointer */
+        float32_t *pOut = pDst;                        /* Output pointer */
+  const float32_t *px;                                 /* Intermediate inputA pointer */
+  const float32_t *py;                                 /* Intermediate inputB pointer */
+  const float32_t *pSrc1, *pSrc2;                      /* Intermediate pointers */
+        float32_t sum;                                 /* Accumulator */
+        uint32_t j, k, count, blkCnt, check;
+        int32_t blockSize1, blockSize2, blockSize3;    /* Loop counters */
+        arm_status status;                             /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        float32_t acc0, acc1, acc2, acc3;              /* Accumulator */
+        float32_t x0, x1, x2, x3, c0;                  /* Temporary variables */
+#endif
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if (srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t) numPoints) : 0;
+    blockSize2 = ((int32_t) check - blockSize3) - (blockSize1 + (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally
+     * divided into three stages according to the number of multiplications that has to be
+     * taken place between inputA samples and inputB samples. In the first stage of the
+     * algorithm, the multiplications increase by one for every iteration.
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.
+     * In the third stage of the algorithm, the multiplications decrease by one
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------
+     * Initializations of stage1
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]
+     * sum = x[0] * y[1] + x[1] * y[0]
+     * ....
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.
+       The count variable holds the number of MAC operations performed.
+       Since the partial convolution starts from firstIndex
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1U + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc1 = pIn2 + firstIndex;
+    py = pSrc1;
+
+    /* ------------------------
+     * Stage1 process
+     * ----------------------*/
+
+    /* The first stage starts here */
+    while (blockSize1 > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      k = count >> 2U;
+
+      while (k > 0U)
+      {
+        /* x[0] * y[srcBLen - 1] */
+        sum += *px++ * *py--;
+
+        /* x[1] * y[srcBLen - 2] */
+        sum += *px++ * *py--;
+
+        /* x[2] * y[srcBLen - 3] */
+        sum += *px++ * *py--;
+
+        /* x[3] * y[srcBLen - 4] */
+        sum += *px++ * *py--;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = count % 0x4U;
+
+#else
+
+      /* Initialize k with number of samples */
+      k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *px++ * *py--;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc1;
+      px = pIn1;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Decrement loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------
+     * Initializations of stage2
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+     * ....
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+     */
+
+    /* Working pointer of inputA */
+    if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      pSrc1 = pIn1;
+    }
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1U);
+    py = pSrc2;
+
+    /* count is index by which the pointer pIn1 to be incremented */
+    count = 0U;
+
+    /* -------------------
+     * Stage2 process
+     * ------------------*/
+
+    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+     * So, to loop unroll over blockSize2,
+     * srcBLen should be greater than or equal to 4 */
+    if (srcBLen >= 4U)
+    {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+      while (blkCnt > 0U)
+      {
+        /* Set all accumulators to zero */
+        acc0 = 0.0f;
+        acc1 = 0.0f;
+        acc2 = 0.0f;
+        acc3 = 0.0f;
+
+        /* read x[0], x[1], x[2] samples */
+        x0 = *px++;
+        x1 = *px++;
+        x2 = *px++;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2U;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        do
+        {
+          /* Read y[srcBLen - 1] sample */
+          c0 = *py--;
+          /* Read x[3] sample */
+          x3 = *px++;
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[0] * y[srcBLen - 1] */
+          acc0 += x0 * c0;
+          /* acc1 +=  x[1] * y[srcBLen - 1] */
+          acc1 += x1 * c0;
+          /* acc2 +=  x[2] * y[srcBLen - 1] */
+          acc2 += x2 * c0;
+          /* acc3 +=  x[3] * y[srcBLen - 1] */
+          acc3 += x3 * c0;
+
+          /* Read y[srcBLen - 2] sample */
+          c0 = *py--;
+          /* Read x[4] sample */
+          x0 = *px++;
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[1] * y[srcBLen - 2] */
+          acc0 += x1 * c0;
+          /* acc1 +=  x[2] * y[srcBLen - 2] */
+          acc1 += x2 * c0;
+          /* acc2 +=  x[3] * y[srcBLen - 2] */
+          acc2 += x3 * c0;
+          /* acc3 +=  x[4] * y[srcBLen - 2] */
+          acc3 += x0 * c0;
+
+          /* Read y[srcBLen - 3] sample */
+          c0 = *py--;
+          /* Read x[5] sample */
+          x1 = *px++;
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[2] * y[srcBLen - 3] */
+          acc0 += x2 * c0;
+          /* acc1 +=  x[3] * y[srcBLen - 2] */
+          acc1 += x3 * c0;
+          /* acc2 +=  x[4] * y[srcBLen - 2] */
+          acc2 += x0 * c0;
+          /* acc3 +=  x[5] * y[srcBLen - 2] */
+          acc3 += x1 * c0;
+
+          /* Read y[srcBLen - 4] sample */
+          c0 = *py--;
+          /* Read x[6] sample */
+          x2 = *px++;
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[3] * y[srcBLen - 4] */
+          acc0 += x3 * c0;
+          /* acc1 +=  x[4] * y[srcBLen - 4] */
+          acc1 += x0 * c0;
+          /* acc2 +=  x[5] * y[srcBLen - 4] */
+          acc2 += x1 * c0;
+          /* acc3 +=  x[6] * y[srcBLen - 4] */
+          acc3 += x2 * c0;
+
+        } while (--k);
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4U;
+
+        while (k > 0U)
+        {
+          /* Read y[srcBLen - 5] sample */
+          c0 = *py--;
+          /* Read x[7] sample */
+          x3 = *px++;
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[4] * y[srcBLen - 5] */
+          acc0 += x0 * c0;
+          /* acc1 +=  x[5] * y[srcBLen - 5] */
+          acc1 += x1 * c0;
+          /* acc2 +=  x[6] * y[srcBLen - 5] */
+          acc2 += x2 * c0;
+          /* acc3 +=  x[7] * y[srcBLen - 5] */
+          acc3 += x3 * c0;
+
+          /* Reuse the present samples for the next MAC */
+          x0 = x1;
+          x1 = x2;
+          x2 = x3;
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = acc0;
+        *pOut++ = acc1;
+        *pOut++ = acc2;
+        *pOut++ = acc3;
+
+        /* Increment the pointer pIn1 index, count by 4 */
+        count += 4U;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement loop counter */
+        blkCnt--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (blkCnt > 0U)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        /* Loop unrolling: Compute 4 outputs at a time */
+        k = srcBLen >> 2U;
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulates */
+          sum += *px++ * *py--;
+          sum += *px++ * *py--;
+          sum += *px++ * *py--;
+          sum += *px++ * *py--;
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Loop unrolling: Compute remaining outputs */
+        k = srcBLen % 0x4U;
+
+#else
+
+        /* Initialize blkCnt with number of samples */
+        k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulate */
+          sum += *px++ * *py--;
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = sum;
+
+        /* Increment MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while (blkCnt > 0U)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0.0f;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulate */
+          sum += *px++ * *py--;
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = sum;
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------
+     * Initializations of stage3
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+     * ....
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+     * sum +=  x[srcALen-1] * y[srcBLen-1]
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.
+       The blockSize3 variable holds the number of MAC operations performed */
+    count = srcBLen - 1U;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1U);
+    py = pSrc2;
+
+    /* -------------------
+     * Stage3 process
+     * ------------------*/
+
+    while (blockSize3 > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      k = count >> 2U;
+
+      while (k > 0U)
+      {
+        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+        sum += *px++ * *py--;
+
+        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+        sum += *px++ * *py--;
+
+        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+        sum += *px++ * *py--;
+
+        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+        sum += *px++ * *py--;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = count % 0x4U;
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum += *px++ * *py--;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#else
+/* alternate version for CM0_FAMILY */
+
+  const float32_t *pIn1 = pSrcA;                       /* InputA pointer */
+  const float32_t *pIn2 = pSrcB;                       /* InputB pointer */
+        float32_t sum;                                 /* Accumulator */
+        uint32_t i, j;                                 /* Loop counters */
+        arm_status status;                             /* Status of Partial convolution */
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* Loop to calculate convolution for output length number of values */
+    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+    {
+      /* Initialize sum with zero to carry on MAC operations */
+      sum = 0.0f;
+
+      /* Loop to perform MAC operations according to convolution equation */
+      for (j = 0U; j <= i; j++)
+      {
+        /* Check the array limitations */
+        if (((i - j) < srcBLen) && (j < srcALen))
+        {
+          /* z[i] += x[i-j] * y[j] */
+          sum += ( pIn1[j] * pIn2[i - j]);
+        }
+      }
+
+      /* Store the output in the destination buffer */
+      pDst[i] = sum;
+    }
+
+    /* Set status as ARM_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of PartialConv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
new file mode 100644
index 0000000..ae640f2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
@@ -0,0 +1,387 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_partial_fast_opt_q15.c
+ * Description:  Fast Q15 Partial convolution
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup PartialConv
+  @{
+ */
+
+/**
+  @brief         Partial convolution of Q15 sequences (fast version).
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written
+  @param[in]     firstIndex is the first output sample to start with
+  @param[in]     numPoints  is the number of output points to be computed
+  @param[in]     pScratch1  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2
+  @param[in]     pScratch2  points to scratch buffer of size min(srcALen, srcBLen)
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+  @remark
+                   Refer to \ref arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
+ */
+
+arm_status arm_conv_partial_fast_opt_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints,
+        q15_t * pScratch1,
+        q15_t * pScratch2)
+{
+        q15_t *pOut = pDst;                            /* Output pointer */
+        q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
+        q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
+        q31_t acc0;                                    /* Accumulator */
+  const q15_t *pIn1;                                   /* InputA pointer */
+  const q15_t *pIn2;                                   /* InputB pointer */
+  const q15_t *px;                                     /* Intermediate inputA pointer */
+        q15_t *py;                                     /* Intermediate inputB pointer */
+        uint32_t j, k, blkCnt;                         /* Loop counter */
+        uint32_t tapCnt;                               /* Loop count */
+        arm_status status;                             /* Status variable */
+        q31_t x1;                                      /* Temporary variables to hold state and coefficient values */
+        q31_t y1;                                      /* State variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t acc1, acc2, acc3;                        /* Accumulator */
+        q31_t x2, x3;                                  /* Temporary variables to hold state and coefficient values */
+        q31_t y2;                                      /* State variables */
+#endif
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if (srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Temporary pointer for scratch2 */
+    py = pScratch2;
+
+    /* pointer to take end of scratch2 buffer */
+    pScr2 = pScratch2 + srcBLen - 1;
+
+    /* points to smaller length sequence */
+    px = pIn2;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = srcBLen >> 2U;
+
+    /* Copy smaller length input sequence in reverse order into second scratch buffer */
+    while (k > 0U)
+    {
+      /* copy second buffer in reversal manner */
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = srcBLen % 0x4U;
+
+#else
+
+    /* Initialize k with number of samples */
+    k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (k > 0U)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      *pScr2-- = *px++;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Initialze temporary scratch pointer */
+    pScr1 = pScratch1;
+
+    /* Assuming scratch1 buffer is aligned by 32-bit */
+    /* Fill (srcBLen - 1U) zeros in scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+    /* Update temporary scratch pointer */
+    pScr1 += (srcBLen - 1U);
+
+    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+    /* Copy (srcALen) samples in scratch buffer */
+    arm_copy_q15(pIn1, pScr1, srcALen);
+
+    /* Update pointers */
+    pScr1 += srcALen;
+
+    /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+    /* Update pointer */
+    pScr1 += (srcBLen - 1U);
+
+    /* Initialization of pIn2 pointer */
+    pIn2 = py;
+
+    pScratch1 += firstIndex;
+
+    pOut = pDst + firstIndex;
+
+    /* Actual convolution process starts here */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = (numPoints) >> 2;
+
+    while (blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* Read two samples from scratch1 buffer */
+      x1 = read_q15x2_ia (&pScr1);
+
+      /* Read next two samples from scratch1 buffer */
+      x2 = read_q15x2_ia (&pScr1);
+
+      tapCnt = (srcBLen) >> 2U;
+
+      while (tapCnt > 0U)
+      {
+
+        /* Read four samples from smaller buffer */
+        y1 = read_q15x2_ia ((q15_t **) &pIn2);
+        y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+        /* multiply and accumlate */
+        acc0 = __SMLAD(x1, y1, acc0);
+        acc2 = __SMLAD(x2, y1, acc2);
+
+        /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x2, x1, 0);
+#else
+        x3 = __PKHBT(x1, x2, 0);
+#endif
+
+        /* multiply and accumlate */
+        acc1 = __SMLADX(x3, y1, acc1);
+
+        /* Read next two samples from scratch1 buffer */
+        x1 = read_q15x2_ia (&pScr1);
+
+        /* multiply and accumlate */
+        acc0 = __SMLAD(x2, y2, acc0);
+        acc2 = __SMLAD(x1, y2, acc2);
+
+        /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x1, x2, 0);
+#else
+        x3 = __PKHBT(x2, x1, 0);
+#endif
+
+        acc3 = __SMLADX(x3, y1, acc3);
+        acc1 = __SMLADX(x3, y2, acc1);
+
+        x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x2, x1, 0);
+#else
+        x3 = __PKHBT(x1, x2, 0);
+#endif
+
+        /* multiply and accumlate */
+        acc3 = __SMLADX(x3, y2, acc3);
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* Update scratch pointer for remaining samples of smaller length sequence */
+      pScr1 -= 4U;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      tapCnt = (srcBLen) & 3U;
+
+      while (tapCnt > 0U)
+      {
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pIn2);
+        acc1 += (*pScr1++ * *pIn2);
+        acc2 += (*pScr1++ * *pIn2);
+        acc3 += (*pScr1++ * *pIn2++);
+
+        pScr1 -= 3U;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* Store the results in the accumulators in the destination buffer. */
+#ifndef  ARM_MATH_BIG_ENDIAN
+      write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+      write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+      write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+      write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+      /* Initialization of inputB pointer */
+      pIn2 = py;
+
+      pScratch1 += 4U;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = numPoints & 0x3;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numPoints;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    /* Calculate convolution for remaining samples of Bigger length sequence */
+    while (blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+
+      tapCnt = (srcBLen) >> 1U;
+
+      while (tapCnt > 0U)
+      {
+        /* Read next two samples from scratch1 buffer */
+        x1 = read_q15x2_ia (&pScr1);
+
+        /* Read two samples from smaller buffer */
+        y1 = read_q15x2_ia ((q15_t **) &pIn2);
+
+        /* multiply and accumlate */
+        acc0 = __SMLAD(x1, y1, acc0);
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      tapCnt = (srcBLen) & 1U;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      while (tapCnt > 0U)
+      {
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pIn2++);
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* The result is in 2.30 format.  Convert to 1.15 with saturation.
+       ** Then store the output in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+      /* Initialization of inputB pointer */
+      pIn2 = py;
+
+      pScratch1 += 1U;
+
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of PartialConv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
new file mode 100644
index 0000000..92e7487
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
@@ -0,0 +1,700 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_partial_fast_q15.c
+ * Description:  Fast Q15 Partial convolution
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup PartialConv
+  @{
+ */
+
+/**
+  @brief         Partial convolution of Q15 sequences (fast version).
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written
+  @param[in]     firstIndex is the first output sample to start with
+  @param[in]     numPoints  is the number of output points to be computed
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+  @remark
+                   Refer to \ref arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
+ */
+
+arm_status arm_conv_partial_fast_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints)
+{
+  const q15_t *pIn1;                                   /* InputA pointer */
+  const q15_t *pIn2;                                   /* InputB pointer */
+        q15_t *pOut = pDst;                            /* Output pointer */
+        q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
+  const q15_t *px;                                     /* Intermediate inputA pointer */
+  const q15_t *py;                                     /* Intermediate inputB pointer */
+  const q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+        q31_t x0, x1, x2, x3, c0;                      /* Temporary input variables */
+        uint32_t j, k, count, blkCnt, check;
+        int32_t blockSize1, blockSize2, blockSize3;    /* Loop counters */
+        arm_status status;                             /* Status of Partial convolution */
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if (srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t) numPoints) : 0;
+    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally
+     * divided into three stages according to the number of multiplications that has to be
+     * taken place between inputA samples and inputB samples. In the first stage of the
+     * algorithm, the multiplications increase by one for every iteration.
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.
+     * In the third stage of the algorithm, the multiplications decrease by one
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------
+     * Initializations of stage1
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]
+     * sum = x[0] * y[1] + x[1] * y[0]
+     * ....
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.
+       The count variable holds the number of MAC operations performed.
+       Since the partial convolution starts from firstIndex
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1U + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + firstIndex;
+    py = pSrc2;
+
+    /* ------------------------
+     * Stage1 process
+     * ----------------------*/
+
+    /* For loop unrolling by 4, this stage is divided into two. */
+    /* First part of this stage computes the MAC operations less than 4 */
+    /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+    /* The first part of the stage starts here */
+    while ((count < 4U) && (blockSize1 > 0))
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Loop over number of MAC operations between
+       * inputA samples and inputB samples */
+      k = count;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum = __SMLAD(*px++, *py--, sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2;
+      px = pIn1;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Decrement loop counter */
+      blockSize1--;
+    }
+
+    /* The second part of the stage starts here */
+    /* The internal loop, over count, is unrolled by 4 */
+    /* To, read the last two inputB samples using SIMD:
+     * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+    py = py - 1;
+
+    while (blockSize1 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+         a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+        sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+        /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+        sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* For the next MAC operations, the pointer py is used without SIMD
+         So, py is incremented by 1 */
+      py = py + 1U;
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.
+         No loop unrolling is used. */
+      k = count % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum = __SMLAD(*px++, *py--, sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2 - 1U;
+      px = pIn1;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Decrement loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------
+     * Initializations of stage2
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+     * ....
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+     */
+
+    /* Working pointer of inputA */
+    if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      pSrc1 = pIn1;
+    }
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1U);
+    py = pSrc2;
+
+    /* count is the index by which the pointer pIn1 to be incremented */
+    count = 0U;
+
+    /* -------------------
+     * Stage2 process
+     * ------------------*/
+
+    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+     * So, to loop unroll over blockSize2,
+     * srcBLen should be greater than or equal to 4 */
+    if (srcBLen >= 4U)
+    {
+      /* Loop unrolling: Compute 4 outputs at a time */
+      blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+      while (blkCnt > 0U)
+      {
+        py = py - 1U;
+
+        /* Set all accumulators to zero */
+        acc0 = 0;
+        acc1 = 0;
+        acc2 = 0;
+        acc3 = 0;
+
+
+        /* read x[0], x[1] samples */
+        x0 = read_q15x2 ((q15_t *) px);
+        /* read x[1], x[2] samples */
+        x1 = read_q15x2 ((q15_t *) px + 1);
+        px += 2U;
+
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2U;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        do
+        {
+          /* Read the last two inputB samples using SIMD:
+           * y[srcBLen - 1] and y[srcBLen - 2] */
+          c0 = read_q15x2_da ((q15_t **) &py);
+
+          /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+          acc0 = __SMLADX(x0, c0, acc0);
+
+          /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+          acc1 = __SMLADX(x1, c0, acc1);
+
+          /* Read x[2], x[3] */
+          x2 = read_q15x2 ((q15_t *) px);
+
+          /* Read x[3], x[4] */
+          x3 = read_q15x2 ((q15_t *) px + 1);
+
+          /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+          acc2 = __SMLADX(x2, c0, acc2);
+
+          /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+          acc3 = __SMLADX(x3, c0, acc3);
+
+          /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+          c0 = read_q15x2_da ((q15_t **) &py);
+
+          /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+          acc0 = __SMLADX(x2, c0, acc0);
+
+          /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+          acc1 = __SMLADX(x3, c0, acc1);
+
+          /* Read x[4], x[5] */
+          x0 = read_q15x2 ((q15_t *) px + 2);
+
+          /* Read x[5], x[6] */
+          x1 = read_q15x2 ((q15_t *) px + 3);
+          px += 4U;
+
+          /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+          acc2 = __SMLADX(x0, c0, acc2);
+
+          /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+          acc3 = __SMLADX(x1, c0, acc3);
+
+        } while (--k);
+
+        /* For the next MAC operations, SIMD is not used
+           So, the 16 bit pointer if inputB, py is updated */
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+           No loop unrolling is used. */
+        k = srcBLen % 0x4U;
+
+        if (k == 1U)
+        {
+          /* Read y[srcBLen - 5] */
+          c0 = *(py + 1);
+#ifdef  ARM_MATH_BIG_ENDIAN
+          c0 = c0 << 16U;
+#else
+          c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef  ARM_MATH_BIG_ENDIAN */
+
+          /* Read x[7] */
+          x3 = read_q15x2 ((q15_t *) px);
+          px++;
+
+          /* Perform the multiply-accumulate */
+          acc0 = __SMLAD (x0, c0, acc0);
+          acc1 = __SMLAD (x1, c0, acc1);
+          acc2 = __SMLADX(x1, c0, acc2);
+          acc3 = __SMLADX(x3, c0, acc3);
+        }
+
+        if (k == 2U)
+        {
+          /* Read y[srcBLen - 5], y[srcBLen - 6] */
+          c0 = read_q15x2 ((q15_t *) py);
+
+          /* Read x[7], x[8] */
+          x3 = read_q15x2 ((q15_t *) px);
+
+          /* Read x[9] */
+          x2 = read_q15x2 ((q15_t *) px + 1);
+          px += 2U;
+
+          /* Perform the multiply-accumulate */
+          acc0 = __SMLADX(x0, c0, acc0);
+          acc1 = __SMLADX(x1, c0, acc1);
+          acc2 = __SMLADX(x3, c0, acc2);
+          acc3 = __SMLADX(x2, c0, acc3);
+        }
+
+        if (k == 3U)
+        {
+          /* Read y[srcBLen - 5], y[srcBLen - 6] */
+          c0 = read_q15x2 ((q15_t *) py);
+
+          /* Read x[7], x[8] */
+          x3 = read_q15x2 ((q15_t *) px);
+
+          /* Read x[9] */
+          x2 = read_q15x2 ((q15_t *) px + 1);
+
+          /* Perform the multiply-accumulate */
+          acc0 = __SMLADX(x0, c0, acc0);
+          acc1 = __SMLADX(x1, c0, acc1);
+          acc2 = __SMLADX(x3, c0, acc2);
+          acc3 = __SMLADX(x2, c0, acc3);
+
+          c0 = *(py-1);
+#ifdef  ARM_MATH_BIG_ENDIAN
+          c0 = c0 << 16U;
+#else
+          c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef  ARM_MATH_BIG_ENDIAN */
+
+          /* Read x[10] */
+          x3 =  read_q15x2 ((q15_t *) px + 2);
+          px += 3U;
+
+          /* Perform the multiply-accumulates */
+          acc0 = __SMLADX(x1, c0, acc0);
+          acc1 = __SMLAD (x2, c0, acc1);
+          acc2 = __SMLADX(x2, c0, acc2);
+          acc3 = __SMLADX(x3, c0, acc3);
+        }
+
+        /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+        write_q15x2_ia (&pOut, __PKHBT(acc0 >> 15, acc1 >> 15, 16));
+        write_q15x2_ia (&pOut, __PKHBT(acc2 >> 15, acc3 >> 15, 16));
+#else
+        write_q15x2_ia (&pOut, __PKHBT(acc1 >> 15, acc0 >> 15, 16));
+        write_q15x2_ia (&pOut, __PKHBT(acc3 >> 15, acc2 >> 15, 16));
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+        /* Increment the pointer pIn1 index, count by 4 */
+        count += 4U;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+
+      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+         No loop unrolling is used. */
+      blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+      while (blkCnt > 0U)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2U;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+           a second loop below computes MACs for the remaining 1 to 3 samples. */
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulates */
+          sum += ((q31_t) *px++ * *py--);
+          sum += ((q31_t) *px++ * *py--);
+          sum += ((q31_t) *px++ * *py--);
+          sum += ((q31_t) *px++ * *py--);
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4U;
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulates */
+          sum += ((q31_t) *px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q15_t) (sum >> 15);
+
+        /* Increment the pointer pIn1 index, count by 1 */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while (blkCnt > 0U)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulate */
+          sum += ((q31_t) *px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q15_t) (sum >> 15);
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------
+     * Initializations of stage3
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+     * ....
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+     * sum +=  x[srcALen-1] * y[srcBLen-1]
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.
+       The count variable holds the number of MAC operations performed */
+    count = srcBLen - 1U;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1U);
+    pIn2 = pSrc2 - 1U;
+    py = pIn2;
+
+    /* -------------------
+     * Stage3 process
+     * ------------------*/
+
+    /* For loop unrolling by 4, this stage is divided into two. */
+    /* First part of this stage computes the MAC operations greater than 4 */
+    /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+    /* The first part of the stage starts here */
+    j = count >> 2U;
+
+    while ((j > 0U) && (blockSize3 > 0))
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while (k > 0U)
+      {
+        /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied
+         * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+        sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+        /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied
+         * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+        sum = __SMLADX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* For the next MAC operations, the pointer py is used without SIMD
+         So, py is incremented by 1 */
+      py = py + 1U;
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.
+         No loop unrolling is used. */
+      k = count % 0x4U;
+
+      while (k > 0U)
+      {
+        /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+        sum = __SMLAD(*px++, *py--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pIn2;
+
+      /* Decrement the MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+
+      j--;
+    }
+
+    /* The second part of the stage starts here */
+    /* SIMD is not used for the next MAC operations,
+     * so pointer py is updated to read only one sample at a time */
+    py = py + 1U;
+
+    while (blockSize3 > 0)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum = __SMLAD(*px++, *py--, sum);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (sum >> 15);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement the MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+}
+
+/**
+  @} end of PartialConv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
new file mode 100644
index 0000000..f906b5c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
@@ -0,0 +1,618 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_partial_fast_q31.c
+ * Description:  Fast Q31 Partial convolution
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup PartialConv
+  @{
+ */
+
+/**
+  @brief         Partial convolution of Q31 sequences (fast version).
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written
+  @param[in]     firstIndex is the first output sample to start with
+  @param[in]     numPoints  is the number of output points to be computed
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+  @remark
+                   Refer to \ref arm_conv_partial_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.
+ */
+
+arm_status arm_conv_partial_fast_q31(
+  const q31_t * pSrcA,
+        uint32_t srcALen,
+  const q31_t * pSrcB,
+        uint32_t srcBLen,
+        q31_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints)
+{
+  const q31_t *pIn1;                                   /* InputA pointer */
+  const q31_t *pIn2;                                   /* InputB pointer */
+        q31_t *pOut = pDst;                            /* Output pointer */
+  const q31_t *px;                                     /* Intermediate inputA pointer */
+  const q31_t *py;                                     /* Intermediate inputB pointer */
+  const q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+        q31_t sum;                                     /* Accumulators */
+        uint32_t j, k, count, check, blkCnt;
+        int32_t blockSize1, blockSize2, blockSize3;    /* Loop counters */
+        arm_status status;                             /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
+        q31_t x0, x1, x2, x3, c0;
+#endif
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if (srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t) numPoints) : 0;
+    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally
+     * divided into three stages according to the number of multiplications that has to be
+     * taken place between inputA samples and inputB samples. In the first stage of the
+     * algorithm, the multiplications increase by one for every iteration.
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.
+     * In the third stage of the algorithm, the multiplications decrease by one
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------
+     * Initializations of stage1
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]
+     * sum = x[0] * y[1] + x[1] * y[0]
+     * ....
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.
+       The count variable holds the number of MAC operations performed.
+       Since the partial convolution starts from firstIndex
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1U + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + firstIndex;
+    py = pSrc2;
+
+    /* ------------------------
+     * Stage1 process
+     * ----------------------*/
+
+    /* The first stage starts here */
+    while (blockSize1 > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      k = count >> 2U;
+
+      while (k > 0U)
+      {
+        /* x[0] * y[srcBLen - 1] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* x[1] * y[srcBLen - 2] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* x[2] * y[srcBLen - 3] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* x[3] * y[srcBLen - 4] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = count % 0x4U;
+
+#else
+
+      /* Initialize k with number of samples */
+      k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum << 1;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2;
+      px = pIn1;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Decrement loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------
+     * Initializations of stage2
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+     * ....
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+     */
+
+    /* Working pointer of inputA */
+    if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      pSrc1 = pIn1;
+    }
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1U);
+    py = pSrc2;
+
+    /* count is index by which the pointer pIn1 to be incremented */
+    count = 0U;
+
+    /* -------------------
+     * Stage2 process
+     * ------------------*/
+
+    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+     * So, to loop unroll over blockSize2,
+     * srcBLen should be greater than or equal to 4 */
+    if (srcBLen >= 4U)
+    {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+      blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+      while (blkCnt > 0U)
+      {
+        /* Set all accumulators to zero */
+        acc0 = 0;
+        acc1 = 0;
+        acc2 = 0;
+        acc3 = 0;
+
+        /* read x[0], x[1], x[2] samples */
+        x0 = *px++;
+        x1 = *px++;
+        x2 = *px++;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2U;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        do
+        {
+          /* Read y[srcBLen - 1] sample */
+          c0 = *py--;
+          /* Read x[3] sample */
+          x3 = *px++;
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[0] * y[srcBLen - 1] */
+          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+          /* acc1 +=  x[1] * y[srcBLen - 1] */
+          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+          /* acc2 +=  x[2] * y[srcBLen - 1] */
+          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+          /* acc3 +=  x[3] * y[srcBLen - 1] */
+          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+          /* Read y[srcBLen - 2] sample */
+          c0 = *py--;
+          /* Read x[4] sample */
+          x0 = *px++;
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[1] * y[srcBLen - 2] */
+          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
+          /* acc1 +=  x[2] * y[srcBLen - 2] */
+          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
+          /* acc2 +=  x[3] * y[srcBLen - 2] */
+          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
+          /* acc3 +=  x[4] * y[srcBLen - 2] */
+          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+          /* Read y[srcBLen - 3] sample */
+          c0 = *py--;
+          /* Read x[5] sample */
+          x1 = *px++;
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[2] * y[srcBLen - 3] */
+          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
+          /* acc1 +=  x[3] * y[srcBLen - 2] */
+          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
+          /* acc2 +=  x[4] * y[srcBLen - 2] */
+          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
+          /* acc3 +=  x[5] * y[srcBLen - 2] */
+          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+          /* Read y[srcBLen - 4] sample */
+          c0 = *py--;
+          /* Read x[6] sample */
+          x2 = *px++;
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[3] * y[srcBLen - 4] */
+          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
+          /* acc1 +=  x[4] * y[srcBLen - 4] */
+          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
+          /* acc2 +=  x[5] * y[srcBLen - 4] */
+          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
+          /* acc3 +=  x[6] * y[srcBLen - 4] */
+          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
+
+        } while (--k);
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4U;
+
+        while (k > 0U)
+        {
+          /* Read y[srcBLen - 5] sample */
+          c0 = *py--;
+          /* Read x[7] sample */
+          x3 = *px++;
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[4] * y[srcBLen - 5] */
+          acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+          /* acc1 +=  x[5] * y[srcBLen - 5] */
+          acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+          /* acc2 +=  x[6] * y[srcBLen - 5] */
+          acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+          /* acc3 +=  x[7] * y[srcBLen - 5] */
+          acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+          /* Reuse the present samples for the next MAC */
+          x0 = x1;
+          x1 = x2;
+          x2 = x3;
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q31_t) (acc0 << 1);
+        *pOut++ = (q31_t) (acc1 << 1);
+        *pOut++ = (q31_t) (acc2 << 1);
+        *pOut++ = (q31_t) (acc3 << 1);
+
+        /* Increment the pointer pIn1 index, count by 4 */
+        count += 4U;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement loop counter */
+        blkCnt--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (blkCnt > 0U)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        /* Loop unrolling: Compute 4 outputs at a time */
+        k = srcBLen >> 2U;
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulates */
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) * px++ * (*py--))) >> 32);
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) * px++ * (*py--))) >> 32);
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) * px++ * (*py--))) >> 32);
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) * px++ * (*py--))) >> 32);
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Loop unrolling: Compute remaining outputs */
+        k = srcBLen % 0x4U;
+
+#else
+
+        /* Initialize blkCnt with number of samples */
+        k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulate */
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) *px++ * (*py--))) >> 32);
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = sum << 1;
+
+        /* Increment MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while (blkCnt > 0U)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulate */
+          sum = (q31_t) ((((q63_t) sum << 32) +
+                          ((q63_t) *px++ * (*py--))) >> 32);
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = sum << 1;
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------
+     * Initializations of stage3
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+     * ....
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+     * sum +=  x[srcALen-1] * y[srcBLen-1]
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.
+       The count variable holds the number of MAC operations performed */
+    count = srcBLen - 1U;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1U);
+    py = pSrc2;
+
+    /* -------------------
+     * Stage3 process
+     * ------------------*/
+
+    while (blockSize3 > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      k = count >> 2U;
+
+      while (k > 0U)
+      {
+        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = count % 0x4U;
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py--))) >> 32);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = sum << 1;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+}
+
+/**
+  @} end of PartialConv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
new file mode 100644
index 0000000..05c3284
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
@@ -0,0 +1,386 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_partial_opt_q15.c
+ * Description:  Partial convolution of Q15 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup PartialConv
+  @{
+ */
+
+/**
+  @brief         Partial convolution of Q15 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written
+  @param[in]     firstIndex is the first output sample to start with
+  @param[in]     numPoints  is the number of output points to be computed
+  @param[in]     pScratch1  points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+  @param[in]     pScratch2  points to scratch buffer of size min(srcALen, srcBLen).
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+  @remark
+                   Refer to \ref arm_conv_partial_fast_q15() for a faster but less precise version of this function.
+ */
+
+arm_status arm_conv_partial_opt_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints,
+        q15_t * pScratch1,
+        q15_t * pScratch2)
+{
+
+        q15_t *pOut = pDst;                            /* Output pointer */
+        q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch1 */
+        q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch1 */
+        q63_t acc0;                                    /* Accumulator */
+        q31_t x1;                                      /* Temporary variables to hold state and coefficient values */
+        q31_t y1;                                      /* State variables */
+  const q15_t *pIn1;                                   /* InputA pointer */
+  const q15_t *pIn2;                                   /* InputB pointer */
+  const q15_t *px;                                     /* Intermediate inputA pointer */
+        q15_t *py;                                     /* Intermediate inputB pointer */
+        uint32_t j, k, blkCnt;                         /* Loop counter */
+        uint32_t tapCnt;                               /* Loop count */
+        arm_status status;                             /* Status variable */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q63_t acc1, acc2, acc3;                        /* Accumulator */
+        q31_t x2, x3;                                  /* Temporary variables to hold state and coefficient values */
+        q31_t y2;                                      /* State variables */
+#endif
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if (srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Temporary pointer for scratch2 */
+    py = pScratch2;
+
+    /* pointer to take end of scratch2 buffer */
+    pScr2 = pScratch2 + srcBLen - 1;
+
+    /* points to smaller length sequence */
+    px = pIn2;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = srcBLen >> 2U;
+
+    /* Copy smaller length input sequence in reverse order into second scratch buffer */
+    while (k > 0U)
+    {
+      /* copy second buffer in reversal manner */
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+      *pScr2-- = *px++;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = srcBLen % 0x4U;
+
+#else
+
+    /* Initialize k with number of samples */
+    k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (k > 0U)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      *pScr2-- = *px++;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Initialze temporary scratch pointer */
+    pScr1 = pScratch1;
+
+    /* Assuming scratch1 buffer is aligned by 32-bit */
+    /* Fill (srcBLen - 1U) zeros in scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+    /* Update temporary scratch pointer */
+    pScr1 += (srcBLen - 1U);
+
+    /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */
+
+    /* Copy (srcALen) samples in scratch buffer */
+    arm_copy_q15(pIn1, pScr1, srcALen);
+
+    /* Update pointers */
+    pScr1 += srcALen;
+
+    /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+    /* Update pointer */
+    pScr1 += (srcBLen - 1U);
+
+    /* Initialization of pIn2 pointer */
+    pIn2 = py;
+
+    pScratch1 += firstIndex;
+
+    pOut = pDst + firstIndex;
+
+    /* Actual convolution process starts here */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = (numPoints) >> 2;
+
+    while (blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* Read two samples from scratch1 buffer */
+      x1 = read_q15x2_ia (&pScr1);
+
+      /* Read next two samples from scratch1 buffer */
+      x2 = read_q15x2_ia (&pScr1);
+
+      tapCnt = (srcBLen) >> 2U;
+
+      while (tapCnt > 0U)
+      {
+
+        /* Read four samples from smaller buffer */
+        y1 = read_q15x2_ia ((q15_t **) &pIn2);
+        y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+        /* multiply and accumlate */
+        acc0 = __SMLALD(x1, y1, acc0);
+        acc2 = __SMLALD(x2, y1, acc2);
+
+        /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x2, x1, 0);
+#else
+        x3 = __PKHBT(x1, x2, 0);
+#endif
+
+        /* multiply and accumlate */
+        acc1 = __SMLALDX(x3, y1, acc1);
+
+        /* Read next two samples from scratch1 buffer */
+        x1 = read_q15x2_ia (&pScr1);
+
+        /* multiply and accumlate */
+        acc0 = __SMLALD(x2, y2, acc0);
+        acc2 = __SMLALD(x1, y2, acc2);
+
+        /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x1, x2, 0);
+#else
+        x3 = __PKHBT(x2, x1, 0);
+#endif
+
+        acc3 = __SMLALDX(x3, y1, acc3);
+        acc1 = __SMLALDX(x3, y2, acc1);
+
+        x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x2, x1, 0);
+#else
+        x3 = __PKHBT(x1, x2, 0);
+#endif
+
+        acc3 = __SMLALDX(x3, y2, acc3);
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* Update scratch pointer for remaining samples of smaller length sequence */
+      pScr1 -= 4U;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      tapCnt = (srcBLen) & 3U;
+
+      while (tapCnt > 0U)
+      {
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pIn2);
+        acc1 += (*pScr1++ * *pIn2);
+        acc2 += (*pScr1++ * *pIn2);
+        acc3 += (*pScr1++ * *pIn2++);
+
+        pScr1 -= 3U;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* Store the results in the accumulators in the destination buffer. */
+#ifndef  ARM_MATH_BIG_ENDIAN
+      write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+      write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+      write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+      write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+      /* Initialization of inputB pointer */
+      pIn2 = py;
+
+      pScratch1 += 4U;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = numPoints & 0x3;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numPoints;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    /* Calculate convolution for remaining samples of Bigger length sequence */
+    while (blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+
+      tapCnt = (srcBLen) >> 1U;
+
+      while (tapCnt > 0U)
+      {
+        /* Read next two samples from scratch1 buffer */
+        x1 = read_q15x2_ia (&pScr1);
+
+        /* Read two samples from smaller buffer */
+        y1 = read_q15x2_ia ((q15_t **) &pIn2);
+
+        acc0 = __SMLALD(x1, y1, acc0);
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      tapCnt = (srcBLen) & 1U;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      while (tapCnt > 0U)
+      {
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pIn2++);
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* The result is in 2.30 format.  Convert to 1.15 with saturation.
+       ** Then store the output in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+      /* Initialization of inputB pointer */
+      pIn2 = py;
+
+      pScratch1 += 1U;
+
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of PartialConv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
new file mode 100644
index 0000000..5ac2af4
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
@@ -0,0 +1,390 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_partial_opt_q7.c
+ * Description:  Partial convolution of Q7 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup PartialConv
+  @{
+ */
+
+/**
+  @brief         Partial convolution of Q7 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written
+  @param[in]     firstIndex is the first output sample to start with
+  @param[in]     numPoints  is the number of output points to be computed
+  @param[in]     pScratch1  points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+  @param[in]     pScratch2  points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+ */
+
+arm_status arm_conv_partial_opt_q7(
+  const q7_t * pSrcA,
+        uint32_t srcALen,
+  const q7_t * pSrcB,
+        uint32_t srcBLen,
+        q7_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints,
+        q15_t * pScratch1,
+        q15_t * pScratch2)
+{
+        q15_t *pScr2, *pScr1;                          /* Intermediate pointers for scratch pointers */
+        q15_t x4;                                      /* Temporary input variable */
+  const q7_t *pIn1, *pIn2;                             /* InputA and inputB pointer */
+        uint32_t j, k, blkCnt, tapCnt;                 /* Loop counter */
+  const q7_t *px;                                      /* Temporary input1 pointer */
+        q15_t *py;                                     /* Temporary input2 pointer */
+        q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
+        q31_t x1, x2, x3, y1;                          /* Temporary input variables */
+        arm_status status;
+        q7_t *pOut = pDst;                             /* Output pointer */
+        q7_t out0, out1, out2, out3;                   /* Temporary variables */
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if (srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* pointer to take end of scratch2 buffer */
+    pScr2 = pScratch2;
+
+    /* points to smaller length sequence */
+    px = pIn2 + srcBLen - 1;
+
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = srcBLen >> 2U;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* copy second buffer in reversal manner */
+      x4 = (q15_t) *px--;
+      *pScr2++ = x4;
+      x4 = (q15_t) *px--;
+      *pScr2++ = x4;
+      x4 = (q15_t) *px--;
+      *pScr2++ = x4;
+      x4 = (q15_t) *px--;
+      *pScr2++ = x4;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.
+     ** No loop unrolling is used. */
+    k = srcBLen % 0x4U;
+
+    while (k > 0U)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      x4 = (q15_t) *px--;
+      *pScr2++ = x4;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Initialze temporary scratch pointer */
+    pScr1 = pScratch1;
+
+    /* Fill (srcBLen - 1U) zeros in scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+    /* Update temporary scratch pointer */
+    pScr1 += (srcBLen - 1U);
+
+    /* Copy (srcALen) samples in scratch buffer */
+    /* Apply loop unrolling and do 4 Copies simultaneously. */
+    k = srcALen >> 2U;
+
+    /* First part of the processing with loop unrolling copies 4 data points at a time.
+     ** a second loop below copies for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* copy second buffer in reversal manner */
+      x4 = (q15_t) *pIn1++;
+      *pScr1++ = x4;
+      x4 = (q15_t) *pIn1++;
+      *pScr1++ = x4;
+      x4 = (q15_t) *pIn1++;
+      *pScr1++ = x4;
+      x4 = (q15_t) *pIn1++;
+      *pScr1++ = x4;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, copy remaining samples here.
+     ** No loop unrolling is used. */
+    k = srcALen % 0x4U;
+
+    while (k > 0U)
+    {
+      /* copy second buffer in reversal manner for remaining samples */
+      x4 = (q15_t) *pIn1++;
+      *pScr1++ = x4;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+    arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+    /* Update pointer */
+    pScr1 += (srcBLen - 1U);
+
+
+    /* Temporary pointer for scratch2 */
+    py = pScratch2;
+
+    /* Initialization of pIn2 pointer */
+    pIn2 = (q7_t *) py;
+
+    pScr2 = py;
+
+    pOut = pDst + firstIndex;
+
+    pScratch1 += firstIndex;
+
+    /* Actual convolution process starts here */
+    blkCnt = (numPoints) >> 2;
+
+    while (blkCnt > 0)
+    {
+      /* Initialize temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumulators */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* Read two samples from scratch1 buffer */
+      x1 = read_q15x2_ia (&pScr1);
+
+      /* Read next two samples from scratch1 buffer */
+      x2 = read_q15x2_ia (&pScr1);
+
+      tapCnt = (srcBLen) >> 2U;
+
+      while (tapCnt > 0U)
+      {
+        /* Read four samples from smaller buffer */
+        y1 = read_q15x2_ia (&pScr2);
+
+        /* multiply and accumlate */
+        acc0 = __SMLAD(x1, y1, acc0);
+        acc2 = __SMLAD(x2, y1, acc2);
+
+        /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x2, x1, 0);
+#else
+        x3 = __PKHBT(x1, x2, 0);
+#endif
+
+        /* multiply and accumlate */
+        acc1 = __SMLADX(x3, y1, acc1);
+
+        /* Read next two samples from scratch1 buffer */
+        x1 = read_q15x2_ia (&pScr1);
+
+        /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x1, x2, 0);
+#else
+        x3 = __PKHBT(x2, x1, 0);
+#endif
+
+        acc3 = __SMLADX(x3, y1, acc3);
+
+        /* Read four samples from smaller buffer */
+        y1 = read_q15x2_ia (&pScr2);
+
+        acc0 = __SMLAD(x2, y1, acc0);
+
+        acc2 = __SMLAD(x1, y1, acc2);
+
+        acc1 = __SMLADX(x3, y1, acc1);
+
+        x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        x3 = __PKHBT(x2, x1, 0);
+#else
+        x3 = __PKHBT(x1, x2, 0);
+#endif
+
+        acc3 = __SMLADX(x3, y1, acc3);
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* Update scratch pointer for remaining samples of smaller length sequence */
+      pScr1 -= 4U;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      tapCnt = (srcBLen) & 3U;
+
+      while (tapCnt > 0U)
+      {
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pScr2);
+        acc1 += (*pScr1++ * *pScr2);
+        acc2 += (*pScr1++ * *pScr2);
+        acc3 += (*pScr1++ * *pScr2++);
+
+        pScr1 -= 3U;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* Store the result in the accumulator in the destination buffer. */
+      out0 = (q7_t) (__SSAT(acc0 >> 7U, 8));
+      out1 = (q7_t) (__SSAT(acc1 >> 7U, 8));
+      out2 = (q7_t) (__SSAT(acc2 >> 7U, 8));
+      out3 = (q7_t) (__SSAT(acc3 >> 7U, 8));
+
+      write_q7x4_ia (&pOut, __PACKq7(out0, out1, out2, out3));
+
+      /* Initialization of inputB pointer */
+      pScr2 = py;
+
+      pScratch1 += 4U;
+    }
+
+    blkCnt = (numPoints) & 0x3;
+
+    /* Calculate convolution for remaining samples of Bigger length sequence */
+    while (blkCnt > 0)
+    {
+      /* Initialze temporary scratch pointer as scratch1 */
+      pScr1 = pScratch1;
+
+      /* Clear Accumlators */
+      acc0 = 0;
+
+      tapCnt = (srcBLen) >> 1U;
+
+      while (tapCnt > 0U)
+      {
+
+        /* Read next two samples from scratch1 buffer */
+        x1 = read_q15x2_ia (&pScr1);
+
+        /* Read two samples from smaller buffer */
+        y1 = read_q15x2_ia (&pScr2);
+
+        acc0 = __SMLAD(x1, y1, acc0);
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      tapCnt = (srcBLen) & 1U;
+
+      /* apply same above for remaining samples of smaller length sequence */
+      while (tapCnt > 0U)
+      {
+
+        /* accumlate the results */
+        acc0 += (*pScr1++ * *pScr2++);
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      blkCnt--;
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8));
+
+      /* Initialization of inputB pointer */
+      pScr2 = py;
+
+      pScratch1 += 1U;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+}
+
+/**
+  @} end of PartialConv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c
new file mode 100644
index 0000000..15ea796
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c
@@ -0,0 +1,752 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_partial_q15.c
+ * Description:  Partial convolution of Q15 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup PartialConv
+  @{
+ */
+
+/**
+  @brief         Partial convolution of Q15 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written
+  @param[in]     firstIndex is the first output sample to start with
+  @param[in]     numPoints  is the number of output points to be computed
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+  @remark
+                   Refer to \ref arm_conv_partial_fast_q15() for a faster but less precise version of this function.
+  @remark
+                   Refer to \ref arm_conv_partial_opt_q15() for a faster implementation of this function using scratch buffers.
+ */
+
+arm_status arm_conv_partial_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints)
+{
+
+#if defined (ARM_MATH_DSP)
+
+  const q15_t *pIn1;                                   /* InputA pointer */
+  const q15_t *pIn2;                                   /* InputB pointer */
+        q15_t *pOut = pDst;                            /* Output pointer */
+        q63_t sum, acc0, acc1, acc2, acc3;             /* Accumulator */
+  const q15_t *px;                                     /* Intermediate inputA pointer */
+  const q15_t *py;                                     /* Intermediate inputB pointer */
+  const q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+        q31_t x0, x1, x2, x3, c0;                      /* Temporary input variables to hold state and coefficient values */
+        int32_t blockSize1, blockSize2, blockSize3;    /* Loop counters */
+        uint32_t j, k, count, blkCnt, check;
+        arm_status status;                             /* Status of Partial convolution */
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if (srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t) numPoints) : 0;
+    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally
+     * divided into three stages according to the number of multiplications that has to be
+     * taken place between inputA samples and inputB samples. In the first stage of the
+     * algorithm, the multiplications increase by one for every iteration.
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.
+     * In the third stage of the algorithm, the multiplications decrease by one
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------
+     * Initializations of stage1
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]
+     * sum = x[0] * y[1] + x[1] * y[0]
+     * ....
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.
+       The count variable holds the number of MAC operations performed.
+       Since the partial convolution starts from firstIndex
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1U + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + firstIndex;
+    py = pSrc2;
+
+    /* ------------------------
+     * Stage1 process
+     * ----------------------*/
+
+    /* For loop unrolling by 4, this stage is divided into two. */
+    /* First part of this stage computes the MAC operations less than 4 */
+    /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+    /* The first part of the stage starts here */
+    while ((count < 4U) && (blockSize1 > 0U))
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Loop over number of MAC operations between
+       * inputA samples and inputB samples */
+      k = count;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum = __SMLALD(*px++, *py--, sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2;
+      px = pIn1;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Decrement loop counter */
+      blockSize1--;
+    }
+
+    /* The second part of the stage starts here */
+    /* The internal loop, over count, is unrolled by 4 */
+    /* To, read the last two inputB samples using SIMD:
+     * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+    py = py - 1;
+
+    while (blockSize1 > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+         a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+        sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+        /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+        sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* For the next MAC operations, the pointer py is used without SIMD
+       * So, py is incremented by 1 */
+      py = py + 1U;
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.
+         No loop unrolling is used. */
+      k = count % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum = __SMLALD(*px++, *py--, sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2 - 1U;
+      px = pIn1;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Decrement loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------
+     * Initializations of stage2
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+     * ....
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+     */
+
+    /* Working pointer of inputA */
+    if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      pSrc1 = pIn1;
+    }
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1U);
+    py = pSrc2;
+
+    /* count is the index by which the pointer pIn1 to be incremented */
+    count = 0U;
+
+    /* -------------------
+     * Stage2 process
+     * ------------------*/
+
+    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+     * So, to loop unroll over blockSize2,
+     * srcBLen should be greater than or equal to 4 */
+    if (srcBLen >= 4U)
+    {
+      /* Loop unrolling: Compute 4 outputs at a time */
+      blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+      while (blkCnt > 0U)
+      {
+        py = py - 1U;
+
+        /* Set all accumulators to zero */
+        acc0 = 0;
+        acc1 = 0;
+        acc2 = 0;
+        acc3 = 0;
+
+
+        /* read x[0], x[1] samples */
+        x0 = read_q15x2 ((q15_t *) px);
+        /* read x[1], x[2] samples */
+        x1 = read_q15x2 ((q15_t *) px + 1);
+        px += 2U;
+
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2U;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        do
+        {
+          /* Read the last two inputB samples using SIMD:
+           * y[srcBLen - 1] and y[srcBLen - 2] */
+          c0 = read_q15x2_da ((q15_t **) &py);
+
+          /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+          acc0 = __SMLALDX(x0, c0, acc0);
+
+          /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+          acc1 = __SMLALDX(x1, c0, acc1);
+
+          /* Read x[2], x[3] */
+          x2 = read_q15x2 ((q15_t *) px);
+
+          /* Read x[3], x[4] */
+          x3 = read_q15x2 ((q15_t *) px + 1);
+
+          /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+          acc2 = __SMLALDX(x2, c0, acc2);
+
+          /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+          acc3 = __SMLALDX(x3, c0, acc3);
+
+          /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+          c0 = read_q15x2_da ((q15_t **) &py);
+
+          /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+          acc0 = __SMLALDX(x2, c0, acc0);
+
+          /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+          acc1 = __SMLALDX(x3, c0, acc1);
+
+          /* Read x[4], x[5] */
+          x0 = read_q15x2 ((q15_t *) px + 2);
+
+          /* Read x[5], x[6] */
+          x1 = read_q15x2 ((q15_t *) px + 3);
+          px += 4U;
+
+          /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+          acc2 = __SMLALDX(x0, c0, acc2);
+
+          /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+          acc3 = __SMLALDX(x1, c0, acc3);
+
+        } while (--k);
+
+        /* For the next MAC operations, SIMD is not used
+         * So, the 16 bit pointer if inputB, py is updated */
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4U;
+
+        if (k == 1U)
+        {
+          /* Read y[srcBLen - 5] */
+          c0 = *(py+1);
+#ifdef  ARM_MATH_BIG_ENDIAN
+          c0 = c0 << 16U;
+#else
+          c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef  ARM_MATH_BIG_ENDIAN */
+
+          /* Read x[7] */
+          x3 = read_q15x2 ((q15_t *) px);
+          px++;
+
+          /* Perform the multiply-accumulate */
+          acc0 = __SMLALD (x0, c0, acc0);
+          acc1 = __SMLALD (x1, c0, acc1);
+          acc2 = __SMLALDX(x1, c0, acc2);
+          acc3 = __SMLALDX(x3, c0, acc3);
+        }
+
+        if (k == 2U)
+        {
+          /* Read y[srcBLen - 5], y[srcBLen - 6] */
+          c0 = read_q15x2 ((q15_t *) py);
+
+          /* Read x[7], x[8] */
+          x3 = read_q15x2 ((q15_t *) px);
+
+          /* Read x[9] */
+          x2 = read_q15x2 ((q15_t *) px + 1);
+          px += 2U;
+
+          /* Perform the multiply-accumulate */
+          acc0 = __SMLALDX(x0, c0, acc0);
+          acc1 = __SMLALDX(x1, c0, acc1);
+          acc2 = __SMLALDX(x3, c0, acc2);
+          acc3 = __SMLALDX(x2, c0, acc3);
+        }
+
+        if (k == 3U)
+        {
+          /* Read y[srcBLen - 5], y[srcBLen - 6] */
+          c0 = read_q15x2 ((q15_t *) py);
+
+          /* Read x[7], x[8] */
+          x3 = read_q15x2 ((q15_t *) px);
+
+          /* Read x[9] */
+          x2 = read_q15x2 ((q15_t *) px + 1);
+
+          /* Perform the multiply-accumulate */
+          acc0 = __SMLALDX(x0, c0, acc0);
+          acc1 = __SMLALDX(x1, c0, acc1);
+          acc2 = __SMLALDX(x3, c0, acc2);
+          acc3 = __SMLALDX(x2, c0, acc3);
+
+          c0 = *(py-1);
+#ifdef  ARM_MATH_BIG_ENDIAN
+          c0 = c0 << 16U;
+#else
+          c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef  ARM_MATH_BIG_ENDIAN */
+
+          /* Read x[10] */
+          x3 =  read_q15x2 ((q15_t *) px + 2);
+          px += 3U;
+
+          /* Perform the multiply-accumulates */
+          acc0 = __SMLALDX(x1, c0, acc0);
+          acc1 = __SMLALD (x2, c0, acc1);
+          acc2 = __SMLALDX(x2, c0, acc2);
+          acc3 = __SMLALDX(x3, c0, acc3);
+        }
+
+        /* Store the results in the accumulators in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+        write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+        write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+        write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+        write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+        /* Increment the pointer pIn1 index, count by 4 */
+        count += 4U;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement loop counter */
+        blkCnt--;
+      }
+
+      /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+         No loop unrolling is used. */
+      blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+      while (blkCnt > 0U)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2U;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+           a second loop below computes MACs for the remaining 1 to 3 samples. */
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulates */
+          sum += (q63_t) ((q31_t) *px++ * *py--);
+          sum += (q63_t) ((q31_t) *px++ * *py--);
+          sum += (q63_t) ((q31_t) *px++ * *py--);
+          sum += (q63_t) ((q31_t) *px++ * *py--);
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4U;
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulate */
+          sum += (q63_t) ((q31_t) *px++ * *py--);
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+        /* Increment the pointer pIn1 index, count by 1 */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while (blkCnt > 0U)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulate */
+          sum += (q63_t) ((q31_t) *px++ * *py--);
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------
+     * Initializations of stage3
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+     * ....
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+     * sum +=  x[srcALen-1] * y[srcBLen-1]
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.
+       The count variable holds the number of MAC operations performed */
+    count = srcBLen - 1U;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1U);
+    pIn2 = pSrc2 - 1U;
+    py = pIn2;
+
+    /* -------------------
+     * Stage3 process
+     * ------------------*/
+
+    /* For loop unrolling by 4, this stage is divided into two. */
+    /* First part of this stage computes the MAC operations greater than 4 */
+    /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+    /* The first part of the stage starts here */
+    j = count >> 2U;
+
+    while ((j > 0U) && (blockSize3 > 0U))
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while (k > 0U)
+      {
+        /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied
+         * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+        sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+        /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied
+         * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+        sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* For the next MAC operations, the pointer py is used without SIMD
+       * So, py is incremented by 1 */
+      py = py + 1U;
+
+      /* If the count is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = count % 0x4U;
+
+      while (k > 0U)
+      {
+        /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+        sum = __SMLALD(*px++, *py--, sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pIn2;
+
+      /* Decrement MAC count */
+      count--;
+
+      /* Decrement loop counter */
+      blockSize3--;
+
+      j--;
+    }
+
+    /* The second part of the stage starts here */
+    /* SIMD is not used for the next MAC operations,
+     * so pointer py is updated to read only one sample at a time */
+    py = py + 1U;
+
+    while (blockSize3 > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = count;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum = __SMLALD(*px++, *py--, sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+  const q15_t *pIn1 = pSrcA;                           /* InputA pointer */
+  const q15_t *pIn2 = pSrcB;                           /* InputB pointer */
+        q63_t sum;                                     /* Accumulator */
+        uint32_t i, j;                                 /* Loop counters */
+        arm_status status;                             /* Status of Partial convolution */
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* Loop to calculate convolution for output length number of values */
+    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+    {
+      /* Initialize sum with zero to carry on MAC operations */
+      sum = 0;
+
+      /* Loop to perform MAC operations according to convolution equation */
+      for (j = 0U; j <= i; j++)
+      {
+        /* Check the array limitations */
+        if (((i - j) < srcBLen) && (j < srcALen))
+        {
+          /* z[i] += x[i-j] * y[j] */
+          sum += ((q31_t) pIn1[j] * pIn2[i - j]);
+        }
+      }
+
+      /* Store the output in the destination buffer */
+      pDst[i] = (q15_t) __SSAT((sum >> 15U), 16U);
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+  @} end of PartialConv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c
new file mode 100644
index 0000000..b8042ef
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c
@@ -0,0 +1,634 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_partial_q31.c
+ * Description:  Partial convolution of Q31 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup PartialConv
+  @{
+ */
+
+/**
+  @brief         Partial convolution of Q31 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written
+  @param[in]     firstIndex is the first output sample to start with
+  @param[in]     numPoints  is the number of output points to be computed
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+  @remark
+                   Refer to \ref arm_conv_partial_fast_q31() for a faster but less precise implementation of this function.
+ */
+
+arm_status arm_conv_partial_q31(
+  const q31_t * pSrcA,
+        uint32_t srcALen,
+  const q31_t * pSrcB,
+        uint32_t srcBLen,
+        q31_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+  const q31_t *pIn1;                                   /* InputA pointer */
+  const q31_t *pIn2;                                   /* InputB pointer */
+        q31_t *pOut = pDst;                            /* Output pointer */
+  const q31_t *px;                                     /* Intermediate inputA pointer */
+  const q31_t *py;                                     /* Intermediate inputB pointer */
+  const q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+        q63_t sum;                                     /* Accumulator */
+        uint32_t j, k, count, blkCnt, check;
+        int32_t blockSize1, blockSize2, blockSize3;    /* Loop counters */
+        arm_status status;                             /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q63_t acc0, acc1, acc2;                        /* Accumulator */
+        q31_t x0, x1, x2, c0;                          /* Temporary variables */
+#endif
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if (srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t) numPoints) : 0;
+    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally
+     * divided into three stages according to the number of multiplications that has to be
+     * taken place between inputA samples and inputB samples. In the first stage of the
+     * algorithm, the multiplications increase by one for every iteration.
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.
+     * In the third stage of the algorithm, the multiplications decrease by one
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------
+     * Initializations of stage1
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]
+     * sum = x[0] * y[1] + x[1] * y[0]
+     * ....
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.
+       The count variable holds the number of MAC operations performed.
+       Since the partial convolution starts from firstIndex
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1U + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + firstIndex;
+    py = pSrc2;
+
+    /* ------------------------
+     * Stage1 process
+     * ----------------------*/
+
+    /* The first stage starts here */
+    while (blockSize1 > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      k = count >> 2U;
+
+      while (k > 0U)
+      {
+        /* x[0] * y[srcBLen - 1] */
+        sum += (q63_t) *px++ * (*py--);
+
+        /* x[1] * y[srcBLen - 2] */
+        sum += (q63_t) *px++ * (*py--);
+
+        /* x[2] * y[srcBLen - 3] */
+        sum += (q63_t) *px++ * (*py--);
+
+        /* x[3] * y[srcBLen - 4] */
+        sum += (q63_t) *px++ * (*py--);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = count % 0x4U;
+
+#else
+
+      /* Initialize k with number of samples */
+      k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) *px++ * (*py--);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q31_t) (sum >> 31);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2;
+      px = pIn1;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Decrement loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------
+     * Initializations of stage2
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+     * ....
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+     */
+
+    /* Working pointer of inputA */
+    if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      pSrc1 = pIn1;
+    }
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1U);
+    py = pSrc2;
+
+    /* count is index by which the pointer pIn1 to be incremented */
+    count = 0U;
+
+    /* -------------------
+     * Stage2 process
+     * ------------------*/
+
+    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+     * So, to loop unroll over blockSize2,
+     * srcBLen should be greater than or equal to 4 */
+    if (srcBLen >= 4U)
+    {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unroll over blkCnt */
+      blkCnt = blockSize2 / 3;
+
+      while (blkCnt > 0U)
+      {
+        /* Set all accumulators to zero */
+        acc0 = 0;
+        acc1 = 0;
+        acc2 = 0;
+
+        /* read x[0], x[1] samples */
+        x0 = *px++;
+        x1 = *px++;
+
+        /* Apply loop unrolling and compute 3 MACs simultaneously. */
+        k = srcBLen / 3;
+
+        /* First part of the processing with loop unrolling.  Compute 3 MACs at a time.
+         ** a second loop below computes MACs for the remaining 1 to 2 samples. */
+        do
+        {
+          /* Read y[srcBLen - 1] sample */
+          c0 = *(py);
+
+          /* Read x[2] sample */
+          x2 = *(px);
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[0] * y[srcBLen - 1] */
+          acc0 += (q63_t) x0 * c0;
+          /* acc1 +=  x[1] * y[srcBLen - 1] */
+          acc1 += (q63_t) x1 * c0;
+          /* acc2 +=  x[2] * y[srcBLen - 1] */
+          acc2 += (q63_t) x2 * c0;
+
+          /* Read y[srcBLen - 2] sample */
+          c0 = *(py - 1U);
+
+          /* Read x[3] sample */
+          x0 = *(px + 1U);
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[1] * y[srcBLen - 2] */
+          acc0 += (q63_t) x1 * c0;
+          /* acc1 +=  x[2] * y[srcBLen - 2] */
+          acc1 += (q63_t) x2 * c0;
+          /* acc2 +=  x[3] * y[srcBLen - 2] */
+          acc2 += (q63_t) x0 * c0;
+
+          /* Read y[srcBLen - 3] sample */
+          c0 = *(py - 2U);
+
+          /* Read x[4] sample */
+          x1 = *(px + 2U);
+
+          /* Perform the multiply-accumulate */
+          /* acc0 +=  x[2] * y[srcBLen - 3] */
+          acc0 += (q63_t) x2 * c0;
+          /* acc1 +=  x[3] * y[srcBLen - 2] */
+          acc1 += (q63_t) x0 * c0;
+          /* acc2 +=  x[4] * y[srcBLen - 2] */
+          acc2 += (q63_t) x1 * c0;
+
+
+          px += 3U;
+
+          py -= 3U;
+
+        } while (--k);
+
+        /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        k = srcBLen - (3 * (srcBLen / 3));
+
+        while (k > 0U)
+        {
+          /* Read y[srcBLen - 5] sample */
+          c0 = *py--;
+          /* Read x[7] sample */
+          x2 = *px++;
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[4] * y[srcBLen - 5] */
+          acc0 += (q63_t) x0 * c0;
+          /* acc1 +=  x[5] * y[srcBLen - 5] */
+          acc1 += (q63_t) x1 * c0;
+          /* acc2 +=  x[6] * y[srcBLen - 5] */
+          acc2 += (q63_t) x2 * c0;
+
+          /* Reuse the present samples for the next MAC */
+          x0 = x1;
+          x1 = x2;
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q31_t) (acc0 >> 31);
+        *pOut++ = (q31_t) (acc1 >> 31);
+        *pOut++ = (q31_t) (acc2 >> 31);
+
+        /* Increment the pointer pIn1 index, count by 3 */
+        count += 3U;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement loop counter */
+        blkCnt--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      blkCnt = blockSize2 - 3 * (blockSize2 / 3);
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (blkCnt > 0U)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        /* Loop unrolling: Compute 4 outputs at a time */
+        k = srcBLen >> 2U;
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulates */
+          sum += (q63_t) *px++ * (*py--);
+          sum += (q63_t) *px++ * (*py--);
+          sum += (q63_t) *px++ * (*py--);
+          sum += (q63_t) *px++ * (*py--);
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Loop unrolling: Compute remaining outputs */
+        k = srcBLen % 0x4U;
+
+#else
+
+        /* Initialize blkCnt with number of samples */
+        k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulate */
+          sum += (q63_t) *px++ * *py--;
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q31_t) (sum >> 31);
+
+        /* Increment MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while (blkCnt > 0U)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulate */
+          sum += (q63_t) *px++ * *py--;
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q31_t) (sum >> 31);
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------
+     * Initializations of stage3
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+     * ....
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+     * sum +=  x[srcALen-1] * y[srcBLen-1]
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.
+       The blockSize3 variable holds the number of MAC operations performed */
+    count = srcBLen - 1U;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1U);
+    py = pSrc2;
+
+    /* -------------------
+     * Stage3 process
+     * ------------------*/
+
+    while (blockSize3 > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      k = count >> 2U;
+
+      while (k > 0U)
+      {
+        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+        sum += (q63_t) *px++ * *py--;
+
+        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+        sum += (q63_t) *px++ * *py--;
+
+        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+        sum += (q63_t) *px++ * *py--;
+
+        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+        sum += (q63_t) *px++ * *py--;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = count % 0x4U;
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum += (q63_t) *px++ * *py--;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q31_t) (sum >> 31);
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#else
+/* alternate version for CM0_FAMILY */
+
+  const q31_t *pIn1 = pSrcA;                           /* InputA pointer */
+  const q31_t *pIn2 = pSrcB;                           /* InputB pointer */
+        q63_t sum;                                     /* Accumulator */
+        uint32_t i, j;                                 /* Loop counters */
+        arm_status status;                             /* Status of Partial convolution */
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* Loop to calculate convolution for output length number of values */
+    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+    {
+      /* Initialize sum with zero to carry on MAC operations */
+      sum = 0;
+
+      /* Loop to perform MAC operations according to convolution equation */
+      for (j = 0U; j <= i; j++)
+      {
+        /* Check the array limitations */
+        if (((i - j) < srcBLen) && (j < srcALen))
+        {
+          /* z[i] += x[i-j] * y[j] */
+          sum += ((q63_t) pIn1[j] * pIn2[i - j]);
+        }
+      }
+
+      /* Store the output in the destination buffer */
+      pDst[i] = (q31_t) (sum >> 31U);
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of PartialConv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c
new file mode 100644
index 0000000..882e6c5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c
@@ -0,0 +1,753 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_partial_q7.c
+ * Description:  Partial convolution of Q7 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup PartialConv
+  @{
+ */
+
+/**
+  @brief         Partial convolution of Q7 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written
+  @param[in]     firstIndex is the first output sample to start with
+  @param[in]     numPoints  is the number of output points to be computed
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : requested subset is not in the range [0 srcALen+srcBLen-2]
+
+  @remark
+                   Refer to \ref arm_conv_partial_opt_q7() for a faster implementation of this function.
+ */
+
+arm_status arm_conv_partial_q7(
+  const q7_t * pSrcA,
+        uint32_t srcALen,
+  const q7_t * pSrcB,
+        uint32_t srcBLen,
+        q7_t * pDst,
+        uint32_t firstIndex,
+        uint32_t numPoints)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+  const q7_t *pIn1;                                    /* InputA pointer */
+  const q7_t *pIn2;                                    /* InputB pointer */
+        q7_t *pOut = pDst;                             /* Output pointer */
+  const q7_t *px;                                      /* Intermediate inputA pointer */
+  const q7_t *py;                                      /* Intermediate inputB pointer */
+  const q7_t *pSrc1, *pSrc2;                           /* Intermediate pointers */
+        q31_t sum;                                     /* Accumulator */
+        uint32_t j, k, count, blkCnt, check;           /* Loop counters */
+        int32_t blockSize1, blockSize2, blockSize3;    /* Loop counters */
+        arm_status status;                             /* Status of Partial convolution */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t acc0, acc1, acc2, acc3;                  /* Accumulator */
+        q31_t input1, input2;                          /* Temporary input variables */
+        q15_t in1, in2;                                /* Temporary input variables */
+        q7_t x0, x1, x2, x3, c0, c1;                   /* Temporary variables to hold state and coefficient values */
+#endif
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* The algorithm implementation is based on the lengths of the inputs. */
+    /* srcB is always made to slide across srcA. */
+    /* So srcBLen is always considered as shorter or equal to srcALen */
+    if (srcALen >= srcBLen)
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcA;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcB;
+    }
+    else
+    {
+      /* Initialization of inputA pointer */
+      pIn1 = pSrcB;
+
+      /* Initialization of inputB pointer */
+      pIn2 = pSrcA;
+
+      /* srcBLen is always considered as shorter or equal to srcALen */
+      j = srcBLen;
+      srcBLen = srcALen;
+      srcALen = j;
+    }
+
+    /* Conditions to check which loopCounter holds
+     * the first and last indices of the output samples to be calculated. */
+    check = firstIndex + numPoints;
+    blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0;
+    blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3;
+    blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex;
+    blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : (int32_t) numPoints) : 0;
+    blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + (int32_t) firstIndex);
+    blockSize2 = (blockSize2 > 0) ? blockSize2 : 0;
+
+    /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+    /* The function is internally
+     * divided into three stages according to the number of multiplications that has to be
+     * taken place between inputA samples and inputB samples. In the first stage of the
+     * algorithm, the multiplications increase by one for every iteration.
+     * In the second stage of the algorithm, srcBLen number of multiplications are done.
+     * In the third stage of the algorithm, the multiplications decrease by one
+     * for every iteration. */
+
+    /* Set the output pointer to point to the firstIndex
+     * of the output sample to be calculated. */
+    pOut = pDst + firstIndex;
+
+    /* --------------------------
+     * Initializations of stage1
+     * -------------------------*/
+
+    /* sum = x[0] * y[0]
+     * sum = x[0] * y[1] + x[1] * y[0]
+     * ....
+     * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+     */
+
+    /* In this stage the MAC operations are increased by 1 for every iteration.
+       The count variable holds the number of MAC operations performed.
+       Since the partial convolution starts from firstIndex
+       Number of Macs to be performed is firstIndex + 1 */
+    count = 1U + firstIndex;
+
+    /* Working pointer of inputA */
+    px = pIn1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + firstIndex;
+    py = pSrc2;
+
+    /* ------------------------
+     * Stage1 process
+     * ----------------------*/
+
+    /* The first stage starts here */
+    while (blockSize1 > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      k = count >> 2U;
+
+      while (k > 0U)
+      {
+        /* x[0] , x[1] */
+        in1 = (q15_t) *px++;
+        in2 = (q15_t) *px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* y[srcBLen - 1] , y[srcBLen - 2] */
+        in1 = (q15_t) *py--;
+        in2 = (q15_t) *py--;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* x[0] * y[srcBLen - 1] */
+        /* x[1] * y[srcBLen - 2] */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* x[2] , x[3] */
+        in1 = (q15_t) *px++;
+        in2 = (q15_t) *px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* y[srcBLen - 3] , y[srcBLen - 4] */
+        in1 = (q15_t) *py--;
+        in2 = (q15_t) *py--;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* x[2] * y[srcBLen - 3] */
+        /* x[3] * y[srcBLen - 4] */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = count % 0x4U;
+
+#else
+
+      /* Initialize k with number of samples */
+      k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      py = ++pSrc2;
+      px = pIn1;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Decrement loop counter */
+      blockSize1--;
+    }
+
+    /* --------------------------
+     * Initializations of stage2
+     * ------------------------*/
+
+    /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+     * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+     * ....
+     * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+     */
+
+    /* Working pointer of inputA */
+    if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0)
+    {
+      pSrc1 = pIn1 + firstIndex - srcBLen + 1;
+    }
+    else
+    {
+      pSrc1 = pIn1;
+    }
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1U);
+    py = pSrc2;
+
+    /* count is the index by which the pointer pIn1 to be incremented */
+    count = 0U;
+
+    /* -------------------
+     * Stage2 process
+     * ------------------*/
+
+    /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+     * So, to loop unroll over blockSize2,
+     * srcBLen should be greater than or equal to 4 */
+    if (srcBLen >= 4U)
+    {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      blkCnt = ((uint32_t) blockSize2 >> 2U);
+
+      while (blkCnt > 0U)
+      {
+        /* Set all accumulators to zero */
+        acc0 = 0;
+        acc1 = 0;
+        acc2 = 0;
+        acc3 = 0;
+
+        /* read x[0], x[1], x[2] samples */
+        x0 = *px++;
+        x1 = *px++;
+        x2 = *px++;
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        k = srcBLen >> 2U;
+
+        /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+         ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+        do
+        {
+          /* Read y[srcBLen - 1] sample */
+          c0 = *py--;
+          /* Read y[srcBLen - 2] sample */
+          c1 = *py--;
+
+          /* Read x[3] sample */
+          x3 = *px++;
+
+          /* x[0] and x[1] are packed */
+          in1 = (q15_t) x0;
+          in2 = (q15_t) x1;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* y[srcBLen - 1]   and y[srcBLen - 2] are packed */
+          in1 = (q15_t) c0;
+          in2 = (q15_t) c1;
+
+          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2]  */
+          acc0 = __SMLAD(input1, input2, acc0);
+
+          /* x[1] and x[2] are packed */
+          in1 = (q15_t) x1;
+          in2 = (q15_t) x2;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2]  */
+          acc1 = __SMLAD(input1, input2, acc1);
+
+          /* x[2] and x[3] are packed */
+          in1 = (q15_t) x2;
+          in2 = (q15_t) x3;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2]  */
+          acc2 = __SMLAD(input1, input2, acc2);
+
+          /* Read x[4] sample */
+          x0 = *px++;
+
+          /* x[3] and x[4] are packed */
+          in1 = (q15_t) x3;
+          in2 = (q15_t) x0;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2]  */
+          acc3 = __SMLAD(input1, input2, acc3);
+
+          /* Read y[srcBLen - 3] sample */
+          c0 = *py--;
+          /* Read y[srcBLen - 4] sample */
+          c1 = *py--;
+
+          /* Read x[5] sample */
+          x1 = *px++;
+
+          /* x[2] and x[3] are packed */
+          in1 = (q15_t) x2;
+          in2 = (q15_t) x3;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* y[srcBLen - 3] and y[srcBLen - 4] are packed */
+          in1 = (q15_t) c0;
+          in2 = (q15_t) c1;
+
+          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4]  */
+          acc0 = __SMLAD(input1, input2, acc0);
+
+          /* x[3] and x[4] are packed */
+          in1 = (q15_t) x3;
+          in2 = (q15_t) x0;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4]  */
+          acc1 = __SMLAD(input1, input2, acc1);
+
+          /* x[4] and x[5] are packed */
+          in1 = (q15_t) x0;
+          in2 = (q15_t) x1;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4]  */
+          acc2 = __SMLAD(input1, input2, acc2);
+
+          /* Read x[6] sample */
+          x2 = *px++;
+
+          /* x[5] and x[6] are packed */
+          in1 = (q15_t) x1;
+          in2 = (q15_t) x2;
+
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4]  */
+          acc3 = __SMLAD(input1, input2, acc3);
+
+        } while (--k);
+
+        /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        k = srcBLen % 0x4U;
+
+        while (k > 0U)
+        {
+          /* Read y[srcBLen - 5] sample */
+          c0 = *py--;
+          /* Read x[7] sample */
+          x3 = *px++;
+
+          /* Perform the multiply-accumulates */
+          /* acc0 +=  x[4] * y[srcBLen - 5] */
+          acc0 += ((q31_t) x0 * c0);
+          /* acc1 +=  x[5] * y[srcBLen - 5] */
+          acc1 += ((q31_t) x1 * c0);
+          /* acc2 +=  x[6] * y[srcBLen - 5] */
+          acc2 += ((q31_t) x2 * c0);
+          /* acc3 +=  x[7] * y[srcBLen - 5] */
+          acc3 += ((q31_t) x3 * c0);
+
+          /* Reuse the present samples for the next MAC */
+          x0 = x1;
+          x1 = x2;
+          x2 = x3;
+
+          /* Decrement the loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q7_t) (__SSAT(acc0 >> 7, 8));
+        *pOut++ = (q7_t) (__SSAT(acc1 >> 7, 8));
+        *pOut++ = (q7_t) (__SSAT(acc2 >> 7, 8));
+        *pOut++ = (q7_t) (__SSAT(acc3 >> 7, 8));
+
+        /* Increment the pointer pIn1 index, count by 4 */
+        count += 4U;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement loop counter */
+        blkCnt--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      blkCnt = (uint32_t) blockSize2 % 0x4U;
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (blkCnt > 0U)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        /* Loop unrolling: Compute 4 outputs at a time */
+        k = srcBLen >> 2U;
+
+        while (k > 0U)
+        {
+          /* Reading two inputs of SrcA buffer and packing */
+          in1 = (q15_t) *px++;
+          in2 = (q15_t) *px++;
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* Reading two inputs of SrcB buffer and packing */
+          in1 = (q15_t) *py--;
+          in2 = (q15_t) *py--;
+          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* Perform the multiply-accumulate */
+          sum = __SMLAD(input1, input2, sum);
+
+          /* Reading two inputs of SrcA buffer and packing */
+          in1 = (q15_t) *px++;
+          in2 = (q15_t) *px++;
+          input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* Reading two inputs of SrcB buffer and packing */
+          in1 = (q15_t) *py--;
+          in2 = (q15_t) *py--;
+          input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+          /* Perform the multiply-accumulate */
+          sum = __SMLAD(input1, input2, sum);
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Loop unrolling: Compute remaining outputs */
+        k = srcBLen % 0x4U;
+
+#else
+
+        /* Initialize blkCnt with number of samples */
+        k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulate */
+          sum += ((q31_t) * px++ * *py--);
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+        /* Increment the pointer pIn1 index, count by 1 */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement loop counter */
+        blkCnt--;
+      }
+    }
+    else
+    {
+      /* If the srcBLen is not a multiple of 4,
+       * the blockSize2 loop cannot be unrolled by 4 */
+      blkCnt = (uint32_t) blockSize2;
+
+      while (blkCnt > 0U)
+      {
+        /* Accumulator is made zero for every iteration */
+        sum = 0;
+
+        /* srcBLen number of MACS should be performed */
+        k = srcBLen;
+
+        while (k > 0U)
+        {
+          /* Perform the multiply-accumulate */
+          sum += ((q31_t) * px++ * *py--);
+
+          /* Decrement loop counter */
+          k--;
+        }
+
+        /* Store the result in the accumulator in the destination buffer. */
+        *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+        /* Increment the MAC count */
+        count++;
+
+        /* Update the inputA and inputB pointers for next MAC calculation */
+        px = pSrc1 + count;
+        py = pSrc2;
+
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    }
+
+
+    /* --------------------------
+     * Initializations of stage3
+     * -------------------------*/
+
+    /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+     * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+     * ....
+     * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+     * sum +=  x[srcALen-1] * y[srcBLen-1]
+     */
+
+    /* In this stage the MAC operations are decreased by 1 for every iteration.
+       The count variable holds the number of MAC operations performed */
+    count = srcBLen - 1U;
+
+    /* Working pointer of inputA */
+    pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+    px = pSrc1;
+
+    /* Working pointer of inputB */
+    pSrc2 = pIn2 + (srcBLen - 1U);
+    py = pSrc2;
+
+    /* -------------------
+     * Stage3 process
+     * ------------------*/
+
+    while (blockSize3 > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      k = count >> 2U;
+
+      while (k > 0U)
+      {
+        /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */
+        in1 = (q15_t) *px++;
+        in2 = (q15_t) *px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */
+        in1 = (q15_t) *py--;
+        in2 = (q15_t) *py--;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+        /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */
+        in1 = (q15_t) *px++;
+        in2 = (q15_t) *px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */
+        in1 = (q15_t) *py--;
+        in2 = (q15_t) *py--;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+        /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+        /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = count % 0x4U;
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+        sum += ((q31_t) * px++ * *py--);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(sum >> 7, 8));
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = ++pSrc1;
+      py = pSrc2;
+
+      /* Decrement MAC count */
+      count--;
+
+      /* Decrement the loop counter */
+      blockSize3--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#else
+/* alternate version for CM0_FAMILY */
+
+  const q7_t *pIn1 = pSrcA;                            /* InputA pointer */
+  const q7_t *pIn2 = pSrcB;                            /* InputB pointer */
+        q31_t sum;                                     /* Accumulator */
+        uint32_t i, j;                                 /* Loop counters */
+        arm_status status;                             /* Status of Partial convolution */
+
+  /* Check for range of output samples to be calculated */
+  if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U))))
+  {
+    /* Set status as ARM_MATH_ARGUMENT_ERROR */
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* Loop to calculate convolution for output length number of values */
+    for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++)
+    {
+      /* Initialize sum with zero to carry on MAC operations */
+      sum = 0;
+
+      /* Loop to perform MAC operations according to convolution equation */
+      for (j = 0U; j <= i; j++)
+      {
+        /* Check the array limitations */
+        if (((i - j) < srcBLen) && (j < srcALen))
+        {
+          /* z[i] += x[i-j] * y[j] */
+          sum += ((q15_t) pIn1[j] * (pIn2[i - j]));
+        }
+      }
+
+      /* Store the output in the destination buffer */
+      pDst[i] = (q7_t) __SSAT((sum >> 7U), 8U);
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of PartialConv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c
new file mode 100644
index 0000000..8e37ac7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c
@@ -0,0 +1,696 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_q15.c
+ * Description:  Convolution of Q15 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Conv
+  @{
+ */
+
+/**
+  @brief         Convolution of Q15 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length srcALen+srcBLen-1.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   Both inputs are in 1.15 format and multiplications yield a 2.30 result.
+                   The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+                   This approach provides 33 guard bits and there is no risk of overflow.
+                   The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+
+  @remark
+                   Refer to \ref arm_conv_fast_q15() for a faster but less precise version of this function.
+  @remark
+                   Refer to \ref arm_conv_opt_q15() for a faster implementation of this function using scratch buffers.
+ */
+
+void arm_conv_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst)
+{
+
+#if defined (ARM_MATH_DSP)
+
+  const q15_t *pIn1;                                   /* InputA pointer */
+  const q15_t *pIn2;                                   /* InputB pointer */
+        q15_t *pOut = pDst;                            /* Output pointer */
+        q63_t sum, acc0, acc1, acc2, acc3;             /* Accumulators */
+  const q15_t *px;                                     /* Intermediate inputA pointer */
+  const q15_t *py;                                     /* Intermediate inputB pointer */
+  const q15_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+        q31_t x0, x1, x2, x3, c0;                      /* Temporary input variables to hold state and coefficient values */
+        uint32_t blockSize1, blockSize2, blockSize3;   /* Loop counters */
+        uint32_t j, k, count, blkCnt;                  /* Loop counters */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally
+   * divided into three stages according to the number of multiplications that has to be
+   * taken place between inputA samples and inputB samples. In the first stage of the
+   * algorithm, the multiplications increase by one for every iteration.
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.
+   * In the third stage of the algorithm, the multiplications decrease by one
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1U;
+  blockSize2 = srcALen - (srcBLen - 1U);
+
+  /* --------------------------
+   * Initializations of stage1
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]
+   * sum = x[0] * y[1] + x[1] * y[0]
+   * ....
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = 1U;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* ------------------------
+   * Stage1 process
+   * ----------------------*/
+
+  /* For loop unrolling by 4, this stage is divided into two. */
+  /* First part of this stage computes the MAC operations less than 4 */
+  /* Second part of this stage computes the MAC operations greater than or equal to 4 */
+
+  /* The first part of the stage starts here */
+  while ((count < 4U) && (blockSize1 > 0U))
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Loop over number of MAC operations between
+     * inputA samples and inputB samples */
+    k = count;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulates */
+      sum = __SMLALD(*px++, *py--, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* The second part of the stage starts here */
+  /* The internal loop, over count, is unrolled by 4 */
+  /* To, read the last two inputB samples using SIMD:
+   * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */
+  py = py - 1;
+
+  while (blockSize1 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2U;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */
+      sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+      /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */
+      sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* For the next MAC operations, the pointer py is used without SIMD
+     * So, py is incremented by 1 */
+    py = py + 1U;
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.
+     ** No loop unrolling is used. */
+    k = count % 0x4U;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum = __SMLALD(*px++, *py--, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + (count - 1U);
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------
+   * Initializations of stage2
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0]
+   * ....
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1U);
+  py = pSrc2;
+
+  /* count is the index by which the pointer pIn1 to be incremented */
+  count = 0U;
+
+  /* -------------------
+   * Stage2 process
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+   * So, to loop unroll over blockSize2,
+   * srcBLen should be greater than or equal to 4 */
+  if (srcBLen >= 4U)
+  {
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = blockSize2 >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      py = py - 1U;
+
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1] samples */
+      x0 = read_q15x2 ((q15_t *) px);
+
+      /* read x[1], x[2] samples */
+      x1 = read_q15x2 ((q15_t *) px + 1);
+      px += 2U;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read the last two inputB samples using SIMD:
+         * y[srcBLen - 1] and y[srcBLen - 2] */
+        c0 = read_q15x2_da ((q15_t **) &py);
+
+        /* acc0 +=  x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */
+        acc0 = __SMLALDX(x0, c0, acc0);
+
+        /* acc1 +=  x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */
+        acc1 = __SMLALDX(x1, c0, acc1);
+
+        /* Read x[2], x[3] */
+        x2 = read_q15x2 ((q15_t *) px);
+
+        /* Read x[3], x[4] */
+        x3 = read_q15x2 ((q15_t *) px + 1);
+
+        /* acc2 +=  x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */
+        acc2 = __SMLALDX(x2, c0, acc2);
+
+        /* acc3 +=  x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */
+        acc3 = __SMLALDX(x3, c0, acc3);
+
+        /* Read y[srcBLen - 3] and y[srcBLen - 4] */
+        c0 = read_q15x2_da ((q15_t **) &py);
+
+        /* acc0 +=  x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */
+        acc0 = __SMLALDX(x2, c0, acc0);
+
+        /* acc1 +=  x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */
+        acc1 = __SMLALDX(x3, c0, acc1);
+
+        /* Read x[4], x[5] */
+        x0 = read_q15x2 ((q15_t *) px + 2);
+
+        /* Read x[5], x[6] */
+        x1 = read_q15x2 ((q15_t *) px + 3);
+
+        px += 4U;
+
+        /* acc2 +=  x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */
+        acc2 = __SMLALDX(x0, c0, acc2);
+
+        /* acc3 +=  x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */
+        acc3 = __SMLALDX(x1, c0, acc3);
+
+      } while (--k);
+
+      /* For the next MAC operations, SIMD is not used
+       * So, the 16 bit pointer if inputB, py is updated */
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      if (k == 1U)
+      {
+        /* Read y[srcBLen - 5] */
+        c0 = *(py + 1);
+#ifdef  ARM_MATH_BIG_ENDIAN
+        c0 = c0 << 16U;
+#else
+        c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef  ARM_MATH_BIG_ENDIAN */
+
+        /* Read x[7] */
+        x3 = read_q15x2 ((q15_t *) px);
+        px++;
+
+        /* Perform the multiply-accumulate */
+        acc0 = __SMLALD(x0, c0, acc0);
+        acc1 = __SMLALD(x1, c0, acc1);
+        acc2 = __SMLALDX(x1, c0, acc2);
+        acc3 = __SMLALDX(x3, c0, acc3);
+      }
+
+      if (k == 2U)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+        c0 = read_q15x2 ((q15_t *) py);
+
+        /* Read x[7], x[8] */
+        x3 = read_q15x2 ((q15_t *) px);
+
+        /* Read x[9] */
+        x2 = read_q15x2 ((q15_t *) px + 1);
+        px += 2U;
+
+        /* Perform the multiply-accumulate */
+        acc0 = __SMLALDX(x0, c0, acc0);
+        acc1 = __SMLALDX(x1, c0, acc1);
+        acc2 = __SMLALDX(x3, c0, acc2);
+        acc3 = __SMLALDX(x2, c0, acc3);
+      }
+
+      if (k == 3U)
+      {
+        /* Read y[srcBLen - 5], y[srcBLen - 6] */
+        c0 = read_q15x2 ((q15_t *) py);
+
+        /* Read x[7], x[8] */
+        x3 = read_q15x2 ((q15_t *) px);
+
+        /* Read x[9] */
+        x2 = read_q15x2 ((q15_t *) px + 1);
+
+        /* Perform the multiply-accumulate */
+        acc0 = __SMLALDX(x0, c0, acc0);
+        acc1 = __SMLALDX(x1, c0, acc1);
+        acc2 = __SMLALDX(x3, c0, acc2);
+        acc3 = __SMLALDX(x2, c0, acc3);
+
+        c0 = *(py-1);
+#ifdef  ARM_MATH_BIG_ENDIAN
+        c0 = c0 << 16U;
+#else
+        c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef  ARM_MATH_BIG_ENDIAN */
+
+        /* Read x[10] */
+        x3 =  read_q15x2 ((q15_t *) px + 2);
+        px += 3U;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALDX(x1, c0, acc0);
+        acc1 = __SMLALD(x2, c0, acc1);
+        acc2 = __SMLALDX(x2, c0, acc2);
+        acc3 = __SMLALDX(x3, c0, acc3);
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+#ifndef  ARM_MATH_BIG_ENDIAN
+      write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+      write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+      write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+      write_q15x2_ia (&pOut, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4U;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4U;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum += (q63_t) ((q31_t) *px++ * *py--);
+        sum += (q63_t) ((q31_t) *px++ * *py--);
+        sum += (q63_t) ((q31_t) *px++ * *py--);
+        sum += (q63_t) ((q31_t) *px++ * *py--);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum += (q63_t) ((q31_t) *px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) ((q31_t) *px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q15_t) (__SSAT(sum >> 15, 16));
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------
+   * Initializations of stage3
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+   * ....
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+   * sum +=  x[srcALen-1] * y[srcBLen-1]
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.
+     The blockSize3 variable holds the number of MAC operations performed */
+  blockSize3 = srcBLen - 1U;
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1U);
+  pIn2 = pSrc2 - 1U;
+  py = pIn2;
+
+  /* -------------------
+   * Stage3 process
+   * ------------------*/
+
+  /* For loop unrolling by 4, this stage is divided into two. */
+  /* First part of this stage computes the MAC operations greater than 4 */
+  /* Second part of this stage computes the MAC operations less than or equal to 4 */
+
+  /* The first part of the stage starts here */
+  j = blockSize3 >> 2U;
+
+  while ((j > 0U) && (blockSize3 > 0U))
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3 >> 2U;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied
+       * with y[srcBLen - 1], y[srcBLen - 2] respectively */
+      sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+      /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied
+       * with y[srcBLen - 3], y[srcBLen - 4] respectively */
+      sum = __SMLALDX(read_q15x2_ia ((q15_t **) &px), read_q15x2_da ((q15_t **) &py), sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* For the next MAC operations, the pointer py is used without SIMD
+     * So, py is incremented by 1 */
+    py = py + 1U;
+
+    /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here.
+     ** No loop unrolling is used. */
+    k = blockSize3 % 0x4U;
+
+    while (k > 0U)
+    {
+      /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */
+      sum = __SMLALD(*px++, *py--, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement loop counter */
+    blockSize3--;
+
+    j--;
+  }
+
+  /* The second part of the stage starts here */
+  /* SIMD is not used for the next MAC operations,
+   * so pointer py is updated to read only one sample at a time */
+  py = py + 1U;
+
+  while (blockSize3 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = blockSize3;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulates */
+      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+      sum = __SMLALD(*px++, *py--, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q15_t) (__SSAT((sum >> 15), 16));
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement loop counter */
+    blockSize3--;
+  }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+  const q15_t *pIn1 = pSrcA;                           /* InputA pointer */
+  const q15_t *pIn2 = pSrcB;                           /* InputB pointer */
+        q63_t sum;                                     /* Accumulator */
+        uint32_t i, j;                                 /* Loop counters */
+
+  /* Loop to calculate convolution for output length number of values */
+  for (i = 0; i < (srcALen + srcBLen - 1); i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if (((i - j) < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q31_t) pIn1[j] * pIn2[i - j]);
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = (q15_t) __SSAT((sum >> 15U), 16U);
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+  @} end of Conv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c
new file mode 100644
index 0000000..590819b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c
@@ -0,0 +1,581 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_q31.c
+ * Description:  Convolution of Q31 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Conv
+  @{
+ */
+
+/**
+  @brief         Convolution of Q31 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length srcALen+srcBLen-1.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   There is no saturation on intermediate additions.
+                   Thus, if the accumulator overflows it wraps around and distorts the result.
+                   The input signals should be scaled down to avoid intermediate overflows.
+                   Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows,
+                   as maximum of min(srcALen, srcBLen) number of additions are carried internally.
+                   The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+
+  @remark
+                   Refer to \ref arm_conv_fast_q31() for a faster but less precise implementation of this function.
+ */
+
+void arm_conv_q31(
+  const q31_t * pSrcA,
+        uint32_t srcALen,
+  const q31_t * pSrcB,
+        uint32_t srcBLen,
+        q31_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+  const q31_t *pIn1;                                   /* InputA pointer */
+  const q31_t *pIn2;                                   /* InputB pointer */
+        q31_t *pOut = pDst;                            /* Output pointer */
+  const q31_t *px;                                     /* Intermediate inputA pointer */
+  const q31_t *py;                                     /* Intermediate inputB pointer */
+  const q31_t *pSrc1, *pSrc2;                          /* Intermediate pointers */
+        q63_t sum;                                     /* Accumulators */
+        uint32_t blockSize1, blockSize2, blockSize3;   /* Loop counters */
+        uint32_t j, k, count, blkCnt;                  /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q63_t acc0, acc1, acc2;                        /* Accumulators */
+        q31_t x0, x1, x2, c0;                          /* Temporary variables to hold state and coefficient values */
+#endif
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally
+   * divided into three stages according to the number of multiplications that has to be
+   * taken place between inputA samples and inputB samples. In the first stage of the
+   * algorithm, the multiplications increase by one for every iteration.
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.
+   * In the third stage of the algorithm, the multiplications decrease by one
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1U;
+  blockSize2 = srcALen - (srcBLen - 1U);
+  blockSize3 = blockSize1;
+
+  /* --------------------------
+   * Initializations of stage1
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]
+   * sum = x[0] * y[1] + x[1] * y[0]
+   * ....
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = 1U;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+
+  /* ------------------------
+   * Stage1 process
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while (blockSize1 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = count >> 2U;
+
+    while (k > 0U)
+    {
+      /* x[0] * y[srcBLen - 1] */
+      sum += (q63_t) *px++ * (*py--);
+
+      /* x[1] * y[srcBLen - 2] */
+      sum += (q63_t) *px++ * (*py--);
+
+      /* x[2] * y[srcBLen - 3] */
+      sum += (q63_t) *px++ * (*py--);
+
+      /* x[3] * y[srcBLen - 4] */
+      sum += (q63_t) *px++ * (*py--);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = count % 0x4U;
+
+#else
+
+    /* Initialize k with number of samples */
+    k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum += (q63_t) *px++ * *py--;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q31_t) (sum >> 31);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------
+   * Initializations of stage2
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen]   * y[0]
+   * ....
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1U);
+  py = pSrc2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0U;
+
+  /* -------------------
+   * Stage2 process
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+   * So, to loop unroll over blockSize2,
+   * srcBLen should be greater than or equal to 4 */
+  if (srcBLen >= 4U)
+  {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unroll by 3 */
+    blkCnt = blockSize2 / 3;
+
+    while (blkCnt > 0U)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+
+      /* read x[0], x[1], x[2] samples */
+      x0 = *px++;
+      x1 = *px++;
+
+      /* Apply loop unrolling and compute 3 MACs simultaneously. */
+      k = srcBLen / 3;
+
+      /* First part of the processing with loop unrolling.  Compute 3 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 2 samples. */
+      do
+      {
+        /* Read y[srcBLen - 1] sample */
+        c0 = *(py);
+        /* Read x[3] sample */
+        x2 = *(px);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[0] * y[srcBLen - 1] */
+        acc0 += ((q63_t) x0 * c0);
+        /* acc1 +=  x[1] * y[srcBLen - 1] */
+        acc1 += ((q63_t) x1 * c0);
+        /* acc2 +=  x[2] * y[srcBLen - 1] */
+        acc2 += ((q63_t) x2 * c0);
+
+        /* Read y[srcBLen - 2] sample */
+        c0 = *(py - 1U);
+        /* Read x[4] sample */
+        x0 = *(px + 1U);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[1] * y[srcBLen - 2] */
+        acc0 += ((q63_t) x1 * c0);
+        /* acc1 +=  x[2] * y[srcBLen - 2] */
+        acc1 += ((q63_t) x2 * c0);
+        /* acc2 +=  x[3] * y[srcBLen - 2] */
+        acc2 += ((q63_t) x0 * c0);
+
+        /* Read y[srcBLen - 3] sample */
+        c0 = *(py - 2U);
+        /* Read x[5] sample */
+        x1 = *(px + 2U);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[2] * y[srcBLen - 3] */
+        acc0 += ((q63_t) x2 * c0);
+        /* acc1 +=  x[3] * y[srcBLen - 2] */
+        acc1 += ((q63_t) x0 * c0);
+        /* acc2 +=  x[4] * y[srcBLen - 2] */
+        acc2 += ((q63_t) x1 * c0);
+
+        /* update scratch pointers */
+        px += 3U;
+        py -= 3U;
+
+      } while (--k);
+
+      /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen - (3 * (srcBLen / 3));
+
+      while (k > 0U)
+      {
+        /* Read y[srcBLen - 5] sample */
+        c0 = *py--;
+        /* Read x[7] sample */
+        x2 = *px++;
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[srcBLen - 5] */
+        acc0 += ((q63_t) x0 * c0);
+        /* acc1 +=  x[5] * y[srcBLen - 5] */
+        acc1 += ((q63_t) x1 * c0);
+        /* acc2 +=  x[6] * y[srcBLen - 5] */
+        acc2 += ((q63_t) x2 * c0);
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q31_t) (acc0 >> 31);
+      *pOut++ = (q31_t) (acc1 >> 31);
+      *pOut++ = (q31_t) (acc2 >> 31);
+
+      /* Increment the pointer pIn1 index, count by 3 */
+      count += 3U;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = blockSize2 - 3 * (blockSize2 / 3);
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+      k = srcBLen >> 2U;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum += (q63_t) *px++ * *py--;
+        sum += (q63_t) *px++ * *py--;
+        sum += (q63_t) *px++ * *py--;
+        sum += (q63_t) *px++ * *py--;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = srcBLen % 0x4U;
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) *px++ * *py--;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q31_t) (sum >> 31);
+
+      /* Increment MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) *px++ * *py--;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q31_t) (sum >> 31);
+
+      /* Increment MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------
+   * Initializations of stage3
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+   * ....
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+   * sum +=  x[srcALen-1] * y[srcBLen-1]
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.
+     The blockSize3 variable holds the number of MAC operations performed */
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1U);
+  py = pSrc2;
+
+  /* -------------------
+   * Stage3 process
+   * ------------------*/
+
+  while (blockSize3 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = blockSize3 >> 2U;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+      sum += (q63_t) *px++ * *py--;
+
+      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+      sum += (q63_t) *px++ * *py--;
+
+      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+      sum += (q63_t) *px++ * *py--;
+
+      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+      sum += (q63_t) *px++ * *py--;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = blockSize3 % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    k = blockSize3;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+      sum += (q63_t) *px++ * *py--;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q31_t) (sum >> 31);
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement loop counter */
+    blockSize3--;
+  }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+  const q31_t *pIn1 = pSrcA;                           /* InputA pointer */
+  const q31_t *pIn2 = pSrcB;                           /* InputB pointer */
+        q63_t sum;                                     /* Accumulators */
+        uint32_t i, j;                                 /* Loop counters */
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0U; i < (srcALen + srcBLen - 1U); i++)
+  {
+    /* Initialize sum with zero to carry out MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if (((i - j) < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q63_t) pIn1[j] * pIn2[i - j]);
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = (q31_t) (sum >> 31U);
+  }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of Conv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c
new file mode 100644
index 0000000..f7491cf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c
@@ -0,0 +1,700 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_conv_q7.c
+ * Description:  Convolution of Q7 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Conv
+  @{
+ */
+
+/**
+  @brief         Convolution of Q7 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length srcALen+srcBLen-1.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 32-bit internal accumulator.
+                   Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.
+                   The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+                   This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)<131072</code>.
+                   The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.
+  @remark
+                   Refer to \ref arm_conv_opt_q7() for a faster implementation of this function.
+ */
+
+void arm_conv_q7(
+  const q7_t * pSrcA,
+        uint32_t srcALen,
+  const q7_t * pSrcB,
+        uint32_t srcBLen,
+        q7_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+  const q7_t *pIn1;                                    /* InputA pointer */
+  const q7_t *pIn2;                                    /* InputB pointer */
+        q7_t *pOut = pDst;                             /* Output pointer */
+  const q7_t *px;                                      /* Intermediate inputA pointer */
+  const q7_t *py;                                      /* Intermediate inputB pointer */
+  const q7_t *pSrc1, *pSrc2;                           /* Intermediate pointers */
+        q31_t sum;                                     /* Accumulators */
+        uint32_t blockSize1, blockSize2, blockSize3;   /* Loop counters */
+        uint32_t j, k, count, blkCnt;                  /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
+        q31_t input1, input2;                          /* Temporary input variables */
+        q15_t in1, in2;                                /* Temporary input variables */
+        q7_t x0, x1, x2, x3, c0, c1;                   /* Temporary variables to hold state and coefficient values */
+#endif
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+  }
+
+  /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */
+  /* The function is internally
+   * divided into three stages according to the number of multiplications that has to be
+   * taken place between inputA samples and inputB samples. In the first stage of the
+   * algorithm, the multiplications increase by one for every iteration.
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.
+   * In the third stage of the algorithm, the multiplications decrease by one
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1U;
+  blockSize2 = srcALen - (srcBLen - 1U);
+  blockSize3 = blockSize1;
+
+  /* --------------------------
+   * Initializations of stage1
+   * -------------------------*/
+
+  /* sum = x[0] * y[0]
+   * sum = x[0] * y[1] + x[1] * y[0]
+   * ....
+   * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0]
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = 1U;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+
+  /* ------------------------
+   * Stage1 process
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while (blockSize1 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = count >> 2U;
+
+    while (k > 0U)
+    {
+      /* x[0] , x[1] */
+      in1 = (q15_t) *px++;
+      in2 = (q15_t) *px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+      /* y[srcBLen - 1] , y[srcBLen - 2] */
+      in1 = (q15_t) *py--;
+      in2 = (q15_t) *py--;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+      /* x[0] * y[srcBLen - 1] */
+      /* x[1] * y[srcBLen - 2] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* x[2] , x[3] */
+      in1 = (q15_t) *px++;
+      in2 = (q15_t) *px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+      /* y[srcBLen - 3] , y[srcBLen - 4] */
+      in1 = (q15_t) *py--;
+      in2 = (q15_t) *py--;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+      /* x[2] * y[srcBLen - 3] */
+      /* x[3] * y[srcBLen - 4] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = count % 0x4U;
+
+#else
+
+    /* Initialize k with number of samples */
+    k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum += ((q15_t) *px++ * *py--);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8));
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pIn2 + count;
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------
+   * Initializations of stage2
+   * ------------------------*/
+
+  /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0]
+   * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen]   * y[0]
+   * ....
+   * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0]
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1U);
+  py = pSrc2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0U;
+
+  /* -------------------
+   * Stage2 process
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+   * So, to loop unroll over blockSize2,
+   * srcBLen should be greater than or equal to 4 */
+  if (srcBLen >= 4U)
+  {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = blockSize2 >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1], x[2] samples */
+      x0 = *px++;
+      x1 = *px++;
+      x2 = *px++;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read y[srcBLen - 1] sample */
+        c0 = *py--;
+        /* Read y[srcBLen - 2] sample */
+        c1 = *py--;
+
+        /* Read x[3] sample */
+        x3 = *px++;
+
+        /* x[0] and x[1] are packed */
+        in1 = (q15_t) x0;
+        in2 = (q15_t) x1;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* y[srcBLen - 1]   and y[srcBLen - 2] are packed */
+        in1 = (q15_t) c0;
+        in2 = (q15_t) c1;
+
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2]  */
+        acc0 = __SMLAD(input1, input2, acc0);
+
+        /* x[1] and x[2] are packed */
+        in1 = (q15_t) x1;
+        in2 = (q15_t) x2;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2]  */
+        acc1 = __SMLAD(input1, input2, acc1);
+
+        /* x[2] and x[3] are packed */
+        in1 = (q15_t) x2;
+        in2 = (q15_t) x3;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2]  */
+        acc2 = __SMLAD(input1, input2, acc2);
+
+        /* Read x[4] sample */
+        x0 = *px++;
+
+        /* x[3] and x[4] are packed */
+        in1 = (q15_t) x3;
+        in2 = (q15_t) x0;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2]  */
+        acc3 = __SMLAD(input1, input2, acc3);
+
+        /* Read y[srcBLen - 3] sample */
+        c0 = *py--;
+        /* Read y[srcBLen - 4] sample */
+        c1 = *py--;
+
+        /* Read x[5] sample */
+        x1 = *px++;
+
+        /* x[2] and x[3] are packed */
+        in1 = (q15_t) x2;
+        in2 = (q15_t) x3;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* y[srcBLen - 3] and y[srcBLen - 4] are packed */
+        in1 = (q15_t) c0;
+        in2 = (q15_t) c1;
+
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4]  */
+        acc0 = __SMLAD(input1, input2, acc0);
+
+        /* x[3] and x[4] are packed */
+        in1 = (q15_t) x3;
+        in2 = (q15_t) x0;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4]  */
+        acc1 = __SMLAD(input1, input2, acc1);
+
+        /* x[4] and x[5] are packed */
+        in1 = (q15_t) x0;
+        in2 = (q15_t) x1;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4]  */
+        acc2 = __SMLAD(input1, input2, acc2);
+
+        /* Read x[6] sample */
+        x2 = *px++;
+
+        /* x[5] and x[6] are packed */
+        in1 = (q15_t) x1;
+        in2 = (q15_t) x2;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4]  */
+        acc3 = __SMLAD(input1, input2, acc3);
+
+      } while (--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Read y[srcBLen - 5] sample */
+        c0 = *py--;
+        /* Read x[7] sample */
+        x3 = *px++;
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[srcBLen - 5] */
+        acc0 += ((q15_t) x0 * c0);
+        /* acc1 +=  x[5] * y[srcBLen - 5] */
+        acc1 += ((q15_t) x1 * c0);
+        /* acc2 +=  x[6] * y[srcBLen - 5] */
+        acc2 += ((q15_t) x2 * c0);
+        /* acc3 +=  x[7] * y[srcBLen - 5] */
+        acc3 += ((q15_t) x3 * c0);
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8));
+      *pOut++ = (q7_t) (__SSAT(acc1 >> 7U, 8));
+      *pOut++ = (q7_t) (__SSAT(acc2 >> 7U, 8));
+      *pOut++ = (q7_t) (__SSAT(acc3 >> 7U, 8));
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4U;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = blockSize2 % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+      k = srcBLen >> 2U;
+
+      while (k > 0U)
+      {
+
+        /* Reading two inputs of SrcA buffer and packing */
+        in1 = (q15_t) *px++;
+        in2 = (q15_t) *px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* Reading two inputs of SrcB buffer and packing */
+        in1 = (q15_t) *py--;
+        in2 = (q15_t) *py--;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* Perform the multiply-accumulate */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Reading two inputs of SrcA buffer and packing */
+        in1 = (q15_t) *px++;
+        in2 = (q15_t) *px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* Reading two inputs of SrcB buffer and packing */
+        in1 = (q15_t) *py--;
+        in2 = (q15_t) *py--;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* Perform the multiply-accumulate */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = srcBLen % 0x4U;
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q15_t) *px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8));
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q15_t) *px++ * *py--);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8));
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pSrc2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------
+   * Initializations of stage3
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1]
+   * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2]
+   * ....
+   * sum +=  x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2]
+   * sum +=  x[srcALen-1] * y[srcBLen-1]
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.
+     The blockSize3 variable holds the number of MAC operations performed */
+
+  /* Working pointer of inputA */
+  pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  pSrc2 = pIn2 + (srcBLen - 1U);
+  py = pSrc2;
+
+  /* -------------------
+   * Stage3 process
+   * ------------------*/
+
+  while (blockSize3 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = blockSize3 >> 2U;
+
+    while (k > 0U)
+    {
+      /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */
+      in1 = (q15_t) *px++;
+      in2 = (q15_t) *px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+      /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */
+      in1 = (q15_t) *py--;
+      in2 = (q15_t) *py--;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+      /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */
+      /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */
+      in1 = (q15_t) *px++;
+      in2 = (q15_t) *px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+      /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */
+      in1 = (q15_t) *py--;
+      in2 = (q15_t) *py--;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+      /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */
+      /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = blockSize3 % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    k = blockSize3;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* sum +=  x[srcALen-1] * y[srcBLen-1] */
+      sum += ((q15_t) *px++ * *py--);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8));
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pSrc2;
+
+    /* Decrement loop counter */
+    blockSize3--;
+  }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+  const q7_t *pIn1 = pSrcA;                            /* InputA pointer */
+  const q7_t *pIn2 = pSrcB;                            /* InputB pointer */
+        q31_t sum;                                     /* Accumulator */
+        uint32_t i, j;                                 /* Loop counters */
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0U; i < (srcALen + srcBLen - 1U); i++)
+  {
+    /* Initialize sum with zero to carry out MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if (((i - j) < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q15_t) pIn1[j] * pIn2[i - j]);
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    pDst[i] = (q7_t) __SSAT((sum >> 7U), 8U);
+  }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of Conv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c
new file mode 100644
index 0000000..9aa648b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c
@@ -0,0 +1,893 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_correlate_f32.c
+ * Description:  Correlation of floating-point sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @defgroup Corr Correlation
+
+  Correlation is a mathematical operation that is similar to convolution.
+  As with convolution, correlation uses two signals to produce a third signal.
+  The underlying algorithms in correlation and convolution are identical except that one of the inputs is flipped in convolution.
+  Correlation is commonly used to measure the similarity between two signals.
+  It has applications in pattern recognition, cryptanalysis, and searching.
+  The CMSIS library provides correlation functions for Q7, Q15, Q31 and floating-point data types.
+  Fast versions of the Q15 and Q31 functions are also provided.
+
+  @par           Algorithm
+                   Let <code>a[n]</code> and <code>b[n]</code> be sequences of length <code>srcALen</code> and <code>srcBLen</code> samples respectively.
+                   The convolution of the two signals is denoted by
+  <pre>
+      c[n] = a[n] * b[n]
+  </pre>
+                   In correlation, one of the signals is flipped in time
+  <pre>
+       c[n] = a[n] * b[-n]
+  </pre>
+  @par
+                   and this is mathematically defined as
+                   \image html CorrelateEquation.gif
+  @par
+                   The <code>pSrcA</code> points to the first input vector of length <code>srcALen</code> and <code>pSrcB</code> points to the second input vector of length <code>srcBLen</code>.
+                   The result <code>c[n]</code> is of length <code>2 * max(srcALen, srcBLen) - 1</code> and is defined over the interval <code>n=0, 1, 2, ..., (2 * max(srcALen, srcBLen) - 2)</code>.
+                   The output result is written to <code>pDst</code> and the calling function must allocate <code>2 * max(srcALen, srcBLen) - 1</code> words for the result.
+
+  @note
+                   The <code>pDst</code> should be initialized to all zeros before being used.
+
+  @par           Fixed-Point Behavior
+                   Correlation requires summing up a large number of intermediate products.
+                   As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation.
+                   Refer to the function specific documentation below for further details of the particular algorithm used.
+
+  @par           Fast Versions
+                   Fast versions are supported for Q31 and Q15.  Cycles for Fast versions are less compared to Q31 and Q15 of correlate and the design requires
+                   the input signals should be scaled down to avoid intermediate overflows.
+
+  @par           Opt Versions
+                   Opt versions are supported for Q15 and Q7.  Design uses internal scratch buffer for getting good optimisation.
+                   These versions are optimised in cycles and consumes more memory (Scratch memory) compared to Q15 and Q7 versions of correlate
+ */
+
+/**
+  @addtogroup Corr
+  @{
+ */
+
+/**
+  @brief         Correlation of floating-point sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.
+  @return        none
+ */
+
+void arm_correlate_f32(
+  const float32_t * pSrcA,
+        uint32_t srcALen,
+  const float32_t * pSrcB,
+        uint32_t srcBLen,
+        float32_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+  
+  const float32_t *pIn1;                               /* InputA pointer */
+  const float32_t *pIn2;                               /* InputB pointer */
+        float32_t *pOut = pDst;                        /* Output pointer */
+  const float32_t *px;                                 /* Intermediate inputA pointer */
+  const float32_t *py;                                 /* Intermediate inputB pointer */
+  const float32_t *pSrc1;
+        float32_t sum;
+        uint32_t blockSize1, blockSize2, blockSize3;   /* Loop counters */
+        uint32_t j, k, count, blkCnt;                  /* Loop counters */
+        uint32_t outBlockSize;                         /* Loop counter */
+        int32_t inc = 1;                               /* Destination address modifier */
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined (ARM_MATH_NEON)
+  float32_t acc0, acc1, acc2, acc3;                    /* Accumulators */
+  float32_t x0, x1, x2, x3, c0;                        /* temporary variables for holding input and coefficient values */
+#endif
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,
+   * we assume zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2U * srcALen) - 1U;
+
+    /* When srcALen > srcBLen, zero padding has to be done to srcB
+     * to make their lengths equal.
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+  }
+
+  /* The function is internally
+   * divided into three stages according to the number of multiplications that has to be
+   * taken place between inputA samples and inputB samples. In the first stage of the
+   * algorithm, the multiplications increase by one for every iteration.
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.
+   * In the third stage of the algorithm, the multiplications decrease by one
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1U;
+  blockSize2 = srcALen - (srcBLen - 1U);
+  blockSize3 = blockSize1;
+
+  /* --------------------------
+   * Initializations of stage1
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]
+   * sum = x[0] * y[srcBlen-2] + x[1] * y[srcBlen - 1]
+   * ....
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = 1U;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1U);
+  py = pSrc1;
+
+  /* ------------------------
+   * Stage1 process
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while (blockSize1 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = count >> 2U;
+
+#if defined(ARM_MATH_NEON)
+    float32x4_t x,y;
+    float32x4_t res = vdupq_n_f32(0) ;
+    float32x2_t accum = vdup_n_f32(0);
+
+    while (k > 0U)
+    {
+      x = vld1q_f32(px);
+      y = vld1q_f32(py);
+
+      res = vmlaq_f32(res,x, y);
+
+      px += 4;
+      py += 4;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res));
+    sum += accum[0] + accum[1];
+
+    k = count & 0x3;
+#else
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* x[0] * y[srcBLen - 4] */
+      sum += *px++ * *py++;
+
+      /* x[1] * y[srcBLen - 3] */
+      sum += *px++ * *py++;
+
+      /* x[2] * y[srcBLen - 2] */
+      sum += *px++ * *py++;
+
+      /* x[3] * y[srcBLen - 1] */
+      sum += *px++ * *py++;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = count % 0x4U;
+
+#endif /* #if defined(ARM_MATH_NEON) */
+#else
+
+    /* Initialize k with number of samples */
+    k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* x[0] * y[srcBLen - 1] */
+      sum += *px++ * *py++;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = sum;
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------
+   * Initializations of stage2
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen]   * y[srcBLen-1]
+   * ....
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0U;
+
+  /* -------------------
+   * Stage2 process
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+   * So, to loop unroll over blockSize2,
+   * srcBLen should be greater than or equal to 4 */
+  if (srcBLen >= 4U)
+  {
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = blockSize2 >> 2U;
+
+#if defined(ARM_MATH_NEON)
+      float32x4_t c;
+      float32x4_t x1v;
+      float32x4_t x2v;
+      uint32x4_t x1v_u;
+      uint32x4_t x2v_u;
+      float32x4_t x;
+      uint32x4_t x_u;
+      float32x4_t res = vdupq_n_f32(0) ;
+#endif /* #if defined(ARM_MATH_NEON) */
+
+    while (blkCnt > 0U)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0.0f;
+      acc1 = 0.0f;
+      acc2 = 0.0f;
+      acc3 = 0.0f;
+
+#if defined(ARM_MATH_NEON)
+      /* Compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      res = vdupq_n_f32(0) ;
+
+      x1v = vld1q_f32(px);
+      px += 4;
+      do
+      {
+        x2v = vld1q_f32(px);
+        c = vld1q_f32(py);
+
+        py += 4;
+
+        x = x1v;
+        res = vmlaq_n_f32(res,x,c[0]);
+
+        x = vextq_f32(x1v,x2v,1);
+
+        res = vmlaq_n_f32(res,x,c[1]);
+
+        x = vextq_f32(x1v,x2v,2);
+
+	res = vmlaq_n_f32(res,x,c[2]);
+
+        x = vextq_f32(x1v,x2v,3);
+
+	res = vmlaq_n_f32(res,x,c[3]);
+
+        x1v = x2v;
+        px+=4;
+        x2v = vld1q_f32(px);
+
+      } while (--k);
+      
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen & 0x3;
+
+      while (k > 0U)
+      {
+        /* Read y[srcBLen - 5] sample */
+        c0 = *(py++);
+
+        res = vmlaq_n_f32(res,x1v,c0);
+
+        /* Reuse the present samples for the next MAC */
+        x1v[0] = x1v[1];
+        x1v[1] = x1v[2];
+        x1v[2] = x1v[3];
+
+        x1v[3] = *(px++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      px-=1;
+
+      acc0 = res[0];
+      acc1 = res[1];
+      acc2 = res[2];
+      acc3 = res[3];
+#else
+      /* read x[0], x[1], x[2] samples */
+      x0 = *px++;
+      x1 = *px++;
+      x2 = *px++;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read y[0] sample */
+        c0 = *(py++);
+        /* Read x[3] sample */
+        x3 = *(px++);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[0] * y[0] */
+        acc0 += x0 * c0;
+        /* acc1 +=  x[1] * y[0] */
+        acc1 += x1 * c0;
+        /* acc2 +=  x[2] * y[0] */
+        acc2 += x2 * c0;
+        /* acc3 +=  x[3] * y[0] */
+        acc3 += x3 * c0;
+
+        /* Read y[1] sample */
+        c0 = *(py++);
+        /* Read x[4] sample */
+        x0 = *(px++);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[1] * y[1] */
+        acc0 += x1 * c0;
+        /* acc1 +=  x[2] * y[1] */
+        acc1 += x2 * c0;
+        /* acc2 +=  x[3] * y[1] */
+        acc2 += x3 * c0;
+        /* acc3 +=  x[4] * y[1] */
+        acc3 += x0 * c0;
+
+        /* Read y[2] sample */
+        c0 = *(py++);
+        /* Read x[5] sample */
+        x1 = *(px++);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[2] * y[2] */
+        acc0 += x2 * c0;
+        /* acc1 +=  x[3] * y[2] */
+        acc1 += x3 * c0;
+        /* acc2 +=  x[4] * y[2] */
+        acc2 += x0 * c0;
+        /* acc3 +=  x[5] * y[2] */
+        acc3 += x1 * c0;
+
+        /* Read y[3] sample */
+        c0 = *(py++);
+        /* Read x[6] sample */
+        x2 = *(px++);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[3] * y[3] */
+        acc0 += x3 * c0;
+        /* acc1 +=  x[4] * y[3] */
+        acc1 += x0 * c0;
+        /* acc2 +=  x[5] * y[3] */
+        acc2 += x1 * c0;
+        /* acc3 +=  x[6] * y[3] */
+        acc3 += x2 * c0;
+
+      } while (--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Read y[4] sample */
+        c0 = *(py++);
+        /* Read x[7] sample */
+        x3 = *(px++);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[4] * y[4] */
+        acc0 += x0 * c0;
+        /* acc1 +=  x[5] * y[4] */
+        acc1 += x1 * c0;
+        /* acc2 +=  x[6] * y[4] */
+        acc2 += x2 * c0;
+        /* acc3 +=  x[7] * y[4] */
+        acc3 += x3 * c0;
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+#endif /* #if defined(ARM_MATH_NEON) */
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = acc0;
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = acc1;
+      pOut += inc;
+
+      *pOut = acc2;
+      pOut += inc;
+
+      *pOut = acc3;
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4U;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = blockSize2 % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+      k = srcBLen >> 2U;
+
+#if defined(ARM_MATH_NEON)
+    float32x4_t x,y;
+    float32x4_t res = vdupq_n_f32(0) ;
+    float32x2_t accum = vdup_n_f32(0);
+
+    while (k > 0U)
+    {
+      x = vld1q_f32(px);
+      y = vld1q_f32(py);
+
+      res = vmlaq_f32(res,x, y);
+
+      px += 4;
+      py += 4;
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res));
+    sum += accum[0] + accum[1];
+#else
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *px++ * *py++;
+        sum += *px++ * *py++;
+        sum += *px++ * *py++;
+        sum += *px++ * *py++;
+
+        /* Decrement loop counter */
+        k--;
+      }
+#endif /* #if defined(ARM_MATH_NEON) */
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+#else
+
+      /* Initialize blkCnt with number of samples */
+      k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *px++ * *py++;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = sum;
+
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0.0f;
+
+      /* Loop over srcBLen */
+      k = srcBLen;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += *px++ * *py++;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = sum;
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------
+   * Initializations of stage3
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   * ....
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+   * sum +=  x[srcALen-1] * y[0]
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1U;
+
+  /* Working pointer of inputA */
+  pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------
+   * Stage3 process
+   * ------------------*/
+
+  while (blockSize3 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = count >> 2U;
+
+#if defined(ARM_MATH_NEON)
+    float32x4_t x,y;
+    float32x4_t res = vdupq_n_f32(0) ;
+    float32x2_t accum = vdup_n_f32(0);
+
+    while (k > 0U)
+    {
+      x = vld1q_f32(px);
+      y = vld1q_f32(py);
+
+      res = vmlaq_f32(res,x, y);
+
+      px += 4;
+      py += 4;
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    accum = vpadd_f32(vget_low_f32(res), vget_high_f32(res));
+    sum += accum[0] + accum[1];
+#else
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* sum += x[srcALen - srcBLen + 4] * y[3] */
+      sum += *px++ * *py++;
+
+      /* sum += x[srcALen - srcBLen + 3] * y[2] */
+      sum += *px++ * *py++;
+
+      /* sum += x[srcALen - srcBLen + 2] * y[1] */
+      sum += *px++ * *py++;
+
+      /* sum += x[srcALen - srcBLen + 1] * y[0] */
+      sum += *px++ * *py++;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+#endif /* #if defined (ARM_MATH_NEON) */
+    /* Loop unrolling: Compute remaining outputs */
+    k = count % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) || defined(ARM_MATH_NEON) */
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum += *px++ * *py++;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = sum;
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement MAC count */
+    count--;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+  const float32_t *pIn1 = pSrcA;                       /* inputA pointer */
+  const float32_t *pIn2 = pSrcB + (srcBLen - 1U);      /* inputB pointer */
+        float32_t sum;                                 /* Accumulator */
+        uint32_t i = 0U, j;                            /* Loop counters */
+        uint32_t inv = 0U;                             /* Reverse order flag */
+        uint32_t tot = 0U;                             /* Length */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and a varaible, inv is set to 1 */
+  /* If lengths are not equal then zero pad has to be done to  make the two
+   * inputs of same length. But to improve the performance, we assume zeroes
+   * in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+   * starting of the output buffer */
+  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+   * ending of the output buffer */
+  /* Once the zero padding is done the remaining of the output is calcualted
+   * using convolution but with the shorter signal time shifted. */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2U);
+
+  if (srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if (srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1U);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+
+  }
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0U; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry out MAC operations */
+    sum = 0.0f;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if ((((i - j) < srcBLen) && (j < srcALen)))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += pIn1[j] * pIn2[-((int32_t) i - j)];
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    if (inv == 1)
+      *pDst-- = sum;
+    else
+      *pDst++ = sum;
+  }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of Corr group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
new file mode 100644
index 0000000..31fc680
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
@@ -0,0 +1,345 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_correlate_fast_opt_q15.c
+ * Description:  Fast Q15 Correlation
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Corr
+  @{
+ */
+
+/**
+  @brief         Correlation of Q15 sequences (fast version).
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence.
+  @param[out]    pDst       points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.
+  @param[in]     pScratch   points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   This fast version uses a 32-bit accumulator with 2.30 format.
+                   The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   There is no saturation on intermediate additions.
+                   Thus, if the accumulator overflows it wraps around and distorts the result.
+                   The input signals should be scaled down to avoid intermediate overflows.
+                   Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a
+                   maximum of min(srcALen, srcBLen) number of additions is carried internally.
+                   The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.
+
+  @remark
+                   Refer to \ref arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
+ */
+
+void arm_correlate_fast_opt_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        q15_t * pScratch)
+{
+  const q15_t *pIn1;                                   /* InputA pointer */
+  const q15_t *pIn2;                                   /* InputB pointer */
+        q31_t acc0;                                    /* Accumulators */
+        q15_t *pOut = pDst;                            /* Output pointer */
+        q15_t *pScr1 = pScratch;                       /* Temporary pointer for scratch */
+  const q15_t *py;                                     /* Intermediate inputB pointer */
+        uint32_t j, blkCnt, outBlockSize;              /* Loop counter */
+        int32_t inc = 1;                               /* Destination address modifier */
+        uint32_t tapCnt;                               /* Loop count */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t acc1, acc2, acc3;                        /* Accumulators */
+        q31_t x1, x2, x3;                              /* Temporary variables for holding input and coefficient values */
+        q31_t y1, y2;                                  /* State variables */
+#endif
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2U * srcALen) - 1U;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB
+     * to make their lengths equal.
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+  }
+
+  pScr1 = pScratch;
+
+  /* Fill (srcBLen - 1U) zeros in scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+  /* Update temporary scratch pointer */
+  pScr1 += (srcBLen - 1U);
+
+
+  /* Copy (srcALen) samples in scratch buffer */
+  arm_copy_q15(pIn1, pScr1, srcALen);
+
+  /* Update pointers */
+  pScr1 += srcALen;
+
+
+  /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+  /* Update pointer */
+  pScr1 += (srcBLen - 1U);
+
+  /* Temporary pointer for scratch2 */
+  py = pIn2;
+
+
+  /* Actual correlation process starts here */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = (srcALen + srcBLen - 1U) >> 2;
+
+  while (blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Read two samples from scratch buffer */
+    x1 = read_q15x2_ia (&pScr1);
+
+    /* Read next two samples from scratch buffer */
+    x2 = read_q15x2_ia (&pScr1);
+
+    tapCnt = (srcBLen) >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read four samples from smaller buffer */
+      y1 = read_q15x2_ia ((q15_t **) &pIn2);
+      y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+      /* multiply and accumlate */
+      acc0 = __SMLAD(x1, y1, acc0);
+      acc2 = __SMLAD(x2, y1, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      /* multiply and accumlate */
+      acc1 = __SMLADX(x3, y1, acc1);
+
+      /* Read next two samples from scratch buffer */
+      x1 = read_q15x2_ia (&pScr1);
+
+      /* multiply and accumlate */
+      acc0 = __SMLAD(x2, y2, acc0);
+      acc2 = __SMLAD(x1, y2, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+      acc1 = __SMLADX(x3, y2, acc1);
+
+      x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y2, acc3);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Update scratch pointer for remaining samples of smaller length sequence */
+    pScr1 -= 4U;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    tapCnt = (srcBLen) & 3U;
+
+    while (tapCnt > 0U)
+    {
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pIn2);
+      acc1 += (*pScr1++ * *pIn2);
+      acc2 += (*pScr1++ * *pIn2);
+      acc3 += (*pScr1++ * *pIn2++);
+
+      pScr1 -= 3U;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the results in the accumulators in the destination buffer. */
+    *pOut = (__SSAT(acc0 >> 15U, 16));
+    pOut += inc;
+    *pOut = (__SSAT(acc1 >> 15U, 16));
+    pOut += inc;
+    *pOut = (__SSAT(acc2 >> 15U, 16));
+    pOut += inc;
+    *pOut = (__SSAT(acc3 >> 15U, 16));
+    pOut += inc;
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch += 4U;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = (srcALen + srcBLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Calculate correlation for remaining samples of Bigger length sequence */
+  while (blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+
+    tapCnt = (srcBLen) >> 1U;
+
+    while (tapCnt > 0U)
+    {
+
+      /* Read next two samples from scratch buffer */
+      acc0 += (*pScr1++ * *pIn2++);
+      acc0 += (*pScr1++ * *pIn2++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    tapCnt = (srcBLen) & 1U;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    while (tapCnt > 0U)
+    {
+
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pIn2++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* The result is in 2.30 format.  Convert to 1.15 with saturation.
+     ** Then store the output in the destination buffer. */
+    *pOut = (q15_t) (__SSAT((acc0 >> 15), 16));
+    pOut += inc;
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch += 1U;
+  }
+
+}
+
+/**
+  @} end of Corr group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c
new file mode 100644
index 0000000..0c0f12a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c
@@ -0,0 +1,614 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_correlate_fast_q15.c
+ * Description:  Fast Q15 Correlation
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Corr
+  @{
+ */
+
+/**
+  @brief         Correlation of Q15 sequences (fast version).
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   This fast version uses a 32-bit accumulator with 2.30 format.
+                   The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   There is no saturation on intermediate additions.
+                   Thus, if the accumulator overflows it wraps around and distorts the result.
+                   The input signals should be scaled down to avoid intermediate overflows.
+                   Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a
+                   maximum of min(srcALen, srcBLen) number of additions is carried internally.
+                   The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result.
+
+  @remark
+                   Refer to \ref arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion.
+ */
+
+void arm_correlate_fast_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst)
+{
+  const q15_t *pIn1;                                   /* InputA pointer */
+  const q15_t *pIn2;                                   /* InputB pointer */
+        q15_t *pOut = pDst;                            /* Output pointer */
+        q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators */
+  const q15_t *px;                                     /* Intermediate inputA pointer */
+  const q15_t *py;                                     /* Intermediate inputB pointer */
+  const q15_t *pSrc1;                                  /* Intermediate pointers */
+        q31_t x0, x1, x2, x3, c0;                      /* Temporary variables for holding input and coefficient values */
+        uint32_t blockSize1, blockSize2, blockSize3;   /* Loop counters */
+        uint32_t j, k, count, blkCnt;                  /* Loop counters */
+        uint32_t outBlockSize;
+        int32_t inc = 1;                               /* Destination address modifier */
+
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2U * srcALen) - 1U;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB
+     * to make their lengths equal.
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+
+  }
+
+  /* The function is internally
+   * divided into three stages according to the number of multiplications that has to be
+   * taken place between inputA samples and inputB samples. In the first stage of the
+   * algorithm, the multiplications increase by one for every iteration.
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.
+   * In the third stage of the algorithm, the multiplications decrease by one
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1U;
+  blockSize2 = srcALen - (srcBLen - 1U);
+  blockSize3 = blockSize1;
+
+  /* --------------------------
+   * Initializations of stage1
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]
+   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+   * ....
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = 1U;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1U);
+  py = pSrc1;
+
+  /* ------------------------
+   * Stage1 process
+   * ----------------------*/
+
+  /* The first loop starts here */
+  while (blockSize1 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2U;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
+      sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+      /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
+      sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.
+       No loop unrolling is used. */
+    k = count % 0x4U;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulates */
+      /* x[0] * y[srcBLen - 1] */
+      sum = __SMLAD(*px++, *py++, sum);
+
+      /* Decrement the loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q15_t) (sum >> 15);
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------
+   * Initializations of stage2
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+   * ....
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is the index by which the pointer pIn1 to be incremented */
+  count = 0U;
+
+  /* --------------------
+   * Stage2 process
+   * -------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+   * So, to loop unroll over blockSize2,
+   * srcBLen should be greater than or equal to 4 */
+  if (srcBLen >= 4U)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1] samples */
+      x0 = read_q15x2 ((q15_t *) px);
+      /* read x[1], x[2] samples */
+      x1 = read_q15x2 ((q15_t *) px + 1);
+	  px += 2U;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read the first two inputB samples using SIMD:
+         * y[0] and y[1] */
+        c0 = read_q15x2_ia ((q15_t **) &py);
+
+        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
+        acc0 = __SMLAD(x0, c0, acc0);
+
+        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
+        acc1 = __SMLAD(x1, c0, acc1);
+
+        /* Read x[2], x[3] */
+        x2 = read_q15x2 ((q15_t *) px);
+
+        /* Read x[3], x[4] */
+        x3 = read_q15x2 ((q15_t *) px + 1);
+
+        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
+        acc2 = __SMLAD(x2, c0, acc2);
+
+        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
+        acc3 = __SMLAD(x3, c0, acc3);
+
+        /* Read y[2] and y[3] */
+        c0 = read_q15x2_ia ((q15_t **) &py);
+
+        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
+        acc0 = __SMLAD(x2, c0, acc0);
+
+        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
+        acc1 = __SMLAD(x3, c0, acc1);
+
+        /* Read x[4], x[5] */
+        x0 = read_q15x2 ((q15_t *) px + 2);
+
+        /* Read x[5], x[6] */
+        x1 = read_q15x2 ((q15_t *) px + 3);
+		px += 4U;
+
+        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
+        acc2 = __SMLAD(x0, c0, acc2);
+
+        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
+        acc3 = __SMLAD(x1, c0, acc3);
+
+      } while (--k);
+
+      /* For the next MAC operations, SIMD is not used
+       * So, the 16 bit pointer if inputB, py is updated */
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      if (k == 1U)
+      {
+        /* Read y[4] */
+        c0 = *py;
+
+#ifdef  ARM_MATH_BIG_ENDIAN
+        c0 = c0 << 16U;
+#else
+        c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef  ARM_MATH_BIG_ENDIAN */
+
+        /* Read x[7] */
+        x3 = read_q15x2 ((q15_t *) px);
+		px++;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD (x0, c0, acc0);
+        acc1 = __SMLAD (x1, c0, acc1);
+        acc2 = __SMLADX(x1, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      if (k == 2U)
+      {
+        /* Read y[4], y[5] */
+        c0 = read_q15x2 ((q15_t *) py);
+
+        /* Read x[7], x[8] */
+        x3 = read_q15x2 ((q15_t *) px);
+
+        /* Read x[9] */
+        x2 = read_q15x2 ((q15_t *) px + 1);
+		px += 2U;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD(x0, c0, acc0);
+        acc1 = __SMLAD(x1, c0, acc1);
+        acc2 = __SMLAD(x3, c0, acc2);
+        acc3 = __SMLAD(x2, c0, acc3);
+      }
+
+      if (k == 3U)
+      {
+        /* Read y[4], y[5] */
+        c0 = read_q15x2_ia ((q15_t **) &py);
+
+        /* Read x[7], x[8] */
+        x3 = read_q15x2 ((q15_t *) px);
+
+        /* Read x[9] */
+        x2 = read_q15x2 ((q15_t *) px + 1);
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLAD(x0, c0, acc0);
+        acc1 = __SMLAD(x1, c0, acc1);
+        acc2 = __SMLAD(x3, c0, acc2);
+        acc3 = __SMLAD(x2, c0, acc3);
+
+        c0 = (*py);
+        /* Read y[6] */
+#ifdef  ARM_MATH_BIG_ENDIAN
+        c0 = c0 << 16U;
+#else
+        c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef  ARM_MATH_BIG_ENDIAN */
+
+        /* Read x[10] */
+        x3 = read_q15x2 ((q15_t *) px + 2);
+		px += 3U;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLADX(x1, c0, acc0);
+        acc1 = __SMLAD (x2, c0, acc1);
+        acc2 = __SMLADX(x2, c0, acc2);
+        acc3 = __SMLADX(x3, c0, acc3);
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (acc0 >> 15);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = (q15_t) (acc1 >> 15);
+      pOut += inc;
+
+      *pOut = (q15_t) (acc2 >> 15);
+      pOut += inc;
+
+      *pOut = (q15_t) (acc3 >> 15);
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4U;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4U;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) *px++ * *py++);
+        sum += ((q31_t) *px++ * *py++);
+        sum += ((q31_t) *px++ * *py++);
+        sum += ((q31_t) *px++ * *py++);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q31_t) * px++ * *py++);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (sum >> 15);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q31_t) *px++ * *py++);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (sum >> 15);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+  /* --------------------------
+   * Initializations of stage3
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   * ....
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+   * sum +=  x[srcALen-1] * y[0]
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1U;
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------
+   * Stage3 process
+   * ------------------*/
+
+  while (blockSize3 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2U;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulates */
+      /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
+      sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+      /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
+      sum = __SMLAD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.
+     ** No loop unrolling is used. */
+    k = count % 0x4U;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulates */
+      sum = __SMLAD(*px++, *py++, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q15_t) (sum >> 15);
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement the MAC count */
+    count--;
+
+    /* Decrement the loop counter */
+    blockSize3--;
+  }
+
+}
+
+/**
+  @} end of Corr group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c
new file mode 100644
index 0000000..8686c52
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c
@@ -0,0 +1,601 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_correlate_fast_q31.c
+ * Description:  Fast Q31 Correlation
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Corr
+  @{
+ */
+
+/**
+  @brief         Correlation of Q31 sequences (fast version).
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+                   The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+                   These intermediate results are accumulated in a 32-bit register in 2.30 format.
+                   Finally, the accumulator is saturated and converted to a 1.31 result.
+  @par
+                   The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result.
+                   In order to avoid overflows completely the input signals must be scaled down.
+                   The input signals should be scaled down to avoid intermediate overflows.
+                   Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a
+                   maximum of min(srcALen, srcBLen) number of additions is carried internally.
+
+ @remark
+                   Refer to \ref arm_correlate_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision.
+ */
+
+void arm_correlate_fast_q31(
+  const q31_t * pSrcA,
+        uint32_t srcALen,
+  const q31_t * pSrcB,
+        uint32_t srcBLen,
+        q31_t * pDst)
+{
+  const q31_t *pIn1;                                   /* InputA pointer */
+  const q31_t *pIn2;                                   /* InputB pointer */
+        q31_t *pOut = pDst;                            /* Output pointer */
+  const q31_t *px;                                     /* Intermediate inputA pointer */
+  const q31_t *py;                                     /* Intermediate inputB pointer */
+  const q31_t *pSrc1;                                  /* Intermediate pointers */
+        q31_t sum, acc0, acc1, acc2, acc3;             /* Accumulators */
+        q31_t x0, x1, x2, x3, c0;                      /* Temporary variables for holding input and coefficient values */
+        uint32_t blockSize1, blockSize2, blockSize3;   /* Loop counters */
+        uint32_t j, k, count, blkCnt;                  /* Loop counters */
+        uint32_t outBlockSize;
+        int32_t inc = 1;                               /* Destination address modifier */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2U * srcALen) - 1U;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB
+     * to make their lengths equal.
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+
+  }
+
+  /* The function is internally
+   * divided into three stages according to the number of multiplications that has to be
+   * taken place between inputA samples and inputB samples. In the first stage of the
+   * algorithm, the multiplications increase by one for every iteration.
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.
+   * In the third stage of the algorithm, the multiplications decrease by one
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1U;
+  blockSize2 = srcALen - (srcBLen - 1U);
+  blockSize3 = blockSize1;
+
+  /* --------------------------
+   * Initializations of stage1
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]
+   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+   * ....
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = 1U;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1U);
+  py = pSrc1;
+
+  /* ------------------------
+   * Stage1 process
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while (blockSize1 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2U;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* x[0] * y[srcBLen - 4] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py++))) >> 32);
+
+      /* x[1] * y[srcBLen - 3] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py++))) >> 32);
+
+      /* x[2] * y[srcBLen - 2] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py++))) >> 32);
+
+      /* x[3] * y[srcBLen - 1] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py++))) >> 32);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.
+     ** No loop unrolling is used. */
+    k = count % 0x4U;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* x[0] * y[srcBLen - 1] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py++))) >> 32);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = sum << 1;
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------
+   * Initializations of stage2
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+   * ....
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0U;
+
+  /* -------------------
+   * Stage2 process
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+   * So, to loop unroll over blockSize2,
+   * srcBLen should be greater than or equal to 4 */
+  if (srcBLen >= 4U)
+  {
+    /* Loop unroll over blockSize2, by 4 */
+    blkCnt = blockSize2 >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1], x[2] samples */
+      x0 = *px++;
+      x1 = *px++;
+      x2 = *px++;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read y[0] sample */
+        c0 = *py++;
+        /* Read x[3] sample */
+        x3 = *px++;
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[0] * y[0] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc1 +=  x[1] * y[0] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc2 +=  x[2] * y[0] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc3 +=  x[3] * y[0] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+
+        /* Read y[1] sample */
+        c0 = *py++;
+        /* Read x[4] sample */
+        x0 = *px++;
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[1] * y[1] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc1 +=  x[2] * y[1] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc2 +=  x[3] * y[1] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32);
+        /* acc3 +=  x[4] * y[1] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+
+        /* Read y[2] sample */
+        c0 = *py++;
+        /* Read x[5] sample */
+        x1 = *px++;
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[2] * y[2] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc1 +=  x[3] * y[2] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32);
+        /* acc2 +=  x[4] * y[2] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc3 +=  x[5] * y[2] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32);
+
+
+        /* Read y[3] sample */
+        c0 = *py++;
+        /* Read x[6] sample */
+        x2 = *px++;
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[3] * y[3] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32);
+        /* acc1 +=  x[4] * y[3] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc2 +=  x[5] * y[3] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc3 +=  x[6] * y[3] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32);
+
+
+      } while (--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Read y[4] sample */
+        c0 = *py++;
+        /* Read x[7] sample */
+        x3 = *px++;
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[4] */
+        acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+        /* acc1 +=  x[5] * y[4] */
+        acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+        /* acc2 +=  x[6] * y[4] */
+        acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+        /* acc3 +=  x[7] * y[4] */
+        acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q31_t) (acc0 << 1);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = (q31_t) (acc1 << 1);
+      pOut += inc;
+
+      *pOut = (q31_t) (acc2 << 1);
+      pOut += inc;
+
+      *pOut = (q31_t) (acc3 << 1);
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 4 */
+      count += 4U;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4U;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py++))) >> 32);
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py++))) >> 32);
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py++))) >> 32);
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py++))) >> 32);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py++))) >> 32);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = sum << 1;
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum = (q31_t) ((((q63_t) sum << 32) +
+                        ((q63_t) *px++ * (*py++))) >> 32);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = sum << 1;
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------
+   * Initializations of stage3
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   * ....
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+   * sum +=  x[srcALen-1] * y[0]
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1U;
+
+  /* Working pointer of inputA */
+  pSrc1 = ((pIn1 + srcALen) - srcBLen) + 1U;
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------
+   * Stage3 process
+   * ------------------*/
+
+  while (blockSize3 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2U;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* sum += x[srcALen - srcBLen + 4] * y[3] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py++))) >> 32);
+
+      /* sum += x[srcALen - srcBLen + 3] * y[2] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py++))) >> 32);
+
+      /* sum += x[srcALen - srcBLen + 2] * y[1] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py++))) >> 32);
+
+      /* sum += x[srcALen - srcBLen + 1] * y[0] */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py++))) >> 32);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.
+     ** No loop unrolling is used. */
+    k = count % 0x4U;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum = (q31_t) ((((q63_t) sum << 32) +
+                      ((q63_t) *px++ * (*py++))) >> 32);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = sum << 1;
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement MAC count */
+    count--;
+
+    /* Decrement loop counter */
+    blockSize3--;
+  }
+
+}
+
+/**
+  @} end of Corr group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c
new file mode 100644
index 0000000..ae0ab45
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c
@@ -0,0 +1,341 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_correlate_opt_q15.c
+ * Description:  Correlation of Q15 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Corr
+  @{
+ */
+
+/**
+  @brief         Correlation of Q15 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.
+  @param[in]     pScratch   points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   Both inputs are in 1.15 format and multiplications yield a 2.30 result.
+                   The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+                   This approach provides 33 guard bits and there is no risk of overflow.
+                   The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+
+ @remark
+                   Refer to \ref arm_correlate_fast_q15() for a faster but less precise version of this function.
+ */
+
+void arm_correlate_opt_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst,
+        q15_t * pScratch)
+{
+        q63_t acc0;                                    /* Accumulators */
+        q15_t *pOut = pDst;                            /* Output pointer */
+        q15_t *pScr1;                                  /* Temporary pointer for scratch1 */
+  const q15_t *pIn1;                                   /* InputA pointer */
+  const q15_t *pIn2;                                   /* InputB pointer */
+  const q15_t *py;                                     /* Intermediate inputB pointer */
+        uint32_t j, blkCnt, outBlockSize;              /* Loop counter */
+        int32_t inc = 1;                               /* Output pointer increment */
+        uint32_t tapCnt;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q63_t acc1, acc2, acc3;                        /* Accumulators */
+        q31_t x1, x2, x3;                              /* Temporary variables for holding input1 and input2 values */
+        q31_t y1, y2;                                  /* State variables */
+#endif
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+
+    /* Number of output samples is calculated */
+    outBlockSize = (srcALen * 2U) - 1U;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB
+     * to make their lengths equal.
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+  }
+
+  pScr1 = pScratch;
+
+  /* Fill (srcBLen - 1U) zeros in scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+  /* Update temporary scratch pointer */
+  pScr1 += (srcBLen - 1U);
+
+  /* Copy (srcALen) samples in scratch buffer */
+  arm_copy_q15(pIn1, pScr1, srcALen);
+
+  /* Update pointers */
+  pScr1 += srcALen;
+
+
+  /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+  /* Update pointer */
+  pScr1 += (srcBLen - 1U);
+
+  /* Temporary pointer for scratch2 */
+  py = pIn2;
+
+
+  /* Actual correlation process starts here */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = (srcALen + srcBLen - 1U) >> 2;
+
+  while (blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Read two samples from scratch1 buffer */
+    x1 = read_q15x2_ia (&pScr1);
+
+    /* Read next two samples from scratch1 buffer */
+    x2 = read_q15x2_ia (&pScr1);
+
+    tapCnt = (srcBLen) >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read four samples from smaller buffer */
+      y1 = read_q15x2_ia ((q15_t **) &pIn2);
+      y2 = read_q15x2_ia ((q15_t **) &pIn2);
+
+      /* multiply and accumlate */
+      acc0 = __SMLALD(x1, y1, acc0);
+      acc2 = __SMLALD(x2, y1, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      /* multiply and accumlate */
+      acc1 = __SMLALDX(x3, y1, acc1);
+
+      /* Read next two samples from scratch1 buffer */
+      x1 = read_q15x2_ia (&pScr1);
+
+      /* multiply and accumlate */
+      acc0 = __SMLALD(x2, y2, acc0);
+      acc2 = __SMLALD(x1, y2, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLALDX(x3, y1, acc3);
+      acc1 = __SMLALDX(x3, y2, acc1);
+
+      x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLALDX(x3, y2, acc3);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Update scratch pointer for remaining samples of smaller length sequence */
+    pScr1 -= 4U;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    tapCnt = (srcBLen) & 3U;
+
+    while (tapCnt > 0U)
+    {
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pIn2);
+      acc1 += (*pScr1++ * *pIn2);
+      acc2 += (*pScr1++ * *pIn2);
+      acc3 += (*pScr1++ * *pIn2++);
+
+      pScr1 -= 3U;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+
+    /* Store the results in the accumulators in the destination buffer. */
+    *pOut = (__SSAT(acc0 >> 15U, 16));
+    pOut += inc;
+    *pOut = (__SSAT(acc1 >> 15U, 16));
+    pOut += inc;
+    *pOut = (__SSAT(acc2 >> 15U, 16));
+    pOut += inc;
+    *pOut = (__SSAT(acc3 >> 15U, 16));
+    pOut += inc;
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch += 4U;
+  }
+
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = (srcALen + srcBLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Calculate correlation for remaining samples of Bigger length sequence */
+  while (blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+
+    tapCnt = (srcBLen) >> 1U;
+
+    while (tapCnt > 0U)
+    {
+
+      /* Read next two samples from scratch1 buffer */
+      acc0 += (*pScr1++ * *pIn2++);
+      acc0 += (*pScr1++ * *pIn2++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    tapCnt = (srcBLen) & 1U;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    while (tapCnt > 0U)
+    {
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pIn2++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* The result is in 2.30 format.  Convert to 1.15 with saturation.
+       Then store the output in the destination buffer. */
+    *pOut = (q15_t) (__SSAT((acc0 >> 15), 16));
+    pOut += inc;
+
+    /* Initialization of inputB pointer */
+    pIn2 = py;
+
+    pScratch += 1U;
+  }
+
+}
+
+/**
+  @} end of Corr group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c
new file mode 100644
index 0000000..10c6e70
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c
@@ -0,0 +1,388 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_correlate_opt_q7.c
+ * Description:  Correlation of Q7 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Corr
+  @{
+ */
+
+/**
+  @brief         Correlation of Q7 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.
+  @param[in]     pScratch1  points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+  @param[in]     pScratch2  points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 32-bit internal accumulator.
+                   Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.
+                   The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+                   This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)<131072</code>.
+                   The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format.
+ */
+
+void arm_correlate_opt_q7(
+  const q7_t * pSrcA,
+        uint32_t srcALen,
+  const q7_t * pSrcB,
+        uint32_t srcBLen,
+        q7_t * pDst,
+        q15_t * pScratch1,
+        q15_t * pScratch2)
+{
+        q15_t *pScr1 = pScratch1;                      /* Temporary pointer for scratch */
+        q15_t *pScr2 = pScratch2;                      /* Temporary pointer for scratch */
+        q15_t x4;                                      /* Temporary input variable */
+        q15_t *py;                                     /* Temporary input2 pointer */
+        q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
+  const q7_t *pIn1, *pIn2;                             /* InputA and inputB pointer */
+        uint32_t j, k, blkCnt, tapCnt;                 /* Loop counter */
+        int32_t inc = 1;                               /* Output pointer increment */
+        uint32_t outBlockSize;                         /* Loop counter */
+        q31_t x1, x2, x3, y1;                          /* Temporary input variables */
+        q7_t *pOut = pDst;                             /* Output pointer */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+
+    /* Number of output samples is calculated */
+    outBlockSize = (srcALen * 2U) - 1U;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB
+     * to make their lengths equal.
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+  }
+
+
+  /* Copy (srcBLen) samples in scratch buffer */
+  k = srcBLen >> 2U;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.
+     a second loop below copies for the remaining 1 to 3 samples. */
+  while (k > 0U)
+  {
+    /* copy second buffer in reversal manner */
+    x4 = (q15_t) *pIn2++;
+    *pScr2++ = x4;
+    x4 = (q15_t) *pIn2++;
+    *pScr2++ = x4;
+    x4 = (q15_t) *pIn2++;
+    *pScr2++ = x4;
+    x4 = (q15_t) *pIn2++;
+    *pScr2++ = x4;
+
+    /* Decrement loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.
+     No loop unrolling is used. */
+  k = srcBLen % 0x4U;
+
+  while (k > 0U)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    x4 = (q15_t) *pIn2++;
+    *pScr2++ = x4;
+
+    /* Decrement loop counter */
+    k--;
+  }
+
+  /* Fill (srcBLen - 1U) zeros in scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+  /* Update temporary scratch pointer */
+  pScr1 += (srcBLen - 1U);
+
+  /* Copy (srcALen) samples in scratch buffer */
+  /* Apply loop unrolling and do 4 Copies simultaneously. */
+  k = srcALen >> 2U;
+
+  /* First part of the processing with loop unrolling copies 4 data points at a time.
+     a second loop below copies for the remaining 1 to 3 samples. */
+  while (k > 0U)
+  {
+    /* copy second buffer in reversal manner */
+    x4 = (q15_t) *pIn1++;
+    *pScr1++ = x4;
+    x4 = (q15_t) *pIn1++;
+    *pScr1++ = x4;
+    x4 = (q15_t) *pIn1++;
+    *pScr1++ = x4;
+    x4 = (q15_t) *pIn1++;
+    *pScr1++ = x4;
+
+    /* Decrement loop counter */
+    k--;
+  }
+
+  /* If the count is not a multiple of 4, copy remaining samples here.
+     No loop unrolling is used. */
+  k = srcALen % 0x4U;
+
+  while (k > 0U)
+  {
+    /* copy second buffer in reversal manner for remaining samples */
+    x4 = (q15_t) * pIn1++;
+    *pScr1++ = x4;
+
+    /* Decrement the loop counter */
+    k--;
+  }
+
+  /* Fill (srcBLen - 1U) zeros at end of scratch buffer */
+  arm_fill_q15(0, pScr1, (srcBLen - 1U));
+
+  /* Update pointer */
+  pScr1 += (srcBLen - 1U);
+
+  /* Temporary pointer for scratch2 */
+  py = pScratch2;
+
+  /* Initialization of pScr2 pointer */
+  pScr2 = pScratch2;
+
+  /* Actual correlation process starts here */
+  blkCnt = (srcALen + srcBLen - 1U) >> 2;
+
+  while (blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Read two samples from scratch1 buffer */
+    x1 = read_q15x2_ia (&pScr1);
+
+    /* Read next two samples from scratch1 buffer */
+    x2 = read_q15x2_ia (&pScr1);
+
+    tapCnt = (srcBLen) >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read four samples from smaller buffer */
+      y1 = read_q15x2_ia (&pScr2);
+
+      /* multiply and accumlate */
+      acc0 = __SMLAD(x1, y1, acc0);
+      acc2 = __SMLAD(x2, y1, acc2);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      /* multiply and accumlate */
+      acc1 = __SMLADX(x3, y1, acc1);
+
+      /* Read next two samples from scratch1 buffer */
+      x1 = read_q15x2_ia (&pScr1);
+
+      /* pack input data */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x1, x2, 0);
+#else
+      x3 = __PKHBT(x2, x1, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+
+      /* Read four samples from smaller buffer */
+      y1 = read_q15x2_ia (&pScr2);
+
+      acc0 = __SMLAD(x2, y1, acc0);
+
+      acc2 = __SMLAD(x1, y1, acc2);
+
+      acc1 = __SMLADX(x3, y1, acc1);
+
+      x2 = read_q15x2_ia (&pScr1);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      x3 = __PKHBT(x2, x1, 0);
+#else
+      x3 = __PKHBT(x1, x2, 0);
+#endif
+
+      acc3 = __SMLADX(x3, y1, acc3);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Update scratch pointer for remaining samples of smaller length sequence */
+    pScr1 -= 4U;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    tapCnt = (srcBLen) & 3U;
+
+    while (tapCnt > 0U)
+    {
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pScr2);
+      acc1 += (*pScr1++ * *pScr2);
+      acc2 += (*pScr1++ * *pScr2);
+      acc3 += (*pScr1++ * *pScr2++);
+
+      pScr1 -= 3U;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q7_t) (__SSAT(acc0 >> 7U, 8));
+    pOut += inc;
+    *pOut = (q7_t) (__SSAT(acc1 >> 7U, 8));
+    pOut += inc;
+    *pOut = (q7_t) (__SSAT(acc2 >> 7U, 8));
+    pOut += inc;
+    *pOut = (q7_t) (__SSAT(acc3 >> 7U, 8));
+    pOut += inc;
+
+    /* Initialization of inputB pointer */
+    pScr2 = py;
+
+    pScratch1 += 4U;
+  }
+
+  blkCnt = (srcALen + srcBLen - 1U) & 0x3;
+
+  /* Calculate correlation for remaining samples of Bigger length sequence */
+  while (blkCnt > 0)
+  {
+    /* Initialze temporary scratch pointer as scratch1 */
+    pScr1 = pScratch1;
+
+    /* Clear Accumlators */
+    acc0 = 0;
+
+    tapCnt = (srcBLen) >> 1U;
+
+    while (tapCnt > 0U)
+    {
+      acc0 += (*pScr1++ * *pScr2++);
+      acc0 += (*pScr1++ * *pScr2++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    tapCnt = (srcBLen) & 1U;
+
+    /* apply same above for remaining samples of smaller length sequence */
+    while (tapCnt > 0U)
+    {
+      /* accumlate the results */
+      acc0 += (*pScr1++ * *pScr2++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    blkCnt--;
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q7_t) (__SSAT(acc0 >> 7U, 8));
+    pOut += inc;
+
+    /* Initialization of inputB pointer */
+    pScr2 = py;
+
+    pScratch1 += 1U;
+  }
+
+}
+
+/**
+  @} end of Corr group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c
new file mode 100644
index 0000000..c847495
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c
@@ -0,0 +1,696 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_correlate_q15.c
+ * Description:  Correlation of Q15 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Corr
+  @{
+ */
+
+/**
+  @brief         Correlation of Q15 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   Both inputs are in 1.15 format and multiplications yield a 2.30 result.
+                   The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+                   This approach provides 33 guard bits and there is no risk of overflow.
+                   The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+
+  @remark
+                   Refer to \ref arm_correlate_fast_q15() for a faster but less precise version of this function.
+  @remark
+                   Refer to \ref arm_correlate_opt_q15() for a faster implementation of this function using scratch buffers.
+ */
+
+void arm_correlate_q15(
+  const q15_t * pSrcA,
+        uint32_t srcALen,
+  const q15_t * pSrcB,
+        uint32_t srcBLen,
+        q15_t * pDst)
+{
+
+#if defined (ARM_MATH_DSP)
+
+  const q15_t *pIn1;                                   /* InputA pointer */
+  const q15_t *pIn2;                                   /* InputB pointer */
+        q15_t *pOut = pDst;                            /* Output pointer */
+        q63_t sum, acc0, acc1, acc2, acc3;             /* Accumulators */
+  const q15_t *px;                                     /* Intermediate inputA pointer */
+  const q15_t *py;                                     /* Intermediate inputB pointer */
+  const q15_t *pSrc1;                                  /* Intermediate pointers */
+        q31_t x0, x1, x2, x3, c0;                      /* Temporary input variables for holding input and coefficient values */
+        uint32_t blockSize1, blockSize2, blockSize3;   /* Loop counters */
+        uint32_t j, k, count, blkCnt;                  /* Loop counters */
+        uint32_t outBlockSize;
+        int32_t inc = 1;                               /* Destination address modifier */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+
+    /* Number of output samples is calculated */
+    outBlockSize = (srcALen * 2U) - 1U;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB
+     * to make their lengths equal.
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+  }
+
+  /* The function is internally
+   * divided into three stages according to the number of multiplications that has to be
+   * taken place between inputA samples and inputB samples. In the first stage of the
+   * algorithm, the multiplications increase by one for every iteration.
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.
+   * In the third stage of the algorithm, the multiplications decrease by one
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1U;
+  blockSize2 = srcALen - (srcBLen - 1U);
+  blockSize3 = blockSize1;
+
+  /* --------------------------
+   * Initializations of stage1
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]
+   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+   * ....
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = 1U;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1U);
+  py = pSrc1;
+
+  /* ------------------------
+   * Stage1 process
+   * ----------------------*/
+
+  /* The first loop starts here */
+  while (blockSize1 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2U;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */
+      sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+      /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */
+      sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.
+     ** No loop unrolling is used. */
+    k = count % 0x4U;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* x[0] * y[srcBLen - 1] */
+      sum = __SMLALD(*px++, *py++, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q15_t) (__SSAT((sum >> 15), 16));
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------
+   * Initializations of stage2
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+   * ....
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is the index by which the pointer pIn1 to be incremented */
+  count = 0U;
+
+  /* -------------------
+   * Stage2 process
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+   * So, to loop unroll over blockSize2,
+   * srcBLen should be greater than or equal to 4 */
+  if (srcBLen >= 4U)
+  {
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = blockSize2 >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1] samples */
+      x0 = read_q15x2 ((q15_t *) px);
+
+      /* read x[1], x[2] samples */
+      x1 = read_q15x2 ((q15_t *) px + 1);
+      px += 2U;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read the first two inputB samples using SIMD:
+         * y[0] and y[1] */
+        c0 = read_q15x2_ia ((q15_t **) &py);
+
+        /* acc0 +=  x[0] * y[0] + x[1] * y[1] */
+        acc0 = __SMLALD(x0, c0, acc0);
+
+        /* acc1 +=  x[1] * y[0] + x[2] * y[1] */
+        acc1 = __SMLALD(x1, c0, acc1);
+
+        /* Read x[2], x[3] */
+        x2 = read_q15x2 ((q15_t *) px);
+
+        /* Read x[3], x[4] */
+        x3 = read_q15x2 ((q15_t *) px + 1);
+
+        /* acc2 +=  x[2] * y[0] + x[3] * y[1] */
+        acc2 = __SMLALD(x2, c0, acc2);
+
+        /* acc3 +=  x[3] * y[0] + x[4] * y[1] */
+        acc3 = __SMLALD(x3, c0, acc3);
+
+        /* Read y[2] and y[3] */
+        c0 = read_q15x2_ia ((q15_t **) &py);
+
+        /* acc0 +=  x[2] * y[2] + x[3] * y[3] */
+        acc0 = __SMLALD(x2, c0, acc0);
+
+        /* acc1 +=  x[3] * y[2] + x[4] * y[3] */
+        acc1 = __SMLALD(x3, c0, acc1);
+
+        /* Read x[4], x[5] */
+        x0 = read_q15x2 ((q15_t *) px + 2);
+
+        /* Read x[5], x[6] */
+        x1 = read_q15x2 ((q15_t *) px + 3);
+        px += 4U;
+
+        /* acc2 +=  x[4] * y[2] + x[5] * y[3] */
+        acc2 = __SMLALD(x0, c0, acc2);
+
+        /* acc3 +=  x[5] * y[2] + x[6] * y[3] */
+        acc3 = __SMLALD(x1, c0, acc3);
+
+      } while (--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      if (k == 1U)
+      {
+        /* Read y[4] */
+        c0 = *py;
+#ifdef  ARM_MATH_BIG_ENDIAN
+        c0 = c0 << 16U;
+#else
+        c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef  ARM_MATH_BIG_ENDIAN */
+
+        /* Read x[7] */
+        x3 = read_q15x2 ((q15_t *) px);
+        px++;
+
+        /* Perform the multiply-accumulate */
+        acc0 = __SMLALD (x0, c0, acc0);
+        acc1 = __SMLALD (x1, c0, acc1);
+        acc2 = __SMLALDX(x1, c0, acc2);
+        acc3 = __SMLALDX(x3, c0, acc3);
+      }
+
+      if (k == 2U)
+      {
+        /* Read y[4], y[5] */
+        c0 = read_q15x2 ((q15_t *) py);
+
+        /* Read x[7], x[8] */
+        x3 = read_q15x2 ((q15_t *) px);
+
+        /* Read x[9] */
+        x2 = read_q15x2 ((q15_t *) px + 1);
+        px += 2U;
+
+        /* Perform the multiply-accumulate */
+        acc0 = __SMLALD(x0, c0, acc0);
+        acc1 = __SMLALD(x1, c0, acc1);
+        acc2 = __SMLALD(x3, c0, acc2);
+        acc3 = __SMLALD(x2, c0, acc3);
+      }
+
+      if (k == 3U)
+      {
+        /* Read y[4], y[5] */
+        c0 = read_q15x2_ia ((q15_t **) &py);
+
+        /* Read x[7], x[8] */
+        x3 = read_q15x2 ((q15_t *) px);
+
+        /* Read x[9] */
+        x2 = read_q15x2 ((q15_t *) px + 1);
+
+        /* Perform the multiply-accumulate */
+        acc0 = __SMLALD(x0, c0, acc0);
+        acc1 = __SMLALD(x1, c0, acc1);
+        acc2 = __SMLALD(x3, c0, acc2);
+        acc3 = __SMLALD(x2, c0, acc3);
+
+        c0 = (*py);
+
+        /* Read y[6] */
+#ifdef  ARM_MATH_BIG_ENDIAN
+        c0 = c0 << 16U;
+#else
+        c0 = c0 & 0x0000FFFF;
+#endif /* #ifdef  ARM_MATH_BIG_ENDIAN */
+
+        /* Read x[10] */
+        x3 = read_q15x2 ((q15_t *) px + 2);
+        px += 3U;
+
+        /* Perform the multiply-accumulates */
+        acc0 = __SMLALDX(x1, c0, acc0);
+        acc1 = __SMLALD (x2, c0, acc1);
+        acc2 = __SMLALDX(x2, c0, acc2);
+        acc3 = __SMLALDX(x3, c0, acc3);
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (__SSAT(acc0 >> 15, 16));
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = (q15_t) (__SSAT(acc1 >> 15, 16));
+      pOut += inc;
+
+      *pOut = (q15_t) (__SSAT(acc2 >> 15, 16));
+      pOut += inc;
+
+      *pOut = (q15_t) (__SSAT(acc3 >> 15, 16));
+      pOut += inc;
+
+      /* Increment the count by 4 as 4 output values are computed */
+      count += 4U;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here.
+     ** No loop unrolling is used. */
+    blkCnt = blockSize2 % 0x4U;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q63_t) *px++ * *py++);
+        sum += ((q63_t) *px++ * *py++);
+        sum += ((q63_t) *px++ * *py++);
+        sum += ((q63_t) *px++ * *py++);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum += ((q63_t) *px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (__SSAT(sum >> 15, 16));
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment count by 1, as one output value is computed */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q63_t) *px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q15_t) (__SSAT(sum >> 15, 16));
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------
+   * Initializations of stage3
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   * ....
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+   * sum +=  x[srcALen-1] * y[0]
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1U;
+
+  /* Working pointer of inputA */
+  pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U);
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------
+   * Stage3 process
+   * ------------------*/
+
+  while (blockSize3 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+    /* Apply loop unrolling and compute 4 MACs simultaneously. */
+    k = count >> 2U;
+
+    /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+     ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */
+      sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+      /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */
+      sum = __SMLALD(read_q15x2_ia ((q15_t **) &px), read_q15x2_ia ((q15_t **) &py), sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* If the count is not a multiple of 4, compute any remaining MACs here.
+     ** No loop unrolling is used. */
+    k = count % 0x4U;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum = __SMLALD(*px++, *py++, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q15_t) (__SSAT((sum >> 15), 16));
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement MAC count */
+    count--;
+
+    /* Decrement loop counter */
+    blockSize3--;
+  }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+  const q15_t *pIn1 = pSrcA;                           /* InputA pointer */
+  const q15_t *pIn2 = pSrcB + (srcBLen - 1U);          /* InputB pointer */
+        q63_t sum;                                     /* Accumulators */
+        uint32_t i = 0U, j;                            /* Loop counters */
+        uint32_t inv = 0U;                             /* Reverse order flag */
+        uint32_t tot = 0U;                             /* Length */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and a varaible, inv is set to 1 */
+  /* If lengths are not equal then zero pad has to be done to  make the two
+   * inputs of same length. But to improve the performance, we include zeroes
+   * in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+   * starting of the output buffer */
+  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+   * ending of the output buffer */
+  /* Once the zero padding is done the remaining of the output is calcualted
+   * using convolution but with the shorter signal time shifted. */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2U);
+
+  if (srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if (srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1U);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+  }
+
+  /* Loop to calculate convolution for output length number of values */
+  for (i = 0U; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry on MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if (((i - j) < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q31_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    if (inv == 1)
+      *pDst-- = (q15_t) __SSAT((sum >> 15U), 16U);
+    else
+      *pDst++ = (q15_t) __SSAT((sum >> 15U), 16U);
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+  @} end of Corr group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c
new file mode 100644
index 0000000..60c1b70
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c
@@ -0,0 +1,682 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_correlate_q31.c
+ * Description:  Correlation of Q31 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Corr
+  @{
+ */
+
+/**
+  @brief         Correlation of Q31 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   There is no saturation on intermediate additions.
+                   Thus, if the accumulator overflows it wraps around and distorts the result.
+                   The input signals should be scaled down to avoid intermediate overflows.
+                   Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a
+                   maximum of min(srcALen, srcBLen) number of additions is carried internally.
+                   The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+
+  @remark
+                   Refer to \ref arm_correlate_fast_q31() for a faster but less precise implementation of this function.
+ */
+
+void arm_correlate_q31(
+  const q31_t * pSrcA,
+        uint32_t srcALen,
+  const q31_t * pSrcB,
+        uint32_t srcBLen,
+        q31_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+  const q31_t *pIn1;                                   /* InputA pointer */
+  const q31_t *pIn2;                                   /* InputB pointer */
+        q31_t *pOut = pDst;                            /* Output pointer */
+  const q31_t *px;                                     /* Intermediate inputA pointer */
+  const q31_t *py;                                     /* Intermediate inputB pointer */
+  const q31_t *pSrc1;                                  /* Intermediate pointers */
+        q63_t sum;                                     /* Accumulators */
+        uint32_t blockSize1, blockSize2, blockSize3;   /* Loop counters */
+        uint32_t j, k, count, blkCnt;                  /* Loop counters */
+        uint32_t outBlockSize;
+        int32_t inc = 1;                               /* Destination address modifier */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q63_t acc0, acc1, acc2;                        /* Accumulators */
+        q31_t x0, x1, x2, c0;                          /* Temporary variables for holding input and coefficient values */
+#endif
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2U * srcALen) - 1U;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB
+     * to make their lengths equal.
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+  }
+
+  /* The function is internally
+   * divided into three stages according to the number of multiplications that has to be
+   * taken place between inputA samples and inputB samples. In the first stage of the
+   * algorithm, the multiplications increase by one for every iteration.
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.
+   * In the third stage of the algorithm, the multiplications decrease by one
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1U;
+  blockSize2 = srcALen - (srcBLen - 1U);
+  blockSize3 = blockSize1;
+
+  /* --------------------------
+   * Initializations of stage1
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]
+   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+   * ....
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = 1U;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1U);
+  py = pSrc1;
+
+
+  /* ------------------------
+   * Stage1 process
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while (blockSize1 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = count >> 2U;
+
+    while (k > 0U)
+    {
+      /* x[0] * y[srcBLen - 4] */
+      sum += (q63_t) *px++ * (*py++);
+
+      /* x[1] * y[srcBLen - 3] */
+      sum += (q63_t) *px++ * (*py++);
+
+      /* x[2] * y[srcBLen - 2] */
+      sum += (q63_t) *px++ * (*py++);
+
+      /* x[3] * y[srcBLen - 1] */
+      sum += (q63_t) *px++ * (*py++);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = count % 0x4U;
+
+#else
+
+    /* Initialize k with number of samples */
+    k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* x[0] * y[srcBLen - 1] */
+      sum += (q63_t) *px++ * (*py++);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q31_t) (sum >> 31);
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------
+   * Initializations of stage2
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+   * ....
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0U;
+
+  /* -------------------
+   * Stage2 process
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+   * So, to loop unroll over blockSize2,
+   * srcBLen should be greater than or equal to 4 */
+  if (srcBLen >= 4U)
+  {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unroll by 3 */
+    blkCnt = blockSize2 / 3;
+
+    while (blkCnt > 0U)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+
+      /* read x[0], x[1] samples */
+      x0 = *px++;
+      x1 = *px++;
+
+      /* Apply loop unrolling and compute 3 MACs simultaneously. */
+      k = srcBLen / 3;
+
+      /* First part of the processing with loop unrolling.  Compute 3 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 2 samples. */
+      do
+      {
+        /* Read y[0] sample */
+        c0 = *(py);
+        /* Read x[2] sample */
+        x2 = *(px);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[0] * y[0] */
+        acc0 += ((q63_t) x0 * c0);
+        /* acc1 +=  x[1] * y[0] */
+        acc1 += ((q63_t) x1 * c0);
+        /* acc2 +=  x[2] * y[0] */
+        acc2 += ((q63_t) x2 * c0);
+
+        /* Read y[1] sample */
+        c0 = *(py + 1U);
+        /* Read x[3] sample */
+        x0 = *(px + 1U);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[1] * y[1] */
+        acc0 += ((q63_t) x1 * c0);
+        /* acc1 +=  x[2] * y[1] */
+        acc1 += ((q63_t) x2 * c0);
+        /* acc2 +=  x[3] * y[1] */
+        acc2 += ((q63_t) x0 * c0);
+
+        /* Read y[2] sample */
+        c0 = *(py + 2U);
+        /* Read x[4] sample */
+        x1 = *(px + 2U);
+
+        /* Perform the multiply-accumulate */
+        /* acc0 +=  x[2] * y[2] */
+        acc0 += ((q63_t) x2 * c0);
+        /* acc1 +=  x[3] * y[2] */
+        acc1 += ((q63_t) x0 * c0);
+        /* acc2 +=  x[4] * y[2] */
+        acc2 += ((q63_t) x1 * c0);
+
+        /* update scratch pointers */
+        px += 3U;
+        py += 3U;
+
+      } while (--k);
+
+      /* If the srcBLen is not a multiple of 3, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen - (3 * (srcBLen / 3));
+
+      while (k > 0U)
+      {
+        /* Read y[4] sample */
+        c0 = *(py++);
+
+        /* Read x[7] sample */
+        x2 = *(px++);
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[4] */
+        acc0 += ((q63_t) x0 * c0);
+        /* acc1 +=  x[5] * y[4] */
+        acc1 += ((q63_t) x1 * c0);
+        /* acc2 +=  x[6] * y[4] */
+        acc2 += ((q63_t) x2 * c0);
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q31_t) (acc0 >> 31);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = (q31_t) (acc1 >> 31);
+      pOut += inc;
+
+      *pOut = (q31_t) (acc2 >> 31);
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 3 */
+      count += 3U;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = blockSize2 - 3 * (blockSize2 / 3);
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+      k = srcBLen >> 2U;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulates */
+        sum += (q63_t) *px++ * *py++;
+        sum += (q63_t) *px++ * *py++;
+        sum += (q63_t) *px++ * *py++;
+        sum += (q63_t) *px++ * *py++;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = srcBLen % 0x4U;
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) *px++ * *py++;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q31_t) (sum >> 31);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += (q63_t) *px++ * *py++;
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q31_t) (sum >> 31);
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------
+   * Initializations of stage3
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   * ....
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+   * sum +=  x[srcALen-1] * y[0]
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1U;
+
+  /* Working pointer of inputA */
+  pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------
+   * Stage3 process
+   * ------------------*/
+
+  while (blockSize3 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = count >> 2U;
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* sum += x[srcALen - srcBLen + 4] * y[3] */
+      sum += (q63_t) *px++ * *py++;
+
+      /* sum += x[srcALen - srcBLen + 3] * y[2] */
+      sum += (q63_t) *px++ * *py++;
+
+      /* sum += x[srcALen - srcBLen + 2] * y[1] */
+      sum += (q63_t) *px++ * *py++;
+
+      /* sum += x[srcALen - srcBLen + 1] * y[0] */
+      sum += (q63_t) *px++ * *py++;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = count % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum += (q63_t) *px++ * *py++;
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q31_t) (sum >> 31);
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement MAC count */
+    count--;
+
+    /* Decrement loop counter */
+    blockSize3--;
+  }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+  const q31_t *pIn1 = pSrcA;                           /* InputA pointer */
+  const q31_t *pIn2 = pSrcB + (srcBLen - 1U);          /* InputB pointer */
+        q63_t sum;                                     /* Accumulators */
+        uint32_t i = 0U, j;                            /* Loop counters */
+        uint32_t inv = 0U;                             /* Reverse order flag */
+        uint32_t tot = 0U;                             /* Length */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and a varaible, inv is set to 1 */
+  /* If lengths are not equal then zero pad has to be done to  make the two
+   * inputs of same length. But to improve the performance, we include zeroes
+   * in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+   * starting of the output buffer */
+  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+   * ending of the output buffer */
+  /* Once the zero padding is done the remaining of the output is calcualted
+   * using correlation but with the shorter signal time shifted. */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2U);
+
+  if (srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if (srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1U);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+  }
+
+  /* Loop to calculate correlation for output length number of times */
+  for (i = 0U; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry out MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to correlation equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if (((i - j) < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q63_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    if (inv == 1)
+      *pDst-- = (q31_t) (sum >> 31U);
+    else
+      *pDst++ = (q31_t) (sum >> 31U);
+  }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of Corr group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c
new file mode 100644
index 0000000..0fa49ec
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c
@@ -0,0 +1,800 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_correlate_q7.c
+ * Description:  Correlation of Q7 sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup Corr
+  @{
+ */
+
+/**
+  @brief         Correlation of Q7 sequences.
+  @param[in]     pSrcA      points to the first input sequence
+  @param[in]     srcALen    length of the first input sequence
+  @param[in]     pSrcB      points to the second input sequence
+  @param[in]     srcBLen    length of the second input sequence
+  @param[out]    pDst       points to the location where the output result is written.  Length 2 * max(srcALen, srcBLen) - 1.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 32-bit internal accumulator.
+                   Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result.
+                   The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+                   This approach provides 17 guard bits and there is no risk of overflow as long as <code>max(srcALen, srcBLen)<131072</code>.
+                   The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format.
+
+ @remark
+                   Refer to \ref arm_correlate_opt_q7() for a faster implementation of this function.
+ */
+
+void arm_correlate_q7(
+  const q7_t * pSrcA,
+        uint32_t srcALen,
+  const q7_t * pSrcB,
+        uint32_t srcBLen,
+        q7_t * pDst)
+{
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+  const q7_t *pIn1;                                    /* InputA pointer */
+  const q7_t *pIn2;                                    /* InputB pointer */
+        q7_t *pOut = pDst;                             /* Output pointer */
+  const q7_t *px;                                      /* Intermediate inputA pointer */
+  const q7_t *py;                                      /* Intermediate inputB pointer */
+  const q7_t *pSrc1;                                   /* Intermediate pointers */
+        q31_t sum;                                     /* Accumulators */
+        uint32_t blockSize1, blockSize2, blockSize3;   /* Loop counters */
+        uint32_t j, k, count, blkCnt;                  /* Loop counters */
+        uint32_t outBlockSize;
+        int32_t inc = 1;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t acc0, acc1, acc2, acc3;                  /* Accumulators */
+        q31_t input1, input2;                          /* Temporary input variables */
+        q15_t in1, in2;                                /* Temporary input variables */
+        q7_t x0, x1, x2, x3, c0, c1;                   /* Temporary variables for holding input and coefficient values */
+#endif
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and the destination pointer modifier, inc is set to -1 */
+  /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */
+  /* But to improve the performance,
+   * we include zeroes in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */
+  /* If srcALen < srcBLen,
+   * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */
+  if (srcALen >= srcBLen)
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcA;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcB;
+
+    /* Number of output samples is calculated */
+    outBlockSize = (2U * srcALen) - 1U;
+
+    /* When srcALen > srcBLen, zero padding is done to srcB
+     * to make their lengths equal.
+     * Instead, (outBlockSize - (srcALen + srcBLen - 1))
+     * number of output samples are made zero */
+    j = outBlockSize - (srcALen + (srcBLen - 1U));
+
+    /* Updating the pointer position to non zero value */
+    pOut += j;
+  }
+  else
+  {
+    /* Initialization of inputA pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization of inputB pointer */
+    pIn2 = pSrcA;
+
+    /* srcBLen is always considered as shorter or equal to srcALen */
+    j = srcBLen;
+    srcBLen = srcALen;
+    srcALen = j;
+
+    /* CORR(x, y) = Reverse order(CORR(y, x)) */
+    /* Hence set the destination pointer to point to the last output sample */
+    pOut = pDst + ((srcALen + srcBLen) - 2U);
+
+    /* Destination address modifier is set to -1 */
+    inc = -1;
+  }
+
+  /* The function is internally
+   * divided into three stages according to the number of multiplications that has to be
+   * taken place between inputA samples and inputB samples. In the first stage of the
+   * algorithm, the multiplications increase by one for every iteration.
+   * In the second stage of the algorithm, srcBLen number of multiplications are done.
+   * In the third stage of the algorithm, the multiplications decrease by one
+   * for every iteration. */
+
+  /* The algorithm is implemented in three stages.
+     The loop counters of each stage is initiated here. */
+  blockSize1 = srcBLen - 1U;
+  blockSize2 = srcALen - (srcBLen - 1U);
+  blockSize3 = blockSize1;
+
+  /* --------------------------
+   * Initializations of stage1
+   * -------------------------*/
+
+  /* sum = x[0] * y[srcBlen - 1]
+   * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1]
+   * ....
+   * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1]
+   */
+
+  /* In this stage the MAC operations are increased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = 1U;
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  pSrc1 = pIn2 + (srcBLen - 1U);
+  py = pSrc1;
+
+  /* ------------------------
+   * Stage1 process
+   * ----------------------*/
+
+  /* The first stage starts here */
+  while (blockSize1 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = count >> 2U;
+
+    while (k > 0U)
+    {
+      /* x[0] , x[1] */
+      in1 = (q15_t) *px++;
+      in2 = (q15_t) *px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+      /* y[srcBLen - 4] , y[srcBLen - 3] */
+      in1 = (q15_t) *py++;
+      in2 = (q15_t) *py++;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+      /* x[0] * y[srcBLen - 4] */
+      /* x[1] * y[srcBLen - 3] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* x[2] , x[3] */
+      in1 = (q15_t) *px++;
+      in2 = (q15_t) *px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+      /* y[srcBLen - 2] , y[srcBLen - 1] */
+      in1 = (q15_t) *py++;
+      in2 = (q15_t) *py++;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16);
+
+      /* x[2] * y[srcBLen - 2] */
+      /* x[3] * y[srcBLen - 1] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = count % 0x4U;
+
+#else
+
+    /* Initialize k with number of samples */
+    k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* x[0] * y[srcBLen - 1] */
+      sum += (q31_t) ((q15_t) *px++ * *py++);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q7_t) (__SSAT(sum >> 7U, 8));
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    py = pSrc1 - count;
+    px = pIn1;
+
+    /* Increment MAC count */
+    count++;
+
+    /* Decrement loop counter */
+    blockSize1--;
+  }
+
+  /* --------------------------
+   * Initializations of stage2
+   * ------------------------*/
+
+  /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1]
+   * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1]
+   * ....
+   * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   */
+
+  /* Working pointer of inputA */
+  px = pIn1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* count is index by which the pointer pIn1 to be incremented */
+  count = 0U;
+
+  /* -------------------
+   * Stage2 process
+   * ------------------*/
+
+  /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed.
+   * So, to loop unroll over blockSize2,
+   * srcBLen should be greater than or equal to 4 */
+  if (srcBLen >= 4U)
+  {
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = blockSize2 >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* Set all accumulators to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* read x[0], x[1], x[2] samples */
+      x0 = *px++;
+      x1 = *px++;
+      x2 = *px++;
+
+      /* Apply loop unrolling and compute 4 MACs simultaneously. */
+      k = srcBLen >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 MACs at a time.
+       ** a second loop below computes MACs for the remaining 1 to 3 samples. */
+      do
+      {
+        /* Read y[0] sample */
+        c0 = *py++;
+        /* Read y[1] sample */
+        c1 = *py++;
+
+        /* Read x[3] sample */
+        x3 = *px++;
+
+        /* x[0] and x[1] are packed */
+        in1 = (q15_t) x0;
+        in2 = (q15_t) x1;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* y[0] and y[1] are packed */
+        in1 = (q15_t) c0;
+        in2 = (q15_t) c1;
+
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc0 += x[0] * y[0] + x[1] * y[1]  */
+        acc0 = __SMLAD(input1, input2, acc0);
+
+        /* x[1] and x[2] are packed */
+        in1 = (q15_t) x1;
+        in2 = (q15_t) x2;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc1 += x[1] * y[0] + x[2] * y[1] */
+        acc1 = __SMLAD(input1, input2, acc1);
+
+        /* x[2] and x[3] are packed */
+        in1 = (q15_t) x2;
+        in2 = (q15_t) x3;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc2 += x[2] * y[0] + x[3] * y[1]  */
+        acc2 = __SMLAD(input1, input2, acc2);
+
+        /* Read x[4] sample */
+        x0 = *px++;
+
+        /* x[3] and x[4] are packed */
+        in1 = (q15_t) x3;
+        in2 = (q15_t) x0;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc3 += x[3] * y[0] + x[4] * y[1]  */
+        acc3 = __SMLAD(input1, input2, acc3);
+
+        /* Read y[2] sample */
+        c0 = *py++;
+        /* Read y[3] sample */
+        c1 = *py++;
+
+        /* Read x[5] sample */
+        x1 = *px++;
+
+        /* x[2] and x[3] are packed */
+        in1 = (q15_t) x2;
+        in2 = (q15_t) x3;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* y[2] and y[3] are packed */
+        in1 = (q15_t) c0;
+        in2 = (q15_t) c1;
+
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc0 += x[2] * y[2] + x[3] * y[3]  */
+        acc0 = __SMLAD(input1, input2, acc0);
+
+        /* x[3] and x[4] are packed */
+        in1 = (q15_t) x3;
+        in2 = (q15_t) x0;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc1 += x[3] * y[2] + x[4] * y[3]  */
+        acc1 = __SMLAD(input1, input2, acc1);
+
+        /* x[4] and x[5] are packed */
+        in1 = (q15_t) x0;
+        in2 = (q15_t) x1;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc2 += x[4] * y[2] + x[5] * y[3]  */
+        acc2 = __SMLAD(input1, input2, acc2);
+
+        /* Read x[6] sample */
+        x2 = *px++;
+
+        /* x[5] and x[6] are packed */
+        in1 = (q15_t) x1;
+        in2 = (q15_t) x2;
+
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* acc3 += x[5] * y[2] + x[6] * y[3]  */
+        acc3 = __SMLAD(input1, input2, acc3);
+
+      } while (--k);
+
+      /* If the srcBLen is not a multiple of 4, compute any remaining MACs here.
+       ** No loop unrolling is used. */
+      k = srcBLen % 0x4U;
+
+      while (k > 0U)
+      {
+        /* Read y[4] sample */
+        c0 = *py++;
+        /* Read x[7] sample */
+        x3 = *px++;
+
+        /* Perform the multiply-accumulates */
+        /* acc0 +=  x[4] * y[4] */
+        acc0 += ((q15_t) x0 * c0);
+        /* acc1 +=  x[5] * y[4] */
+        acc1 += ((q15_t) x1 * c0);
+        /* acc2 +=  x[6] * y[4] */
+        acc2 += ((q15_t) x2 * c0);
+        /* acc3 +=  x[7] * y[4] */
+        acc3 += ((q15_t) x3 * c0);
+
+        /* Reuse the present samples for the next MAC */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q7_t) (__SSAT(acc0 >> 7, 8));
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      *pOut = (q7_t) (__SSAT(acc1 >> 7, 8));
+      pOut += inc;
+
+      *pOut = (q7_t) (__SSAT(acc2 >> 7, 8));
+      pOut += inc;
+
+      *pOut = (q7_t) (__SSAT(acc3 >> 7, 8));
+      pOut += inc;
+
+	  count += 4U;
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = blockSize2 % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize2;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+      k = srcBLen >> 2U;
+
+      while (k > 0U)
+      {
+
+        /* Reading two inputs of SrcA buffer and packing */
+        in1 = (q15_t) *px++;
+        in2 = (q15_t) *px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* Reading two inputs of SrcB buffer and packing */
+        in1 = (q15_t) *py++;
+        in2 = (q15_t) *py++;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* Perform the multiply-accumulate */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Reading two inputs of SrcA buffer and packing */
+        in1 = (q15_t) *px++;
+        in2 = (q15_t) *px++;
+        input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* Reading two inputs of SrcB buffer and packing */
+        in1 = (q15_t) *py++;
+        in2 = (q15_t) *py++;
+        input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+        /* Perform the multiply-accumulate */
+        sum = __SMLAD(input1, input2, sum);
+
+        /* Decrement loop counter */
+        k--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      k = srcBLen % 0x4U;
+
+#else
+
+      /* Initialize blkCnt with number of samples */
+      k = srcBLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q15_t) *px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q7_t) (__SSAT(sum >> 7U, 8));
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the pointer pIn1 index, count by 1 */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+  }
+  else
+  {
+    /* If the srcBLen is not a multiple of 4,
+     * the blockSize2 loop cannot be unrolled by 4 */
+    blkCnt = blockSize2;
+
+    while (blkCnt > 0U)
+    {
+      /* Accumulator is made zero for every iteration */
+      sum = 0;
+
+      /* srcBLen number of MACS should be performed */
+      k = srcBLen;
+
+      while (k > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum += ((q15_t) *px++ * *py++);
+
+        /* Decrement the loop counter */
+        k--;
+      }
+
+      /* Store the result in the accumulator in the destination buffer. */
+      *pOut = (q7_t) (__SSAT(sum >> 7U, 8));
+      /* Destination pointer is updated according to the address modifier, inc */
+      pOut += inc;
+
+      /* Increment the MAC count */
+      count++;
+
+      /* Update the inputA and inputB pointers for next MAC calculation */
+      px = pIn1 + count;
+      py = pIn2;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+  }
+
+
+  /* --------------------------
+   * Initializations of stage3
+   * -------------------------*/
+
+  /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1]
+   * ....
+   * sum +=  x[srcALen-2] * y[0] + x[srcALen-1] * y[1]
+   * sum +=  x[srcALen-1] * y[0]
+   */
+
+  /* In this stage the MAC operations are decreased by 1 for every iteration.
+     The count variable holds the number of MAC operations performed */
+  count = srcBLen - 1U;
+
+  /* Working pointer of inputA */
+  pSrc1 = pIn1 + (srcALen - (srcBLen - 1U));
+  px = pSrc1;
+
+  /* Working pointer of inputB */
+  py = pIn2;
+
+  /* -------------------
+   * Stage3 process
+   * ------------------*/
+
+  while (blockSize3 > 0U)
+  {
+    /* Accumulator is made zero for every iteration */
+    sum = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    k = count >> 2U;
+
+    while (k > 0U)
+    {
+      /* x[srcALen - srcBLen + 1] , x[srcALen - srcBLen + 2]  */
+      in1 = (q15_t) *px++;
+      in2 = (q15_t) *px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+      /* y[0] , y[1] */
+      in1 = (q15_t) *py++;
+      in2 = (q15_t) *py++;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+      /* sum += x[srcALen - srcBLen + 1] * y[0] */
+      /* sum += x[srcALen - srcBLen + 2] * y[1] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* x[srcALen - srcBLen + 3] , x[srcALen - srcBLen + 4] */
+      in1 = (q15_t) *px++;
+      in2 = (q15_t) *px++;
+      input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+      /* y[2] , y[3] */
+      in1 = (q15_t) *py++;
+      in2 = (q15_t) *py++;
+      input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U);
+
+      /* sum += x[srcALen - srcBLen + 3] * y[2] */
+      /* sum += x[srcALen - srcBLen + 4] * y[3] */
+      sum = __SMLAD(input1, input2, sum);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    k = count % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    k = count;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (k > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum += ((q15_t) *px++ * *py++);
+
+      /* Decrement loop counter */
+      k--;
+    }
+
+    /* Store the result in the accumulator in the destination buffer. */
+    *pOut = (q7_t) (__SSAT(sum >> 7U, 8));
+    /* Destination pointer is updated according to the address modifier, inc */
+    pOut += inc;
+
+    /* Update the inputA and inputB pointers for next MAC calculation */
+    px = ++pSrc1;
+    py = pIn2;
+
+    /* Decrement MAC count */
+    count--;
+
+    /* Decrement loop counter */
+    blockSize3--;
+  }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+  const q7_t *pIn1 = pSrcA;                            /* InputA pointer */
+  const q7_t *pIn2 = pSrcB + (srcBLen - 1U);           /* InputB pointer */
+        q31_t sum;                                     /* Accumulator */
+        uint32_t i = 0U, j;                            /* Loop counters */
+        uint32_t inv = 0U;                             /* Reverse order flag */
+        uint32_t tot = 0U;                             /* Length */
+
+  /* The algorithm implementation is based on the lengths of the inputs. */
+  /* srcB is always made to slide across srcA. */
+  /* So srcBLen is always considered as shorter or equal to srcALen */
+  /* But CORR(x, y) is reverse of CORR(y, x) */
+  /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */
+  /* and a varaible, inv is set to 1 */
+  /* If lengths are not equal then zero pad has to be done to  make the two
+   * inputs of same length. But to improve the performance, we include zeroes
+   * in the output instead of zero padding either of the the inputs*/
+  /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the
+   * starting of the output buffer */
+  /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the
+   * ending of the output buffer */
+  /* Once the zero padding is done the remaining of the output is calcualted
+   * using convolution but with the shorter signal time shifted. */
+
+  /* Calculate the length of the remaining sequence */
+  tot = ((srcALen + srcBLen) - 2U);
+
+  if (srcALen > srcBLen)
+  {
+    /* Calculating the number of zeros to be padded to the output */
+    j = srcALen - srcBLen;
+
+    /* Initialise the pointer after zero padding */
+    pDst += j;
+  }
+
+  else if (srcALen < srcBLen)
+  {
+    /* Initialization to inputB pointer */
+    pIn1 = pSrcB;
+
+    /* Initialization to the end of inputA pointer */
+    pIn2 = pSrcA + (srcALen - 1U);
+
+    /* Initialisation of the pointer after zero padding */
+    pDst = pDst + tot;
+
+    /* Swapping the lengths */
+    j = srcALen;
+    srcALen = srcBLen;
+    srcBLen = j;
+
+    /* Setting the reverse flag */
+    inv = 1;
+  }
+
+  /* Loop to calculate convolution for output length number of times */
+  for (i = 0U; i <= tot; i++)
+  {
+    /* Initialize sum with zero to carry out MAC operations */
+    sum = 0;
+
+    /* Loop to perform MAC operations according to convolution equation */
+    for (j = 0U; j <= i; j++)
+    {
+      /* Check the array limitations */
+      if (((i - j) < srcBLen) && (j < srcALen))
+      {
+        /* z[i] += x[i-j] * y[j] */
+        sum += ((q15_t) pIn1[j] * pIn2[-((int32_t) i - j)]);
+      }
+    }
+
+    /* Store the output in the destination buffer */
+    if (inv == 1)
+      *pDst-- = (q7_t) __SSAT((sum >> 7U), 8U);
+    else
+      *pDst++ = (q7_t) __SSAT((sum >> 7U), 8U);
+  }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of Corr group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c
new file mode 100644
index 0000000..d91543c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c
@@ -0,0 +1,703 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_decimate_f32.c
+ * Description:  FIR decimation for floating-point sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @defgroup FIR_decimate Finite Impulse Response (FIR) Decimator
+
+  These functions combine an FIR filter together with a decimator.
+  They are used in multirate systems for reducing the sample rate of a signal without introducing aliasing distortion.
+  Conceptually, the functions are equivalent to the block diagram below:
+  \image html FIRDecimator.gif "Components included in the FIR Decimator functions"
+  When decimating by a factor of <code>M</code>, the signal should be prefiltered by a lowpass filter with a normalized
+  cutoff frequency of <code>1/M</code> in order to prevent aliasing distortion.
+  The user of the function is responsible for providing the filter coefficients.
+
+  The FIR decimator functions provided in the CMSIS DSP Library combine the FIR filter and the decimator in an efficient manner.
+  Instead of calculating all of the FIR filter outputs and discarding <code>M-1</code> out of every <code>M</code>, only the
+  samples output by the decimator are computed.
+  The functions operate on blocks of input and output data.
+  <code>pSrc</code> points to an array of <code>blockSize</code> input values and
+  <code>pDst</code> points to an array of <code>blockSize/M</code> output values.
+  In order to have an integer number of output samples <code>blockSize</code>
+  must always be a multiple of the decimation factor <code>M</code>.
+
+  The library provides separate functions for Q15, Q31 and floating-point data types.
+
+  @par           Algorithm:
+                   The FIR portion of the algorithm uses the standard form filter:
+  <pre>
+      y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]
+  </pre>
+                   where, <code>b[n]</code> are the filter coefficients.
+  @par
+                   The <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>.
+                   Coefficients are stored in time reversed order.
+  @par
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+  @par
+                   <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>.
+                   Samples in the state buffer are stored in the order:
+  @par
+  <pre>
+      {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+  </pre>
+                   The state variables are updated after each block of data is processed, the coefficients are untouched.
+
+  @par           Instance Structure
+                   The coefficients and state variables for a filter are stored together in an instance data structure.
+                   A separate instance structure must be defined for each filter.
+                   Coefficient arrays may be shared among several instances while state variable array should be allocated separately.
+                   There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par            Initialization Functions
+                   There is also an associated initialization function for each data type.
+                   The initialization function performs the following operations:
+                   - Sets the values of the internal structure fields.
+                   - Zeros out the values in the state buffer.
+                   - Checks to make sure that the size of the input is a multiple of the decimation factor.
+                   To do this manually without calling the init function, assign the follow subfields of the instance structure:
+                   numTaps, pCoeffs, M (decimation factor), pState. Also set all of the values in pState to zero.
+  @par
+                   Use of the initialization function is optional.
+                   However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+                   To place an instance structure into a const data section, the instance structure must be manually initialized.
+                   The code below statically initializes each of the 3 different data type filter instance structures
+  <pre>
+      arm_fir_decimate_instance_f32 S = {M, numTaps, pCoeffs, pState};
+      arm_fir_decimate_instance_q31 S = {M, numTaps, pCoeffs, pState};
+      arm_fir_decimate_instance_q15 S = {M, numTaps, pCoeffs, pState};
+  </pre>
+                   where <code>M</code> is the decimation factor; <code>numTaps</code> is the number of filter coefficients in the filter;
+                   <code>pCoeffs</code> is the address of the coefficient buffer;
+                   <code>pState</code> is the address of the state buffer.
+                   Be sure to set the values in the state buffer to zeros when doing static initialization.
+
+  @par           Fixed-Point Behavior
+                   Care must be taken when using the fixed-point versions of the FIR decimate filter functions.
+                   In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+                   Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+  @addtogroup FIR_decimate
+  @{
+ */
+
+/**
+  @brief         Processing function for floating-point FIR decimator.
+  @param[in]     S         points to an instance of the floating-point FIR decimator structure
+  @param[in]     pSrc      points to the block of input data
+  @param[out]    pDst      points to the block of output data
+  @param[in]     blockSize number of samples to process
+  @return        none
+ */
+
+#if defined(ARM_MATH_NEON)
+void arm_fir_decimate_f32(
+  const arm_fir_decimate_instance_f32 * S,
+  const float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;         /* Coefficient pointer */
+  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+  float32_t *px;                                 /* Temporary pointer for state buffer */
+  const float32_t *pb;                           /* Temporary pointer for coefficient buffer */
+  float32_t sum0;                                /* Accumulator */
+  float32_t x0, c0;                              /* Temporary variables to hold state and coefficient values */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+  uint32_t blkCntN4;
+  float32_t *px0, *px1, *px2, *px3;
+  float32_t acc0, acc1, acc2, acc3;
+  float32_t x1, x2, x3;
+
+  float32x4_t accv,acc0v,acc1v,acc2v,acc3v;
+  float32x4_t x0v, x1v, x2v, x3v;
+  float32x4_t c0v;
+  float32x2_t temp;
+  float32x4_t sum0v;
+ 
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (numTaps - 1U);
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize / 4;
+  blkCntN4 = outBlockSize - (4 * blkCnt);
+
+  while (blkCnt > 0U)
+  {
+    /* Copy 4 * decimation factor number of new input samples into the state buffer */
+    i = 4 * S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulators to zero */
+    acc0v = vdupq_n_f32(0.0);
+    acc1v = vdupq_n_f32(0.0);
+    acc2v = vdupq_n_f32(0.0);
+    acc3v = vdupq_n_f32(0.0);
+
+    /* Initialize state pointer for all the samples */
+    px0 = pState;
+    px1 = pState + S->M;
+    px2 = pState + 2 * S->M;
+    px3 = pState + 3 * S->M;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps. 
+     ** Repeat until we've computed numTaps-4 coefficients. */
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0v = vld1q_f32(pb);
+      pb += 4;
+
+      /* Read x[n-numTaps-1] sample for acc0 */
+      x0v = vld1q_f32(px0);
+      x1v = vld1q_f32(px1);
+      x2v = vld1q_f32(px2);
+      x3v = vld1q_f32(px3);
+
+      px0 += 4;
+      px1 += 4;
+      px2 += 4;
+      px3 += 4;
+     
+      acc0v = vmlaq_f32(acc0v, x0v, c0v);
+      acc1v = vmlaq_f32(acc1v, x1v, c0v);
+      acc2v = vmlaq_f32(acc2v, x2v, c0v);
+      acc3v = vmlaq_f32(acc3v, x3v, c0v);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    temp = vpadd_f32(vget_low_f32(acc0v),vget_high_f32(acc0v));
+    accv[0] = temp[0] + temp[1];
+
+    temp = vpadd_f32(vget_low_f32(acc1v),vget_high_f32(acc1v));
+    accv[1] = temp[0] + temp[1];
+
+    temp = vpadd_f32(vget_low_f32(acc2v),vget_high_f32(acc2v));
+    accv[2] = temp[0] + temp[1];
+
+    temp = vpadd_f32(vget_low_f32(acc3v),vget_high_f32(acc3v));
+    accv[3] = temp[0] + temp[1];
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch  state variables for acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      accv[0] += x0 * c0;
+      accv[1] += x1 * c0;
+      accv[2] += x2 * c0;
+      accv[3] += x3 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + 4 * S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    vst1q_f32(pDst,accv);
+    pDst += 4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  while (blkCntN4 > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCurnt++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    sum0v =  vdupq_n_f32(0.0);
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Loop over the number of taps.
+     ** Repeat until we've computed numTaps-4 coefficients. */
+    while (tapCnt > 0U)
+    {
+      c0v = vld1q_f32(pb);
+      pb += 4;
+
+      x0v = vld1q_f32(px);
+      px += 4;
+
+      sum0v = vmlaq_f32(sum0v, x0v, c0v);
+      
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    temp = vpadd_f32(vget_low_f32(sum0v),vget_high_f32(sum0v));
+    sum0 = temp[0] + temp[1];
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch 1 state variable */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = sum0;
+
+    /* Decrement the loop counter */
+    blkCntN4--;
+  }
+
+  /* Processing is complete.
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  i = (numTaps - 1U) >> 2;
+
+  /* Copy data */
+  while (i > 0U)
+  {
+    sum0v = vld1q_f32(pState);
+    vst1q_f32(pStateCurnt,sum0v);
+    pState += 4;
+    pStateCurnt += 4;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+  i = (numTaps - 1U) % 0x04U;
+
+  /* Copy data */
+  while (i > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+}
+#else
+void arm_fir_decimate_f32(
+  const arm_fir_decimate_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *pStateCur;                          /* Points to the current sample of the state */
+        float32_t *px0;                                /* Temporary pointer for state buffer */
+  const float32_t *pb;                                 /* Temporary pointer for coefficient buffer */
+        float32_t x0, c0;                              /* Temporary variables to hold state and coefficient values */
+        float32_t acc0;                                /* Accumulator */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        float32_t *px1, *px2, *px3;
+        float32_t x1, x2, x3;
+        float32_t acc1, acc2, acc3;
+#endif
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (numTaps - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 samples at a time */
+  blkCnt = outBlockSize >> 2U;
+
+  /* Samples loop unrolled by 4 */
+  while (blkCnt > 0U)
+  {
+    /* Copy 4 * decimation factor number of new input samples into the state buffer */
+    i = S->M * 4;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulators to zero */
+    acc0 = 0.0f;
+    acc1 = 0.0f;
+    acc2 = 0.0f;
+    acc3 = 0.0f;
+
+    /* Initialize state pointer for all the samples */
+    px0 = pState;
+    px1 = pState + S->M;
+    px2 = pState + 2 * S->M;
+    px3 = pState + 3 * S->M;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-1] sample for acc0 */
+      x0 = *(px0++);
+      /* Read x[n-numTaps-1] sample for acc1 */
+      x1 = *(px1++);
+      /* Read x[n-numTaps-1] sample for acc2 */
+      x2 = *(px2++);
+      /* Read x[n-numTaps-1] sample for acc3 */
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+      acc2 += x2 * c0;
+      acc3 += x3 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+      acc2 += x2 * c0;
+      acc3 += x3 * c0;
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+      acc2 += x2 * c0;
+      acc3 += x3 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+      acc2 += x2 * c0;
+      acc3 += x3 * c0;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch state variables for acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+      acc2 += x2 * c0;
+      acc3 += x3 * c0;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M * 4;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = acc0;
+    *pDst++ = acc1;
+    *pDst++ = acc2;
+    *pDst++ = acc3;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining samples */
+  blkCnt = outBlockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = outBlockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    acc0 = 0.0f;
+
+    /* Initialize state pointer */
+    px0 = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-1] sample */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-2] sample */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-3] sample */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of taps */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = acc0;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining taps */
+  tapCnt = (numTaps - 1U) % 0x04U;
+
+#else
+
+  /* Initialize tapCnt with number of taps */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of FIR_decimate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
new file mode 100644
index 0000000..c782392
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
@@ -0,0 +1,595 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_decimate_fast_q15.c
+ * Description:  Fast Q15 FIR Decimator
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_decimate
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q15 FIR decimator (fast variant).
+  @param[in]     S          points to an instance of the Q15 FIR decimator structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of input samples to process per call
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   This fast version uses a 32-bit accumulator with 2.30 format.
+                   The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   Thus, if the accumulator result overflows it wraps around and distorts the result.
+                   In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (log2 is read as log to the base 2).
+                   The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.
+  @remark
+                   Refer to \ref arm_fir_decimate_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.
+                   Both the slow and the fast versions use the same instance structure.
+                   Use function \ref arm_fir_decimate_init_q15() to initialize the filter structure.
+ */
+
+#if defined (ARM_MATH_DSP)
+
+void arm_fir_decimate_fast_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pStateCur;                              /* Points to the current sample of the state */
+        q15_t *px;                                     /* Temporary pointer for state buffer */
+  const q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
+        q31_t x0, x1, c0;                              /* Temporary variables to hold state and coefficient values */
+        q31_t sum0;                                    /* Accumulators */
+        q31_t acc0, acc1;
+        q15_t *px0, *px1;
+        uint32_t blkCntN3;
+        uint32_t numTaps = S->numTaps;                 /* Number of taps */
+        uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t c1;                                      /* Temporary variables to hold state and coefficient values */
+#endif
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (numTaps - 1U);
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize / 2;
+  blkCntN3 = outBlockSize - (2 * blkCnt);
+
+  while (blkCnt > 0U)
+  {
+    /* Copy 2 * decimation factor number of new input samples into the state buffer */
+    i = S->M * 2;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    acc0 = 0;
+    acc1 = 0;
+
+    /* Initialize state pointer for all the samples */
+    px0 = pState;
+    px1 = pState + S->M;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] and b[numTaps-2] coefficients */
+      c0 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
+      x0 = read_q15x2_ia (&px0);
+      x1 = read_q15x2_ia (&px1);
+
+      /* Perform the multiply-accumulate */
+      acc0 = __SMLAD(x0, c0, acc0);
+      acc1 = __SMLAD(x1, c0, acc1);
+
+      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
+      c0 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+      x0 = read_q15x2_ia (&px0);
+      x1 = read_q15x2_ia (&px1);
+
+      /* Perform the multiply-accumulate */
+      acc0 = __SMLAD(x0, c0, acc0);
+      acc1 = __SMLAD(x1, c0, acc1);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of taps */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch state variables for acc0, acc1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = __SMLAD(x0, c0, acc0);
+      acc1 = __SMLAD(x1, c0, acc1);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M * 2;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  while (blkCntN3 > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] and b[numTaps-2] coefficients */
+      c0 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* Read x[n-numTaps-1] and x[n-numTaps-2] sample */
+      x0 = read_q15x2_ia (&px);
+
+      /* Read the b[numTaps-3] and b[numTaps-4] coefficients */
+      c1 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* Perform the multiply-accumulate */
+      sum0 = __SMLAD(x0, c0, sum0);
+
+      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+      x0 = read_q15x2_ia (&px);
+
+      /* Perform the multiply-accumulate */
+      sum0 = __SMLAD(x0, c1, sum0);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of taps */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 = __SMLAD(x0, c0, sum0);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+    /* Decrement loop counter */
+    blkCntN3--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+  i = (numTaps - 1U) >> 2U;
+
+  /* copy data */
+  while (i > 0U)
+  {
+    write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+    write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+
+    /* Decrement loop counter */
+    i--;
+  }
+
+  i = (numTaps - 1U) % 0x04U;
+
+  /* Copy data */
+  while (i > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    i--;
+  }
+
+}
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+void arm_fir_decimate_fast_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pStateCur;                              /* Points to the current sample of the state */
+        q15_t *px;                                     /* Temporary pointer for state buffer */
+  const q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
+        q15_t x0, x1, c0;                              /* Temporary variables to hold state and coefficient values */
+        q31_t sum0;                                    /* Accumulators */
+        q31_t acc0, acc1;
+        q15_t *px0, *px1;
+        uint32_t blkCntN3;
+        uint32_t numTaps = S->numTaps;                 /* Number of taps */
+        uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (numTaps - 1U);
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize / 2;
+  blkCntN3 = outBlockSize - (2 * blkCnt);
+
+  while (blkCnt > 0U)
+  {
+    /* Copy 2 * decimation factor number of new input samples into the state buffer */
+    i = S->M * 2;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    acc0 = 0;
+    acc1 = 0;
+
+    /* Initialize state pointer */
+    px0 = pState;
+    px1 = pState + S->M;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the Read b[numTaps-1] coefficients */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-1] for sample 0 and for sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-2] for sample 0 and sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Read the b[numTaps-3] coefficients */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-3] for sample 0 and sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-4] for sample 0 and sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of taps */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M * 2;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  while (blkCntN3 > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-1] sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-2] sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-3] sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of taps */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+    /* Decrement loop counter */
+    blkCntN3--;
+  }
+
+  /* Processing is complete.
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+  i = (numTaps - 1U) >> 2U;
+
+  /* copy data */
+  while (i > 0U)
+  {
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    i--;
+  }
+
+  i = (numTaps - 1U) % 0x04U;
+
+  /* copy data */
+  while (i > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    i--;
+  }
+}
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+/**
+  @} end of FIR_decimate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
new file mode 100644
index 0000000..f9a686d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
@@ -0,0 +1,390 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_decimate_fast_q31.c
+ * Description:  Fast Q31 FIR Decimator
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_decimate
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 FIR decimator (fast variant).
+  @param[in]     S          points to an instance of the Q31 FIR decimator structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+                   The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+                   These intermediate results are added to a 2.30 accumulator.
+                   Finally, the accumulator is saturated and converted to a 1.31 result.
+                   The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.
+                   In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).
+
+  @remark
+                   Refer to \ref arm_fir_decimate_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.
+                   Both the slow and the fast versions use the same instance structure.
+                   Use function \ref arm_fir_decimate_init_q31() to initialize the filter structure.
+ */
+
+void arm_fir_decimate_fast_q31(
+  const arm_fir_decimate_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                     /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *pStateCur;                              /* Points to the current sample of the state */
+        q31_t *px0;                                    /* Temporary pointer for state buffer */
+  const q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
+        q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+        q63_t acc0;                                    /* Accumulator */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t *px1, *px2, *px3;
+        q31_t x1, x2, x3;
+        q63_t acc1, acc2, acc3;
+#endif
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (numTaps - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 samples at a time */
+  blkCnt = outBlockSize >> 2U;
+
+  /* Samples loop unrolled by 4 */
+  while (blkCnt > 0U)
+  {
+    /* Copy 4 * decimation factor number of new input samples into the state buffer */
+    i = S->M * 4;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Initialize state pointer for all the samples */
+    px0 = pState;
+    px1 = pState + S->M;
+    px2 = pState + 2 * S->M;
+    px3 = pState + 3 * S->M;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-1] sample for acc0 */
+      x0 = *(px0++);
+      /* Read x[n-numTaps-1] sample for acc1 */
+      x1 = *(px1++);
+      /* Read x[n-numTaps-1] sample for acc2 */
+      x2 = *(px2++);
+      /* Read x[n-numTaps-1] sample for acc3 */
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+      acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+      acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+      acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+      acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+      acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+      acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+      acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+      acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch state variables for acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+      acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32);
+      acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32);
+      acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M * 4;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = (q31_t) (acc0 << 1);
+    *pDst++ = (q31_t) (acc1 << 1);
+    *pDst++ = (q31_t) (acc2 << 1);
+    *pDst++ = (q31_t) (acc3 << 1);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining samples */
+  blkCnt = outBlockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = outBlockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    acc0 = 0;
+
+    /* Initialize state pointer */
+    px0 = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-1] sample */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-2] sample */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-3] sample */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of taps */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = (q31_t) (acc0 << 1);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining taps */
+  tapCnt = (numTaps - 1U) % 0x04U;
+
+#else
+
+  /* Initialize tapCnt with number of taps */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+
+/**
+  @} end of FIR_decimate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
new file mode 100644
index 0000000..851fba2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
@@ -0,0 +1,105 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_decimate_init_f32.c
+ * Description:  Floating-point FIR Decimator initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_decimate
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point FIR decimator.
+  @param[in,out] S          points to an instance of the floating-point FIR decimator structure
+  @param[in]     numTaps    number of coefficients in the filter
+  @param[in]     M          decimation factor
+  @param[in]     pCoeffs    points to the filter coefficients
+  @param[in]     pState     points to the state buffer
+  @param[in]     blockSize  number of input samples to process per call
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS      : Operation successful
+                   - \ref ARM_MATH_LENGTH_ERROR : <code>blockSize</code> is not a multiple of <code>M</code>
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+  @par
+                   <code>pState</code> points to the array of state variables.
+                   <code>pState</code> is of length <code>numTaps+blockSize-1</code> words where <code>blockSize</code> is the number of input samples passed to <code>arm_fir_decimate_f32()</code>.
+                   <code>M</code> is the decimation factor.
+ */
+
+arm_status arm_fir_decimate_init_f32(
+        arm_fir_decimate_instance_f32 * S,
+        uint16_t numTaps,
+        uint8_t M,
+  const float32_t * pCoeffs,
+        float32_t * pState,
+        uint32_t blockSize)
+{
+  arm_status status;
+
+  /* The size of the input block must be a multiple of the decimation factor */
+  if ((blockSize % M) != 0U)
+  {
+    /* Set status as ARM_MATH_LENGTH_ERROR */
+    status = ARM_MATH_LENGTH_ERROR;
+  }
+  else
+  {
+    /* Assign filter taps */
+    S->numTaps = numTaps;
+
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */
+    memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    /* Assign Decimation Factor */
+    S->M = M;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+
+}
+
+/**
+  @} end of FIR_decimate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
new file mode 100644
index 0000000..1c9894f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
@@ -0,0 +1,106 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_decimate_init_q15.c
+ * Description:  Initialization function for the Q15 FIR Decimator
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_decimate
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q15 FIR decimator.
+  @param[in,out] S          points to an instance of the Q15 FIR decimator structure
+  @param[in]     numTaps    number of coefficients in the filter
+  @param[in]     M          decimation factor
+  @param[in]     pCoeffs    points to the filter coefficients
+  @param[in]     pState     points to the state buffer
+  @param[in]     blockSize  number of input samples to process
+  @return        execution  status
+                   - \ref ARM_MATH_SUCCESS      : Operation successful
+                   - \ref ARM_MATH_LENGTH_ERROR : <code>blockSize</code> is not a multiple of <code>M</code>
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+  @par
+                   <code>pState</code> points to the array of state variables.
+                   <code>pState</code> is of length <code>numTaps+blockSize-1</code> words where <code>blockSize</code> is the number of input samples
+                   to the call <code>arm_fir_decimate_q15()</code>.
+                   <code>M</code> is the decimation factor.
+ */
+
+arm_status arm_fir_decimate_init_q15(
+        arm_fir_decimate_instance_q15 * S,
+        uint16_t numTaps,
+        uint8_t M,
+  const q15_t * pCoeffs,
+        q15_t * pState,
+        uint32_t blockSize)
+{
+  arm_status status;
+
+  /* The size of the input block must be a multiple of the decimation factor */
+  if ((blockSize % M) != 0U)
+  {
+    /* Set status as ARM_MATH_LENGTH_ERROR */
+    status = ARM_MATH_LENGTH_ERROR;
+  }
+  else
+  {
+    /* Assign filter taps */
+    S->numTaps = numTaps;
+
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */
+    memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    /* Assign Decimation Factor */
+    S->M = M;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+
+}
+
+/**
+  @} end of FIR_decimate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
new file mode 100644
index 0000000..6317ec8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
@@ -0,0 +1,105 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_decimate_init_q31.c
+ * Description:  Initialization function for Q31 FIR Decimation filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_decimate
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q31 FIR decimator.
+  @param[in,out] S          points to an instance of the Q31 FIR decimator structure
+  @param[in]     numTaps    number of coefficients in the filter
+  @param[in]     M          decimation factor
+  @param[in]     pCoeffs    points to the filter coefficients
+  @param[in]     pState     points to the state buffer
+  @param[in]     blockSize  number of input samples to process
+  @return        execution  status
+                   - \ref ARM_MATH_SUCCESS      : Operation successful
+                   - \ref ARM_MATH_LENGTH_ERROR : <code>blockSize</code> is not a multiple of <code>M</code>
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+  @par
+                   <code>pState</code> points to the array of state variables.
+                   <code>pState</code> is of length <code>numTaps+blockSize-1</code> words where <code>blockSize</code> is the number of input samples passed to <code>arm_fir_decimate_q31()</code>.
+                   <code>M</code> is the decimation factor.
+ */
+
+arm_status arm_fir_decimate_init_q31(
+        arm_fir_decimate_instance_q31 * S,
+        uint16_t numTaps,
+        uint8_t M,
+  const q31_t * pCoeffs,
+        q31_t * pState,
+        uint32_t blockSize)
+{
+  arm_status status;
+
+  /* The size of the input block must be a multiple of the decimation factor */
+  if ((blockSize % M) != 0U)
+  {
+    /* Set status as ARM_MATH_LENGTH_ERROR */
+    status = ARM_MATH_LENGTH_ERROR;
+  }
+  else
+  {
+    /* Assign filter taps */
+    S->numTaps = numTaps;
+
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */
+    memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    /* Assign Decimation Factor */
+    S->M = M;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+
+}
+
+/**
+  @} end of FIR_decimate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c
new file mode 100644
index 0000000..4179194
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c
@@ -0,0 +1,595 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_decimate_q15.c
+ * Description:  Q15 FIR Decimator
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_decimate
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q15 FIR decimator.
+  @param[in]     S          points to an instance of the Q15 FIR decimator structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of input samples to process per call
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+                   The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+                   There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+                   After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+                   Lastly, the accumulator is saturated to yield a result in 1.15 format.
+
+ @remark
+                   Refer to \ref arm_fir_decimate_fast_q15() for a faster but less precise implementation of this function.
+ */
+
+#if defined (ARM_MATH_DSP)
+
+void arm_fir_decimate_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pStateCur;                              /* Points to the current sample of the state */
+        q15_t *px;                                     /* Temporary pointer for state buffer */
+  const q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
+        q31_t x0, x1, c0;                              /* Temporary variables to hold state and coefficient values */
+        q63_t sum0;                                    /* Accumulators */
+        q63_t acc0, acc1;
+        q15_t *px0, *px1;
+        uint32_t blkCntN3;
+        uint32_t numTaps = S->numTaps;                 /* Number of taps */
+        uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t c1;                                      /* Temporary variables to hold state and coefficient values */
+#endif
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (numTaps - 1U);
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize / 2;
+  blkCntN3 = outBlockSize - (2 * blkCnt);
+
+  while (blkCnt > 0U)
+  {
+    /* Copy 2 * decimation factor number of new input samples into the state buffer */
+    i = S->M * 2;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    acc0 = 0;
+    acc1 = 0;
+
+    /* Initialize state pointer for all the samples */
+    px0 = pState;
+    px1 = pState + S->M;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] and b[numTaps-2] coefficients */
+      c0 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */
+      x0 = read_q15x2_ia (&px0);
+      x1 = read_q15x2_ia (&px1);
+
+      /* Perform the multiply-accumulate */
+      acc0 = __SMLALD(x0, c0, acc0);
+      acc1 = __SMLALD(x1, c0, acc1);
+
+      /* Read the b[numTaps-3] and b[numTaps-4] coefficient */
+      c0 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+      x0 = read_q15x2_ia (&px0);
+      x1 = read_q15x2_ia (&px1);
+
+      /* Perform the multiply-accumulate */
+      acc0 = __SMLALD(x0, c0, acc0);
+      acc1 = __SMLALD(x1, c0, acc1);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of taps */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch state variables for acc0, acc1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 = __SMLALD(x0, c0, acc0);
+      acc1 = __SMLALD(x1, c0, acc1);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M * 2;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  while (blkCntN3 > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] and b[numTaps-2] coefficients */
+      c0 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* Read x[n-numTaps-1] and x[n-numTaps-2] sample */
+      x0 = read_q15x2_ia (&px);
+
+      /* Read the b[numTaps-3] and b[numTaps-4] coefficients */
+      c1 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* Perform the multiply-accumulate */
+      sum0 = __SMLALD(x0, c0, sum0);
+
+      /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */
+      x0 = read_q15x2_ia (&px);
+
+      /* Perform the multiply-accumulate */
+      sum0 = __SMLALD(x0, c1, sum0);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of taps */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 = __SMLALD(x0, c0, sum0);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+    /* Decrement loop counter */
+    blkCntN3--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+  i = (numTaps - 1U) >> 2U;
+
+  /* copy data */
+  while (i > 0U)
+  {
+    write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+    write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+
+    /* Decrement loop counter */
+    i--;
+  }
+
+  i = (numTaps - 1U) % 0x04U;
+
+  /* Copy data */
+  while (i > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    i--;
+  }
+
+}
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+void arm_fir_decimate_q15(
+  const arm_fir_decimate_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pStateCur;                              /* Points to the current sample of the state */
+        q15_t *px;                                     /* Temporary pointer for state buffer */
+  const q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
+        q15_t x0, x1, c0;                              /* Temporary variables to hold state and coefficient values */
+        q63_t sum0;                                    /* Accumulators */
+        q63_t acc0, acc1;
+        q15_t *px0, *px1;
+        uint32_t blkCntN3;
+        uint32_t numTaps = S->numTaps;                 /* Number of taps */
+        uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (numTaps - 1U);
+
+  /* Total number of output samples to be computed */
+  blkCnt = outBlockSize / 2;
+  blkCntN3 = outBlockSize - (2 * blkCnt);
+
+  while (blkCnt > 0U)
+  {
+    /* Copy 2 * decimation factor number of new input samples into the state buffer */
+    i = S->M * 2;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    acc0 = 0;
+    acc1 = 0;
+
+    /* Initialize state pointer */
+    px0 = pState;
+    px1 = pState + S->M;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the Read b[numTaps-1] coefficients */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-1] for sample 0 and for sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-2] for sample 0 and sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Read the b[numTaps-3] coefficients */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-3] for sample 0 and sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-4] for sample 0 and sample 1 */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of taps */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px0++;
+      x1 = *px1++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M * 2;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+    *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16));
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  while (blkCntN3 > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    sum0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-1] sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-2] sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-3] sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of taps */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px++;
+
+      /* Perform the multiply-accumulate */
+      sum0 += x0 * c0;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* Store filter output, smlad returns the values in 2.14 format */
+    /* so downsacle by 15 to get output in 1.15 */
+    *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+    /* Decrement loop counter */
+    blkCntN3--;
+  }
+
+  /* Processing is complete.
+   ** Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+  i = (numTaps - 1U) >> 2U;
+
+  /* copy data */
+  while (i > 0U)
+  {
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    i--;
+  }
+
+  i = (numTaps - 1U) % 0x04U;
+
+  /* copy data */
+  while (i > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    i--;
+  }
+}
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+/**
+  @} end of FIR_decimate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c
new file mode 100644
index 0000000..41cea04
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c
@@ -0,0 +1,387 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_decimate_q31.c
+ * Description:  Q31 FIR Decimator
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_decimate
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 FIR decimator.
+  @param[in]     S          points to an instance of the Q31 FIR decimator structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   Thus, if the accumulator result overflows it wraps around rather than clip.
+                   In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2).
+                   After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.
+
+ @remark
+                   Refer to \ref arm_fir_decimate_fast_q31() for a faster but less precise implementation of this function.
+ */
+
+void arm_fir_decimate_q31(
+  const arm_fir_decimate_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                     /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *pStateCur;                              /* Points to the current sample of the state */
+        q31_t *px0;                                    /* Temporary pointer for state buffer */
+  const q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
+        q31_t x0, c0;                                  /* Temporary variables to hold state and coefficient values */
+        q63_t acc0;                                    /* Accumulator */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M;  /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t *px1, *px2, *px3;
+        q31_t x1, x2, x3;
+        q63_t acc1, acc2, acc3;
+#endif
+
+  /* S->pState buffer contains previous frame (numTaps - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (numTaps - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 samples at a time */
+  blkCnt = outBlockSize >> 2U;
+
+  /* Samples loop unrolled by 4 */
+  while (blkCnt > 0U)
+  {
+    /* Copy 4 * decimation factor number of new input samples into the state buffer */
+    i = S->M * 4;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Initialize state pointer for all the samples */
+    px0 = pState;
+    px1 = pState + S->M;
+    px2 = pState + 2 * S->M;
+    px3 = pState + 3 * S->M;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-1] sample for acc0 */
+      x0 = *(px0++);
+      /* Read x[n-numTaps-1] sample for acc1 */
+      x1 = *(px1++);
+      /* Read x[n-numTaps-1] sample for acc2 */
+      x2 = *(px2++);
+      /* Read x[n-numTaps-1] sample for acc3 */
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += (q63_t) x0 * c0;
+      acc1 += (q63_t) x1 * c0;
+      acc2 += (q63_t) x2 * c0;
+      acc3 += (q63_t) x3 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += (q63_t) x0 * c0;
+      acc1 += (q63_t) x1 * c0;
+      acc2 += (q63_t) x2 * c0;
+      acc3 += (q63_t) x3 * c0;
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += (q63_t) x0 * c0;
+      acc1 += (q63_t) x1 * c0;
+      acc2 += (q63_t) x2 * c0;
+      acc3 += (q63_t) x3 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += (q63_t) x0 * c0;
+      acc1 += (q63_t) x1 * c0;
+      acc2 += (q63_t) x2 * c0;
+      acc3 += (q63_t) x3 * c0;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch state variables for acc0, acc1, acc2, acc3 */
+      x0 = *(px0++);
+      x1 = *(px1++);
+      x2 = *(px2++);
+      x3 = *(px3++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += (q63_t) x0 * c0;
+      acc1 += (q63_t) x1 * c0;
+      acc2 += (q63_t) x2 * c0;
+      acc3 += (q63_t) x3 * c0;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M * 4;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = (q31_t) (acc0 >> 31);
+    *pDst++ = (q31_t) (acc1 >> 31);
+    *pDst++ = (q31_t) (acc2 >> 31);
+    *pDst++ = (q31_t) (acc3 >> 31);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining samples */
+  blkCnt = outBlockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = outBlockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Copy decimation factor number of new input samples into the state buffer */
+    i = S->M;
+
+    do
+    {
+      *pStateCur++ = *pSrc++;
+
+    } while (--i);
+
+    /* Set accumulator to zero */
+    acc0 = 0;
+
+    /* Initialize state pointer */
+    px0 = pState;
+
+    /* Initialize coeff pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-1] sample */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += (q63_t) x0 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-2] sample */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += (q63_t) x0 * c0;
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-3] sample */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += (q63_t) x0 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *pb++;
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += (q63_t) x0 * c0;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of taps */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *pb++;
+
+      /* Fetch 1 state variable */
+      x0 = *px0++;
+
+      /* Perform the multiply-accumulate */
+      acc0 += (q63_t) x0 * c0;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by the decimation factor
+     * to process the next group of decimation factor number samples */
+    pState = pState + S->M;
+
+    /* The result is in the accumulator, store in the destination buffer. */
+    *pDst++ = (q31_t) (acc0 >> 31);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the satrt of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining taps */
+  tapCnt = (numTaps - 1U) % 0x04U;
+
+#else
+
+  /* Initialize tapCnt with number of taps */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+
+/**
+  @} end of FIR_decimate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c
new file mode 100644
index 0000000..8e5c777
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c
@@ -0,0 +1,715 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_f32.c
+ * Description:  Floating-point FIR filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @defgroup FIR Finite Impulse Response (FIR) Filters
+
+  This set of functions implements Finite Impulse Response (FIR) filters
+  for Q7, Q15, Q31, and floating-point data types.  Fast versions of Q15 and Q31 are also provided.
+  The functions operate on blocks of input and output data and each call to the function processes
+  <code>blockSize</code> samples through the filter.  <code>pSrc</code> and
+  <code>pDst</code> points to input and output arrays containing <code>blockSize</code> values.
+
+  @par           Algorithm
+                   The FIR filter algorithm is based upon a sequence of multiply-accumulate (MAC) operations.
+                   Each filter coefficient <code>b[n]</code> is multiplied by a state variable which equals a previous input sample <code>x[n]</code>.
+  <pre>
+      y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]
+  </pre>
+  @par
+                   \image html FIR.GIF "Finite Impulse Response filter"
+  @par
+                   <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>.
+                   Coefficients are stored in time reversed order.
+  @par
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+  @par
+                   <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>.
+                   Samples in the state buffer are stored in the following order.
+  @par
+  <pre>
+      {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+  </pre>
+  @par
+                   Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code>.
+                   The increased state buffer length allows circular addressing, which is traditionally used in the FIR filters,
+                   to be avoided and yields a significant speed improvement.
+                   The state variables are updated after each block of data is processed; the coefficients are untouched.
+
+  @par           Instance Structure
+                   The coefficients and state variables for a filter are stored together in an instance data structure.
+                   A separate instance structure must be defined for each filter.
+                   Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+                   There are separate instance structure declarations for each of the 4 supported data types.
+
+  @par           Initialization Functions
+                   There is also an associated initialization function for each data type.
+                   The initialization function performs the following operations:
+                   - Sets the values of the internal structure fields.
+                   - Zeros out the values in the state buffer.
+                   To do this manually without calling the init function, assign the follow subfields of the instance structure:
+                   numTaps, pCoeffs, pState. Also set all of the values in pState to zero.
+  @par
+                   Use of the initialization function is optional.
+                   However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+                   To place an instance structure into a const data section, the instance structure must be manually initialized.
+                   Set the values in the state buffer to zeros before static initialization.
+                   The code below statically initializes each of the 4 different data type filter instance structures
+  <pre>
+      arm_fir_instance_f32 S = {numTaps, pState, pCoeffs};
+      arm_fir_instance_q31 S = {numTaps, pState, pCoeffs};
+      arm_fir_instance_q15 S = {numTaps, pState, pCoeffs};
+      arm_fir_instance_q7 S =  {numTaps, pState, pCoeffs};
+  </pre>
+                   where <code>numTaps</code> is the number of filter coefficients in the filter; <code>pState</code> is the address of the state buffer;
+                   <code>pCoeffs</code> is the address of the coefficient buffer.
+
+  @par           Fixed-Point Behavior
+                   Care must be taken when using the fixed-point versions of the FIR filter functions.
+                   In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+                   Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+  @addtogroup FIR
+  @{
+ */
+
+/**
+  @brief         Processing function for floating-point FIR filter.
+  @param[in]     S          points to an instance of the floating-point FIR filter structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+ */
+#if defined(ARM_MATH_NEON)
+
+void arm_fir_f32(
+const arm_fir_instance_f32 * S,
+const float32_t * pSrc,
+float32_t * pDst,
+uint32_t blockSize)
+{
+   float32_t *pState = S->pState;                 /* State pointer */
+   const float32_t *pCoeffs = S->pCoeffs;         /* Coefficient pointer */
+   float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+   float32_t *px;                                 /* Temporary pointers for state buffer */
+   const float32_t *pb;                           /* Temporary pointers for coefficient buffer */
+   uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+   uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+
+   float32x4_t accv0,accv1,samples0,samples1,x0,x1,x2,xa,xb,x,b,accv;
+   uint32x4_t x0_u,x1_u,x2_u,xa_u,xb_u;
+   float32_t acc;
+
+   /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+   /* pStateCurnt points to the location where the new input data should be written */
+   pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+   /* Loop unrolling */
+   blkCnt = blockSize >> 3;
+
+   while (blkCnt > 0U)
+   {
+      /* Copy 8 samples at a time into state buffers */
+      samples0 = vld1q_f32(pSrc);
+      vst1q_f32(pStateCurnt,samples0);
+
+      pStateCurnt += 4;
+      pSrc += 4 ;
+
+      samples1 = vld1q_f32(pSrc);
+      vst1q_f32(pStateCurnt,samples1);
+
+      pStateCurnt += 4;
+      pSrc += 4 ;
+
+      /* Set the accumulators to zero */
+      accv0 = vdupq_n_f32(0);
+      accv1 = vdupq_n_f32(0);
+
+      /* Initialize state pointer */
+      px = pState;
+
+      /* Initialize coefficient pointer */
+      pb = pCoeffs;
+
+      /* Loop unroling */
+      i = numTaps >> 2;
+
+      /* Perform the multiply-accumulates */
+      x0 = vld1q_f32(px);
+      x1 = vld1q_f32(px + 4);
+
+      while(i > 0)
+      {
+         /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+         x2 = vld1q_f32(px + 8);
+         b = vld1q_f32(pb);
+         xa = x0;
+         xb = x1;
+         accv0 = vmlaq_n_f32(accv0,xa,b[0]);
+         accv1 = vmlaq_n_f32(accv1,xb,b[0]);
+
+         xa = vextq_f32(x0,x1,1);
+         xb = vextq_f32(x1,x2,1);
+         
+	 accv0 = vmlaq_n_f32(accv0,xa,b[1]);
+         accv1 = vmlaq_n_f32(accv1,xb,b[1]);
+
+	 xa = vextq_f32(x0,x1,2);
+         xb = vextq_f32(x1,x2,2);
+
+         accv0 = vmlaq_n_f32(accv0,xa,b[2]);
+         accv1 = vmlaq_n_f32(accv1,xb,b[2]);
+
+	 xa = vextq_f32(x0,x1,3);
+	 xb = vextq_f32(x1,x2,3);
+         
+ 	 accv0 = vmlaq_n_f32(accv0,xa,b[3]);
+         accv1 = vmlaq_n_f32(accv1,xb,b[3]);
+
+         pb += 4;
+         x0 = x1;
+         x1 = x2;
+         px += 4;
+         i--;
+
+      }
+
+      /* Tail */
+      i = numTaps & 3;
+      x2 = vld1q_f32(px + 8);
+
+      /* Perform the multiply-accumulates */
+      switch(i)
+      {
+         case 3:
+         {
+           accv0 = vmlaq_n_f32(accv0,x0,*pb);
+           accv1 = vmlaq_n_f32(accv1,x1,*pb);
+
+           pb++;
+
+	   xa = vextq_f32(x0,x1,1);
+	   xb = vextq_f32(x1,x2,1);
+
+           accv0 = vmlaq_n_f32(accv0,xa,*pb);
+           accv1 = vmlaq_n_f32(accv1,xb,*pb);
+
+           pb++;
+
+           xa = vextq_f32(x0,x1,2);
+           xb = vextq_f32(x1,x2,2);
+           
+	   accv0 = vmlaq_n_f32(accv0,xa,*pb);
+           accv1 = vmlaq_n_f32(accv1,xb,*pb);
+
+         }
+         break;
+         case 2:
+         {
+           accv0 = vmlaq_n_f32(accv0,x0,*pb);
+           accv1 = vmlaq_n_f32(accv1,x1,*pb);
+
+           pb++;
+
+           xa = vextq_f32(x0,x1,1);
+           xb = vextq_f32(x1,x2,1);
+           
+	   accv0 = vmlaq_n_f32(accv0,xa,*pb);
+           accv1 = vmlaq_n_f32(accv1,xb,*pb);
+
+         }
+         break;
+         case 1:
+         {
+           
+           accv0 = vmlaq_n_f32(accv0,x0,*pb);
+           accv1 = vmlaq_n_f32(accv1,x1,*pb);
+
+         }
+         break;
+         default:
+         break;
+      }
+
+      /* The result is stored in the destination buffer. */
+      vst1q_f32(pDst,accv0);
+      pDst += 4;
+      vst1q_f32(pDst,accv1);
+      pDst += 4;
+
+      /* Advance state pointer by 8 for the next 8 samples */
+      pState = pState + 8;
+
+      blkCnt--;
+   }
+
+   /* Tail */
+   blkCnt = blockSize & 0x7;
+
+   while (blkCnt > 0U)
+   {
+      /* Copy one sample at a time into state buffer */
+      *pStateCurnt++ = *pSrc++;
+
+      /* Set the accumulator to zero */
+      acc = 0.0f;
+
+      /* Initialize state pointer */
+      px = pState;
+
+      /* Initialize Coefficient pointer */
+      pb = pCoeffs;
+
+      i = numTaps;
+
+      /* Perform the multiply-accumulates */
+      do
+      {
+         /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+         acc += *px++ * *pb++;
+         i--;
+
+      } while (i > 0U);
+
+      /* The result is stored in the destination buffer. */
+      *pDst++ = acc;
+
+      /* Advance state pointer by 1 for the next sample */
+      pState = pState + 1;
+
+      blkCnt--;
+   }
+
+   /* Processing is complete.
+   ** Now copy the last numTaps - 1 samples to the starting of the state buffer.
+   ** This prepares the state buffer for the next function call. */
+
+   /* Points to the start of the state buffer */
+   pStateCurnt = S->pState;
+
+   /* Copy numTaps number of values */
+   tapCnt = numTaps - 1U;
+
+   /* Copy data */
+   while (tapCnt > 0U)
+   {
+      *pStateCurnt++ = *pState++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+   }
+
+}
+#else
+void arm_fir_f32(
+  const arm_fir_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+        float32_t *px;                                 /* Temporary pointer for state buffer */
+  const float32_t *pb;                                 /* Temporary pointer for coefficient buffer */
+        float32_t acc0;                                /* Accumulator */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        float32_t acc1, acc2, acc3, acc4, acc5, acc6, acc7;     /* Accumulators */
+        float32_t x0, x1, x2, x3, x4, x5, x6, x7;               /* Temporary variables to hold state values */
+        float32_t c0;                                           /* Temporary variable to hold coefficient value */
+#endif
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 8 output values simultaneously.
+   * The variables acc0 ... acc7 hold output values that are being computed:
+   *
+   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+   *    acc1 =  b[numTaps-1] * x[n-numTaps]   + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps]   + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]
+   */
+
+  blkCnt = blockSize >> 3U;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy 4 new input samples into the state buffer. */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set all accumulators to zero */
+    acc0 = 0.0f;
+    acc1 = 0.0f;
+    acc2 = 0.0f;
+    acc3 = 0.0f;
+    acc4 = 0.0f;
+    acc5 = 0.0f;
+    acc6 = 0.0f;
+    acc7 = 0.0f;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* This is separated from the others to avoid
+     * a call to __aeabi_memmove which would be slower
+     */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Read the first 7 samples from the state buffer:  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+    x0 = *px++;
+    x1 = *px++;
+    x2 = *px++;
+    x3 = *px++;
+    x4 = *px++;
+    x5 = *px++;
+    x6 = *px++;
+
+    /* Loop unrolling: process 8 taps at a time. */
+    tapCnt = numTaps >> 3U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-3] sample */
+      x7 = *(px++);
+
+      /* acc0 +=  b[numTaps-1] * x[n-numTaps] */
+      acc0 += x0 * c0;
+
+      /* acc1 +=  b[numTaps-1] * x[n-numTaps-1] */
+      acc1 += x1 * c0;
+
+      /* acc2 +=  b[numTaps-1] * x[n-numTaps-2] */
+      acc2 += x2 * c0;
+
+      /* acc3 +=  b[numTaps-1] * x[n-numTaps-3] */
+      acc3 += x3 * c0;
+
+      /* acc4 +=  b[numTaps-1] * x[n-numTaps-4] */
+      acc4 += x4 * c0;
+
+      /* acc1 +=  b[numTaps-1] * x[n-numTaps-5] */
+      acc5 += x5 * c0;
+
+      /* acc2 +=  b[numTaps-1] * x[n-numTaps-6] */
+      acc6 += x6 * c0;
+
+      /* acc3 +=  b[numTaps-1] * x[n-numTaps-7] */
+      acc7 += x7 * c0;
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulate */
+      acc0 += x1 * c0;
+      acc1 += x2 * c0;
+      acc2 += x3 * c0;
+      acc3 += x4 * c0;
+      acc4 += x5 * c0;
+      acc5 += x6 * c0;
+      acc6 += x7 * c0;
+      acc7 += x0 * c0;
+
+      /* Read the b[numTaps-3] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-5] sample */
+      x1 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += x2 * c0;
+      acc1 += x3 * c0;
+      acc2 += x4 * c0;
+      acc3 += x5 * c0;
+      acc4 += x6 * c0;
+      acc5 += x7 * c0;
+      acc6 += x0 * c0;
+      acc7 += x1 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-6] sample */
+      x2 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += x3 * c0;
+      acc1 += x4 * c0;
+      acc2 += x5 * c0;
+      acc3 += x6 * c0;
+      acc4 += x7 * c0;
+      acc5 += x0 * c0;
+      acc6 += x1 * c0;
+      acc7 += x2 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-6] sample */
+      x3 = *(px++);
+      /* Perform the multiply-accumulates */
+      acc0 += x4 * c0;
+      acc1 += x5 * c0;
+      acc2 += x6 * c0;
+      acc3 += x7 * c0;
+      acc4 += x0 * c0;
+      acc5 += x1 * c0;
+      acc6 += x2 * c0;
+      acc7 += x3 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-6] sample */
+      x4 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += x5 * c0;
+      acc1 += x6 * c0;
+      acc2 += x7 * c0;
+      acc3 += x0 * c0;
+      acc4 += x1 * c0;
+      acc5 += x2 * c0;
+      acc6 += x3 * c0;
+      acc7 += x4 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-6] sample */
+      x5 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += x6 * c0;
+      acc1 += x7 * c0;
+      acc2 += x0 * c0;
+      acc3 += x1 * c0;
+      acc4 += x2 * c0;
+      acc5 += x3 * c0;
+      acc6 += x4 * c0;
+      acc7 += x5 * c0;
+
+      /* Read the b[numTaps-4] coefficient */
+      c0 = *(pb++);
+
+      /* Read x[n-numTaps-6] sample */
+      x6 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += x7 * c0;
+      acc1 += x0 * c0;
+      acc2 += x1 * c0;
+      acc3 += x2 * c0;
+      acc4 += x3 * c0;
+      acc5 += x4 * c0;
+      acc6 += x5 * c0;
+      acc7 += x6 * c0;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    tapCnt = numTaps % 0x8U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch 1 state variable */
+      x7 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += x0 * c0;
+      acc1 += x1 * c0;
+      acc2 += x2 * c0;
+      acc3 += x3 * c0;
+      acc4 += x4 * c0;
+      acc5 += x5 * c0;
+      acc6 += x6 * c0;
+      acc7 += x7 * c0;
+
+      /* Reuse the present sample states for next sample */
+      x0 = x1;
+      x1 = x2;
+      x2 = x3;
+      x3 = x4;
+      x4 = x5;
+      x5 = x6;
+      x6 = x7;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by 8 to process the next group of 8 samples */
+    pState = pState + 8;
+
+    /* The results in the 8 accumulators, store in the destination buffer. */
+    *pDst++ = acc0;
+    *pDst++ = acc1;
+    *pDst++ = acc2;
+    *pDst++ = acc3;
+    *pDst++ = acc4;
+    *pDst++ = acc5;
+    *pDst++ = acc6;
+    *pDst++ = acc7;
+
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining output samples */
+  blkCnt = blockSize % 0x8U;
+
+#else
+
+  /* Initialize blkCnt with number of taps */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Copy one sample at a time into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc0 = 0.0f;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize Coefficient pointer */
+    pb = pCoeffs;
+
+    i = numTaps;
+
+    /* Perform the multiply-accumulates */
+    do
+    {
+      /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+      acc0 += *px++ * *pb++;
+
+      i--;
+    } while (i > 0U);
+
+    /* Store result in destination buffer. */
+    *pDst++ = acc0;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the start of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+  /* Initialize tapCnt with number of taps */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Copy remaining data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+/**
+* @} end of FIR group
+*/
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c
new file mode 100644
index 0000000..c81c809
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c
@@ -0,0 +1,332 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_fast_q15.c
+ * Description:  Q15 Fast FIR filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q15 FIR filter (fast version).
+  @param[in]     S          points to an instance of the Q15 FIR filter structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   This fast version uses a 32-bit accumulator with 2.30 format.
+                   The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   Thus, if the accumulator result overflows it wraps around and distorts the result.
+                   In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.
+                   The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result.
+
+  @remark
+                   Refer to \ref arm_fir_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion.  Both the slow and the fast versions use the same instance structure.
+                   Use function \ref arm_fir_init_q15() to initialize the filter structure.
+ */
+
+void arm_fir_fast_q15(
+  const arm_fir_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q15_t *px;                                     /* Temporary pointer for state buffer */
+  const q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
+        q31_t acc0;                                    /* Accumulators */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t tapCnt, blkCnt;                       /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t acc1, acc2, acc3;                        /* Accumulators */
+        q31_t x0, x1, x2, c0;                          /* Temporary variables to hold state and coefficient values */
+#endif
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 output values simultaneously.
+   * The variables acc0 ... acc3 hold output values that are being computed:
+   *
+   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+   *    acc1 =  b[numTaps-1] * x[n-numTaps]   + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps]   + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]
+   */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy 4 new input samples into the state buffer. */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set all accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */
+    px = pState;
+
+    /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */
+    pb = pCoeffs;
+
+    /* Read the first two samples from the state buffer:  x[n-N], x[n-N-1] */
+    x0 = read_q15x2_ia (&px);
+
+    /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */
+    x2 = read_q15x2_ia (&px);
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.
+       Repeat until we've computed numTaps-(numTaps%4) coefficients. */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the first two coefficients using SIMD:  b[N] and b[N-1] coefficients */
+      c0 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* acc0 +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+      acc0 = __SMLAD(x0, c0, acc0);
+
+      /* acc2 +=  b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
+      acc2 = __SMLAD(x2, c0, acc2);
+
+      /* pack  x[n-N-1] and x[n-N-2] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x2, x0, 0);
+#else
+      x1 = __PKHBT(x0, x2, 0);
+#endif
+
+      /* Read state x[n-N-4], x[n-N-5] */
+      x0 = read_q15x2_ia (&px);
+
+      /* acc1 +=  b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
+      acc1 = __SMLADX(x1, c0, acc1);
+
+      /* pack  x[n-N-3] and x[n-N-4] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x0, x2, 0);
+#else
+      x1 = __PKHBT(x2, x0, 0);
+#endif
+
+      /* acc3 +=  b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
+      acc3 = __SMLADX(x1, c0, acc3);
+
+      /* Read coefficients b[N-2], b[N-3] */
+      c0 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* acc0 +=  b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
+      acc0 = __SMLAD(x2, c0, acc0);
+
+      /* Read state x[n-N-6], x[n-N-7] with offset */
+      x2 = read_q15x2_ia (&px);
+
+      /* acc2 +=  b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
+      acc2 = __SMLAD(x0, c0, acc2);
+
+      /* acc1 +=  b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
+      acc1 = __SMLADX(x1, c0, acc1);
+
+      /* pack  x[n-N-5] and x[n-N-6] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x2, x0, 0);
+#else
+      x1 = __PKHBT(x0, x2, 0);
+#endif
+
+      /* acc3 +=  b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
+      acc3 = __SMLADX(x1, c0, acc3);
+
+      /* Decrement tap count */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps.
+       This is always be 2 taps since the filter length is even. */
+    if ((numTaps & 0x3U) != 0U)
+    {
+      /* Read last two coefficients */
+      c0 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* Perform the multiply-accumulates */
+      acc0 = __SMLAD(x0, c0, acc0);
+      acc2 = __SMLAD(x2, c0, acc2);
+
+      /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x2, x0, 0);
+#else
+      x1 = __PKHBT(x0, x2, 0);
+#endif
+
+      /* Read last state variables */
+      x0 = read_q15x2 (px);
+
+      /* Perform the multiply-accumulates */
+      acc1 = __SMLADX(x1, c0, acc1);
+
+      /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x0, x2, 0);
+#else
+      x1 = __PKHBT(x2, x0, 0);
+#endif
+
+      /* Perform the multiply-accumulates */
+      acc3 = __SMLADX(x1, c0, acc3);
+    }
+
+    /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation.
+       Then store the 4 outputs in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+    write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+    write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+    write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+    write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 4U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining output samples */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of taps */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Copy two samples into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc0 = 0;
+
+    /* Use SIMD to hold states and coefficients */
+    px = pState;
+    pb = pCoeffs;
+
+    tapCnt = numTaps >> 1U;
+
+    do
+    {
+      acc0 += (q31_t) *px++ * *pb++;
+	  acc0 += (q31_t) *px++ * *pb++;
+
+      tapCnt--;
+    }
+    while (tapCnt > 0U);
+
+    /* The result is in 2.30 format. Convert to 1.15 with saturation.
+       Then store the output in the destination buffer. */
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the start of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+  /* Initialize tapCnt with number of taps */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Copy remaining data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+
+/**
+  @} end of FIR group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c
new file mode 100644
index 0000000..009e4e9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c
@@ -0,0 +1,324 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_fast_q31.c
+ * Description:  Processing function for the Q31 Fast FIR filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 FIR filter (fast version).
+  @param[in]     S          points to an instance of the Q31 structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   This function is optimized for speed at the expense of fixed-point precision and overflow protection.
+                   The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format.
+                   These intermediate results are added to a 2.30 accumulator.
+                   Finally, the accumulator is saturated and converted to a 1.31 result.
+                   The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result.
+                   In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.
+
+ @remark
+                   Refer to \ref arm_fir_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision.  Both the slow and the fast versions use the same instance structure.
+                   Use function \ref arm_fir_init_q31() to initialize the filter structure.
+ */
+
+IAR_ONLY_LOW_OPTIMIZATION_ENTER
+void arm_fir_fast_q31(
+  const arm_fir_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                     /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q31_t *px;                                     /* Temporary pointer for state buffer */
+  const q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
+        q31_t acc0;                                    /* Accumulators */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t acc1, acc2, acc3;                        /* Accumulators */
+        q31_t x0, x1, x2, x3, c0;                      /* Temporary variables to hold state and coefficient values */
+#endif
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 output values simultaneously.
+   * The variables acc0 ... acc3 hold output values that are being computed:
+   *
+   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+   *    acc1 =  b[numTaps-1] * x[n-numTaps]   + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps]   + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]
+   */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy 4 new input samples into the state buffer. */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set all accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Read the first 3 samples from the state buffer:
+     *  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+    x0 = *px++;
+    x1 = *px++;
+    x2 = *px++;
+
+    /* Loop unrolling. Process 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.
+       Repeat until we've computed numTaps-4 coefficients. */
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps] coefficient */
+      c0 = *pb;
+
+      /* Read x[n-numTaps-3] sample */
+      x3 = *px;
+
+      /* acc0 +=  b[numTaps] * x[n-numTaps] */
+      multAcc_32x32_keep32_R(acc0, x0, c0);
+
+      /* acc1 +=  b[numTaps] * x[n-numTaps-1] */
+      multAcc_32x32_keep32_R(acc1, x1, c0);
+
+      /* acc2 +=  b[numTaps] * x[n-numTaps-2] */
+      multAcc_32x32_keep32_R(acc2, x2, c0);
+
+      /* acc3 +=  b[numTaps] * x[n-numTaps-3] */
+      multAcc_32x32_keep32_R(acc3, x3, c0);
+
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb + 1U);
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *(px + 1U);
+
+      /* Perform the multiply-accumulates */
+      multAcc_32x32_keep32_R(acc0, x1, c0);
+      multAcc_32x32_keep32_R(acc1, x2, c0);
+      multAcc_32x32_keep32_R(acc2, x3, c0);
+      multAcc_32x32_keep32_R(acc3, x0, c0);
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb + 2U);
+
+      /* Read x[n-numTaps-5] sample */
+      x1 = *(px + 2U);
+
+      /* Perform the multiply-accumulates */
+      multAcc_32x32_keep32_R(acc0, x2, c0);
+      multAcc_32x32_keep32_R(acc1, x3, c0);
+      multAcc_32x32_keep32_R(acc2, x0, c0);
+      multAcc_32x32_keep32_R(acc3, x1, c0);
+
+      /* Read the b[numTaps-3] coefficients */
+      c0 = *(pb + 3U);
+
+      /* Read x[n-numTaps-6] sample */
+      x2 = *(px + 3U);
+
+      /* Perform the multiply-accumulates */
+      multAcc_32x32_keep32_R(acc0, x3, c0);
+      multAcc_32x32_keep32_R(acc1, x0, c0);
+      multAcc_32x32_keep32_R(acc2, x1, c0);
+      multAcc_32x32_keep32_R(acc3, x2, c0);
+
+      /* update coefficient pointer */
+      pb += 4U;
+      px += 4U;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch 1 state variable */
+      x3 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      multAcc_32x32_keep32_R(acc0, x0, c0);
+      multAcc_32x32_keep32_R(acc1, x1, c0);
+      multAcc_32x32_keep32_R(acc2, x2, c0);
+      multAcc_32x32_keep32_R(acc3, x3, c0);
+
+      /* Reuse the present sample states for next sample */
+      x0 = x1;
+      x1 = x2;
+      x2 = x3;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* The results in the 4 accumulators are in 2.30 format. Convert to 1.31
+       Then store the 4 outputs in the destination buffer. */
+    *pDst++ = (q31_t) (acc0 << 1);
+    *pDst++ = (q31_t) (acc1 << 1);
+    *pDst++ = (q31_t) (acc2 << 1);
+    *pDst++ = (q31_t) (acc3 << 1);
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 4U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining output samples */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of taps */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Copy one sample at a time into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize Coefficient pointer */
+    pb = pCoeffs;
+
+    i = numTaps;
+
+    /* Perform the multiply-accumulates */
+    do
+    {
+      multAcc_32x32_keep32_R(acc0, (*px++), (*pb++));
+      i--;
+    } while (i > 0U);
+
+    /* The result is in 2.30 format. Convert to 1.31
+       Then store the output in the destination buffer. */
+    *pDst++ = (q31_t) (acc0 << 1);
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the start of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+  /* Initialize tapCnt with number of taps */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Copy remaining data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+}
+IAR_ONLY_LOW_OPTIMIZATION_EXIT
+/**
+  @} end of FIR group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c
new file mode 100644
index 0000000..8002400
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c
@@ -0,0 +1,81 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_init_f32.c
+ * Description:  Floating-point FIR filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point FIR filter.
+  @param[in,out] S          points to an instance of the floating-point FIR filter structure
+  @param[in] 	 numTaps    number of filter coefficients in the filter
+  @param[in]     pCoeffs    points to the filter coefficients buffer
+  @param[in]     pState     points to the state buffer
+  @param[in]     blockSize  number of samples processed per call
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+  @par
+                   <code>pState</code> points to the array of state variables.
+                   <code>pState</code> is of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_f32()</code>.
+ */
+
+void arm_fir_init_f32(
+        arm_fir_instance_f32 * S,
+        uint16_t numTaps,
+  const float32_t * pCoeffs,
+        float32_t * pState,
+        uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+  memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of FIR group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c
new file mode 100644
index 0000000..66c69c0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c
@@ -0,0 +1,137 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_init_q15.c
+ * Description:  Q15 FIR filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q15 FIR filter.
+  @param[in,out] S          points to an instance of the Q15 FIR filter structure.
+  @param[in] 	 numTaps    number of filter coefficients in the filter. Must be even and greater than or equal to 4.
+  @param[in]     pCoeffs    points to the filter coefficients buffer.
+  @param[in]     pState     points to the state buffer.
+  @param[in]     blockSize  number of samples processed per call.
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>numTaps</code> is not greater than or equal to 4 and even
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+                   Note that <code>numTaps</code> must be even and greater than or equal to 4.
+                   To implement an odd length filter simply increase <code>numTaps</code> by 1 and set the last coefficient to zero.
+                   For example, to implement a filter with <code>numTaps=3</code> and coefficients
+  <pre>
+      {0.3, -0.8, 0.3}
+  </pre>
+                   set <code>numTaps=4</code> and use the coefficients:
+  <pre>
+      {0.3, -0.8, 0.3, 0}.
+  </pre>
+                   Similarly, to implement a two point filter
+  <pre>
+      {0.3, -0.3}
+  </pre>
+                   set <code>numTaps=4</code> and use the coefficients:
+  <pre>
+      {0.3, -0.3, 0, 0}.
+  </pre>
+                   <code>pState</code> points to the array of state variables.
+                   <code>pState</code> is of length <code>numTaps+blockSize</code>, when running on Cortex-M4 and Cortex-M3  and is of length <code>numTaps+blockSize-1</code>, when running on Cortex-M0 where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_q15()</code>.
+ */
+
+arm_status arm_fir_init_q15(
+        arm_fir_instance_q15 * S,
+        uint16_t numTaps,
+  const q15_t * pCoeffs,
+        q15_t * pState,
+        uint32_t blockSize)
+{
+  arm_status status;
+
+#if defined (ARM_MATH_DSP)
+
+  /* The Number of filter coefficients in the filter must be even and at least 4 */
+  if (numTaps & 0x1U)
+  {
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+  else
+  {
+    /* Assign filter taps */
+    S->numTaps = numTaps;
+
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Clear the state buffer.  The size is always (blockSize + numTaps ) */
+    memset(pState, 0, (numTaps + (blockSize)) * sizeof(q15_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+
+#else
+
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+  memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  status = ARM_MATH_SUCCESS;
+
+  return (status);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+  @} end of FIR group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c
new file mode 100644
index 0000000..00de3e1
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c
@@ -0,0 +1,80 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_init_q31.c
+ * Description:  Q31 FIR filter initialization function.
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q31 FIR filter.
+  @param[in,out] S          points to an instance of the Q31 FIR filter structure
+  @param[in] 	 numTaps    number of filter coefficients in the filter
+  @param[in]     pCoeffs    points to the filter coefficients buffer
+  @param[in]     pState     points to the state buffer
+  @param[in]     blockSize  number of samples processed
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+                   <code>pState</code> points to the array of state variables.
+                   <code>pState</code> is of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_q31()</code>.
+ */
+
+void arm_fir_init_q31(
+        arm_fir_instance_q31 * S,
+        uint16_t numTaps,
+  const q31_t * pCoeffs,
+        q31_t * pState,
+        uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+  memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of FIR group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c
new file mode 100644
index 0000000..1adb2e2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c
@@ -0,0 +1,81 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_init_q7.c
+ * Description:  Q7 FIR filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q7 FIR filter.
+  @param[in,out] S          points to an instance of the Q7 FIR filter structure
+  @param[in] 	 numTaps    number of filter coefficients in the filter
+  @param[in]     pCoeffs    points to the filter coefficients buffer
+  @param[in]     pState     points to the state buffer
+  @param[in]     blockSize  number of samples processed
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+  @par
+                   <code>pState</code> points to the array of state variables.
+                   <code>pState</code> is of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_q7()</code>.
+ */
+
+void arm_fir_init_q7(
+        arm_fir_instance_q7 * S,
+        uint16_t numTaps,
+  const q7_t * pCoeffs,
+        q7_t * pState,
+        uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer. The size is always (blockSize + numTaps - 1) */
+  memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q7_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of FIR group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c
new file mode 100644
index 0000000..471f25f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c
@@ -0,0 +1,914 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_interpolate_f32.c
+ * Description:  Floating-point FIR interpolation sequences
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @defgroup FIR_Interpolate Finite Impulse Response (FIR) Interpolator
+
+  These functions combine an upsampler (zero stuffer) and an FIR filter.
+  They are used in multirate systems for increasing the sample rate of a signal without introducing high frequency images.
+  Conceptually, the functions are equivalent to the block diagram below:
+  \image html FIRInterpolator.gif "Components included in the FIR Interpolator functions"
+  After upsampling by a factor of <code>L</code>, the signal should be filtered by a lowpass filter with a normalized
+  cutoff frequency of <code>1/L</code> in order to eliminate high frequency copies of the spectrum.
+  The user of the function is responsible for providing the filter coefficients.
+
+  The FIR interpolator functions provided in the CMSIS DSP Library combine the upsampler and FIR filter in an efficient manner.
+  The upsampler inserts <code>L-1</code> zeros between each sample.
+  Instead of multiplying by these zero values, the FIR filter is designed to skip them.
+  This leads to an efficient implementation without any wasted effort.
+  The functions operate on blocks of input and output data.
+  <code>pSrc</code> points to an array of <code>blockSize</code> input values and
+  <code>pDst</code> points to an array of <code>blockSize*L</code> output values.
+
+  The library provides separate functions for Q15, Q31, and floating-point data types.
+
+  @par           Algorithm
+                   The functions use a polyphase filter structure:
+  <pre>
+      y[n] = b[0] * x[n] + b[L]   * x[n-1] + ... + b[L*(phaseLength-1)] * x[n-phaseLength+1]
+      y[n+1] = b[1] * x[n] + b[L+1] * x[n-1] + ... + b[L*(phaseLength-1)+1] * x[n-phaseLength+1]
+      ...
+      y[n+(L-1)] = b[L-1] * x[n] + b[2*L-1] * x[n-1] + ....+ b[L*(phaseLength-1)+(L-1)] * x[n-phaseLength+1]
+  </pre>
+                   This approach is more efficient than straightforward upsample-then-filter algorithms.
+                   With this method the computation is reduced by a factor of <code>1/L</code> when compared to using a standard FIR filter.
+  @par
+                   <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>.
+                   <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code> and this is checked by the
+                   initialization functions.
+                   Internally, the function divides the FIR filter's impulse response into shorter filters of length
+                   <code>phaseLength=numTaps/L</code>.
+                   Coefficients are stored in time reversed order.
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+  @par
+                   <code>pState</code> points to a state array of size <code>blockSize + phaseLength - 1</code>.
+                   Samples in the state buffer are stored in the order:
+  <pre>
+     {x[n-phaseLength+1], x[n-phaseLength], x[n-phaseLength-1], x[n-phaseLength-2]....x[0], x[1], ..., x[blockSize-1]}
+  </pre>
+  @par
+                   The state variables are updated after each block of data is processed, the coefficients are untouched.
+
+  @par           Instance Structure
+                   The coefficients and state variables for a filter are stored together in an instance data structure.
+                   A separate instance structure must be defined for each filter.
+                   Coefficient arrays may be shared among several instances while state variable array should be allocated separately.
+                   There are separate instance structure declarations for each of the 3 supported data types.
+
+  @par           Initialization Functions
+                   There is also an associated initialization function for each data type.
+                   The initialization function performs the following operations:
+                   - Sets the values of the internal structure fields.
+                   - Zeros out the values in the state buffer.
+                   - Checks to make sure that the length of the filter is a multiple of the interpolation factor.
+                   To do this manually without calling the init function, assign the follow subfields of the instance structure:
+                   L (interpolation factor), pCoeffs, phaseLength (numTaps / L), pState. Also set all of the values in pState to zero.
+  @par
+                   Use of the initialization function is optional.
+                   However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+                   To place an instance structure into a const data section, the instance structure must be manually initialized.
+                   The code below statically initializes each of the 3 different data type filter instance structures
+  <pre>
+      arm_fir_interpolate_instance_f32 S = {L, phaseLength, pCoeffs, pState};
+      arm_fir_interpolate_instance_q31 S = {L, phaseLength, pCoeffs, pState};
+      arm_fir_interpolate_instance_q15 S = {L, phaseLength, pCoeffs, pState};
+  </pre>
+  @par
+                   where <code>L</code> is the interpolation factor; <code>phaseLength=numTaps/L</code> is the
+                   length of each of the shorter FIR filters used internally,
+                   <code>pCoeffs</code> is the address of the coefficient buffer;
+                   <code>pState</code> is the address of the state buffer.
+                   Be sure to set the values in the state buffer to zeros when doing static initialization.
+
+  @par           Fixed-Point Behavior
+                   Care must be taken when using the fixed-point versions of the FIR interpolate filter functions.
+                   In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+                   Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+  @addtogroup FIR_Interpolate
+  @{
+ */
+
+/**
+  @brief         Processing function for floating-point FIR interpolator.
+  @param[in]     S          points to an instance of the floating-point FIR interpolator structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+ */
+#if defined(ARM_MATH_NEON)
+void arm_fir_interpolate_f32(
+  const arm_fir_interpolate_instance_f32 * S,
+  const float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;         /* Coefficient pointer */
+  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+  float32_t *ptr1;                               /* Temporary pointers for state buffer */
+  const float32_t *ptr2;                         /* Temporary pointers for coefficient buffer */
+  float32_t sum0;                                /* Accumulators */
+  float32_t x0, c0;                              /* Temporary variables to hold state and coefficient values */
+  uint32_t i, blkCnt, j;                         /* Loop counters */
+  uint16_t phaseLen = S->phaseLength, tapCnt;    /* Length of each polyphase filter component */
+  float32_t acc0, acc1, acc2, acc3;
+  float32_t x1, x2, x3;
+  uint32_t blkCntN4;
+  float32_t c1, c2, c3;
+
+  float32x4_t sum0v;
+  float32x4_t accV,accV0,accV1;
+  float32x4_t x0v,x1v,x2v,xa,xb;
+  uint32x4_t x0v_u,x1v_u,x2v_u,xa_u,xb_u;
+  float32x2_t tempV;
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = S->pState + (phaseLen - 1U);
+
+  /* Initialise  blkCnt */
+  blkCnt = blockSize >> 3;
+  blkCntN4 = blockSize & 7;
+
+  /* Loop unrolling */
+  while (blkCnt > 0U)
+  {
+    /* Copy new input samples into the state buffer */
+    sum0v = vld1q_f32(pSrc);
+    vst1q_f32(pStateCurnt,sum0v);
+    pSrc += 4;
+    pStateCurnt += 4;
+
+    sum0v = vld1q_f32(pSrc);
+    vst1q_f32(pStateCurnt,sum0v);
+    pSrc += 4;
+    pStateCurnt += 4;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1U;
+
+    /* Loop over the Interpolation factor. */
+    i = (S->L);
+
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      accV0 = vdupq_n_f32(0.0);
+      accV1 = vdupq_n_f32(0.0);
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length. Unroll by a factor of 4.
+       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
+      tapCnt = phaseLen >> 2U;
+     
+      x0v = vld1q_f32(ptr1);
+      x1v = vld1q_f32(ptr1 + 4);
+	
+      while (tapCnt > 0U)
+      {
+        /* Read the input samples */
+        x2v = vld1q_f32(ptr1 + 8);
+
+        /* Read the coefficients */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        accV0 = vmlaq_n_f32(accV0,x0v,c0);
+        accV1 = vmlaq_n_f32(accV1,x1v,c0);
+       
+        /* Read the coefficients, inputs and perform multiply-accumulate */
+        c1 = *(ptr2 + S->L);
+	
+        xa = vextq_f32(x0v,x1v,1);
+        xb = vextq_f32(x1v,x2v,1);
+
+        accV0 = vmlaq_n_f32(accV0,xa,c1);
+        accV1 = vmlaq_n_f32(accV1,xb,c1);
+
+        /* Read the coefficients, inputs and perform multiply-accumulate */
+        c2 = *(ptr2 + S->L * 2);
+	
+        xa = vextq_f32(x0v,x1v,2);
+        xb = vextq_f32(x1v,x2v,2);
+        
+	accV0 = vmlaq_n_f32(accV0,xa,c2);
+        accV1 = vmlaq_n_f32(accV1,xb,c2);
+
+        /* Read the coefficients, inputs and perform multiply-accumulate */
+        c3 = *(ptr2 + S->L * 3);
+
+        xa = vextq_f32(x0v,x1v,3);
+        xb = vextq_f32(x1v,x2v,3);
+        
+	accV0 = vmlaq_n_f32(accV0,xa,c3);
+        accV1 = vmlaq_n_f32(accV1,xb,c3);
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.
+         * So instead of multiplying zeros with coefficients,
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += 4 * S->L;
+        ptr1 += 4;
+        x0v = x1v;
+        x1v = x2v;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+      tapCnt = phaseLen % 0x4U;
+
+      x2v = vld1q_f32(ptr1 + 8);
+
+      switch (tapCnt)
+      {
+        case 3:
+             c0 = *(ptr2);
+             accV0 = vmlaq_n_f32(accV0,x0v,c0);
+             accV1 = vmlaq_n_f32(accV1,x1v,c0);
+             ptr2 += S->L;
+
+             c0 = *(ptr2);
+
+             xa = vextq_f32(x0v,x1v,1);
+             xb = vextq_f32(x1v,x2v,1);
+
+             accV0 = vmlaq_n_f32(accV0,xa,c0);
+             accV1 = vmlaq_n_f32(accV1,xb,c0);
+             ptr2 += S->L;
+
+             c0 = *(ptr2);
+
+             xa = vextq_f32(x0v,x1v,2);
+             xb = vextq_f32(x1v,x2v,2);
+             
+	     accV0 = vmlaq_n_f32(accV0,xa,c0);
+             accV1 = vmlaq_n_f32(accV1,xb,c0);
+             ptr2 += S->L;
+
+        break;
+
+        case 2:
+             c0 = *(ptr2);
+             accV0 = vmlaq_n_f32(accV0,x0v,c0);
+             accV1 = vmlaq_n_f32(accV1,x1v,c0);
+             ptr2 += S->L;
+
+             c0 = *(ptr2);
+
+             xa = vextq_f32(x0v,x1v,1);
+             xb = vextq_f32(x1v,x2v,1);
+             
+	     accV0 = vmlaq_n_f32(accV0,xa,c0);
+             accV1 = vmlaq_n_f32(accV1,xb,c0);
+             ptr2 += S->L;
+
+        break;
+
+        case 1:
+             c0 = *(ptr2);
+             accV0 = vmlaq_n_f32(accV0,x0v,c0);
+             accV1 = vmlaq_n_f32(accV1,x1v,c0);
+             ptr2 += S->L;
+
+        break;
+
+        default:
+        break;
+        
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst = accV0[0];
+      *(pDst + S->L) = accV0[1];
+      *(pDst + 2 * S->L) = accV0[2];
+      *(pDst + 3 * S->L) = accV0[3];
+
+      *(pDst + 4 * S->L) = accV1[0];
+      *(pDst + 5 * S->L) = accV1[1];
+      *(pDst + 6 * S->L) = accV1[2];
+      *(pDst + 7 * S->L) = accV1[3];
+
+      pDst++;
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 8;
+
+    pDst += S->L * 7;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+
+  while (blkCntN4 > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1U;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      sum0v = vdupq_n_f32(0.0);
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length. Unroll by a factor of 4.
+       ** Repeat until we've computed numTaps-(4*S->L) coefficients. */
+      tapCnt = phaseLen >> 2U;
+
+      while (tapCnt > 0U)
+      {
+        /* Read the coefficient */
+        x1v[0] = *(ptr2);
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.
+         * So instead of multiplying zeros with coefficients,
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the input sample */
+        x0v = vld1q_f32(ptr1);
+        ptr1 += 4;
+
+        /* Read the coefficient */
+        x1v[1] = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the coefficient */
+        x1v[2] = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Read the coefficient */
+        x1v[3] = *(ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        sum0v = vmlaq_f32(sum0v,x0v,x1v);
+       
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      tempV = vpadd_f32(vget_low_f32(sum0v),vget_high_f32(sum0v));
+      sum0 = tempV[0] + tempV[1];
+
+      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+      tapCnt = phaseLen % 0x4U;
+
+      while (tapCnt > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum0 += *(ptr1++) * (*ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = sum0;
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCntN4--;
+  }
+
+  /* Processing is complete.
+   ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+  tapCnt = (phaseLen - 1U) >> 2U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    sum0v = vld1q_f32(pState);
+    vst1q_f32(pStateCurnt,sum0v);
+    pState += 4;
+    pStateCurnt += 4;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+  tapCnt = (phaseLen - 1U) % 0x04U;
+
+  /* copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+}
+#else
+
+void arm_fir_interpolate_f32(
+  const arm_fir_interpolate_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+        float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *pStateCur;                          /* Points to the current sample of the state */
+        float32_t *ptr1;                               /* Temporary pointer for state buffer */
+  const float32_t *ptr2;                               /* Temporary pointer for coefficient buffer */
+        float32_t sum0;                                /* Accumulators */
+        uint32_t i, blkCnt, tapCnt;                    /* Loop counters */
+        uint32_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
+        uint32_t j;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        float32_t acc0, acc1, acc2, acc3;
+        float32_t x0, x1, x2, x3;
+        float32_t c0, c1, c2, c3;
+#endif
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (phaseLen - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCur++ = *pSrc++;
+    *pStateCur++ = *pSrc++;
+    *pStateCur++ = *pSrc++;
+    *pStateCur++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1U;
+
+    /* Loop over the Interpolation factor. */
+    i = (S->L);
+
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      acc0 = 0.0f;
+      acc1 = 0.0f;
+      acc2 = 0.0f;
+      acc3 = 0.0f;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length. Unroll by a factor of 4.
+         Repeat until we've computed numTaps-(4*S->L) coefficients. */
+      tapCnt = phaseLen >> 2U;
+
+      x0 = *(ptr1++);
+      x1 = *(ptr1++);
+      x2 = *(ptr1++);
+
+      while (tapCnt > 0U)
+      {
+        /* Read the input sample */
+        x3 = *(ptr1++);
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        acc0 += x0 * c0;
+        acc1 += x1 * c0;
+        acc2 += x2 * c0;
+        acc3 += x3 * c0;
+
+        /* Read the coefficient */
+        c1 = *(ptr2 + S->L);
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += x1 * c1;
+        acc1 += x2 * c1;
+        acc2 += x3 * c1;
+        acc3 += x0 * c1;
+
+        /* Read the coefficient */
+        c2 = *(ptr2 + S->L * 2);
+
+        /* Read the input sample */
+        x1 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += x2 * c2;
+        acc1 += x3 * c2;
+        acc2 += x0 * c2;
+        acc3 += x1 * c2;
+
+        /* Read the coefficient */
+        c3 = *(ptr2 + S->L * 3);
+
+        /* Read the input sample */
+        x2 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += x3 * c3;
+        acc1 += x0 * c3;
+        acc2 += x1 * c3;
+        acc3 += x2 * c3;
+
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.
+         * So instead of multiplying zeros with coefficients,
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += 4 * S->L;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+      tapCnt = phaseLen % 0x4U;
+
+      while (tapCnt > 0U)
+      {
+        /* Read the input sample */
+        x3 = *(ptr1++);
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        acc0 += x0 * c0;
+        acc1 += x1 * c0;
+        acc2 += x2 * c0;
+        acc3 += x3 * c0;
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* update states for next sample processing */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *(pDst           ) = acc0;
+      *(pDst +     S->L) = acc1;
+      *(pDst + 2 * S->L) = acc2;
+      *(pDst + 3 * S->L) = acc3;
+
+      pDst++;
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 4;
+
+    pDst += S->L * 3;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCur++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1U;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      sum0 = 0.0f;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length.
+         Repeat until we've computed numTaps-(4*S->L) coefficients. */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+     /* Loop unrolling: Compute 4 outputs at a time */
+      tapCnt = phaseLen >> 2U;
+
+      while (tapCnt > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum0 += *ptr1++ * *ptr2;
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.
+         * So instead of multiplying zeros with coefficients,
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        sum0 += *ptr1++ * *ptr2;
+        ptr2 += S->L;
+
+        sum0 += *ptr1++ * *ptr2;
+        ptr2 += S->L;
+
+        sum0 += *ptr1++ * *ptr2;
+        ptr2 += S->L;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      tapCnt = phaseLen % 0x4U;
+
+#else
+
+      /* Initialize tapCnt with number of samples */
+      tapCnt = phaseLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (tapCnt > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum0 += *ptr1++ * *ptr2;
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.
+         * So instead of multiplying zeros with coefficients,
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = sum0;
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  tapCnt = (phaseLen - 1U) >> 2U;
+
+  /* copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  tapCnt = (phaseLen - 1U) % 0x04U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = (phaseLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+        float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *pStateCur;                        /* Points to the current sample of the state */
+        float32_t *ptr1;                               /* Temporary pointer for state buffer */
+  const float32_t *ptr2;                               /* Temporary pointer for coefficient buffer */
+        float32_t sum0;                                /* Accumulators */
+        uint32_t i, blkCnt, tapCnt;                    /* Loop counters */
+        uint32_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (phaseLen - 1U);
+
+  /* Total number of intput samples */
+  blkCnt = blockSize;
+
+  /* Loop over the blockSize. */
+  while (blkCnt > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCur++ = *pSrc++;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      sum0 = 0.0f;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (i - 1U);
+
+      /* Loop over the polyPhase length */
+      tapCnt = phaseLen;
+
+      while (tapCnt > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum0 += *ptr1++ * *ptr2;
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = sum0;
+
+      /* Decrement loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+   ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+  tapCnt = phaseLen - 1U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of FIR_Interpolate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
new file mode 100644
index 0000000..3309463
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
@@ -0,0 +1,106 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_interpolate_init_f32.c
+ * Description:  Floating-point FIR interpolator initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Interpolate
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point FIR interpolator.
+  @param[in,out] S         points to an instance of the floating-point FIR interpolator structure
+  @param[in]     L         upsample factor
+  @param[in]     numTaps   number of filter coefficients in the filter
+  @param[in]     pCoeffs   points to the filter coefficient buffer
+  @param[in]     pState    points to the state buffer
+  @param[in]     blockSize number of input samples to process per call
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+  </pre>
+  @par
+                   The length of the filter <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code>.
+  @par
+                   <code>pState</code> points to the array of state variables.
+                   <code>pState</code> is of length <code>(numTaps/L)+blockSize-1</code> words
+                   where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_interpolate_f32()</code>.
+ */
+
+arm_status arm_fir_interpolate_init_f32(
+        arm_fir_interpolate_instance_f32 * S,
+        uint8_t L,
+        uint16_t numTaps,
+  const float32_t * pCoeffs,
+        float32_t * pState,
+        uint32_t blockSize)
+{
+  arm_status status;
+
+  /* The filter length must be a multiple of the interpolation factor */
+  if ((numTaps % L) != 0U)
+  {
+    /* Set status as ARM_MATH_LENGTH_ERROR */
+    status = ARM_MATH_LENGTH_ERROR;
+  }
+  else
+  {
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Assign Interpolation factor */
+    S->L = L;
+
+    /* Assign polyPhaseLength */
+    S->phaseLength = numTaps / L;
+
+    /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
+    memset(pState, 0, (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(float32_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+}
+
+/**
+  @} end of FIR_Interpolate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
new file mode 100644
index 0000000..bae10c7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
@@ -0,0 +1,106 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_interpolate_init_q15.c
+ * Description:  Q15 FIR interpolator initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Interpolate
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q15 FIR interpolator.
+  @param[in,out] S         points to an instance of the Q15 FIR interpolator structure
+  @param[in]     L         upsample factor
+  @param[in]     numTaps   number of filter coefficients in the filter
+  @param[in]     pCoeffs   points to the filter coefficient buffer
+  @param[in]     pState    points to the state buffer
+  @param[in]     blockSize number of input samples to process per call
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>
+
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+  </pre>
+                   The length of the filter <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code>.
+  @par
+                   <code>pState</code> points to the array of state variables.
+                   <code>pState</code> is of length <code>(numTaps/L)+blockSize-1</code> words
+                   where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_interpolate_q15()</code>.
+ */
+
+arm_status arm_fir_interpolate_init_q15(
+        arm_fir_interpolate_instance_q15 * S,
+        uint8_t L,
+        uint16_t numTaps,
+  const q15_t * pCoeffs,
+        q15_t * pState,
+        uint32_t blockSize)
+{
+  arm_status status;
+
+  /* The filter length must be a multiple of the interpolation factor */
+  if ((numTaps % L) != 0U)
+  {
+    /* Set status as ARM_MATH_LENGTH_ERROR */
+    status = ARM_MATH_LENGTH_ERROR;
+  }
+  else
+  {
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Assign Interpolation factor */
+    S->L = L;
+
+    /* Assign polyPhaseLength */
+    S->phaseLength = numTaps / L;
+
+    /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
+    memset(pState, 0, (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(q15_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+}
+
+/**
+  @} end of FIR_Interpolate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
new file mode 100644
index 0000000..40c8600
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
@@ -0,0 +1,105 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_interpolate_init_q31.c
+ * Description:  Q31 FIR interpolator initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Interpolate
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q31 FIR interpolator.
+  @param[in,out] S         points to an instance of the Q31 FIR interpolator structure
+  @param[in]     L         upsample factor
+  @param[in]     numTaps   number of filter coefficients in the filter
+  @param[in]     pCoeffs   points to the filter coefficient buffer
+  @param[in]     pState    points to the state buffer
+  @param[in]     blockSize number of input samples to process per call
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : filter length <code>numTaps</code> is not a multiple of the interpolation factor <code>L</code>
+ 
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+      {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+  </pre>
+                   The length of the filter <code>numTaps</code> must be a multiple of the interpolation factor <code>L</code>.
+  @par
+                   <code>pState</code> points to the array of state variables.
+                   <code>pState</code> is of length <code>(numTaps/L)+blockSize-1</code> words
+                   where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_fir_interpolate_q31()</code>.
+ */
+
+arm_status arm_fir_interpolate_init_q31(
+        arm_fir_interpolate_instance_q31 * S,
+        uint8_t L,
+        uint16_t numTaps,
+  const q31_t * pCoeffs,
+        q31_t * pState,
+        uint32_t blockSize)
+{
+  arm_status status;
+
+  /* The filter length must be a multiple of the interpolation factor */
+  if ((numTaps % L) != 0U)
+  {
+    /* Set status as ARM_MATH_LENGTH_ERROR */
+    status = ARM_MATH_LENGTH_ERROR;
+  }
+  else
+  {
+    /* Assign coefficient pointer */
+    S->pCoeffs = pCoeffs;
+
+    /* Assign Interpolation factor */
+    S->L = L;
+
+    /* Assign polyPhaseLength */
+    S->phaseLength = numTaps / L;
+
+    /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */
+    memset(pState, 0, (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(q31_t));
+
+    /* Assign state pointer */
+    S->pState = pState;
+
+    status = ARM_MATH_SUCCESS;
+  }
+
+  return (status);
+}
+
+/**
+  @} end of FIR_Interpolate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c
new file mode 100644
index 0000000..ad5194a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c
@@ -0,0 +1,479 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_interpolate_q15.c
+ * Description:  Q15 FIR interpolation
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Interpolate
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q15 FIR interpolator.
+  @param[in]     S          points to an instance of the Q15 FIR interpolator structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+                   The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+                   There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+                   After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+                   Lastly, the accumulator is saturated to yield a result in 1.15 format.
+ */
+
+void arm_fir_interpolate_q15(
+  const arm_fir_interpolate_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pStateCur;                              /* Points to the current sample of the state */
+        q15_t *ptr1;                                   /* Temporary pointer for state buffer */
+  const q15_t *ptr2;                                   /* Temporary pointer for coefficient buffer */
+        q63_t sum0;                                    /* Accumulators */
+        uint32_t i, blkCnt, tapCnt;                    /* Loop counters */
+        uint32_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
+        uint32_t j;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q63_t acc0, acc1, acc2, acc3;
+        q15_t x0, x1, x2, x3;
+        q15_t c0, c1, c2, c3;
+#endif
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (phaseLen - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCur++ = *pSrc++;
+    *pStateCur++ = *pSrc++;
+    *pStateCur++ = *pSrc++;
+    *pStateCur++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1U;
+
+    /* Loop over the Interpolation factor. */
+    i = (S->L);
+
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length. Unroll by a factor of 4.
+         Repeat until we've computed numTaps-(4*S->L) coefficients. */
+      tapCnt = phaseLen >> 2U;
+
+      x0 = *(ptr1++);
+      x1 = *(ptr1++);
+      x2 = *(ptr1++);
+
+      while (tapCnt > 0U)
+      {
+        /* Read the input sample */
+        x3 = *(ptr1++);
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x0 * c0;
+        acc1 += (q63_t) x1 * c0;
+        acc2 += (q63_t) x2 * c0;
+        acc3 += (q63_t) x3 * c0;
+
+        /* Read the coefficient */
+        c1 = *(ptr2 + S->L);
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x1 * c1;
+        acc1 += (q63_t) x2 * c1;
+        acc2 += (q63_t) x3 * c1;
+        acc3 += (q63_t) x0 * c1;
+
+        /* Read the coefficient */
+        c2 = *(ptr2 + S->L * 2);
+
+        /* Read the input sample */
+        x1 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x2 * c2;
+        acc1 += (q63_t) x3 * c2;
+        acc2 += (q63_t) x0 * c2;
+        acc3 += (q63_t) x1 * c2;
+
+        /* Read the coefficient */
+        c3 = *(ptr2 + S->L * 3);
+
+        /* Read the input sample */
+        x2 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x3 * c3;
+        acc1 += (q63_t) x0 * c3;
+        acc2 += (q63_t) x1 * c3;
+        acc3 += (q63_t) x2 * c3;
+
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.
+         * So instead of multiplying zeros with coefficients,
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += 4 * S->L;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+      tapCnt = phaseLen % 0x4U;
+
+      while (tapCnt > 0U)
+      {
+        /* Read the input sample */
+        x3 = *(ptr1++);
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x0 * c0;
+        acc1 += (q63_t) x1 * c0;
+        acc2 += (q63_t) x2 * c0;
+        acc3 += (q63_t) x3 * c0;
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* update states for next sample processing */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *(pDst           ) = (q15_t) (__SSAT((acc0 >> 15), 16));
+      *(pDst +     S->L) = (q15_t) (__SSAT((acc1 >> 15), 16));
+      *(pDst + 2 * S->L) = (q15_t) (__SSAT((acc2 >> 15), 16));
+      *(pDst + 3 * S->L) = (q15_t) (__SSAT((acc3 >> 15), 16));
+
+      pDst++;
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 4;
+
+    pDst += S->L * 3;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCur++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1U;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      sum0 = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length.
+         Repeat until we've computed numTaps-(4*S->L) coefficients. */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+     /* Loop unrolling: Compute 4 outputs at a time */
+      tapCnt = phaseLen >> 2U;
+
+      while (tapCnt > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) *ptr1++ * *ptr2;
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.
+         * So instead of multiplying zeros with coefficients,
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        sum0 += (q63_t) *ptr1++ * *ptr2;
+        ptr2 += S->L;
+
+        sum0 += (q63_t) *ptr1++ * *ptr2;
+        ptr2 += S->L;
+
+        sum0 += (q63_t) *ptr1++ * *ptr2;
+        ptr2 += S->L;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      tapCnt = phaseLen % 0x4U;
+
+#else
+
+      /* Initialize tapCnt with number of samples */
+      tapCnt = phaseLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (tapCnt > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) *ptr1++ * *ptr2;
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.
+         * So instead of multiplying zeros with coefficients,
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  tapCnt = (phaseLen - 1U) >> 2U;
+
+  /* copy data */
+  while (tapCnt > 0U)
+  {
+    write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+    write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  tapCnt = (phaseLen - 1U) % 0x04U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = (phaseLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pStateCur;                              /* Points to the current sample of the state */
+        q15_t *ptr1;                                   /* Temporary pointer for state buffer */
+  const q15_t *ptr2;                                   /* Temporary pointer for coefficient buffer */
+        q63_t sum0;                                    /* Accumulators */
+        uint32_t i, blkCnt, tapCnt;                    /* Loop counters */
+        uint32_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (phaseLen - 1U);
+
+  /* Total number of intput samples */
+  blkCnt = blockSize;
+
+  /* Loop over the blockSize. */
+  while (blkCnt > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCur++ = *pSrc++;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      sum0 = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (i - 1U);
+
+      /* Loop over the polyPhase length */
+      tapCnt = phaseLen;
+
+      while (tapCnt > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum0 += ((q63_t) *ptr1++ * *ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* Store the result after converting to 1.15 format in the destination buffer. */
+      *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16));
+
+      /* Decrement loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+   ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+  tapCnt = phaseLen - 1U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of FIR_Interpolate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c
new file mode 100644
index 0000000..ee79cdb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c
@@ -0,0 +1,481 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_interpolate_q31.c
+ * Description:  Q31 FIR interpolation
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Interpolate
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 FIR interpolator.
+  @param[in]     S          points to an instance of the Q31 FIR interpolator structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   Thus, if the accumulator result overflows it wraps around rather than clip.
+                   In order to avoid overflows completely the input signal must be scaled down by <code>1/(numTaps/L)</code>.
+                   since <code>numTaps/L</code> additions occur per output sample.
+                   After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.
+ */
+
+void arm_fir_interpolate_q31(
+  const arm_fir_interpolate_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+        q31_t *pState = S->pState;                     /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *pStateCur;                              /* Points to the current sample of the state */
+        q31_t *ptr1;                                   /* Temporary pointer for state buffer */
+  const q31_t *ptr2;                                   /* Temporary pointer for coefficient buffer */
+        q63_t sum0;                                    /* Accumulators */
+        uint32_t i, blkCnt, tapCnt;                    /* Loop counters */
+        uint32_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
+        uint32_t j;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q63_t acc0, acc1, acc2, acc3;
+        q31_t x0, x1, x2, x3;
+        q31_t c0, c1, c2, c3;
+#endif
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (phaseLen - 1U);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCur++ = *pSrc++;
+    *pStateCur++ = *pSrc++;
+    *pStateCur++ = *pSrc++;
+    *pStateCur++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1U;
+
+    /* Loop over the Interpolation factor. */
+    i = (S->L);
+
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      acc0 = 0;
+      acc1 = 0;
+      acc2 = 0;
+      acc3 = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length. Unroll by a factor of 4.
+         Repeat until we've computed numTaps-(4*S->L) coefficients. */
+      tapCnt = phaseLen >> 2U;
+
+      x0 = *(ptr1++);
+      x1 = *(ptr1++);
+      x2 = *(ptr1++);
+
+      while (tapCnt > 0U)
+      {
+        /* Read the input sample */
+        x3 = *(ptr1++);
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x0 * c0;
+        acc1 += (q63_t) x1 * c0;
+        acc2 += (q63_t) x2 * c0;
+        acc3 += (q63_t) x3 * c0;
+
+        /* Read the coefficient */
+        c1 = *(ptr2 + S->L);
+
+        /* Read the input sample */
+        x0 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x1 * c1;
+        acc1 += (q63_t) x2 * c1;
+        acc2 += (q63_t) x3 * c1;
+        acc3 += (q63_t) x0 * c1;
+
+        /* Read the coefficient */
+        c2 = *(ptr2 + S->L * 2);
+
+        /* Read the input sample */
+        x1 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x2 * c2;
+        acc1 += (q63_t) x3 * c2;
+        acc2 += (q63_t) x0 * c2;
+        acc3 += (q63_t) x1 * c2;
+
+        /* Read the coefficient */
+        c3 = *(ptr2 + S->L * 3);
+
+        /* Read the input sample */
+        x2 = *(ptr1++);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x3 * c3;
+        acc1 += (q63_t) x0 * c3;
+        acc2 += (q63_t) x1 * c3;
+        acc3 += (q63_t) x2 * c3;
+
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.
+         * So instead of multiplying zeros with coefficients,
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += 4 * S->L;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */
+      tapCnt = phaseLen % 0x4U;
+
+      while (tapCnt > 0U)
+      {
+        /* Read the input sample */
+        x3 = *(ptr1++);
+
+        /* Read the coefficient */
+        c0 = *(ptr2);
+
+        /* Perform the multiply-accumulate */
+        acc0 += (q63_t) x0 * c0;
+        acc1 += (q63_t) x1 * c0;
+        acc2 += (q63_t) x2 * c0;
+        acc3 += (q63_t) x3 * c0;
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* update states for next sample processing */
+        x0 = x1;
+        x1 = x2;
+        x2 = x3;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *(pDst           ) = (q31_t) (acc0 >> 31);
+      *(pDst +     S->L) = (q31_t) (acc1 >> 31);
+      *(pDst + 2 * S->L) = (q31_t) (acc2 >> 31);
+      *(pDst + 3 * S->L) = (q31_t) (acc3 >> 31);
+
+      pDst++;
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 4;
+
+    pDst += S->L * 3;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCur++ = *pSrc++;
+
+    /* Address modifier index of coefficient buffer */
+    j = 1U;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      sum0 = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (S->L - j);
+
+      /* Loop over the polyPhase length.
+         Repeat until we've computed numTaps-(4*S->L) coefficients. */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+     /* Loop unrolling: Compute 4 outputs at a time */
+      tapCnt = phaseLen >> 2U;
+
+      while (tapCnt > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) *ptr1++ * *ptr2;
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.
+         * So instead of multiplying zeros with coefficients,
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        sum0 += (q63_t) *ptr1++ * *ptr2;
+        ptr2 += S->L;
+
+        sum0 += (q63_t) *ptr1++ * *ptr2;
+        ptr2 += S->L;
+
+        sum0 += (q63_t) *ptr1++ * *ptr2;
+        ptr2 += S->L;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      tapCnt = phaseLen % 0x4U;
+
+#else
+
+      /* Initialize tapCnt with number of samples */
+      tapCnt = phaseLen;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (tapCnt > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum0 += (q63_t) *ptr1++ * *ptr2;
+
+        /* Upsampling is done by stuffing L-1 zeros between each sample.
+         * So instead of multiplying zeros with coefficients,
+         * Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Decrement loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = (q31_t) (sum0 >> 31);
+
+      /* Increment the address modifier index of coefficient buffer */
+      j++;
+
+      /* Decrement the loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last phaseLen - 1 samples to the satrt of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  tapCnt = (phaseLen - 1U) >> 2U;
+
+  /* copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  tapCnt = (phaseLen - 1U) % 0x04U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = (phaseLen - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+        q31_t *pState = S->pState;                     /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *pStateCur;                              /* Points to the current sample of the state */
+        q31_t *ptr1;                                   /* Temporary pointer for state buffer */
+  const q31_t *ptr2;                                   /* Temporary pointer for coefficient buffer */
+        q63_t sum0;                                    /* Accumulators */
+        uint32_t i, blkCnt, tapCnt;                    /* Loop counters */
+        uint32_t phaseLen = S->phaseLength;            /* Length of each polyphase filter component */
+
+  /* S->pState buffer contains previous frame (phaseLen - 1) samples */
+  /* pStateCur points to the location where the new input data should be written */
+  pStateCur = S->pState + (phaseLen - 1U);
+
+  /* Total number of intput samples */
+  blkCnt = blockSize;
+
+  /* Loop over the blockSize. */
+  while (blkCnt > 0U)
+  {
+    /* Copy new input sample into the state buffer */
+    *pStateCur++ = *pSrc++;
+
+    /* Loop over the Interpolation factor. */
+    i = S->L;
+
+    while (i > 0U)
+    {
+      /* Set accumulator to zero */
+      sum0 = 0;
+
+      /* Initialize state pointer */
+      ptr1 = pState;
+
+      /* Initialize coefficient pointer */
+      ptr2 = pCoeffs + (i - 1U);
+
+      /* Loop over the polyPhase length */
+      tapCnt = phaseLen;
+
+      while (tapCnt > 0U)
+      {
+        /* Perform the multiply-accumulate */
+        sum0 += ((q63_t) *ptr1++ * *ptr2);
+
+        /* Increment the coefficient pointer by interpolation factor times. */
+        ptr2 += S->L;
+
+        /* Decrement the loop counter */
+        tapCnt--;
+      }
+
+      /* The result is in the accumulator, store in the destination buffer. */
+      *pDst++ = (q31_t) (sum0 >> 31);
+
+      /* Decrement loop counter */
+      i--;
+    }
+
+    /* Advance the state pointer by 1
+     * to process the next group of interpolation factor number samples */
+    pState = pState + 1;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+   ** Now copy the last phaseLen - 1 samples to the start of the state buffer.
+   ** This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCur = S->pState;
+
+  tapCnt = phaseLen - 1U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of FIR_Interpolate group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c
new file mode 100644
index 0000000..8577fee
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c
@@ -0,0 +1,453 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_lattice_f32.c
+ * Description:  Processing function for floating-point FIR Lattice filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @defgroup FIR_Lattice Finite Impulse Response (FIR) Lattice Filters
+
+  This set of functions implements Finite Impulse Response (FIR) lattice filters
+  for Q15, Q31 and floating-point data types.  Lattice filters are used in a
+  variety of adaptive filter applications. The filter structure is feedforward and
+  the net impulse response is finite length.
+  The functions operate on blocks
+  of input and output data and each call to the function processes
+  <code>blockSize</code> samples through the filter.  <code>pSrc</code> and
+  <code>pDst</code> point to input and output arrays containing <code>blockSize</code> values.
+
+  @par           Algorithm
+                   \image html FIRLattice.gif "Finite Impulse Response Lattice filter"
+                   The following difference equation is implemented:
+  @par
+  <pre>
+      f0[n] = g0[n] = x[n]
+      fm[n] = fm-1[n] + km * gm-1[n-1] for m = 1, 2, ...M
+      gm[n] = km * fm-1[n] + gm-1[n-1] for m = 1, 2, ...M
+      y[n] = fM[n]
+  </pre>
+  @par
+                   <code>pCoeffs</code> points to tha array of reflection coefficients of size <code>numStages</code>.
+                   Reflection Coefficients are stored in the following order.
+  @par
+  <pre>
+      {k1, k2, ..., kM}
+  </pre>
+                   where M is number of stages
+  @par
+                   <code>pState</code> points to a state array of size <code>numStages</code>.
+                   The state variables (g values) hold previous inputs and are stored in the following order.
+  <pre>
+    {g0[n], g1[n], g2[n] ...gM-1[n]}
+  </pre>
+                   The state variables are updated after each block of data is processed; the coefficients are untouched.
+
+  @par           Instance Structure
+                   The coefficients and state variables for a filter are stored together in an instance data structure.
+                   A separate instance structure must be defined for each filter.
+                   Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+                   There are separate instance structure declarations for each of the 3 supported data types.
+
+  @par           Initialization Functions
+                   There is also an associated initialization function for each data type.
+                   The initialization function performs the following operations:
+                   - Sets the values of the internal structure fields.
+                   - Zeros out the values in the state buffer.
+                   To do this manually without calling the init function, assign the follow subfields of the instance structure:
+                   numStages, pCoeffs, pState. Also set all of the values in pState to zero.
+  @par
+                   Use of the initialization function is optional.
+                   However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+                   To place an instance structure into a const data section, the instance structure must be manually initialized.
+                   Set the values in the state buffer to zeros and then manually initialize the instance structure as follows:
+  <pre>
+      arm_fir_lattice_instance_f32 S = {numStages, pState, pCoeffs};
+      arm_fir_lattice_instance_q31 S = {numStages, pState, pCoeffs};
+      arm_fir_lattice_instance_q15 S = {numStages, pState, pCoeffs};
+  </pre>
+  @par
+                   where <code>numStages</code> is the number of stages in the filter;
+                   <code>pState</code> is the address of the state buffer;
+                   <code>pCoeffs</code> is the address of the coefficient buffer.
+
+  @par           Fixed-Point Behavior
+                   Care must be taken when using the fixed-point versions of the FIR Lattice filter functions.
+                   In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+                   Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+  @addtogroup FIR_Lattice
+  @{
+ */
+
+/**
+  @brief         Processing function for the floating-point FIR lattice filter.
+  @param[in]     S          points to an instance of the floating-point FIR lattice structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+ */
+
+void arm_fir_lattice_f32(
+  const arm_fir_lattice_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *px;                                 /* Temporary state pointer */
+  const float32_t *pk;                                 /* Temporary coefficient pointer */
+        uint32_t numStages = S->numStages;             /* Number of stages in the filter */
+        uint32_t blkCnt, stageCnt;                     /* Loop counters */
+        float32_t fcurr0, fnext0, gnext0, gcurr0;      /* Temporary variables */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        float32_t fcurr1, fnext1, gnext1;              /* Temporary variables for second sample in loop unrolling */
+        float32_t fcurr2, fnext2, gnext2;              /* Temporary variables for third sample in loop unrolling */
+        float32_t fcurr3, fnext3, gnext3;              /* Temporary variables for fourth sample in loop unrolling */
+#endif
+
+  gcurr0 = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Read two samples from input buffer */
+    /* f0(n) = x(n) */
+    fcurr0 = *pSrc++;
+    fcurr1 = *pSrc++;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pk = pCoeffs;
+
+    /* Read g0(n-1) from state buffer */
+    gcurr0 = *px;
+
+    /* Process first sample for first tap */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext0 = (fcurr0 * (*pk)) + gcurr0;
+
+    /* Process second sample for first tap */
+    fnext1 = (fcurr0 * (*pk)) + fcurr1;
+    gnext1 = (fcurr1 * (*pk)) + fcurr0;
+
+    /* Read next two samples from input buffer */
+    /* f0(n+2) = x(n+2) */
+    fcurr2 = *pSrc++;
+    fcurr3 = *pSrc++;
+
+    /* Process third sample for first tap */
+    fnext2 = (fcurr1 * (*pk)) + fcurr2;
+    gnext2 = (fcurr2 * (*pk)) + fcurr1;
+
+    /* Process fourth sample for first tap */
+    fnext3 = (fcurr2 * (*pk  )) + fcurr3;
+    gnext3 = (fcurr3 * (*pk++)) + fcurr2;
+
+    /* Copy only last input sample into the state buffer
+       which will be used for next samples processing */
+    *px++ = fcurr3;
+
+    /* Update of f values for next coefficient set processing */
+    fcurr0 = fnext0;
+    fcurr1 = fnext1;
+    fcurr2 = fnext2;
+    fcurr3 = fnext3;
+
+    /* Loop unrolling.  Process 4 taps at a time . */
+    stageCnt = (numStages - 1U) >> 2U;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.
+       Repeat until we've computed numStages-3 coefficients. */
+
+    /* Process 2nd, 3rd, 4th and 5th taps ... here */
+    while (stageCnt > 0U)
+    {
+      /* Read g1(n-1), g3(n-1) .... from state */
+      gcurr0 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext3;
+
+      /* Process first sample for 2nd, 6th .. tap */
+      /* Sample processing for K2, K6.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+      /* Process second sample for 2nd, 6th .. tap */
+      /* for sample 2 processing */
+      fnext1 = (gnext0 * (*pk)) + fcurr1;
+
+      /* Process third sample for 2nd, 6th .. tap */
+      fnext2 = (gnext1 * (*pk)) + fcurr2;
+
+      /* Process fourth sample for 2nd, 6th .. tap */
+      fnext3 = (gnext2 * (*pk)) + fcurr3;
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      /* Calculation of state values for next stage */
+      gnext3 = (fcurr3 * (*pk)) + gnext2;
+
+      gnext2 = (fcurr2 * (*pk)) + gnext1;
+
+      gnext1 = (fcurr1 * (*pk)) + gnext0;
+
+      gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+
+      /* Read g2(n-1), g4(n-1) .... from state */
+      gcurr0 = *px;
+
+      /* save g2(n) in state buffer */
+      *px++ = gnext3;
+
+      /* Sample processing for K3, K7.... */
+      /* Process first sample for 3rd, 7th .. tap */
+      /* f3(n) = f2(n) +  K3 * g2(n-1) */
+      fcurr0 = (gcurr0 * (*pk)) + fnext0;
+
+      /* Process second sample for 3rd, 7th .. tap */
+      fcurr1 = (gnext0 * (*pk)) + fnext1;
+
+      /* Process third sample for 3rd, 7th .. tap */
+      fcurr2 = (gnext1 * (*pk)) + fnext2;
+
+      /* Process fourth sample for 3rd, 7th .. tap */
+      fcurr3 = (gnext2 * (*pk)) + fnext3;
+
+      /* Calculation of state values for next stage */
+      /* g3(n) = f2(n) * K3  +  g2(n-1) */
+      gnext3 = (fnext3 * (*pk)) + gnext2;
+
+      gnext2 = (fnext2 * (*pk)) + gnext1;
+
+      gnext1 = (fnext1 * (*pk)) + gnext0;
+
+      gnext0 = (fnext0 * (*pk++)) + gcurr0;
+
+
+      /* Read g1(n-1), g3(n-1) .... from state */
+      gcurr0 = *px;
+
+      /* save g3(n) in state buffer */
+      *px++ = gnext3;
+
+      /* Sample processing for K4, K8.... */
+      /* Process first sample for 4th, 8th .. tap */
+      /* f4(n) = f3(n) +  K4 * g3(n-1) */
+      fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+      /* Process second sample for 4th, 8th .. tap */
+      /* for sample 2 processing */
+      fnext1 = (gnext0 * (*pk)) + fcurr1;
+
+      /* Process third sample for 4th, 8th .. tap */
+      fnext2 = (gnext1 * (*pk)) + fcurr2;
+
+      /* Process fourth sample for 4th, 8th .. tap */
+      fnext3 = (gnext2 * (*pk)) + fcurr3;
+
+      /* g4(n) = f3(n) * K4  +  g3(n-1) */
+      /* Calculation of state values for next stage */
+      gnext3 = (fcurr3 * (*pk)) + gnext2;
+
+      gnext2 = (fcurr2 * (*pk)) + gnext1;
+
+      gnext1 = (fcurr1 * (*pk)) + gnext0;
+
+      gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+
+      /* Read g2(n-1), g4(n-1) .... from state */
+      gcurr0 = *px;
+
+      /* save g4(n) in state buffer */
+      *px++ = gnext3;
+
+      /* Sample processing for K5, K9.... */
+      /* Process first sample for 5th, 9th .. tap */
+      /* f5(n) = f4(n) +  K5 * g4(n-1) */
+      fcurr0 = (gcurr0 * (*pk)) + fnext0;
+
+      /* Process second sample for 5th, 9th .. tap */
+      fcurr1 = (gnext0 * (*pk)) + fnext1;
+
+      /* Process third sample for 5th, 9th .. tap */
+      fcurr2 = (gnext1 * (*pk)) + fnext2;
+
+      /* Process fourth sample for 5th, 9th .. tap */
+      fcurr3 = (gnext2 * (*pk)) + fnext3;
+
+      /* Calculation of state values for next stage */
+      /* g5(n) = f4(n) * K5  +  g4(n-1) */
+      gnext3 = (fnext3 * (*pk)) + gnext2;
+
+      gnext2 = (fnext2 * (*pk)) + gnext1;
+
+      gnext1 = (fnext1 * (*pk)) + gnext0;
+
+      gnext0 = (fnext0 * (*pk++)) + gcurr0;
+
+      stageCnt--;
+    }
+
+    /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
+    stageCnt = (numStages - 1U) % 0x4U;
+
+    while (stageCnt > 0U)
+    {
+      gcurr0 = *px;
+
+      /* save g value in state buffer */
+      *px++ = gnext3;
+
+      /* Process four samples for last three taps here */
+      fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+      fnext1 = (gnext0 * (*pk)) + fcurr1;
+
+      fnext2 = (gnext1 * (*pk)) + fcurr2;
+
+      fnext3 = (gnext2 * (*pk)) + fcurr3;
+
+      /* g1(n) = f0(n) * K1  +  g0(n-1) */
+      gnext3 = (fcurr3 * (*pk)) + gnext2;
+
+      gnext2 = (fcurr2 * (*pk)) + gnext1;
+
+      gnext1 = (fcurr1 * (*pk)) + gnext0;
+
+      gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+      /* Update of f values for next coefficient set processing */
+      fcurr0 = fnext0;
+      fcurr1 = fnext1;
+      fcurr2 = fnext2;
+      fcurr3 = fnext3;
+
+      stageCnt--;
+    }
+
+    /* The results in the 4 accumulators, store in the destination buffer. */
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr0;
+    *pDst++ = fcurr1;
+    *pDst++ = fcurr2;
+    *pDst++ = fcurr3;
+
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* f0(n) = x(n) */
+    fcurr0 = *pSrc++;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pk = pCoeffs;
+
+    /* read g2(n) from state buffer */
+    gcurr0 = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+    /* save g1(n) in state buffer */
+    *px++ = fcurr0;
+
+    /* f1(n) is saved in fcurr0 for next stage processing */
+    fcurr0 = fnext0;
+
+    stageCnt = (numStages - 1U);
+
+    /* stage loop */
+    while (stageCnt > 0U)
+    {
+      /* read g2(n) from state buffer */
+      gcurr0 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext0;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext0 = (gcurr0 * (*pk)) + fcurr0;
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext0 = (fcurr0 * (*pk++)) + gcurr0;
+
+      /* f1(n) is saved in fcurr0 for next stage processing */
+      fcurr0 = fnext0;
+
+      stageCnt--;
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr0;
+
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of FIR_Lattice group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
new file mode 100644
index 0000000..c6aade1
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
@@ -0,0 +1,70 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_lattice_init_f32.c
+ * Description:  Floating-point FIR Lattice filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Lattice
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point FIR lattice filter.
+  @param[in]     S          points to an instance of the floating-point FIR lattice structure
+  @param[in]     numStages  number of filter stages
+  @param[in]     pCoeffs    points to the coefficient buffer.  The array is of length numStages
+  @param[in]     pState     points to the state buffer.  The array is of length numStages
+  @return        none
+ */
+
+void arm_fir_lattice_init_f32(
+        arm_fir_lattice_instance_f32 * S,
+        uint16_t numStages,
+  const float32_t * pCoeffs,
+        float32_t * pState)
+{
+  /* Assign filter taps */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always numStages */
+  memset(pState, 0, (numStages) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of FIR_Lattice group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
new file mode 100644
index 0000000..1cdfea3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
@@ -0,0 +1,70 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_lattice_init_q15.c
+ * Description:  Q15 FIR Lattice filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Lattice
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q15 FIR lattice filter.
+  @param[in]     S          points to an instance of the Q15 FIR lattice structure
+  @param[in]     numStages  number of filter stages
+  @param[in]     pCoeffs    points to the coefficient buffer.  The array is of length numStages
+  @param[in]     pState     points to the state buffer.  The array is of length numStages
+  @return        none
+ */
+
+void arm_fir_lattice_init_q15(
+        arm_fir_lattice_instance_q15 * S,
+        uint16_t numStages,
+  const q15_t * pCoeffs,
+        q15_t * pState)
+{
+  /* Assign filter taps */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always numStages */
+  memset(pState, 0, (numStages) * sizeof(q15_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of FIR_Lattice group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
new file mode 100644
index 0000000..0aef4ea
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
@@ -0,0 +1,70 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_lattice_init_q31.c
+ * Description:  Q31 FIR lattice filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Lattice
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q31 FIR lattice filter.
+  @param[in]     S          points to an instance of the Q31 FIR lattice structure
+  @param[in]     numStages  number of filter stages
+  @param[in]     pCoeffs    points to the coefficient buffer.  The array is of length numStages
+  @param[in]     pState     points to the state buffer.  The array is of length numStages
+  @return        none
+ */
+
+void arm_fir_lattice_init_q31(
+        arm_fir_lattice_instance_q31 * S,
+        uint16_t numStages,
+  const q31_t * pCoeffs,
+        q31_t * pState)
+{
+  /* Assign filter taps */
+  S->numStages = numStages;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always numStages */
+  memset(pState, 0, (numStages) * sizeof(q31_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of FIR_Lattice group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c
new file mode 100644
index 0000000..59a000b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c
@@ -0,0 +1,506 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_lattice_q15.c
+ * Description:  Q15 FIR lattice filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Lattice
+  @{
+ */
+
+/**
+  @brief         Processing function for Q15 FIR lattice filter.
+  @param[in]     S          points to an instance of the Q15 FIR lattice structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+ */
+
+void arm_fir_lattice_q15(
+  const arm_fir_lattice_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *px;                                     /* Temporary state pointer */
+  const q15_t *pk;                                     /* Temporary coefficient pointer */
+        uint32_t numStages = S->numStages;             /* Number of stages in the filter */
+        uint32_t blkCnt, stageCnt;                     /* Loop counters */
+        q31_t fcurr0, fnext0, gnext0, gcurr0;          /* Temporary variables */
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  q31_t fcurr1, fnext1, gnext1;                  /* Temporary variables for second sample in loop unrolling */
+  q31_t fcurr2, fnext2, gnext2;                  /* Temporary variables for third sample in loop unrolling */
+  q31_t fcurr3, fnext3, gnext3;                  /* Temporary variables for fourth sample in loop unrolling */
+#endif
+
+  gcurr0 = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Read two samples from input buffer */
+    /* f0(n) = x(n) */
+    fcurr0 = *pSrc++;
+    fcurr1 = *pSrc++;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pk = pCoeffs;
+
+    /* Read g0(n-1) from state buffer */
+    gcurr0 = *px;
+
+    /* Process first sample for first tap */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+    fnext0 = __SSAT(fnext0, 16);
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext0 = (q31_t) ((fcurr0 * (*pk)) >> 15U) + gcurr0;
+    gnext0 = __SSAT(gnext0, 16);
+
+    /* Process second sample for first tap */
+    fnext1 = (q31_t) ((fcurr0 * (*pk)) >> 15U) + fcurr1;
+    fnext1 = __SSAT(fnext1, 16);
+    gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + fcurr0;
+    gnext1 = __SSAT(gnext1, 16);
+
+    /* Read next two samples from input buffer */
+    /* f0(n+2) = x(n+2) */
+    fcurr2 = *pSrc++;
+    fcurr3 = *pSrc++;
+
+    /* Process third sample for first tap */
+    fnext2 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + fcurr2;
+    fnext2 = __SSAT(fnext2, 16);
+    gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + fcurr1;
+    gnext2 = __SSAT(gnext2, 16);
+
+    /* Process fourth sample for first tap */
+    fnext3 = (q31_t) ((fcurr2 * (*pk  )) >> 15U) + fcurr3;
+    fnext3 = __SSAT(fnext3, 16);
+    gnext3 = (q31_t) ((fcurr3 * (*pk++)) >> 15U) + fcurr2;
+    gnext3 = __SSAT(gnext3, 16);
+
+    /* Copy only last input sample into the state buffer
+       which will be used for next samples processing */
+    *px++ = (q15_t) fcurr3;
+
+    /* Update of f values for next coefficient set processing */
+    fcurr0 = fnext0;
+    fcurr1 = fnext1;
+    fcurr2 = fnext2;
+    fcurr3 = fnext3;
+
+    /* Loop unrolling.  Process 4 taps at a time . */
+    stageCnt = (numStages - 1U) >> 2U;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.
+       Repeat until we've computed numStages-3 coefficients. */
+
+    /* Process 2nd, 3rd, 4th and 5th taps ... here */
+    while (stageCnt > 0U)
+    {
+      /* Read g1(n-1), g3(n-1) .... from state */
+      gcurr0 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = (q15_t) gnext3;
+
+      /* Process first sample for 2nd, 6th .. tap */
+      /* Sample processing for K2, K6.... */
+      /* f1(n) = f0(n) +  K1 * g0(n-1) */
+      fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+      fnext0 = __SSAT(fnext0, 16);
+
+      /* Process second sample for 2nd, 6th .. tap */
+      /* for sample 2 processing */
+      fnext1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fcurr1;
+      fnext1 = __SSAT(fnext1, 16);
+
+      /* Process third sample for 2nd, 6th .. tap */
+      fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurr2;
+      fnext2 = __SSAT(fnext2, 16);
+
+      /* Process fourth sample for 2nd, 6th .. tap */
+      fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurr3;
+      fnext3 = __SSAT(fnext3, 16);
+
+      /* g1(n) = f0(n) * K1  +  g0(n-1) */
+      /* Calculation of state values for next stage */
+      gnext3 = (q31_t) ((fcurr3 * (*pk)) >> 15U) + gnext2;
+      gnext3 = __SSAT(gnext3, 16);
+
+      gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + gnext1;
+      gnext2 = __SSAT(gnext2, 16);
+
+      gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + gnext0;
+      gnext1 = __SSAT(gnext1, 16);
+
+      gnext0 = (q31_t) ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+      gnext0 = __SSAT(gnext0, 16);
+
+
+      /* Read g2(n-1), g4(n-1) .... from state */
+      gcurr0 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = (q15_t) gnext3;
+
+      /* Sample processing for K3, K7.... */
+      /* Process first sample for 3rd, 7th .. tap */
+      /* f3(n) = f2(n) +  K3 * g2(n-1) */
+      fcurr0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fnext0;
+      fcurr0 = __SSAT(fcurr0, 16);
+
+      /* Process second sample for 3rd, 7th .. tap */
+      fcurr1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fnext1;
+      fcurr1 = __SSAT(fcurr1, 16);
+
+      /* Process third sample for 3rd, 7th .. tap */
+      fcurr2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fnext2;
+      fcurr2 = __SSAT(fcurr2, 16);
+
+      /* Process fourth sample for 3rd, 7th .. tap */
+      fcurr3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fnext3;
+      fcurr3 = __SSAT(fcurr3, 16);
+
+      /* Calculation of state values for next stage */
+      /* g3(n) = f2(n) * K3  +  g2(n-1) */
+      gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15U) + gnext2;
+      gnext3 = __SSAT(gnext3, 16);
+
+      gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15U) + gnext1;
+      gnext2 = __SSAT(gnext2, 16);
+
+      gnext1 = (q31_t) ((fnext1 * (*pk)) >> 15U) + gnext0;
+      gnext1 = __SSAT(gnext1, 16);
+
+      gnext0 = (q31_t) ((fnext0 * (*pk++)) >> 15U) + gcurr0;
+      gnext0 = __SSAT(gnext0, 16);
+
+      /* Read g1(n-1), g3(n-1) .... from state */
+      gcurr0 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = (q15_t) gnext3;
+
+      /* Sample processing for K4, K8.... */
+      /* Process first sample for 4th, 8th .. tap */
+      /* f4(n) = f3(n) +  K4 * g3(n-1) */
+      fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+      fnext0 = __SSAT(fnext0, 16);
+
+      /* Process second sample for 4th, 8th .. tap */
+      /* for sample 2 processing */
+      fnext1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fcurr1;
+      fnext1 = __SSAT(fnext1, 16);
+
+      /* Process third sample for 4th, 8th .. tap */
+      fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurr2;
+      fnext2 = __SSAT(fnext2, 16);
+
+      /* Process fourth sample for 4th, 8th .. tap */
+      fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurr3;
+      fnext3 = __SSAT(fnext3, 16);
+
+      /* g4(n) = f3(n) * K4  +  g3(n-1) */
+      /* Calculation of state values for next stage */
+      gnext3 = (q31_t) ((fcurr3 * (*pk)) >> 15U) + gnext2;
+      gnext3 = __SSAT(gnext3, 16);
+
+      gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + gnext1;
+      gnext2 = __SSAT(gnext2, 16);
+
+      gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + gnext0;
+      gnext1 = __SSAT(gnext1, 16);
+
+      gnext0 = (q31_t) ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+      gnext0 = __SSAT(gnext0, 16);
+
+      /* Read g2(n-1), g4(n-1) .... from state */
+      gcurr0 = *px;
+
+      /* save g4(n) in state buffer */
+      *px++ = (q15_t) gnext3;
+
+      /* Sample processing for K5, K9.... */
+      /* Process first sample for 5th, 9th .. tap */
+      /* f5(n) = f4(n) +  K5 * g4(n-1) */
+      fcurr0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fnext0;
+      fcurr0 = __SSAT(fcurr0, 16);
+
+      /* Process second sample for 5th, 9th .. tap */
+      fcurr1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fnext1;
+      fcurr1 = __SSAT(fcurr1, 16);
+
+      /* Process third sample for 5th, 9th .. tap */
+      fcurr2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fnext2;
+      fcurr2 = __SSAT(fcurr2, 16);
+
+      /* Process fourth sample for 5th, 9th .. tap */
+      fcurr3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fnext3;
+      fcurr3 = __SSAT(fcurr3, 16);
+
+      /* Calculation of state values for next stage */
+      /* g5(n) = f4(n) * K5  +  g4(n-1) */
+      gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15U) + gnext2;
+      gnext3 = __SSAT(gnext3, 16);
+
+      gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15U) + gnext1;
+      gnext2 = __SSAT(gnext2, 16);
+
+      gnext1 = (q31_t) ((fnext1 * (*pk)) >> 15U) + gnext0;
+      gnext1 = __SSAT(gnext1, 16);
+
+      gnext0 = (q31_t) ((fnext0 * (*pk++)) >> 15U) + gcurr0;
+      gnext0 = __SSAT(gnext0, 16);
+
+      stageCnt--;
+    }
+
+    /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
+    stageCnt = (numStages - 1U) % 0x4U;
+
+    while (stageCnt > 0U)
+    {
+      gcurr0 = *px;
+
+      /* save g value in state buffer */
+      *px++ = (q15_t) gnext3;
+
+      /* Process four samples for last three taps here */
+      fnext0 = (q31_t) ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+      fnext0 = __SSAT(fnext0, 16);
+
+      fnext1 = (q31_t) ((gnext0 * (*pk)) >> 15U) + fcurr1;
+      fnext1 = __SSAT(fnext1, 16);
+
+      fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurr2;
+      fnext2 = __SSAT(fnext2, 16);
+
+      fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurr3;
+      fnext3 = __SSAT(fnext3, 16);
+
+      /* g1(n) = f0(n) * K1  +  g0(n-1) */
+      gnext3 = (q31_t) ((fcurr3 * (*pk)) >> 15U) + gnext2;
+      gnext3 = __SSAT(gnext3, 16);
+
+      gnext2 = (q31_t) ((fcurr2 * (*pk)) >> 15U) + gnext1;
+      gnext2 = __SSAT(gnext2, 16);
+
+      gnext1 = (q31_t) ((fcurr1 * (*pk)) >> 15U) + gnext0;
+      gnext1 = __SSAT(gnext1, 16);
+
+      gnext0 = (q31_t) ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+      gnext0 = __SSAT(gnext0, 16);
+
+      /* Update of f values for next coefficient set processing */
+      fcurr0 = fnext0;
+      fcurr1 = fnext1;
+      fcurr2 = fnext2;
+      fcurr3 = fnext3;
+
+      stageCnt--;
+    }
+
+    /* The results in the 4 accumulators, store in the destination buffer. */
+    /* y(n) = fN(n) */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+    write_q15x2_ia (&pDst, __PKHBT(fcurr0, fcurr1, 16));
+    write_q15x2_ia (&pDst, __PKHBT(fcurr2, fcurr3, 16));
+#else
+    write_q15x2_ia (&pDst, __PKHBT(fcurr1, fcurr0, 16));
+    write_q15x2_ia (&pDst, __PKHBT(fcurr3, fcurr2, 16));
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* f0(n) = x(n) */
+    fcurr0 = *pSrc++;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pk = pCoeffs;
+
+    /* read g2(n) from state buffer */
+    gcurr0 = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext0 = (((q31_t) gcurr0 * (*pk)) >> 15U) + fcurr0;
+    fnext0 = __SSAT(fnext0, 16);
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext0 = (((q31_t) fcurr0 * (*pk++)) >> 15U) + gcurr0;
+    gnext0 = __SSAT(gnext0, 16);
+
+    /* save g1(n) in state buffer */
+    *px++ = (q15_t) fcurr0;
+
+    /* f1(n) is saved in fcurr0 for next stage processing */
+    fcurr0 = fnext0;
+
+    stageCnt = (numStages - 1U);
+
+    /* stage loop */
+    while (stageCnt > 0U)
+    {
+      /* read g2(n) from state buffer */
+      gcurr0 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = (q15_t) gnext0;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext0 = (((q31_t) gcurr0 * (*pk)) >> 15U) + fcurr0;
+      fnext0 = __SSAT(fnext0, 16);
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext0 = (((q31_t) fcurr0 * (*pk++)) >> 15U) + gcurr0;
+      gnext0 = __SSAT(gnext0, 16);
+
+      /* f1(n) is saved in fcurr0 for next stage processing */
+      fcurr0 = fnext0;
+
+      stageCnt--;
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = __SSAT(fcurr0, 16);
+
+    blkCnt--;
+  }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* f0(n) = x(n) */
+    fcurr0 = *pSrc++;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pk = pCoeffs;
+
+    /* read g0(n-1) from state buffer */
+    gcurr0 = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext0 = ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+    fnext0 = __SSAT(fnext, 16);
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext0 = ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+    gnext0 = __SSAT(gnext0, 16);
+
+    /* save f0(n) in state buffer */
+    *px++ = (q15_t) fcurr0;
+
+    /* f1(n) is saved in fcurr for next stage processing */
+    fcurr0 = fnext0;
+
+    stageCnt = (numStages - 1U);
+
+    /* stage loop */
+    while (stageCnt > 0U)
+    {
+      /* read g1(n-1) from state buffer */
+      gcurr0 = *px;
+
+      /* save g0(n-1) in state buffer */
+      *px++ = (q15_t) gnext0;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext0 = ((gcurr0 * (*pk)) >> 15U) + fcurr0;
+      fnext0 = __SSAT(fnext0, 16);
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext0 = ((fcurr0 * (*pk++)) >> 15U) + gcurr0;
+      gnext0 = __SSAT(gnext0, 16);
+
+      /* f1(n) is saved in fcurr0 for next stage processing */
+      fcurr0 = fnext0;
+
+      stageCnt--;
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = __SSAT(fcurr0, 16);
+
+    blkCnt--;
+  }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of FIR_Lattice group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c
new file mode 100644
index 0000000..9d29295
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c
@@ -0,0 +1,505 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_lattice_q31.c
+ * Description:  Q31 FIR lattice filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Lattice
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 FIR lattice filter.
+  @param[in]     S          points to an instance of the Q31 FIR lattice structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   In order to avoid overflows the input signal must be scaled down by 2*log2(numStages) bits.
+ */
+
+void arm_fir_lattice_q31(
+  const arm_fir_lattice_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                     /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *px;                                     /* Temporary state pointer */
+  const q31_t *pk;                                     /* Temporary coefficient pointer */
+        uint32_t numStages = S->numStages;             /* Number of stages in the filter */
+        uint32_t blkCnt, stageCnt;                     /* Loop counters */
+        q31_t fcurr0, fnext0, gnext0, gcurr0;          /* Temporary variables */
+
+#if (1)
+//#if !defined(ARM_MATH_CM0_FAMILY)
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t fcurr1, fnext1, gnext1;                  /* Temporary variables for second sample in loop unrolling */
+        q31_t fcurr2, fnext2, gnext2;                  /* Temporary variables for third sample in loop unrolling */
+        q31_t fcurr3, fnext3, gnext3;                  /* Temporary variables for fourth sample in loop unrolling */
+#endif
+
+  gcurr0 = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Read two samples from input buffer */
+    /* f0(n) = x(n) */
+    fcurr0 = *pSrc++;
+    fcurr1 = *pSrc++;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pk = pCoeffs;
+
+    /* Read g0(n-1) from state buffer */
+    gcurr0 = *px;
+
+    /* Process first sample for first tap */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+    fnext0 = (fnext0 << 1U) + fcurr0;
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk)) >> 32U);
+    gnext0 = (gnext0 << 1U) + gcurr0;
+
+    /* Process second sample for first tap */
+    fnext1 = (q31_t) (((q63_t) fcurr0 * (*pk)) >> 32U);
+    fnext1 = (fnext1 << 1U) + fcurr1;
+    gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+    gnext1 = (gnext1 << 1U) + fcurr0;
+
+    /* Read next two samples from input buffer */
+    /* f0(n+2) = x(n+2) */
+    fcurr2 = *pSrc++;
+    fcurr3 = *pSrc++;
+
+    /* Process third sample for first tap */
+    fnext2 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+    fnext2 = (fnext2 << 1U) + fcurr2;
+    gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U);
+    gnext2 = (gnext2 << 1U) + fcurr1;
+
+    /* Process fourth sample for first tap */
+    fnext3 = (q31_t) (((q63_t) fcurr2 * (*pk  )) >> 32U);
+    fnext3 = (fnext3 << 1U) + fcurr3;
+    gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk++)) >> 32U);
+    gnext3 = (gnext3 << 1U) + fcurr2;
+
+    /* Copy only last input sample into the state buffer
+       which will be used for next samples processing */
+    *px++ = fcurr3;
+
+    /* Update of f values for next coefficient set processing */
+    fcurr0 = fnext0;
+    fcurr1 = fnext1;
+    fcurr2 = fnext2;
+    fcurr3 = fnext3;
+
+    /* Loop unrolling.  Process 4 taps at a time . */
+    stageCnt = (numStages - 1U) >> 2U;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.
+       Repeat until we've computed numStages-3 coefficients. */
+
+    /* Process 2nd, 3rd, 4th and 5th taps ... here */
+    while (stageCnt > 0U)
+    {
+      /* Read g1(n-1), g3(n-1) .... from state */
+      gcurr0 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext3;
+
+      /* Process first sample for 2nd, 6th .. tap */
+      /* Sample processing for K2, K6.... */
+      /* f1(n) = f0(n) +  K1 * g0(n-1) */
+      fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+      fnext0 = (fnext0 << 1U) + fcurr0;
+
+      /* Process second sample for 2nd, 6th .. tap */
+      /* for sample 2 processing */
+      fnext1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+      fnext1 = (fnext1 << 1U) + fcurr1;
+
+      /* Process third sample for 2nd, 6th .. tap */
+      fnext2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+      fnext2 = (fnext2 << 1U) + fcurr2;
+
+      /* Process fourth sample for 2nd, 6th .. tap */
+      fnext3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+      fnext3 = (fnext3 << 1U) + fcurr3;
+
+      /* g1(n) = f0(n) * K1  +  g0(n-1) */
+      /* Calculation of state values for next stage */
+      gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk)) >> 32U);
+      gnext3 = (gnext3 << 1U) + gnext2;
+
+      gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U);
+      gnext2 = (gnext2 << 1U) + gnext1;
+
+      gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+      gnext1 = (gnext1 << 1U) + gnext0;
+
+      gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+      gnext0 = (gnext0 << 1U) + gcurr0;
+
+
+      /* Read g2(n-1), g4(n-1) .... from state */
+      gcurr0 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext3;
+
+      /* Sample processing for K3, K7.... */
+      /* Process first sample for 3rd, 7th .. tap */
+      /* f3(n) = f2(n) +  K3 * g2(n-1) */
+      fcurr0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+      fcurr0 = (fcurr0 << 1U) + fnext0;
+
+      /* Process second sample for 3rd, 7th .. tap */
+      fcurr1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+      fcurr1 = (fcurr1 << 1U) + fnext1;
+
+      /* Process third sample for 3rd, 7th .. tap */
+      fcurr2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+      fcurr2 = (fcurr2 << 1U) + fnext2;
+
+      /* Process fourth sample for 3rd, 7th .. tap */
+      fcurr3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+      fcurr3 = (fcurr3 << 1U) + fnext3;
+
+      /* Calculation of state values for next stage */
+      /* g3(n) = f2(n) * K3  +  g2(n-1) */
+      gnext3 = (q31_t) (((q63_t) fnext3 * (*pk)) >> 32U);
+      gnext3 = (gnext3 << 1U) + gnext2;
+
+      gnext2 = (q31_t) (((q63_t) fnext2 * (*pk)) >> 32U);
+      gnext2 = (gnext2 << 1U) + gnext1;
+
+      gnext1 = (q31_t) (((q63_t) fnext1 * (*pk)) >> 32U);
+      gnext1 = (gnext1 << 1U) + gnext0;
+
+      gnext0 = (q31_t) (((q63_t) fnext0 * (*pk++)) >> 32U);
+      gnext0 = (gnext0 << 1U) + gcurr0;
+
+      /* Read g1(n-1), g3(n-1) .... from state */
+      gcurr0 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext3;
+
+      /* Sample processing for K4, K8.... */
+      /* Process first sample for 4th, 8th .. tap */
+      /* f4(n) = f3(n) +  K4 * g3(n-1) */
+      fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+      fnext0 = (fnext0 << 1U) + fcurr0;
+
+      /* Process second sample for 4th, 8th .. tap */
+      /* for sample 2 processing */
+      fnext1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+      fnext1 = (fnext1 << 1U) + fcurr1;
+
+      /* Process third sample for 4th, 8th .. tap */
+      fnext2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+      fnext2 = (fnext2 << 1U) + fcurr2;
+
+      /* Process fourth sample for 4th, 8th .. tap */
+      fnext3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+      fnext3 = (fnext3 << 1U) + fcurr3;
+
+      /* g4(n) = f3(n) * K4  +  g3(n-1) */
+      /* Calculation of state values for next stage */
+      gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk)) >> 32U);
+      gnext3 = (gnext3 << 1U) + gnext2;
+
+      gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U);
+      gnext2 = (gnext2 << 1U) + gnext1;
+
+      gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+      gnext1 = (gnext1 << 1U) + gnext0;
+
+      gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+      gnext0 = (gnext0 << 1U) + gcurr0;
+
+      /* Read g2(n-1), g4(n-1) .... from state */
+      gcurr0 = *px;
+
+      /* save g4(n) in state buffer */
+      *px++ = gnext3;
+
+      /* Sample processing for K5, K9.... */
+      /* Process first sample for 5th, 9th .. tap */
+      /* f5(n) = f4(n) +  K5 * g4(n-1) */
+      fcurr0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+      fcurr0 = (fcurr0 << 1U) + fnext0;
+
+      /* Process second sample for 5th, 9th .. tap */
+      fcurr1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+      fcurr1 = (fcurr1 << 1U) + fnext1;
+
+      /* Process third sample for 5th, 9th .. tap */
+      fcurr2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+      fcurr2 = (fcurr2 << 1U) + fnext2;
+
+      /* Process fourth sample for 5th, 9th .. tap */
+      fcurr3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+      fcurr3 = (fcurr3 << 1U) + fnext3;
+
+      /* Calculation of state values for next stage */
+      /* g5(n) = f4(n) * K5  +  g4(n-1) */
+      gnext3 = (q31_t) (((q63_t) fnext3 * (*pk)) >> 32U);
+      gnext3 = (gnext3 << 1U) + gnext2;
+
+      gnext2 = (q31_t) (((q63_t) fnext2 * (*pk)) >> 32U);
+      gnext2 = (gnext2 << 1U) + gnext1;
+
+      gnext1 = (q31_t) (((q63_t) fnext1 * (*pk)) >> 32U);
+      gnext1 = (gnext1 << 1U) + gnext0;
+
+      gnext0 = (q31_t) (((q63_t) fnext0 * (*pk++)) >> 32U);
+      gnext0 = (gnext0 << 1U) + gcurr0;
+
+      stageCnt--;
+    }
+
+    /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */
+    stageCnt = (numStages - 1U) % 0x4U;
+
+    while (stageCnt > 0U)
+    {
+      gcurr0 = *px;
+
+      /* save g value in state buffer */
+      *px++ = gnext3;
+
+      /* Process four samples for last three taps here */
+      fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+      fnext0 = (fnext0 << 1U) + fcurr0;
+
+      fnext1 = (q31_t) (((q63_t) gnext0 * (*pk)) >> 32U);
+      fnext1 = (fnext1 << 1U) + fcurr1;
+
+      fnext2 = (q31_t) (((q63_t) gnext1 * (*pk)) >> 32U);
+      fnext2 = (fnext2 << 1U) + fcurr2;
+
+      fnext3 = (q31_t) (((q63_t) gnext2 * (*pk)) >> 32U);
+      fnext3 = (fnext3 << 1U) + fcurr3;
+
+      /* g1(n) = f0(n) * K1  +  g0(n-1) */
+      gnext3 = (q31_t) (((q63_t) fcurr3 * (*pk)) >> 32U);
+      gnext3 = (gnext3 << 1U) + gnext2;
+
+      gnext2 = (q31_t) (((q63_t) fcurr2 * (*pk)) >> 32U);
+      gnext2 = (gnext2 << 1U) + gnext1;
+
+      gnext1 = (q31_t) (((q63_t) fcurr1 * (*pk)) >> 32U);
+      gnext1 = (gnext1 << 1U) + gnext0;
+
+      gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+      gnext0 = (gnext0 << 1U) + gcurr0;
+
+      /* Update of f values for next coefficient set processing */
+      fcurr0 = fnext0;
+      fcurr1 = fnext1;
+      fcurr2 = fnext2;
+      fcurr3 = fnext3;
+
+      stageCnt--;
+    }
+
+    /* The results in the 4 accumulators, store in the destination buffer. */
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr0;
+    *pDst++ = fcurr1;
+    *pDst++ = fcurr2;
+    *pDst++ = fcurr3;
+
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* f0(n) = x(n) */
+    fcurr0 = *pSrc++;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pk = pCoeffs;
+
+    /* read g2(n) from state buffer */
+    gcurr0 = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+    fnext0 = (fnext0 << 1U) + fcurr0;
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+    gnext0 = (gnext0 << 1U) + gcurr0;
+
+    /* save g1(n) in state buffer */
+    *px++ = fcurr0;
+
+    /* f1(n) is saved in fcurr0 for next stage processing */
+    fcurr0 = fnext0;
+
+    stageCnt = (numStages - 1U);
+
+    /* stage loop */
+    while (stageCnt > 0U)
+    {
+      /* read g2(n) from state buffer */
+      gcurr0 = *px;
+
+      /* save g1(n) in state buffer */
+      *px++ = gnext0;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+      fnext0 = (fnext0 << 1U) + fcurr0;
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+      gnext0 = (gnext0 << 1U) + gcurr0;
+
+      /* f1(n) is saved in fcurr0 for next stage processing */
+      fcurr0 = fnext0;
+
+      stageCnt--;
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr0;
+
+    blkCnt--;
+  }
+
+#else
+/* alternate version for CM0_FAMILY */
+
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* f0(n) = x(n) */
+    fcurr0 = *pSrc++;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pk = pCoeffs;
+
+    /* read g0(n-1) from state buffer */
+    gcurr0 = *px;
+
+    /* for sample 1 processing */
+    /* f1(n) = f0(n) +  K1 * g0(n-1) */
+    fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+    fnext0 = (fnext << 1U) + fcurr0;
+
+    /* g1(n) = f0(n) * K1  +  g0(n-1) */
+    gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+    gnext0 = (gnext0 << 1U) + gcurr0;
+
+    /* save f0(n) in state buffer */
+    *px++ = fcurr0;
+
+    /* f1(n) is saved in fcurr for next stage processing */
+    fcurr0 = fnext0;
+
+    stageCnt = (numStages - 1U);
+
+    /* stage loop */
+    while (stageCnt > 0U)
+    {
+      /* read g1(n-1) from state buffer */
+      gcurr0 = *px;
+
+      /* save g0(n-1) in state buffer */
+      *px++ = gnext0;
+
+      /* Sample processing for K2, K3.... */
+      /* f2(n) = f1(n) +  K2 * g1(n-1) */
+      fnext0 = (q31_t) (((q63_t) gcurr0 * (*pk)) >> 32U);
+      fnext0 = (fnext0 << 1U) + fcurr0;
+
+      /* g2(n) = f1(n) * K2  +  g1(n-1) */
+      gnext0 = (q31_t) (((q63_t) fcurr0 * (*pk++)) >> 32U);
+      gnext0 = (gnext0 << 1U) + gcurr0;
+
+      /* f1(n) is saved in fcurr0 for next stage processing */
+      fcurr0 = fnext0;
+
+      stageCnt--;
+    }
+
+    /* y(n) = fN(n) */
+    *pDst++ = fcurr0;
+
+    blkCnt--;
+  }
+
+#endif /* #if !defined(ARM_MATH_CM0_FAMILY) */
+
+}
+
+/**
+  @} end of FIR_Lattice group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c
new file mode 100644
index 0000000..48506a8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c
@@ -0,0 +1,332 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_q15.c
+ * Description:  Q15 FIR filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q15 FIR filter.
+  @param[in]     S          points to an instance of the Q15 FIR filter structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+                   The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+                   There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+                   After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+                   Lastly, the accumulator is saturated to yield a result in 1.15 format.
+
+  @remark
+                   Refer to \ref arm_fir_fast_q15() for a faster but less precise implementation of this function.
+ */
+
+void arm_fir_q15(
+  const arm_fir_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q15_t *px;                                     /* Temporary pointer for state buffer */
+  const q15_t *pb;                                     /* Temporary pointer for coefficient buffer */
+        q63_t acc0;                                    /* Accumulators */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t tapCnt, blkCnt;                       /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q63_t acc1, acc2, acc3;                        /* Accumulators */
+        q31_t x0, x1, x2, c0;                          /* Temporary variables to hold state and coefficient values */
+#endif
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 output values simultaneously.
+   * The variables acc0 ... acc3 hold output values that are being computed:
+   *
+   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+   *    acc1 =  b[numTaps-1] * x[n-numTaps]   + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps]   + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]
+   */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy 4 new input samples into the state buffer. */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set all accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */
+    px = pState;
+
+    /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */
+    pb = pCoeffs;
+
+    /* Read the first two samples from the state buffer:  x[n-N], x[n-N-1] */
+    x0 = read_q15x2_ia (&px);
+
+    /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */
+    x2 = read_q15x2_ia (&px);
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.
+       Repeat until we've computed numTaps-(numTaps%4) coefficients. */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the first two coefficients using SIMD:  b[N] and b[N-1] coefficients */
+      c0 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* acc0 +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+      acc0 = __SMLALD(x0, c0, acc0);
+
+      /* acc2 +=  b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */
+      acc2 = __SMLALD(x2, c0, acc2);
+
+      /* pack  x[n-N-1] and x[n-N-2] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x2, x0, 0);
+#else
+      x1 = __PKHBT(x0, x2, 0);
+#endif
+
+      /* Read state x[n-N-4], x[n-N-5] */
+      x0 = read_q15x2_ia (&px);
+
+      /* acc1 +=  b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */
+      acc1 = __SMLALDX(x1, c0, acc1);
+
+      /* pack  x[n-N-3] and x[n-N-4] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x0, x2, 0);
+#else
+      x1 = __PKHBT(x2, x0, 0);
+#endif
+
+      /* acc3 +=  b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */
+      acc3 = __SMLALDX(x1, c0, acc3);
+
+      /* Read coefficients b[N-2], b[N-3] */
+      c0 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* acc0 +=  b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */
+      acc0 = __SMLALD(x2, c0, acc0);
+
+      /* Read state x[n-N-6], x[n-N-7] with offset */
+      x2 = read_q15x2_ia (&px);
+
+      /* acc2 +=  b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */
+      acc2 = __SMLALD(x0, c0, acc2);
+
+      /* acc1 +=  b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */
+      acc1 = __SMLALDX(x1, c0, acc1);
+
+      /* pack  x[n-N-5] and x[n-N-6] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x2, x0, 0);
+#else
+      x1 = __PKHBT(x0, x2, 0);
+#endif
+
+      /* acc3 +=  b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */
+      acc3 = __SMLALDX(x1, c0, acc3);
+
+      /* Decrement tap count */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps.
+       This is always be 2 taps since the filter length is even. */
+    if ((numTaps & 0x3U) != 0U)
+    {
+      /* Read last two coefficients */
+      c0 = read_q15x2_ia ((q15_t **) &pb);
+
+      /* Perform the multiply-accumulates */
+      acc0 = __SMLALD(x0, c0, acc0);
+      acc2 = __SMLALD(x2, c0, acc2);
+
+      /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x2, x0, 0);
+#else
+      x1 = __PKHBT(x0, x2, 0);
+#endif
+
+      /* Read last state variables */
+      x0 = read_q15x2 (px);
+
+      /* Perform the multiply-accumulates */
+      acc1 = __SMLALDX(x1, c0, acc1);
+
+      /* pack state variables */
+#ifndef ARM_MATH_BIG_ENDIAN
+      x1 = __PKHBT(x0, x2, 0);
+#else
+      x1 = __PKHBT(x2, x0, 0);
+#endif
+
+      /* Perform the multiply-accumulates */
+      acc3 = __SMLALDX(x1, c0, acc3);
+    }
+
+    /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation.
+       Then store the 4 outputs in the destination buffer. */
+#ifndef ARM_MATH_BIG_ENDIAN
+    write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16));
+    write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16));
+#else
+    write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16));
+    write_q15x2_ia (&pDst, __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 4U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining output samples */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of taps */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Copy two samples into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc0 = 0;
+
+    /* Use SIMD to hold states and coefficients */
+    px = pState;
+    pb = pCoeffs;
+
+    tapCnt = numTaps >> 1U;
+
+    do
+    {
+      acc0 += (q31_t) *px++ * *pb++;
+	  acc0 += (q31_t) *px++ * *pb++;
+
+      tapCnt--;
+    }
+    while (tapCnt > 0U);
+
+    /* The result is in 2.30 format. Convert to 1.15 with saturation.
+       Then store the output in the destination buffer. */
+    *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16));
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the start of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+  /* Initialize tapCnt with number of taps */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Copy remaining data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+
+/**
+  @} end of FIR group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c
new file mode 100644
index 0000000..518f87a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c
@@ -0,0 +1,288 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_q31.c
+ * Description:  Q31 FIR filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR
+  @{
+ */
+
+/**
+  @brief         Processing function for Q31 FIR filter.
+  @param[in]     S          points to an instance of the Q31 FIR filter structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   Thus, if the accumulator result overflows it wraps around rather than clip.
+                   In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits.
+                   After all multiply-accumulates are performed, the 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+
+ @remark
+                   Refer to \ref arm_fir_fast_q31() for a faster but less precise implementation of this filter.
+ */
+
+void arm_fir_q31(
+  const arm_fir_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                     /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q31_t *px;                                     /* Temporary pointer for state buffer */
+  const q31_t *pb;                                     /* Temporary pointer for coefficient buffer */
+        q63_t acc0;                                    /* Accumulator */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q63_t acc1, acc2;                              /* Accumulators */
+        q31_t x0, x1, x2;                              /* Temporary variables to hold state values */
+        q31_t c0;                                      /* Temporary variable to hold coefficient value */
+#endif
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 output values simultaneously.
+   * The variables acc0 ... acc3 hold output values that are being computed:
+   *
+   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+   *    acc1 =  b[numTaps-1] * x[n-numTaps]   + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps]   + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]
+   */
+
+  blkCnt = blockSize / 3;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy 3 new input samples into the state buffer. */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set all accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Read the first 2 samples from the state buffer: x[n-numTaps], x[n-numTaps-1] */
+    x0 = *px++;
+    x1 = *px++;
+
+    /* Loop unrolling: process 3 taps at a time. */
+    tapCnt = numTaps / 3;
+
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps] coefficient */
+      c0 = *pb;
+
+      /* Read x[n-numTaps-2] sample */
+      x2 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q63_t) x0 * c0);
+      acc1 += ((q63_t) x1 * c0);
+      acc2 += ((q63_t) x2 * c0);
+
+      /* Read the coefficient and state */
+      c0 = *(pb + 1U);
+      x0 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q63_t) x1 * c0);
+      acc1 += ((q63_t) x2 * c0);
+      acc2 += ((q63_t) x0 * c0);
+
+      /* Read the coefficient and state */
+      c0 = *(pb + 2U);
+      x1 = *(px++);
+
+      /* update coefficient pointer */
+      pb += 3U;
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q63_t) x2 * c0);
+      acc1 += ((q63_t) x0 * c0);
+      acc2 += ((q63_t) x1 * c0);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    tapCnt = numTaps % 0x3U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch 1 state variable */
+      x2 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q63_t) x0 * c0);
+      acc1 += ((q63_t) x1 * c0);
+      acc2 += ((q63_t) x2 * c0);
+
+      /* Reuse the present sample states for next sample */
+      x0 = x1;
+      x1 = x2;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Advance the state pointer by 3 to process the next group of 3 samples */
+    pState = pState + 3;
+
+    /* The result is in 2.30 format. Convert to 1.31 and store in destination buffer. */
+    *pDst++ = (q31_t) (acc0 >> 31U);
+    *pDst++ = (q31_t) (acc1 >> 31U);
+    *pDst++ = (q31_t) (acc2 >> 31U);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining output samples */
+  blkCnt = blockSize % 0x3U;
+
+#else
+
+  /* Initialize blkCnt with number of taps */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Copy one sample at a time into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize Coefficient pointer */
+    pb = pCoeffs;
+
+    i = numTaps;
+
+    /* Perform the multiply-accumulates */
+    do
+    {
+      /* acc =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */
+      acc0 += (q63_t) *px++ * *pb++;
+
+      i--;
+    } while (i > 0U);
+
+    /* Result is in 2.62 format. Convert to 1.31 and store in destination buffer. */
+    *pDst++ = (q31_t) (acc0 >> 31U);
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the start of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+  /* Initialize tapCnt with number of taps */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Copy remaining data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+
+/**
+  @} end of FIR group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c
new file mode 100644
index 0000000..7c9f5bf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c
@@ -0,0 +1,323 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_q7.c
+ * Description:  Q7 FIR filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR
+  @{
+ */
+
+/**
+  @brief         Processing function for Q7 FIR filter.
+  @param[in]     S          points to an instance of the Q7 FIR filter structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 32-bit internal accumulator.
+                   Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result.
+                   The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+                   There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+                   The accumulator is converted to 18.7 format by discarding the low 7 bits.
+                   Finally, the result is truncated to 1.7 format.
+ */
+
+void arm_fir_q7(
+  const arm_fir_instance_q7 * S,
+  const q7_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        q7_t *pState = S->pState;                      /* State pointer */
+  const q7_t *pCoeffs = S->pCoeffs;                    /* Coefficient pointer */
+        q7_t *pStateCurnt;                             /* Points to the current sample of the state */
+        q7_t *px;                                      /* Temporary pointer for state buffer */
+  const q7_t *pb;                                      /* Temporary pointer for coefficient buffer */
+        q31_t acc0;                                    /* Accumulators */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t i, tapCnt, blkCnt;                    /* Loop counters */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t acc1, acc2, acc3;                        /* Accumulators */
+        q7_t x0, x1, x2, x3, c0;                       /* Temporary variables to hold state */
+#endif
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 output values simultaneously.
+   * The variables acc0 ... acc3 hold output values that are being computed:
+   *
+   *    acc0 =  b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0]
+   *    acc1 =  b[numTaps-1] * x[n-numTaps]   + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1]
+   *    acc2 =  b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps]   + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2]
+   *    acc3 =  b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps]   +...+ b[0] * x[3]
+   */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy 4 new input samples into the state buffer. */
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set all accumulators to zero */
+    acc0 = 0;
+    acc1 = 0;
+    acc2 = 0;
+    acc3 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Read the first 3 samples from the state buffer:
+     *  x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */
+    x0 = *px++;
+    x1 = *px++;
+    x2 = *px++;
+
+    /* Loop unrolling. Process 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    /* Loop over the number of taps.  Unroll by a factor of 4.
+       Repeat until we've computed numTaps-4 coefficients. */
+    while (tapCnt > 0U)
+    {
+      /* Read the b[numTaps] coefficient */
+      c0 = *pb;
+
+      /* Read x[n-numTaps-3] sample */
+      x3 = *px;
+
+      /* acc0 +=  b[numTaps] * x[n-numTaps] */
+      acc0 += ((q15_t) x0 * c0);
+
+      /* acc1 +=  b[numTaps] * x[n-numTaps-1] */
+      acc1 += ((q15_t) x1 * c0);
+
+      /* acc2 +=  b[numTaps] * x[n-numTaps-2] */
+      acc2 += ((q15_t) x2 * c0);
+
+      /* acc3 +=  b[numTaps] * x[n-numTaps-3] */
+      acc3 += ((q15_t) x3 * c0);
+
+      /* Read the b[numTaps-1] coefficient */
+      c0 = *(pb + 1U);
+
+      /* Read x[n-numTaps-4] sample */
+      x0 = *(px + 1U);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q15_t) x1 * c0);
+      acc1 += ((q15_t) x2 * c0);
+      acc2 += ((q15_t) x3 * c0);
+      acc3 += ((q15_t) x0 * c0);
+
+      /* Read the b[numTaps-2] coefficient */
+      c0 = *(pb + 2U);
+
+      /* Read x[n-numTaps-5] sample */
+      x1 = *(px + 2U);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q15_t) x2 * c0);
+      acc1 += ((q15_t) x3 * c0);
+      acc2 += ((q15_t) x0 * c0);
+      acc3 += ((q15_t) x1 * c0);
+
+      /* Read the b[numTaps-3] coefficients */
+      c0 = *(pb + 3U);
+
+      /* Read x[n-numTaps-6] sample */
+      x2 = *(px + 3U);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q15_t) x3 * c0);
+      acc1 += ((q15_t) x0 * c0);
+      acc2 += ((q15_t) x1 * c0);
+      acc3 += ((q15_t) x2 * c0);
+
+      /* update coefficient pointer */
+      pb += 4U;
+      px += 4U;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read coefficients */
+      c0 = *(pb++);
+
+      /* Fetch 1 state variable */
+      x3 = *(px++);
+
+      /* Perform the multiply-accumulates */
+      acc0 += ((q15_t) x0 * c0);
+      acc1 += ((q15_t) x1 * c0);
+      acc2 += ((q15_t) x2 * c0);
+      acc3 += ((q15_t) x3 * c0);
+
+      /* Reuse the present sample states for next sample */
+      x0 = x1;
+      x1 = x2;
+      x2 = x3;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* The results in the 4 accumulators are in 2.62 format. Convert to 1.31
+       Then store the 4 outputs in the destination buffer. */
+    acc0 = __SSAT((acc0 >> 7U), 8);
+    *pDst++ = acc0;
+    acc1 = __SSAT((acc1 >> 7U), 8);
+    *pDst++ = acc1;
+    acc2 = __SSAT((acc2 >> 7U), 8);
+    *pDst++ = acc2;
+    acc3 = __SSAT((acc3 >> 7U), 8);
+    *pDst++ = acc3;
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 4U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining output samples */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of taps */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Copy one sample at a time into state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Set the accumulator to zero */
+    acc0 = 0;
+
+    /* Initialize state pointer */
+    px = pState;
+
+    /* Initialize Coefficient pointer */
+    pb = pCoeffs;
+
+    i = numTaps;
+
+    /* Perform the multiply-accumulates */
+    do
+    {
+      acc0 += (q15_t) * (px++) * (*(pb++));
+      i--;
+    } while (i > 0U);
+
+    /* The result is in 2.14 format. Convert to 1.7
+       Then store the output in the destination buffer. */
+    *pDst++ = __SSAT((acc0 >> 7U), 8);
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the start of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the state buffer */
+  pStateCurnt = S->pState;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+  /* Initialize tapCnt with number of taps */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  /* Copy remaining data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+}
+
+/**
+  @} end of FIR group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c
new file mode 100644
index 0000000..d31ba4c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c
@@ -0,0 +1,341 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_sparse_f32.c
+ * Description:  Floating-point sparse FIR filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @defgroup FIR_Sparse Finite Impulse Response (FIR) Sparse Filters
+
+  This group of functions implements sparse FIR filters.
+  Sparse FIR filters are equivalent to standard FIR filters except that most of the coefficients are equal to zero.
+  Sparse filters are used for simulating reflections in communications and audio applications.
+
+  There are separate functions for Q7, Q15, Q31, and floating-point data types.
+  The functions operate on blocks  of input and output data and each call to the function processes
+  <code>blockSize</code> samples through the filter.  <code>pSrc</code> and
+  <code>pDst</code> points to input and output arrays respectively containing <code>blockSize</code> values.
+
+  @par           Algorithm
+                   The sparse filter instant structure contains an array of tap indices <code>pTapDelay</code> which specifies the locations of the non-zero coefficients.
+                   This is in addition to the coefficient array <code>b</code>.
+                   The implementation essentially skips the multiplications by zero and leads to an efficient realization.
+  <pre>
+      y[n] = b[0] * x[n-pTapDelay[0]] + b[1] * x[n-pTapDelay[1]] + b[2] * x[n-pTapDelay[2]] + ...+ b[numTaps-1] * x[n-pTapDelay[numTaps-1]]
+  </pre>
+  @par
+                   \image html FIRSparse.gif "Sparse FIR filter.  b[n] represents the filter coefficients"
+  @par
+                   <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>;
+                   <code>pTapDelay</code> points to an array of nonzero indices and is also of size <code>numTaps</code>;
+                   <code>pState</code> points to a state array of size <code>maxDelay + blockSize</code>, where
+                   <code>maxDelay</code> is the largest offset value that is ever used in the <code>pTapDelay</code> array.
+                   Some of the processing functions also require temporary working buffers.
+
+  @par           Instance Structure
+                   The coefficients and state variables for a filter are stored together in an instance data structure.
+                   A separate instance structure must be defined for each filter.
+                   Coefficient and offset arrays may be shared among several instances while state variable arrays cannot be shared.
+                   There are separate instance structure declarations for each of the 4 supported data types.
+
+  @par           Initialization Functions
+                   There is also an associated initialization function for each data type.
+                   The initialization function performs the following operations:
+                   - Sets the values of the internal structure fields.
+                   - Zeros out the values in the state buffer.
+                   To do this manually without calling the init function, assign the follow subfields of the instance structure:
+                   numTaps, pCoeffs, pTapDelay, maxDelay, stateIndex, pState. Also set all of the values in pState to zero.
+  @par
+                   Use of the initialization function is optional.
+                   However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+                   To place an instance structure into a const data section, the instance structure must be manually initialized.
+                   Set the values in the state buffer to zeros before static initialization.
+                   The code below statically initializes each of the 4 different data type filter instance structures
+  <pre>
+      arm_fir_sparse_instance_f32 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+      arm_fir_sparse_instance_q31 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+      arm_fir_sparse_instance_q15 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+      arm_fir_sparse_instance_q7 S =  {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+  </pre>
+
+  @par           Fixed-Point Behavior
+                   Care must be taken when using the fixed-point versions of the sparse FIR filter functions.
+                   In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+                   Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+  @addtogroup FIR_Sparse
+  @{
+ */
+
+/**
+  @brief         Processing function for the floating-point sparse FIR filter.
+  @param[in]     S           points to an instance of the floating-point sparse FIR structure
+  @param[in]     pSrc        points to the block of input data
+  @param[out]    pDst        points to the block of output data
+  @param[in]     pScratchIn  points to a temporary buffer of size blockSize
+  @param[in]     blockSize   number of input samples to process
+  @return        none
+ */
+
+void arm_fir_sparse_f32(
+        arm_fir_sparse_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        float32_t * pScratchIn,
+        uint32_t blockSize)
+{
+        float32_t *pState = S->pState;                 /* State pointer */
+  const float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *px;                                 /* Scratch buffer pointer */
+        float32_t *py = pState;                        /* Temporary pointers for state buffer */
+        float32_t *pb = pScratchIn;                    /* Temporary pointers for scratch buffer */
+        float32_t *pOut;                               /* Destination pointer */
+        int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
+        uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
+        uint16_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter  */
+        int32_t readIndex;                             /* Read index of the state buffer */
+        uint32_t tapCnt, blkCnt;                       /* loop counters */
+        float32_t coeff = *pCoeffs++;                  /* Read the first coefficient value */
+
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1, (int32_t *) pSrc, 1, blockSize);
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if (readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                       (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time. */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiplications and store in destination buffer */
+    *pOut++ = *px++ * coeff;
+
+    *pOut++ = *px++ * coeff;
+
+    *pOut++ = *px++ * coeff;
+
+    *pOut++ = *px++ * coeff;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiplication and store in destination buffer */
+    *pOut++ = *px++ * coeff;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Load the coefficient value and
+   * increment the coefficient buffer for the next set of state values */
+  coeff = *pCoeffs++;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if (readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 2U;
+
+  while (tapCnt > 0U)
+  {
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                         (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time. */
+    blkCnt = blockSize >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* Perform Multiply-Accumulate */
+      *pOut++ += *px++ * coeff;
+
+      *pOut++ += *px++ * coeff;
+
+      *pOut++ += *px++ * coeff;
+
+      *pOut++ += *px++ * coeff;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = blockSize % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* Perform Multiply-Accumulate */
+      *pOut++ += *px++ * coeff;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Load the coefficient value and
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if (readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Decrement tap loop counter */
+    tapCnt--;
+  }
+
+  /* Compute last tap without the final read of pTapDelay */
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                       (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time. */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiply-Accumulate */
+    *pOut++ += *px++ * coeff;
+    *pOut++ += *px++ * coeff;
+    *pOut++ += *px++ * coeff;
+    *pOut++ += *px++ * coeff;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiply-Accumulate */
+    *pOut++ += *px++ * coeff;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of FIR_Sparse group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
new file mode 100644
index 0000000..978ca46
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
@@ -0,0 +1,93 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_sparse_init_f32.c
+ * Description:  Floating-point sparse FIR filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Sparse
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point sparse FIR filter.
+  @param[in,out] S          points to an instance of the floating-point sparse FIR structure
+  @param[in]     numTaps    number of nonzero coefficients in the filter
+  @param[in]     pCoeffs    points to the array of filter coefficients
+  @param[in]     pState     points to the state buffer
+  @param[in]     pTapDelay  points to the array of offset times
+  @param[in]     maxDelay   maximum offset time supported
+  @param[in]     blockSize  number of samples that will be processed per block
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>.
+                   <code>pState</code> holds the filter's state variables and must be of length
+                   <code>maxDelay + blockSize</code>, where <code>maxDelay</code>
+                   is the maximum number of delay line values.
+                   <code>blockSize</code> is the 
+                   number of samples processed by the <code>arm_fir_sparse_f32()</code> function.
+ */
+
+void arm_fir_sparse_init_f32(
+        arm_fir_sparse_instance_f32 * S,
+        uint16_t numTaps,
+  const float32_t * pCoeffs,
+        float32_t * pState,
+        int32_t * pTapDelay,
+        uint16_t maxDelay,
+        uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Assign TapDelay pointer */
+  S->pTapDelay = pTapDelay;
+
+  /* Assign MaxDelay */
+  S->maxDelay = maxDelay;
+
+  /* reset the stateIndex to 0 */
+  S->stateIndex = 0U;
+
+  /* Clear state buffer and size is always maxDelay + blockSize */
+  memset(pState, 0, (maxDelay + blockSize) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of FIR_Sparse group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
new file mode 100644
index 0000000..5f6ab54
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
@@ -0,0 +1,93 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_sparse_init_q15.c
+ * Description:  Q15 sparse FIR filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Sparse
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q15 sparse FIR filter.
+  @param[in,out] S          points to an instance of the Q15 sparse FIR structure
+  @param[in]     numTaps    number of nonzero coefficients in the filter
+  @param[in]     pCoeffs    points to the array of filter coefficients
+  @param[in]     pState     points to the state buffer
+  @param[in]     pTapDelay  points to the array of offset times
+  @param[in]     maxDelay   maximum offset time supported
+  @param[in]     blockSize  number of samples that will be processed per block
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>.
+                   <code>pState</code> holds the filter's state variables and must be of length
+                   <code>maxDelay + blockSize</code>, where <code>maxDelay</code>
+                   is the maximum number of delay line values.
+                   <code>blockSize</code> is the
+                   number of words processed by <code>arm_fir_sparse_q15()</code> function.
+ */
+
+void arm_fir_sparse_init_q15(
+        arm_fir_sparse_instance_q15 * S,
+        uint16_t numTaps,
+  const q15_t * pCoeffs,
+        q15_t * pState,
+        int32_t * pTapDelay,
+        uint16_t maxDelay,
+        uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Assign TapDelay pointer */
+  S->pTapDelay = pTapDelay;
+
+  /* Assign MaxDelay */
+  S->maxDelay = maxDelay;
+
+  /* reset the stateIndex to 0 */
+  S->stateIndex = 0U;
+
+  /* Clear state buffer and size is always maxDelay + blockSize */
+  memset(pState, 0, (maxDelay + blockSize) * sizeof(q15_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of FIR_Sparse group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
new file mode 100644
index 0000000..ec9232c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_sparse_init_q31.c
+ * Description:  Q31 sparse FIR filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Sparse
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q31 sparse FIR filter.
+  @param[in,out] S          points to an instance of the Q31 sparse FIR structure
+  @param[in]     numTaps    number of nonzero coefficients in the filter
+  @param[in]     pCoeffs    points to the array of filter coefficients
+  @param[in]     pState     points to the state buffer
+  @param[in]     pTapDelay  points to the array of offset times
+  @param[in]     maxDelay   maximum offset time supported
+  @param[in]     blockSize  number of samples that will be processed per block
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>.
+                   <code>pState</code> holds the filter's state variables and must be of length
+                   <code>maxDelay + blockSize</code>, where <code>maxDelay</code>
+                   is the maximum number of delay line values.
+                   <code>blockSize</code> is the number of words processed by <code>arm_fir_sparse_q31()</code> function.
+ */
+
+void arm_fir_sparse_init_q31(
+        arm_fir_sparse_instance_q31 * S,
+        uint16_t numTaps,
+  const q31_t * pCoeffs,
+        q31_t * pState,
+        int32_t * pTapDelay,
+        uint16_t maxDelay,
+        uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Assign TapDelay pointer */
+  S->pTapDelay = pTapDelay;
+
+  /* Assign MaxDelay */
+  S->maxDelay = maxDelay;
+
+  /* reset the stateIndex to 0 */
+  S->stateIndex = 0U;
+
+  /* Clear state buffer and size is always maxDelay + blockSize */
+  memset(pState, 0, (maxDelay + blockSize) * sizeof(q31_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of FIR_Sparse group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
new file mode 100644
index 0000000..f72ea25
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
@@ -0,0 +1,93 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_sparse_init_q7.c
+ * Description:  Q7 sparse FIR filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Sparse
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q7 sparse FIR filter.
+  @param[in,out] S          points to an instance of the Q7 sparse FIR structure
+  @param[in]     numTaps    number of nonzero coefficients in the filter
+  @param[in]     pCoeffs    points to the array of filter coefficients
+  @param[in]     pState     points to the state buffer
+  @param[in]     pTapDelay  points to the array of offset times
+  @param[in]     maxDelay   maximum offset time supported
+  @param[in]     blockSize  number of samples that will be processed per block
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> holds the filter coefficients and has length <code>numTaps</code>.
+                   <code>pState</code> holds the filter's state variables and must be of length
+                   <code>maxDelay + blockSize</code>, where <code>maxDelay</code>
+                   is the maximum number of delay line values.
+                   <code>blockSize</code> is the
+                   number of samples processed by the <code>arm_fir_sparse_q7()</code> function.
+ */
+
+void arm_fir_sparse_init_q7(
+        arm_fir_sparse_instance_q7 * S,
+        uint16_t numTaps,
+  const q7_t * pCoeffs,
+        q7_t * pState,
+        int32_t * pTapDelay,
+        uint16_t maxDelay,
+        uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Assign TapDelay pointer */
+  S->pTapDelay = pTapDelay;
+
+  /* Assign MaxDelay */
+  S->maxDelay = maxDelay;
+
+  /* reset the stateIndex to 0 */
+  S->stateIndex = 0U;
+
+  /* Clear state buffer and size is always maxDelay + blockSize */
+  memset(pState, 0, (maxDelay + blockSize) * sizeof(q7_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of FIR_Sparse group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c
new file mode 100644
index 0000000..99002b8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c
@@ -0,0 +1,341 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_sparse_q15.c
+ * Description:  Q15 sparse FIR filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Sparse
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q15 sparse FIR filter.
+  @param[in]     S           points to an instance of the Q15 sparse FIR structure
+  @param[in]     pSrc        points to the block of input data
+  @param[out]    pDst        points to the block of output data
+  @param[in]     pScratchIn  points to a temporary buffer of size blockSize
+  @param[in]     pScratchOut points to a temporary buffer of size blockSize
+  @param[in]     blockSize   number of input samples to process per call
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 32-bit accumulator.
+                   The 1.15 x 1.15 multiplications yield a 2.30 result and these are added to a 2.30 accumulator.
+                   Thus the full precision of the multiplications is maintained but there is only a single guard bit in the accumulator.
+                   If the accumulator result overflows it will wrap around rather than saturate.
+                   After all multiply-accumulates are performed, the 2.30 accumulator is truncated to 2.15 format and then saturated to 1.15 format.
+                   In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits.
+ */
+
+void arm_fir_sparse_q15(
+        arm_fir_sparse_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        q15_t * pScratchIn,
+        q31_t * pScratchOut,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+  const q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *px;                                     /* Temporary pointers for scratch buffer */
+        q15_t *py = pState;                            /* Temporary pointers for state buffer */
+        q15_t *pb = pScratchIn;                        /* Temporary pointers for scratch buffer */
+        q15_t *pOut = pDst;                            /* Working pointer for output */
+        int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
+        uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
+        uint16_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter  */
+        int32_t readIndex;                             /* Read index of the state buffer */
+        uint32_t tapCnt, blkCnt;                       /* loop counters */
+        q31_t *pScr2 = pScratchOut;                    /* Working pointer for scratch buffer of output values */
+        q15_t coeff = *pCoeffs++;                      /* Read the first coefficient value */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t in1, in2;                                /* Temporary variables */
+#endif
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_q15(py, (int32_t) delaySize, &S->stateIndex, 1,pSrc, 1, blockSize);
+
+  /* Loop over the number of taps. */
+  tapCnt = numTaps;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if (readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_q15(py, (int32_t) delaySize, &readIndex, 1,
+                       pb, pb, (int32_t) blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time. */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Perform multiplication and store in the scratch buffer */
+    *pScratchOut++ = ((q31_t) *px++ * coeff);
+    *pScratchOut++ = ((q31_t) *px++ * coeff);
+    *pScratchOut++ = ((q31_t) *px++ * coeff);
+    *pScratchOut++ = ((q31_t) *px++ * coeff);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiplication and store in the scratch buffer */
+    *pScratchOut++ = ((q31_t) *px++ * coeff);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Load the coefficient value and
+   * increment the coefficient buffer for the next set of state values */
+  coeff = *pCoeffs++;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if (readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 2U;
+
+  while (tapCnt > 0U)
+  {
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_q15(py, (int32_t) delaySize, &readIndex, 1,
+                         pb, pb, (int32_t) blockSize, 1, blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time. */
+    blkCnt = blockSize >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* Perform Multiply-Accumulate */
+      *pScratchOut++ += (q31_t) *px++ * coeff;
+      *pScratchOut++ += (q31_t) *px++ * coeff;
+      *pScratchOut++ += (q31_t) *px++ * coeff;
+      *pScratchOut++ += (q31_t) *px++ * coeff;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = blockSize % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* Perform Multiply-Accumulate */
+      *pScratchOut++ += (q31_t) *px++ * coeff;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Load the coefficient value and
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if (readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Compute last tap without the final read of pTapDelay */
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_q15(py, (int32_t) delaySize, &readIndex, 1,
+                       pb, pb, (int32_t) blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time. */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiply-Accumulate */
+    *pScratchOut++ += (q31_t) *px++ * coeff;
+    *pScratchOut++ += (q31_t) *px++ * coeff;
+    *pScratchOut++ += (q31_t) *px++ * coeff;
+    *pScratchOut++ += (q31_t) *px++ * coeff;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiply-Accumulate */
+    *pScratchOut++ += (q31_t) *px++ * coeff;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* All the output values are in pScratchOut buffer.
+     Convert them into 1.15 format, saturate and store in the destination buffer. */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time. */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    in1 = *pScr2++;
+    in2 = *pScr2++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16), 16));
+#else
+    write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    in1 = *pScr2++;
+    in2 = *pScr2++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16), 16));
+#else
+    write_q15x2_ia (&pOut, __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16), 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of FIR_Sparse group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c
new file mode 100644
index 0000000..7c92431
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c
@@ -0,0 +1,357 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_sparse_q31.c
+ * Description:  Q31 sparse FIR filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Sparse
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 sparse FIR filter.
+  @param[in]     S           points to an instance of the Q31 sparse FIR structure
+  @param[in]     pSrc        points to the block of input data
+  @param[out]    pDst        points to the block of output data
+  @param[in]     pScratchIn  points to a temporary buffer of size blockSize
+  @param[in]     blockSize   number of input samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 32-bit accumulator.
+                   The 1.31 x 1.31 multiplications are truncated to 2.30 format.
+                   This leads to loss of precision on the intermediate multiplications and provides only a single guard bit.
+                   If the accumulator result overflows, it wraps around rather than saturate.
+                   In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits.
+ */
+
+void arm_fir_sparse_q31(
+        arm_fir_sparse_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        q31_t * pScratchIn,
+        uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                     /* State pointer */
+  const q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *px;                                     /* Scratch buffer pointer */
+        q31_t *py = pState;                            /* Temporary pointers for state buffer */
+        q31_t *pb = pScratchIn;                        /* Temporary pointers for scratch buffer */
+        q31_t *pOut;                                   /* Destination pointer */
+        int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
+        uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
+        uint16_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter  */
+        int32_t readIndex;                             /* Read index of the state buffer */
+        uint32_t tapCnt, blkCnt;                       /* loop counters */
+        q31_t coeff = *pCoeffs++;                      /* Read the first coefficient value */
+        q31_t in;
+        q63_t out;                                     /* Temporary output variable */
+
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1,
+                        (int32_t *) pSrc, 1, blockSize);
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if (readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                       (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time. */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiplications and store in destination buffer */
+    *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+    *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+    *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+    *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiplication and store in destination buffer */
+    *pOut++ = (q31_t) (((q63_t) *px++ * coeff) >> 32);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Load the coefficient value and
+   * increment the coefficient buffer for the next set of state values */
+  coeff = *pCoeffs++;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if (readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 2U;
+
+  while (tapCnt > 0U)
+  {
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                         (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time. */
+    blkCnt = blockSize >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* Perform Multiply-Accumulate */
+      out = *pOut;
+      out += ((q63_t) *px++ * coeff) >> 32;
+      *pOut++ = (q31_t) (out);
+
+      out = *pOut;
+      out += ((q63_t) *px++ * coeff) >> 32;
+      *pOut++ = (q31_t) (out);
+
+      out = *pOut;
+      out += ((q63_t) *px++ * coeff) >> 32;
+      *pOut++ = (q31_t) (out);
+
+      out = *pOut;
+      out += ((q63_t) *px++ * coeff) >> 32;
+      *pOut++ = (q31_t) (out);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = blockSize % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* Perform Multiply-Accumulate */
+      out = *pOut;
+      out += ((q63_t) *px++ * coeff) >> 32;
+      *pOut++ = (q31_t) (out);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Load the coefficient value and
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if (readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Decrement tap loop counter */
+    tapCnt--;
+  }
+
+  /* Compute last tap without the final read of pTapDelay */
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1,
+                       (int32_t *) pb, (int32_t *) pb, blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pOut = pDst;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time. */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiply-Accumulate */
+    out = *pOut;
+    out += ((q63_t) * px++ * coeff) >> 32;
+    *pOut++ = (q31_t) (out);
+
+    out = *pOut;
+    out += ((q63_t) * px++ * coeff) >> 32;
+    *pOut++ = (q31_t) (out);
+
+    out = *pOut;
+    out += ((q63_t) * px++ * coeff) >> 32;
+    *pOut++ = (q31_t) (out);
+
+    out = *pOut;
+    out += ((q63_t) * px++ * coeff) >> 32;
+    *pOut++ = (q31_t) (out);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiply-Accumulate */
+    out = *pOut;
+    out += ((q63_t) *px++ * coeff) >> 32;
+    *pOut++ = (q31_t) (out);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Working output pointer is updated */
+  pOut = pDst;
+
+  /* Output is converted into 1.31 format. */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time. */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    in = *pOut << 1;
+    *pOut++ = in;
+    in = *pOut << 1;
+    *pOut++ = in;
+    in = *pOut << 1;
+    *pOut++ = in;
+    in = *pOut << 1;
+    *pOut++ = in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    in = *pOut << 1;
+    *pOut++ = in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of FIR_Sparse group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c
new file mode 100644
index 0000000..9e3de09
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c
@@ -0,0 +1,341 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fir_sparse_q7.c
+ * Description:  Q7 sparse FIR filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup FIR_Sparse
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q7 sparse FIR filter.
+  @param[in]     S           points to an instance of the Q7 sparse FIR structure
+  @param[in]     pSrc        points to the block of input data
+  @param[out]    pDst        points to the block of output data
+  @param[in]     pScratchIn  points to a temporary buffer of size blockSize
+  @param[in]     pScratchOut points to a temporary buffer of size blockSize
+  @param[in]     blockSize   number of input samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 32-bit internal accumulator.
+                   Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result.
+                   The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format.
+                   There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+                   The accumulator is then converted to 18.7 format by discarding the low 7 bits.
+                   Finally, the result is truncated to 1.7 format.
+ */
+
+void arm_fir_sparse_q7(
+        arm_fir_sparse_instance_q7 * S,
+  const q7_t * pSrc,
+        q7_t * pDst,
+        q7_t * pScratchIn,
+        q31_t * pScratchOut,
+        uint32_t blockSize)
+{
+        q7_t *pState = S->pState;                      /* State pointer */
+  const q7_t *pCoeffs = S->pCoeffs;                    /* Coefficient pointer */
+        q7_t *px;                                      /* Scratch buffer pointer */
+        q7_t *py = pState;                             /* Temporary pointers for state buffer */
+        q7_t *pb = pScratchIn;                         /* Temporary pointers for scratch buffer */
+        q7_t *pOut = pDst;                             /* Destination pointer */
+        int32_t *pTapDelay = S->pTapDelay;             /* Pointer to the array containing offset of the non-zero tap values. */
+        uint32_t delaySize = S->maxDelay + blockSize;  /* state length */
+        uint16_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter  */
+        int32_t readIndex;                             /* Read index of the state buffer */
+        uint32_t tapCnt, blkCnt;                       /* loop counters */
+        q31_t *pScr2 = pScratchOut;                    /* Working pointer for scratch buffer of output values */
+        q31_t in;
+        q7_t coeff = *pCoeffs++;                       /* Read the coefficient value */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q7_t in1, in2, in3, in4;
+#endif
+
+  /* BlockSize of Input samples are copied into the state buffer */
+  /* StateIndex points to the starting position to write in the state buffer */
+  arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1, blockSize);
+
+  /* Loop over the number of taps. */
+  tapCnt = numTaps;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if (readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1,
+                   pb, pb, (int32_t) blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time. */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Perform multiplication and store in the scratch buffer */
+    *pScratchOut++ = ((q31_t) *px++ * coeff);
+    *pScratchOut++ = ((q31_t) *px++ * coeff);
+    *pScratchOut++ = ((q31_t) *px++ * coeff);
+    *pScratchOut++ = ((q31_t) *px++ * coeff);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiplication and store in the scratch buffer */
+    *pScratchOut++ = ((q31_t) *px++ * coeff);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Load the coefficient value and
+   * increment the coefficient buffer for the next set of state values */
+  coeff = *pCoeffs++;
+
+  /* Read Index, from where the state buffer should be read, is calculated. */
+  readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+  /* Wraparound of readIndex */
+  if (readIndex < 0)
+  {
+    readIndex += (int32_t) delaySize;
+  }
+
+  /* Loop over the number of taps. */
+  tapCnt = (uint32_t) numTaps - 2U;
+
+  while (tapCnt > 0U)
+  {
+    /* Working pointer for state buffer is updated */
+    py = pState;
+
+    /* blockSize samples are read from the state buffer */
+    arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1,
+                        pb, pb, (int32_t) blockSize, 1, blockSize);
+
+    /* Working pointer for the scratch buffer of state values */
+    px = pb;
+
+    /* Working pointer for scratch buffer of output values */
+    pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time. */
+    blkCnt = blockSize >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* Perform Multiply-Accumulate */
+      in = *pScratchOut + ((q31_t) * px++ * coeff);
+      *pScratchOut++ = in;
+      in = *pScratchOut + ((q31_t) * px++ * coeff);
+      *pScratchOut++ = in;
+      in = *pScratchOut + ((q31_t) * px++ * coeff);
+      *pScratchOut++ = in;
+      in = *pScratchOut + ((q31_t) * px++ * coeff);
+      *pScratchOut++ = in;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = blockSize % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* Perform Multiply-Accumulate */
+      in = *pScratchOut + ((q31_t) *px++ * coeff);
+      *pScratchOut++ = in;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Load the coefficient value and
+     * increment the coefficient buffer for the next set of state values */
+    coeff = *pCoeffs++;
+
+    /* Read Index, from where the state buffer should be read, is calculated. */
+    readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++;
+
+    /* Wraparound of readIndex */
+    if (readIndex < 0)
+    {
+      readIndex += (int32_t) delaySize;
+    }
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Compute last tap without the final read of pTapDelay */
+
+  /* Working pointer for state buffer is updated */
+  py = pState;
+
+  /* blockSize samples are read from the state buffer */
+  arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1,
+                      pb, pb, (int32_t) blockSize, 1, blockSize);
+
+  /* Working pointer for the scratch buffer of state values */
+  px = pb;
+
+  /* Working pointer for scratch buffer of output values */
+  pScratchOut = pScr2;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time. */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiply-Accumulate */
+    in = *pScratchOut + ((q31_t) *px++ * coeff);
+    *pScratchOut++ = in;
+    in = *pScratchOut + ((q31_t) *px++ * coeff);
+    *pScratchOut++ = in;
+    in = *pScratchOut + ((q31_t) *px++ * coeff);
+    *pScratchOut++ = in;
+    in = *pScratchOut + ((q31_t) *px++ * coeff);
+    *pScratchOut++ = in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Perform Multiply-Accumulate */
+    in = *pScratchOut + ((q31_t) *px++ * coeff);
+    *pScratchOut++ = in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* All the output values are in pScratchOut buffer.
+     Convert them into 1.15 format, saturate and store in the destination buffer. */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time. */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    in1 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+    in2 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+    in3 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+    in4 = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+
+    write_q7x4_ia (&pOut, __PACKq7(in1, in2, in3, in4));
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of FIR_Sparse group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c
new file mode 100644
index 0000000..cc8bff6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c
@@ -0,0 +1,354 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_iir_lattice_f32.c
+ * Description:  Floating-point IIR Lattice filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @defgroup IIR_Lattice Infinite Impulse Response (IIR) Lattice Filters
+
+  This set of functions implements lattice filters
+  for Q15, Q31 and floating-point data types.  Lattice filters are used in a
+  variety of adaptive filter applications. The filter structure has feedforward and
+  feedback components and the net impulse response is infinite length.
+  The functions operate on blocks
+  of input and output data and each call to the function processes
+  <code>blockSize</code> samples through the filter.  <code>pSrc</code> and
+  <code>pDst</code> point to input and output arrays containing <code>blockSize</code> values.
+
+  @par           Algorithm
+                   \image html IIRLattice.gif "Infinite Impulse Response Lattice filter"
+  @par
+  <pre>
+      fN(n)   = x(n)
+      fm-1(n) = fm(n) - km * gm-1(n-1)   for m = N, N-1, ..., 1
+      gm(n)   = km * fm-1(n) + gm-1(n-1) for m = N, N-1, ..., 1
+      y(n)    = vN * gN(n) + vN-1 * gN-1(n) + ...+ v0 * g0(n)
+  </pre>
+  @par
+                   <code>pkCoeffs</code> points to array of reflection coefficients of size <code>numStages</code>.
+                   Reflection Coefficients are stored in time-reversed order.
+  @par
+  <pre>
+     {kN, kN-1, ..., k1}
+  </pre>
+  @par
+                  <code>pvCoeffs</code> points to the array of ladder coefficients of size <code>(numStages+1)</code>.
+                  Ladder coefficients are stored in time-reversed order.
+  <pre>
+      {vN, vN-1, ..., v0}
+  </pre>
+  @par
+                   <code>pState</code> points to a state array of size <code>numStages + blockSize</code>.
+                   The state variables shown in the figure above (the g values) are stored in the <code>pState</code> array.
+                   The state variables are updated after each block of data is processed; the coefficients are untouched.
+
+  @par           Instance Structure
+                   The coefficients and state variables for a filter are stored together in an instance data structure.
+                   A separate instance structure must be defined for each filter.
+                   Coefficient arrays may be shared among several instances while state variable arrays cannot be shared.
+                   There are separate instance structure declarations for each of the 3 supported data types.
+
+  @par           Initialization Functions
+                   There is also an associated initialization function for each data type.
+                   The initialization function performs the following operations:
+                   - Sets the values of the internal structure fields.
+                   - Zeros out the values in the state buffer.
+                   To do this manually without calling the init function, assign the follow subfields of the instance structure:
+                   numStages, pkCoeffs, pvCoeffs, pState. Also set all of the values in pState to zero.
+  @par
+                   Use of the initialization function is optional.
+                   However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+                   To place an instance structure into a const data section, the instance structure must be manually initialized.
+                   Set the values in the state buffer to zeros and then manually initialize the instance structure as follows:
+  <pre>
+      arm_iir_lattice_instance_f32 S = {numStages, pState, pkCoeffs, pvCoeffs};
+      arm_iir_lattice_instance_q31 S = {numStages, pState, pkCoeffs, pvCoeffs};
+      arm_iir_lattice_instance_q15 S = {numStages, pState, pkCoeffs, pvCoeffs};
+  </pre>
+  @par
+                   where <code>numStages</code> is the number of stages in the filter; <code>pState</code> points to the state buffer array;
+                   <code>pkCoeffs</code> points to array of the reflection coefficients; <code>pvCoeffs</code> points to the array of ladder coefficients.
+
+  @par           Fixed-Point Behavior
+                   Care must be taken when using the fixed-point versions of the IIR lattice filter functions.
+                   In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+                   Refer to the function specific documentation below for usage guidelines.
+ */
+
+/**
+  @addtogroup IIR_Lattice
+  @{
+ */
+
+/**
+  @brief         Processing function for the floating-point IIR lattice filter.
+  @param[in]     S          points to an instance of the floating-point IIR lattice structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+ */
+
+void arm_iir_lattice_f32(
+  const arm_iir_lattice_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{       
+        float32_t *pState = S->pState;                   /* State pointer */
+        float32_t *pStateCur;                            /* State current pointer */
+        float32_t acc;                                   /* Accumlator */
+        float32_t fnext1, fnext2, gcurr1, gnext;         /* Temporary variables for lattice stages */
+        float32_t *px1, *px2, *pk, *pv;                  /* Temporary pointers for state and coef */
+        uint32_t numStages = S->numStages;               /* Number of stages */
+        uint32_t blkCnt, tapCnt;                         /* Temporary variables for counts */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        float32_t gcurr2;                                /* Temporary variables for lattice stages */
+        float32_t k1, k2;
+        float32_t v1, v2, v3, v4;
+#endif
+
+  /* initialise loop count */
+  blkCnt = blockSize;
+
+  /* Sample processing */
+  while (blkCnt > 0U)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fnext2 = *pSrc++;
+
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+    /* Initialize state read pointer */
+    px1 = pState;
+
+    /* Initialize state write pointer */
+    px2 = pState;
+
+    /* Set accumulator to zero */
+    acc = 0.0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = (numStages) >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Read gN-1(n-1) from state buffer */
+      gcurr1 = *px1;
+
+      /* read reflection coefficient kN */
+      k1 = *pk;
+
+      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+      fnext1 = fnext2 - (k1 * gcurr1);
+
+      /* read ladder coefficient vN */
+      v1 = *pv;
+
+      /* read next reflection coefficient kN-1 */
+      k2 = *(pk + 1U);
+
+      /* Read gN-2(n-1) from state buffer */
+      gcurr2 = *(px1 + 1U);
+
+      /* read next ladder coefficient vN-1 */
+      v2 = *(pv + 1U);
+
+      /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
+      fnext2 = fnext1 - (k2 * gcurr2);
+
+      /* gN(n)   = kN * fN-1(n) + gN-1(n-1) */
+      gnext = gcurr1 + (k1 * fnext1);
+
+      /* read reflection coefficient kN-2 */
+      k1 = *(pk + 2U);
+
+      /* write gN(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* Read gN-3(n-1) from state buffer */
+      gcurr1 = *(px1 + 2U);
+
+      /* y(n) += gN(n) * vN  */
+      acc += (gnext * v1);
+
+      /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
+      fnext1 = fnext2 - (k1 * gcurr1);
+
+      /* gN-1(n)   = kN-1 * fN-2(n) + gN-2(n-1) */
+      gnext = gcurr2 + (k2 * fnext2);
+
+      /* Read gN-4(n-1) from state buffer */
+      gcurr2 = *(px1 + 3U);
+
+      /* y(n) += gN-1(n) * vN-1  */
+      acc += (gnext * v2);
+
+      /* read reflection coefficient kN-3 */
+      k2 = *(pk + 3U);
+
+      /* write gN-1(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
+      fnext2 = fnext1 - (k2 * gcurr2);
+
+      /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
+      gnext = gcurr1 + (k1 * fnext1);
+
+      /* read ladder coefficient vN-2 */
+      v3 = *(pv + 2U);
+
+      /* y(n) += gN-2(n) * vN-2  */
+      acc += (gnext * v3);
+
+      /* write gN-2(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* update pointer */
+      pk += 4U;
+
+      /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */
+      gnext = (fnext2 * k2) + gcurr2;
+
+      /* read next ladder coefficient vN-3 */
+      v4 = *(pv + 3U);
+
+      /* y(n) += gN-4(n) * vN-4  */
+      acc += (gnext * v4);
+
+      /* write gN-3(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* update pointers */
+      px1 += 4U;
+      pv += 4U;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numStages % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numStages;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      gcurr1 = *px1++;
+      /* Process sample for last taps */
+      fnext1 = fnext2 - ((*pk) * gcurr1);
+      gnext = (fnext1 * (*pk++)) + gcurr1;
+      /* Output samples for last taps */
+      acc += (gnext * (*pv++));
+      *px2++ = gnext;
+      fnext2 = fnext1;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += (fnext2 * (*pv));
+
+    *px2++ = fnext2;
+
+    /* write out into pDst */
+    *pDst++ = acc;
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+     for the preperation of next frame process */
+
+  /* Points to the start of the state buffer */
+  pStateCur = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  /* Copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time. */
+  tapCnt = numStages >> 2U;
+
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining taps */
+  tapCnt = numStages % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  tapCnt = numStages;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+
+/**
+  @} end of IIR_Lattice group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
new file mode 100644
index 0000000..459ed92
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
@@ -0,0 +1,77 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_iir_lattice_init_f32.c
+ * Description:  Floating-point IIR lattice filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup IIR_Lattice
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point IIR lattice filter.
+  @param[in]     S          points to an instance of the floating-point IIR lattice structure
+  @param[in]     numStages  number of stages in the filter
+  @param[in]     pkCoeffs   points to reflection coefficient buffer.  The array is of length numStages
+  @param[in]     pvCoeffs   points to ladder coefficient buffer.  The array is of length numStages+1
+  @param[in]     pState     points to state buffer.  The array is of length numStages+blockSize
+  @param[in]     blockSize  number of samples to process
+  @return        none
+ */
+
+void arm_iir_lattice_init_f32(
+  arm_iir_lattice_instance_f32 * S,
+  uint16_t numStages,
+  float32_t * pkCoeffs,
+  float32_t * pvCoeffs,
+  float32_t * pState,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numStages = numStages;
+
+  /* Assign reflection coefficient pointer */
+  S->pkCoeffs = pkCoeffs;
+
+  /* Assign ladder coefficient pointer */
+  S->pvCoeffs = pvCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numStages */
+  memset(pState, 0, (numStages + blockSize) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of IIR_Lattice group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
new file mode 100644
index 0000000..1e16932
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
@@ -0,0 +1,77 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_iir_lattice_init_q15.c
+ * Description:  Q15 IIR lattice filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup IIR_Lattice
+  @{
+ */
+
+/**
+  @brief     Initialization function for the Q15 IIR lattice filter.
+  @param[in] S          points to an instance of the Q15 IIR lattice structure
+  @param[in] numStages  number of stages in the filter
+  @param[in] pkCoeffs   points to reflection coefficient buffer.  The array is of length numStages
+  @param[in] pvCoeffs   points to ladder coefficient buffer.  The array is of length numStages+1
+  @param[in] pState     points to state buffer.  The array is of length numStages+blockSize
+  @param[in] blockSize  number of samples to process
+  @return        none
+ */
+
+void arm_iir_lattice_init_q15(
+  arm_iir_lattice_instance_q15 * S,
+  uint16_t numStages,
+  q15_t * pkCoeffs,
+  q15_t * pvCoeffs,
+  q15_t * pState,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numStages = numStages;
+
+  /* Assign reflection coefficient pointer */
+  S->pkCoeffs = pkCoeffs;
+
+  /* Assign ladder coefficient pointer */
+  S->pvCoeffs = pvCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numStages */
+  memset(pState, 0, (numStages + blockSize) * sizeof(q15_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of IIR_Lattice group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
new file mode 100644
index 0000000..a1efae0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
@@ -0,0 +1,77 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_iir_lattice_init_q31.c
+ * Description:  Initialization function for the Q31 IIR lattice filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup IIR_Lattice
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q31 IIR lattice filter.
+  @param[in]     S          points to an instance of the Q31 IIR lattice structure
+  @param[in]     numStages  number of stages in the filter
+  @param[in]     pkCoeffs   points to reflection coefficient buffer.  The array is of length numStages
+  @param[in]     pvCoeffs   points to ladder coefficient buffer.  The array is of length numStages+1
+  @param[in]     pState     points to state buffer.  The array is of length numStages+blockSize
+  @param[in]     blockSize  number of samples to process
+  @return        none
+ */
+
+void arm_iir_lattice_init_q31(
+  arm_iir_lattice_instance_q31 * S,
+  uint16_t numStages,
+  q31_t * pkCoeffs,
+  q31_t * pvCoeffs,
+  q31_t * pState,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numStages = numStages;
+
+  /* Assign reflection coefficient pointer */
+  S->pkCoeffs = pkCoeffs;
+
+  /* Assign ladder coefficient pointer */
+  S->pvCoeffs = pvCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numStages */
+  memset(pState, 0, (numStages + blockSize) * sizeof(q31_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+}
+
+/**
+  @} end of IIR_Lattice group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c
new file mode 100644
index 0000000..2651dd5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c
@@ -0,0 +1,396 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_iir_lattice_q15.c
+ * Description:  Q15 IIR Lattice filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup IIR_Lattice
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q15 IIR lattice filter.
+  @param[in]     S          points to an instance of the Q15 IIR lattice structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+                   The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+                   There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+                   After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+                   Lastly, the accumulator is saturated to yield a result in 1.15 format.
+ */
+
+void arm_iir_lattice_q15(
+  const arm_iir_lattice_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+        q15_t *pStateCur;                              /* State current pointer */
+        q31_t fcurr, fnext = 0, gcurr = 0, gnext;      /* Temporary variables for lattice stages */
+        q63_t acc;                                     /* Accumlator */
+        q15_t *px1, *px2, *pk, *pv;                    /* Temporary pointers for state and coef */
+        uint32_t numStages = S->numStages;             /* Number of stages */
+        uint32_t blkCnt, tapCnt;                       /* Temporary variables for counts */
+        q15_t out;                                     /* Temporary variable for output */
+
+#if defined (ARM_MATH_DSP) && defined (ARM_MATH_LOOPUNROLL)
+        q15_t gnext1, gnext2;                          /* Temporary variables for lattice stages */
+        q31_t v;                                       /* Temporary variable for ladder coefficient */
+#endif
+
+  /* initialise loop count */
+  blkCnt = blockSize;
+
+#if defined (ARM_MATH_DSP)
+
+  /* Sample processing */
+  while (blkCnt > 0U)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+    /* Initialize state read pointer */
+    px1 = pState;
+
+    /* Initialize state write pointer */
+    px2 = pState;
+
+    /* Set accumulator to zero */
+    acc = 0;
+
+    /* Process sample for first tap */
+    gcurr = *px1++;
+    /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+    fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+    fnext = __SSAT(fnext, 16);
+
+    /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+    gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+    gnext = __SSAT(gnext, 16);
+
+    /* write gN(n) into state for next sample processing */
+    *px2++ = (q15_t) gnext;
+
+    /* y(n) += gN(n) * vN */
+    acc += (q31_t) ((gnext * (*pv++)));
+
+    /* Update f values for next coefficient processing */
+    fcurr = fnext;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = (numStages - 1U) >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Process sample for 2nd, 6th ...taps */
+      /* Read gN-2(n-1) from state buffer */
+      gcurr = *px1++;
+      /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
+      fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+      fnext = __SSAT(fnext, 16);
+      /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
+      gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+      gnext1 = (q15_t) __SSAT(gnext, 16);
+      /* write gN-1(n) into state for next sample processing */
+      *px2++ = (q15_t) gnext1;
+
+      /* Process sample for 3nd, 7th ...taps */
+      /* Read gN-3(n-1) from state buffer */
+      gcurr = *px1++;
+      /* Process sample for 3rd, 7th .. taps */
+      /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
+      fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15);
+      fcurr = __SSAT(fcurr, 16);
+      /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
+      gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr;
+      gnext2 = (q15_t) __SSAT(gnext, 16);
+      /* write gN-2(n) into state */
+      *px2++ = (q15_t) gnext2;
+
+      /* Read vN-1 and vN-2 at a time */
+      v = read_q15x2_ia (&pv);
+
+      /* Pack gN-1(n) and gN-2(n) */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+      gnext = __PKHBT(gnext1, gnext2, 16);
+#else
+      gnext = __PKHBT(gnext2, gnext1, 16);
+#endif /* #ifndef  ARM_MATH_BIG_ENDIAN */
+
+      /* y(n) += gN-1(n) * vN-1  */
+      /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */
+      /* y(n) += gN-2(n) * vN-2  */
+      /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */
+      acc = __SMLALD(gnext, v, acc);
+
+      /* Process sample for 4th, 8th ...taps */
+      /* Read gN-4(n-1) from state buffer */
+      gcurr = *px1++;
+      /* Process sample for 4th, 8th .. taps */
+      /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
+      fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+      fnext = __SSAT(fnext, 16);
+      /* gN-3(n) = kN-3 * fN-1(n) + gN-1(n-1) */
+      gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+      gnext1 = (q15_t) __SSAT(gnext, 16);
+      /* write  gN-3(n) for the next sample process */
+      *px2++ = (q15_t) gnext1;
+
+      /* Process sample for 5th, 9th ...taps */
+      /* Read gN-5(n-1) from state buffer */
+      gcurr = *px1++;
+      /* Process sample for 5th, 9th .. taps */
+      /* fN-5(n) = fN-4(n) - kN-4 * gN-5(n-1) */
+      fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15);
+      fcurr = __SSAT(fcurr, 16);
+      /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */
+      gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr;
+      gnext2 = (q15_t) __SSAT(gnext, 16);
+      /* write      gN-4(n) for the next sample process */
+      *px2++ = (q15_t) gnext2;
+
+      /* Read vN-3 and vN-4 at a time */
+      v = read_q15x2_ia (&pv);
+
+      /* Pack gN-3(n) and gN-4(n) */
+#ifndef ARM_MATH_BIG_ENDIAN
+      gnext = __PKHBT(gnext1, gnext2, 16);
+#else
+      gnext = __PKHBT(gnext2, gnext1, 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+      /* y(n) += gN-4(n) * vN-4  */
+      /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */
+      /* y(n) += gN-3(n) * vN-3  */
+      /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */
+      acc = __SMLALD(gnext, v, acc);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    fnext = fcurr;
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = (numStages - 1U) % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    tapCnt = (numStages - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      gcurr = *px1++;
+      /* Process sample for last taps */
+      fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15);
+      fnext = __SSAT(fnext, 16);
+      gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr;
+      gnext = __SSAT(gnext, 16);
+
+      /* Output samples for last taps */
+      acc += (q31_t) (((q31_t) gnext * (*pv++)));
+      *px2++ = (q15_t) gnext;
+      fcurr = fnext;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += (q31_t) (((q31_t) fnext * (*pv++)));
+
+    out = (q15_t) __SSAT(acc >> 15, 16);
+    *px2++ = (q15_t) fnext;
+
+    /* write out into pDst */
+    *pDst++ = out;
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+     for the preperation of next frame process */
+
+  /* Points to the start of the state buffer */
+  pStateCur = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time. */
+  tapCnt = numStages >> 2U;
+
+  while (tapCnt > 0U)
+  {
+    write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+    write_q15x2_ia (&pStateCur, read_q15x2_ia (&pState));
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining taps */
+  tapCnt = numStages % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  tapCnt = (numStages - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+  /* Sample processing */
+  while (blkCnt > 0U)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+    /* Initialize state read pointer */
+    px1 = pState;
+
+    /* Initialize state write pointer */
+    px2 = pState;
+
+    /* Set accumulator to zero */
+    acc = 0;
+
+    tapCnt = numStages;
+
+    while (tapCnt > 0U)
+    {
+      gcurr = *px1++;
+      /* Process sample */
+      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+      fnext = fcurr - ((gcurr * (*pk)) >> 15);
+      fnext = __SSAT(fnext, 16);
+
+      /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+      gnext = ((fnext * (*pk++)) >> 15) + gcurr;
+      gnext = __SSAT(gnext, 16);
+
+      /* Output samples */
+      /* y(n) += gN(n) * vN */
+      acc += (q31_t) ((gnext * (*pv++)));
+
+      /* write gN(n) into state for next sample processing */
+      *px2++ = (q15_t) gnext;
+
+      /* Update f values for next coefficient processing */
+      fcurr = fnext;
+
+      tapCnt--;
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += (q31_t) ((fnext * (*pv++)));
+
+    out = (q15_t) __SSAT(acc >> 15, 16);
+    *px2++ = (q15_t) fnext;
+
+    /* write out into pDst */
+    *pDst++ = out;
+
+    /* Advance the state pointer by 1 to process the next group of samples */
+    pState = pState + 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+     for the preperation of next frame process */
+
+  /* Points to the start of the state buffer */
+  pStateCur = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  tapCnt = numStages;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+  @} end of IIR_Lattice group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c
new file mode 100644
index 0000000..d0348fe
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c
@@ -0,0 +1,356 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_iir_lattice_q31.c
+ * Description:  Q31 IIR Lattice filter processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup IIR_Lattice
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 IIR lattice filter.
+  @param[in]     S          points to an instance of the Q31 IIR lattice structure
+  @param[in]     pSrc       points to the block of input data
+  @param[out]    pDst       points to the block of output data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+                   Thus, if the accumulator result overflows it wraps around rather than clip.
+                   In order to avoid overflows completely the input signal must be scaled down by 2*log2(numStages) bits.
+                   After all multiply-accumulates are performed, the 2.62 accumulator is saturated to 1.32 format and then truncated to 1.31 format.
+ */
+
+void arm_iir_lattice_q31(
+  const arm_iir_lattice_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{       
+        q31_t *pState = S->pState;                       /* State pointer */
+        q31_t *pStateCur;                                /* State current pointer */
+        q31_t fcurr, fnext = 0, gcurr = 0, gnext;        /* Temporary variables for lattice stages */
+        q63_t acc;                                       /* Accumlator */
+        q31_t *px1, *px2, *pk, *pv;                      /* Temporary pointers for state and coef */
+        uint32_t numStages = S->numStages;               /* Number of stages */
+        uint32_t blkCnt, tapCnt;                         /* Temporary variables for counts */
+
+
+  /* initialise loop count */
+  blkCnt = blockSize;
+
+#if defined (ARM_MATH_DSP)
+
+  /* Sample processing */
+  while (blkCnt > 0U)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+    /* Initialize state read pointer */
+    px1 = pState;
+
+    /* Initialize state write pointer */
+    px2 = pState;
+
+    /* Set accumulator to zero */
+    acc = 0;
+
+    /* Process sample for first tap */
+    gcurr = *px1++;
+    /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+    fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk  )) >> 31));
+
+    /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+    gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+
+    /* write gN-1(n-1) into state for next sample processing */
+    *px2++ = gnext;
+
+    /* y(n) += gN(n) * vN */
+    acc += ((q63_t) gnext * *pv++);
+
+    /* Update f values for next coefficient processing */
+    fcurr = fnext;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = (numStages - 1U) >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Process sample for 2nd, 6th ...taps */
+      /* Read gN-2(n-1) from state buffer */
+      gcurr = *px1++;
+      /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */
+      fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk  )) >> 31));
+      /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */
+      gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+      /* y(n) += gN-1(n) * vN-1  */
+      /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */
+      acc += ((q63_t) gnext * *pv++);
+      /* write gN-1(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* Process sample for 3nd, 7th ...taps */
+      /* Read gN-3(n-1) from state buffer */
+      gcurr = *px1++;
+      /* Process sample for 3rd, 7th .. taps */
+      /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */
+      fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk  )) >> 31));
+      /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */
+      gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31));
+      /* y(n) += gN-2(n) * vN-2  */
+      /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */
+      acc += ((q63_t) gnext * *pv++);
+      /* write gN-2(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* Process sample for 4th, 8th ...taps */
+      /* Read gN-4(n-1) from state buffer */
+      gcurr = *px1++;
+      /* Process sample for 4th, 8th .. taps */
+      /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */
+      fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk  )) >> 31));
+      /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */
+      gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+      /* y(n) += gN-3(n) * vN-3  */
+      /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */
+      acc += ((q63_t) gnext * *pv++);
+      /* write gN-3(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* Process sample for 5th, 9th ...taps */
+      /* Read gN-5(n-1) from state buffer */
+      gcurr = *px1++;
+      /* Process sample for 5th, 9th .. taps */
+      /* fN-5(n) = fN-4(n) - kN-4 * gN-1(n-1) */
+      fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk  )) >> 31));
+      /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */
+      gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31));
+      /* y(n) += gN-4(n) * vN-4  */
+      /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */
+      acc += ((q63_t) gnext * *pv++);
+
+      /* write gN-4(n) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    fnext = fcurr;
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = (numStages - 1U) % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    tapCnt = (numStages - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      gcurr = *px1++;
+      /* Process sample for last taps */
+      fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk  )) >> 31));
+      gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31));
+
+      /* Output samples for last taps */
+      acc += ((q63_t) gnext * *pv++);
+      *px2++ = gnext;
+      fcurr = fnext;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += ((q63_t) fnext * *pv++);
+
+    *px2++ = fnext;
+
+    /* write out into pDst */
+    *pDst++ = (q31_t) (acc >> 31U);
+
+    /* Advance the state pointer by 4 to process the next group of 4 samples */
+    pState = pState + 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+     for the preperation of next frame process */
+
+  /* Points to the start of the state buffer */
+  pStateCur = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  /* Copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time. */
+  tapCnt = numStages >> 2U;
+
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining taps */
+  tapCnt = numStages % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  tapCnt = (numStages - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+  /* Sample processing */
+  while (blkCnt > 0U)
+  {
+    /* Read Sample from input buffer */
+    /* fN(n) = x(n) */
+    fcurr = *pSrc++;
+
+    /* Initialize Ladder coeff pointer */
+    pv = &S->pvCoeffs[0];
+
+    /* Initialize Reflection coeff pointer */
+    pk = &S->pkCoeffs[0];
+
+    /* Initialize state read pointer */
+    px1 = pState;
+
+    /* Initialize state write pointer */
+    px2 = pState;
+
+    /* Set accumulator to zero */
+    acc = 0;
+
+    tapCnt = numStages;
+
+    while (tapCnt > 0U)
+    {
+      gcurr = *px1++;
+      /* Process sample */
+      /* fN-1(n) = fN(n) - kN * gN-1(n-1) */
+      fnext = clip_q63_to_q31(((q63_t) fcurr - ((q31_t) (((q63_t) gcurr * (*pk  )) >> 31))));
+
+      /* gN(n) = kN * fN-1(n) + gN-1(n-1) */
+      gnext = clip_q63_to_q31(((q63_t) gcurr + ((q31_t) (((q63_t) fnext * (*pk++)) >> 31))));
+
+      /* Output samples */
+      /* y(n) += gN(n) * vN */
+      acc += ((q63_t) gnext * *pv++);
+
+      /* write gN-1(n-1) into state for next sample processing */
+      *px2++ = gnext;
+
+      /* Update f values for next coefficient processing */
+      fcurr = fnext;
+
+      tapCnt--;
+    }
+
+    /* y(n) += g0(n) * v0 */
+    acc += ((q63_t) fnext * *pv++);
+
+    *px2++ = fnext;
+
+    /* write out into pDst */
+    *pDst++ = (q31_t) (acc >> 31U);
+
+    /* Advance the state pointer by 1 to process the next group of samples */
+    pState = pState + 1U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete. Now copy last S->numStages samples to start of the buffer
+     for the preperation of next frame process */
+
+  /* Points to the start of the state buffer */
+  pStateCur = &S->pState[0];
+  pState = &S->pState[blockSize];
+
+  tapCnt = numStages;
+
+  /* Copy data */
+  while (tapCnt > 0U)
+  {
+    *pStateCur++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+  @} end of IIR_Lattice group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c
new file mode 100644
index 0000000..edcb8e3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c
@@ -0,0 +1,533 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_lms_f32.c
+ * Description:  Processing function for the floating-point LMS filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @defgroup LMS Least Mean Square (LMS) Filters
+
+  LMS filters are a class of adaptive filters that are able to "learn" an unknown transfer functions.
+  LMS filters use a gradient descent method in which the filter coefficients are updated based on the instantaneous error signal.
+  Adaptive filters are often used in communication systems, equalizers, and noise removal.
+  The CMSIS DSP Library contains LMS filter functions that operate on Q15, Q31, and floating-point data types.
+  The library also contains normalized LMS filters in which the filter coefficient adaptation is indepedent of the level of the input signal.
+
+  An LMS filter consists of two components as shown below.
+  The first component is a standard transversal or FIR filter.
+  The second component is a coefficient update mechanism.
+  The LMS filter has two input signals.
+  The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter.
+  That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input.
+  The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input.
+  This "error signal" tends towards zero as the filter adapts.
+  The LMS processing functions accept the input and reference input signals and generate the filter output and error signal.
+  \image html LMS.gif "Internal structure of the Least Mean Square filter"
+
+  The functions operate on blocks of data and each call to the function processes
+  <code>blockSize</code> samples through the filter.
+  <code>pSrc</code> points to input signal, <code>pRef</code> points to reference signal,
+  <code>pOut</code> points to output signal and <code>pErr</code> points to error signal.
+  All arrays contain <code>blockSize</code> values.
+
+  The functions operate on a block-by-block basis.
+  Internally, the filter coefficients <code>b[n]</code> are updated on a sample-by-sample basis.
+  The convergence of the LMS filter is slower compared to the normalized LMS algorithm.
+
+  @par           Algorithm
+                   The output signal <code>y[n]</code> is computed by a standard FIR filter:
+  <pre>
+      y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]
+  </pre>
+
+  @par
+                   The error signal equals the difference between the reference signal <code>d[n]</code> and the filter output:
+  <pre>
+      e[n] = d[n] - y[n].
+  </pre>
+
+  @par
+                   After each sample of the error signal is computed, the filter coefficients <code>b[k]</code> are updated on a sample-by-sample basis:
+  <pre>
+      b[k] = b[k] + e[n] * mu * x[n-k],  for k=0, 1, ..., numTaps-1
+  </pre>
+                   where <code>mu</code> is the step size and controls the rate of coefficient convergence.
+  @par
+                   In the APIs, <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>.
+                   Coefficients are stored in time reversed order.
+  @par
+  <pre>
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+  @par
+                   <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>.
+                   Samples in the state buffer are stored in the order:
+  @par
+  <pre>
+     {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+  </pre>
+  @par
+                   Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code> samples.
+                   The increased state buffer length allows circular addressing, which is traditionally used in FIR filters,
+                   to be avoided and yields a significant speed improvement.
+                   The state variables are updated after each block of data is processed.
+  @par           Instance Structure
+                   The coefficients and state variables for a filter are stored together in an instance data structure.
+                   A separate instance structure must be defined for each filter and
+                   coefficient and state arrays cannot be shared among instances.
+                   There are separate instance structure declarations for each of the 3 supported data types.
+
+  @par           Initialization Functions
+                   There is also an associated initialization function for each data type.
+                   The initialization function performs the following operations:
+                   - Sets the values of the internal structure fields.
+                   - Zeros out the values in the state buffer.
+                   To do this manually without calling the init function, assign the follow subfields of the instance structure:
+                   numTaps, pCoeffs, mu, postShift (not for f32), pState. Also set all of the values in pState to zero.
+
+  @par
+                 Use of the initialization function is optional.
+                 However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+                 To place an instance structure into a const data section, the instance structure must be manually initialized.
+                 Set the values in the state buffer to zeros before static initialization.
+                 The code below statically initializes each of the 3 different data type filter instance structures
+  <pre>
+     arm_lms_instance_f32 S = {numTaps, pState, pCoeffs, mu};
+     arm_lms_instance_q31 S = {numTaps, pState, pCoeffs, mu, postShift};
+     arm_lms_instance_q15 S = {numTaps, pState, pCoeffs, mu, postShift};
+  </pre>
+                 where <code>numTaps</code> is the number of filter coefficients in the filter; <code>pState</code> is the address of the state buffer;
+                 <code>pCoeffs</code> is the address of the coefficient buffer; <code>mu</code> is the step size parameter; and <code>postShift</code> is the shift applied to coefficients.
+
+  @par           Fixed-Point Behavior
+                   Care must be taken when using the Q15 and Q31 versions of the LMS filter.
+                   The following issues must be considered:
+                   - Scaling of coefficients
+                   - Overflow and saturation
+
+  @par           Scaling of Coefficients
+                   Filter coefficients are represented as fractional values and
+                   coefficients are restricted to lie in the range <code>[-1 +1)</code>.
+                   The fixed-point functions have an additional scaling parameter <code>postShift</code>.
+                   At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits.
+                   This essentially scales the filter coefficients by <code>2^postShift</code> and
+                   allows the filter coefficients to exceed the range <code>[+1 -1)</code>.
+                   The value of <code>postShift</code> is set by the user based on the expected gain through the system being modeled.
+
+  @par           Overflow and Saturation
+                   Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are
+                   described separately as part of the function specific documentation below.
+ */
+
+/**
+  @addtogroup LMS
+  @{
+ */
+
+/**
+  @brief         Processing function for floating-point LMS filter.
+  @param[in]     S          points to an instance of the floating-point LMS filter structure
+  @param[in]     pSrc       points to the block of input data
+  @param[in]     pRef       points to the block of reference data
+  @param[out]    pOut       points to the block of output data
+  @param[out]    pErr       points to the block of error data
+  @param[in]     blockSize  number of samples to process
+  @return        none
+ */
+#if defined(ARM_MATH_NEON)
+void arm_lms_f32(
+  const arm_lms_instance_f32 * S,
+  const float32_t * pSrc,
+  float32_t * pRef,
+  float32_t * pOut,
+  float32_t * pErr,
+  uint32_t blockSize)
+{
+  float32_t *pState = S->pState;                 /* State pointer */
+  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
+  float32_t mu = S->mu;                          /* Adaptive factor */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+  float32_t sum, e, d;                           /* accumulator, error, reference data sample */
+  float32_t w = 0.0f;                            /* weight factor */
+
+  float32x4_t tempV, sumV, xV, bV;
+  float32x2_t tempV2;
+
+  e = 0.0f;
+  d = 0.0f;
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Set the accumulator to zero */
+    sum = 0.0f;
+    sumV = vdupq_n_f32(0.0);
+
+    /* Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      xV = vld1q_f32(px);
+      bV = vld1q_f32(pb);
+      sumV = vmlaq_f32(sumV, xV, bV);
+
+      px += 4; 
+      pb += 4;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+    tempV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
+    sum = tempV2[0] + tempV2[1];
+
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4U;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum += (*px++) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* The result in the accumulator, store in the destination buffer. */
+    *pOut++ = sum;
+
+    /* Compute and store error */
+    d = (float32_t) (*pRef++);
+    e = d - sum;
+    *pErr++ = e;
+
+    /* Calculation of Weighting factor for the updating filter coefficients */
+    w = e * mu;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Update filter coefficients */
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      xV = vld1q_f32(px);
+      bV = vld1q_f32(pb);
+      px += 4;
+      bV = vmlaq_n_f32(bV,xV,w);
+
+      vst1q_f32(pb,bV); 
+      pb += 4;
+
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4U;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      *pb = *pb + (w * (*px++));
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the
+     satrt of the state buffer. This prepares the state buffer for the
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* Process 4 taps at a time for (numTaps - 1U) samples copy */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  /* copy data */
+  while (tapCnt > 0U)
+  {
+    tempV = vld1q_f32(pState);
+    vst1q_f32(pStateCurnt,tempV); 
+    pState += 4;
+    pStateCurnt += 4;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+  /* Copy the remaining q31_t data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+
+}
+#else
+void arm_lms_f32(
+  const arm_lms_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pRef,
+        float32_t * pOut,
+        float32_t * pErr,
+        uint32_t blockSize)
+{       
+        float32_t *pState = S->pState;                 /* State pointer */
+        float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+        float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
+        float32_t mu = S->mu;                          /* Adaptive factor */
+        float32_t acc, e;                              /* Accumulator, error */
+        float32_t w;                                   /* Weight factor */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t tapCnt, blkCnt;                       /* Loop counters */
+
+  /* Initializations of error,  difference, Coefficient update */
+  e = 0.0f;
+  w = 0.0f;
+
+  /* S->pState points to state array which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+  /* initialise loop count */
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Set the accumulator to zero */
+    acc = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (*px++) * (*pb++);
+
+      acc += (*px++) * (*pb++);
+
+      acc += (*px++) * (*pb++);
+
+      acc += (*px++) * (*pb++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (*px++) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = acc;
+
+    /* Compute and store error */
+    e = (float32_t) *pRef++ - acc;
+    *pErr++ = e;
+
+    /* Calculation of Weighting factor for updating filter coefficients */
+    w = e * mu;
+
+    /* Initialize pState pointer */
+    /* Advance state pointer by 1 for the next sample */
+    px = pState++;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    /* Update filter coefficients */
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      *pb += w * (*px++);
+      pb++;
+
+      *pb += w * (*px++);
+      pb++;
+
+      *pb += w * (*px++);
+      pb++;
+
+      *pb += w * (*px++);
+      pb++;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      *pb += w * (*px++);
+      pb++;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the start of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time. */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining taps */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+  /* Initialize tapCnt with number of samples */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of LMS group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c
new file mode 100644
index 0000000..d1618e0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c
@@ -0,0 +1,81 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_lms_init_f32.c
+ * Description:  Floating-point LMS filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @addtogroup LMS
+  @{
+ */
+
+/**
+  @brief         Initialization function for floating-point LMS filter.
+  @param[in]     S          points to an instance of the floating-point LMS filter structure
+  @param[in]     numTaps    number of filter coefficients
+  @param[in]     pCoeffs    points to coefficient buffer
+  @param[in]     pState     points to state buffer
+  @param[in]     mu         step size that controls filter coefficient updates
+  @param[in]     blockSize  number of samples to process
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+                   The initial filter coefficients serve as a starting point for the adaptive filter.
+                   <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_lms_f32()</code>.
+ */
+
+void arm_lms_init_f32(
+  arm_lms_instance_f32 * S,
+  uint16_t numTaps,
+  float32_t * pCoeffs,
+  float32_t * pState,
+  float32_t mu,
+  uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numTaps */
+  memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  /* Assign Step size value */
+  S->mu = mu;
+}
+
+/**
+  @} end of LMS group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c
new file mode 100644
index 0000000..56c361b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_lms_init_q15.c
+ * Description:  Q15 LMS filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup LMS
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q15 LMS filter.
+  @param[in]     S          points to an instance of the Q15 LMS filter structure.
+  @param[in]     numTaps    number of filter coefficients.
+  @param[in]     pCoeffs    points to coefficient buffer.
+  @param[in]     pState     points to state buffer.
+  @param[in]     mu         step size that controls filter coefficient updates.
+  @param[in]     blockSize  number of samples to process.
+  @param[in]     postShift  bit shift applied to coefficients.
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+                   The initial filter coefficients serve as a starting point for the adaptive filter.
+                   <code>pState</code> points to the array of state variables and size of array is
+                   <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of
+                   input samples processed by each call to <code>arm_lms_q15()</code>.
+ */
+
+void arm_lms_init_q15(
+  arm_lms_instance_q15 * S,
+  uint16_t numTaps,
+  q15_t * pCoeffs,
+  q15_t * pState,
+  q15_t mu,
+  uint32_t blockSize,
+  uint32_t postShift)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numTaps - 1 */
+  memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  /* Assign Step size value */
+  S->mu = mu;
+
+  /* Assign postShift value to be applied */
+  S->postShift = postShift;
+}
+
+/**
+  @} end of LMS group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c
new file mode 100644
index 0000000..559296a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_lms_init_q31.c
+ * Description:  Q31 LMS filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup LMS
+  @{
+ */
+
+/**
+  @brief         Initialization function for Q31 LMS filter.
+  @param[in]     S          points to an instance of the Q31 LMS filter structure
+  @param[in]     numTaps    number of filter coefficients
+  @param[in]     pCoeffs    points to coefficient buffer
+  @param[in]     pState     points to state buffer
+  @param[in]     mu         step size that controls filter coefficient updates
+  @param[in]     blockSize  number of samples to process
+  @param[in]     postShift  bit shift applied to coefficients
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+                   The initial filter coefficients serve as a starting point for the adaptive filter.
+                   <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples,
+                   where <code>blockSize</code> is the number of input samples processed by each call to
+                   <code>arm_lms_q31()</code>.
+ */
+
+void arm_lms_init_q31(
+  arm_lms_instance_q31 * S,
+  uint16_t numTaps,
+  q31_t * pCoeffs,
+  q31_t * pState,
+  q31_t mu,
+  uint32_t blockSize,
+  uint32_t postShift)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numTaps - 1 */
+  memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  /* Assign Step size value */
+  S->mu = mu;
+
+  /* Assign postShift value to be applied */
+  S->postShift = postShift;
+}
+
+/**
+  @} end of LMS group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c
new file mode 100644
index 0000000..244de7f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c
@@ -0,0 +1,564 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_lms_norm_f32.c
+ * Description:  Processing function for the floating-point NLMS filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @defgroup LMS_NORM Normalized LMS Filters
+
+  This set of functions implements a commonly used adaptive filter.
+  It is related to the Least Mean Square (LMS) adaptive filter and includes an additional normalization
+  factor which increases the adaptation rate of the filter.
+  The CMSIS DSP Library contains normalized LMS filter functions that operate on Q15, Q31, and floating-point data types.
+
+  A normalized least mean square (NLMS) filter consists of two components as shown below.
+  The first component is a standard transversal or FIR filter.
+  The second component is a coefficient update mechanism.
+  The NLMS filter has two input signals.
+  The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter.
+  That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input.
+  The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input.
+  This "error signal" tends towards zero as the filter adapts.
+  The NLMS processing functions accept the input and reference input signals and generate the filter output and error signal.
+  \image html LMS.gif "Internal structure of the NLMS adaptive filter"
+
+  The functions operate on blocks of data and each call to the function processes
+  <code>blockSize</code> samples through the filter.
+  <code>pSrc</code> points to input signal, <code>pRef</code> points to reference signal,
+  <code>pOut</code> points to output signal and <code>pErr</code> points to error signal.
+  All arrays contain <code>blockSize</code> values.
+
+  The functions operate on a block-by-block basis.
+  Internally, the filter coefficients <code>b[n]</code> are updated on a sample-by-sample basis.
+  The convergence of the LMS filter is slower compared to the normalized LMS algorithm.
+
+ @par            Algorithm
+                   The output signal <code>y[n]</code> is computed by a standard FIR filter:
+  <pre>
+      y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]
+  </pre>
+
+ @par
+                   The error signal equals the difference between the reference signal <code>d[n]</code> and the filter output:
+  <pre>
+      e[n] = d[n] - y[n].
+  </pre>
+
+ @par
+                   After each sample of the error signal is computed the instanteous energy of the filter state variables is calculated:
+  <pre>
+     E = x[n]^2 + x[n-1]^2 + ... + x[n-numTaps+1]^2.
+  </pre>
+                   The filter coefficients <code>b[k]</code> are then updated on a sample-by-sample basis:
+  <pre>
+      b[k] = b[k] + e[n] * (mu/E) * x[n-k],  for k=0, 1, ..., numTaps-1
+  </pre>
+                   where <code>mu</code> is the step size and controls the rate of coefficient convergence.
+ @par
+                   In the APIs, <code>pCoeffs</code> points to a coefficient array of size <code>numTaps</code>.
+                   Coefficients are stored in time reversed order.
+ @par
+  <pre>
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+ @par
+                   <code>pState</code> points to a state array of size <code>numTaps + blockSize - 1</code>.
+                   Samples in the state buffer are stored in the order:
+ @par
+  <pre>
+     {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+  </pre>
+ @par
+                   Note that the length of the state buffer exceeds the length of the coefficient array by <code>blockSize-1</code> samples.
+                   The increased state buffer length allows circular addressing, which is traditionally used in FIR filters,
+                   to be avoided and yields a significant speed improvement.
+                   The state variables are updated after each block of data is processed.
+
+ @par            Instance Structure
+                   The coefficients and state variables for a filter are stored together in an instance data structure.
+                   A separate instance structure must be defined for each filter and
+                   coefficient and state arrays cannot be shared among instances.
+                   There are separate instance structure declarations for each of the 3 supported data types.
+
+ @par            Initialization Functions
+                   There is also an associated initialization function for each data type.
+                   The initialization function performs the following operations:
+                   - Sets the values of the internal structure fields.
+                   - Zeros out the values in the state buffer.
+                   To do this manually without calling the init function, assign the follow subfields of the instance structure:
+                   numTaps, pCoeffs, mu, energy, x0, pState. Also set all of the values in pState to zero.
+                   For Q7, Q15, and Q31 the following fields must also be initialized;
+                   recipTable, postShift
+ @par
+                   Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.
+ @par            Fixed-Point Behavior
+                   Care must be taken when using the Q15 and Q31 versions of the normalised LMS filter.
+                   The following issues must be considered:
+                   - Scaling of coefficients
+                   - Overflow and saturation
+
+ @par            Scaling of Coefficients
+                   Filter coefficients are represented as fractional values and
+                   coefficients are restricted to lie in the range <code>[-1 +1)</code>.
+                   The fixed-point functions have an additional scaling parameter <code>postShift</code>.
+                   At the output of the filter's accumulator is a shift register which shifts the result by <code>postShift</code> bits.
+                   This essentially scales the filter coefficients by <code>2^postShift</code> and
+                   allows the filter coefficients to exceed the range <code>[+1 -1)</code>.
+                   The value of <code>postShift</code> is set by the user based on the expected gain through the system being modeled.
+
+ @par            Overflow and Saturation
+                   Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are
+                   described separately as part of the function specific documentation below.
+ */
+
+/**
+  @addtogroup LMS_NORM
+  @{
+ */
+
+/**
+  @brief         Processing function for floating-point normalized LMS filter.
+  @param[in]     S         points to an instance of the floating-point normalized LMS filter structure
+  @param[in]     pSrc      points to the block of input data
+  @param[in]     pRef      points to the block of reference data
+  @param[out]    pOut      points to the block of output data
+  @param[out]    pErr      points to the block of error data
+  @param[in]     blockSize number of samples to process
+  @return        none
+ */
+
+#if defined(ARM_MATH_NEON)
+void arm_lms_norm_f32(
+  arm_lms_norm_instance_f32 * S,
+  const float32_t * pSrc,
+  float32_t * pRef,
+  float32_t * pOut,
+  float32_t * pErr,
+  uint32_t blockSize)
+{
+  float32_t *pState = S->pState;                 /* State pointer */
+  float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+  float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+  float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
+  float32_t mu = S->mu;                          /* Adaptive factor */
+  uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+  uint32_t tapCnt, blkCnt;                       /* Loop counters */
+  float32_t energy;                              /* Energy of the input */
+  float32_t sum, e, d;                           /* accumulator, error, reference data sample */
+  float32_t w, x0, in;                           /* weight factor, temporary variable to hold input sample and state */
+
+  float32x4_t tempV, sumV, xV, bV;
+  float32x2_t tempV2;
+
+  /* Initializations of error,  difference, Coefficient update */
+  e = 0.0f;
+  d = 0.0f;
+  w = 0.0f;
+
+  energy = S->energy;
+  x0 = S->x0;
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+  /* Loop over blockSize number of values */
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy -= x0 * x0;
+    energy += in * in;
+
+    /* Set the accumulator to zero */
+    sum = 0.0f;
+    sumV = vdupq_n_f32(0.0);
+
+    /* Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      xV = vld1q_f32(px);
+      bV = vld1q_f32(pb);
+      sumV = vmlaq_f32(sumV, xV, bV);
+
+      px += 4; 
+      pb += 4;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+    tempV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
+    sum = tempV2[0] + tempV2[1];
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4U;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      sum += (*px++) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* The result in the accumulator, store in the destination buffer. */
+    *pOut++ = sum;
+
+    /* Compute and store error */
+    d = (float32_t) (*pRef++);
+    e = d - sum;
+    *pErr++ = e;
+
+    /* Calculation of Weighting factor for updating filter coefficients */
+    /* epsilon value 0.000000119209289f */
+    w = (e * mu) / (energy + 0.000000119209289f);
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coeff pointer */
+    pb = (pCoeffs);
+
+    /* Process 4 taps at a time. */
+    tapCnt = numTaps >> 2;
+
+    /* Update filter coefficients */
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      xV = vld1q_f32(px);
+      bV = vld1q_f32(pb);
+      px += 4;
+      bV = vmlaq_n_f32(bV,xV,w);
+
+      vst1q_f32(pb,bV); 
+      pb += 4;
+
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* If the filter length is not a multiple of 4, compute the remaining filter taps */
+    tapCnt = numTaps % 0x4U;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      *pb += w * (*px++);
+      pb++;
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  S->energy = energy;
+  S->x0 = x0;
+
+  /* Processing is complete. Now copy the last numTaps - 1 samples to the
+     satrt of the state buffer. This prepares the state buffer for the
+     next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* Process 4 taps at a time for (numTaps - 1U)/4 samples copy */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  /* copy data */
+  while (tapCnt > 0U)
+  {
+    tempV = vld1q_f32(pState);
+    vst1q_f32(pStateCurnt,tempV); 
+    pState += 4;
+    pStateCurnt += 4;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+  /* Calculate remaining number of copies */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+  /* Copy the remaining q31_t data */
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement the loop counter */
+    tapCnt--;
+  }
+
+}
+#else
+void arm_lms_norm_f32(
+        arm_lms_norm_instance_f32 * S,
+  const float32_t * pSrc,
+        float32_t * pRef,
+        float32_t * pOut,
+        float32_t * pErr,
+        uint32_t blockSize)
+{
+        float32_t *pState = S->pState;                 /* State pointer */
+        float32_t *pCoeffs = S->pCoeffs;               /* Coefficient pointer */
+        float32_t *pStateCurnt;                        /* Points to the current sample of the state */
+        float32_t *px, *pb;                            /* Temporary pointers for state and coefficient buffers */
+        float32_t mu = S->mu;                          /* Adaptive factor */
+        float32_t acc, e;                              /* Accumulator, error */
+        float32_t w;                                   /* Weight factor */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t tapCnt, blkCnt;                       /* Loop counters */
+        float32_t energy;                              /* Energy of the input */
+        float32_t x0, in;                              /* Temporary variable to hold input sample and state */
+
+  /* Initializations of error,  difference, Coefficient update */
+  e = 0.0f;
+  w = 0.0f;
+
+  energy = S->energy;
+  x0 = S->x0;
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+  /* initialise loop count */
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy -= x0 * x0;
+    energy += in * in;
+
+    /* Set the accumulator to zero */
+    acc = 0.0f;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (*px++) * (*pb++);
+
+      acc += (*px++) * (*pb++);
+
+      acc += (*px++) * (*pb++);
+
+      acc += (*px++) * (*pb++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (*px++) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = acc;
+
+    /* Compute and store error */
+    e = (float32_t) *pRef++ - acc;
+    *pErr++ = e;
+
+    /* Calculation of Weighting factor for updating filter coefficients */
+    /* epsilon value 0.000000119209289f */
+    w = (e * mu) / (energy + 0.000000119209289f);
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    /* Update filter coefficients */
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      *pb += w * (*px++);
+      pb++;
+
+      *pb += w * (*px++);
+      pb++;
+
+      *pb += w * (*px++);
+      pb++;
+
+      *pb += w * (*px++);
+      pb++;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      *pb += w * (*px++);
+      pb++;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Save energy and x0 values for the next frame */
+  S->energy = energy;
+  S->x0 = x0;
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the start of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time. */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining taps */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+  /* Initialize tapCnt with number of samples */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+/**
+  @} end of LMS_NORM group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c
new file mode 100644
index 0000000..632510f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c
@@ -0,0 +1,92 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_lms_norm_init_f32.c
+ * Description:  Floating-point NLMS filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup LMS_NORM
+  @{
+ */
+
+/**
+  @brief         Initialization function for floating-point normalized LMS filter.
+  @param[in]     S         points to an instance of the floating-point LMS filter structure
+  @param[in]     numTaps   number of filter coefficients
+  @param[in]     pCoeffs   points to coefficient buffer
+  @param[in]     pState    points to state buffer
+  @param[in]     mu        step size that controls filter coefficient updates
+  @param[in]     blockSize number of samples to process
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+                   The initial filter coefficients serve as a starting point for the adaptive filter.
+                   <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples,
+                   where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_lms_norm_f32()</code>.
+ */
+
+void arm_lms_norm_init_f32(
+        arm_lms_norm_instance_f32 * S,
+        uint16_t numTaps,
+        float32_t * pCoeffs,
+        float32_t * pState,
+        float32_t mu,
+        uint32_t blockSize)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numTaps - 1 */
+  memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t));
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  /* Assign Step size value */
+  S->mu = mu;
+
+  /* Initialise Energy to zero */
+  S->energy = 0.0f;
+
+  /* Initialise x0 to zero */
+  S->x0 = 0.0f;
+}
+
+/**
+  @} end of LMS_NORM group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c
new file mode 100644
index 0000000..11b5f39
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c
@@ -0,0 +1,98 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_lms_norm_init_q15.c
+ * Description:  Q15 NLMS filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @addtogroup LMS_NORM
+  @{
+ */
+
+/**
+  @brief         Initialization function for Q15 normalized LMS filter.
+  @param[in]     S         points to an instance of the Q15 normalized LMS filter structure.
+  @param[in]     numTaps   number of filter coefficients.
+  @param[in]     pCoeffs   points to coefficient buffer.
+  @param[in]     pState    points to state buffer.
+  @param[in]     mu        step size that controls filter coefficient updates.
+  @param[in]     blockSize number of samples to process.
+  @param[in]     postShift bit shift applied to coefficients.
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+                   The initial filter coefficients serve as a starting point for the adaptive filter.
+                   <code>pState</code> points to the array of state variables and size of array is
+                   <code>numTaps+blockSize-1</code> samples, where <code>blockSize</code> is the number of input samples processed
+                   by each call to <code>arm_lms_norm_q15()</code>.
+ */
+
+void arm_lms_norm_init_q15(
+        arm_lms_norm_instance_q15 * S,
+        uint16_t numTaps,
+        q15_t * pCoeffs,
+        q15_t * pState,
+        q15_t mu,
+        uint32_t blockSize,
+        uint8_t postShift)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numTaps - 1 */
+  memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t));
+
+  /* Assign post Shift value applied to coefficients */
+  S->postShift = postShift;
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  /* Assign Step size value */
+  S->mu = mu;
+
+  /* Initialize reciprocal pointer table */
+  S->recipTable = (q15_t *) armRecipTableQ15;
+
+  /* Initialise Energy to zero */
+  S->energy = 0;
+
+  /* Initialise x0 to zero */
+  S->x0 = 0;
+}
+
+/**
+  @} end of LMS_NORM group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c
new file mode 100644
index 0000000..79d629f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c
@@ -0,0 +1,97 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_lms_norm_init_q31.c
+ * Description:  Q31 NLMS filter initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @addtogroup LMS_NORM
+  @{
+ */
+
+/**
+  @brief         Initialization function for Q31 normalized LMS filter.
+  @param[in]     S         points to an instance of the Q31 normalized LMS filter structure.
+  @param[in]     numTaps   number of filter coefficients.
+  @param[in]     pCoeffs   points to coefficient buffer.
+  @param[in]     pState    points to state buffer.
+  @param[in]     mu        step size that controls filter coefficient updates.
+  @param[in]     blockSize number of samples to process.
+  @param[in]     postShift bit shift applied to coefficients.
+  @return        none
+
+  @par           Details
+                   <code>pCoeffs</code> points to the array of filter coefficients stored in time reversed order:
+  <pre>
+     {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+  </pre>
+                   The initial filter coefficients serve as a starting point for the adaptive filter.
+                   <code>pState</code> points to an array of length <code>numTaps+blockSize-1</code> samples,
+                   where <code>blockSize</code> is the number of input samples processed by each call to <code>arm_lms_norm_q31()</code>.
+ */
+
+void arm_lms_norm_init_q31(
+        arm_lms_norm_instance_q31 * S,
+        uint16_t numTaps,
+        q31_t * pCoeffs,
+        q31_t * pState,
+        q31_t mu,
+        uint32_t blockSize,
+        uint8_t postShift)
+{
+  /* Assign filter taps */
+  S->numTaps = numTaps;
+
+  /* Assign coefficient pointer */
+  S->pCoeffs = pCoeffs;
+
+  /* Clear state buffer and size is always blockSize + numTaps - 1 */
+  memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t));
+
+  /* Assign post Shift value applied to coefficients */
+  S->postShift = postShift;
+
+  /* Assign state pointer */
+  S->pState = pState;
+
+  /* Assign Step size value */
+  S->mu = mu;
+
+  /* Initialize reciprocal pointer table */
+  S->recipTable = (q31_t *) armRecipTableQ31;
+
+  /* Initialise Energy to zero */
+  S->energy = 0;
+
+  /* Initialise x0 to zero */
+  S->x0 = 0;
+}
+
+/**
+  @} end of LMS_NORM group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c
new file mode 100644
index 0000000..14bbdc7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c
@@ -0,0 +1,297 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_lms_norm_q15.c
+ * Description:  Processing function for Q15 normalized LMS filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup LMS_NORM
+  @{
+ */
+
+/**
+  @brief         Processing function for Q15 normalized LMS filter.
+  @param[in]     S         points to an instance of the Q15 normalized LMS filter structure
+  @param[in]     pSrc      points to the block of input data
+  @param[in]     pRef      points to the block of reference data
+  @param[out]    pOut      points to the block of output data
+  @param[out]    pErr      points to the block of error data
+  @param[in]     blockSize number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   Both coefficients and state variables are represented in 1.15 format and
+                   multiplications yield a 2.30 result. The 2.30 intermediate results are
+                   accumulated in a 64-bit accumulator in 34.30 format.
+                   There is no risk of internal overflow with this approach and the full
+                   precision of intermediate multiplications is preserved. After all additions
+                   have been performed, the accumulator is truncated to 34.15 format by
+                   discarding low 15 bits. Lastly, the accumulator is saturated to yield a
+                   result in 1.15 format.
+ @par
+  	               In this filter, filter coefficients are updated for each sample and the
+                   updation of filter cofficients are saturted.
+ */
+
+void arm_lms_norm_q15(
+        arm_lms_norm_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pRef,
+        q15_t * pOut,
+        q15_t * pErr,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+        q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q15_t *px, *pb;                                /* Temporary pointers for state and coefficient buffers */
+        q15_t mu = S->mu;                              /* Adaptive factor */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t tapCnt, blkCnt;                       /* Loop counters */
+        q63_t acc;                                     /* Accumulator */
+        q31_t energy;                                  /* Energy of the input */
+        q15_t e = 0, d = 0;                            /* Error, reference data sample */
+        q15_t w = 0, in;                               /* Weight factor and state */
+        q15_t x0;                                      /* Temporary variable to hold input sample */
+        q15_t errorXmu, oneByEnergy;                   /* Temporary variables to store error and mu product and reciprocal of energy */
+        q15_t postShift;                               /* Post shift to be applied to weight after reciprocal calculation */
+        q31_t coef;                                    /* Temporary variable for coefficient */
+        q31_t acc_l, acc_h;                            /* Temporary input */
+        int32_t lShift = (15 - (int32_t) S->postShift);       /*  Post shift  */
+        int32_t uShift = (32 - lShift);
+
+  energy = S->energy;
+  x0 = S->x0;
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+  /* initialise loop count */
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy -= (((q31_t) x0 * (x0)) >> 15);
+    energy += (((q31_t) in * (in)) >> 15);
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* acc +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+      acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc);
+      acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    /* Apply shift for lower part of acc and upper part of acc */
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+    /* Converting the result to 1.15 format and saturate the output */
+    acc = __SSAT(acc, 16U);
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q15_t) acc;
+
+    /* Compute and store error */
+    d = *pRef++;
+    e = d - (q15_t) acc;
+    *pErr++ = e;
+
+    /* Calculation of 1/energy */
+    postShift = arm_recip_q15((q15_t) energy + DELTA_Q15, &oneByEnergy, S->recipTable);
+
+    /* Calculation of e * mu value */
+    errorXmu = (q15_t) (((q31_t) e * mu) >> 15);
+
+    /* Calculation of (e * mu) * (1/energy) value */
+    acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift));
+
+    /* Weighting factor for the normalized version */
+    w = (q15_t) __SSAT((q31_t) acc, 16);
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    /* Update filter coefficients */
+    while (tapCnt > 0U)
+    {
+      coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT(coef, 16);
+
+      coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT(coef, 16);
+
+      coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT(coef, 16);
+
+      coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT(coef, 16);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      coef = (q31_t) *pb + (((q31_t) w * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT(coef, 16);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Save energy and x0 values for the next frame */
+  S->energy = (q15_t) energy;
+  S->x0 = x0;
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the start of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time. */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  while (tapCnt > 0U)
+  {
+    write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState));
+    write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState));
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining taps */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+  /* Initialize tapCnt with number of samples */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+
+/**
+  @} end of LMS_NORM group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c
new file mode 100644
index 0000000..34cc34a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c
@@ -0,0 +1,311 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_lms_norm_q31.c
+ * Description:  Processing function for the Q31 NLMS filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup LMS_NORM
+  @{
+ */
+
+/**
+  @brief         Processing function for Q31 normalized LMS filter.
+  @param[in]     S         points to an instance of the Q31 normalized LMS filter structure
+  @param[in]     pSrc      points to the block of input data
+  @param[in]     pRef      points to the block of reference data
+  @param[out]    pOut      points to the block of output data
+  @param[out]    pErr      points to the block of error data
+  @param[in]     blockSize number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The accumulator has a 2.62 format and maintains full precision of the intermediate
+                   multiplication results but provides only a single guard bit.
+                   Thus, if the accumulator result overflows it wraps around rather than clip.
+                   In order to avoid overflows completely the input signal must be scaled down by
+                   log2(numTaps) bits. The reference signal should not be scaled down.
+                   After all multiply-accumulates are performed, the 2.62 accumulator is shifted
+                   and saturated to 1.31 format to yield the final result.
+                   The output signal and error signal are in 1.31 format.
+ @par
+  	               In this filter, filter coefficients are updated for each sample and the
+                   updation of filter cofficients are saturted.
+ */
+
+void arm_lms_norm_q31(
+        arm_lms_norm_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pRef,
+        q31_t * pOut,
+        q31_t * pErr,
+        uint32_t blockSize)
+{
+        q31_t *pState = S->pState;                     /* State pointer */
+        q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q31_t *px, *pb;                                /* Temporary pointers for state and coefficient buffers */
+        q31_t mu = S->mu;                              /* Adaptive factor */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t tapCnt, blkCnt;                       /* Loop counters */
+        q63_t acc;                                     /* Accumulator */
+        q63_t energy;                                  /* Energy of the input */
+        q31_t e = 0;                                   /* Error data sample */
+        q31_t w = 0, in;                               /* Weight factor and state */
+        q31_t x0;                                      /* Temporary variable to hold input sample */
+        q31_t errorXmu, oneByEnergy;                   /* Temporary variables to store error and mu product and reciprocal of energy */
+        q31_t postShift;                               /* Post shift to be applied to weight after reciprocal calculation */
+        q31_t coef;                                    /* Temporary variable for coef */
+        q31_t acc_l, acc_h;                            /* Temporary input */
+        uint32_t uShift = ((uint32_t) S->postShift + 1U);
+        uint32_t lShift = 32U - uShift;                /*  Shift to be applied to the output */
+
+  energy = S->energy;
+  x0 = S->x0;
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+  /* initialise loop count */
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Read the sample from input buffer */
+    in = *pSrc++;
+
+    /* Update the energy calculation */
+    energy = (q31_t) ((((q63_t) energy << 32) - (((q63_t) x0 * x0) << 1)) >> 32);
+    energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32);
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* acc +=  b[N] * x[n-N] */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* acc +=  b[N-1] * x[n-N-1] */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* acc +=  b[N-2] * x[n-N-2] */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* acc +=  b[N-3] * x[n-N-3] */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Converting the result to 1.31 format */
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q31_t) acc;
+
+    /* Compute and store error */
+    e = *pRef++ - (q31_t) acc;
+    *pErr++ = e;
+
+    /* Calculates the reciprocal of energy */
+    postShift = arm_recip_q31(energy + DELTA_Q31, &oneByEnergy, &S->recipTable[0]);
+
+    /* Calculation of product of (e * mu) */
+    errorXmu = (q31_t) (((q63_t) e * mu) >> 31);
+
+    /* Weighting factor for the normalized version */
+    w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift));
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    /* Update filter coefficients */
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+
+      /* coef is in 2.30 format */
+      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+      /* get coef in 1.31 format by left shifting */
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+      /* update coefficient buffer to next coefficient */
+      pb++;
+
+      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+      pb++;
+
+      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+      pb++;
+
+      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+      pb++;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      coef = (q31_t) (((q63_t) w * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+      pb++;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Read the sample from state buffer */
+    x0 = *pState;
+
+    /* Advance state pointer by 1 for the next sample */
+    pState = pState + 1;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Save energy and x0 values for the next frame */
+  S->energy = (q31_t) energy;
+  S->x0 = x0;
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the start of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time. */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining taps */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+  /* Initialize tapCnt with number of samples */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+
+/**
+  @} end of LMS_NORM group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c
new file mode 100644
index 0000000..ce4fd31
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c
@@ -0,0 +1,262 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_lms_q15.c
+ * Description:  Processing function for Q15 LMS filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup LMS
+  @{
+ */
+
+/**
+  @brief         Processing function for Q15 LMS filter.
+  @param[in]     S         points to an instance of the Q15 LMS filter structure
+  @param[in]     pSrc      points to the block of input data
+  @param[in]     pRef      points to the block of reference data
+  @param[out]    pOut      points to the block of output data
+  @param[out]    pErr      points to the block of error data
+  @param[in]     blockSize number of samples to process
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+                   The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+                   There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+                   After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+                   Lastly, the accumulator is saturated to yield a result in 1.15 format.
+  @par
+                   In this filter, filter coefficients are updated for each sample and
+                   the updation of filter cofficients are saturted.
+ */
+
+void arm_lms_q15(
+  const arm_lms_instance_q15 * S,
+  const q15_t * pSrc,
+        q15_t * pRef,
+        q15_t * pOut,
+        q15_t * pErr,
+        uint32_t blockSize)
+{
+        q15_t *pState = S->pState;                     /* State pointer */
+        q15_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q15_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q15_t *px, *pb;                                /* Temporary pointers for state and coefficient buffers */
+        q15_t mu = S->mu;                              /* Adaptive factor */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t tapCnt, blkCnt;                       /* Loop counters */
+        q63_t acc;                                     /* Accumulator */
+        q15_t e = 0;                                   /* Error of data sample */
+        q15_t alpha;                                   /* Intermediate constant for taps update */
+        q31_t coef;                                    /* Temporary variable for coefficient */
+        q31_t acc_l, acc_h;                            /* Temporary input */
+        int32_t lShift = (15 - (int32_t) S->postShift);       /*  Post shift  */
+        int32_t uShift = (32 - lShift);
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+  /* initialise loop count */
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* acc +=  b[N] * x[n-N] + b[N-1] * x[n-N-1] */
+      acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc);
+      acc = __SMLALD(read_q15x2_ia (&px), read_q15x2_ia (&pb), acc);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      acc += (q63_t) (((q31_t) (*px++) * (*pb++)));
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    /* Apply shift for lower part of acc and upper part of acc */
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+    /* Converting the result to 1.15 format and saturate the output */
+    acc = __SSAT(acc, 16U);
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q15_t) acc;
+
+    /* Compute and store error */
+    e = *pRef++ - (q15_t) acc;
+    *pErr++ = (q15_t) e;
+
+    /* Compute alpha i.e. intermediate constant for taps update */
+    alpha = (q15_t) (((q31_t) e * (mu)) >> 15);
+
+    /* Initialize pState pointer */
+    /* Advance state pointer by 1 for the next sample */
+    px = pState++;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    /* Update filter coefficients */
+    while (tapCnt > 0U)
+    {
+      coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+
+      coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+
+      coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+
+      coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      coef = (q31_t) *pb + (((q31_t) alpha * (*px++)) >> 15);
+      *pb++ = (q15_t) __SSAT((coef), 16);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the start of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time. */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  while (tapCnt > 0U)
+  {
+    write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState));
+    write_q15x2_ia (&pStateCurnt, read_q15x2_ia (&pState));
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining taps */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+  /* Initialize tapCnt with number of samples */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+
+/**
+  @} end of LMS group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c
new file mode 100644
index 0000000..b9f7a73
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c
@@ -0,0 +1,283 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_lms_q31.c
+ * Description:  Processing function for the Q31 LMS filter
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupFilters
+ */
+
+/**
+  @addtogroup LMS
+  @{
+ */
+
+/**
+  @brief         Processing function for Q31 LMS filter.
+  @param[in]     S         points to an instance of the Q31 LMS filter structure.
+  @param[in]     pSrc      points to the block of input data.
+  @param[in]     pRef      points to the block of reference data.
+  @param[out]    pOut      points to the block of output data.
+  @param[out]    pErr      points to the block of error data.
+  @param[in]     blockSize number of samples to process.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The accumulator has a 2.62 format and maintains full precision of the intermediate
+                   multiplication results but provides only a single guard bit.
+                   Thus, if the accumulator result overflows it wraps around rather than clips.
+                   In order to avoid overflows completely the input signal must be scaled down by
+                   log2(numTaps) bits.
+                   The reference signal should not be scaled down.
+                   After all multiply-accumulates are performed, the 2.62 accumulator is shifted
+                   and saturated to 1.31 format to yield the final result.
+                   The output signal and error signal are in 1.31 format.
+ @par
+                   In this filter, filter coefficients are updated for each sample and
+                   the updation of filter cofficients are saturted.
+ */
+
+void arm_lms_q31(
+  const arm_lms_instance_q31 * S,
+  const q31_t * pSrc,
+        q31_t * pRef,
+        q31_t * pOut,
+        q31_t * pErr,
+        uint32_t blockSize)
+{       
+        q31_t *pState = S->pState;                     /* State pointer */
+        q31_t *pCoeffs = S->pCoeffs;                   /* Coefficient pointer */
+        q31_t *pStateCurnt;                            /* Points to the current sample of the state */
+        q31_t *px, *pb;                                /* Temporary pointers for state and coefficient buffers */
+        q31_t mu = S->mu;                              /* Adaptive factor */
+        uint32_t numTaps = S->numTaps;                 /* Number of filter coefficients in the filter */
+        uint32_t tapCnt, blkCnt;                       /* Loop counters */
+        q63_t acc;                                     /* Accumulator */
+        q31_t e = 0;                                   /* Error of data sample */
+        q31_t alpha;                                   /* Intermediate constant for taps update */
+        q31_t coef;                                    /* Temporary variable for coef */
+        q31_t acc_l, acc_h;                            /* Temporary input */
+        uint32_t uShift = ((uint32_t) S->postShift + 1U);
+        uint32_t lShift = 32U - uShift;                /*  Shift to be applied to the output */
+
+  /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */
+  /* pStateCurnt points to the location where the new input data should be written */
+  pStateCurnt = &(S->pState[(numTaps - 1U)]);
+
+  /* initialise loop count */
+  blkCnt = blockSize;
+
+  while (blkCnt > 0U)
+  {
+    /* Copy the new input sample into the state buffer */
+    *pStateCurnt++ = *pSrc++;
+
+    /* Initialize pState pointer */
+    px = pState;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+    /* Set the accumulator to zero */
+    acc = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      /* acc +=  b[N] * x[n-N] */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* acc +=  b[N-1] * x[n-N-1] */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* acc +=  b[N-2] * x[n-N-2] */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* acc +=  b[N-3] * x[n-N-3] */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      acc += ((q63_t) (*px++)) * (*pb++);
+
+      /* Decrement the loop counter */
+      tapCnt--;
+    }
+
+    /* Converting the result to 1.31 format */
+    /* Calc lower part of acc */
+    acc_l = acc & 0xffffffff;
+
+    /* Calc upper part of acc */
+    acc_h = (acc >> 32) & 0xffffffff;
+
+    acc = (uint32_t) acc_l >> lShift | acc_h << uShift;
+
+    /* Store the result from accumulator into the destination buffer. */
+    *pOut++ = (q31_t) acc;
+
+    /* Compute and store error */
+    e = *pRef++ - (q31_t) acc;
+    *pErr++ = e;
+
+    /* Compute alpha i.e. intermediate constant for taps update */
+    alpha = (q31_t) (((q63_t) e * mu) >> 31);
+
+    /* Initialize pState pointer */
+    /* Advance state pointer by 1 for the next sample */
+    px = pState++;
+
+    /* Initialize coefficient pointer */
+    pb = pCoeffs;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 taps at a time. */
+    tapCnt = numTaps >> 2U;
+
+    /* Update filter coefficients */
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+
+      /* coef is in 2.30 format */
+      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+      /* get coef in 1.31 format by left shifting */
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+      /* update coefficient buffer to next coefficient */
+      pb++;
+
+      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+      pb++;
+
+      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+      pb++;
+
+      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+      pb++;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining taps */
+    tapCnt = numTaps % 0x4U;
+
+#else
+
+    /* Initialize tapCnt with number of samples */
+    tapCnt = numTaps;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (tapCnt > 0U)
+    {
+      /* Perform the multiply-accumulate */
+      coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32));
+      *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U));
+      pb++;
+
+      /* Decrement loop counter */
+      tapCnt--;
+    }
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Processing is complete.
+     Now copy the last numTaps - 1 samples to the start of the state buffer.
+     This prepares the state buffer for the next function call. */
+
+  /* Points to the start of the pState buffer */
+  pStateCurnt = S->pState;
+
+  /* copy data */
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 taps at a time. */
+  tapCnt = (numTaps - 1U) >> 2U;
+
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining taps */
+  tapCnt = (numTaps - 1U) % 0x4U;
+
+#else
+
+  /* Initialize tapCnt with number of samples */
+  tapCnt = (numTaps - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (tapCnt > 0U)
+  {
+    *pStateCurnt++ = *pState++;
+
+    /* Decrement loop counter */
+    tapCnt--;
+  }
+
+}
+
+/**
+  @} end of LMS group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/MatrixFunctions/CMakeLists.txt
new file mode 100644
index 0000000..41be093
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/CMakeLists.txt
@@ -0,0 +1,16 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPMatrix)
+
+
+file(GLOB SRC "./*_*.c")
+
+add_library(CMSISDSPMatrix STATIC ${SRC})
+
+configdsp(CMSISDSPMatrix ..)
+
+### Includes
+target_include_directories(CMSISDSPMatrix PUBLIC "${DSP}/../../Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/MatrixFunctions.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/MatrixFunctions.c
new file mode 100644
index 0000000..79d7be2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/MatrixFunctions.c
@@ -0,0 +1,53 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        MatrixFunctions.c
+ * Description:  Combination of all matrix function source files.
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_mat_add_f32.c"
+#include "arm_mat_add_q15.c"
+#include "arm_mat_add_q31.c"
+#include "arm_mat_cmplx_mult_f32.c"
+#include "arm_mat_cmplx_mult_q15.c"
+#include "arm_mat_cmplx_mult_q31.c"
+#include "arm_mat_init_f32.c"
+#include "arm_mat_init_q15.c"
+#include "arm_mat_init_q31.c"
+#include "arm_mat_inverse_f32.c"
+#include "arm_mat_inverse_f64.c"
+#include "arm_mat_mult_f32.c"
+#include "arm_mat_mult_fast_q15.c"
+#include "arm_mat_mult_fast_q31.c"
+#include "arm_mat_mult_q15.c"
+#include "arm_mat_mult_q31.c"
+#include "arm_mat_scale_f32.c"
+#include "arm_mat_scale_q15.c"
+#include "arm_mat_scale_q31.c"
+#include "arm_mat_sub_f32.c"
+#include "arm_mat_sub_q15.c"
+#include "arm_mat_sub_q31.c"
+#include "arm_mat_trans_f32.c"
+#include "arm_mat_trans_q15.c"
+#include "arm_mat_trans_q31.c"
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_f32.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_f32.c
new file mode 100644
index 0000000..7f9ec08
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_f32.c
@@ -0,0 +1,232 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_add_f32.c
+ * Description:  Floating-point matrix addition
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @defgroup MatrixAdd Matrix Addition
+
+  Adds two matrices.
+  \image html MatrixAddition.gif "Addition of two 3 x 3 matrices"
+
+  The functions check to make sure that
+  <code>pSrcA</code>, <code>pSrcB</code>, and <code>pDst</code> have the same
+  number of rows and columns.
+ */
+
+/**
+  @addtogroup MatrixAdd
+  @{
+ */
+
+
+/**
+  @brief         Floating-point matrix addition.
+  @param[in]     pSrcA      points to first input matrix structure
+  @param[in]     pSrcB      points to second input matrix structure
+  @param[out]    pDst       points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_NEON)
+/*
+
+Neon version is assuming the matrix is small enough.
+So no blocking is used for taking into account cache effects.
+For big matrix, there exist better libraries for Neon.
+
+*/
+arm_status arm_mat_add_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A  */
+  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B  */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer   */
+
+  float32_t inA1, inA2, inB1, inB2, out1, out2;  /* temporary variables */
+
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numRows != pSrcB->numRows) ||
+     (pSrcA->numCols != pSrcB->numCols) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif
+  {
+    float32x4_t vec1;
+    float32x4_t vec2;
+    float32x4_t res;
+
+    /* Total number of samples in the input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+    blkCnt = numSamples >> 2U;
+
+    /* Compute 4 outputs at a time.
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+      /* Add and then store the results in the destination buffer. */
+      vec1 = vld1q_f32(pIn1);
+      vec2 = vld1q_f32(pIn2);
+      res = vaddq_f32(vec1, vec2);
+      vst1q_f32(pOut, res);
+
+      /* update pointers to process next samples */
+      pIn1 += 4U;
+      pIn2 += 4U;
+      pOut += 4U;
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+     ** No loop unrolling is used. */
+    blkCnt = numSamples % 0x4U;
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+      /* Add and then store the results in the destination buffer. */
+      *pOut++ = (*pIn1++) + (*pIn2++);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+#else
+arm_status arm_mat_add_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+        arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pInA = pSrcA->pData;                /* input data matrix pointer A */
+  float32_t *pInB = pSrcB->pData;                /* input data matrix pointer B */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+
+  uint32_t numSamples;                           /* total number of elements in the matrix */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numRows != pSrcB->numRows) ||
+      (pSrcA->numCols != pSrcB->numCols) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcA->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Total number of samples in input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = numSamples >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+
+      /* Add and store result in destination buffer. */
+      *pOut++ = *pInA++ + *pInB++;
+
+      *pOut++ = *pInA++ + *pInB++;
+
+      *pOut++ = *pInA++ + *pInB++;
+
+      *pOut++ = *pInA++ + *pInB++;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = numSamples % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+
+      /* Add and store result in destination buffer. */
+      *pOut++ = *pInA++ + *pInB++;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of MatrixAdd group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c
new file mode 100644
index 0000000..1e892fb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c
@@ -0,0 +1,149 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_add_q15.c
+ * Description:  Q15 matrix addition
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixAdd
+  @{
+ */
+
+/**
+  @brief         Q15 matrix addition.
+  @param[in]     pSrcA      points to first input matrix structure
+  @param[in]     pSrcB      points to second input matrix structure
+  @param[out]    pDst       points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+
+arm_status arm_mat_add_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst)
+{
+        q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
+        q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
+        q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
+        
+        uint32_t numSamples;                           /* total number of elements in the matrix */
+        uint32_t blkCnt;                               /* loop counters */
+        arm_status status;                             /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numRows != pSrcB->numRows) ||
+      (pSrcA->numCols != pSrcB->numCols) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcA->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Total number of samples in input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = numSamples >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+
+      /* Add, saturate and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+      write_q15x2_ia (&pOut, __QADD16(read_q15x2_ia (&pInA), read_q15x2_ia (&pInB)));
+
+      write_q15x2_ia (&pOut, __QADD16(read_q15x2_ia (&pInA), read_q15x2_ia (&pInB)));
+#else
+      *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+
+      *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+
+      *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+
+      *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+#endif
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = numSamples % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+
+      /* Add, saturate and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+      *pOut++ = (q15_t) __QADD16(*pInA++, *pInB++);
+#else
+      *pOut++ = (q15_t) __SSAT(((q31_t) *pInA++ + *pInB++), 16);
+#endif
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixAdd group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c
new file mode 100644
index 0000000..a9616f3
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c
@@ -0,0 +1,139 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_add_q31.c
+ * Description:  Q31 matrix addition
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixAdd
+  @{
+ */
+
+/**
+  @brief         Q31 matrix addition.
+  @param[in]     pSrcA      points to first input matrix structure
+  @param[in]     pSrcB      points to second input matrix structure
+  @param[out]    pDst       points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+arm_status arm_mat_add_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
+  q31_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
+  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
+
+  uint32_t numSamples;                           /* total number of elements in the matrix */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix addition */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numRows != pSrcB->numRows) ||
+      (pSrcA->numCols != pSrcB->numCols) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcA->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Total number of samples in input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = numSamples >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+
+      /* Add, saturate and store result in destination buffer. */
+      *pOut++ = __QADD(*pInA++, *pInB++);
+
+      *pOut++ = __QADD(*pInA++, *pInB++);
+
+      *pOut++ = __QADD(*pInA++, *pInB++);
+
+      *pOut++ = __QADD(*pInA++, *pInB++);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = numSamples % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) + B(m,n) */
+
+      /* Add, saturate and store result in destination buffer. */
+      *pOut++ = __QADD(*pInA++, *pInB++);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixAdd group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c
new file mode 100644
index 0000000..448122a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c
@@ -0,0 +1,631 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_cmplx_mult_f32.c
+ * Description:  Floating-point matrix multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @defgroup CmplxMatrixMult  Complex Matrix Multiplication
+
+  Complex Matrix multiplication is only defined if the number of columns of the
+  first matrix equals the number of rows of the second matrix.
+  Multiplying an <code>M x N</code> matrix with an <code>N x P</code> matrix results
+  in an <code>M x P</code> matrix.
+  @par
+  When matrix size checking is enabled, the functions check:
+   - that the inner dimensions of <code>pSrcA</code> and <code>pSrcB</code> are equal;
+   - that the size of the output matrix equals the outer dimensions of <code>pSrcA</code> and <code>pSrcB</code>.
+ */
+
+
+/**
+  @addtogroup CmplxMatrixMult
+  @{
+ */
+
+/**
+  @brief         Floating-point Complex matrix multiplication.
+  @param[in]     pSrcA      points to first input complex matrix structure
+  @param[in]     pSrcB      points to second input complex matrix structure
+  @param[out]    pDst       points to output complex matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_NEON)
+arm_status arm_mat_cmplx_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A */
+  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B */
+  float32_t *pInA = pSrcA->pData;                /* input data matrix pointer A  */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float32_t *px;                                 /* Temporary output data matrix pointer */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+  float32_t sumReal1, sumImag1;                  /* accumulator */
+  float32_t a0, b0, c0, d0;
+  float32_t a1, a1B,b1, b1B, c1, d1;
+  float32_t sumReal2, sumImag2;                  /* accumulator */
+
+
+  float32x4x2_t a0V, a1V;
+  float32x4_t accR0,accI0, accR1,accI1,tempR, tempI;
+  float32x2_t accum = vdup_n_f32(0);
+  float32_t *pIn1B = pSrcA->pData;    
+
+  uint16_t col, i = 0U, j, rowCnt, row = numRowsA, colCnt;      /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+  float32_t sumReal1B, sumImag1B; 
+  float32_t sumReal2B, sumImag2B; 
+  float32_t *pxB;  
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+
+    rowCnt = row >> 1;
+
+    /* Row loop */
+    while (rowCnt > 0U)
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + 2 * i;
+      pxB = px + 2 * numColsB;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0U;
+
+      /* Column loop */
+      while (col > 0U)
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sumReal1 = 0.0f;
+        sumImag1 = 0.0f;
+        sumReal1B = 0.0f;
+        sumImag1B = 0.0f;
+
+        sumReal2 = 0.0f;
+        sumImag2 = 0.0f;
+        sumReal2B = 0.0f;
+        sumImag2B = 0.0f;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pIn1 = pInA;
+        pIn1B = pIn1 + 2*numColsA;
+
+        accR0 = vdupq_n_f32(0.0);
+        accI0 = vdupq_n_f32(0.0);
+        accR1 = vdupq_n_f32(0.0);
+        accI1 = vdupq_n_f32(0.0);
+
+        /* Compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2;
+
+        /* Matrix multiplication */
+        while (colCnt > 0U)
+        {
+          /* Reading real part of complex matrix A */
+          a0V = vld2q_f32(pIn1);  // load & separate real/imag pSrcA (de-interleave 2)
+          a1V = vld2q_f32(pIn1B);  // load & separate real/imag pSrcA (de-interleave 2)
+
+          pIn1 += 8;
+          pIn1B += 8;
+
+          tempR[0] = *pIn2;
+          tempI[0] = *(pIn2 + 1U);
+          pIn2 += 2 * numColsB;
+
+          tempR[1] = *pIn2;
+          tempI[1] = *(pIn2 + 1U);
+          pIn2 += 2 * numColsB;
+
+          tempR[2] = *pIn2;
+          tempI[2] = *(pIn2 + 1U);
+          pIn2 += 2 * numColsB;
+
+          tempR[3] = *pIn2;
+          tempI[3] = *(pIn2 + 1U);
+          pIn2 += 2 * numColsB;
+
+          accR0 = vmlaq_f32(accR0,a0V.val[0],tempR);
+          accR0 = vmlsq_f32(accR0,a0V.val[1],tempI);
+
+          accI0 = vmlaq_f32(accI0,a0V.val[1],tempR);
+          accI0 = vmlaq_f32(accI0,a0V.val[0],tempI);
+
+          accR1 = vmlaq_f32(accR1,a1V.val[0],tempR);
+          accR1 = vmlsq_f32(accR1,a1V.val[1],tempI);
+
+          accI1 = vmlaq_f32(accI1,a1V.val[1],tempR);
+          accI1 = vmlaq_f32(accI1,a1V.val[0],tempI);
+
+          /* Decrement the loop count */
+          colCnt--;
+        }
+
+        accum = vpadd_f32(vget_low_f32(accR0), vget_high_f32(accR0));
+        sumReal1 += accum[0] + accum[1];
+
+        accum = vpadd_f32(vget_low_f32(accI0), vget_high_f32(accI0));
+        sumImag1 += accum[0] + accum[1];
+
+        accum = vpadd_f32(vget_low_f32(accR1), vget_high_f32(accR1));
+        sumReal1B += accum[0] + accum[1];
+
+        accum = vpadd_f32(vget_low_f32(accI1), vget_high_f32(accI1));
+        sumImag1B += accum[0] + accum[1];
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        colCnt = numColsA & 3;
+
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+          a1 = *pIn1;
+          a1B = *pIn1B;
+
+          c1 = *pIn2;
+
+          b1 = *(pIn1 + 1U);
+          b1B = *(pIn1B + 1U);
+
+          d1 = *(pIn2 + 1U);
+
+          sumReal1 += a1 * c1;
+          sumImag1 += b1 * c1;
+
+          sumReal1B += a1B * c1;
+          sumImag1B += b1B * c1;
+
+          pIn1 += 2U;
+          pIn1B += 2U;
+          pIn2 += 2 * numColsB;
+
+          sumReal2 -= b1 * d1;
+          sumImag2 += a1 * d1;
+
+          sumReal2B -= b1B * d1;
+          sumImag2B += a1B * d1;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        sumReal1 += sumReal2;
+        sumImag1 += sumImag2;
+
+        sumReal1B += sumReal2B;
+        sumImag1B += sumImag2B;
+
+        /* Store the result in the destination buffer */
+        *px++ = sumReal1;
+        *px++ = sumImag1;
+        *pxB++ = sumReal1B;
+        *pxB++ = sumImag1B;
+
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        j++;
+        pIn2 = pSrcB->pData + 2U * j;
+
+        /* Decrement the column loop counter */
+        col--;
+      } 
+
+      /* Update the pointer pInA to point to the  starting address of the next 2 row */
+      i = i + 2*numColsB;
+      pInA = pInA + 4 * numColsA;
+
+      /* Decrement the row loop counter */
+      rowCnt--;
+    }
+
+    rowCnt = row & 1;
+    while (rowCnt > 0U)
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + 2 * i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0U;
+
+      /* Column loop */
+      while (col > 0U)
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sumReal1 = 0.0f;
+        sumImag1 = 0.0f;
+
+        sumReal2 = 0.0f;
+        sumImag2 = 0.0f;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pIn1 = pInA;
+
+        accR0 = vdupq_n_f32(0.0);
+        accI0 = vdupq_n_f32(0.0);
+
+        /* Compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2;
+
+        /* Matrix multiplication */
+        while (colCnt > 0U)
+        {
+          /* Reading real part of complex matrix A */
+          a0V = vld2q_f32(pIn1);  // load & separate real/imag pSrcA (de-interleave 2)
+          pIn1 += 8;
+
+          tempR[0] = *pIn2;
+          tempI[0] = *(pIn2 + 1U);
+          pIn2 += 2 * numColsB;
+
+          tempR[1] = *pIn2;
+          tempI[1] = *(pIn2 + 1U);
+          pIn2 += 2 * numColsB;
+
+          tempR[2] = *pIn2;
+          tempI[2] = *(pIn2 + 1U);
+          pIn2 += 2 * numColsB;
+
+          tempR[3] = *pIn2;
+          tempI[3] = *(pIn2 + 1U);
+          pIn2 += 2 * numColsB;
+
+          accR0 = vmlaq_f32(accR0,a0V.val[0],tempR);
+          accR0 = vmlsq_f32(accR0,a0V.val[1],tempI);
+
+          accI0 = vmlaq_f32(accI0,a0V.val[1],tempR);
+          accI0 = vmlaq_f32(accI0,a0V.val[0],tempI);
+
+          /* Decrement the loop count */
+          colCnt--;
+        }
+
+        accum = vpadd_f32(vget_low_f32(accR0), vget_high_f32(accR0));
+        sumReal1 += accum[0] + accum[1];
+
+        accum = vpadd_f32(vget_low_f32(accI0), vget_high_f32(accI0));
+        sumImag1 += accum[0] + accum[1];
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        colCnt = numColsA & 3;
+
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+          a1 = *pIn1;
+          c1 = *pIn2;
+
+          b1 = *(pIn1 + 1U);
+          d1 = *(pIn2 + 1U);
+
+          sumReal1 += a1 * c1;
+          sumImag1 += b1 * c1;
+
+          pIn1 += 2U;
+          pIn2 += 2 * numColsB;
+
+          sumReal2 -= b1 * d1;
+          sumImag2 += a1 * d1;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        sumReal1 += sumReal2;
+        sumImag1 += sumImag2;
+
+        /* Store the result in the destination buffer */
+        *px++ = sumReal1;
+        *px++ = sumImag1;
+
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        j++;
+        pIn2 = pSrcB->pData + 2U * j;
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } 
+
+      /* Update the pointer pInA to point to the  starting address of the next row */
+      i = i + numColsB;
+      pInA = pInA + 2 * numColsA;
+
+      /* Decrement the row loop counter */
+      rowCnt--;
+
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+#else
+arm_status arm_mat_cmplx_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+        arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn1 = pSrcA->pData;                /* Input data matrix pointer A */
+  float32_t *pIn2 = pSrcB->pData;                /* Input data matrix pointer B */
+  float32_t *pInA = pSrcA->pData;                /* Input data matrix pointer A */
+  float32_t *pOut = pDst->pData;                 /* Output data matrix pointer */
+  float32_t *px;                                 /* Temporary output data matrix pointer */
+  uint16_t numRowsA = pSrcA->numRows;            /* Number of rows of input matrix A */
+  uint16_t numColsB = pSrcB->numCols;            /* Number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* Number of columns of input matrix A */
+  float32_t sumReal, sumImag;                    /* Accumulator */
+  float32_t a1, b1, c1, d1;
+  uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  float32_t a0, b0, c0, d0;
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numCols != pSrcB->numRows) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcB->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + 2 * i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0U;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sumReal = 0.0f;
+        sumImag = 0.0f;
+
+        /* Initiate pointer pIn1 to point to starting address of column being processed */
+        pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2U;
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+
+          /* Reading real part of complex matrix A */
+          a0 = *pIn1;
+
+          /* Reading real part of complex matrix B */
+          c0 = *pIn2;
+
+          /* Reading imaginary part of complex matrix A */
+          b0 = *(pIn1 + 1U);
+
+          /* Reading imaginary part of complex matrix B */
+          d0 = *(pIn2 + 1U);
+
+          /* Multiply and Accumlates */
+          sumReal += a0 * c0;
+          sumImag += b0 * c0;
+
+          /* update pointers */
+          pIn1 += 2U;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal -= b0 * d0;
+          sumImag += a0 * d0;
+
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          a1 = *(pIn1     );
+          c1 = *(pIn2     );
+          b1 = *(pIn1 + 1U);
+          d1 = *(pIn2 + 1U);
+
+          /* Multiply and Accumlates */
+          sumReal += a1 * c1;
+          sumImag += b1 * c1;
+
+          /* update pointers */
+          pIn1 += 2U;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal -= b1 * d1;
+          sumImag += a1 * d1;
+
+          a0 = *(pIn1     );
+          c0 = *(pIn2     );
+          b0 = *(pIn1 + 1U);
+          d0 = *(pIn2 + 1U);
+
+          /* Multiply and Accumlates */
+          sumReal += a0 * c0;
+          sumImag += b0 * c0;
+
+          /* update pointers */
+          pIn1 += 2U;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal -= b0 * d0;
+          sumImag += a0 * d0;
+
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+          a1 = *(pIn1     );
+          c1 = *(pIn2     );
+          b1 = *(pIn1 + 1U);
+          d1 = *(pIn2 + 1U);
+
+          /* Multiply and Accumlates */
+          sumReal += a1 * c1;
+          sumImag += b1 * c1;
+
+          /* update pointers */
+          pIn1 += 2U;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal -= b1 * d1;
+          sumImag += a1 * d1;
+
+          /* Decrement loop count */
+          colCnt--;
+        }
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        colCnt = numColsA % 0x4U;
+
+#else
+
+        /* Initialize blkCnt with number of samples */
+        colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+          a1 = *(pIn1     );
+          c1 = *(pIn2     );
+          b1 = *(pIn1 + 1U);
+          d1 = *(pIn2 + 1U);
+
+          /* Multiply and Accumlates */
+          sumReal += a1 * c1;
+          sumImag += b1 * c1;
+
+          /* update pointers */
+          pIn1 += 2U;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal -= b1 * d1;
+          sumImag += a1 * d1;
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* Store result in destination buffer */
+        *px++ = sumReal;
+        *px++ = sumImag;
+
+        /* Update pointer pIn2 to point to starting address of next column */
+        j++;
+        pIn2 = pSrcB->pData + 2U * j;
+
+        /* Decrement column loop counter */
+        col--;
+
+      } while (col > 0U);
+
+      /* Update pointer pInA to point to starting address of next row */
+      i = i + numColsB;
+      pInA = pInA + 2 * numColsA;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of MatrixMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c
new file mode 100644
index 0000000..9c417aa
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c
@@ -0,0 +1,340 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mat_mult_q15.c
+ * Description:  Q15 complex matrix multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup CmplxMatrixMult
+  @{
+ */
+
+/**
+  @brief         Q15 Complex matrix multiplication.
+  @param[in]     pSrcA      points to first input complex matrix structure
+  @param[in]     pSrcB      points to second input complex matrix structure
+  @param[out]    pDst       points to output complex matrix structure
+  @param[in]     pScratch   points to an array for storing intermediate results
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+  @par           Conditions for optimum performance
+                   Input, output and state buffers should be aligned by 32-bit
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator. The inputs to the
+                   multiplications are in 1.15 format and multiplications yield a 2.30 result.
+                   The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+                   This approach provides 33 guard bits and there is no risk of overflow. The 34.30 result is then
+                   truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format.
+ */
+
+arm_status arm_mat_cmplx_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst,
+        q15_t                   * pScratch)
+{
+        q15_t *pSrcBT = pScratch;                      /* input data matrix pointer for transpose */
+        q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A of Q15 type */
+        q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B of Q15 type */
+        q15_t *px;                                     /* Temporary output data matrix pointer */
+        uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A */
+        uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+        uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+        uint16_t numRowsB = pSrcB->numRows;            /* number of rows of input matrix A */
+        q63_t sumReal, sumImag;                        /* accumulator */
+        uint32_t col, i = 0U, row = numRowsB, colCnt;  /* Loop counters */
+        arm_status status;                             /* Status of matrix multiplication */
+
+#if defined (ARM_MATH_DSP)
+        q31_t prod1, prod2;
+        q31_t pSourceA, pSourceB;
+#else
+        q15_t a, b, c, d;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numCols != pSrcB->numRows) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcB->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Matrix transpose */
+    do
+    {
+      /* The pointer px is set to starting address of column being processed */
+      px = pSrcBT + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Apply loop unrolling and exchange the columns with row elements */
+      col = numColsB >> 2;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+         a second loop below computes the remaining 1 to 3 samples. */
+      while (col > 0U)
+      {
+        /* Read two elements from row */
+        write_q15x2 (px, read_q15x2_ia (&pInB));
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from row */
+        write_q15x2 (px, read_q15x2_ia (&pInB));
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from row */
+        write_q15x2 (px, read_q15x2_ia (&pInB));
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += numRowsB * 2;
+
+        /* Read two elements from row */
+        write_q15x2 (px, read_q15x2_ia (&pInB));
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += numRowsB * 2;
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.
+       ** No loop unrolling is used. */
+      col = numColsB % 0x4U;
+
+#else
+
+        /* Initialize blkCnt with number of samples */
+        col = numColsB;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (col > 0U)
+      {
+        /* Read two elements from row */
+        write_q15x2 (px, read_q15x2_ia (&pInB));
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += numRowsB * 2;
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      i = i + 2U;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);
+
+    /* Reset variables for usage in following multiplication process */
+    row = numRowsA;
+    i = 0U;
+    px = pDst->pData;
+
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* For every row wise process, column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */
+      pInB = pSrcBT;
+
+      /* column loop */
+      do
+      {
+        /* Set variable sum, that acts as accumulator, to zero */
+        sumReal = 0;
+        sumImag = 0;
+
+        /* Initiate pointer pInA to point to starting address of column being processed */
+        pInA = pSrcA->pData + i * 2;
+
+        /* Apply loop unrolling and compute 2 MACs simultaneously. */
+        colCnt = numColsA >> 1U;
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+#if defined (ARM_MATH_DSP)
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          pSourceA = read_q15x2_ia ((q15_t **) &pInA);
+          pSourceB = read_q15x2_ia ((q15_t **) &pInB);
+
+          /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+          prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+          prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+          prod2 = __SMUADX(pSourceA, pSourceB);
+          sumReal += (q63_t) prod1;
+          sumImag += (q63_t) prod2;
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          pSourceA = read_q15x2_ia ((q15_t **) &pInA);
+          pSourceB = read_q15x2_ia ((q15_t **) &pInB);
+
+          /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+          prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+          prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+          prod2 = __SMUADX(pSourceA, pSourceB);
+          sumReal += (q63_t) prod1;
+          sumImag += (q63_t) prod2;
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+          /* read real and imag values from pSrcA buffer */
+          a = *pInA;
+          b = *(pInA + 1U);
+          /* read real and imag values from pSrcB buffer */
+          c = *pInB;
+          d = *(pInB + 1U);
+
+          /* Multiply and Accumlates */
+          sumReal += (q31_t) a *c;
+          sumImag += (q31_t) a *d;
+          sumReal -= (q31_t) b *d;
+          sumImag += (q31_t) b *c;
+
+          /* read next real and imag values from pSrcA buffer */
+          a = *(pInA + 2U);
+          b = *(pInA + 3U);
+          /* read next real and imag values from pSrcB buffer */
+          c = *(pInB + 2U);
+          d = *(pInB + 3U);
+
+          /* update pointer */
+          pInA += 4U;
+
+          /* Multiply and Accumlates */
+          sumReal += (q31_t) a * c;
+          sumImag += (q31_t) a * d;
+          sumReal -= (q31_t) b * d;
+          sumImag += (q31_t) b * c;
+          /* update pointer */
+          pInB += 4U;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* process odd column samples */
+        if ((numColsA & 0x1U) > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+#if defined (ARM_MATH_DSP)
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          pSourceA = read_q15x2_ia ((q15_t **) &pInA);
+          pSourceB = read_q15x2_ia ((q15_t **) &pInB);
+
+          /* Multiply and Accumlates */
+#ifdef ARM_MATH_BIG_ENDIAN
+          prod1 = -__SMUSD(pSourceA, pSourceB);
+#else
+          prod1 = __SMUSD(pSourceA, pSourceB);
+#endif
+          prod2 = __SMUADX(pSourceA, pSourceB);
+          sumReal += (q63_t) prod1;
+          sumImag += (q63_t) prod2;
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          a = *pInA++;
+          b = *pInA++;
+          c = *pInB++;
+          d = *pInB++;
+
+          /* Multiply and Accumlates */
+          sumReal += (q31_t) a * c;
+          sumImag += (q31_t) a * d;
+          sumReal -= (q31_t) b * d;
+          sumImag += (q31_t) b * c;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+        }
+
+        /* Saturate and store result in destination buffer */
+        *px++ = (q15_t) (__SSAT(sumReal >> 15, 16));
+        *px++ = (q15_t) (__SSAT(sumImag >> 15, 16));
+
+        /* Decrement column loop counter */
+        col--;
+
+      } while (col > 0U);
+
+      i = i + numColsA;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c
new file mode 100644
index 0000000..0060fcb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c
@@ -0,0 +1,283 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_cmplx_mult_q31.c
+ * Description:  Floating-point matrix multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup CmplxMatrixMult
+  @{
+ */
+
+/**
+  @brief         Q31 Complex matrix multiplication.
+  @param[in]     pSrcA      points to first input complex matrix structure
+  @param[in]     pSrcB      points to second input complex matrix structure
+  @param[out]    pDst       points to output complex matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The accumulator has a 2.62 format and maintains full precision of the intermediate
+                   multiplication results but provides only a single guard bit. There is no saturation
+                   on intermediate additions. Thus, if the accumulator overflows it wraps around and
+                   distorts the result. The input signals should be scaled down to avoid intermediate
+                   overflows. The input is thus scaled down by log2(numColsA) bits
+                   to avoid overflows, as a total of numColsA additions are performed internally.
+                   The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+ */
+
+arm_status arm_mat_cmplx_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pIn1 = pSrcA->pData;                    /* Input data matrix pointer A */
+  q31_t *pIn2 = pSrcB->pData;                    /* Input data matrix pointer B */
+  q31_t *pInA = pSrcA->pData;                    /* Input data matrix pointer A */
+  q31_t *pOut = pDst->pData;                     /* Output data matrix pointer */
+  q31_t *px;                                     /* Temporary output data matrix pointer */
+  uint16_t numRowsA = pSrcA->numRows;            /* Number of rows of input matrix A */
+  uint16_t numColsB = pSrcB->numCols;            /* Number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* Number of columns of input matrix A */
+  q63_t sumReal, sumImag;                        /* Accumulator */
+  q31_t a1, b1, c1, d1;
+  uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  q31_t a0, b0, c0, d0;
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numCols != pSrcB->numRows) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcB->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + 2 * i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0U;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sumReal = 0.0;
+        sumImag = 0.0;
+
+        /* Initiate pointer pIn1 to point to starting address of column being processed */
+        pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        /* Apply loop unrolling and compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2U;
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+
+          /* Reading real part of complex matrix A */
+          a0 = *pIn1;
+
+          /* Reading real part of complex matrix B */
+          c0 = *pIn2;
+
+          /* Reading imaginary part of complex matrix A */
+          b0 = *(pIn1 + 1U);
+
+          /* Reading imaginary part of complex matrix B */
+          d0 = *(pIn2 + 1U);
+
+          /* Multiply and Accumlates */
+          sumReal += (q63_t) a0 * c0;
+          sumImag += (q63_t) b0 * c0;
+
+          /* update pointers */
+          pIn1 += 2U;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal -= (q63_t) b0 * d0;
+          sumImag += (q63_t) a0 * d0;
+
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          a1 = *(pIn1     );
+          c1 = *(pIn2     );
+          b1 = *(pIn1 + 1U);
+          d1 = *(pIn2 + 1U);
+
+          /* Multiply and Accumlates */
+          sumReal += (q63_t) a1 * c1;
+          sumImag += (q63_t) b1 * c1;
+
+          /* update pointers */
+          pIn1 += 2U;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal -= (q63_t) b1 * d1;
+          sumImag += (q63_t) a1 * d1;
+
+          a0 = *(pIn1     );
+          c0 = *(pIn2     );
+          b0 = *(pIn1 + 1U);
+          d0 = *(pIn2 + 1U);
+
+          /* Multiply and Accumlates */
+          sumReal += (q63_t) a0 * c0;
+          sumImag += (q63_t) b0 * c0;
+
+          /* update pointers */
+          pIn1 += 2U;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal -= (q63_t) b0 * d0;
+          sumImag += (q63_t) a0 * d0;
+
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+          a1 = *(pIn1     );
+          c1 = *(pIn2     );
+          b1 = *(pIn1 + 1U);
+          d1 = *(pIn2 + 1U);
+
+          /* Multiply and Accumlates */
+          sumReal += (q63_t) a1 * c1;
+          sumImag += (q63_t) b1 * c1;
+
+          /* update pointers */
+          pIn1 += 2U;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal -= (q63_t) b1 * d1;
+          sumImag += (q63_t) a1 * d1;
+
+          /* Decrement loop count */
+          colCnt--;
+        }
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        colCnt = numColsA % 0x4U;
+
+#else
+
+        /* Initialize blkCnt with number of samples */
+        colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+          a1 = *(pIn1     );
+          c1 = *(pIn2     );
+          b1 = *(pIn1 + 1U);
+          d1 = *(pIn2 + 1U);
+
+          /* Multiply and Accumlates */
+          sumReal += (q63_t) a1 * c1;
+          sumImag += (q63_t) b1 * c1;
+
+          /* update pointers */
+          pIn1 += 2U;
+          pIn2 += 2 * numColsB;
+
+          /* Multiply and Accumlates */
+          sumReal -= (q63_t) b1 * d1;
+          sumImag += (q63_t) a1 * d1;
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* Store result in destination buffer */
+        *px++ = (q31_t) clip_q63_to_q31(sumReal >> 31);
+        *px++ = (q31_t) clip_q63_to_q31(sumImag >> 31);
+
+        /* Update pointer pIn2 to point to starting address of next column */
+        j++;
+        pIn2 = pSrcB->pData + 2U * j;
+
+        /* Decrement column loop counter */
+        col--;
+
+      } while (col > 0U);
+
+      /* Update pointer pInA to point to starting address of next row */
+      i = i + numColsB;
+      pInA = pInA + 2 * numColsA;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c
new file mode 100644
index 0000000..5fcd121
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c
@@ -0,0 +1,76 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_init_f32.c
+ * Description:  Floating-point matrix initialization
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @defgroup MatrixInit Matrix Initialization
+ 
+  Initializes the underlying matrix data structure.
+  The functions set the <code>numRows</code>,
+  <code>numCols</code>, and <code>pData</code> fields
+  of the matrix data structure.
+ */
+
+/**
+  @addtogroup MatrixInit
+  @{
+ */
+
+/**
+  @brief         Floating-point matrix initialization.
+  @param[in,out] S         points to an instance of the floating-point matrix structure
+  @param[in]     nRows     number of rows in the matrix
+  @param[in]     nColumns  number of columns in the matrix
+  @param[in]     pData     points to the matrix data array
+  @return        none
+ */
+
+void arm_mat_init_f32(
+  arm_matrix_instance_f32 * S,
+  uint16_t nRows,
+  uint16_t nColumns,
+  float32_t * pData)
+{
+  /* Assign Number of Rows */
+  S->numRows = nRows;
+
+  /* Assign Number of Columns */
+  S->numCols = nColumns;
+
+  /* Assign Data pointer */
+  S->pData = pData;
+}
+
+/**
+  @} end of MatrixInit group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c
new file mode 100644
index 0000000..28d8d65
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c
@@ -0,0 +1,67 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_init_q15.c
+ * Description:  Q15 matrix initialization
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixInit
+  @{
+ */
+
+/**
+  @brief         Q15 matrix initialization.
+  @param[in,out] S         points to an instance of the floating-point matrix structure
+  @param[in]     nRows     number of rows in the matrix
+  @param[in]     nColumns  number of columns in the matrix
+  @param[in]     pData     points to the matrix data array
+  @return        none
+ */
+
+void arm_mat_init_q15(
+  arm_matrix_instance_q15 * S,
+  uint16_t nRows,
+  uint16_t nColumns,
+  q15_t * pData)
+{
+  /* Assign Number of Rows */
+  S->numRows = nRows;
+
+  /* Assign Number of Columns */
+  S->numCols = nColumns;
+
+  /* Assign Data pointer */
+  S->pData = pData;
+}
+
+/**
+  @} end of MatrixInit group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c
new file mode 100644
index 0000000..b691ede
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c
@@ -0,0 +1,72 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_init_q31.c
+ * Description:  Q31 matrix initialization
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @defgroup MatrixInit Matrix Initialization
+ 
+ */
+
+/**
+  @addtogroup MatrixInit
+  @{
+ */
+
+/**
+  @brief         Q31 matrix initialization.
+  @param[in,out] S         points to an instance of the Q31 matrix structure
+  @param[in]     nRows     number of rows in the matrix
+  @param[in]     nColumns  number of columns in the matrix
+  @param[in]     pData     points to the matrix data array
+  @return        none
+ */
+
+void arm_mat_init_q31(
+  arm_matrix_instance_q31 * S,
+  uint16_t nRows,
+  uint16_t nColumns,
+  q31_t * pData)
+{
+  /* Assign Number of Rows */
+  S->numRows = nRows;
+
+  /* Assign Number of Columns */
+  S->numCols = nColumns;
+
+  /* Assign Data pointer */
+  S->pData = pData;
+}
+
+/**
+  @} end of MatrixInit group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c
new file mode 100644
index 0000000..df84b4d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c
@@ -0,0 +1,1127 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_inverse_f32.c
+ * Description:  Floating-point matrix inverse
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @defgroup MatrixInv Matrix Inverse
+
+  Computes the inverse of a matrix.
+
+  The inverse is defined only if the input matrix is square and non-singular (the determinant is non-zero).
+  The function checks that the input and output matrices are square and of the same size.
+
+  Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix
+  inversion of floating-point matrices.
+
+  @par Algorithm
+  The Gauss-Jordan method is used to find the inverse.
+  The algorithm performs a sequence of elementary row-operations until it
+  reduces the input matrix to an identity matrix. Applying the same sequence
+  of elementary row-operations to an identity matrix yields the inverse matrix.
+  If the input matrix is singular, then the algorithm terminates and returns error status
+  <code>ARM_MATH_SINGULAR</code>.
+  \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method"
+ */
+
+/**
+  @addtogroup MatrixInv
+  @{
+ */
+
+/**
+  @brief         Floating-point matrix inverse.
+  @param[in]     pSrc      points to input matrix structure
+  @param[out]    pDst      points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+                   - \ref ARM_MATH_SINGULAR      : Input matrix is found to be singular (non-invertible)
+ */
+#if defined(ARM_MATH_NEON)
+arm_status arm_mat_inverse_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float32_t *pInT1, *pInT2;                      /* Temporary input data matrix pointer */
+  float32_t *pOutT1, *pOutT2;                    /* Temporary output data matrix pointer */
+  float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst;  /* Temporary input and output data matrix pointer */
+  uint32_t numRows = pSrc->numRows;              /* Number of rows in the matrix  */
+  uint32_t numCols = pSrc->numCols;              /* Number of Cols in the matrix  */
+
+  float32_t maxC;                                /* maximum value in the column */
+
+  float32_t Xchg, in = 0.0f, in1;                /* Temporary input values  */
+  uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l;      /* loop counters */
+  arm_status status;                             /* status of matrix inverse */
+  float32x4_t vec1;
+  float32x4_t vec2;
+  float32x4_t tmpV;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols)
+     || (pSrc->numRows != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+   /*--------------------------------------------------------------------------------------------------------------
+   * Matrix Inverse can be solved using elementary row operations.
+   *
+   *  Gauss-Jordan Method:
+   *
+   *     1. First combine the identity matrix and the input matrix separated by a bar to form an
+   *        augmented matrix as follows:
+   *              _                  _         _         _
+   *             |  a11  a12 | 1   0  |       |  X11 X12  |
+   *             |           |        |   =   |           |
+   *             |_ a21  a22 | 0   1 _|       |_ X21 X21 _|
+   *
+   *    2. In our implementation, pDst Matrix is used as identity matrix.
+   *
+   *    3. Begin with the first row. Let i = 1.
+   *
+   *      4. Check to see if the pivot for column i is the greatest of the column.
+   *       The pivot is the element of the main diagonal that is on the current row.
+   *       For instance, if working with row i, then the pivot element is aii.
+   *       If the pivot is not the most significant of the columns, exchange that row with a row
+   *       below it that does contain the most significant value in column i. If the most
+   *         significant value of the column is zero, then an inverse to that matrix does not exist.
+   *       The most significant value of the column is the absolute maximum.
+   *
+   *      5. Divide every element of row i by the pivot.
+   *
+   *      6. For every row below and  row i, replace that row with the sum of that row and
+   *       a multiple of row i so that each new element in column i below row i is zero.
+   *
+   *      7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+   *       for every element below and above the main diagonal.
+   *
+   *    8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).
+   *       Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).
+   *----------------------------------------------------------------------------------------------------------------*/
+
+    /* Working pointer for destination matrix */
+    pOutT1 = pOut;
+
+    /* Loop over the number of rows */
+    rowCnt = numRows;
+
+    /* Making the destination matrix as identity matrix */
+    while (rowCnt > 0U)
+    {
+      /* Writing all zeroes in lower triangle of the destination matrix */
+      j = numRows - rowCnt;
+      while (j > 0U)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Writing all ones in the diagonal of the destination matrix */
+      *pOutT1++ = 1.0f;
+
+      /* Writing all zeroes in upper triangle of the destination matrix */
+      j = rowCnt - 1U;
+
+      while (j > 0U)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Decrement the loop counter */
+      rowCnt--;
+    }
+
+    /* Loop over the number of columns of the input matrix.
+       All the elements in each column are processed by the row operations */
+    loopCnt = numCols;
+
+    /* Index modifier to navigate through the columns */
+    l = 0U;
+
+    while (loopCnt > 0U)
+    {
+      /* Check if the pivot element is zero..
+       * If it is zero then interchange the row with non zero row below.
+       * If there is no non zero element to replace in the rows below,
+       * then the matrix is Singular. */
+
+      /* Working pointer for the input matrix that points
+       * to the pivot element of the particular row  */
+      pInT1 = pIn + (l * numCols);
+
+      /* Working pointer for the destination matrix that points
+       * to the pivot element of the particular row  */
+      pOutT1 = pOut + (l * numCols);
+
+      /* Temporary variable to hold the pivot value */
+      in = *pInT1;
+
+      /* Grab the most significant value from column l */
+      maxC = 0;
+
+      for (i = l; i < numRows; i++)
+      {
+        maxC = *pInT1 > 0 ? (*pInT1 > maxC ? *pInT1 : maxC) : (-*pInT1 > maxC ? -*pInT1 : maxC);
+        pInT1 += numCols;
+      }
+
+      /* Update the status if the matrix is singular */
+      if (maxC == 0.0f)
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Restore pInT1 */
+      pInT1 = pIn;
+
+      /* Destination pointer modifier */
+      k = 1U;
+
+      /* Check if the pivot element is the most significant of the column */
+      if ( (in > 0.0f ? in : -in) != maxC)
+      {
+        /* Loop over the number rows present below */
+        i = numRows - (l + 1U);
+
+        while (i > 0U)
+        {
+          /* Update the input and destination pointers */
+          pInT2 = pInT1 + (numCols * l);
+          pOutT2 = pOutT1 + (numCols * k);
+
+          /* Look for the most significant element to
+           * replace in the rows below */
+          if ((*pInT2 > 0.0f ? *pInT2: -*pInT2) == maxC)
+          {
+            /* Loop over number of columns
+             * to the right of the pilot element */
+            j = numCols - l;
+
+            while (j > 0U)
+            {
+              /* Exchange the row elements of the input matrix */
+              Xchg = *pInT2;
+              *pInT2++ = *pInT1;
+              *pInT1++ = Xchg;
+
+              /* Decrement the loop counter */
+              j--;
+            }
+
+            /* Loop over number of columns of the destination matrix */
+            j = numCols;
+
+            while (j > 0U)
+            {
+              /* Exchange the row elements of the destination matrix */
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
+
+              /* Decrement the loop counter */
+              j--;
+            }
+
+            /* Flag to indicate whether exchange is done or not */
+            flag = 1U;
+
+            /* Break after exchange is done */
+            break;
+          }
+
+          /* Update the destination pointer modifier */
+          k++;
+
+          /* Decrement the loop counter */
+          i--;
+        }
+      }
+
+      /* Update the status if the matrix is singular */
+      if ((flag != 1U) && (in == 0.0f))
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Points to the pivot row of input and destination matrices */
+      pPivotRowIn = pIn + (l * numCols);
+      pPivotRowDst = pOut + (l * numCols);
+
+      /* Temporary pointers to the pivot row pointers */
+      pInT1 = pPivotRowIn;
+      pInT2 = pPivotRowDst;
+
+      /* Pivot element of the row */
+      in = *pPivotRowIn;
+      tmpV = vdupq_n_f32(1.0/in);
+
+      /* Loop over number of columns
+       * to the right of the pilot element */
+      j = (numCols - l) >> 2;
+
+      while (j > 0U)
+      {
+        /* Divide each element of the row of the input matrix
+         * by the pivot element */
+        vec1 = vld1q_f32(pInT1);
+
+        vec1 = vmulq_f32(vec1, tmpV);
+        vst1q_f32(pInT1, vec1);
+        pInT1 += 4;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Tail */
+      j = (numCols - l) & 3;
+
+      while (j > 0U)
+      {
+        /* Divide each element of the row of the input matrix
+         * by the pivot element */
+        in1 = *pInT1;
+        *pInT1++ = in1 / in;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Loop over number of columns of the destination matrix */
+      j = numCols >> 2;
+
+      while (j > 0U)
+      {
+        /* Divide each element of the row of the destination matrix
+         * by the pivot element */
+        vec1 = vld1q_f32(pInT2);
+
+        vec1 = vmulq_f32(vec1, tmpV);
+        vst1q_f32(pInT2, vec1);
+        pInT2 += 4;
+      
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Tail */
+      j = numCols & 3;
+
+      while (j > 0U)
+      {
+        /* Divide each element of the row of the destination matrix
+         * by the pivot element */
+        in1 = *pInT2;
+        *pInT2++ = in1 / in;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Replace the rows with the sum of that row and a multiple of row i
+       * so that each new element in column i above row i is zero.*/
+
+      /* Temporary pointers for input and destination matrices */
+      pInT1 = pIn;
+      pInT2 = pOut;
+
+      /* index used to check for pivot element */
+      i = 0U;
+
+      /* Loop over number of rows */
+      /*  to be replaced by the sum of that row and a multiple of row i */
+      k = numRows;
+
+      while (k > 0U)
+      {
+        /* Check for the pivot element */
+        if (i == l)
+        {
+          /* If the processing element is the pivot element,
+             only the columns to the right are to be processed */
+          pInT1 += numCols - l;
+
+          pInT2 += numCols;
+        }
+        else
+        {
+          /* Element of the reference row */
+          in = *pInT1;
+          tmpV = vdupq_n_f32(in);
+
+          /* Working pointers for input and destination pivot rows */
+          pPRT_in = pPivotRowIn;
+          pPRT_pDst = pPivotRowDst;
+
+          /* Loop over the number of columns to the right of the pivot element,
+             to replace the elements in the input matrix */
+          j = (numCols - l) >> 2;
+	  
+          while (j > 0U)
+          {
+            /* Replace the element by the sum of that row
+               and a multiple of the reference row  */
+            vec1 = vld1q_f32(pInT1);
+            vec2 = vld1q_f32(pPRT_in);
+            vec1 = vmlsq_f32(vec1, tmpV, vec2);
+            vst1q_f32(pInT1, vec1);
+            pPRT_in += 4;
+            pInT1 += 4;
+
+            /* Decrement the loop counter */
+            j--;
+          }
+
+	  /* Tail */
+          j = (numCols - l) & 3;
+
+          while (j > 0U)
+          {
+            /* Replace the element by the sum of that row
+               and a multiple of the reference row  */
+            in1 = *pInT1;
+            *pInT1++ = in1 - (in * *pPRT_in++);
+
+            /* Decrement the loop counter */
+            j--;
+          }
+
+          /* Loop over the number of columns to
+             replace the elements in the destination matrix */
+          j = numCols >> 2;
+
+          while (j > 0U)
+          {
+            /* Replace the element by the sum of that row
+               and a multiple of the reference row  */
+            vec1 = vld1q_f32(pInT2);
+            vec2 = vld1q_f32(pPRT_pDst);
+            vec1 = vmlsq_f32(vec1, tmpV, vec2);
+            vst1q_f32(pInT2, vec1);
+            pPRT_pDst += 4;
+            pInT2 += 4;
+
+            /* Decrement the loop counter */
+            j--;
+          }
+
+	  /* Tail */
+          j = numCols & 3;
+
+          while (j > 0U)
+          {
+            /* Replace the element by the sum of that row
+               and a multiple of the reference row  */
+            in1 = *pInT2;
+            *pInT2++ = in1 - (in * *pPRT_pDst++);
+
+            /* Decrement the loop counter */
+            j--;
+          }
+
+        }
+
+        /* Increment the temporary input pointer */
+        pInT1 = pInT1 + l;
+
+        /* Decrement the loop counter */
+        k--;
+
+        /* Increment the pivot index */
+        i++;
+      }
+
+      /* Increment the input pointer */
+      pIn++;
+
+      /* Decrement the loop counter */
+      loopCnt--;
+
+      /* Increment the index modifier */
+      l++;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+
+    if ((flag != 1U) && (in == 0.0f))
+    {
+      pIn = pSrc->pData;
+      for (i = 0; i < numRows * numCols; i++)
+      {
+        if (pIn[i] != 0.0f)
+            break;
+      }
+
+      if (i == numRows * numCols)
+        status = ARM_MATH_SINGULAR;
+    }
+  }
+  /* Return to application */
+  return (status);
+}
+#else
+arm_status arm_mat_inverse_f32(
+  const arm_matrix_instance_f32 * pSrc,
+        arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float32_t *pInT1, *pInT2;                      /* Temporary input data matrix pointer */
+  float32_t *pOutT1, *pOutT2;                    /* Temporary output data matrix pointer */
+  float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst;  /* Temporary input and output data matrix pointer */
+  uint32_t numRows = pSrc->numRows;              /* Number of rows in the matrix  */
+  uint32_t numCols = pSrc->numCols;              /* Number of Cols in the matrix  */
+
+#if defined (ARM_MATH_DSP)
+  float32_t maxC;                                /* maximum value in the column */
+
+  float32_t Xchg, in = 0.0f, in1;                /* Temporary input values  */
+  uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l;      /* loop counters */
+  arm_status status;                             /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pSrc->numCols) ||
+      (pDst->numRows != pDst->numCols) ||
+      (pSrc->numRows != pDst->numRows)   )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+
+    /*--------------------------------------------------------------------------------------------------------------
+     * Matrix Inverse can be solved using elementary row operations.
+     *
+     *  Gauss-Jordan Method:
+     *
+     *      1. First combine the identity matrix and the input matrix separated by a bar to form an
+     *        augmented matrix as follows:
+     *                      _                  _         _         _
+     *                     |  a11  a12 | 1   0  |       |  X11 X12  |
+     *                     |           |        |   =   |           |
+     *                     |_ a21  a22 | 0   1 _|       |_ X21 X21 _|
+     *
+     *      2. In our implementation, pDst Matrix is used as identity matrix.
+     *
+     *      3. Begin with the first row. Let i = 1.
+     *
+     *      4. Check to see if the pivot for column i is the greatest of the column.
+     *         The pivot is the element of the main diagonal that is on the current row.
+     *         For instance, if working with row i, then the pivot element is aii.
+     *         If the pivot is not the most significant of the columns, exchange that row with a row
+     *         below it that does contain the most significant value in column i. If the most
+     *         significant value of the column is zero, then an inverse to that matrix does not exist.
+     *         The most significant value of the column is the absolute maximum.
+     *
+     *      5. Divide every element of row i by the pivot.
+     *
+     *      6. For every row below and  row i, replace that row with the sum of that row and
+     *         a multiple of row i so that each new element in column i below row i is zero.
+     *
+     *      7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+     *         for every element below and above the main diagonal.
+     *
+     *      8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).
+     *         Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).
+     *----------------------------------------------------------------------------------------------------------------*/
+
+    /* Working pointer for destination matrix */
+    pOutT1 = pOut;
+
+    /* Loop over the number of rows */
+    rowCnt = numRows;
+
+    /* Making the destination matrix as identity matrix */
+    while (rowCnt > 0U)
+    {
+      /* Writing all zeroes in lower triangle of the destination matrix */
+      j = numRows - rowCnt;
+      while (j > 0U)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Writing all ones in the diagonal of the destination matrix */
+      *pOutT1++ = 1.0f;
+
+      /* Writing all zeroes in upper triangle of the destination matrix */
+      j = rowCnt - 1U;
+      while (j > 0U)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Decrement loop counter */
+      rowCnt--;
+    }
+
+    /* Loop over the number of columns of the input matrix.
+       All the elements in each column are processed by the row operations */
+    loopCnt = numCols;
+
+    /* Index modifier to navigate through the columns */
+    l = 0U;
+
+    while (loopCnt > 0U)
+    {
+      /* Check if the pivot element is zero..
+       * If it is zero then interchange the row with non zero row below.
+       * If there is no non zero element to replace in the rows below,
+       * then the matrix is Singular. */
+
+      /* Working pointer for the input matrix that points
+       * to the pivot element of the particular row  */
+      pInT1 = pIn + (l * numCols);
+
+      /* Working pointer for the destination matrix that points
+       * to the pivot element of the particular row  */
+      pOutT1 = pOut + (l * numCols);
+
+      /* Temporary variable to hold the pivot value */
+      in = *pInT1;
+
+      /* Grab the most significant value from column l */
+      maxC = 0;
+      for (i = l; i < numRows; i++)
+      {
+        maxC = *pInT1 > 0 ? (*pInT1 > maxC ? *pInT1 : maxC) : (-*pInT1 > maxC ? -*pInT1 : maxC);
+        pInT1 += numCols;
+      }
+
+      /* Update the status if the matrix is singular */
+      if (maxC == 0.0f)
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Restore pInT1  */
+      pInT1 = pIn;
+
+      /* Destination pointer modifier */
+      k = 1U;
+
+      /* Check if the pivot element is the most significant of the column */
+      if ( (in > 0.0f ? in : -in) != maxC)
+      {
+        /* Loop over the number rows present below */
+        i = numRows - (l + 1U);
+
+        while (i > 0U)
+        {
+          /* Update the input and destination pointers */
+          pInT2 = pInT1 + (numCols * l);
+          pOutT2 = pOutT1 + (numCols * k);
+
+          /* Look for the most significant element to
+           * replace in the rows below */
+          if ((*pInT2 > 0.0f ? *pInT2: -*pInT2) == maxC)
+          {
+            /* Loop over number of columns
+             * to the right of the pilot element */
+            j = numCols - l;
+
+            while (j > 0U)
+            {
+              /* Exchange the row elements of the input matrix */
+              Xchg = *pInT2;
+              *pInT2++ = *pInT1;
+              *pInT1++ = Xchg;
+
+              /* Decrement the loop counter */
+              j--;
+            }
+
+            /* Loop over number of columns of the destination matrix */
+            j = numCols;
+
+            while (j > 0U)
+            {
+              /* Exchange the row elements of the destination matrix */
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
+
+              /* Decrement loop counter */
+              j--;
+            }
+
+            /* Flag to indicate whether exchange is done or not */
+            flag = 1U;
+
+            /* Break after exchange is done */
+            break;
+          }
+
+          /* Update the destination pointer modifier */
+          k++;
+
+          /* Decrement loop counter */
+          i--;
+        }
+      }
+
+      /* Update the status if the matrix is singular */
+      if ((flag != 1U) && (in == 0.0f))
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Points to the pivot row of input and destination matrices */
+      pPivotRowIn = pIn + (l * numCols);
+      pPivotRowDst = pOut + (l * numCols);
+
+      /* Temporary pointers to the pivot row pointers */
+      pInT1 = pPivotRowIn;
+      pInT2 = pPivotRowDst;
+
+      /* Pivot element of the row */
+      in = *pPivotRowIn;
+
+      /* Loop over number of columns
+       * to the right of the pilot element */
+      j = (numCols - l);
+
+      while (j > 0U)
+      {
+        /* Divide each element of the row of the input matrix
+         * by the pivot element */
+        in1 = *pInT1;
+        *pInT1++ = in1 / in;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Loop over number of columns of the destination matrix */
+      j = numCols;
+
+      while (j > 0U)
+      {
+        /* Divide each element of the row of the destination matrix
+         * by the pivot element */
+        in1 = *pInT2;
+        *pInT2++ = in1 / in;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Replace the rows with the sum of that row and a multiple of row i
+       * so that each new element in column i above row i is zero.*/
+
+      /* Temporary pointers for input and destination matrices */
+      pInT1 = pIn;
+      pInT2 = pOut;
+
+      /* index used to check for pivot element */
+      i = 0U;
+
+      /* Loop over number of rows */
+      /*  to be replaced by the sum of that row and a multiple of row i */
+      k = numRows;
+
+      while (k > 0U)
+      {
+        /* Check for the pivot element */
+        if (i == l)
+        {
+          /* If the processing element is the pivot element,
+             only the columns to the right are to be processed */
+          pInT1 += numCols - l;
+
+          pInT2 += numCols;
+        }
+        else
+        {
+          /* Element of the reference row */
+          in = *pInT1;
+
+          /* Working pointers for input and destination pivot rows */
+          pPRT_in = pPivotRowIn;
+          pPRT_pDst = pPivotRowDst;
+
+          /* Loop over the number of columns to the right of the pivot element,
+             to replace the elements in the input matrix */
+          j = (numCols - l);
+
+          while (j > 0U)
+          {
+            /* Replace the element by the sum of that row
+               and a multiple of the reference row  */
+            in1 = *pInT1;
+            *pInT1++ = in1 - (in * *pPRT_in++);
+
+            /* Decrement the loop counter */
+            j--;
+          }
+
+          /* Loop over the number of columns to
+             replace the elements in the destination matrix */
+          j = numCols;
+
+          while (j > 0U)
+          {
+            /* Replace the element by the sum of that row
+               and a multiple of the reference row  */
+            in1 = *pInT2;
+            *pInT2++ = in1 - (in * *pPRT_pDst++);
+
+            /* Decrement loop counter */
+            j--;
+          }
+
+        }
+
+        /* Increment temporary input pointer */
+        pInT1 = pInT1 + l;
+
+        /* Decrement loop counter */
+        k--;
+
+        /* Increment pivot index */
+        i++;
+      }
+
+      /* Increment the input pointer */
+      pIn++;
+
+      /* Decrement the loop counter */
+      loopCnt--;
+
+      /* Increment the index modifier */
+      l++;
+    }
+
+
+#else
+
+  float32_t Xchg, in = 0.0f;                     /* Temporary input values  */
+  uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l;      /* loop counters */
+  arm_status status;                             /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pSrc->numCols) ||
+      (pDst->numRows != pDst->numCols) ||
+      (pSrc->numRows != pDst->numRows)   )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+
+    /*--------------------------------------------------------------------------------------------------------------
+     * Matrix Inverse can be solved using elementary row operations.
+     *
+     *  Gauss-Jordan Method:
+     *
+     *      1. First combine the identity matrix and the input matrix separated by a bar to form an
+     *        augmented matrix as follows:
+     *                      _  _          _     _      _   _         _         _
+     *                     |  |  a11  a12  | | | 1   0  |   |       |  X11 X12  |
+     *                     |  |            | | |        |   |   =   |           |
+     *                     |_ |_ a21  a22 _| | |_0   1 _|  _|       |_ X21 X21 _|
+     *
+     *      2. In our implementation, pDst Matrix is used as identity matrix.
+     *
+     *      3. Begin with the first row. Let i = 1.
+     *
+     *      4. Check to see if the pivot for row i is zero.
+     *         The pivot is the element of the main diagonal that is on the current row.
+     *         For instance, if working with row i, then the pivot element is aii.
+     *         If the pivot is zero, exchange that row with a row below it that does not
+     *         contain a zero in column i. If this is not possible, then an inverse
+     *         to that matrix does not exist.
+     *
+     *      5. Divide every element of row i by the pivot.
+     *
+     *      6. For every row below and  row i, replace that row with the sum of that row and
+     *         a multiple of row i so that each new element in column i below row i is zero.
+     *
+     *      7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+     *         for every element below and above the main diagonal.
+     *
+     *      8. Now an identical matrix is formed to the left of the bar(input matrix, src).
+     *         Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).
+     *----------------------------------------------------------------------------------------------------------------*/
+
+    /* Working pointer for destination matrix */
+    pOutT1 = pOut;
+
+    /* Loop over the number of rows */
+    rowCnt = numRows;
+
+    /* Making the destination matrix as identity matrix */
+    while (rowCnt > 0U)
+    {
+      /* Writing all zeroes in lower triangle of the destination matrix */
+      j = numRows - rowCnt;
+      while (j > 0U)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Writing all ones in the diagonal of the destination matrix */
+      *pOutT1++ = 1.0f;
+
+      /* Writing all zeroes in upper triangle of the destination matrix */
+      j = rowCnt - 1U;
+      while (j > 0U)
+      {
+        *pOutT1++ = 0.0f;
+        j--;
+      }
+
+      /* Decrement loop counter */
+      rowCnt--;
+    }
+
+    /* Loop over the number of columns of the input matrix.
+       All the elements in each column are processed by the row operations */
+    loopCnt = numCols;
+
+    /* Index modifier to navigate through the columns */
+    l = 0U;
+
+    while (loopCnt > 0U)
+    {
+      /* Check if the pivot element is zero..
+       * If it is zero then interchange the row with non zero row below.
+       * If there is no non zero element to replace in the rows below,
+       * then the matrix is Singular. */
+
+      /* Working pointer for the input matrix that points
+       * to the pivot element of the particular row  */
+      pInT1 = pIn + (l * numCols);
+
+      /* Working pointer for the destination matrix that points
+       * to the pivot element of the particular row  */
+      pOutT1 = pOut + (l * numCols);
+
+      /* Temporary variable to hold the pivot value */
+      in = *pInT1;
+
+      /* Destination pointer modifier */
+      k = 1U;
+
+      /* Check if the pivot element is zero */
+      if (*pInT1 == 0.0f)
+      {
+        /* Loop over the number rows present below */
+        for (i = (l + 1U); i < numRows; i++)
+        {
+          /* Update the input and destination pointers */
+          pInT2 = pInT1 + (numCols * l);
+          pOutT2 = pOutT1 + (numCols * k);
+
+          /* Check if there is a non zero pivot element to
+           * replace in the rows below */
+          if (*pInT2 != 0.0f)
+          {
+            /* Loop over number of columns
+             * to the right of the pilot element */
+            for (j = 0U; j < (numCols - l); j++)
+            {
+              /* Exchange the row elements of the input matrix */
+              Xchg = *pInT2;
+              *pInT2++ = *pInT1;
+              *pInT1++ = Xchg;
+            }
+
+            for (j = 0U; j < numCols; j++)
+            {
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
+            }
+
+            /* Flag to indicate whether exchange is done or not */
+            flag = 1U;
+
+            /* Break after exchange is done */
+            break;
+          }
+
+          /* Update the destination pointer modifier */
+          k++;
+        }
+      }
+
+      /* Update the status if the matrix is singular */
+      if ((flag != 1U) && (in == 0.0f))
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Points to the pivot row of input and destination matrices */
+      pPivotRowIn = pIn + (l * numCols);
+      pPivotRowDst = pOut + (l * numCols);
+
+      /* Temporary pointers to the pivot row pointers */
+      pInT1 = pPivotRowIn;
+      pOutT1 = pPivotRowDst;
+
+      /* Pivot element of the row */
+      in = *(pIn + (l * numCols));
+
+      /* Loop over number of columns
+       * to the right of the pilot element */
+      for (j = 0U; j < (numCols - l); j++)
+      {
+        /* Divide each element of the row of the input matrix
+         * by the pivot element */
+        *pInT1 = *pInT1 / in;
+        pInT1++;
+      }
+      for (j = 0U; j < numCols; j++)
+      {
+        /* Divide each element of the row of the destination matrix
+         * by the pivot element */
+        *pOutT1 = *pOutT1 / in;
+        pOutT1++;
+      }
+
+      /* Replace the rows with the sum of that row and a multiple of row i
+       * so that each new element in column i above row i is zero.*/
+
+      /* Temporary pointers for input and destination matrices */
+      pInT1 = pIn;
+      pOutT1 = pOut;
+
+      for (i = 0U; i < numRows; i++)
+      {
+        /* Check for the pivot element */
+        if (i == l)
+        {
+          /* If the processing element is the pivot element,
+             only the columns to the right are to be processed */
+          pInT1 += numCols - l;
+          pOutT1 += numCols;
+        }
+        else
+        {
+          /* Element of the reference row */
+          in = *pInT1;
+
+          /* Working pointers for input and destination pivot rows */
+          pPRT_in = pPivotRowIn;
+          pPRT_pDst = pPivotRowDst;
+
+          /* Loop over the number of columns to the right of the pivot element,
+             to replace the elements in the input matrix */
+          for (j = 0U; j < (numCols - l); j++)
+          {
+            /* Replace the element by the sum of that row
+               and a multiple of the reference row  */
+            *pInT1 = *pInT1 - (in * *pPRT_in++);
+            pInT1++;
+          }
+
+          /* Loop over the number of columns to
+             replace the elements in the destination matrix */
+          for (j = 0U; j < numCols; j++)
+          {
+            /* Replace the element by the sum of that row
+               and a multiple of the reference row  */
+            *pOutT1 = *pOutT1 - (in * *pPRT_pDst++);
+            pOutT1++;
+          }
+
+        }
+
+        /* Increment temporary input pointer */
+        pInT1 = pInT1 + l;
+      }
+
+      /* Increment the input pointer */
+      pIn++;
+
+      /* Decrement the loop counter */
+      loopCnt--;
+
+      /* Increment the index modifier */
+      l++;
+    }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+
+    if ((flag != 1U) && (in == 0.0f))
+    {
+      pIn = pSrc->pData;
+      for (i = 0; i < numRows * numCols; i++)
+      {
+        if (pIn[i] != 0.0f)
+            break;
+      }
+
+      if (i == numRows * numCols)
+        status = ARM_MATH_SINGULAR;
+    }
+  }
+
+  /* Return to application */
+  return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of MatrixInv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c
new file mode 100644
index 0000000..17390c8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c
@@ -0,0 +1,673 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_inverse_f64.c
+ * Description:  Floating-point matrix inverse
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+
+/**
+  @addtogroup MatrixInv
+  @{
+ */
+
+/**
+  @brief         Floating-point (64 bit) matrix inverse.
+  @param[in]     pSrc      points to input matrix structure
+  @param[out]    pDst      points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+                   - \ref ARM_MATH_SINGULAR      : Input matrix is found to be singular (non-invertible)
+ */
+
+arm_status arm_mat_inverse_f64(
+  const arm_matrix_instance_f64 * pSrc,
+        arm_matrix_instance_f64 * pDst)
+{
+  float64_t *pIn = pSrc->pData;                  /* input data matrix pointer */
+  float64_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float64_t *pInT1, *pInT2;                      /* Temporary input data matrix pointer */
+  float64_t *pOutT1, *pOutT2;                    /* Temporary output data matrix pointer */
+  float64_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst;  /* Temporary input and output data matrix pointer */
+  uint32_t numRows = pSrc->numRows;              /* Number of rows in the matrix  */
+  uint32_t numCols = pSrc->numCols;              /* Number of Cols in the matrix  */
+
+#if defined (ARM_MATH_DSP)
+  float64_t maxC;                                /* maximum value in the column */
+
+  float64_t Xchg, in = 0.0, in1;                /* Temporary input values  */
+  uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l;      /* loop counters */
+  arm_status status;                             /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pSrc->numCols) ||
+      (pDst->numRows != pDst->numCols) ||
+      (pSrc->numRows != pDst->numRows)   )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+
+    /*--------------------------------------------------------------------------------------------------------------
+     * Matrix Inverse can be solved using elementary row operations.
+     *
+     *  Gauss-Jordan Method:
+     *
+     *      1. First combine the identity matrix and the input matrix separated by a bar to form an
+     *        augmented matrix as follows:
+     *                      _                  _         _         _
+     *                     |  a11  a12 | 1   0  |       |  X11 X12  |
+     *                     |           |        |   =   |           |
+     *                     |_ a21  a22 | 0   1 _|       |_ X21 X21 _|
+     *
+     *      2. In our implementation, pDst Matrix is used as identity matrix.
+     *
+     *      3. Begin with the first row. Let i = 1.
+     *
+     *      4. Check to see if the pivot for column i is the greatest of the column.
+     *         The pivot is the element of the main diagonal that is on the current row.
+     *         For instance, if working with row i, then the pivot element is aii.
+     *         If the pivot is not the most significant of the columns, exchange that row with a row
+     *         below it that does contain the most significant value in column i. If the most
+     *         significant value of the column is zero, then an inverse to that matrix does not exist.
+     *         The most significant value of the column is the absolute maximum.
+     *
+     *      5. Divide every element of row i by the pivot.
+     *
+     *      6. For every row below and  row i, replace that row with the sum of that row and
+     *         a multiple of row i so that each new element in column i below row i is zero.
+     *
+     *      7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+     *         for every element below and above the main diagonal.
+     *
+     *      8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc).
+     *         Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst).
+     *----------------------------------------------------------------------------------------------------------------*/
+
+    /* Working pointer for destination matrix */
+    pOutT1 = pOut;
+
+    /* Loop over the number of rows */
+    rowCnt = numRows;
+
+    /* Making the destination matrix as identity matrix */
+    while (rowCnt > 0U)
+    {
+      /* Writing all zeroes in lower triangle of the destination matrix */
+      j = numRows - rowCnt;
+      while (j > 0U)
+      {
+        *pOutT1++ = 0.0;
+        j--;
+      }
+
+      /* Writing all ones in the diagonal of the destination matrix */
+      *pOutT1++ = 1.0;
+
+      /* Writing all zeroes in upper triangle of the destination matrix */
+      j = rowCnt - 1U;
+      while (j > 0U)
+      {
+        *pOutT1++ = 0.0;
+        j--;
+      }
+
+      /* Decrement loop counter */
+      rowCnt--;
+    }
+
+    /* Loop over the number of columns of the input matrix.
+       All the elements in each column are processed by the row operations */
+    loopCnt = numCols;
+
+    /* Index modifier to navigate through the columns */
+    l = 0U;
+
+    while (loopCnt > 0U)
+    {
+      /* Check if the pivot element is zero..
+       * If it is zero then interchange the row with non zero row below.
+       * If there is no non zero element to replace in the rows below,
+       * then the matrix is Singular. */
+
+      /* Working pointer for the input matrix that points
+       * to the pivot element of the particular row  */
+      pInT1 = pIn + (l * numCols);
+
+      /* Working pointer for the destination matrix that points
+       * to the pivot element of the particular row  */
+      pOutT1 = pOut + (l * numCols);
+
+      /* Temporary variable to hold the pivot value */
+      in = *pInT1;
+
+      /* Grab the most significant value from column l */
+      maxC = 0;
+      for (i = l; i < numRows; i++)
+      {
+        maxC = *pInT1 > 0 ? (*pInT1 > maxC ? *pInT1 : maxC) : (-*pInT1 > maxC ? -*pInT1 : maxC);
+        pInT1 += numCols;
+      }
+
+      /* Update the status if the matrix is singular */
+      if (maxC == 0.0)
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Restore pInT1  */
+      pInT1 = pIn;
+
+      /* Destination pointer modifier */
+      k = 1U;
+
+      /* Check if the pivot element is the most significant of the column */
+      if ( (in > 0.0 ? in : -in) != maxC)
+      {
+        /* Loop over the number rows present below */
+        i = numRows - (l + 1U);
+
+        while (i > 0U)
+        {
+          /* Update the input and destination pointers */
+          pInT2 = pInT1 + (numCols * l);
+          pOutT2 = pOutT1 + (numCols * k);
+
+          /* Look for the most significant element to
+           * replace in the rows below */
+          if ((*pInT2 > 0.0 ? *pInT2: -*pInT2) == maxC)
+          {
+            /* Loop over number of columns
+             * to the right of the pilot element */
+            j = numCols - l;
+
+            while (j > 0U)
+            {
+              /* Exchange the row elements of the input matrix */
+              Xchg = *pInT2;
+              *pInT2++ = *pInT1;
+              *pInT1++ = Xchg;
+
+              /* Decrement the loop counter */
+              j--;
+            }
+
+            /* Loop over number of columns of the destination matrix */
+            j = numCols;
+
+            while (j > 0U)
+            {
+              /* Exchange the row elements of the destination matrix */
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
+
+              /* Decrement loop counter */
+              j--;
+            }
+
+            /* Flag to indicate whether exchange is done or not */
+            flag = 1U;
+
+            /* Break after exchange is done */
+            break;
+          }
+
+          /* Update the destination pointer modifier */
+          k++;
+
+          /* Decrement loop counter */
+          i--;
+        }
+      }
+
+      /* Update the status if the matrix is singular */
+      if ((flag != 1U) && (in == 0.0))
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Points to the pivot row of input and destination matrices */
+      pPivotRowIn = pIn + (l * numCols);
+      pPivotRowDst = pOut + (l * numCols);
+
+      /* Temporary pointers to the pivot row pointers */
+      pInT1 = pPivotRowIn;
+      pInT2 = pPivotRowDst;
+
+      /* Pivot element of the row */
+      in = *pPivotRowIn;
+
+      /* Loop over number of columns
+       * to the right of the pilot element */
+      j = (numCols - l);
+
+      while (j > 0U)
+      {
+        /* Divide each element of the row of the input matrix
+         * by the pivot element */
+        in1 = *pInT1;
+        *pInT1++ = in1 / in;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Loop over number of columns of the destination matrix */
+      j = numCols;
+
+      while (j > 0U)
+      {
+        /* Divide each element of the row of the destination matrix
+         * by the pivot element */
+        in1 = *pInT2;
+        *pInT2++ = in1 / in;
+
+        /* Decrement the loop counter */
+        j--;
+      }
+
+      /* Replace the rows with the sum of that row and a multiple of row i
+       * so that each new element in column i above row i is zero.*/
+
+      /* Temporary pointers for input and destination matrices */
+      pInT1 = pIn;
+      pInT2 = pOut;
+
+      /* index used to check for pivot element */
+      i = 0U;
+
+      /* Loop over number of rows */
+      /*  to be replaced by the sum of that row and a multiple of row i */
+      k = numRows;
+
+      while (k > 0U)
+      {
+        /* Check for the pivot element */
+        if (i == l)
+        {
+          /* If the processing element is the pivot element,
+             only the columns to the right are to be processed */
+          pInT1 += numCols - l;
+
+          pInT2 += numCols;
+        }
+        else
+        {
+          /* Element of the reference row */
+          in = *pInT1;
+
+          /* Working pointers for input and destination pivot rows */
+          pPRT_in = pPivotRowIn;
+          pPRT_pDst = pPivotRowDst;
+
+          /* Loop over the number of columns to the right of the pivot element,
+             to replace the elements in the input matrix */
+          j = (numCols - l);
+
+          while (j > 0U)
+          {
+            /* Replace the element by the sum of that row
+               and a multiple of the reference row  */
+            in1 = *pInT1;
+            *pInT1++ = in1 - (in * *pPRT_in++);
+
+            /* Decrement the loop counter */
+            j--;
+          }
+
+          /* Loop over the number of columns to
+             replace the elements in the destination matrix */
+          j = numCols;
+
+          while (j > 0U)
+          {
+            /* Replace the element by the sum of that row
+               and a multiple of the reference row  */
+            in1 = *pInT2;
+            *pInT2++ = in1 - (in * *pPRT_pDst++);
+
+            /* Decrement loop counter */
+            j--;
+          }
+
+        }
+
+        /* Increment temporary input pointer */
+        pInT1 = pInT1 + l;
+
+        /* Decrement loop counter */
+        k--;
+
+        /* Increment pivot index */
+        i++;
+      }
+
+      /* Increment the input pointer */
+      pIn++;
+
+      /* Decrement the loop counter */
+      loopCnt--;
+
+      /* Increment the index modifier */
+      l++;
+    }
+
+
+#else
+
+  float64_t Xchg, in = 0.0;                     /* Temporary input values  */
+  uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l;      /* loop counters */
+  arm_status status;                             /* status of matrix inverse */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pSrc->numCols) ||
+      (pDst->numRows != pDst->numCols) ||
+      (pSrc->numRows != pDst->numRows)   )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+
+    /*--------------------------------------------------------------------------------------------------------------
+     * Matrix Inverse can be solved using elementary row operations.
+     *
+     *  Gauss-Jordan Method:
+     *
+     *      1. First combine the identity matrix and the input matrix separated by a bar to form an
+     *        augmented matrix as follows:
+     *                      _  _          _     _      _   _         _         _
+     *                     |  |  a11  a12  | | | 1   0  |   |       |  X11 X12  |
+     *                     |  |            | | |        |   |   =   |           |
+     *                     |_ |_ a21  a22 _| | |_0   1 _|  _|       |_ X21 X21 _|
+     *
+     *      2. In our implementation, pDst Matrix is used as identity matrix.
+     *
+     *      3. Begin with the first row. Let i = 1.
+     *
+     *      4. Check to see if the pivot for row i is zero.
+     *         The pivot is the element of the main diagonal that is on the current row.
+     *         For instance, if working with row i, then the pivot element is aii.
+     *         If the pivot is zero, exchange that row with a row below it that does not
+     *         contain a zero in column i. If this is not possible, then an inverse
+     *         to that matrix does not exist.
+     *
+     *      5. Divide every element of row i by the pivot.
+     *
+     *      6. For every row below and  row i, replace that row with the sum of that row and
+     *         a multiple of row i so that each new element in column i below row i is zero.
+     *
+     *      7. Move to the next row and column and repeat steps 2 through 5 until you have zeros
+     *         for every element below and above the main diagonal.
+     *
+     *      8. Now an identical matrix is formed to the left of the bar(input matrix, src).
+     *         Therefore, the matrix to the right of the bar is our solution(dst matrix, dst).
+     *----------------------------------------------------------------------------------------------------------------*/
+
+    /* Working pointer for destination matrix */
+    pOutT1 = pOut;
+
+    /* Loop over the number of rows */
+    rowCnt = numRows;
+
+    /* Making the destination matrix as identity matrix */
+    while (rowCnt > 0U)
+    {
+      /* Writing all zeroes in lower triangle of the destination matrix */
+      j = numRows - rowCnt;
+      while (j > 0U)
+      {
+        *pOutT1++ = 0.0;
+        j--;
+      }
+
+      /* Writing all ones in the diagonal of the destination matrix */
+      *pOutT1++ = 1.0;
+
+      /* Writing all zeroes in upper triangle of the destination matrix */
+      j = rowCnt - 1U;
+      while (j > 0U)
+      {
+        *pOutT1++ = 0.0;
+        j--;
+      }
+
+      /* Decrement loop counter */
+      rowCnt--;
+    }
+
+    /* Loop over the number of columns of the input matrix.
+       All the elements in each column are processed by the row operations */
+    loopCnt = numCols;
+
+    /* Index modifier to navigate through the columns */
+    l = 0U;
+
+    while (loopCnt > 0U)
+    {
+      /* Check if the pivot element is zero..
+       * If it is zero then interchange the row with non zero row below.
+       * If there is no non zero element to replace in the rows below,
+       * then the matrix is Singular. */
+
+      /* Working pointer for the input matrix that points
+       * to the pivot element of the particular row  */
+      pInT1 = pIn + (l * numCols);
+
+      /* Working pointer for the destination matrix that points
+       * to the pivot element of the particular row  */
+      pOutT1 = pOut + (l * numCols);
+
+      /* Temporary variable to hold the pivot value */
+      in = *pInT1;
+
+      /* Destination pointer modifier */
+      k = 1U;
+
+      /* Check if the pivot element is zero */
+      if (*pInT1 == 0.0)
+      {
+        /* Loop over the number rows present below */
+        for (i = (l + 1U); i < numRows; i++)
+        {
+          /* Update the input and destination pointers */
+          pInT2 = pInT1 + (numCols * l);
+          pOutT2 = pOutT1 + (numCols * k);
+
+          /* Check if there is a non zero pivot element to
+           * replace in the rows below */
+          if (*pInT2 != 0.0)
+          {
+            /* Loop over number of columns
+             * to the right of the pilot element */
+            for (j = 0U; j < (numCols - l); j++)
+            {
+              /* Exchange the row elements of the input matrix */
+              Xchg = *pInT2;
+              *pInT2++ = *pInT1;
+              *pInT1++ = Xchg;
+            }
+
+            for (j = 0U; j < numCols; j++)
+            {
+              Xchg = *pOutT2;
+              *pOutT2++ = *pOutT1;
+              *pOutT1++ = Xchg;
+            }
+
+            /* Flag to indicate whether exchange is done or not */
+            flag = 1U;
+
+            /* Break after exchange is done */
+            break;
+          }
+
+          /* Update the destination pointer modifier */
+          k++;
+        }
+      }
+
+      /* Update the status if the matrix is singular */
+      if ((flag != 1U) && (in == 0.0))
+      {
+        return ARM_MATH_SINGULAR;
+      }
+
+      /* Points to the pivot row of input and destination matrices */
+      pPivotRowIn = pIn + (l * numCols);
+      pPivotRowDst = pOut + (l * numCols);
+
+      /* Temporary pointers to the pivot row pointers */
+      pInT1 = pPivotRowIn;
+      pOutT1 = pPivotRowDst;
+
+      /* Pivot element of the row */
+      in = *(pIn + (l * numCols));
+
+      /* Loop over number of columns
+       * to the right of the pilot element */
+      for (j = 0U; j < (numCols - l); j++)
+      {
+        /* Divide each element of the row of the input matrix
+         * by the pivot element */
+        *pInT1 = *pInT1 / in;
+        pInT1++;
+      }
+      for (j = 0U; j < numCols; j++)
+      {
+        /* Divide each element of the row of the destination matrix
+         * by the pivot element */
+        *pOutT1 = *pOutT1 / in;
+        pOutT1++;
+      }
+
+      /* Replace the rows with the sum of that row and a multiple of row i
+       * so that each new element in column i above row i is zero.*/
+
+      /* Temporary pointers for input and destination matrices */
+      pInT1 = pIn;
+      pOutT1 = pOut;
+
+      for (i = 0U; i < numRows; i++)
+      {
+        /* Check for the pivot element */
+        if (i == l)
+        {
+          /* If the processing element is the pivot element,
+             only the columns to the right are to be processed */
+          pInT1 += numCols - l;
+          pOutT1 += numCols;
+        }
+        else
+        {
+          /* Element of the reference row */
+          in = *pInT1;
+
+          /* Working pointers for input and destination pivot rows */
+          pPRT_in = pPivotRowIn;
+          pPRT_pDst = pPivotRowDst;
+
+          /* Loop over the number of columns to the right of the pivot element,
+             to replace the elements in the input matrix */
+          for (j = 0U; j < (numCols - l); j++)
+          {
+            /* Replace the element by the sum of that row
+               and a multiple of the reference row  */
+            *pInT1 = *pInT1 - (in * *pPRT_in++);
+            pInT1++;
+          }
+
+          /* Loop over the number of columns to
+             replace the elements in the destination matrix */
+          for (j = 0U; j < numCols; j++)
+          {
+            /* Replace the element by the sum of that row
+               and a multiple of the reference row  */
+            *pOutT1 = *pOutT1 - (in * *pPRT_pDst++);
+            pOutT1++;
+          }
+
+        }
+
+        /* Increment temporary input pointer */
+        pInT1 = pInT1 + l;
+      }
+
+      /* Increment the input pointer */
+      pIn++;
+
+      /* Decrement the loop counter */
+      loopCnt--;
+
+      /* Increment the index modifier */
+      l++;
+    }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+
+    if ((flag != 1U) && (in == 0.0))
+    {
+      pIn = pSrc->pData;
+      for (i = 0; i < numRows * numCols; i++)
+      {
+        if (pIn[i] != 0.0)
+            break;
+      }
+
+      if (i == numRows * numCols)
+        status = ARM_MATH_SINGULAR;
+    }
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixInv group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c
new file mode 100644
index 0000000..35517d6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c
@@ -0,0 +1,534 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_mult_f32.c
+ * Description:  Floating-point matrix multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupMatrix
+ */
+
+/**
+ * @defgroup MatrixMult Matrix Multiplication
+ *
+ * Multiplies two matrices.
+ *
+ * \image html MatrixMultiplication.gif "Multiplication of two 3 x 3 matrices"
+
+ * Matrix multiplication is only defined if the number of columns of the
+ * first matrix equals the number of rows of the second matrix.
+ * Multiplying an <code>M x N</code> matrix with an <code>N x P</code> matrix results
+ * in an <code>M x P</code> matrix.
+ * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of
+ * <code>pSrcA</code> and <code>pSrcB</code> are equal; and (2) that the size of the output
+ * matrix equals the outer dimensions of <code>pSrcA</code> and <code>pSrcB</code>.
+ */
+
+
+/**
+ * @addtogroup MatrixMult
+ * @{
+ */
+
+/**
+ * @brief Floating-point matrix multiplication.
+ * @param[in]       *pSrcA points to the first input matrix structure
+ * @param[in]       *pSrcB points to the second input matrix structure
+ * @param[out]      *pDst points to output matrix structure
+ * @return     		The function returns either
+ * <code>ARM_MATH_SIZE_MISMATCH</code> or <code>ARM_MATH_SUCCESS</code> based on the outcome of size checking.
+ */
+#if defined(ARM_MATH_NEON)
+
+#define GROUPOFROWS 8
+
+arm_status arm_mat_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A */
+  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B */
+  float32_t *pInA = pSrcA->pData;                /* input data matrix pointer A  */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float32_t *px;                                 /* Temporary output data matrix pointer */
+  float32_t sum;                                 /* Accumulator */
+  uint16_t numRowsA = pSrcA->numRows;            /* number of rows of input matrix A */
+  uint16_t numColsB = pSrcB->numCols;            /* number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* number of columns of input matrix A */
+
+
+  float32_t in1, in2, in3, in4;
+  uint16_t col, i = 0U, j, row = numRowsA, rowCnt, colCnt;      /* loop counters */
+  arm_status status;                             /* status of matrix multiplication */
+
+  float32x4_t a0V, a1V, a2V, a3V, a4V, a5V, a6V, a7V;
+  float32x4_t acc0,acc1,acc2,acc3,acc4,acc5,acc6,acc7,temp;
+  float32x2_t accum = vdup_n_f32(0);
+  float32_t *pIn1B = pSrcA->pData;    
+  float32_t *pIn1C = pSrcA->pData;    
+  float32_t *pIn1D = pSrcA->pData;  
+  float32_t *pIn1E = pSrcA->pData; 
+  float32_t *pIn1F = pSrcA->pData; 
+  float32_t *pIn1G = pSrcA->pData; 
+  float32_t *pIn1H = pSrcA->pData;   
+
+  float32_t *pxB,*pxC, *pxD, *pxE, *pxF, *pxG, *pxH;                                 /* Temporary output data matrix pointer */
+  float32_t sum0,sum1, sum2,sum3, sum4, sum5 , sum6, sum7;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numCols != pSrcB->numRows) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*      #ifdef ARM_MATH_MATRIX_CHECK    */
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* Row loop */
+    rowCnt = row >> 3;
+
+    while(rowCnt > 0)
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + GROUPOFROWS*i;
+      pxB = px + numColsB;
+      pxC = px + 2*numColsB;
+      pxD = px + 3*numColsB;
+      pxE = px + 4*numColsB;
+      pxF = px + 5*numColsB;
+      pxG = px + 6*numColsB;
+      pxH = px + 7*numColsB;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0U;
+
+      /* Column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum0 = 0.0f;
+        sum1 = 0.0f;
+        sum2 = 0.0f;
+        sum3 = 0.0f;
+        sum4 = 0.0f;
+        sum5 = 0.0f;
+        sum6 = 0.0f;
+        sum7 = 0.0f;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pIn1 = pInA;
+        pIn1B = pIn1 + numColsA;
+        pIn1C = pIn1 + 2*numColsA;
+        pIn1D = pIn1 + 3*numColsA;
+        pIn1E = pIn1 + 4*numColsA;
+        pIn1F = pIn1 + 5*numColsA;
+        pIn1G = pIn1 + 6*numColsA;
+        pIn1H = pIn1 + 7*numColsA;
+
+        acc0 = vdupq_n_f32(0.0);
+        acc1 = vdupq_n_f32(0.0);
+        acc2 = vdupq_n_f32(0.0);
+        acc3 = vdupq_n_f32(0.0);
+        acc4 = vdupq_n_f32(0.0);
+        acc5 = vdupq_n_f32(0.0);
+        acc6 = vdupq_n_f32(0.0);
+        acc7 = vdupq_n_f32(0.0);
+
+        /* Compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2U;
+
+        /* Matrix multiplication */
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+          a0V = vld1q_f32(pIn1);  
+          a1V = vld1q_f32(pIn1B);  
+          a2V = vld1q_f32(pIn1C); 
+          a3V = vld1q_f32(pIn1D); 
+          a4V = vld1q_f32(pIn1E); 
+          a5V = vld1q_f32(pIn1F); 
+          a6V = vld1q_f32(pIn1G); 
+          a7V = vld1q_f32(pIn1H); 
+
+	  pIn1 += 4;
+          pIn1B += 4;
+          pIn1C += 4;
+          pIn1D += 4;
+          pIn1E += 4;
+          pIn1F += 4;
+          pIn1G += 4;
+          pIn1H += 4;
+          
+          temp[0] = *pIn2;
+          pIn2 += numColsB;
+          temp[1] = *pIn2;
+          pIn2 += numColsB;
+          temp[2] = *pIn2;
+          pIn2 += numColsB;
+          temp[3] = *pIn2;
+          pIn2 += numColsB;
+
+          acc0 = vmlaq_f32(acc0,a0V,temp);
+          acc1 = vmlaq_f32(acc1,a1V,temp);
+          acc2 = vmlaq_f32(acc2,a2V,temp);
+          acc3 = vmlaq_f32(acc3,a3V,temp);
+          acc4 = vmlaq_f32(acc4,a4V,temp);
+          acc5 = vmlaq_f32(acc5,a5V,temp);
+          acc6 = vmlaq_f32(acc6,a6V,temp);
+          acc7 = vmlaq_f32(acc7,a7V,temp);
+
+          /* Decrement the loop count */
+          colCnt--;
+        }
+
+        accum = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0));
+        sum0 += accum[0] + accum[1];
+
+        accum = vpadd_f32(vget_low_f32(acc1), vget_high_f32(acc1));
+        sum1 += accum[0] + accum[1];
+
+        accum = vpadd_f32(vget_low_f32(acc2), vget_high_f32(acc2));
+        sum2 += accum[0] + accum[1];
+
+        accum = vpadd_f32(vget_low_f32(acc3), vget_high_f32(acc3));
+        sum3 += accum[0] + accum[1];
+
+        accum = vpadd_f32(vget_low_f32(acc4), vget_high_f32(acc4));
+        sum4 += accum[0] + accum[1];
+
+        accum = vpadd_f32(vget_low_f32(acc5), vget_high_f32(acc5));
+        sum5 += accum[0] + accum[1];
+
+        accum = vpadd_f32(vget_low_f32(acc6), vget_high_f32(acc6));
+        sum6 += accum[0] + accum[1];
+
+        accum = vpadd_f32(vget_low_f32(acc7), vget_high_f32(acc7));
+        sum7 += accum[0] + accum[1];
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        colCnt = numColsA & 3;
+
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+          sum0 += *pIn1++ * (*pIn2);
+          sum1 += *pIn1B++ * (*pIn2);
+          sum2 += *pIn1C++ * (*pIn2);
+          sum3 += *pIn1D++ * (*pIn2);
+          sum4 += *pIn1E++ * (*pIn2);
+          sum5 += *pIn1F++ * (*pIn2);
+          sum6 += *pIn1G++ * (*pIn2);
+          sum7 += *pIn1H++ * (*pIn2);
+          pIn2 += numColsB;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* Store the result in the destination buffer */
+        *px++ = sum0;
+        *pxB++ = sum1;
+        *pxC++ = sum2;
+        *pxD++ = sum3;
+        *pxE++ = sum4;
+        *pxF++ = sum5;
+        *pxG++ = sum6;
+        *pxH++ = sum7;
+
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        j++;
+        pIn2 = pSrcB->pData + j;
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while (col > 0U);
+
+      /* Update the pointer pInA to point to the  starting address of the next row */
+      i = i + numColsB;
+      pInA = pInA + GROUPOFROWS*numColsA;
+
+      /* Decrement the row loop counter */
+      rowCnt--;
+    } 
+
+    /*
+
+    i was the index of a group of rows computed by previous loop.
+    Now i is the index of a row since below code is computing row per row
+    and no more group of row per group of rows.
+
+    */
+
+    i = GROUPOFROWS*i;
+    rowCnt = row & 7;
+
+    while(rowCnt > 0)
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + i;
+
+      /* For every row wise process, the column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, the pIn2 pointer is set
+       ** to the starting address of the pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      j = 0U;
+
+      /* Column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum = 0.0f;
+
+        /* Initiate the pointer pIn1 to point to the starting address of the column being processed */
+        pIn1 = pInA;
+
+        acc0 = vdupq_n_f32(0.0);
+
+        /* Compute 4 MACs simultaneously. */
+        colCnt = numColsA >> 2U;
+
+        /* Matrix multiplication   */
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+          a0V = vld1q_f32(pIn1);  // load & separate real/imag pSrcA (de-interleave 2)
+          pIn1 += 4;
+          
+          temp[0] = *pIn2;
+          pIn2 += numColsB;
+          temp[1] = *pIn2;
+          pIn2 += numColsB;
+          temp[2] = *pIn2;
+          pIn2 += numColsB;
+          temp[3] = *pIn2;
+          pIn2 += numColsB;
+
+          acc0 = vmlaq_f32(acc0,a0V,temp);
+
+          /* Decrement the loop count */
+          colCnt--;
+        }
+
+        accum = vpadd_f32(vget_low_f32(acc0), vget_high_f32(acc0));
+        sum += accum[0] + accum[1];
+
+        /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here.
+         ** No loop unrolling is used. */
+        colCnt = numColsA % 0x4U;
+
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1)*b(1,1) + a(1,2)*b(2,1) + ... + a(m,p)*b(p,n) */
+          sum += *pIn1++ * (*pIn2);
+          pIn2 += numColsB;
+
+          /* Decrement the loop counter */
+          colCnt--;
+        }
+
+        /* Store the result in the destination buffer */
+        *px++ = sum;
+
+        /* Update the pointer pIn2 to point to the  starting address of the next column */
+        j++;
+        pIn2 = pSrcB->pData + j;
+
+        /* Decrement the column loop counter */
+        col--;
+
+      } while (col > 0U);
+
+
+      /* Update the pointer pInA to point to the  starting address of the next row */
+      i = i + numColsB;
+      pInA = pInA + numColsA;
+
+      /* Decrement the row loop counter */
+      rowCnt--;
+
+    } 
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+#else
+arm_status arm_mat_mult_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+        arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn1 = pSrcA->pData;                /* Input data matrix pointer A */
+  float32_t *pIn2 = pSrcB->pData;                /* Input data matrix pointer B */
+  float32_t *pInA = pSrcA->pData;                /* Input data matrix pointer A */
+  float32_t *pInB = pSrcB->pData;                /* Input data matrix pointer B */
+  float32_t *pOut = pDst->pData;                 /* Output data matrix pointer */
+  float32_t *px;                                 /* Temporary output data matrix pointer */
+  float32_t sum;                                 /* Accumulator */
+  uint16_t numRowsA = pSrcA->numRows;            /* Number of rows of input matrix A */
+  uint16_t numColsB = pSrcB->numCols;            /* Number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* Number of columns of input matrix A */
+  uint32_t col, i = 0U, row = numRowsA, colCnt;  /* Loop counters */
+  arm_status status;                             /* Status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numCols != pSrcB->numRows) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcB->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of row being processed */
+      px = pOut + i;
+
+      /* For every row wise process, column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum = 0.0f;
+
+        /* Initialize pointer pIn1 to point to starting address of column being processed */
+        pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        /* Loop unrolling: Compute 4 MACs at a time. */
+        colCnt = numColsA >> 2U;
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+          /* Perform the multiply-accumulates */
+          sum += *pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          sum += *pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          sum += *pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          sum += *pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* Loop unrolling: Compute remaining MACs */
+        colCnt = numColsA % 0x4U;
+
+#else
+
+        /* Initialize cntCnt with number of columns */
+        colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+          /* Perform the multiply-accumulates */
+          sum += *pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* Store result in destination buffer */
+        *px++ = sum;
+
+        /* Decrement column loop counter */
+        col--;
+
+        /* Update pointer pIn2 to point to starting address of next column */
+        pIn2 = pInB + (numColsB - col);
+
+      } while (col > 0U);
+
+      /* Update pointer pInA to point to starting address of next row */
+      i = i + numColsB;
+      pInA = pInA + numColsA;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+ * @} end of MatrixMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
new file mode 100644
index 0000000..384974e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
@@ -0,0 +1,483 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_mult_fast_q15.c
+ * Description:  Q15 matrix multiplication (fast variant)
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixMult
+  @{
+ */
+
+/**
+  @brief         Q15 matrix multiplication (fast variant).
+  @param[in]     pSrcA      points to the first input matrix structure
+  @param[in]     pSrcB      points to the second input matrix structure
+  @param[out]    pDst       points to output matrix structure
+  @param[in]     pState     points to the array for storing intermediate results
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+  @par           Scaling and Overflow Behavior
+                   The difference between the function \ref arm_mat_mult_q15() and this fast variant is that
+                   the fast variant use a 32-bit rather than a 64-bit accumulator.
+                   The result of each 1.15 x 1.15 multiplication is truncated to
+                   2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30
+                   format. Finally, the accumulator is saturated and converted to a 1.15 result.
+  @par
+                   The fast version has the same overflow behavior as the standard version but provides
+                   less precision since it discards the low 16 bits of each multiplication result.
+                   In order to avoid overflows completely the input signals must be scaled down.
+                   Scale down one of the input matrices by log2(numColsA) bits to avoid overflows,
+                   as a total of numColsA additions are computed internally for each output element.
+  @remark
+                   Refer to \ref arm_mat_mult_q15() for a slower implementation of this function
+                   which uses 64-bit accumulation to provide higher precision.
+ */
+
+arm_status arm_mat_mult_fast_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst,
+        q15_t                   * pState)
+{
+        q31_t sum;                                     /* Accumulator */
+        q15_t *pSrcBT = pState;                        /* Input data matrix pointer for transpose */
+        q15_t *pInA = pSrcA->pData;                    /* Input data matrix pointer A of Q15 type */
+        q15_t *pInB = pSrcB->pData;                    /* Input data matrix pointer B of Q15 type */
+        q15_t *px;                                     /* Temporary output data matrix pointer */
+        uint16_t numRowsA = pSrcA->numRows;            /* Number of rows of input matrix A */
+        uint16_t numColsB = pSrcB->numCols;            /* Number of columns of input matrix B */
+        uint16_t numColsA = pSrcA->numCols;            /* Number of columns of input matrix A */
+        uint16_t numRowsB = pSrcB->numRows;            /* Number of rows of input matrix A */
+        uint32_t col, i = 0U, row = numRowsB, colCnt;  /* Loop counters */
+        arm_status status;                             /* Status of matrix multiplication */
+
+#if defined (ARM_MATH_DSP)
+        q31_t in;                                      /* Temporary variable to hold the input value */
+        q31_t inA1, inB1, inA2, inB2;
+        q31_t sum2, sum3, sum4;
+        q15_t *pInA2, *pInB2, *px2;
+        uint32_t j = 0;
+#else
+        q15_t in;                                      /* Temporary variable to hold the input value */
+        q15_t inA1, inB1, inA2, inB2;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numCols != pSrcB->numRows) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcB->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Matrix transpose */
+    do
+    {
+      /* The pointer px is set to starting address of column being processed */
+      px = pSrcBT + i;
+
+      /* Apply loop unrolling and exchange columns with row elements */
+      col = numColsB >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+       ** a second loop below computes the remaining 1 to 3 samples. */
+      while (col > 0U)
+      {
+
+#if defined (ARM_MATH_DSP)
+
+        /* Read two elements from row */
+        in = read_q15x2_ia ((q15_t **) &pInB);
+
+        /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+        *px = (q15_t) in;
+#else
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += numRowsB;
+
+        /* Unpack and store second element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+        *px = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += numRowsB;
+
+        in = read_q15x2_ia ((q15_t **) &pInB);
+#ifndef ARM_MATH_BIG_ENDIAN
+        *px = (q15_t) in;
+#else
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+        px += numRowsB;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+        *px = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+        px += numRowsB;
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+        /* Read one element from row */
+        in = *pInB++;
+
+        /* Store one element in destination */
+        *px = in;
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += numRowsB;
+
+        in = *pInB++;
+        *px = in;
+        px += numRowsB;
+
+        in = *pInB++;
+        *px = in;
+        px += numRowsB;
+
+        in = *pInB++;
+        *px = in;
+        px += numRowsB;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.
+       ** No loop unrolling is used. */
+      col = numColsB % 0x4U;
+
+      while (col > 0U)
+      {
+        /* Read and store input element in destination */
+        *px = *pInB++;
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += numRowsB;
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      i++;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);
+
+    /* Reset variables for usage in following multiplication process */
+    row = numRowsA;
+    i = 0U;
+    px = pDst->pData;
+
+#if defined (ARM_MATH_DSP)
+    /* Process two rows from matrix A at a time and output two rows at a time */
+    row = row >> 1U;
+    px2 = px + numColsB;
+#endif
+
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    while (row > 0U)
+    {
+      /* For every row wise process, column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */
+      pInB = pSrcBT;
+
+#if defined (ARM_MATH_DSP)
+      /* Process two (transposed) columns from matrix B at a time */
+      col = col >> 1U;
+      j = 0;
+#endif
+
+      /* column loop */
+      while (col > 0U)
+      {
+        /* Set variable sum, that acts as accumulator, to zero */
+        sum = 0;
+
+        /* Initiate pointer pInA to point to starting address of column being processed */
+        pInA = pSrcA->pData + i;
+
+#if defined (ARM_MATH_DSP)
+        sum2 = 0;
+        sum3 = 0;
+        sum4 = 0;
+        pInB  = pSrcBT + j;
+        pInA2 = pInA + numColsA;
+        pInB2 = pInB + numRowsB;
+
+        /* Read in two elements at once - alows dual MAC instruction */
+        colCnt = numColsA >> 1U;
+#else
+        colCnt = numColsA >> 2U;
+#endif
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+#if defined (ARM_MATH_DSP)
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          inA1 = read_q15x2_ia ((q15_t **) &pInA);
+          inB1 = read_q15x2_ia ((q15_t **) &pInB);
+
+          inA2 = read_q15x2_ia ((q15_t **) &pInA2);
+          inB2 = read_q15x2_ia ((q15_t **) &pInB2);
+
+          /* Multiply and Accumlates */
+          sum  = __SMLAD(inA1, inB1, sum);
+          sum2 = __SMLAD(inA1, inB2, sum2);
+          sum3 = __SMLAD(inA2, inB1, sum3);
+          sum4 = __SMLAD(inA2, inB2, sum4);
+#else
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          inA1 = *pInA++;
+          inB1 = *pInB++;
+          /* Multiply and Accumlates */
+          sum += inA1 * inB1;
+
+          inA2 = *pInA++;
+          inB2 = *pInB++;
+          sum += inA2 * inB2;
+
+          inA1 = *pInA++;
+          inB1 = *pInB++;
+          sum += inA1 * inB1;
+
+          inA2 = *pInA++;
+          inB2 = *pInB++;
+          sum += inA2 * inB2;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* process odd column samples */
+#if defined (ARM_MATH_DSP)
+        if (numColsA & 1U) {
+          inA1 = *pInA++;
+          inB1 = *pInB++;
+          inA2 = *pInA2++;
+          inB2 = *pInB2++;
+          sum  += inA1 * inB1;
+          sum2 += inA1 * inB2;
+          sum3 += inA2 * inB1;
+          sum4 += inA2 * inB2;
+        }
+#else
+        colCnt = numColsA % 0x4U;
+
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+          sum += (q31_t) *pInA++ * *pInB++;
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+#endif /* #if defined (ARM_MATH_DSP) */
+
+        /* Saturate and store result in destination buffer */
+        *px++  = (q15_t) (sum >> 15);
+
+#if defined (ARM_MATH_DSP)
+        *px++  = (q15_t) (sum2 >> 15);
+        *px2++ = (q15_t) (sum3 >> 15);
+        *px2++ = (q15_t) (sum4 >> 15);
+        j += numRowsB * 2;
+#endif
+
+        /* Decrement column loop counter */
+        col--;
+
+      }
+
+      i = i + numColsA;
+
+#if defined (ARM_MATH_DSP)
+      i = i + numColsA;
+      px = px2 + (numColsB & 1U);
+      px2 = px + numColsB;
+#endif
+
+      /* Decrement row loop counter */
+      row--;
+
+    }
+
+    /* Compute any remaining odd row/column below */
+
+#if defined (ARM_MATH_DSP)
+
+    /* Compute remaining output column */
+    if (numColsB & 1U) {
+
+      /* Avoid redundant computation of last element */
+      row = numRowsA & (~0x1);
+
+      /* Point to remaining unfilled column in output matrix */
+      px = pDst->pData + numColsB-1;
+      pInA = pSrcA->pData;
+
+      /* row loop */
+      while (row > 0)
+      {
+
+        /* point to last column in matrix B */
+        pInB  = pSrcBT + numRowsB * (numColsB-1);
+
+        /* Set variable sum, that acts as accumulator, to zero */
+        sum  = 0;
+
+        /* Compute 4 columns at once */
+        colCnt = numColsA >> 2U;
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+          inA1 = read_q15x2_ia ((q15_t **) &pInA);
+          inA2 = read_q15x2_ia ((q15_t **) &pInA);
+          inB1 = read_q15x2_ia ((q15_t **) &pInB);
+          inB2 = read_q15x2_ia ((q15_t **) &pInB);
+
+          sum  = __SMLAD(inA1, inB1, sum);
+          sum  = __SMLAD(inA2, inB2, sum);
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        colCnt = numColsA & 3U;
+        while (colCnt > 0U) {
+          sum += (q31_t) (*pInA++) * (*pInB++);
+          colCnt--;
+        }
+
+        /* Store result in destination buffer */
+        *px = (q15_t) (sum  >> 15);
+        px += numColsB;
+
+        /* Decrement row loop counter */
+        row--;
+      }
+    }
+
+    /* Compute remaining output row */
+    if (numRowsA & 1U) {
+
+      /* point to last row in output matrix */
+      px = pDst->pData + (numColsB) * (numRowsA-1);
+
+      pInB  = pSrcBT;
+      col = numColsB;
+      i = 0U;
+
+      /* col loop */
+      while (col > 0)
+      {
+        /* point to last row in matrix A */
+        pInA = pSrcA->pData + (numRowsA-1) * numColsA;
+
+        /* Set variable sum, that acts as accumulator, to zero */
+        sum  = 0;
+
+        /* Compute 4 columns at once */
+        colCnt = numColsA >> 2U;
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+          inA1 = read_q15x2_ia ((q15_t **) &pInA);
+          inA2 = read_q15x2_ia ((q15_t **) &pInA);
+          inB1 = read_q15x2_ia ((q15_t **) &pInB);
+          inB2 = read_q15x2_ia ((q15_t **) &pInB);
+
+          sum  = __SMLAD(inA1, inB1, sum);
+          sum  = __SMLAD(inA2, inB2, sum);
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        colCnt = numColsA % 4U;
+        while (colCnt > 0U) {
+          sum += (q31_t) (*pInA++) * (*pInB++);
+
+          colCnt--;
+        }
+
+        /* Store result in destination buffer */
+        *px++ = (q15_t) (sum  >> 15);
+
+        /* Decrement column loop counter */
+        col--;
+      }
+    }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
new file mode 100644
index 0000000..0d753f7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
@@ -0,0 +1,374 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_mult_fast_q31.c
+ * Description:  Q31 matrix multiplication (fast variant)
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixMult
+  @{
+ */
+
+/**
+  @brief         Q31 matrix multiplication (fast variant).
+  @param[in]     pSrcA      points to the first input matrix structure
+  @param[in]     pSrcB      points to the second input matrix structure
+  @param[out]    pDst       points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+  @par           Scaling and Overflow Behavior
+                   The difference between the function \ref arm_mat_mult_q31() and this fast variant is that
+                   the fast variant use a 32-bit rather than a 64-bit accumulator.
+                   The result of each 1.31 x 1.31 multiplication is truncated to
+                   2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30
+                   format. Finally, the accumulator is saturated and converted to a 1.31 result.
+  @par
+                   The fast version has the same overflow behavior as the standard version but provides
+                   less precision since it discards the low 32 bits of each multiplication result.
+                   In order to avoid overflows completely the input signals must be scaled down.
+                   Scale down one of the input matrices by log2(numColsA) bits to avoid overflows,
+                   as a total of numColsA additions are computed internally for each output element.
+  @remark
+                   Refer to \ref arm_mat_mult_q31() for a slower implementation of this function
+                   which uses 64-bit accumulation to provide higher precision.
+ */
+
+arm_status arm_mat_mult_fast_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pInA = pSrcA->pData;                    /* Input data matrix pointer A */
+  q31_t *pInB = pSrcB->pData;                    /* Input data matrix pointer B */
+  q31_t *pInA2;
+  q31_t *px;                                     /* Temporary output data matrix pointer */
+  q31_t *px2;
+  q31_t sum1, sum2, sum3, sum4;                  /* Accumulator */
+  q31_t inA1, inA2, inB1, inB2;
+  uint16_t numRowsA = pSrcA->numRows;            /* Number of rows of input matrix A */
+  uint16_t numColsB = pSrcB->numCols;            /* Number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* Number of columns of input matrix A */
+  uint32_t col, i = 0U, j, row = numRowsA, colCnt;  /* Loop counters */
+  arm_status status;                             /* Status of matrix multiplication */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numCols != pSrcB->numRows) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcB->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    px = pDst->pData;
+
+    row = row >> 1U;
+    px2 = px + numColsB;
+
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    while (row > 0U)
+    {
+      /* For every row wise process, column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+      pInB = pSrcB->pData;
+
+      j = 0U;
+
+      col = col >> 1U;
+
+      /* column loop */
+      while (col > 0U)
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum1 = 0;
+        sum2 = 0;
+        sum3 = 0;
+        sum4 = 0;
+        
+        /* Initiate data pointers */
+        pInA = pSrcA->pData + i;
+        pInB = pSrcB->pData + j;
+        pInA2 = pInA + numColsA;
+        
+        colCnt = numColsA;
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+          inA1 = *pInA++;
+          inB1 = pInB[0];
+          inA2 = *pInA2++;
+          inB2 = pInB[1];
+          pInB += numColsB;
+
+#if defined (ARM_MATH_DSP)
+          sum1 = __SMMLA(inA1, inB1, sum1);
+          sum2 = __SMMLA(inA1, inB2, sum2);
+          sum3 = __SMMLA(inA2, inB1, sum3);
+          sum4 = __SMMLA(inA2, inB2, sum4);
+#else
+          sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32);
+          sum2 = (q31_t) ((((q63_t) sum2 << 32) + ((q63_t) inA1 * inB2)) >> 32);
+          sum3 = (q31_t) ((((q63_t) sum3 << 32) + ((q63_t) inA2 * inB1)) >> 32);
+          sum4 = (q31_t) ((((q63_t) sum4 << 32) + ((q63_t) inA2 * inB2)) >> 32);
+#endif
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* Convert the result from 2.30 to 1.31 format and store in destination buffer */
+        *px++  = sum1 << 1;
+        *px++  = sum2 << 1;
+        *px2++ = sum3 << 1;
+        *px2++ = sum4 << 1;
+
+        j += 2;
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      i = i + (numColsA << 1U);
+      px  = px2 + (numColsB & 1U);
+      px2 = px  +  numColsB;
+
+      /* Decrement row loop counter */
+      row--;
+    }
+
+    /* Compute any remaining odd row/column below */
+
+    /* Compute remaining output column */
+    if (numColsB & 1U) {
+
+      /* Avoid redundant computation of last element */
+      row = numRowsA & (~1U);
+
+      /* Point to remaining unfilled column in output matrix */
+      px = pDst->pData + numColsB-1;
+      pInA = pSrcA->pData;
+
+      /* row loop */
+      while (row > 0)
+      {
+
+        /* point to last column in matrix B */
+        pInB  = pSrcB->pData + numColsB-1;
+
+        /* Set variable sum1, that acts as accumulator, to zero */
+        sum1  = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        /* Loop unrolling: Compute 4 columns at a time. */
+        colCnt = numColsA >> 2U;
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+#if defined (ARM_MATH_DSP)
+          sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+          sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+          pInB += numColsB;
+
+#if defined (ARM_MATH_DSP)
+          sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+          sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+          pInB += numColsB;
+
+#if defined (ARM_MATH_DSP)
+          sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+          sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+          pInB += numColsB;
+
+#if defined (ARM_MATH_DSP)
+          sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+          sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+          pInB += numColsB;
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* Loop unrolling: Compute remaining column */
+        colCnt = numColsA % 4U;
+
+#else
+
+        /* Initialize colCnt with number of columns */
+        colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+        while (colCnt > 0U) {
+#if defined (ARM_MATH_DSP)
+          sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+          sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+          pInB += numColsB;
+          
+          colCnt--;
+        }
+
+        /* Convert the result from 2.30 to 1.31 format and store in destination buffer */
+        *px = sum1 << 1;
+        px += numColsB;
+
+        /* Decrement row loop counter */
+        row--;
+      }
+    }
+
+    /* Compute remaining output row */
+    if (numRowsA & 1U) {
+
+      /* point to last row in output matrix */
+      px = pDst->pData + (numColsB) * (numRowsA-1);
+
+      col = numColsB;
+      i = 0U;
+
+      /* col loop */
+      while (col > 0)
+      {
+
+        /* point to last row in matrix A */
+        pInA = pSrcA->pData + (numRowsA-1) * numColsA;
+        pInB  = pSrcB->pData + i;
+
+        /* Set variable sum1, that acts as accumulator, to zero */
+        sum1  = 0;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        /* Loop unrolling: Compute 4 columns at a time. */
+        colCnt = numColsA >> 2U;
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+          inA1 = *pInA++;
+          inA2 = *pInA++;
+          inB1 = *pInB;
+          pInB += numColsB;
+          inB2 = *pInB;
+          pInB += numColsB;
+#if defined (ARM_MATH_DSP)
+          sum1 = __SMMLA(inA1, inB1, sum1);
+          sum1 = __SMMLA(inA2, inB2, sum1);
+#else
+          sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32);
+          sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA2 * inB2)) >> 32);
+#endif
+
+          inA1 = *pInA++;
+          inA2 = *pInA++;
+          inB1 = *pInB;
+          pInB += numColsB;
+          inB2 = *pInB;
+          pInB += numColsB;
+#if defined (ARM_MATH_DSP)
+          sum1 = __SMMLA(inA1, inB1, sum1);
+          sum1 = __SMMLA(inA2, inB2, sum1);
+#else
+          sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA1 * inB1)) >> 32);
+          sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) inA2 * inB2)) >> 32);
+#endif
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* Loop unrolling: Compute remaining column */
+        colCnt = numColsA % 4U;
+
+#else
+
+        /* Initialize colCnt with number of columns */
+        colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+        while (colCnt > 0U) {
+#if defined (ARM_MATH_DSP)
+          sum1 = __SMMLA(*pInA++, *pInB, sum1);
+#else
+          sum1 = (q31_t) ((((q63_t) sum1 << 32) + ((q63_t) *pInA++ * *pInB)) >> 32);
+#endif
+          pInB += numColsB;
+
+          colCnt--;
+        }
+
+        /* Saturate and store the result in the destination buffer */
+        *px++ = sum1 << 1;
+        i++;
+
+        /* Decrement col loop counter */
+        col--;
+      }
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c
new file mode 100644
index 0000000..4a3bde8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c
@@ -0,0 +1,357 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_mult_q15.c
+ * Description:  Q15 matrix multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixMult
+  @{
+ */
+
+/**
+  @brief         Q15 matrix multiplication.
+  @param[in]     pSrcA      points to the first input matrix structure
+  @param[in]     pSrcB      points to the second input matrix structure
+  @param[out]    pDst       points to output matrix structure
+  @param[in]     pState     points to the array for storing intermediate results (Unused)
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator. The inputs to the
+                   multiplications are in 1.15 format and multiplications yield a 2.30 result.
+                   The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+                   This approach provides 33 guard bits and there is no risk of overflow.
+                   The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits
+                   and then saturated to 1.15 format.
+  @par
+                   Refer to \ref arm_mat_mult_fast_q15() for a faster but less precise version of this function.
+ */
+
+arm_status arm_mat_mult_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst,
+        q15_t                   * pState)
+{
+        q63_t sum;                                     /* Accumulator */
+
+#if defined (ARM_MATH_DSP)                             /* != CM0 */
+
+        q15_t *pSrcBT = pState;                        /* Input data matrix pointer for transpose */
+        q15_t *pInA = pSrcA->pData;                    /* Input data matrix pointer A of Q15 type */
+        q15_t *pInB = pSrcB->pData;                    /* Input data matrix pointer B of Q15 type */
+        q15_t *px;                                     /* Temporary output data matrix pointer */
+        uint16_t numRowsA = pSrcA->numRows;            /* Number of rows of input matrix A */
+        uint16_t numColsB = pSrcB->numCols;            /* Number of columns of input matrix B */
+        uint16_t numColsA = pSrcA->numCols;            /* Number of columns of input matrix A */
+        uint16_t numRowsB = pSrcB->numRows;            /* Number of rows of input matrix A */
+        uint32_t col, i = 0U, row = numRowsB, colCnt;  /* Loop counters */
+        arm_status status;                             /* Status of matrix multiplication */
+        
+        q31_t in;                                      /* Temporary variable to hold the input value */
+        q31_t inA1, inB1, inA2, inB2;
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numCols != pSrcB->numRows) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcB->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Matrix transpose */
+    do
+    {
+      /* The pointer px is set to starting address of column being processed */
+      px = pSrcBT + i;
+
+      /* Apply loop unrolling and exchange columns with row elements */
+      col = numColsB >> 2U;
+
+      /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+       ** a second loop below computes the remaining 1 to 3 samples. */
+      while (col > 0U)
+      {
+        /* Read two elements from row */
+        in = read_q15x2_ia ((q15_t **) &pInB);
+
+        /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+        *px = (q15_t) in;
+#else
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += numRowsB;
+
+        /* Unpack and store second element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+        *px = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += numRowsB;
+
+        /* Read two elements from row */
+        in = read_q15x2_ia ((q15_t **) &pInB);
+
+        /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+        *px = (q15_t) in;
+#else
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+        px += numRowsB;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+        *px = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+        px += numRowsB;
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here.
+       ** No loop unrolling is used. */
+      col = numColsB % 0x4U;
+
+      while (col > 0U)
+      {
+        /* Read and store input element in destination */
+        *px = *pInB++;
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += numRowsB;
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      i++;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);
+
+    /* Reset variables for usage in following multiplication process */
+    row = numRowsA;
+    i = 0U;
+    px = pDst->pData;
+
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* For every row wise process, column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, pIn2 pointer is set to starting address of transposed pSrcB data */
+      pInB = pSrcBT;
+
+      /* column loop */
+      do
+      {
+        /* Set variable sum, that acts as accumulator, to zero */
+        sum = 0;
+
+        /* Initiate pointer pInA to point to starting address of column being processed */
+        pInA = pSrcA->pData + i;
+
+        /* Apply loop unrolling and compute 2 MACs simultaneously. */
+        colCnt = numColsA >> 2U;
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+          /* read real and imag values from pSrcA and pSrcB buffer */
+          inA1 = read_q15x2_ia ((q15_t **) &pInA);
+          inB1 = read_q15x2_ia ((q15_t **) &pInB);
+
+          inA2 = read_q15x2_ia ((q15_t **) &pInA);
+          inB2 = read_q15x2_ia ((q15_t **) &pInB);
+
+          /* Multiply and Accumlates */
+          sum = __SMLALD(inA1, inB1, sum);
+          sum = __SMLALD(inA2, inB2, sum);
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* process remaining column samples */
+        colCnt = numColsA % 0x4U;
+
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+          sum += *pInA++ * *pInB++;
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* Saturate and store result in destination buffer */
+        *px = (q15_t) (__SSAT((sum >> 15), 16));
+        px++;
+
+        /* Decrement column loop counter */
+        col--;
+
+      } while (col > 0U);
+
+      i = i + numColsA;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+        q15_t *pIn1 = pSrcA->pData;                    /* Input data matrix pointer A */
+        q15_t *pIn2 = pSrcB->pData;                    /* Input data matrix pointer B */
+        q15_t *pInA = pSrcA->pData;                    /* Input data matrix pointer A of Q15 type */
+        q15_t *pInB = pSrcB->pData;                    /* Input data matrix pointer B of Q15 type */
+        q15_t *pOut = pDst->pData;                     /* Output data matrix pointer */
+        q15_t *px;                                     /* Temporary output data matrix pointer */
+        uint16_t numColsB = pSrcB->numCols;            /* Number of columns of input matrix B */
+        uint16_t numColsA = pSrcA->numCols;            /* Number of columns of input matrix A */
+        uint16_t numRowsA = pSrcA->numRows;            /* Number of rows of input matrix A    */
+        uint32_t col, i = 0U, row = numRowsA, colCnt;  /* Loop counters */
+        arm_status status;                             /* Status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numCols != pSrcB->numRows) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcB->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of the row being processed */
+      px = pOut + i;
+
+      /* For every row wise process, column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum = 0;
+
+        /* Initiate pointer pIn1 to point to starting address of pSrcA */
+        pIn1 = pInA;
+
+        /* Matrix A columns number of MAC operations are to be performed */
+        colCnt = numColsA;
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+          /* Perform multiply-accumulates */
+          sum += (q31_t) * pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* Convert result from 34.30 to 1.15 format and store saturated value in destination buffer */
+
+        /* Saturate and store result in destination buffer */
+        *px++ = (q15_t) __SSAT((sum >> 15), 16);
+
+        /* Decrement column loop counter */
+        col--;
+
+        /* Update pointer pIn2 to point to starting address of next column */
+        pIn2 = pInB + (numColsB - col);
+
+      } while (col > 0U);
+
+      /* Update pointer pSrcA to point to starting address of next row */
+      i = i + numColsB;
+      pInA = pInA + numColsA;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c
new file mode 100644
index 0000000..88c8791
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c
@@ -0,0 +1,196 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_mult_q31.c
+ * Description:  Q31 matrix multiplication
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixMult
+  @{
+ */
+
+/**
+  @brief         Q31 matrix multiplication.
+  @param[in]     pSrcA      points to the first input matrix structure
+  @param[in]     pSrcB      points to the second input matrix structure
+  @param[out]    pDst       points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The accumulator has a 2.62 format and maintains full precision of the intermediate
+                   multiplication results but provides only a single guard bit. There is no saturation
+                   on intermediate additions. Thus, if the accumulator overflows it wraps around and
+                   distorts the result. The input signals should be scaled down to avoid intermediate
+                   overflows. The input is thus scaled down by log2(numColsA) bits
+                   to avoid overflows, as a total of numColsA additions are performed internally.
+                   The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result.
+  @remark
+                   Refer to \ref arm_mat_mult_fast_q31() for a faster but less precise implementation of this function.
+ */
+
+arm_status arm_mat_mult_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pIn1 = pSrcA->pData;                    /* Input data matrix pointer A */
+  q31_t *pIn2 = pSrcB->pData;                    /* Input data matrix pointer B */
+  q31_t *pInA = pSrcA->pData;                    /* Input data matrix pointer A */
+  q31_t *pInB = pSrcB->pData;                    /* Input data matrix pointer B */
+  q31_t *pOut = pDst->pData;                     /* Output data matrix pointer */
+  q31_t *px;                                     /* Temporary output data matrix pointer */
+  q63_t sum;                                     /* Accumulator */
+  uint16_t numRowsA = pSrcA->numRows;            /* Number of rows of input matrix A */
+  uint16_t numColsB = pSrcB->numCols;            /* Number of columns of input matrix B */
+  uint16_t numColsA = pSrcA->numCols;            /* Number of columns of input matrix A */
+  uint32_t col, i = 0U, row = numRowsA, colCnt;  /* Loop counters */
+  arm_status status;                             /* Status of matrix multiplication */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numCols != pSrcB->numRows) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcB->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */
+    /* row loop */
+    do
+    {
+      /* Output pointer is set to starting address of row being processed */
+      px = pOut + i;
+
+      /* For every row wise process, column loop counter is to be initiated */
+      col = numColsB;
+
+      /* For every row wise process, pIn2 pointer is set to starting address of pSrcB data */
+      pIn2 = pSrcB->pData;
+
+      /* column loop */
+      do
+      {
+        /* Set the variable sum, that acts as accumulator, to zero */
+        sum = 0;
+
+        /* Initialize pointer pIn1 to point to starting address of column being processed */
+        pIn1 = pInA;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        /* Loop unrolling: Compute 4 MACs at a time. */
+        colCnt = numColsA >> 2U;
+
+        /* matrix multiplication */
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+          /* Perform the multiply-accumulates */
+          sum += (q63_t) *pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          sum += (q63_t) *pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          sum += (q63_t) *pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          sum += (q63_t) *pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* Loop unrolling: Compute remaining MACs */
+        colCnt = numColsA % 0x4U;
+
+#else
+
+        /* Initialize cntCnt with number of columns */
+        colCnt = numColsA;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+        while (colCnt > 0U)
+        {
+          /* c(m,n) = a(1,1) * b(1,1) + a(1,2) * b(2,1) + .... + a(m,p) * b(p,n) */
+
+          /* Perform the multiply-accumulates */
+          sum += (q63_t) *pIn1++ * *pIn2;
+          pIn2 += numColsB;
+
+          /* Decrement loop counter */
+          colCnt--;
+        }
+
+        /* Convert result from 2.62 to 1.31 format and store in destination buffer */
+        *px++ = (q31_t) (sum >> 31);
+
+        /* Decrement column loop counter */
+        col--;
+
+        /* Update pointer pIn2 to point to starting address of next column */
+        pIn2 = pInB + (numColsB - col);
+
+      } while (col > 0U);
+
+      /* Update pointer pInA to point to starting address of next row */
+      i = i + numColsB;
+      pInA = pInA + numColsA;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixMult group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c
new file mode 100644
index 0000000..91c56b1
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c
@@ -0,0 +1,221 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_scale_f32.c
+ * Description:  Multiplies a floating-point matrix by a scalar
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @defgroup MatrixScale Matrix Scale
+
+  Multiplies a matrix by a scalar.  This is accomplished by multiplying each element in the
+  matrix by the scalar.  For example:
+  \image html MatrixScale.gif "Matrix Scaling of a 3 x 3 matrix"
+
+  The function checks to make sure that the input and output matrices are of the same size.
+
+  In the fixed-point Q15 and Q31 functions, <code>scale</code> is represented by
+  a fractional multiplication <code>scaleFract</code> and an arithmetic shift <code>shift</code>.
+  The shift allows the gain of the scaling operation to exceed 1.0.
+  The overall scale factor applied to the fixed-point data is
+  <pre>
+      scale = scaleFract * 2^shift.
+  </pre>
+ */
+
+/**
+  @addtogroup MatrixScale
+  @{
+ */
+
+/**
+  @brief         Floating-point matrix scaling.
+  @param[in]     pSrc       points to input matrix
+  @param[in]     scale      scale factor to be applied
+  @param[out]    pDst       points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+arm_status arm_mat_scale_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  float32_t scale,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  uint32_t numSamples;                           /* total number of elements in the matrix */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix scaling     */
+
+
+  float32_t in1, in2, in3, in4;                  /* temporary variables */
+  float32_t out1, out2, out3, out4;              /* temporary variables */
+
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+  {
+    float32x4_t vec1;
+    float32x4_t res;
+
+    /* Total number of samples in the input matrix */
+    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+
+    blkCnt = numSamples >> 2;
+
+    /* Compute 4 outputs at a time.
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) * scale */
+      /* Scaling and results are stored in the destination buffer. */
+      vec1 = vld1q_f32(pIn);
+      res = vmulq_f32(vec1, vdupq_n_f32(scale));
+      vst1q_f32(pOut, res);
+
+      /* update pointers to process next sampels */
+      pIn += 4U;
+      pOut += 4U;
+
+      /* Decrement the numSamples loop counter */
+      blkCnt--;
+    }
+
+    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+     ** No loop unrolling is used. */
+    blkCnt = numSamples % 0x4U;
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) * scale */
+      /* The results are stored in the destination buffer. */
+      *pOut++ = (*pIn++) * scale;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+#else
+arm_status arm_mat_scale_f32(
+  const arm_matrix_instance_f32 * pSrc,
+        float32_t                 scale,
+        arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn = pSrc->pData;                  /* Input data matrix pointer */
+  float32_t *pOut = pDst->pData;                 /* Output data matrix pointer */
+  uint32_t numSamples;                           /* Total number of elements in the matrix */
+  uint32_t blkCnt;                               /* Loop counters */
+  arm_status status;                             /* Status of matrix scaling */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pDst->numRows) ||
+      (pSrc->numCols != pDst->numCols)   )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Total number of samples in input matrix */
+    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = numSamples >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) * scale */
+
+      /* Scale and store result in destination buffer. */
+      *pOut++ = (*pIn++) * scale;
+      *pOut++ = (*pIn++) * scale;
+      *pOut++ = (*pIn++) * scale;
+      *pOut++ = (*pIn++) * scale;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = numSamples % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) * scale */
+
+      /* Scale and store result in destination buffer. */
+      *pOut++ = (*pIn++) * scale;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of MatrixScale group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c
new file mode 100644
index 0000000..7956670
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c
@@ -0,0 +1,170 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_scale_q15.c
+ * Description:  Multiplies a Q15 matrix by a scalar
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixScale
+  @{
+ */
+
+/**
+  @brief         Q15 matrix scaling.
+  @param[in]     pSrc        points to input matrix
+  @param[in]     scaleFract  fractional portion of the scale factor
+  @param[in]     shift       number of bits to shift the result by
+  @param[out]    pDst        points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+  @par           Scaling and Overflow Behavior
+                   The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.15 format.
+                   These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format.
+ */
+
+arm_status arm_mat_scale_q15(
+  const arm_matrix_instance_q15 * pSrc,
+        q15_t                     scaleFract,
+        int32_t                   shift,
+        arm_matrix_instance_q15 * pDst)
+{
+        q15_t *pIn = pSrc->pData;                      /* Input data matrix pointer */
+        q15_t *pOut = pDst->pData;                     /* Output data matrix pointer */
+        uint32_t numSamples;                           /* Total number of elements in the matrix */
+        uint32_t blkCnt;                               /* Loop counter */
+        arm_status status;                             /* Status of matrix scaling */
+        int32_t kShift = 15 - shift;                   /* Total shift to apply after scaling */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+        q31_t inA1, inA2;
+        q31_t out1, out2, out3, out4;                  /* Temporary output variables */
+        q15_t in1, in2, in3, in4;                      /* Temporary input variables */
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pDst->numRows) ||
+      (pSrc->numCols != pDst->numCols)   )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Total number of samples in input matrix */
+    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = numSamples >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) * k */
+
+#if defined (ARM_MATH_DSP)
+      /* read 2 times 2 samples at a time from source */
+      inA1 = read_q15x2_ia ((q15_t **) &pIn);
+      inA2 = read_q15x2_ia ((q15_t **) &pIn);
+
+      /* Scale inputs and store result in temporary variables
+       * in single cycle by packing the outputs */
+      out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract);
+      out2 = (q31_t) ((q15_t) (inA1      ) * scaleFract);
+      out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract);
+      out4 = (q31_t) ((q15_t) (inA2      ) * scaleFract);
+
+      /* apply shifting */
+      out1 = out1 >> kShift;
+      out2 = out2 >> kShift;
+      out3 = out3 >> kShift;
+      out4 = out4 >> kShift;
+
+      /* saturate the output */
+      in1 = (q15_t) (__SSAT(out1, 16));
+      in2 = (q15_t) (__SSAT(out2, 16));
+      in3 = (q15_t) (__SSAT(out3, 16));
+      in4 = (q15_t) (__SSAT(out4, 16));
+
+      /* store result to destination */
+      write_q15x2_ia (&pOut, __PKHBT(in2, in1, 16));
+      write_q15x2_ia (&pOut, __PKHBT(in4, in3, 16));
+
+#else
+      *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+      *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+      *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+      *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+#endif
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = numSamples % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) * k */
+
+      /* Scale, saturate and store result in destination buffer. */
+      *pOut++ = (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> kShift, 16));
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixScale group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c
new file mode 100644
index 0000000..7f2fe8b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c
@@ -0,0 +1,164 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_scale_q31.c
+ * Description:  Multiplies a Q31 matrix by a scalar
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixScale
+  @{
+ */
+
+/**
+  @brief         Q31 matrix scaling.
+  @param[in]     pSrc        points to input matrix
+  @param[in]     scaleFract  fractional portion of the scale factor
+  @param[in]     shift       number of bits to shift the result by
+  @param[out]    pDst        points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+  @par           Scaling and Overflow Behavior
+                   The input data <code>*pSrc</code> and <code>scaleFract</code> are in 1.31 format.
+                   These are multiplied to yield a 2.62 intermediate result which is shifted with saturation to 1.31 format.
+ */
+
+arm_status arm_mat_scale_q31(
+  const arm_matrix_instance_q31 * pSrc,
+        q31_t                     scaleFract,
+        int32_t                   shift,
+        arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pIn = pSrc->pData;                      /* Input data matrix pointer */
+  q31_t *pOut = pDst->pData;                     /* Output data matrix pointer */
+  uint32_t numSamples;                           /* Total number of elements in the matrix */
+  uint32_t blkCnt;                               /* Loop counter */
+  arm_status status;                             /* Status of matrix scaling */
+  int32_t kShift = shift + 1;                    /* Shift to apply after scaling */
+  q31_t in, out;                                 /* Temporary variabels */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pDst->numRows) ||
+      (pSrc->numCols != pDst->numCols)   )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Total number of samples in input matrix */
+    numSamples = (uint32_t) pSrc->numRows * pSrc->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = numSamples >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) * k */
+
+      /* Scale, saturate and store result in destination buffer. */
+      in = *pIn++;                                 /* read four inputs from source */
+      in = ((q63_t) in * scaleFract) >> 32;        /* multiply input with scaler value */
+      out = in << kShift;                          /* apply shifting */
+      if (in != (out >> kShift))                   /* saturate the results. */
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pOut++ = out;                               /* Store result destination */
+
+      in = *pIn++;
+      in = ((q63_t) in * scaleFract) >> 32;
+      out = in << kShift;
+      if (in != (out >> kShift))
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pOut++ = out;
+
+      in = *pIn++;
+      in = ((q63_t) in * scaleFract) >> 32;
+      out = in << kShift;
+      if (in != (out >> kShift))
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pOut++ = out;
+
+      in = *pIn++;
+      in = ((q63_t) in * scaleFract) >> 32;
+      out = in << kShift;
+      if (in != (out >> kShift))
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pOut++ = out;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = numSamples % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) * k */
+
+      /* Scale, saturate and store result in destination buffer. */
+      in = *pIn++;
+      in = ((q63_t) in * scaleFract) >> 32;
+      out = in << kShift;
+      if (in != (out >> kShift))
+        out = 0x7FFFFFFF ^ (in >> 31);
+      *pOut++ = out;
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixScale group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c
new file mode 100644
index 0000000..4f812a6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c
@@ -0,0 +1,226 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_sub_f32.c
+ * Description:  Floating-point matrix subtraction
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @defgroup MatrixSub Matrix Subtraction
+
+  Subtract two matrices.
+  \image html MatrixSubtraction.gif "Subraction of two 3 x 3 matrices"
+
+  The functions check to make sure that
+  <code>pSrcA</code>, <code>pSrcB</code>, and <code>pDst</code> have the same
+  number of rows and columns.
+ */
+
+/**
+  @addtogroup MatrixSub
+  @{
+ */
+
+/**
+  @brief         Floating-point matrix subtraction.
+  @param[in]     pSrcA      points to the first input matrix structure
+  @param[in]     pSrcB      points to the second input matrix structure
+  @param[out]    pDst       points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+
+#if defined(ARM_MATH_NEON)
+arm_status arm_mat_sub_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn1 = pSrcA->pData;                /* input data matrix pointer A */
+  float32_t *pIn2 = pSrcB->pData;                /* input data matrix pointer B */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer  */
+
+
+  float32_t inA1, inA2, inB1, inB2, out1, out2;  /* temporary variables */
+
+
+  uint32_t numSamples;                           /* total number of elements in the matrix  */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numRows != pSrcB->numRows) ||
+     (pSrcA->numCols != pSrcB->numCols) ||
+     (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+  {
+    float32x4_t vec1;
+    float32x4_t vec2;
+    float32x4_t res;
+
+    /* Total number of samples in the input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+    blkCnt = numSamples >> 2U;
+
+    /* Compute 4 outputs at a time.
+     ** a second loop below computes the remaining 1 to 3 samples. */
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+      /* Subtract and then store the results in the destination buffer. */
+      /* Read values from source A */
+      vec1 = vld1q_f32(pIn1);
+      vec2 = vld1q_f32(pIn2);
+      res = vsubq_f32(vec1, vec2);
+      vst1q_f32(pOut, res);
+
+      /* Update pointers to process next samples */
+      pIn1 += 4U;
+      pIn2 += 4U;
+      pOut += 4U;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+     ** No loop unrolling is used. */
+    blkCnt = numSamples % 0x4U;
+
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+      /* Subtract and then store the results in the destination buffer. */
+      *pOut++ = (*pIn1++) - (*pIn2++);
+
+      /* Decrement the loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+#else
+arm_status arm_mat_sub_f32(
+  const arm_matrix_instance_f32 * pSrcA,
+  const arm_matrix_instance_f32 * pSrcB,
+        arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pInA = pSrcA->pData;                /* input data matrix pointer A */
+  float32_t *pInB = pSrcB->pData;                /* input data matrix pointer B */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+
+  uint32_t numSamples;                           /* total number of elements in the matrix */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numRows != pSrcB->numRows) ||
+      (pSrcA->numCols != pSrcB->numCols) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcA->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Total number of samples in input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = numSamples >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+
+      /* Subtract and store result in destination buffer. */
+      *pOut++ = (*pInA++) - (*pInB++);
+      *pOut++ = (*pInA++) - (*pInB++);
+      *pOut++ = (*pInA++) - (*pInB++);
+      *pOut++ = (*pInA++) - (*pInB++);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = numSamples % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+
+      /* Subtract and store result in destination buffer. */
+      *pOut++ = (*pInA++) - (*pInB++);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+/**
+  @} end of MatrixSub group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c
new file mode 100644
index 0000000..37496ea
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c
@@ -0,0 +1,144 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_sub_q15.c
+ * Description:  Q15 Matrix subtraction
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixSub
+  @{
+ */
+
+/**
+  @brief         Q15 matrix subtraction.
+  @param[in]     pSrcA      points to the first input matrix structure
+  @param[in]     pSrcB      points to the second input matrix structure
+  @param[out]    pDst       points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+ */
+
+arm_status arm_mat_sub_q15(
+  const arm_matrix_instance_q15 * pSrcA,
+  const arm_matrix_instance_q15 * pSrcB,
+        arm_matrix_instance_q15 * pDst)
+{
+        q15_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
+        q15_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
+        q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
+
+        uint32_t numSamples;                           /* total number of elements in the matrix */
+        uint32_t blkCnt;                               /* loop counters  */
+        arm_status status;                             /* status of matrix subtraction  */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numRows != pSrcB->numRows) ||
+      (pSrcA->numCols != pSrcB->numCols) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcA->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Total number of samples in input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = numSamples >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+
+      /* Subtract, Saturate and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+      write_q15x2_ia (&pOut, __QSUB16(read_q15x2_ia ((q15_t **) &pInA), read_q15x2_ia ((q15_t **) &pInB)));
+      write_q15x2_ia (&pOut, __QSUB16(read_q15x2_ia ((q15_t **) &pInA), read_q15x2_ia ((q15_t **) &pInB)));
+#else
+      *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+      *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+      *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+      *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+#endif
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = numSamples % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+
+      /* Subtract and store result in destination buffer. */
+#if defined (ARM_MATH_DSP)
+      *pOut++ = (q15_t) __QSUB16(*pInA++, *pInB++);
+#else
+      *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16);
+#endif
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixSub group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c
new file mode 100644
index 0000000..8a5e693
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c
@@ -0,0 +1,139 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_sub_q31.c
+ * Description:  Q31 matrix subtraction
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixSub
+  @{
+ */
+
+/**
+  @brief         Q31 matrix subtraction.
+  @param[in]     pSrcA      points to the first input matrix structure
+  @param[in]     pSrcB      points to the second input matrix structure
+  @param[out]    pDst       points to output matrix structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated.
+ */
+
+arm_status arm_mat_sub_q31(
+  const arm_matrix_instance_q31 * pSrcA,
+  const arm_matrix_instance_q31 * pSrcB,
+        arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pInA = pSrcA->pData;                    /* input data matrix pointer A */
+  q31_t *pInB = pSrcB->pData;                    /* input data matrix pointer B */
+  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
+
+  uint32_t numSamples;                           /* total number of elements in the matrix */
+  uint32_t blkCnt;                               /* loop counters */
+  arm_status status;                             /* status of matrix subtraction */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrcA->numRows != pSrcB->numRows) ||
+      (pSrcA->numCols != pSrcB->numCols) ||
+      (pSrcA->numRows != pDst->numRows)  ||
+      (pSrcA->numCols != pDst->numCols)    )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Total number of samples in input matrix */
+    numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+    /* Loop unrolling: Compute 4 outputs at a time */
+    blkCnt = numSamples >> 2U;
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+
+      /* Subtract, saturate and then store the results in the destination buffer. */
+      *pOut++ = __QSUB(*pInA++, *pInB++);
+
+      *pOut++ = __QSUB(*pInA++, *pInB++);
+
+      *pOut++ = __QSUB(*pInA++, *pInB++);
+
+      *pOut++ = __QSUB(*pInA++, *pInB++);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Loop unrolling: Compute remaining outputs */
+    blkCnt = numSamples % 0x4U;
+
+#else
+
+    /* Initialize blkCnt with number of samples */
+    blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+    while (blkCnt > 0U)
+    {
+      /* C(m,n) = A(m,n) - B(m,n) */
+
+      /* Subtract, saturate and store result in destination buffer. */
+      *pOut++ = __QSUB(*pInA++, *pInB++);
+
+      /* Decrement loop counter */
+      blkCnt--;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixSub group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c
new file mode 100644
index 0000000..f002949
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c
@@ -0,0 +1,284 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_trans_f32.c
+ * Description:  Floating-point matrix transpose
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @defgroup MatrixTrans Matrix Transpose
+
+  Tranposes a matrix.
+
+  Transposing an <code>M x N</code> matrix flips it around the center diagonal and results in an <code>N x M</code> matrix.
+  \image html MatrixTranspose.gif "Transpose of a 3 x 3 matrix"
+ */
+
+/**
+  @addtogroup MatrixTrans
+  @{
+ */
+
+/**
+  @brief         Floating-point matrix transpose.
+  @param[in]     pSrc      points to input matrix
+  @param[out]    pDst      points to output matrix
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+
+#if defined(ARM_MATH_NEON)
+
+arm_status arm_mat_trans_f32(
+  const arm_matrix_instance_f32 * pSrc,
+  arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float32_t *px;                                 /* Temporary output data matrix pointer */
+  uint16_t nRows = pSrc->numRows;                /* number of rows */
+  uint16_t nColumns = pSrc->numCols;             /* number of columns */
+
+  uint16_t blkCnt, rowCnt, i = 0U, row = nRows;          /* loop counters */
+  arm_status status;                             /* status of matrix transpose  */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows))
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+#endif /*    #ifdef ARM_MATH_MATRIX_CHECK    */
+
+  {
+    /* Matrix transpose by exchanging the rows with columns */
+    /* Row loop */
+    rowCnt = row >> 2;
+    while (rowCnt > 0U)
+    {
+      float32x4_t row0V,row1V,row2V,row3V;
+      float32x4x2_t ra0,ra1,rb0,rb1;
+
+      blkCnt = nColumns >> 2;
+
+      /* The pointer px is set to starting address of the column being processed */
+      px = pOut + i;
+
+      /* Compute 4 outputs at a time.
+       ** a second loop below computes the remaining 1 to 3 samples. */
+      while (blkCnt > 0U)        /* Column loop */
+      {
+        row0V = vld1q_f32(pIn);
+        row1V = vld1q_f32(pIn + 1 * nColumns);
+        row2V = vld1q_f32(pIn + 2 * nColumns);
+        row3V = vld1q_f32(pIn + 3 * nColumns);
+        pIn += 4;
+
+        ra0 = vzipq_f32(row0V,row2V);
+        ra1 = vzipq_f32(row1V,row3V);
+
+        rb0 = vzipq_f32(ra0.val[0],ra1.val[0]);
+        rb1 = vzipq_f32(ra0.val[1],ra1.val[1]);
+
+        vst1q_f32(px,rb0.val[0]);
+        px += nRows;
+
+        vst1q_f32(px,rb0.val[1]);
+        px += nRows;
+
+        vst1q_f32(px,rb1.val[0]);
+        px += nRows;
+
+        vst1q_f32(px,rb1.val[1]);
+        px += nRows;
+
+        /* Decrement the column loop counter */
+        blkCnt--;
+      }
+
+      /* Perform matrix transpose for last 3 samples here. */
+      blkCnt = nColumns % 0x4U;
+
+      while (blkCnt > 0U)
+      {
+        /* Read and store the input element in the destination */
+        *px++ = *pIn;
+        *px++ = *(pIn + 1 * nColumns);
+        *px++ = *(pIn + 2 * nColumns);
+        *px++ = *(pIn + 3 * nColumns);
+        
+        px += (nRows - 4);
+        pIn++;
+
+        /* Decrement the column loop counter */
+        blkCnt--;
+      }
+
+      i += 4;
+      pIn += 3 * nColumns;
+
+      /* Decrement the row loop counter */
+      rowCnt--;
+
+    }         /* Row loop end  */
+
+    rowCnt = row & 3;
+    while (rowCnt > 0U)
+    {
+      blkCnt = nColumns ;
+      /* The pointer px is set to starting address of the column being processed */
+      px = pOut + i;
+
+      while (blkCnt > 0U)
+      {
+        /* Read and store the input element in the destination */
+        *px = *pIn++;
+
+        /* Update the pointer px to point to the next row of the transposed matrix */
+        px += nRows;
+
+        /* Decrement the column loop counter */
+        blkCnt--;
+      }
+      i++;
+      rowCnt -- ;
+    }
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+#else
+arm_status arm_mat_trans_f32(
+  const arm_matrix_instance_f32 * pSrc,
+        arm_matrix_instance_f32 * pDst)
+{
+  float32_t *pIn = pSrc->pData;                  /* input data matrix pointer */
+  float32_t *pOut = pDst->pData;                 /* output data matrix pointer */
+  float32_t *px;                                 /* Temporary output data matrix pointer */
+  uint16_t nRows = pSrc->numRows;                /* number of rows */
+  uint16_t nCols = pSrc->numCols;                /* number of columns */
+  uint32_t col, row = nRows, i = 0U;             /* Loop counters */
+  arm_status status;                             /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pDst->numCols) ||
+      (pSrc->numCols != pDst->numRows)   )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Matrix transpose by exchanging the rows with columns */
+    /* row loop */
+    do
+    {
+      /* Pointer px is set to starting address of column being processed */
+      px = pOut + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      col = nCols >> 2U;
+
+      while (col > 0U)        /* column loop */
+      {
+        /* Read and store input element in destination */
+        *px = *pIn++;
+        /* Update pointer px to point to next row of transposed matrix */
+        px += nRows;
+
+        *px = *pIn++;
+        px += nRows;
+
+        *px = *pIn++;
+        px += nRows;
+
+        *px = *pIn++;
+        px += nRows;
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      col = nCols % 0x4U;
+
+#else
+
+      /* Initialize col with number of samples */
+      col = nCols;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (col > 0U)
+      {
+        /* Read and store input element in destination */
+        *px = *pIn++;
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += nRows;
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      i++;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);          /* row loop end */
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+ * @} end of MatrixTrans group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c
new file mode 100644
index 0000000..3774e83
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c
@@ -0,0 +1,182 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_trans_q15.c
+ * Description:  Q15 matrix transpose
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixTrans
+  @{
+ */
+
+/**
+  @brief         Q15 matrix transpose.
+  @param[in]     pSrc      points to input matrix
+  @param[out]    pDst      points to output matrix
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+
+arm_status arm_mat_trans_q15(
+  const arm_matrix_instance_q15 * pSrc,
+        arm_matrix_instance_q15 * pDst)
+{
+        q15_t *pIn = pSrc->pData;                      /* input data matrix pointer */
+        q15_t *pOut = pDst->pData;                     /* output data matrix pointer */
+        uint16_t nRows = pSrc->numRows;                /* number of rows */
+        uint16_t nCols = pSrc->numCols;                /* number of columns */
+        uint32_t col, row = nRows, i = 0U;             /* Loop counters */
+        arm_status status;                             /* status of matrix transpose */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t in;                                      /* variable to hold temporary output  */
+#endif
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pDst->numCols) ||
+      (pSrc->numCols != pDst->numRows)   )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Matrix transpose by exchanging the rows with columns */
+    /* row loop */
+    do
+    {
+      /* Pointer pOut is set to starting address of column being processed */
+      pOut = pDst->pData + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      col = nCols >> 2U;
+
+      while (col > 0U)        /* column loop */
+      {
+        /* Read two elements from row */
+        in = read_q15x2_ia ((q15_t **) &pIn);
+
+        /* Unpack and store one element in  destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+        *pOut = (q15_t) in;
+#else
+        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* Update pointer pOut to point to next row of transposed matrix */
+        pOut += nRows;
+
+        /* Unpack and store second element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+        *pOut = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* Update  pointer pOut to point to next row of transposed matrix */
+        pOut += nRows;
+
+        /* Read two elements from row */
+        in = read_q15x2_ia ((q15_t **) &pIn);
+
+        /* Unpack and store one element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+        *pOut = (q15_t) in;
+#else
+        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* Update pointer pOut to point to next row of transposed matrix */
+        pOut += nRows;
+
+        /* Unpack and store second element in destination */
+#ifndef ARM_MATH_BIG_ENDIAN
+        *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16);
+#else
+        *pOut = (q15_t) in;
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* Update pointer pOut to point to next row of transposed matrix */
+        pOut += nRows;
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      col = nCols % 0x4U;
+
+#else
+
+      /* Initialize col with number of samples */
+      col = nCols;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (col > 0U)
+      {
+        /* Read and store input element in destination */
+        *pOut = *pIn++;
+
+        /* Update pointer pOut to point to next row of transposed matrix */
+        pOut += nRows;
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      i++;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);          /* row loop end */
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixTrans group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c
new file mode 100644
index 0000000..d6efd59
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c
@@ -0,0 +1,146 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mat_trans_q31.c
+ * Description:  Q31 matrix transpose
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupMatrix
+ */
+
+/**
+  @addtogroup MatrixTrans
+  @{
+ */
+
+/**
+  @brief         Q31 matrix transpose.
+  @param[in]     pSrc      points to input matrix
+  @param[out]    pDst      points to output matrix
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS       : Operation successful
+                   - \ref ARM_MATH_SIZE_MISMATCH : Matrix size check failed
+ */
+
+arm_status arm_mat_trans_q31(
+  const arm_matrix_instance_q31 * pSrc,
+        arm_matrix_instance_q31 * pDst)
+{
+  q31_t *pIn = pSrc->pData;                      /* input data matrix pointer */
+  q31_t *pOut = pDst->pData;                     /* output data matrix pointer */
+  q31_t *px;                                     /* Temporary output data matrix pointer */
+  uint16_t nRows = pSrc->numRows;                /* number of rows */
+  uint16_t nCols = pSrc->numCols;                /* number of columns */
+  uint32_t col, row = nRows, i = 0U;             /* Loop counters */
+  arm_status status;                             /* status of matrix transpose */
+
+#ifdef ARM_MATH_MATRIX_CHECK
+
+  /* Check for matrix mismatch condition */
+  if ((pSrc->numRows != pDst->numCols) ||
+      (pSrc->numCols != pDst->numRows)   )
+  {
+    /* Set status as ARM_MATH_SIZE_MISMATCH */
+    status = ARM_MATH_SIZE_MISMATCH;
+  }
+  else
+
+#endif /* #ifdef ARM_MATH_MATRIX_CHECK */
+
+  {
+    /* Matrix transpose by exchanging the rows with columns */
+    /* row loop */
+    do
+    {
+      /* Pointer px is set to starting address of column being processed */
+      px = pOut + i;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+      /* Loop unrolling: Compute 4 outputs at a time */
+      col = nCols >> 2U;
+
+      while (col > 0U)        /* column loop */
+      {
+        /* Read and store input element in destination */
+        *px = *pIn++;
+        /* Update pointer px to point to next row of transposed matrix */
+        px += nRows;
+
+        *px = *pIn++;
+        px += nRows;
+
+        *px = *pIn++;
+        px += nRows;
+
+        *px = *pIn++;
+        px += nRows;
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      /* Loop unrolling: Compute remaining outputs */
+      col = nCols % 0x4U;
+
+#else
+
+      /* Initialize col with number of samples */
+      col = nCols;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+      while (col > 0U)
+      {
+        /* Read and store input element in destination */
+        *px = *pIn++;
+
+        /* Update pointer px to point to next row of transposed matrix */
+        px += nRows;
+
+        /* Decrement column loop counter */
+        col--;
+      }
+
+      i++;
+
+      /* Decrement row loop counter */
+      row--;
+
+    } while (row > 0U);          /* row loop end */
+
+    /* Set status as ARM_MATH_SUCCESS */
+    status = ARM_MATH_SUCCESS;
+  }
+
+  /* Return to application */
+  return (status);
+}
+
+/**
+  @} end of MatrixTrans group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/CMakeLists.txt
new file mode 100644
index 0000000..1a56e61
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/CMakeLists.txt
@@ -0,0 +1,16 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPStatistics)
+
+
+file(GLOB SRC "./*_*.c")
+
+add_library(CMSISDSPStatistics STATIC ${SRC})
+
+configdsp(CMSISDSPStatistics ..)
+
+### Includes
+target_include_directories(CMSISDSPStatistics PUBLIC "${DSP}/../../Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/StatisticsFunctions.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/StatisticsFunctions.c
new file mode 100644
index 0000000..ae74d02
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/StatisticsFunctions.c
@@ -0,0 +1,53 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        StatisticsFunctions.c
+ * Description:  Combination of all statistics function source files.
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_max_f32.c"
+#include "arm_max_q15.c"
+#include "arm_max_q31.c"
+#include "arm_max_q7.c"
+#include "arm_mean_f32.c"
+#include "arm_mean_q15.c"
+#include "arm_mean_q31.c"
+#include "arm_mean_q7.c"
+#include "arm_min_f32.c"
+#include "arm_min_q15.c"
+#include "arm_min_q31.c"
+#include "arm_min_q7.c"
+#include "arm_power_f32.c"
+#include "arm_power_q15.c"
+#include "arm_power_q31.c"
+#include "arm_power_q7.c"
+#include "arm_rms_f32.c"
+#include "arm_rms_q15.c"
+#include "arm_rms_q31.c"
+#include "arm_std_f32.c"
+#include "arm_std_q15.c"
+#include "arm_std_q31.c"
+#include "arm_var_f32.c"
+#include "arm_var_q15.c"
+#include "arm_var_q31.c"
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_f32.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_f32.c
new file mode 100644
index 0000000..f6ffafe
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_f32.c
@@ -0,0 +1,271 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_max_f32.c
+ * Description:  Maximum value of a floating-point vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#if defined(ARM_MATH_NEON)
+#include <limits.h>
+#endif
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @defgroup Max Maximum
+
+  Computes the maximum value of an array of data.
+  The function returns both the maximum value and its position within the array.
+  There are separate functions for floating-point, Q31, Q15, and Q7 data types.
+ */
+
+/**
+  @addtogroup Max
+  @{
+ */
+
+/**
+  @brief         Maximum value of a floating-point vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    maximum value returned here
+  @param[out]    pIndex     index of maximum value returned here
+  @return        none
+ */
+#if defined(ARM_MATH_NEON)
+void arm_max_f32(
+  const float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult,
+  uint32_t * pIndex)
+{
+  float32_t maxVal1, maxVal2, out;               /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex, count;              /* loop counter */
+
+  float32x4_t outV, srcV;
+  float32x2_t outV2;
+
+  uint32x4_t idxV;
+  uint32x4_t maxIdx={ULONG_MAX,ULONG_MAX,ULONG_MAX,ULONG_MAX};
+  uint32x4_t index={4,5,6,7};
+  uint32x4_t delta={4,4,4,4};
+  uint32x4_t countV={0,1,2,3};
+  uint32x2_t countV2;
+
+  /* Initialise the count value. */
+  count = 0U;
+
+  /* Initialise the index value to zero. */
+  outIndex = 0U;
+
+  /* Load first input value that act as reference value for comparison */
+  if (blockSize <= 3)
+  {
+      out = *pSrc++;
+
+      blkCnt = blockSize - 1;
+
+      while (blkCnt > 0U)
+      {
+        /* Initialize maxVal to the next consecutive values one by one */
+        maxVal1 = *pSrc++;
+    
+        /* compare for the maximum value */
+        if (out < maxVal1)
+        {
+          /* Update the maximum value and it's index */
+          out = maxVal1;
+          outIndex = blockSize - blkCnt;
+        }
+    
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+  }
+  else
+  {
+      outV = vld1q_f32(pSrc);
+      pSrc += 4;
+ 
+      /* Compute 4 outputs at a time */
+      blkCnt = (blockSize - 4 ) >> 2U;
+    
+      while (blkCnt > 0U)
+      {
+        srcV = vld1q_f32(pSrc);
+        pSrc += 4;
+    
+        idxV = vcgtq_f32(srcV, outV);
+        outV = vbslq_f32(idxV, srcV, outV );
+        countV = vbslq_u32(idxV, index,countV );
+    
+        index = vaddq_u32(index,delta);
+    
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    
+      outV2 = vpmax_f32(vget_low_f32(outV),vget_high_f32(outV));
+      outV2 = vpmax_f32(outV2,outV2);
+      out = outV2[0];
+    
+      idxV = vceqq_f32(outV, vdupq_n_f32(out));
+      countV = vbslq_u32(idxV, countV,maxIdx);
+      
+      countV2 = vpmin_u32(vget_low_u32(countV),vget_high_u32(countV));
+      countV2 = vpmin_u32(countV2,countV2);
+      outIndex = countV2[0];
+    
+      /* if (blockSize - 1U) is not multiple of 4 */
+      blkCnt = (blockSize - 4 ) % 4U;
+    
+      while (blkCnt > 0U)
+      {
+        /* Initialize maxVal to the next consecutive values one by one */
+        maxVal1 = *pSrc++;
+    
+        /* compare for the maximum value */
+        if (out < maxVal1)
+        {
+          /* Update the maximum value and it's index */
+          out = maxVal1;
+          outIndex = blockSize - blkCnt ;
+        }
+    
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    
+      
+  }
+
+  /* Store the maximum value and it's index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+#else
+void arm_max_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult,
+        uint32_t * pIndex)
+{
+        float32_t maxVal, out;                         /* Temporary variables to store the output value. */
+        uint32_t blkCnt, outIndex;                     /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        uint32_t index;                                /* index of maximum value */
+#endif
+
+  /* Initialise index value to zero. */
+  outIndex = 0U;
+
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  /* Initialise index of maximum value. */
+  index = 0U;
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = (blockSize - 1U) >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize maxVal to next consecutive values one by one */
+    maxVal = *pSrc++;
+
+    /* compare for the maximum value */
+    if (out < maxVal)
+    {
+      /* Update the maximum value and it's index */
+      out = maxVal;
+      outIndex = index + 1U;
+    }
+
+    maxVal = *pSrc++;
+    if (out < maxVal)
+    {
+      out = maxVal;
+      outIndex = index + 2U;
+    }
+
+    maxVal = *pSrc++;
+    if (out < maxVal)
+    {
+      out = maxVal;
+      outIndex = index + 3U;
+    }
+
+    maxVal = *pSrc++;
+    if (out < maxVal)
+    {
+      out = maxVal;
+      outIndex = index + 4U;
+    }
+
+    index += 4U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = (blockSize - 1U) % 4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = (blockSize - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize maxVal to the next consecutive values one by one */
+    maxVal = *pSrc++;
+
+    /* compare for the maximum value */
+    if (out < maxVal)
+    {
+      /* Update the maximum value and it's index */
+      out = maxVal;
+      outIndex = blockSize - blkCnt;
+    }
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store the maximum value and it's index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+/**
+  @} end of Max group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q15.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q15.c
new file mode 100644
index 0000000..dbead54
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q15.c
@@ -0,0 +1,148 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_max_q15.c
+ * Description:  Maximum value of a Q15 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup Max
+  @{
+ */
+
+/**
+  @brief         Maximum value of a Q15 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    maximum value returned here
+  @param[out]    pIndex     index of maximum value returned here
+  @return        none
+ */
+
+void arm_max_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult,
+        uint32_t * pIndex)
+{
+        q15_t maxVal, out;                             /* Temporary variables to store the output value. */
+        uint32_t blkCnt, outIndex;                     /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        uint32_t index;                                /* index of maximum value */
+#endif
+
+  /* Initialise index value to zero. */
+  outIndex = 0U;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  /* Initialise index of maximum value. */
+  index = 0U;
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = (blockSize - 1U) >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize maxVal to next consecutive values one by one */
+    maxVal = *pSrc++;
+
+    /* compare for the maximum value */
+    if (out < maxVal)
+    {
+      /* Update the maximum value and it's index */
+      out = maxVal;
+      outIndex = index + 1U;
+    }
+
+    maxVal = *pSrc++;
+    if (out < maxVal)
+    {
+      out = maxVal;
+      outIndex = index + 2U;
+    }
+
+    maxVal = *pSrc++;
+    if (out < maxVal)
+    {
+      out = maxVal;
+      outIndex = index + 3U;
+    }
+
+    maxVal = *pSrc++;
+    if (out < maxVal)
+    {
+      out = maxVal;
+      outIndex = index + 4U;
+    }
+
+    index += 4U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = (blockSize - 1U) % 4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = (blockSize - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize maxVal to the next consecutive values one by one */
+    maxVal = *pSrc++;
+
+    /* compare for the maximum value */
+    if (out < maxVal)
+    {
+      /* Update the maximum value and it's index */
+      out = maxVal;
+      outIndex = blockSize - blkCnt;
+    }
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store the maximum value and it's index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+
+/**
+  @} end of Max group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q31.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q31.c
new file mode 100644
index 0000000..5c6badf
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q31.c
@@ -0,0 +1,148 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_max_q31.c
+ * Description:  Maximum value of a Q31 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup Max
+  @{
+ */
+
+/**
+  @brief         Maximum value of a Q31 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    maximum value returned here
+  @param[out]    pIndex     index of maximum value returned here
+  @return        none
+ */
+
+void arm_max_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult,
+        uint32_t * pIndex)
+{
+        q31_t maxVal, out;                             /* Temporary variables to store the output value. */
+        uint32_t blkCnt, outIndex;                     /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        uint32_t index;                                /* index of maximum value */
+#endif
+
+  /* Initialise index value to zero. */
+  outIndex = 0U;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  /* Initialise index of maximum value. */
+  index = 0U;
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = (blockSize - 1U) >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize maxVal to next consecutive values one by one */
+    maxVal = *pSrc++;
+
+    /* compare for the maximum value */
+    if (out < maxVal)
+    {
+      /* Update the maximum value and it's index */
+      out = maxVal;
+      outIndex = index + 1U;
+    }
+
+    maxVal = *pSrc++;
+    if (out < maxVal)
+    {
+      out = maxVal;
+      outIndex = index + 2U;
+    }
+
+    maxVal = *pSrc++;
+    if (out < maxVal)
+    {
+      out = maxVal;
+      outIndex = index + 3U;
+    }
+
+    maxVal = *pSrc++;
+    if (out < maxVal)
+    {
+      out = maxVal;
+      outIndex = index + 4U;
+    }
+
+    index += 4U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = (blockSize - 1U) % 4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = (blockSize - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize maxVal to the next consecutive values one by one */
+    maxVal = *pSrc++;
+
+    /* compare for the maximum value */
+    if (out < maxVal)
+    {
+      /* Update the maximum value and it's index */
+      out = maxVal;
+      outIndex = blockSize - blkCnt;
+    }
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store the maximum value and it's index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+
+/**
+  @} end of Max group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q7.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q7.c
new file mode 100644
index 0000000..d4977e5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q7.c
@@ -0,0 +1,148 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_max_q7.c
+ * Description:  Maximum value of a Q7 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup Max
+  @{
+ */
+
+/**
+  @brief         Maximum value of a Q7 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    maximum value returned here
+  @param[out]    pIndex     index of maximum value returned here
+  @return        none
+ */
+
+void arm_max_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * pResult,
+        uint32_t * pIndex)
+{
+        q7_t maxVal, out;                              /* Temporary variables to store the output value. */
+        uint32_t blkCnt, outIndex;                     /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        uint32_t index;                                /* index of maximum value */
+#endif
+
+  /* Initialise index value to zero. */
+  outIndex = 0U;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  /* Initialise index of maximum value. */
+  index = 0U;
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = (blockSize - 1U) >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize maxVal to next consecutive values one by one */
+    maxVal = *pSrc++;
+
+    /* compare for the maximum value */
+    if (out < maxVal)
+    {
+      /* Update the maximum value and it's index */
+      out = maxVal;
+      outIndex = index + 1U;
+    }
+
+    maxVal = *pSrc++;
+    if (out < maxVal)
+    {
+      out = maxVal;
+      outIndex = index + 2U;
+    }
+
+    maxVal = *pSrc++;
+    if (out < maxVal)
+    {
+      out = maxVal;
+      outIndex = index + 3U;
+    }
+
+    maxVal = *pSrc++;
+    if (out < maxVal)
+    {
+      out = maxVal;
+      outIndex = index + 4U;
+    }
+
+    index += 4U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = (blockSize - 1U) % 4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = (blockSize - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize maxVal to the next consecutive values one by one */
+    maxVal = *pSrc++;
+
+    /* compare for the maximum value */
+    if (out < maxVal)
+    {
+      /* Update the maximum value and it's index */
+      out = maxVal;
+      outIndex = blockSize - blkCnt;
+    }
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store the maximum value and it's index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+
+/**
+  @} end of Max group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_f32.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_f32.c
new file mode 100644
index 0000000..3373f82
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_f32.c
@@ -0,0 +1,166 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mean_f32.c
+ * Description:  Mean value of a floating-point vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @defgroup mean Mean
+
+  Calculates the mean of the input vector. Mean is defined as the average of the elements in the vector.
+  The underlying algorithm is used:
+
+  <pre>
+      Result = (pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]) / blockSize;
+  </pre>
+
+  There are separate functions for floating-point, Q31, Q15, and Q7 data types.
+ */
+
+/**
+  @addtogroup mean
+  @{
+ */
+
+/**
+  @brief         Mean value of a floating-point vector.
+  @param[in]     pSrc       points to the input vector.
+  @param[in]     blockSize  number of samples in input vector.
+  @param[out]    pResult    mean value returned here.
+  @return        none
+ */
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+void arm_mean_f32(
+  const float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+  float32_t sum = 0.0f;                          /* Temporary result storage */
+  float32x4_t sumV = vdupq_n_f32(0.0f);                          /* Temporary result storage */
+  float32x2_t sumV2;
+
+  uint32_t blkCnt;                               /* Loop counter */
+
+  float32_t in1, in2, in3, in4;
+  float32x4_t inV;
+
+  blkCnt = blockSize >> 2U;
+
+  /* Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    inV = vld1q_f32(pSrc);
+    sumV = vaddq_f32(sumV, inV);
+    
+    pSrc += 4;
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
+  sum = sumV2[0] + sumV2[1];
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = blockSize & 3;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    sum += *pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
+  /* Store the result to the destination */
+  *pResult = sum / (float32_t) blockSize;
+}
+#else
+void arm_mean_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        float32_t sum = 0.0f;                          /* Temporary result storage */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    sum += *pSrc++;
+
+    sum += *pSrc++;
+
+    sum += *pSrc++;
+
+    sum += *pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    sum += *pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
+  /* Store result to destination */
+  *pResult = (sum / blockSize);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of mean group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c
new file mode 100644
index 0000000..09e6da9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c
@@ -0,0 +1,114 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mean_q15.c
+ * Description:  Mean value of a Q15 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup mean
+  @{
+ */
+
+/**
+  @brief         Mean value of a Q15 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    mean value returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 32-bit internal accumulator.
+                   The input is represented in 1.15 format and is accumulated in a 32-bit
+                   accumulator in 17.15 format.
+                   There is no risk of internal overflow with this approach, and the
+                   full precision of intermediate result is preserved.
+                   Finally, the accumulator is truncated to yield a result of 1.15 format.
+ */
+
+void arm_mean_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t sum = 0;                                 /* Temporary result storage */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t in;
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    in = read_q15x2_ia ((q15_t **) &pSrc);
+    sum += ((in << 16U) >> 16U);
+    sum +=  (in >> 16U);
+
+    in = read_q15x2_ia ((q15_t **) &pSrc);
+    sum += ((in << 16U) >> 16U);
+    sum +=  (in >> 16U);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    sum += *pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
+  /* Store result to destination */
+  *pResult = (q15_t) (sum / (int32_t) blockSize);
+}
+
+/**
+  @} end of mean group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c
new file mode 100644
index 0000000..7667ad8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c
@@ -0,0 +1,110 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mean_q31.c
+ * Description:  Mean value of a Q31 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup mean
+  @{
+ */
+
+/**
+  @brief         Mean value of a Q31 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    mean value returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   The input is represented in 1.31 format and is accumulated in a 64-bit
+                   accumulator in 33.31 format.
+                   There is no risk of internal overflow with this approach, and the
+                   full precision of intermediate result is preserved.
+                   Finally, the accumulator is truncated to yield a result of 1.31 format.
+ */
+
+void arm_mean_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q63_t sum = 0;                                 /* Temporary result storage */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    sum += *pSrc++;
+
+    sum += *pSrc++;
+
+    sum += *pSrc++;
+
+    sum += *pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    sum += *pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
+  /* Store result to destination */
+  *pResult = (q31_t) (sum / blockSize);
+}
+
+/**
+  @} end of mean group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q7.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q7.c
new file mode 100644
index 0000000..3f90ea8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q7.c
@@ -0,0 +1,112 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_mean_q7.c
+ * Description:  Mean value of a Q7 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup mean
+  @{
+ */
+
+/**
+  @brief         Mean value of a Q7 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    mean value returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 32-bit internal accumulator.
+                   The input is represented in 1.7 format and is accumulated in a 32-bit
+                   accumulator in 25.7 format.
+                   There is no risk of internal overflow with this approach, and the
+                   full precision of intermediate result is preserved.
+                   Finally, the accumulator is truncated to yield a result of 1.7 format.
+ */
+
+void arm_mean_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t sum = 0;                                 /* Temporary result storage */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t in;
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    in = read_q7x4_ia ((q7_t **) &pSrc);
+    sum += ((in << 24U) >> 24U);
+    sum += ((in << 16U) >> 24U);
+    sum += ((in <<  8U) >> 24U);
+    sum +=  (in >> 24U);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+    sum += *pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
+  /* Store result to destination */
+  *pResult = (q7_t) (sum / (int32_t) blockSize);
+}
+
+/**
+  @} end of mean group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_f32.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_f32.c
new file mode 100644
index 0000000..f6504aa
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_f32.c
@@ -0,0 +1,268 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_min_f32.c
+ * Description:  Minimum value of a floating-point vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include <limits.h>
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @defgroup Min Minimum
+
+  Computes the minimum value of an array of data.
+  The function returns both the minimum value and its position within the array.
+  There are separate functions for floating-point, Q31, Q15, and Q7 data types.
+ */
+
+/**
+  @addtogroup Min
+  @{
+ */
+
+/**
+  @brief         Minimum value of a floating-point vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    minimum value returned here
+  @param[out]    pIndex     index of minimum value returned here
+  @return        none
+ */
+#if defined(ARM_MATH_NEON)
+void arm_min_f32(
+  const float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult,
+  uint32_t * pIndex)
+{
+  float32_t maxVal1, maxVal2, out;               /* Temporary variables to store the output value. */
+  uint32_t blkCnt, outIndex, count;              /* loop counter */
+
+  float32x4_t outV, srcV;
+  float32x2_t outV2;
+
+  uint32x4_t idxV;
+  uint32x4_t maxIdx={ULONG_MAX,ULONG_MAX,ULONG_MAX,ULONG_MAX};
+  uint32x4_t index={4,5,6,7};
+  uint32x4_t delta={4,4,4,4};
+  uint32x4_t countV={0,1,2,3};
+  uint32x2_t countV2;
+
+  /* Initialise the count value. */
+  count = 0U;
+
+  /* Initialise the index value to zero. */
+  outIndex = 0U;
+
+  /* Load first input value that act as reference value for comparison */
+  if (blockSize <= 3)
+  {
+      out = *pSrc++;
+
+      blkCnt = blockSize - 1;
+
+      while (blkCnt > 0U)
+      {
+        /* Initialize maxVal to the next consecutive values one by one */
+        maxVal1 = *pSrc++;
+    
+        /* compare for the maximum value */
+        if (out > maxVal1)
+        {
+          /* Update the maximum value and it's index */
+          out = maxVal1;
+          outIndex = blockSize - blkCnt;
+        }
+    
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+  }
+  else
+  {
+      outV = vld1q_f32(pSrc);
+      pSrc += 4;
+    
+      /* Compute 4 outputs at a time */
+      blkCnt = (blockSize - 4 ) >> 2U;
+    
+      while (blkCnt > 0U)
+      {
+        srcV = vld1q_f32(pSrc);
+        pSrc += 4;
+    
+        idxV = vcltq_f32(srcV, outV);
+        outV = vbslq_f32(idxV, srcV, outV );
+        countV = vbslq_u32(idxV, index,countV );
+    
+        index = vaddq_u32(index,delta);
+    
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+    
+      outV2 = vpmin_f32(vget_low_f32(outV),vget_high_f32(outV));
+      outV2 = vpmin_f32(outV2,outV2);
+      out = outV2[0];
+    
+      idxV = vceqq_f32(outV, vdupq_n_f32(out));
+      countV = vbslq_u32(idxV, countV,maxIdx);
+      
+      countV2 = vpmin_u32(vget_low_u32(countV),vget_high_u32(countV));
+      countV2 = vpmin_u32(countV2,countV2);
+      outIndex = countV2[0];
+    
+      /* if (blockSize - 1U) is not multiple of 4 */
+      blkCnt = (blockSize - 4 ) % 4U;
+    
+      while (blkCnt > 0U)
+      {
+        /* Initialize maxVal to the next consecutive values one by one */
+        maxVal1 = *pSrc++;
+    
+        /* compare for the maximum value */
+        if (out > maxVal1)
+        {
+          /* Update the maximum value and it's index */
+          out = maxVal1;
+          outIndex = blockSize - blkCnt ;
+        }
+    
+        /* Decrement the loop counter */
+        blkCnt--;
+      }
+  }
+
+  /* Store the maximum value and it's index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+#else
+void arm_min_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult,
+        uint32_t * pIndex)
+{
+        float32_t minVal, out;                         /* Temporary variables to store the output value. */
+        uint32_t blkCnt, outIndex;                     /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        uint32_t index;                                /* index of maximum value */
+#endif
+
+  /* Initialise index value to zero. */
+  outIndex = 0U;
+
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  /* Initialise index of maximum value. */
+  index = 0U;
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = (blockSize - 1U) >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize minVal to next consecutive values one by one */
+    minVal = *pSrc++;
+
+    /* compare for the minimum value */
+    if (out > minVal)
+    {
+      /* Update the minimum value and it's index */
+      out = minVal;
+      outIndex = index + 1U;
+    }
+
+    minVal = *pSrc++;
+    if (out > minVal)
+    {
+      out = minVal;
+      outIndex = index + 2U;
+    }
+
+    minVal = *pSrc++;
+    if (out > minVal)
+    {
+      out = minVal;
+      outIndex = index + 3U;
+    }
+
+    minVal = *pSrc++;
+    if (out > minVal)
+    {
+      out = minVal;
+      outIndex = index + 4U;
+    }
+
+    index += 4U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = (blockSize - 1U) % 4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = (blockSize - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize minVal to the next consecutive values one by one */
+    minVal = *pSrc++;
+
+    /* compare for the minimum value */
+    if (out > minVal)
+    {
+      /* Update the minimum value and it's index */
+      out = minVal;
+      outIndex = blockSize - blkCnt;
+    }
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store the minimum value and it's index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of Min group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q15.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q15.c
new file mode 100644
index 0000000..67fd49e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q15.c
@@ -0,0 +1,149 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_min_q15.c
+ * Description:  Minimum value of a Q15 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+
+/**
+  @addtogroup Min
+  @{
+ */
+
+/**
+  @brief         Minimum value of a Q15 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    minimum value returned here
+  @param[out]    pIndex     index of minimum value returned here
+  @return        none
+ */
+
+void arm_min_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult,
+        uint32_t * pIndex)
+{
+        q15_t minVal, out;                             /* Temporary variables to store the output value. */
+        uint32_t blkCnt, outIndex;                     /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        uint32_t index;                                /* index of maximum value */
+#endif
+
+  /* Initialise index value to zero. */
+  outIndex = 0U;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  /* Initialise index of maximum value. */
+  index = 0U;
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = (blockSize - 1U) >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize minVal to next consecutive values one by one */
+    minVal = *pSrc++;
+
+    /* compare for the minimum value */
+    if (out > minVal)
+    {
+      /* Update the minimum value and it's index */
+      out = minVal;
+      outIndex = index + 1U;
+    }
+
+    minVal = *pSrc++;
+    if (out > minVal)
+    {
+      out = minVal;
+      outIndex = index + 2U;
+    }
+
+    minVal = *pSrc++;
+    if (out > minVal)
+    {
+      out = minVal;
+      outIndex = index + 3U;
+    }
+
+    minVal = *pSrc++;
+    if (out > minVal)
+    {
+      out = minVal;
+      outIndex = index + 4U;
+    }
+
+    index += 4U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = (blockSize - 1U) % 4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = (blockSize - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize minVal to the next consecutive values one by one */
+    minVal = *pSrc++;
+
+    /* compare for the minimum value */
+    if (out > minVal)
+    {
+      /* Update the minimum value and it's index */
+      out = minVal;
+      outIndex = blockSize - blkCnt;
+    }
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store the minimum value and it's index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+
+/**
+  @} end of Min group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q31.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q31.c
new file mode 100644
index 0000000..c362173
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q31.c
@@ -0,0 +1,149 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_min_q31.c
+ * Description:  Minimum value of a Q31 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+
+/**
+  @addtogroup Min
+  @{
+ */
+
+/**
+  @brief         Minimum value of a Q31 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    minimum value returned here
+  @param[out]    pIndex     index of minimum value returned here
+  @return        none
+ */
+
+void arm_min_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult,
+        uint32_t * pIndex)
+{
+        q31_t minVal, out;                             /* Temporary variables to store the output value. */
+        uint32_t blkCnt, outIndex;                     /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        uint32_t index;                                /* index of maximum value */
+#endif
+
+  /* Initialise index value to zero. */
+  outIndex = 0U;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  /* Initialise index of maximum value. */
+  index = 0U;
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = (blockSize - 1U) >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize minVal to next consecutive values one by one */
+    minVal = *pSrc++;
+
+    /* compare for the minimum value */
+    if (out > minVal)
+    {
+      /* Update the minimum value and it's index */
+      out = minVal;
+      outIndex = index + 1U;
+    }
+
+    minVal = *pSrc++;
+    if (out > minVal)
+    {
+      out = minVal;
+      outIndex = index + 2U;
+    }
+
+    minVal = *pSrc++;
+    if (out > minVal)
+    {
+      out = minVal;
+      outIndex = index + 3U;
+    }
+
+    minVal = *pSrc++;
+    if (out > minVal)
+    {
+      out = minVal;
+      outIndex = index + 4U;
+    }
+
+    index += 4U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = (blockSize - 1U) % 4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = (blockSize - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize minVal to the next consecutive values one by one */
+    minVal = *pSrc++;
+
+    /* compare for the minimum value */
+    if (out > minVal)
+    {
+      /* Update the minimum value and it's index */
+      out = minVal;
+      outIndex = blockSize - blkCnt;
+    }
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store the minimum value and it's index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+
+/**
+  @} end of Min group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q7.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q7.c
new file mode 100644
index 0000000..4329630
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q7.c
@@ -0,0 +1,149 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_min_q7.c
+ * Description:  Minimum value of a Q7 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+
+/**
+  @addtogroup Min
+  @{
+ */
+
+/**
+  @brief         Minimum value of a Q7 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    minimum value returned here
+  @param[out]    pIndex     index of minimum value returned here
+  @return        none
+ */
+
+void arm_min_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q7_t * pResult,
+        uint32_t * pIndex)
+{
+        q7_t minVal, out;                              /* Temporary variables to store the output value. */
+        uint32_t blkCnt, outIndex;                     /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        uint32_t index;                                /* index of maximum value */
+#endif
+
+  /* Initialise index value to zero. */
+  outIndex = 0U;
+  /* Load first input value that act as reference value for comparision */
+  out = *pSrc++;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  /* Initialise index of maximum value. */
+  index = 0U;
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = (blockSize - 1U) >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize minVal to next consecutive values one by one */
+    minVal = *pSrc++;
+
+    /* compare for the minimum value */
+    if (out > minVal)
+    {
+      /* Update the minimum value and it's index */
+      out = minVal;
+      outIndex = index + 1U;
+    }
+
+    minVal = *pSrc++;
+    if (out > minVal)
+    {
+      out = minVal;
+      outIndex = index + 2U;
+    }
+
+    minVal = *pSrc++;
+    if (out > minVal)
+    {
+      out = minVal;
+      outIndex = index + 3U;
+    }
+
+    minVal = *pSrc++;
+    if (out > minVal)
+    {
+      out = minVal;
+      outIndex = index + 4U;
+    }
+
+    index += 4U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = (blockSize - 1U) % 4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = (blockSize - 1U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* Initialize minVal to the next consecutive values one by one */
+    minVal = *pSrc++;
+
+    /* compare for the minimum value */
+    if (out > minVal)
+    {
+      /* Update the minimum value and it's index */
+      out = minVal;
+      outIndex = blockSize - blkCnt;
+    }
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store the minimum value and it's index into destination pointers */
+  *pResult = out;
+  *pIndex = outIndex;
+}
+
+/**
+  @} end of Min group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_f32.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_f32.c
new file mode 100644
index 0000000..abf444b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_f32.c
@@ -0,0 +1,175 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_power_f32.c
+ * Description:  Sum of the squares of the elements of a floating-point vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @defgroup power Power
+
+  Calculates the sum of the squares of the elements in the input vector.
+  The underlying algorithm is used:
+
+  <pre>
+      Result = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + pSrc[2] * pSrc[2] + ... + pSrc[blockSize-1] * pSrc[blockSize-1];
+  </pre>
+
+  There are separate functions for floating point, Q31, Q15, and Q7 data types.
+ */
+
+/**
+  @addtogroup power
+  @{
+ */
+
+/**
+  @brief         Sum of the squares of the elements of a floating-point vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    sum of the squares value returned here
+  @return        none
+ */
+#if defined(ARM_MATH_NEON)
+void arm_power_f32(
+  const float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+  float32_t sum = 0.0f;                          /* accumulator */
+  float32_t in;                                  /* Temporary variable to store input value */
+  uint32_t blkCnt;                               /* loop counter */
+
+  float32x4_t sumV = vdupq_n_f32(0.0f);                          /* Temporary result storage */
+  float32x2_t sumV2;
+  float32x4_t inV;
+
+  blkCnt = blockSize >> 2U;
+
+  /* Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute Power and then store the result in a temporary variable, sum. */
+    inV = vld1q_f32(pSrc);
+    sumV = vmlaq_f32(sumV, inV, inV);
+    pSrc += 4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+  sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
+  sum = sumV2[0] + sumV2[1];
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* compute power and then store the result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += in * in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Store the result to the destination */
+  *pResult = sum;
+}
+#else
+void arm_power_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        float32_t sum = 0.0f;                          /* Temporary result storage */
+        float32_t in;                                  /* Temporary variable to store input value */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    /* Compute Power and store result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += in * in;
+
+    in = *pSrc++;
+    sum += in * in;
+
+    in = *pSrc++;
+    sum += in * in;
+
+    in = *pSrc++;
+    sum += in * in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    /* Compute Power and store result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += in * in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store result to destination */
+  *pResult = sum;
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of power group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q15.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q15.c
new file mode 100644
index 0000000..62e567f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q15.c
@@ -0,0 +1,132 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_power_q15.c
+ * Description:  Sum of the squares of the elements of a Q15 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup power
+  @{
+ */
+
+/**
+  @brief         Sum of the squares of the elements of a Q15 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    sum of the squares value returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   The input is represented in 1.15 format.
+                   Intermediate multiplication yields a 2.30 format, and this
+                   result is added without saturation to a 64-bit accumulator in 34.30 format.
+                   With 33 guard bits in the accumulator, there is no risk of overflow, and the
+                   full precision of the intermediate multiplication is preserved.
+                   Finally, the return result is in 34.30 format.
+ */
+
+void arm_power_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q63_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q63_t sum = 0;                                 /* Temporary result storage */
+        q15_t in;                                      /* Temporary variable to store input value */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+        q31_t in32;                                    /* Temporary variable to store packed input value */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    /* Compute Power and store result in a temporary variable, sum. */
+#if defined (ARM_MATH_DSP)
+    in32 = read_q15x2_ia ((q15_t **) &pSrc);
+    sum = __SMLALD(in32, in32, sum);
+
+    in32 = read_q15x2_ia ((q15_t **) &pSrc);
+    sum = __SMLALD(in32, in32, sum);
+#else
+    in = *pSrc++;
+    sum += ((q31_t) in * in);
+
+    in = *pSrc++;
+    sum += ((q31_t) in * in);
+
+    in = *pSrc++;
+    sum += ((q31_t) in * in);
+
+    in = *pSrc++;
+    sum += ((q31_t) in * in);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    /* Compute Power and store result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += ((q31_t) in * in);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store result in 34.30 format */
+  *pResult = sum;
+}
+
+/**
+  @} end of power group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c
new file mode 100644
index 0000000..aa51d0f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c
@@ -0,0 +1,121 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_power_q31.c
+ * Description:  Sum of the squares of the elements of a Q31 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup power
+  @{
+ */
+
+/**
+  @brief         Sum of the squares of the elements of a Q31 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    sum of the squares value returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   The input is represented in 1.31 format.
+                   Intermediate multiplication yields a 2.62 format, and this
+                   result is truncated to 2.48 format by discarding the lower 14 bits.
+                   The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format.
+                   With 15 guard bits in the accumulator, there is no risk of overflow, and the
+                   full precision of the intermediate multiplication is preserved.
+                   Finally, the return result is in 16.48 format.
+ */
+
+void arm_power_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q63_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q63_t sum = 0;                                 /* Temporary result storage */
+        q31_t in;                                      /* Temporary variable to store input value */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    /* Compute Power then shift intermediate results by 14 bits to maintain 16.48 format and store result in a temporary variable sum, providing 15 guard bits. */
+    in = *pSrc++;
+    sum += ((q63_t) in * in) >> 14U;
+
+    in = *pSrc++;
+    sum += ((q63_t) in * in) >> 14U;
+
+    in = *pSrc++;
+    sum += ((q63_t) in * in) >> 14U;
+
+    in = *pSrc++;
+    sum += ((q63_t) in * in) >> 14U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    /* Compute Power and store result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += ((q63_t) in * in) >> 14U;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store results in 16.48 format */
+  *pResult = sum;
+}
+
+/**
+  @} end of power group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c
new file mode 100644
index 0000000..eefa8ba
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c
@@ -0,0 +1,136 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_power_q7.c
+ * Description:  Sum of the squares of the elements of a Q7 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup power
+  @{
+ */
+
+/**
+  @brief         Sum of the squares of the elements of a Q7 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    sum of the squares value returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 32-bit internal accumulator.
+                   The input is represented in 1.7 format.
+                   Intermediate multiplication yields a 2.14 format, and this
+                   result is added without saturation to an accumulator in 18.14 format.
+                   With 17 guard bits in the accumulator, there is no risk of overflow, and the
+                   full precision of the intermediate multiplication is preserved.
+                   Finally, the return result is in 18.14 format.
+ */
+
+void arm_power_q7(
+  const q7_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t sum = 0;                                 /* Temporary result storage */
+        q7_t in;                                       /* Temporary variable to store input value */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+        q31_t in32;                                    /* Temporary variable to store packed input value */
+        q31_t in1, in2;                                /* Temporary variables to store input value */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    /* Compute Power and store result in a temporary variable, sum. */
+#if defined (ARM_MATH_DSP)
+    in32 = read_q7x4_ia ((q7_t **) &pSrc);
+
+    in1 = __SXTB16(__ROR(in32, 8));
+    in2 = __SXTB16(in32);
+
+    /* calculate power and accumulate to accumulator */
+    sum = __SMLAD(in1, in1, sum);
+    sum = __SMLAD(in2, in2, sum);
+#else
+    in = *pSrc++;
+    sum += ((q15_t) in * in);
+
+    in = *pSrc++;
+    sum += ((q15_t) in * in);
+
+    in = *pSrc++;
+    sum += ((q15_t) in * in);
+
+    in = *pSrc++;
+    sum += ((q15_t) in * in);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    /* Compute Power and store result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += ((q15_t) in * in);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Store result in 18.14 format */
+  *pResult = sum;
+}
+
+/**
+  @} end of power group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c
new file mode 100644
index 0000000..4f316fb
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c
@@ -0,0 +1,176 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rms_f32.c
+ * Description:  Root mean square value of the elements of a floating-point vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @defgroup RMS Root mean square (RMS)
+
+  Calculates the Root Mean Square of the elements in the input vector.
+  The underlying algorithm is used:
+
+  <pre>
+      Result = sqrt(((pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]) / blockSize));
+  </pre>
+
+  There are separate functions for floating point, Q31, and Q15 data types.
+ */
+
+/**
+  @addtogroup RMS
+  @{
+ */
+
+/**
+  @brief         Root Mean Square of the elements of a floating-point vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    root mean square value returned here
+  @return        none
+ */
+#if defined(ARM_MATH_NEON)
+void arm_rms_f32(
+  const float32_t * pSrc,
+  uint32_t blockSize,
+  float32_t * pResult)
+{
+  float32_t sum = 0.0f;                          /* accumulator */
+  float32_t in;                                  /* Temporary variable to store input value */
+  uint32_t blkCnt;                               /* loop counter */
+
+  float32x4_t sumV = vdupq_n_f32(0.0f);                          /* Temporary result storage */
+  float32x2_t sumV2;
+  float32x4_t inV;
+
+  blkCnt = blockSize >> 2U;
+
+  /* Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute Power and then store the result in a temporary variable, sum. */
+    inV = vld1q_f32(pSrc);
+    sumV = vmlaq_f32(sumV, inV, inV);
+    pSrc += 4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
+  sum = sumV2[0] + sumV2[1];
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* compute power and then store the result in a temporary variable, sum. */
+    in = *pSrc++;
+    sum += in * in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Rms and store the result in the destination */
+  arm_sqrt_f32(sum / (float32_t) blockSize, pResult);
+}
+#else
+void arm_rms_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        float32_t sum = 0.0f;                          /* Temporary result storage */
+        float32_t in;                                  /* Temporary variable to store input value */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    in = *pSrc++;
+    /* Compute sum of squares and store result in a temporary variable, sum. */
+    sum += in * in;
+
+    in = *pSrc++;
+    sum += in * in;
+
+    in = *pSrc++;
+    sum += in * in;
+
+    in = *pSrc++;
+    sum += in * in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    in = *pSrc++;
+    /* Compute sum of squares and store result in a temporary variable. */
+    sum += ( in * in);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Rms and store result in destination */
+  arm_sqrt_f32(sum / (float32_t) blockSize, pResult);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of RMS group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c
new file mode 100644
index 0000000..c8a0a13
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rms_q15.c
+ * Description:  Root Mean Square of the elements of a Q15 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup RMS
+  @{
+ */
+
+/**
+  @brief         Root Mean Square of the elements of a Q15 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    root mean square value returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   The input is represented in 1.15 format.
+                   Intermediate multiplication yields a 2.30 format, and this
+                   result is added without saturation to a 64-bit accumulator in 34.30 format.
+                   With 33 guard bits in the accumulator, there is no risk of overflow, and the
+                   full precision of the intermediate multiplication is preserved.
+                   Finally, the 34.30 result is truncated to 34.15 format by discarding the lower
+                   15 bits, and then saturated to yield a result in 1.15 format.
+ */
+
+void arm_rms_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q63_t sum = 0;                                 /* Temporary result storage */
+        q15_t in;                                      /* Temporary variable to store input value */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+        q31_t in32;                                    /* Temporary variable to store input value */
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    /* Compute sum of squares and store result in a temporary variable. */
+#if defined (ARM_MATH_DSP)
+    in32 = read_q15x2_ia ((q15_t **) &pSrc);
+    sum = __SMLALD(in32, in32, sum);
+
+    in32 = read_q15x2_ia ((q15_t **) &pSrc);
+    sum = __SMLALD(in32, in32, sum);
+#else
+    in = *pSrc++;
+    sum += ((q31_t) in * in);
+
+    in = *pSrc++;
+    sum += ((q31_t) in * in);
+
+    in = *pSrc++;
+    sum += ((q31_t) in * in);
+
+    in = *pSrc++;
+    sum += ((q31_t) in * in);
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    in = *pSrc++;
+    /* Compute sum of squares and store result in a temporary variable. */
+    sum += ((q31_t) in * in);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Truncating and saturating the accumulator to 1.15 format */
+  /* Store result in destination */
+  arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult);
+}
+
+/**
+  @} end of RMS group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c
new file mode 100644
index 0000000..4cf086f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c
@@ -0,0 +1,124 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rms_q31.c
+ * Description:  Root Mean Square of the elements of a Q31 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup RMS
+  @{
+ */
+
+/**
+  @brief         Root Mean Square of the elements of a Q31 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    root mean square value returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The input is represented in 1.31 format, and intermediate multiplication
+                   yields a 2.62 format.
+                   The accumulator maintains full precision of the intermediate multiplication results,
+                   but provides only a single guard bit.
+                   There is no saturation on intermediate additions.
+                   If the accumulator overflows, it wraps around and distorts the result.
+                   In order to avoid overflows completely, the input signal must be scaled down by
+                   log2(blockSize) bits, as a total of blockSize additions are performed internally.
+                   Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value.
+ */
+
+void arm_rms_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        uint64_t sum = 0;                              /* Temporary result storage (can get never negative. changed type from q63 to uint64 */
+        q31_t in;                                      /* Temporary variable to store input value */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    in = *pSrc++;
+    /* Compute sum of squares and store result in a temporary variable, sum. */
+    sum += ((q63_t) in * in);
+
+    in = *pSrc++;
+    sum += ((q63_t) in * in);
+
+    in = *pSrc++;
+    sum += ((q63_t) in * in);
+
+    in = *pSrc++;
+    sum += ((q63_t) in * in);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+
+    in = *pSrc++;
+    /* Compute sum of squares and store result in a temporary variable. */
+    sum += ((q63_t) in * in);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Convert data in 2.62 to 1.31 by 31 right shifts and saturate */
+  /* Compute Rms and store result in destination vector */
+  arm_sqrt_q31(clip_q63_to_q31((sum / (q63_t) blockSize) >> 31), pResult);
+}
+
+/**
+  @} end of RMS group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_f32.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_f32.c
new file mode 100644
index 0000000..214a794
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_f32.c
@@ -0,0 +1,188 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_std_f32.c
+ * Description:  Standard deviation of the elements of a floating-point vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @defgroup STD Standard deviation
+
+  Calculates the standard deviation of the elements in the input vector.
+  The underlying algorithm is used:
+
+  <pre>
+      Result = sqrt((sumOfSquares - sum<sup>2</sup> / blockSize) / (blockSize - 1))
+
+      sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]
+      sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]
+  </pre>
+
+  There are separate functions for floating point, Q31, and Q15 data types.
+ */
+
+/**
+  @addtogroup STD
+  @{
+ */
+
+/**
+  @brief         Standard deviation of the elements of a floating-point vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    standard deviation value returned here
+  @return        none
+ */
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+void arm_std_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult)
+{
+  float32_t var;
+  arm_var_f32(pSrc,blockSize,&var);
+  arm_sqrt_f32(var, pResult);
+}
+#else
+void arm_std_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        float32_t sum = 0.0f;                          /* Temporary result storage */
+        float32_t sumOfSquares = 0.0f;                 /* Sum of squares */
+        float32_t in;                                  /* Temporary variable to store input value */
+
+#ifndef ARM_MATH_CM0_FAMILY
+        float32_t meanOfSquares, mean, squareOfMean;   /* Temporary variables */
+#else
+        float32_t squareOfSum;                         /* Square of Sum */
+        float32_t var;                                 /* Temporary varaince storage */
+#endif
+
+  if (blockSize <= 1U)
+  {
+    *pResult = 0;
+    return;
+  }
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* C = A[0] + A[1] + ... + A[blockSize-1] */
+
+    in = *pSrc++;
+    /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */
+    sumOfSquares += in * in;
+    /* Compute sum and store result in a temporary variable, sum. */
+    sum += in;
+
+    in = *pSrc++;
+    sumOfSquares += in * in;
+    sum += in;
+
+    in = *pSrc++;
+    sumOfSquares += in * in;
+    sum += in;
+
+    in = *pSrc++;
+    sumOfSquares += in * in;
+    sum += in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* C = A[0] + A[1] + ... + A[blockSize-1] */
+
+    in = *pSrc++;
+    /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */
+    sumOfSquares += ( in * in);
+    /* Compute sum and store result in a temporary variable, sum. */
+    sum += in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+#ifndef ARM_MATH_CM0_FAMILY
+
+  /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */
+  meanOfSquares = sumOfSquares / ((float32_t) blockSize - 1.0f);
+
+  /* Compute mean of all input values */
+  mean = sum / (float32_t) blockSize;
+
+  /* Compute square of mean */
+  squareOfMean = (mean * mean) * (((float32_t) blockSize) /
+                                  ((float32_t) blockSize - 1.0f));
+
+  /* Compute standard deviation and store result to destination */
+  arm_sqrt_f32((meanOfSquares - squareOfMean), pResult);
+
+#else
+  /* Run the below code for Cortex-M0 */
+
+  /* Compute square of sum */
+  squareOfSum = ((sum * sum) / (float32_t) blockSize);
+
+  /* Compute variance */
+  var = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f));
+
+  /* Compute standard deviation and store result in destination */
+  arm_sqrt_f32(var, pResult);
+
+#endif /* #ifndef ARM_MATH_CM0_FAMILY */
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of STD group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q15.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q15.c
new file mode 100644
index 0000000..70d142d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q15.c
@@ -0,0 +1,161 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_std_q15.c
+ * Description:  Standard deviation of an array of Q15 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup STD
+  @{
+ */
+
+/**
+  @brief         Standard deviation of the elements of a Q15 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    standard deviation value returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   The input is represented in 1.15 format.
+                   Intermediate multiplication yields a 2.30 format, and this
+                   result is added without saturation to a 64-bit accumulator in 34.30 format.
+                   With 33 guard bits in the accumulator, there is no risk of overflow, and the
+                   full precision of the intermediate multiplication is preserved.
+                   Finally, the 34.30 result is truncated to 34.15 format by discarding the lower
+                   15 bits, and then saturated to yield a result in 1.15 format.
+ */
+
+void arm_std_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t sum = 0;                                 /* Accumulator */
+        q31_t meanOfSquares, squareOfMean;             /* Square of mean and mean of square */
+        q63_t sumOfSquares = 0;                        /* Sum of squares */
+        q15_t in;                                      /* Temporary variable to store input value */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+  q31_t in32;                                    /* Temporary variable to store input value */
+#endif
+
+  if (blockSize <= 1U)
+  {
+    *pResult = 0;
+    return;
+  }
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* C = A[0] + A[1] + ... + A[blockSize-1] */
+
+    /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */
+    /* Compute sum and store result in a temporary variable, sum. */
+#if defined (ARM_MATH_DSP)
+    in32 = read_q15x2_ia ((q15_t **) &pSrc);
+    sumOfSquares = __SMLALD(in32, in32, sumOfSquares);
+    sum += ((in32 << 16U) >> 16U);
+    sum +=  (in32 >> 16U);
+
+    in32 = read_q15x2_ia ((q15_t **) &pSrc);
+    sumOfSquares = __SMLALD(in32, in32, sumOfSquares);
+    sum += ((in32 << 16U) >> 16U);
+    sum +=  (in32 >> 16U);
+#else
+    in = *pSrc++;
+    sumOfSquares += (in * in);
+    sum += in;
+
+    in = *pSrc++;
+    sumOfSquares += (in * in);
+    sum += in;
+
+    in = *pSrc++;
+    sumOfSquares += (in * in);
+    sum += in;
+
+    in = *pSrc++;
+    sumOfSquares += (in * in);
+    sum += in;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* C = A[0] + A[1] + ... + A[blockSize-1] */
+
+    in = *pSrc++;
+    /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */
+    sumOfSquares += (in * in);
+    /* Compute sum and store result in a temporary variable, sum. */
+    sum += in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */
+  meanOfSquares = (q31_t) (sumOfSquares / (q63_t)(blockSize - 1U));
+
+  /* Compute square of mean */
+  squareOfMean = (q31_t) ((q63_t) sum * sum / (q63_t)(blockSize * (blockSize - 1U)));
+
+  /* mean of squares minus the square of mean. */
+  /* Compute standard deviation and store result in destination */
+  arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15U, 16U), pResult);
+}
+
+/**
+  @} end of STD group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c
new file mode 100644
index 0000000..1452a69
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c
@@ -0,0 +1,147 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_std_q31.c
+ * Description:  Standard deviation of the elements of a Q31 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup STD
+  @{
+ */
+
+/**
+  @brief         Standard deviation of the elements of a Q31 vector.
+  @param[in]     pSrc       points to the input vector.
+  @param[in]     blockSize  number of samples in input vector.
+  @param[out]    pResult    standard deviation value returned here.
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The input is represented in 1.31 format, which is then downshifted by 8 bits
+                   which yields 1.23, and intermediate multiplication yields a 2.46 format.
+                   The accumulator maintains full precision of the intermediate multiplication results,
+                   but provides only a 16 guard bits.
+                   There is no saturation on intermediate additions.
+                   If the accumulator overflows it wraps around and distorts the result.
+                   In order to avoid overflows completely the input signal must be scaled down by
+                   log2(blockSize)-8 bits, as a total of blockSize additions are performed internally.
+                   After division, internal variables should be Q18.46
+                   Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value.
+ */
+
+void arm_std_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q63_t sum = 0;                                 /* Accumulator */
+        q63_t meanOfSquares, squareOfMean;             /* Square of mean and mean of square */
+        q63_t sumOfSquares = 0;                        /* Sum of squares */
+        q31_t in;                                      /* Temporary variable to store input value */
+
+  if (blockSize <= 1U)
+  {
+    *pResult = 0;
+    return;
+  }
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* C = A[0] + A[1] + ... + A[blockSize-1] */
+
+    in = *pSrc++ >> 8U;
+    /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */
+    sumOfSquares += ((q63_t) (in) * (in));
+    /* Compute sum and store result in a temporary variable, sum. */
+    sum += in;
+
+    in = *pSrc++ >> 8U;
+    sumOfSquares += ((q63_t) (in) * (in));
+    sum += in;
+
+    in = *pSrc++ >> 8U;
+    sumOfSquares += ((q63_t) (in) * (in));
+    sum += in;
+
+    in = *pSrc++ >> 8U;
+    sumOfSquares += ((q63_t) (in) * (in));
+    sum += in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* C = A[0] + A[1] + ... + A[blockSize-1] */
+
+    in = *pSrc++ >> 8U;
+    /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */
+    sumOfSquares += ((q63_t) (in) * (in));
+    /* Compute sum and store result in a temporary variable, sum. */
+    sum += in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */
+  meanOfSquares = (sumOfSquares / (q63_t)(blockSize - 1U));
+
+  /* Compute square of mean */
+  squareOfMean = ( sum * sum / (q63_t)(blockSize * (blockSize - 1U)));
+
+  /* Compute standard deviation and store result in destination */
+  arm_sqrt_q31((meanOfSquares - squareOfMean) >> 15U, pResult);
+}
+
+/**
+  @} end of STD group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_f32.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_f32.c
new file mode 100644
index 0000000..18f5806
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_f32.c
@@ -0,0 +1,234 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_var_f32.c
+ * Description:  Variance of the elements of a floating-point vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @defgroup variance  Variance
+
+  Calculates the variance of the elements in the input vector.
+  The underlying algorithm used is the direct method sometimes referred to as the two-pass method:
+
+  <pre>
+      Result = sum(element - meanOfElements)^2) / numElement - 1
+
+      meanOfElements = ( pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] ) / blockSize
+  </pre>
+
+  There are separate functions for floating point, Q31, and Q15 data types.
+ */
+
+/**
+  @addtogroup variance
+  @{
+ */
+
+/**
+  @brief         Variance of the elements of a floating-point vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    variance value returned here
+  @return        none
+ */
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+void arm_var_f32(
+           const float32_t * pSrc,
+                 uint32_t blockSize,
+                 float32_t * pResult)
+{
+  float32_t mean;
+
+  float32_t sum = 0.0f;                          /* accumulator */
+  float32_t in;                                  /* Temporary variable to store input value */
+  uint32_t blkCnt;                               /* loop counter */
+
+  float32x4_t sumV = vdupq_n_f32(0.0f);                          /* Temporary result storage */
+  float32x2_t sumV2;
+  float32x4_t inV;
+  float32x4_t avg;
+
+  arm_mean_f32(pSrc,blockSize,&mean);
+  avg = vdupq_n_f32(mean);
+
+  blkCnt = blockSize >> 2U;
+
+  /* Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* Compute Power and then store the result in a temporary variable, sum. */
+    inV = vld1q_f32(pSrc);
+    inV = vsubq_f32(inV, avg);
+    sumV = vmlaq_f32(sumV, inV, inV);
+    pSrc += 4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  sumV2 = vpadd_f32(vget_low_f32(sumV),vget_high_f32(sumV));
+  sum = sumV2[0] + sumV2[1];
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = blockSize % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* compute power and then store the result in a temporary variable, sum. */
+    in = *pSrc++;
+    in = in - mean;
+    sum += in * in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* Variance */
+  *pResult = sum / (float32_t)(blockSize - 1.0f);
+
+}
+
+#else
+void arm_var_f32(
+  const float32_t * pSrc,
+        uint32_t blockSize,
+        float32_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        float32_t sum = 0.0f;                          /* Temporary result storage */
+        float32_t fSum = 0.0f;
+        float32_t fMean, fValue;
+  const float32_t * pInput = pSrc;
+
+  if (blockSize <= 1U)
+  {
+    *pResult = 0;
+    return;
+  }
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+
+    sum += *pInput++;
+    sum += *pInput++;
+    sum += *pInput++;
+    sum += *pInput++;
+
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */
+
+    sum += *pInput++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize  */
+  fMean = sum / (float32_t) blockSize;
+
+  pInput = pSrc;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    fValue = *pInput++ - fMean;
+    fSum += fValue * fValue;
+
+    fValue = *pInput++ - fMean;
+    fSum += fValue * fValue;
+
+    fValue = *pInput++ - fMean;
+    fSum += fValue * fValue;
+
+    fValue = *pInput++ - fMean;
+    fSum += fValue * fValue;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    fValue = *pInput++ - fMean;
+    fSum += fValue * fValue;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Variance */
+  *pResult = fSum / (float32_t)(blockSize - 1.0f);
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of variance group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q15.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q15.c
new file mode 100644
index 0000000..4218522
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q15.c
@@ -0,0 +1,164 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_var_q15.c
+ * Description:  Variance of an array of Q15 type
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup variance
+  @{
+ */
+
+/**
+  @brief         Variance of the elements of a Q15 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    variance value returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using a 64-bit internal accumulator.
+                   The input is represented in 1.15 format.
+                   Intermediate multiplication yields a 2.30 format, and this
+                   result is added without saturation to a 64-bit accumulator in 34.30 format.
+                   With 33 guard bits in the accumulator, there is no risk of overflow, and the
+                   full precision of the intermediate multiplication is preserved.
+                   Finally, the 34.30 result is truncated to 34.15 format by discarding the lower
+                   15 bits, and then saturated to yield a result in 1.15 format.
+ */
+
+void arm_var_q15(
+  const q15_t * pSrc,
+        uint32_t blockSize,
+        q15_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q31_t sum = 0;                                 /* Accumulator */
+        q31_t meanOfSquares, squareOfMean;             /* Square of mean and mean of square */
+        q63_t sumOfSquares = 0;                        /* Sum of squares */
+        q15_t in;                                      /* Temporary variable to store input value */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+        q31_t in32;                                    /* Temporary variable to store input value */
+#endif
+
+  if (blockSize <= 1U)
+  {
+    *pResult = 0;
+    return;
+  }
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* C = A[0] + A[1] + ... + A[blockSize-1] */
+
+    /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */
+    /* Compute sum and store result in a temporary variable, sum. */
+#if defined (ARM_MATH_DSP)
+    in32 = read_q15x2_ia ((q15_t **) &pSrc);
+    sumOfSquares = __SMLALD(in32, in32, sumOfSquares);
+    sum += ((in32 << 16U) >> 16U);
+    sum +=  (in32 >> 16U);
+
+    in32 = read_q15x2_ia ((q15_t **) &pSrc);
+    sumOfSquares = __SMLALD(in32, in32, sumOfSquares);
+    sum += ((in32 << 16U) >> 16U);
+    sum +=  (in32 >> 16U);
+#else
+    in = *pSrc++;
+    sumOfSquares += (in * in);
+    sum += in;
+
+    in = *pSrc++;
+    sumOfSquares += (in * in);
+    sum += in;
+
+    in = *pSrc++;
+    sumOfSquares += (in * in);
+    sum += in;
+
+    in = *pSrc++;
+    sumOfSquares += (in * in);
+    sum += in;
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* C = A[0] + A[1] + ... + A[blockSize-1] */
+
+    in = *pSrc++;
+    /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */
+#if defined (ARM_MATH_DSP)
+    sumOfSquares = __SMLALD(in, in, sumOfSquares);
+#else
+    sumOfSquares += (in * in);
+#endif /* #if defined (ARM_MATH_DSP) */
+    /* Compute sum and store result in a temporary variable, sum. */
+    sum += in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */
+  meanOfSquares = (q31_t) (sumOfSquares / (q63_t)(blockSize - 1U));
+
+  /* Compute square of mean */
+  squareOfMean = (q31_t) ((q63_t) sum * sum / (q63_t)(blockSize * (blockSize - 1U)));
+
+  /* mean of squares minus the square of mean. */
+  *pResult = (meanOfSquares - squareOfMean) >> 15U;
+}
+
+/**
+  @} end of variance group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q31.c b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q31.c
new file mode 100644
index 0000000..6b552db
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q31.c
@@ -0,0 +1,147 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_var_q31.c
+ * Description:  Variance of an array of Q31 type
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupStats
+ */
+
+/**
+  @addtogroup variance
+  @{
+ */
+
+/**
+  @brief         Variance of the elements of a Q31 vector.
+  @param[in]     pSrc       points to the input vector
+  @param[in]     blockSize  number of samples in input vector
+  @param[out]    pResult    variance value returned here
+  @return        none
+
+  @par           Scaling and Overflow Behavior
+                   The function is implemented using an internal 64-bit accumulator.
+                   The input is represented in 1.31 format, which is then downshifted by 8 bits
+                   which yields 1.23, and intermediate multiplication yields a 2.46 format.
+                   The accumulator maintains full precision of the intermediate multiplication results,
+                   but provides only a 16 guard bits.
+                   There is no saturation on intermediate additions.
+                   If the accumulator overflows it wraps around and distorts the result.
+                   In order to avoid overflows completely the input signal must be scaled down by
+                   log2(blockSize)-8 bits, as a total of blockSize additions are performed internally.
+                   After division, internal variables should be Q18.46
+                   Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value.
+ */
+
+void arm_var_q31(
+  const q31_t * pSrc,
+        uint32_t blockSize,
+        q31_t * pResult)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+        q63_t sum = 0;                                 /* Temporary result storage */
+        q63_t meanOfSquares, squareOfMean;             /* Square of mean and mean of square */
+        q63_t sumOfSquares = 0;                        /* Sum of squares */
+        q31_t in;                                      /* Temporary variable to store input value */
+
+  if (blockSize <= 1U)
+  {
+    *pResult = 0;
+    return;
+  }
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* C = A[0] + A[1] + ... + A[blockSize-1] */
+
+    in = *pSrc++ >> 8U;
+    /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */
+    sumOfSquares += ((q63_t) (in) * (in));
+    /* Compute sum and store result in a temporary variable, sum. */
+    sum += in;
+
+    in = *pSrc++ >> 8U;
+    sumOfSquares += ((q63_t) (in) * (in));
+    sum += in;
+
+    in = *pSrc++ >> 8U;
+    sumOfSquares += ((q63_t) (in) * (in));
+    sum += in;
+
+    in = *pSrc++ >> 8U;
+    sumOfSquares += ((q63_t) (in) * (in));
+    sum += in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1] */
+    /* C = A[0] + A[1] + ... + A[blockSize-1] */
+
+    in = *pSrc++ >> 8U;
+    /* Compute sum of squares and store result in a temporary variable, sumOfSquares. */
+    sumOfSquares += ((q63_t) (in) * (in));
+    /* Compute sum and store result in a temporary variable, sum. */
+    sum += in;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Compute Mean of squares and store result in a temporary variable, meanOfSquares. */
+  meanOfSquares = (sumOfSquares / (q63_t)(blockSize - 1U));
+
+  /* Compute square of mean */
+  squareOfMean = ( sum * sum / (q63_t)(blockSize * (blockSize - 1U)));
+
+  /* Compute variance and store result in destination */
+  *pResult = (meanOfSquares - squareOfMean) >> 15U;
+}
+
+/**
+  @} end of variance group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/SupportFunctions/CMakeLists.txt
new file mode 100644
index 0000000..4aae003
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/CMakeLists.txt
@@ -0,0 +1,16 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPSupport)
+
+
+file(GLOB SRC "./*_*.c")
+
+add_library(CMSISDSPSupport STATIC ${SRC})
+
+configdsp(CMSISDSPSupport ..)
+
+### Includes
+target_include_directories(CMSISDSPSupport PUBLIC "${DSP}/../../Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/SupportFunctions.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/SupportFunctions.c
new file mode 100644
index 0000000..d1ab9d4
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/SupportFunctions.c
@@ -0,0 +1,48 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        SupportFunctions.c
+ * Description:  Combination of all support function source files.
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_copy_f32.c"
+#include "arm_copy_q15.c"
+#include "arm_copy_q31.c"
+#include "arm_copy_q7.c"
+#include "arm_fill_f32.c"
+#include "arm_fill_q15.c"
+#include "arm_fill_q31.c"
+#include "arm_fill_q7.c"
+#include "arm_float_to_q15.c"
+#include "arm_float_to_q31.c"
+#include "arm_float_to_q7.c"
+#include "arm_q15_to_float.c"
+#include "arm_q15_to_q31.c"
+#include "arm_q15_to_q7.c"
+#include "arm_q31_to_float.c"
+#include "arm_q31_to_q15.c"
+#include "arm_q31_to_q7.c"
+#include "arm_q7_to_float.c"
+#include "arm_q7_to_q15.c"
+#include "arm_q7_to_q31.c"
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_f32.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_f32.c
new file mode 100644
index 0000000..a4eb606
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_f32.c
@@ -0,0 +1,152 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_copy_f32.c
+ * Description:  Copies the elements of a floating-point vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @defgroup copy Vector Copy
+
+  Copies sample by sample from source vector to destination vector.
+
+  <pre>
+      pDst[n] = pSrc[n];   0 <= n < blockSize.
+  </pre>
+
+  There are separate functions for floating point, Q31, Q15, and Q7 data types.
+ */
+
+/**
+  @addtogroup copy
+  @{
+ */
+
+/**
+  @brief         Copies the elements of a floating-point vector.
+  @param[in]     pSrc       points to input vector
+  @param[out]    pDst       points to output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+void arm_copy_f32(
+  const float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+  float32x4_t inV;
+
+  blkCnt = blockSize >> 2U;
+
+  /* Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C = A */
+    /* Copy and then store the results in the destination buffer */
+    inV = vld1q_f32(pSrc);
+    vst1q_f32(pDst, inV);
+    pSrc += 4;
+    pDst += 4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = blockSize & 3;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A */
+    /* Copy and then store the results in the destination buffer */
+    *pDst++ = *pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+#else
+void arm_copy_f32(
+  const float32_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A */
+
+    /* Copy and store result in destination buffer */
+    *pDst++ = *pSrc++;
+    *pDst++ = *pSrc++;
+    *pDst++ = *pSrc++;
+    *pDst++ = *pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A */
+
+    /* Copy and store result in destination buffer */
+    *pDst++ = *pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+/**
+  @} end of BasicCopy group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q15.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q15.c
new file mode 100644
index 0000000..0a356e7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q15.c
@@ -0,0 +1,96 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_copy_q15.c
+ * Description:  Copies the elements of a Q15 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup copy
+  @{
+ */
+
+/**
+  @brief         Copies the elements of a Q15 vector.
+  @param[in]     pSrc       points to input vector
+  @param[out]    pDst       points to output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+void arm_copy_q15(
+  const q15_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A */
+
+    /* read 2 times 2 samples at a time */
+    write_q15x2_ia (&pDst, read_q15x2_ia ((q15_t **) &pSrc));
+    write_q15x2_ia (&pDst, read_q15x2_ia ((q15_t **) &pSrc));
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A */
+
+    /* Copy and store result in destination buffer */
+    *pDst++ = *pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+}
+
+/**
+  @} end of BasicCopy group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q31.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q31.c
new file mode 100644
index 0000000..7221715
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q31.c
@@ -0,0 +1,98 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_copy_q31.c
+ * Description:  Copies the elements of a Q31 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup copy
+  @{
+ */
+
+/**
+  @brief         Copies the elements of a Q31 vector.
+  @param[in]     pSrc       points to input vector
+  @param[out]    pDst       points to output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+void arm_copy_q31(
+  const q31_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A */
+
+    /* Copy and store result in destination buffer */
+    *pDst++ = *pSrc++;
+    *pDst++ = *pSrc++;
+    *pDst++ = *pSrc++;
+    *pDst++ = *pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A */
+
+    /* Copy and store result in destination buffer */
+    *pDst++ = *pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+}
+
+/**
+  @} end of BasicCopy group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q7.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q7.c
new file mode 100644
index 0000000..3d35888
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q7.c
@@ -0,0 +1,95 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_copy_q7.c
+ * Description:  Copies the elements of a Q7 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup copy
+  @{
+ */
+
+/**
+  @brief         Copies the elements of a Q7 vector.
+  @param[in]     pSrc       points to input vector
+  @param[out]    pDst       points to output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+void arm_copy_q7(
+  const q7_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A */
+
+    /* read 4 samples at a time */
+    write_q7x4_ia (&pDst, read_q7x4_ia ((q7_t **) &pSrc));
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A */
+
+    /* Copy and store result in destination buffer */
+    *pDst++ = *pSrc++;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+}
+
+/**
+  @} end of BasicCopy group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_f32.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_f32.c
new file mode 100644
index 0000000..e4f9301
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_f32.c
@@ -0,0 +1,151 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fill_f32.c
+ * Description:  Fills a constant value into a floating-point vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @defgroup Fill Vector Fill
+
+  Fills the destination vector with a constant value.
+
+  <pre>
+      pDst[n] = value;   0 <= n < blockSize.
+  </pre>
+
+  There are separate functions for floating point, Q31, Q15, and Q7 data types.
+ */
+
+/**
+  @addtogroup Fill
+  @{
+ */
+
+/**
+  @brief         Fills a constant value into a floating-point vector.
+  @param[in]     value      input value to be filled
+  @param[out]    pDst       points to output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+void arm_fill_f32(
+  float32_t value,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+
+  float32x4_t inV = vdupq_n_f32(value);
+
+  blkCnt = blockSize >> 2U;
+
+  /* Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C = value */
+    /* Fill the value in the destination buffer */
+    vst1q_f32(pDst, inV);
+    pDst += 4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = blockSize & 3;
+
+  while (blkCnt > 0U)
+  {
+    /* C = value */
+    /* Fill the value in the destination buffer */
+    *pDst++ = value;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+#else
+void arm_fill_f32(
+  float32_t value,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = value */
+
+    /* Fill value in destination buffer */
+    *pDst++ = value;
+    *pDst++ = value;
+    *pDst++ = value;
+    *pDst++ = value;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = value */
+
+    /* Fill value in destination buffer */
+    *pDst++ = value;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+/**
+  @} end of Fill group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q15.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q15.c
new file mode 100644
index 0000000..6296678
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q15.c
@@ -0,0 +1,100 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fill_q15.c
+ * Description:  Fills a constant value into a Q15 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup Fill
+  @{
+ */
+
+/**
+  @brief         Fills a constant value into a Q15 vector.
+  @param[in]     value      input value to be filled
+  @param[out]    pDst       points to output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+void arm_fill_q15(
+  q15_t value,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  q31_t packedValue;                             /* value packed to 32 bits */
+
+  /* Packing two 16 bit values to 32 bit value in order to use SIMD */
+  packedValue = __PKHBT(value, value, 16U);
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = value */
+
+    /* fill 2 times 2 samples at a time */
+    write_q15x2_ia (&pDst, packedValue);
+    write_q15x2_ia (&pDst, packedValue);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = value */
+
+    /* Fill value in destination buffer */
+    *pDst++ = value;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+}
+
+/**
+  @} end of Fill group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q31.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q31.c
new file mode 100644
index 0000000..001b862
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q31.c
@@ -0,0 +1,98 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fill_q31.c
+ * Description:  Fills a constant value into a Q31 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup Fill
+  @{
+ */
+
+/**
+  @brief         Fills a constant value into a Q31 vector.
+  @param[in]     value      input value to be filled
+  @param[out]    pDst       points to output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+void arm_fill_q31(
+  q31_t value,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = value */
+
+    /* Fill value in destination buffer */
+    *pDst++ = value;
+    *pDst++ = value;
+    *pDst++ = value;
+    *pDst++ = value;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = value */
+
+    /* Fill value in destination buffer */
+    *pDst++ = value;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+}
+
+/**
+  @} end of Fill group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q7.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q7.c
new file mode 100644
index 0000000..0c32aa0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q7.c
@@ -0,0 +1,99 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_fill_q7.c
+ * Description:  Fills a constant value into a Q7 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup Fill
+  @{
+ */
+
+/**
+  @brief         Fills a constant value into a Q7 vector.
+  @param[in]     value      input value to be filled
+  @param[out]    pDst       points to output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+ */
+
+void arm_fill_q7(
+  q7_t value,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  uint32_t blkCnt;                               /* Loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+  q31_t packedValue;                             /* value packed to 32 bits */
+
+  /* Packing four 8 bit values to 32 bit value in order to use SIMD */
+  packedValue = __PACKq7(value, value, value, value);
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = value */
+
+    /* fill 4 samples at a time */
+    write_q7x4_ia (&pDst, packedValue);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = value */
+
+    /* Fill value in destination buffer */
+    *pDst++ = value;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+}
+
+/**
+  @} end of Fill group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c
new file mode 100644
index 0000000..a3c8bb2
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c
@@ -0,0 +1,244 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_float_to_q15.c
+ * Description:  Converts the elements of the floating-point vector to Q15 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup float_to_x
+  @{
+ */
+
+/**
+  @brief         Converts the elements of the floating-point vector to Q15 vector.
+  @param[in]     pSrc       points to the floating-point input vector
+  @param[out]    pDst       points to the Q15 output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Details
+                   The equation used for the conversion process is:
+  <pre>
+      pDst[n] = (q15_t)(pSrc[n] * 32768);   0 <= n < blockSize.
+  </pre>
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated.
+
+  @note
+                   In order to apply rounding, the library should be rebuilt with the ROUNDING macro
+                   defined in the preprocessor section of project options.
+ */
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+void arm_float_to_q15(
+  const float32_t * pSrc,
+  q15_t * pDst,
+  uint32_t blockSize)
+{
+  const float32_t *pIn = pSrc;                         /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+  float32_t in;
+  float32x4_t inV;
+  #ifdef ARM_MATH_ROUNDING
+  float32x4_t zeroV = vdupq_n_f32(0.0f);
+  float32x4_t pHalf = vdupq_n_f32(0.5f / 32768.0f);
+  float32x4_t mHalf = vdupq_n_f32(-0.5f / 32768.0f);
+  float32x4_t r;
+  uint32x4_t cmp;
+  #endif
+
+  int32x4_t cvt;
+  int16x4_t outV;
+
+  blkCnt = blockSize >> 2U;
+
+  /* Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+    /* C = A * 32768 */
+    /* Convert from float to q15 and then store the results in the destination buffer */
+    inV = vld1q_f32(pIn);
+    cmp = vcgtq_f32(inV,zeroV);
+    r = vbslq_f32(cmp,pHalf,mHalf);
+    inV = vaddq_f32(inV, r);
+
+    pIn += 4;
+
+    cvt = vcvtq_n_s32_f32(inV,15);
+    outV = vqmovn_s32(cvt);
+
+    vst1_s16(pDst, outV);
+    pDst += 4;
+
+#else
+
+    /* C = A * 32768 */
+    /* Convert from float to q15 and then store the results in the destination buffer */
+    inV = vld1q_f32(pIn);
+
+    cvt = vcvtq_n_s32_f32(inV,15);
+    outV = vqmovn_s32(cvt);
+
+    vst1_s16(pDst, outV);
+    pDst += 4;
+    pIn += 4;
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = blockSize & 3;
+
+  while (blkCnt > 0U)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+    /* C = A * 32768 */
+    /* Convert from float to q15 and then store the results in the destination buffer */
+    in = *pIn++;
+    in = (in * 32768.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
+
+#else
+
+    /* C = A * 32768 */
+    /* Convert from float to q15 and then store the results in the destination buffer */
+    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+#else
+void arm_float_to_q15(
+  const float32_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+  const float32_t *pIn = pSrc;                         /* Source pointer */
+
+#ifdef ARM_MATH_ROUNDING
+        float32_t in;
+#endif /* #ifdef ARM_MATH_ROUNDING */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * 32768 */
+
+    /* convert from float to Q15 and store result in destination buffer */
+#ifdef ARM_MATH_ROUNDING
+
+    in = (*pIn++ * 32768.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
+
+    in = (*pIn++ * 32768.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
+
+    in = (*pIn++ * 32768.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
+
+    in = (*pIn++ * 32768.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
+
+#else
+
+    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
+    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
+    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
+    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
+
+#endif /* #ifdef ARM_MATH_ROUNDING */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * 32768 */
+
+    /* convert from float to Q15 and store result in destination buffer */
+#ifdef ARM_MATH_ROUNDING
+
+    in = (*pIn++ * 32768.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16));
+
+#else
+
+    /* C = A * 32768 */
+    /* Convert from float to q15 and then store the results in the destination buffer */
+    *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16);
+
+#endif /* #ifdef ARM_MATH_ROUNDING */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of float_to_x group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q31.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q31.c
new file mode 100644
index 0000000..214987f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q31.c
@@ -0,0 +1,252 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_float_to_q31.c
+ * Description:  Converts the elements of the floating-point vector to Q31 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+ * @defgroup float_to_x  Convert 32-bit floating point value
+ */
+
+/**
+  @addtogroup float_to_x
+  @{
+ */
+
+/**
+  @brief         Converts the elements of the floating-point vector to Q31 vector.
+  @param[in]     pSrc       points to the floating-point input vector
+  @param[out]    pDst       points to the Q31 output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Details
+                   The equation used for the conversion process is:
+  <pre>
+      pDst[n] = (q31_t)(pSrc[n] * 2147483648);   0 <= n < blockSize.
+  </pre>
+
+  @par           Scaling and Overflow Behavior
+                   The function uses saturating arithmetic.
+                   Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] are saturated.
+
+  @note
+                   In order to apply rounding, the library should be rebuilt with the ROUNDING macro
+                   defined in the preprocessor section of project options.
+ */
+
+#if defined(ARM_MATH_NEON)
+void arm_float_to_q31(
+  const float32_t * pSrc,
+  q31_t * pDst,
+  uint32_t blockSize)
+{
+  const float32_t *pIn = pSrc;                         /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+  float32_t in;
+  float32x4_t inV;
+  #ifdef ARM_MATH_ROUNDING
+  float32x4_t zeroV = vdupq_n_f32(0.0f);
+  float32x4_t pHalf = vdupq_n_f32(0.5f / 2147483648.0f);
+  float32x4_t mHalf = vdupq_n_f32(-0.5f / 2147483648.0f);
+  float32x4_t r;
+  uint32x4_t cmp;
+  #endif
+
+  int32x4_t outV;
+
+  blkCnt = blockSize >> 2U;
+
+  /* Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+
+    /* C = A * 32768 */
+    /* Convert from float to Q31 and then store the results in the destination buffer */
+    inV = vld1q_f32(pIn);
+    cmp = vcgtq_f32(inV,zeroV);
+    r = vbslq_f32(cmp,pHalf,mHalf);
+    inV = vaddq_f32(inV, r);
+
+    pIn += 4;
+
+    outV = vcvtq_n_s32_f32(inV,31);
+
+    vst1q_s32(pDst, outV);
+    pDst += 4;
+
+#else
+
+    /* C = A * 2147483648 */
+    /* Convert from float to Q31 and then store the results in the destination buffer */
+    inV = vld1q_f32(pIn);
+
+    outV = vcvtq_n_s32_f32(inV,31);
+
+    vst1q_s32(pDst, outV);
+    pDst += 4;
+    pIn += 4;
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = blockSize & 3;
+
+  while (blkCnt > 0U)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+
+    /* C = A * 2147483648 */
+    /* Convert from float to Q31 and then store the results in the destination buffer */
+    in = *pIn++;
+    in = (in * 2147483648.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = clip_q63_to_q31((q63_t) (in));
+
+#else
+
+    /* C = A * 2147483648 */
+    /* Convert from float to Q31 and then store the results in the destination buffer */
+    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+
+}
+#else
+void arm_float_to_q31(
+  const float32_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+  const float32_t *pIn = pSrc;                         /* Source pointer */
+
+#ifdef ARM_MATH_ROUNDING
+        float32_t in;
+#endif /* #ifdef ARM_MATH_ROUNDING */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * 2147483648 */
+
+    /* convert from float to Q31 and store result in destination buffer */
+#ifdef ARM_MATH_ROUNDING
+
+    in = (*pIn++ * 2147483648.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = clip_q63_to_q31((q63_t) (in));
+
+    in = (*pIn++ * 2147483648.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = clip_q63_to_q31((q63_t) (in));
+
+    in = (*pIn++ * 2147483648.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = clip_q63_to_q31((q63_t) (in));
+
+    in = (*pIn++ * 2147483648.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = clip_q63_to_q31((q63_t) (in));
+
+#else
+
+    /* C = A * 2147483648 */
+    /* Convert from float to Q31 and then store the results in the destination buffer */
+    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
+    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
+    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
+    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
+
+#endif /* #ifdef ARM_MATH_ROUNDING */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * 2147483648 */
+
+    /* convert from float to Q31 and store result in destination buffer */
+#ifdef ARM_MATH_ROUNDING
+
+    in = (*pIn++ * 2147483648.0f);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = clip_q63_to_q31((q63_t) (in));
+
+#else
+
+    /* C = A * 2147483648 */
+    /* Convert from float to Q31 and then store the results in the destination buffer */
+    *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f));
+
+#endif /* #ifdef ARM_MATH_ROUNDING */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of float_to_x group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q7.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q7.c
new file mode 100644
index 0000000..3b7d6c6
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q7.c
@@ -0,0 +1,253 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_float_to_q7.c
+ * Description:  Converts the elements of the floating-point vector to Q7 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup float_to_x
+  @{
+ */
+
+/**
+ * @brief Converts the elements of the floating-point vector to Q7 vector.
+ * @param[in]       *pSrc points to the floating-point input vector
+ * @param[out]      *pDst points to the Q7 output vector
+ * @param[in]       blockSize length of the input vector
+ * @return none.
+ *
+ *\par Description:
+ * \par
+ * The equation used for the conversion process is:
+ * <pre>
+ * 	pDst[n] = (q7_t)(pSrc[n] * 128);   0 <= n < blockSize.
+ * </pre>
+ * \par Scaling and Overflow Behavior:
+ * \par
+ * The function uses saturating arithmetic.
+ * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated.
+ * \note
+ * In order to apply rounding, the library should be rebuilt with the ROUNDING macro
+ * defined in the preprocessor section of project options.
+ */
+
+#if defined(ARM_MATH_NEON)
+void arm_float_to_q7(
+  const float32_t * pSrc,
+  q7_t * pDst,
+  uint32_t blockSize)
+{
+  const float32_t *pIn = pSrc;                         /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+  float32_t in;
+  float32x4_t inV;
+  #ifdef ARM_MATH_ROUNDING
+  float32x4_t zeroV = vdupq_n_f32(0.0f);
+  float32x4_t pHalf = vdupq_n_f32(0.5f / 128.0f);
+  float32x4_t mHalf = vdupq_n_f32(-0.5f / 128.0f);
+  float32x4_t r;
+  uint32x4_t cmp;
+  #endif
+
+  int32x4_t cvt;
+  int16x4_t cvt1,cvt2;
+  int8x8_t outV;
+
+  blkCnt = blockSize >> 3U;
+
+  /* Compute 8 outputs at a time.
+   ** a second loop below computes the remaining 1 to 7 samples. */
+  while (blkCnt > 0U)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+    /* C = A * 128 */
+    /* Convert from float to q7 and then store the results in the destination buffer */
+    inV = vld1q_f32(pIn);
+    cmp = vcgtq_f32(inV,zeroV);
+    r = vbslq_f32(cmp,pHalf,mHalf);
+    inV = vaddq_f32(inV, r);
+    cvt1 = vqmovn_s32(vcvtq_n_s32_f32(inV,7));
+    pIn += 4;
+
+    inV = vld1q_f32(pIn);
+    cmp = vcgtq_f32(inV,zeroV);
+    r = vbslq_f32(cmp,pHalf,mHalf);
+    inV = vaddq_f32(inV, r);
+    cvt2 = vqmovn_s32(vcvtq_n_s32_f32(inV,7));
+    pIn += 4;
+    
+    outV = vqmovn_s16(vcombine_s16(cvt1,cvt2));
+    vst1_s8(pDst, outV);
+    pDst += 8;
+
+#else
+
+    /* C = A * 128 */
+    /* Convert from float to q7 and then store the results in the destination buffer */
+    inV = vld1q_f32(pIn);
+    cvt1 = vqmovn_s32(vcvtq_n_s32_f32(inV,7));
+    pIn += 4;
+
+    inV = vld1q_f32(pIn);
+    cvt2 = vqmovn_s32(vcvtq_n_s32_f32(inV,7));
+    pIn += 4;
+
+    outV = vqmovn_s16(vcombine_s16(cvt1,cvt2));
+
+    vst1_s8(pDst, outV);
+    pDst += 8;
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = blockSize & 7;
+
+  while (blkCnt > 0U)
+  {
+
+#ifdef ARM_MATH_ROUNDING
+    /* C = A * 128 */
+    /* Convert from float to q7 and then store the results in the destination buffer */
+    in = *pIn++;
+    in = (in * 128);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
+
+#else
+
+    /* C = A * 128 */
+    /* Convert from float to q7 and then store the results in the destination buffer */
+    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
+
+#endif /*      #ifdef ARM_MATH_ROUNDING        */
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+}
+#else
+void arm_float_to_q7(
+  const float32_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+  const float32_t *pIn = pSrc;                         /* Source pointer */
+
+#ifdef ARM_MATH_ROUNDING
+        float32_t in;
+#endif /* #ifdef ARM_MATH_ROUNDING */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * 128 */
+
+    /* Convert from float to q7 and store result in destination buffer */
+#ifdef ARM_MATH_ROUNDING
+
+    in = (*pIn++ * 128);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
+
+    in = (*pIn++ * 128);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
+
+    in = (*pIn++ * 128);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
+
+    in = (*pIn++ * 128);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
+
+#else
+
+    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
+    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
+    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
+    *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8);
+
+#endif /* #ifdef ARM_MATH_ROUNDING */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = A * 128 */
+
+    /* Convert from float to q7 and store result in destination buffer */
+#ifdef ARM_MATH_ROUNDING
+
+    in = (*pIn++ * 128);
+    in += in > 0.0f ? 0.5f : -0.5f;
+    *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8));
+
+#else
+
+    *pDst++ = (q7_t) __SSAT((q31_t) (*pIn++ * 128.0f), 8);
+
+#endif /* #ifdef ARM_MATH_ROUNDING */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of float_to_x group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_float.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_float.c
new file mode 100644
index 0000000..a87946c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_float.c
@@ -0,0 +1,166 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_q15_to_float.c
+ * Description:  Converts the elements of the Q15 vector to floating-point vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+ * @defgroup q15_to_x  Convert 16-bit Integer value
+ */
+
+/**
+  @addtogroup q15_to_x
+  @{
+ */
+
+/**
+  @brief         Converts the elements of the Q15 vector to floating-point vector.
+  @param[in]     pSrc       points to the Q15 input vector
+  @param[out]    pDst       points to the floating-point output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Details
+                   The equation used for the conversion process is:
+  <pre>
+      pDst[n] = (float32_t) pSrc[n] / 32768;   0 <= n < blockSize.
+  </pre>
+ */
+
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+void arm_q15_to_float(
+  const q15_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  const q15_t *pIn = pSrc;                             /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+  int16x8_t inV;
+  int32x4_t inV0, inV1;
+  float32x4_t outV;
+
+  blkCnt = blockSize >> 3U;
+
+  /* Compute 8 outputs at a time.
+   ** a second loop below computes the remaining 1 to 7 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C = (float32_t) A / 32768 */
+    /* convert from q15 to float and then store the results in the destination buffer */
+    inV = vld1q_s16(pIn);
+    pIn += 8;
+
+    inV0 = vmovl_s16(vget_low_s16(inV));
+    inV1 = vmovl_s16(vget_high_s16(inV));
+
+    outV = vcvtq_n_f32_s32(inV0,15);
+    vst1q_f32(pDst, outV);
+    pDst += 4;
+
+    outV = vcvtq_n_f32_s32(inV1,15);
+    vst1q_f32(pDst, outV);
+    pDst += 4;
+  
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 8, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = blockSize & 7;
+
+
+  while (blkCnt > 0U)
+  {
+    /* C = (float32_t) A / 32768 */
+    /* convert from q15 to float and then store the results in the destination buffer */
+    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+#else
+void arm_q15_to_float(
+  const q15_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+  const q15_t *pIn = pSrc;                             /* Source pointer */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (float32_t) A / 32768 */
+
+    /* Convert from q15 to float and store result in destination buffer */
+    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
+    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
+    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
+    *pDst++ = ((float32_t) * pIn++ / 32768.0f);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (float32_t) A / 32768 */
+
+    /* Convert from q15 to float and store result in destination buffer */
+    *pDst++ = ((float32_t) *pIn++ / 32768.0f);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of q15_to_x group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q31.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q31.c
new file mode 100644
index 0000000..c745121
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q31.c
@@ -0,0 +1,138 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_q15_to_q31.c
+ * Description:  Converts the elements of the Q15 vector to Q31 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup q15_to_x
+  @{
+ */
+
+/**
+  @brief         Converts the elements of the Q15 vector to Q31 vector.
+  @param[in]     pSrc       points to the Q15 input vector
+  @param[out]    pDst       points to the Q31 output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Details
+                   The equation used for the conversion process is:
+  <pre>
+      pDst[n] = (q31_t) pSrc[n] << 16;   0 <= n < blockSize.
+  </pre>
+ */
+
+void arm_q15_to_q31(
+  const q15_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+  const q15_t *pIn = pSrc;                             /* Source pointer */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+        q31_t in1, in2;
+        q31_t out1, out2, out3, out4;
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (q31_t)A << 16 */
+
+    /* Convert from q15 to q31 and store result in destination buffer */
+    in1 = read_q15x2_ia ((q15_t **) &pIn);
+    in2 = read_q15x2_ia ((q15_t **) &pIn);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    /* extract lower 16 bits to 32 bit result */
+    out1 = in1 << 16U;
+    /* extract upper 16 bits to 32 bit result */
+    out2 = in1 & 0xFFFF0000;
+    /* extract lower 16 bits to 32 bit result */
+    out3 = in2 << 16U;
+    /* extract upper 16 bits to 32 bit result */
+    out4 = in2 & 0xFFFF0000;
+
+#else
+
+    /* extract upper 16 bits to 32 bit result */
+    out1 = in1 & 0xFFFF0000;
+    /* extract lower 16 bits to 32 bit result */
+    out2 = in1 << 16U;
+    /* extract upper 16 bits to 32 bit result */
+    out3 = in2 & 0xFFFF0000;
+    /* extract lower 16 bits to 32 bit result */
+    out4 = in2 << 16U;
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    *pDst++ = out1;
+    *pDst++ = out2;
+    *pDst++ = out3;
+    *pDst++ = out4;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (q31_t) A << 16 */
+
+    /* Convert from q15 to q31 and store result in destination buffer */
+    *pDst++ = (q31_t) *pIn++ << 16;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of q15_to_x group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q7.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q7.c
new file mode 100644
index 0000000..4f90d56
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q7.c
@@ -0,0 +1,146 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_q15_to_q7.c
+ * Description:  Converts the elements of the Q15 vector to Q7 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup q15_to_x
+  @{
+ */
+
+/**
+  @brief         Converts the elements of the Q15 vector to Q7 vector.
+  @param[in]     pSrc       points to the Q15 input vector
+  @param[out]    pDst       points to the Q7 output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Details
+                   The equation used for the conversion process is:
+  <pre>
+      pDst[n] = (q7_t) pSrc[n] >> 8;   0 <= n < blockSize.
+  </pre>
+ */
+
+void arm_q15_to_q7(
+  const q15_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+  const q15_t *pIn = pSrc;                             /* Source pointer */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+        q31_t in1, in2;
+        q31_t out1, out2;
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (q7_t) A >> 8 */
+
+    /* Convert from q15 to q7 and store result in destination buffer */
+#if defined (ARM_MATH_DSP)
+
+    in1 = read_q15x2_ia ((q15_t **) &pIn);
+    in2 = read_q15x2_ia ((q15_t **) &pIn);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    out1 = __PKHTB(in2, in1, 16);
+    out2 = __PKHBT(in2, in1, 16);
+
+#else
+
+    out1 = __PKHTB(in1, in2, 16);
+    out2 = __PKHBT(in1, in2, 16);
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* rotate packed value by 24 */
+    out2 = ((uint32_t) out2 << 8) | ((uint32_t) out2 >> 24);
+
+    /* anding with 0xff00ff00 to get two 8 bit values */
+    out1 = out1 & 0xFF00FF00;
+    /* anding with 0x00ff00ff to get two 8 bit values */
+    out2 = out2 & 0x00FF00FF;
+
+    /* oring two values(contains two 8 bit values) to get four packed 8 bit values */
+    out1 = out1 | out2;
+
+    /* store 4 samples at a time to destiantion buffer */
+    write_q7x4_ia (&pDst, out1);
+
+#else
+
+    *pDst++ = (q7_t) (*pIn++ >> 8);
+    *pDst++ = (q7_t) (*pIn++ >> 8);
+    *pDst++ = (q7_t) (*pIn++ >> 8);
+    *pDst++ = (q7_t) (*pIn++ >> 8);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (q7_t) A >> 8 */
+
+    /* Convert from q15 to q7 and store result in destination buffer */
+    *pDst++ = (q7_t) (*pIn++ >> 8);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of q15_to_x group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_float.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_float.c
new file mode 100644
index 0000000..8ff9e7b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_float.c
@@ -0,0 +1,159 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_q31_to_float.c
+ * Description:  Converts the elements of the Q31 vector to floating-point vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+ * @defgroup q31_to_x  Convert 32-bit Integer value
+ */
+
+/**
+  @addtogroup q31_to_x
+  @{
+ */
+
+/**
+  @brief         Converts the elements of the Q31 vector to floating-point vector.
+  @param[in]     pSrc       points to the Q31 input vector
+  @param[out]    pDst       points to the floating-point output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Details
+                   The equation used for the conversion process is:
+  <pre>
+      pDst[n] = (float32_t) pSrc[n] / 2147483648;   0 <= n < blockSize.
+  </pre>
+ */
+
+#if defined(ARM_MATH_NEON_EXPERIMENTAL)
+void arm_q31_to_float(
+  const q31_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+  const q31_t *pIn = pSrc;                             /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+  int32x4_t inV;
+  float32x4_t outV;
+
+  blkCnt = blockSize >> 2U;
+
+  /* Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C = (float32_t) A / 2147483648 */
+    /* Convert from q31 to float and then store the results in the destination buffer */
+    inV = vld1q_s32(pIn);
+    pIn += 4;
+
+    outV = vcvtq_n_f32_s32(inV,31);
+
+    vst1q_f32(pDst, outV);
+    pDst += 4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = blockSize & 3;
+
+
+  while (blkCnt > 0U)
+  {
+    /* C = (float32_t) A / 2147483648 */
+    /* Convert from q31 to float and then store the results in the destination buffer */
+    *pDst++ = ((float32_t) * pIn++ / 2147483648.0f);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+#else
+void arm_q31_to_float(
+  const q31_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  const q31_t *pIn = pSrc;                             /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (float32_t) A / 2147483648 */
+
+    /* Convert from q31 to float and store result in destination buffer */
+    *pDst++ = ((float32_t) *pIn++ / 2147483648.0f);
+    *pDst++ = ((float32_t) *pIn++ / 2147483648.0f);
+    *pDst++ = ((float32_t) *pIn++ / 2147483648.0f);
+    *pDst++ = ((float32_t) *pIn++ / 2147483648.0f);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (float32_t) A / 2147483648 */
+
+    /* Convert from q31 to float and store result in destination buffer */
+    *pDst++ = ((float32_t) *pIn++ / 2147483648.0f);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of q31_to_x group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q15.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q15.c
new file mode 100644
index 0000000..8dac98d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q15.c
@@ -0,0 +1,134 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_q31_to_q15.c
+ * Description:  Converts the elements of the Q31 vector to Q15 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup q31_to_x
+  @{
+ */
+
+/**
+  @brief         Converts the elements of the Q31 vector to Q15 vector.
+  @param[in]     pSrc       points to the Q31 input vector
+  @param[out]    pDst       points to the Q15 output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Details
+                   The equation used for the conversion process is:
+  <pre>
+      pDst[n] = (q15_t) pSrc[n] >> 16;   0 <= n < blockSize.
+  </pre>
+ */
+
+void arm_q31_to_q15(
+  const q31_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+  const q31_t *pIn = pSrc;                             /* Source pointer */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+        q31_t in1, in2, in3, in4;
+        q31_t out1, out2;
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (q15_t) (A >> 16) */
+
+    /* Convert from q31 to q15 and store result in destination buffer */
+#if defined (ARM_MATH_DSP)
+
+    in1 = *pIn++;
+    in2 = *pIn++;
+    in3 = *pIn++;
+    in4 = *pIn++;
+
+    /* pack two higher 16-bit values from two 32-bit values */
+#ifndef ARM_MATH_BIG_ENDIAN
+    out1 = __PKHTB(in2, in1, 16);
+    out2 = __PKHTB(in4, in3, 16);
+#else
+    out1 = __PKHTB(in1, in2, 16);
+    out2 = __PKHTB(in3, in4, 16);
+#endif /* #ifdef ARM_MATH_BIG_ENDIAN */
+
+    write_q15x2_ia (&pDst, out1);
+    write_q15x2_ia (&pDst, out2);
+
+#else
+
+    *pDst++ = (q15_t) (*pIn++ >> 16);
+    *pDst++ = (q15_t) (*pIn++ >> 16);
+    *pDst++ = (q15_t) (*pIn++ >> 16);
+    *pDst++ = (q15_t) (*pIn++ >> 16);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (q15_t) (A >> 16) */
+
+    /* Convert from q31 to q15 and store result in destination buffer */
+    *pDst++ = (q15_t) (*pIn++ >> 16);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of q31_to_x group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q7.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q7.c
new file mode 100644
index 0000000..80433d0
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q7.c
@@ -0,0 +1,110 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_q31_to_q7.c
+ * Description:  Converts the elements of the Q31 vector to Q7 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup q31_to_x
+  @{
+ */
+
+/**
+  @brief         Converts the elements of the Q31 vector to Q7 vector.
+  @param[in]     pSrc       points to the Q31 input vector
+  @param[out]    pDst       points to the Q7 output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Details
+                   The equation used for the conversion process is:
+  <pre>
+      pDst[n] = (q7_t) pSrc[n] >> 24;   0 <= n < blockSize.
+  </pre>
+ */
+
+void arm_q31_to_q7(
+  const q31_t * pSrc,
+        q7_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+  const q31_t *pIn = pSrc;                             /* Source pointer */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  q7_t out1, out2, out3, out4;
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (q7_t) (A >> 24) */
+
+    /* Convert from q31 to q7 and store result in destination buffer */
+
+    out1 = (q7_t) (*pIn++ >> 24);
+    out2 = (q7_t) (*pIn++ >> 24);
+    out3 = (q7_t) (*pIn++ >> 24);
+    out4 = (q7_t) (*pIn++ >> 24);
+    write_q7x4_ia (&pDst, __PACKq7(out1, out2, out3, out4));
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (q7_t) (A >> 24) */
+
+    /* Convert from q31 to q7 and store result in destination buffer */
+    *pDst++ = (q7_t) (*pIn++ >> 24);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of q31_to_x group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_float.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_float.c
new file mode 100644
index 0000000..eee0d98
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_float.c
@@ -0,0 +1,179 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_q7_to_float.c
+ * Description:  Converts the elements of the Q7 vector to floating-point vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+ * @defgroup q7_to_x  Convert 8-bit Integer value
+ */
+
+/**
+  @addtogroup q7_to_x
+  @{
+ */
+
+/**
+  @brief         Converts the elements of the Q7 vector to floating-point vector.
+  @param[in]     pSrc       points to the Q7 input vector
+  @param[out]    pDst       points to the floating-point output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+ @par            Details
+                   The equation used for the conversion process is:
+  <pre>
+      pDst[n] = (float32_t) pSrc[n] / 128;   0 <= n < blockSize.
+  </pre>
+ */
+
+#if defined(ARM_MATH_NEON)
+void arm_q7_to_float(
+  const q7_t * pSrc,
+  float32_t * pDst,
+  uint32_t blockSize)
+{
+  const q7_t *pIn = pSrc;                              /* Src pointer */
+  uint32_t blkCnt;                               /* loop counter */
+
+  int8x16_t inV;
+  int16x8_t inVLO, inVHI;
+  int32x4_t inVLL, inVLH, inVHL, inVHH;
+  float32x4_t outV;
+
+  blkCnt = blockSize >> 4U;
+
+  /* Compute 16 outputs at a time.
+   ** a second loop below computes the remaining 1 to 15 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C = (float32_t) A / 128 */
+    /* Convert from q7 to float and then store the results in the destination buffer */
+    inV = vld1q_s8(pIn);
+    pIn += 16;
+
+    inVLO = vmovl_s8(vget_low_s8(inV));
+    inVHI = vmovl_s8(vget_high_s8(inV));
+
+    inVLL = vmovl_s16(vget_low_s16(inVLO));
+    inVLH = vmovl_s16(vget_high_s16(inVLO));
+    inVHL = vmovl_s16(vget_low_s16(inVHI));
+    inVHH = vmovl_s16(vget_high_s16(inVHI));
+
+    outV = vcvtq_n_f32_s32(inVLL,7);
+    vst1q_f32(pDst, outV);
+    pDst += 4;
+
+    outV = vcvtq_n_f32_s32(inVLH,7);
+    vst1q_f32(pDst, outV);
+    pDst += 4;
+
+    outV = vcvtq_n_f32_s32(inVHL,7);
+    vst1q_f32(pDst, outV);
+    pDst += 4;
+
+    outV = vcvtq_n_f32_s32(inVHH,7);
+    vst1q_f32(pDst, outV);
+    pDst += 4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 16, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = blockSize & 0xF;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (float32_t) A / 128 */
+    /* Convert from q7 to float and then store the results in the destination buffer */
+    *pDst++ = ((float32_t) * pIn++ / 128.0f);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+#else
+void arm_q7_to_float(
+  const q7_t * pSrc,
+        float32_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+  const q7_t *pIn = pSrc;                              /* Source pointer */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (float32_t) A / 128 */
+
+    /* Convert from q7 to float and store result in destination buffer */
+    *pDst++ = ((float32_t) * pIn++ / 128.0f);
+    *pDst++ = ((float32_t) * pIn++ / 128.0f);
+    *pDst++ = ((float32_t) * pIn++ / 128.0f);
+    *pDst++ = ((float32_t) * pIn++ / 128.0f);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (float32_t) A / 128 */
+
+    /* Convert from q7 to float and store result in destination buffer */
+    *pDst++ = ((float32_t) * pIn++ / 128.0f);
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+#endif /* #if defined(ARM_MATH_NEON) */
+
+/**
+  @} end of q7_to_x group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c
new file mode 100644
index 0000000..78dae9e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c
@@ -0,0 +1,143 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_q7_to_q15.c
+ * Description:  Converts the elements of the Q7 vector to Q15 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup q7_to_x
+  @{
+ */
+
+/**
+  @brief         Converts the elements of the Q7 vector to Q15 vector.
+  @param[in]     pSrc       points to the Q7 input vector
+  @param[out]    pDst       points to the Q15 output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Details
+                   The equation used for the conversion process is:
+  <pre>
+      pDst[n] = (q15_t) pSrc[n] << 8;   0 <= n < blockSize.
+  </pre>
+ */
+
+void arm_q7_to_q15(
+  const q7_t * pSrc,
+        q15_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+  const q7_t *pIn = pSrc;                              /* Source pointer */
+
+#if defined (ARM_MATH_LOOPUNROLL) && defined (ARM_MATH_DSP)
+        q31_t in;
+        q31_t in1, in2;
+        q31_t out1, out2;
+#endif
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (q15_t) A << 8 */
+
+    /* Convert from q7 to q15 and store result in destination buffer */
+#if defined (ARM_MATH_DSP)
+
+    in = read_q7x4_ia ((q7_t **) &pIn);
+
+    /* rotatate in by 8 and extend two q7_t values to q15_t values */
+    in1 = __SXTB16(__ROR(in, 8));
+
+    /* extend remainig two q7_t values to q15_t values */
+    in2 = __SXTB16(in);
+
+    in1 = in1 << 8U;
+    in2 = in2 << 8U;
+
+    in1 = in1 & 0xFF00FF00;
+    in2 = in2 & 0xFF00FF00;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    out2 = __PKHTB(in1, in2, 16);
+    out1 = __PKHBT(in2, in1, 16);
+#else
+    out1 = __PKHTB(in1, in2, 16);
+    out2 = __PKHBT(in2, in1, 16);
+#endif
+
+    write_q15x2_ia (&pDst, out1);
+    write_q15x2_ia (&pDst, out2);
+
+#else
+
+    *pDst++ = (q15_t) *pIn++ << 8;
+    *pDst++ = (q15_t) *pIn++ << 8;
+    *pDst++ = (q15_t) *pIn++ << 8;
+    *pDst++ = (q15_t) *pIn++ << 8;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (q15_t) A << 8 */
+
+    /* Convert from q7 to q15 and store result in destination buffer */
+    *pDst++ = (q15_t) * pIn++ << 8;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of q7_to_x group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c
new file mode 100644
index 0000000..9d5cde9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c
@@ -0,0 +1,121 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_q7_to_q31.c
+ * Description:  Converts the elements of the Q7 vector to Q31 vector
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupSupport
+ */
+
+/**
+  @addtogroup q7_to_x
+  @{
+ */
+
+/**
+  @brief         Converts the elements of the Q7 vector to Q31 vector.
+  @param[in]     pSrc       points to the Q7 input vector
+  @param[out]    pDst       points to the Q31 output vector
+  @param[in]     blockSize  number of samples in each vector
+  @return        none
+
+  @par           Details
+                   The equation used for the conversion process is:
+  <pre>
+      pDst[n] = (q31_t) pSrc[n] << 24;   0 <= n < blockSize.
+  </pre>
+ */
+
+void arm_q7_to_q31(
+  const q7_t * pSrc,
+        q31_t * pDst,
+        uint32_t blockSize)
+{
+        uint32_t blkCnt;                               /* Loop counter */
+  const q7_t *pIn = pSrc;                              /* Source pointer */
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        q31_t in;
+
+  /* Loop unrolling: Compute 4 outputs at a time */
+  blkCnt = blockSize >> 2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C = (q31_t) A << 24 */
+
+    /* Convert from q7 to q31 and store result in destination buffer */
+    in = read_q7x4_ia ((q7_t **) &pIn);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    *pDst++ = (__ROR(in, 8)) & 0xFF000000;
+    *pDst++ = (__ROR(in, 16)) & 0xFF000000;
+    *pDst++ = (__ROR(in, 24)) & 0xFF000000;
+    *pDst++ = (in & 0xFF000000);
+
+#else
+
+    *pDst++ = (in & 0xFF000000);
+    *pDst++ = (__ROR(in, 24)) & 0xFF000000;
+    *pDst++ = (__ROR(in, 16)) & 0xFF000000;
+    *pDst++ = (__ROR(in, 8)) & 0xFF000000;
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+  /* Loop unrolling: Compute remaining outputs */
+  blkCnt = blockSize % 0x4U;
+
+#else
+
+  /* Initialize blkCnt with number of samples */
+  blkCnt = blockSize;
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+  while (blkCnt > 0U)
+  {
+    /* C = (q31_t) A << 24 */
+
+    /* Convert from q7 to q31 and store result in destination buffer */
+    *pDst++ = (q31_t) * pIn++ << 24;
+
+    /* Decrement loop counter */
+    blkCnt--;
+  }
+
+}
+
+/**
+  @} end of q7_to_x group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/CMakeLists.txt b/Drivers/CMSIS/DSP/Source/TransformFunctions/CMakeLists.txt
new file mode 100644
index 0000000..834409e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/CMakeLists.txt
@@ -0,0 +1,116 @@
+cmake_minimum_required (VERSION 3.6)
+
+project(CMSISDSPTransform)
+
+
+
+add_library(CMSISDSPTransform STATIC)
+
+include(fft)
+fft(CMSISDSPTransform)
+
+if (CONFIGTABLE AND ALLFFT)
+target_compile_definitions(CMSISDSPTransform PUBLIC ARM_ALL_FFT_TABLES) 
+endif() 
+
+target_sources(CMSISDSPTransform PRIVATE arm_bitreversal.c)
+target_sources(CMSISDSPTransform PRIVATE arm_bitreversal2.c)
+
+if (NOT CONFIGTABLE OR ALLFFT OR CFFT_F32_16 OR CFFT_F32_32 OR CFFT_F32_64 OR CFFT_F32_128 OR CFFT_F32_256 OR CFFT_F32_512 
+    OR CFFT_F32_1024 OR CFFT_F32_2048 OR CFFT_F32_4096)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix2_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix8_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_f32.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFFT OR CFFT_Q15_16 OR CFFT_Q15_32 OR CFFT_Q15_64 OR CFFT_Q15_128 OR CFFT_Q15_256 OR CFFT_Q15_512 
+    OR CFFT_Q15_1024 OR CFFT_Q15_2048 OR CFFT_Q15_4096)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix2_q15.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_q15.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_q15.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFFT OR CFFT_Q31_16 OR CFFT_Q31_32 OR CFFT_Q31_64 OR CFFT_Q31_128 OR CFFT_Q31_256 OR CFFT_Q31_512 
+    OR CFFT_Q31_1024 OR CFFT_Q31_2048 OR CFFT_Q31_4096)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix2_q31.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_q31.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_q31.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFFT)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix2_init_q15.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix2_init_q31.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFFT OR DCT4_F32_128 OR DCT4_F32_512 OR DCT4_F32_2048 OR DCT4_F32_8192)
+target_sources(CMSISDSPTransform PRIVATE arm_dct4_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_dct4_init_f32.c)
+
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_init_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_f32.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFFT OR DCT4_Q31_128 OR DCT4_Q31_512 OR DCT4_Q31_2048 OR DCT4_Q31_8192)
+target_sources(CMSISDSPTransform PRIVATE arm_dct4_q31.c)
+target_sources(CMSISDSPTransform PRIVATE arm_dct4_init_q31.c)
+
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_q31.c)
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_q31.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_q31.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_init_q31.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_q31.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFFT OR ALLFFT OR DCT4_Q15_128 OR DCT4_Q15_512 OR DCT4_Q15_2048 OR DCT4_Q15_8192)
+target_sources(CMSISDSPTransform PRIVATE arm_dct4_init_q15.c)
+target_sources(CMSISDSPTransform PRIVATE arm_dct4_q15.c)
+
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_q15.c)
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_q15.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_q15.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_init_q15.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_q15.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFFT OR RFFT_FAST_F32_32 OR RFFT_FAST_F32_64 OR RFFT_FAST_F32_128
+   OR RFFT_FAST_F32_256 OR RFFT_FAST_F32_512 OR RFFT_FAST_F32_1024 OR RFFT_FAST_F32_2048
+   OR RFFT_FAST_F32_4096 )
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_fast_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_fast_init_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix8_f32.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFFT OR RFFT_F32_128 OR RFFT_F32_512 OR RFFT_F32_2048 OR RFFT_F32_8192)
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_init_f32.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_f32.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFFT OR RFFT_Q15_32 OR RFFT_Q15_64 OR RFFT_Q15_128 OR RFFT_Q15_256
+     OR RFFT_Q15_512 OR RFFT_Q15_1024 OR RFFT_Q15_2048 OR RFFT_Q15_4096 OR RFFT_Q15_8192)
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_q15.c)
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_q15.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_q15.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_q15.c)
+endif()
+
+if (NOT CONFIGTABLE OR ALLFFT OR RFFT_Q31_32 OR RFFT_Q31_64 OR RFFT_Q31_128 OR RFFT_Q31_256
+     OR RFFT_Q31_512 OR RFFT_Q31_1024 OR RFFT_Q31_2048 OR RFFT_Q31_4096 OR RFFT_Q31_8192)
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_init_q31.c)
+target_sources(CMSISDSPTransform PRIVATE arm_rfft_q31.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_q31.c)
+target_sources(CMSISDSPTransform PRIVATE arm_cfft_radix4_q31.c)
+endif()
+
+configdsp(CMSISDSPTransform ..)
+
+### Includes
+target_include_directories(CMSISDSPTransform PUBLIC "${DSP}/../../Include")
+
+
+
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/TransformFunctions.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/TransformFunctions.c
new file mode 100644
index 0000000..fcd0d95
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/TransformFunctions.c
@@ -0,0 +1,60 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        TransformFunctions.c
+ * Description:  Combination of all transform function source files.
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_bitreversal.c"
+#include "arm_bitreversal2.c"
+#include "arm_cfft_f32.c"
+#include "arm_cfft_q15.c"
+#include "arm_cfft_q31.c"
+#include "arm_cfft_radix2_f32.c"
+#include "arm_cfft_radix2_init_f32.c"
+#include "arm_cfft_radix2_init_q15.c"
+#include "arm_cfft_radix2_init_q31.c"
+#include "arm_cfft_radix2_q15.c"
+#include "arm_cfft_radix2_q31.c"
+#include "arm_cfft_radix4_f32.c"
+#include "arm_cfft_radix4_init_f32.c"
+#include "arm_cfft_radix4_init_q15.c"
+#include "arm_cfft_radix4_init_q31.c"
+#include "arm_cfft_radix4_q15.c"
+#include "arm_cfft_radix4_q31.c"
+#include "arm_cfft_radix8_f32.c"
+#include "arm_dct4_f32.c"
+#include "arm_dct4_init_f32.c"
+#include "arm_dct4_init_q15.c"
+#include "arm_dct4_init_q31.c"
+#include "arm_dct4_q15.c"
+#include "arm_dct4_q31.c"
+#include "arm_rfft_f32.c"
+#include "arm_rfft_fast_f32.c"
+#include "arm_rfft_fast_init_f32.c"
+#include "arm_rfft_init_f32.c"
+#include "arm_rfft_init_q15.c"
+#include "arm_rfft_init_q31.c"
+#include "arm_rfft_q15.c"
+#include "arm_rfft_q31.c"
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal.c
new file mode 100644
index 0000000..de95c59
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal.c
@@ -0,0 +1,229 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_bitreversal.c
+ * Description:  Bitreversal functions
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @brief         In-place floating-point bit reversal function.
+  @param[in,out] pSrc         points to in-place floating-point data buffer
+  @param[in]     fftSize      length of FFT
+  @param[in]     bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table
+  @param[in]     pBitRevTab   points to bit reversal table
+  @return        none
+ */
+
+void arm_bitreversal_f32(
+        float32_t * pSrc,
+        uint16_t fftSize,
+        uint16_t bitRevFactor,
+  const uint16_t * pBitRevTab)
+{
+   uint16_t fftLenBy2, fftLenBy2p1;
+   uint16_t i, j;
+   float32_t in;
+
+   /*  Initializations */
+   j = 0U;
+   fftLenBy2 = fftSize >> 1U;
+   fftLenBy2p1 = (fftSize >> 1U) + 1U;
+
+   /* Bit Reversal Implementation */
+   for (i = 0U; i <= (fftLenBy2 - 2U); i += 2U)
+   {
+      if (i < j)
+      {
+         /*  pSrc[i] <-> pSrc[j]; */
+         in = pSrc[2U * i];
+         pSrc[2U * i] = pSrc[2U * j];
+         pSrc[2U * j] = in;
+
+         /*  pSrc[i+1U] <-> pSrc[j+1U] */
+         in = pSrc[(2U * i) + 1U];
+         pSrc[(2U * i) + 1U] = pSrc[(2U * j) + 1U];
+         pSrc[(2U * j) + 1U] = in;
+
+         /*  pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */
+         in = pSrc[2U * (i + fftLenBy2p1)];
+         pSrc[2U * (i + fftLenBy2p1)] = pSrc[2U * (j + fftLenBy2p1)];
+         pSrc[2U * (j + fftLenBy2p1)] = in;
+
+         /*  pSrc[i+fftLenBy2p1+1U] <-> pSrc[j+fftLenBy2p1+1U] */
+         in = pSrc[(2U * (i + fftLenBy2p1)) + 1U];
+         pSrc[(2U * (i + fftLenBy2p1)) + 1U] =
+         pSrc[(2U * (j + fftLenBy2p1)) + 1U];
+         pSrc[(2U * (j + fftLenBy2p1)) + 1U] = in;
+
+      }
+
+      /*  pSrc[i+1U] <-> pSrc[j+1U] */
+      in = pSrc[2U * (i + 1U)];
+      pSrc[2U * (i + 1U)] = pSrc[2U * (j + fftLenBy2)];
+      pSrc[2U * (j + fftLenBy2)] = in;
+
+      /*  pSrc[i+2U] <-> pSrc[j+2U] */
+      in = pSrc[(2U * (i + 1U)) + 1U];
+      pSrc[(2U * (i + 1U)) + 1U] = pSrc[(2U * (j + fftLenBy2)) + 1U];
+      pSrc[(2U * (j + fftLenBy2)) + 1U] = in;
+
+      /*  Reading the index for the bit reversal */
+      j = *pBitRevTab;
+
+      /*  Updating the bit reversal index depending on the fft length  */
+      pBitRevTab += bitRevFactor;
+   }
+}
+
+
+/**
+  @brief         In-place Q31 bit reversal function.
+  @param[in,out] pSrc         points to in-place Q31 data buffer.
+  @param[in]     fftLen       length of FFT.
+  @param[in]     bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table
+  @param[in]     pBitRevTab   points to bit reversal table
+  @return        none
+*/
+
+void arm_bitreversal_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+        uint16_t bitRevFactor,
+  const uint16_t * pBitRevTab)
+{
+   uint32_t fftLenBy2, fftLenBy2p1, i, j;
+   q31_t in;
+
+   /*  Initializations      */
+   j = 0U;
+   fftLenBy2 = fftLen / 2U;
+   fftLenBy2p1 = (fftLen / 2U) + 1U;
+
+   /* Bit Reversal Implementation */
+   for (i = 0U; i <= (fftLenBy2 - 2U); i += 2U)
+   {
+      if (i < j)
+      {
+         /*  pSrc[i] <-> pSrc[j]; */
+         in = pSrc[2U * i];
+         pSrc[2U * i] = pSrc[2U * j];
+         pSrc[2U * j] = in;
+
+         /*  pSrc[i+1U] <-> pSrc[j+1U] */
+         in = pSrc[(2U * i) + 1U];
+         pSrc[(2U * i) + 1U] = pSrc[(2U * j) + 1U];
+         pSrc[(2U * j) + 1U] = in;
+
+         /*  pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */
+         in = pSrc[2U * (i + fftLenBy2p1)];
+         pSrc[2U * (i + fftLenBy2p1)] = pSrc[2U * (j + fftLenBy2p1)];
+         pSrc[2U * (j + fftLenBy2p1)] = in;
+
+         /*  pSrc[i+fftLenBy2p1+1U] <-> pSrc[j+fftLenBy2p1+1U] */
+         in = pSrc[(2U * (i + fftLenBy2p1)) + 1U];
+         pSrc[(2U * (i + fftLenBy2p1)) + 1U] =
+         pSrc[(2U * (j + fftLenBy2p1)) + 1U];
+         pSrc[(2U * (j + fftLenBy2p1)) + 1U] = in;
+
+      }
+
+      /*  pSrc[i+1U] <-> pSrc[j+1U] */
+      in = pSrc[2U * (i + 1U)];
+      pSrc[2U * (i + 1U)] = pSrc[2U * (j + fftLenBy2)];
+      pSrc[2U * (j + fftLenBy2)] = in;
+
+      /*  pSrc[i+2U] <-> pSrc[j+2U] */
+      in = pSrc[(2U * (i + 1U)) + 1U];
+      pSrc[(2U * (i + 1U)) + 1U] = pSrc[(2U * (j + fftLenBy2)) + 1U];
+      pSrc[(2U * (j + fftLenBy2)) + 1U] = in;
+
+      /*  Reading the index for the bit reversal */
+      j = *pBitRevTab;
+
+      /*  Updating the bit reversal index depending on the fft length */
+      pBitRevTab += bitRevFactor;
+   }
+}
+
+
+
+/**
+  @brief         In-place Q15 bit reversal function.
+  @param[in,out] pSrc16       points to in-place Q15 data buffer
+  @param[in]     fftLen       length of FFT
+  @param[in]     bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table
+  @param[in]     pBitRevTab   points to bit reversal table
+  @return        none
+*/
+
+void arm_bitreversal_q15(
+        q15_t * pSrc16,
+        uint32_t fftLen,
+        uint16_t bitRevFactor,
+  const uint16_t * pBitRevTab)
+{
+   q31_t *pSrc = (q31_t *) pSrc16;
+   q31_t in;
+   uint32_t fftLenBy2, fftLenBy2p1;
+   uint32_t i, j;
+
+   /*  Initializations */
+   j = 0U;
+   fftLenBy2 = fftLen / 2U;
+   fftLenBy2p1 = (fftLen / 2U) + 1U;
+
+   /* Bit Reversal Implementation */
+   for (i = 0U; i <= (fftLenBy2 - 2U); i += 2U)
+   {
+      if (i < j)
+      {
+         /*  pSrc[i] <-> pSrc[j]; */
+         /*  pSrc[i+1U] <-> pSrc[j+1U] */
+         in = pSrc[i];
+         pSrc[i] = pSrc[j];
+         pSrc[j] = in;
+
+         /*  pSrc[i + fftLenBy2p1] <-> pSrc[j + fftLenBy2p1];  */
+         /*  pSrc[i + fftLenBy2p1+1U] <-> pSrc[j + fftLenBy2p1+1U] */
+         in = pSrc[i + fftLenBy2p1];
+         pSrc[i + fftLenBy2p1] = pSrc[j + fftLenBy2p1];
+         pSrc[j + fftLenBy2p1] = in;
+      }
+
+      /*  pSrc[i+1U] <-> pSrc[j+fftLenBy2];         */
+      /*  pSrc[i+2] <-> pSrc[j+fftLenBy2+1U]  */
+      in = pSrc[i + 1U];
+      pSrc[i + 1U] = pSrc[j + fftLenBy2];
+      pSrc[j + fftLenBy2] = in;
+
+      /*  Reading the index for the bit reversal */
+      j = *pBitRevTab;
+
+      /*  Updating the bit reversal index depending on the fft length  */
+      pBitRevTab += bitRevFactor;
+   }
+}
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.S b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.S
new file mode 100644
index 0000000..01c1e76
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.S
@@ -0,0 +1,216 @@
+;/* ----------------------------------------------------------------------
+; * Project:      CMSIS DSP Library
+; * Title:        arm_bitreversal2.S
+; * Description:  arm_bitreversal_32 function done in assembly for maximum speed.
+; *               Called after doing an fft to reorder the output.
+; *               The function is loop unrolled by 2. arm_bitreversal_16 as well.
+; *
+; * $Date:        18. March 2019
+; * $Revision:    V1.5.2
+; *
+; * Target Processor: Cortex-M cores
+; * -------------------------------------------------------------------- */
+;/*
+; * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+; *
+; * SPDX-License-Identifier: Apache-2.0
+; *
+; * Licensed under the Apache License, Version 2.0 (the License); you may
+; * not use this file except in compliance with the License.
+; * You may obtain a copy of the License at
+; *
+; * www.apache.org/licenses/LICENSE-2.0
+; *
+; * Unless required by applicable law or agreed to in writing, software
+; * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+; * See the License for the specific language governing permissions and
+; * limitations under the License.
+; */
+
+#if   defined ( __CC_ARM )     /* Keil */
+    #define CODESECT AREA     ||.text||, CODE, READONLY, ALIGN=2
+    #define LABEL
+#elif defined ( __IASMARM__ )  /* IAR */
+    #define CODESECT SECTION `.text`:CODE
+    #define PROC
+    #define LABEL
+    #define ENDP
+    #define EXPORT PUBLIC
+#elif defined ( __CSMC__ )	   /* Cosmic */
+	#define	CODESECT	switch .text
+	#define THUMB
+	#define EXPORT	xdef
+	#define PROC	:
+	#define LABEL	:
+	#define ENDP
+	#define arm_bitreversal_32 _arm_bitreversal_32
+#elif defined ( __TI_ARM__ )   /* TI ARM */
+    #define THUMB    .thumb
+    #define CODESECT .text
+    #define EXPORT   .global
+    #define PROC     : .asmfunc
+    #define LABEL    :
+    #define ENDP     .endasmfunc
+    #define END
+#elif defined ( __GNUC__ )     /* GCC */
+    #define THUMB .thumb
+    #define CODESECT .section .text
+    #define EXPORT .global
+    #define PROC :
+    #define LABEL :
+    #define ENDP
+    #define END
+
+    .syntax unified
+#endif
+
+	CODESECT
+	THUMB
+
+;/**
+;  @brief         In-place bit reversal function.
+;  @param[in,out] pSrc        points to the in-place buffer of unknown 32-bit data type
+;  @param[in]     bitRevLen   bit reversal table length
+;  @param[in]     pBitRevTab  points to bit reversal table
+;  @return        none
+; */
+	EXPORT arm_bitreversal_32
+	EXPORT arm_bitreversal_16
+
+#if   defined ( __CC_ARM )     /* Keil */
+#elif defined ( __IASMARM__ )  /* IAR */
+#elif defined ( __CSMC__ )	   /* Cosmic */
+#elif defined ( __TI_ARM__ )   /* TI ARM */
+#elif defined ( __GNUC__ )     /* GCC */
+	.type   arm_bitreversal_16, %function
+	.type   arm_bitreversal_32, %function
+#endif
+
+#if defined (ARM_MATH_CM0_FAMILY)
+
+arm_bitreversal_32 PROC
+	ADDS     r3,r1,#1
+	PUSH     {r4-r6}
+	ADDS     r1,r2,#0
+	LSRS     r3,r3,#1
+arm_bitreversal_32_0 LABEL
+	LDRH     r2,[r1,#2]
+	LDRH     r6,[r1,#0]
+	ADD      r2,r0,r2
+	ADD      r6,r0,r6
+	LDR      r5,[r2,#0]
+	LDR      r4,[r6,#0]
+	STR      r5,[r6,#0]
+	STR      r4,[r2,#0]
+	LDR      r5,[r2,#4]
+	LDR      r4,[r6,#4]
+	STR      r5,[r6,#4]
+	STR      r4,[r2,#4]
+	ADDS     r1,r1,#4
+	SUBS     r3,r3,#1
+	BNE      arm_bitreversal_32_0
+	POP      {r4-r6}
+	BX       lr
+	ENDP
+
+arm_bitreversal_16 PROC
+	ADDS     r3,r1,#1
+	PUSH     {r4-r6}
+	ADDS     r1,r2,#0
+	LSRS     r3,r3,#1
+arm_bitreversal_16_0 LABEL
+	LDRH     r2,[r1,#2]
+	LDRH     r6,[r1,#0]
+    LSRS     r2,r2,#1
+    LSRS     r6,r6,#1
+	ADD      r2,r0,r2
+	ADD      r6,r0,r6
+	LDR      r5,[r2,#0]
+	LDR      r4,[r6,#0]
+	STR      r5,[r6,#0]
+	STR      r4,[r2,#0]
+	ADDS     r1,r1,#4
+	SUBS     r3,r3,#1
+	BNE      arm_bitreversal_16_0
+	POP      {r4-r6}
+	BX       lr
+	ENDP
+
+#else
+
+arm_bitreversal_32 PROC
+	ADDS     r3,r1,#1
+	CMP      r3,#1
+	IT       LS
+	BXLS     lr
+	PUSH     {r4-r9}
+	ADDS     r1,r2,#2
+	LSRS     r3,r3,#2
+arm_bitreversal_32_0 LABEL       ;/* loop unrolled by 2 */
+	LDRH     r8,[r1,#4]
+	LDRH     r9,[r1,#2]
+	LDRH     r2,[r1,#0]
+	LDRH     r12,[r1,#-2]
+	ADD      r8,r0,r8
+	ADD      r9,r0,r9
+	ADD      r2,r0,r2
+	ADD      r12,r0,r12
+	LDR      r7,[r9,#0]
+	LDR      r6,[r8,#0]
+	LDR      r5,[r2,#0]
+	LDR      r4,[r12,#0]
+	STR      r6,[r9,#0]
+	STR      r7,[r8,#0]
+	STR      r5,[r12,#0]
+	STR      r4,[r2,#0]
+	LDR      r7,[r9,#4]
+	LDR      r6,[r8,#4]
+	LDR      r5,[r2,#4]
+	LDR      r4,[r12,#4]
+	STR      r6,[r9,#4]
+	STR      r7,[r8,#4]
+	STR      r5,[r12,#4]
+	STR      r4,[r2,#4]
+	ADDS     r1,r1,#8
+	SUBS     r3,r3,#1
+	BNE      arm_bitreversal_32_0
+	POP      {r4-r9}
+	BX       lr
+	ENDP
+
+arm_bitreversal_16 PROC
+	ADDS     r3,r1,#1
+	CMP      r3,#1
+	IT       LS
+	BXLS     lr
+	PUSH     {r4-r9}
+	ADDS     r1,r2,#2
+	LSRS     r3,r3,#2
+arm_bitreversal_16_0 LABEL       ;/* loop unrolled by 2 */
+	LDRH     r8,[r1,#4]
+	LDRH     r9,[r1,#2]
+	LDRH     r2,[r1,#0]
+	LDRH     r12,[r1,#-2]
+	ADD      r8,r0,r8,LSR #1
+	ADD      r9,r0,r9,LSR #1
+	ADD      r2,r0,r2,LSR #1
+	ADD      r12,r0,r12,LSR #1
+	LDR      r7,[r9,#0]
+	LDR      r6,[r8,#0]
+	LDR      r5,[r2,#0]
+	LDR      r4,[r12,#0]
+	STR      r6,[r9,#0]
+	STR      r7,[r8,#0]
+	STR      r5,[r12,#0]
+	STR      r4,[r2,#0]
+	ADDS     r1,r1,#8
+	SUBS     r3,r3,#1
+	BNE      arm_bitreversal_16_0
+	POP      {r4-r9}
+	BX       lr
+	ENDP
+
+#endif
+
+	END
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.c
new file mode 100644
index 0000000..29d5757
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.c
@@ -0,0 +1,99 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_bitreversal2.c
+ * Description:  Bitreversal functions
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.0.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @brief         In-place 32 bit reversal function.
+  @param[in,out] pSrc        points to in-place buffer of unknown 32-bit data type
+  @param[in]     bitRevLen   bit reversal table length
+  @param[in]     pBitRevTab  points to bit reversal table
+  @return        none
+*/
+
+void arm_bitreversal_32(
+        uint32_t *pSrc, 
+  const uint16_t bitRevLen, 
+  const uint16_t *pBitRevTab)
+{
+  uint32_t a, b, i, tmp;
+
+  for (i = 0; i < bitRevLen; )
+  {
+     a = pBitRevTab[i    ] >> 2;
+     b = pBitRevTab[i + 1] >> 2;
+
+     //real
+     tmp = pSrc[a];
+     pSrc[a] = pSrc[b];
+     pSrc[b] = tmp;
+
+     //complex
+     tmp = pSrc[a+1];
+     pSrc[a+1] = pSrc[b+1];
+     pSrc[b+1] = tmp;
+
+    i += 2;
+  }
+}
+
+
+/**
+  @brief         In-place 16 bit reversal function.
+  @param[in,out] pSrc        points to in-place buffer of unknown 16-bit data type
+  @param[in]     bitRevLen   bit reversal table length
+  @param[in]     pBitRevTab  points to bit reversal table
+  @return        none
+*/
+
+void arm_bitreversal_16(
+        uint16_t *pSrc, 
+  const uint16_t bitRevLen, 
+  const uint16_t *pBitRevTab)
+{
+  uint16_t a, b, i, tmp;
+
+  for (i = 0; i < bitRevLen; )
+  {
+     a = pBitRevTab[i    ] >> 2;
+     b = pBitRevTab[i + 1] >> 2;
+
+     //real
+     tmp = pSrc[a];
+     pSrc[a] = pSrc[b];
+     pSrc[b] = tmp;
+
+     //complex
+     tmp = pSrc[a+1];
+     pSrc[a+1] = pSrc[b+1];
+     pSrc[b+1] = tmp;
+
+    i += 2;
+  }
+}
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f32.c
new file mode 100644
index 0000000..15dbb8f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f32.c
@@ -0,0 +1,629 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_f32.c
+ * Description:  Combined Radix Decimation in Frequency CFFT Floating point processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+extern void arm_radix8_butterfly_f32(
+        float32_t * pSrc,
+        uint16_t fftLen,
+  const float32_t * pCoef,
+        uint16_t twidCoefModifier);
+
+extern void arm_bitreversal_32(
+        uint32_t * pSrc,
+  const uint16_t bitRevLen,
+  const uint16_t * pBitRevTable);
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @defgroup ComplexFFT Complex FFT Functions
+ 
+  @par
+                   The Fast Fourier Transform (FFT) is an efficient algorithm for computing the
+                   Discrete Fourier Transform (DFT).  The FFT can be orders of magnitude faster
+                   than the DFT, especially for long lengths.
+                   The algorithms described in this section
+                   operate on complex data.  A separate set of functions is devoted to handling
+                   of real sequences.
+  @par
+                   There are separate algorithms for handling floating-point, Q15, and Q31 data
+                   types.  The algorithms available for each data type are described next.
+  @par
+                   The FFT functions operate in-place.  That is, the array holding the input data
+                   will also be used to hold the corresponding result.  The input data is complex
+                   and contains <code>2*fftLen</code> interleaved values as shown below.
+                   <pre>{real[0], imag[0], real[1], imag[1], ...} </pre>
+                   The FFT result will be contained in the same array and the frequency domain
+                   values will have the same interleaving.
+ 
+  @par Floating-point
+                   The floating-point complex FFT uses a mixed-radix algorithm.  Multiple radix-8
+                   stages are performed along with a single radix-2 or radix-4 stage, as needed.
+                   The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses
+                   a different twiddle factor table.
+  @par
+                   The function uses the standard FFT definition and output values may grow by a
+                   factor of <code>fftLen</code> when computing the forward transform.  The
+                   inverse transform includes a scale of <code>1/fftLen</code> as part of the
+                   calculation and this matches the textbook definition of the inverse FFT.
+  @par
+                   Pre-initialized data structures containing twiddle factors and bit reversal
+                   tables are provided and defined in <code>arm_const_structs.h</code>.  Include
+                   this header in your function and then pass one of the constant structures as
+                   an argument to arm_cfft_f32.  For example:
+  @par
+                   <code>arm_cfft_f32(arm_cfft_sR_f32_len64, pSrc, 1, 1)</code>
+  @par
+                   computes a 64-point inverse complex FFT including bit reversal.
+                   The data structures are treated as constant data and not modified during the
+                   calculation.  The same data structure can be reused for multiple transforms
+                   including mixing forward and inverse transforms.
+  @par
+                   Earlier releases of the library provided separate radix-2 and radix-4
+                   algorithms that operated on floating-point data.  These functions are still
+                   provided but are deprecated.  The older functions are slower and less general
+                   than the new functions.
+  @par
+                   An example of initialization of the constants for the arm_cfft_f32 function follows:
+  @code
+                   const static arm_cfft_instance_f32 *S;
+                   ...
+                     switch (length) {
+                       case 16:
+                         S = &arm_cfft_sR_f32_len16;
+                         break;
+                       case 32:
+                         S = &arm_cfft_sR_f32_len32;
+                         break;
+                       case 64:
+                         S = &arm_cfft_sR_f32_len64;
+                         break;
+                       case 128:
+                         S = &arm_cfft_sR_f32_len128;
+                         break;
+                       case 256:
+                         S = &arm_cfft_sR_f32_len256;
+                         break;
+                       case 512:
+                         S = &arm_cfft_sR_f32_len512;
+                         break;
+                       case 1024:
+                         S = &arm_cfft_sR_f32_len1024;
+                         break;
+                       case 2048:
+                         S = &arm_cfft_sR_f32_len2048;
+                         break;
+                       case 4096:
+                         S = &arm_cfft_sR_f32_len4096;
+                         break;
+                     }
+  @endcode
+  @par Q15 and Q31
+                   The floating-point complex FFT uses a mixed-radix algorithm.  Multiple radix-4
+                   stages are performed along with a single radix-2 stage, as needed.
+                   The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses
+                   a different twiddle factor table.
+  @par
+                   The function uses the standard FFT definition and output values may grow by a
+                   factor of <code>fftLen</code> when computing the forward transform.  The
+                   inverse transform includes a scale of <code>1/fftLen</code> as part of the
+                   calculation and this matches the textbook definition of the inverse FFT.
+  @par
+                   Pre-initialized data structures containing twiddle factors and bit reversal
+                   tables are provided and defined in <code>arm_const_structs.h</code>.  Include
+                   this header in your function and then pass one of the constant structures as
+                   an argument to arm_cfft_q31. For example:
+  @par
+                   <code>arm_cfft_q31(arm_cfft_sR_q31_len64, pSrc, 1, 1)</code>
+  @par
+                   computes a 64-point inverse complex FFT including bit reversal.
+                   The data structures are treated as constant data and not modified during the
+                   calculation.  The same data structure can be reused for multiple transforms
+                   including mixing forward and inverse transforms.
+  @par
+                   Earlier releases of the library provided separate radix-2 and radix-4
+                   algorithms that operated on floating-point data.  These functions are still
+                   provided but are deprecated.  The older functions are slower and less general
+                   than the new functions.
+  @par
+                   An example of initialization of the constants for the arm_cfft_q31 function follows:
+  @code
+                   const static arm_cfft_instance_q31 *S;
+                   ...
+                     switch (length) {
+                       case 16:
+                         S = &arm_cfft_sR_q31_len16;
+                         break;
+                       case 32:
+                         S = &arm_cfft_sR_q31_len32;
+                         break;
+                       case 64:
+                         S = &arm_cfft_sR_q31_len64;
+                         break;
+                       case 128:
+                         S = &arm_cfft_sR_q31_len128;
+                         break;
+                       case 256:
+                         S = &arm_cfft_sR_q31_len256;
+                         break;
+                       case 512:
+                         S = &arm_cfft_sR_q31_len512;
+                         break;
+                       case 1024:
+                         S = &arm_cfft_sR_q31_len1024;
+                         break;
+                       case 2048:
+                         S = &arm_cfft_sR_q31_len2048;
+                         break;
+                       case 4096:
+                         S = &arm_cfft_sR_q31_len4096;
+                         break;
+                     }
+  @endcode
+ 
+ */
+
+void arm_cfft_radix8by2_f32 (arm_cfft_instance_f32 * S, float32_t * p1)
+{
+  uint32_t    L  = S->fftLen;
+  float32_t * pCol1, * pCol2, * pMid1, * pMid2;
+  float32_t * p2 = p1 + L;
+  const float32_t * tw = (float32_t *) S->pTwiddle;
+  float32_t t1[4], t2[4], t3[4], t4[4], twR, twI;
+  float32_t m0, m1, m2, m3;
+  uint32_t l;
+
+  pCol1 = p1;
+  pCol2 = p2;
+
+  /* Define new length */
+  L >>= 1;
+
+  /* Initialize mid pointers */
+  pMid1 = p1 + L;
+  pMid2 = p2 + L;
+
+  /* do two dot Fourier transform */
+  for (l = L >> 2; l > 0; l-- )
+  {
+    t1[0] = p1[0];
+    t1[1] = p1[1];
+    t1[2] = p1[2];
+    t1[3] = p1[3];
+
+    t2[0] = p2[0];
+    t2[1] = p2[1];
+    t2[2] = p2[2];
+    t2[3] = p2[3];
+
+    t3[0] = pMid1[0];
+    t3[1] = pMid1[1];
+    t3[2] = pMid1[2];
+    t3[3] = pMid1[3];
+
+    t4[0] = pMid2[0];
+    t4[1] = pMid2[1];
+    t4[2] = pMid2[2];
+    t4[3] = pMid2[3];
+
+    *p1++ = t1[0] + t2[0];
+    *p1++ = t1[1] + t2[1];
+    *p1++ = t1[2] + t2[2];
+    *p1++ = t1[3] + t2[3];    /* col 1 */
+
+    t2[0] = t1[0] - t2[0];
+    t2[1] = t1[1] - t2[1];
+    t2[2] = t1[2] - t2[2];
+    t2[3] = t1[3] - t2[3];    /* for col 2 */
+
+    *pMid1++ = t3[0] + t4[0];
+    *pMid1++ = t3[1] + t4[1];
+    *pMid1++ = t3[2] + t4[2];
+    *pMid1++ = t3[3] + t4[3]; /* col 1 */
+
+    t4[0] = t4[0] - t3[0];
+    t4[1] = t4[1] - t3[1];
+    t4[2] = t4[2] - t3[2];
+    t4[3] = t4[3] - t3[3];    /* for col 2 */
+
+    twR = *tw++;
+    twI = *tw++;
+
+    /* multiply by twiddle factors */
+    m0 = t2[0] * twR;
+    m1 = t2[1] * twI;
+    m2 = t2[1] * twR;
+    m3 = t2[0] * twI;
+
+    /* R  =  R  *  Tr - I * Ti */
+    *p2++ = m0 + m1;
+    /* I  =  I  *  Tr + R * Ti */
+    *p2++ = m2 - m3;
+
+    /* use vertical symmetry */
+    /*  0.9988 - 0.0491i <==> -0.0491 - 0.9988i */
+    m0 = t4[0] * twI;
+    m1 = t4[1] * twR;
+    m2 = t4[1] * twI;
+    m3 = t4[0] * twR;
+
+    *pMid2++ = m0 - m1;
+    *pMid2++ = m2 + m3;
+
+    twR = *tw++;
+    twI = *tw++;
+
+    m0 = t2[2] * twR;
+    m1 = t2[3] * twI;
+    m2 = t2[3] * twR;
+    m3 = t2[2] * twI;
+
+    *p2++ = m0 + m1;
+    *p2++ = m2 - m3;
+
+    m0 = t4[2] * twI;
+    m1 = t4[3] * twR;
+    m2 = t4[3] * twI;
+    m3 = t4[2] * twR;
+
+    *pMid2++ = m0 - m1;
+    *pMid2++ = m2 + m3;
+  }
+
+  /* first col */
+  arm_radix8_butterfly_f32 (pCol1, L, (float32_t *) S->pTwiddle, 2U);
+
+  /* second col */
+  arm_radix8_butterfly_f32 (pCol2, L, (float32_t *) S->pTwiddle, 2U);
+}
+
+void arm_cfft_radix8by4_f32 (arm_cfft_instance_f32 * S, float32_t * p1)
+{
+    uint32_t    L  = S->fftLen >> 1;
+    float32_t * pCol1, *pCol2, *pCol3, *pCol4, *pEnd1, *pEnd2, *pEnd3, *pEnd4;
+    const float32_t *tw2, *tw3, *tw4;
+    float32_t * p2 = p1 + L;
+    float32_t * p3 = p2 + L;
+    float32_t * p4 = p3 + L;
+    float32_t t2[4], t3[4], t4[4], twR, twI;
+    float32_t p1ap3_0, p1sp3_0, p1ap3_1, p1sp3_1;
+    float32_t m0, m1, m2, m3;
+    uint32_t l, twMod2, twMod3, twMod4;
+
+    pCol1 = p1;         /* points to real values by default */
+    pCol2 = p2;
+    pCol3 = p3;
+    pCol4 = p4;
+    pEnd1 = p2 - 1;     /* points to imaginary values by default */
+    pEnd2 = p3 - 1;
+    pEnd3 = p4 - 1;
+    pEnd4 = pEnd3 + L;
+
+    tw2 = tw3 = tw4 = (float32_t *) S->pTwiddle;
+
+    L >>= 1;
+
+    /* do four dot Fourier transform */
+
+    twMod2 = 2;
+    twMod3 = 4;
+    twMod4 = 6;
+
+    /* TOP */
+    p1ap3_0 = p1[0] + p3[0];
+    p1sp3_0 = p1[0] - p3[0];
+    p1ap3_1 = p1[1] + p3[1];
+    p1sp3_1 = p1[1] - p3[1];
+
+    /* col 2 */
+    t2[0] = p1sp3_0 + p2[1] - p4[1];
+    t2[1] = p1sp3_1 - p2[0] + p4[0];
+    /* col 3 */
+    t3[0] = p1ap3_0 - p2[0] - p4[0];
+    t3[1] = p1ap3_1 - p2[1] - p4[1];
+    /* col 4 */
+    t4[0] = p1sp3_0 - p2[1] + p4[1];
+    t4[1] = p1sp3_1 + p2[0] - p4[0];
+    /* col 1 */
+    *p1++ = p1ap3_0 + p2[0] + p4[0];
+    *p1++ = p1ap3_1 + p2[1] + p4[1];
+
+    /* Twiddle factors are ones */
+    *p2++ = t2[0];
+    *p2++ = t2[1];
+    *p3++ = t3[0];
+    *p3++ = t3[1];
+    *p4++ = t4[0];
+    *p4++ = t4[1];
+
+    tw2 += twMod2;
+    tw3 += twMod3;
+    tw4 += twMod4;
+
+    for (l = (L - 2) >> 1; l > 0; l-- )
+    {
+      /* TOP */
+      p1ap3_0 = p1[0] + p3[0];
+      p1sp3_0 = p1[0] - p3[0];
+      p1ap3_1 = p1[1] + p3[1];
+      p1sp3_1 = p1[1] - p3[1];
+      /* col 2 */
+      t2[0] = p1sp3_0 + p2[1] - p4[1];
+      t2[1] = p1sp3_1 - p2[0] + p4[0];
+      /* col 3 */
+      t3[0] = p1ap3_0 - p2[0] - p4[0];
+      t3[1] = p1ap3_1 - p2[1] - p4[1];
+      /* col 4 */
+      t4[0] = p1sp3_0 - p2[1] + p4[1];
+      t4[1] = p1sp3_1 + p2[0] - p4[0];
+      /* col 1 - top */
+      *p1++ = p1ap3_0 + p2[0] + p4[0];
+      *p1++ = p1ap3_1 + p2[1] + p4[1];
+
+      /* BOTTOM */
+      p1ap3_1 = pEnd1[-1] + pEnd3[-1];
+      p1sp3_1 = pEnd1[-1] - pEnd3[-1];
+      p1ap3_0 = pEnd1[ 0] + pEnd3[0];
+      p1sp3_0 = pEnd1[ 0] - pEnd3[0];
+      /* col 2 */
+      t2[2] = pEnd2[0] - pEnd4[0] + p1sp3_1;
+      t2[3] = pEnd1[0] - pEnd3[0] - pEnd2[-1] + pEnd4[-1];
+      /* col 3 */
+      t3[2] = p1ap3_1 - pEnd2[-1] - pEnd4[-1];
+      t3[3] = p1ap3_0 - pEnd2[ 0] - pEnd4[ 0];
+      /* col 4 */
+      t4[2] = pEnd2[ 0] - pEnd4[ 0] - p1sp3_1;
+      t4[3] = pEnd4[-1] - pEnd2[-1] - p1sp3_0;
+      /* col 1 - Bottom */
+      *pEnd1-- = p1ap3_0 + pEnd2[ 0] + pEnd4[ 0];
+      *pEnd1-- = p1ap3_1 + pEnd2[-1] + pEnd4[-1];
+
+      /* COL 2 */
+      /* read twiddle factors */
+      twR = *tw2++;
+      twI = *tw2++;
+      /* multiply by twiddle factors */
+      /*  let    Z1 = a + i(b),   Z2 = c + i(d) */
+      /*   =>  Z1 * Z2  =  (a*c - b*d) + i(b*c + a*d) */
+
+      /* Top */
+      m0 = t2[0] * twR;
+      m1 = t2[1] * twI;
+      m2 = t2[1] * twR;
+      m3 = t2[0] * twI;
+
+      *p2++ = m0 + m1;
+      *p2++ = m2 - m3;
+      /* use vertical symmetry col 2 */
+      /* 0.9997 - 0.0245i  <==>  0.0245 - 0.9997i */
+      /* Bottom */
+      m0 = t2[3] * twI;
+      m1 = t2[2] * twR;
+      m2 = t2[2] * twI;
+      m3 = t2[3] * twR;
+
+      *pEnd2-- = m0 - m1;
+      *pEnd2-- = m2 + m3;
+
+      /* COL 3 */
+      twR = tw3[0];
+      twI = tw3[1];
+      tw3 += twMod3;
+      /* Top */
+      m0 = t3[0] * twR;
+      m1 = t3[1] * twI;
+      m2 = t3[1] * twR;
+      m3 = t3[0] * twI;
+
+      *p3++ = m0 + m1;
+      *p3++ = m2 - m3;
+      /* use vertical symmetry col 3 */
+      /* 0.9988 - 0.0491i  <==>  -0.9988 - 0.0491i */
+      /* Bottom */
+      m0 = -t3[3] * twR;
+      m1 =  t3[2] * twI;
+      m2 =  t3[2] * twR;
+      m3 =  t3[3] * twI;
+
+      *pEnd3-- = m0 - m1;
+      *pEnd3-- = m3 - m2;
+
+      /* COL 4 */
+      twR = tw4[0];
+      twI = tw4[1];
+      tw4 += twMod4;
+      /* Top */
+      m0 = t4[0] * twR;
+      m1 = t4[1] * twI;
+      m2 = t4[1] * twR;
+      m3 = t4[0] * twI;
+
+      *p4++ = m0 + m1;
+      *p4++ = m2 - m3;
+      /* use vertical symmetry col 4 */
+      /* 0.9973 - 0.0736i  <==>  -0.0736 + 0.9973i */
+      /* Bottom */
+      m0 = t4[3] * twI;
+      m1 = t4[2] * twR;
+      m2 = t4[2] * twI;
+      m3 = t4[3] * twR;
+
+      *pEnd4-- = m0 - m1;
+      *pEnd4-- = m2 + m3;
+    }
+
+    /* MIDDLE */
+    /* Twiddle factors are */
+    /*  1.0000  0.7071-0.7071i  -1.0000i  -0.7071-0.7071i */
+    p1ap3_0 = p1[0] + p3[0];
+    p1sp3_0 = p1[0] - p3[0];
+    p1ap3_1 = p1[1] + p3[1];
+    p1sp3_1 = p1[1] - p3[1];
+
+    /* col 2 */
+    t2[0] = p1sp3_0 + p2[1] - p4[1];
+    t2[1] = p1sp3_1 - p2[0] + p4[0];
+    /* col 3 */
+    t3[0] = p1ap3_0 - p2[0] - p4[0];
+    t3[1] = p1ap3_1 - p2[1] - p4[1];
+    /* col 4 */
+    t4[0] = p1sp3_0 - p2[1] + p4[1];
+    t4[1] = p1sp3_1 + p2[0] - p4[0];
+    /* col 1 - Top */
+    *p1++ = p1ap3_0 + p2[0] + p4[0];
+    *p1++ = p1ap3_1 + p2[1] + p4[1];
+
+    /* COL 2 */
+    twR = tw2[0];
+    twI = tw2[1];
+
+    m0 = t2[0] * twR;
+    m1 = t2[1] * twI;
+    m2 = t2[1] * twR;
+    m3 = t2[0] * twI;
+
+    *p2++ = m0 + m1;
+    *p2++ = m2 - m3;
+    /* COL 3 */
+    twR = tw3[0];
+    twI = tw3[1];
+
+    m0 = t3[0] * twR;
+    m1 = t3[1] * twI;
+    m2 = t3[1] * twR;
+    m3 = t3[0] * twI;
+
+    *p3++ = m0 + m1;
+    *p3++ = m2 - m3;
+    /* COL 4 */
+    twR = tw4[0];
+    twI = tw4[1];
+
+    m0 = t4[0] * twR;
+    m1 = t4[1] * twI;
+    m2 = t4[1] * twR;
+    m3 = t4[0] * twI;
+
+    *p4++ = m0 + m1;
+    *p4++ = m2 - m3;
+
+    /* first col */
+    arm_radix8_butterfly_f32 (pCol1, L, (float32_t *) S->pTwiddle, 4U);
+
+    /* second col */
+    arm_radix8_butterfly_f32 (pCol2, L, (float32_t *) S->pTwiddle, 4U);
+
+    /* third col */
+    arm_radix8_butterfly_f32 (pCol3, L, (float32_t *) S->pTwiddle, 4U);
+
+    /* fourth col */
+    arm_radix8_butterfly_f32 (pCol4, L, (float32_t *) S->pTwiddle, 4U);
+}
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Processing function for the floating-point complex FFT.
+  @param[in]     S              points to an instance of the floating-point CFFT structure
+  @param[in,out] p1             points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place
+  @param[in]     ifftFlag       flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        none
+ */
+
+void arm_cfft_f32(
+  const arm_cfft_instance_f32 * S,
+        float32_t * p1,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag)
+{
+  uint32_t  L = S->fftLen, l;
+  float32_t invL, * pSrc;
+
+  if (ifftFlag == 1U)
+  {
+    /* Conjugate input data */
+    pSrc = p1 + 1;
+    for (l = 0; l < L; l++)
+    {
+      *pSrc = -*pSrc;
+      pSrc += 2;
+    }
+  }
+
+  switch (L)
+  {
+  case 16:
+  case 128:
+  case 1024:
+    arm_cfft_radix8by2_f32 ( (arm_cfft_instance_f32 *) S, p1);
+    break;
+  case 32:
+  case 256:
+  case 2048:
+    arm_cfft_radix8by4_f32 ( (arm_cfft_instance_f32 *) S, p1);
+    break;
+  case 64:
+  case 512:
+  case 4096:
+    arm_radix8_butterfly_f32 ( p1, L, (float32_t *) S->pTwiddle, 1);
+    break;
+  }
+
+  if ( bitReverseFlag )
+    arm_bitreversal_32 ((uint32_t*) p1, S->bitRevLength, S->pBitRevTable);
+
+  if (ifftFlag == 1U)
+  {
+    invL = 1.0f / (float32_t)L;
+
+    /* Conjugate and scale output data */
+    pSrc = p1;
+    for (l= 0; l < L; l++)
+    {
+      *pSrc++ *=   invL ;
+      *pSrc    = -(*pSrc) * invL;
+      pSrc++;
+    }
+  }
+}
+
+/**
+  @} end of ComplexFFT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q15.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q15.c
new file mode 100644
index 0000000..a47dd02
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q15.c
@@ -0,0 +1,332 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_q15.c
+ * Description:  Combined Radix Decimation in Q15 Frequency CFFT processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+extern void arm_radix4_butterfly_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pCoef,
+        uint32_t twidCoefModifier);
+
+extern void arm_radix4_butterfly_inverse_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pCoef,
+        uint32_t twidCoefModifier);
+
+extern void arm_bitreversal_16(
+        uint16_t * pSrc,
+  const uint16_t bitRevLen,
+  const uint16_t * pBitRevTable);
+
+void arm_cfft_radix4by2_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pCoef);
+
+void arm_cfft_radix4by2_inverse_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pCoef);
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Processing function for Q15 complex FFT.
+  @param[in]     S               points to an instance of Q15 CFFT structure
+  @param[in,out] p1              points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place
+  @param[in]     ifftFlag       flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        none
+ */
+
+void arm_cfft_q15(
+  const arm_cfft_instance_q15 * S,
+        q15_t * p1,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag)
+{
+  uint32_t L = S->fftLen;
+
+  if (ifftFlag == 1U)
+  {
+     switch (L)
+     {
+     case 16:
+     case 64:
+     case 256:
+     case 1024:
+     case 4096:
+       arm_radix4_butterfly_inverse_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 );
+       break;
+
+     case 32:
+     case 128:
+     case 512:
+     case 2048:
+       arm_cfft_radix4by2_inverse_q15 ( p1, L, S->pTwiddle );
+       break;
+     }
+  }
+  else
+  {
+     switch (L)
+     {
+     case 16:
+     case 64:
+     case 256:
+     case 1024:
+     case 4096:
+       arm_radix4_butterfly_q15  ( p1, L, (q15_t*)S->pTwiddle, 1 );
+       break;
+
+     case 32:
+     case 128:
+     case 512:
+     case 2048:
+       arm_cfft_radix4by2_q15  ( p1, L, S->pTwiddle );
+       break;
+     }
+  }
+
+  if ( bitReverseFlag )
+    arm_bitreversal_16 ((uint16_t*) p1, S->bitRevLength, S->pBitRevTable);
+}
+
+/**
+  @} end of ComplexFFT group
+ */
+
+void arm_cfft_radix4by2_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pCoef)
+{
+        uint32_t i;
+        uint32_t n2;
+        q15_t p0, p1, p2, p3;
+#if defined (ARM_MATH_DSP)
+        q31_t T, S, R;
+        q31_t coeff, out1, out2;
+  const q15_t *pC = pCoef;
+        q15_t *pSi = pSrc;
+        q15_t *pSl = pSrc + fftLen;
+#else
+        uint32_t l;
+        q15_t xt, yt, cosVal, sinVal;
+#endif
+
+  n2 = fftLen >> 1U;
+
+#if defined (ARM_MATH_DSP)
+
+  for (i = n2; i > 0; i--)
+  {
+      coeff = read_q15x2_ia ((q15_t **) &pC);
+
+      T = read_q15x2 (pSi);
+      T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */
+
+      S = read_q15x2 (pSl);
+      S = __SHADD16(S, 0); /* this is just a SIMD arithmetic shift right by 1 */
+
+      R = __QSUB16(T, S);
+
+      write_q15x2_ia (&pSi, __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      out1 = __SMUAD(coeff, R) >> 16U;
+      out2 = __SMUSDX(coeff, R);
+#else
+      out1 = __SMUSDX(R, coeff) >> 16U;
+      out2 = __SMUAD(coeff, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+      write_q15x2_ia (&pSl, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+  }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+  for (i = 0; i < n2; i++)
+  {
+     cosVal = pCoef[2 * i];
+     sinVal = pCoef[2 * i + 1];
+
+     l = i + n2;
+
+     xt =           (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U);
+     pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U;
+
+     yt =               (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U);
+     pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U;
+
+     pSrc[2 * l]     = (((int16_t) (((q31_t) xt * cosVal) >> 16U)) +
+                        ((int16_t) (((q31_t) yt * sinVal) >> 16U))  );
+
+     pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16U)) -
+                        ((int16_t) (((q31_t) xt * sinVal) >> 16U))   );
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  /* first col */
+  arm_radix4_butterfly_q15( pSrc,          n2, (q15_t*)pCoef, 2U);
+
+  /* second col */
+  arm_radix4_butterfly_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2U);
+
+  n2 = fftLen >> 1U;
+  for (i = 0; i < n2; i++)
+  {
+     p0 = pSrc[4 * i + 0];
+     p1 = pSrc[4 * i + 1];
+     p2 = pSrc[4 * i + 2];
+     p3 = pSrc[4 * i + 3];
+
+     p0 <<= 1U;
+     p1 <<= 1U;
+     p2 <<= 1U;
+     p3 <<= 1U;
+
+     pSrc[4 * i + 0] = p0;
+     pSrc[4 * i + 1] = p1;
+     pSrc[4 * i + 2] = p2;
+     pSrc[4 * i + 3] = p3;
+  }
+
+}
+
+void arm_cfft_radix4by2_inverse_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pCoef)
+{
+        uint32_t i;
+        uint32_t n2;
+        q15_t p0, p1, p2, p3;
+#if defined (ARM_MATH_DSP)
+        q31_t T, S, R;
+        q31_t coeff, out1, out2;
+  const q15_t *pC = pCoef;
+        q15_t *pSi = pSrc;
+        q15_t *pSl = pSrc + fftLen;
+#else
+        uint32_t l;
+        q15_t xt, yt, cosVal, sinVal;
+#endif
+
+  n2 = fftLen >> 1U;
+
+#if defined (ARM_MATH_DSP)
+
+  for (i = n2; i > 0; i--)
+  {
+     coeff = read_q15x2_ia ((q15_t **) &pC);
+
+     T = read_q15x2 (pSi);
+     T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */
+
+     S = read_q15x2 (pSl);
+     S = __SHADD16(S, 0); /* this is just a SIMD arithmetic shift right by 1 */
+
+     R = __QSUB16(T, S);
+
+     write_q15x2_ia (&pSi, __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+     out1 = __SMUSD(coeff, R) >> 16U;
+     out2 = __SMUADX(coeff, R);
+#else
+     out1 = __SMUADX(R, coeff) >> 16U;
+     out2 = __SMUSD(__QSUB(0, coeff), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+     write_q15x2_ia (&pSl, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+  }
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+  for (i = 0; i < n2; i++)
+  {
+     cosVal = pCoef[2 * i];
+     sinVal = pCoef[2 * i + 1];
+
+     l = i + n2;
+
+     xt =           (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U);
+     pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U;
+
+     yt =               (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U);
+     pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U;
+
+     pSrc[2 * l]      = (((int16_t) (((q31_t) xt * cosVal) >> 16U)) -
+                         ((int16_t) (((q31_t) yt * sinVal) >> 16U))  );
+
+     pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16U)) +
+                        ((int16_t) (((q31_t) xt * sinVal) >> 16U))  );
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  /* first col */
+  arm_radix4_butterfly_inverse_q15( pSrc,          n2, (q15_t*)pCoef, 2U);
+
+  /* second col */
+  arm_radix4_butterfly_inverse_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2U);
+
+  n2 = fftLen >> 1U;
+  for (i = 0; i < n2; i++)
+  {
+     p0 = pSrc[4 * i + 0];
+     p1 = pSrc[4 * i + 1];
+     p2 = pSrc[4 * i + 2];
+     p3 = pSrc[4 * i + 3];
+
+     p0 <<= 1U;
+     p1 <<= 1U;
+     p2 <<= 1U;
+     p3 <<= 1U;
+
+     pSrc[4 * i + 0] = p0;
+     pSrc[4 * i + 1] = p1;
+     pSrc[4 * i + 2] = p2;
+     pSrc[4 * i + 3] = p3;
+  }
+}
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c
new file mode 100644
index 0000000..785942f
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c
@@ -0,0 +1,254 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_q31.c
+ * Description:  Combined Radix Decimation in Frequency CFFT fixed point processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+extern void arm_radix4_butterfly_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef,
+        uint32_t twidCoefModifier);
+
+extern void arm_radix4_butterfly_inverse_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef,
+        uint32_t twidCoefModifier);
+
+extern void arm_bitreversal_32(
+        uint32_t * pSrc,
+  const uint16_t bitRevLen,
+  const uint16_t * pBitRevTable);
+
+void arm_cfft_radix4by2_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef);
+
+void arm_cfft_radix4by2_inverse_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef);
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 complex FFT.
+  @param[in]     S               points to an instance of the fixed-point CFFT structure
+  @param[in,out] p1              points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place
+  @param[in]     ifftFlag       flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        none
+ */
+
+void arm_cfft_q31(
+  const arm_cfft_instance_q31 * S,
+        q31_t * p1,
+        uint8_t ifftFlag,
+        uint8_t bitReverseFlag)
+{
+  uint32_t L = S->fftLen;
+
+  if (ifftFlag == 1U)
+  {
+     switch (L)
+     {
+     case 16:
+     case 64:
+     case 256:
+     case 1024:
+     case 4096:
+       arm_radix4_butterfly_inverse_q31 ( p1, L, (q31_t*)S->pTwiddle, 1 );
+       break;
+
+     case 32:
+     case 128:
+     case 512:
+     case 2048:
+       arm_cfft_radix4by2_inverse_q31 ( p1, L, S->pTwiddle );
+       break;
+     }
+  }
+  else
+  {
+     switch (L)
+     {
+     case 16:
+     case 64:
+     case 256:
+     case 1024:
+     case 4096:
+       arm_radix4_butterfly_q31 ( p1, L, (q31_t*)S->pTwiddle, 1 );
+       break;
+
+     case 32:
+     case 128:
+     case 512:
+     case 2048:
+       arm_cfft_radix4by2_q31 ( p1, L, S->pTwiddle );
+       break;
+     }
+  }
+
+  if ( bitReverseFlag )
+    arm_bitreversal_32 ((uint32_t*) p1, S->bitRevLength, S->pBitRevTable);
+}
+
+/**
+  @} end of ComplexFFT group
+ */
+
+void arm_cfft_radix4by2_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef)
+{
+        uint32_t i, l;
+        uint32_t n2;
+        q31_t xt, yt, cosVal, sinVal;
+        q31_t p0, p1;
+
+  n2 = fftLen >> 1U;
+  for (i = 0; i < n2; i++)
+  {
+     cosVal = pCoef[2 * i];
+     sinVal = pCoef[2 * i + 1];
+
+     l = i + n2;
+
+     xt =          (pSrc[2 * i] >> 2U) - (pSrc[2 * l] >> 2U);
+     pSrc[2 * i] = (pSrc[2 * i] >> 2U) + (pSrc[2 * l] >> 2U);
+
+     yt =              (pSrc[2 * i + 1] >> 2U) - (pSrc[2 * l + 1] >> 2U);
+     pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2U) + (pSrc[2 * i + 1] >> 2U);
+
+     mult_32x32_keep32_R(p0, xt, cosVal);
+     mult_32x32_keep32_R(p1, yt, cosVal);
+     multAcc_32x32_keep32_R(p0, yt, sinVal);
+     multSub_32x32_keep32_R(p1, xt, sinVal);
+
+     pSrc[2 * l]     = p0 << 1;
+     pSrc[2 * l + 1] = p1 << 1;
+  }
+
+  /* first col */
+  arm_radix4_butterfly_q31 (pSrc,          n2, (q31_t*)pCoef, 2U);
+
+  /* second col */
+  arm_radix4_butterfly_q31 (pSrc + fftLen, n2, (q31_t*)pCoef, 2U);
+
+  n2 = fftLen >> 1U;
+  for (i = 0; i < n2; i++)
+  {
+     p0 = pSrc[4 * i + 0];
+     p1 = pSrc[4 * i + 1];
+     xt = pSrc[4 * i + 2];
+     yt = pSrc[4 * i + 3];
+
+     p0 <<= 1U;
+     p1 <<= 1U;
+     xt <<= 1U;
+     yt <<= 1U;
+
+     pSrc[4 * i + 0] = p0;
+     pSrc[4 * i + 1] = p1;
+     pSrc[4 * i + 2] = xt;
+     pSrc[4 * i + 3] = yt;
+  }
+
+}
+
+void arm_cfft_radix4by2_inverse_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef)
+{
+  uint32_t i, l;
+  uint32_t n2;
+  q31_t xt, yt, cosVal, sinVal;
+  q31_t p0, p1;
+
+  n2 = fftLen >> 1U;
+  for (i = 0; i < n2; i++)
+  {
+     cosVal = pCoef[2 * i];
+     sinVal = pCoef[2 * i + 1];
+
+     l = i + n2;
+
+     xt =          (pSrc[2 * i] >> 2U) - (pSrc[2 * l] >> 2U);
+     pSrc[2 * i] = (pSrc[2 * i] >> 2U) + (pSrc[2 * l] >> 2U);
+
+     yt =              (pSrc[2 * i + 1] >> 2U) - (pSrc[2 * l + 1] >> 2U);
+     pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2U) + (pSrc[2 * i + 1] >> 2U);
+
+     mult_32x32_keep32_R(p0, xt, cosVal);
+     mult_32x32_keep32_R(p1, yt, cosVal);
+     multSub_32x32_keep32_R(p0, yt, sinVal);
+     multAcc_32x32_keep32_R(p1, xt, sinVal);
+
+     pSrc[2 * l]     = p0 << 1U;
+     pSrc[2 * l + 1] = p1 << 1U;
+  }
+
+  /* first col */
+  arm_radix4_butterfly_inverse_q31( pSrc,          n2, (q31_t*)pCoef, 2U);
+
+  /* second col */
+  arm_radix4_butterfly_inverse_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2U);
+
+  n2 = fftLen >> 1U;
+  for (i = 0; i < n2; i++)
+  {
+     p0 = pSrc[4 * i + 0];
+     p1 = pSrc[4 * i + 1];
+     xt = pSrc[4 * i + 2];
+     yt = pSrc[4 * i + 3];
+
+     p0 <<= 1U;
+     p1 <<= 1U;
+     xt <<= 1U;
+     yt <<= 1U;
+
+     pSrc[4 * i + 0] = p0;
+     pSrc[4 * i + 1] = p1;
+     pSrc[4 * i + 2] = xt;
+     pSrc[4 * i + 3] = yt;
+  }
+}
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c
new file mode 100644
index 0000000..c514fda
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c
@@ -0,0 +1,470 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix2_f32.c
+ * Description:  Radix-2 Decimation in Frequency CFFT & CIFFT Floating point processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+void arm_radix2_butterfly_f32(
+        float32_t * pSrc,
+        uint32_t fftLen,
+  const float32_t * pCoef,
+        uint16_t twidCoefModifier);
+
+void arm_radix2_butterfly_inverse_f32(
+        float32_t * pSrc,
+        uint32_t fftLen,
+  const float32_t * pCoef,
+        uint16_t twidCoefModifier,
+        float32_t onebyfftLen);
+
+extern void arm_bitreversal_f32(
+        float32_t * pSrc,
+        uint16_t fftSize,
+        uint16_t bitRevFactor,
+  const uint16_t * pBitRevTab);
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Radix-2 CFFT/CIFFT.
+  @deprecated    Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed in the future
+  @param[in]     S    points to an instance of the floating-point Radix-2 CFFT/CIFFT structure
+  @param[in,out] pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place
+  @return        none
+ */
+
+void arm_cfft_radix2_f32(
+const arm_cfft_radix2_instance_f32 * S,
+      float32_t * pSrc)
+{
+
+   if (S->ifftFlag == 1U)
+   {
+      /* Complex IFFT radix-2 */
+      arm_radix2_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle,
+      S->twidCoefModifier, S->onebyfftLen);
+   }
+   else
+   {
+      /* Complex FFT radix-2 */
+      arm_radix2_butterfly_f32(pSrc, S->fftLen, S->pTwiddle,
+      S->twidCoefModifier);
+   }
+
+   if (S->bitReverseFlag == 1U)
+   {
+      /* Bit Reversal */
+      arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+   }
+
+}
+
+
+/**
+  @} end of ComplexFFT group
+ */
+
+
+
+/* ----------------------------------------------------------------------
+ ** Internal helper function used by the FFTs
+ ** ------------------------------------------------------------------- */
+
+/**
+  brief  Core function for the floating-point CFFT butterfly process.
+  param[in,out] pSrc             points to in-place buffer of floating-point data type
+  param[in]     fftLen           length of the FFT
+  param[in]     pCoef            points to twiddle coefficient buffer
+  param[in]     twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+  return        none
+ */
+
+void arm_radix2_butterfly_f32(
+        float32_t * pSrc,
+        uint32_t fftLen,
+  const float32_t * pCoef,
+        uint16_t twidCoefModifier)
+{
+
+        uint32_t i, j, k, l;
+        uint32_t n1, n2, ia;
+        float32_t xt, yt, cosVal, sinVal;
+        float32_t p0, p1, p2, p3;
+        float32_t a0, a1;
+
+#if defined (ARM_MATH_DSP)
+
+   /*  Initializations for the first stage */
+   n2 = fftLen >> 1;
+   ia = 0;
+   i = 0;
+
+   // loop for groups
+   for (k = n2; k > 0; k--)
+   {
+      cosVal = pCoef[ia * 2];
+      sinVal = pCoef[(ia * 2) + 1];
+
+      /*  Twiddle coefficients index modifier */
+      ia += twidCoefModifier;
+
+      /*  index calculation for the input as, */
+      /*  pSrc[i + 0], pSrc[i + fftLen/1] */
+      l = i + n2;
+
+      /*  Butterfly implementation */
+      a0 = pSrc[2 * i] + pSrc[2 * l];
+      xt = pSrc[2 * i] - pSrc[2 * l];
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+      p0 = xt * cosVal;
+      p1 = yt * sinVal;
+      p2 = yt * cosVal;
+      p3 = xt * sinVal;
+
+      pSrc[2 * i]     = a0;
+      pSrc[2 * i + 1] = a1;
+
+      pSrc[2 * l]     = p0 + p1;
+      pSrc[2 * l + 1] = p2 - p3;
+
+      i++;
+   }                             // groups loop end
+
+   twidCoefModifier <<= 1U;
+
+   // loop for stage
+   for (k = n2; k > 2; k = k >> 1)
+   {
+      n1 = n2;
+      n2 = n2 >> 1;
+      ia = 0;
+
+      // loop for groups
+      j = 0;
+      do
+      {
+         cosVal = pCoef[ia * 2];
+         sinVal = pCoef[(ia * 2) + 1];
+         ia += twidCoefModifier;
+
+         // loop for butterfly
+         i = j;
+         do
+         {
+            l = i + n2;
+            a0 = pSrc[2 * i] + pSrc[2 * l];
+            xt = pSrc[2 * i] - pSrc[2 * l];
+
+            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+            a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+            p0 = xt * cosVal;
+            p1 = yt * sinVal;
+            p2 = yt * cosVal;
+            p3 = xt * sinVal;
+
+            pSrc[2 * i] = a0;
+            pSrc[2 * i + 1] = a1;
+
+            pSrc[2 * l]     = p0 + p1;
+            pSrc[2 * l + 1] = p2 - p3;
+
+            i += n1;
+         } while ( i < fftLen );                        // butterfly loop end
+         j++;
+      } while ( j < n2);                          // groups loop end
+      twidCoefModifier <<= 1U;
+   }                             // stages loop end
+
+   // loop for butterfly
+   for (i = 0; i < fftLen; i += 2)
+   {
+      a0 = pSrc[2 * i] + pSrc[2 * i + 2];
+      xt = pSrc[2 * i] - pSrc[2 * i + 2];
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * i + 3];
+      a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1];
+
+      pSrc[2 * i] = a0;
+      pSrc[2 * i + 1] = a1;
+      pSrc[2 * i + 2] = xt;
+      pSrc[2 * i + 3] = yt;
+   }                             // groups loop end
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+   n2 = fftLen;
+
+   // loop for stage
+   for (k = fftLen; k > 1; k = k >> 1)
+   {
+      n1 = n2;
+      n2 = n2 >> 1;
+      ia = 0;
+
+      // loop for groups
+      j = 0;
+      do
+      {
+         cosVal = pCoef[ia * 2];
+         sinVal = pCoef[(ia * 2) + 1];
+         ia += twidCoefModifier;
+
+         // loop for butterfly
+         i = j;
+         do
+         {
+            l = i + n2;
+            a0 = pSrc[2 * i] + pSrc[2 * l];
+            xt = pSrc[2 * i] - pSrc[2 * l];
+
+            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+            a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+            p0 = xt * cosVal;
+            p1 = yt * sinVal;
+            p2 = yt * cosVal;
+            p3 = xt * sinVal;
+
+            pSrc[2 * i] = a0;
+            pSrc[2 * i + 1] = a1;
+
+            pSrc[2 * l]     = p0 + p1;
+            pSrc[2 * l + 1] = p2 - p3;
+
+            i += n1;
+         } while (i < fftLen);
+         j++;
+      } while (j < n2);
+      twidCoefModifier <<= 1U;
+   }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+
+void arm_radix2_butterfly_inverse_f32(
+        float32_t * pSrc,
+        uint32_t fftLen,
+  const float32_t * pCoef,
+        uint16_t twidCoefModifier,
+        float32_t onebyfftLen)
+{
+
+        uint32_t i, j, k, l;
+        uint32_t n1, n2, ia;
+        float32_t xt, yt, cosVal, sinVal;
+        float32_t p0, p1, p2, p3;
+        float32_t a0, a1;
+
+#if defined (ARM_MATH_DSP)
+
+   n2 = fftLen >> 1;
+   ia = 0;
+
+   // loop for groups
+   for (i = 0; i < n2; i++)
+   {
+      cosVal = pCoef[ia * 2];
+      sinVal = pCoef[(ia * 2) + 1];
+      ia += twidCoefModifier;
+
+      l = i + n2;
+      a0 = pSrc[2 * i] + pSrc[2 * l];
+      xt = pSrc[2 * i] - pSrc[2 * l];
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+      p0 = xt * cosVal;
+      p1 = yt * sinVal;
+      p2 = yt * cosVal;
+      p3 = xt * sinVal;
+
+      pSrc[2 * i] = a0;
+      pSrc[2 * i + 1] = a1;
+
+      pSrc[2 * l]     = p0 - p1;
+      pSrc[2 * l + 1] = p2 + p3;
+   }                             // groups loop end
+
+   twidCoefModifier <<= 1U;
+
+   // loop for stage
+   for (k = fftLen / 2; k > 2; k = k >> 1)
+   {
+      n1 = n2;
+      n2 = n2 >> 1;
+      ia = 0;
+
+      // loop for groups
+      j = 0;
+      do
+      {
+         cosVal = pCoef[ia * 2];
+         sinVal = pCoef[(ia * 2) + 1];
+         ia += twidCoefModifier;
+
+         // loop for butterfly
+         i = j;
+         do
+         {
+            l = i + n2;
+            a0 = pSrc[2 * i] + pSrc[2 * l];
+            xt = pSrc[2 * i] - pSrc[2 * l];
+
+            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+            a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+            p0 = xt * cosVal;
+            p1 = yt * sinVal;
+            p2 = yt * cosVal;
+            p3 = xt * sinVal;
+
+            pSrc[2 * i] = a0;
+            pSrc[2 * i + 1] = a1;
+
+            pSrc[2 * l]     = p0 - p1;
+            pSrc[2 * l + 1] = p2 + p3;
+
+            i += n1;
+         } while ( i < fftLen );                 // butterfly loop end
+         j++;
+      } while (j < n2);                      // groups loop end
+
+      twidCoefModifier <<= 1U;
+   }                             // stages loop end
+
+   // loop for butterfly
+   for (i = 0; i < fftLen; i += 2)
+   {
+      a0 = pSrc[2 * i] + pSrc[2 * i + 2];
+      xt = pSrc[2 * i] - pSrc[2 * i + 2];
+
+      a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1];
+      yt = pSrc[2 * i + 1] - pSrc[2 * i + 3];
+
+      p0 = a0 * onebyfftLen;
+      p2 = xt * onebyfftLen;
+      p1 = a1 * onebyfftLen;
+      p3 = yt * onebyfftLen;
+
+      pSrc[2 * i] = p0;
+      pSrc[2 * i + 1] = p1;
+      pSrc[2 * i + 2] = p2;
+      pSrc[2 * i + 3] = p3;
+   }                             // butterfly loop end
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+   n2 = fftLen;
+
+   // loop for stage
+   for (k = fftLen; k > 2; k = k >> 1)
+   {
+      n1 = n2;
+      n2 = n2 >> 1;
+      ia = 0;
+
+      // loop for groups
+      j = 0;
+      do
+      {
+         cosVal = pCoef[ia * 2];
+         sinVal = pCoef[(ia * 2) + 1];
+         ia = ia + twidCoefModifier;
+
+         // loop for butterfly
+         i = j;
+         do
+         {
+            l = i + n2;
+            a0 = pSrc[2 * i] + pSrc[2 * l];
+            xt = pSrc[2 * i] - pSrc[2 * l];
+
+            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+            a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+
+            p0 = xt * cosVal;
+            p1 = yt * sinVal;
+            p2 = yt * cosVal;
+            p3 = xt * sinVal;
+
+            pSrc[2 * i] = a0;
+            pSrc[2 * i + 1] = a1;
+
+            pSrc[2 * l]     = p0 - p1;
+            pSrc[2 * l + 1] = p2 + p3;
+
+            i += n1;
+         } while ( i < fftLen );                    // butterfly loop end
+         j++;
+      } while ( j < n2 );                      // groups loop end
+
+      twidCoefModifier = twidCoefModifier << 1U;
+   }                             // stages loop end
+
+   n1 = n2;
+   n2 = n2 >> 1;
+
+   // loop for butterfly
+   for (i = 0; i < fftLen; i += n1)
+   {
+      l = i + n2;
+
+      a0 = pSrc[2 * i] + pSrc[2 * l];
+      xt = pSrc[2 * i] - pSrc[2 * l];
+
+      a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1];
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+
+      p0 = a0 * onebyfftLen;
+      p2 = xt * onebyfftLen;
+      p1 = a1 * onebyfftLen;
+      p3 = yt * onebyfftLen;
+
+      pSrc[2 * i] = p0;
+      pSrc[2 * l] = p2;
+
+      pSrc[2 * i + 1] = p1;
+      pSrc[2 * l + 1] = p3;
+   }                             // butterfly loop end
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c
new file mode 100644
index 0000000..4a11840
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c
@@ -0,0 +1,197 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix2_init_f32.c
+ * Description:  Radix-2 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point CFFT/CIFFT.
+  @deprecated    Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed in the future.
+  @param[in,out] S              points to an instance of the floating-point CFFT/CIFFT structure
+  @param[in]     fftLen         length of the FFT
+  @param[in]     ifftFlag       flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>fftLen</code> is not a supported length
+
+  @par           Details
+                   The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.
+                   Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated
+  @par
+                   The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
+                   Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+  @par
+                   The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
+  @par
+                   This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+*/
+
+arm_status arm_cfft_radix2_init_f32(
+  arm_cfft_radix2_instance_f32 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /*  Initialise the FFT length */
+  S->fftLen = fftLen;
+
+  /*  Initialise the Twiddle coefficient pointer */
+  S->pTwiddle = (float32_t *) twiddleCoef;
+
+  /*  Initialise the Flag for selection of CFFT or CIFFT */
+  S->ifftFlag = ifftFlag;
+
+  /*  Initialise the Flag for calculation Bit reversal or not */
+  S->bitReverseFlag = bitReverseFlag;
+
+  /*  Initializations of structure parameters depending on the FFT length */
+  switch (S->fftLen)
+  {
+
+  case 4096U:
+    /*  Initializations of structure parameters for 4096 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 1U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 1U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) armBitRevTable;
+    /*  Initialise the 1/fftLen Value */
+    S->onebyfftLen = 0.000244140625;
+    break;
+
+  case 2048U:
+    /*  Initializations of structure parameters for 2048 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 2U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 2U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
+    /*  Initialise the 1/fftLen Value */
+    S->onebyfftLen = 0.00048828125;
+    break;
+
+  case 1024U:
+    /*  Initializations of structure parameters for 1024 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 4U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 4U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+    /*  Initialise the 1/fftLen Value */
+    S->onebyfftLen = 0.0009765625f;
+    break;
+
+  case 512U:
+    /*  Initializations of structure parameters for 512 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 8U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 8U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
+    /*  Initialise the 1/fftLen Value */
+    S->onebyfftLen = 0.001953125;
+    break;
+
+  case 256U:
+    /*  Initializations of structure parameters for 256 point FFT */
+    S->twidCoefModifier = 16U;
+    S->bitRevFactor = 16U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+    S->onebyfftLen = 0.00390625f;
+    break;
+
+  case 128U:
+    /*  Initializations of structure parameters for 128 point FFT */
+    S->twidCoefModifier = 32U;
+    S->bitRevFactor = 32U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
+    S->onebyfftLen = 0.0078125;
+    break;
+
+  case 64U:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 64U;
+    S->bitRevFactor = 64U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+    S->onebyfftLen = 0.015625f;
+    break;
+
+  case 32U:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 128U;
+    S->bitRevFactor = 128U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
+    S->onebyfftLen = 0.03125;
+    break;
+
+  case 16U:
+    /*  Initializations of structure parameters for 16 point FFT */
+    S->twidCoefModifier = 256U;
+    S->bitRevFactor = 256U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+    S->onebyfftLen = 0.0625f;
+    break;
+
+
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**
+  @} end of ComplexFFT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c
new file mode 100644
index 0000000..a31b569
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c
@@ -0,0 +1,182 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix2_init_q15.c
+ * Description:  Radix-2 Decimation in Frequency Q15 FFT & IFFT initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupTransforms
+ */
+
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief                        Initialization function for the Q15 CFFT/CIFFT.
+  @deprecated                   Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed
+  @param[in,out] S              points to an instance of the Q15 CFFT/CIFFT structure.
+  @param[in]     fftLen         length of the FFT.
+  @param[in]     ifftFlag       flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>fftLen</code> is not a supported length
+
+  @par           Details
+                   The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.
+                   Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated
+  @par
+                   The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
+                   Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+  @par
+                   The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
+  @par
+                   This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+*/
+
+arm_status arm_cfft_radix2_init_q15(
+  arm_cfft_radix2_instance_q15 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /*  Initialise the FFT length */
+  S->fftLen = fftLen;
+
+  /*  Initialise the Twiddle coefficient pointer */
+  S->pTwiddle = (q15_t *) twiddleCoef_4096_q15;
+  /*  Initialise the Flag for selection of CFFT or CIFFT */
+  S->ifftFlag = ifftFlag;
+  /*  Initialise the Flag for calculation Bit reversal or not */
+  S->bitReverseFlag = bitReverseFlag;
+
+  /*  Initializations of structure parameters depending on the FFT length */
+  switch (S->fftLen)
+  {
+  case 4096U:
+    /*  Initializations of structure parameters for 4096 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 1U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 1U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) armBitRevTable;
+
+    break;
+
+  case 2048U:
+    /*  Initializations of structure parameters for 2048 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 2U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 2U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
+
+    break;
+
+  case 1024U:
+    /*  Initializations of structure parameters for 1024 point FFT */
+    S->twidCoefModifier = 4U;
+    S->bitRevFactor = 4U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+
+    break;
+
+  case 512U:
+    /*  Initializations of structure parameters for 512 point FFT */
+    S->twidCoefModifier = 8U;
+    S->bitRevFactor = 8U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
+
+    break;
+
+  case 256U:
+    /*  Initializations of structure parameters for 256 point FFT */
+    S->twidCoefModifier = 16U;
+    S->bitRevFactor = 16U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+
+    break;
+
+  case 128U:
+    /*  Initializations of structure parameters for 128 point FFT */
+    S->twidCoefModifier = 32U;
+    S->bitRevFactor = 32U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
+
+    break;
+
+  case 64U:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 64U;
+    S->bitRevFactor = 64U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+
+    break;
+
+  case 32U:
+    /*  Initializations of structure parameters for 32 point FFT */
+    S->twidCoefModifier = 128U;
+    S->bitRevFactor = 128U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
+
+    break;
+
+  case 16U:
+    /*  Initializations of structure parameters for 16 point FFT */
+    S->twidCoefModifier = 256U;
+    S->bitRevFactor = 256U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+
+    break;
+
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**
+  @} end of ComplexFFT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c
new file mode 100644
index 0000000..2cf4fd5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c
@@ -0,0 +1,179 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix2_init_q31.c
+ * Description:  Radix-2 Decimation in Frequency Fixed-point CFFT & CIFFT Initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q31 CFFT/CIFFT.
+  @deprecated    Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed in the future.
+  @param[in,out] S              points to an instance of the Q31 CFFT/CIFFT structure
+  @param[in]     fftLen         length of the FFT
+  @param[in]     ifftFlag       flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>fftLen</code> is not a supported length
+
+  @par           Details
+                   The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.
+                   Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated
+  @par
+                   The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
+                   Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+  @par
+                   The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
+  @par
+                   This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+*/
+
+arm_status arm_cfft_radix2_init_q31(
+  arm_cfft_radix2_instance_q31 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /*  Initialise the FFT length */
+  S->fftLen = fftLen;
+
+  /*  Initialise the Twiddle coefficient pointer */
+  S->pTwiddle = (q31_t *) twiddleCoef_4096_q31;
+
+  /*  Initialise the Flag for selection of CFFT or CIFFT */
+  S->ifftFlag = ifftFlag;
+
+  /*  Initialise the Flag for calculation Bit reversal or not */
+  S->bitReverseFlag = bitReverseFlag;
+
+  /*  Initializations of Instance structure depending on the FFT length */
+  switch (S->fftLen)
+  {
+    /*  Initializations of structure parameters for 4096 point FFT */
+  case 4096U:
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 1U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 1U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) armBitRevTable;
+    break;
+
+    /*  Initializations of structure parameters for 2048 point FFT */
+  case 2048U:
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 2U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 2U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[1];
+    break;
+
+    /*  Initializations of structure parameters for 1024 point FFT */
+  case 1024U:
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 4U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 4U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+    break;
+
+    /*  Initializations of structure parameters for 512 point FFT */
+  case 512U:
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 8U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 8U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[7];
+    break;
+
+  case 256U:
+    /*  Initializations of structure parameters for 256 point FFT */
+    S->twidCoefModifier = 16U;
+    S->bitRevFactor = 16U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+    break;
+
+  case 128U:
+    /*  Initializations of structure parameters for 128 point FFT */
+    S->twidCoefModifier = 32U;
+    S->bitRevFactor = 32U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[31];
+    break;
+
+  case 64U:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 64U;
+    S->bitRevFactor = 64U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+    break;
+
+  case 32U:
+    /*  Initializations of structure parameters for 32 point FFT */
+    S->twidCoefModifier = 128U;
+    S->bitRevFactor = 128U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[127];
+    break;
+
+  case 16U:
+    /*  Initializations of structure parameters for 16 point FFT */
+    S->twidCoefModifier = 256U;
+    S->bitRevFactor = 256U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+    break;
+
+
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**
+  @} end of ComplexFFT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c
new file mode 100644
index 0000000..fbb809e
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c
@@ -0,0 +1,689 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix2_q15.c
+ * Description:  Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+void arm_radix2_butterfly_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pCoef,
+        uint16_t twidCoefModifier);
+
+void arm_radix2_butterfly_inverse_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pCoef,
+        uint16_t twidCoefModifier);
+
+void arm_bitreversal_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+        uint16_t bitRevFactor,
+  const uint16_t * pBitRevTab);
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Processing function for the fixed-point CFFT/CIFFT.
+  @deprecated    Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed in the future.
+  @param[in]     S    points to an instance of the fixed-point CFFT/CIFFT structure
+  @param[in,out] pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place
+  @return        none
+ */
+
+void arm_cfft_radix2_q15(
+  const arm_cfft_radix2_instance_q15 * S,
+        q15_t * pSrc)
+{
+
+  if (S->ifftFlag == 1U)
+  {
+    arm_radix2_butterfly_inverse_q15 (pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+  }
+  else
+  {
+    arm_radix2_butterfly_q15 (pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+  }
+
+  arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+}
+
+/**
+  @} end of ComplexFFT group
+ */
+
+void arm_radix2_butterfly_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pCoef,
+        uint16_t twidCoefModifier)
+{
+#if defined (ARM_MATH_DSP)
+
+  uint32_t i, j, k, l;
+  uint32_t n1, n2, ia;
+  q15_t in;
+  q31_t T, S, R;
+  q31_t coeff, out1, out2;
+
+  //N = fftLen;
+  n2 = fftLen;
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  // loop for groups
+  for (i = 0; i < n2; i++)
+  {
+    coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+    ia = ia + twidCoefModifier;
+
+    l = i + n2;
+
+    T = read_q15x2 (pSrc + (2 * i));
+    in = ((int16_t) (T & 0xFFFF)) >> 1;
+    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    S = read_q15x2 (pSrc + (2 * l));
+    in = ((int16_t) (S & 0xFFFF)) >> 1;
+    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    R = __QSUB16(T, S);
+
+    write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    out1 = __SMUAD(coeff, R) >> 16;
+    out2 = __SMUSDX(coeff, R);
+#else
+    out1 = __SMUSDX(R, coeff) >> 16U;
+    out2 = __SMUAD(coeff, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    write_q15x2 (pSrc + (2U * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+    coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+    ia = ia + twidCoefModifier;
+
+    /* loop for butterfly */
+    i++;
+    l++;
+
+    T = read_q15x2 (pSrc + (2 * i));
+    in = ((int16_t) (T & 0xFFFF)) >> 1;
+    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    S = read_q15x2 (pSrc + (2 * l));
+    in = ((int16_t) (S & 0xFFFF)) >> 1;
+    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    R = __QSUB16(T, S);
+
+    write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    out1 = __SMUAD(coeff, R) >> 16;
+    out2 = __SMUSDX(coeff, R);
+#else
+
+    out1 = __SMUSDX(R, coeff) >> 16U;
+    out2 = __SMUAD(coeff, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    write_q15x2 (pSrc + (2U * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+  } /* groups loop end */
+
+  twidCoefModifier = twidCoefModifier << 1U;
+
+  /* loop for stage */
+  for (k = fftLen / 2; k > 2; k = k >> 1)
+  {
+    n1 = n2;
+    n2 = n2 >> 1;
+    ia = 0;
+
+    /* loop for groups */
+    for (j = 0; j < n2; j++)
+    {
+      coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+      ia = ia + twidCoefModifier;
+
+      /* loop for butterfly */
+      for (i = j; i < fftLen; i += n1)
+      {
+        l = i + n2;
+
+        T = read_q15x2 (pSrc + (2 * i));
+
+        S = read_q15x2 (pSrc + (2 * l));
+
+        R = __QSUB16(T, S);
+
+        write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        out1 = __SMUAD(coeff, R) >> 16;
+        out2 = __SMUSDX(coeff, R);
+#else
+        out1 = __SMUSDX(R, coeff) >> 16U;
+        out2 = __SMUAD(coeff, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        write_q15x2 (pSrc + (2U * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+        i += n1;
+
+        l = i + n2;
+
+        T = read_q15x2 (pSrc + (2 * i));
+
+        S = read_q15x2 (pSrc + (2 * l));
+
+        R = __QSUB16(T, S);
+
+        write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        out1 = __SMUAD(coeff, R) >> 16;
+        out2 = __SMUSDX(coeff, R);
+#else
+        out1 = __SMUSDX(R, coeff) >> 16U;
+        out2 = __SMUAD(coeff, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        write_q15x2 (pSrc + (2U * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+      } /* butterfly loop end */
+
+    } /* groups loop end */
+
+    twidCoefModifier = twidCoefModifier << 1U;
+  } /* stages loop end */
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+  ia = ia + twidCoefModifier;
+
+  /* loop for butterfly */
+  for (i = 0; i < fftLen; i += n1)
+  {
+    l = i + n2;
+
+    T = read_q15x2 (pSrc + (2 * i));
+
+    S = read_q15x2 (pSrc + (2 * l));
+
+    R = __QSUB16(T, S);
+
+    write_q15x2 (pSrc + (2 * i), __QADD16(T, S));
+
+    write_q15x2 (pSrc + (2 * l), R);
+
+    i += n1;
+    l = i + n2;
+
+    T = read_q15x2 (pSrc + (2 * i));
+
+    S = read_q15x2 (pSrc + (2 * l));
+
+    R = __QSUB16(T, S);
+
+    write_q15x2 (pSrc + (2 * i), __QADD16(T, S));
+
+    write_q15x2 (pSrc + (2 * l), R);
+
+  } /* groups loop end */
+
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+  uint32_t i, j, k, l;
+  uint32_t n1, n2, ia;
+  q15_t xt, yt, cosVal, sinVal;
+
+
+  // N = fftLen;
+  n2 = fftLen;
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  /* loop for groups */
+  for (j = 0; j < n2; j++)
+  {
+    cosVal = pCoef[(ia * 2)];
+    sinVal = pCoef[(ia * 2) + 1];
+    ia = ia + twidCoefModifier;
+
+    /* loop for butterfly */
+    for (i = j; i < fftLen; i += n1)
+    {
+      l = i + n2;
+      xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U);
+      pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U;
+
+      yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U);
+      pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) +
+                         (pSrc[2 * i + 1] >> 1U)  ) >> 1U;
+
+      pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
+                     ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+
+      pSrc[2U * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
+                          ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+
+    } /* butterfly loop end */
+
+  } /* groups loop end */
+
+  twidCoefModifier = twidCoefModifier << 1U;
+
+  /* loop for stage */
+  for (k = fftLen / 2; k > 2; k = k >> 1)
+  {
+    n1 = n2;
+    n2 = n2 >> 1;
+    ia = 0;
+
+    /* loop for groups */
+    for (j = 0; j < n2; j++)
+    {
+      cosVal = pCoef[ia * 2];
+      sinVal = pCoef[(ia * 2) + 1];
+      ia = ia + twidCoefModifier;
+
+      /* loop for butterfly */
+      for (i = j; i < fftLen; i += n1)
+      {
+        l = i + n2;
+        xt = pSrc[2 * i] - pSrc[2 * l];
+        pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U;
+
+        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+        pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U;
+
+        pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) +
+                       ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+
+        pSrc[2U * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) -
+                            ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+
+      } /* butterfly loop end */
+
+    } /* groups loop end */
+
+    twidCoefModifier = twidCoefModifier << 1U;
+  } /* stages loop end */
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  /* loop for groups */
+  for (j = 0; j < n2; j++)
+  {
+    cosVal = pCoef[ia * 2];
+    sinVal = pCoef[(ia * 2) + 1];
+
+    ia = ia + twidCoefModifier;
+
+    /* loop for butterfly */
+    for (i = j; i < fftLen; i += n1)
+    {
+      l = i + n2;
+      xt = pSrc[2 * i] - pSrc[2 * l];
+      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+      pSrc[2 * l] = xt;
+
+      pSrc[2 * l + 1] = yt;
+
+    } /* butterfly loop end */
+
+  } /* groups loop end */
+
+  twidCoefModifier = twidCoefModifier << 1U;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+
+void arm_radix2_butterfly_inverse_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pCoef,
+        uint16_t twidCoefModifier)
+{
+#if defined (ARM_MATH_DSP)
+
+        uint32_t i, j, k, l;
+        uint32_t n1, n2, ia;
+        q15_t in;
+        q31_t T, S, R;
+        q31_t coeff, out1, out2;
+
+  // N = fftLen;
+  n2 = fftLen;
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  /* loop for groups */
+  for (i = 0; i < n2; i++)
+  {
+    coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+    ia = ia + twidCoefModifier;
+
+    l = i + n2;
+
+    T = read_q15x2 (pSrc + (2 * i));
+    in = ((int16_t) (T & 0xFFFF)) >> 1;
+    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    S = read_q15x2 (pSrc + (2 * l));
+    in = ((int16_t) (S & 0xFFFF)) >> 1;
+    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    R = __QSUB16(T, S);
+
+    write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    out1 = __SMUSD(coeff, R) >> 16;
+    out2 = __SMUADX(coeff, R);
+#else
+    out1 = __SMUADX(R, coeff) >> 16U;
+    out2 = __SMUSD(__QSUB(0, coeff), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    write_q15x2 (pSrc + (2 * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+    coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+    ia = ia + twidCoefModifier;
+
+    /* loop for butterfly */
+    i++;
+    l++;
+
+    T = read_q15x2 (pSrc + (2 * i));
+    in = ((int16_t) (T & 0xFFFF)) >> 1;
+    T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    S = read_q15x2 (pSrc + (2 * l));
+    in = ((int16_t) (S & 0xFFFF)) >> 1;
+    S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF);
+
+    R = __QSUB16(T, S);
+
+    write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    out1 = __SMUSD(coeff, R) >> 16;
+    out2 = __SMUADX(coeff, R);
+#else
+    out1 = __SMUADX(R, coeff) >> 16U;
+    out2 = __SMUSD(__QSUB(0, coeff), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    write_q15x2 (pSrc + (2 * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+  } /* groups loop end */
+
+  twidCoefModifier = twidCoefModifier << 1U;
+
+  /* loop for stage */
+  for (k = fftLen / 2; k > 2; k = k >> 1)
+  {
+    n1 = n2;
+    n2 = n2 >> 1;
+    ia = 0;
+
+    /* loop for groups */
+    for (j = 0; j < n2; j++)
+    {
+      coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+      ia = ia + twidCoefModifier;
+
+      /* loop for butterfly */
+      for (i = j; i < fftLen; i += n1)
+      {
+        l = i + n2;
+
+        T = read_q15x2 (pSrc + (2 * i));
+
+        S = read_q15x2 (pSrc + (2 * l));
+
+        R = __QSUB16(T, S);
+
+        write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        out1 = __SMUSD(coeff, R) >> 16;
+        out2 = __SMUADX(coeff, R);
+#else
+        out1 = __SMUADX(R, coeff) >> 16U;
+        out2 = __SMUSD(__QSUB(0, coeff), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        write_q15x2 (pSrc + (2 * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+        i += n1;
+
+        l = i + n2;
+
+        T = read_q15x2 (pSrc + (2 * i));
+
+        S = read_q15x2 (pSrc + (2 * l));
+
+        R = __QSUB16(T, S);
+
+        write_q15x2 (pSrc + (2 * i), __SHADD16(T, S));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        out1 = __SMUSD(coeff, R) >> 16;
+        out2 = __SMUADX(coeff, R);
+#else
+        out1 = __SMUADX(R, coeff) >> 16U;
+        out2 = __SMUSD(__QSUB(0, coeff), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        write_q15x2 (pSrc + (2 * l), (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+      } /* butterfly loop end */
+
+    } /* groups loop end */
+
+    twidCoefModifier = twidCoefModifier << 1U;
+  } /* stages loop end */
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  /* loop for groups */
+  for (j = 0; j < n2; j++)
+  {
+    coeff = read_q15x2 ((q15_t *)pCoef + (ia * 2U));
+
+    ia = ia + twidCoefModifier;
+
+    /* loop for butterfly */
+    for (i = j; i < fftLen; i += n1)
+    {
+      l = i + n2;
+
+      T = read_q15x2 (pSrc + (2 * i));
+
+      S = read_q15x2 (pSrc + (2 * l));
+
+      R = __QSUB16(T, S);
+
+      write_q15x2 (pSrc + (2 * i), __QADD16(T, S));
+
+      write_q15x2 (pSrc + (2 * l), R);
+
+    } /* butterfly loop end */
+
+  } /* groups loop end */
+
+  twidCoefModifier = twidCoefModifier << 1U;
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+        uint32_t i, j, k, l;
+        uint32_t n1, n2, ia;
+        q15_t xt, yt, cosVal, sinVal;
+
+  // N = fftLen;
+  n2 = fftLen;
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  /* loop for groups */
+  for (j = 0; j < n2; j++)
+  {
+    cosVal = pCoef[(ia * 2)];
+    sinVal = pCoef[(ia * 2) + 1];
+    ia = ia + twidCoefModifier;
+
+    /* loop for butterfly */
+    for (i = j; i < fftLen; i += n1)
+    {
+      l = i + n2;
+      xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U);
+      pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U;
+
+      yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U);
+      pSrc[2 * i + 1] = ((pSrc[2 * l + 1] >> 1U) +
+                         (pSrc[2 * i + 1] >> 1U)  ) >> 1U;
+
+      pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
+                     ((int16_t) (((q31_t) yt * sinVal) >> 16)));
+
+      pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
+                         ((int16_t) (((q31_t) xt * sinVal) >> 16)));
+
+    } /* butterfly loop end */
+
+  } /* groups loop end */
+
+  twidCoefModifier = twidCoefModifier << 1U;
+
+  /* loop for stage */
+  for (k = fftLen / 2; k > 2; k = k >> 1)
+  {
+    n1 = n2;
+    n2 = n2 >> 1;
+    ia = 0;
+
+    /* loop for groups */
+    for (j = 0; j < n2; j++)
+    {
+      cosVal = pCoef[(ia * 2)];
+      sinVal = pCoef[(ia * 2) + 1];
+      ia = ia + twidCoefModifier;
+
+      /* loop for butterfly */
+      for (i = j; i < fftLen; i += n1)
+      {
+        l = i + n2;
+        xt = pSrc[2 * i] - pSrc[2 * l];
+        pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U;
+
+        yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+        pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U;
+
+        pSrc[2 * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) -
+                       ((int16_t) (((q31_t) yt * sinVal) >> 16))  );
+
+        pSrc[2 * l + 1] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) +
+                           ((int16_t) (((q31_t) xt * sinVal) >> 16))  );
+
+      } /* butterfly loop end */
+
+    } /* groups loop end */
+
+    twidCoefModifier = twidCoefModifier << 1U;
+  } /* stages loop end */
+
+  n1 = n2;
+  n2 = n2 >> 1;
+  ia = 0;
+
+  cosVal = pCoef[(ia * 2)];
+  sinVal = pCoef[(ia * 2) + 1];
+
+  ia = ia + twidCoefModifier;
+
+  /* loop for butterfly */
+  for (i = 0; i < fftLen; i += n1)
+  {
+    l = i + n2;
+    xt = pSrc[2 * i] - pSrc[2 * l];
+    pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+    yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+    pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+    pSrc[2 * l] = xt;
+
+    pSrc[2 * l + 1] = yt;
+
+  } /* groups loop end */
+
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c
new file mode 100644
index 0000000..27f1408
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c
@@ -0,0 +1,337 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix2_q31.c
+ * Description:  Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+void arm_radix2_butterfly_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef,
+        uint16_t twidCoefModifier);
+
+void arm_radix2_butterfly_inverse_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef,
+        uint16_t twidCoefModifier);
+
+void arm_bitreversal_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+        uint16_t bitRevFactor,
+  const uint16_t * pBitRevTab);
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Processing function for the fixed-point CFFT/CIFFT.
+  @deprecated    Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed in the future.
+  @param[in]     S    points to an instance of the fixed-point CFFT/CIFFT structure
+  @param[in,out] pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place
+  @return        none
+ */
+
+void arm_cfft_radix2_q31(
+  const arm_cfft_radix2_instance_q31 * S,
+        q31_t * pSrc)
+{
+
+   if (S->ifftFlag == 1U)
+   {
+      arm_radix2_butterfly_inverse_q31(pSrc, S->fftLen,
+      S->pTwiddle, S->twidCoefModifier);
+   }
+   else
+   {
+      arm_radix2_butterfly_q31(pSrc, S->fftLen,
+      S->pTwiddle, S->twidCoefModifier);
+   }
+
+   arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+}
+
+/**
+  @} end of ComplexFFT group
+ */
+
+void arm_radix2_butterfly_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef,
+        uint16_t twidCoefModifier)
+{
+
+   unsigned i, j, k, l, m;
+   unsigned n1, n2, ia;
+   q31_t xt, yt, cosVal, sinVal;
+   q31_t p0, p1;
+
+   //N = fftLen;
+   n2 = fftLen;
+
+   n1 = n2;
+   n2 = n2 >> 1;
+   ia = 0;
+
+   // loop for groups
+   for (i = 0; i < n2; i++)
+   {
+      cosVal = pCoef[ia * 2];
+      sinVal = pCoef[(ia * 2) + 1];
+      ia = ia + twidCoefModifier;
+
+      l = i + n2;
+      xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U);
+      pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U;
+
+      yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U);
+      pSrc[2 * i + 1] =
+        ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U;
+
+      mult_32x32_keep32_R(p0, xt, cosVal);
+      mult_32x32_keep32_R(p1, yt, cosVal);
+      multAcc_32x32_keep32_R(p0, yt, sinVal);
+      multSub_32x32_keep32_R(p1, xt, sinVal);
+
+      pSrc[2U * l] = p0;
+      pSrc[2U * l + 1U] = p1;
+
+   }                             // groups loop end
+
+   twidCoefModifier <<= 1U;
+
+   // loop for stage
+   for (k = fftLen / 2; k > 2; k = k >> 1)
+   {
+      n1 = n2;
+      n2 = n2 >> 1;
+      ia = 0;
+
+      // loop for groups
+      for (j = 0; j < n2; j++)
+      {
+         cosVal = pCoef[ia * 2];
+         sinVal = pCoef[(ia * 2) + 1];
+         ia = ia + twidCoefModifier;
+
+         // loop for butterfly
+         i = j;
+         m = fftLen / n1;
+         do
+         {
+            l = i + n2;
+            xt = pSrc[2 * i] - pSrc[2 * l];
+            pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U;
+
+            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+            pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U;
+
+            mult_32x32_keep32_R(p0, xt, cosVal);
+            mult_32x32_keep32_R(p1, yt, cosVal);
+            multAcc_32x32_keep32_R(p0, yt, sinVal);
+            multSub_32x32_keep32_R(p1, xt, sinVal);
+
+            pSrc[2U * l] = p0;
+            pSrc[2U * l + 1U] = p1;
+            i += n1;
+            m--;
+         } while ( m > 0);                   // butterfly loop end
+
+      }                           // groups loop end
+
+      twidCoefModifier <<= 1U;
+   }                             // stages loop end
+
+   n1 = n2;
+   n2 = n2 >> 1;
+   ia = 0;
+
+   cosVal = pCoef[ia * 2];
+   sinVal = pCoef[(ia * 2) + 1];
+   ia = ia + twidCoefModifier;
+
+   // loop for butterfly
+   for (i = 0; i < fftLen; i += n1)
+   {
+      l = i + n2;
+      xt = pSrc[2 * i] - pSrc[2 * l];
+      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+      pSrc[2U * l] = xt;
+
+      pSrc[2U * l + 1U] = yt;
+
+      i += n1;
+      l = i + n2;
+
+      xt = pSrc[2 * i] - pSrc[2 * l];
+      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+      pSrc[2U * l] = xt;
+
+      pSrc[2U * l + 1U] = yt;
+
+   }                             // butterfly loop end
+
+}
+
+
+void arm_radix2_butterfly_inverse_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef,
+        uint16_t twidCoefModifier)
+{
+
+   unsigned i, j, k, l;
+   unsigned n1, n2, ia;
+   q31_t xt, yt, cosVal, sinVal;
+   q31_t p0, p1;
+
+   //N = fftLen;
+   n2 = fftLen;
+
+   n1 = n2;
+   n2 = n2 >> 1;
+   ia = 0;
+
+   // loop for groups
+   for (i = 0; i < n2; i++)
+   {
+      cosVal = pCoef[ia * 2];
+      sinVal = pCoef[(ia * 2) + 1];
+      ia = ia + twidCoefModifier;
+
+      l = i + n2;
+      xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U);
+      pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U;
+
+      yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U);
+      pSrc[2 * i + 1] =
+        ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U;
+
+      mult_32x32_keep32_R(p0, xt, cosVal);
+      mult_32x32_keep32_R(p1, yt, cosVal);
+      multSub_32x32_keep32_R(p0, yt, sinVal);
+      multAcc_32x32_keep32_R(p1, xt, sinVal);
+
+      pSrc[2U * l] = p0;
+      pSrc[2U * l + 1U] = p1;
+   }                             // groups loop end
+
+   twidCoefModifier = twidCoefModifier << 1U;
+
+   // loop for stage
+   for (k = fftLen / 2; k > 2; k = k >> 1)
+   {
+      n1 = n2;
+      n2 = n2 >> 1;
+      ia = 0;
+
+      // loop for groups
+      for (j = 0; j < n2; j++)
+      {
+         cosVal = pCoef[ia * 2];
+         sinVal = pCoef[(ia * 2) + 1];
+         ia = ia + twidCoefModifier;
+
+         // loop for butterfly
+         for (i = j; i < fftLen; i += n1)
+         {
+            l = i + n2;
+            xt = pSrc[2 * i] - pSrc[2 * l];
+            pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U;
+
+            yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+            pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U;
+
+            mult_32x32_keep32_R(p0, xt, cosVal);
+            mult_32x32_keep32_R(p1, yt, cosVal);
+            multSub_32x32_keep32_R(p0, yt, sinVal);
+            multAcc_32x32_keep32_R(p1, xt, sinVal);
+
+            pSrc[2U * l] = p0;
+            pSrc[2U * l + 1U] = p1;
+         }                         // butterfly loop end
+
+      }                           // groups loop end
+
+      twidCoefModifier = twidCoefModifier << 1U;
+   }                             // stages loop end
+
+   n1 = n2;
+   n2 = n2 >> 1;
+   ia = 0;
+
+   cosVal = pCoef[ia * 2];
+   sinVal = pCoef[(ia * 2) + 1];
+   ia = ia + twidCoefModifier;
+
+   // loop for butterfly
+   for (i = 0; i < fftLen; i += n1)
+   {
+      l = i + n2;
+      xt = pSrc[2 * i] - pSrc[2 * l];
+      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+      pSrc[2U * l] = xt;
+
+      pSrc[2U * l + 1U] = yt;
+
+      i += n1;
+      l = i + n2;
+
+      xt = pSrc[2 * i] - pSrc[2 * l];
+      pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]);
+
+      yt = pSrc[2 * i + 1] - pSrc[2 * l + 1];
+      pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]);
+
+      pSrc[2U * l] = xt;
+
+      pSrc[2U * l + 1U] = yt;
+
+   }                             // butterfly loop end
+
+}
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c
new file mode 100644
index 0000000..675a303
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c
@@ -0,0 +1,1200 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix4_f32.c
+ * Description:  Radix-4 Decimation in Frequency CFFT & CIFFT Floating point processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+extern void arm_bitreversal_f32(
+        float32_t * pSrc,
+        uint16_t fftSize,
+        uint16_t bitRevFactor,
+  const uint16_t * pBitRevTab);
+
+void arm_radix4_butterfly_f32(
+        float32_t * pSrc,
+        uint16_t fftLen,
+  const float32_t * pCoef,
+        uint16_t twidCoefModifier);
+
+void arm_radix4_butterfly_inverse_f32(
+        float32_t * pSrc,
+        uint16_t fftLen,
+  const float32_t * pCoef,
+        uint16_t twidCoefModifier,
+        float32_t onebyfftLen);
+
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Processing function for the floating-point Radix-4 CFFT/CIFFT.
+  @deprecated    Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed in the future.
+  @param[in]     S    points to an instance of the floating-point Radix-4 CFFT/CIFFT structure
+  @param[in,out] pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place
+  @return        none
+ */
+
+void arm_cfft_radix4_f32(
+  const arm_cfft_radix4_instance_f32 * S,
+        float32_t * pSrc)
+{
+   if (S->ifftFlag == 1U)
+   {
+      /*  Complex IFFT radix-4  */
+      arm_radix4_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier, S->onebyfftLen);
+   }
+   else
+   {
+      /*  Complex FFT radix-4  */
+      arm_radix4_butterfly_f32(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+   }
+
+   if (S->bitReverseFlag == 1U)
+   {
+      /*  Bit Reversal */
+      arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+   }
+
+}
+
+/**
+  @} end of ComplexFFT group
+ */
+
+/* ----------------------------------------------------------------------
+ * Internal helper function used by the FFTs
+ * ---------------------------------------------------------------------- */
+
+/**
+  brief         Core function for the floating-point CFFT butterfly process.
+  param[in,out] pSrc             points to the in-place buffer of floating-point data type
+  param[in]     fftLen           length of the FFT
+  param[in]     pCoef            points to the twiddle coefficient buffer
+  param[in]     twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+  return        none
+ */
+
+void arm_radix4_butterfly_f32(
+        float32_t * pSrc,
+        uint16_t fftLen,
+  const float32_t * pCoef,
+        uint16_t twidCoefModifier)
+{
+        float32_t co1, co2, co3, si1, si2, si3;
+        uint32_t ia1, ia2, ia3;
+        uint32_t i0, i1, i2, i3;
+        uint32_t n1, n2, j, k;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
+        float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
+        Ybminusd;
+        float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
+        float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
+        float32_t *ptr1;
+        float32_t p0,p1,p2,p3,p4,p5;
+        float32_t a0,a1,a2,a3,a4,a5,a6,a7;
+
+   /*  Initializations for the first stage */
+   n2 = fftLen;
+   n1 = n2;
+
+   /* n2 = fftLen/4 */
+   n2 >>= 2U;
+   i0 = 0U;
+   ia1 = 0U;
+
+   j = n2;
+
+   /*  Calculation of first stage */
+   do
+   {
+      /*  index calculation for the input as, */
+      /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+      i1 = i0 + n2;
+      i2 = i1 + n2;
+      i3 = i2 + n2;
+
+      xaIn = pSrc[(2U * i0)];
+      yaIn = pSrc[(2U * i0) + 1U];
+
+      xbIn = pSrc[(2U * i1)];
+      ybIn = pSrc[(2U * i1) + 1U];
+
+      xcIn = pSrc[(2U * i2)];
+      ycIn = pSrc[(2U * i2) + 1U];
+
+      xdIn = pSrc[(2U * i3)];
+      ydIn = pSrc[(2U * i3) + 1U];
+
+      /* xa + xc */
+      Xaplusc = xaIn + xcIn;
+      /* xb + xd */
+      Xbplusd = xbIn + xdIn;
+      /* ya + yc */
+      Yaplusc = yaIn + ycIn;
+      /* yb + yd */
+      Ybplusd = ybIn + ydIn;
+
+      /*  index calculation for the coefficients */
+      ia2 = ia1 + ia1;
+      co2 = pCoef[ia2 * 2U];
+      si2 = pCoef[(ia2 * 2U) + 1U];
+
+      /* xa - xc */
+      Xaminusc = xaIn - xcIn;
+      /* xb - xd */
+      Xbminusd = xbIn - xdIn;
+      /* ya - yc */
+      Yaminusc = yaIn - ycIn;
+      /* yb - yd */
+      Ybminusd = ybIn - ydIn;
+
+      /* xa' = xa + xb + xc + xd */
+      pSrc[(2U * i0)] = Xaplusc + Xbplusd;
+      /* ya' = ya + yb + yc + yd */
+      pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd;
+
+      /* (xa - xc) + (yb - yd) */
+      Xb12C_out = (Xaminusc + Ybminusd);
+      /* (ya - yc) + (xb - xd) */
+      Yb12C_out = (Yaminusc - Xbminusd);
+      /* (xa + xc) - (xb + xd) */
+      Xc12C_out = (Xaplusc - Xbplusd);
+      /* (ya + yc) - (yb + yd) */
+      Yc12C_out = (Yaplusc - Ybplusd);
+      /* (xa - xc) - (yb - yd) */
+      Xd12C_out = (Xaminusc - Ybminusd);
+      /* (ya - yc) + (xb - xd) */
+      Yd12C_out = (Xbminusd + Yaminusc);
+
+      co1 = pCoef[ia1 * 2U];
+      si1 = pCoef[(ia1 * 2U) + 1U];
+
+      /*  index calculation for the coefficients */
+      ia3 = ia2 + ia1;
+      co3 = pCoef[ia3 * 2U];
+      si3 = pCoef[(ia3 * 2U) + 1U];
+
+      Xb12_out = Xb12C_out * co1;
+      Yb12_out = Yb12C_out * co1;
+      Xc12_out = Xc12C_out * co2;
+      Yc12_out = Yc12C_out * co2;
+      Xd12_out = Xd12C_out * co3;
+      Yd12_out = Yd12C_out * co3;
+
+      /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+      //Xb12_out -= Yb12C_out * si1;
+      p0 = Yb12C_out * si1;
+      /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+      //Yb12_out += Xb12C_out * si1;
+      p1 = Xb12C_out * si1;
+      /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+      //Xc12_out -= Yc12C_out * si2;
+      p2 = Yc12C_out * si2;
+      /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+      //Yc12_out += Xc12C_out * si2;
+      p3 = Xc12C_out * si2;
+      /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+      //Xd12_out -= Yd12C_out * si3;
+      p4 = Yd12C_out * si3;
+      /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+      //Yd12_out += Xd12C_out * si3;
+      p5 = Xd12C_out * si3;
+
+      Xb12_out += p0;
+      Yb12_out -= p1;
+      Xc12_out += p2;
+      Yc12_out -= p3;
+      Xd12_out += p4;
+      Yd12_out -= p5;
+
+      /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+      pSrc[2U * i1] = Xc12_out;
+
+      /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+      pSrc[(2U * i1) + 1U] = Yc12_out;
+
+      /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+      pSrc[2U * i2] = Xb12_out;
+
+      /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+      pSrc[(2U * i2) + 1U] = Yb12_out;
+
+      /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+      pSrc[2U * i3] = Xd12_out;
+
+      /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+      pSrc[(2U * i3) + 1U] = Yd12_out;
+
+      /*  Twiddle coefficients index modifier */
+      ia1 += twidCoefModifier;
+
+      /*  Updating input index */
+      i0++;
+
+   }
+   while (--j);
+
+   twidCoefModifier <<= 2U;
+
+   /*  Calculation of second stage to excluding last stage */
+   for (k = fftLen >> 2U; k > 4U; k >>= 2U)
+   {
+      /*  Initializations for the first stage */
+      n1 = n2;
+      n2 >>= 2U;
+      ia1 = 0U;
+
+      /*  Calculation of first stage */
+      j = 0;
+      do
+      {
+         /*  index calculation for the coefficients */
+         ia2 = ia1 + ia1;
+         ia3 = ia2 + ia1;
+         co1 = pCoef[(ia1 * 2U)];
+         si1 = pCoef[(ia1 * 2U) + 1U];
+         co2 = pCoef[(ia2 * 2U)];
+         si2 = pCoef[(ia2 * 2U) + 1U];
+         co3 = pCoef[(ia3 * 2U)];
+         si3 = pCoef[(ia3 * 2U) + 1U];
+
+         /*  Twiddle coefficients index modifier */
+         ia1 += twidCoefModifier;
+
+         i0 = j;
+         do
+         {
+            /*  index calculation for the input as, */
+            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+            i1 = i0 + n2;
+            i2 = i1 + n2;
+            i3 = i2 + n2;
+
+            xaIn = pSrc[(2U * i0)];
+            yaIn = pSrc[(2U * i0) + 1U];
+
+            xbIn = pSrc[(2U * i1)];
+            ybIn = pSrc[(2U * i1) + 1U];
+
+            xcIn = pSrc[(2U * i2)];
+            ycIn = pSrc[(2U * i2) + 1U];
+
+            xdIn = pSrc[(2U * i3)];
+            ydIn = pSrc[(2U * i3) + 1U];
+
+            /* xa - xc */
+            Xaminusc = xaIn - xcIn;
+            /* (xb - xd) */
+            Xbminusd = xbIn - xdIn;
+            /* ya - yc */
+            Yaminusc = yaIn - ycIn;
+            /* (yb - yd) */
+            Ybminusd = ybIn - ydIn;
+
+            /* xa + xc */
+            Xaplusc = xaIn + xcIn;
+            /* xb + xd */
+            Xbplusd = xbIn + xdIn;
+            /* ya + yc */
+            Yaplusc = yaIn + ycIn;
+            /* yb + yd */
+            Ybplusd = ybIn + ydIn;
+
+            /* (xa - xc) + (yb - yd) */
+            Xb12C_out = (Xaminusc + Ybminusd);
+            /* (ya - yc) -  (xb - xd) */
+            Yb12C_out = (Yaminusc - Xbminusd);
+            /* xa + xc -(xb + xd) */
+            Xc12C_out = (Xaplusc - Xbplusd);
+            /* (ya + yc) - (yb + yd) */
+            Yc12C_out = (Yaplusc - Ybplusd);
+            /* (xa - xc) - (yb - yd) */
+            Xd12C_out = (Xaminusc - Ybminusd);
+            /* (ya - yc) +  (xb - xd) */
+            Yd12C_out = (Xbminusd + Yaminusc);
+
+            pSrc[(2U * i0)] = Xaplusc + Xbplusd;
+            pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd;
+
+            Xb12_out = Xb12C_out * co1;
+            Yb12_out = Yb12C_out * co1;
+            Xc12_out = Xc12C_out * co2;
+            Yc12_out = Yc12C_out * co2;
+            Xd12_out = Xd12C_out * co3;
+            Yd12_out = Yd12C_out * co3;
+
+            /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+            //Xb12_out -= Yb12C_out * si1;
+            p0 = Yb12C_out * si1;
+            /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+            //Yb12_out += Xb12C_out * si1;
+            p1 = Xb12C_out * si1;
+            /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+            //Xc12_out -= Yc12C_out * si2;
+            p2 = Yc12C_out * si2;
+            /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+            //Yc12_out += Xc12C_out * si2;
+            p3 = Xc12C_out * si2;
+            /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+            //Xd12_out -= Yd12C_out * si3;
+            p4 = Yd12C_out * si3;
+            /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+            //Yd12_out += Xd12C_out * si3;
+            p5 = Xd12C_out * si3;
+
+            Xb12_out += p0;
+            Yb12_out -= p1;
+            Xc12_out += p2;
+            Yc12_out -= p3;
+            Xd12_out += p4;
+            Yd12_out -= p5;
+
+            /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+            pSrc[2U * i1] = Xc12_out;
+
+            /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+            pSrc[(2U * i1) + 1U] = Yc12_out;
+
+            /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+            pSrc[2U * i2] = Xb12_out;
+
+            /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+            pSrc[(2U * i2) + 1U] = Yb12_out;
+
+            /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+            pSrc[2U * i3] = Xd12_out;
+
+            /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+            pSrc[(2U * i3) + 1U] = Yd12_out;
+
+            i0 += n1;
+         } while (i0 < fftLen);
+         j++;
+      } while (j <= (n2 - 1U));
+      twidCoefModifier <<= 2U;
+   }
+
+   j = fftLen >> 2;
+   ptr1 = &pSrc[0];
+
+   /*  Calculations of last stage */
+   do
+   {
+      xaIn = ptr1[0];
+      yaIn = ptr1[1];
+      xbIn = ptr1[2];
+      ybIn = ptr1[3];
+      xcIn = ptr1[4];
+      ycIn = ptr1[5];
+      xdIn = ptr1[6];
+      ydIn = ptr1[7];
+
+      /* xa + xc */
+      Xaplusc = xaIn + xcIn;
+
+      /* xa - xc */
+      Xaminusc = xaIn - xcIn;
+
+      /* ya + yc */
+      Yaplusc = yaIn + ycIn;
+
+      /* ya - yc */
+      Yaminusc = yaIn - ycIn;
+
+      /* xb + xd */
+      Xbplusd = xbIn + xdIn;
+
+      /* yb + yd */
+      Ybplusd = ybIn + ydIn;
+
+      /* (xb-xd) */
+      Xbminusd = xbIn - xdIn;
+
+      /* (yb-yd) */
+      Ybminusd = ybIn - ydIn;
+
+      /* xa' = xa + xb + xc + xd */
+      a0 = (Xaplusc + Xbplusd);
+      /* ya' = ya + yb + yc + yd */
+      a1 = (Yaplusc + Ybplusd);
+      /* xc' = (xa-xb+xc-xd) */
+      a2 = (Xaplusc - Xbplusd);
+      /* yc' = (ya-yb+yc-yd) */
+      a3 = (Yaplusc - Ybplusd);
+      /* xb' = (xa+yb-xc-yd) */
+      a4 = (Xaminusc + Ybminusd);
+      /* yb' = (ya-xb-yc+xd) */
+      a5 = (Yaminusc - Xbminusd);
+      /* xd' = (xa-yb-xc+yd)) */
+      a6 = (Xaminusc - Ybminusd);
+      /* yd' = (ya+xb-yc-xd) */
+      a7 = (Xbminusd + Yaminusc);
+
+      ptr1[0] = a0;
+      ptr1[1] = a1;
+      ptr1[2] = a2;
+      ptr1[3] = a3;
+      ptr1[4] = a4;
+      ptr1[5] = a5;
+      ptr1[6] = a6;
+      ptr1[7] = a7;
+
+      /* increment pointer by 8 */
+      ptr1 += 8U;
+   } while (--j);
+
+#else
+
+        float32_t t1, t2, r1, r2, s1, s2;
+
+   /* Initializations for the fft calculation */
+   n2 = fftLen;
+   n1 = n2;
+   for (k = fftLen; k > 1U; k >>= 2U)
+   {
+      /*  Initializations for the fft calculation */
+      n1 = n2;
+      n2 >>= 2U;
+      ia1 = 0U;
+
+      /*  FFT Calculation */
+      j = 0;
+      do
+      {
+         /*  index calculation for the coefficients */
+         ia2 = ia1 + ia1;
+         ia3 = ia2 + ia1;
+         co1 = pCoef[ia1 * 2U];
+         si1 = pCoef[(ia1 * 2U) + 1U];
+         co2 = pCoef[ia2 * 2U];
+         si2 = pCoef[(ia2 * 2U) + 1U];
+         co3 = pCoef[ia3 * 2U];
+         si3 = pCoef[(ia3 * 2U) + 1U];
+
+         /*  Twiddle coefficients index modifier */
+         ia1 = ia1 + twidCoefModifier;
+
+         i0 = j;
+         do
+         {
+            /*  index calculation for the input as, */
+            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+            i1 = i0 + n2;
+            i2 = i1 + n2;
+            i3 = i2 + n2;
+
+            /* xa + xc */
+            r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)];
+
+            /* xa - xc */
+            r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)];
+
+            /* ya + yc */
+            s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
+
+            /* ya - yc */
+            s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
+
+            /* xb + xd */
+            t1 = pSrc[2U * i1] + pSrc[2U * i3];
+
+            /* xa' = xa + xb + xc + xd */
+            pSrc[2U * i0] = r1 + t1;
+
+            /* xa + xc -(xb + xd) */
+            r1 = r1 - t1;
+
+            /* yb + yd */
+            t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
+
+            /* ya' = ya + yb + yc + yd */
+            pSrc[(2U * i0) + 1U] = s1 + t2;
+
+            /* (ya + yc) - (yb + yd) */
+            s1 = s1 - t2;
+
+            /* (yb - yd) */
+            t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
+
+            /* (xb - xd) */
+            t2 = pSrc[2U * i1] - pSrc[2U * i3];
+
+            /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+            pSrc[2U * i1] = (r1 * co2) + (s1 * si2);
+
+            /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+            pSrc[(2U * i1) + 1U] = (s1 * co2) - (r1 * si2);
+
+            /* (xa - xc) + (yb - yd) */
+            r1 = r2 + t1;
+
+            /* (xa - xc) - (yb - yd) */
+            r2 = r2 - t1;
+
+            /* (ya - yc) -  (xb - xd) */
+            s1 = s2 - t2;
+
+            /* (ya - yc) +  (xb - xd) */
+            s2 = s2 + t2;
+
+            /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+            pSrc[2U * i2] = (r1 * co1) + (s1 * si1);
+
+            /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+            pSrc[(2U * i2) + 1U] = (s1 * co1) - (r1 * si1);
+
+            /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+            pSrc[2U * i3] = (r2 * co3) + (s2 * si3);
+
+            /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+            pSrc[(2U * i3) + 1U] = (s2 * co3) - (r2 * si3);
+
+            i0 += n1;
+         } while ( i0 < fftLen);
+         j++;
+      } while (j <= (n2 - 1U));
+      twidCoefModifier <<= 2U;
+   }
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+}
+
+/**
+  brief         Core function for the floating-point CIFFT butterfly process.
+  param[in,out] pSrc             points to the in-place buffer of floating-point data type
+  param[in]     fftLen           length of the FFT
+  param[in]     pCoef            points to twiddle coefficient buffer
+  param[in]     twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+  param[in]     onebyfftLen      value of 1/fftLen
+  return        none
+ */
+
+void arm_radix4_butterfly_inverse_f32(
+        float32_t * pSrc,
+        uint16_t fftLen,
+  const float32_t * pCoef,
+        uint16_t twidCoefModifier,
+        float32_t onebyfftLen)
+{
+        float32_t co1, co2, co3, si1, si2, si3;
+        uint32_t ia1, ia2, ia3;
+        uint32_t i0, i1, i2, i3;
+        uint32_t n1, n2, j, k;
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+        float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn;
+        float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc,
+        Ybminusd;
+        float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out;
+        float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out;
+        float32_t *ptr1;
+        float32_t p0,p1,p2,p3,p4,p5,p6,p7;
+        float32_t a0,a1,a2,a3,a4,a5,a6,a7;
+
+
+   /*  Initializations for the first stage */
+   n2 = fftLen;
+   n1 = n2;
+
+   /* n2 = fftLen/4 */
+   n2 >>= 2U;
+   i0 = 0U;
+   ia1 = 0U;
+
+   j = n2;
+
+   /*  Calculation of first stage */
+   do
+   {
+      /*  index calculation for the input as, */
+      /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+      i1 = i0 + n2;
+      i2 = i1 + n2;
+      i3 = i2 + n2;
+
+      /*  Butterfly implementation */
+      xaIn = pSrc[(2U * i0)];
+      yaIn = pSrc[(2U * i0) + 1U];
+
+      xcIn = pSrc[(2U * i2)];
+      ycIn = pSrc[(2U * i2) + 1U];
+
+      xbIn = pSrc[(2U * i1)];
+      ybIn = pSrc[(2U * i1) + 1U];
+
+      xdIn = pSrc[(2U * i3)];
+      ydIn = pSrc[(2U * i3) + 1U];
+
+      /* xa + xc */
+      Xaplusc = xaIn + xcIn;
+      /* xb + xd */
+      Xbplusd = xbIn + xdIn;
+      /* ya + yc */
+      Yaplusc = yaIn + ycIn;
+      /* yb + yd */
+      Ybplusd = ybIn + ydIn;
+
+      /*  index calculation for the coefficients */
+      ia2 = ia1 + ia1;
+      co2 = pCoef[ia2 * 2U];
+      si2 = pCoef[(ia2 * 2U) + 1U];
+
+      /* xa - xc */
+      Xaminusc = xaIn - xcIn;
+      /* xb - xd */
+      Xbminusd = xbIn - xdIn;
+      /* ya - yc */
+      Yaminusc = yaIn - ycIn;
+      /* yb - yd */
+      Ybminusd = ybIn - ydIn;
+
+      /* xa' = xa + xb + xc + xd */
+      pSrc[(2U * i0)] = Xaplusc + Xbplusd;
+
+      /* ya' = ya + yb + yc + yd */
+      pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd;
+
+      /* (xa - xc) - (yb - yd) */
+      Xb12C_out = (Xaminusc - Ybminusd);
+      /* (ya - yc) + (xb - xd) */
+      Yb12C_out = (Yaminusc + Xbminusd);
+      /* (xa + xc) - (xb + xd) */
+      Xc12C_out = (Xaplusc - Xbplusd);
+      /* (ya + yc) - (yb + yd) */
+      Yc12C_out = (Yaplusc - Ybplusd);
+      /* (xa - xc) + (yb - yd) */
+      Xd12C_out = (Xaminusc + Ybminusd);
+      /* (ya - yc) - (xb - xd) */
+      Yd12C_out = (Yaminusc - Xbminusd);
+
+      co1 = pCoef[ia1 * 2U];
+      si1 = pCoef[(ia1 * 2U) + 1U];
+
+      /*  index calculation for the coefficients */
+      ia3 = ia2 + ia1;
+      co3 = pCoef[ia3 * 2U];
+      si3 = pCoef[(ia3 * 2U) + 1U];
+
+      Xb12_out = Xb12C_out * co1;
+      Yb12_out = Yb12C_out * co1;
+      Xc12_out = Xc12C_out * co2;
+      Yc12_out = Yc12C_out * co2;
+      Xd12_out = Xd12C_out * co3;
+      Yd12_out = Yd12C_out * co3;
+
+      /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+      //Xb12_out -= Yb12C_out * si1;
+      p0 = Yb12C_out * si1;
+      /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+      //Yb12_out += Xb12C_out * si1;
+      p1 = Xb12C_out * si1;
+      /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+      //Xc12_out -= Yc12C_out * si2;
+      p2 = Yc12C_out * si2;
+      /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+      //Yc12_out += Xc12C_out * si2;
+      p3 = Xc12C_out * si2;
+      /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+      //Xd12_out -= Yd12C_out * si3;
+      p4 = Yd12C_out * si3;
+      /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+      //Yd12_out += Xd12C_out * si3;
+      p5 = Xd12C_out * si3;
+
+      Xb12_out -= p0;
+      Yb12_out += p1;
+      Xc12_out -= p2;
+      Yc12_out += p3;
+      Xd12_out -= p4;
+      Yd12_out += p5;
+
+      /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+      pSrc[2U * i1] = Xc12_out;
+
+      /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+      pSrc[(2U * i1) + 1U] = Yc12_out;
+
+      /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+      pSrc[2U * i2] = Xb12_out;
+
+      /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+      pSrc[(2U * i2) + 1U] = Yb12_out;
+
+      /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+      pSrc[2U * i3] = Xd12_out;
+
+      /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+      pSrc[(2U * i3) + 1U] = Yd12_out;
+
+      /*  Twiddle coefficients index modifier */
+      ia1 = ia1 + twidCoefModifier;
+
+      /*  Updating input index */
+      i0 = i0 + 1U;
+
+   } while (--j);
+
+   twidCoefModifier <<= 2U;
+
+   /*  Calculation of second stage to excluding last stage */
+   for (k = fftLen >> 2U; k > 4U; k >>= 2U)
+   {
+      /*  Initializations for the first stage */
+      n1 = n2;
+      n2 >>= 2U;
+      ia1 = 0U;
+
+      /*  Calculation of first stage */
+      j = 0;
+      do
+      {
+         /*  index calculation for the coefficients */
+         ia2 = ia1 + ia1;
+         ia3 = ia2 + ia1;
+         co1 = pCoef[ia1 * 2U];
+         si1 = pCoef[(ia1 * 2U) + 1U];
+         co2 = pCoef[ia2 * 2U];
+         si2 = pCoef[(ia2 * 2U) + 1U];
+         co3 = pCoef[ia3 * 2U];
+         si3 = pCoef[(ia3 * 2U) + 1U];
+
+         /*  Twiddle coefficients index modifier */
+         ia1 = ia1 + twidCoefModifier;
+
+         i0 = j;
+         do
+         {
+            /*  index calculation for the input as, */
+            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+            i1 = i0 + n2;
+            i2 = i1 + n2;
+            i3 = i2 + n2;
+
+            xaIn = pSrc[(2U * i0)];
+            yaIn = pSrc[(2U * i0) + 1U];
+
+            xbIn = pSrc[(2U * i1)];
+            ybIn = pSrc[(2U * i1) + 1U];
+
+            xcIn = pSrc[(2U * i2)];
+            ycIn = pSrc[(2U * i2) + 1U];
+
+            xdIn = pSrc[(2U * i3)];
+            ydIn = pSrc[(2U * i3) + 1U];
+
+            /* xa - xc */
+            Xaminusc = xaIn - xcIn;
+            /* (xb - xd) */
+            Xbminusd = xbIn - xdIn;
+            /* ya - yc */
+            Yaminusc = yaIn - ycIn;
+            /* (yb - yd) */
+            Ybminusd = ybIn - ydIn;
+
+            /* xa + xc */
+            Xaplusc = xaIn + xcIn;
+            /* xb + xd */
+            Xbplusd = xbIn + xdIn;
+            /* ya + yc */
+            Yaplusc = yaIn + ycIn;
+            /* yb + yd */
+            Ybplusd = ybIn + ydIn;
+
+            /* (xa - xc) - (yb - yd) */
+            Xb12C_out = (Xaminusc - Ybminusd);
+            /* (ya - yc) +  (xb - xd) */
+            Yb12C_out = (Yaminusc + Xbminusd);
+            /* xa + xc -(xb + xd) */
+            Xc12C_out = (Xaplusc - Xbplusd);
+            /* (ya + yc) - (yb + yd) */
+            Yc12C_out = (Yaplusc - Ybplusd);
+            /* (xa - xc) + (yb - yd) */
+            Xd12C_out = (Xaminusc + Ybminusd);
+            /* (ya - yc) -  (xb - xd) */
+            Yd12C_out = (Yaminusc - Xbminusd);
+
+            pSrc[(2U * i0)] = Xaplusc + Xbplusd;
+            pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd;
+
+            Xb12_out = Xb12C_out * co1;
+            Yb12_out = Yb12C_out * co1;
+            Xc12_out = Xc12C_out * co2;
+            Yc12_out = Yc12C_out * co2;
+            Xd12_out = Xd12C_out * co3;
+            Yd12_out = Yd12C_out * co3;
+
+            /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+            //Xb12_out -= Yb12C_out * si1;
+            p0 = Yb12C_out * si1;
+            /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+            //Yb12_out += Xb12C_out * si1;
+            p1 = Xb12C_out * si1;
+            /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+            //Xc12_out -= Yc12C_out * si2;
+            p2 = Yc12C_out * si2;
+            /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+            //Yc12_out += Xc12C_out * si2;
+            p3 = Xc12C_out * si2;
+            /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+            //Xd12_out -= Yd12C_out * si3;
+            p4 = Yd12C_out * si3;
+            /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+            //Yd12_out += Xd12C_out * si3;
+            p5 = Xd12C_out * si3;
+
+            Xb12_out -= p0;
+            Yb12_out += p1;
+            Xc12_out -= p2;
+            Yc12_out += p3;
+            Xd12_out -= p4;
+            Yd12_out += p5;
+
+            /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+            pSrc[2U * i1] = Xc12_out;
+
+            /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+            pSrc[(2U * i1) + 1U] = Yc12_out;
+
+            /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+            pSrc[2U * i2] = Xb12_out;
+
+            /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+            pSrc[(2U * i2) + 1U] = Yb12_out;
+
+            /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+            pSrc[2U * i3] = Xd12_out;
+
+            /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+            pSrc[(2U * i3) + 1U] = Yd12_out;
+
+            i0 += n1;
+         } while (i0 < fftLen);
+         j++;
+      } while (j <= (n2 - 1U));
+      twidCoefModifier <<= 2U;
+   }
+   /*  Initializations of last stage */
+
+   j = fftLen >> 2;
+   ptr1 = &pSrc[0];
+
+   /*  Calculations of last stage */
+   do
+   {
+      xaIn = ptr1[0];
+      yaIn = ptr1[1];
+      xbIn = ptr1[2];
+      ybIn = ptr1[3];
+      xcIn = ptr1[4];
+      ycIn = ptr1[5];
+      xdIn = ptr1[6];
+      ydIn = ptr1[7];
+
+      /*  Butterfly implementation */
+      /* xa + xc */
+      Xaplusc = xaIn + xcIn;
+
+      /* xa - xc */
+      Xaminusc = xaIn - xcIn;
+
+      /* ya + yc */
+      Yaplusc = yaIn + ycIn;
+
+      /* ya - yc */
+      Yaminusc = yaIn - ycIn;
+
+      /* xb + xd */
+      Xbplusd = xbIn + xdIn;
+
+      /* yb + yd */
+      Ybplusd = ybIn + ydIn;
+
+      /* (xb-xd) */
+      Xbminusd = xbIn - xdIn;
+
+      /* (yb-yd) */
+      Ybminusd = ybIn - ydIn;
+
+      /* xa' = (xa+xb+xc+xd) * onebyfftLen */
+      a0 = (Xaplusc + Xbplusd);
+      /* ya' = (ya+yb+yc+yd) * onebyfftLen */
+      a1 = (Yaplusc + Ybplusd);
+      /* xc' = (xa-xb+xc-xd) * onebyfftLen */
+      a2 = (Xaplusc - Xbplusd);
+      /* yc' = (ya-yb+yc-yd) * onebyfftLen  */
+      a3 = (Yaplusc - Ybplusd);
+      /* xb' = (xa-yb-xc+yd) * onebyfftLen */
+      a4 = (Xaminusc - Ybminusd);
+      /* yb' = (ya+xb-yc-xd) * onebyfftLen */
+      a5 = (Yaminusc + Xbminusd);
+      /* xd' = (xa-yb-xc+yd) * onebyfftLen */
+      a6 = (Xaminusc + Ybminusd);
+      /* yd' = (ya-xb-yc+xd) * onebyfftLen */
+      a7 = (Yaminusc - Xbminusd);
+
+      p0 = a0 * onebyfftLen;
+      p1 = a1 * onebyfftLen;
+      p2 = a2 * onebyfftLen;
+      p3 = a3 * onebyfftLen;
+      p4 = a4 * onebyfftLen;
+      p5 = a5 * onebyfftLen;
+      p6 = a6 * onebyfftLen;
+      p7 = a7 * onebyfftLen;
+
+      /* xa' = (xa+xb+xc+xd) * onebyfftLen */
+      ptr1[0] = p0;
+      /* ya' = (ya+yb+yc+yd) * onebyfftLen */
+      ptr1[1] = p1;
+      /* xc' = (xa-xb+xc-xd) * onebyfftLen */
+      ptr1[2] = p2;
+      /* yc' = (ya-yb+yc-yd) * onebyfftLen  */
+      ptr1[3] = p3;
+      /* xb' = (xa-yb-xc+yd) * onebyfftLen */
+      ptr1[4] = p4;
+      /* yb' = (ya+xb-yc-xd) * onebyfftLen */
+      ptr1[5] = p5;
+      /* xd' = (xa-yb-xc+yd) * onebyfftLen */
+      ptr1[6] = p6;
+      /* yd' = (ya-xb-yc+xd) * onebyfftLen */
+      ptr1[7] = p7;
+
+      /* increment source pointer by 8 for next calculations */
+      ptr1 = ptr1 + 8U;
+
+   } while (--j);
+
+#else
+
+        float32_t t1, t2, r1, r2, s1, s2;
+
+   /*  Initializations for the first stage */
+   n2 = fftLen;
+   n1 = n2;
+
+   /*  Calculation of first stage */
+   for (k = fftLen; k > 4U; k >>= 2U)
+   {
+      /*  Initializations for the first stage */
+      n1 = n2;
+      n2 >>= 2U;
+      ia1 = 0U;
+
+      /*  Calculation of first stage */
+      j = 0;
+      do
+      {
+         /*  index calculation for the coefficients */
+         ia2 = ia1 + ia1;
+         ia3 = ia2 + ia1;
+         co1 = pCoef[ia1 * 2U];
+         si1 = pCoef[(ia1 * 2U) + 1U];
+         co2 = pCoef[ia2 * 2U];
+         si2 = pCoef[(ia2 * 2U) + 1U];
+         co3 = pCoef[ia3 * 2U];
+         si3 = pCoef[(ia3 * 2U) + 1U];
+
+         /*  Twiddle coefficients index modifier */
+         ia1 = ia1 + twidCoefModifier;
+
+         i0 = j;
+         do
+         {
+            /*  index calculation for the input as, */
+            /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+            i1 = i0 + n2;
+            i2 = i1 + n2;
+            i3 = i2 + n2;
+
+            /* xa + xc */
+            r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)];
+
+            /* xa - xc */
+            r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)];
+
+            /* ya + yc */
+            s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
+
+            /* ya - yc */
+            s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
+
+            /* xb + xd */
+            t1 = pSrc[2U * i1] + pSrc[2U * i3];
+
+            /* xa' = xa + xb + xc + xd */
+            pSrc[2U * i0] = r1 + t1;
+
+            /* xa + xc -(xb + xd) */
+            r1 = r1 - t1;
+
+            /* yb + yd */
+            t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
+
+            /* ya' = ya + yb + yc + yd */
+            pSrc[(2U * i0) + 1U] = s1 + t2;
+
+            /* (ya + yc) - (yb + yd) */
+            s1 = s1 - t2;
+
+            /* (yb - yd) */
+            t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
+
+            /* (xb - xd) */
+            t2 = pSrc[2U * i1] - pSrc[2U * i3];
+
+            /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+            pSrc[2U * i1] = (r1 * co2) - (s1 * si2);
+
+            /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+            pSrc[(2U * i1) + 1U] = (s1 * co2) + (r1 * si2);
+
+            /* (xa - xc) - (yb - yd) */
+            r1 = r2 - t1;
+
+            /* (xa - xc) + (yb - yd) */
+            r2 = r2 + t1;
+
+            /* (ya - yc) +  (xb - xd) */
+            s1 = s2 + t2;
+
+            /* (ya - yc) -  (xb - xd) */
+            s2 = s2 - t2;
+
+            /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+            pSrc[2U * i2] = (r1 * co1) - (s1 * si1);
+
+            /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+            pSrc[(2U * i2) + 1U] = (s1 * co1) + (r1 * si1);
+
+            /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+            pSrc[2U * i3] = (r2 * co3) - (s2 * si3);
+
+            /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+            pSrc[(2U * i3) + 1U] = (s2 * co3) + (r2 * si3);
+
+            i0 += n1;
+         } while ( i0 < fftLen);
+         j++;
+      } while (j <= (n2 - 1U));
+      twidCoefModifier <<= 2U;
+   }
+   /*  Initializations of last stage */
+   n1 = n2;
+   n2 >>= 2U;
+
+   /*  Calculations of last stage */
+   for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1)
+   {
+      /*  index calculation for the input as, */
+      /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */
+      i1 = i0 + n2;
+      i2 = i1 + n2;
+      i3 = i2 + n2;
+
+      /*  Butterfly implementation */
+      /* xa + xc */
+      r1 = pSrc[2U * i0] + pSrc[2U * i2];
+
+      /* xa - xc */
+      r2 = pSrc[2U * i0] - pSrc[2U * i2];
+
+      /* ya + yc */
+      s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
+
+      /* ya - yc */
+      s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
+
+      /* xc + xd */
+      t1 = pSrc[2U * i1] + pSrc[2U * i3];
+
+      /* xa' = xa + xb + xc + xd */
+      pSrc[2U * i0] = (r1 + t1) * onebyfftLen;
+
+      /* (xa + xb) - (xc + xd) */
+      r1 = r1 - t1;
+
+      /* yb + yd */
+      t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
+
+      /* ya' = ya + yb + yc + yd */
+      pSrc[(2U * i0) + 1U] = (s1 + t2) * onebyfftLen;
+
+      /* (ya + yc) - (yb + yd) */
+      s1 = s1 - t2;
+
+      /* (yb-yd) */
+      t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
+
+      /* (xb-xd) */
+      t2 = pSrc[2U * i1] - pSrc[2U * i3];
+
+      /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+      pSrc[2U * i1] = r1 * onebyfftLen;
+
+      /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+      pSrc[(2U * i1) + 1U] = s1 * onebyfftLen;
+
+      /* (xa - xc) - (yb-yd) */
+      r1 = r2 - t1;
+
+      /* (xa - xc) + (yb-yd) */
+      r2 = r2 + t1;
+
+      /* (ya - yc) + (xb-xd) */
+      s1 = s2 + t2;
+
+      /* (ya - yc) - (xb-xd) */
+      s2 = s2 - t2;
+
+      /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+      pSrc[2U * i2] = r1 * onebyfftLen;
+
+      /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+      pSrc[(2U * i2) + 1U] = s1 * onebyfftLen;
+
+      /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+      pSrc[2U * i3] = r2 * onebyfftLen;
+
+      /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+      pSrc[(2U * i3) + 1U] = s2 * onebyfftLen;
+   }
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+}
+
+
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c
new file mode 100644
index 0000000..539206d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c
@@ -0,0 +1,156 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix4_init_f32.c
+ * Description:  Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point CFFT/CIFFT.
+  @deprecated    Do not use this function. It has been superceded by \ref arm_cfft_f32 and will be removed in the future.
+  @param[in,out] S              points to an instance of the floating-point CFFT/CIFFT structure
+  @param[in]     fftLen         length of the FFT
+  @param[in]     ifftFlag       flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>fftLen</code> is not a supported length
+
+  @par           Details
+                   The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.
+                   Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated
+  @par
+                   The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
+                   Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+  @par
+                   The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
+  @par
+                   This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+ */
+
+arm_status arm_cfft_radix4_init_f32(
+  arm_cfft_radix4_instance_f32 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /*  Initialise the FFT length */
+  S->fftLen = fftLen;
+
+  /*  Initialise the Twiddle coefficient pointer */
+  S->pTwiddle = (float32_t *) twiddleCoef;
+
+  /*  Initialise the Flag for selection of CFFT or CIFFT */
+  S->ifftFlag = ifftFlag;
+
+  /*  Initialise the Flag for calculation Bit reversal or not */
+  S->bitReverseFlag = bitReverseFlag;
+
+  /*  Initializations of structure parameters depending on the FFT length */
+  switch (S->fftLen)
+  {
+
+  case 4096U:
+    /*  Initializations of structure parameters for 4096 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 1U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 1U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) armBitRevTable;
+    /*  Initialise the 1/fftLen Value */
+    S->onebyfftLen = 0.000244140625;
+    break;
+
+  case 1024U:
+    /*  Initializations of structure parameters for 1024 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 4U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 4U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+    /*  Initialise the 1/fftLen Value */
+    S->onebyfftLen = 0.0009765625f;
+    break;
+
+
+  case 256U:
+    /*  Initializations of structure parameters for 256 point FFT */
+    S->twidCoefModifier = 16U;
+    S->bitRevFactor = 16U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+    S->onebyfftLen = 0.00390625f;
+    break;
+
+  case 64U:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 64U;
+    S->bitRevFactor = 64U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+    S->onebyfftLen = 0.015625f;
+    break;
+
+  case 16U:
+    /*  Initializations of structure parameters for 16 point FFT */
+    S->twidCoefModifier = 256U;
+    S->bitRevFactor = 256U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+    S->onebyfftLen = 0.0625f;
+    break;
+
+
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**
+  @} end of ComplexFFT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c
new file mode 100644
index 0000000..1d83009
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c
@@ -0,0 +1,145 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix4_init_q15.c
+ * Description:  Radix-4 Decimation in Frequency Q15 FFT & IFFT initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupTransforms
+ */
+
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+
+/**
+  @brief Initialization function for the Q15 CFFT/CIFFT.
+  @deprecated    Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed in the future.
+  @param[in,out] S              points to an instance of the Q15 CFFT/CIFFT structure
+  @param[in]     fftLen         length of the FFT
+  @param[in]     ifftFlag       flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>fftLen</code> is not a supported length
+
+  @par           Details
+                   The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.
+                   Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated
+  @par
+                   The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
+                   Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+  @par
+                   The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
+  @par
+                   This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+ */
+
+arm_status arm_cfft_radix4_init_q15(
+  arm_cfft_radix4_instance_q15 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+  /*  Initialise the FFT length */
+  S->fftLen = fftLen;
+  /*  Initialise the Twiddle coefficient pointer */
+  S->pTwiddle = (q15_t *) twiddleCoef_4096_q15;
+  /*  Initialise the Flag for selection of CFFT or CIFFT */
+  S->ifftFlag = ifftFlag;
+  /*  Initialise the Flag for calculation Bit reversal or not */
+  S->bitReverseFlag = bitReverseFlag;
+
+  /*  Initializations of structure parameters depending on the FFT length */
+  switch (S->fftLen)
+  {
+  case 4096U:
+    /*  Initializations of structure parameters for 4096 point FFT */
+
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 1U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 1U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) armBitRevTable;
+
+    break;
+
+  case 1024U:
+    /*  Initializations of structure parameters for 1024 point FFT */
+    S->twidCoefModifier = 4U;
+    S->bitRevFactor = 4U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+
+    break;
+
+  case 256U:
+    /*  Initializations of structure parameters for 256 point FFT */
+    S->twidCoefModifier = 16U;
+    S->bitRevFactor = 16U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+
+    break;
+
+  case 64U:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 64U;
+    S->bitRevFactor = 64U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+
+    break;
+
+  case 16U:
+    /*  Initializations of structure parameters for 16 point FFT */
+    S->twidCoefModifier = 256U;
+    S->bitRevFactor = 256U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+
+    break;
+
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**
+  @} end of ComplexFFT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c
new file mode 100644
index 0000000..964b4c8
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c
@@ -0,0 +1,141 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix4_init_q31.c
+ * Description:  Radix-4 Decimation in Frequency Q31 FFT & IFFT initialization function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+
+  @brief         Initialization function for the Q31 CFFT/CIFFT.
+  @deprecated    Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed in the future.
+  @param[in,out] S              points to an instance of the Q31 CFFT/CIFFT structure.
+  @param[in]     fftLen         length of the FFT.
+  @param[in]     ifftFlag       flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>fftLen</code> is not a supported length
+
+  @par           Details
+                   The parameter <code>ifftFlag</code> controls whether a forward or inverse transform is computed.
+                   Set(=1) ifftFlag for calculation of CIFFT otherwise  CFFT is calculated
+  @par
+                   The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
+                   Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+  @par
+                   The parameter <code>fftLen</code> Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024.
+  @par
+                   This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+*/
+
+arm_status arm_cfft_radix4_init_q31(
+  arm_cfft_radix4_instance_q31 * S,
+  uint16_t fftLen,
+  uint8_t ifftFlag,
+  uint8_t bitReverseFlag)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+  /*  Initialise the FFT length */
+  S->fftLen = fftLen;
+  /*  Initialise the Twiddle coefficient pointer */
+  S->pTwiddle = (q31_t *) twiddleCoef_4096_q31;
+  /*  Initialise the Flag for selection of CFFT or CIFFT */
+  S->ifftFlag = ifftFlag;
+  /*  Initialise the Flag for calculation Bit reversal or not */
+  S->bitReverseFlag = bitReverseFlag;
+
+  /*  Initializations of Instance structure depending on the FFT length */
+  switch (S->fftLen)
+  {
+    /*  Initializations of structure parameters for 4096 point FFT */
+  case 4096U:
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 1U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 1U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) armBitRevTable;
+    break;
+
+    /*  Initializations of structure parameters for 1024 point FFT */
+  case 1024U:
+    /*  Initialise the twiddle coef modifier value */
+    S->twidCoefModifier = 4U;
+    /*  Initialise the bit reversal table modifier */
+    S->bitRevFactor = 4U;
+    /*  Initialise the bit reversal table pointer */
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[3];
+    break;
+
+  case 256U:
+    /*  Initializations of structure parameters for 256 point FFT */
+    S->twidCoefModifier = 16U;
+    S->bitRevFactor = 16U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[15];
+    break;
+
+  case 64U:
+    /*  Initializations of structure parameters for 64 point FFT */
+    S->twidCoefModifier = 64U;
+    S->bitRevFactor = 64U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[63];
+    break;
+
+  case 16U:
+    /*  Initializations of structure parameters for 16 point FFT */
+    S->twidCoefModifier = 256U;
+    S->bitRevFactor = 256U;
+    S->pBitRevTable = (uint16_t *) & armBitRevTable[255];
+    break;
+
+  default:
+    /*  Reporting argument error if fftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  return (status);
+}
+
+/**
+  @} end of ComplexFFT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c
new file mode 100644
index 0000000..825a16b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c
@@ -0,0 +1,1809 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix4_q15.c
+ * Description:  This file has function definition of Radix-4 FFT & IFFT function and
+ *               In-place bit reversal using bit reversal table
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+
+void arm_radix4_butterfly_q15(
+        q15_t * pSrc16,
+        uint32_t fftLen,
+  const q15_t * pCoef16,
+        uint32_t twidCoefModifier);
+
+void arm_radix4_butterfly_inverse_q15(
+        q15_t * pSrc16,
+        uint32_t fftLen,
+  const q15_t * pCoef16,
+        uint32_t twidCoefModifier);
+
+void arm_bitreversal_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+        uint16_t bitRevFactor,
+  const uint16_t * pBitRevTab);
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+
+/**
+  @brief               Processing function for the Q15 CFFT/CIFFT.
+  @deprecated          Do not use this function.  It has been superseded by \ref arm_cfft_q15 and will be removed in the future.
+  @param[in]     S     points to an instance of the Q15 CFFT/CIFFT structure.
+  @param[in,out] pSrc  points to the complex data buffer. Processing occurs in-place.
+  @return        none
+ 
+  @par Input and output formats:
+                 Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
+                 Hence the output format is different for different FFT sizes.
+                 The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT:
+  @par
+                 \image html CFFTQ15.gif "Input and Output Formats for Q15 CFFT"
+                 \image html CIFFTQ15.gif "Input and Output Formats for Q15 CIFFT"
+ */
+
+void arm_cfft_radix4_q15(
+  const arm_cfft_radix4_instance_q15 * S,
+        q15_t * pSrc)
+{
+  if (S->ifftFlag == 1U)
+  {
+    /*  Complex IFFT radix-4  */
+    arm_radix4_butterfly_inverse_q15(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+  }
+  else
+  {
+    /*  Complex FFT radix-4  */
+    arm_radix4_butterfly_q15(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+  }
+
+  if (S->bitReverseFlag == 1U)
+  {
+    /*  Bit Reversal */
+    arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+  }
+
+}
+
+/**
+  @} end of ComplexFFT group
+ */
+
+/*
+ * Radix-4 FFT algorithm used is :
+ *
+ * Input real and imaginary data:
+ * x(n) = xa + j * ya
+ * x(n+N/4 ) = xb + j * yb
+ * x(n+N/2 ) = xc + j * yc
+ * x(n+3N 4) = xd + j * yd
+ *
+ *
+ * Output real and imaginary data:
+ * x(4r) = xa'+ j * ya'
+ * x(4r+1) = xb'+ j * yb'
+ * x(4r+2) = xc'+ j * yc'
+ * x(4r+3) = xd'+ j * yd'
+ *
+ *
+ * Twiddle factors for radix-4 FFT:
+ * Wn = co1 + j * (- si1)
+ * W2n = co2 + j * (- si2)
+ * W3n = co3 + j * (- si3)
+ 
+ * The real and imaginary output values for the radix-4 butterfly are
+ * xa' = xa + xb + xc + xd
+ * ya' = ya + yb + yc + yd
+ * xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)
+ * yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)
+ * xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)
+ * yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)
+ * xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)
+ * yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)
+ *
+ */
+
+/**
+  @brief         Core function for the Q15 CFFT butterfly process.
+  @param[in,out] pSrc16          points to the in-place buffer of Q15 data type
+  @param[in]     fftLen           length of the FFT
+  @param[in]     pCoef16         points to twiddle coefficient buffer
+  @param[in]     twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+  @return        none
+ */
+
+void arm_radix4_butterfly_q15(
+        q15_t * pSrc16,
+        uint32_t fftLen,
+  const q15_t * pCoef16,
+        uint32_t twidCoefModifier)
+{
+
+#if defined (ARM_MATH_DSP)
+
+        q31_t R, S, T, U;
+        q31_t C1, C2, C3, out1, out2;
+        uint32_t n1, n2, ic, i0, j, k;
+
+        q15_t *ptr1;
+        q15_t *pSi0;
+        q15_t *pSi1;
+        q15_t *pSi2;
+        q15_t *pSi3;
+
+        q31_t xaya, xbyb, xcyc, xdyd;
+
+  /* Total process is divided into three stages */
+
+  /* process first stage, middle stages, & last stage */
+
+  /*  Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+
+  /* n2 = fftLen/4 */
+  n2 >>= 2U;
+
+  /* Index for twiddle coefficient */
+  ic = 0U;
+
+  /* Index for input read and output write */
+  j = n2;
+
+  pSi0 = pSrc16;
+  pSi1 = pSi0 + 2 * n2;
+  pSi2 = pSi1 + 2 * n2;
+  pSi3 = pSi2 + 2 * n2;
+
+  /* Input is in 1.15(q15) format */
+
+  /*  start of first stage process */
+  do
+  {
+    /*  Butterfly implementation */
+
+    /* Reading i0, i0+fftLen/2 inputs */
+    /* Read ya (real), xa(imag) input */
+    T = read_q15x2 (pSi0);
+    T = __SHADD16(T, 0); /* this is just a SIMD arithmetic shift right by 1 */
+    T = __SHADD16(T, 0); /* it turns out doing this twice is 2 cycles, the alternative takes 3 cycles */
+/*
+    in = ((int16_t) (T & 0xFFFF)) >> 2;       // alternative code that takes 3 cycles
+     T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF);
+*/
+
+    /* Read yc (real), xc(imag) input */
+    S = read_q15x2 (pSi2);
+    S = __SHADD16(S, 0);
+    S = __SHADD16(S, 0);
+
+    /* R = packed((ya + yc), (xa + xc) ) */
+    R = __QADD16(T, S);
+
+    /* S = packed((ya - yc), (xa - xc) ) */
+    S = __QSUB16(T, S);
+
+    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+    /* Read yb (real), xb(imag) input */
+    T = read_q15x2 (pSi1);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
+
+    /* Read yd (real), xd(imag) input */
+    U = read_q15x2 (pSi3);
+    U = __SHADD16(U, 0);
+    U = __SHADD16(U, 0);
+
+    /* T = packed((yb + yd), (xb + xd) ) */
+    T = __QADD16(T, U);
+
+    /*  writing the butterfly processed i0 sample */
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    write_q15x2_ia (&pSi0, __SHADD16(R, T));
+
+    /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
+    R = __QSUB16(R, T);
+
+    /* co2 & si2 are read from SIMD Coefficient pointer */
+    C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+    out1 = __SMUAD(C2, R) >> 16U;
+    /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+    out2 = __SMUSDX(C2, R);
+#else
+    /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+    out1 = __SMUSDX(R, C2) >> 16U;
+    /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+    out2 = __SMUAD(C2, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /*  Reading i0+fftLen/4 */
+    /* T = packed(yb, xb) */
+    T = read_q15x2 (pSi1);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
+
+    /* writing the butterfly processed i0 + fftLen/4 sample */
+    /* writing output(xc', yc') in little endian format */
+    write_q15x2_ia (&pSi1, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+    /*  Butterfly calculations */
+    /* U = packed(yd, xd) */
+    U = read_q15x2 (pSi3);
+    U = __SHADD16(U, 0);
+    U = __SHADD16(U, 0);
+
+    /* T = packed(yb-yd, xb-xd) */
+    T = __QSUB16(T, U);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+    R = __QASX(S, T);
+    /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+    S = __QSAX(S, T);
+#else
+    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+    R = __QSAX(S, T);
+    /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+    S = __QASX(S, T);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* co1 & si1 are read from SIMD Coefficient pointer */
+    C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic));
+    /*  Butterfly process for the i0+fftLen/2 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+    out1 = __SMUAD(C1, S) >> 16U;
+    /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+    out2 = __SMUSDX(C1, S);
+#else
+    /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+    out1 = __SMUSDX(S, C1) >> 16U;
+    /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+    out2 = __SMUAD(C1, S);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* writing output(xb', yb') in little endian format */
+    write_q15x2_ia (&pSi2, ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF));
+
+    /* co3 & si3 are read from SIMD Coefficient pointer */
+    C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic));
+    /*  Butterfly process for the i0+3fftLen/4 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+    out1 = __SMUAD(C3, R) >> 16U;
+    /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+    out2 = __SMUSDX(C3, R);
+#else
+    /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+    out1 = __SMUSDX(R, C3) >> 16U;
+    /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+    out2 = __SMUAD(C3, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* writing output(xd', yd') in little endian format */
+    write_q15x2_ia (&pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+    /*  Twiddle coefficients index modifier */
+    ic = ic + twidCoefModifier;
+
+  } while (--j);
+  /* data is in 4.11(q11) format */
+
+  /* end of first stage process */
+
+
+  /* start of middle stage process */
+
+  /*  Twiddle coefficients index modifier */
+  twidCoefModifier <<= 2U;
+
+  /*  Calculation of Middle stage */
+  for (k = fftLen / 4U; k > 4U; k >>= 2U)
+  {
+    /*  Initializations for the middle stage */
+    n1 = n2;
+    n2 >>= 2U;
+    ic = 0U;
+
+    for (j = 0U; j <= (n2 - 1U); j++)
+    {
+      /*  index calculation for the coefficients */
+      C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic));
+      C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic));
+      C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic));
+
+      /*  Twiddle coefficients index modifier */
+      ic = ic + twidCoefModifier;
+
+      pSi0 = pSrc16 + 2 * j;
+      pSi1 = pSi0 + 2 * n2;
+      pSi2 = pSi1 + 2 * n2;
+      pSi3 = pSi2 + 2 * n2;
+
+      /*  Butterfly implementation */
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  Reading i0, i0+fftLen/2 inputs */
+        /* Read ya (real), xa(imag) input */
+        T = read_q15x2 (pSi0);
+
+        /* Read yc (real), xc(imag) input */
+        S = read_q15x2 (pSi2);
+
+        /* R = packed( (ya + yc), (xa + xc)) */
+        R = __QADD16(T, S);
+
+        /* S = packed((ya - yc), (xa - xc)) */
+        S = __QSUB16(T, S);
+
+        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+        /* Read yb (real), xb(imag) input */
+        T = read_q15x2 (pSi1);
+
+        /* Read yd (real), xd(imag) input */
+        U = read_q15x2 (pSi3);
+
+        /* T = packed( (yb + yd), (xb + xd)) */
+        T = __QADD16(T, U);
+
+        /*  writing the butterfly processed i0 sample */
+
+        /* xa' = xa + xb + xc + xd */
+        /* ya' = ya + yb + yc + yd */
+        out1 = __SHADD16(R, T);
+        out1 = __SHADD16(out1, 0);
+        write_q15x2 (pSi0, out1);
+        pSi0 += 2 * n1;
+
+        /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
+        R = __SHSUB16(R, T);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+        out1 = __SMUAD(C2, R) >> 16U;
+
+        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        out2 = __SMUSDX(C2, R);
+#else
+        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        out1 = __SMUSDX(R, C2) >> 16U;
+
+        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+        out2 = __SMUAD(C2, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /*  Reading i0+3fftLen/4 */
+        /* Read yb (real), xb(imag) input */
+        T = read_q15x2 (pSi1);
+
+        /*  writing the butterfly processed i0 + fftLen/4 sample */
+        /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+        /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        write_q15x2 (pSi1, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+        pSi1 += 2 * n1;
+
+        /*  Butterfly calculations */
+
+        /* Read yd (real), xd(imag) input */
+        U = read_q15x2 (pSi3);
+
+        /* T = packed(yb-yd, xb-xd) */
+        T = __QSUB16(T, U);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+        R = __SHASX(S, T);
+
+        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+        S = __SHSAX(S, T);
+
+
+        /*  Butterfly process for the i0+fftLen/2 sample */
+        out1 = __SMUAD(C1, S) >> 16U;
+        out2 = __SMUSDX(C1, S);
+#else
+        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+        R = __SHSAX(S, T);
+
+        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+        S = __SHASX(S, T);
+
+
+        /*  Butterfly process for the i0+fftLen/2 sample */
+        out1 = __SMUSDX(S, C1) >> 16U;
+        out2 = __SMUAD(C1, S);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+        /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+        write_q15x2 (pSi2, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+        pSi2 += 2 * n1;
+
+        /*  Butterfly process for the i0+3fftLen/4 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        out1 = __SMUAD(C3, R) >> 16U;
+        out2 = __SMUSDX(C3, R);
+#else
+        out1 = __SMUSDX(R, C3) >> 16U;
+        out2 = __SMUAD(C3, R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+        /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+        write_q15x2 (pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+        pSi3 += 2 * n1;
+      }
+    }
+    /*  Twiddle coefficients index modifier */
+    twidCoefModifier <<= 2U;
+  }
+  /* end of middle stage process */
+
+
+  /* data is in 10.6(q6) format for the 1024 point */
+  /* data is in 8.8(q8) format for the 256 point */
+  /* data is in 6.10(q10) format for the 64 point */
+  /* data is in 4.12(q12) format for the 16 point */
+
+  /*  Initializations for the last stage */
+  j = fftLen >> 2;
+
+  ptr1 = &pSrc16[0];
+
+  /* start of last stage process */
+
+  /*  Butterfly implementation */
+  do
+  {
+    /* Read xa (real), ya(imag) input */
+    xaya = read_q15x2_ia ((q15_t **) &ptr1);
+
+    /* Read xb (real), yb(imag) input */
+    xbyb = read_q15x2_ia ((q15_t **) &ptr1);
+
+    /* Read xc (real), yc(imag) input */
+    xcyc = read_q15x2_ia ((q15_t **) &ptr1);
+
+    /* Read xd (real), yd(imag) input */
+    xdyd = read_q15x2_ia ((q15_t **) &ptr1);
+
+    /* R = packed((ya + yc), (xa + xc)) */
+    R = __QADD16(xaya, xcyc);
+
+    /* T = packed((yb + yd), (xb + xd)) */
+    T = __QADD16(xbyb, xdyd);
+
+    /* pointer updation for writing */
+    ptr1 = ptr1 - 8U;
+
+
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    write_q15x2_ia (&ptr1, __SHADD16(R, T));
+
+    /* T = packed((yb + yd), (xb + xd)) */
+    T = __QADD16(xbyb, xdyd);
+
+    /* xc' = (xa-xb+xc-xd) */
+    /* yc' = (ya-yb+yc-yd) */
+    write_q15x2_ia (&ptr1, __SHSUB16(R, T));
+
+    /* S = packed((ya - yc), (xa - xc)) */
+    S = __QSUB16(xaya, xcyc);
+
+    /* Read yd (real), xd(imag) input */
+    /* T = packed( (yb - yd), (xb - xd))  */
+    U = __QSUB16(xbyb, xdyd);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    /* xb' = (xa+yb-xc-yd) */
+    /* yb' = (ya-xb-yc+xd) */
+    write_q15x2_ia (&ptr1, __SHSAX(S, U));
+
+    /* xd' = (xa-yb-xc+yd) */
+    /* yd' = (ya+xb-yc-xd) */
+    write_q15x2_ia (&ptr1, __SHASX(S, U));
+#else
+    /* xb' = (xa+yb-xc-yd) */
+    /* yb' = (ya-xb-yc+xd) */
+    write_q15x2_ia (&ptr1, __SHASX(S, U));
+
+    /* xd' = (xa-yb-xc+yd) */
+    /* yd' = (ya+xb-yc-xd) */
+    write_q15x2_ia (&ptr1, __SHSAX(S, U));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+  } while (--j);
+
+  /* end of last stage process */
+
+  /* output is in 11.5(q5) format for the 1024 point */
+  /* output is in 9.7(q7) format for the 256 point   */
+  /* output is in 7.9(q9) format for the 64 point  */
+  /* output is in 5.11(q11) format for the 16 point  */
+
+
+#else /* #if defined (ARM_MATH_DSP) */
+
+        q15_t R0, R1, S0, S1, T0, T1, U0, U1;
+        q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2;
+        uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
+
+  /* Total process is divided into three stages */
+
+  /* process first stage, middle stages, & last stage */
+
+  /*  Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+
+  /* n2 = fftLen/4 */
+  n2 >>= 2U;
+
+  /* Index for twiddle coefficient */
+  ic = 0U;
+
+  /* Index for input read and output write */
+  i0 = 0U;
+  j = n2;
+
+  /* Input is in 1.15(q15) format */
+
+  /*  start of first stage process */
+  do
+  {
+    /*  Butterfly implementation */
+
+    /*  index calculation for the input as, */
+    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+    i1 = i0 + n2;
+    i2 = i1 + n2;
+    i3 = i2 + n2;
+
+    /*  Reading i0, i0+fftLen/2 inputs */
+
+    /* input is down scale by 4 to avoid overflow */
+    /* Read ya (real), xa(imag) input */
+    T0 = pSrc16[i0 * 2U] >> 2U;
+    T1 = pSrc16[(i0 * 2U) + 1U] >> 2U;
+
+    /* input is down scale by 4 to avoid overflow */
+    /* Read yc (real), xc(imag) input */
+    S0 = pSrc16[i2 * 2U] >> 2U;
+    S1 = pSrc16[(i2 * 2U) + 1U] >> 2U;
+
+    /* R0 = (ya + yc) */
+    R0 = __SSAT(T0 + S0, 16U);
+    /* R1 = (xa + xc) */
+    R1 = __SSAT(T1 + S1, 16U);
+
+    /* S0 = (ya - yc) */
+    S0 = __SSAT(T0 - S0, 16);
+    /* S1 = (xa - xc) */
+    S1 = __SSAT(T1 - S1, 16);
+
+    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+    /* input is down scale by 4 to avoid overflow */
+    /* Read yb (real), xb(imag) input */
+    T0 = pSrc16[i1 * 2U] >> 2U;
+    T1 = pSrc16[(i1 * 2U) + 1U] >> 2U;
+
+    /* input is down scale by 4 to avoid overflow */
+    /* Read yd (real), xd(imag) input */
+    U0 = pSrc16[i3 * 2U] >> 2U;
+    U1 = pSrc16[(i3 * 2U) + 1] >> 2U;
+
+    /* T0 = (yb + yd) */
+    T0 = __SSAT(T0 + U0, 16U);
+    /* T1 = (xb + xd) */
+    T1 = __SSAT(T1 + U1, 16U);
+
+    /*  writing the butterfly processed i0 sample */
+    /* ya' = ya + yb + yc + yd */
+    /* xa' = xa + xb + xc + xd */
+    pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U);
+    pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U);
+
+    /* R0 = (ya + yc) - (yb + yd) */
+    /* R1 = (xa + xc) - (xb + xd) */
+    R0 = __SSAT(R0 - T0, 16U);
+    R1 = __SSAT(R1 - T1, 16U);
+
+    /* co2 & si2 are read from Coefficient pointer */
+    Co2 = pCoef16[2U * ic * 2U];
+    Si2 = pCoef16[(2U * ic * 2U) + 1];
+
+    /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+    out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16U);
+    /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+    out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16U);
+
+    /*  Reading i0+fftLen/4 */
+    /* input is down scale by 4 to avoid overflow */
+    /* T0 = yb, T1 =  xb */
+    T0 = pSrc16[i1 * 2U] >> 2;
+    T1 = pSrc16[(i1 * 2U) + 1] >> 2;
+
+    /* writing the butterfly processed i0 + fftLen/4 sample */
+    /* writing output(xc', yc') in little endian format */
+    pSrc16[i1 * 2U] = out1;
+    pSrc16[(i1 * 2U) + 1] = out2;
+
+    /*  Butterfly calculations */
+    /* input is down scale by 4 to avoid overflow */
+    /* U0 = yd, U1 = xd */
+    U0 = pSrc16[i3 * 2U] >> 2;
+    U1 = pSrc16[(i3 * 2U) + 1] >> 2;
+    /* T0 = yb-yd */
+    T0 = __SSAT(T0 - U0, 16);
+    /* T1 = xb-xd */
+    T1 = __SSAT(T1 - U1, 16);
+
+    /* R1 = (ya-yc) + (xb- xd),  R0 = (xa-xc) - (yb-yd)) */
+    R0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16);
+    R1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16);
+
+    /* S1 = (ya-yc) - (xb- xd), S0 = (xa-xc) + (yb-yd)) */
+    S0 = (q15_t) __SSAT(((q31_t) S0 + T1), 16U);
+    S1 = (q15_t) __SSAT(((q31_t) S1 - T0), 16U);
+
+    /* co1 & si1 are read from Coefficient pointer */
+    Co1 = pCoef16[ic * 2U];
+    Si1 = pCoef16[(ic * 2U) + 1];
+    /*  Butterfly process for the i0+fftLen/2 sample */
+    /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+    out1 = (q15_t) ((Si1 * S1 + Co1 * S0) >> 16);
+    /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+    out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16);
+
+    /* writing output(xb', yb') in little endian format */
+    pSrc16[i2 * 2U] = out1;
+    pSrc16[(i2 * 2U) + 1] = out2;
+
+    /* Co3 & si3 are read from Coefficient pointer */
+    Co3 = pCoef16[3U * (ic * 2U)];
+    Si3 = pCoef16[(3U * (ic * 2U)) + 1];
+    /*  Butterfly process for the i0+3fftLen/4 sample */
+    /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
+    out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16U);
+    /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
+    out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16U);
+    /* writing output(xd', yd') in little endian format */
+    pSrc16[i3 * 2U] = out1;
+    pSrc16[(i3 * 2U) + 1] = out2;
+
+    /*  Twiddle coefficients index modifier */
+    ic = ic + twidCoefModifier;
+
+    /*  Updating input index */
+    i0 = i0 + 1U;
+
+  } while (--j);
+  /* data is in 4.11(q11) format */
+
+  /* end of first stage process */
+
+
+  /* start of middle stage process */
+
+  /*  Twiddle coefficients index modifier */
+  twidCoefModifier <<= 2U;
+
+  /*  Calculation of Middle stage */
+  for (k = fftLen / 4U; k > 4U; k >>= 2U)
+  {
+    /*  Initializations for the middle stage */
+    n1 = n2;
+    n2 >>= 2U;
+    ic = 0U;
+
+    for (j = 0U; j <= (n2 - 1U); j++)
+    {
+      /*  index calculation for the coefficients */
+      Co1 = pCoef16[ic * 2U];
+      Si1 = pCoef16[(ic * 2U) + 1U];
+      Co2 = pCoef16[2U * (ic * 2U)];
+      Si2 = pCoef16[(2U * (ic * 2U)) + 1U];
+      Co3 = pCoef16[3U * (ic * 2U)];
+      Si3 = pCoef16[(3U * (ic * 2U)) + 1U];
+
+      /*  Twiddle coefficients index modifier */
+      ic = ic + twidCoefModifier;
+
+      /*  Butterfly implementation */
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  index calculation for the input as, */
+        /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+        i1 = i0 + n2;
+        i2 = i1 + n2;
+        i3 = i2 + n2;
+
+        /*  Reading i0, i0+fftLen/2 inputs */
+        /* Read ya (real), xa(imag) input */
+        T0 = pSrc16[i0 * 2U];
+        T1 = pSrc16[(i0 * 2U) + 1U];
+
+        /* Read yc (real), xc(imag) input */
+        S0 = pSrc16[i2 * 2U];
+        S1 = pSrc16[(i2 * 2U) + 1U];
+
+        /* R0 = (ya + yc), R1 = (xa + xc) */
+        R0 = __SSAT(T0 + S0, 16);
+        R1 = __SSAT(T1 + S1, 16);
+
+        /* S0 = (ya - yc), S1 =(xa - xc) */
+        S0 = __SSAT(T0 - S0, 16);
+        S1 = __SSAT(T1 - S1, 16);
+
+        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+        /* Read yb (real), xb(imag) input */
+        T0 = pSrc16[i1 * 2U];
+        T1 = pSrc16[(i1 * 2U) + 1U];
+
+        /* Read yd (real), xd(imag) input */
+        U0 = pSrc16[i3 * 2U];
+        U1 = pSrc16[(i3 * 2U) + 1U];
+
+
+        /* T0 = (yb + yd), T1 = (xb + xd) */
+        T0 = __SSAT(T0 + U0, 16);
+        T1 = __SSAT(T1 + U1, 16);
+
+        /*  writing the butterfly processed i0 sample */
+
+        /* xa' = xa + xb + xc + xd */
+        /* ya' = ya + yb + yc + yd */
+        out1 = ((R0 >> 1U) + (T0 >> 1U)) >> 1U;
+        out2 = ((R1 >> 1U) + (T1 >> 1U)) >> 1U;
+
+        pSrc16[i0 * 2U] = out1;
+        pSrc16[(2U * i0) + 1U] = out2;
+
+        /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
+        R0 = (R0 >> 1U) - (T0 >> 1U);
+        R1 = (R1 >> 1U) - (T1 >> 1U);
+
+        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+        out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16U);
+
+        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16U);
+
+        /*  Reading i0+3fftLen/4 */
+        /* Read yb (real), xb(imag) input */
+        T0 = pSrc16[i1 * 2U];
+        T1 = pSrc16[(i1 * 2U) + 1U];
+
+        /*  writing the butterfly processed i0 + fftLen/4 sample */
+        /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+        /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        pSrc16[i1 * 2U] = out1;
+        pSrc16[(i1 * 2U) + 1U] = out2;
+
+        /*  Butterfly calculations */
+
+        /* Read yd (real), xd(imag) input */
+        U0 = pSrc16[i3 * 2U];
+        U1 = pSrc16[(i3 * 2U) + 1U];
+
+        /* T0 = yb-yd, T1 = xb-xd */
+        T0 = __SSAT(T0 - U0, 16);
+        T1 = __SSAT(T1 - U1, 16);
+
+        /* R0 = (ya-yc) + (xb- xd), R1 = (xa-xc) - (yb-yd)) */
+        R0 = (S0 >> 1U) - (T1 >> 1U);
+        R1 = (S1 >> 1U) + (T0 >> 1U);
+
+        /* S0 = (ya-yc) - (xb- xd), S1 = (xa-xc) + (yb-yd)) */
+        S0 = (S0 >> 1U) + (T1 >> 1U);
+        S1 = (S1 >> 1U) - (T0 >> 1U);
+
+        /*  Butterfly process for the i0+fftLen/2 sample */
+        out1 = (q15_t) ((Co1 * S0 + Si1 * S1) >> 16U);
+
+        out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16U);
+
+        /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+        /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+        pSrc16[i2 * 2U] = out1;
+        pSrc16[(i2 * 2U) + 1U] = out2;
+
+        /*  Butterfly process for the i0+3fftLen/4 sample */
+        out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16U);
+
+        out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16U);
+        /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */
+        /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */
+        pSrc16[i3 * 2U] = out1;
+        pSrc16[(i3 * 2U) + 1U] = out2;
+      }
+    }
+    /*  Twiddle coefficients index modifier */
+    twidCoefModifier <<= 2U;
+  }
+  /* end of middle stage process */
+
+
+  /* data is in 10.6(q6) format for the 1024 point */
+  /* data is in 8.8(q8) format for the 256 point */
+  /* data is in 6.10(q10) format for the 64 point */
+  /* data is in 4.12(q12) format for the 16 point */
+
+  /*  Initializations for the last stage */
+  n1 = n2;
+  n2 >>= 2U;
+
+  /* start of last stage process */
+
+  /*  Butterfly implementation */
+  for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1)
+  {
+    /*  index calculation for the input as, */
+    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+    i1 = i0 + n2;
+    i2 = i1 + n2;
+    i3 = i2 + n2;
+
+    /*  Reading i0, i0+fftLen/2 inputs */
+    /* Read ya (real), xa(imag) input */
+    T0 = pSrc16[i0 * 2U];
+    T1 = pSrc16[(i0 * 2U) + 1U];
+
+    /* Read yc (real), xc(imag) input */
+    S0 = pSrc16[i2 * 2U];
+    S1 = pSrc16[(i2 * 2U) + 1U];
+
+    /* R0 = (ya + yc), R1 = (xa + xc) */
+    R0 = __SSAT(T0 + S0, 16U);
+    R1 = __SSAT(T1 + S1, 16U);
+
+    /* S0 = (ya - yc), S1 = (xa - xc) */
+    S0 = __SSAT(T0 - S0, 16U);
+    S1 = __SSAT(T1 - S1, 16U);
+
+    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+    /* Read yb (real), xb(imag) input */
+    T0 = pSrc16[i1 * 2U];
+    T1 = pSrc16[(i1 * 2U) + 1U];
+    /* Read yd (real), xd(imag) input */
+    U0 = pSrc16[i3 * 2U];
+    U1 = pSrc16[(i3 * 2U) + 1U];
+
+    /* T0 = (yb + yd), T1 = (xb + xd)) */
+    T0 = __SSAT(T0 + U0, 16U);
+    T1 = __SSAT(T1 + U1, 16U);
+
+    /*  writing the butterfly processed i0 sample */
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U);
+    pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U);
+
+    /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
+    R0 = (R0 >> 1U) - (T0 >> 1U);
+    R1 = (R1 >> 1U) - (T1 >> 1U);
+    /* Read yb (real), xb(imag) input */
+    T0 = pSrc16[i1 * 2U];
+    T1 = pSrc16[(i1 * 2U) + 1U];
+
+    /*  writing the butterfly processed i0 + fftLen/4 sample */
+    /* xc' = (xa-xb+xc-xd) */
+    /* yc' = (ya-yb+yc-yd) */
+    pSrc16[i1 * 2U] = R0;
+    pSrc16[(i1 * 2U) + 1U] = R1;
+
+    /* Read yd (real), xd(imag) input */
+    U0 = pSrc16[i3 * 2U];
+    U1 = pSrc16[(i3 * 2U) + 1U];
+    /* T0 = (yb - yd), T1 = (xb - xd)  */
+    T0 = __SSAT(T0 - U0, 16U);
+    T1 = __SSAT(T1 - U1, 16U);
+
+    /*  writing the butterfly processed i0 + fftLen/2 sample */
+    /* xb' = (xa+yb-xc-yd) */
+    /* yb' = (ya-xb-yc+xd) */
+    pSrc16[i2 * 2U] = (S0 >> 1U) + (T1 >> 1U);
+    pSrc16[(i2 * 2U) + 1U] = (S1 >> 1U) - (T0 >> 1U);
+
+    /*  writing the butterfly processed i0 + 3fftLen/4 sample */
+    /* xd' = (xa-yb-xc+yd) */
+    /* yd' = (ya+xb-yc-xd) */
+    pSrc16[i3 * 2U] = (S0 >> 1U) - (T1 >> 1U);
+    pSrc16[(i3 * 2U) + 1U] = (S1 >> 1U) + (T0 >> 1U);
+
+  }
+
+  /* end of last stage process */
+
+  /* output is in 11.5(q5) format for the 1024 point */
+  /* output is in 9.7(q7) format for the 256 point   */
+  /* output is in 7.9(q9) format for the 64 point  */
+  /* output is in 5.11(q11) format for the 16 point  */
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+
+/**
+  @brief         Core function for the Q15 CIFFT butterfly process.
+  @param[in,out] pSrc16           points to the in-place buffer of Q15 data type
+  @param[in]     fftLen           length of the FFT
+  @param[in]     pCoef16          points to twiddle coefficient buffer
+  @param[in]     twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+  @return        none
+ */
+
+/*
+ * Radix-4 IFFT algorithm used is :
+ *
+ * CIFFT uses same twiddle coefficients as CFFT function
+ *  x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4]
+ *
+ *
+ * IFFT is implemented with following changes in equations from FFT
+ *
+ * Input real and imaginary data:
+ * x(n) = xa + j * ya
+ * x(n+N/4 ) = xb + j * yb
+ * x(n+N/2 ) = xc + j * yc
+ * x(n+3N 4) = xd + j * yd
+ *
+ *
+ * Output real and imaginary data:
+ * x(4r) = xa'+ j * ya'
+ * x(4r+1) = xb'+ j * yb'
+ * x(4r+2) = xc'+ j * yc'
+ * x(4r+3) = xd'+ j * yd'
+ *
+ *
+ * Twiddle factors for radix-4 IFFT:
+ * Wn = co1 + j * (si1)
+ * W2n = co2 + j * (si2)
+ * W3n = co3 + j * (si3)
+ 
+ * The real and imaginary output values for the radix-4 butterfly are
+ * xa' = xa + xb + xc + xd
+ * ya' = ya + yb + yc + yd
+ * xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)
+ * yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)
+ * xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)
+ * yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)
+ * xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)
+ * yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)
+ *
+ */
+
+void arm_radix4_butterfly_inverse_q15(
+        q15_t * pSrc16,
+        uint32_t fftLen,
+  const q15_t * pCoef16,
+        uint32_t twidCoefModifier)
+{
+
+#if defined (ARM_MATH_DSP)
+
+        q31_t R, S, T, U;
+        q31_t C1, C2, C3, out1, out2;
+        uint32_t n1, n2, ic, i0, j, k;
+        
+        q15_t *ptr1;
+        q15_t *pSi0;
+        q15_t *pSi1;
+        q15_t *pSi2;
+        q15_t *pSi3;
+        
+        q31_t xaya, xbyb, xcyc, xdyd;
+
+  /* Total process is divided into three stages */
+
+  /* process first stage, middle stages, & last stage */
+
+  /*  Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+
+  /* n2 = fftLen/4 */
+  n2 >>= 2U;
+
+  /* Index for twiddle coefficient */
+  ic = 0U;
+
+  /* Index for input read and output write */
+  j = n2;
+
+  pSi0 = pSrc16;
+  pSi1 = pSi0 + 2 * n2;
+  pSi2 = pSi1 + 2 * n2;
+  pSi3 = pSi2 + 2 * n2;
+
+  /* Input is in 1.15(q15) format */
+
+  /*  start of first stage process */
+  do
+  {
+    /*  Butterfly implementation */
+
+    /*  Reading i0, i0+fftLen/2 inputs */
+    /* Read ya (real), xa(imag) input */
+    T = read_q15x2 (pSi0);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
+
+    /* Read yc (real), xc(imag) input */
+    S = read_q15x2 (pSi2);
+    S = __SHADD16(S, 0);
+    S = __SHADD16(S, 0);
+
+    /* R = packed((ya + yc), (xa + xc) ) */
+    R = __QADD16(T, S);
+
+    /* S = packed((ya - yc), (xa - xc) ) */
+    S = __QSUB16(T, S);
+
+    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+    /* Read yb (real), xb(imag) input */
+    T = read_q15x2 (pSi1);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
+
+    /* Read yd (real), xd(imag) input */
+    U = read_q15x2 (pSi3);
+    U = __SHADD16(U, 0);
+    U = __SHADD16(U, 0);
+
+    /* T = packed((yb + yd), (xb + xd) ) */
+    T = __QADD16(T, U);
+
+    /*  writing the butterfly processed i0 sample */
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    write_q15x2_ia (&pSi0, __SHADD16(R, T));
+
+    /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */
+    R = __QSUB16(R, T);
+
+    /* co2 & si2 are read from SIMD Coefficient pointer */
+    C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic));
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+    out1 = __SMUSD(C2, R) >> 16U;
+    /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+    out2 = __SMUADX(C2, R);
+#else
+    /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+    out1 = __SMUADX(C2, R) >> 16U;
+    /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+    out2 = __SMUSD(__QSUB16(0, C2), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /*  Reading i0+fftLen/4 */
+    /* T = packed(yb, xb) */
+    T = read_q15x2 (pSi1);
+    T = __SHADD16(T, 0);
+    T = __SHADD16(T, 0);
+
+    /* writing the butterfly processed i0 + fftLen/4 sample */
+    /* writing output(xc', yc') in little endian format */
+    write_q15x2_ia (&pSi1, (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+    /*  Butterfly calculations */
+    /* U = packed(yd, xd) */
+    U = read_q15x2 (pSi3);
+    U = __SHADD16(U, 0);
+    U = __SHADD16(U, 0);
+
+    /* T = packed(yb-yd, xb-xd) */
+    T = __QSUB16(T, U);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+    R = __QSAX(S, T);
+    /* S = packed((ya-yc) + (xb- xd),  (xa-xc) - (yb-yd)) */
+    S = __QASX(S, T);
+#else
+    /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+    R = __QASX(S, T);
+    /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+    S = __QSAX(S, T);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* co1 & si1 are read from SIMD Coefficient pointer */
+    C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic));
+    /*  Butterfly process for the i0+fftLen/2 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+    out1 = __SMUSD(C1, S) >> 16U;
+    /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+    out2 = __SMUADX(C1, S);
+#else
+    /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+    out1 = __SMUADX(C1, S) >> 16U;
+    /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+    out2 = __SMUSD(__QSUB16(0, C1), S);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* writing output(xb', yb') in little endian format */
+    write_q15x2_ia (&pSi2, ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF));
+
+    /* co3 & si3 are read from SIMD Coefficient pointer */
+    C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic));
+    /*  Butterfly process for the i0+3fftLen/4 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+    out1 = __SMUSD(C3, R) >> 16U;
+    /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+    out2 = __SMUADX(C3, R);
+#else
+    /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+    out1 = __SMUADX(C3, R) >> 16U;
+    /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+    out2 = __SMUSD(__QSUB16(0, C3), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* writing output(xd', yd') in little endian format */
+    write_q15x2_ia (&pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+
+    /*  Twiddle coefficients index modifier */
+    ic = ic + twidCoefModifier;
+
+  } while (--j);
+  /* data is in 4.11(q11) format */
+
+  /* end of first stage process */
+
+
+  /* start of middle stage process */
+
+  /*  Twiddle coefficients index modifier */
+  twidCoefModifier <<= 2U;
+
+  /*  Calculation of Middle stage */
+  for (k = fftLen / 4U; k > 4U; k >>= 2U)
+  {
+    /*  Initializations for the middle stage */
+    n1 = n2;
+    n2 >>= 2U;
+    ic = 0U;
+
+    for (j = 0U; j <= (n2 - 1U); j++)
+    {
+      /*  index calculation for the coefficients */
+      C1 = read_q15x2 ((q15_t *) pCoef16 + (2U * ic));
+      C2 = read_q15x2 ((q15_t *) pCoef16 + (4U * ic));
+      C3 = read_q15x2 ((q15_t *) pCoef16 + (6U * ic));
+
+      /*  Twiddle coefficients index modifier */
+      ic = ic + twidCoefModifier;
+
+      pSi0 = pSrc16 + 2 * j;
+      pSi1 = pSi0 + 2 * n2;
+      pSi2 = pSi1 + 2 * n2;
+      pSi3 = pSi2 + 2 * n2;
+
+      /*  Butterfly implementation */
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  Reading i0, i0+fftLen/2 inputs */
+        /* Read ya (real), xa(imag) input */
+        T = read_q15x2 (pSi0);
+
+        /* Read yc (real), xc(imag) input */
+        S = read_q15x2 (pSi2);
+
+        /* R = packed( (ya + yc), (xa + xc)) */
+        R = __QADD16(T, S);
+
+        /* S = packed((ya - yc), (xa - xc)) */
+        S = __QSUB16(T, S);
+
+        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+        /* Read yb (real), xb(imag) input */
+        T = read_q15x2 (pSi1);
+
+        /* Read yd (real), xd(imag) input */
+        U = read_q15x2 (pSi3);
+
+        /* T = packed( (yb + yd), (xb + xd)) */
+        T = __QADD16(T, U);
+
+        /*  writing the butterfly processed i0 sample */
+
+        /* xa' = xa + xb + xc + xd */
+        /* ya' = ya + yb + yc + yd */
+        out1 = __SHADD16(R, T);
+        out1 = __SHADD16(out1, 0);
+        write_q15x2 (pSi0, out1);
+        pSi0 += 2 * n1;
+
+        /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */
+        R = __SHSUB16(R, T);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+        out1 = __SMUSD(C2, R) >> 16U;
+
+        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        out2 = __SMUADX(C2, R);
+#else
+        /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        out1 = __SMUADX(R, C2) >> 16U;
+
+        /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */
+        out2 = __SMUSD(__QSUB16(0, C2), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /*  Reading i0+3fftLen/4 */
+        /* Read yb (real), xb(imag) input */
+        T = read_q15x2 (pSi1);
+
+        /*  writing the butterfly processed i0 + fftLen/4 sample */
+        /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */
+        /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */
+        write_q15x2 (pSi1, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+        pSi1 += 2 * n1;
+
+        /*  Butterfly calculations */
+
+        /* Read yd (real), xd(imag) input */
+        U = read_q15x2 (pSi3);
+
+        /* T = packed(yb-yd, xb-xd) */
+        T = __QSUB16(T, U);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+        R = __SHSAX(S, T);
+
+        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+        S = __SHASX(S, T);
+
+        /*  Butterfly process for the i0+fftLen/2 sample */
+        out1 = __SMUSD(C1, S) >> 16U;
+        out2 = __SMUADX(C1, S);
+#else
+        /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */
+        R = __SHASX(S, T);
+
+        /* S = packed((ya-yc) - (xb- xd),  (xa-xc) + (yb-yd)) */
+        S = __SHSAX(S, T);
+
+        /*  Butterfly process for the i0+fftLen/2 sample */
+        out1 = __SMUADX(S, C1) >> 16U;
+        out2 = __SMUSD(__QSUB16(0, C1), S);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */
+        /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */
+        write_q15x2 (pSi2, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+        pSi2 += 2 * n1;
+
+        /*  Butterfly process for the i0+3fftLen/4 sample */
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        out1 = __SMUSD(C3, R) >> 16U;
+        out2 = __SMUADX(C3, R);
+#else
+        out1 = __SMUADX(C3, R) >> 16U;
+        out2 = __SMUSD(__QSUB16(0, C3), R);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */
+        /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */
+        write_q15x2 (pSi3, ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF));
+        pSi3 += 2 * n1;
+      }
+    }
+    /*  Twiddle coefficients index modifier */
+    twidCoefModifier <<= 2U;
+  }
+  /* end of middle stage process */
+
+  /* data is in 10.6(q6) format for the 1024 point */
+  /* data is in 8.8(q8) format for the 256 point */
+  /* data is in 6.10(q10) format for the 64 point */
+  /* data is in 4.12(q12) format for the 16 point */
+
+  /*  Initializations for the last stage */
+  j = fftLen >> 2;
+
+  ptr1 = &pSrc16[0];
+
+  /* start of last stage process */
+
+  /*  Butterfly implementation */
+  do
+  {
+    /* Read xa (real), ya(imag) input */
+    xaya = read_q15x2_ia ((q15_t **) &ptr1);
+
+    /* Read xb (real), yb(imag) input */
+    xbyb = read_q15x2_ia ((q15_t **) &ptr1);
+
+    /* Read xc (real), yc(imag) input */
+    xcyc = read_q15x2_ia ((q15_t **) &ptr1);
+
+    /* Read xd (real), yd(imag) input */
+    xdyd = read_q15x2_ia ((q15_t **) &ptr1);
+
+    /* R = packed((ya + yc), (xa + xc)) */
+    R = __QADD16(xaya, xcyc);
+
+    /* T = packed((yb + yd), (xb + xd)) */
+    T = __QADD16(xbyb, xdyd);
+
+    /* pointer updation for writing */
+    ptr1 = ptr1 - 8U;
+
+
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    write_q15x2_ia (&ptr1, __SHADD16(R, T));
+
+    /* T = packed((yb + yd), (xb + xd)) */
+    T = __QADD16(xbyb, xdyd);
+
+    /* xc' = (xa-xb+xc-xd) */
+    /* yc' = (ya-yb+yc-yd) */
+    write_q15x2_ia (&ptr1, __SHSUB16(R, T));
+
+    /* S = packed((ya - yc), (xa - xc)) */
+    S = __QSUB16(xaya, xcyc);
+
+    /* Read yd (real), xd(imag) input */
+    /* T = packed( (yb - yd), (xb - xd))  */
+    U = __QSUB16(xbyb, xdyd);
+
+#ifndef ARM_MATH_BIG_ENDIAN
+    /* xb' = (xa+yb-xc-yd) */
+    /* yb' = (ya-xb-yc+xd) */
+    write_q15x2_ia (&ptr1, __SHASX(S, U));
+
+    /* xd' = (xa-yb-xc+yd) */
+    /* yd' = (ya+xb-yc-xd) */
+    write_q15x2_ia (&ptr1, __SHSAX(S, U));
+#else
+    /* xb' = (xa+yb-xc-yd) */
+    /* yb' = (ya-xb-yc+xd) */
+    write_q15x2_ia (&ptr1, __SHSAX(S, U));
+
+    /* xd' = (xa-yb-xc+yd) */
+    /* yd' = (ya+xb-yc-xd) */
+    write_q15x2_ia (&ptr1, __SHASX(S, U));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+  } while (--j);
+
+  /* end of last stage  process */
+
+  /* output is in 11.5(q5) format for the 1024 point */
+  /* output is in 9.7(q7) format for the 256 point   */
+  /* output is in 7.9(q9) format for the 64 point  */
+  /* output is in 5.11(q11) format for the 16 point  */
+
+
+#else /* arm_radix4_butterfly_inverse_q15 */
+
+        q15_t R0, R1, S0, S1, T0, T1, U0, U1;
+        q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2;
+        uint32_t n1, n2, ic, i0, i1, i2, i3, j, k;
+
+  /* Total process is divided into three stages */
+
+  /* process first stage, middle stages, & last stage */
+
+  /*  Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+
+  /* n2 = fftLen/4 */
+  n2 >>= 2U;
+
+  /* Index for twiddle coefficient */
+  ic = 0U;
+
+  /* Index for input read and output write */
+  i0 = 0U;
+
+  j = n2;
+
+  /* Input is in 1.15(q15) format */
+
+  /*  Start of first stage process */
+  do
+  {
+    /*  Butterfly implementation */
+
+    /*  index calculation for the input as, */
+    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+    i1 = i0 + n2;
+    i2 = i1 + n2;
+    i3 = i2 + n2;
+
+    /*  Reading i0, i0+fftLen/2 inputs */
+    /* input is down scale by 4 to avoid overflow */
+    /* Read ya (real), xa(imag) input */
+    T0 = pSrc16[i0 * 2U] >> 2U;
+    T1 = pSrc16[(i0 * 2U) + 1U] >> 2U;
+    /* input is down scale by 4 to avoid overflow */
+    /* Read yc (real), xc(imag) input */
+    S0 = pSrc16[i2 * 2U] >> 2U;
+    S1 = pSrc16[(i2 * 2U) + 1U] >> 2U;
+
+    /* R0 = (ya + yc), R1 = (xa + xc) */
+    R0 = __SSAT(T0 + S0, 16U);
+    R1 = __SSAT(T1 + S1, 16U);
+    /* S0 = (ya - yc), S1 = (xa - xc) */
+    S0 = __SSAT(T0 - S0, 16U);
+    S1 = __SSAT(T1 - S1, 16U);
+
+    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+    /* input is down scale by 4 to avoid overflow */
+    /* Read yb (real), xb(imag) input */
+    T0 = pSrc16[i1 * 2U] >> 2U;
+    T1 = pSrc16[(i1 * 2U) + 1U] >> 2U;
+    /* Read yd (real), xd(imag) input */
+    /* input is down scale by 4 to avoid overflow */
+    U0 = pSrc16[i3 * 2U] >> 2U;
+    U1 = pSrc16[(i3 * 2U) + 1U] >> 2U;
+
+    /* T0 = (yb + yd), T1 = (xb + xd) */
+    T0 = __SSAT(T0 + U0, 16U);
+    T1 = __SSAT(T1 + U1, 16U);
+
+    /*  writing the butterfly processed i0 sample */
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U);
+    pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U);
+
+    /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc)- (xb + xd) */
+    R0 = __SSAT(R0 - T0, 16U);
+    R1 = __SSAT(R1 - T1, 16U);
+    /* co2 & si2 are read from Coefficient pointer */
+    Co2 = pCoef16[2U * ic * 2U];
+    Si2 = pCoef16[(2U * ic * 2U) + 1U];
+    /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
+    out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16U);
+    /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
+    out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16U);
+
+    /*  Reading i0+fftLen/4 */
+    /* input is down scale by 4 to avoid overflow */
+    /* T0 = yb, T1 = xb */
+    T0 = pSrc16[i1 * 2U] >> 2U;
+    T1 = pSrc16[(i1 * 2U) + 1U] >> 2U;
+
+    /* writing the butterfly processed i0 + fftLen/4 sample */
+    /* writing output(xc', yc') in little endian format */
+    pSrc16[i1 * 2U] = out1;
+    pSrc16[(i1 * 2U) + 1U] = out2;
+
+    /*  Butterfly calculations */
+    /* input is down scale by 4 to avoid overflow */
+    /* U0 = yd, U1 = xd) */
+    U0 = pSrc16[i3 * 2U] >> 2U;
+    U1 = pSrc16[(i3 * 2U) + 1U] >> 2U;
+
+    /* T0 = yb-yd, T1 = xb-xd) */
+    T0 = __SSAT(T0 - U0, 16U);
+    T1 = __SSAT(T1 - U1, 16U);
+    /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
+    R0 = (q15_t) __SSAT((q31_t) (S0 + T1), 16);
+    R1 = (q15_t) __SSAT((q31_t) (S1 - T0), 16);
+    /* S = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
+    S0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16);
+    S1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16);
+
+    /* co1 & si1 are read from Coefficient pointer */
+    Co1 = pCoef16[ic * 2U];
+    Si1 = pCoef16[(ic * 2U) + 1U];
+    /*  Butterfly process for the i0+fftLen/2 sample */
+    /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
+    out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16U);
+    /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
+    out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16U);
+    /* writing output(xb', yb') in little endian format */
+    pSrc16[i2 * 2U] = out1;
+    pSrc16[(i2 * 2U) + 1U] = out2;
+
+    /* Co3 & si3 are read from Coefficient pointer */
+    Co3 = pCoef16[3U * ic * 2U];
+    Si3 = pCoef16[(3U * ic * 2U) + 1U];
+    /*  Butterfly process for the i0+3fftLen/4 sample */
+    /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
+    out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16U);
+    /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
+    out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16U);
+    /* writing output(xd', yd') in little endian format */
+    pSrc16[i3 * 2U] = out1;
+    pSrc16[(i3 * 2U) + 1U] = out2;
+
+    /*  Twiddle coefficients index modifier */
+    ic = ic + twidCoefModifier;
+
+    /*  Updating input index */
+    i0 = i0 + 1U;
+
+  } while (--j);
+
+  /*  End of first stage process */
+
+  /* data is in 4.11(q11) format */
+
+
+  /*  Start of Middle stage process */
+
+  /*  Twiddle coefficients index modifier */
+  twidCoefModifier <<= 2U;
+
+  /*  Calculation of Middle stage */
+  for (k = fftLen / 4U; k > 4U; k >>= 2U)
+  {
+    /*  Initializations for the middle stage */
+    n1 = n2;
+    n2 >>= 2U;
+    ic = 0U;
+
+    for (j = 0U; j <= (n2 - 1U); j++)
+    {
+      /*  index calculation for the coefficients */
+      Co1 = pCoef16[ic * 2U];
+      Si1 = pCoef16[(ic * 2U) + 1U];
+      Co2 = pCoef16[2U * ic * 2U];
+      Si2 = pCoef16[2U * ic * 2U + 1U];
+      Co3 = pCoef16[3U * ic * 2U];
+      Si3 = pCoef16[(3U * ic * 2U) + 1U];
+
+      /*  Twiddle coefficients index modifier */
+      ic = ic + twidCoefModifier;
+
+      /*  Butterfly implementation */
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  index calculation for the input as, */
+        /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+        i1 = i0 + n2;
+        i2 = i1 + n2;
+        i3 = i2 + n2;
+
+        /*  Reading i0, i0+fftLen/2 inputs */
+        /* Read ya (real), xa(imag) input */
+        T0 = pSrc16[i0 * 2U];
+        T1 = pSrc16[(i0 * 2U) + 1U];
+
+        /* Read yc (real), xc(imag) input */
+        S0 = pSrc16[i2 * 2U];
+        S1 = pSrc16[(i2 * 2U) + 1U];
+
+
+        /* R0 = (ya + yc), R1 = (xa + xc) */
+        R0 = __SSAT(T0 + S0, 16U);
+        R1 = __SSAT(T1 + S1, 16U);
+        /* S0 = (ya - yc), S1 = (xa - xc) */
+        S0 = __SSAT(T0 - S0, 16U);
+        S1 = __SSAT(T1 - S1, 16U);
+
+        /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+        /* Read yb (real), xb(imag) input */
+        T0 = pSrc16[i1 * 2U];
+        T1 = pSrc16[(i1 * 2U) + 1U];
+
+        /* Read yd (real), xd(imag) input */
+        U0 = pSrc16[i3 * 2U];
+        U1 = pSrc16[(i3 * 2U) + 1U];
+
+        /* T0 = (yb + yd), T1 = (xb + xd) */
+        T0 = __SSAT(T0 + U0, 16U);
+        T1 = __SSAT(T1 + U1, 16U);
+
+        /*  writing the butterfly processed i0 sample */
+        /* xa' = xa + xb + xc + xd */
+        /* ya' = ya + yb + yc + yd */
+        pSrc16[i0 * 2U] = ((R0 >> 1U) + (T0 >> 1U)) >> 1U;
+        pSrc16[(i0 * 2U) + 1U] = ((R1 >> 1U) + (T1 >> 1U)) >> 1U;
+
+        /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
+        R0 = (R0 >> 1U) - (T0 >> 1U);
+        R1 = (R1 >> 1U) - (T1 >> 1U);
+
+        /* (ya-yb+yc-yd)* (si2) - (xa-xb+xc-xd)* co2 */
+        out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16);
+        /* (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
+        out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16);
+
+        /*  Reading i0+3fftLen/4 */
+        /* Read yb (real), xb(imag) input */
+        T0 = pSrc16[i1 * 2U];
+        T1 = pSrc16[(i1 * 2U) + 1U];
+
+        /*  writing the butterfly processed i0 + fftLen/4 sample */
+        /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */
+        /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */
+        pSrc16[i1 * 2U] = out1;
+        pSrc16[(i1 * 2U) + 1U] = out2;
+
+        /*  Butterfly calculations */
+        /* Read yd (real), xd(imag) input */
+        U0 = pSrc16[i3 * 2U];
+        U1 = pSrc16[(i3 * 2U) + 1U];
+
+        /* T0 = yb-yd, T1 = xb-xd) */
+        T0 = __SSAT(T0 - U0, 16U);
+        T1 = __SSAT(T1 - U1, 16U);
+
+        /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */
+        R0 = (S0 >> 1U) + (T1 >> 1U);
+        R1 = (S1 >> 1U) - (T0 >> 1U);
+
+        /* S1 = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */
+        S0 = (S0 >> 1U) - (T1 >> 1U);
+        S1 = (S1 >> 1U) + (T0 >> 1U);
+
+        /*  Butterfly process for the i0+fftLen/2 sample */
+        out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16U);
+        out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16U);
+        /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */
+        /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */
+        pSrc16[i2 * 2U] = out1;
+        pSrc16[(i2 * 2U) + 1U] = out2;
+
+        /*  Butterfly process for the i0+3fftLen/4 sample */
+        out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16U);
+
+        out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16U);
+        /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */
+        /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */
+        pSrc16[i3 * 2U] = out1;
+        pSrc16[(i3 * 2U) + 1U] = out2;
+
+
+      }
+    }
+    /*  Twiddle coefficients index modifier */
+    twidCoefModifier <<= 2U;
+  }
+  /*  End of Middle stages process */
+
+
+  /* data is in 10.6(q6) format for the 1024 point */
+  /* data is in 8.8(q8) format for the 256 point   */
+  /* data is in 6.10(q10) format for the 64 point  */
+  /* data is in 4.12(q12) format for the 16 point  */
+
+  /* start of last stage process */
+
+
+  /*  Initializations for the last stage */
+  n1 = n2;
+  n2 >>= 2U;
+
+  /*  Butterfly implementation */
+  for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1)
+  {
+    /*  index calculation for the input as, */
+    /*  pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */
+    i1 = i0 + n2;
+    i2 = i1 + n2;
+    i3 = i2 + n2;
+
+    /*  Reading i0, i0+fftLen/2 inputs */
+    /* Read ya (real), xa(imag) input */
+    T0 = pSrc16[i0 * 2U];
+    T1 = pSrc16[(i0 * 2U) + 1U];
+    /* Read yc (real), xc(imag) input */
+    S0 = pSrc16[i2 * 2U];
+    S1 = pSrc16[(i2 * 2U) + 1U];
+
+    /* R0 = (ya + yc), R1 = (xa + xc) */
+    R0 = __SSAT(T0 + S0, 16U);
+    R1 = __SSAT(T1 + S1, 16U);
+    /* S0 = (ya - yc), S1 = (xa - xc) */
+    S0 = __SSAT(T0 - S0, 16U);
+    S1 = __SSAT(T1 - S1, 16U);
+
+    /*  Reading i0+fftLen/4 , i0+3fftLen/4 inputs */
+    /* Read yb (real), xb(imag) input */
+    T0 = pSrc16[i1 * 2U];
+    T1 = pSrc16[(i1 * 2U) + 1U];
+    /* Read yd (real), xd(imag) input */
+    U0 = pSrc16[i3 * 2U];
+    U1 = pSrc16[(i3 * 2U) + 1U];
+
+    /* T0 = (yb + yd), T1 = (xb + xd) */
+    T0 = __SSAT(T0 + U0, 16U);
+    T1 = __SSAT(T1 + U1, 16U);
+
+    /*  writing the butterfly processed i0 sample */
+    /* xa' = xa + xb + xc + xd */
+    /* ya' = ya + yb + yc + yd */
+    pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U);
+    pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U);
+
+    /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */
+    R0 = (R0 >> 1U) - (T0 >> 1U);
+    R1 = (R1 >> 1U) - (T1 >> 1U);
+
+    /* Read yb (real), xb(imag) input */
+    T0 = pSrc16[i1 * 2U];
+    T1 = pSrc16[(i1 * 2U) + 1U];
+
+    /*  writing the butterfly processed i0 + fftLen/4 sample */
+    /* xc' = (xa-xb+xc-xd) */
+    /* yc' = (ya-yb+yc-yd) */
+    pSrc16[i1 * 2U] = R0;
+    pSrc16[(i1 * 2U) + 1U] = R1;
+
+    /* Read yd (real), xd(imag) input */
+    U0 = pSrc16[i3 * 2U];
+    U1 = pSrc16[(i3 * 2U) + 1U];
+    /* T0 = (yb - yd), T1 = (xb - xd) */
+    T0 = __SSAT(T0 - U0, 16U);
+    T1 = __SSAT(T1 - U1, 16U);
+
+    /*  writing the butterfly processed i0 + fftLen/2 sample */
+    /* xb' = (xa-yb-xc+yd) */
+    /* yb' = (ya+xb-yc-xd) */
+    pSrc16[i2 * 2U] = (S0 >> 1U) - (T1 >> 1U);
+    pSrc16[(i2 * 2U) + 1U] = (S1 >> 1U) + (T0 >> 1U);
+
+
+    /*  writing the butterfly processed i0 + 3fftLen/4 sample */
+    /* xd' = (xa+yb-xc-yd) */
+    /* yd' = (ya-xb-yc+xd) */
+    pSrc16[i3 * 2U] = (S0 >> 1U) + (T1 >> 1U);
+    pSrc16[(i3 * 2U) + 1U] = (S1 >> 1U) - (T0 >> 1U);
+  }
+  /* end of last stage  process */
+
+  /* output is in 11.5(q5) format for the 1024 point */
+  /* output is in 9.7(q7) format for the 256 point   */
+  /* output is in 7.9(q9) format for the 64 point  */
+  /* output is in 5.11(q11) format for the 16 point  */
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c
new file mode 100644
index 0000000..b7ea7e5
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c
@@ -0,0 +1,827 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix4_q31.c
+ * Description:  This file has function definition of Radix-4 FFT & IFFT function and
+ *               In-place bit reversal using bit reversal table
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+void arm_radix4_butterfly_inverse_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef,
+        uint32_t twidCoefModifier);
+
+void arm_radix4_butterfly_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef,
+        uint32_t twidCoefModifier);
+
+void arm_bitreversal_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+        uint16_t bitRevFactor,
+  const uint16_t * pBitRevTab);
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup ComplexFFT
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 CFFT/CIFFT.
+  @deprecated    Do not use this function.  It has been superseded by \ref arm_cfft_q31 and will be removed in the future.
+  @param[in]     S    points to an instance of the Q31 CFFT/CIFFT structure
+  @param[in,out] pSrc points to the complex data buffer of size <code>2*fftLen</code>. Processing occurs in-place
+  @return        none
+ 
+  @par Input and output formats:
+                 Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
+                 Hence the output format is different for different FFT sizes.
+                 The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT:
+  @par
+                 \image html CFFTQ31.gif "Input and Output Formats for Q31 CFFT"
+                 \image html CIFFTQ31.gif "Input and Output Formats for Q31 CIFFT"
+ */
+
+void arm_cfft_radix4_q31(
+  const arm_cfft_radix4_instance_q31 * S,
+        q31_t * pSrc)
+{
+  if (S->ifftFlag == 1U)
+  {
+    /* Complex IFFT radix-4 */
+    arm_radix4_butterfly_inverse_q31(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+  }
+  else
+  {
+    /* Complex FFT radix-4 */
+    arm_radix4_butterfly_q31(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier);
+  }
+
+  if (S->bitReverseFlag == 1U)
+  {
+    /*  Bit Reversal */
+    arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable);
+  }
+
+}
+
+/**
+  @} end of ComplexFFT group
+ */
+
+/*
+ * Radix-4 FFT algorithm used is :
+ *
+ * Input real and imaginary data:
+ * x(n) = xa + j * ya
+ * x(n+N/4 ) = xb + j * yb
+ * x(n+N/2 ) = xc + j * yc
+ * x(n+3N 4) = xd + j * yd
+ *
+ *
+ * Output real and imaginary data:
+ * x(4r) = xa'+ j * ya'
+ * x(4r+1) = xb'+ j * yb'
+ * x(4r+2) = xc'+ j * yc'
+ * x(4r+3) = xd'+ j * yd'
+ *
+ *
+ * Twiddle factors for radix-4 FFT:
+ * Wn = co1 + j * (- si1)
+ * W2n = co2 + j * (- si2)
+ * W3n = co3 + j * (- si3)
+ *
+ *  Butterfly implementation:
+ * xa' = xa + xb + xc + xd
+ * ya' = ya + yb + yc + yd
+ * xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1)
+ * yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1)
+ * xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2)
+ * yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2)
+ * xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3)
+ * yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3)
+ *
+ */
+
+/**
+  @brief         Core function for the Q31 CFFT butterfly process.
+  @param[in,out] pSrc             points to the in-place buffer of Q31 data type.
+  @param[in]     fftLen           length of the FFT.
+  @param[in]     pCoef            points to twiddle coefficient buffer.
+  @param[in]     twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+  @return        none
+ */
+
+void arm_radix4_butterfly_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef,
+        uint32_t twidCoefModifier)
+{
+        uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
+        q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
+        
+        q31_t xa, xb, xc, xd;
+        q31_t ya, yb, yc, yd;
+        q31_t xa_out, xb_out, xc_out, xd_out;
+        q31_t ya_out, yb_out, yc_out, yd_out;
+        
+        q31_t *ptr1;
+
+  /* Total process is divided into three stages */
+
+  /* process first stage, middle stages, & last stage */
+
+
+  /* start of first stage process */
+
+  /*  Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+  /* n2 = fftLen/4 */
+  n2 >>= 2U;
+  i0 = 0U;
+  ia1 = 0U;
+
+  j = n2;
+
+  /*  Calculation of first stage */
+  do
+  {
+    /*  index calculation for the input as, */
+    /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */
+    i1 = i0 + n2;
+    i2 = i1 + n2;
+    i3 = i2 + n2;
+
+    /* input is in 1.31(q31) format and provide 4 guard bits for the input */
+
+    /*  Butterfly implementation */
+    /* xa + xc */
+    r1 = (pSrc[(2U * i0)] >> 4U) + (pSrc[(2U * i2)] >> 4U);
+    /* xa - xc */
+    r2 = (pSrc[(2U * i0)] >> 4U) - (pSrc[(2U * i2)] >> 4U);
+
+    /* xb + xd */
+    t1 = (pSrc[(2U * i1)] >> 4U) + (pSrc[(2U * i3)] >> 4U);
+
+    /* ya + yc */
+    s1 = (pSrc[(2U * i0) + 1U] >> 4U) + (pSrc[(2U * i2) + 1U] >> 4U);
+    /* ya - yc */
+    s2 = (pSrc[(2U * i0) + 1U] >> 4U) - (pSrc[(2U * i2) + 1U] >> 4U);
+
+    /* xa' = xa + xb + xc + xd */
+    pSrc[2U * i0] = (r1 + t1);
+    /* (xa + xc) - (xb + xd) */
+    r1 = r1 - t1;
+    /* yb + yd */
+    t2 = (pSrc[(2U * i1) + 1U] >> 4U) + (pSrc[(2U * i3) + 1U] >> 4U);
+
+    /* ya' = ya + yb + yc + yd */
+    pSrc[(2U * i0) + 1U] = (s1 + t2);
+
+    /* (ya + yc) - (yb + yd) */
+    s1 = s1 - t2;
+
+    /* yb - yd */
+    t1 = (pSrc[(2U * i1) + 1U] >> 4U) - (pSrc[(2U * i3) + 1U] >> 4U);
+    /* xb - xd */
+    t2 = (pSrc[(2U * i1)] >> 4U) - (pSrc[(2U * i3)] >> 4U);
+
+    /*  index calculation for the coefficients */
+    ia2 = 2U * ia1;
+    co2 = pCoef[(ia2 * 2U)];
+    si2 = pCoef[(ia2 * 2U) + 1U];
+
+    /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+    pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
+                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1U;
+
+    /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+    pSrc[(2U * i1) + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
+                            ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1U;
+
+    /* (xa - xc) + (yb - yd) */
+    r1 = r2 + t1;
+    /* (xa - xc) - (yb - yd) */
+    r2 = r2 - t1;
+
+    /* (ya - yc) - (xb - xd) */
+    s1 = s2 - t2;
+    /* (ya - yc) + (xb - xd) */
+    s2 = s2 + t2;
+
+    co1 = pCoef[(ia1 * 2U)];
+    si1 = pCoef[(ia1 * 2U) + 1U];
+
+    /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+    pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
+                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1U;
+
+    /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+    pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
+                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1U;
+
+    /*  index calculation for the coefficients */
+    ia3 = 3U * ia1;
+    co3 = pCoef[(ia3 * 2U)];
+    si3 = pCoef[(ia3 * 2U) + 1U];
+
+    /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+    pSrc[2U * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
+                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1U;
+
+    /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+    pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
+                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1U;
+
+    /*  Twiddle coefficients index modifier */
+    ia1 = ia1 + twidCoefModifier;
+
+    /*  Updating input index */
+    i0 = i0 + 1U;
+
+  } while (--j);
+
+  /* end of first stage process */
+
+  /* data is in 5.27(q27) format */
+
+
+  /* start of Middle stages process */
+
+
+  /* each stage in middle stages provides two down scaling of the input */
+
+  twidCoefModifier <<= 2U;
+
+
+  for (k = fftLen / 4U; k > 4U; k >>= 2U)
+  {
+    /*  Initializations for the first stage */
+    n1 = n2;
+    n2 >>= 2U;
+    ia1 = 0U;
+
+    /*  Calculation of first stage */
+    for (j = 0U; j <= (n2 - 1U); j++)
+    {
+      /*  index calculation for the coefficients */
+      ia2 = ia1 + ia1;
+      ia3 = ia2 + ia1;
+      co1 = pCoef[(ia1 * 2U)];
+      si1 = pCoef[(ia1 * 2U) + 1U];
+      co2 = pCoef[(ia2 * 2U)];
+      si2 = pCoef[(ia2 * 2U) + 1U];
+      co3 = pCoef[(ia3 * 2U)];
+      si3 = pCoef[(ia3 * 2U) + 1U];
+      /*  Twiddle coefficients index modifier */
+      ia1 = ia1 + twidCoefModifier;
+
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  index calculation for the input as, */
+        /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */
+        i1 = i0 + n2;
+        i2 = i1 + n2;
+        i3 = i2 + n2;
+
+        /*  Butterfly implementation */
+        /* xa + xc */
+        r1 = pSrc[2U * i0] + pSrc[2U * i2];
+        /* xa - xc */
+        r2 = pSrc[2U * i0] - pSrc[2U * i2];
+
+        /* ya + yc */
+        s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
+        /* ya - yc */
+        s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
+
+        /* xb + xd */
+        t1 = pSrc[2U * i1] + pSrc[2U * i3];
+
+        /* xa' = xa + xb + xc + xd */
+        pSrc[2U * i0] = (r1 + t1) >> 2U;
+        /* xa + xc -(xb + xd) */
+        r1 = r1 - t1;
+
+        /* yb + yd */
+        t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
+        /* ya' = ya + yb + yc + yd */
+        pSrc[(2U * i0) + 1U] = (s1 + t2) >> 2U;
+
+        /* (ya + yc) - (yb + yd) */
+        s1 = s1 - t2;
+
+        /* (yb - yd) */
+        t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
+        /* (xb - xd) */
+        t2 = pSrc[2U * i1] - pSrc[2U * i3];
+
+        /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */
+        pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) +
+                         ((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1U;
+
+        /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */
+        pSrc[(2U * i1) + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32)) -
+                                ((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1U;
+
+        /* (xa - xc) + (yb - yd) */
+        r1 = r2 + t1;
+        /* (xa - xc) - (yb - yd) */
+        r2 = r2 - t1;
+
+        /* (ya - yc) -  (xb - xd) */
+        s1 = s2 - t2;
+        /* (ya - yc) +  (xb - xd) */
+        s2 = s2 + t2;
+
+        /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */
+        pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) +
+                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1U;
+
+        /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */
+        pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) -
+                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1U;
+
+        /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */
+        pSrc[2U * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) +
+                         ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1U;
+
+        /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */
+        pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) -
+                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1U;
+      }
+    }
+    twidCoefModifier <<= 2U;
+  }
+
+  /* End of Middle stages process */
+
+  /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */
+  /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */
+  /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */
+  /* data is in 5.27(q27) format for the 16 point as there are no middle stages */
+
+
+  /* start of Last stage process */
+  /*  Initializations for the last stage */
+  j = fftLen >> 2;
+  ptr1 = &pSrc[0];
+
+  /*  Calculations of last stage */
+  do
+  {
+    /* Read xa (real), ya(imag) input */
+    xa = *ptr1++;
+    ya = *ptr1++;
+
+    /* Read xb (real), yb(imag) input */
+    xb = *ptr1++;
+    yb = *ptr1++;
+
+    /* Read xc (real), yc(imag) input */
+    xc = *ptr1++;
+    yc = *ptr1++;
+
+    /* Read xc (real), yc(imag) input */
+    xd = *ptr1++;
+    yd = *ptr1++;
+
+    /* xa' = xa + xb + xc + xd */
+    xa_out = xa + xb + xc + xd;
+
+    /* ya' = ya + yb + yc + yd */
+    ya_out = ya + yb + yc + yd;
+
+    /* pointer updation for writing */
+    ptr1 = ptr1 - 8U;
+
+    /* writing xa' and ya' */
+    *ptr1++ = xa_out;
+    *ptr1++ = ya_out;
+
+    xc_out = (xa - xb + xc - xd);
+    yc_out = (ya - yb + yc - yd);
+
+    /* writing xc' and yc' */
+    *ptr1++ = xc_out;
+    *ptr1++ = yc_out;
+
+    xb_out = (xa + yb - xc - yd);
+    yb_out = (ya - xb - yc + xd);
+
+    /* writing xb' and yb' */
+    *ptr1++ = xb_out;
+    *ptr1++ = yb_out;
+
+    xd_out = (xa - yb - xc + yd);
+    yd_out = (ya + xb - yc - xd);
+
+    /* writing xd' and yd' */
+    *ptr1++ = xd_out;
+    *ptr1++ = yd_out;
+
+
+  } while (--j);
+
+  /* output is in 11.21(q21) format for the 1024 point */
+  /* output is in 9.23(q23) format for the 256 point */
+  /* output is in 7.25(q25) format for the 64 point */
+  /* output is in 5.27(q27) format for the 16 point */
+
+  /* End of last stage process */
+
+}
+
+
+/**
+  @brief         Core function for the Q31 CIFFT butterfly process.
+  @param[in,out] pSrc             points to the in-place buffer of Q31 data type.
+  @param[in]     fftLen           length of the FFT.
+  @param[in]     pCoef            points to twiddle coefficient buffer.
+  @param[in]     twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+  @return        none
+ */
+
+/*
+ * Radix-4 IFFT algorithm used is :
+ *
+ * CIFFT uses same twiddle coefficients as CFFT Function
+ *  x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4]
+ *
+ *
+ * IFFT is implemented with following changes in equations from FFT
+ *
+ * Input real and imaginary data:
+ * x(n) = xa + j * ya
+ * x(n+N/4 ) = xb + j * yb
+ * x(n+N/2 ) = xc + j * yc
+ * x(n+3N 4) = xd + j * yd
+ *
+ *
+ * Output real and imaginary data:
+ * x(4r) = xa'+ j * ya'
+ * x(4r+1) = xb'+ j * yb'
+ * x(4r+2) = xc'+ j * yc'
+ * x(4r+3) = xd'+ j * yd'
+ *
+ *
+ * Twiddle factors for radix-4 IFFT:
+ * Wn = co1 + j * (si1)
+ * W2n = co2 + j * (si2)
+ * W3n = co3 + j * (si3)
+ 
+ * The real and imaginary output values for the radix-4 butterfly are
+ * xa' = xa + xb + xc + xd
+ * ya' = ya + yb + yc + yd
+ * xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1)
+ * yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1)
+ * xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2)
+ * yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2)
+ * xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3)
+ * yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3)
+ *
+ */
+
+void arm_radix4_butterfly_inverse_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pCoef,
+        uint32_t twidCoefModifier)
+{
+        uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k;
+        q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3;
+        q31_t xa, xb, xc, xd;
+        q31_t ya, yb, yc, yd;
+        q31_t xa_out, xb_out, xc_out, xd_out;
+        q31_t ya_out, yb_out, yc_out, yd_out;
+        
+        q31_t *ptr1;
+
+  /* input is be 1.31(q31) format for all FFT sizes */
+  /* Total process is divided into three stages */
+  /* process first stage, middle stages, & last stage */
+
+  /* Start of first stage process */
+
+  /* Initializations for the first stage */
+  n2 = fftLen;
+  n1 = n2;
+  /* n2 = fftLen/4 */
+  n2 >>= 2U;
+  i0 = 0U;
+  ia1 = 0U;
+
+  j = n2;
+
+  do
+  {
+    /* input is in 1.31(q31) format and provide 4 guard bits for the input */
+
+    /*  index calculation for the input as, */
+    /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */
+    i1 = i0 + n2;
+    i2 = i1 + n2;
+    i3 = i2 + n2;
+
+    /*  Butterfly implementation */
+    /* xa + xc */
+    r1 = (pSrc[2U * i0] >> 4U) + (pSrc[2U * i2] >> 4U);
+    /* xa - xc */
+    r2 = (pSrc[2U * i0] >> 4U) - (pSrc[2U * i2] >> 4U);
+
+    /* xb + xd */
+    t1 = (pSrc[2U * i1] >> 4U) + (pSrc[2U * i3] >> 4U);
+
+    /* ya + yc */
+    s1 = (pSrc[(2U * i0) + 1U] >> 4U) + (pSrc[(2U * i2) + 1U] >> 4U);
+    /* ya - yc */
+    s2 = (pSrc[(2U * i0) + 1U] >> 4U) - (pSrc[(2U * i2) + 1U] >> 4U);
+
+    /* xa' = xa + xb + xc + xd */
+    pSrc[2U * i0] = (r1 + t1);
+    /* (xa + xc) - (xb + xd) */
+    r1 = r1 - t1;
+    /* yb + yd */
+    t2 = (pSrc[(2U * i1) + 1U] >> 4U) + (pSrc[(2U * i3) + 1U] >> 4U);
+    /* ya' = ya + yb + yc + yd */
+    pSrc[(2U * i0) + 1U] = (s1 + t2);
+
+    /* (ya + yc) - (yb + yd) */
+    s1 = s1 - t2;
+
+    /* yb - yd */
+    t1 = (pSrc[(2U * i1) + 1U] >> 4U) - (pSrc[(2U * i3) + 1U] >> 4U);
+    /* xb - xd */
+    t2 = (pSrc[2U * i1] >> 4U) - (pSrc[2U * i3] >> 4U);
+
+    /*  index calculation for the coefficients */
+    ia2 = 2U * ia1;
+    co2 = pCoef[ia2 * 2U];
+    si2 = pCoef[(ia2 * 2U) + 1U];
+
+    /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+    pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) -
+                     ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1U;
+
+    /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+    pSrc[2U * i1 + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32)) +
+                          ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1U;
+
+    /* (xa - xc) - (yb - yd) */
+    r1 = r2 - t1;
+    /* (xa - xc) + (yb - yd) */
+    r2 = r2 + t1;
+
+    /* (ya - yc) + (xb - xd) */
+    s1 = s2 + t2;
+    /* (ya - yc) - (xb - xd) */
+    s2 = s2 - t2;
+
+    co1 = pCoef[ia1 * 2U];
+    si1 = pCoef[(ia1 * 2U) + 1U];
+
+    /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+    pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
+                     ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1U;
+
+    /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+    pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
+                            ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1U;
+
+    /*  index calculation for the coefficients */
+    ia3 = 3U * ia1;
+    co3 = pCoef[ia3 * 2U];
+    si3 = pCoef[(ia3 * 2U) + 1U];
+
+    /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+    pSrc[2U * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
+                     ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1U;
+
+    /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+    pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
+                            ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1U;
+
+    /*  Twiddle coefficients index modifier */
+    ia1 = ia1 + twidCoefModifier;
+
+    /*  Updating input index */
+    i0 = i0 + 1U;
+
+  } while (--j);
+
+  /* data is in 5.27(q27) format */
+  /* each stage provides two down scaling of the input */
+
+
+  /* Start of Middle stages process */
+
+  twidCoefModifier <<= 2U;
+
+  /*  Calculation of second stage to excluding last stage */
+  for (k = fftLen / 4U; k > 4U; k >>= 2U)
+  {
+    /*  Initializations for the first stage */
+    n1 = n2;
+    n2 >>= 2U;
+    ia1 = 0U;
+
+    for (j = 0; j <= (n2 - 1U); j++)
+    {
+      /*  index calculation for the coefficients */
+      ia2 = ia1 + ia1;
+      ia3 = ia2 + ia1;
+      co1 = pCoef[(ia1 * 2U)];
+      si1 = pCoef[(ia1 * 2U) + 1U];
+      co2 = pCoef[(ia2 * 2U)];
+      si2 = pCoef[(ia2 * 2U) + 1U];
+      co3 = pCoef[(ia3 * 2U)];
+      si3 = pCoef[(ia3 * 2U) + 1U];
+      /*  Twiddle coefficients index modifier */
+      ia1 = ia1 + twidCoefModifier;
+
+      for (i0 = j; i0 < fftLen; i0 += n1)
+      {
+        /*  index calculation for the input as, */
+        /*  pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */
+        i1 = i0 + n2;
+        i2 = i1 + n2;
+        i3 = i2 + n2;
+
+        /*  Butterfly implementation */
+        /* xa + xc */
+        r1 = pSrc[2U * i0] + pSrc[2U * i2];
+        /* xa - xc */
+        r2 = pSrc[2U * i0] - pSrc[2U * i2];
+
+        /* ya + yc */
+        s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U];
+        /* ya - yc */
+        s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U];
+
+        /* xb + xd */
+        t1 = pSrc[2U * i1] + pSrc[2U * i3];
+
+        /* xa' = xa + xb + xc + xd */
+        pSrc[2U * i0] = (r1 + t1) >> 2U;
+        /* xa + xc -(xb + xd) */
+        r1 = r1 - t1;
+        /* yb + yd */
+        t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U];
+        /* ya' = ya + yb + yc + yd */
+        pSrc[(2U * i0) + 1U] = (s1 + t2) >> 2U;
+
+        /* (ya + yc) - (yb + yd) */
+        s1 = s1 - t2;
+
+        /* (yb - yd) */
+        t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U];
+        /* (xb - xd) */
+        t2 = pSrc[2U * i1] - pSrc[2U * i3];
+
+        /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */
+        pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32U)) -
+                         ((int32_t) (((q63_t) s1 * si2) >> 32U))) >> 1U;
+
+        /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */
+        pSrc[(2U * i1) + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32U)) +
+                                ((int32_t) (((q63_t) r1 * si2) >> 32U))) >> 1U;
+
+        /* (xa - xc) - (yb - yd) */
+        r1 = r2 - t1;
+        /* (xa - xc) + (yb - yd) */
+        r2 = r2 + t1;
+
+        /* (ya - yc) +  (xb - xd) */
+        s1 = s2 + t2;
+        /* (ya - yc) -  (xb - xd) */
+        s2 = s2 - t2;
+
+        /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */
+        pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) -
+                         ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1U;
+
+        /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */
+        pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) +
+                                ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1U;
+
+        /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */
+        pSrc[(2U * i3)] = (((int32_t) (((q63_t) r2 * co3) >> 32)) -
+                           ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1U;
+
+        /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */
+        pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) +
+                                ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1U;
+      }
+    }
+    twidCoefModifier <<= 2U;
+  }
+
+  /* End of Middle stages process */
+
+  /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */
+  /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */
+  /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */
+  /* data is in 5.27(q27) format for the 16 point as there are no middle stages */
+
+
+  /* Start of last stage process */
+
+
+  /*  Initializations for the last stage */
+  j = fftLen >> 2;
+  ptr1 = &pSrc[0];
+
+  /*  Calculations of last stage */
+  do
+  {
+    /* Read xa (real), ya(imag) input */
+    xa = *ptr1++;
+    ya = *ptr1++;
+
+    /* Read xb (real), yb(imag) input */
+    xb = *ptr1++;
+    yb = *ptr1++;
+
+    /* Read xc (real), yc(imag) input */
+    xc = *ptr1++;
+    yc = *ptr1++;
+
+    /* Read xc (real), yc(imag) input */
+    xd = *ptr1++;
+    yd = *ptr1++;
+
+    /* xa' = xa + xb + xc + xd */
+    xa_out = xa + xb + xc + xd;
+
+    /* ya' = ya + yb + yc + yd */
+    ya_out = ya + yb + yc + yd;
+
+    /* pointer updation for writing */
+    ptr1 = ptr1 - 8U;
+
+    /* writing xa' and ya' */
+    *ptr1++ = xa_out;
+    *ptr1++ = ya_out;
+
+    xc_out = (xa - xb + xc - xd);
+    yc_out = (ya - yb + yc - yd);
+
+    /* writing xc' and yc' */
+    *ptr1++ = xc_out;
+    *ptr1++ = yc_out;
+
+    xb_out = (xa - yb - xc + yd);
+    yb_out = (ya + xb - yc - xd);
+
+    /* writing xb' and yb' */
+    *ptr1++ = xb_out;
+    *ptr1++ = yb_out;
+
+    xd_out = (xa + yb - xc - yd);
+    yd_out = (ya - xb - yc + xd);
+
+    /* writing xd' and yd' */
+    *ptr1++ = xd_out;
+    *ptr1++ = yd_out;
+
+  } while (--j);
+
+  /* output is in 11.21(q21) format for the 1024 point */
+  /* output is in 9.23(q23) format for the 256 point */
+  /* output is in 7.25(q25) format for the 64 point */
+  /* output is in 5.27(q27) format for the 16 point */
+
+  /* End of last stage process */
+}
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c
new file mode 100644
index 0000000..ae74977
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c
@@ -0,0 +1,285 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_radix8_f32.c
+ * Description:  Radix-8 Decimation in Frequency CFFT & CIFFT Floating point processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+
+/* ----------------------------------------------------------------------
+ * Internal helper function used by the FFTs
+ * -------------------------------------------------------------------- */
+
+/**
+  brief         Core function for the floating-point CFFT butterfly process.
+  param[in,out] pSrc             points to the in-place buffer of floating-point data type.
+  param[in]     fftLen           length of the FFT.
+  param[in]     pCoef            points to the twiddle coefficient buffer.
+  param[in]     twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table.
+  return        none
+*/
+
+void arm_radix8_butterfly_f32(
+  float32_t * pSrc,
+  uint16_t fftLen,
+  const float32_t * pCoef,
+  uint16_t twidCoefModifier)
+{
+   uint32_t ia1, ia2, ia3, ia4, ia5, ia6, ia7;
+   uint32_t i1, i2, i3, i4, i5, i6, i7, i8;
+   uint32_t id;
+   uint32_t n1, n2, j;
+
+   float32_t r1, r2, r3, r4, r5, r6, r7, r8;
+   float32_t t1, t2;
+   float32_t s1, s2, s3, s4, s5, s6, s7, s8;
+   float32_t p1, p2, p3, p4;
+   float32_t co2, co3, co4, co5, co6, co7, co8;
+   float32_t si2, si3, si4, si5, si6, si7, si8;
+   const float32_t C81 = 0.70710678118f;
+
+   n2 = fftLen;
+
+   do
+   {
+      n1 = n2;
+      n2 = n2 >> 3;
+      i1 = 0;
+
+      do
+      {
+         i2 = i1 + n2;
+         i3 = i2 + n2;
+         i4 = i3 + n2;
+         i5 = i4 + n2;
+         i6 = i5 + n2;
+         i7 = i6 + n2;
+         i8 = i7 + n2;
+         r1 = pSrc[2 * i1] + pSrc[2 * i5];
+         r5 = pSrc[2 * i1] - pSrc[2 * i5];
+         r2 = pSrc[2 * i2] + pSrc[2 * i6];
+         r6 = pSrc[2 * i2] - pSrc[2 * i6];
+         r3 = pSrc[2 * i3] + pSrc[2 * i7];
+         r7 = pSrc[2 * i3] - pSrc[2 * i7];
+         r4 = pSrc[2 * i4] + pSrc[2 * i8];
+         r8 = pSrc[2 * i4] - pSrc[2 * i8];
+         t1 = r1 - r3;
+         r1 = r1 + r3;
+         r3 = r2 - r4;
+         r2 = r2 + r4;
+         pSrc[2 * i1] = r1 + r2;
+         pSrc[2 * i5] = r1 - r2;
+         r1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
+         s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
+         r2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
+         s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
+         s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
+         s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
+         r4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
+         s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
+         t2 = r1 - s3;
+         r1 = r1 + s3;
+         s3 = r2 - r4;
+         r2 = r2 + r4;
+         pSrc[2 * i1 + 1] = r1 + r2;
+         pSrc[2 * i5 + 1] = r1 - r2;
+         pSrc[2 * i3]     = t1 + s3;
+         pSrc[2 * i7]     = t1 - s3;
+         pSrc[2 * i3 + 1] = t2 - r3;
+         pSrc[2 * i7 + 1] = t2 + r3;
+         r1 = (r6 - r8) * C81;
+         r6 = (r6 + r8) * C81;
+         r2 = (s6 - s8) * C81;
+         s6 = (s6 + s8) * C81;
+         t1 = r5 - r1;
+         r5 = r5 + r1;
+         r8 = r7 - r6;
+         r7 = r7 + r6;
+         t2 = s5 - r2;
+         s5 = s5 + r2;
+         s8 = s7 - s6;
+         s7 = s7 + s6;
+         pSrc[2 * i2]     = r5 + s7;
+         pSrc[2 * i8]     = r5 - s7;
+         pSrc[2 * i6]     = t1 + s8;
+         pSrc[2 * i4]     = t1 - s8;
+         pSrc[2 * i2 + 1] = s5 - r7;
+         pSrc[2 * i8 + 1] = s5 + r7;
+         pSrc[2 * i6 + 1] = t2 - r8;
+         pSrc[2 * i4 + 1] = t2 + r8;
+
+         i1 += n1;
+      } while (i1 < fftLen);
+
+      if (n2 < 8)
+         break;
+
+      ia1 = 0;
+      j = 1;
+
+      do
+      {
+         /*  index calculation for the coefficients */
+         id  = ia1 + twidCoefModifier;
+         ia1 = id;
+         ia2 = ia1 + id;
+         ia3 = ia2 + id;
+         ia4 = ia3 + id;
+         ia5 = ia4 + id;
+         ia6 = ia5 + id;
+         ia7 = ia6 + id;
+
+         co2 = pCoef[2 * ia1];
+         co3 = pCoef[2 * ia2];
+         co4 = pCoef[2 * ia3];
+         co5 = pCoef[2 * ia4];
+         co6 = pCoef[2 * ia5];
+         co7 = pCoef[2 * ia6];
+         co8 = pCoef[2 * ia7];
+         si2 = pCoef[2 * ia1 + 1];
+         si3 = pCoef[2 * ia2 + 1];
+         si4 = pCoef[2 * ia3 + 1];
+         si5 = pCoef[2 * ia4 + 1];
+         si6 = pCoef[2 * ia5 + 1];
+         si7 = pCoef[2 * ia6 + 1];
+         si8 = pCoef[2 * ia7 + 1];
+
+         i1 = j;
+
+         do
+         {
+            /*  index calculation for the input */
+            i2 = i1 + n2;
+            i3 = i2 + n2;
+            i4 = i3 + n2;
+            i5 = i4 + n2;
+            i6 = i5 + n2;
+            i7 = i6 + n2;
+            i8 = i7 + n2;
+            r1 = pSrc[2 * i1] + pSrc[2 * i5];
+            r5 = pSrc[2 * i1] - pSrc[2 * i5];
+            r2 = pSrc[2 * i2] + pSrc[2 * i6];
+            r6 = pSrc[2 * i2] - pSrc[2 * i6];
+            r3 = pSrc[2 * i3] + pSrc[2 * i7];
+            r7 = pSrc[2 * i3] - pSrc[2 * i7];
+            r4 = pSrc[2 * i4] + pSrc[2 * i8];
+            r8 = pSrc[2 * i4] - pSrc[2 * i8];
+            t1 = r1 - r3;
+            r1 = r1 + r3;
+            r3 = r2 - r4;
+            r2 = r2 + r4;
+            pSrc[2 * i1] = r1 + r2;
+            r2 = r1 - r2;
+            s1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1];
+            s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1];
+            s2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1];
+            s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1];
+            s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1];
+            s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1];
+            s4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1];
+            s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1];
+            t2 = s1 - s3;
+            s1 = s1 + s3;
+            s3 = s2 - s4;
+            s2 = s2 + s4;
+            r1 = t1 + s3;
+            t1 = t1 - s3;
+            pSrc[2 * i1 + 1] = s1 + s2;
+            s2 = s1 - s2;
+            s1 = t2 - r3;
+            t2 = t2 + r3;
+            p1 = co5 * r2;
+            p2 = si5 * s2;
+            p3 = co5 * s2;
+            p4 = si5 * r2;
+            pSrc[2 * i5]     = p1 + p2;
+            pSrc[2 * i5 + 1] = p3 - p4;
+            p1 = co3 * r1;
+            p2 = si3 * s1;
+            p3 = co3 * s1;
+            p4 = si3 * r1;
+            pSrc[2 * i3]     = p1 + p2;
+            pSrc[2 * i3 + 1] = p3 - p4;
+            p1 = co7 * t1;
+            p2 = si7 * t2;
+            p3 = co7 * t2;
+            p4 = si7 * t1;
+            pSrc[2 * i7]     = p1 + p2;
+            pSrc[2 * i7 + 1] = p3 - p4;
+            r1 = (r6 - r8) * C81;
+            r6 = (r6 + r8) * C81;
+            s1 = (s6 - s8) * C81;
+            s6 = (s6 + s8) * C81;
+            t1 = r5 - r1;
+            r5 = r5 + r1;
+            r8 = r7 - r6;
+            r7 = r7 + r6;
+            t2 = s5 - s1;
+            s5 = s5 + s1;
+            s8 = s7 - s6;
+            s7 = s7 + s6;
+            r1 = r5 + s7;
+            r5 = r5 - s7;
+            r6 = t1 + s8;
+            t1 = t1 - s8;
+            s1 = s5 - r7;
+            s5 = s5 + r7;
+            s6 = t2 - r8;
+            t2 = t2 + r8;
+            p1 = co2 * r1;
+            p2 = si2 * s1;
+            p3 = co2 * s1;
+            p4 = si2 * r1;
+            pSrc[2 * i2]     = p1 + p2;
+            pSrc[2 * i2 + 1] = p3 - p4;
+            p1 = co8 * r5;
+            p2 = si8 * s5;
+            p3 = co8 * s5;
+            p4 = si8 * r5;
+            pSrc[2 * i8]     = p1 + p2;
+            pSrc[2 * i8 + 1] = p3 - p4;
+            p1 = co6 * r6;
+            p2 = si6 * s6;
+            p3 = co6 * s6;
+            p4 = si6 * r6;
+            pSrc[2 * i6]     = p1 + p2;
+            pSrc[2 * i6 + 1] = p3 - p4;
+            p1 = co4 * t1;
+            p2 = si4 * t2;
+            p3 = co4 * t2;
+            p4 = si4 * t1;
+            pSrc[2 * i4]     = p1 + p2;
+            pSrc[2 * i4 + 1] = p3 - p4;
+
+            i1 += n1;
+         } while (i1 < fftLen);
+
+         j++;
+      } while (j < n2);
+
+      twidCoefModifier <<= 3;
+   } while (n2 > 7);
+}
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c
new file mode 100644
index 0000000..729ebf1
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c
@@ -0,0 +1,448 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_dct4_f32.c
+ * Description:  Processing function of DCT4 & IDCT4 F32
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @defgroup DCT4_IDCT4 DCT Type IV Functions
+
+  Representation of signals by minimum number of values is important for storage and transmission.
+  The possibility of large discontinuity between the beginning and end of a period of a signal
+  in DFT can be avoided by extending the signal so that it is even-symmetric.
+  Discrete Cosine Transform (DCT) is constructed such that its energy is heavily concentrated in the lower part of the
+  spectrum and is very widely used in signal and image coding applications.
+  The family of DCTs (DCT type- 1,2,3,4) is the outcome of different combinations of homogeneous boundary conditions.
+  DCT has an excellent energy-packing capability, hence has many applications and in data compression in particular.
+  
+  DCT is essentially the Discrete Fourier Transform(DFT) of an even-extended real signal.
+  Reordering of the input data makes the computation of DCT just a problem of
+  computing the DFT of a real signal with a few additional operations.
+  This approach provides regular, simple, and very efficient DCT algorithms for practical hardware and software implementations.
+  
+  DCT type-II can be implemented using Fast fourier transform (FFT) internally, as the transform is applied on real values, Real FFT can be used.
+  DCT4 is implemented using DCT2 as their implementations are similar except with some added pre-processing and post-processing.
+  DCT2 implementation can be described in the following steps:
+  - Re-ordering input
+  - Calculating Real FFT
+  - Multiplication of weights and Real FFT output and getting real part from the product.
+  
+  This process is explained by the block diagram below:
+  \image html DCT4.gif "Discrete Cosine Transform - type-IV"
+ 
+  @par           Algorithm
+                   The N-point type-IV DCT is defined as a real, linear transformation by the formula:
+                   \image html DCT4Equation.gif
+                   where <code>k = 0, 1, 2, ..., N-1</code>
+  @par
+                   Its inverse is defined as follows:
+                   \image html IDCT4Equation.gif
+                   where <code>n = 0, 1, 2, ..., N-1</code>
+  @par
+                   The DCT4 matrices become involutory (i.e. they are self-inverse) by multiplying with an overall scale factor of sqrt(2/N).
+                   The symmetry of the transform matrix indicates that the fast algorithms for the forward
+                   and inverse transform computation are identical.
+                   Note that the implementation of Inverse DCT4 and DCT4 is same, hence same process function can be used for both.
+ 
+  @par           Lengths supported by the transform:
+                   As DCT4 internally uses Real FFT, it supports all the lengths 128, 512, 2048 and 8192.
+                   The library provides separate functions for Q15, Q31, and floating-point data types.
+
+  @par           Instance Structure
+                   The instances for Real FFT and FFT, cosine values table and twiddle factor table are stored in an instance data structure.
+                   A separate instance structure must be defined for each transform.
+                   There are separate instance structure declarations for each of the 3 supported data types.
+                 
+  @par           Initialization Functions
+                   There is also an associated initialization function for each data type.
+                   The initialization function performs the following operations:
+                   - Sets the values of the internal structure fields.
+                   - Initializes Real FFT as its process function is used internally in DCT4, by calling \ref arm_rfft_init_f32().
+  @par
+                   Use of the initialization function is optional.
+                   However, if the initialization function is used, then the instance structure cannot be placed into a const data section.
+                   To place an instance structure into a const data section, the instance structure must be manually initialized.
+                   Manually initialize the instance structure as follows:
+  <pre>
+      arm_dct4_instance_f32 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
+      arm_dct4_instance_q31 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
+      arm_dct4_instance_q15 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
+  </pre>
+                   where \c N is the length of the DCT4; \c Nby2 is half of the length of the DCT4;
+                   \c normalize is normalizing factor used and is equal to <code>sqrt(2/N)</code>;
+                   \c pTwiddle points to the twiddle factor table;
+                   \c pCosFactor points to the cosFactor table;
+                   \c pRfft points to the real FFT instance;
+                   \c pCfft points to the complex FFT instance;
+                   The CFFT and RFFT structures also needs to be initialized, refer to arm_cfft_radix4_f32()
+                   and arm_rfft_f32() respectively for details regarding static initialization.
+ 
+  @par           Fixed-Point Behavior
+                   Care must be taken when using the fixed-point versions of the DCT4 transform functions.
+                   In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+                   Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+  @addtogroup DCT4_IDCT4
+  @{
+ */
+
+/**
+  @brief         Processing function for the floating-point DCT4/IDCT4.
+  @param[in]     S             points to an instance of the floating-point DCT4/IDCT4 structure
+  @param[in]     pState        points to state buffer
+  @param[in,out] pInlineBuffer points to the in-place input and output buffer
+  @return        none
+ */
+
+void arm_dct4_f32(
+  const arm_dct4_instance_f32 * S,
+        float32_t * pState,
+        float32_t * pInlineBuffer)
+{
+  const float32_t *weights = S->pTwiddle;              /* Pointer to the Weights table */
+  const float32_t *cosFact = S->pCosFactor;            /* Pointer to the cos factors table */
+        float32_t *pS1, *pS2, *pbuff;                  /* Temporary pointers for input buffer and pState buffer */
+        float32_t in;                                  /* Temporary variable */
+        uint32_t i;                                    /* Loop counter */
+
+
+  /* DCT4 computation involves DCT2 (which is calculated using RFFT)
+   * along with some pre-processing and post-processing.
+   * Computational procedure is explained as follows:
+   * (a) Pre-processing involves multiplying input with cos factor,
+   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))
+   *              where,
+   *                 r(n) -- output of preprocessing
+   *                 u(n) -- input to preprocessing(actual Source buffer)
+   * (b) Calculation of DCT2 using FFT is divided into three steps:
+   *                  Step1: Re-ordering of even and odd elements of input.
+   *                  Step2: Calculating FFT of the re-ordered input.
+   *                  Step3: Taking the real part of the product of FFT output and weights.
+   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:
+   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+   *                        where,
+   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output
+   * (d) Multiplying the output with the normalizing factor sqrt(2/N).
+   */
+
+  /*-------- Pre-processing ------------*/
+  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
+  arm_scale_f32(pInlineBuffer, 2.0f, pInlineBuffer, S->N);
+  arm_mult_f32(pInlineBuffer, cosFact, pInlineBuffer, S->N);
+
+  /* ----------------------------------------------------------------
+   * Step1: Re-ordering of even and odd elements as
+   *             pState[i] =  pInlineBuffer[2*i] and
+   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2
+   ---------------------------------------------------------------------*/
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
+  pS2 = pState + (S->N - 1U);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
+  i = S->Nby2 >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  do
+  {
+    /* Re-ordering of even and odd elements */
+    /* pState[i] =  pInlineBuffer[2*i] */
+    *pS1++ = *pbuff++;
+    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    /* Decrement loop counter */
+    i--;
+  } while (i > 0U);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+  i = S->N >> 2U;
+
+  /* Processing with loop unrolling 4 times as N is always multiple of 4.
+   * Compute 4 outputs at a time */
+  do
+  {
+    /* Writing the re-ordered output back to inplace input buffer */
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+
+  /* ---------------------------------------------------------
+   *     Step2: Calculate RFFT for N-point input
+   * ---------------------------------------------------------- */
+  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+  arm_rfft_f32 (S->pRfft, pInlineBuffer, pState);
+
+  /*----------------------------------------------------------------------
+   *  Step3: Multiply the FFT output with the weights.
+   *----------------------------------------------------------------------*/
+  arm_cmplx_mult_cmplx_f32 (pState, weights, pState, S->N);
+
+  /* ----------- Post-processing ---------- */
+  /* DCT-IV can be obtained from DCT-II by the equation,
+   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+   *       Hence, Y4(0) = Y2(0)/2  */
+  /* Getting only real part from the output and Converting to DCT-IV */
+
+  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
+  i = (S->N - 1U) >> 2U;
+
+  /* pbuff initialized to input buffer. */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+  in = *pS1++ * (float32_t) 0.5;
+  /* input buffer acts as inplace, so output values are stored in the input itself. */
+  *pbuff++ = in;
+
+  /* pState pointer is incremented twice as the real values are located alternatively in the array */
+  pS1++;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  do
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    /* points to the next real value */
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  i = (S->N - 1U) % 0x4U;
+
+  while (i > 0U)
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+
+    /* points to the next real value */
+    pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  }
+
+
+  /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+  i = S->N >> 2U;
+
+  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
+  pbuff = pInlineBuffer;
+
+  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */
+  do
+  {
+    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+    in = *pbuff;
+    *pbuff++ = in * S->normalize;
+
+    in = *pbuff;
+    *pbuff++ = in * S->normalize;
+
+    in = *pbuff;
+    *pbuff++ = in * S->normalize;
+
+    in = *pbuff;
+    *pbuff++ = in * S->normalize;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+
+#else
+
+  /* Initializing the loop counter to N/2 */
+  i = S->Nby2;
+
+  do
+  {
+    /* Re-ordering of even and odd elements */
+    /* pState[i] =  pInlineBuffer[2*i] */
+    *pS1++ = *pbuff++;
+    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+    *pS2-- = *pbuff++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Initializing the loop counter */
+  i = S->N;
+
+  do
+  {
+    /* Writing the re-ordered output back to inplace input buffer */
+    *pbuff++ = *pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+
+  /* ---------------------------------------------------------
+   *     Step2: Calculate RFFT for N-point input
+   * ---------------------------------------------------------- */
+  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+  arm_rfft_f32 (S->pRfft, pInlineBuffer, pState);
+
+  /*----------------------------------------------------------------------
+   *  Step3: Multiply the FFT output with the weights.
+   *----------------------------------------------------------------------*/
+  arm_cmplx_mult_cmplx_f32 (pState, weights, pState, S->N);
+
+  /* ----------- Post-processing ---------- */
+  /* DCT-IV can be obtained from DCT-II by the equation,
+   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+   *       Hence, Y4(0) = Y2(0)/2  */
+  /* Getting only real part from the output and Converting to DCT-IV */
+
+  /* pbuff initialized to input buffer. */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+  in = *pS1++ * (float32_t) 0.5;
+  /* input buffer acts as inplace, so output values are stored in the input itself. */
+  *pbuff++ = in;
+
+  /* pState pointer is incremented twice as the real values are located alternatively in the array */
+  pS1++;
+
+  /* Initializing the loop counter */
+  i = (S->N - 1U);
+
+  do
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+
+    /* points to the next real value */
+    pS1++;
+
+    /* Decrement loop counter */
+    i--;
+  } while (i > 0U);
+
+  /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+  /* Initializing loop counter */
+  i = S->N;
+
+  /* pbuff initialized to the pInlineBuffer (now contains the output values) */
+  pbuff = pInlineBuffer;
+
+  do
+  {
+    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+    in = *pbuff;
+    *pbuff++ = in * S->normalize;
+
+    /* Decrement loop counter */
+    i--;
+  } while (i > 0U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+}
+
+/**
+  @} end of DCT4_IDCT4 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c
new file mode 100644
index 0000000..7522454
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c
@@ -0,0 +1,131 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_dct4_init_f32.c
+ * Description:  Initialization function of DCT-4 & IDCT4 F32
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup DCT4_IDCT4
+ */
+
+
+/**
+  @addtogroup DCT4_IDCT4
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point DCT4/IDCT4.
+  @param[in,out] S          points to an instance of floating-point DCT4/IDCT4 structure
+  @param[in]     S_RFFT     points to an instance of floating-point RFFT/RIFFT structure
+  @param[in]     S_CFFT     points to an instance of floating-point CFFT/CIFFT structure
+  @param[in]     N			length of the DCT4
+  @param[in]     Nby2       half of the length of the DCT4
+  @param[in]     normalize  normalizing factor.
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>N</code> is not a supported transform length
+
+  @par           Normalizing factor
+                   The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>.
+                   Floating-point normalizing factors are mentioned in the table below for different DCT sizes:
+
+                   \image html dct4NormalizingF32Table.gif
+ */
+
+arm_status arm_dct4_init_f32(
+  arm_dct4_instance_f32 * S,
+  arm_rfft_instance_f32 * S_RFFT,
+  arm_cfft_radix4_instance_f32 * S_CFFT,
+  uint16_t N,
+  uint16_t Nby2,
+  float32_t normalize)
+{
+  /* Initialize the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+
+  /* Initialize the DCT4 length */
+  S->N = N;
+
+  /* Initialize the half of DCT4 length */
+  S->Nby2 = Nby2;
+
+  /* Initialize the DCT4 Normalizing factor */
+  S->normalize = normalize;
+
+  /* Initialize Real FFT Instance */
+  S->pRfft = S_RFFT;
+
+  /* Initialize Complex FFT Instance */
+  S->pCfft = S_CFFT;
+
+  switch (N)
+  {
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_8192)
+    /* Initialize the table modifier values */
+  case 8192U:
+    S->pTwiddle = Weights_8192;
+    S->pCosFactor = cos_factors_8192;
+    break;
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_2048)
+  case 2048U:
+    S->pTwiddle = Weights_2048;
+    S->pCosFactor = cos_factors_2048;
+    break;
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_512)
+  case 512U:
+    S->pTwiddle = Weights_512;
+    S->pCosFactor = cos_factors_512;
+    break;
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_F32_128)
+  case 128U:
+    S->pTwiddle = Weights_128;
+    S->pCosFactor = cos_factors_128;
+    break;
+  #endif
+  default:
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+
+  /* Initialize the RFFT/RIFFT Function */
+  arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0U, 1U);
+
+  /* return the status of DCT4 Init function */
+  return (status);
+}
+
+/**
+  @} end of DCT4_IDCT4 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c
new file mode 100644
index 0000000..c5d834a
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c
@@ -0,0 +1,130 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_dct4_init_q15.c
+ * Description:  Initialization function of DCT-4 & IDCT4 Q15
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup DCT4_IDCT4
+ */
+
+/**
+  @addtogroup DCT4_IDCT4
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q15 DCT4/IDCT4.
+  @param[in,out] S         points to an instance of Q15 DCT4/IDCT4 structure
+  @param[in]     S_RFFT    points to an instance of Q15 RFFT/RIFFT structure
+  @param[in]     S_CFFT    points to an instance of Q15 CFFT/CIFFT structure
+  @param[in]     N          length of the DCT4
+  @param[in]     Nby2       half of the length of the DCT4
+  @param[in]     normalize  normalizing factor
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>N</code> is not a supported transform length
+
+  @par           Normalizing factor
+                   The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>.
+                   Normalizing factors in 1.15 format are mentioned in the table below for different DCT sizes:
+
+                   \image html dct4NormalizingQ15Table.gif
+ */
+
+arm_status arm_dct4_init_q15(
+  arm_dct4_instance_q15 * S,
+  arm_rfft_instance_q15 * S_RFFT,
+  arm_cfft_radix4_instance_q15 * S_CFFT,
+  uint16_t N,
+  uint16_t Nby2,
+  q15_t normalize)
+{
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /* Initialize the DCT4 length */
+  S->N = N;
+
+  /* Initialize the half of DCT4 length */
+  S->Nby2 = Nby2;
+
+  /* Initialize the DCT4 Normalizing factor */
+  S->normalize = normalize;
+
+  /* Initialize Real FFT Instance */
+  S->pRfft = S_RFFT;
+
+  /* Initialize Complex FFT Instance */
+  S->pCfft = S_CFFT;
+
+  switch (N)
+  {
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_8192)
+    /* Initialize the table modifier values */
+  case 8192U:
+    S->pTwiddle = WeightsQ15_8192;
+    S->pCosFactor = cos_factorsQ15_8192;
+    break;
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_2048)
+  case 2048U:
+    S->pTwiddle = WeightsQ15_2048;
+    S->pCosFactor = cos_factorsQ15_2048;
+    break;
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_512)
+  case 512U:
+    S->pTwiddle = WeightsQ15_512;
+    S->pCosFactor = cos_factorsQ15_512;
+    break;
+  #endif 
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q15_128)
+  case 128U:
+    S->pTwiddle = WeightsQ15_128;
+    S->pCosFactor = cos_factorsQ15_128;
+    break;
+  #endif 
+
+  default:
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+
+  /* Initialize the RFFT/RIFFT */
+  arm_rfft_init_q15(S->pRfft, S->N, 0U, 1U);
+
+  /* return the status of DCT4 Init function */
+  return (status);
+}
+
+/**
+  @} end of DCT4_IDCT4 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c
new file mode 100644
index 0000000..c0294d7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c
@@ -0,0 +1,130 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_dct4_init_q31.c
+ * Description:  Initialization function of DCT-4 & IDCT4 Q31
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup DCT4_IDCT4
+ */
+
+
+/**
+  @addtogroup DCT4_IDCT4
+  @{
+ */
+
+/**
+  @brief  Initialization function for the Q31 DCT4/IDCT4.
+  @param[in,out] S          points to an instance of Q31 DCT4/IDCT4 structure.
+  @param[in]     S_RFFT     points to an instance of Q31 RFFT/RIFFT structure
+  @param[in]     S_CFFT     points to an instance of Q31 CFFT/CIFFT structure
+  @param[in]     N          length of the DCT4.
+  @param[in]     Nby2       half of the length of the DCT4.
+  @param[in]     normalize  normalizing factor.
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>N</code> is not a supported transform length
+
+  @par           Normalizing factor:
+                   The normalizing factor is <code>sqrt(2/N)</code>, which depends on the size of transform <code>N</code>.
+                   Normalizing factors in 1.31 format are mentioned in the table below for different DCT sizes:
+
+                   \image html dct4NormalizingQ31Table.gif
+ */
+
+arm_status arm_dct4_init_q31(
+  arm_dct4_instance_q31 * S,
+  arm_rfft_instance_q31 * S_RFFT,
+  arm_cfft_radix4_instance_q31 * S_CFFT,
+  uint16_t N,
+  uint16_t Nby2,
+  q31_t normalize)
+{
+  /* Initialize the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /* Initialize the DCT4 length */
+  S->N = N;
+
+  /* Initialize the half of DCT4 length */
+  S->Nby2 = Nby2;
+
+  /* Initialize the DCT4 Normalizing factor */
+  S->normalize = normalize;
+
+  /* Initialize Real FFT Instance */
+  S->pRfft = S_RFFT;
+
+  /* Initialize Complex FFT Instance */
+  S->pCfft = S_CFFT;
+
+  switch (N)
+  {
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_8192)
+    /* Initialize the table modifier values */
+  case 8192U:
+    S->pTwiddle = WeightsQ31_8192;
+    S->pCosFactor = cos_factorsQ31_8192;
+    break;
+  #endif
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_2048)
+  case 2048U:
+    S->pTwiddle = WeightsQ31_2048;
+    S->pCosFactor = cos_factorsQ31_2048;
+    break;
+  #endif 
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_512)
+  case 512U:
+    S->pTwiddle = WeightsQ31_512;
+    S->pCosFactor = cos_factorsQ31_512;
+    break;
+  #endif 
+
+  #if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || defined(ARM_TABLE_DCT4_Q31_128)
+  case 128U:
+    S->pTwiddle = WeightsQ31_128;
+    S->pCosFactor = cos_factorsQ31_128;
+    break;
+  #endif
+  default:
+    status = ARM_MATH_ARGUMENT_ERROR;
+  }
+
+  /* Initialize the RFFT/RIFFT Function */
+  arm_rfft_init_q31(S->pRfft,  S->N, 0U, 1U);
+
+  /* return the status of DCT4 Init function */
+  return (status);
+}
+
+/**
+  @} end of DCT4_IDCT4 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c
new file mode 100644
index 0000000..ba26300
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c
@@ -0,0 +1,381 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_dct4_q15.c
+ * Description:  Processing function of DCT4 & IDCT4 Q15
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @addtogroup DCT4_IDCT4
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q15 DCT4/IDCT4.
+  @param[in]     S             points to an instance of the Q15 DCT4 structure.
+  @param[in]     pState        points to state buffer.
+  @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+  @return        none
+ 
+  @par           Input an output formats
+                   Internally inputs are downscaled in the RFFT process function to avoid overflows.
+                   Number of bits downscaled, depends on the size of the transform. The input and output
+                   formats for different DCT sizes and number of bits to upscale are mentioned in the table below:
+
+                   \image html dct4FormatsQ15Table.gif
+ */
+
+void arm_dct4_q15(
+  const arm_dct4_instance_q15 * S,
+        q15_t * pState,
+        q15_t * pInlineBuffer)
+{
+  const q15_t *weights = S->pTwiddle;                  /* Pointer to the Weights table */
+  const q15_t *cosFact = S->pCosFactor;                /* Pointer to the cos factors table */
+        q15_t *pS1, *pS2, *pbuff;                      /* Temporary pointers for input buffer and pState buffer */
+        q15_t in;                                      /* Temporary variable */
+        uint32_t i;                                    /* Loop counter */
+
+
+  /* DCT4 computation involves DCT2 (which is calculated using RFFT)
+   * along with some pre-processing and post-processing.
+   * Computational procedure is explained as follows:
+   * (a) Pre-processing involves multiplying input with cos factor,
+   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))
+   *              where,
+   *                 r(n) -- output of preprocessing
+   *                 u(n) -- input to preprocessing(actual Source buffer)
+   * (b) Calculation of DCT2 using FFT is divided into three steps:
+   *                  Step1: Re-ordering of even and odd elements of input.
+   *                  Step2: Calculating FFT of the re-ordered input.
+   *                  Step3: Taking the real part of the product of FFT output and weights.
+   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:
+   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+   *                        where,
+   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output
+   * (d) Multiplying the output with the normalizing factor sqrt(2/N).
+   */
+
+  /*-------- Pre-processing ------------*/
+  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
+  arm_mult_q15 (pInlineBuffer, cosFact, pInlineBuffer, S->N);
+  arm_shift_q15 (pInlineBuffer, 1, pInlineBuffer, S->N);
+
+  /* ----------------------------------------------------------------
+   * Step1: Re-ordering of even and odd elements as
+   *             pState[i] =  pInlineBuffer[2*i] and
+   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2
+   ---------------------------------------------------------------------*/
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
+  pS2 = pState + (S->N - 1U);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
+  i = S->Nby2 >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  do
+  {
+    /* Re-ordering of even and odd elements */
+    /* pState[i] =  pInlineBuffer[2*i] */
+    *pS1++ = *pbuff++;
+    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    /* Decrement loop counter */
+    i--;
+  } while (i > 0U);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+  i = S->N >> 2U;
+
+  /* Processing with loop unrolling 4 times as N is always multiple of 4.
+   * Compute 4 outputs at a time */
+  do
+  {
+    /* Writing the re-ordered output back to inplace input buffer */
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+
+  /* ---------------------------------------------------------
+   *     Step2: Calculate RFFT for N-point input
+   * ---------------------------------------------------------- */
+  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+  arm_rfft_q15 (S->pRfft, pInlineBuffer, pState);
+
+  /*----------------------------------------------------------------------
+   *  Step3: Multiply the FFT output with the weights.
+   *----------------------------------------------------------------------*/
+  arm_cmplx_mult_cmplx_q15 (pState, weights, pState, S->N);
+
+  /* The output of complex multiplication is in 3.13 format.
+   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
+  arm_shift_q15 (pState, 2, pState, S->N * 2);
+
+  /* ----------- Post-processing ---------- */
+  /* DCT-IV can be obtained from DCT-II by the equation,
+   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+   *       Hence, Y4(0) = Y2(0)/2  */
+  /* Getting only real part from the output and Converting to DCT-IV */
+
+  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
+  i = (S->N - 1U) >> 2U;
+
+  /* pbuff initialized to input buffer. */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+  in = *pS1++ >> 1U;
+  /* input buffer acts as inplace, so output values are stored in the input itself. */
+  *pbuff++ = in;
+
+  /* pState pointer is incremented twice as the real values are located alternatively in the array */
+  pS1++;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  do
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    /* points to the next real value */
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  i = (S->N - 1U) % 0x4U;
+
+  while (i > 0U)
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+
+    /* points to the next real value */
+    pS1++;
+
+    /* Decrement loop counter */
+    i--;
+  }
+
+
+  /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+  i = S->N >> 2U;
+
+  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
+  pbuff = pInlineBuffer;
+
+  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */
+  do
+  {
+    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+    in = *pbuff;
+    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+    in = *pbuff;
+    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+    in = *pbuff;
+    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+    in = *pbuff;
+    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+    /* Decrement loop counter */
+    i--;
+  } while (i > 0U);
+
+
+#else
+
+  /* Initializing the loop counter to N/2 */
+  i = S->Nby2;
+
+  do
+  {
+    /* Re-ordering of even and odd elements */
+    /* pState[i] =  pInlineBuffer[2*i] */
+    *pS1++ = *pbuff++;
+    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+    *pS2-- = *pbuff++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Initializing the loop counter */
+  i = S->N;
+
+  do
+  {
+    /* Writing the re-ordered output back to inplace input buffer */
+    *pbuff++ = *pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+
+  /* ---------------------------------------------------------
+   *     Step2: Calculate RFFT for N-point input
+   * ---------------------------------------------------------- */
+  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+  arm_rfft_q15 (S->pRfft, pInlineBuffer, pState);
+
+  /*----------------------------------------------------------------------
+   *  Step3: Multiply the FFT output with the weights.
+   *----------------------------------------------------------------------*/
+  arm_cmplx_mult_cmplx_q15 (pState, weights, pState, S->N);
+
+  /* The output of complex multiplication is in 3.13 format.
+   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */
+  arm_shift_q15 (pState, 2, pState, S->N * 2);
+
+  /* ----------- Post-processing ---------- */
+  /* DCT-IV can be obtained from DCT-II by the equation,
+   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+   *       Hence, Y4(0) = Y2(0)/2  */
+  /* Getting only real part from the output and Converting to DCT-IV */
+
+  /* pbuff initialized to input buffer. */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+  in = *pS1++ >> 1U;
+  /* input buffer acts as inplace, so output values are stored in the input itself. */
+  *pbuff++ = in;
+
+  /* pState pointer is incremented twice as the real values are located alternatively in the array */
+  pS1++;
+
+  /* Initializing the loop counter */
+  i = (S->N - 1U);
+
+  do
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+
+    /* points to the next real value */
+    pS1++;
+
+    /* Decrement loop counter */
+    i--;
+  } while (i > 0U);
+
+  /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+  /* Initializing loop counter */
+  i = S->N;
+
+  /* pbuff initialized to the pInlineBuffer (now contains the output values) */
+  pbuff = pInlineBuffer;
+
+  do
+  {
+    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+    in = *pbuff;
+    *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15));
+
+    /* Decrement loop counter */
+    i--;
+
+  } while (i > 0U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+}
+
+/**
+  @} end of DCT4_IDCT4 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c
new file mode 100644
index 0000000..5757083
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c
@@ -0,0 +1,383 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_dct4_q31.c
+ * Description:  Processing function of DCT4 & IDCT4 Q31
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+  @addtogroup DCT4_IDCT4
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 DCT4/IDCT4.
+  @param[in]     S             points to an instance of the Q31 DCT4 structure.
+  @param[in]     pState        points to state buffer.
+  @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+  @return        none
+
+  @par           Input an output formats
+                   Input samples need to be downscaled by 1 bit to avoid saturations in the Q31 DCT process,
+                   as the conversion from DCT2 to DCT4 involves one subtraction.
+                   Internally inputs are downscaled in the RFFT process function to avoid overflows.
+                   Number of bits downscaled, depends on the size of the transform.
+                   The input and output formats for different DCT sizes and number of bits to upscale are
+                   mentioned in the table below:
+
+                   \image html dct4FormatsQ31Table.gif
+ */
+
+void arm_dct4_q31(
+  const arm_dct4_instance_q31 * S,
+        q31_t * pState,
+        q31_t * pInlineBuffer)
+{
+  const q31_t *weights = S->pTwiddle;                  /* Pointer to the Weights table */
+  const q31_t *cosFact = S->pCosFactor;                /* Pointer to the cos factors table */
+        q31_t *pS1, *pS2, *pbuff;                      /* Temporary pointers for input buffer and pState buffer */
+        q31_t in;                                      /* Temporary variable */
+        uint32_t i;                                    /* Loop counter */
+
+
+  /* DCT4 computation involves DCT2 (which is calculated using RFFT)
+   * along with some pre-processing and post-processing.
+   * Computational procedure is explained as follows:
+   * (a) Pre-processing involves multiplying input with cos factor,
+   *     r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n))
+   *              where,
+   *                 r(n) -- output of preprocessing
+   *                 u(n) -- input to preprocessing(actual Source buffer)
+   * (b) Calculation of DCT2 using FFT is divided into three steps:
+   *                  Step1: Re-ordering of even and odd elements of input.
+   *                  Step2: Calculating FFT of the re-ordered input.
+   *                  Step3: Taking the real part of the product of FFT output and weights.
+   * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation:
+   *                   Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+   *                        where,
+   *                           Y4 -- DCT4 output,   Y2 -- DCT2 output
+   * (d) Multiplying the output with the normalizing factor sqrt(2/N).
+   */
+
+  /*-------- Pre-processing ------------*/
+  /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */
+  arm_mult_q31 (pInlineBuffer, cosFact, pInlineBuffer, S->N);
+  arm_shift_q31 (pInlineBuffer, 1, pInlineBuffer, S->N);
+
+  /* ----------------------------------------------------------------
+   * Step1: Re-ordering of even and odd elements as
+   *             pState[i] =  pInlineBuffer[2*i] and
+   *             pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2
+   ---------------------------------------------------------------------*/
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */
+  pS2 = pState + (S->N - 1U);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+
+#if defined (ARM_MATH_LOOPUNROLL)
+
+  /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */
+  i = S->Nby2 >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  do
+  {
+    /* Re-ordering of even and odd elements */
+    /* pState[i] =  pInlineBuffer[2*i] */
+    *pS1++ = *pbuff++;
+    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    *pS1++ = *pbuff++;
+    *pS2-- = *pbuff++;
+
+    /* Decrement loop counter */
+    i--;
+  } while (i > 0U);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+  i = S->N >> 2U;
+
+  /* Processing with loop unrolling 4 times as N is always multiple of 4.
+   * Compute 4 outputs at a time */
+  do
+  {
+    /* Writing the re-ordered output back to inplace input buffer */
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+    *pbuff++ = *pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+
+  /* ---------------------------------------------------------
+   *     Step2: Calculate RFFT for N-point input
+   * ---------------------------------------------------------- */
+  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+  arm_rfft_q31 (S->pRfft, pInlineBuffer, pState);
+
+  /*----------------------------------------------------------------------
+   *  Step3: Multiply the FFT output with the weights.
+   *----------------------------------------------------------------------*/
+  arm_cmplx_mult_cmplx_q31 (pState, weights, pState, S->N);
+
+  /* The output of complex multiplication is in 3.29 format.
+   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */
+  arm_shift_q31 (pState, 2, pState, S->N * 2);
+
+  /* ----------- Post-processing ---------- */
+  /* DCT-IV can be obtained from DCT-II by the equation,
+   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+   *       Hence, Y4(0) = Y2(0)/2  */
+  /* Getting only real part from the output and Converting to DCT-IV */
+
+  /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */
+  i = (S->N - 1U) >> 2U;
+
+  /* pbuff initialized to input buffer. */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+  in = *pS1++ >> 1U;
+  /* input buffer acts as inplace, so output values are stored in the input itself. */
+  *pbuff++ = in;
+
+  /* pState pointer is incremented twice as the real values are located alternatively in the array */
+  pS1++;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  do
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    /* points to the next real value */
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    in = *pS1++ - in;
+    *pbuff++ = in;
+    pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  i = (S->N - 1U) % 0x4U;
+
+  while (i > 0U)
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+
+    /* points to the next real value */
+    pS1++;
+
+    /* Decrement loop counter */
+    i--;
+  }
+
+
+  /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+  /* Initializing the loop counter to N/4 instead of N for loop unrolling */
+  i = S->N >> 2U;
+
+  /* pbuff initialized to the pInlineBuffer(now contains the output values) */
+  pbuff = pInlineBuffer;
+
+  /* Processing with loop unrolling 4 times as N is always multiple of 4.  Compute 4 outputs at a time */
+  do
+  {
+    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+    in = *pbuff;
+    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+    in = *pbuff;
+    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+    in = *pbuff;
+    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+    in = *pbuff;
+    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+    /* Decrement loop counter */
+    i--;
+  } while (i > 0U);
+
+
+#else
+
+  /* Initializing the loop counter to N/2 */
+  i = S->Nby2;
+
+  do
+  {
+    /* Re-ordering of even and odd elements */
+    /* pState[i] =  pInlineBuffer[2*i] */
+    *pS1++ = *pbuff++;
+    /* pState[N-i-1] = pInlineBuffer[2*i+1] */
+    *pS2-- = *pbuff++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+  /* pbuff initialized to input buffer */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Initializing the loop counter */
+  i = S->N;
+
+  do
+  {
+    /* Writing the re-ordered output back to inplace input buffer */
+    *pbuff++ = *pS1++;
+
+    /* Decrement the loop counter */
+    i--;
+  } while (i > 0U);
+
+
+  /* ---------------------------------------------------------
+   *     Step2: Calculate RFFT for N-point input
+   * ---------------------------------------------------------- */
+  /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */
+  arm_rfft_q31 (S->pRfft, pInlineBuffer, pState);
+
+  /*----------------------------------------------------------------------
+   *  Step3: Multiply the FFT output with the weights.
+   *----------------------------------------------------------------------*/
+  arm_cmplx_mult_cmplx_q31 (pState, weights, pState, S->N);
+
+  /* The output of complex multiplication is in 3.29 format.
+   * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */
+  arm_shift_q31(pState, 2, pState, S->N * 2);
+
+  /* ----------- Post-processing ---------- */
+  /* DCT-IV can be obtained from DCT-II by the equation,
+   *       Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0)
+   *       Hence, Y4(0) = Y2(0)/2  */
+  /* Getting only real part from the output and Converting to DCT-IV */
+
+  /* pbuff initialized to input buffer. */
+  pbuff = pInlineBuffer;
+
+  /* pS1 initialized to pState */
+  pS1 = pState;
+
+  /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */
+  in = *pS1++ >> 1U;
+  /* input buffer acts as inplace, so output values are stored in the input itself. */
+  *pbuff++ = in;
+
+  /* pState pointer is incremented twice as the real values are located alternatively in the array */
+  pS1++;
+
+  /* Initializing the loop counter */
+  i = (S->N - 1U);
+
+  while (i > 0U)
+  {
+    /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */
+    /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */
+    in = *pS1++ - in;
+    *pbuff++ = in;
+
+    /* points to the next real value */
+    pS1++;
+
+    /* Decrement loop counter */
+    i--;
+  }
+
+  /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/
+
+  /* Initializing loop counter */
+  i = S->N;
+
+  /* pbuff initialized to the pInlineBuffer (now contains the output values) */
+  pbuff = pInlineBuffer;
+
+  do
+  {
+    /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */
+    in = *pbuff;
+    *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31));
+
+    /* Decrement loop counter */
+    i--;
+  } while (i > 0U);
+
+#endif /* #if defined (ARM_MATH_LOOPUNROLL) */
+
+}
+
+/**
+  @} end of DCT4_IDCT4 group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c
new file mode 100644
index 0000000..2ad336d
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c
@@ -0,0 +1,309 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rfft_f32.c
+ * Description:  RFFT & RIFFT Floating point process function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+ * Internal functions prototypes
+ * -------------------------------------------------------------------- */
+
+extern void arm_radix4_butterfly_f32(
+        float32_t * pSrc,
+        uint16_t fftLen,
+  const float32_t * pCoef,
+        uint16_t twidCoefModifier);
+
+extern void arm_radix4_butterfly_inverse_f32(
+        float32_t * pSrc,
+        uint16_t fftLen,
+  const float32_t * pCoef,
+        uint16_t twidCoefModifier,
+        float32_t onebyfftLen);
+
+extern void arm_bitreversal_f32(
+        float32_t * pSrc,
+        uint16_t fftSize,
+        uint16_t bitRevFactor,
+  const uint16_t * pBitRevTab);
+
+void arm_split_rfft_f32(
+        float32_t * pSrc,
+        uint32_t fftLen,
+  const float32_t * pATable,
+  const float32_t * pBTable,
+        float32_t * pDst,
+        uint32_t modifier);
+
+void arm_split_rifft_f32(
+        float32_t * pSrc,
+        uint32_t fftLen,
+  const float32_t * pATable,
+  const float32_t * pBTable,
+        float32_t * pDst,
+        uint32_t modifier);
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup RealFFT
+  @{
+ */
+
+/**
+  @brief         Processing function for the floating-point RFFT/RIFFT.
+  @deprecated    Do not use this function.  It has been superceded by \ref arm_rfft_fast_f32 and will be removed in the future.
+  @param[in]     S    points to an instance of the floating-point RFFT/RIFFT structure
+  @param[in]     pSrc points to the input buffer
+  @param[out]    pDst points to the output buffer
+  @return        none
+ */
+
+void arm_rfft_f32(
+  const arm_rfft_instance_f32 * S,
+        float32_t * pSrc,
+        float32_t * pDst)
+{
+  const arm_cfft_radix4_instance_f32 *S_CFFT = S->pCfft;
+
+  /* Calculation of Real IFFT of input */
+  if (S->ifftFlagR == 1U)
+  {
+     /*  Real IFFT core process */
+     arm_split_rifft_f32 (pSrc, S->fftLenBy2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+
+
+     /* Complex radix-4 IFFT process */
+     arm_radix4_butterfly_inverse_f32 (pDst, S_CFFT->fftLen, S_CFFT->pTwiddle, S_CFFT->twidCoefModifier, S_CFFT->onebyfftLen);
+
+    /* Bit reversal process */
+    if (S->bitReverseFlagR == 1U)
+    {
+      arm_bitreversal_f32 (pDst, S_CFFT->fftLen, S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
+    }
+  }
+  else
+  {
+    /* Calculation of RFFT of input */
+
+    /* Complex radix-4 FFT process */
+    arm_radix4_butterfly_f32 (pSrc, S_CFFT->fftLen, S_CFFT->pTwiddle, S_CFFT->twidCoefModifier);
+
+    /* Bit reversal process */
+    if (S->bitReverseFlagR == 1U)
+    {
+      arm_bitreversal_f32 (pSrc, S_CFFT->fftLen, S_CFFT->bitRevFactor, S_CFFT->pBitRevTable);
+    }
+
+    /*  Real FFT core process */
+    arm_split_rfft_f32 (pSrc, S->fftLenBy2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+  }
+
+}
+
+/**
+  @} end of RealFFT group
+ */
+
+/**
+  @brief         Core Real FFT process
+  @param[in]     pSrc      points to input buffer
+  @param[in]     fftLen    length of FFT
+  @param[in]     pATable   points to twiddle Coef A buffer
+  @param[in]     pBTable   points to twiddle Coef B buffer
+  @param[out]    pDst      points to output buffer
+  @param[in]     modifier  twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+  @return        none
+ */
+
+void arm_split_rfft_f32(
+        float32_t * pSrc,
+        uint32_t fftLen,
+  const float32_t * pATable,
+  const float32_t * pBTable,
+        float32_t * pDst,
+        uint32_t modifier)
+{
+        uint32_t i;                                    /* Loop Counter */
+        float32_t outR, outI;                          /* Temporary variables for output */
+  const float32_t *pCoefA, *pCoefB;                    /* Temporary pointers for twiddle factors */
+        float32_t CoefA1, CoefA2, CoefB1;              /* Temporary variables for twiddle coefficients */
+        float32_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4U * fftLen) - 1U];      /* temp pointers for output buffer */
+        float32_t *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2U * fftLen) - 1U];      /* temp pointers for input buffer */
+
+  /* Init coefficient pointers */
+  pCoefA = &pATable[modifier * 2];
+  pCoefB = &pBTable[modifier * 2];
+
+  i = fftLen - 1U;
+
+  while (i > 0U)
+  {
+     /*
+       outR = (  pSrc[2 * i]             * pATable[2 * i]
+               - pSrc[2 * i + 1]         * pATable[2 * i + 1]
+               + pSrc[2 * n - 2 * i]     * pBTable[2 * i]
+               + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+
+       outI = (  pIn[2 * i + 1]         * pATable[2 * i]
+               + pIn[2 * i]             * pATable[2 * i + 1]
+               + pIn[2 * n - 2 * i]     * pBTable[2 * i + 1]
+               - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
+      */
+
+    /* read pATable[2 * i] */
+    CoefA1 = *pCoefA++;
+    /* pATable[2 * i + 1] */
+    CoefA2 = *pCoefA;
+
+    /* pSrc[2 * i] * pATable[2 * i] */
+    outR = *pSrc1 * CoefA1;
+    /* pSrc[2 * i] * CoefA2 */
+    outI = *pSrc1++ * CoefA2;
+
+    /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
+    outR -= (*pSrc1 + *pSrc2) * CoefA2;
+    /* pSrc[2 * i + 1] * CoefA1 */
+    outI += *pSrc1++ * CoefA1;
+
+    CoefB1 = *pCoefB;
+
+    /* pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
+    outI -= *pSrc2-- * CoefB1;
+    /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
+    outI -= *pSrc2 * CoefA2;
+
+    /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
+    outR += *pSrc2-- * CoefB1;
+
+    /* write output */
+    *pDst1++ = outR;
+    *pDst1++ = outI;
+
+    /* write complex conjugate output */
+    *pDst2-- = -outI;
+    *pDst2-- = outR;
+
+    /* update coefficient pointer */
+    pCoefB = pCoefB + (modifier * 2U);
+    pCoefA = pCoefA + ((modifier * 2U) - 1U);
+
+    i--;
+
+  }
+
+  pDst[2U * fftLen] = pSrc[0] - pSrc[1];
+  pDst[(2U * fftLen) + 1U] = 0.0f;
+
+  pDst[0] = pSrc[0] + pSrc[1];
+  pDst[1] = 0.0f;
+
+}
+
+
+/**
+  @brief         Core Real IFFT process
+  @param[in]     pSrc      points to input buffer
+  @param[in]     fftLen    length of FFT
+  @param[in]     pATable   points to twiddle Coef A buffer
+  @param[in]     pBTable   points to twiddle Coef B buffer
+  @param[out]    pDst      points to output buffer
+  @param[in]     modifier  twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+  @return        none
+ */
+
+void arm_split_rifft_f32(
+        float32_t * pSrc,
+        uint32_t fftLen,
+  const float32_t * pATable,
+  const float32_t * pBTable,
+        float32_t * pDst,
+        uint32_t modifier)
+{
+        float32_t outR, outI;                          /* Temporary variables for output */
+  const float32_t *pCoefA, *pCoefB;                    /* Temporary pointers for twiddle factors */
+        float32_t CoefA1, CoefA2, CoefB1;              /* Temporary variables for twiddle coefficients */
+        float32_t *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2U * fftLen) + 1U];
+
+  pCoefA = &pATable[0];
+  pCoefB = &pBTable[0];
+
+  while (fftLen > 0U)
+  {
+     /*
+       outR = (  pIn[2 * i]             * pATable[2 * i]
+               + pIn[2 * i + 1]         * pATable[2 * i + 1]
+               + pIn[2 * n - 2 * i]     * pBTable[2 * i]
+               - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+
+       outI = (  pIn[2 * i + 1]         * pATable[2 * i]
+               - pIn[2 * i]             * pATable[2 * i + 1]
+               - pIn[2 * n - 2 * i]     * pBTable[2 * i + 1]
+               - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
+      */
+
+     CoefA1 = *pCoefA++;
+     CoefA2 = *pCoefA;
+
+     /* outR = (pSrc[2 * i] * CoefA1 */
+     outR = *pSrc1 * CoefA1;
+
+     /* - pSrc[2 * i] * CoefA2 */
+     outI = -(*pSrc1++) * CoefA2;
+
+     /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */
+     outR += (*pSrc1 + *pSrc2) * CoefA2;
+
+     /* pSrc[2 * i + 1] * CoefA1 */
+     outI += (*pSrc1++) * CoefA1;
+
+     CoefB1 = *pCoefB;
+
+     /* - pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */
+     outI -= *pSrc2-- * CoefB1;
+
+     /* pSrc[2 * fftLen - 2 * i] * CoefB1 */
+     outR += *pSrc2 * CoefB1;
+
+     /* pSrc[2 * fftLen - 2 * i] * CoefA2 */
+     outI += *pSrc2-- * CoefA2;
+
+     /* write output */
+     *pDst++ = outR;
+     *pDst++ = outI;
+
+     /* update coefficient pointer */
+     pCoefB = pCoefB + (modifier * 2);
+     pCoefA = pCoefA + (modifier * 2 - 1);
+
+     /* Decrement loop count */
+     fftLen--;
+  }
+
+}
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c
new file mode 100644
index 0000000..ebaa7d9
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c
@@ -0,0 +1,320 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rfft_f32.c
+ * Description:  RFFT & RIFFT Floating point process function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+void stage_rfft_f32(
+  const arm_rfft_fast_instance_f32 * S,
+        float32_t * p,
+        float32_t * pOut)
+{
+        uint32_t  k;                                /* Loop Counter */
+        float32_t twR, twI;                         /* RFFT Twiddle coefficients */
+  const float32_t * pCoeff = S->pTwiddleRFFT;       /* Points to RFFT Twiddle factors */
+        float32_t *pA = p;                          /* increasing pointer */
+        float32_t *pB = p;                          /* decreasing pointer */
+        float32_t xAR, xAI, xBR, xBI;               /* temporary variables */
+        float32_t t1a, t1b;                         /* temporary variables */
+        float32_t p0, p1, p2, p3;                   /* temporary variables */
+
+
+   k = (S->Sint).fftLen - 1;
+
+   /* Pack first and last sample of the frequency domain together */
+
+   xBR = pB[0];
+   xBI = pB[1];
+   xAR = pA[0];
+   xAI = pA[1];
+
+   twR = *pCoeff++ ;
+   twI = *pCoeff++ ;
+
+   // U1 = XA(1) + XB(1); % It is real
+   t1a = xBR + xAR  ;
+
+   // U2 = XB(1) - XA(1); % It is imaginary
+   t1b = xBI + xAI  ;
+
+   // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+   // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+   *pOut++ = 0.5f * ( t1a + t1b );
+   *pOut++ = 0.5f * ( t1a - t1b );
+
+   // XA(1) = 1/2*( U1 - imag(U2) +  i*( U1 +imag(U2) ));
+   pB  = p + 2*k;
+   pA += 2;
+
+   do
+   {
+      /*
+         function X = my_split_rfft(X, ifftFlag)
+         % X is a series of real numbers
+         L  = length(X);
+         XC = X(1:2:end) +i*X(2:2:end);
+         XA = fft(XC);
+         XB = conj(XA([1 end:-1:2]));
+         TW = i*exp(-2*pi*i*[0:L/2-1]/L).';
+         for l = 2:L/2
+            XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l)));
+         end
+         XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1))));
+         X = XA;
+      */
+
+      xBI = pB[1];
+      xBR = pB[0];
+      xAR = pA[0];
+      xAI = pA[1];
+
+      twR = *pCoeff++;
+      twI = *pCoeff++;
+
+      t1a = xBR - xAR ;
+      t1b = xBI + xAI ;
+
+      // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI);
+      // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI);
+      p0 = twR * t1a;
+      p1 = twI * t1a;
+      p2 = twR * t1b;
+      p3 = twI * t1b;
+
+      *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR
+      *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI
+
+      pA += 2;
+      pB -= 2;
+      k--;
+   } while (k > 0U);
+}
+
+/* Prepares data for inverse cfft */
+void merge_rfft_f32(
+  const arm_rfft_fast_instance_f32 * S,
+        float32_t * p,
+        float32_t * pOut)
+{
+        uint32_t  k;                                /* Loop Counter */
+        float32_t twR, twI;                         /* RFFT Twiddle coefficients */
+  const float32_t *pCoeff = S->pTwiddleRFFT;        /* Points to RFFT Twiddle factors */
+        float32_t *pA = p;                          /* increasing pointer */
+        float32_t *pB = p;                          /* decreasing pointer */
+        float32_t xAR, xAI, xBR, xBI;               /* temporary variables */
+        float32_t t1a, t1b, r, s, t, u;             /* temporary variables */
+
+   k = (S->Sint).fftLen - 1;
+
+   xAR = pA[0];
+   xAI = pA[1];
+
+   pCoeff += 2 ;
+
+   *pOut++ = 0.5f * ( xAR + xAI );
+   *pOut++ = 0.5f * ( xAR - xAI );
+
+   pB  =  p + 2*k ;
+   pA +=  2	   ;
+
+   while (k > 0U)
+   {
+      /* G is half of the frequency complex spectrum */
+      //for k = 2:N
+      //    Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2))));
+      xBI =   pB[1]    ;
+      xBR =   pB[0]    ;
+      xAR =  pA[0];
+      xAI =  pA[1];
+
+      twR = *pCoeff++;
+      twI = *pCoeff++;
+
+      t1a = xAR - xBR ;
+      t1b = xAI + xBI ;
+
+      r = twR * t1a;
+      s = twI * t1b;
+      t = twI * t1a;
+      u = twR * t1b;
+
+      // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI);
+      // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI);
+      *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR
+      *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI
+
+      pA += 2;
+      pB -= 2;
+      k--;
+   }
+
+}
+
+/**
+  @ingroup groupTransforms
+*/
+
+/**
+  @defgroup RealFFT Real FFT Functions
+ 
+  @par
+                   The CMSIS DSP library includes specialized algorithms for computing the
+                   FFT of real data sequences.  The FFT is defined over complex data but
+                   in many applications the input is real.  Real FFT algorithms take advantage
+                   of the symmetry properties of the FFT and have a speed advantage over complex
+                   algorithms of the same length.
+  @par
+                   The Fast RFFT algorith relays on the mixed radix CFFT that save processor usage.
+  @par
+                   The real length N forward FFT of a sequence is computed using the steps shown below.
+  @par
+                   \image html RFFT.gif "Real Fast Fourier Transform"
+  @par
+                   The real sequence is initially treated as if it were complex to perform a CFFT.
+                   Later, a processing stage reshapes the data to obtain half of the frequency spectrum
+                   in complex format. Except the first complex number that contains the two real numbers
+                   X[0] and X[N/2] all the data is complex. In other words, the first complex sample
+                   contains two real values packed.
+  @par
+                   The input for the inverse RFFT should keep the same format as the output of the
+                   forward RFFT. A first processing stage pre-process the data to later perform an
+                   inverse CFFT.
+  @par
+                   \image html RIFFT.gif "Real Inverse Fast Fourier Transform"
+  @par
+                   The algorithms for floating-point, Q15, and Q31 data are slightly different
+                   and we describe each algorithm in turn.
+  @par           Floating-point
+                   The main functions are \ref arm_rfft_fast_f32() and \ref arm_rfft_fast_init_f32().
+                   The older functions \ref arm_rfft_f32() and \ref arm_rfft_init_f32() have been deprecated
+                   but are still documented.
+  @par
+                   The FFT of a real N-point sequence has even symmetry in the frequency domain. 
+                   The second half of the data equals the conjugate of the first half flipped in frequency. 
+                   Looking at the data, we see that we can uniquely represent the FFT using only N/2 complex numbers.
+                   These are packed into the output array in alternating real and imaginary components:
+  @par
+                   X = { real[0], imag[0], real[1], imag[1], real[2], imag[2] ...
+                   real[(N/2)-1], imag[(N/2)-1 }
+  @par
+                   It happens that the first complex number (real[0], imag[0]) is actually
+                   all real. real[0] represents the DC offset, and imag[0] should be 0.
+                   (real[1], imag[1]) is the fundamental frequency, (real[2], imag[2]) is
+                   the first harmonic and so on.
+  @par
+                   The real FFT functions pack the frequency domain data in this fashion.
+                   The forward transform outputs the data in this form and the inverse
+                   transform expects input data in this form. The function always performs
+                   the needed bitreversal so that the input and output data is always in
+                   normal order. The functions support lengths of [32, 64, 128, ..., 4096]
+                   samples.
+  @par           Q15 and Q31
+                   The real algorithms are defined in a similar manner and utilize N/2 complex
+                   transforms behind the scenes.
+  @par
+                   The complex transforms used internally include scaling to prevent fixed-point
+                   overflows.  The overall scaling equals 1/(fftLen/2).
+  @par
+                   A separate instance structure must be defined for each transform used but
+                   twiddle factor and bit reversal tables can be reused.
+  @par
+                   There is also an associated initialization function for each data type.
+                   The initialization function performs the following operations:
+                    - Sets the values of the internal structure fields.
+                    - Initializes twiddle factor table and bit reversal table pointers.
+                    - Initializes the internal complex FFT data structure.
+  @par
+                   Use of the initialization function is optional.
+                   However, if the initialization function is used, then the instance structure
+                   cannot be placed into a const data section. To place an instance structure
+                   into a const data section, the instance structure should be manually
+                   initialized as follows:
+  <pre>
+      arm_rfft_instance_q31 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
+      arm_rfft_instance_q15 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
+  </pre>
+                   where <code>fftLenReal</code> is the length of the real transform;
+                   <code>fftLenBy2</code> length of  the internal complex transform.
+                   <code>ifftFlagR</code> Selects forward (=0) or inverse (=1) transform.
+                   <code>bitReverseFlagR</code> Selects bit reversed output (=0) or normal order
+                   output (=1).
+                   <code>twidCoefRModifier</code> stride modifier for the twiddle factor table.
+                   The value is based on the FFT length;
+                   <code>pTwiddleAReal</code>points to the A array of twiddle coefficients;
+                   <code>pTwiddleBReal</code>points to the B array of twiddle coefficients;
+                   <code>pCfft</code> points to the CFFT Instance structure. The CFFT structure
+                   must also be initialized.  Refer to arm_cfft_radix4_f32() for details regarding
+                   static initialization of the complex FFT instance structure.
+ */
+
+/**
+  @addtogroup RealFFT
+  @{
+*/
+
+/**
+  @brief         Processing function for the floating-point real FFT.
+  @param[in]     S         points to an arm_rfft_fast_instance_f32 structure
+  @param[in]     p         points to input buffer
+  @param[in]     pOut      points to output buffer
+  @param[in]     ifftFlag
+                   - value = 0: RFFT
+                   - value = 1: RIFFT
+  @return        none
+*/
+
+void arm_rfft_fast_f32(
+  arm_rfft_fast_instance_f32 * S,
+  float32_t * p,
+  float32_t * pOut,
+  uint8_t ifftFlag)
+{
+   arm_cfft_instance_f32 * Sint = &(S->Sint);
+   Sint->fftLen = S->fftLenRFFT / 2;
+
+   /* Calculation of Real FFT */
+   if (ifftFlag)
+   {
+      /*  Real FFT compression */
+      merge_rfft_f32(S, p, pOut);
+
+      /* Complex radix-4 IFFT process */
+      arm_cfft_f32( Sint, pOut, ifftFlag, 1);
+   }
+   else
+   {
+      /* Calculation of RFFT of input */
+      arm_cfft_f32( Sint, p, ifftFlag, 1);
+
+      /*  Real FFT extraction */
+      stage_rfft_f32(S, p, pOut);
+   }
+}
+
+/**
+* @} end of RealFFT group
+*/
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c
new file mode 100644
index 0000000..ca510cd
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c
@@ -0,0 +1,344 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cfft_init_f32.c
+ * Description:  Split Radix Decimation in Frequency CFFT Floating point processing function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+  @ingroup groupTransforms
+ */
+
+/**
+  @addtogroup RealFFT
+  @{
+ */
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16) && defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32))
+
+/**
+  @brief         Initialization function for the 32pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+arm_status arm_rfft_32_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_cfft_instance_f32 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 16U;
+  S->fftLenRFFT = 32U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLE_16_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable16;
+  Sint->pTwiddle     = (float32_t *) twiddleCoef_16;
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_32;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64))
+
+/**
+  @brief         Initialization function for the 64pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+arm_status arm_rfft_64_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_cfft_instance_f32 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 32U;
+  S->fftLenRFFT = 64U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLE_32_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable32;
+  Sint->pTwiddle     = (float32_t *) twiddleCoef_32;
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_64;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128))
+
+/**
+  @brief         Initialization function for the 128pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+arm_status arm_rfft_128_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_cfft_instance_f32 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 64U;
+  S->fftLenRFFT = 128U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLE_64_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable64;
+  Sint->pTwiddle     = (float32_t *) twiddleCoef_64;
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_128;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256))
+
+/**
+  @brief         Initialization function for the 256pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+*/
+
+arm_status arm_rfft_256_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_cfft_instance_f32 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 128U;
+  S->fftLenRFFT = 256U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLE_128_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable128;
+  Sint->pTwiddle     = (float32_t *) twiddleCoef_128;
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_256;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512))
+
+/**
+  @brief         Initialization function for the 512pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+arm_status arm_rfft_512_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_cfft_instance_f32 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 256U;
+  S->fftLenRFFT = 512U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLE_256_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable256;
+  Sint->pTwiddle     = (float32_t *) twiddleCoef_256;
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_512;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif 
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024))
+/**
+  @brief         Initialization function for the 1024pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+arm_status arm_rfft_1024_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_cfft_instance_f32 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 512U;
+  S->fftLenRFFT = 1024U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLE_512_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable512;
+  Sint->pTwiddle     = (float32_t *) twiddleCoef_512;
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_1024;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048))
+/**
+  @brief         Initialization function for the 2048pt floating-point real FFT.
+  @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+arm_status arm_rfft_2048_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_cfft_instance_f32 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 1024U;
+  S->fftLenRFFT = 2048U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLE_1024_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable1024;
+  Sint->pTwiddle     = (float32_t *) twiddleCoef_1024;
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_2048;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif
+
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096))
+/**
+* @brief         Initialization function for the 4096pt floating-point real FFT.
+* @param[in,out] S  points to an arm_rfft_fast_instance_f32 structure
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : an error is detected
+ */
+
+arm_status arm_rfft_4096_fast_init_f32( arm_rfft_fast_instance_f32 * S ) {
+
+  arm_cfft_instance_f32 * Sint;
+
+  if( !S ) return ARM_MATH_ARGUMENT_ERROR;
+
+  Sint = &(S->Sint);
+  Sint->fftLen = 2048U;
+  S->fftLenRFFT = 4096U;
+
+  Sint->bitRevLength = ARMBITREVINDEXTABLE_2048_TABLE_LENGTH;
+  Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable2048;
+  Sint->pTwiddle     = (float32_t *) twiddleCoef_2048;
+  S->pTwiddleRFFT    = (float32_t *) twiddleCoef_rfft_4096;
+
+  return ARM_MATH_SUCCESS;
+}
+#endif 
+
+/**
+  @brief         Initialization function for the floating-point real FFT.
+  @param[in,out] S       points to an arm_rfft_fast_instance_f32 structure
+  @param[in]     fftLen  length of the Real Sequence
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>fftLen</code> is not a supported length
+
+  @par           Description
+                   The parameter <code>fftLen</code> specifies the length of RFFT/CIFFT process.
+                   Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096.
+  @par
+                   This Function also initializes Twiddle factor table pointer and Bit reversal table pointer.
+ */
+
+arm_status arm_rfft_fast_init_f32(
+  arm_rfft_fast_instance_f32 * S,
+  uint16_t fftLen)
+{
+  typedef arm_status(*fft_init_ptr)( arm_rfft_fast_instance_f32 *);
+  fft_init_ptr fptr = 0x0;
+
+  switch (fftLen)
+  {
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_BITREVIDX_FLT_2048) && defined(ARM_TABLE_TWIDDLECOEF_F32_2048) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_4096))
+  case 4096U:
+    fptr = arm_rfft_4096_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_BITREVIDX_FLT_1024) && defined(ARM_TABLE_TWIDDLECOEF_F32_1024) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_2048))
+  case 2048U:
+    fptr = arm_rfft_2048_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_BITREVIDX_FLT_512) && defined(ARM_TABLE_TWIDDLECOEF_F32_512) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_1024))
+  case 1024U:
+    fptr = arm_rfft_1024_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_BITREVIDX_FLT_256) && defined(ARM_TABLE_TWIDDLECOEF_F32_256) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_512))
+  case 512U:
+    fptr = arm_rfft_512_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_BITREVIDX_FLT_128) && defined(ARM_TABLE_TWIDDLECOEF_F32_128) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_256))
+  case 256U:
+    fptr = arm_rfft_256_fast_init_f32;
+    break;
+#endif
+#if (defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_BITREVIDX_FLT_64) && defined(ARM_TABLE_TWIDDLECOEF_F32_64) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_128))
+  case 128U:
+    fptr = arm_rfft_128_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_BITREVIDX_FLT_32) && defined(ARM_TABLE_TWIDDLECOEF_F32_32) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_64))
+  case 64U:
+    fptr = arm_rfft_64_fast_init_f32;
+    break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_BITREVIDX_FLT_16) && defined(ARM_TABLE_TWIDDLECOEF_F32_16) && defined(ARM_TABLE_TWIDDLECOEF_RFFT_F32_32))
+  case 32U:
+    fptr = arm_rfft_32_fast_init_f32;
+    break;
+#endif
+  default:
+    return ARM_MATH_ARGUMENT_ERROR;
+  }
+
+  if( ! fptr ) return ARM_MATH_ARGUMENT_ERROR;
+  return fptr( S );
+
+}
+
+/**
+  @} end of RealFFT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c
new file mode 100644
index 0000000..3d57a21
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c
@@ -0,0 +1,139 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rfft_init_f32.c
+ * Description:  RFFT & RIFFT Floating point initialisation function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+
+/**
+  @addtogroup RealFFT
+  @{
+ */
+
+/**
+  @brief         Initialization function for the floating-point RFFT/RIFFT.
+  @deprecated    Do not use this function. It has been superceded by \ref arm_rfft_fast_init_f32 and will be removed in the future.
+  @param[in,out] S             points to an instance of the floating-point RFFT/RIFFT structure
+  @param[in,out] S_CFFT        points to an instance of the floating-point CFFT/CIFFT structure
+  @param[in]     fftLenReal     length of the FFT.
+  @param[in]     ifftFlagR      flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>fftLenReal</code> is not a supported length
+
+  @par Description
+                   The parameter <code>fftLenReal</code>specifies length of RFFT/RIFFT Process.
+                   Supported FFT Lengths are 128, 512, 2048.
+  @par
+                   The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.
+                   Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.
+  @par
+                   The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
+                   Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+  @par
+                   This function also initializes Twiddle factor table.
+ */
+
+arm_status arm_rfft_init_f32(
+  arm_rfft_instance_f32 * S,
+  arm_cfft_radix4_instance_f32 * S_CFFT,
+  uint32_t fftLenReal,
+  uint32_t ifftFlagR,
+  uint32_t bitReverseFlag)
+{
+
+  /*  Initialise the default arm status */
+  arm_status status = ARM_MATH_SUCCESS;
+
+  /*  Initialize the Real FFT length */
+  S->fftLenReal = (uint16_t) fftLenReal;
+
+  /*  Initialize the Complex FFT length */
+  S->fftLenBy2 = (uint16_t) fftLenReal / 2U;
+
+  /*  Initialize the Twiddle coefficientA pointer */
+  S->pTwiddleAReal = (float32_t *) realCoefA;
+
+  /*  Initialize the Twiddle coefficientB pointer */
+  S->pTwiddleBReal = (float32_t *) realCoefB;
+
+  /*  Initialize the Flag for selection of RFFT or RIFFT */
+  S->ifftFlagR = (uint8_t) ifftFlagR;
+
+  /*  Initialize the Flag for calculation Bit reversal or not */
+  S->bitReverseFlagR = (uint8_t) bitReverseFlag;
+
+  /*  Initializations of structure parameters depending on the FFT length */
+  switch (S->fftLenReal)
+  {
+    /* Init table modifier value */
+  case 8192U:
+    S->twidCoefRModifier = 1U;
+    break;
+  case 2048U:
+    S->twidCoefRModifier = 4U;
+    break;
+  case 512U:
+    S->twidCoefRModifier = 16U;
+    break;
+  case 128U:
+    S->twidCoefRModifier = 64U;
+    break;
+  default:
+    /*  Reporting argument error if rfftSize is not valid value */
+    status = ARM_MATH_ARGUMENT_ERROR;
+    break;
+  }
+
+  /* Init Complex FFT Instance */
+  S->pCfft = S_CFFT;
+
+  if (S->ifftFlagR)
+  {
+    /* Initializes the CIFFT Module for fftLenreal/2 length */
+    arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1U, 0U);
+  }
+  else
+  {
+    /* Initializes the CFFT Module for fftLenreal/2 length */
+    arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0U, 0U);
+  }
+
+  /* return the status of RFFT Init function */
+  return (status);
+
+}
+
+/**
+  @} end of RealFFT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c
new file mode 100644
index 0000000..fb4c66c
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c
@@ -0,0 +1,158 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rfft_init_q15.c
+ * Description:  RFFT & RIFFT Q15 initialisation function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+#include "arm_const_structs.h"
+
+/**
+  @addtogroup RealFFT
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q15 RFFT/RIFFT.
+  @param[in,out] S              points to an instance of the Q15 RFFT/RIFFT structure
+  @param[in]     fftLenReal     length of the FFT
+  @param[in]     ifftFlagR      flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>fftLenReal</code> is not a supported length
+
+  @par           Details
+                   The parameter <code>fftLenReal</code> specifies length of RFFT/RIFFT Process.
+                   Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.
+  @par
+                   The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.
+                   Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.
+  @par
+                   The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
+                   Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+  @par
+                   This function also initializes Twiddle factor table.
+ */
+
+arm_status arm_rfft_init_q15(
+    arm_rfft_instance_q15 * S,
+    uint32_t fftLenReal,
+    uint32_t ifftFlagR,
+    uint32_t bitReverseFlag)
+{
+    /*  Initialise the default arm status */
+    arm_status status = ARM_MATH_SUCCESS;
+
+    /*  Initialize the Real FFT length */
+    S->fftLenReal = (uint16_t) fftLenReal;
+
+    /*  Initialize the Twiddle coefficientA pointer */
+    S->pTwiddleAReal = (q15_t *) realCoefAQ15;
+
+    /*  Initialize the Twiddle coefficientB pointer */
+    S->pTwiddleBReal = (q15_t *) realCoefBQ15;
+
+    /*  Initialize the Flag for selection of RFFT or RIFFT */
+    S->ifftFlagR = (uint8_t) ifftFlagR;
+
+    /*  Initialize the Flag for calculation Bit reversal or not */
+    S->bitReverseFlagR = (uint8_t) bitReverseFlag;
+
+    /*  Initialization of coef modifier depending on the FFT length */
+    switch (S->fftLenReal)
+    {
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+    case 8192U:
+        S->twidCoefRModifier = 1U;
+        S->pCfft = &arm_cfft_sR_q15_len4096;
+        break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+    case 4096U:
+        S->twidCoefRModifier = 2U;
+        S->pCfft = &arm_cfft_sR_q15_len2048;
+        break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+    case 2048U:
+        S->twidCoefRModifier = 4U;
+        S->pCfft = &arm_cfft_sR_q15_len1024;
+        break;
+#endif 
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+    case 1024U:
+        S->twidCoefRModifier = 8U;
+        S->pCfft = &arm_cfft_sR_q15_len512;
+        break;
+#endif 
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+    case 512U:
+        S->twidCoefRModifier = 16U;
+        S->pCfft = &arm_cfft_sR_q15_len256;
+        break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+    case 256U:
+        S->twidCoefRModifier = 32U;
+        S->pCfft = &arm_cfft_sR_q15_len128;
+        break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+    case 128U:
+        S->twidCoefRModifier = 64U;
+        S->pCfft = &arm_cfft_sR_q15_len64;
+        break;
+#endif 
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+    case 64U:
+        S->twidCoefRModifier = 128U;
+        S->pCfft = &arm_cfft_sR_q15_len32;
+        break;
+#endif 
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q15_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+    case 32U:
+        S->twidCoefRModifier = 256U;
+        S->pCfft = &arm_cfft_sR_q15_len16;
+        break;
+#endif
+    default:
+        /*  Reporting argument error if rfftSize is not valid value */
+        status = ARM_MATH_ARGUMENT_ERROR;
+        break;
+    }
+
+    /* return the status of RFFT Init function */
+    return (status);
+}
+
+/**
+  @} end of RealFFT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c
new file mode 100644
index 0000000..efae1ea
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c
@@ -0,0 +1,160 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rfft_init_q31.c
+ * Description:  RFFT & RIFFT Q31 initialisation function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+#include "arm_const_structs.h"
+
+
+
+/**
+  @addtogroup RealFFT
+  @{
+ */
+
+/**
+  @brief         Initialization function for the Q31 RFFT/RIFFT.
+  @param[in,out] S              points to an instance of the Q31 RFFT/RIFFT structure
+  @param[in]     fftLenReal     length of the FFT
+  @param[in]     ifftFlagR      flag that selects transform direction
+                   - value = 0: forward transform
+                   - value = 1: inverse transform
+  @param[in]     bitReverseFlag flag that enables / disables bit reversal of output
+                   - value = 0: disables bit reversal of output
+                   - value = 1: enables bit reversal of output
+  @return        execution status
+                   - \ref ARM_MATH_SUCCESS        : Operation successful
+                   - \ref ARM_MATH_ARGUMENT_ERROR : <code>fftLenReal</code> is not a supported length
+
+  @par           Details
+                   The parameter <code>fftLenReal</code> specifies length of RFFT/RIFFT Process.
+                   Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.
+  @par
+                   The parameter <code>ifftFlagR</code> controls whether a forward or inverse transform is computed.
+                   Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated.
+  @par
+                   The parameter <code>bitReverseFlag</code> controls whether output is in normal order or bit reversed order.
+                   Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order.
+  @par
+                   This function also initializes Twiddle factor table.
+*/
+
+arm_status arm_rfft_init_q31(
+    arm_rfft_instance_q31 * S,
+    uint32_t fftLenReal,
+    uint32_t ifftFlagR,
+    uint32_t bitReverseFlag)
+{
+    /*  Initialise the default arm status */
+    arm_status status = ARM_MATH_SUCCESS;
+
+    /*  Initialize the Real FFT length */
+    S->fftLenReal = (uint16_t) fftLenReal;
+
+    /*  Initialize the Twiddle coefficientA pointer */
+    S->pTwiddleAReal = (q31_t *) realCoefAQ31;
+
+    /*  Initialize the Twiddle coefficientB pointer */
+    S->pTwiddleBReal = (q31_t *) realCoefBQ31;
+
+    /*  Initialize the Flag for selection of RFFT or RIFFT */
+    S->ifftFlagR = (uint8_t) ifftFlagR;
+
+    /*  Initialize the Flag for calculation Bit reversal or not */
+    S->bitReverseFlagR = (uint8_t) bitReverseFlag;
+
+    /*  Initialization of coef modifier depending on the FFT length */
+    switch (S->fftLenReal)
+    {
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_4096) && defined(ARM_TABLE_BITREVIDX_FXT_4096))
+    case 8192U:
+        S->twidCoefRModifier = 1U;
+        S->pCfft = &arm_cfft_sR_q31_len4096;
+        break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_2048) && defined(ARM_TABLE_BITREVIDX_FXT_2048))
+    case 4096U:
+        S->twidCoefRModifier = 2U;
+        S->pCfft = &arm_cfft_sR_q31_len2048;
+        break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_1024) && defined(ARM_TABLE_BITREVIDX_FXT_1024))
+    case 2048U:
+        S->twidCoefRModifier = 4U;
+        S->pCfft = &arm_cfft_sR_q31_len1024;
+        break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_512) && defined(ARM_TABLE_BITREVIDX_FXT_512))
+    case 1024U:
+        S->twidCoefRModifier = 8U;
+        S->pCfft = &arm_cfft_sR_q31_len512;
+        break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_256) && defined(ARM_TABLE_BITREVIDX_FXT_256))
+    case 512U:
+        S->twidCoefRModifier = 16U;
+        S->pCfft = &arm_cfft_sR_q31_len256;
+        break;
+#endif 
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_128) && defined(ARM_TABLE_BITREVIDX_FXT_128))
+    case 256U:
+        S->twidCoefRModifier = 32U;
+        S->pCfft = &arm_cfft_sR_q31_len128;
+        break;
+#endif 
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_64) && defined(ARM_TABLE_BITREVIDX_FXT_64))
+    case 128U:
+        S->twidCoefRModifier = 64U;
+        S->pCfft = &arm_cfft_sR_q31_len64;
+        break;
+#endif
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_32) && defined(ARM_TABLE_BITREVIDX_FXT_32))
+    case 64U:
+        S->twidCoefRModifier = 128U;
+        S->pCfft = &arm_cfft_sR_q31_len32;
+        break;
+#endif 
+#if !defined(ARM_DSP_CONFIG_TABLES) || defined(ARM_ALL_FFT_TABLES) || (defined(ARM_TABLE_TWIDDLECOEF_Q31_16) && defined(ARM_TABLE_BITREVIDX_FXT_16))
+    case 32U:
+        S->twidCoefRModifier = 256U;
+        S->pCfft = &arm_cfft_sR_q31_len16;
+        break;
+#endif
+    default:
+        /*  Reporting argument error if rfftSize is not valid value */
+        status = ARM_MATH_ARGUMENT_ERROR;
+        break;
+    }
+
+    /* return the status of RFFT Init function */
+    return (status);
+}
+
+/**
+  @} end of RealFFT group
+ */
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c
new file mode 100644
index 0000000..29d12b7
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c
@@ -0,0 +1,380 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rfft_q15.c
+ * Description:  RFFT & RIFFT Q15 process function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+ * Internal functions prototypes
+ * -------------------------------------------------------------------- */
+
+void arm_split_rfft_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pATable,
+  const q15_t * pBTable,
+        q15_t * pDst,
+        uint32_t modifier);
+
+void arm_split_rifft_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pATable,
+  const q15_t * pBTable,
+        q15_t * pDst,
+        uint32_t modifier);
+
+/**
+  @addtogroup RealFFT
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q15 RFFT/RIFFT.
+  @param[in]     S     points to an instance of the Q15 RFFT/RIFFT structure
+  @param[in]     pSrc  points to input buffer
+  @param[out]    pDst  points to output buffer
+  @return        none
+
+  @par           Input an output formats
+                   Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
+                   Hence the output format is different for different RFFT sizes.
+                   The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:
+  @par
+                   \image html RFFTQ15.gif "Input and Output Formats for Q15 RFFT"
+  @par
+                   \image html RIFFTQ15.gif "Input and Output Formats for Q15 RIFFT"
+ */
+
+void arm_rfft_q15(
+  const arm_rfft_instance_q15 * S,
+        q15_t * pSrc,
+        q15_t * pDst)
+{
+  const arm_cfft_instance_q15 *S_CFFT = S->pCfft;
+        uint32_t L2 = S->fftLenReal >> 1U;
+        uint32_t i;
+
+  /* Calculation of RIFFT of input */
+  if (S->ifftFlagR == 1U)
+  {
+     /*  Real IFFT core process */
+     arm_split_rifft_q15 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+
+     /* Complex IFFT process */
+     arm_cfft_q15 (S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
+
+     for(i = 0; i < S->fftLenReal; i++)
+     {
+        pDst[i] = pDst[i] << 1U;
+     }
+  }
+  else
+  {
+     /* Calculation of RFFT of input */
+
+     /* Complex FFT process */
+     arm_cfft_q15 (S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
+
+     /*  Real FFT core process */
+     arm_split_rfft_q15 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+  }
+
+}
+
+/**
+  @} end of RealFFT group
+ */
+
+/**
+  @brief         Core Real FFT process
+  @param[in]     pSrc      points to input buffer
+  @param[in]     fftLen    length of FFT
+  @param[in]     pATable   points to twiddle Coef A buffer
+  @param[in]     pBTable   points to twiddle Coef B buffer
+  @param[out]    pDst      points to output buffer
+  @param[in]     modifier  twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+  @return        none
+
+  @par
+                   The function implements a Real FFT
+ */
+
+void arm_split_rfft_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pATable,
+  const q15_t * pBTable,
+        q15_t * pDst,
+        uint32_t modifier)
+{       
+        uint32_t i;                                    /* Loop Counter */
+        q31_t outR, outI;                              /* Temporary variables for output */
+  const q15_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
+        q15_t *pSrc1, *pSrc2;
+#if defined (ARM_MATH_DSP)
+        q15_t *pD1, *pD2;
+#endif
+
+  /* Init coefficient pointers */
+  pCoefA = &pATable[modifier * 2];
+  pCoefB = &pBTable[modifier * 2];
+
+  pSrc1 = &pSrc[2];
+  pSrc2 = &pSrc[(2U * fftLen) - 2U];
+
+#if defined (ARM_MATH_DSP)
+
+    i = 1U;
+    pD1 = pDst + 2;
+    pD2 = pDst + (4U * fftLen) - 2;
+
+    for (i = fftLen - 1; i > 0; i--)
+    {
+        /*
+          outR = (  pSrc[2 * i]             * pATable[2 * i]
+                  - pSrc[2 * i + 1]         * pATable[2 * i + 1]
+                  + pSrc[2 * n - 2 * i]     * pBTable[2 * i]
+                  + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+
+          outI = (  pIn[2 * i + 1]         * pATable[2 * i]
+                  + pIn[2 * i]             * pATable[2 * i + 1]
+                  + pIn[2 * n - 2 * i]     * pBTable[2 * i + 1]
+                  - pIn[2 * n - 2 * i + 1] * pBTable[2 * i])
+         */
+
+
+#ifndef ARM_MATH_BIG_ENDIAN
+        /* pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] */
+        outR = __SMUSD(read_q15x2 (pSrc1), read_q15x2((q15_t *) pCoefA));
+#else
+        /* -(pSrc[2 * i + 1] * pATable[2 * i + 1] - pSrc[2 * i] * pATable[2 * i]) */
+        outR = -(__SMUSD(read_q15x2 (pSrc1), read_q15x2((q15_t *) pCoefA)));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* pSrc[2 * n - 2 * i] * pBTable[2 * i] + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
+        outR = __SMLAD(read_q15x2 (pSrc2), read_q15x2((q15_t *) pCoefB), outR) >> 16U;
+
+        /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+#ifndef ARM_MATH_BIG_ENDIAN
+        outI = __SMUSDX(read_q15x2_da (&pSrc2), read_q15x2((q15_t *) pCoefB));
+#else
+        outI = __SMUSDX(read_q15x2 ((q15_t *) pCoefB), read_q15x2_da (&pSrc2));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+        /* (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] */
+        outI = __SMLADX(read_q15x2_ia (&pSrc1), read_q15x2 ((q15_t *) pCoefA), outI);
+
+        /* write output */
+        *pD1++ = (q15_t) outR;
+        *pD1++ = outI >> 16U;
+
+        /* write complex conjugate output */
+        pD2[0] = (q15_t) outR;
+        pD2[1] = -(outI >> 16U);
+        pD2 -= 2;
+
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (2U * modifier);
+        pCoefA = pCoefA + (2U * modifier);
+    }
+
+    pDst[2U * fftLen]      = (pSrc[0] - pSrc[1]) >> 1U;
+    pDst[2U * fftLen + 1U] = 0;
+
+    pDst[0] = (pSrc[0] + pSrc[1]) >> 1U;
+    pDst[1] = 0;
+
+#else
+
+    i = 1U;
+
+    while (i < fftLen)
+    {
+        /*
+          outR = (  pSrc[2 * i]             * pATable[2 * i]
+                  - pSrc[2 * i + 1]         * pATable[2 * i + 1]
+                  + pSrc[2 * n - 2 * i]     * pBTable[2 * i]
+                  + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+        */
+
+        outR = *pSrc1 * *pCoefA;
+        outR = outR - (*(pSrc1 + 1) * *(pCoefA + 1));
+        outR = outR + (*pSrc2 * *pCoefB);
+        outR = (outR + (*(pSrc2 + 1) * *(pCoefB + 1))) >> 16;
+
+        /*
+          outI = (  pIn[2 * i + 1]         * pATable[2 * i]
+                  + pIn[2 * i]             * pATable[2 * i + 1]
+                  + pIn[2 * n - 2 * i]     * pBTable[2 * i + 1]
+                  - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
+        */
+
+        outI = *pSrc2 * *(pCoefB + 1);
+        outI = outI - (*(pSrc2 + 1) * *pCoefB);
+        outI = outI + (*(pSrc1 + 1) * *pCoefA);
+        outI = outI + (*pSrc1 * *(pCoefA + 1));
+
+        /* update input pointers */
+        pSrc1 += 2U;
+        pSrc2 -= 2U;
+
+        /* write output */
+        pDst[2U * i] = (q15_t) outR;
+        pDst[2U * i + 1U] = outI >> 16U;
+
+        /* write complex conjugate output */
+        pDst[(4U * fftLen) - (2U * i)] = (q15_t) outR;
+        pDst[((4U * fftLen) - (2U * i)) + 1U] = -(outI >> 16U);
+
+        /* update coefficient pointer */
+        pCoefB = pCoefB + (2U * modifier);
+        pCoefA = pCoefA + (2U * modifier);
+
+        i++;
+    }
+
+    pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1;
+    pDst[2U * fftLen + 1U] = 0;
+
+    pDst[0] = (pSrc[0] + pSrc[1]) >> 1;
+    pDst[1] = 0;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+}
+
+
+/**
+  @brief         Core Real IFFT process
+  @param[in]     pSrc      points to input buffer
+  @param[in]     fftLen    length of FFT
+  @param[in]     pATable   points to twiddle Coef A buffer
+  @param[in]     pBTable   points to twiddle Coef B buffer
+  @param[out]    pDst      points to output buffer
+  @param[in]     modifier  twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+  @return        none
+
+  @par
+                   The function implements a Real IFFT
+ */
+
+void arm_split_rifft_q15(
+        q15_t * pSrc,
+        uint32_t fftLen,
+  const q15_t * pATable,
+  const q15_t * pBTable,
+        q15_t * pDst,
+        uint32_t modifier)
+{
+        uint32_t i;                                    /* Loop Counter */
+        q31_t outR, outI;                              /* Temporary variables for output */
+  const q15_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
+        q15_t *pSrc1, *pSrc2;
+        q15_t *pDst1 = &pDst[0];
+
+  pCoefA = &pATable[0];
+  pCoefB = &pBTable[0];
+
+  pSrc1 = &pSrc[0];
+  pSrc2 = &pSrc[2 * fftLen];
+
+  i = fftLen;
+  while (i > 0U)
+  {
+      /*
+        outR = (  pIn[2 * i]             * pATable[2 * i]
+                + pIn[2 * i + 1]         * pATable[2 * i + 1]
+                + pIn[2 * n - 2 * i]     * pBTable[2 * i]
+                - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+
+        outI = (  pIn[2 * i + 1]         * pATable[2 * i]
+                - pIn[2 * i]             * pATable[2 * i + 1]
+                - pIn[2 * n - 2 * i]     * pBTable[2 * i + 1]
+                - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
+       */
+
+#if defined (ARM_MATH_DSP)
+
+#ifndef ARM_MATH_BIG_ENDIAN
+      /* pIn[2 * n - 2 * i] * pBTable[2 * i] - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */
+      outR = __SMUSD(read_q15x2(pSrc2), read_q15x2((q15_t *) pCoefB));
+#else
+      /* -(-pIn[2 * n - 2 * i] * pBTable[2 * i] + pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1])) */
+      outR = -(__SMUSD(read_q15x2(pSrc2), read_q15x2((q15_t *) pCoefB)));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+      /* pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + pIn[2 * n - 2 * i] * pBTable[2 * i] */
+      outR = __SMLAD(read_q15x2(pSrc1), read_q15x2 ((q15_t *) pCoefA), outR) >> 16U;
+
+      /* -pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+      outI = __SMUADX(read_q15x2_da (&pSrc2), read_q15x2((q15_t *) pCoefB));
+
+      /* pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] */
+#ifndef ARM_MATH_BIG_ENDIAN
+      outI = __SMLSDX(read_q15x2 ((q15_t *) pCoefA), read_q15x2_ia (&pSrc1), -outI);
+#else
+      outI = __SMLSDX(read_q15x2_ia (&pSrc1), read_q15x2 ((q15_t *) pCoefA), -outI);
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+      /* write output */
+#ifndef ARM_MATH_BIG_ENDIAN
+      write_q15x2_ia (&pDst1, __PKHBT(outR, (outI >> 16U), 16));
+#else
+      write_q15x2_ia (&pDst1, __PKHBT((outI >> 16U), outR, 16));
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+
+#else  /* #if defined (ARM_MATH_DSP) */
+
+      outR = *pSrc2 * *pCoefB;
+      outR = outR - (*(pSrc2 + 1) * *(pCoefB + 1));
+      outR = outR + (*pSrc1 * *pCoefA);
+      outR = (outR + (*(pSrc1 + 1) * *(pCoefA + 1))) >> 16;
+
+      outI = *(pSrc1 + 1) * *pCoefA;
+      outI = outI - (*pSrc1 * *(pCoefA + 1));
+      outI = outI - (*pSrc2 * *(pCoefB + 1));
+      outI = outI - (*(pSrc2 + 1) * *(pCoefB));
+
+      /* update input pointers */
+      pSrc1 += 2U;
+      pSrc2 -= 2U;
+
+      /* write output */
+      *pDst1++ = (q15_t) outR;
+      *pDst1++ = (q15_t) (outI >> 16);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+      /* update coefficient pointer */
+      pCoefB = pCoefB + (2 * modifier);
+      pCoefA = pCoefA + (2 * modifier);
+
+      i--;
+  }
+
+}
diff --git a/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c
new file mode 100644
index 0000000..0cc595b
--- /dev/null
+++ b/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c
@@ -0,0 +1,292 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_rfft_q31.c
+ * Description:  FFT & RIFFT Q31 process function
+ *
+ * $Date:        18. March 2019
+ * $Revision:    V1.6.0
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2019 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/* ----------------------------------------------------------------------
+ * Internal functions prototypes
+ * -------------------------------------------------------------------- */
+
+void arm_split_rfft_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pATable,
+  const q31_t * pBTable,
+        q31_t * pDst,
+        uint32_t modifier);
+
+void arm_split_rifft_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pATable,
+  const q31_t * pBTable,
+        q31_t * pDst,
+        uint32_t modifier);
+
+/**
+  @addtogroup RealFFT
+  @{
+ */
+
+/**
+  @brief         Processing function for the Q31 RFFT/RIFFT.
+  @param[in]     S     points to an instance of the Q31 RFFT/RIFFT structure
+  @param[in]     pSrc  points to input buffer
+  @param[out]    pDst  points to output buffer
+  @return        none
+
+  @par           Input an output formats
+                   Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process.
+                   Hence the output format is different for different RFFT sizes.
+                   The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT:
+  @par
+                   \image html RFFTQ31.gif "Input and Output Formats for Q31 RFFT"
+  @par
+                   \image html RIFFTQ31.gif "Input and Output Formats for Q31 RIFFT"
+ */
+
+void arm_rfft_q31(
+  const arm_rfft_instance_q31 * S,
+        q31_t * pSrc,
+        q31_t * pDst)
+{
+  const arm_cfft_instance_q31 *S_CFFT = S->pCfft;
+        uint32_t L2 = S->fftLenReal >> 1U;
+        uint32_t i;
+
+  /* Calculation of RIFFT of input */
+  if (S->ifftFlagR == 1U)
+  {
+     /*  Real IFFT core process */
+     arm_split_rifft_q31 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+
+     /* Complex IFFT process */
+     arm_cfft_q31 (S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR);
+
+     for(i = 0; i < S->fftLenReal; i++)
+     {
+        pDst[i] = pDst[i] << 1U;
+     }
+  }
+  else
+  {
+     /* Calculation of RFFT of input */
+
+     /* Complex FFT process */
+     arm_cfft_q31 (S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR);
+
+     /*  Real FFT core process */
+     arm_split_rfft_q31 (pSrc, L2, S->pTwiddleAReal, S->pTwiddleBReal, pDst, S->twidCoefRModifier);
+  }
+
+}
+
+/**
+  @} end of RealFFT group
+ */
+
+/**
+  @brief         Core Real FFT process
+  @param[in]     pSrc      points to input buffer
+  @param[in]     fftLen    length of FFT
+  @param[in]     pATable   points to twiddle Coef A buffer
+  @param[in]     pBTable   points to twiddle Coef B buffer
+  @param[out]    pDst      points to output buffer
+  @param[in]     modifier  twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+  @return        none
+ */
+
+void arm_split_rfft_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pATable,
+  const q31_t * pBTable,
+        q31_t * pDst,
+        uint32_t modifier)
+{
+        uint32_t i;                                    /* Loop Counter */
+        q31_t outR, outI;                              /* Temporary variables for output */
+  const q31_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
+        q31_t CoefA1, CoefA2, CoefB1;                  /* Temporary variables for twiddle coefficients */
+        q31_t *pOut1 = &pDst[2], *pOut2 = &pDst[4 * fftLen - 1];
+        q31_t *pIn1 =  &pSrc[2], *pIn2 =  &pSrc[2 * fftLen - 1];
+
+  /* Init coefficient pointers */
+  pCoefA = &pATable[modifier * 2];
+  pCoefB = &pBTable[modifier * 2];
+
+  i = fftLen - 1U;
+
+  while (i > 0U)
+  {
+     /*
+       outR = (  pSrc[2 * i]             * pATable[2 * i]
+               - pSrc[2 * i + 1]         * pATable[2 * i + 1]
+               + pSrc[2 * n - 2 * i]     * pBTable[2 * i]
+               + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+
+       outI = (  pIn[2 * i + 1]         * pATable[2 * i]
+               + pIn[2 * i]             * pATable[2 * i + 1]
+               + pIn[2 * n - 2 * i]     * pBTable[2 * i + 1]
+               - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
+      */
+
+     CoefA1 = *pCoefA++;
+     CoefA2 = *pCoefA;
+
+     /* outR = (pSrc[2 * i] * pATable[2 * i] */
+     mult_32x32_keep32_R (outR, *pIn1, CoefA1);
+
+     /* outI = pIn[2 * i] * pATable[2 * i + 1] */
+     mult_32x32_keep32_R (outI, *pIn1++, CoefA2);
+
+     /* - pSrc[2 * i + 1] * pATable[2 * i + 1] */
+     multSub_32x32_keep32_R (outR, *pIn1, CoefA2);
+
+     /* (pIn[2 * i + 1] * pATable[2 * i] */
+     multAcc_32x32_keep32_R (outI, *pIn1++, CoefA1);
+
+     /* pSrc[2 * n - 2 * i] * pBTable[2 * i]  */
+     multSub_32x32_keep32_R (outR, *pIn2, CoefA2);
+     CoefB1 = *pCoefB;
+
+     /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
+     multSub_32x32_keep32_R (outI, *pIn2--, CoefB1);
+
+     /* pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
+     multAcc_32x32_keep32_R (outR, *pIn2, CoefB1);
+
+     /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+     multSub_32x32_keep32_R (outI, *pIn2--, CoefA2);
+
+     /* write output */
+     *pOut1++ = outR;
+     *pOut1++ = outI;
+
+     /* write complex conjugate output */
+     *pOut2-- = -outI;
+     *pOut2-- = outR;
+
+     /* update coefficient pointer */
+     pCoefB = pCoefB + (2 * modifier);
+     pCoefA = pCoefA + (2 * modifier - 1);
+
+     /* Decrement loop count */
+     i--;
+  }
+
+  pDst[2 * fftLen]     = (pSrc[0] - pSrc[1]) >> 1U;
+  pDst[2 * fftLen + 1] = 0;
+
+  pDst[0] = (pSrc[0] + pSrc[1]) >> 1U;
+  pDst[1] = 0;
+}
+
+
+/**
+  @brief         Core Real IFFT process
+  @param[in]     pSrc      points to input buffer
+  @param[in]     fftLen    length of FFT
+  @param[in]     pATable   points to twiddle Coef A buffer
+  @param[in]     pBTable   points to twiddle Coef B buffer
+  @param[out]    pDst      points to output buffer
+  @param[in]     modifier  twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table
+  @return        none
+ */
+
+void arm_split_rifft_q31(
+        q31_t * pSrc,
+        uint32_t fftLen,
+  const q31_t * pATable,
+  const q31_t * pBTable,
+        q31_t * pDst,
+        uint32_t modifier)
+{       
+        q31_t outR, outI;                              /* Temporary variables for output */
+  const q31_t *pCoefA, *pCoefB;                        /* Temporary pointers for twiddle factors */
+        q31_t CoefA1, CoefA2, CoefB1;                  /* Temporary variables for twiddle coefficients */
+        q31_t *pIn1 = &pSrc[0], *pIn2 = &pSrc[2 * fftLen + 1];
+
+  pCoefA = &pATable[0];
+  pCoefB = &pBTable[0];
+
+  while (fftLen > 0U)
+  {
+     /*
+       outR = (  pIn[2 * i]             * pATable[2 * i]
+               + pIn[2 * i + 1]         * pATable[2 * i + 1]
+               + pIn[2 * n - 2 * i]     * pBTable[2 * i]
+               - pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]);
+
+       outI = (  pIn[2 * i + 1]         * pATable[2 * i]
+               - pIn[2 * i]             * pATable[2 * i + 1]
+               - pIn[2 * n - 2 * i]     * pBTable[2 * i + 1]
+               - pIn[2 * n - 2 * i + 1] * pBTable[2 * i]);
+      */
+
+     CoefA1 = *pCoefA++;
+     CoefA2 = *pCoefA;
+
+     /* outR = (pIn[2 * i] * pATable[2 * i] */
+     mult_32x32_keep32_R (outR, *pIn1, CoefA1);
+
+     /* - pIn[2 * i] * pATable[2 * i + 1] */
+     mult_32x32_keep32_R (outI, *pIn1++, -CoefA2);
+
+     /* pIn[2 * i + 1] * pATable[2 * i + 1] */
+     multAcc_32x32_keep32_R (outR, *pIn1, CoefA2);
+
+     /* pIn[2 * i + 1] * pATable[2 * i] */
+     multAcc_32x32_keep32_R (outI, *pIn1++, CoefA1);
+
+     /* pIn[2 * n - 2 * i] * pBTable[2 * i] */
+     multAcc_32x32_keep32_R (outR, *pIn2, CoefA2);
+     CoefB1 = *pCoefB;
+
+     /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */
+     multSub_32x32_keep32_R (outI, *pIn2--, CoefB1);
+
+     /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */
+     multAcc_32x32_keep32_R (outR, *pIn2, CoefB1);
+
+     /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */
+     multAcc_32x32_keep32_R (outI, *pIn2--, CoefA2);
+
+     /* write output */
+     *pDst++ = outR;
+     *pDst++ = outI;
+
+     /* update coefficient pointer */
+     pCoefB = pCoefB + (modifier * 2);
+     pCoefA = pCoefA + (modifier * 2 - 1);
+
+     /* Decrement loop count */
+     fftLen--;
+  }
+
+}
author	joshua <joshua@joshuayun.com>	2023-12-30 23:54:31 -0500
committer	joshua <joshua@joshuayun.com>	2023-12-30 23:54:31 -0500
commit	86608c6770cf08c138a2bdab5855072f64be09ef (patch)
tree	494a61b3ef37e76f9235a0d10f5c93d97290a35f /Drivers/CMSIS/DSP
download	sdr-software-master.tar.gz